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- 7. Let y(k) = i*c(k) - 5*j(k). What is y(v)? -1 Let h = 5287 - 5292. Let v(q) = 3*q**3 + 16*q**2 + 4*q + 3. Give v(h). 8 Let r be 86/(((-64)/96)/(1/(-3))). Suppose 2*h + i + 0*i + 10 = 0, -5*h + 2*i = r. Let s(n) = n**2 + 4*n - 10. Determine s(h). 11 Let o be (36/27)/((-8)/(-6)) - -1. Suppose -2*m + 26 = 2*m + 5*b, 5*m = o*b + 16. Let w(d) be the second derivative of -d**3/6 + 3*d**2/2 + 6*d. Give w(m). -1 Let w = 111 - 106. Let z(y) = 7 - y - w*y**2 - 11 + 4*y**2. Give z(-3). -10 Let y = 23 + -25. Let b(t) = -22*t**3 + 14*t - 19. Let i(k) = -8*k**3 + 5*k - 7. Let w(x) = 3*b(x) - 8*i(x). Give w(y). 11 Let k be (-2)/6 + 4/3. Let q(n) = -292*n**3 - 2 + 3 + 96*n**3 + 25*n**2 + 114*n**3 + 104*n**3 - 27*n**2. Calculate q(k). 21 Let a(y) = y**3 - 3*y**2 - 6*y + 6. Let r(n) = 7*n + 4. Let h be r(-1). Let u be (-2)/(h*(-2)/(-6)). Suppose u*g + 3*g + 5 = 5*k, -10 = -2*k. Give a(g). -2 Let d(s) be the third derivative of s**6/120 + s**5/10 - s**4/3 - 3*s**3 - 10*s**2 + 15*s. Give d(-6). 30 Suppose -8 = -4*a + 4*m, -4*a + 3 = 4*m - 3*m. Let p be -5 - (0/a)/1. Let y(l) = 0*l**2 + 56*l - 31*l - 6*l**2 - 32*l - l**3 + 2760 - 2764. What is y(p)? 6 Let u(n) be the first derivative of 8*n**3/3 - 24*n**2 - 2*n - 3610. Calculate u(6). -2 Let q(l) = 25*l**3 + 13*l**2 + 15*l + 10. Let o(z) = 21*z**3 + 12*z**2 + 13*z + 9. Let n(f) = 6*o(f) - 5*q(f). Calculate n(-4). 40 Let m(n) = n**2 + 3*n + 2 - 1 + 1 + 1. Suppose 0 = 5*t + 50, -2*b + 4*b - 10 = 2*t. Calculate m(b). 13 Let b(j) = -22*j + 10. Let y be b(1). Let s = 9 + y. Let o(v) = v**2 - 5*v - 4. Give o(s). 20 Let q be 804/(-36) + 14 + 1/3. Let f(v) = 3*v**2 - 2. Let t be f(2). Let c(w) = -w + t + 2*w - 1. Give c(q). 1 Let j(u) be the first derivative of -u**3/6 - 9*u**2/2 + 13*u + 20. Let q(l) be the first derivative of j(l). Let a = 553 + -561. Calculate q(a). -1 Let v(a) = 3*a - 115*a**3 + 132 + 6290*a**2 + 114*a**3 - 6323*a**2 + a. What is v(-33)? 0 Let w(t) = -t - 2. Let r be w(-5). Let s(m) = -4*m + m**r - 5*m + 2 + 2 - 7*m**2. Suppose 0 = -41*u - 71*u - 74 + 970. What is s(u)? -4 Let s(u) = u**3 - 5*u**2 + 3*u + 1. Let l(d) = -2*d**2 - 29*d + 19. Let y be l(-15). Suppose 0 = -15*o - y*o + 57. Give s(o). -8 Let a(h) = -10*h**2 + 3. Suppose -3*x + 8 = 5*b - 3, -7 = -2*x - 3*b. Calculate a(x). -37 Let m(s) = s**3 + 7*s**2 + 5*s + 5. Let c be (0 - 0) + 0/(-2 + -5). Suppose -3*t + 15 = -c*t. Suppose -t*i = 4*i + 54. What is m(i)? 11 Suppose 4*n - 91 - 14 = c, -5*n = -7*c - 114. Suppose -n*y + 71*y = 0. Let t(i) = i - 8. Calculate t(y). -8 Let m(y) = 5776721*y**2 - 5 + y**3 + 6*y - 5776715*y**2 + 13. Let x(w) = -w**2 + 5*w - 5. Let c be x(5). Give m(c). 3 Suppose -76*j + 86*j - 220 = 0. Let o(v) = -j - 7*v + 23 + 8*v - 3*v**2. Calculate o(-2). -13 Let f(y) be the first derivative of 25*y**2/2 - 32*y - 4728. Calculate f(2). 18 Let d(z) = 2*z**3 - 79*z**2 + 5*z + 1. Let h(q) = -20*q**2 + q. Let f(n) = d(n) - 4*h(n). Suppose -3 = c - 2. Determine f(c). -1 Let p(t) = -t**2 + 7*t - 5. Suppose 0*w = -3*w - 0*w. Suppose w = a + a - 16. Suppose -a*g + 13 + 43 = 0. What is p(g)? -5 Let f(i) = 20*i + 8. Let v(d) = -12*d - 9. Let w(l) = 2*f(l) + 3*v(l). Give w(3). 1 Let b(h) = -11*h**3 - 26*h - 2. Let i(y) = -y**3 + 6*y + 1. Let x(f) = -b(f) - 4*i(f). What is x(2)? 122 Let d(p) = -p**3 + p**2 + 9*p + 7. Let b be 5*(39/(-52))/(45/24). Determine d(b). 1 Suppose -9 = -4*h + y - 36, 4*y = -3*h - 25. Let t(z) = -z**2 + z + 5. Let m be t(0). Let l(s) = 4*s + 6*s - 5*s + s - m + s**2. What is l(h)? 2 Let q(w) = w**3 + 6*w**2 - 28*w - 66. Let s be q(-2). Let b(a) = 20*a - 14. What is b(s)? 106 Suppose 276 = -141*s + 187*s. Let f(d) = -156*d + 932. Give f(s). -4 Let y(p) = 2*p**2 + 12*p - 14. Let h be (-9)/51 + (-11880)/2040. Give y(h). -14 Suppose 4*s = -3*b + 5, 0 = -0*s - 4*s - 4*b. Let w(k) = -4 + 5*k - 2*k + s. Let r(f) = 5*f + 1. Let z(m) = 4*r(m) - 7*w(m). Give z(-3). 0 Suppose 17 = 2*r + l, 0 = -5*r + 2*l - 7*l + 55. Let t be (-6 + 5 - 3) + r. Let s(n) = -3*n**2 + 3*n - 1. Calculate s(t). -7 Let i(z) be the third derivative of 0*z + 0*z**4 + 39*z**2 - z**3 + 0*z**5 + 0 + 1/120*z**6. What is i(0)? -6 Let p(z) = -z**3 - 6*z**2 + z + 1. Let t be (-5 - 33/(-21))*-14. Let n = t + -54. Determine p(n). -5 Let l(c) be the third derivative of 3*c**4/4 + 91*c**3/3 - 42*c**2. Determine l(-12). -34 Let x(a) = -a**2 - 9*a + 4. Suppose -77*u = -71*u. Let l(y) = y**3 - 2*y**2 - 6*y - 10. Let m be l(u). What is x(m)? -6 Let o(t) = -4*t**2 - 111*t - 270. Let g be o(-25). Let u(i) = -3*i**2 + 20*i - 41. Determine u(g). -16 Let f(o) be the first derivative of -o**2/2 + 4*o + 1. Let d(p) = -p**2 + 9*p + 37. Let s be d(6). Let w = s + -52. Give f(w). 1 Suppose -33*s - 123 = 56 + 151. Let m(y) = -y**3 - 9*y**2 + 7*y + 23. Give m(s). 53 Let u be ((-40)/(-24))/(2/6). Suppose -u*h - 2*w = 86, -3*w - 2*w = -10. Let s = h - -12. Let f(b) = b**2 + 8*b + 8. Give f(s). -4 Let o(w) = -5 + 5 + 4 - w + 4. Let s(q) = -2*q**2 - 10*q + 165. Let h be s(11). Let v = h - -194. What is o(v)? 1 Let o(s) be the second derivative of s**5/20 - s**4/12 + s**3/6 - 7*s**2/2 + 2487*s. What is o(0)? -7 Let c(y) = -9 + 19*y - 17*y**2 + y**3 + 2 + y + 75*y**2 - 37*y**2. Calculate c(-20). -7 Let t(q) = q - 4. Let o(f) = -12*f + 126. Let a(h) = o(h) + 30*t(h). What is a(-4)? -66 Let l(g) = -23*g**2 + 5 - 18*g**2 + 76*g**2 + 3*g**3 - 27*g**2. Determine l(-4). -59 Let w(o) = o - 3. Let n(m) = 4*m**2 + 34*m - 8. Let b be n(-8). Let s be 21*(0 + 1 - b/(-6)). Let f = 59 + s. Determine w(f). -7 Let h(x) = -x**3 - 3*x**2 + 12*x + 6. Suppose -4*t = 2*p - 36, 0*p - 18 = -2*t - 3*p. Suppose 0 = 2*l - 3*k + 1, -t = 3*l - k - k. Determine h(l). -4 Let w(q) be the second derivative of q**5/10 + 5*q**4/6 + 7*q**2/2 - 6055*q. Let y(n) = -4*n + 3. Let x be y(2). Determine w(x). 7 Let n(q) = -q - 1. Suppose -2963 = 7*p + 1881. Let v = 688 + p. Determine n(v). 3 Let j = -16 + 19. Let k(r) = -8 + 0*r**2 + 4 + r**2 - j*r - 8. What is k(6)? 6 Let o(x) = -x**3 - 3*x**2 + 10*x - 12. Let r be o(-8). Let i = r - 230. Let j(a) = 9*a - 1. What is j(i)? -19 Let h(p) = p**3 - 5*p**2 - 2*p - 11. Let s(b) = -2*b**2 + b + 1. Let x(l) = -h(l) + 5*s(l). Determine x(-5). -19 Let h(q) be the second derivative of q**5/20 + 2*q**4/3 + 5*q**3/3 - 6*q. Let s = 4347 + 303. Let i be (-4)/(-78)*3 + s/(-650). What is h(i)? -21 Let n be (-3)/(3/(-2)) + 3. Let c(k) = 2*k - 10. Let x(g) be the third derivative of g**4/24 + g**3/6 - 150*g**2. Let p(t) = -c(t) - 3*x(t). Give p(n). -18 Suppose -5*k = -o - 7*k + 65, 3*o = 5*k + 162. Let w = o - 57. Let c(g) = 6*g**2 + 0*g + 2 - 47*g**3 + 46*g**3 + w - g. Determine c(6). -2 Let r(v) = v**3 - 10*v**2 - 11*v - 10. Suppose -305*h + 1116 + 1934 = 0. What is r(h)? -120 Let k(o) = -30*o - 5. Let x be k(0). Let w(t) = t**3 - 5*t**2 + t + 2. Let a(y) = y**3 - 1. Let h(v) = -2*a(v) + w(v). Determine h(x). -1 Let a(x) = -2*x**2 - 20*x + 26. Let c(z) = z**2 + 11*z - 12. Let h(l) = -6*a(l) - 11*c(l). What is h(7)? 18 Let o(c) = 0*c + 2*c + 1460 - 3*c - 1453. Give o(3). 4 Let c be (-5)/(90/12)*1167. Let m = -781 - c. Let x(k) = -k**3 + k**2 + k + 1. Give x(m). 34 Let u(s) = -3*s**3 - s**2 + 1. Let d be (27/(-12))/((-12)/16). Let y be (-53 - -50)*1/d. Calculate u(y). 3 Let y(p) = -3*p**2 + 8*p + 12. Let r be -15 + 7/(-21)*-66. What is y(r)? -79 Let m = 11 + -6. Suppose -a - m*a = -24. Let i(c) = -11*c + 5*c + a + 7*c. Calculate i(6). 10 Suppose -93 = -70*c + 39*c. Let b(d) = 3 + 0*d**2 - d**3 - 4*d**2 + 0*d**2 + d**2 + 6*d**2 + 2*d. Calculate b(c). 9 Let d = 79 - 52. Let l(z) = z + z + 22 - 48 + d. Suppose 5*m + 2*k + 12 = 34, 3*m + 3*k = 15. Calculate l(m). 9 Let g(c) = 9*c**3 - 8*c**2 - 4*c + 14. Let s(i) = 22*i**3 - 14*i**2 - 8*i + 28. Let f(y) = -5*g(y) + 2*s(y). What is f(12)? 34 Let x(o) = o**3 - o**2 - 3*o - 1. Let a be x(-1). Suppose -9*b + a*b = 639. Let i = b + 75. Let m(v) = v + 1. What is m(i)? 5 Let h(d) be the first derivative of d**2 + d + 4/3*d**3 + 377. Suppose 0 = -3*g - 5*i - 23, 2*g + 4*i + 21 = -3*g. What is h(g)? 3 Let d be (-26)/325 + 2706/75. Let c be d/27*(-2 - -5). Let w(g) = -4*g**3 - 6 + 3*g**2 + 7*g + 3*g**3 - g. Calculate w(c). 2 Suppose -264 + 124 = 20*r. Let h(c) = -c**2 - 5*c + 12. Give h(r). -2 Let b be (6/(-5))/(2/(-5)) - 7. Let s = b - -6. Let p(x)
{ "pile_set_name": "DM Mathematics" }
is the tens digit of q + -2 + i/(-3)? 1 Let t = -2 - 0. What is the units digit of (5 + (t - 2))*7? 7 Let u(o) be the first derivative of 2*o**3/3 + 2*o**2 + 5*o + 14. What is the tens digit of u(4)? 5 Let k = -34 - -39. Suppose -k*h + 0*h + 800 = 4*s, 4*h = -5*s + 649. What is the tens digit of h? 5 Let s = 1608 - 1064. What is the tens digit of s? 4 Let t(n) = -n**3 - 9*n**2 - 4*n + 13. Let y = 11 + -20. Let h be t(y). Suppose -5*x + 86 = -h. What is the tens digit of x? 2 Suppose -r + 5*q = 5, 3*q = -3*r - 52 - 35. Let o = r + 158. What is the hundreds digit of o? 1 Let x = 17 - 13. Suppose 3*v + x*u = 66 + 23, -3*u = -6. Suppose 4*m - 7 - v = -2*c, 13 = -c + 4*m. What is the units digit of c? 7 Let l(d) = 29*d - 3. Let j be l(4). Suppose -2*v = 5*b - 3*v + j, -3 = -v. Let s = b - -42. What is the tens digit of s? 2 Suppose 4*k + 5*n - 1297 = 6*n, -2*k - 4*n + 644 = 0. Suppose -4*u + k - 4 = 0. What is the tens digit of u? 8 Suppose -11*d + 60 = -8*d. Suppose -d = -x + 18. What is the tens digit of x? 3 Suppose x - 36 = 5*x. Let d = 20 + x. What is the tens digit of d? 1 Suppose 27*g = -15*g + 294. Let k = -8 + 12. Suppose -k*p + g*p = 21. What is the units digit of p? 7 Let z(d) = -d + 16. Let t be z(9). Suppose t*k - 5*k - 152 = 0. What is the units digit of k? 6 Let g = 3124 - 2118. What is the thousands digit of g? 1 Let l(x) = -3*x + 1. Let z be l(-1). Let t(c) = 3*c - 10. Let p be t(z). Suppose 0*k = -p*k + 72. What is the units digit of k? 6 Let m(g) = 6*g**2 + 34*g + 12. What is the tens digit of m(-6)? 2 Let f be 4/(-14) + 264/42 + -4. Suppose 3*r + r + 3*z - 266 = 0, f*z - 200 = -3*r. What is the units digit of r? 8 Suppose 21*m = 20*m - 293. Let w = 153 + m. What is the tens digit of (-6260)/w + (-2)/(-7)? 4 Let o be (-18)/30 - 594/10. Let l be (-4)/(-10) - 216/o. Suppose -155 = -l*u - u. What is the tens digit of u? 3 What is the thousands digit of (129*(-14)/(-84))/(2/108)? 1 Let v be -12 - (-1 - -2)*-1. Let i = -13 - v. Let c(y) = -2*y**3 + y**2 - y. What is the units digit of c(i)? 2 Let z be (14 + -4 + 3)/1. Let g = 16 + z. What is the units digit of g? 9 Suppose -5*c + 2000 = -5*z, c - 3*z = -c + 801. What is the units digit of c? 9 What is the units digit of -1 + (-4 - -8 - -5371)*1? 4 Suppose 372*a - 370*a - 1522 = 0. What is the hundreds digit of a? 7 Let x be (-20)/(-5) + 0 - 129. Let b = -88 - x. Suppose 36*n - b*n + 39 = 0. What is the tens digit of n? 3 Let y = -119 + 69. Let q = 74 + y. What is the units digit of q? 4 Suppose 2*b + 2 = 136. What is the units digit of b? 7 Let w = -797 - -1806. What is the thousands digit of w? 1 Let p(z) = -25. Let i(b) = -b + 26. Let c(w) = 5*i(w) + 6*p(w). What is the tens digit of c(-8)? 2 Let k(j) = -44*j + 36. What is the hundreds digit of k(-5)? 2 Suppose -4*x - 2*z = -507 + 35, -464 = -4*x + 2*z. Let a = -47 + x. Let q = -24 + a. What is the units digit of q? 6 Suppose 32 = 3*q + n - 0*n, 31 = 3*q + 2*n. Suppose 0 = -4*k - 3*o - 72, 5*o - 9 - q = 0. What is the units digit of -1 + (1 - (k + 3))? 8 Suppose b - w + 6*w - 4044 = 0, -b = 3*w - 4050. What is the thousands digit of b? 4 Suppose 7*m = 2*m + 4*j + 156, -3*m + j = -88. What is the hundreds digit of (-9*6/(-7))/(2/m)? 1 Let x be (-6)/(-8)*(-40)/(-15). Let l be (x + 0)*(2 + 5). Suppose l - 59 = -5*s. What is the units digit of s? 9 Suppose -12*k - 7260 = -14*k - 2*v, 0 = -k + 4*v + 3635. What is the hundreds digit of k? 6 Let i(j) = -j**2 + 21*j - 24. Let k be i(14). Let p = k + 13. What is the units digit of p? 7 Let h(u) be the third derivative of 79*u**4/24 + u**3/6 - 2*u**2. Let p be h(1). Suppose 15*w - 11*w = p. What is the tens digit of w? 2 Let k be 3/2*(-40)/6. Let u = -5 - k. Suppose 5*y + 2*b - 24 = 0, -u*y - 2*b = -y - 20. What is the units digit of y? 4 Let p(j) = -180*j**3 + 2*j**2 + 2*j - 1. Let v be p(-1). Let s = -60 + v. What is the units digit of s? 9 Suppose -5*l - 10 = 0, l + 4*l = -5*s - 10. What is the hundreds digit of 96 + s + 0/(-2) + 4? 1 Let a = 0 - -2. Let v be 8/24 + (2 - (-310)/6). Suppose u + 256 = 6*u + 4*c, -u = -a*c - v. What is the units digit of u? 2 Let q(b) = 6*b**2 - 5*b**2 + 34 - 27*b - 2*b**2. What is the units digit of q(-21)? 0 Suppose -3*y + 72 + 164 = 4*s, 4*s - 5*y - 236 = 0. Let t = s - 12. What is the tens digit of t? 4 Let p(h) = -4*h - 15. Let o be p(-6). Let w be (-104)/(-6) - (-6)/o. Suppose -a + 18 = -w. What is the units digit of a? 6 Let p be 0*-1*(0 + 1). Let z(r) be the second derivative of r**4/12 + r**3/6 + 5*r**2/2 - 65*r. What is the units digit of z(p)? 5 Let a = 0 + -1. What is the units digit of 44 - 0/(-3) - (-1)/a? 3 Let v be 6*(2 - 4)*2/4. Let o(j) = -j**3 - 3*j**2 - 3*j. What is the units digit of o(v)? 6 Suppose -8 = f - 2*r, -3*r + 13 = 3*f - 8. Suppose 0*m + 4 = -2*m, 0 = -f*w + m + 254. What is the hundreds digit of w? 1 What is the units digit of 2 + 1227*2/6? 1 Let z = -25 + 39. Suppose 5*q + z = -6. Let t = q - -8. What is the units digit of t? 4 Suppose 0 = 23*q - 21*q + 2284. What is the tens digit of 2/(-6) - q/6? 9 Let x = 10 + -8. Suppose 0 = 5*d + 4*l - 2*l - 30, -x*l + 10 = 0. What is the units digit of 24 - (-5 + d + -3)? 8 Let h(w) = 60*w**2 + 10*w - 11. What is the units digit of h(1)? 9 Suppose 1016 = 4*t - c, -5*t - 4*c = -1591 + 321. What is the hundreds digit of t? 2 Suppose 167 = 4*g - 201. What is the units digit of g? 2 Let b(x) = -2*x**3 - 6*x**2 - x + 4. Suppose 0 = -r + 2*l - 6, -2*r + 0*r + l - 9 = 0. What is the tens digit of b(r)? 4 Suppose 39*i + 14102 = 5*r + 38*i, 5*r + i - 14098 = 0. What is the tens digit of r? 2 Suppose v = r + 617, -3*v - 2*r + 1811 = 3*r. What is the tens digit of v? 1 Suppose -5*g - 2 = -3*g. Let p be 3 - (0 - -3) - g. What is the units digit of p/((3 + -4)*-1)? 1 Let d be (4/3)/(3 + (-46)/18). Suppose -d*j + 5*q = -55, -4*q + 0*q - 34 = -2*j. What is the tens digit of j? 2 Let i = 9 - 6. Suppose -2*l - 80 = i*l. What is the units digit of (-1)/(l/12 - -1)? 3 Let x = -233 + 3903. What is the units digit of x? 0 Suppose 2*q - 6*r = -4*r - 2, 4*q = 5*r - 8. Let w(a) be the third derivative of a**5/30 - a**4/6 - 3*a**2. What is the units digit of w(q)? 6 Let i be (210/45)/((-4)/6). Let b(l) = -l**2 - 7*l + 2. Let u be b(i). Suppose 92 = 2*p - u. What is the units digit of p? 7 Suppose 350 = -15*b + 2150. Suppose -2*l + 6*l = -3*j - 22, j = -3*l - 19. What is the units digit of (-2)/l - b/(-21)? 6 Let o be (-6)/(-21) - (-6)/(-21). Suppose 4*z + o*z + 16 = 0. What is the tens digit of -10*z/(-6)*-3? 2 Let c(a) = 1782*a - 325. What is the hundreds digit of c(2)? 2 What is the hundreds digit of (-8 - -6) + 9 + 166? 1 Let j = 1766 + -156. What is the tens digit of j? 1 Suppose 7*g = 3*g + 4192. What is the thousands digit of g? 1 Let x = 15 - 15. Let a(b) = -4*b + 22. What is the tens digit of a(x)? 2 Let t = -12 + 4. Let i = t - -63. Suppose -5*g + 2*x + 95 = 6*x, 2*x = -3*g + i. What is the units digit of g? 5 Let m be -6 - -1 - (5 + -1). Let y = m - -16. Suppose -10*u + y*u = -108. What is the tens digit of u? 3 What is the tens digit of (12 - 0)*(-5)/(-15) + 5043? 4 Let c(i) = i**3 - 6*i**2 + 4*i - 5. Let d be c(5). Suppose 4*h + 3*o - 6*o = 13, 5*h - 20 = 5*o. What is the units digit of 25/h - (-11 - d)? 6 Suppose 20*k = -4*k + 6024. What is the units digit of k? 1 Suppose 0 = -4*q - 3*m - 85, -3*m = -0*m - 3. Let g be 458/q + 4/(-22). Let r = 32 + g. What is the tens digit of r? 1 Let q(y) = -7 + y - 9*y + 7*y. Let a be q(0). Let s(z) = z**3 + 7*z**2 - 2*z - 4. What is the units digit of s(a)? 0 Suppose j + 2*z = 1701, -j - 5*z = -181 - 1508. What is the units digit of j? 9 Let y = 2082 + 796. What is the hundreds digit of y? 8 Let a be 4/(-14) - 31100/(-70). Let m = a + -233. What is the hundreds digit of m? 2 Let k be (2 - (-5 - -5))/(2*1). What is the units digit of ((-35)/30)/(((-2)/12)/k)? 7 Let k(z) = z**3 + 34*z**2 + 54*z + 14. What is the tens digit of k(-32)? 3 Let x be (-2)/(-5) - 17432/(-20). Suppose -27*i = -23*i - x. Suppose 5*j - 4*m - i = 0, -3*m = 3*j - j - 101. What is the tens digit of j? 4 Suppose -2 = a - 84. Let h = 11 + -6. Suppose -108 - 36 = -h*l + 3*w, -4*w = -3*l + a. What is the units digit of l? 0 Suppose -28*k - 4*r = -33*k + 3424, -3*r = -k + 676. What is the tens
{ "pile_set_name": "DM Mathematics" }
2. Let v(z) = -25*z. What is b(v(s))? 2281151875*s**2 Let w(v) be the first derivative of 3*v**3 - 946 - 4*v**3 + 446 + 392. Let a(t) = 89*t. Determine w(a(m)). -23763*m**2 Let k(c) = 144*c - 110. Let b(w) = 791*w - 616. Let a(p) = 5*b(p) - 28*k(p). Let q(f) = -11*f**2. What is a(q(j))? 847*j**2 Let a(b) = 2*b**2. Let x(d) = -945653076*d. Calculate a(x(p)). 1788519480296523552*p**2 Let l(i) = 9*i. Let z(c) = -5*c. Let r(y) = -4*l(y) - 7*z(y). Let g(b) = -3*b + 127. Let v be g(34). Let q(n) = 0*n + 4*n - v + 25. What is q(r(a))? -4*a Let a(m) = -12*m**2 - 7*m**2 + 11*m**2. Let z(o) = 169*o + 171*o - 350*o. What is z(a(f))? 80*f**2 Let a(l) = -8*l - 3*l + l + 6*l - l. Let m(z) = -1483*z. Determine m(a(t)). 7415*t Suppose -7*x + 3*x + 16 = 0. Suppose t = 0, x*l - 3*l - 3 = -3*t. Let c(h) = -770*h - l*h**2 + 770*h. Let m(a) = 18*a**2. Determine m(c(k)). 162*k**4 Let h(d) be the first derivative of d**3/3 + 6708. Let c(i) = i - 3354. Determine c(h(k)). k**2 - 3354 Let y(a) = -12*a**2. Let v be ((-44)/10 - -2)/(9*(-9)/270). Let d(c) = -c**3 + 4*c**2 + 5. Let i be d(4). Let h(j) = -5*j + v*j - 5*j + i*j. Determine h(y(t)). -36*t**2 Let y be -4 + 4/(-14) + (-176)/(-28). Let i(v) = 6*v**y + 40470 - 40470. Let j(n) = -2*n. Calculate i(j(a)). 24*a**2 Let r(h) = 8*h**2 + 0*h**2 - h**2. Let f(j) be the second derivative of 19*j**3/6 + 12368*j. Give f(r(d)). 133*d**2 Let i(d) = -26*d**2 - 7732628*d + 7732628*d + 75*d**2. Let u(v) = 4*v. Calculate u(i(h)). 196*h**2 Suppose -3*g + k + 3 = 0, -6*g = -4*g + 3*k - 13. Let c(m) = 0*m - 1 - 3*m - g*m + 3. Let u(v) = -2*v**2. Calculate c(u(i)). 10*i**2 + 2 Let a(l) = -24*l + 5. Let o(v) = -5*v**2 - 48*v + 8. Let w(t) = 2*t**2 + 18*t - 3. Let z(n) = -3*o(n) - 8*w(n). Determine z(a(r)). -576*r**2 + 240*r - 25 Let t(k) = -31*k + 6. Let h(m) = -72*m + 14. Let d(f) = 3*h(f) - 7*t(f). Let s(a) = -3 - 154*a + 76*a + 1 - 105*a. Determine s(d(g)). -183*g - 2 Let n(g) = -236093*g. Let f(s) = 9*s. Calculate n(f(h)). -2124837*h Let n(d) = 125*d**2 + 4*d + 8. Let p(t) = 124*t**2 + 3*t + 6. Let a(v) = 3*n(v) - 4*p(v). Let g(u) = -u**2. Calculate a(g(k)). -121*k**4 Let d(x) = 2*x**2. Suppose -4*y + 2855 = -1529. Let f be (30/20)/(6/y). Let c(r) = -11*r + 274 - f - 7*r. Calculate c(d(m)). -36*m**2 Let m(c) be the third derivative of 0 + 0*c + 7/24*c**4 - 127*c**2 + 0*c**3. Let t(u) = -16*u**2. What is m(t(p))? -112*p**2 Let a = -84 + 66. Let x = a - -20. Let l(c) = -16*c**2 - 9*c**x - 9*c**2 + 35*c**2. Let n(d) = 8*d**2. What is n(l(t))? 8*t**4 Let r(o) = -o**2. Suppose w + 5*l + 2 = 0, 6*w - 30 = 3*w + 3*l. Let a(q) be the first derivative of 0 + 5*q**2 + 5*q**2 + 4*q**2 - w. What is a(r(i))? -28*i**2 Let z(o) = 11*o**2. Let q(p) be the third derivative of 0*p**3 + 2*p**2 + 19*p + 3/8*p**4 + 0. Determine q(z(v)). 99*v**2 Let f(z) = -3399*z - 30. Let p(c) = -146151*c - 1296. Let l(a) = 216*f(a) - 5*p(a). Let u(t) = -t. Determine u(l(r)). 3429*r Let q(r) = 3169*r. Let w(g) = -9*g - 24. Let n(h) = 25*h + 64. Let i(a) = -3*n(a) - 8*w(a). What is q(i(s))? -9507*s Let i be (25/30)/(5/30). Let n(v) = v + 6*v + v - i*v. Let d(p) = -22*p**2. Determine d(n(j)). -198*j**2 Let t(y) = 3*y. Let n(a) = 15*a**2 - 33 + 38517*a - 38517*a. Determine t(n(s)). 45*s**2 - 99 Let w(f) = -3*f**2. Suppose -4*n + 248 = 6*c - c, n - 153 = -3*c. Let k(v) = 63*v + c*v - 104*v. Determine k(w(l)). -33*l**2 Let k(g) = -g**2. Let i(x) = -x**2 + 8*x + 147. Let f be i(0). Let h(q) = -63*q - 2*q**2 - f + 147. Give h(k(l)). -2*l**4 + 63*l**2 Let s(j) = j**2. Let r be (308/(-33) + 10)/(4/18). Let h(d) be the third derivative of 5/24*d**4 + 0*d**r + 7*d**2 + 0*d + 0. Calculate s(h(x)). 25*x**2 Let d(f) = 40183*f + 2. Let k(o) = 3*o + 77. What is d(k(h))? 120549*h + 3094093 Let h(w) = 5*w + 204. Let z(l) = -12*l - 191. What is z(h(a))? -60*a - 2639 Let x(l) = 9202*l. Let g(n) = 2*n + 876. Calculate g(x(z)). 18404*z + 876 Let p(i) = 3*i**2. Let v(x) = 65*x**2 - 598*x + 1. Calculate v(p(h)). 585*h**4 - 1794*h**2 + 1 Let y(g) = 8*g - 5573*g**2 + 2 + 147 + 5572*g**2. Let u(w) = 2*w. Give u(y(j)). -2*j**2 + 16*j + 298 Let x(c) = -c. Let o(k) = 611*k - 661936 + 661936. Give o(x(v)). -611*v Let x(g) = 7*g**2 - 31*g**2 + 60*g**2 - 7*g**2. Let y(d) = -3*d - 3. What is x(y(m))? 261*m**2 + 522*m + 261 Let j(k) = -83*k - 2. Let r(b) = 317*b + 8. Let s(l) = 23*j(l) + 6*r(l). Let z(m) = 2*m**2 - 10*m. Give z(s(f)). 98*f**2 + 14*f - 12 Let v = 3 + -1. Let q(y) = -2*y**2 + 2*y**v - y**2 + 2*y**2. Let m(t) = -15*t - 2. Let a(h) = -23*h - 3. Let j(x) = 2*a(x) - 3*m(x). Give q(j(r)). r**2 Let m(f) = 152051*f - 14. Let r(u) = 3*u. Give m(r(z)). 456153*z - 14 Let o(q) be the third derivative of 452*q**4/3 - 483*q**2. Let d(y) = 2*y. Calculate o(d(f)). 7232*f Let g(k) be the third derivative of -k**4/24 - 1422*k**2. Let r(b) = 12*b + 9. Give g(r(n)). -12*n - 9 Let l(b) = -2*b. Let r(y) be the second derivative of -8*y + 0*y**2 - 5/3*y**3 + 0. Calculate r(l(j)). 20*j Let j(n) = -27*n**2. Let y(w) = -w**3 - 7*w**2 + 7*w + 6. Let u = -125 + 117. Let b be y(u). Let i(h) = -28 + 3*h + 14 + b. Calculate j(i(v)). -243*v**2 Let r(v) be the third derivative of -7*v**5/30 + 2122*v**2. Let k(a) = -4*a**2 - 5*a + 2*a + 3*a. Calculate r(k(u)). -224*u**4 Let k(u) = -4*u**2 - 2*u - 12. Let d(o) = 21*o**2 + 11*o + 66. Let b(q) = 2*d(q) + 11*k(q). Let g(w) = -456*w**2. Determine b(g(h)). -415872*h**4 Let q(a) = 9*a + 13. Let s(h) = 165 - 37137*h**2 + 37141*h**2 - 165. What is q(s(w))? 36*w**2 + 13 Let k(o) = -14*o**2 - 26*o**2 + 28*o**2. Let f(r) = 4*r**2 + 40. Determine f(k(t)). 576*t**4 + 40 Let n(g) be the first derivative of 7*g**3/3 - 74. Let c(o) = 2*o**2 - 3*o**2 + 2*o**2 + o**2. Calculate n(c(v)). 28*v**4 Let c(a) = 3*a**2 + 285*a. Let s(p) be the first derivative of -p**3 - 8544. Determine c(s(f)). 27*f**4 - 855*f**2 Let h(s) = -5045*s. Let o(i) = -162*i**2 - 25*i + 25. Let c(k) = 13*k**2 + 2*k - 2. Let l(n) = -75*c(n) - 6*o(n). What is h(l(t))? 15135*t**2 Let f(k) be the second derivative of 155*k - 1/6*k**3 + 41/12*k**4 + 0*k**2 + 1. Let i(b) = -b**2. Calculate i(f(t)). -1681*t**4 + 82*t**3 - t**2 Let b(m) = -2*m**2. Suppose 17*n - 24*n + 189 = 0. Let w(k) = 51*k - 24*k + 5*k**2 - n*k. Determine w(b(f)). 20*f**4 Let s(n) = 4047104*n. Let l(a) = -3*a + 3. What is s(l(h))? -12141312*h + 12141312 Let b(j) = -j. Let i(f) = -923*f - 68. Let l(r) = -7. Let c(u) = i(u) - 10*l(u). What is c(b(d))? 923*d + 2 Let w(k) = -175*k**2 - 6*k - 76. Let c(r) = -r**2 + r + 13. Let x(n) = -6*c(n) - w(n). Let d(f) = 7*f**2. Give x(d(o)). 8869*o**4 - 2 Let n(f) = 18*f - 4. Let h(u) = 110*u**2 - 16*u - 32. Let v(t) = -35*t**2 + 5*t + 10. Let o(s) = -5*h(s) - 16*v(s). Determine o(n(g)). 3240*g**2 - 1440*g + 160 Let y(w) = 67*w - 2. Let d be y(2). Let p(a) = -277*a**2 + d*a**2 + 141*a**2. Let c(j) = 4*j. Determine c(p(s)). -16*s**2 Let w(c) = -457753*c. Let a(z) = 12*z. Give a(w(k)). -5493036*k Let x(b) = 23*b. Let p(j) = 713*j + 868. Let l(q) = 34*q + 42. Let s(c) = -62*l(c) + 3*p(c). Give x(s(g)). 713*g Suppose 2*z = -4*k, 1 = -5*k - 4. Let p(t) = -6*t**z - 39746 + 39746. Let x(w) = 9*w. Calculate x(p(q)). -54*q**2 Let x(k) = -2*k**2. Let b(l) = -44032075*l**2 + 110170*l + 55085. Let t(n) = 2398*n**2 - 6*n - 3. Let m(u) = -6*b(u) - 110170*t(u). Give m(x(w)). 19160*w**4 Let d(l) = l + 4480. Let b(n) = 23*n**2 + 1600. Determine b(d(i)). 23*i**2 + 206080*i + 461620800 Let w(j) = -109 + 170*j**2 + 170 + 277 - 79*j**2 - 92*j**2. Let f(h) = 14*h**2. Determine f(w(n)). 14*n**4 - 9464*n**2 + 1599416 Let j(o) = -152*o**2 - 15*o + 17. Let c(y) = -115*y**2. What is j(c(l))? -2010200*l**4 + 1725*l**2 + 17 Let x(z) = 30*z. Let c(h) = 24*h**2 - 3. Let v(u) = 27*u**2 - 4. Let i(g) = 4*c(g) - 3*v(g). Calculate i(x(p)). 13500*p**2 Suppose 572 = 56*o - 4*o. Let a(x) = -13*x**2 - 2*x**2 - o*x**2 + 36*x**2. Let g(v) = -18*v**2. Calculate g(a(j)). -1800*j**4 Let s(y) = y**3 - 3*y**2 - 8*y + 8. Let h be s(7). Let d(t) = -h*t - 2 - 8 + 10. Let o(i) = -2*i**2. Determine d(o(b)). 296*b**2 Let o(y) = 1169*y. Let h(b) = 2*b**2 - 908*b + 1747*b - 839*b. Calculate o(h(n)). 2338*n**2 Let n(f) be the second derivative of 0 + 1/6*f**3 + 0*f**2 - 62*f. Let c(j) = -j - 18. Calculate c(n(t)). -t - 18 Let x(g) = g**2 + 2*g - 4. Let b(z) = -24*z**2 -
{ "pile_set_name": "DM Mathematics" }
i**2 + (-4*i - i + 6*i)*(i - 3*i + 5*i) - 3*i**2 + 0*i**2 + i**2 + 2*i**2 - 10*i**2 + 5*i**2. -i**2 Expand 0*p**3 - 3*p**4 + 0*p**3 + (1 - 1 + 2*p**2)*(-12 + 12 - 10*p**2). -23*p**4 Expand (-4 + 4 - 3*i)*(i + 2*i + 0*i + i**2). -3*i**3 - 9*i**2 Expand (y + 0*y + y)*(3 - 2 + 0) + 16 - 16 + 3*y. 5*y Expand -2 + 2*m**2 + 2 + (-3*m + 0*m + m)*(0*m + 3*m - m) + 2*m**2 + 0*m**2 - m**2 + 1 - 3*m + 5 + 3*m**2 - 5. 2*m**2 - 3*m + 1 Expand (2*d + d - 2*d)*(5 - 1 - 1) + 2*d + 0*d + 3 - 5. 5*d - 2 Expand (-4*x + 6*x - 4*x)*(-2 + 1 - 1). 4*x Expand -4 + 4 - 2*y**5 + (-3*y**3 + y**3 + 3*y**3)*(-11*y**2 + 19*y**2 - 3*y**2). 3*y**5 Expand (-3 + 3 + 3*w - 3*w + w + 4*w + (-3 + 6 - 1)*(4*w - 3*w - 3*w))*(-2 - 1 - 3). -6*w Expand (-3*x**2 + x**3 + 3*x**2)*(2 + 3 - 4) + 7*x**3 + 8 - 8. 8*x**3 Expand (2 - 5*f + 3*f - 1)*(0*f**2 + 0*f**2 - 3*f**2). 6*f**3 - 3*f**2 Expand (-2 - 2 + 2)*(-2*z - 2 + 2)*(18 + 5 - 16). 28*z Expand (-3*x + 0 + 1 + 4*x)*(-10 + 10 - 8*x)*(-1 + 1 + x). -8*x**3 - 8*x**2 Expand (0*r + 3*r - 5*r)*(-11 + 19 + 56) + 0*r - r + 0*r. -129*r Expand 0*h**3 - 2*h**5 + 0*h**3 + (h - h + 7*h**3)*(23 - 23 - 2*h**2). -16*h**5 Expand 0*m**5 + 4*m**5 - 3*m**5 - 2*m**5 + 4*m**3 - 4*m**3 + 5*m**5 - m**5 - 2*m**5 + (0*m + 0*m + m**5)*(0 + 2 - 4) + 3*m**5 - 2*m**5 - 3*m**5. -3*m**5 Expand (-1 + 6 - 3)*(0*l + 2*l - 4*l) - 4*l + l + 2*l + (4*l - 4*l - 2*l)*(1 - 3 + 3) - 3*l + 6*l - l. -5*l Expand (4*u - u - u)*(-4*u + 3*u + 0*u) + (1 - 2 - 2)*(0*u + 2*u - u)*(-4*u + u + u). 4*u**2 Expand 2*f + 2*f - 3*f + 5 - 5 - 8*f - 4*f + 2*f + 4*f + (1 - 1 + 2)*(-f + 1 - 1) - 3 + 3 - f - f + 0*f + 3*f. -6*f Expand (-28 - 8*b + 28 + 4*b - 4*b - b + (0*b + 3*b - b)*(-1 + 5 - 2) + b + 2 - 2)*(b + 3*b - 3*b). -4*b**2 Expand -3 - 3*q**2 + 3 + 1 - 5*q**2 - 1 + (-5*q + 0*q + 3*q)*(3*q - 2*q + 0*q). -10*q**2 Expand (2*o + o - 2*o)*(5*o - 6*o - 2*o) + 3*o - o**2 - 3*o. -4*o**2 Expand 2*a**4 + 0*a + 0*a + (-2 + 2 - 2)*(-a**4 + 2*a**2 - 2*a**2) + (-4 + 4 - 2*a)*(-2*a**3 - 3*a**3 + 3*a**3). 8*a**4 Expand (-2 + 2 + 2*g)*(g**3 + 5*g**3 - 4*g**3) + 22*g**4 + 9*g**4 - g**4. 34*g**4 Expand (-6 - 5 - 5)*(-5*h**2 + 5*h**2 - 2*h**2). 32*h**2 Expand (-6*v + 0*v + 5*v)*(-v + 3 - 3)*(-3 + 3 + 1). v**2 Expand -4*p**3 - 3*p**3 + 4*p**3 + (-2*p**2 + 4*p**2 - p**2)*((3*p - p - 3*p)*(-1 - 2 + 1) - p + 2*p - 2*p + 4*p - 3*p + 2*p). p**3 Expand (-1 + 1 + 1)*(5*s - 2*s - s)*(-18 + 18 + 17*s**2). 34*s**3 Expand (-5*y + 5*y - 2*y)*(4*y + y - 3*y) - 2*y**2 - y**2 + y**2 - y**2 - 3 + 3 + 7*y**2 + 2*y - 7*y**2 - 4*y**2. -11*y**2 + 2*y Expand 4*y + 964 - 964 + 0 + 0 + y + (-4 + 4 + 2)*(2*y - 3 + 3) + 0*y + 3*y - y - 2 + y + 2 - 6*y + 2*y + 2*y. 10*y Expand (0 - 1 + 0)*(0*o**4 + 0*o**4 + 3*o**4). -3*o**4 Expand (-r**2 + r**2 - 3*r**3)*(-2*r - 7*r - 17*r) + r**4 - 2*r**3 + 2*r**3. 79*r**4 Expand (1 - 2*a**2 - 1)*(26*a - 26*a + 7*a**2) + 1 - 3*a**4 - 1. -17*a**4 Expand (-2 + 1 + 3 - p)*(44 - 29 - 25). 10*p - 20 Expand (-5*h + 6*h**3 + 5*h)*(-2*h**2 + 5*h**2 - 18*h**2). -90*h**5 Expand (3 + 0 - 1)*(0*f + 0*f - 2*f**2) - f + 2*f**2 + f + (2 - 2 + f)*(2 - 54*f + 105*f - 52*f). -3*f**2 + 2*f Expand ((o + 6 - 6)*(-o + 0*o - o) + (-3 + 4 - 3)*(0*o**2 + 3*o**2 + 0*o**2))*(-2*o**2 + 3*o**2 + 2*o**2). -24*o**4 Expand (0 + 0 + h)*(1 + 2 - 2) - 185 + 24*h + 185. 25*h Expand -2*p**2 + 0*p**2 - 42*p**3 + 40*p**3 + (-4 + 4 - 2*p)*(-3*p**2 + 3*p**2 + 2*p**2). -6*p**3 - 2*p**2 Expand (-3 - 2*p + 3)*(-5*p + 3*p + 0*p) - 12*p**2 - 20*p**2 + 4*p**2. -24*p**2 Expand (x**3 - 3*x**3 - 11*x**3)*(1 - 1 - 2*x). 26*x**4 Expand (-2*k**3 + 2*k**2 - 2*k**2 + (3*k - 2*k**3 - 3*k)*(-2 + 0 + 4) + k**3 - 6*k**3 + 2*k**3)*(-4*k + k + k). 18*k**4 Expand (2*o - 3 - 5*o + o)*(-o**4 + o**4 + o**4). -2*o**5 - 3*o**4 Expand 3*d**5 + d**5 - 2*d**5 - 5*d**5 - d**5 + 5*d**5 + (4 - d**2 - 4)*(0*d**3 - 3*d**3 + 5*d**3) + 12*d**5 - 135 + 135. 11*d**5 Expand h**2 - h**2 + h**2 - 2*h**2 - h**2 + 2*h**2 + (0*h - 4*h + 5*h)*(-3*h + 3*h - 2*h) - 3*h**2 - 2*h**2 + 3*h**2. -4*h**2 Expand (-8 - 1 + 9 - 19*d)*(-4*d**2 + d**2 + 0*d**2). 57*d**3 Expand 2*a**2 - a**2 + 2*a**2 + (-2*a**2 + 4*a**2 - a**2)*(-3 + 6 - 1) - a**2 - 4*a**2 + 4*a**2 - 20*a**2 + 6*a - 6*a. -16*a**2 Expand (-3*c + 6*c - c)*(0 + 4 - 2)*(2*c + c - 2*c)*(2 - 4 + 0). -8*c**2 Expand (-1 + 3 + 4)*(-n**3 + n**3 + 2*n**4). 12*n**4 Expand (y**2 + y**2 - 3*y**2)*(-15*y - 44 + 44). 15*y**3 Expand (k**2 - 2*k**2 - k**2)*(k - 4*k + k) + (3*k + 3*k - 4*k)*(0*k + 2*k**2 + 0*k). 8*k**3 Expand y**2 + 0*y + 0*y + (13 - 13 + 7*y)*(-y - 2*y + 5*y). 15*y**2 Expand (-4*v - 4*v + 6*v)*(0 + 2 + 0) + (-3 - 3 + 7)*(-1 + 1 + 3*v) - 72 + 19*v + 72. 18*v Expand 34*x**4 - 47*x**4 + 32*x**4 - 4*x + 4*x - x**4 - 2*x**4 + x**4 + 3*x**4 + 3*x**2 - 2*x**4 - 3*x**2 + (3*x**3 - 4*x**3 + 0*x**3)*(3*x - x + 0*x). 16*x**4 Expand (29*d**2 + 49*d**2 + 0*d**2)*(d**3 - 3*d**3 + d**3). -78*d**5 Expand (-2 - 3 + 6)*(-d + d + 2*d)*(6*d**2 - 2*d**2 + d**2 + d**2 - 4*d**2 + d**2 + 0*d**2 - d**2 + 0*d**2 + (-4*d - d + 3*d)*(-d + 2*d + d)). -4*d**3 Expand 5*z**5 + 2*z - 2*z + (z**2 + 0*z**2 + 0*z**2)*(6*z**3 + 0*z**3 - 4*z**3) - 3*z**5 - 3*z**5 + 7*z**5 - 4*z**5 + 0*z**5 + 3*z**5 + z**5 + 0 + 0. 8*z**5 Expand (2 - 3 - 1)*(0 + 0 + f) + 59 + 13*f - 58 + 28*f + (-2 + 2 - 2)*(1 - 1 + f). 37*f + 1 Expand ((0 + 0 + 1)*(1 + 5 - 3) + 0 - 1 - 1 + 3 - 2 + 0)*(-2*h + 2 - 2). -4*h Expand (-c - 3*c + 3*c + (4*c + 0*c - 5*c)*(3 + 8 - 1))*(-5 + 4 - 1). 22*c Expand 2*t**2 + 2 + 3*t**4 - 5*t**4 + 0*t**2 + 2*t**4 + 0*t**3 + 0*t**3 + (4 - 4 + 2*t)*(t**3 + 0*t + 0*t). 2*t**4 + 2*t**2 + 2 Expand (3*p - 2*p - 3*p)*(2*p**2 + p - p) + 7*p - 5*p**3 + 3*p**3 + 2*p. -6*p**3 + 9*p Expand (-5 - 5 + 3)*(-1 + 1 + 2*h + (-2*h + 2*h + 2*h)*(0 - 1 + 2) - h + 0*h + 2*h). -35*h Expand (4*b + b - 3*b)*(-1 + 1 - b) + (-b + b - b)*(0*b + 4*b - 3*b) - 4*b**2 - b**2 + 4*b**2. -4*b**2 Expand (-2*y - y**3 + 2*y)*(28*y**2 - 11 + 11). -28*y**5 Expand (0 - 1 - 2)*(-3*j + 0*j + j) + (1 + 3 - 1)*(3*j + j - 3*j). 9*j Expand (2*s**3 + 4*s**3 - 4*s**3)*((0*s + 3*s - 5*s)*(1 + 3 - 2) + 2*s - 3*s + 3*s). -4*s**4 Expand (-7 - 37 - 5)*(g**4 + g - g). -49*g**4 Expand b + 2*b**2 - 1 - 2 + 2 + (4*b + b - 3*b)*(-3*b - 3 + 3). -4*b**2 + b - 1 Expand (-2*d + 4*d - d)*((0*d - d + 0*d)*(d**3 + 0*d**2 + 0*d**2) + (7 + 6*d**2 - 7)*(0*d - d**2 + 0*d)). -7*d**5 Expand (371 - 4*h - 371)*(-h - 2*h + h). 8*h**2 Expand (3*d + d + d)*(2*d**2 + 0 + 0 - 2*d). 10*d**3 - 10*d**2 Expand (0 + 0 - r + 3*r - 4*r - r + (-1 - 1 + 1)*(0*r + 3*r - 2*r))*(10 + 6*r - 10). -24*r**2 Expand (0*l + 3*l - 4*l)*(5 - 5 + 4). -4*l Expand (-3*z**4 + z**4 + z**4)*(z - z + 2*z) + z**3 - z**5 - z**3 + (7*z**2 - 4*z**2 + 2*z**2)*(0*z**3 - z**3 + 0*z**3). -8*z**5 Expand (-62*s**2 + 27*s**2 - 46*s**2)*(4*s + s - 4*s - s + 3 - 3 + s + 3*s - 5*s + (4*s + 2*s - 4*s)*(0 - 3 + 1)). 405*s**3 Expand ((-k + k - 2*k)*(k - k + 2*k) + 0*k**2 - k**2 + 3*k**2 - k**2 + 2 - 2 - 5*k**2 + 2*k**2 + k**2 - k**2 + 0*k**2 + 3*k**2)*(7*k - 5*k + 7*k). -27*k**3 Expand -2*n**5 + n - n + (-2*n**2 - 4*n**2 + 5*n**2)*(-2*n**3 + 2*n**3 + n**3) + 0*n + 0*n - 2*n**5 - 10*n**5 - 6*n**5 - 2*n**5. -23*n**5 Expand (-3*d**2 - 2*d**2 + 3*d**2)*(0 - 4 + 2) + d**2 - 6*d - 2 + 6*d. 5*d**2 - 2 Expand 50*v**4 - 35*v + 35*v + (-3*v**2 + 2*v**2 + 0*v**2)*(0*v**2 + 3*v**2 - 5*v**2). 52*v**4 Expand 3*w**4 - w**4 - 3*w**4 + (2 + w**2 - 2)*(-w**2 + 2*w**2 - 2*w**2). -2*w**4 Expand (-3 + 5 + 0)*(-3*y**3 + 2*y**3 + 0*y**3)*(3*y - 1 - 4*y - y). 4*y**4 + 2*y**3 Expand 4*k**5 + 3*k**5 - 2*k**5 + (-k**2 + k**2 + k**4)*(2*k + k + 0*k). 8*k**5 Expand 1 + 3 + k**5 + 0 + (2*k**3 + 2*k**3 - 3*k**3)*(6*k**2 - 4*k**2 - 3*k**2) - 2*k**5 - k**3 + k**3 - k**5 + 2 - 2. -3*k**5 + 4 Expand (-23 - 5*g + 23)*(-5 + 4 - 1)*(-g + 0*g - 16 + 10). -10*g**2 - 60*g Expand (-5 - 8 + 4 + (-4 + 1 + 2)*(3 + 1 - 2) + 0 + 0 - 1)*(3*w - 5*w - w). 36*w Expand (-j + 4*j - 2*j)*(j**2 - j**2 - 2*j**2) + 116*j**2 - 116*j**2 + 41*j**3. 39*j**3 Expand (4 + 3 - 5)*(-2*j**3 + 0*j**3 - j**3 + (2 - 2 - j**2)*(-3*j + 2*j + 0*j)) + (-4*j**3 + 2*j**3 + 0*j**3)*(4 - 1 - 1). -8*j**3 Expand (46 - 46 - 5*q)*(1 + 1 - 3) + (-3 + 1 + 1)*(-2*q - 3 + 3) + 2*q - 2 + 2. 9*q Expand 2*d**2 + 0*d**2 - d**2 + 0*d**2 - 2*d**2 + 4*d**2 + (-3 - d + 3)*(d + 2 - 2) + (-1 + 3*d + 1)*(0*d + 3*d - d). 8*d**2 Expand 94*t + 5 - 9 - t**2 - 96*t - 3*t**2 - 2*t**2 +
{ "pile_set_name": "DM Mathematics" }
t is -11928649176 minus 0.15? -11928649176.15 Total of 5349292079 and 7.076. 5349292086.076 270294851889 - -2 270294851891 What is -57116927 take away -353? -57116574 151194051594 + -2863 151194048731 What is the difference between 3.2 and 8221059901? 8221059897.8 Calculate 155669479893 - 0.4. 155669479892.6 What is -0.99894 - -14467097? 14467096.00106 -345+-33036346499 -33036346844 Work out -0.506757 + -9089.5. -9090.006757 What is -135 minus 4927167630? -4927167765 Subtract 34 from 1646218300.56. 1646218266.56 Put together 0.1212 and 53.038974. 53.160174 5.2 + 521232453.779 521232458.979 Work out -14607247698 - 7019. -14607254717 Subtract -51730433 from 77.5197. 51730510.5197 What is 34955319 - -54459? 35009778 Total of -2091547895 and 4032. -2091543863 Put together -3619 and -97.09601026. -3716.09601026 Add together -0.2 and 51633376888. 51633376887.8 Add together 6304 and -325213586. -325207282 Put together -0.05 and 354.6674235232. 354.6174235232 What is -6.34575842 + -1191.9? -1198.24575842 Add together -389.9442 and 2189244.9. 2188854.9558 Add 4 and -93351.9313176. -93347.9313176 Work out 131337106941 + -3.7. 131337106937.3 0.0318754903+-0.85 -0.8181245097 Add together -1099.66 and 17.48510867. -1082.17489133 Subtract 62126167043 from -22. -62126167065 What is -20 plus 859300448894? 859300448874 What is -84.9981 - -5067818? 5067733.0019 What is -0.0595286 minus -6208.878? 6208.8184714 What is 0.4 plus 59761073906536? 59761073906536.4 Sum 101 and -22282685426. -22282685325 Sum -3.297 and 21136315155. 21136315151.703 Subtract -1300 from 11331643293. 11331644593 Total of 852859.299 and -34.545. 852824.754 Work out -4 - 5.5887032467579. -9.5887032467579 Calculate -908086 - -245.4763. -907840.5237 4 - 443993700590 -443993700586 What is the difference between -1230977 and -5940.89? 1225036.11 Put together 0.0455 and 2458721223. 2458721223.0455 Subtract 367898515 from -48683. -367947198 Work out 1549 - -226533871223. 226533872772 Total of 1894537435143 and -443. 1894537434700 -429.3541+0.0460158 -429.3080842 Work out 235210141656 - -0.2. 235210141656.2 What is -1642449300 take away -1929.2? -1642447370.8 What is -0.3 take away -3247108036164? 3247108036163.7 Put together 0.07 and 7.1660014004. 7.2360014004 Add 0.1791 and -4.883387. -4.704287 Sum -49351250219 and 2592. -49351247627 What is the distance between 0.116047 and 2205957? 2205956.883953 5915+1725064.588 1730979.588 Work out -643.64288637 - -0.05. -643.59288637 What is 0.5 take away 2280614129? -2280614128.5 Put together -2479.9 and -12914779195. -12914781674.9 Work out -590293944576 + -1. -590293944577 Add together -203532 and -27.1087. -203559.1087 What is -2.5242209 - -37.75824? 35.2340191 What is the distance between 24459546.816 and -302? 24459848.816 What is 10745.2 less than 16287311? 16276565.8 What is 813040702000 - -0.144? 813040702000.144 What is -181988549 take away -0.0229? -181988548.9771 What is -279.992 plus 2.5650977? -277.4269023 What is 3 plus 399989903532? 399989903535 1553.9+-329510.44317 -327956.54317 Sum 23354566 and -11. 23354555 What is -541.1277746 - -10.3? -530.8277746 Calculate -1053486825 + 3528. -1053483297 Subtract 8519873 from 49653. -8470220 What is -1518982342 minus -14414.6? -1518967927.4 Subtract 0.0323854 from -43.6044. -43.6367854 Subtract 2370.47385 from 5.86. -2364.61385 Work out -1230294115 + 4.53. -1230294110.47 What is -752 take away -0.826969367? -751.173030633 Calculate 1942.5 - 1312077. -1310134.5 2018461.6712 - -3.1 2018464.7712 -243516 - 5525528.4 -5769044.4 What is 13710617129 less than -0.01777? -13710617129.01777 What is 1103153211.6 minus 2? 1103153209.6 Work out 1503699335 + 305. 1503699640 7214296+284734 7499030 Put together 2810407.749 and 73946. 2884353.749 Calculate -1944675846 + 613. -1944675233 118156446298 - 1 118156446297 Put together 0.0124244 and -78370.03. -78370.0175756 What is -24675919 - 31411699? -56087618 What is 284786 - 192909? 91877 What is 0.0252 + -21603052318? -21603052317.9748 What is 0.00022 - 39278.87? -39278.86978 What is -5165005741.856 + 5? -5165005736.856 What is 80250080 + 7179? 80257259 What is -236419421251 - -18? -236419421233 Subtract 3763766 from -80581. -3844347 -43934589 - 201543 -44136132 What is -132 minus -123476008.7? 123475876.7 What is -715420 take away 423492? -1138912 What is 12.5257571594 less than -0.5? -13.0257571594 Add 0.195344645651 and -0.22. -0.024655354349 -7 - 30450070737 -30450070744 Calculate -3428557 - 491.81297. -3429048.81297 What is 1036931236 - -695? 1036931931 What is -5141 minus -24909.26212? 19768.26212 What is 2948774120 plus 2.2? 2948774122.2 Subtract 26005 from -16210109. -16236114 Put together -7.20858687014 and 93. 85.79141312986 Subtract 55225581 from -4840. -55230421 584384 + 3.2767652 584387.2767652 Work out 7 - 10.93731645735. -3.93731645735 What is the difference between -29162579731 and -0.1? 29162579730.9 Put together -88480.2576152 and 0.02. -88480.2376152 What is 0.26 less than 104904523774? 104904523773.74 What is 142779 + 7263902? 7406681 2506 + 20698.28642 23204.28642 What is -1254094 take away 0.8795915? -1254094.8795915 What is 0.5 minus -85189612509252? 85189612509252.5 Work out -1106966 - -169820. -937146 0.5 - -15219685148089.2 15219685148089.7 What is 831306879265 less than 0.5? -831306879264.5 Calculate -7526631.403 - -0.0601. -7526631.3429 Calculate -23.2 - 8057078370. -8057078393.2 Subtract 9 from -627886971595. -627886971604 What is 0.1477738136641 - 105? -104.8522261863359 What is the difference between -124966379262442 and -3? 124966379262439 Total of -1622538894 and 54. -1622538840 -4.1892689873 + -0.07 -4.2592689873 Calculate 0.52606 + -0.0786426. 0.4474174 Put together 3119105410 and 494. 3119105904 Add together 2.5993512919 and -0.4. 2.1993512919 Work out 5656004135.155 - -0.4. 5656004135.555 What is -119971 + 12671178? 12551207 Add -0.263008793 and -635. -635.263008793 0.1253 - 703726.783 -703726.6577 Add together -64 and -618640719909. -618640719973 Total of 31067516 and 0.01881. 31067516.01881 -87498 - -2826473 2738975 Add together -6989187.92 and 97.61. -6989090.31 Put together -0.16 and 96097172953. 96097172952.84 Add together 2192728666.82 and -15. 2192728651.82 Calculate -4 + -873841284734. -873841284738 Calculate 6386215563 + -35. 6386215528 Add 862.08639 and 0.24276. 862.32915 What is the difference between 0.02172 and 292218493? 292218492.97828 0+-0.064276373334 -0.064276373334 What is 19 - -15343.193957? 15362.193957 What is -575667.363034 - -3? -575664.363034 What is -1069.31917475 minus 0.5? -1069.81917475 Calculate 607551 + 15538100. 16145651 Work out 979552.3 + 0.0263379. 979552.3263379 Add together 22727.151 and -423649. -400921.849 Calculate 21.5113 - 419850. -419828.4887 What is 107549684444 take away -0.504? 107549684444.504 What is the difference between 1.407 and 890774765? 890774763.593 Add together -482777.878775 and -1.5. -482779.378775 Subtract 3621961792.5 from 0.177. -3621961792.323 What is -1.065 plus 503.574018208? 502.509018208 What is 3196.5 - -41446870? 41450066.5 Calculate -0.76 + -9857079974. -9857079974.76 Sum 0.08 and -14685148691. -14685148690.92 -105.604248209+-0.2 -105.804248209 What is the difference between -10395564 and -4487080? 5908484 -51598982025 + 6 -51598982019 What is the difference between 0.144 and -2027851481014? 2027851481014.144 What is 1069.30768021 minus 1608? -538.69231979 What is 0.01 less than -61405968529? -61405968529.01 What is -59853368060615 + -0.06? -59853368060615.06 What is 44371778086910 take away 0? 44371778086910 1580512.22+-2961 1577551.22 161325080829 - -0.3 161325080829.3 What is -36700725261 - -495? -36700724766 What is -343568141729356 plus 3? -343568141729353 What is 9.271 - 994112554? -994112544.729 What is the distance between -254.576 and -4.09889126? 250.47710874 0.4 - 4451741.0065 -4451740.6065 What is -0.02 less than -677544932.6128? -677544932.5928 What is -0.386340357286 + -0.3? -0.686340357286 Put together -4 and 393211412.24137. 393211408.24137 Total of 5338965 and 3.954531. 5338968.954531 Subtract 6.723 from 279993.44061. 279986.71761 Work out 26174 + 0.05384335. 26174.05384335 Work out -52767894807 + 83. -52767894724 Work out -0.0258 - -5209824.4
{ "pile_set_name": "DM Mathematics" }
+ g. Round a to three decimal places. 0.019 Let j = -19 + 19. Suppose -2*z - c + 119 = -0*c, 5*z - 5*c - 305 = j. Suppose 0*r + 4*r = z. Round r to the nearest integer. 15 Let g = 0.0507549 + -8.2711659. Let r = g - -8.22. Round r to five decimal places. -0.00041 Let k = 326.43 + -3.43. Let h = 323.494 - k. What is h rounded to one dp? 0.5 Let z = 14790.99986919 + -14791. What is z rounded to six decimal places? -0.000131 Let u(i) = -601*i + 13. Let j(a) = 12*a**2 + a + 2. Let y be j(-1). Let n be u(y). Round n to the nearest 1000. -8000 Let w = -93136690.300207 + 93136648. Let j = -42.3 - w. What is j rounded to 5 decimal places? 0.00021 Let d = 24 - 22. Suppose d*h - 54 = 8*h. Round h to the nearest 10. -10 Let k = -1.8 + 1.852. Let f = 267.9572 - 268. Let o = k + f. What is o rounded to three decimal places? 0.009 Let t = 797.999461 - 798. What is t rounded to five dps? -0.00054 Let d = -5.17999653 + 5.18. Round d to seven decimal places. 0.0000035 Let c(h) = 973*h**2 + 38*h + 15. Let m be c(15). Suppose 2*u - 7*u = -5*o - m, -131704 = 3*o - 2*u. What is o rounded to the nearest one thousand? -44000 Let c = -6165 + 11965. Round c to the nearest one thousand. 6000 Let l be (5 - 3)*(-85)/5. Let w = 36 + l. Suppose w*o = 134077 + 7923. Round o to the nearest 10000. 70000 Let b = -0.073 + -0.004. Let p = 0.037 - b. Round p to two dps. 0.11 Let a = 0.0235 - 0.023146. Round a to 4 dps. 0.0004 Let z be 2334/(-3) + (-2 - 0). Round z to the nearest 100. -800 Let g = 527707369.000197 - 527707112. Let h = 257 - g. What is h rounded to 4 dps? -0.0002 Let d = 0.0645 - 0.065238. Round d to five decimal places. -0.00074 Let i = -5.4 + 4.46. Let q = i - -0.55. What is q rounded to 2 dps? -0.39 Let j(z) = 12*z + 31. Let n be j(-8). What is n rounded to the nearest 100? -100 Let i = -9 + 9. Suppose i = -0*w - 2*w + m - 16200002, 3*m - 32400006 = 4*w. What is w rounded to the nearest one million? -8000000 Let t = -1126 + 1087.35. Let x = t + 40. What is x rounded to 1 dp? 1.4 Let b be (4/5)/(6/15). Suppose -5*n + 126750029 = -b*m, 0 = 2*n - 3*m - 36864739 - 13835277. Let s be n/15 + (-1)/3. Round s to the nearest 100000. 1700000 Let f = -12.115 + 16.37. Round f to zero dps. 4 Let x = -300.7 + 297.751. What is x rounded to 1 dp? -2.9 Suppose 6 + 2 = 4*i. Let u(b) = -4 + 24 + 45*b**i + 112*b**2 - b + 10*b. Let g be u(20). Round g to the nearest 10000. 60000 Let b = -222 - -221.99695. Round b to 3 dps. -0.003 Suppose -5*v + 13 = 4*p - 40, 3*v + 20 = 5*p. Let q(z) = z**2 - 22*z**2 - 1 + z - 6 - 79*z**2. Let i be q(p). Round i to the nearest 1000. -5000 Let w = -32625.0804 + 32636. Let z = w - 10.9. What is z rounded to three dps? 0.02 Let b = 1751.428 - 1756. Round b to the nearest integer. -5 Suppose 0 = -5*m + 10, 0 = -2*v + 3*v - 5*m - 151990. Suppose -n + 3*n = -v. What is n rounded to the nearest ten thousand? -80000 Suppose -3*p = 2*p - 1235. Suppose 0 = 2*a - p - 6553. What is a rounded to the nearest one thousand? 3000 Let a(x) = -x**3 - 16*x**2 - 24*x - 9. Let o be a(-16). Let b = -533 + o. Round b to the nearest one hundred. -200 Let y = 1320.9777 + 0.0223. Let c = -1322.299 + y. Let b = -1.3 - c. What is b rounded to 3 dps? -0.001 Let b = 1105 - 1105.00001179. Round b to six dps. -0.000012 Let k = -9.6 - -9.95. Let s = -0.9 - k. Round s to one dp. -1.3 Let m = -6981 + 6929.39. What is m rounded to the nearest integer? -52 Let v = 1538.75 - 2177. Let f = v + 663.54861. Let h = -25.3 + f. Round h to 4 decimal places. -0.0014 Let n be -4*5/((-10)/(-8)). Let i be 4/n - 243/(-12). Let r be (-13120002)/(-8) - 5/i. Round r to the nearest one hundred thousand. 1600000 Let c(l) = l**3 + l**2 + l + 1. Let r(m) = -726*m**3 + 14*m**2 + 10*m + 12. Let n(k) = 12*c(k) - r(k). Let t be n(2). What is t rounded to the nearest 1000? 6000 Let l(s) be the first derivative of -s**4/4 - 2*s**3 - s**2/2 - 7*s + 1. Let y(k) = k - 5. Let o be y(-1). Let w be l(o). What is w rounded to 1 decimal place? -1 Suppose -6 = -n - 3. Suppose -9 = -3*q + n. Suppose -122 = 2*d - q*d. Round d to the nearest 10. 60 Let s = -42.8 - -42.7991. Round s to 5 decimal places. -0.0009 Let y = 1533.623 - 1536. Let u = -0.197 - y. Round u to one decimal place. 2.2 Let n = -870650 + 1484750. Round n to the nearest 10000. 610000 Let n = 3662 - 5802. Round n to the nearest 100. -2100 Let b = 0.064 + -0.03463. What is b rounded to 2 dps? 0.03 Let s = 0.3 - 34.3. Let d = s + 33.9999961. What is d rounded to six decimal places? -0.000004 Let l(w) = -w**2 + 5*w - 4. Let i be l(3). Let h(p) = -233*p**3 - 23*p - 116*p**3 + 21*p - p**2. Let x be h(i). What is x rounded to the nearest 1000? -3000 Let h = 11.6476 - 11.7. What is h rounded to 2 decimal places? -0.05 Let f = -1737.36 - -1759. Round f to the nearest ten. 20 Let f = 0.699 + -0.69897461. Round f to 6 decimal places. 0.000025 Let z = 1.6885 + -1.676. Round z to 2 decimal places. 0.01 Let i = -1931798916.00000048 - -1931798774. Let s = i - -142. Round s to 7 dps. -0.0000005 Let y = -244930 + 168430. What is y rounded to the nearest ten thousand? -80000 Let a = -1.92 + 95.92. Let y = 116.9 - a. Round y to the nearest integer. 23 Let n = -0.487 + 3.889. Round n to one decimal place. 3.4 Let t = 61 - 38. Let z = t + -18. Suppose q + 4*n = -3*q + 600, z*n = 10. Round q to the nearest ten. 150 Let y be -61*(9 + -250017 + 8). Round y to the nearest one million. 15000000 Let s = -25 - -32.5. Let p = -6 + s. Let r = -1.499955 + p. Round r to five dps. 0.00005 Let v = -306 + 306.2045. Let a = -0.01 + -0.19. Let g = a + v. Round g to three decimal places. 0.005 Let l be (-11)/((-825)/(-60)) + (-3181996)/5. What is l rounded to the nearest one hundred thousand? -600000 Let b = 0.392 - 0.4. Round b to one dp. 0 Let p = 225.54 + -225. What is p rounded to one dp? 0.5 Let z = -129.3 - 27.7. Let c = 156.99999713 + z. Round c to seven dps. -0.0000029 Let o = 8 - 7. Let b(a) = 32*a**3 - 2*a**2 + 1. Let q be b(o). Round q to the nearest ten. 30 Suppose -7662 = 3*f - 3*r, 0 = 3*r - 12 + 27. Let y = 7870 - f. Let u = 4429 - y. Round u to the nearest 10000. -10000 Let k = 0.6558 + 260.8742. Let o = -261.25018 + k. Let v = -0.28 + o. Round v to four dps. -0.0002 Let t = -11500 - -29500. Suppose -2*c - 3*n + 36000 = -n, c = -3*n + t. Round c to the nearest ten thousand. 20000 Let b = -5423 + 3213. Round b to the nearest 100. -2200 Let x = 324.5692 + 0.5308. What is x rounded to the nearest one hundred? 300 Let s = -5506388 + 12686388. Round s to the nearest one million. 7000000 Let b = 2303464.48 + -2222124. Let l = b - 81359.479955. Let j = -19 - l. What is j rounded to 5 decimal places? -0.00005 Suppose 265*w - 268*w - 2766000 = 0. Round w to the nearest one hundred thousand. -900000 Let f = 3.8899461 - 3.89. Round f to 4 decimal places. -0.0001 Suppose 5*f - 27 = 18. Let m be -1702*(f/3 - -46). Let p be m/(-6) + 6/18. What is p rounded to the nearest one thousand? 14000 Let w = 25 - 24.3. Let o = -48 - -46.65. Let x = o + w. Round x to one dp. -0.7 Suppose 9*f - 1696000 = 11*f. What is f rounded to the nearest 100000? -800000 Let t = 253.0064 - 253. What is t rounded to 1 decimal place? 0 Let v = 1583352 + -1583285.02952. Let i = 22.02522 + v. Let o = -89 + i. Round o to three decimal places. -0.004 Let v = 13769 + -14599.3. What is v rounded to the nearest 10? -830 Let p = -1362 - -1362.5444. Round p to 1 decimal place. 0.5 Let g = 191354.00364 - 191249. Let f = g - 105. What is f rounded to 4 dps? 0.0036 Let m = -1082029247393718.80000083 + 1082029242126764. Let q = m + 5266953.3. Let v = -1.5 - q. Round v to seven dps. 0.0000008 Let v = -6.8 - 2.4. Let u = -17.5 - v. What is u rounded to zero dps? -8 Let d(f) = 112180*f**2 + 3. Let k be d(-2). Let b = k + -169723. Round b to the nearest 10000. 280000 Let s(j) = 2*j + 12. Let c be s(-6). Suppose h - 4*t = -c - 4, -t = -4*h + 14. Suppose -h*a - a = 0, -5*o - 1500 = 3*a. Round o to the nearest one hundred. -300 Let o = -2.8 - 0.3. Let p = -3.10000075 - o. Round p to 7 decimal places. -0.0000008 Let r = 106.26 - 109. Round r to 1 dp. -2.7 Let k = -0.171261 + 0.1696. What is k rounded to 5 decimal places? -0.00166 Let b = 10.24 - 16. Let h = b - -0.26. What is h rounded to the nearest integer? -6 Let v = -2162405 - -21
{ "pile_set_name": "DM Mathematics" }
False Let f = 394 + 784. Is f a multiple of 9? False Does 21 divide (36*2/(-10))/(60/(-1400))? True Let v(h) = 7*h**2 + h**3 + 4*h - 13*h - 10 + 6. Let u(q) = 8*q**3 + 2*q**2 + 2*q + 1. Let i be u(-1). Is v(i) a multiple of 20? False Suppose 0 = 11*c - 8*c - 16911. Does 12 divide c? False Suppose 4*n + 45 = 3*r, n + 2*r - 46 = 5*n. Let k = 14 + n. Suppose -4*t + 0*m + 3*m = -24, 5*t - k*m = 30. Is t a multiple of 6? True Suppose 0 = 4*m, -5*m - 1010 = -3*t - 20. Suppose 0 = 4*f + 90 - t. Is f a multiple of 15? True Suppose n = -n - 2. Let h be (4 + 6)*1*3. Is ((-10)/4)/(n/h) a multiple of 15? True Suppose -6*h = 18 + 114. Does 10 divide (-2 - -1)*(h + -1)? False Is 18/24 - 754/(-8) a multiple of 25? False Suppose 0 = -4*a + 378 + 138. Let h = -69 + a. Is 22 a factor of h? False Let w(y) = -2*y**2 - 40*y + 2. Let g be w(-20). Suppose 4*s - 20 = 0, -g*b + 2*s - 93 + 411 = 0. Is 41 a factor of b? True Suppose -918 + 2154 = 3*f. Is f a multiple of 25? False Suppose 91 - 103 = -4*r. Suppose -2*b = r*b - 3*q - 295, 0 = 3*q + 15. Does 4 divide b? True Let g = -6 + 9. Let n be 176/24 - (2 - (-16)/(-6)). Let v = n + g. Is 11 a factor of v? True Let f be (126/(-35))/((-12)/200). Let t = 77 - f. Is 6 a factor of t? False Suppose -5*n - 9 = -2*b, -2*n = -4 - 2. Let y = b + -10. Does 11 divide (-26 + 4)*y/(-4)? True Suppose 5*s + 3 = q, -s + 4*s = -2*q + 6. Suppose 3*z = x - 21, s*x - 4*z - 105 = -5*x. Is x even? False Suppose -3*d + 1127 = 2*d + 2*s, -4*s - 470 = -2*d. Suppose 0*n + d = 2*x - 3*n, -2*x = n - 223. Does 27 divide x? False Suppose -n - 613 = -3*v, 31*n = -2*v + 26*n + 403. Does 9 divide v? False Does 5 divide 8/60 - 23840/(-75)? False Let x(u) be the third derivative of -7*u**4/24 - 8*u**3/3 - 4*u**2 - 3. Is x(-10) a multiple of 27? True Let o = 1013 + -602. Is 17 a factor of o? False Let k = -374 - -485. Does 37 divide k? True Let j(q) = -8*q**3 + q**2 + 3*q - 2. Let f(s) = -2*s - 6. Let x be f(-4). Let d be j(x). Let n = -21 - d. Is 12 a factor of n? False Suppose 0 = -2*m + m - 1, 4*j - 4*m + 48 = 0. Let c = -11 - j. Suppose 0 = 3*l - c - 19. Does 2 divide l? False Let r(i) = 118*i**2 + 5*i + 1. Does 57 divide r(-1)? True Let t(b) = 34*b - 52. Is 6 a factor of t(8)? False Let a be 168/(-14) - (1 + 3). Does 20 divide a/3*1296/(-64)? False Suppose -2*t - 2*q = -633 - 47, -2*q = 0. Does 5 divide t? True Suppose -4*y + 13 = 5*h, h - 2*h - 2*y - 1 = 0. Suppose c = 2*o + 8, 29 = 3*c - 4*o - h. Is c a multiple of 3? True Let n(f) be the first derivative of f**2 + 11*f + 5. Let u be n(-5). Is 15 a factor of u/3 - (-293)/3? False Is ((-288)/40)/(3 + (-47)/15) a multiple of 3? True Let k be (-95)/3 + (-1)/3. Let u = 37 + k. Is u a multiple of 5? True Suppose 5*a - q - 400 - 1043 = 0, -2*a + q = -579. Is 36 a factor of a? True Let h(s) = 6*s**2 - 10 + 27*s + 2 - 30*s. Is 25 a factor of h(-4)? True Let m(u) = 2*u**3 - 3*u**2 + 3*u + 1. Let p be m(2). Suppose -3*c + 27 = -a, -a - c - p = -0*c. Does 5 divide (-2 + a)/((-3)/6)? False Let n(l) be the second derivative of -l**5/20 - l**4/2 - 2*l**3/3 - 3*l**2 - 2*l. Let c be n(-6). Suppose 2*p + 6 - c = 0. Is 4 a factor of p? False Suppose -3*l - 5*z = -353, -10*l + 14*l - 4*z = 428. Is 2 a factor of l? False Let s be 1 - (7 - -2 - 0). Let g be s*(0 + 4)/(-16). Is 14 a factor of (g + 4)*24/6? False Let o(j) = 3*j**2 + 7*j + 3. Let w be o(-8). Suppose m = 4*s - w, -3*s + 89 = 2*m - 7. Is 8 a factor of s? False Let q(r) = r**3 - 38*r**2 + 70*r + 121. Does 22 divide q(37)? True Let v(m) = m**3 - 6*m**2 + 3*m - 7. Let y(w) = w**3 - 6*w**2 + 4*w - 7. Let u be 3/((-6)/(-16)*-2). Let r(s) = u*v(s) + 5*y(s). Is 5 a factor of r(5)? False Let f = -133 - -358. Is 15 a factor of f? True Let n be 4*(-2)/(-8)*-2. Let v(k) = -7*k - 11. Is v(n) a multiple of 2? False Let p = -91 + 70. Suppose -4*k - 3 = -2*g - 1, -3*k = -4*g + 4. Is g + (0 - p) - 1 a multiple of 7? True Let k(a) be the third derivative of 11*a**4/12 + a**3/6 + a**2. Let z = 12 - 10. Does 9 divide k(z)? True Suppose 0 = 7*y - 18*y - 110. Is 1*15 - (-30)/y a multiple of 4? True Let y = 563 - 156. Is y a multiple of 8? False Let j = -184 + 472. Is j a multiple of 48? True Let j(o) = 4*o**2 - 10*o - 8. Let y be j(-7). Suppose -25 = 3*q + 5*i - y, 4 = i. Is q a multiple of 17? False Let g = -118 - -79. Let h = g + 75. Suppose -4*v - 34 = -w, -w + 3*v = 2 - h. Is w a multiple of 15? False Let x(z) = 2*z**2 - 28*z + 63. Does 5 divide x(15)? False Let u(w) = 80*w**2 + 9*w - 13. Is u(2) a multiple of 13? True Suppose -2*o = -3*o - p + 1, -5*p - 23 = -2*o. Suppose -o*r = 3*r - 1071. Is r a multiple of 17? True Let h(s) = 2*s**2 + 5*s - 3. Let p be h(4). Let r be (14/2)/(12/9 - 1). Suppose -l = -p + r. Is 14 a factor of l? True Suppose 5*n = -v + 16, -5*v + v - 20 = -n. Suppose n*k = 12*k - 240. Does 6 divide k? True Suppose 1 = 5*q - 39. Suppose q*w = 13*w - 860. Suppose 5*l - l = w. Does 10 divide l? False Suppose -6*z = -18 + 6. Suppose 21 = y + z. Does 11 divide y? False Suppose -4*w = -0*w + 20, 4*w = 5*p + 10. Let f be 0*(-2)/p - -25. Is (30/f)/(2/70) a multiple of 14? True Is 172360/186*6/4 a multiple of 103? False Let t(g) = 8*g + 3. Let w be -1 - -5 - (-50)/10. Let s(q) = 16*q + 7. Let b(n) = w*t(n) - 4*s(n). Is b(5) a multiple of 15? False Is (1 - 2)*-70*(-437)/(-46) a multiple of 35? True Suppose 5*t - o = -385 - 373, -4*t = 5*o + 589. Let j = 29 - t. Does 4 divide (1/(-1))/((-12)/j)? False Let g(q) = 315 - 7*q - 630 + 28*q**2 + 0*q + 330. Is 13 a factor of g(2)? False Let i(m) = 2*m**3 + 16*m**2 + 5*m + 13. Let k be i(-7). Is 5 a factor of -1*(2 + k)*1/(-2)? False Suppose -r - 3*r = -240. Suppose -38 = 3*p + 5*h - 2, 5*h + r = -5*p. Let s(u) = -u**2 - 17*u - 9. Does 17 divide s(p)? True Suppose 2*n - 4*i - 695 = n, 3*n - 2*i - 2135 = 0. Suppose 3*b + 2*b - 5*k - n = 0, -b = k - 153. Is 37 a factor of b? True Let o be (9/(-6))/(5/(-10)*1). Let a(v) = 4*v - 4*v + 6*v. Does 6 divide a(o)? True Let r = -11 + 10. Let t = r - -100. Suppose -4*w + t = -w. Does 10 divide w? False Suppose -o - 4*o - 5*h = 165, 3*h - 66 = 2*o. Is 3 a factor of (-12)/66 - 996/o? True Let u = -21 - -12. Let g be (12/u)/((-2)/(-24)). Let z = g - -22. Does 6 divide z? True Let f be 1 + 0 + (-1 - -1). Suppose 5*g - b - 100 = 0, b - 100 = -6*g + g. Let d = g + f. Is d a multiple of 8? False Suppose 0 = 4*h - 6*h - 4. Is 26 a factor of h/6 - (-626)/6? True Suppose -4 = n - 3*x + 6, -3*n - 8 = 2*x. Let r(b) = -17*b**2 - b - 4. Let m(o) = 34*o**2 + 2*o + 9. Let d(u) = n*m(u) - 9*r(u). Is d(1) a multiple of 18? True Suppose -2*h + 6*h + 5*g = -145, 2*h + 4*g + 80 = 0. Let b = 111 + h. Suppose 42 + 95 = 5*z + 3*m, 3*z = -3*m + b. Is z a multiple of 18? False Let z(v) = -v**2 - 14*v - 23. Let c be z(-12). Let u be 4 - (1 + -1)*c. Suppose 9*o - 270 = u*o. Does 23 divide o? False Let n = 69 + -77. Let l(d) = -2*d**2 - 21*d + 5. Is l(n) a multiple of 15? True Suppose 2*d + 16 = 5*p, 5*p - 7 = -0*p - d. Suppose 0 = i - 5*u + 9, -35 = -2*i - p*u - 5. Is 3 a factor of i? False Let d(r) = -28*r + 13. Is 11 a factor of d(-3)? False Suppose -2*p - 6527 = -3*d, -1948 + 10666 = 4*d + 5*p. Is 36 a factor of d? False Let a(d) = -d**3 + 10*d**2 - d + 7. Let r be a(10). Is 948/(-24)*(r + 1) a multiple of 35? False Let b = 6 - -21. Is b a multiple of 9? True Let z = -15 + 17. Let y = 0 - z. Is 4 a factor of ((-8)/(-12))/(y/(-45))? False Let s = -258 + 303. Does 10 divide s? False Let m(o) = o**3 - 5*o**2 + 2*o - 10. Let k be m(5). Suppose x + v - 18 = k, 3*v + 6 = -3. Does 13 divide 2/6 + 1904/x? True Let r = 12 + -13. Let g be (-3 + (-2 - -2))*r. Suppose 54 = -2*l + g*l. Does 27 divide l? True Let b(t) = -t**3 + 33*t**2 + 22*t + 72. Is 48 a factor of b(18)? True Suppose -23*x - 20 = -28*x. Suppose -x*h + 432 = -0*h. Is 27 a factor of h? True Suppose 0 = 7*k - 5*k + 4*s - 1356, 2*k - 1396 = 4*s. Is k a multiple of 83? False Let s(f) = f - 1. Let p be s(-3). Let x be (-1 + -4)*(-5 - p). Is (255/25)/(1/x) a multiple of 17? True Suppose 344*g = 342*g + 524. Is 10 a factor of g? False Let c = -2902 - -6178. Does 12 divide c? True Suppose -5*w + 1652 = -t - 1814, -t - 694 = -w. Does 20 divide w? False Is (-3)/18 - (-29768)/48 a multiple of 41? False Suppose 0 = 9*i - 3*i - 2190. Let d = -155 + i. Is d a mul
{ "pile_set_name": "DM Mathematics" }
. Suppose -3*w + 19 + b = 0. Is w a multiple of 17? True Suppose 0 = -10*y + 2*y + 1512. Is 21 a factor of y? True Is 18 a factor of (-1278)/(6 + -7)*(-1 + 2)? True Suppose 0 = d - 19 + 8. Suppose 3*z + 2*z = -4*h + 56, -z - h = -d. Suppose 13 = 13*u - z*u. Is 8 a factor of u? False Suppose -12 = -4*k + 24. Suppose 12 = -4*d, 5*d = 4*m + 2*d - k. Suppose m = 2*l + 2 - 26. Does 2 divide l? True Let p(m) = 496*m - 43. Is 3 a factor of p(1)? True Suppose 77*j - 1310 = 67*j. Does 43 divide j? False Let l(v) = v**3 - 21*v**2 - 22*v + 36. Is l(22) a multiple of 6? True Suppose 0 = 2*u - 7*u. Suppose 5*i + 260 = -u*i. Is -1 - -1 - (i + -2) a multiple of 27? True Let s(h) = h + 1. Let a(l) = l**3 + 5*l**2 - 4*l + 1. Let y(w) = -a(w) - 6*s(w). Let t be y(-5). Let j = 37 - t. Is j a multiple of 13? False Let i(u) = 5*u + 25. Let r be i(-5). Suppose w - 1078 = -5*n, r = -n - 0*w + 4*w + 203. Does 13 divide n? False Suppose -30*v - 5*v = -12285. Is 9 a factor of v? True Let b(j) = 2*j**3 + 8*j**2 + 8*j. Let i(n) = -n**3 - 3*n**2 - 3*n. Let d(c) = -3*b(c) - 8*i(c). Let s be d(2). Let a = 43 + s. Is 23 a factor of a? False Suppose -59*j = -72*j + 21983. Is 15 a factor of j? False Suppose -t + 14 = -m, 5*t = 5 + 5. Let z = m + 47. Is 7 a factor of z? True Let s(p) = 146*p**2 + 10*p + 11. Is 24 a factor of s(-3)? False Let r = -26 + 31. Suppose 4*l - s - 704 = -r*s, -5*l - s = -872. Let d = l - 109. Is 13 a factor of d? True Let c(d) = 11*d**2 - 7*d - 6. Is c(7) a multiple of 11? True Let d be 6/4 + 1/(-2). Let w(i) = 46*i**2 + 1. Let s be w(d). Let h = 81 - s. Is h a multiple of 17? True Let x = 5 + 142. Let c = x - 93. Is 18 a factor of c? True Let t = -4861 - -10368. Does 100 divide t? False Let v = 70 + -68. Suppose -v*j - 176 = -4*j. Does 8 divide j? True Let w(t) = -3*t + 9. Suppose u = -5*r + 29 + 8, 2*u - 3*r = 9. Let x be w(u). Let k = 18 - x. Does 15 divide k? True Let h(c) be the first derivative of 3*c + 1/3*c**3 + c**2 + 4. Does 11 divide h(7)? True Let o = 57 + 141. Does 13 divide o? False Suppose -3*f = 3, 5*f + 7 + 89 = p. Is 6 a factor of p? False Let c(v) = v**3 - v + 3. Let w(s) = 4*s**3 + s**2 - 5*s + 12. Let h(m) = 9*c(m) - 2*w(m). Is h(4) a multiple of 8? False Let f(o) = 169*o**2 - 3*o + 2. Let p be 1 - (-18)/(-15) - (-6)/5. Is f(p) a multiple of 28? True Let f(g) = 17*g - 32. Let j be f(-4). Let t = 174 + j. Does 13 divide t? False Let q(m) = 40*m**2 + m. Let o be q(1). Let s be 672/(-35) - 8/10. Let z = o - s. Does 16 divide z? False Suppose -g - 4*h - 9 - 2 = 0, 4*g - 40 = 5*h. Suppose g*x - 484 = -169. Is x a multiple of 9? True Let h be -2 + 1120/5 - -2. Is 10 a factor of 1 + 3 + h/4? True Let f = 13 + -9. Suppose -k - 5*y + 5 = 4*k, y = f*k + 1. Suppose -p = -k - 4. Does 4 divide p? True Suppose 5*y - y + 483 = j, 0 = 2*j - y - 980. Suppose 0 = -3*b + o - 3*o + 370, 4*b - j = -5*o. Is b a multiple of 10? False Suppose 2*k = -0*k + 4. Suppose m + 2*m + k*s = 16, -5*m + 3*s = 5. Suppose -6*p + 2*p = -3*d - 116, -m*p - d = -68. Is p a multiple of 10? False Let l(z) = 12*z**3 - z**2 - 7*z + 21. Is l(6) a multiple of 13? True Is 13 a factor of (-6)/(-27) + (9482/18)/1? False Let z = 124 + -109. Is z a multiple of 15? True Suppose -96 = 2*t - 278. Let k = 247 - t. Suppose -k + 408 = 6*b. Does 9 divide b? False Let k(b) = -1. Let f(s) = s + 1. Let o(u) = -6*f(u) - 13*k(u). Let x = 0 + -7. Does 13 divide o(x)? False Suppose 3*z - 16 - 8 = 0. Suppose 7*g - 5*k + 44 = z*g, 4*g + 2*k - 212 = 0. Is g a multiple of 27? True Suppose -25*d + 22222 - 1097 = 0. Does 13 divide d? True Suppose -7852 = -4*k - 3*n, 3*k - 2*n - 2393 - 3496 = 0. Does 13 divide k? True Suppose 5*x = 7 + 8. Suppose -547 - 29 = -x*w. Is 12 a factor of w? True Let w(h) = -8*h**2 + 5*h - 4. Let j(d) = 7*d**2 - 5*d + 3. Let b(z) = -6*j(z) - 5*w(z). Let t be b(-3). Let x = t - -53. Is x a multiple of 8? False Suppose u + 0*u - 340 = 0. Does 28 divide u? False Let a(d) = -d**3 - 17*d**2 + 18*d + 2. Let r be a(-18). Let f(v) = 14*v**3 + v**2 + 3*v - 5. Does 39 divide f(r)? True Suppose 175*t - 190*t = -5340. Does 14 divide t? False Let x = 4472 + -2238. Is 14 a factor of x? False Let q = 12 - 2. Suppose 84 = q*h - 6*h. Is h a multiple of 12? False Suppose -n + 2 = 2*p, 3*n - 5*p + 33 = 2*n. Is n - -5 - -14*6 a multiple of 27? True Suppose -z = -2*u + 12, 4*z - 13 + 1 = -4*u. Suppose 0 = -u*d + 81 + 4. Does 10 divide d? False Suppose -m + 3*m - 2*b - 10 = 0, -4*m + b = -17. Is 8 a factor of m/6 + ((-1840)/6)/(-5)? False Let r(k) = -3*k + 20. Let c be r(6). Suppose -2*m = -5*o - 49, c*m + o - 59 + 4 = 0. Is 27 a factor of m? True Let c be (-183 - 3) + (-16)/(3 + -7). Let b = c + 452. Does 45 divide b? True Suppose 0 = 2*a - 11 + 65. Let g = a + 27. Does 17 divide 237/3 - (-2 - g)? False Suppose -y + 311 = 5*v + y, 4*v = 2*y + 256. Suppose 5*t + v + 122 = 0. Let d = t - -67. Is 30 a factor of d? True Suppose 2*s - 8 = -0*s. Suppose c + w = -4*c + 246, -5*c + 266 = -s*w. Let b = -34 + c. Is 7 a factor of b? False Suppose -3*g - 276 + 531 = 0. Is g a multiple of 2? False Suppose l + 3*o - 6 = -4*l, o = 5*l + 2. Suppose l = 9*q - 10*q + 5. Suppose q*s - 13 = 22. Is s a multiple of 3? False Let r = -59 - -67. Suppose -b + r = -49. Is 11 a factor of b? False Let j(h) = -2*h - 23. Let p be j(-10). Is -20*(p + 7/(-2)) a multiple of 26? True Let s = 1314 + -862. Does 31 divide s? False Let h = -40 - -46. Let n(l) = 3*l**2 - 9*l. Does 22 divide n(h)? False Let q(f) = 5*f - 18. Let v(r) = 2*r. Let b(t) = q(t) + v(t). Suppose 0 = i - 4 - 2. Is b(i) a multiple of 8? True Suppose 0 + 2 = y. Let g = 11 - -21. Suppose y*n = n + g. Is 11 a factor of n? False Let o(n) = n**2 - 17*n + 11. Let j(g) = 3*g + 0*g - 3 + 1. Let s(w) = 34*j(w) + 6*o(w). Is s(-2) a multiple of 17? False Suppose 261 - 12 = -3*u. Let j = 122 + u. Does 8 divide j? False Let y = 109 - -281. Is y a multiple of 12? False Let z = 1001 - 891. Is z a multiple of 10? True Let n = 16 - 12. Does 24 divide (138/3 - 2) + n? True Suppose -8 = -2*n - 0. Let b be (16/40 + (-6)/15)/(-2). Suppose -n*w + 96 = -b*w. Does 5 divide w? False Suppose -11 = 3*s + 85. Let b be -9*(2 + s/12). Suppose b*k - 226 = 4*k. Is 31 a factor of k? False Let b(p) = 8*p**2 + 15*p - 4. Is b(-7) a multiple of 22? False Let a = -5 - -5. Let v = a - -2. Suppose j + v*u = 20, -j - j + 4*u = -32. Is j a multiple of 6? True Let q = -200 + 104. Let m = 175 + q. Does 5 divide m? False Let h be 1/(2/6) - -88. Let b be 130/4 + 1/(-2). Suppose -2*x + 5*s + h = 0, x = -s - s + b. Is 11 a factor of x? False Suppose -13*b + 14 = -12*b. Suppose b = 3*x - 10. Suppose 0 = -r + 33 - x. Is r a multiple of 12? False Let v(h) = -h**3 + 9*h**2 + 5*h + 7. Let x be v(9). Let f(m) = x + 10*m**2 - 14*m**2 + 5*m**2. Is 13 a factor of f(0)? True Let u = 28 - 14. Suppose u = 2*m - 10. Let f(h) = h + 4. Is f(m) a multiple of 8? True Suppose -5*r - 74 = -3*k, 2*r = 5*k - k - 122. Does 12 divide k + 0/(-2) + 3? True Suppose 3*s - 749 = -2*q, -6*q = -s - 7*q + 251. Is s a multiple of 13? True Let s(x) be the first derivative of x**5/30 + x**4/8 - 2*x**3/3 + x**2 + 4. Let g(z) be the second derivative of s(z). Is 4 a factor of g(-3)? False Let p(a) = -a**2 - 8*a - 32. Let d be p(-4). Let u be (-3)/((-6)/4) + 28. Let l = d + u. Does 11 divide l? False Suppose -5*c = 2*x - 35, 11 = c + x + 1. Does 29 divide ((-1)/((-3)/(-186)))/((-2)/c)? False Let l(p) be the third derivative of -13/24*p**4 - 13/60*p**5 - 3*p**2 - 1/120*p**6 - 1/2*p**3 + 0 + 0*p. Is 3 a factor of l(-12)? True Let z(g) = g**2 + 10*g + 8. Let w be z(-8). Let r be (5 - 3)/(w/(-12)). Suppose 117 = r*v + 3*x, x - 203 = -0*v - 5*v. Is 7 a factor of v? False Let n(m) = 4*m**3 + 2*m**2 + 4. Let c(u) = 16*u**3 + 7*u**2 + 15. Let t(k) = 6*c(k) - 22*n(k). Let z be t(2). Let d = -21 + z. Is 7 a factor of d? False Suppose 12*d - 5 = 11*d. Suppose -b + 5*v + 101 = 0, 2*v = 4*b + d*v - 289. Is 18 a factor of b? False Let t be -8 - -9 - (-1 + -214). Is ((t/10)/(-9))/((-1)/100) a multiple of 32? False Let q = 107 - -363. Is 29 a factor of q? False Is 31 a factor of 54/(-16) + 3 + 4374/16? False Suppose -t - 5172 = -4*o + 3*t, 5*t + 1297 = o. Does 26 divide o? False Suppose h = -0*h + 3. Suppose -m - 1 = h, -w = -3*m - 9. Is 10 a factor of 33 -
{ "pile_set_name": "DM Mathematics" }
(s)). 358674*s Let o(b) = 48*b. Let d(a) = 4898*a**2. What is o(d(f))? 235104*f**2 Let i(u) = 7*u + 5. Let g(d) = -3*d - 2. Let o(t) = 15*g(t) + 6*i(t). Let q(n) = 5*n. Give q(o(l)). -15*l Let z(y) = 2*y. Let s(b) = 201*b + 179*b + 81 + 6*b - 81. Determine z(s(f)). 772*f Let t(p) = 5*p - 7. Let i(c) = -c**2 - 1. Let h(z) = 4*z**2 + 3. Let w(a) = 2*h(a) + 6*i(a). Calculate t(w(y)). 10*y**2 - 7 Let g(o) = 2*o**2 + 3925*o - 2. Let f(j) = -14*j. What is f(g(s))? -28*s**2 - 54950*s + 28 Let x(c) = 43495*c**2. Let n(s) = -3*s**2. What is n(x(v))? -5675445075*v**4 Let n(w) = -w. Let u(v) = -15*v**2 + 17*v + 309. What is u(n(j))? -15*j**2 - 17*j + 309 Let i(w) = 38*w. Suppose 3*m + 1277 = 5*z, -3*z + 370 = -4*m - 405. Let j(g) = -253 + z + 2*g. What is i(j(f))? 76*f Let i(x) = 3*x. Let y(o) = -266*o - 4. Calculate i(y(h)). -798*h - 12 Let w(k) = -16*k. Let h be (-2 + 2)/((-6)/6). Let y(d) be the first derivative of h*d - 1/2*d**2 - 2. Determine w(y(a)). 16*a Let k(v) = 117*v**2 + 9*v. Let g(h) = 59*h**2 + 5*h. Let m(t) = -9*g(t) + 5*k(t). Let q(l) = -5*l**2. What is q(m(j))? -14580*j**4 Let a(f) = -f - 51. Let g(r) = 56*r**2 - 9*r. What is g(a(l))? 56*l**2 + 5721*l + 146115 Let x(k) = 2*k**2. Let i(b) be the second derivative of 12*b**2 + 0 + 1/6*b**4 + 0*b**3 - 11*b. What is i(x(h))? 8*h**4 + 24 Let v(u) = 2459*u**2. Let s(h) = 150*h. Determine s(v(k)). 368850*k**2 Let j(v) = 22309 - 22309 - 22*v. Let o(x) = 4*x. Give o(j(t)). -88*t Let i(l) = 52*l**2 - 6*l - 8. Let d(h) = -156*h**2 + 17*h + 23. Let v(y) = -6*d(y) - 17*i(y). Let j(a) = a**2. Calculate v(j(k)). 52*k**4 - 2 Let d(v) = -3*v**2 + 15. Let y(b) = -1444*b**2. What is d(y(a))? -6255408*a**4 + 15 Let f(k) = -10151 + 10151 - k. Let n(i) = -45*i. Calculate n(f(b)). 45*b Let j(c) = 3*c. Let l(v) = 2*v. Let x(q) = -q + 14. Let r be x(10). Let b(s) = r*j(s) - 5*l(s). Let z(g) = -17*g. Determine b(z(d)). -34*d Let s(u) = -3*u. Let j(k) = 701106*k. Calculate j(s(x)). -2103318*x Let d(j) = j + 38884. Let k(q) = -q. Determine d(k(f)). -f + 38884 Let z(g) = -10*g**2. Let x(s) be the first derivative of -4*s**3 + 101. Determine z(x(v)). -1440*v**4 Let f(b) = b**2. Let y(q) = -32859*q - 42. Give y(f(m)). -32859*m**2 - 42 Let z = 8 - 12. Let s(t) = -t**2 + 2*t. Let r(p) = 5*p**2 - 11*p. Let h(w) = z*r(w) - 22*s(w). Let v(n) = 3*n**2 + 7*n**2 - 6*n**2 + 8*n**2. Determine v(h(f)). 48*f**4 Let r(j) be the first derivative of 7*j**3/3 + 5*j**2/2 - 3*j - 10. Let h be r(3). Let w(b) = -8*b**2 + 75 - h. Let g(m) = 2*m. What is g(w(u))? -16*u**2 Let r(h) = -2*h. Let t = 27 + -57. Let n be 18/t - (-84)/15. Let u(f) = -n*f**2 + 0 + 0 + 21*f**2. Determine u(r(j)). 64*j**2 Let q(g) = -8 + 10 - 2 + g**2. Let h(y) = -5*y**2 - 13*y + 13*y. Give q(h(s)). 25*s**4 Let x(u) = u. Let w(h) = 0 + 0 + 246*h - 238*h. Calculate w(x(n)). 8*n Let x(b) = -29*b. Let y(s) = -3*s - 4. Let u(a) = 12*a + 18. Let k(j) = -4*u(j) - 18*y(j). Determine x(k(f)). -174*f Let p(d) be the first derivative of -2*d**3/3 - 2. Let m(s) = -24*s**2 - 4*s**2 + 25*s**2. What is m(p(g))? -12*g**4 Suppose -99 = -19*p - 14*p. Let x(d) be the second derivative of 0*d**p + 0*d**2 + 4*d + 0 - 1/12*d**4. Let b(m) = -6*m**2. Give b(x(k)). -6*k**4 Let b(k) = 11*k**2 - 149*k. Let c(s) = 5*s. Give b(c(t)). 275*t**2 - 745*t Let m(n) = 30*n - 8. Let l(i) = 3*i. Determine m(l(s)). 90*s - 8 Let k(s) = 8*s + 17. Let y(g) = -95*g**2. Give y(k(n)). -6080*n**2 - 25840*n - 27455 Let f be (0 - 3/2)/((-6)/8). Let v(q) = 30*q - 66*q + 36*q + 10*q**f. Let u(d) = -11*d - 8. Let t(y) = 4*y + 3. Let w(a) = 8*t(a) + 3*u(a). Give v(w(j)). 10*j**2 Let i(u) = -7*u**2. Let w(j) = -3*j. Let h(v) be the first derivative of 2*v**2 + 16. Let n(m) = 5*h(m) + 7*w(m). What is n(i(g))? 7*g**2 Let w(r) = 3*r**2. Let v(y) = 323200*y. Give v(w(z)). 969600*z**2 Let l(s) = 13*s**2 + 9*s. Let y(v) = 3*v**2 + 2*v. Let r(c) = c**2 - c + 2. Let a be r(2). Let t(q) = a*l(q) - 18*y(q). Let o(p) = -7*p**2. Calculate o(t(g)). -28*g**4 Let h(g) = 22368*g**2 + 8*g + 1. Let z(k) = k. Calculate z(h(q)). 22368*q**2 + 8*q + 1 Let t(z) = -5*z + 273. Let f(q) = -487*q. Give f(t(k)). 2435*k - 132951 Let c(a) = -7*a + 6. Let v(u) = -u + 1. Let n(q) = c(q) - 6*v(q). Let p(y) be the first derivative of 2*y**3/3 - 702. Give n(p(f)). -2*f**2 Let k(b) = -4*b - 1. Let t(w) = -w + 6. Let c(p) = 10*p - 54. Let n(a) = -2*c(a) - 18*t(a). Determine k(n(o)). 8*o - 1 Let n(d) = 2*d**2. Suppose 12 = -4*r + 2*r. Let l(s) = 6*s + 1503 + s**2 - 1503. Let k(j) = j**2 + 5*j. Let i(h) = r*k(h) + 5*l(h). Determine n(i(m)). 2*m**4 Let b(m) = -2*m + 6. Let q(r) = r - 59. Give b(q(u)). -2*u + 124 Suppose k + 3*k = 36. Let o(w) = -3*w + 23*w - 9*w - k*w. Let s(r) = 2*r**2 - 3*r**2 + 2*r**2. What is s(o(m))? 4*m**2 Let n(u) = -u**2 + 2*u - 2. Let a(v) = v**2 - 3*v + 3. Let h(k) = -4*a(k) - 6*n(k). Let q(p) = -43*p - 58*p + 57*p. Calculate h(q(c)). 3872*c**2 Let l(g) = -14*g**2. Let i(j) be the third derivative of 0 + 0*j**3 - 21*j**2 + 1/6*j**4 + 0*j. Give l(i(a)). -224*a**2 Let o(t) = -6*t - 6. Let f(q) = -8*q**2 - 68*q + 34. Let x(c) = 3*c**2 + 24*c - 12. Let b(h) = -6*f(h) - 17*x(h). Determine b(o(s)). -108*s**2 - 216*s - 108 Let s(o) = -2*o. Let u(m) be the second derivative of -17*m**4/4 - 7*m**2/2 + 3*m + 64. Calculate u(s(t)). -204*t**2 - 7 Let n(c) = 10*c**2 + 2*c - 4. Let t be n(2). Let r(z) = 13*z + 0 - t*z + 0. Let i(k) = -2*k**2. Determine r(i(q)). 54*q**2 Let d(h) = -356032*h. Let z(k) = k**2. What is z(d(n))? 126758785024*n**2 Let f(c) = 3*c**2. Let d(v) = 222*v - 73*v - 15 - 76*v - 74*v. What is d(f(t))? -3*t**2 - 15 Let g(n) = -n. Suppose -4*m + 73 = 3*z, 1 - 3 = 2*z. Let u(a) be the first derivative of m + 0*a**2 + 2*a**2 - 21. Calculate u(g(k)). -4*k Let r(k) = 4*k. Let b(i) be the first derivative of 25*i**2/2 + 45. Give r(b(j)). 100*j Let v(q) = -q**2 + 11*q - 11. Let t = 43 + -32. Let x(d) = d**2 - 6*d + 6. Let r(n) = t*x(n) + 6*v(n). Let z(s) = 7*s**2. Give z(r(b)). 175*b**4 Let f(n) = 4*n. Let z(m) = 4*m**2 + 3. Suppose 4*r - 10 - 2 = 0. Suppose -a = 4 - 12. Let x(g) = -11*g**2 - 8. Let q(p) = a*z(p) + r*x(p). Give q(f(d)). -16*d**2 Let r be (6/4)/(42/(-28))*-2. Suppose -4*k = 2*c - 36, -4 = -4*k + 4*c + 8. Let t(l) = 3*l**2 + k*l**2 - 7*l**r. Let y(h) = -2*h**2. Give t(y(x)). 12*x**4 Let d(g) = -87*g - 23*g - 144*g. Let w(p) = -2*p. Calculate w(d(i)). 508*i Let i(n) = -n**2. Let u(j) = 6493635*j. What is u(i(a))? -6493635*a**2 Let b(g) be the first derivative of 9*g**2 - 14 + 0 - 19*g**2. Let m(w) = 2*w. Determine m(b(h)). -40*h Let p(c) = -6*c**2 - 3*c. Let z(l) = 11*l**2 + 7*l. Let b(a) = -14*p(a) - 6*z(a). Let y(i) = -4*i**2. Determine y(b(o)). -1296*o**4 Let p(l) = 42*l**2 + 10*l. Let q(v) = 2*v. What is p(q(d))? 168*d**2 + 20*d Let z(f) be the third derivative of -f**4/6 - 51*f**2 + 5*f + 2. Let o(l) = -1. Let g(w) = w - 1. Let a(y) = -3*g(y) + 3*o(y). Determine a(z(j)). 12*j Suppose 5*f - 21 = 3*t - 0*t, -3*f = -4*t - 6. Let j(m) = f*m + 2*m - 16*m. Let w(i) = -i. Determine w(j(v)). 8*v Let h be 4*1 + -4 + 5. Suppose 0 = -3*w + x + h, 0 = -5*w - 0*x - 3*x - 15. Let q(n) = 3*n**2 - n**2 - 4*n**2 + w*n**2. Let t(j) = -2*j**2. What is q(t(c))? -8*c**4 Suppose 27*y = -183 + 264. Let k(x) be the third derivative of 0*x - 11*x**2 + 0*x**4 - 1/3*x**5 + 0*x**y + 0. Let f(v) = -2*v. Calculate k(f(j)). -80*j**2 Let v(x) = -2*x. Let t(c) = 2741*c - 54. What is t(v(w))? -5482*w - 54 Let z(t) be the third derivative of -t**5/30 - t**2. Let b(v) be the second derivative of 9*v**4/2 + 1819*v. Give z(b(r)). -5832*r**4 Let j(r) = -2*r. Let o(v) be the third derivative of v**5/60 - 43*v**3/6 + 7*v**2 + 3*v. Give o(j(w)). 4*w**2 - 43 Let m(i) = 2*i**2. Let q(a) = -a**3 + 4*a**2 + a + 2. Let c be q(4). Let k(p) = c*p - p - 4*p. Let v(f) = f. Let y(u) = -k(u) - v(u). What is m(y(g))? 8*g**2 Let i(l) be the third derivative of 0 - 9*l**2 + 0*l**3 + 1/24*l**4 + 0*l. Let m(c) = 4*c**2 - 7*c**2 + c**2. Calculate i(m(x)). -2*x**2 Let s(n) be the third derivative of -n**2 + n**3 + 0 + 0*n - 1/24*n**5 + 0*n**4. Let a(r) be the first derivative of s(r). Let y(i) = -i. Calculate y(a(k)). 5*k Let m(n) = 105*n. Let s(y) = 7*y. Let u(w) = -6*m(w) + 91*s(w). Let h(x) = -5*x. Calculate h(u(c)). -35*c Let w(i) = i**2 + i - 9175. Let m(d) = -6*
{ "pile_set_name": "DM Mathematics" }
5 times 0.3? -132094.5 -21191 * -0.7 14833.7 Work out -1797.067 * 0.5. -898.5335 What is the product of 150 and 2.24? 336 -0.159 * 0.1358 -0.0215922 Calculate -1.3868*0.06. -0.083208 Multiply -4 and 0.4687. -1.8748 Calculate 298.8*-13. -3884.4 155296*-5 -776480 What is the product of -11587 and -11? 127457 Calculate -4750.95*-6. 28505.7 Product of 509 and -7972. -4057748 Work out -2.04 * -0.158. 0.32232 Product of -51.04 and -51. 2603.04 What is the product of -19004 and -0.4? 7601.6 What is -25257 times -22? 555654 Calculate -0.2005*-0.02. 0.00401 What is the product of -245.99 and -0.07? 17.2193 -2.2 * -0.8899 1.95778 -197.34*1 -197.34 What is the product of -0.6 and -30? 18 0.05*-4104 -205.2 Product of -14 and -0.4053. 5.6742 -172209.6 * 4 -688838.4 Work out -0.07705 * 0.1. -0.007705 What is -16.13183 times 0.5? -8.065915 What is the product of -15583.3 and -0.4? 6233.32 Multiply 102 and -0.07109. -7.25118 Calculate 1*179112. 179112 Multiply 0 and 1362373. 0 Multiply 1.61 and -0.68. -1.0948 What is -1132585 times 2? -2265170 -0.72*-1.497 1.07784 32.03 times 61 1953.83 What is 5 times 201? 1005 What is the product of 192 and 1245? 239040 Multiply 72.672 and -1. -72.672 Calculate 0.4*17.715. 7.086 What is 0.3 times -12.5389? -3.76167 0.3*-9711 -2913.3 What is -0.104432 times 5? -0.52216 Work out 0 * -5292. 0 What is -1637 times -0.101? 165.337 -1097.385*-3 3292.155 What is the product of -479928 and 0.1? -47992.8 What is 21 times 819? 17199 Multiply 12 and -1.206. -14.472 What is the product of 0.06332 and 0.04? 0.0025328 -41 * 135.52 -5556.32 -1037 times 5.9 -6118.3 -0.02 times 13151 -263.02 0.1291 * 0.26 0.033566 Product of 4260 and -0.626. -2666.76 Product of -3010309 and 0.1. -301030.9 -14245 times 0.018 -256.41 0.18799 * 0.09 0.0169191 What is the product of 37 and -4.0666? -150.4642 Multiply -4.52 and 103. -465.56 -219.6*-0.56 122.976 21*4126 86646 Product of -3476 and -0.3. 1042.8 What is the product of -117 and 10198? -1193166 Multiply 843763 and -1. -843763 -346150 * 1 -346150 What is -0.109 times 0.16594? -0.01808746 Work out 2000 * 0.16. 320 Calculate -3.0747*16. -49.1952 What is the product of -16 and 3511? -56176 -13676.86 times -4 54707.44 -8733 * -10 87330 Multiply -0.1 and 111303. -11130.3 Work out 342220.8 * 0. 0 41 * 0.2836 11.6276 Calculate -2281*-32. 72992 Calculate 303*-0.004. -1.212 -190631 times -18 3431358 Multiply 5 and -39775. -198875 What is the product of 71 and -21673? -1538783 Calculate -1452.35*1. -1452.35 Work out 2 * -1.6534. -3.3068 -173.11*0.2 -34.622 Product of -5 and -10.80956. 54.0478 What is the product of -98.5 and 263? -25905.5 What is the product of -2 and -25540? 51080 What is the product of -50243 and 3? -150729 What is the product of -290 and 0.54? -156.6 Calculate -0.12*-6274. 752.88 Calculate 181.411*-0.4. -72.5644 Work out -4.1 * 11369. -46612.9 Multiply -0.16 and 2805. -448.8 Product of -0.07511 and -0.126. 0.00946386 Calculate -8667*-4. 34668 4 times 1852 7408 -34.061 * -2 68.122 0.05195*-199 -10.33805 Work out -5 * -199950. 999750 -0.4 times -0.0180613 0.00722452 Work out 27.72 * -49. -1358.28 2*-6664.7 -13329.4 What is 0.082 times 0.037? 0.003034 Product of 0.04674 and 2. 0.09348 What is 2 times 11823.4? 23646.8 What is -0.71 times 3209? -2278.39 4633 * 73 338209 -5.32267 * 3 -15.96801 -0.46 times -3.39 1.5594 42970*0.2 8594 Multiply -1802 and 87.7. -158035.4 -2.85 * 811 -2311.35 Product of 0.2167 and 0.28. 0.060676 21.308*0.027 0.575316 What is the product of 940.13 and -1.9? -1786.247 Product of 38 and 9488. 360544 What is the product of -0.329 and 20.21? -6.64909 What is 3 times -118.2768? -354.8304 -171753 times 1 -171753 Multiply -0.2 and 1191.92. -238.384 Product of -5 and 0.0042659. -0.0213295 Calculate -67*-1589. 106463 -0.5 times -0.05466 0.02733 Calculate -0.3*-0.593825. 0.1781475 What is 0.4 times 11173? 4469.2 What is the product of 0.3 and 79.67? 23.901 6534 times 24 156816 Product of -28056 and -7. 196392 Product of 49 and -0.5066. -24.8234 -0.5 * 0.059209 -0.0296045 What is 0.0078 times -56? -0.4368 Multiply 50.4634 and -0.5. -25.2317 What is 874 times -1.3? -1136.2 What is -34.61403 times -0.5? 17.307015 Product of -0.3 and -5435.1. 1630.53 What is the product of -58 and -1027? 59566 6.34 * 2146 13605.64 What is -144167 times 4? -576668 What is the product of 401.2 and 0.027? 10.8324 What is the product of -27.876 and -20? 557.52 What is 3.4324 times -1.4? -4.80536 -59875.7 * 0.5 -29937.85 Work out -1927.16 * -1. 1927.16 Multiply 0.065 and 0.06584. 0.0042796 Multiply 11.59496 and 8. 92.75968 Product of -0.2 and -0.048164. 0.0096328 What is the product of 0.5 and 12.823? 6.4115 -1*5806 -5806 Calculate 18.478*3. 55.434 Work out -2 * 68904.7. -137809.4 What is the product of -7.03 and -217? 1525.51 What is the product of -0.2 and -5930.6? 1186.12 11772.9 * 0 0 What is the product of 20.41 and 106? 2163.46 -1489 times -18 26802 What is the product of 1053 and 20.2? 21270.6 2 times -0.9811 -1.9622 47*-177 -8319 1803 times 140 252420 -1.26 * 1651 -2080.26 Multiply -0.4 and -2880.3. 1152.12 Multiply 22 and -8181. -179982 What is the product of 1745.8 and -18? -31424.4 -8 times 549310 -4394480 945 * -2025 -1913625 3*13473 40419 Work out -19371 * 39. -755469 0.2 * -12031 -2406.2 Product of 26 and -0.82. -21.32 Work out 0.062 * -2.093. -0.129766 -9.9 * -1.1 10.89 Work out -5245 * 124. -650380 5 times -17.8776 -89.388 -38*-25.863 982.794 Calculate 4.59*21. 96.39 2.2459*111 249.2949 0.1 * 0.13138 0.013138 -4 * -27239 108956 Work out -850798 * -2. 1701596 What is 58 times 8555? 496190 Multiply 0.07 and -0.68041. -0.0476287 -2872240 times -0.5 1436120 Work out -281 * -1756. 493436 What is the product of -4 and -19.16? 76.64 -1.9*-10170 19323 4 * -1145.9 -4583.6 What is the product of 2.6 and 1514? 3936.4 Calculate -0.2*-81524. 16304.8 What is the product of 286240 and 3? 858720 Product of -11 and 14952. -164472 Product of -121.0144 and -1. 121.0144 What is the product of -1144 and -2.26? 2585.44 5151*-29 -149379 Multiply 660 and 2.61. 1722.6 What is the product of 0.0463 and 1440? 66.672 What is -0.5 times 0.3056? -0.1528 What is the product of 919 and 0.5? 459.5 What is 0.3 times 832? 249.6 226 * -0.141 -31.866 Work out -2.69 * 332. -893.08 0.169804 * 2 0.339608 What is 0.1 times 1416.3? 141.63 0.04*12892 515.68 664.7*0.2 132.94 Product of -7412 and 0.03. -222.36 Calculate 5*9723. 48615 Product of -0.4 and 3432. -1372.8 Calculate 903794*1. 903794 Calculate 10168*-0.157. -1596.376 Work out -0.055 * -0.86. 0.0473 0.06 * -230232 -13813.92 -65.32*-7 457.24 Work out -93655 * -16. 1498480 0.056 times -1.23 -0.06888 What is the product of -0.1 and -669174? 66917.4 0.6 * -5957 -3574.2 -89*313 -27857 0*-23390 0 -1.17*-721 843.57 -808455 * 0.3 -242536.5 Calculate -0.0704*2. -0.1408 -598 * -10 5980 3.61 times -11371 -41049.31 What is the product of 167 and -2.056? -343.352 What is -622 times 289? -179758 43490.37 * 3 130471.11 0.05 * 0.27301 0.0136505 What is 1576 times 67? 105592 19*-79437 -1509303 Multiply -54 and -2.675. 144.45 -0.0361475 * 0.1 -0.00361475 -1663 * 0.42 -698.46 What is the product of 110322 and 0.1? 11032.2 2*27406 54812 -308 times -1766 543928 Product of 5 and 366553. 1832765 Work out -0.643 * 523. -336.289 -0.28 times -1549 433.72 Work out -7.5 * 180. -1350 Work out 93 * -2. -186 Multiply 16936.9 and -0.3. -5081.07 Calculate 4906*-6.8. -33360.8 Work out 0.02 * 339. 6.78 -2676 times -0.04 107.04 Product of -3.758 and -0.12. 0.45096 Calculate 0.1017*0.9. 0.09153 0.184 * -21 -3.864 Work out -0.5 * -286522. 143261 Calculate 0.5*-4.2374. -2.1187 What is the product of 0.4063 and -9.3? -3.77859 What is -80 times -9.55? 764 Calculate 14*6290. 88060 Calculate -641*73. -46793 -2 times -4.5799 9.1598 What is the product of 1179.3 and -11? -12972.3 Calculate 0.1541*44. 6.7804 19 * 126.7 2407.3 What is -1 times 2618? -2618 -0.3 * -13179 3953.7 Work out 0.06639 * 121. 8.03319 Calculate 2*-5235.6. -10471.2 What is the product of 212 and -48? -10176 Product of 4347 and 101. 439047 0.2 * 2.8487 0.56974 -0.02 * -0.1892 0.003784 What is -333 times -833? 277389 Product of 1 and -889.18. -889.18 Work out 0 * 30367.1. 0 Calculate 7530*10. 75300 Work out 1773 * -56. -99288 What is -1306 times -2
{ "pile_set_name": "DM Mathematics" }
rom fhwfffwwfw? 2/15 Two letters picked without replacement from {r: 4, i: 2, m: 2, k: 4, a: 2}. Give prob of sequence km. 4/91 Three letters picked without replacement from {s: 9, y: 7}. Give prob of sequence yys. 9/80 Calculate prob of sequence mml when three letters picked without replacement from {x: 7, m: 7, l: 1, r: 2}. 7/680 Calculate prob of sequence jdsd when four letters picked without replacement from {j: 1, s: 7, d: 5}. 7/858 What is prob of sequence fxa when three letters picked without replacement from {a: 8, f: 1, x: 6}? 8/455 Two letters picked without replacement from qqqq. What is prob of sequence qq? 1 Two letters picked without replacement from {w: 5, p: 2, e: 1, g: 1}. Give prob of sequence wg. 5/72 Calculate prob of sequence ee when two letters picked without replacement from eemechc. 1/7 Two letters picked without replacement from skuusugu. What is prob of sequence kg? 1/56 Calculate prob of sequence pxp when three letters picked without replacement from cxxpxcpdpwdk. 3/220 Four letters picked without replacement from {h: 13, d: 3}. Give prob of sequence hhhh. 11/28 Calculate prob of sequence gk when two letters picked without replacement from {g: 6, k: 4}. 4/15 Three letters picked without replacement from lyllllylylll. Give prob of sequence yyy. 1/220 Calculate prob of sequence zczz when four letters picked without replacement from {t: 1, z: 1, p: 4, c: 2}. 0 Calculate prob of sequence ff when two letters picked without replacement from {f: 12, j: 6}. 22/51 Three letters picked without replacement from {t: 1, x: 2, d: 3, i: 13}. What is prob of sequence ddt? 1/969 Calculate prob of sequence vv when two letters picked without replacement from dddddpvdddvddvddpvt. 2/57 Three letters picked without replacement from {r: 1, k: 1, w: 3}. What is prob of sequence rrk? 0 Two letters picked without replacement from vwwvzvzvccvvz. What is prob of sequence ww? 1/78 Four letters picked without replacement from {p: 1, z: 1, d: 1, o: 2, v: 1, m: 1}. What is prob of sequence dvom? 1/420 What is prob of sequence si when two letters picked without replacement from ksskissskk? 1/18 Calculate prob of sequence gzya when four letters picked without replacement from {z: 7, g: 2, l: 2, y: 1, f: 3, a: 5}. 7/11628 Three letters picked without replacement from zmwzzzwwzznnnz. What is prob of sequence www? 1/364 Three letters picked without replacement from lvkbsvvv. Give prob of sequence bks. 1/336 Calculate prob of sequence daa when three letters picked without replacement from {b: 2, s: 1, d: 6, a: 2}. 2/165 Two letters picked without replacement from {q: 10, o: 7, f: 1, x: 2}. What is prob of sequence oq? 7/38 Two letters picked without replacement from rsvr. Give prob of sequence rv. 1/6 Two letters picked without replacement from wwwwwwwwwnwwwww. Give prob of sequence ww. 13/15 Three letters picked without replacement from {i: 3, q: 1, r: 3}. What is prob of sequence iii? 1/35 Calculate prob of sequence mfmf when four letters picked without replacement from {p: 2, m: 4, j: 1, f: 1}. 0 Four letters picked without replacement from {t: 5, p: 11}. Give prob of sequence tptp. 55/1092 Two letters picked without replacement from auafe. Give prob of sequence ea. 1/10 Two letters picked without replacement from ggvggvggggvggggvgv. What is prob of sequence gg? 26/51 Three letters picked without replacement from {l: 5, u: 3}. What is prob of sequence uul? 5/56 Three letters picked without replacement from wewwwwweee. What is prob of sequence eew? 1/10 Four letters picked without replacement from tynzezzyyzyzynyeyzzy. What is prob of sequence nyze? 28/14535 Calculate prob of sequence www when three letters picked without replacement from wwwww. 1 Calculate prob of sequence vt when two letters picked without replacement from {v: 1, f: 1, a: 1, t: 1, n: 1, j: 2}. 1/42 Two letters picked without replacement from yhzhhyk. Give prob of sequence kh. 1/14 Two letters picked without replacement from jwwjjjjwwjjwijwjiww. Give prob of sequence ji. 1/19 Calculate prob of sequence ayq when three letters picked without replacement from {y: 5, a: 3, q: 8}. 1/28 Two letters picked without replacement from {l: 2, n: 2, h: 3, f: 2}. Give prob of sequence hh. 1/12 What is prob of sequence ll when two letters picked without replacement from dminnmindinldnidnn? 0 Two letters picked without replacement from khhokhhdrrrkrhkrkhhh. What is prob of sequence dr? 1/76 Two letters picked without replacement from iiiut. Give prob of sequence ti. 3/20 Three letters picked without replacement from gqq. Give prob of sequence qgq. 1/3 Calculate prob of sequence aak when three letters picked without replacement from {k: 5, a: 14}. 455/2907 Four letters picked without replacement from prcbctbccictcccb. What is prob of sequence tcip? 1/2730 What is prob of sequence zvz when three letters picked without replacement from {o: 1, z: 2, v: 1, u: 2, s: 1}? 1/105 What is prob of sequence mss when three letters picked without replacement from pkmspsppmskp? 1/110 Calculate prob of sequence vris when four letters picked without replacement from {i: 1, o: 1, v: 1, r: 1, s: 1}. 1/120 What is prob of sequence men when three letters picked without replacement from temntec? 1/105 What is prob of sequence zttn when four letters picked without replacement from xgtnxgtxxtczx? 1/2860 Four letters picked without replacement from {k: 3, e: 3, f: 3, b: 10}. What is prob of sequence feff? 1/5168 What is prob of sequence jp when two letters picked without replacement from {q: 2, p: 9, j: 1, u: 2}? 9/182 Three letters picked without replacement from rqqrr. What is prob of sequence rrq? 1/5 Calculate prob of sequence vlv when three letters picked without replacement from rlvrlllvrrlvlvl. 2/65 What is prob of sequence vvr when three letters picked without replacement from {m: 2, v: 3, r: 2, u: 2, t: 2, a: 6}? 1/340 Calculate prob of sequence gxg when three letters picked without replacement from gxxxg. 1/10 Calculate prob of sequence dvv when three letters picked without replacement from ddvvvvvdvddvvv. 15/91 What is prob of sequence alxl when four letters picked without replacement from lzslslslxlxsgas? 1/819 Calculate prob of sequence ae when two letters picked without replacement from eaea. 1/3 Four letters picked without replacement from wwvrnv. Give prob of sequence vvwr. 1/90 What is prob of sequence nnn when three letters picked without replacement from ccncnlsclnn? 4/165 Four letters picked without replacement from sexjxesexxaeta. What is prob of sequence seea? 2/1001 Calculate prob of sequence lrl when three letters picked without replacement from {h: 4, l: 3, r: 1}. 1/56 What is prob of sequence ump when three letters picked without replacement from pmpmpuupmpppmmumuum? 245/5814 Three letters picked without replacement from yqqquqyuqqqaququ. What is prob of sequence uuu? 1/140 Calculate prob of sequence bfb when three letters picked without replacement from fffbfffffffffffffffb. 1/190 What is prob of sequence hz when two letters picked without replacement from {b: 7, m: 1, t: 6, z: 2, h: 4}? 2/95 Two letters picked without replacement from {d: 7, f: 7}. Give prob of sequence dd. 3/13 Two letters picked without replacement from utauf. Give prob of sequence ua. 1/10 Two letters picked without replacement from slisyui. What is prob of sequence ii? 1/21 What is prob of sequence zo when two letters picked without replacement from mzo? 1/6 Two letters picked without replacement from {q: 1, x: 1, t: 1, a: 1, k: 1}. Give prob of sequence qx. 1/20 What is prob of sequence px when two letters picked without replacement from {b: 1, y: 1, p: 1, x: 1, a: 1}? 1/20 Four letters picked without replacement from olsseeolshslsoeh. What is prob of sequence oees? 3/1456 Calculate prob of sequence oyo when three letters picked without replacement from {o: 2, y: 3, g: 1, j: 7, b: 6}. 1/969 Two letters picked without replacement from lcdddcdddlldl. Give prob of sequence dd. 7/26 What is prob of sequence lyyl when four letters picked without replacement from {y: 13, l: 6}? 65/1292 Four letters picked without replacement from xxvvxxvvvv. Give prob of sequence vvvx. 2/21 Three letters picked without replacement from vvvvvhvv
{ "pile_set_name": "DM Mathematics" }
the c'th term of -7220, -10530, -13840, -17150, -20460? -3310*c - 3910 What is the s'th term of -164, -408, -700, -1064, -1524, -2104? -4*s**3 - 216*s + 56 What is the s'th term of -43551, -85035, -126519, -168003, -209487? -41484*s - 2067 What is the f'th term of 469, 2910, 5353, 7798, 10245? f**2 + 2438*f - 1970 What is the a'th term of -17648, -35190, -52586, -69794, -86772, -103478? 7*a**3 + 31*a**2 - 17684*a - 2 What is the n'th term of 885, 858, 803, 720, 609, 470, 303? -14*n**2 + 15*n + 884 What is the d'th term of 76477, 305870, 688187, 1223428, 1911593, 2752682, 3746695? 76462*d**2 + 7*d + 8 What is the r'th term of 174557861, 174557865, 174557869, 174557873, 174557877? 4*r + 174557857 What is the t'th term of -1018, -1167, -1262, -1177, -786? 21*t**3 - 99*t**2 + t - 941 What is the v'th term of -323058, -1292318, -2907778, -5169438, -8077298? -323100*v**2 + 40*v + 2 What is the d'th term of 218535, 219965, 221405, 222861, 224339, 225845? d**3 - d**2 + 1426*d + 217109 What is the j'th term of -46223, -92641, -139059, -185477, -231895, -278313? -46418*j + 195 What is the n'th term of 60631, 121298, 181965, 242632, 303299? 60667*n - 36 What is the x'th term of 6627812, 6627813, 6627814, 6627815, 6627816? x + 6627811 What is the x'th term of -82928418, -82928420, -82928422, -82928424, -82928426? -2*x - 82928416 What is the v'th term of 72666, 72816, 73070, 73428? 52*v**2 - 6*v + 72620 What is the c'th term of 18369, 62981, 137337, 241437, 375281, 538869? 14872*c**2 - 4*c + 3501 What is the s'th term of 87148, 88117, 89086? 969*s + 86179 What is the p'th term of 28748, 120235, 272706, 486155, 760576, 1095963, 1492310? -p**3 + 30498*p**2 - 1749 What is the h'th term of -9131119, -18262234, -27393349, -36524464, -45655579, -54786694? -9131115*h - 4 What is the o'th term of 14, 121, 454, 1139, 2302, 4069? 21*o**3 - 13*o**2 - o + 7 What is the z'th term of 707880, 1415772, 2123666, 2831562? z**2 + 707889*z - 10 What is the s'th term of -18967776, -18967773, -18967770, -18967767, -18967764? 3*s - 18967779 What is the t'th term of -16613208, -16613209, -16613210, -16613211, -16613212? -t - 16613207 What is the v'th term of 13410356, 13410355, 13410354, 13410353, 13410352, 13410351? -v + 13410357 What is the z'th term of 860682, 860694, 860736, 860826, 860982? 3*z**3 - 3*z**2 + 860682 What is the w'th term of 67306, 68827, 70348? 1521*w + 65785 What is the m'th term of -47525, -47522, -47569, -47690, -47909, -48250? -4*m**3 - m**2 + 34*m - 47554 What is the j'th term of -3849, -12936, -28075, -49260, -76485, -109744? j**3 - 3032*j**2 + 2*j - 820 What is the g'th term of -59651189, -59651188, -59651187, -59651186, -59651185? g - 59651190 What is the r'th term of 42191424, 84382850, 126574276, 168765702? 42191426*r - 2 What is the c'th term of 1315, 1286, 1253, 1216, 1175, 1130? -2*c**2 - 23*c + 1340 What is the p'th term of 2789, 5480, 8115, 10688, 13193, 15624? -p**3 - 22*p**2 + 2764*p + 48 What is the z'th term of -13044730, -26089435, -39134140, -52178845, -65223550? -13044705*z - 25 What is the x'th term of -30801, -26870, -22943, -19020, -15101, -11186? -2*x**2 + 3937*x - 34736 What is the a'th term of 28098, 110348, 246748, 437298, 681998, 980848, 1333848? 27075*a**2 + 1025*a - 2 What is the f'th term of -11463, -11465, -11491, -11547, -11639, -11773? -f**3 - 6*f**2 + 23*f - 11479 What is the o'th term of -433, -718, -841, -802? 81*o**2 - 528*o + 14 What is the y'th term of 2076, 3526, 4976, 6426, 7876? 1450*y + 626 What is the b'th term of -2393, -1718, 2017, 8812? 1530*b**2 - 3915*b - 8 What is the n'th term of -10938266, -21876530, -32814794, -43753058, -54691322? -10938264*n - 2 What is the y'th term of 164070958, 164070956, 164070954? -2*y + 164070960 What is the p'th term of -718321, -2873300, -6464933, -11493220, -17958161, -25859756, -35198005? -718327*p**2 + 2*p + 4 What is the y'th term of 428647, 855892, 1283137, 1710382, 2137627? 427245*y + 1402 What is the p'th term of 11144, 49810, 114262, 204506, 320548? p**3 + 12887*p**2 - 2*p - 1742 What is the i'th term of 21104, 42157, 63102, 83885, 104452? -9*i**3 + 21116*i - 3 What is the y'th term of -107755, -431062, -969923, -1724344, -2694331? -y**3 - 107771*y**2 + 13*y + 4 What is the i'th term of -2198, -2480, -2774, -3086, -3422, -3788, -4190? -i**3 - 275*i - 1922 What is the y'th term of 257136, 510465, 763794, 1017123, 1270452? 253329*y + 3807 What is the r'th term of -8649, -21392, -34135, -46878? -12743*r + 4094 What is the t'th term of 26801, 27103, 27605, 28307, 29209, 30311, 31613? 100*t**2 + 2*t + 26699 What is the h'th term of -40971, -41073, -41243, -41481? -34*h**2 - 40937 What is the x'th term of 184, 185, 172, 151, 128, 109, 100? x**3 - 13*x**2 + 33*x + 163 What is the v'th term of 7745, 6833, 5921, 5009? -912*v + 8657 What is the f'th term of 7122, 37500, 88136, 159036, 250206? f**3 + 10123*f**2 + 2*f - 3004 What is the o'th term of -64123, -256512, -577169, -1026094, -1603287? -64134*o**2 + 13*o - 2 What is the k'th term of 51247, 53177, 56393, 60895? 643*k**2 + k + 50603 What is the i'th term of 40089, 42831, 45573? 2742*i + 37347 What is the t'th term of 956, 1472, 1998, 2552, 3152? 3*t**3 - 13*t**2 + 534*t + 432 What is the z'th term of -347, -576, -663, -590, -339? 3*z**3 + 53*z**2 - 409*z + 6 What is the m'th term of 497, 1994, 5483, 11966, 22445, 37922, 59399? 167*m**3 - 6*m**2 + 346*m - 10 What is the x'th term of -135711, -271253, -406795, -542337, -677879? -135542*x - 169 What is the u'th term of 731454, 1462909, 2194370, 2925837, 3657310, 4388789? 3*u**2 + 731446*u + 5 What is the f'th term of -1686, -962, -238, 486, 1210? 724*f - 2410 What is the o'th term of 18516366, 37032744, 55549122, 74065500, 92581878, 111098256? 18516378*o - 12 What is the o'th term of 13648, 20597, 27546? 6949*o + 6699 What is the v'th term of 410984, 822211, 1233438, 1644665, 2055892? 411227*v - 243 What is the l'th term of 341585, 343473, 345359, 347243, 349125, 351005, 352883? -l**2 + 1891*l + 339695 What is the u'th term of -162, -2592, -7360, -14466, -23910, -35692, -49812? -1169*u**2 + 1077*u - 70 What is the x'th term of -5377, -22484, -52389, -96232, -155153, -230292, -322789? -190*x**3 - 5259*x**2 + 72 What is the a'th term of -1537892, -3075774, -4613642, -6151496, -7689336, -9227162, -10764974? 7*a**2 - 1537903*a + 4 What is the q'th term of -5479, -8308, -11137, -13966? -2829*q - 2650 What is the x'th term of 45127, 94301, 143475, 192649, 241823? 49174*x - 4047 What is the x'th term of 159075, 318126, 477153, 636162, 795159, 954150, 1113141, 1272138? x**3 - 18*x**2 + 159098*x - 6 What is the w'th term of -570445, -570398, -570365, -570352, -570365, -570410, -570493, -570620? -w**3 - w**2 + 57*w - 570500 What is the d'th term of -637334, -636175, -635016, -633857, -632698? 1159*d - 638493 What is the x'th term of -958598, -1917126, -2875654? -958528*x - 70 What is the g'th term of 3515, 8571, 13627, 18683, 23739? 5056*g - 1541 What is the i'th term of -16547, -16626, -16705? -79*i - 16468 What is the t'th term of -9299, -18506, -27597, -36536, -45287, -53814, -62081? 6*t**3 + 22*t**2 - 9315*t - 12 What is the x'th term of 116190, 231305, 346418, 461529, 576638, 691745? -x**2 + 115118*x + 1073 What is the c'th term of -11274, -20084, -28894, -37704? -8810*c - 2464 What is the m'th term of -16162386, -16162385, -16162382, -16162377, -16162370, -16162361? m**2 - 2*m - 16162385 What is the g'th term of -14580, -58137, -130660, -232143, -362580, -521965, -710292, -927555? g**3 - 14489*g**2 - 97*g + 5 What is the l'th term of 906344, 3625340, 8156994, 14501300, 22658252, 32627844, 44410070, 58004924? -l**3 + 906335*l**2 - 2*l + 12 What is the r'th term of 149, 689, 2257, 5399, 10661, 18589? 91*r**3 - 32*r**2 - r + 91 What is the c'th term of 9962469, 9962426, 9962383, 9962340, 9962297? -43*c + 9962512 What is the l'th term of -5343295, -10686582, -16029869, -21373156? -5343287*l - 8 What is the l'th term of 189426, 380512, 571596, 762678, 953758, 1144836? -l**2 + 191089*l - 1662 What is the u'th term of -239348, -957376, -2154088, -3829484, -5983564, -8616328, -11727776? -239342*u**2 - 2*u - 4 What is the c'th term of 3208, 4086, 4962, 5836, 6708? -c**2 + 881*c + 2328
{ "pile_set_name": "DM Mathematics" }
is p rounded to the nearest ten? -40 Let b = 36965.0000031905 + -36965. What is b rounded to seven dps? 0.0000032 Let r = -34.7766 + -0.2484. Let y = 124 - 89. Let t = r + y. Round t to two decimal places. -0.03 Let q = 694967439311.00057 + -694947501857. Let w = -19937545 + q. Let s = w + 91. Round s to four decimal places. 0.0006 Let g(n) = -7*n**2 + 73. Let z = -77 + 84. Let u be g(z). What is u rounded to the nearest 100? -300 Let k = 1244.000000998 - 1244. What is k rounded to 6 decimal places? 0.000001 Let m = -20532 + 10945. Let q(c) = -3844*c**2 - 36*c - 99. Let a be q(-3). Let k = a - m. Round k to the nearest 10000. -30000 Let t = 12.521 + -134.831. Round t to 0 decimal places. -122 Let h = -881.919941469 + 881.92. What is h rounded to 6 dps? 0.000059 Let o = -0.1491 + 0.222. Let h = -0.07290679 + o. What is h rounded to 6 decimal places? -0.000007 Let n be -6*7/((-42)/(-52)). Let x be (-18)/(-8) - 39/n. Let c(h) = -88*h**2 + 5*h - 3. Let b be c(x). What is b rounded to the nearest 100? -800 Let i = 352.32 + -352.319955825. Round i to 7 dps. 0.0000442 Let o = 806159200483 + -806159200390.0434244337. Let c = 0.0434032337 + o. Let x = c - 93. What is x rounded to 6 dps? -0.000021 Suppose h = -2*h + o - 29862297, 5*h + 5*o = -49770515. What is h rounded to the nearest one hundred thousand? -10000000 Let p = -104868.0539976 + 104868. Let l = -128 - -127.946. Let d = l - p. Round d to six dps. -0.000002 Let h = 13.49 + -12.35. What is h rounded to 2 decimal places? 1.14 Let p = 18205 + -18204.984323. Let g = 0.0155 - p. Round g to five decimal places. -0.00018 Let h(s) = 90*s**2 - 77*s - 17. Let j be h(11). Round j to the nearest one thousand. 10000 Suppose -5*f + u - 28 = 6, -3*u = 2*f. Let q be 4/12 - 10/f. Suppose q*y - 2400000 = -y. Round y to the nearest 100000. 800000 Let z = 250600 + -250594.29988. Let w = 93.3 - 99. Let j = z + w. Round j to 4 dps. 0.0001 Let f = -17109.934476 - -17110. What is f rounded to two dps? 0.07 Let l = 89 + -89. Suppose l = -2*y - 3*y - 100334655. Let b = 30846931 + y. Round b to the nearest 1000000. 11000000 Let a(k) = 18*k - 106. Let h be a(6). Let t be (h + (-60)/9)/(13/195). Round t to the nearest ten. -70 Let z = -39880 + 40350.02. What is z rounded to the nearest one hundred? 500 Let t = -48110 - -48109.40699. What is t rounded to 1 dp? -0.6 Let l = 0.00341 - 28.02741. Let c = l - -28. Let q = c + 0.02400035. What is q rounded to 7 dps? 0.0000004 Let t(j) = 10*j - 65. Let h be t(7). Suppose -h*v = 25, -x - 4*v - 4473020 = -0*v. What is x rounded to the nearest one hundred thousand? -4500000 Let r be 5/((-70)/(-2746799996)) - 14/(-49). Suppose -25*s = -22*s + r. What is s rounded to the nearest 1000000? -65000000 Let h = 0.00034 - 7.87034. Let d = -0.63 + -0.1. Let z = h + d. What is z rounded to 0 decimal places? -9 Let m = -208 - -440. Let l = m - 154. Let v = l + -6.8. Round v to the nearest 10. 70 Let j be 374279993/(-1) - 23/((-598)/(-182)). What is j rounded to the nearest 1000000? -374000000 Let o = 100672 + -100671.99999914322. What is o rounded to seven decimal places? 0.0000009 Suppose 6*j + 97012024 = 2*q, 5*j = 2*q - 5358004 - 91654016. What is q rounded to the nearest 100000? 48500000 Let u(i) = -i - 12. Let f be u(-13). Let x be 3/f + 0 - -11. Let w = 14 - x. What is w rounded to the nearest integer? 0 Let p = 74.26999765175 + -74.27. Round p to 7 decimal places. -0.0000023 Suppose 0 = 771*k - 779*k - 34584000. What is k rounded to the nearest one million? -4000000 Let h be -2*(11 + -5 - 7). Suppose -h*i + 16252 = 4*j, -4*j + 40642 = -i + 6*i. What is i rounded to the nearest 1000? 8000 Let l = 0.06522 + -35.26522. Round l to the nearest 100. 0 Let i(m) = -21*m - 39. Let h be i(-2). Suppose -h = -d, 4*u - 6*u + d - 8823 = 0. Round u to the nearest 1000. -4000 Let c = 29227.99665 + -29136. Let y = c - 92. Round y to four dps. -0.0034 Let p(y) = 122999*y**3 + 2*y**2 - 1. Let r be p(1). Let i = 30 + -28. Suppose -q + r = -i*q. Round q to the nearest ten thousand. -120000 Let l = -718.0000002509 - -718. What is l rounded to 7 decimal places? -0.0000003 Let w = -2.075 - -54.991. Let t = -0.084 - w. Let f = t - -54.06. Round f to one dp. 1.1 Let x(k) = -17795*k**2 - 12*k + 148. Let a be x(-6). What is a rounded to the nearest 100000? -600000 Suppose -62*h + 76353 + 12324 = -65*h. What is h rounded to the nearest 1000? -30000 Let x = 170.5 - 3.5. Let y = 166.852 - x. Round y to 2 dps. -0.15 Let x = 9.75 - 16.6. Let a = -13.09 + x. What is a rounded to zero dps? -20 Let p = 6928 - 6927.96463. Let j = -9.2396 + 9.2. Let c = p + j. What is c rounded to four decimal places? -0.0042 Let x be ((-117336)/(-10))/((-10483)/(-550) - 19). What is x rounded to the nearest one thousand? 196000 Let a = -2630 - -2630.000002525. What is a rounded to 5 dps? 0 Let y = 270 - 888. Let w = 622.98 + y. What is w rounded to one dp? 5 Let z(n) = 123*n + 0*n**2 - 4 + n**2 - 124*n. Let w be z(3). Let y(u) = 4548*u**2 + 5*u - 2. Let q be y(w). What is q rounded to the nearest one thousand? 18000 Suppose s + 3187 = 4*m - 163, 3*m = s + 2513. Let d be (-1)/(5858/m + -7). Round d to the nearest one hundred. 800 Let p = 57497.1 - 61014. Round p to the nearest 10. -3520 Let o = 5168940.962 + -5168903.96200061. Let c = 80 + -117. Let g = o + c. Round g to 7 dps. -0.0000006 Let j = 0.085881102 + -0.0859. Round j to 6 decimal places. -0.000019 Let d be ((-9441480)/(-9) - 200/60)/(2/8). What is d rounded to the nearest one hundred thousand? 4200000 Suppose 4200626 = 13*v + 636416. Round v to the nearest ten thousand. 270000 Let c = -32.43889514 - -32.951905. Let j = 0.513 - c. Round j to 6 decimal places. -0.00001 Let b = -0.028 - 25.872. Let v = -379 + 396.5. Let j = b - v. Round j to zero dps. -43 Suppose -15*v - 99 = -26*v. Suppose -v*b - 766477 = -190477. Round b to the nearest 10000. -60000 Let g = -949100.9863 + 949145. Let x = 44 - g. Round x to 3 dps. -0.014 Let y = 11955 + -11992.77. What is y rounded to 0 decimal places? -38 Let p = 62801 - 63249.422. Let n = p + 472. Let z = -23.9 + n. What is z rounded to 1 decimal place? -0.3 Let x = -3358 + 44295. Suppose x - 238937 = -2*j. What is j rounded to the nearest 10000? 100000 Let r be 5/40*10 + (-35)/(-20). Let n be r*-1 - (16 - -951). What is n rounded to the nearest 10? -970 Let w = -0.6213189 + 0.6203. Round w to four decimal places. -0.001 Let r = -5209 + 5539.9. Round r to the nearest one hundred. 300 Let o = -100 - -100.622. Let w = -0.67325 + o. What is w rounded to two decimal places? -0.05 Let i(d) = -20 + 6132*d - 5939*d - 4450*d - 31003*d. Let k be i(18). What is k rounded to the nearest 100000? -600000 Let y = 630 - 311. Let p = 780 - y. Round p to the nearest 10. 460 Let m = 3.223 + -3.332. What is m rounded to 1 decimal place? -0.1 Let n = 177379 - 8944. Round n to the nearest 10000. 170000 Let r = 535877.412939062 - -1.671660938. Let b = r + -535857.08459943. Let n = 22 - b. Round n to seven decimal places. -0.0000006 Let h = -41963 - -76462. Let s = 33949.61 - h. Let u = s - -552. Round u to one decimal place. 2.6 Let m be (74/(-6))/((-4)/(-1788)*-1). Let y = -8693 + m. What is y rounded to the nearest one hundred? -3200 Let r = -787605 - -1547602. Let a be r/(-5) - (-3)/(-5). What is a rounded to the nearest 100000? -200000 Let i = -181435 + 181434.99912679. Round i to 4 dps. -0.0009 Let w = -1.59 + 1.743. Let c = w - 0.286. Let n = 0.13300079 + c. What is n rounded to 7 decimal places? 0.0000008 Let d = 295 + -294.823. Let l = d - 0.074. Let w = 0.102987 - l. Round w to six decimal places. -0.000013 Let g = -40991534 - -65058285. Let n = g - 15906751. What is n rounded to the nearest 1000000? 8000000 Let y = -112 - 195. Let b = 359.5 + y. Round b to the nearest integer. 53 Let x = 493779 - 493779.000238673. What is x rounded to six dps? -0.000239 Let q = 47354227 - 47354226.57900271. Let y = -943.579 - -944. Let s = q - y. Round s to 6 dps. -0.000003 Let h = 1.191527 - 1.1875. What is h rounded to 5 decimal places? 0.00403 Let h be 512/24 - (-2)/(-6). Let q = h + -22. Let w be -8 - -5 - -13900 - (q + -2). Round w to the nearest ten thousand. 10000 Let a = 11228 + -11189.195. Let v = 39.5 - a. What is v rounded to one decimal place? 0.7 Let j = -3
{ "pile_set_name": "DM Mathematics" }
2*12/8*(-10)/(-6)? 5 Calculate ((-6)/21)/(3*(-4)/(-28)). -2/3 Calculate ((-48)/(-6))/(-4)*3/6. -1 Evaluate ((54/(-24))/(-9))/((-14)/16). -2/7 What is (12/4)/((-189)/14)? -2/9 Calculate 60/(-72)*(-2)/((-3)/3). -5/3 Evaluate 25/(-10)*4/(-15). 2/3 What is the value of (-2)/(-5)*2/2*5? 2 What is the value of 3/(-6)*18/36? -1/4 What is (-7)/(-4)*-3*(-9)/63? 3/4 Calculate ((-8)/7)/(-2)*(-35)/(-5). 4 What is ((-7)/(-2))/((-469)/(-134))? 1 Calculate (-72)/54*1/(-8). 1/6 ((4/(-3))/(-2))/(98/(-84)) -4/7 ((-5)/10)/(13/39) -3/2 What is the value of (136/(-204))/(2*(-10)/(-3))? -1/10 What is (-4)/(-2)*4*2/(-4)? -4 Calculate 20/(-30)*(-9)/24. 1/4 ((-3)/(-2))/((-16)/32) -3 What is the value of ((-9)/105)/((-10)/50)? 3/7 Evaluate (-2)/(-20)*2*17/(-17). -1/5 What is the value of -1*7/(-42)*-30? -5 What is ((-4)/3)/(-8*12/(-144))? -2 Evaluate ((-5)/40*4)/(6/4). -1/3 What is the value of 4*(-4)/(-16)*5? 5 Evaluate (21/(-3))/(9/9). -7 Calculate (68/238)/(1*(-3)/42). -4 What is 5/(-76)*-2*4/(-5)? -2/19 Calculate 4/(1/(((-40)/(-8))/(-20))). -1 Evaluate (17*(-7)/(-357))/((-8)/(-6)). 1/4 Calculate (2*(-6)/4)/(6/4). -2 What is (2/(-4)*-2)/(7/(-35))? -5 Evaluate ((-144)/(-54))/(8/(-12)). -4 Calculate 6/(-20)*(-48)/(-36). -2/5 6/4*(-47)/(235/30) -9 What is -5*-6*(-3)/90? -1 Evaluate 72/(-420)*5/(-3). 2/7 Calculate ((54/(-24))/3)/((-3)/(-8)). -2 Calculate ((-72)/70)/(-6)*574/123. 4/5 Calculate (4/8)/(-3*2/4). -1/3 Evaluate ((-25)/2)/((-735)/294). 5 Calculate ((-5)/(-15)*0)/((-2)/1). 0 What is (20/30)/(-2*(-7)/6)? 2/7 (12/(-8))/((-24)/(-32)) -2 Calculate (30/350*5)/((-20)/14). -3/10 Evaluate -2*5/(-210)*-6. -2/7 43/(-129)*(-3)/2 1/2 What is 4/1*23/(-92)? -1 Calculate (1/1)/(3/(-6)). -2 Evaluate (0/4)/((-16)/((-32)/6)). 0 Evaluate 430/(-172)*(-4)/5. 2 ((-3)/10)/((-4)/(-16)*-3) 2/5 What is (-5)/(((-45)/(-6))/(-3))? 2 (2/2)/((-80)/560) -7 1/1*1/((-5)/(-25)) 5 What is the value of ((-6)/(-92)*24/18)/1? 2/23 (2/3)/(-6*(-4)/108) 3 What is the value of (40/100)/(4/(-15))? -3/2 Evaluate (12/(-6))/(3*16/(-6)). 1/4 What is the value of (((-3)/(-10))/3)/(138/230)? 1/6 Evaluate 30/3*(-7)/14. -5 Evaluate (-12)/9*(-2)/196*-21. -2/7 Calculate (-104)/156*(-6)/1. 4 Evaluate (51/85)/((1/1)/(-10)). -6 Evaluate ((-4)/10)/((-56)/80). 4/7 What is the value of (-4)/8*16*(-2)/(-4)? -4 (12/(-3))/((-4)/(-16)*4) -4 What is the value of (2/12*3)/(11/66)? 3 What is the value of ((-5)/20)/((-6)/(24/(-5)))? -1/5 Evaluate 1*0*(-11)/(-66). 0 (-1)/(-75)*4*95/38 2/15 What is 1*(22/(-66))/(1/9)? -3 Calculate -3*2/(-6)*(-96)/(-160). 3/5 (-3)/3*1/(-3)*0 0 Calculate (8/(-10))/(282/235). -2/3 Evaluate ((-4)/70*-1)/((-23)/(-161)). 2/5 What is 6*(600/(-45))/(-10)? 8 3/1*(30/63)/(-5) -2/7 What is the value of (2/((-4)/(-6)))/7? 3/7 What is -9*44/180*-5? 11 Evaluate ((-6)/18)/(((-5)/4)/5). 4/3 Evaluate (18/42*7)/((-12)/(-2)). 1/2 What is 1/((-2)/3*8/(-16))? 3 Evaluate (-1)/(((-49)/(-14))/7). -2 Calculate (-66)/(-429)*(-1)/1. -2/13 What is the value of (((-1)/10)/(8/48))/(-3)? 1/5 What is ((-333)/370)/(24/20)? -3/4 Evaluate 4/22*(-6)/(-6). 2/11 What is ((-8)/60)/((-4)/10)? 1/3 What is the value of (3/(-36))/((-49)/(-56))? -2/21 What is the value of 1/((90/70)/9)? 7 What is (-12)/9*(-90)/20? 6 What is the value of (-84)/144*(-5)/(-70)*4? -1/6 (((-2)/2)/(-4))/((-1)/(-8)) 2 ((-16)/(-6))/((252/27)/14) 4 Evaluate -20*(9/18)/((-2)/1). 5 What is (-8)/(-3)*(-750)/(-200)? 10 Calculate ((-7)/(28/(-24)))/(2/(-2)). -6 (1*(-2)/14)/(31/62) -2/7 5/(-4)*(-6)/45*-3 -1/2 What is (21/28*-4)/((-10)/(-2))? -3/5 Calculate (17/34)/(10/12). 3/5 What is the value of ((-14)/35)/((-1)/10)? 4 What is the value of (2/(-2)*18/30)/3? -1/5 What is (-9)/(24/8)*4/6? -2 What is the value of (-8*2/(-24))/((-2)/(-6))? 2 What is (5/((-25)/2))/(-2)? 1/5 ((40/(-6))/(-10))/(3/18) 4 Evaluate 10/135*9*1/1. 2/3 Calculate ((-405)/144)/(-15)*-4. -3/4 Evaluate 2*(9/6)/3. 1 What is ((-8)/7)/((-73)/((-14819)/174))? -4/3 What is (-1*2)/((121/(-11))/22)? 4 ((12/4)/6)/(1037/(-244)) -2/17 What is ((15/(-405))/(2/(-6)))/(-1)? -1/9 Calculate ((-2)/(-3))/((-200)/60). -1/5 ((-4)/6)/(11/99) -6 Evaluate (32/8)/((-14)/1)*-1. 2/7 What is the value of ((-1)/6)/((-1)/2)*-21? -7 Calculate (16/(-36)*6)/((-2)/(-3)). -4 What is the value of ((-40)/70)/(2/(-7))? 2 What is (-6)/(-33)*42/(-84)? -1/11 What is (2/(-44))/(44/176)? -2/11 What is the value of (48/(-8))/(20/2)? -3/5 Evaluate 10/(-6)*(-9)/3. 5 Calculate (0*(-3)/(-6))/4. 0 20/25*2/(-4) -2/5 Evaluate (-2)/(-4)*6*4/(-12). -1 What is (-2*6/18)/((-10)/(-105))? -7 Calculate (3/42)/((-2)/4). -1/7 What is (8/(-112)*-7)/(25/20)? 2/5 ((-5)/30*-10)/((-1)/(-3)) 5 Calculate (2/(-16))/((-2)/64). 4 Evaluate (23/161)/((-2)/(-4)). 2/7 Evaluate (13/26)/(1/(-2)). -1 Calculate -6*(-5)/(15/(-2)). -4 What is (180/54)/((-4)/6)? -5 Evaluate 15/6*(-56)/(-105). 4/3 What is the value of 12/600*10*35? 7 Calculate 7/((-84)/(-18))*(-3)/9. -1/2 Evaluate 6/(24/4)*-2. -2 What is the value of (16/24*-3)/15? -2/15 Calculate 0/(((-5)/(-2))/((-75)/(-60))). 0 What is (2/4)/(74/(-296))? -2 Calculate 6/18*10*4/60. 2/9 Evaluate (-16)/8*4/8. -1 Calculate (540/450)/(27/30). 4/3 Calculate 8/2*(-155)/(-310). 2 14/(-2)*6/(-6) 7 Evaluate (-33)/(-44)*(-1*16)/(-2). 6 What is 6/(-8)*-1*(-16)/30? -2/5 What is (8/4)/((-90)/(-9))? 1/5 Evaluate ((-24)/15)/((-140)/525). 6 What is (-60)/((-3)/1)*14/(-56)? -5 Calculate ((-1)/3)/((-3)/9). 1 54/99*(4/4)/(-2) -3/11 (22/(-6))/((-6)/288*-16) -11 What is the value of ((-5)/3)/((-50)/30)? 1 What is (14/189)/((-1)/(-6)*2)? 2/9 31/186*(-7)/((-35)/(-40)) -4/3 2/(-4)*13*6/117 -1/3 (-12)/10*45/(-108)*8 4 Calculate (-2)/(40/15)*8/(-21). 2/7 Calculate (((-24)/6)/(-2))/(-1). -2 What is the value of ((-8)/32)/((-1)/4)*-4? -4 What is the value of (-9)/3*32/32? -3 What is 138/(-23)*(-1)/27*-1? -2/9 What is 30/(-20)*2/3? -1 Evaluate (20/27)/2*621/1035. 2/9 Calculate ((-112)/980)/(((-8)/(-10))/(-2)). 2/7 ((-12)/(-4))/(30/20) 2 What is (3/2)/((-12)/40)? -5 What is the value of (-9)/3*((-7)/(-12))/7? -1/4 What is ((-6)/(-3))/((-6)/(90/5))? -6 Evaluate (-768)/48*(1/(-2))/(-1). -8 What is the value of (-30)/4*26/(-260)? 3/4 What is the value of 1*((-80)/45)/16? -1/9 Calculate 4*((-3)/24)/(12/72). -3 (275/(-55))/((-1)/1) 5 What is (4*(-5)/60)/((-4)/12)? 1 (2/(-7))/(3/(3*-7)) 2 What is (-1*(-1)/5)/((-9)/(-15))? 1/3 What is (-1)/(-13)*(-48)/24? -2/13 What is the value of (-8*3/(-12))/(-2)? -1 What is the value of 1*2/(12/(-30))? -5 Calculate ((-2)/(-10))/((-18)/45). -1/2 (162/144)/((-3)/(-16)) 6 What is the value of 4*6*3/72? 1 What is 16/(-6)*(-99)/(-44)? -6 What is the value of (-15)/9*11/11? -5/3 Calculate 2/((-48)/20*-10). 1/12 Calculate 1/(68/(-20))*(-16)/(-40). -2/17 What is (0*(-3)/(-12))/1? 0 Calculate ((192/21)/(-8))/(40/(-28)). 4/5 (-38)/(-57)*-3*(-1)/(-2) -1 3/(-18)*5*2/5 -1/3 What is the value of 1*75/(-6)*(-8)/20? 5 33/(-4)*1076/(-807) 11 What is the value of 5*((-56)/(-42))/4? 5/3 Calculate ((-4)/42)/((-5)/(-30)*-2). 2/7 ((-11)/154)/((-2)/8) 2/7 What is (-6)/(-8)*4*(-21)/(-36)? 7/4 What is the value of (0/26)/((-3)/(-6)*-2)? 0 Evaluate 2/(-4)*(780/(-50))/13. 3/5 Calculate (-2*(-24)/128)/(6/4). 1/4 Evaluate ((-6)/(-21))/(5/(-7)). -2/5 Calculate 56/(-21)*21/532. -2/19 Evaluate ((-24)/(-18))/(126/(-27)). -2/7 (((-10)/(-4))/(-5))/(14/35) -5/4 What is the value of -6*22/495*(-6)/8? 1/5 What is (1*5/15)/((-1)/9)? -3 What is (-2*(-2)/1)/(1/1)? 4 What is the value of (22/(-847))/((-1)/7)? 2/11 ((-32)/72)/((-1)/(-3)) -4/3 What is the value of (-6)/(-4)*12/(-63)? -2/7 What is (-4)/(-32)*-2*2? -1/2 Evaluate (8/(-2)*13/13)/(-4). 1 What is -20*2/(-32)*(-28)/(-7)? 5 Calculate (78/(-156))/(11/(-4)). 2/11 What is ((-1)/(-1))/(20/(-12))? -3/5 Calculate ((-5)/(-5))/(4/12*-1). -3 What is the value of -3*1*9/54*-1? 1/2 Evaluate 4/(-42)*(-29)/(377/(-78)). -4/7 What is (9*4*(-5)/(-40))/15? 3/10 Calculate 10/(-225)*-18*(-3)/(-2). 6/5 Evaluate (-2)/10*13/(-13). 1/5 What is (2/4)/(3/30)? 5 Calculate (-1)/2*((-144)/63)/(-4). -2/7 Evaluate (6/8)/((-18)/(-48)). 2 (11/(132/8))/((-6)/2) -2/9 Evaluate ((-61)/(-732))/(((-1)/6)/(-1)). 1/2 Calculate (-8)/(-16)*7*(-2)/5. -7/5 What is the value of (-3)/((264/32)/(-11))? 4 What is the value of 5*(-48)/(-80)*(-1)/(-2)? 3/2 4/(-7)*14/(-12) 2/3 Evaluate ((-60)/105)/((-6)/(-7))*9. -6 What is 57/(-171)*7/(7/6)? -2 Calculate ((-9
{ "pile_set_name": "DM Mathematics" }
2). Let c be (-1)/(-5) - 1/5. Suppose -2 = -y - c*y. Sort -3, y, d in descending order. y, -3, d Let x = 90 - 87. Put -1, -9, x in descending order. x, -1, -9 Suppose y = p + 4, 3*p - 4 + 6 = y. Suppose 2 + 8 = -y*t. Put t, -1, -4 in descending order. -1, t, -4 Let c = -119/3 - -40. Sort 2/3, -1/2, c in ascending order. -1/2, c, 2/3 Let n = -15 - -14.5. Put 0.1, n, -0.3 in descending order. 0.1, -0.3, n Let m = -343 + 6519/19. Let v = 148.8 + -172. Let b = 23 + v. Put m, -1/3, b in descending order. m, b, -1/3 Suppose 4*k - 54 - 34 = -5*g, -97 = -5*g - k. Suppose -w = -6*w + g. Put -5, 3, w in decreasing order. w, 3, -5 Let f = 1 + -0.1. Let m = f - 1.1. Sort m, 5/2, 2/13 in increasing order. m, 2/13, 5/2 Suppose 4*b + 3 = 2*d + 7*b, 2*d - b = -9. Sort 0, 2, d in decreasing order. 2, 0, d Let s be 12/(-8)*8/6. Let u be (-53)/(-11) + 4/22. Sort 3, u, s in descending order. u, 3, s Let s = -14 - -10. Let i be ((-11)/(-22))/(3 + -2). Sort -2, i, s. s, -2, i Let r = -0.1 - 0.2. Let h = 1 + 12. Suppose 5*n + h - 33 = 0. Sort r, -2, n in decreasing order. n, r, -2 Let r = -8.2 + 11. Let l = -0.8 + r. Put l, 1/3, -3/2 in increasing order. -3/2, 1/3, l Suppose y = -2*o - 2 - 1, 15 = 5*y - 5*o. Sort 0.17, 0.2, y in descending order. y, 0.2, 0.17 Let s(x) = x - 2. Let t be s(7). Put 2, -1, t in increasing order. -1, 2, t Let m(x) be the third derivative of -x**6/60 - x**5/15 - x**4/12 + x**3/6 - 3*x**2. Let s be m(-2). Put -2, s, 2 in decreasing order. s, 2, -2 Let f = 5.4 + -11. Let h = f - -6. Let n = -65/138 + -2/69. Sort -0.3, h, n. n, -0.3, h Let p(q) = 3*q + 1. Let z be p(1). Sort 3, z, -2/9, -4 in ascending order. -4, -2/9, 3, z Suppose -3*c = -2*a + 2*c, 2*a - 2*c = 6. Let k(j) = 3*j. Let v be k(1). Sort a, v, -2 in increasing order. -2, v, a Let u = -42 - -42. Suppose 2*z + 0*z - 6 = 0. Put z, u, -2 in decreasing order. z, u, -2 Suppose 0*t = 3*t + 9. Let x be 1/2 - t/(-4). Put x, 2/5, -1 in increasing order. -1, x, 2/5 Suppose -n - 12 = f - 5*n, n + 12 = 4*f. Suppose -2*o + 4*o - 2*q - 8 = 0, f*q = -3*o + 12. Put 0, 0.5, o in increasing order. 0, 0.5, o Let o(t) = t**2 - 9*t - 7. Let y be o(10). Sort y, -3/2, -7/3. -7/3, -3/2, y Suppose 2*i = -5*j + 29, j - 19 = -2*i - 2. Suppose 0 = y - 3*b + 13, -5*y + 6*b = 3*b + 29. Put 3, y, i in decreasing order. i, 3, y Let v be 7/2 + (-2)/(-4). Suppose -3*p + 3*r - 6 = -r, 2*r = 0. Sort v, -5, p. -5, p, v Let y = 20.5 - 21. Put -9, 1/4, y in descending order. 1/4, y, -9 Suppose j = -9*j + j. Sort j, 3, -3, -4 in decreasing order. 3, j, -3, -4 Let k = -14 - -14.5. Let j = 0 + -0.5. Put j, k, -0.4 in decreasing order. k, -0.4, j Let b be (-16)/9 + 2/(-9). Let x be (4 - 3)*(-2 + -3). Let s(g) = g - 2. Let h be s(4). Put b, x, h in increasing order. x, b, h Let t be 1/(1/(-4)*1). Suppose -2*p + 4*m + 4 = 0, -m + 6 = 3*p + 4*m. Sort -1, t, p in decreasing order. p, -1, t Let i = 25 + -21. Sort 1, i, 3 in increasing order. 1, 3, i Suppose -5*x - 2 = -6*x. Sort -4, x, 5 in ascending order. -4, x, 5 Let l = -22 + 26. Put 3, l, 2 in increasing order. 2, 3, l Let p = -0.37 + -0.03. Sort 1, p, -0.01, -3 in descending order. 1, -0.01, p, -3 Suppose -2 = -b - 0. Suppose 5*k = 10 + 5. Sort -2, b, k in increasing order. -2, b, k Let h(i) = 2*i**3 + i**2 - 2*i - 1. Let b be h(2). Let j be (-1)/(-513)*(-558)/b. Let l = j + 8/45. Put -2, l, 4 in increasing order. -2, l, 4 Let k be (36/8 - 0)*6. Suppose -23 = 5*d - i, k = -5*d + i - 2*i. Put d, 2/3, -0.3 in descending order. 2/3, -0.3, d Let w = 10 + -14. Let v be -1 + 3 + 16/w. Sort 3, v, -3 in ascending order. -3, v, 3 Let a(n) = -n - 2. Let d be a(-6). Suppose 2*z = z - d. Sort -3, 1, z. z, -3, 1 Suppose -3*a + 4*w - 6 = 2*a, -a - 5*w - 7 = 0. Put 4, a, 2, 25 in ascending order. a, 2, 4, 25 Let n = -14 + 20. Put -1, n, -2 in increasing order. -2, -1, n Let h(f) = -f**2 - 5*f - 1. Let l be h(-3). Suppose 0 = l*x - 0*x + 15. Put 4, x, -4 in descending order. 4, x, -4 Suppose -3*x - 11 = m, -3*m - 4*x - 10 = 3. Let h = 2.4 + -2. Let u = -1.4 + h. Sort u, -3/7, m. u, -3/7, m Let m = -2.4 - -2.6. Sort m, 15, -1. -1, m, 15 Suppose 2*t + 7 = -1. Let j be 1/((-2)/32*-4). Suppose -j*v + 6 = 5*k - 0, v + 3*k + 2 = 0. Put -1, t, v in increasing order. t, -1, v Suppose 0 = 4*a + 5*m - 29, -3*a - 4 = -m - 2. Suppose -1 = -4*b + l, 5*l + 19 + a = 5*b. Sort 4, b, 0 in increasing order. b, 0, 4 Let r = -19 - -23. Sort r, 1, 5, 0. 0, 1, r, 5 Let s be 34 - 4/(-6 + 4). Suppose 3*a + 4*r = 7*a - s, -13 = -5*a - 3*r. Let d(o) = o**3 + 7*o**2 + 7*o + 3. Let u be d(-6). Put u, a, -2 in descending order. a, -2, u Suppose -f = -1, 4*f + 7 - 3 = 2*o. Suppose 3*t + 8 = o*u, -6 = -0*u - 3*u. Let m be (42/(-70))/((-8)/(-10)). Sort m, -3, t in descending order. t, m, -3 Let f(x) = 21*x + 14. Let c be f(-6). Let p be c/21 - 2/(-6). Let n = 3.02 + -3. Put p, n, 0.4 in descending order. 0.4, n, p Suppose 1 = 3*j - 4*z + 8, -5*j - 27 = z. Let t be -7 - j - (-4 + -1). Put 1, -2, t in descending order. t, 1, -2 Suppose t + 15 = 6*t. Suppose 0 = n - g - t*g + 15, -3*g + 15 = 0. Suppose -2*u + 0 = 4, 3*u + 16 = 5*s. Put s, -3, n in decreasing order. n, s, -3 Let u = 16 - 15.3. Let d = u - -0.2. Let c = -0.4 + d. Sort 4, c, -2. -2, c, 4 Let s = 15 + -22. Let l = s + 11. Let m be -2*1*(-1)/3. Put 0.4, l, m in ascending order. 0.4, m, l Let j = -0.009 + -3.591. Put j, 5, -0.5, 0 in decreasing order. 5, 0, -0.5, j Suppose -f + 2*o = 5*o - 10, 3*f = 3*o - 30. Let a be 2/(6/4 - 2). Suppose -4*m = -10 - 10. Sort a, f, m. f, a, m Let u(i) = 2*i**2 + 2*i - 1. Let t be u(1). Suppose 0*a - 2 = -2*a. Put t, a, 5 in increasing order. a, t, 5 Let v be (9/(-21))/(45/6). Sort -1, -0.2, v in decreasing order. v, -0.2, -1 Let k be 2/(-4) - 10/(-4). Suppose 3 + 7 = -5*b. Sort k, -5, b. -5, b, k Let y be (-1)/2*(7 - 15). Sort -1, -4, y. -4, -1, y Let c = 96 + -191/2. Suppose -q = 4*w - 5*w + 4, 3*w = -q. Put q, -2, c in decreasing order. c, -2, q Suppose -5*n - 2 = 3. Let s(h) = -2*h**3 + 2*h + 1. Let i be s(n). Sort i, -1, 0 in decreasing order. i, 0, -1 Let h be (2/10)/(11/55). Put -3, 0, h, -4 in increasing order. -4, -3, 0, h Let p(t) = -t - 5. Let a be p(-4). Let v be -2*(2 + -3)/a. Let m = -5 - v. Sort -1, 3, m in increasing order. m, -1, 3 Let s = 6 + -19/3. Let f = 6 + -4. Suppose -h + f = -1. Sort h, s, -4/3 in descending order. h, s, -4/3 Let t = -70 + 77. Let j = 0.9 + 0.1. Sort t, j, -0.5 in descending order. t, j, -0.5 Let x = -14 + 16. Let u be 60/14 - (-6)/(-21). Suppose 5*g - u = 4*g. Put -5, x, g in descending order. g, x, -5 Let i(z) = -z**2 + 5*z + 2. Let v be i(5). Sort v, -4, 3 in descending order. 3, v, -4 Let c = -6 - -6. Suppose -5*q - 4 - 1 = c. Suppose 5*h - 3 - 2 = 0. Sort q, 3, h. q, h, 3 Let l = 13 + -92/7. Let z = -0.04 - 0.46. Put 3, l, z in decreasing order. 3, l, z Let r(t) = t**2 - 5*t - 1. Let g be r(6). Put -5, g, 3 in ascending order. -5, 3, g Let d = -5 - -10. Suppose 2*n - 4*n = 2*p, -d*n + 15 = 2*p. Sort p, 4, -4. p, -4, 4 Let v = -12.27 + 0.27. Let z = -14 - v. Let h = -3 + 2.8. Sort h, 0.2, z. z, h, 0.2 Let t(i) = 14*i**2 - 4*i - 3. Let y be t(-1). Sort 2, 3, -2, y in increasing order. -2, 2, 3, y Let r = 0.6 + -0.7. Suppose -q = 3*q. Suppose 3*p + p = q. Sort 1, p, r in increasing order. r, p, 1 Let z = -55 - -50. Sort z, 2, -1, -4 in decreasing order. 2, -1, -4, z Let k = -123.3 + 123. Let v be 2/(-3) - 5/(-6). Put -4, v, k in decreasing order. v, k, -4 Let t = -526 - -526.1. Let l = -389/3 + 131. Put -5, l, t in decreasing order. l, t, -5 Let d be 4/18 - (60/27)/4. Let r = -0.1 - -0.2. Put d, 0, r in descending order. r, 0, d Let k be ((-15)/(-10))/((-1)/2). Sort k, -2, 2 in descending order. 2, -2, k Let k = 335/4 + -83. Put -0.5, -2/27, k in descending order. k, -2/27, -0.5 Let c = 11 - -1. Let w = 8 - c. Let y = 17 - 17.4. Sort w, 3, y. w, y, 3 Suppose 536 = 5*l - 3*l - 3*y, 3*l - 3*y - 798 = 0. Let s = 2362/9 - l. Let v = -5 + 7. Sort v, 3, s in decreasing order. 3, v, s Let y be 18/15*(-4 + 14). Suppose 3*j + j = y. Sort j, -2, 5 in descending order. 5, j, -2 Let i be 10/25 + (-8)/(-5). Suppose -2*s - 5 - 1 = 0, -i*r - 13 = 3*s. Let u = -2 - r. Sort u, -5, -4. -5, -4, u Let c(k) = -7*k - 5. Let p be c(-1). Put -9, -5, p in increasing order. -9, -5, p Let y = -21 - -20.86
{ "pile_set_name": "DM Mathematics" }
.3 - 1.369? -1.669 What is 0.01227 minus 0.02? -0.00773 What is -18.812 plus -0.143? -18.955 What is 1 minus -872? 873 What is 4.6 take away -11.3? 15.9 -1 + -95 -96 What is 0.3 minus 235? -234.7 Add together 0.9 and 1127. 1127.9 Calculate -1.578 - -1.2. -0.378 Subtract 1 from -59. -60 What is -29 less than -75555? -75526 Put together 4 and -18.74. -14.74 What is -15300 take away 1.5? -15301.5 Sum -10076113 and -3. -10076116 Subtract -1777 from -0.14. 1776.86 Add -15583 and -70. -15653 Sum -0.148 and -245.9. -246.048 Add -14.08 and 0.9. -13.18 What is -0.5 less than 1411? 1411.5 Add 27.37482 and 5. 32.37482 -2+2530869 2530867 What is 4 - 2827742? -2827738 What is -26.892 - 5? -31.892 0.5 - 883.321 -882.821 Put together 3 and -4.5. -1.5 Put together -1.1312 and 0.6. -0.5312 What is -0.5 less than 0.414? 0.914 What is 0 - 2.9958? -2.9958 Calculate 0.85 - -1.35. 2.2 What is the distance between -1024.48 and -5? 1019.48 What is -0.084 take away -1359.9? 1359.816 Work out -0.0159 + -4. -4.0159 Sum 0.4 and 614254. 614254.4 What is the distance between -26340 and 263? 26603 937 - 0 937 What is -6 minus 952? -958 What is the distance between -23.8 and 325? 348.8 Work out -2062300 - -2. -2062298 What is -0.01958 minus -187? 186.98042 What is the distance between 0.971 and 0.0336? 0.9374 What is -0.3 + 80799? 80798.7 What is -5436 minus 608? -6044 Calculate -0.12 + 41164. 41163.88 Sum 0.23 and 0.1786. 0.4086 Subtract -21.068 from -5. 16.068 Put together -423.1 and -0.2. -423.3 0.4 - -9.7718 10.1718 What is -89912 - 0.3? -89912.3 Subtract -11.2 from -0.347. 10.853 Subtract -4 from 0.0325. 4.0325 Work out 2.6 + -131071. -131068.4 Calculate 700 - 0.1. 699.9 -0.28+1.9 1.62 What is the distance between 18 and 5795? 5777 What is -1.31 take away -1.09? -0.22 1.6 - 7.08066 -5.48066 What is 0.4 - 236? -235.6 What is -180 - 0.1317? -180.1317 Work out 29.5 + -47. -17.5 What is 2.001 take away 0.1? 1.901 What is the difference between 705 and -1? 706 What is the difference between -1 and 171.8? 172.8 Calculate 115305 + 0.7. 115305.7 Add together -14 and -255.3. -269.3 Calculate 75504 - 6. 75498 What is -0.3 minus 1.21? -1.51 Total of -44 and 0.030826. -43.969174 Add 39 and -1441. -1402 Calculate -5002 - 0.5. -5002.5 Total of -0.825 and -3. -3.825 What is 265 less than 0.022? -264.978 Total of 1.53 and 0.6. 2.13 Total of 174 and 4.35. 178.35 Subtract 19.825 from 0.01. -19.815 Calculate 4 + 0.116. 4.116 Add together -1 and 2925. 2924 What is 230 - -134.5? 364.5 What is -1794 + -1.4? -1795.4 Work out -0.06 + 297. 296.94 Sum -2.5 and 0.0015. -2.4985 Subtract -28 from -483. -455 0+-955594 -955594 Add 0.2 and -166.21. -166.01 Total of 1672.6 and 0.3. 1672.9 What is -0.5 plus 43744? 43743.5 Work out 266 - -1.4. 267.4 Calculate 42.764 - -1. 43.764 Add -28757 and 5. -28752 0.2 - 1417 -1416.8 What is 3 take away 154845? -154842 What is -0.38254 minus 0.1? -0.48254 Total of 37890.4 and 0.5. 37890.9 -0.062+55 54.938 Calculate 40 + 0.72526. 40.72526 What is the difference between 2767337 and 0? 2767337 What is -252.3 plus 3.3? -249 What is -119.97 plus 5? -114.97 What is 3 - -278.3? 281.3 Total of -447 and -4.03. -451.03 Calculate 479 + 9.27. 488.27 What is 1.06 - 90? -88.94 What is the difference between -34 and -142? 108 What is -27.3 - 0.01? -27.31 What is 0.0109 less than -24.2? -24.2109 What is -0.357 less than 241? 241.357 What is the distance between -1835 and -39? 1796 Sum 23.9 and 52. 75.9 -0.2294+0.02 -0.2094 Calculate 2.72 - 12. -9.28 30.748+-2 28.748 What is 0.3922 less than -19? -19.3922 Work out -22 - -30. 8 Total of 2.7 and -25764. -25761.3 What is 31 take away 2254? -2223 Put together -0.32 and 16.211. 15.891 Add together -1.17 and 9964. 9962.83 Put together -2237 and -3. -2240 Sum -0.4 and 0.437. 0.037 Work out -20 - -2.6572. -17.3428 Put together -159 and -0.066. -159.066 Put together -160 and 20. -140 Work out 0.5 + -43149. -43148.5 196115+0.3 196115.3 Calculate -66.8 - 3. -69.8 What is -3 take away -118.5? 115.5 What is the distance between 2.719 and -2? 4.719 What is -10.1225 plus 1? -9.1225 What is -1823 + -0.3? -1823.3 Put together -0.008 and -8977. -8977.008 Add together 333400 and 0.5. 333400.5 What is -140 plus -74? -214 Add together 0.12 and -2.866. -2.746 Subtract 0.77 from -0.32. -1.09 Put together 0.02069 and -3. -2.97931 What is 0.024 - 3633? -3632.976 What is 0.047 - 2.2? -2.153 Calculate -0.93 + 20558. 20557.07 Sum 2.6098 and 36. 38.6098 What is -79 less than 0.85966? 79.85966 What is -5 less than -3049? -3044 Add 1 and 32.7. 33.7 Total of -3 and 0. -3 4 - -250364 250368 Subtract 1234 from -0.3. -1234.3 What is 0 take away 5.335? -5.335 Work out -296 - -5. -291 -2+-18402 -18404 Subtract 1.1 from -8692. -8693.1 What is -15 plus -23865? -23880 Work out 0.2 - 15936.3. -15936.1 What is -238.5 + 491? 252.5 What is -6 + -0.2606? -6.2606 Work out 3 + 223. 226 What is 0.688 less than -0.2? -0.888 Total of -0.0427 and 3. 2.9573 Calculate 714 - 53. 661 What is 25 + 484? 509 Subtract -9 from 976. 985 Work out -12.136 + -5. -17.136 What is 0.9 - -132? 132.9 What is 16 minus 110? -94 Calculate -23302 - 2. -23304 Add 1.5 and -674. -672.5 Calculate 2 + -3.35. -1.35 What is -1.1 - 48.0035? -49.1035 What is -4 - -69.27? 65.27 Sum 0.0579 and -158. -157.9421 Add together -0.1 and -1.658. -1.758 -2191 + 45 -2146 Calculate -836 - -162. -674 0 + -49.2 -49.2 What is -0.001 - -1.713? 1.712 -15842 - -62 -15780 40.8104 + -0.07 40.7404 Calculate -0.3 - 289312. -289312.3 What is the distance between -2151 and -0.08? 2150.92 Sum 17.84 and -0.071. 17.769 -12172.87+-1 -12173.87 What is -0.4 - 1066? -1066.4 What is -1.37 + 3? 1.63 Calculate -0.2152 - -304. 303.7848 5+-453078 -453073 What is 0.05 take away -0.124? 0.174 Put together -2 and 1122. 1120 What is 3.834 + -3? 0.834 What is the distance between 10 and 3.44? 6.56 Work out -43263 - 1. -43264 Sum -0.5 and 3.38. 2.88 Sum -7 and -36.42. -43.42 What is -210127 - 0.1? -210127.1 Subtract 12450 from -4. -12454 Calculate -153.9 - 57.2. -211.1 Add -4 and -19478. -19482 Add -59.5414 and 0.4. -59.1414 -199.4 + 83 -116.4 Sum -0.3 and -123076. -123076.3 Sum -462 and -1. -463 Calculate 4407.2 - -0.66. 4407.86 Work out -2531 - -18.1. -2512.9 Subtract 0.04 from 0.0876. 0.0476 -7.7 - -1.049 -6.651 What is -0.4 plus -0.09554? -0.49554 What is -7 + -10857? -10864 What is 12.3757 plus 106? 118.3757 Sum -12.8 and 29. 16.2 Work out 1283 - -3574. 4857 What is the distance between 1 and 51805? 51804 Subtract 521 from -51. -572 Total of 956 and -1.34. 954.66 Calculate 50 + 394. 444 -5 - 2185.6 -2190.6 Add together -0.3 and 60.9. 60.6 What is 1.42 + 145? 146.42 Total of -5 and -11.5. -16.5 Add 200 and -0.02. 199.98 What is -49.839 take away 8? -57.839 Sum -5.1099 and 2. -3.1099 What is -13.7 + 21? 7.3 Calculate -28.157 - 0. -28.157 Sum -3 and 2758. 2755 What is -209 minus -12? -197 -9812 + -5 -9817 What is 2795.84 plus -3? 2792.84 What is 0.07 - -3.766? 3.836 What is the distance between 252 and 2206? 1954 What is -1.26 less than 0.5? 1.76 What is the distance between 6 and -279? 285 Sum -52554 and -1. -52555 Subtract -918.6 from -743. 175.6 What is -1383 take away 4? -1387 What is 885.8 less than -47? -932.8 Add together -54634 and 62. -54572 Put together 882.01 and -24. 858.01 What is 5.9 + -2? 3.9 What is 8228 less than 10? -8218 What is 1.5159 + -4? -2.4841 What is the distance between -623 and -9482? 8859 Calculate -10454 + -0.86. -10454.86 What is -152733 minus 1? -152734 56 - 3901 -3845 Calculate -0.4 - 5.006. -5.406 Add 0.7 and -3.18586. -2.48586 What is the distance between -415 and 0.1? 415.1 What is the difference between -0.0430047 and 0.2? 0.2430047 Subtract 361 from 0.03. -360.97 What is -3.08 minus -0.095? -2.985 What is 0.02892 take away 2? -1.97108 Add together -28 and -0.13872. -28.13872 Subtract -12 from 182. 194 What is -685.95 minus -0.4? -685.55 Work out -1 - 18604.7. -18605.7 What is -26384 less than 13? 26397 What is 74 take away 242? -168 What is 0.28 plus 9569? 9569.28 Calculate 4910 + -0.4. 4909.6 Calculate 873.2 + -0.167. 873.033 What is -576.994 take away -1? -575.994 What is 2.2 take away 382? -379.8 Calculate -0.1 - 0.0057. -0.1057 What is -271.8 + -80? -351.8 Total of -5 and -842802. -842807 What is -0.034 le
{ "pile_set_name": "DM Mathematics" }
07 Let t(u) = 309*u + 26888. Determine t(-87). 5 Let y(n) = -3*n**3 + 438*n**2 + 4183*n - 11. What is y(-9)? 7 Let p(y) = -432*y**2 - 2081*y - 7. Determine p(-5). -402 Let z(l) = 71806*l + 4595587. Determine z(-64). 3 Let v(s) = 11454*s - 57273. Determine v(5). -3 Let b(s) = -11*s**3 - 6*s**2 + 216*s - 417. Calculate b(2). -97 Let l(w) = -5*w**2 + 19234*w - 382702. Determine l(20). -22 Let v(d) = -4*d**3 + 29*d**2 + 137*d - 364. Give v(10). -94 Let j(x) = x**2 + 709*x - 87395. Give j(107). -83 Let k(r) = -591*r**2 - 56739*r - 310. What is k(-96)? -22 Let k(u) = -898*u + 34916. Give k(39). -106 Let g(z) = -3742*z**2 + 299350*z + 789. Determine g(80). -11 Let b(y) = 4489*y + 5181. Calculate b(-1). 692 Let p(l) = 25*l**2 + 2429*l - 821. Determine p(-97). -1209 Let q(c) = 423*c - 3773. Determine q(6). -1235 Let t(y) = 2*y**2 - 602*y - 7546. Give t(313). -34 Let p(l) = -2*l + 155. Calculate p(111). -67 Let s(o) = -o**2 - 1523*o + 9174. Calculate s(6). 0 Let i(m) = -5*m**2 - 14690*m - 44016. Calculate i(-3). 9 Let i(h) = h**3 - h**2 - 31*h - 6. Calculate i(-4). 38 Let a(q) = -12*q**2 + 128*q - 235. Give a(6). 101 Let t(i) = 41675*i - 16878388. What is t(405)? -13 Let w(j) = -2*j**2 - 747*j - 14810. Calculate w(-21). -5 Let i(t) = -3*t**2 - 471*t + 49427. Determine i(-229). -37 Let q(j) = -38*j**3 + 635*j**2 - 2164*j + 16. Calculate q(12). -176 Let v(f) = -f**3 - 22*f**2 + 388*f + 2181. Determine v(-32). 5 Let n(d) = -1787*d - 28545. Calculate n(-16). 47 Let m(v) = -v**2 - 44*v + 807. Calculate m(20). -473 Let n(d) = -3*d**3 + 39*d**2 + 311*d - 4033. Give n(13). 10 Let m(t) = 284*t - 23144. Determine m(89). 2132 Let m(r) = -5633*r + 642167. Give m(114). 5 Let i(y) = y**3 - 31*y**2 - 172*y + 1891. Give i(6). -41 Let x(t) = -77*t**2 - 8776*t + 247. What is x(-114)? 19 Let v(u) = -18256*u + 118. Calculate v(0). 118 Let n(x) = -2*x**3 - 404*x**2 + 22817*x - 291. Calculate n(-248). -539 Let y(v) = -4*v**2 + 475*v + 4587. Determine y(-9). -12 Let x(q) = -q**2 - 14263*q - 14260. Give x(-1). 2 Let j(l) = -571*l + 4009. Calculate j(8). -559 Let h(d) = 26*d**2 + 17359*d + 28638. Determine h(-666). 0 Let v(x) = 10683*x - 341774. Calculate v(32). 82 Let u(p) = 417*p**2 - 552522*p - 3954. Calculate u(1325). 21 Let u(o) = -2*o**2 + 22980*o + 621922. What is u(-27)? 4 Let t(q) = 2*q**3 + 84*q**2 - 13*q + 5. Determine t(-5). 1920 Let w(i) = i**2 + 192*i - 2876. Determine w(14). 8 Let u(s) = 16*s + 488. Calculate u(-5). 408 Let i(c) = 523*c + 6276. Calculate i(-10). 1046 Let i(p) = -2*p**3 + 100*p**2 - 177*p - 508. Calculate i(48). 212 Let k(y) = 79*y - 19412. Determine k(211). -2743 Let s(v) = -52*v**2 - 6896*v - 41360. Calculate s(-6). -1856 Let w(x) = x**3 - 3*x**2 + 931*x - 1854. What is w(2)? 4 Let k(s) = 4249*s - 356926. Give k(84). -10 Let w(b) = -47*b**3 + 133*b**2 + 34*b - 34. Determine w(3). -4 Let p(m) = -6*m**2 - 3657*m + 25905. Determine p(7). 12 Let m(r) = 2*r**2 + 565*r + 6576. What is m(-271)? 343 Let s(a) = a**2 + 241*a + 13440. What is s(-156)? 180 Let c(l) = -2*l**2 + 210*l - 3897. What is c(27)? 315 Let b(z) = -2*z**2 - 255*z - 6281. Determine b(-94). 17 Let c(x) = x**3 - 88*x**2 - 2288*x + 86. Determine c(-21). 65 Let g(u) = -6948*u - 48636. What is g(-7)? 0 Let l(w) = 22*w**2 - 875*w + 308. Calculate l(39). -355 Let k(i) = 33*i**2 + 28*i + 41. What is k(-7)? 1462 Let m(n) = -4*n**3 - 18*n**2 + 7218*n + 28910. Determine m(-4). 6 Let k(d) = 12912*d + 8057089. Calculate k(-624). 1 Let d(h) = -3*h**3 - 35*h**2 + 115*h + 782. Calculate d(-13). -37 Let c(w) = w**2 - 75*w - 3033. Give c(26). -4307 Let q(b) = 853*b + 6992. Determine q(-8). 168 Let x(m) = 3*m**3 + 102*m**2 - 58*m - 5423. Determine x(-33). -242 Let q(o) = 3*o**3 + 157*o**2 + 71*o + 242. Determine q(-52). -746 Let c(r) = -r**3 - 62*r**2 - 572*r - 1263. Determine c(-7). 46 Let g(w) = 732*w + 6774. Determine g(-9). 186 Let b(r) = 189*r - 8601. Calculate b(51). 1038 Let y(l) = -223538*l + 1341218. Calculate y(6). -10 Let y(d) = -d**3 - 73*d**2 + 729*d + 118. Determine y(-82). 856 Let t(w) = -5032*w - 64573. What is t(-13)? 843 Let g(y) = 187298*y - 7866544. Determine g(42). -28 Let g(u) = 7*u**2 - 735*u + 18190. What is g(40)? -10 Let a(q) = -2467*q**2 + 19743*q + 8. Determine a(8). 64 Let k(n) = 266*n**3 - 2653*n**2 - 59*n - 101. Calculate k(10). 9 Let k(s) = 133*s**2 - 5074*s + 766. Calculate k(38). 6 Let f(l) = -12950*l - 1269091. Calculate f(-98). 9 Let s(a) = 9*a**3 + 127*a**2 - 109*a - 868. Calculate s(-14). 854 Let q(d) = -969162*d + 4845821. Give q(5). 11 Let t(v) = v**3 - 70*v**2 - 638*v + 35583. Give t(72). 15 Let s(n) = -102*n**2 + 85*n + 13279. What is s(-11)? 2 Let k(t) = t**3 - 30*t**2 - 579*t + 17830. Give k(27). 10 Let t(v) = -19*v**2 - 53*v + 6576. Calculate t(-20). 36 Let f(x) = -7494499*x + 52461489. Give f(7). -4 Let j(u) = -4220*u + 62795. Determine j(15). -505 Let v(u) = u**3 - 90*u**2 + 1140*u - 3642. Determine v(5). -67 Let c(h) = -h**3 - 269*h**2 + 276*h + 1622. Give c(-270). 2 Let a(z) = -z**3 + 10*z**2 + 171*z + 1274. Calculate a(21). 14 Let f(x) = -127*x**2 + 14141*x + 9278. What is f(112)? -18 Let g(n) = -378*n + 780. What is g(4)? -732 Let s(d) = -2*d**3 - 129*d**2 - 122*d + 4792. Give s(-63). 571 Let d(y) = -667*y**2 - 3346*y + 196. Give d(-5). 251 Let r(o) = -9369*o - 46814. What is r(-5)? 31 Let h(s) = 1466*s + 2972. Calculate h(-2). 40 Let o(t) = 34928*t - 104798. Give o(3). -14 Let l(h) = -2338*h + 63008. What is l(27)? -118 Let r(i) = -i**3 - 265*i**2 - 11077*i - 254. Determine r(-213). -41 Let y(p) = -530*p + 35541. Determine y(67). 31 Let z(b) = 447*b - 21284. What is z(47)? -275 Let y(j) = 8236*j**2 - 32941*j - 6. Give y(4). 6 Let v(z) = -1424*z - 78217. Calculate v(-55). 103 Let t(p) = p**3 - 389*p**2 + 2287*p + 4196. Calculate t(383). -17 Let y(a) = -a**3 - 13*a**2 - 154*a - 2536. Determine y(-22). 5208 Let k(v) = 6*v**3 - 30*v**2 + 318*v + 1252. Calculate k(-3). -134 Let z(c) = -30106*c - 2468687. Calculate z(-82). 5 Let x(w) = -24*w**2 + 15*w + 40. Give x(4). -284 Let d(c) = 542*c + 20920. What is d(-39)? -218 Let d(q) = 41*q**2 + 2587*q - 11002. Give d(4). 2 Let u(v) = 29*v - 3830. Determine u(122). -292 Let y(v) = v**3 - 2*v**2 - 34*v + 95. Give y(-6). 11 Let g(r) = -7*r**2 - 245738*r - 737224. Give g(-3). -73 Let n(s) = s**3 + 58*s**2 - 9384*s + 1720. Calculate n(72). -8 Let i(n) = -962*n + 43065. Give i(45). -225 Let o(q) = -3*q**3 - 2*q**2 - 26*q + 43. Calculate o(-5). 498 Let b(k) = k**3 + 41*k**2 - 29*k + 403. Calculate b(-42). -143 Let s(k) = 73*k**2 - 521*k + 504. Calculate s(6). 6 Let n(f) = 7*f**2 - 1249*f + 36204. What is n(142)? -6 Let g(r) = 2929*r**2 - 11717*r + 10. What is g(4)? 6 Let d(k) = -7*k**3 + 1892*k**2 - 9787*k - 4770. Calculate d(265). 0 Let d(q) = 17*q**2 + 2334*q + 11251. Give d(-5). 6 Let a(h) = 3*h**3 - 106*h**2 + 69*h - 288. Determine a(35). 902 Let q(t) = t**3 - 55*t**2 - 55*t + 5900. Determine q(54). 14 Let a(n) = -8*n**3 + 76*n**2 + 146*n + 10. Determine a(11). 164 Let m(u) = -306*u - 871. Determine m(-5). 659 Let z(d) = 33*d**3 + 3962*d**2 + 232*d - 1099. Calculate z(-120). -139 Let a(h) = 63*h**2 - 575*h - 1155. Calculate a(-2). 247 Let j(t) = 148*t**2 - 3072*t + 7341. What is j(18)? -3 Let a(b) = -140*b + 4564. Calculate a(40). -1036 Let c(a) = -2435*a - 30763. What is c(-13)? 892 Let i(d) = 2*d**3 + 28*d**2 - 187*d + 66. Calculate i(-19). 9 Let w(u) = 9*u**2 - 235*u + 618. Give w(3). -6 Let t(a) = 12*a**3 - 2953*a**2 + 14700*a + 238. What is t(241)? -3 Let o(d) = 3*d**3 - 729*d**2 + 1510*d - 15548. Determine o(241). -124 Let i(o) = -204*o**3 + 12446*o**2 - 127*o + 313. Calculate i(61). 8 Let p(g) = 784*g + 5936. Calculate p(-7). 448 Let h(d) = 29*d**3 - 259*d**2 - 1311*d + 3. Give h(-5). -3542 Let i(z) = 2*z**2 + 96*z - 5117. Calculate i(32). 3 Let o(s) = -2*s**3 + 171*s**2 - 665*s + 7460. Determine o(82). -2 Let o(q) = 3667*q - 355701. What is o(97)? -2 Let p(b) = -7582*b - 90955. What is p(-12)? 29 Let y(c) = -c**3 - 88*c**2 - 1152*c + 3901. What is y(-71)? -4 Let f(c) = 64254*c + 1542100. Give f(-24). 4 Let q(c) = 837252*c + 18419550. Determine q(-22). 6 Let q(j) = 24750*j + 32026504. Give q(-1294). 4 Let c(j) = -13345*j - 17395. What is c(-1)? -4050 Let w(h) = 268*h**2 + 3078*h - 35. What is w(-12)? 1621
{ "pile_set_name": "DM Mathematics" }
- 65 = 5*w - 88. Let b(h) = -2*h + 11. Calculate a*b(o) - 5*n(o). o - 3 Let c(j) = -10*j**2 - j + 2. Let a(r) = 41*r**2 + 7*r - 3621. What is a(w) + 4*c(w)? w**2 + 3*w - 3613 Let g(b) = -51*b - 502. Let p(t) = -6*t - 1. What is g(w) - 8*p(w)? -3*w - 494 Let b(z) = z**3 - 17*z**2 + z - 1. Let u(t) = 4*t**3 - 441*t**2 + 3*t - 5. What is 5*b(q) - u(q)? q**3 + 356*q**2 + 2*q Let x(h) = 411*h**3 - 45*h**2 - 288. Let d(u) = 82*u**3 - 9*u**2 - 60. Give 24*d(m) - 5*x(m). -87*m**3 + 9*m**2 Let v(r) = -819*r**3 - 3*r**2 + 6*r - 6. Let z(g) = -g**2 + 2*g - 2. Give -v(f) + 3*z(f). 819*f**3 Let y(i) = 4*i + 1. Let o(g) = 103*g**2 + 26*g + 1. Give o(s) - 6*y(s). 103*s**2 + 2*s - 5 Let l(s) = -20*s - 22. Let j be l(-1). Let r be 9 + (j - -1) - 6. Let d(f) = 3*f + 13. Let y(z) = z + 4. Calculate r*d(w) - 7*y(w). -w - 2 Let r(v) = -14*v - 32. Let u(d) = -7*d - 22. What is 2*r(b) - 5*u(b)? 7*b + 46 Let h(u) = -808*u**2 - 10*u - 10. Let v(j) = 2424*j**2 + 32*j + 32. Determine -16*h(y) - 5*v(y). 808*y**2 Let q(d) = -5577*d + 432. Let f(o) = 7436*o - 562. Give -10*f(l) - 13*q(l). -1859*l + 4 Let z(i) = 7*i**2 + 5*i. Let u(r) be the third derivative of 1/60*r**5 + 1/24*r**4 + 13*r**2 + 0*r**3 + 3 + 0*r. Calculate -20*u(m) + 4*z(m). 8*m**2 Let h(c) = 3235*c + 9. Let y(f) = 25*f - 3. Determine -h(o) - 3*y(o). -3310*o Let t = 10905 - 10899. Let s(b) = -11*b**3 + 5*b**2 - 2*b + 3. Let z(j) = -12*j**3 + 6*j**2 - 2*j + 3. Calculate t*z(g) - 7*s(g). 5*g**3 + g**2 + 2*g - 3 Let a be (5 + 0/(-1))/(-1). Let j(q) = -q + 11. Let y(r) = 3*r - 23. Suppose -1505 + 1561 = -28*p. Determine a*j(w) + p*y(w). -w - 9 Let k(c) be the first derivative of c**2 + 5*c - 75. Let l(s) be the second derivative of s**3/6 + s**2 + 25*s. Calculate 4*k(b) - 9*l(b). -b + 2 Suppose -11 = 37*d + 26. Let a(s) = -1. Let g(h) = -7*h**2 - 13*h + 1. Let t(k) = 4*k**2 + 7*k. Let c(f) = -6*g(f) - 11*t(f). Calculate d*c(r) + 4*a(r). 2*r**2 - r + 2 Let y(a) = -3*a**3 - 4*a**2 + 22. Let w(t) = 4*t**2 + 1. Give w(q) - y(q). 3*q**3 + 8*q**2 - 21 Let t(k) = -68*k - 102. Let s(v) = 17566*v - 1 - 5860*v - 5855*v - 5852*v. Calculate -102*s(i) + t(i). 34*i Let i(f) = -5*f + 2. Let x(o) = 53622*o - 19860. Determine 9930*i(b) + x(b). 3972*b Let s(q) = -6*q**2 - 11*q. Let w(h) be the third derivative of -h**6/120 + h**5/12 + 5*h**4/12 + 817*h**2 + 2. Give -5*s(l) - 6*w(l). 6*l**3 - 5*l Let i(l) = -3*l**2 - 2619*l - 3. Let j(n) = 4*n**2 + 2618*n + 4. Give -3*i(w) - 2*j(w). w**2 + 2621*w + 1 Let o(i) be the first derivative of 3*i**4/4 - 5*i**3/3 - 3*i**2/2 + 4*i - 115. Let w(h) = h**3 - 2*h**2 - h + 2. Calculate -2*o(q) + 5*w(q). -q**3 + q + 2 Let b(u) = -6237792*u**2. Let v(l) = -4219*l**2. Determine -5*b(s) + 7392*v(s). 2112*s**2 Let n = 3 - 12. Let p(r) = 16 + 7*r - 107 + 18 + 16 + 35 + 20. Let c(g) = 27*g - 9. Calculate n*p(a) + 2*c(a). -9*a Let h(l) = 29359*l**2 + 33*l + 33. Let f(v) = -1835*v**2 - 2*v - 2. Determine 33*f(c) + 2*h(c). -1837*c**2 Let u(n) = -16*n. Let p(t) = -55*t - 12. Let f(z) = -4681*z - 1023. Let d(o) = -4*f(o) + 341*p(o). Give -6*d(g) + 13*u(g). -22*g Let u(n) = -27*n**2 + 13*n + 2. Let m(k) = -13*k**2 + 6*k + 1. Let t be (65/(-13))/((-3)/(-5)) + (-4)/(-3). Give t*m(x) + 3*u(x). 10*x**2 - 3*x - 1 Let f = 2147 + -2144. Let i(l) = -l + 1. Let u(h) = -3*h - 2. What is f*i(y) + u(y)? -6*y + 1 Let w(m) = -223*m - 3. Let n(c) = -13*c. What is 12*n(f) - 3*w(f)? 513*f + 9 Let u(r) be the first derivative of 5*r**3/3 + r**2/2 + 6*r + 1168. Let s(w) = 14*w**2 + 4*w + 17. What is -4*s(f) + 11*u(f)? -f**2 - 5*f - 2 Let c(z) = 2*z**3 + 2*z**2 - 9*z - 6. Let g(x) be the third derivative of x**6/30 + x**5/15 - 17*x**4/24 - 11*x**3/6 - 1747*x**2. What is 11*c(y) - 6*g(y)? -2*y**3 - 2*y**2 + 3*y Let n(c) = -2*c - 6. Let v(p) = -472*p + 34. Give -6*n(i) - v(i). 484*i + 2 Let w(s) be the first derivative of s + 7. Let o(c) be the first derivative of -c**3/3 + 3*c**2/2 - 4*c - 69. Give -o(b) - 4*w(b). b**2 - 3*b Let y(k) = -246*k**3 + 12*k**2 + 3*k. Let a(d) = -2*d**2. Calculate -6*a(x) - y(x). 246*x**3 - 3*x Let d(u) = 1125337*u + 14055. Let a(c) = 961*c + 12. Calculate 4685*a(m) - 4*d(m). 937*m Let c(j) = 14*j**3 + 16*j**2 + 2*j + 1. Let g(f) = 27*f**3 + 31*f**2 + 5*f + 2. Calculate -5*c(y) + 2*g(y). -16*y**3 - 18*y**2 - 1 Let r(d) = 11*d**2 - 73*d**3 + 70*d**3 - 6*d**2 - 39 + 3*d + 2*d. Let q(n) = -5*n**3 + 8*n**2 + 8*n - 58. Determine 5*q(g) - 8*r(g). -g**3 + 22 Let m(o) = -2*o + 8. Let b(j) = 6*j - 23. Let i = 31 - 17. Let d(z) = -12*z - 11. Let w be d(-2). Suppose -w*p + i*p - 17 = 0. Calculate p*m(v) + 6*b(v). 2*v - 2 Let p(v) = -2*v**2 - 2*v - 1. Let w(n) = -93*n**2 + 6*n - 24. What is -4*p(g) - w(g)? 101*g**2 + 2*g + 28 Let w(a) = -11*a. Let m(u) = u. Let n(j) = -j. Let g(h) = 6*m(h) + n(h). Let k(o) = -2*o - 48. Let x be k(-9). Let s = x + 21. Calculate s*g(y) - 4*w(y). -y Suppose 4*f = -4*r + 24, -2*f = r - 4*r + 8. Let w(l) = 170 + 271 - 442. Let d(p) = 2*p + 1. Give r*w(a) - d(a). -2*a - 5 Let i(v) = -8*v**3. Let r(d) = d**2 + 769*d - 10171. Let p be r(13). Let f(h) = -88*h**3. Let n = 105 + -49. Give n*i(c) + p*f(c). -8*c**3 Let a(x) = -82*x**2 - 46*x + 42*x**2 + 9 + 41*x**2 - 20. Let q(h) be the first derivative of -9*h**2/2 - 2*h + 7. What is -2*a(w) + 11*q(w)? -2*w**2 - 7*w Suppose -5*b + 6*b + 10 = 0. Let w be (5/b)/(125/(-30) - -4). Let r(d) = -3*d**2 + 2. Let k(j) = -j**2 + 1. Determine w*r(c) - 6*k(c). -3*c**2 Let g(x) = -6*x**2 - 550*x - 67. Let k(r) = 2*r**2 + 183*r + 19. Calculate -2*g(y) - 7*k(y). -2*y**2 - 181*y + 1 Let x(g) = -g**3 + 3*g**2. Let f(z) = -4*z**3 + 9*z**2 + 696*z + 2. Determine -f(d) + 3*x(d). d**3 - 696*d - 2 Suppose 82 = -15*g - 33 + 25. Let x(b) be the third derivative of -b**5/60 + b**3 - 5*b**2. Let c(o) = -2*o**2 + 7. Give g*c(a) + 7*x(a). 5*a**2 Let z(v) = 25*v + 4. Suppose 217 = -17*q + 200. Let n(u) = 1. Determine q*z(o) + 3*n(o). -25*o - 1 Let t(i) = 6*i + 1. Let z(k) = -5*k - 1. Let c = 1989 - 1984. Calculate c*t(s) + 4*z(s). 10*s + 1 Let y(u) = u**3 - 6*u**2 + 15*u - 31. Let z = -510 + 514. Let j be y(z). Let m(s) = -1. Let d(t) = 9*t - 3. What is j*m(k) + d(k)? 9*k Let z(h) = 3*h**3 - 6*h**2 + 2*h. Suppose -12*b = -12*b + 3*d, -3*b = 5*d + 18. Let i(f) = 3*f**3 - 5*f**2 + f. Give b*i(c) + 5*z(c). -3*c**3 + 4*c Let k(u) = -8*u**2 - 6*u - 1. Let q(i) = i. Suppose -25*t + 58 = 89 + 119. Let o(d) = -d. Let f be o(1). Determine f*k(p) + t*q(p). 8*p**2 + 1 Let p(y) = 19*y - 6*y + 20 - 17*y + 1. Let v(d) = 3*d - 20. Give -5*p(h) - 6*v(h). 2*h + 15 Let s(i) = 3*i**2 - 4*i - 4. Let d be 0 + ((-2)/1 - -4). Suppose -4*m - 15 = y, y + 7 = -d*m - 0*y. Let g(w) = w - 1 - 2 - 1 + 5. Calculate m*g(q) - s(q). -3*q**2 Let r(p) = -15*p**2 - 9*p. Let v be r(3). Let z = -161 - v. Let f(k) = k**2. Let j(s) = 4*s**2 + 2*s - 3. Give z*j(c) - 2*f(c). 2*c**2 + 2*c - 3 Let o(u) = -u - 3. Let k = 64 + -67. Let v be 9/(((-17)/6 - k)*-3). Let j(p) = 4*p + 13. Give v*o(y) - 4*j(y). 2*y + 2 Let x(k) = 6737*k**2 + 32*k. Let v(t) = -192893784*t**2 - 916232*t. Give 4*v(y) + 114529*x(y). 6737*y**2 Let q(r) be the third derivative of r**5/60 - 5*r**4/24 + 5*r**3/6 - 66*r**2 + 2*r - 1. Let g(b) = -3*b**2 + 10*b - 11. Give -3*g(p) - 7*q(p). 2*p**2 + 5*p - 2 Suppose 0 = -3*a + 59 + 1. Let o = a - 15. Let g(n) = 11*n - 5. Let u(l) = 5*l - 2. Let x(y) = 3*g(y) - 5*u(y). Let t(z) = z - 1. Calculate o*t(v) - x(v). -3*v Let z(n) = 6*n**3 + 3*n**2 + 6*n - 2. Suppose -3*o = -2*b + 7, -314*o + 317*o + 5 = b. Let x(g) = -13*g**3 - 7*g**2 - 12*g + 4. What is b*x(y) + 5*z(y)? 4*y**3 + y**2 + 6*y - 2 Suppose 23 - 31 = 21*j + 97. Let m(w) = w + 4. Let z(h) = h + 3. Determine j*m(d) + 6*z(d). d - 2 Let j(s) = 1. Let t(a) = 6*a - 12. Let p(y) = 3*y - 6. Let z(f) = -7*p(f) + 4*t(f). Let h(q) = -18*j(q) - 3*z(q). Let k(v) = 8*v. What is -4*h(x) - 3*k(x)? 12*x Let t(a) = -a**2 - 23*a + 2. Let b(u) = -2*u**3 + 3*u**2 + 60*u - 131. Determine -b(j) - 2*t(j). 2*j**3 - j**2 - 14*j + 127 Let c(f) = -9845123*f**2 + 14072*f + 42216. Let j(r) = 3498*r**2 - 5*r - 15. Calculate 5*c(w) + 14072*j(w). -1759*w**2 Let w(k) = k - 6. Let i(m) = 1. Let z = -9 - -12. Let h be 1 + 2 + (-2 - -3). Suppose -a = -v - 2, h*a - v - 1 = -4*v. Give a*w(n) + z*i(n). n - 3 Let k(r) = -1. Let c(w) = 10707 - 10707 - 18*w. Determine -c(g) - 2*k(g
{ "pile_set_name": "DM Mathematics" }
base 15, what is 12 + ab2c? ab3e In base 13, what is 34a3 + 3? 34a6 In base 10, what is 53515 - -35? 53550 In base 15, what is -3007 + -bb? -30c3 In base 15, what is -164ac6 + -1? -164ac7 In base 15, what is 2 - -13eb? 13ed In base 16, what is 1 + 192299? 19229a In base 13, what is 656 - 6c? 5b7 In base 11, what is 0 - a0a6a? -a0a6a In base 13, what is 11 + 7046? 7057 In base 7, what is 1 + 4256051? 4256052 In base 6, what is 10 + -502034? -502024 In base 13, what is 772 - -5? 777 In base 9, what is -87465 + 4? -87461 In base 13, what is -1ca + -19? -216 In base 4, what is 2232032 - 301? 2231131 In base 8, what is 50 - 2725? -2655 In base 15, what is -2a + 5ae? 584 In base 11, what is 8 - -55923? 55930 In base 12, what is 1b90 - -8? 1b98 In base 3, what is 2 + -121121002? -121121000 In base 10, what is 1344 + -27? 1317 In base 8, what is -31455 + 27? -31426 In base 6, what is 12 - -135543? 135555 In base 7, what is -40505 - 4? -40512 In base 15, what is 3 + -195bc? -195b9 In base 15, what is 1ed - -728? 926 In base 9, what is 48653 + 7? 48661 In base 6, what is -1204 - 1123? -2331 In base 12, what is 5 + -19894? -1988b In base 7, what is -133162451 - 1? -133162452 In base 4, what is -13 - -212322? 212303 In base 14, what is -4b98 + -104? -4c9c In base 7, what is 15 - 143413? -143365 In base 2, what is 1101110100001110 + -11? 1101110100001011 In base 11, what is -1532 + 72? -1470 In base 3, what is -11020112010012 - 2? -11020112010021 In base 13, what is 220a62 - 5? 220a5a In base 10, what is 31 - 2508? -2477 In base 12, what is 2 - -496b4? 496b6 In base 14, what is 2b1a + -4b? 2aad In base 4, what is -12212 - -1022? -11130 In base 11, what is 2 + -12278? -12276 In base 2, what is 1010 - -1000101010101? 1000101011111 In base 7, what is -356 - -23? -333 In base 15, what is -8 + -15b0? -15b8 In base 2, what is 1100011010000001 - 1? 1100011010000000 In base 7, what is 1242 + -66? 1143 In base 15, what is -1c002c + -2? -1c002e In base 7, what is 6565 + -14? 6551 In base 5, what is -4 + 330032? 330023 In base 10, what is -6749 + 9? -6740 In base 6, what is 0 - 1243134? -1243134 In base 3, what is 12 - 101210? -101121 In base 11, what is -107849 + 0? -107849 In base 16, what is -a1b - -653? -3c8 In base 14, what is 1764 - 0? 1764 In base 14, what is 2 + 3072? 3074 In base 9, what is 138244 - -5? 138250 In base 13, what is 9164bc + -5? 9164b7 In base 9, what is 580277 - 0? 580277 In base 6, what is -2 + -43334? -43340 In base 3, what is 20 + 21021211201? 21021211221 In base 7, what is -2142105 - 2? -2142110 In base 7, what is -1043 + 354? -356 In base 5, what is -30321331 + 10? -30321321 In base 6, what is -152420555 + 0? -152420555 In base 8, what is 27 + 26417? 26446 In base 3, what is -200200101212 + -2? -200200101221 In base 5, what is -343214 + -20? -343234 In base 2, what is 11110000 + 1111111111110? 10000011101110 In base 11, what is -130260 - 4? -130264 In base 10, what is -4 - -7421? 7417 In base 14, what is -128901 + 4? -1288db In base 5, what is -214 - 2432? -3201 In base 2, what is -110 + -101110111011100000? -101110111011100110 In base 14, what is 537b3 - 5? 537ac In base 4, what is 3202220 + -102? 3202112 In base 8, what is 5050 - 207? 4641 In base 16, what is 1 - 1052a? -10529 In base 6, what is 120304 + 2? 120310 In base 14, what is 2 + 26b20? 26b22 In base 11, what is 255 + -16? 23a In base 8, what is -656 - -55? -601 In base 11, what is 11222 - 1? 11221 In base 3, what is 2210100000 + -22? 2210022201 In base 12, what is -4 - -29494? 29490 In base 6, what is -31 + -133335? -133410 In base 3, what is -22100202102 + 0? -22100202102 In base 8, what is 277 + 1067? 1366 In base 11, what is 1 - 93a3? -93a2 In base 2, what is -10001111110010 + 111011? -10001110110111 In base 9, what is 10868 + -7? 10861 In base 11, what is -34 + -257? -290 In base 2, what is 11 - -111100000000111? 111100000001010 In base 11, what is -17949 - 1? -1794a In base 4, what is -1223031 + 110? -1222321 In base 13, what is 24c1 + 2? 24c3 In base 2, what is -111010000 + -1001? -111011001 In base 2, what is -1011001010100 + -10011? -1011001100111 In base 2, what is 10 - 101000101110100111? -101000101110100101 In base 3, what is 2 - -2000020021? 2000020100 In base 3, what is 210200 + -21020021? -20102121 In base 7, what is 1 - 434223? -434222 In base 8, what is 11 + 2175? 2206 In base 10, what is -89965 + 2? -89963 In base 7, what is 16 - -1451311? 1451330 In base 15, what is -7595a - -2? -75958 In base 12, what is 371 - -65? 416 In base 11, what is 538001 + -5? 537aa7 In base 15, what is 2c8e - b? 2c83 In base 2, what is -11010111 - 11001101000? -11100111111 In base 14, what is 63 + 34d2? 3555 In base 10, what is -1 - -119279? 119278 In base 2, what is 101100 + 1100111100001? 1101000001101 In base 12, what is -13 + -3088? -309b In base 12, what is 8b8bb - -4? 8b903 In base 11, what is -29 - 4536? -4564 In base 3, what is 111 + 20122120? 20200001 In base 4, what is -2 - -3302331? 3302323 In base 5, what is -12341313 + 323? -12340440 In base 8, what is -31 - 2053? -2104 In base 6, what is 15 - -142335? 142354 In base 11, what is -4 - 54342? -54346 In base 16, what is b3d + 2af? dec In base 14, what is 2 + 1d5b0d? 1d5b11 In base 2, what is 100001 + 1001100110? 1010000111 In base 11, what is 37 - 92? -56 In base 2, what is 110111 - -101000100? 101111011 In base 4, what is 213 - -21201? 22020 In base 11, what is 298593 + 0? 298593 In base 15, what is -7 - 608? -610 In base 3, what is 1012000010 + -11? 1011222222 In base 7, what is -1 + 104511? 104510 In base 14, what is ca + -191? -a5 In base 3, what is -121022010021011 + 2? -121022010021002 In base 11, what is 7 + -34a39? -34a32 In base 15, what is 5 + -28b4? -28ae In base 16, what is -967 + -7? -96e In base 14, what is 1 - -56b1c? 56b1d In base 14, what is 118bd + 8? 118c7 In base 7, what is 6 + -225433? -225424 In base 9, what is -232218 - -1? -232217 In base 4, what is 212 + -30021? -23203 In base 7, what is -26 - -14324? 14265 In base 3, what is 1021 - -20102112? 20110210 In base 9, what is -207205 + 7? -207187 In base 16, what is 4 - 15126? -15122 In base 10, what is -21591 - 11? -21602 In base 3, what is 0 + 2200112102? 2200112102 In base 2, what is 1010010 - -111110110110000? 111111000000010 In base 15, what is -49b9 + -2e? -49e8 In base 9, what is 21 - 1450? -1428 In base 2, what is -101 + 101001000001011000100? 101001000001010111111 In base 14, what is b79 + -132? a47 In base 14, what is 27c5 - -56? 283b In base 11, what is 61 - 495? -434 In base 8, what is 5 - 606562? -606555 In base 16, what is -99c + -18? -9b4 In base 15, what is -572 + 2e? -543 In base 11, what is 5 - 26849? -26844 In base 14, what is 169c + -28? 1674 In base 2, what is 10001 + 1000000000101000000? 1000000000101010001 In base 8, what is 17 - -63315? 63334 In base 3, what is 22121 - 20? 22101 In base 9, what is -1327 - -21? -1306 In base 12, what is -618 - -147? -491 In base 4, what is 23320102 + -3? 23320033 In base 3, what is 1222101002 - -10? 1222101012 In base 12, what is -56a99 - -3? -56a96 In base 4, what is -11 + 220223? 220212 In base 2, what is 10011111 - 11101011? -1001100 In base 10, what is 3 - 40225? -40222 In base 9, what is 1558 + 553? 2222 In base 6, what is 1220 - 1010? 210 In base 7, what is -3 - 2313635? -2313641 In base 12, what is 2435 - 12? 2423 In base 9, what is -203 - 721? -1024 In base 13, what is 2 + -14bca? -14bc8 In base 4, what is 10 + 222132? 222202 In base 8, what is 3 + 136133? 136136 In base 12, what is 132 + 1628? 175a In base 8, what is -2013671 + -3? -2013674 In base 8, what is -7 + -4316244? -4316253 In base 7, what is 5152406 - 1? 5152405 In base 3, what is -111 - 1211211122? -1211212010 In base 5, what is -14400 + 2323? -12022 In base 10, what is 11 + -594? -583 In base 9, what is -11 + 64? 53 In base 13, what is -19a71 + -9? -19a7a In base 12, what is 4 + -13757? -13753 In base 14, what is 6 - -db6? dbc In base 15, what is e838 - -2b? e864 In base 6, what is 43053 - -31? 43124 In base 7, what is -1111 - 1143? -2254 In base 4, what is -3 - -332003? 332000 In base 4, what is -11 - 1202011310? -1202011321 In base 11, what is 25a1 + 27? 2618 In base 11, what is -8 + -8a67? -8a74 In base 2, what is 100 +
{ "pile_set_name": "DM Mathematics" }
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1903 What is the fourth root of 10281 to the nearest integer? 10 What is the third root of 3322909 to the nearest integer? 149 What is 1652994 to the power of 1/3, to the nearest integer? 118 What is the third root of 16585115 to the nearest integer? 255 What is 945626 to the power of 1/8, to the nearest integer? 6 What is the eighth root of 1602803 to the nearest integer? 6 What is the square root of 2602125 to the nearest integer? 1613 What is 1235887 to the power of 1/3, to the nearest integer? 107 What is 262410 to the power of 1/2, to the nearest integer? 512 What is 578840 to the power of 1/3, to the nearest integer? 83 What is the third root of 139192 to the nearest integer? 52 What is 855724 to the power of 1/9, to the nearest integer? 5 What is 162130 to the power of 1/8, to the nearest integer? 4 What is 508132 to the power of 1/2, to the nearest integer? 713 What is the sixth root of 129274 to the nearest integer? 7 What is the cube root of 1961762 to the nearest integer? 125 What is the third root of 331668 to the nearest integer? 69 What is 1770050 to the power of 1/2, to the nearest integer? 1330 What is the third root of 69850 to the nearest integer? 41 What is 347525 to the power of 1/3, to the nearest integer? 70 What is the cube root of 3655759 to the nearest integer? 154 What is the sixth root of 4688441 to the nearest integer? 13 What is 155162 to the power of 1/2, to the nearest integer? 394 What is the cube root of 4455 to the nearest integer? 16 What is 332277 to the power of 1/8, to the nearest integer? 5 What is 228950 to the power of 1/5, to the nearest integer? 12 What is the seventh root of 55514 to the nearest integer? 5 What is the seventh root of 258424 to the nearest integer? 6 What is the cube root of 2290221 to the nearest integer? 132 What is the square root of 2678002 to the nearest integer? 1636 What is the square root of 187980 to the nearest integer? 434 What is the third root of 3125329 to the nearest integer? 146 What is the square root of 2432519 to the nearest integer? 1560 What is the square root of 74482 to the nearest integer? 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{ "pile_set_name": "DM Mathematics" }
et z be j(-2). Let o(a) = a**2 - 5*a - 1. Let i be o(-9). Suppose 0 = 2*q + 3*r - 35 - 13, -5*r = z*q - i. Is 9 a factor of q? True Let b(l) = -l**2 - 9*l + 12. Let d be b(-10). Does 6 divide 3 - (-1 + (-6 - d))? True Suppose -5*g + 240 = 3*v, 0*v - 110 = -3*g + 5*v. Does 15 divide g? True Let i(n) be the first derivative of -n**2/2 + n - 1. Does 2 divide i(-4)? False Let o be (-20)/28 + 4/(-14). Let a = o - 0. Let u = 31 + a. Is 10 a factor of u? True Let w(m) = m**2 + 8*m + 25. Is 24 a factor of w(-11)? False Let u(w) = -w + 3. Let a be u(-4). Let b(d) = 18 - d + 5*d + 3 - 11. Is b(a) a multiple of 10? False Suppose -3*z = -518 - 10. Is z a multiple of 11? True Suppose -5*r + 5 = 0, -5*s + 5*r = -10 - 5. Let b(c) = c**2 - 4*c + 4. Let l be b(s). Suppose -70 = -l*y + 94. Does 11 divide y? False Suppose 0 = 7*s - 3*s - 48. Let g be 2 - (-1)/(1/1). Let a = s - g. Is 6 a factor of a? False Let f = 44 - 31. Is 13 a factor of f? True Does 11 divide (0 - 66/(-9))/(8/12)? True Let n be 68/11 - (-6)/(-33). Let b(q) = q**3 - 5*q**2 - 3*q - 3. Is 15 a factor of b(n)? True Suppose 296 = 5*o - 544. Is o a multiple of 12? True Let u(m) = 16*m**2 - 7*m + 2. Is u(2) a multiple of 18? False Suppose 14*t = 15*t + 2. Is (t + -10)/((-1)/1) a multiple of 4? True Let g(b) be the second derivative of b**5/10 - b**4/12 - b**3/2 + b**2 - 3*b. Let c be 2*2/(-4) + 3. Is 7 a factor of g(c)? False Suppose 5*g = 3*g + 152. Is 19 a factor of g? True Let y = -194 + 274. Does 3 divide y/(-12)*(-3)/2? False Let n(c) = 3*c**2 + 2*c - 2. Let g be n(-2). Suppose 3*x = g*x. Suppose 3*a + a - 100 = x. Is 13 a factor of a? False Suppose 2*z - 6 = -4*t, 5*t - 6*t = -3*z + 23. Is 3 a factor of z? False Suppose 0*h + h = 0. Suppose -2*g + 57 + 23 = -5*w, h = g + w - 26. Is g a multiple of 10? True Suppose 11*j = 8*j + 120. Is j a multiple of 10? True Suppose 18*a - 25*a = -763. Is a a multiple of 43? False Suppose -3*b = -b + 156. Let f be (6/8)/((-1)/4). Does 13 divide 0/1 + b/f? True Let s = 43 - 2. Is s a multiple of 14? False Let h be 1 + -3 + (3 - 2). Is (255/10)/(h/(-2)) a multiple of 17? True Let d(a) = -1 + 7*a**2 + 4*a - 3*a**2 - a**3 + 2*a**3 + 4. Let y be d(-2). Does 8 divide (-4)/((y/(-2))/3)? True Suppose 0 = 3*z - 225 + 69. Does 26 divide z? True Let l = -2 + 6. Suppose 0 = -l*y - 3*f + 80, -2*y + 3*f + 80 = 2*y. Is y a multiple of 6? False Let j(w) = -w**3 + w**2 + 3*w - 2. Let x be j(2). Let y = -1 - x. Let n = 17 + y. Is 8 a factor of n? True Suppose -2*l = -12 - 24. Does 18 divide l? True Let x(s) = -2*s - 5. Let j be x(-4). Suppose -j*h + 14 = -h. Let f = 1 + h. Does 4 divide f? True Let l(i) = -2*i**3 - 4*i**2 + 4*i + 4. Is 13 a factor of l(-4)? True Let y = 6 - 4. Let q = y - -27. Suppose 4 = -4*n, 4*p = 2*p + n + q. Is p a multiple of 14? True Let r(y) = -y + 10. Let l be r(7). Is 2 a factor of 4 - 3 - (2 - l)? True Suppose -5*p + 0*l + 2*l + 125 = 0, -3*p + 2*l = -75. Suppose 4*m + m - p = -3*i, 2*m + 21 = 5*i. Suppose -i*y - x = -50, 3*x = -2*y + 22 + 11. Does 4 divide y? False Let b(y) = 3*y - 7. Let c(l) = -2*l + 3. Let x(o) = o**2 - o + 1. Let t be x(4). Let p(g) = t*c(g) + 6*b(g). Is 21 a factor of p(-3)? True Suppose -2*p + 1728 = 492. Is 15 a factor of 1/(-2) + p/12? False Suppose -4*c = -s - 7, 0 = 5*c - s - 2*s. Let f = c - -18. Is 7 a factor of f? True Suppose 2*g = 5*n - 2, -g - g + 4 = -2*n. Suppose 4*w = n*w. Suppose w = -d - 3*d + 80. Is d a multiple of 10? True Suppose -5*z = 2*c - 18, 5*z + c - 26 = -7. Is z a multiple of 2? True Suppose 0 = -4*d + r + 5, -4*r + 6*r = -d + 8. Is 0/(-4) - (-124)/d a multiple of 17? False Suppose 4*t = -3*u + 2, 2*t - 3*u - 6 = -2*u. Let j(s) = -3*s - t*s**2 - 2*s**2 - 4*s**3 - 2 + 0*s**3. Is 20 a factor of j(-2)? True Let v(j) = j**3 - 8*j**2 - 5*j - 13. Is 23 a factor of v(9)? True Let y(m) = m**3 + 9*m**2 + 5*m. Let l be y(-7). Suppose -3*x = -4*x + 29. Let s = l - x. Is s a multiple of 14? False Let i(j) = 4*j**2 - 5*j - 5. Is 7 a factor of i(-2)? True Suppose 0 = k + 4, -5*k = -5*b + 3*b + 6. Is (b/14)/((-2)/48) a multiple of 4? True Let k(d) = -d**3 + 4*d**2 + 2. Let s be k(2). Suppose 29 = 3*h - s. Is 4 a factor of h? False Let m(w) = 4*w. Let v be m(-1). Let u be (-3)/12 - 9/v. Suppose u*z - 15 = 19. Does 16 divide z? False Let k = -3 + 9. Is 16 a factor of (-2)/(-6) + 286/k? True Let c(s) = 2*s - 1. Let a(j) = -j + 1. Let l(o) = -4*a(o) - 4*c(o). Suppose -25 = 3*g - 4*i, -8*g - 4*i + 1 = -3*g. Is 10 a factor of l(g)? False Let l be 0 - (1*-74)/1. Let r = -49 + l. Is 16 a factor of r? False Let k(a) = -26*a + 8. Is 14 a factor of k(-2)? False Suppose -4*a - 7*t + 3*t = -28, 5*a - t - 17 = 0. Let o = a + -1. Suppose 9 = o*d - 21. Does 10 divide d? True Let i(p) = 8*p + 8. Let c(q) = 1. Let w(g) = -g - 1. Let h(t) = c(t) + w(t). Let x be h(-7). Is i(x) a multiple of 23? False Suppose 5*u - 8*u + 45 = 3*c, 4*u - 5*c = 87. Is u a multiple of 5? False Let p be (-2 - (-1 + 0))*-6. Suppose 35 = p*t - t. Does 7 divide t? True Suppose 0 = -2*b + a + 3*a - 12, 0 = -a + 2. Is 3 a factor of 1/(b - (-13)/6)? True Does 25 divide ((-16)/6)/(3/(-90))? False Suppose -l + 36 = -3*r - 3*l, -16 = r + 2*l. Let x be (-5)/r - 2/4. Suppose x - 6 = -2*p + 2*a, 3*p + 3*a - 39 = 0. Is 8 a factor of p? True Suppose 4*n - c - 10 = 20, -c = 3*n - 19. Does 19 divide (n/(-1))/(3/(-24))? False Let i(l) = l + 1. Let f = 14 + -5. Is 6 a factor of i(f)? False Let p = 32 - 50. Suppose 26 = 2*w - 26. Let r = w + p. Is r a multiple of 4? True Let r = 44 + -10. Suppose -3*h + r = -23. Does 18 divide h? False Let d = -13 + 31. Does 8 divide (1 + d - 1) + -2? True Let w = -20 + 38. Suppose 0 = 7*v - 3*v. Is 8 a factor of w + -4 + v + 2? True Let d(b) = -b**3 - 2*b**2 + 6*b. Is 28 a factor of d(-6)? False Suppose 0 = -0*p + 5*p + 15. Let m = p - -35. Is m a multiple of 16? True Let r(o) = 4*o**2 + 7*o + 6. Does 7 divide r(-4)? True Suppose 0 = 2*q - q - 35. Suppose 20 = w + 2*u, 3*u - q = w - 3*w. Is 10 a factor of w? True Suppose 4*f - 130 = 66. Does 28 divide f? False Does 16 divide -3*43/(-6)*2? False Suppose -48 = -m + 5*m. Let a = m - -33. Is 6 a factor of a? False Suppose 15 = -3*x, 0*k = k - x - 31. Does 26 divide k? True Let n be (7 + -8)/(1/15). Let g = n - -23. Does 3 divide g? False Let f = -290 + 450. Does 40 divide f? True Let a be 3/((3 + -4)*-1). Suppose -a = -2*q + q. Suppose -88 = -4*i + 4*p, -2*i = -q*p - 67 + 25. Is i a multiple of 8? True Let g(x) = -2*x**2 - x + 2. Let d(i) = i - 4. Let n be d(2). Let q be g(n). Is 17 a factor of q/(-6)*(-348)/(-8)? False Let z = 112 + -66. Is 23 a factor of (0 - z/3)*-3? True Suppose -10*l - 9 = -11*l. Is 9 a factor of l? True Let u = 21 - 16. Is 3 a factor of u? False Let i = -21 - -48. Suppose h - 31 - 26 = 0. Let x = h - i. Is x a multiple of 16? False Let a = 1 + 58. Is a a multiple of 10? False Let v = -4 + 7. Is 3 + (102/v - -1) a multiple of 13? False Let p(k) = -k**2 - 5*k + 8. Let d be p(-6). Let y = 6 + d. Is y a multiple of 6? False Let g = -8 + 6. Let s(d) = -5*d + 2. Does 6 divide s(g)? True Let l(p) = -2*p**3 + 2*p**2 - 2*p - 5. Let d(g) = 6*g + 4 + 4*g**3 - 4*g - 2*g**3 - 2*g**2. Let q(v) = 5*d(v) + 4*l(v). Is q(2) a multiple of 6? True Suppose 0*n + 408 = 6*n. Is n a multiple of 12? False Let p(h) = 2*h**3 + h**2 + 2*h - 2. Does 12 divide p(3)? False Let d(o) = 2*o**2 - 17*o + 6. Let k be d(13). Let h be 0 - (0 - k/3). Let f = h + -25. Is f a multiple of 16? True Suppose 2*h + 52 = m + 3*h, 0 = -m + 5*h + 52. Let a = 11 + m. Does 17 divide a? False Suppose 11*g - 288 - 3100 = 0. Is 44 a factor of g? True Suppose 22 + 18 = -4*w. Let l = 14 - w. Is l a multiple of 10? False Suppose -3*r + 229 = -5*q, -2*r + 2*q + 2*q = -152. Does 18 divide r? False Let k be 2/5 - 1218/(-30). Let i be 4/((-4)/3)*-9. Let c = k - i. Is 7 a factor of c? True Let v(s) = s**2 - 3*s + 2. Let i be v(3). Is (3 + 14*i)*1 a multiple of 11? False Let w = 27 - 27. Suppose w = 5*a - 5*x - 90, 2*x + 5 = 5*a - 91. Is a a multiple of 10? True Let d be -18*(-2)/4*2. Suppose 3 = q + d. Let c = 27 + q. Does 12 divide c? True Let l(v) = v**3 - 23*v**2 + 27*v - 40. Is 22 a factor of l(22)? False Let q(y) = -5*y - 1. Let u be q(-4). Let l = -9 + u. Is l a multiple of 10? True Suppose 2*g - 1 - 3 = 0. Suppose -5*x
{ "pile_set_name": "DM Mathematics" }
t f be 2 + -4 + z/(-1). Solve m + m + 10 = f for m. -5 Let j be (1926/535)/(3/10). Suppose -2*b = -15 - 1. Solve b*a + j = 4*a for a. -3 Let w be -4*(10 + 510/(-40)). Solve -8*t + w*t = -6 for t. -2 Let y = -11 - -9. Let a = 7 + y. Suppose k = -a*j + 4*k - 5, -j + 22 = 4*k. Solve -2 - 6 = j*t for t. -4 Suppose -3*z - 1 = 2*p - 12, p + 5*z = -12. Let a be (-1 + p)*2/4. Suppose -4*o = -7*o + a. Solve -4*v = -o*v + 2 for v. -1 Let f = -728 - -732. Let o be -2*(-1 + 6/(-3)). Suppose 0 = -2*z + o. Solve -f*t = -z*t for t. 0 Let k(i) = i + 33. Let u be k(-11). Let c = -21 + u. Solve 0 = h + 3 - c for h. -2 Suppose -2*l + 5*x - 92 = 0, 4*l + 7*x = 2*x - 124. Let i = 39 + l. Let b = 1 + 3. Solve b*m + i = -9 for m. -3 Suppose -832 = -50*k + 518. Solve -24*w + 15 = -k*w for w. -5 Let x be -2 - -6*(4 - 3). Suppose 2*h - s = 3*s - x, -2*s + 2 = 4*h. Suppose 4*a - 12 = -4*p, 2*p + h*a - 2*a = 10. Solve p*c + c + 20 = 0 for c. -4 Let r(f) = f - 8. Let i be r(4). Let h be 1*(-6)/i*-4. Let y be ((-8)/h)/((-10)/(-45)). Solve -q = q - y for q. 3 Suppose 5*w - 59 = -4*z, w + 2*z + 2*z + 1 = 0. Let y = 25 - w. Solve 0 = 4*d - y - 2 for d. 3 Let b = 42 - 21. Let h = b + -6. Suppose 4*f - h = 5. Solve 0 = l - f*l for l. 0 Let v(z) = -z**3 - 12*z**2 - 28*z - 70. Let w be v(-10). Solve 3*o = w*o + 28 for o. -4 Suppose 0 = 2*o - 0*n - n - 434, -3*o + 650 = -n. Let f be 1032/o + 4/18 + 0. Solve f*j + 3 + 17 = 0 for j. -4 Let n(x) = -x**3 + 9*x**2 + 2*x - 9. Suppose -2*q + 0*q = -18. Let w be n(q). Let j be (-2)/w*(-1 - 8). Solve -c - j*c = 12 for c. -4 Let a = 9 - 29. Let i be 41/4 - (-5)/a. Suppose -f = f - i. Solve -8 = -f*u + 12 for u. 4 Suppose -j + 5*s = -5*j + 36, -2*s = 0. Solve j*p - 6 = 6*p for p. 2 Let z(a) = 11*a - 3. Let y(g) = -10*g + 2. Let d(q) = 5*y(q) + 4*z(q). Let j be d(-1). Solve c + 2 - j = 0 for c. 2 Suppose 0 = w - 2*l - 5, 2*w + 5 = 3*w + l. Suppose z = u + w*z - 20, 0 = 2*u + 3*z - 25. Solve -3*g + u*g = -5 for g. -1 Suppose 0*z - 4*g - 23 = -z, -4*z + g + 17 = 0. Solve -z*d - 3 + 3 = 0 for d. 0 Let s(j) = 5*j**2 + 84*j - 83. Let m be s(1). Solve 29 = -23*c + m for c. -1 Suppose -s = 2*s + b - 120, -5*s = -2*b - 200. Let k be s/35 - (-2)/(-14). Solve -3*x + 4*x - k = 0 for x. 1 Let s = 710 - 691. Solve -23 = -y - s for y. 4 Let d(w) = -w**2 + 19*w - 14. Let a(p) = -p**3 + 8*p**2 - 6*p + 3. Let j be a(7). Let g be d(j). Let k = g - 51. Solve 0 = 4*f + f - k for f. 5 Suppose 5*n - 7 = -4*f, 2*f - 4*n = -9*n - 9. Suppose 2*p + 5*z - 63 = 0, -3*z - 121 = -4*p - f. Let g = p + -29. Solve -d - 2*d - 12 = g for d. -4 Let p = 104 - 101. Solve 8 = -m + p*m for m. 4 Suppose 11 = 3*j + 4*c, c + 1 = -4*j + 7*j. Let p = 0 - -6. Let h be 26/p + 2/3. Solve -j = -t - h for t. -4 Let c = 159 + -159. Solve -i + 2 + 0 = c for i. 2 Let k = 2271 + -2271. Solve k = -7*r - 35 + 49 for r. 2 Suppose -5*l + 10 = 2*k, 27 = 3*k - 2*l - 26. Let h = -13 + k. Suppose 4*x = 12, 5*f + h*x - 17 = 4. Solve f*t - 5*t = 10 for t. -5 Let x be ((-126)/(-49))/((-6)/(-56)). Let c = x + -24. Solve 2*g - g = c for g. 0 Suppose u + 4*u = 80. Suppose u = 6*v - 2*v. Suppose -v*i + 64 = -p, -4*i = i + 5*p - 55. Solve -7*c + 2*c = -i for c. 3 Let r = 920 - 868. Solve 10*s + r = -3*s for s. -4 Let i(g) = -g**3 - 5*g**2 - 5*g. Let q be i(-4). Suppose -5 = -t + 4. Let k be 2 + 1 + t + -10. Solve -2*z = -q*z + k for z. 1 Let s be 0/((-2 + -1)*-1). Suppose 0 = 3*h - 4 - 8. Suppose -14*m + 13*m = -h. Solve s*a - m = 2*a for a. -2 Suppose w + 1 = 3. Let x(h) = h**2 - 9*h - 35. Let d be x(12). Let b(j) = 4*j**3 + 3*j**2 + j - 2. Let p be b(d). Solve k = -w*k - p for k. -2 Let b be (-2 - 120/(-14)) + (-8)/14. Suppose 10*t = -b*t + 32. Solve t*r = r - 3 for r. -3 Let h(c) = c**3 + 13*c**2 + 34*c + 46. Let v be h(-10). Solve v*l + 4 = 8*l for l. 2 Let x(g) = 3*g**2 - 5 - 10*g**2 - 3*g + 11*g + g**3 - 2. Let q be x(6). Suppose 0*m - 97 = -q*m + 3*c, 39 = 3*m + 3*c. Solve 0 = 5*h - 8 - m for h. 5 Let d = -38 - -38. Suppose -4*u + u - 9 = 0. Let x = d - u. Solve 2 = -x*t + 2*t for t. -2 Let f be ((-2)/(-4))/((-1)/(-12)). Suppose -v + 4 = 2*j, -2*v - 1 = -4*j + 5*j. Suppose 3*u = 3*o + j, 3*u = -4*o - u + 28. Solve -5*r = -o*r + f for r. -3 Let j(z) = z**2 - 12*z - 13. Let k be j(13). Suppose 5*f + 32 = 22. Let m be k/(-3 - (f - 3)). Solve m = -7*v + 4*v for v. 0 Let c(o) = -o**2 - 6*o - 1. Let i be c(-5). Suppose -i*t = 66 + 42. Let l be 6/t - 10/(-45). Solve l = k + 2*k - 3 for k. 1 Suppose 0 = 4*d - 29 + 9. Let o(w) = -3*w - 6. Suppose 3*k + 6 = -3. Let n be o(k). Solve n*s - d = -2 for s. 1 Let s(j) = j**2 - j + 2. Let u be s(0). Suppose l - u*l = -3. Solve 0*y - l*y + 12 = 0 for y. 4 Let q be (-1)/(2*3/(-24)). Suppose -4*z = 3*p - 25, 1 = 5*p - q*z - 30. Let a = 6 - -10. Solve p*l - 3*l = -a for l. -4 Let a = 42 + -38. Suppose 0 = -12*y + 14*y - a. Solve -3 + 9 = y*l for l. 3 Suppose -50*j + 45*j - 640 = 0. Let r be (-4)/14 + j/(-56). Solve -r*n - 1 = 9 for n. -5 Let u(p) = 2*p**2 + 29*p - 140. Let z be u(4). Suppose 0 = 4*d + 5 - 17. Let x = z - d. Solve -x*h = -h + 8 for h. -2 Suppose 857 = -w + 861. Solve -9*j - w = 23 for j. -3 Let x = 31 + -28. Suppose -3*v + c - 1 = x*c, 5*c = -10. Solve -f = -3 + v for f. 2 Let u(f) = 0*f + 41 - 35 + f. Let p be u(2). Let k = p + 7. Solve k = z - 6*z for z. -3 Let v(t) = 3*t**2 + 7*t - 6. Let l be v(-4). Suppose -5*h = 2*h - l. Solve -h - 4 = 2*d for d. -3 Let x = -116 - -176. Suppose -6*b = -b + x. Let t = b + 16. Solve 0 = -t*u + 2*u + 4 for u. 2 Let u be (-1 - -1) + (-1 - -1). Let n = 2 - u. Suppose 0 = c + 2*c - 6. Solve -n*g + c = -4*g for g. -1 Let k = 531 + -529. Solve -k = -2*r + 4 for r. 3 Let y be 129 + -121 - (2 + -1). Suppose -v + 22 = -0*v - 2*g, 5*v - 2*g = 78. Let i = v + -9. Solve 2*j - y*j = -i for j. 1 Let w(j) = 8*j - 14*j + 5*j + 0*j + j**3 + 4*j**2 + 4. Let g = 1 - 5. Let p be w(g). Solve 2*h + p = -2*h for h. -2 Let g be 30/(-20)*92/(-6). Suppose -q - g = -2*q + 5*d, 4*q = 5*d + 32. Solve -q*b = -2*b + 5 for b. -5 Let s be ((-3)/(-2))/(-1 + (-55)/(-40)). Solve -3*i = s*i + 14 for i. -2 Suppose 3*w - 2*k = 10, 5 + 11 = 3*w - 5*k. Suppose 0 = s + 2*d - 3 - w, -3*d = -4*s + 9. Solve h = s*h for h. 0 Suppose -5*l + w = 600, 0*l - 2*w = 2*l + 240. Let j be ((-8)/(-12))/((-6)/(-63)). Let c be (-1)/j + l/(-56). Solve 0 = -c*y + 10 for y. 5 Suppose 5*i + 4*u = -11, u - 5*u - 8 = 4*i. Let g be 6*(i + 4) + (0 - 1). Suppose 0 = 3*d - d - 12. Solve f + d - g = 0 for f. -1 Suppose -4*s + 3*k + 12 = -0*s, -5*k = 0. Suppose -3*y + 0 = -6. Suppose -2*v = s*l + 3*v - 7, 0 = -y*l - 2*v + 6. Solve 3 + 9 = l*w for w. 3 Let q(b) = -6*b - b**2 - b**3 + 5*b + 8 - 3. Let v be q(0). Suppose 5*m + 3*r + 0*r = 19, -29 = -v*m + 2*r. Solve t + 16 = m*t for t. 4 Suppose 3*o + 2*d + 4 = 0, -5*o - 6 + 2 = 2*d. Solve o = 10*b - 7*b - 9 for b. 3 Let w = -318 + 322. Solve -w*k = 3 - 7 for k. 1 Suppose -48 = -2*w - 10*w. Suppose 6*v = w*v + 6. Solve -c + v*c - 8 = 0 for c. 4 Let t = -2 + 0. Let d(n) = n**3 + 4*n**2 + 2*n + 1. Let r be d(t). Suppose 5 + r = 5*j. Solve 0 = 2*q - 0*q + j for q. -1 Suppose 0 = -9*k - 489 + 579. Solve -y + k = 14 for y. -4 Suppose -3*s + s - 28 = -2*j, 3*s + 12 = 0. Suppose c + 45 = -4*w, -3*c - 47 = 3*w + 52. Let q = c - -31. Solve -q - j = -3*f for f. 4 Let q = 47 + -82. Let a be (3 - 1)/((-7)/q). Solve -2*m + 2 = a for m. -4 Suppose 0 = 76*s - 6*s - 490. Solve s*i = -19 + 47 for i. 4 Let q be 9*((-20)/(-6) + -2). Suppose 4*o - 4*u = -5*u - 19, 19 = o + 5*u. Let j = q + o. Solve v - j = -v for v. 3 Suppose 4*l = -8, 0*l - 41 = 3*c + 4*l. Let t = 11 + c. Let r be 0 + 5 + -1 + -1 + -1. Solve t = b + b - r for b. 1 Let p be (8/(-4) + 2)*-1. Let r be 8 + (4 + -13 - -6). Solve 25 = -r*q - p*q for q. -5 Let q = -5 + 23. Let w = -257 - -271. Let i be 12/(-42) + q/w. Solve 7 + i = 2*s for s. 4 Suppose 3*x + w - 43 = 0, -2*x + 2*w + 24 = -18. Let k be (-2)/(-3) + 329/(-21). Let z = k + x. Solve z = 3*h - 2 for h. 1 Let p = 18 + -24. Let q be (-2)/p*(11 + 7). Let z be 4 + -3 + 0 + 2. Solve q*v - z*v = 9 for v. 3 Suppose -3 + 5 = -w - 2*h, 2*h + 22 = 4*w. Suppose 0 = 35*n - 33*n - w. Solve 0 = 3*i + n*i + 5 for i. -1 Let i = -171 - -184. Solve 10*z - 12 = i*z for z. -4 Suppose -228 = -4*v + 3*k, 228 = 6*v - 2*v + 2*k. Let u = v + -55. Solve a - 4 =
{ "pile_set_name": "DM Mathematics" }
are there between 9:49 PM and 7:56 AM? 607 How many minutes are there between 11:49 PM and 5:48 AM? 359 How many minutes are there between 2:08 AM and 3:08 AM? 60 What is 103 minutes before 2:10 AM? 12:27 AM How many minutes are there between 6:56 PM and 4:08 AM? 552 How many minutes are there between 1:31 AM and 2:30 AM? 59 How many minutes are there between 5:40 PM and 12:34 AM? 414 How many minutes are there between 3:01 PM and 9:26 PM? 385 What is 238 minutes after 6:09 AM? 10:07 AM What is 11 minutes before 3:13 PM? 3:02 PM How many minutes are there between 1:08 PM and 1:50 PM? 42 What is 10 minutes before 12:28 PM? 12:18 PM How many minutes are there between 1:38 PM and 4:44 PM? 186 What is 491 minutes before 3:36 PM? 7:25 AM What is 165 minutes before 1:21 PM? 10:36 AM What is 92 minutes before 7:58 AM? 6:26 AM How many minutes are there between 7:22 AM and 3:27 PM? 485 What is 56 minutes after 4:50 AM? 5:46 AM How many minutes are there between 2:17 PM and 8:30 PM? 373 What is 360 minutes after 10:00 PM? 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444 What is 535 minutes before 9:26 PM? 12:31 PM What is 120 minutes before 1:58 AM? 11:58 PM How many minutes are there between 8:50 PM and 5:38 AM? 528 How many minutes are there between 6:19 AM and 6:04 PM? 705 What is 328 minutes after 7:02 PM? 12:30 AM What is 293 minutes after 11:59 PM? 4:52 AM How many minutes are there between 4:45 PM and 5:27 PM? 42 What is 485 minutes before 12:09 PM? 4:04 AM What is 176 minutes after 3:35 AM? 6:31 AM How many minutes are there between 2:22 PM and 10:50 PM? 508 How many minutes are there between 6:25 PM and 5:34 AM? 669 How many minutes are there between 1:28 AM and 1:00 PM? 692 What is 669 minutes before 1:32 AM? 2:23 PM What is 388 minutes before 4:15 AM? 9:47 PM How many minutes are there between 4:54 PM and 10:26 PM? 332 What is 692 minutes before 6:11 AM? 6:39 PM How many minutes are there between 3:29 AM and 10:23 AM? 414 What is 611 minutes before 10:56 AM? 12:45 AM What is 217 minutes after 7:33 AM? 11:10 AM How many minutes are there between 3:16 PM and 1:21 AM? 605 What is 387 minutes after 3:02 AM? 9:29 AM How many minutes are there between 4:59 PM and 5:58 PM? 59 What is 679 minutes before 12:11 PM? 12:52 AM How many minutes are there between 6:31 PM and 6:30 AM? 719 How many minutes are there between 10:59 PM and 9:42 AM? 643 What is 597 minutes before 10:43 PM? 12:46 PM What is 445 minutes before 3:32 AM? 8:07 PM What is 204 minutes after 9:06 AM? 12:30 PM How many minutes are there between 7:00 PM and 12:04 AM? 304 How many minutes are there between 12:25 AM and 8:36 AM? 491 What is 663 minutes before 5:56 AM? 6:53 PM What is 420 minutes after 2:32 AM? 9:32 AM What is 672 minutes before 5:53 AM? 6:41 PM How many minutes are there between 9:12 PM and 1:37 AM? 265 What is 103 minutes after 12:30 AM? 2:13 AM How many minutes are there between 11:42 PM and 1:20 AM? 98 What is 660 minutes after 12:13 PM? 11:13 PM What is 141 minutes before 10:05 AM? 7:44 AM How many minutes are there between 11:58 AM and 6:09 PM? 371 How many minutes are there between 10:25 PM and 3:27 AM? 302 How many minutes are there between 5:53 PM and 2:04 AM? 491 How many minutes are there between 10:19 PM and 5:44 AM? 445 What is 663 minutes before 6:53 PM? 7:50 AM How many minutes are there between 9:24 PM and 4:22 AM? 418 How many minutes are there between 6:35 PM and 6:07 AM? 692 How many minutes are there between 1:35 AM and 1:00 PM? 685 What is 51 minutes before 5:56 PM? 5:05 PM How many minutes are there between 8:34 AM and 12:58 PM? 264 How many minutes are there between 12:41 PM and 12:45 PM? 4 How many minutes are there between 3:10 AM and 12:28 PM? 558 How many minutes are there between 7:35 AM and 8:14 AM? 39 What is 430 minutes after 5:04 PM? 12:14 AM What is 235 minutes before 6:48 PM? 2:53 PM What is 543 minutes after 2:56 AM? 11:59 AM How many minutes are there between 1:55 PM and 3:36 PM? 101 How many minutes are there between 11:46 PM and 3:50 AM? 244 What is 41 minutes before 9:44 PM? 9:03 PM What is 103 minutes after 2:55 PM? 4:38 PM What is 9 minutes before 7:24 PM? 7:15 PM How many minutes are there between 11:56 PM and 6:55 AM? 419 How many minutes are there between 9:59 PM and 12:23 AM? 144 How many minutes are there between 11:05 AM and 5:50 PM? 405 What is 59 minutes before 2:39 AM? 1:40 AM What is 313 minutes after 1:40 AM? 6:53 AM What is 186 minutes after 6:39 PM? 9:45 PM What is 251 minutes after 11:16 AM? 3:27 PM What is 251 minutes before 12:14 PM? 8:03 AM How many minutes are there between 2:16 PM and 7:16 PM? 300 What is 144 minutes before 7:30 AM? 5:06 AM What is 429 minutes after 1:27 AM? 8:36 AM How many minutes are there between 12:02 PM and 5:55 PM? 353 How many minutes are there between 4:42 AM and 8:37 AM? 235 How many minutes are there between 1:54 PM and 4:39 PM? 165 What is 203 minutes before 3:07 AM? 11:44 PM What is 331 minutes after 5:26 AM? 10:57 AM How many minutes are there between 7:33 AM and 7:35 AM? 2 What is 321 minutes before 11:46 PM? 6:25 PM How many minutes are there between 3:54 AM and 6:02 AM? 128 What is 341 minutes before 1:05 AM? 7:24 PM What is 472 minu
{ "pile_set_name": "DM Mathematics" }
326, -41171, -40996, -40795, -40562, -40291, -39976? -39611 What comes next: -2238, -3074, -3910, -4746? -5582 What is next in -5464, -10910, -16342, -21760? -27164 What comes next: 17508, 69975, 157406, 279801, 437160, 629483? 856770 What is the next term in -192, -905, -2096, -3765, -5912? -8537 What is next in 392, 386, 388, 404, 440? 502 What is next in 67229, 67230, 67231, 67232? 67233 What is next in -1433, -5714, -12841, -22808, -35609? -51238 What comes next: -653, -1254, -1855? -2456 What is next in -79485, -79483, -79481, -79479, -79477, -79475? -79473 What is next in -15291, -15297, -15305, -15315, -15327, -15341? -15357 What is the next term in 5125, 5129, 5133, 5137, 5141, 5145? 5149 What comes next: 87703, 350816, 789337, 1403266? 2192603 What is the next term in 54, 151, 354, 717, 1294, 2139, 3306, 4849? 6822 What is next in 22748, 45508, 68270, 91034, 113800, 136568, 159338? 182110 What is the next term in -294435, -588868, -883301? -1177734 What is next in -305, -1200, -2687, -4772, -7461? -10760 What comes next: 209, 195, 161, 101, 9? -121 What is the next term in 530, 2145, 4892, 8819, 13974, 20405? 28160 What is the next term in -152, -259, -354, -437? -508 What comes next: -267840, -535689, -803538, -1071387, -1339236? -1607085 What comes next: 25780, 51665, 77540, 103399, 129236, 155045? 180820 What comes next: -447, -477, -549, -681, -891, -1197, -1617, -2169? -2871 What comes next: 133964, 133952, 133954, 133976, 134024, 134104? 134222 What is next in -119, -239, -359, -479? -599 What is the next term in 4983, 4977, 4971, 4965, 4959, 4953? 4947 What is the next term in -4784, -9539, -14296, -19055? -23816 What comes next: -16935, -67710, -152341, -270834, -423195, -609430, -829545? -1083546 What comes next: 316, 493, 670, 847, 1024? 1201 What comes next: -1762, -7042, -15842, -28162, -44002? -63362 What is the next term in -16449, -16447, -16445, -16443? -16441 What is the next term in 1192, 2397, 3618, 4861, 6132, 7437, 8782, 10173? 11616 What is next in -1278156, -1278155, -1278164, -1278189, -1278236, -1278311? -1278420 What comes next: -254, -507, -756, -1001? -1242 What comes next: 255, 1007, 2267, 4041, 6335? 9155 What comes next: -1867589, -1867591, -1867593, -1867595, -1867597? -1867599 What is next in -49749, -49751, -49753, -49755, -49757, -49759? -49761 What is next in 210, 833, 1878, 3345? 5234 What is next in -503, -546, -671, -920, -1335, -1958, -2831, -3996? -5495 What is next in 391, 747, 1065, 1327, 1515, 1611? 1597 What is the next term in 211421, 422826, 634231? 845636 What is the next term in -69, -338, -573, -768, -917, -1014, -1053, -1028? -933 What is next in 740, 3078, 6968, 12404, 19380? 27890 What is the next term in 67, 160, 253, 346, 439? 532 What is the next term in -3156, -3266, -3566, -4152, -5120, -6566, -8586? -11276 What comes next: 2734, 2565, 2396? 2227 What is the next term in 30009, 60019, 90031, 120045, 150061, 180079? 210099 What comes next: 41341, 165390, 372137, 661582? 1033725 What is next in -37028, -74049, -111066, -148079, -185088, -222093? -259094 What is the next term in 88458, 88457, 88456, 88455, 88454? 88453 What is next in -19477, -38954, -58435, -77920, -97409, -116902? -136399 What is the next term in -1391, -2817, -4243, -5669? -7095 What comes next: 1147, 1999, 2845, 3685? 4519 What comes next: 20, 3676, 9770, 18302, 29272, 42680, 58526? 76810 What comes next: -470, -454, -454, -476, -526, -610? -734 What is next in 8, 104, 268, 500, 800? 1168 What is the next term in -11753, -23426, -35099, -46772, -58445, -70118? -81791 What comes next: 2982, 5961, 8940? 11919 What is the next term in -2635, -5334, -8033? -10732 What is the next term in 176562, 353122, 529682, 706242, 882802? 1059362 What comes next: -197, -131, -51, 49, 175, 333, 529? 769 What is next in -36, 33, 112, 201? 300 What comes next: 788, 855, 962, 1103, 1272? 1463 What is next in -144, 7, 274, 669, 1204, 1891, 2742? 3769 What is next in 4821, 19334, 43523, 77388? 120929 What is next in 14331, 28719, 43107, 57495, 71883, 86271? 100659 What is the next term in 654, 687, 720? 753 What is next in 1281, 1217, 1043, 705, 149, -679, -1833, -3367? -5335 What is the next term in 6295, 6284, 6251, 6184, 6071, 5900, 5659, 5336? 4919 What comes next: -4245, -4256, -4271, -4290, -4313, -4340, -4371? -4406 What is next in 2471, 2469, 2467, 2465, 2463, 2461? 2459 What is next in 35164, 140615, 316352, 562375, 878684, 1265279? 1722160 What is next in -360, -360, -346, -312, -252, -160, -30? 144 What is next in 15088, 30168, 45248, 60328? 75408 What is the next term in -4559, -18240, -41041, -72962? -114003 What is next in 258, 1104, 2524, 4524, 7110, 10288, 14064, 18444? 23434 What comes next: -91955, -91954, -91951, -91946, -91939, -91930, -91919? -91906 What is next in -3458, -3450, -3432, -3404, -3366? -3318 What is the next term in 1979, 2034, 2091, 2150, 2211, 2274, 2339? 2406 What is next in 55510, 55509, 55508, 55507, 55506? 55505 What is next in 1550, 5823, 12944, 22913, 35730, 51395? 69908 What is the next term in -9556, -38173, -85862, -152617, -238432, -343301? -467218 What is the next term in 253, 2168, 7435, 17752, 34817, 60328, 95983? 143480 What is next in 113, 435, 971, 1721? 2685 What is the next term in -294, -436, -686, -1044, -1510, -2084? -2766 What is next in -2910, -5825, -8740, -11655, -14570? -17485 What is next in 362, 427, 492, 557? 622 What is next in 178, 1448, 4890, 11590, 22634, 39108, 62098, 92690? 131970 What is the next term in 58135, 58128, 58107, 58066, 57999, 57900, 57763? 57582 What is next in 158, 144, 140, 152, 186, 248? 344 What comes next: 1251, 1433, 1615, 1797, 1979? 2161 What is next in 6361, 12762, 19163? 25564 What is the next term in 2597, 2623, 2663, 2717, 2785? 2867 What is the next term in -150, -433, -724, -1023, -1330, -1645? -1968 What comes next: 6467, 12857, 19247? 25637 What is the next term in -236, -914, -2026, -3572, -5552? -7966 What is the next term in 21739, 21549, 21347, 21127, 20883? 20609 What is the next term in -1774, -1767, -1760, -1753, -1746? -1739 What is next in 38, 40, -38, -226, -554? -1052 What is the next term in 1437, 1568, 1699, 1830? 1961 What is next in 1357, 1765, 2869, 5017, 8557, 13837? 21205 What is next in -34248, -68520, -102804, -137106, -171432, -205788, -240180, -274614? -309096 What is the next term in 1182, 2334, 3466, 4578, 5670? 6742 What is the next term in 50, 267, 864, 2033, 3966, 6855? 10892 What is next in -32775, -65556, -98341, -131130, -163923, -196720, -229521? -262326 What is next in -410, -650, -1050, -1610, -2330, -3210, -4250? -5450 What is the next term in 151816, 151809, 151802, 151795? 151788 What is the next term in 28121, 28122, 28123? 28124 What comes next: -52, -159, -338, -589, -912, -1307, -1774? -2313 What comes next: 81555, 163105, 244653, 326199, 407743? 489285 What is next in -157, -184, -239, -328, -457? -632 What is next in -46, -41, -44, -61, -98? -161 What comes next: 250, 1916, 6430, 15214, 29690, 51280, 81406? 121490 What comes next: -5759, -5760, -5747, -5714, -5655? -5564 What is the next term in 51460, 102922, 154382, 205840? 257296 What is the next term in -660130, -1320256, -1980382, -2640508, -3300634? -3960760 What is the next term in -6967, -6811, -6655, -6499, -6343? -6187 What is next in 1094, 1106, 1114, 1118, 1118? 1114 What comes next: 5777, 11551, 17323, 23093, 28861, 34627, 40391? 46153 What is next in 1734, 3461, 5184, 6903, 8618? 10329 What comes next: 5, 151, 283, 395, 481, 535, 551? 523 What is next in 34588, 138350, 311286, 553396? 864680 What is next in -4533, -4561, -4609, -4677, -4765? -4873 What is the next term in 149068, 298136, 447204, 596272? 745340 What is the next term in -2018, -4058, -6118, -8204, -10322, -12478, -14678, -16928? -19234 What comes next: -1125, -2242, -3347, -4434, -5497? -6530 What is next in 506, 1830, 4028, 7100, 11046, 15866? 21560 What comes next: -127, -319, -511, -703? -895 What comes next: -24070, -24073, -24080, -24091, -24106, -24125, -24148? -24175 What is next in -143, -286, -429, -572, -715? -858 What comes next: 242, 261, 280? 299 What comes next: -375852, -1503361, -3382536, -6013371, -9395860, -13529997, -18415776? -24053191 W
{ "pile_set_name": "DM Mathematics" }
ccxc. What is prob of picking 3 c? 1/35 Three letters picked without replacement from {f: 9}. What is prob of picking 3 f? 1 Two letters picked without replacement from {v: 2, y: 1, i: 4, j: 1, k: 3}. What is prob of picking 1 v and 1 k? 6/55 Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {g: 4, k: 3, p: 3, e: 3}. 3/26 Four letters picked without replacement from {w: 2, t: 7, m: 4}. What is prob of picking 2 t and 2 w? 21/715 What is prob of picking 3 p when three letters picked without replacement from uctpdhudtdppt? 1/286 What is prob of picking 1 g, 1 w, and 1 b when three letters picked without replacement from gbbwabrbapwwwbp? 4/91 What is prob of picking 3 y when three letters picked without replacement from {p: 7, y: 5}? 1/22 What is prob of picking 2 m when two letters picked without replacement from mmmmamammam? 28/55 What is prob of picking 1 e, 1 v, and 1 a when three letters picked without replacement from barrarevanbbrnb? 3/455 What is prob of picking 1 e, 1 l, and 1 d when three letters picked without replacement from {s: 9, e: 2, d: 1, h: 3, l: 3}? 1/136 What is prob of picking 3 s and 1 c when four letters picked without replacement from ssmncmnnsmsmssm? 4/273 Two letters picked without replacement from puppupppppppppppupnn. What is prob of picking 2 u? 3/190 What is prob of picking 1 b and 1 j when two letters picked without replacement from lllbhddhbjhjj? 1/13 Calculate prob of picking 1 f and 1 p when two letters picked without replacement from pppfpppppfppfp. 33/91 What is prob of picking 2 r when two letters picked without replacement from {i: 7, r: 6}? 5/26 Two letters picked without replacement from ccocccocccoccc. What is prob of picking 2 o? 3/91 Four letters picked without replacement from uuzuczzuuucczzcu. Give prob of picking 1 z and 3 u. 5/52 What is prob of picking 1 d, 1 f, and 1 n when three letters picked without replacement from fydqn? 1/10 What is prob of picking 1 y, 1 i, and 2 e when four letters picked without replacement from {b: 3, m: 1, e: 5, y: 2, i: 1}? 4/99 Calculate prob of picking 1 j and 2 e when three letters picked without replacement from {j: 2, i: 5, e: 6}. 15/143 Two letters picked without replacement from {e: 1, i: 4, k: 1, t: 2}. What is prob of picking 1 e and 1 k? 1/28 Calculate prob of picking 1 i, 1 o, and 1 a when three letters picked without replacement from oaoauniiiauoooioui. 15/136 What is prob of picking 1 u, 1 n, and 1 g when three letters picked without replacement from ppunganpapnp? 3/220 Three letters picked without replacement from {i: 2, p: 8, a: 5}. What is prob of picking 1 a and 2 i? 1/91 What is prob of picking 2 g when two letters picked without replacement from {l: 2, h: 8, g: 8}? 28/153 Four letters picked without replacement from zzvvvzzzvvzz. What is prob of picking 4 z? 7/99 Three letters picked without replacement from {y: 2, p: 2, a: 3, r: 4, b: 1}. What is prob of picking 1 r, 1 a, and 1 y? 6/55 Two letters picked without replacement from {l: 8, d: 2, v: 2}. What is prob of picking 1 v and 1 d? 2/33 What is prob of picking 1 n and 3 z when four letters picked without replacement from {n: 1, z: 5, w: 3, e: 1, v: 5, m: 3}? 1/306 What is prob of picking 3 g when three letters picked without replacement from {g: 3, i: 1, n: 4, p: 2, t: 4}? 1/364 What is prob of picking 1 c and 2 o when three letters picked without replacement from ooococoocco? 28/55 Two letters picked without replacement from wqswqhwfspph. What is prob of picking 2 q? 1/66 Two letters picked without replacement from oiutouxtuxuiuox. What is prob of picking 1 i and 1 t? 4/105 Two letters picked without replacement from ejjceceewrjn. Give prob of picking 1 n and 1 j. 1/22 Three letters picked without replacement from {x: 5, t: 7}. Give prob of picking 1 t and 2 x. 7/22 Three letters picked without replacement from {n: 5, h: 7}. Give prob of picking 3 h. 7/44 Calculate prob of picking 2 w when two letters picked without replacement from wppwpfw. 1/7 Two letters picked without replacement from {l: 2, f: 1, g: 2, z: 1}. Give prob of picking 1 g and 1 f. 2/15 What is prob of picking 1 s, 1 w, and 1 v when three letters picked without replacement from {b: 1, n: 4, w: 3, s: 3, u: 1, v: 3}? 27/455 Calculate prob of picking 1 f and 1 r when two letters picked without replacement from qjrfm. 1/10 What is prob of picking 1 f and 1 u when two letters picked without replacement from kfikffuuukknukf? 16/105 Calculate prob of picking 1 n and 2 f when three letters picked without replacement from nnnf. 0 What is prob of picking 1 q, 1 t, and 1 n when three letters picked without replacement from tlqnanaanaa? 1/55 What is prob of picking 1 p and 1 t when two letters picked without replacement from ttnwtpppwpwwttppxtw? 4/19 What is prob of picking 2 h and 2 s when four letters picked without replacement from hhshhhhllhhhllls? 9/455 Calculate prob of picking 1 z and 2 f when three letters picked without replacement from {y: 3, f: 2, k: 1, z: 1}. 1/35 Four letters picked without replacement from {d: 1, o: 2, h: 1, w: 2, k: 1}. What is prob of picking 2 o and 2 w? 1/35 What is prob of picking 1 d and 1 c when two letters picked without replacement from mdrodomcl? 1/18 Four letters picked without replacement from tectcytztzzctcze. Give prob of picking 2 e, 1 z, and 1 y. 1/455 Three letters picked without replacement from {b: 3, k: 11, x: 4}. What is prob of picking 2 b and 1 k? 11/272 Calculate prob of picking 3 q when three letters picked without replacement from {q: 3}. 1 What is prob of picking 2 n and 1 o when three letters picked without replacement from {o: 2, n: 16}? 5/17 Three letters picked without replacement from {u: 4, i: 6, c: 2, w: 3}. What is prob of picking 3 w? 1/455 Three letters picked without replacement from {i: 2, x: 7, v: 1}. Give prob of picking 1 v, 1 i, and 1 x. 7/60 What is prob of picking 2 i when two letters picked without replacement from iiiiiiiiii? 1 What is prob of picking 2 e when two letters picked without replacement from {u: 1, e: 2, w: 5, b: 1}? 1/36 What is prob of picking 2 w, 1 f, and 1 g when four letters picked without replacement from {w: 4, f: 2, n: 1, j: 1, g: 1}? 2/21 Calculate prob of picking 2 i when two letters picked without replacement from zzzzzzzizzizzizzizzi. 1/19 Three letters picked without replacement from {f: 3, s: 4, y: 10, j: 2}. Give prob of picking 1 j, 1 y, and 1 f. 20/323 Calculate prob of picking 2 y and 2 g when four letters picked without replacement from ghyggyygggghyggyy. 27/119 Four letters picked without replacement from tssctbctbsccst. Give prob of picking 1 s, 1 c, and 2 b. 16/1001 Two letters picked without replacement from {b: 2, v: 2, x: 1, f: 2, i: 1, h: 1}. What is prob of picking 1 h and 1 i? 1/36 What is prob of picking 1 r and 1 n when two letters picked without replacement from {e: 2, y: 1, p: 3, n: 1, a: 1, r: 5}? 5/78 What is prob of picking 1 w and 1 v when two letters picked without replacement from wvdvvdwvwdvvwdd? 8/35 Four letters picked without replacement from {m: 1, x: 1, f: 2, u: 1}. What is prob of picking 1 x, 2 f, and 1 m? 1/5 Four letters picked without replacement from {y: 2, u: 1, p: 4, r: 6}. What is prob of picking 2 p, 1 r, and 1 y? 72/715 Four letters picked without replacement from ajjjjjaaajaajjaaajjj. What is prob of picking 4 j? 22/323 Three letters picked without replacement from {r: 2, y: 4, v: 1, l: 3, w: 1}. What is prob of picking 2 y and 1 w? 2/55 Two letters picked without replacement from {l: 1, j: 1, w: 1, m: 1, c: 1}. Give prob of picking 1 j and 1 l. 1/10 Four letters picked without replacement from {z: 2, j: 1, r: 1, x: 1, o: 1, e: 1}. Give prob of picking 1 e, 1 z, 1 j, and 1 r. 2/35 Two letters picked without replacement from sdgueld. Give prob of picking 1 d and 1 g. 2/21 Calculate prob of picking 2 v, 1 i, and 1 q when four letters picked without replacement from {v: 2, q: 3, i: 10}. 2/91 Calculate prob of picking 2 e and 2 s when four letters picked without replacement from seseeseessee. 14/33 Two letters picked without replacement from {m: 1, v: 5, h: 3}. Give prob of picking 2 h. 1/12 Three letters picked without replacement from eekeuueeuueeeueezkuu. G
{ "pile_set_name": "DM Mathematics" }
14*x**5 - 799*x**2 Expand w**3 + 5*w**4 - w**3 + (1 + w - 1)*(60*w**3 - 61*w + 61*w). 65*w**4 Expand -2*i**3 + 2*i**4 + 2*i**3 + (0*i + 0*i + i)*(1346389*i**2 - 1346389*i**2 - 2875*i**3). -2873*i**4 Expand (-3*g + 2*g + 10*g)*((28 - 20 - 15)*(-4 - 1 + 6) + 3 - 6 + 1). -81*g Expand (-1516 - 12*c - 1466 + 2945 + (-c - 5 + 5)*(-1 + 0 + 2))*(c**2 - 3*c**2 + c**2). 13*c**3 + 37*c**2 Expand (-b - b + 4*b)*(-2*b**3 + 0*b**3 + 5*b**3)*(-4 + 5 + 1 + (3 - 3 + 1)*(3 - 4 + 6) - 12 + 84 + 28). 642*b**4 Expand (0 - 3*k**2 + 0 - 51*k**2 + 5*k**2 + 29*k**2 + (0 - 1 - 1)*(1 - 1 + 2*k**2) - k**2 + 8 - 8)*(-3*k - 2*k + k + 0*k + 6*k). -50*k**3 Expand (2 - 203*v + 194*v - 10)*(-8*v**2 + 26*v**2 - 14*v**2)*(4*v - v - v). -72*v**4 - 64*v**3 Expand (2*v**3 + 2*v**2 - 2*v**2 + 2*v**3 + v**2 - v**2 + (2*v**2 + 2*v**2 - 2*v**2)*(-1 + 2*v + 1) - 26 - 2*v**2 - 3*v**3 + 26)*(-9*v - 8*v + 6*v). -55*v**4 + 22*v**3 Expand (5878*v**2 - 1944*v**2 - 2205*v**2)*(17*v**2 + 65*v**2 + 0*v**2 + 30*v**2 + 0*v**2). 193648*v**4 Expand -2*a**2 + 2*a**2 - 5*a**2 + a**2 + (a + 4 - 4)*(0*a + 2*a + 0*a) - a**2 + 4*a - 4*a + 1 - 1 - 2*a**2 - 3*a**2 - 1 + 1 + 6*a**2 + 4*a**2 - 7*a**2. -5*a**2 Expand 22*p - 14 + 12 + 0 + (-27 - 21 + 21)*(4*p + 4*p - 6*p). -32*p - 2 Expand (2 - 4 - 1)*(5 + 1 + 0)*(3383 - 3383 + 608*d). -10944*d Expand -2*r**2 - r**2 - 2*r**2 + (-r + r - 2*r**2)*(4 + 0 - 6) - r**2 - 3 + 3 + (-6 + 3 + 2)*(3 - 5 + 0)*(-5*r**2 + 3*r**2 + r**2) - 9*r**2 + r**2 + 5*r**2. -7*r**2 Expand (3*l**3 - 2*l**3 + 0*l**3)*(2*l + 4*l + 0*l) + 2 - 2 + 2*l**4 + (0*l**3 - 19*l**3 + 3*l**3)*(0*l + 0*l + 3*l). -40*l**4 Expand (5 + 5 + 19)*(-670*y + 670*y - 75*y**3)*(-6*y + y + 4*y). 2175*y**4 Expand (4*g - 4*g + 2*g)*(0 - 8 + 42)*(1 + 0 + 1) + 4 - 4 - 3*g + (0 - 4 + 2)*(3*g - 2*g + 0*g). 131*g Expand (-5*l + 2*l + 8*l)*(2 + 1 - 6) + 22*l + 2*l + 15*l. 24*l Expand (v**4 - v**4 - v**4)*(-2 + 1 - 1)*(2 - 2 - 1)*(-4 + 4 + 2 + (3 + 0 - 5)*(4 - 1 - 1))*(149 + 82 - 78). 612*v**4 Expand ((c - 2*c + 2*c)*(c + 4*c - 3*c) - 4*c**2 - 5*c + 5*c)*(-4*c + 3*c + 2*c)*((1 + 1 - 3)*(1 - 1 - 1) + 15 - 3 - 5)*(7 - 4 - 4). 16*c**3 Expand 2*q**4 - 3*q**4 - q**4 - 240*q**3 + 124*q**3 + 117*q**3 - 75 - q**4 - 5*q**2 + (3 - 3 + 2*q)*(4*q**3 - 3*q**3 - 2*q**3) + 2*q**4 - q + q. -3*q**4 + q**3 - 5*q**2 - 75 Expand (-2*s**2 - 3*s**2 + 6*s**2)*(9*s**3 - 2*s**3 + s + 28*s**3) - 3*s**5 + 0*s**5 + 9*s**5. 41*s**5 + s**3 Expand (3*v**4 - 3*v**4 - v**4)*(3*v + v + 2*v) + 182241 + 385*v**5 - 182241. 379*v**5 Expand (-2*n**4 + 4*n**4 + n**4)*(1 - 2 + 7) + 230*n - 85*n**4 - 230*n. -67*n**4 Expand (-5 + 19 + 1240*a - 1238*a)*(-27*a + a - 34*a). -120*a**2 - 840*a Expand (-2 - 7 + 7)*(-4*b + 3*b**3 + 4*b) + (-2*b**2 + b - b)*(9*b - 11*b - 7*b). 12*b**3 Expand (-1 - 1 + 3 + (0 - 2 + 0)*(2 + 0 + 2) - 3 - 1 + 8 - 2 - 7 + 1)*(0 + 4 + 1)*(3 - 3 + g). -55*g Expand (184 - 32*j - 184)*(-60*j**2 + 10 + 6 - 17). 1920*j**3 + 32*j Expand -t**4 + t**2 - t**2 + 0*t**4 + t**4 - 3*t**4 + (0 + 0 + 2*t**2)*(2*t**2 - 2*t**2 - t**2) - 72*t**4 - 81*t**4 + 173*t**4 + (3*t**3 + 3 - 3)*(0 - 2*t + 0). 9*t**4 Expand (-1 + 1 - g)*(-21629*g**2 + 37 - 20930*g**2 - 21507*g**2 + 65110*g**2). -1044*g**3 - 37*g Expand 0*u**2 + 2*u**2 - u**2 + (-u**2 + 4*u**2 - 2*u**2)*(77 + 186 - 79). 185*u**2 Expand ((-4 - 1 + 3)*(-2 + 3 + 0) + 7 + 2 - 3)*(23 - 20665*g + 20605*g - 3). -240*g + 80 Expand (-21 + 36 - 19)*(-184 - 78 + 53)*(2*z + z + z + 2*z**3). 1672*z**3 + 3344*z Expand (0 - 2*u**2 + 0)*(1 + 1 - 1 + (-7 - 8 + 0)*(-1 - 4 + 0)). -152*u**2 Expand (-1542*a + 83048 - 83048)*(-3*a**2 - a**2 + 2*a**2). 3084*a**3 Expand (-3 + m + 3)*(-2 + 0 + 1) - 140*m + 24*m - 96*m + (1 + 2 - 2)*(-3*m + 5*m + m) + 3 - 3 - m. -211*m Expand (-272 - 122*y + 272)*(3*y + 3 - 6 - 6). -366*y**2 + 1098*y Expand (d + d + d)*(18 - 7 + 10)*(-13 - 8 + 7). -882*d Expand 0*o - 2*o + 4*o + (-4 + 2 + 4)*(1 - 1 + 2*o) - 173*o + 58*o + 91*o - 2*o + 0*o - 2*o + 0 + 0 - 2*o + (0 + 2*o + 0)*(-4 - 2 + 5) - 2 + 2 - o. -27*o Expand (0*o + 4*o - 3*o)*(8 + 2 - 9)*(-4*o + 3*o + 2*o) - 10 + 10 - 5*o**2. -4*o**2 Expand (51*l**2 - 55*l**2 + 76*l**2)*(-2*l**2 + 2*l**2 + 12*l**3) + 3*l**5 - 2*l**2 + 2*l**2. 867*l**5 Expand -2*f + 28*f + 12*f + 0*f + 3*f - 4*f + (0*f + 2*f - 4*f)*(2 - 3 + 2) + 2*f - 4*f + 3*f + (3*f - 5*f + 0*f)*(0 + 0 - 1) - 8*f + 16*f - 5*f. 41*f Expand (q - 2*q + 2*q)*(-q + 4*q - 4*q)*(30 + 4 + 9) + 6*q**2 + 3*q**2 - q**2. -35*q**2 Expand (96*l**4 + 155*l**2 - 72*l**4 - 174*l**2)*(-2 - 2 + 2). -48*l**4 + 38*l**2 Expand (2*a - 2*a**2 - 2*a)*(3*a + 0*a - 5*a) - 2*a**3 + 0*a + 0*a + 4*a**2 - 70*a**3 - 5526 + 5526. -68*a**3 + 4*a**2 Expand (s**4 - 1 + 1)*(-2 - 1 + 5)*(-2*s + 0 + 0) + 429*s**5 + 471*s**5 + 881*s**5. 1777*s**5 Expand (-2020*o + 1562*o + 1233*o)*(14 - 12 + 16)*(0 + 2 + 0). 27900*o Expand (-47*o - 3*o - 44*o)*((4 + 0 - 1)*(-3 + 3 - 2) - 4 + 5 + 9). -376*o Expand (-14*k + 6*k + 9*k)*(0*k**2 - 6*k**2 - 7 + 8) + 2*k**3 + 4 - 4 + (2*k**2 + 0*k**2 + 0*k**2)*(-k - k + 3*k) + 3*k**3 - 2*k**3 + 3*k**3 - 1 - k**3 + 1. k**3 + k Expand (-93 - 349 - 233)*(-21*t + 11*t + 5*t) - 2*t + 0*t + 0*t. 3373*t Expand c**4 - c**4 + 3*c**4 + (7*c + 11 - 11)*(85*c + 13*c**3 - 85*c). 94*c**4 Expand (k**4 + 3*k**4 - 2*k**4)*((-k + 2*k + 0*k)*(3 - 1 - 1) + 3096 - 3096 - 78*k + 4*k + 2*k - 4*k - 7*k - 3*k + k). -168*k**5 Expand (122 + 189 + 253)*(3*r + 2 - 3*r + 2*r). 1128*r + 1128 Expand (-11*f**2 + 8*f**2 - 10*f**2)*(4 - 2 + 0)*(228*f + 4168 + 0*f**2 - f**2 - 4166). 26*f**4 - 5928*f**3 - 52*f**2 Expand (-204 + 234*f + 196*f - 427*f)*(-f**2 + 7*f**2 - 5*f**2). 3*f**3 - 204*f**2 Expand (-26*h**2 + 82*h**2 - 23*h**2)*(6*h**3 - 19*h**2 + 19*h**2). 198*h**5 Expand ((6 + 1 - 4)*(1 - 1 + m) - 8*m - 10*m - 2*m)*(-m + m + 2*m**2) + 0*m**3 - 4*m**3 - 2*m**3 + (5*m**2 + m**2 - 4*m**2)*(2*m + m - 4*m). -42*m**3 Expand (-4*l + 3*l - l)*(-6164*l + 12372*l - 8423*l). 4430*l**2 Expand b - b + 2*b**2 + 2*b**2 + b**2 - 6*b**2 - 2*b**2 - b + b + (0 + 0 - b)*(-3 + b + 3) - 58*b**2 - 120*b**2 - 24*b**2. -206*b**2 Expand (0*w + 5*w - 2*w + (-1 + 1 + 2*w)*(-2 + 2 - 2) + 796 + 800 - 1598 + 272*w)*(0 + 2 - 1)*(1 + 1 - 3)*(3 + 4 - 5). -542*w + 4 Expand (10 - 15 - 25)*(897*y + 186992 - 186992). -26910*y Expand (61 - 9*l - 10*l + 21*l)*(-48*l - 14*l**3 + 48*l). -28*l**4 - 854*l**3 Expand ((0 - 4 + 5)*(1 + 2 - 1) + 0 + 5 - 3 + (132 - 13 + 1422)*(0 + 0 - 2))*(-2*a**5 + 5*a**5 - 2*a**5). -3078*a**5 Expand (164*x**3 + 30855 - 30855)*(-8*x + 24 + 2*x + 3*x - 10). -492*x**4 + 2296*x**3 Expand -7*y**4 + 7*y**4 + 6*y**5 + (4*y**5 + y**5 - 4*y**5)*((-1 + 1 + 2)*(-1 - 1 + 4) + 11 + 13 - 2). 32*y**5 Expand (-3 + 7 - 5*v - 12)*(-4*v + 3*v + 2*v + (-9 + 1 + 4)*(-2*v - 2*v + 2*v)). -45*v**2 - 72*v Expand 47*j**2 + 9358*j**5 + 5257*j**5 - 47*j**2 + j**5 - 3*j**5 + 0*j**5 + (0*j**3 - 2*j**4 + 0*j**3)*(-2*j + 3*j - 2*j) - 1 + 2*j**5 + 1. 14617*j**5 Expand (6*l - 4*l + 0*l)*(-12403 + 12403 + 21022*l). 42044*l**2 Expand (4*q - q - 5*q)*(-q**2 - q**2 + q**2) + (q**3 + 0 + 0)*(35 + 39 + 27) - 3*q + q**3 + 3*q + (-3*q**3 - 3*q**3 + 5*q**3)*(-2 + 3 - 7). 110*q**3 Expand (-u + 0*u + 7*u)*(-4 - 32 - 30)*(-u + 3 + 1 - 3). 396*u**2 - 396*u Expand 2 - q + 1 - 1 - 4*q + 2*q - 5*q + q + q - 3*q + 3*q + 0*q - q + (-4 + 4 + 2*q)*(1 - 1 + 1) + 3*q - q + 0*q - 3*q + 4 - 4. -6*q + 2 Expand 2*i**4 - 2*i**4 - 2*i**5 + (-3 - 3 - 2)*(2*i**4 + 4*i**4 - 4*i**4)*(6*i - 253 + 253). -98*i**5 Expand -5 + t**2 + 5 + (-5 + 5 + 20*t)*(-30 - 57*t + 30). -1139*t**2 Expand (-13*m + 30*m + 3*m)*(-2*m**4 + 0*m**4 + 0*m**4) - m**3 + 804*m**5 - 5*m**3 - 822*m**5. -58*m**5 - 6*m**3 Expand -91*y + 91*y - 22*y**3 + (18 - 18 + 11*y)*(5*y - 7*y + 3*y)*(2*y - y + 5*y). 44*y**3 Expand (-2 + 0 + 0)*(-6928*b**2 + 1338992*b - 1338992*b). 13856*b**2 Expand (f - 2*f + 0*f)*(120*f**2 - 74*f**2 + 366*f**2) - 18 + 18 + 21*f**3. -391*f**3 Expand 2*d**3 - 3*d**3 + 0*d**3 + (5 + 5 - 4 + (2 - 3 - 1)*(2 - 3 + 2) + (4 - 1 - 1)*(2 + 0 - 1))*(5 - 4 - 2)*(3*d**3 - 2*d**3 - 9*d**3). 47*d**3 Expand (45*w + 43*w - 9*w)*(-6 + 0 + 3 + (6 - 2 - 3)*(-4 - 1 + 3) - 2 + 0 + 0) - 78 + 43*w + 78. -510*w Expand (6*y - 4*y**3 - 199 + 186 - 9*y)*(5*y + 0*y + 5*y - 3*y + 3*y - 2*y + (0 + 3 - 1)*(2*y + 2*y - 5*y) + 0*y - y + 0*y). -20*y**4 - 15*y**2 - 65*y Expand (-c**2 + 50*c - 50*c)*(-1455*c**3 + 1135*c**3 + 686*c**3) + (3 + c - 3)*(2*c**4
{ "pile_set_name": "DM Mathematics" }
by x(-6)? 2 Suppose -8*j = -3*j + 10. Let z = j - -9. Suppose 0*b + 2*c + 45 = 5*b, 3*c - 15 = 0. Calculate the remainder when b is divided by z. 4 Suppose -3*x = 5*k - 198, -2*x + 132 = 16*k - 12*k. Calculate the remainder when 215 is divided by x. 17 Suppose -7*i + 62 = -8. Suppose -5*t = -i*t + 135. What is the remainder when 49 is divided by t? 22 Let u = -64 - -69. Suppose -t + 70 = -3*x, u*x - 200 = -5*t + 210. Let j = 16 + 4. What is the remainder when t is divided by j? 19 Let y = 323 - 184. Let h = -130 + y. Calculate the remainder when 50 is divided by h. 5 Suppose -3*m + 694 = -2*k, -2*m + 451 = -2*k + 3*k. What is the remainder when m is divided by 46? 44 Suppose 4*a = a. Suppose -3 = i, a = -0*p - 2*p - 2*i - 2. What is the remainder when 39 is divided by (-14 + -6)*p/(-4)? 9 Suppose 0*t - 5*t + 2*r = -1342, 2*r + 262 = t. Let l = -160 + t. What is the remainder when l is divided by 14? 12 Let v(k) = -k**3 + k + 92. Let b be v(0). Suppose -4*a + 2*w + 0*w + 100 = 0, 4*a - 4*w - b = 0. Calculate the remainder when -106*-1*(1 + 0) is divided by a. 25 Suppose 0 = -3*p - 0*p + 4*l - 4, 3*l = 3*p + 3. Suppose -4*c + 5 - 1 = p. Suppose c + 0 = -g, 4*g = -2*i + 20. Calculate the remainder when 45 is divided by i. 9 Let v be 4*(70/8 + 2). Suppose -3*k - 4*f + 2*f = -v, 16 = k - f. Let q = -11 - -15. What is the remainder when k is divided by q? 3 What is the remainder when (((-20240)/24)/11)/((-4)/24) is divided by 66? 64 Let f(s) = s + 1. Let o(m) = -5*m - 59. Let d(v) = -6*f(v) - o(v). What is the remainder when d(0) is divided by 14? 11 Let c = 3086 - 3051. Suppose 0 = -0*m - 5*m + 515. Calculate the remainder when m is divided by c. 33 Suppose 0 = 4*d - 3*d - 28. Let l = d - 14. What is the remainder when 52 is divided by l? 10 Suppose -n - k - 3 = -7, 0 = 3*n + 5*k - 8. Let s = 25 - n. What is the remainder when 35 is divided by s? 16 Let r = 49 + -33. Let a(k) = 2*k**3 - 3*k**2 + 2*k + 2. Calculate the remainder when r is divided by a(2). 6 Let t(d) = d**2 + 6*d + 5. Let q be t(-4). What is the remainder when 3/(9/(-4))*q is divided by 2*(77/42 - 1/3)? 1 Let n(k) be the second derivative of -k**3/6 + 19*k**2 + 2*k - 16. What is the remainder when 44 is divided by n(30)? 4 Suppose 2 = r - 2*l, 0*r + 5 = 4*r - 5*l. Suppose 2*y = 2*s - 16, s + r*y = 2*y + 9. What is the remainder when 108/360 + 214/20 is divided by s? 4 Suppose -k + 4 = 2. Suppose 2*f + k*c = 16 + 36, 4*f - 2*c = 116. Calculate the remainder when f is divided by 10. 8 Suppose 0*q + 2*q - 28 = 0. Suppose -3*s - 36 = -2*p, -s - 3 - q = -p. What is the remainder when p is divided by 9? 6 Suppose 5 = -w + 2. What is the remainder when (-16)/w - 8/24 is divided by (-3)/2*(-1 + -1)? 2 Suppose -3*h + h = -24. Let d be (-2)/8 - (-3)/h. Suppose 4*v - 3*v - 21 = d. What is the remainder when 41 is divided by v? 20 Let w(k) = -k**2 - 19*k + 6. Let r be w(-18). Suppose 3*x - 5*s + r = 5*x, -2*x + 8 = s. Calculate the remainder when 6 is divided by x. 0 Suppose 17*z - 20 = 48. What is the remainder when z is divided by 2? 0 Let f be (-6)/2*32/48. Suppose -5*b + 56 = -14. Calculate the remainder when (130/f)/5*-3 is divided by b. 11 Suppose -5*w + 730 = 80. Let g(z) = z**2 - 6*z + 3. Let r be g(6). Suppose -3*f + 66 = -f - r*o, 0 = -4*o. Calculate the remainder when w is divided by f. 31 Let y(q) = 12*q - 14. Let g be y(-5). Let k = g - -105. What is the remainder when 92 is divided by k? 30 Let p = -12 + 7. Let h = 38 - p. Let w = 0 + 15. Calculate the remainder when h is divided by w. 13 Suppose 3*n - 47 - 6 = -4*z, 4*z - 38 = -2*n. What is the remainder when 99 is divided by n? 9 Let q = -57 + 106. Calculate the remainder when q is divided by -20 - 3382/(-171) - 472/(-18). 23 Let l = 491 + -460. What is the remainder when 114 is divided by l? 21 Suppose -2*o + 32 = -186. Suppose 0 = 5*j - 358 - 197. Suppose -j = 11*x - 14*x. What is the remainder when o is divided by x? 35 Let f be (153/(-36))/(2/(-56)). Let m = f + -77. Calculate the remainder when m is divided by 9. 6 Suppose 0 = u + 4*s - 7, 6*u - 5*s = u + 85. Suppose -3*v = -0*v - 15. Suppose -n - 228 = -v*n. What is the remainder when n is divided by u? 12 Suppose 0 = m + 7*m - 104. What is the remainder when 101 is divided by m? 10 Let g = -185 + 227. What is the remainder when 752 is divided by g? 38 Let n(q) = -q**2 + 26*q - 96. What is the remainder when 309 is divided by n(20)? 21 Let t be 3/(-15) + 63/15. Suppose -34 + t = -5*n. Suppose 48 = 5*l - 32. What is the remainder when l is divided by n? 4 Let a(p) = -11*p**2 - 2*p - 1. Let o be a(-1). Let r(h) = -2*h - 13. Let l be r(o). Let x = 16 - l. Calculate the remainder when 42 is divided by x. 6 Let d = 361 - 344. What is the remainder when 233 is divided by d? 12 Let n(d) = -d**3 + 13*d**2 - 24*d + 38. Calculate the remainder when 112 is divided by n(11). 0 Suppose 0 = -3*v + 4*n + 5, 0*n = -5*v + n - 3. What is the remainder when (5/(20/6))/(v/(-10)) is divided by 46/6 + 1/3? 7 Let y = 2 - -24. Let m(j) = 6*j**2 - 43*j - 196. Calculate the remainder when m(-4) is divided by y. 20 Let h = -12 - -14. Suppose -h*g = 3*g. Suppose g = 3*o - 30 - 6. What is the remainder when o is divided by 7? 5 Suppose -214*q = -199*q - 195. What is the remainder when q is divided by 9? 4 Calculate the remainder when ((-298)/(-4))/((-4)/(-24)) is divided by 64. 63 Suppose -57*s - 170 = -z - 58*s, -2*z + 325 = -3*s. Calculate the remainder when 1335 is divided by z. 166 Let q = 106 + -82. Let h(f) = -1 + 3*f - 4*f + 0*f**2 - 2*f**2 + 2*f**3 - f**3. What is the remainder when h(5) is divided by q? 21 Let p(m) = m**3 + 6*m**2 - 26*m - 59. Calculate the remainder when 121 is divided by p(-8). 16 Suppose 5*p = -5*y - 50, 4*p - 4*y + 5 = -3. What is the remainder when 77 is divided by (-2)/p - ((-115)/15 + 0)? 5 Suppose 2*m + 5*w - 17 = -0*w, -4*w = -2*m + 44. What is the remainder when m is divided by 13/(-78) + ((-86)/(-12) - 0)? 2 Suppose -20 = 5*i, 0 = 2*w + 2*w + 5*i + 68. Calculate the remainder when (-25)/5*w/20 is divided by 2. 1 Let r be -190*-2*(-3)/(-15). Suppose 0 = -4*u - 5*n + 279, 0*u - u + 5*n + r = 0. What is the remainder when u is divided by 36? 35 Let b = 9 + -5. Suppose 0 = b*q - 6 - 26. Suppose q*m - 10*m + 30 = 0. What is the remainder when m is divided by 6? 3 What is the remainder when 218 is divided by 6 - 2/((-6)/147)? 53 Suppose 10*b - 105 = 3*b. Calculate the remainder when b is divided by (-3)/(-2)*(7 - 1). 6 Let g be (9 - 11)/(1/2). What is the remainder when 119 is divided by g/(-4)*(30 + 0)? 29 Suppose -7*r = -3 - 452. Calculate the remainder when 72 is divided by r. 7 Suppose -5*h + j = -58 - 1, -4*j - 5 = h. Let p(k) = 2*k**2 - 21*k - 2. Calculate the remainder when 22 is divided by p(h). 4 Let c = 88 - 86. Suppose 2*y - 24 - c = 0. What is the remainder when y is divided by 3? 1 What is the remainder when 114 is divided by -3 + (-50)/(-15) + 2280/45? 12 What is the remainder when ((-42)/(-5))/(1/5) is divided by (7 - (-195)/(-20))/((-3)/12)? 9 Suppose 4 + 4 = -t. Suppose -17*b - 253 = 495. Calculate the remainder when 43 is divided by t/16*(b - 2). 20 Suppose -4*y - 4*t - 1040 = -9*y, -2*t - 832 = -4*y. What is the remainder when y is divided by 42? 40 Let v = -45 + 36. Suppose 0 = -h + 2*i + 11, -5*i + 15 + 7 = 3*h. Calculate the remainder when (-3)/v + 501/h is divided by 19. 18 Let i = -4 + 6. Let g be (1 - -17)*(21/6 - 3). Suppose 0 = -2*v + 2*z + 2, z + g = 4*v - 2*z. Calculate the remainder when v is divided by i. 0 Suppose 4*l - 3*a = -522 + 21, l + 4*a + 111 = 0. Let j = l + 131. Calculate the remainder when j is divided by 6. 2 Let z(o) = 42*o - 167. Calculate the remainder when z(5) is divided by 27. 16 Suppose z + 256 = 3*z. Calculate the remainder when z is divided by (-8)/8*(15 - 58). 42 Suppose -54*z + 11552 = -1840. What is the remainder when z is divided by 55? 28 Let t = 208 + -145. Let k = 0 + t. What is the remainder when 376 is divided by k? 61 Suppose 0 = 857*k - 853*k - 120. Calculate the remainder when k is divided by 4. 2 Let k(l) = -l**3 - 13*l**2 - 5*l - 32. Calculate the remainder when 196 is divided by k(-13). 31 What is the remainder when 186 is divided by (-36)/((-4 - (-48)/6)/(-3))? 24 Let t(n) = -n - 7. Let k(y) = -1. L
{ "pile_set_name": "DM Mathematics" }
b Let r be 1 + 0*(10/(-6))/5. Suppose -4*d - r + 2 = z, 3*d + 4*z = 17. Let x be -5 + 0 + (-2)/(-2). Which is the nearest to d? (a) x (b) -0.5 (c) 0.5 b Let x(o) = -o - 7. Let q be x(-7). Which is the closest to q? (a) -2/11 (b) -0.3 (c) 0.02 c Suppose x - p = 13, -5*x + 2*p + 5 = -60. Let l be (156/38)/(-8 + x). Let y = l - 8/19. Which is the closest to y? (a) -2/9 (b) 0.4 (c) -5 b Suppose -3*h + 46 - 28 = 0. Let i be 306/420 - h/14. Let k = i - 11/70. Which is the closest to -1? (a) k (b) 1/2 (c) 0.3 a Let t = 1/15 + 13/30. Let j = -156 - -78. Let b be (5 - (-402)/(-78)) + (-38)/j. What is the closest to -1/2 in b, t, 3? b Suppose -18*g + 11 = -25. Which is the nearest to 1/4? (a) -4 (b) 6 (c) g c Let c = -17.1 + 108.1. Let s = 90.8 - c. What is the closest to 0.07 in 12, -4, s? s Let j = -372 - -371.7. What is the nearest to -2/3 in 3/8, -1/2, j, 2/9? -1/2 Let i = -0.5 - -0.8. Let n = 3174 - 3170. Which is the closest to 0? (a) 2 (b) i (c) n b Suppose -4*r = -4*o - 5*r + 4, 5*r = o - 22. Let y = -9 - -28. Which is the nearest to -1? (a) o (b) -1/4 (c) y b Let y = -0.05 - 4.95. Let o be 335 - 329 - (0 - 2 - -7). What is the nearest to 0.2 in -3, y, o? o Let o = -0.336 + -4.664. Which is the closest to -4? (a) -0.1 (b) -9 (c) o c Let r = -20 - -11. Let i = -11 - r. Let o = -1.1 - -2.1. What is the closest to o in i, -4, -4/9? -4/9 Let u be 2 - (-2)/(0 + -2). Let m be u - ((-33)/(-6) - 3). Which is the nearest to 2/5? (a) -3 (b) 2/7 (c) m b Let g = -495.8 - -496. Let b = 0.06 + -2.06. What is the nearest to -0.1 in g, b, -5? g Let m = 0.653 + 3.347. Which is the nearest to 0? (a) 2/5 (b) -3/4 (c) -2 (d) m a Let y = -7/15 + 19/105. Let l = -1.126 - -1.32. Let d = l + -0.094. Which is the nearest to y? (a) d (b) 2 (c) -2 a Let p = 18 + 0. Let d = p + -9. Let o = d + -10. Which is the closest to o? (a) 0.3 (b) 2/13 (c) -0.1 c Let f be -6 - 8/((-96)/68). What is the nearest to f in -1/4, -1/3, -1, 4? -1/3 Let c = -0.6 + -6.4. Let t be (-2)/(-4)*-2*-4 + 3. Let n be (90/(-120))/(t/8 - -1). What is the nearest to 2/7 in 4, c, n? n Let i = 14 - 14.4. Let c = 88/3 - 29. Let x = 141 + -421/3. What is the nearest to i in 0.1, c, x? 0.1 Let f = -510 + 510.34. What is the closest to 0 in -3/5, -4, f? f Suppose -5 = 5*s, k - 4*s - 3 = s. Let o be (k + 4)*(-4)/(-8)*4. What is the nearest to -1/3 in 2/7, o, -0.2? -0.2 Let u = 44/29 + -103/87. Let w = 5.8 - -0.2. Let v = w + -8. Which is the closest to v? (a) -4 (b) u (c) -0.5 c Let w be 4 + -1 - (-68)/64*-4. Suppose 25 = -22*j - 3*j. Which is the nearest to j? (a) w (b) -3 (c) -5 a Let j = -0.5 - -3.5. Suppose 0 = 3*u, -4*u = 4*r + 226 - 2. Let g = -505/9 - r. What is the closest to 1 in g, j, 0.5? 0.5 Let v(r) = r**2 + 6*r - 8. Let s be v(1). What is the nearest to 2.3 in s, 1/10, 3/5? 3/5 Let w be (3/(-5))/(18/(-12)). Let v be 3/(-10) + (-8)/40. Which is the nearest to 0.1? (a) w (b) v (c) 0.19 c Let r = 327 - 326.9. Which is the nearest to -3/2? (a) r (b) -0.03 (c) 0.4 b Let a be (-8 + -1)/(-3)*6/18. What is the nearest to a in 0.5, 3, 23, -0.5? 0.5 Let c = 0.3 - -0.2. Let d(y) = 3*y - 21. Let a be d(6). Let l be ((-12)/18)/(7/a + 1). What is the closest to l in 2, -4/5, c? c Let p be (-24)/56*2/(-3). Let z = -0.8 - -0.3. Let b(t) = -t**3 + t**2 + 91*t - 8. Let m be b(10). What is the closest to p in -1, m, z? z Let x be (-5)/(-1)*(-273)/(-35). Let q = -81/2 + x. Let s = -0.02 + 0.22. Which is the nearest to s? (a) q (b) 0.5 (c) 2 b Let h = -45/367 + 24547/17616. Let q = h - -1/16. Which is the nearest to 0.1? (a) q (b) 14 (c) -1 c Let s = 7/10 + -69/70. Let l = -2.56 + -0.44. Which is the closest to -1? (a) l (b) s (c) -4 b Let o be -3 - (-3)/(-6)*(-3 + 3). What is the nearest to 1 in o, 0, 2/15? 2/15 Let u = -4.61 + 55.51. Let t = -51 + u. What is the nearest to 1 in 12/7, 1/3, t? 1/3 Let z be (-1 - -1)/(3/(-3)). Let s(j) = 4*j + 22. Let x be s(-7). Let l be (-1)/((-6)/(-4)) + (-1)/x. Which is the nearest to z? (a) -4/7 (b) l (c) 5 b Let q = -741 + 741.01. What is the closest to 1/3 in q, -5, -2? q Let p = -2/71 + -116/923. Which is the nearest to 0.02? (a) -11 (b) p (c) -4 b Let v = 3.01 + -0.01. Let h be 614/90 + -2 - 4. Let w = h - 3/5. What is the closest to v in -0.2, w, 2? 2 Let k = 3.108 + -3.1. Let n = 1.008 - k. Which is the closest to n? (a) 0 (b) -5 (c) 5 a Let i be 5/(-11)*2/(-5). Let u = 16805.9 - 16806. Which is the closest to u? (a) -4 (b) -2.7 (c) i c Let c = 1.3 + -19.3. Let i = 29 + c. Let z = i + -10.7. What is the nearest to -1 in 2, z, 5? z Let l = -24.237 + 0.237. What is the nearest to l in -1, -3, 5? -3 Let q = -0.005 - 0.395. Let o = 7 + -7.5. What is the closest to 0.1 in q, o, 0.1? 0.1 Let q = -1682/7 - -240. What is the closest to -0.4 in -1/2, 1/3, q? -1/2 Let o = 10 - 25. Let m = o + 20. Let h = 20/63 - 2/63. What is the nearest to -0.3 in h, 1/4, m? 1/4 Let o = 10.59 + -10.79. Let v = 0.06 + -4.06. Which is the closest to v? (a) o (b) -2/3 (c) -2 c Let t = -0.14 - 0.26. Let u = 25.9 + -26. Which is the nearest to 1? (a) t (b) u (c) 4/7 c Let c = -1.596 - -1.536. What is the nearest to 2/5 in 0.2, -0.05, c, 3/4? 0.2 Let c = 33 + -46. Let g = c + 13.3. Let d = 4 - 3. What is the nearest to d in g, 1, 0? 1 Let i(b) = 24*b - 26. Let f be i(1). Let t = -12/25 + 22/25. What is the nearest to t in -4, f, 0.3? 0.3 Let o = 0.0364 + -0.5364. Let n = -4 + 6. Which is the nearest to -2? (a) 0.5 (b) o (c) n b Let z = -43 + 46. Suppose -6*u - 3*r - z = -3*u, -2*r - 8 = 0. Which is the nearest to u? (a) -1 (b) 1 (c) -4 b Let s = 0.46 + -0.5. Let o = -0.08 + -3.88. Let b = o + s. What is the nearest to 0.2 in b, 4/3, -0.5? -0.5 Let p = -0.482 + 0.282. Which is the nearest to 0.2? (a) p (b) -1/3 (c) -8 a Let x = -927 - -928. What is the closest to x in 0.2, -1, -2/9, -31.9? 0.2 Let m = 0.31 + -0.01. Let n be (-36)/12*6/45. Which is the closest to n? (a) m (b) -4/5 (c) 5 b Let o = 1.2 + -1.2. Let k = -0.1 + o. Let u = -5.1 - k. What is the closest to 2/5 in -1, u, -0.4? -0.4 Let z = -1419/2 - -709. Let f = 0.31 + -0.01. Which is the closest to 0.2? (a) z (b) f (c) -0.4 b Let m = -0.4 + -3.6. Let s = -27 - -26.8. Let n = 0.1 + -0.2. What is the nearest to n in s, 0.5, m? s Let x = -6 + 2. Let k = -639 - -649. What is the closest to -1/3 in k, -3/5, x? -3/5 Let s be (-471)/(-43) + 418/(-38). What is the closest to 1 in 5, 0.3, 1, s? 1 Let y = 27 - 40. Let r = 14 + y. Let q = -0.077 - 0.023. Which is the nearest to 0.1? (a) q (b) r (c) -3 a Let h = -40 - -44. Let g = h - 3.8. Let m be (-10)/4*8/(-10). Which is the closest to 0.1? (a) g (b) m (c) -5 a Let w = -70.6 + 68. Let b = -2.7 - w. Let o(y) = y**2 - 4*y + 5. Let n be o(4). What is the closest to b in n, -2, -1? -1 Let q = 1 - 1.1. Let u be (-1053)/(-45) + 6/(-15). Let v = u - 21. What is the nearest to v in 4, -2, q? 4 Let m = 1/118 + 229/826. Let g be ((-13)/2)/((-3)/(-18)). Let y = g - -118/3. Which is the nearest to m? (a) 0.2 (b) -0.4 (c) y c Let z = -9 + 5. Let h = 694 + -692.868. Let s = -0.132 + h. Which is the nearest to 0.1? (a) s (b) 1/10 (c) z b Let r = -16 - -8. Let c = 12 + r. Let x be 0 - ((-24)/(-20))/3. What is the nearest to x in c, -0.3, 0.3? -0.3 Let r = -0.5 - -1. Let v = 65.32 - 7.22. Let y = -58 + v. What is the closest to y in 0, r, 0.4? 0 Let p = -13284 + 199072/15. Let n = p - -66/5. What is the closest to 0.1 in 0, n, -0.4? 0 Let q(k) = 2*k - 21. Let v be q(6). Let y be 25/60 - (v/(-12))/3. Let x = 0.3 - -1.7. Which is the closest to -0.1? (a) x (b) -0.2 (c) y b Suppose -198*w + 5*t + 50 = -193*w, -5*w + 3*t + 38 = 0. Let i be (-27)/6 - 2/4. What is the nearest to -0.1 in i, 2, w? 2 Let g = 23.1 - 21. Let d = g + -0.1. Which is the closest to -0.1? (a) 0 (b) -1/10 (c) d b Let u = 6.4 - 6. Let i = 2634 + -10533/4. What is the nearest to 0.1 in i, u, 2? u Let j = 27 + -41. Let m = 15 + j. Let y = -7 - -5. What is the closest to m in y, 0.4, 0? 0.4 Let k be ((-2)/(-6))/((-2)/(-18)). Let w(x) = x**3 - 11*x**2 + 9*x + 8. Let n be w(10). Let d be 3/(-3*n/10). Which is the closest to 0? (a) d (b) 0.2 (c) k b Let o = 1.1 + -0.1. Let x = -2 - o. Let p = -2 - -4. What is the closest to x in p, 2/3, 1/2? 1/2
{ "pile_set_name": "DM Mathematics" }
*q + 5*a = -29 - 1 for q. 1 Solve 2*s = 4, 2*s = r + 2*r - 11 for r. 5 Solve 2*t + 4*q - 8 = 0, 4*t + 1 - 8 = q for t. 2 Solve 4*h - 20 = 0, 4*y - 32*h + 12 = -28*h for y. 2 Solve 0 = -4*g - 4, g = 5*b + 6*g for b. 1 Solve -l = 3*j - 11, 2*l + 2 = -2*j - l for j. 5 Solve -n = -w - 8, 0 - 6 = 2*w for n. 5 Solve 3*p = -3*y - 15, y = p - 12 + 13 for y. -2 Solve 0 = 3*o + 6, p + p + 5*o = -3*p for p. 2 Solve -4*k = 3*u - 31, -5*u + 38 - 5 = 2*k for k. 4 Solve -8*r + 5*w + 32 = -12*r, -5*r - 5*w - 35 = 0 for r. -3 Solve 25 - 31 = 2*u + 3*m, -5*u - m = -11 for u. 3 Solve 0 = -16*m + 21*y - 17*y + 52, 0 = 5*y + 25 for m. 2 Solve 4*x + 2 = -2*z, 6*x = -5*z + 11*x + 25 for z. 3 Solve 2 = j + d, -3*j + 82*d + 4 = 84*d for j. 0 Solve 4*m - 16 = 0, -5*m + 2 + 34 = -4*h for h. -4 Solve 3*l = -9, 2*x + 2 = l + 9 for x. 2 Solve -4*t + 3*c + 5 = -0*c, 2*t - 5*c = -15 for t. 5 Solve -3*p - 4 = 5*f + 9, 4*f = p - 7 for f. -2 Solve g + 2*i - 1 + 7 = 0, -5*g + 14 = -i for g. 2 Solve v = 1, 0 = -l - v - 0*v - 2 for l. -3 Solve -4*s + 168 = -2*o + 188, s + 5 = 0 for o. 0 Solve 0 = c + 4, 10*v + 4 = 6*v - 5*c for v. 4 Solve -2*t - 18 = -2*w, 5*w = 21 - 1 for t. -5 Solve -g = 4*v - 19, 53*v - 4*g = 56*v - 11 for v. 5 Solve 2*f + 2 = -4*a - 0*a, -5*a = -2*f + 25 for f. 5 Solve 0 = -5*g + 6*m - 32, 3*m - 7 = -1 for g. -4 Solve 0 = -3*y + 5*i + 23, -3 = 3*i + 9 for y. 1 Solve 5*w + 20 = 3*b, 51*w - 47*w + 2*b = 6 for w. -1 Solve -l + 5*l - 3*i = 4, -3*l - i = 10 for l. -2 Solve -5*m - 5*y = 5, 5 = -4*m - m + y for m. -1 Solve v - 2 = 5*a - 14, 2*v = -2*a for v. -2 Solve 5*u = -16*d + 19*d - 1, 3*u - 9 = -3*d for u. 1 Solve 2*z - 3*o = 5, 21 = -3*z - 13*o + 8*o for z. -2 Solve 4*j - 5*h - 1 = 0, h + 12 = 3*j + 3 for j. 4 Solve -l - 5 = -2*j, j + 5*l - 27 = -2*j for j. 4 Solve -11*m + 9*m + 22 = 4*i, 3*i = -2*m + 17 for i. 5 Solve 4*q - 4*y = 12, q - 1 = -2*y - 10 for q. -1 Solve -3*y - 4*s = -15, -316*y - s = -312*y - 20 for y. 5 Solve 2*o = 10, 2*w - 2 = 2*o - 6 for w. 3 Solve -2*k + 2 = 2*p - 0*p, 5*k + p - 13 = 0 for k. 3 Solve 5 = c + 47*m - 43*m, 5*m = 5*c + 25 for c. -3 Solve 0 = o - 3*r - 9, 4*o - 6 = -0*r + 2*r for o. 0 Solve 2*n - 3 + 14 = -3*r, r + 27 = 4*n for r. -7 Solve -5*u = -3*t + 14, -278*u + 274*u = 16 for t. -2 Solve -5*s + 2*d + 33 = 0, 2*s - 9*d + 20 = 66 for s. 5 Solve m - 5*i - 8 = 0, -2*i + 3*i = -1 for m. 3 Solve f - 8 = -5*u + 3, -2*u - 2 = 2*f for u. 3 Solve -9*f + z = -4*f - 13, z = -4*f + 5 for f. 2 Solve -2*d - 3*d + 33 = -4*o, 11 = d - 3*o for d. 5 Solve 2*k = -3*s + 5, 9 = -k + 3*k - s for k. 4 Solve -5*w = 3*b, -b + 7 = -2*w + 6*w for b. -5 Solve -5*q - 10 = 4*u, -2*q = 3*q + 10 for u. 0 Solve -2*q = 2*q - n - 2, -3*q + 11 = 4*n for q. 1 Solve 0 = 2*m, 5*q - 3*q - m = 2 for q. 1 Solve i = -3*a + 4, 8*i + 16 = 12*i + 4*a for i. 4 Solve 0 = 2*u - 2, -u + 4*u = 4*b - 17 for b. 5 Solve u - 8 = 29*p - 25*p, 3*p = -4*u - 25 for p. -3 Solve -2*z - 15 - 6 = -5*s, 2*z = 3*s - 15 for s. 3 Solve 0 = 5*k + 2*r + 6, 0 = 5*k + 19*r - 14*r + 15 for k. 0 Solve 2*q + 3*x + x = 12, 0 = -q + 5*x - 22 for q. -2 Solve 0 = 2*g - 6, j - 2*g + 14 - 9 = 0 for j. 1 Solve -3*u = -5*x - 20, -29*x + 4 = -28*x + u for x. -1 Solve -5*m = -5, 28*p - m = 26*p + 3 for p. 2 Solve -20*r - d - 14 = -23*r, 2 = -r - 3*d for r. 4 Solve -2*s = 12, q + s + 0*s = -11 for q. -5 Solve -10 = -5*y - 2*w, -w = 5*y - 4*y - 5 for y. 0 Solve -2*s + 5 = j, 3*j + 6 = 3*s + 4*j for s. 1 Solve -2*n = 3*t + 7, -5*n = 5*t - 8*n - 1 for t. -1 Solve 4*j + 12 = -4*p, -3*j = -3*p + 1 - 4 for p. -2 Solve 4*r - 2*x = 16, -5*r + r + 4*x = -20 for r. 3 Solve g = 2*b + 15, -57*b = -52*b + 4*g + 5 for b. -5 Solve 0 = -n - 3*z + 10, -5*n + 4*z = -2*n + 35 for n. -5 Solve 3*c + 5 = -4*d + 16, 4*d - 4*c = 32 for d. 5 Solve -3*j - 3*w = 15 - 0, 2*j - 10 = 2*w for j. 0 Solve 14 = 3*d + r, 4*d - 30 + 18 = 2*r for d. 4 Solve -b - 4 = 0, 2*p = -4*b + 6*b + 8 for p. 0 Solve -o = -2*p - 6, 3*o = -2*p - 3*p - 37 for o. -4 Solve 0 = 2*j + f + 3*f - 18, -3*f = -2*j - 10 for j. 1 Solve 10 = 2*p + 2*f, 5*f - 1 = p + 12 for p. 2 Solve 0 = 2*a, -5*n - 2 = -5*a + 3 for n. -1 Solve 0 = 2*w - 3*v + 6, -3*w - 9*v = -8*v + 9 for w. -3 Solve -3*m + 5*f = 3*f - 5, 0 = -5*m - 4*f - 21 for m. -1 Solve -1 = d - 2*a + 4*a, 3*a = 4*d - 7 for d. 1 Solve -m - 1 = 0, 5*m - 3*m + 2 = -4*f for f. 0 Solve 3*c - 2*c - 4 = -2*p, 0 = -4*c - 4*p + 8 for c. 0 Solve -3*m - 2*j - 18 = 0, 2*j + 11 - 1 = -m for m. -4 Solve 0 = 2*d - 10, 6*j - 20 = j - 5*d for j. -1 Solve 48*w - 2*a = 49*w + 11, 4*w + 2*a = -14 for w. -1 Solve r + 2*w = 11, -4*r + 2*w + 0 + 4 = 0 for r. 3 Solve -2*m - 3*x = -0 + 3, 4*x + 4 = 4*m for m. 0 Solve 2*n = 4*r + 10, 184*n = 3*r + 183*n + 5 for r. 0 Solve -5*x = 5*h - 2*h + 25, 4*x - 4*h - 12 = 0 for x. -2 Solve -3*x - 2*r + 9 = 0, -2*x - r + 9 = 4 for x. 1 Solve 13*q - 8*q - 15 = -j, 3*j = -q + 3 for q. 3 Solve 0 = -4*x - 3*y + 31, 25 = 2*x + 3*y + 2 for x. 4 Solve -5*h - 5*v + 20 = -10*v, 4*h + 5*v = -29 for h. -1 Solve -5*y - 3 = -3*f + 5, 0 = 3*y + 4*f + 28 for y. -4 Solve 1 = -d - l, 2*d + 0*d + 5*l = -8 for d. 1 Solve 2*p - 25*z + 27*z = 0, p = -2*z for p. 0 Solve -2*b + 0*b + 10 = 5*k, 0 = -4*b + 2*k + 20 for b. 5 Solve -5*h + 10 = -5*x, 4*h - 7 - 2 = 5*x for h. 1 Solve 4*s - 16 = 5*p, -2*p - 17 = 2*s - 7 for p. -4 Solve 3*s - 3 + 7 = 5*c, -3*c = -6 for s. 2 Solve 0 = -5*t + 3*m + 11, 0 = 3*t - 0*t - 5*m - 13 for t. 1 Solve 2*p = -8*s - 2, 4*s - 3*p = -0*s - 13 for s. -1 Solve 0 = 4*p - 20, -6 = 2*r - p - 1 for r. 0 Solve z + 5*p - 2 = -38, -4*z = -p - 3 for z. -1 Solve -5 = p + 3*r, 3*p + 4*r = 7*r + 9 for p. 1 Solve 0 = y + 2, 3*b + y = -b - 6 for b. -1 Solve 28 = 71*d - 66*d - 4*m, -m + 18 = 5*d for d. 4 Solve -3*l = -4*z + 14, 20 - 10 = -5*l for z. 2 Solve 0 = -3*z - 2*f - 17 + 8, -9 = -3*f for z. -5 Solve -39*g = -w - 35*g - 13, 3*g - 2 = -7*w for w. -1 Solve -3*c = 5*p + 30, 5 = -c - 2*p - 6 for c. -5 Solve -299*f - 3*h = -294*f + 6, -5*f - 12 = h for f. -3 Solve 5*n = 5*g + 20, -4*n = 4*g - 13 + 29 for g. -4 Solve -u + 2 = 5*f - 2, 3*f - 2 = -u for u. -1 Solve -2*x = -q + 1, 0 = -4*x + x + 3*q for x. -1 Solve 5*k - 12 = -4*q - 3, -2*k + 22 = -3*q for k. 5 Solve 0 = 3*v + 4*f + 39 - 58, 0 = -3*v + 2*f + 13 for v. 5 Solve 20*v + 2*z - 2 = 18*v, 3*v - z + 17 = 0 for v. -4 Solve 4*k - 18 = 3*w, -3*w + 3*k = -w + 13 for w. -2 Solve 2*l + 5*k = 1, -l + 3*k = -0*k - 6 for l. 3 Solve -2*f - 5*c = -13, -10*f + 7*f - 9 = -2*c for f. -1 Solve -5 = 4*g + 4*c - 13, 0 = 2*g + c - 5 for g. 3 Solve -2*s + 9 = -x, -2*x = 5*s - 0*x for s. 2 Solve 34 = 5*m + q + 36, -2*q = 5*m + 4 for m. 0 Solve -w + 8 - 26 = -5*n, 3*n = 2*w + 15 for w. -3 Solve 5*r = 20, -h - 5*r + 142 = 127 for h. -5 Solve 14 = s - 2*f, 3*s + 7 = 6*s + f for s. 4 Solve 0 = -m + 4*d - 1, -2*d = -d - 1 for m. 3 Solve z + 4 = -3*z - 5*a, 4*a + 3 = -3*z for z. -1 Solve l - 2*f = -2, 4*f - 27 = -3*l - 43 for l. -4 Solve -3*m + 4*u - 13 = 3*u, 3*m - 5*u = -29 for m. -3 Solve -2*m + 5*g = -11, 0 = -5*m + m - 3*g - 17 for m. -2 Solve 0 = -2*c + 3*b + 6, -3*c + c + 4*b + 10 = 0 for c. -3 Solve 0 = -3*j - 2*s + 19, -2*j - s + 5 = -7 for j. 5 Solve 2*c = 6*c + 5*k + 25, -5*c = 3*k + 15 for c. 0 Solve 0 = 83*u - 82*u - 4*c + 10, -4*c = -3*u - 6 for u. 2 Solve -180*a + 3*r = -183*a + 18, 0 = 4*r - 12 for a. 3 Solve -69*p = -73*p - 3*q + 22, -2*p - q = -10 for p. 4 Solve d = 4*y + 21, -4*y = -3*d + d + 26 for y. -4 Solve 23*f = 18*f + 5*o - 15, o = 3 for f. 0 Solve -j + 15 = -5*j - z, 0 = -2*j - 5*z - 21 for j. -3 Solve -2*q + 2 = g, 5*q + 3*g - 73 + 66 = 0 for q. -1 Solve -29 + 34 = -5*y + 2*f, -4*y - f - 4 = 0 for y. -1 Solve -5*f = -5, -1 = 3*x - 3*f + 5 for x. -1 Solve 2*p = 5*k + 7, 0 = -k - 0*k - 5*p + 4 for k. -1 Solve -2*b = -4*b + o - 8, -4*b - 5*o = 16 for b. -4 Solve 25 = 4*x - 5*h, -3*h + 33 - 48 = 2*x for x. 0 Solve 3*i = 3*s, 2*i + 21 = 52*s - 57*s for s. -3 Solve -2*v = 3*s - 16, 16*s + 30 = 21*s + 4*v for s. 2 Solve -2 = 5*t - z, 3*z - 9 = -3*t + 7*z for t. -1 Solve 2*s = -4*n - 14, -5*n - 4*s - 11 = 8 for n. -3 Solve r = -5*z - 20, 4*r - 4 = -421*z + 422*z for r. 0 Solve -8 = -a - l, 0 = 3*a - l - 26 + 14 for a. 5 Solve -5*o - 5 = -3*q - 21, 1 = -3*q + 2*o for q. 3 Solve -2*z = 3*b - 13, -3*z - 19 = z - 3*b for z. -1 Solve 5*x - 2*k + 1 = -24, -4*k =
{ "pile_set_name": "DM Mathematics" }
alculate -19 + 745*(-9)/(-315). 16/7 Evaluate ((-9)/(-27))/(((-224)/12)/8 + 6). 1/11 What is 530/925 - 504/840? -1/37 What is the value of (237/395)/((-9)/(27/(-12)))? 3/20 What is the value of 256/14 + -17 + (-2)/7 - -1? 2 What is 3*5/(660/8) - (-72)/(-154)? -2/7 -13 + (-602)/2184*-8*6 3/13 Evaluate ((-2)/(-6)*2/17)/((-23)/(-69)). 2/17 Calculate (-5)/((-1485)/(-6291)) - -21. -2/11 What is the value of ((-8)/(-7))/(-2)*1/((-56)/3724)? 38 Calculate (4 + -5 - (-126)/117)/(-1). -1/13 What is the value of (-2 - 335/65) + 5 - 32/(-208)? -2 What is (5/(-10)*2 - 2) + 14 + -32? -21 Calculate -93*(-10)/12*402/(-1005). -31 What is 2/7 + -30*(-5)/(-35)? -4 Calculate 3/6 + ((-84)/8 - -6). -4 Calculate (-77)/(-77)*1*2. 2 Calculate (-7)/(-252)*8 + (-352)/(-36). 10 What is the value of 3/(-14) - (-297)/693? 3/14 What is (-120)/(-15) + (10 - 45)? -27 What is (4/(-5)*(-291)/(-194))/((-6)/(-45))? -9 What is (-11 - (-12 - -10)) + 30? 21 What is (1/3)/((-9245)/172 + 54)? 4/3 Calculate ((-60)/25)/((-27)/(-360)) + 12. -20 What is the value of (-3 - (-7)/7)*-4? 8 ((-169)/(-39))/(182/588) 14 12/14*(-72)/(-45)*20/(-24) -8/7 What is 1152/6720*98/3 - 4? 8/5 Calculate 10 + -1 - (-166 - -171). 4 (2/4)/((-61)/(-12) - 5) 6 (203/(-21) - -11)/(18/81) 6 Calculate ((-5)/70*40)/(8/(-56)). 20 Calculate 1/(2220/990 + ((-8)/6 - 1)). -11 (-43)/4 + 61/(-244) -11 Calculate 16/(-12)*(-4428)/(-2624). -9/4 What is the value of (-2)/16 - -3*290/696? 9/8 Calculate (36 - 18) + (-27 - 6). -15 What is 96/(-9)*31/124? -8/3 Calculate (-1 - (-26)/20)*1154/(-5193). -1/15 Evaluate (-4)/(-10) - (-3)/(195/(-871)). -13 Evaluate (-5 - (-4)/((-156)/(-189))) + (-145)/(-13). 11 What is the value of 4/((-40)/(-30))*-11*(-5)/(-15)? -11 (-336)/(-88) - (-516)/2838 4 (-18546)/63225 + 1 + 4/(-6) 1/25 What is 2/(-3)*125/1750? -1/21 What is the value of -41 + 27 + (11 - 0)? -3 (780/507)/((-32)/(-208)) 10 Calculate (-1911)/(-1029) + (1 + 1 - 3). 6/7 What is the value of ((-8)/(-10))/(-2 - (-104)/50)? 10 Calculate (18/45*5)/(3/18). 12 Calculate 52/130*28/8. 7/5 What is (-19*120/(-1900))/(((-112)/(-20))/(-4))? -6/7 Evaluate 10 + 18 + (-8585)/306. -1/18 Evaluate (12/72)/(200/96 + (-1)/3). 2/21 What is the value of -19 + 16 + (207/(-135))/(3/(-5))? -4/9 What is the value of (-356)/623*28/(-200)? 2/25 What is 7*(-4296)/(-537)*(-18)/(-56)? 18 Calculate -9 + 3*(54/(-63) - 1104/(-210)). 21/5 What is (-2)/20 + (-146)/(-60) + -3? -2/3 What is 18/(-21)*(6 + (1530/24)/(-15))? -3/2 What is ((-30)/(-4) + -1)/(((-1652)/56)/59)? -13 What is 60/(-110) + (-3)/((-3234)/632)? 2/49 Evaluate (8450/39)/50 + 200/12. 21 ((-3)/4)/((-5832)/(-1728)) -2/9 Evaluate (2/(-12))/(32/(-6)*702/(-624)). -1/36 Calculate -3*19/4332*8. -2/19 What is (-354)/(-6195) - (-1 + (-226)/(-280))? 1/4 (12/16)/(2/(-48))*820/1230 -12 Evaluate 1 + -9 + 3 + (-13 - -1). -17 -1 - 7 - (1/(-12))/((-33)/(-3256)) 2/9 Calculate ((-30)/140)/((-64)/(-80) - 248/(-140)). -1/12 84/56*22/(-33) -1 1360/(-70) + 12 - (-8 - 0) 4/7 What is (1144/(-40) - -6) + 248/155? -21 (468/1638)/(2/(-28)) -4 What is (-38)/3 + (-220)/(-60) + -4? -13 Evaluate 741/(-234) + -3*1/(-1). -1/6 What is the value of 4/26 - (-13)/2028*2? 1/6 Evaluate ((-112)/14 - (-3)/6) + 1/2. -7 Evaluate (-4)/3*(-2340)/720. 13/3 What is the value of ((-30)/(-5))/(-3 + (7 - -35))? 2/13 3/(-9) + (-10)/(-42) - (-121024)/395808 4/19 Calculate (21/(-12) + (-3)/(-4))/(9/6). -2/3 What is the value of 2/6 - 212/159 - (-2)/2? 0 What is the value of ((-225)/300)/(27/(-48))? 4/3 Calculate (-1)/(((-4)/10)/(240/200)). 3 Calculate (24*(-371)/2120)/((-6)/(-5)). -7/2 Evaluate ((-17690)/(-488))/((-30)/24). -29 What is the value of 54/(-45) + (-63)/(-65) - (-77)/52? 5/4 5103/9828*(-24)/(-9) 18/13 ((-2)/(-7) + 0)/(5 + (-1247)/203) -1/4 What is the value of (-9)/(-24) + 5/32*4? 1 What is -6*(((-323)/(-102) - 18) + 11)? 23 What is 0 + 16 + (-2205)/126? -3/2 What is the value of 2/(-13) + (-2)/2418*-264? 2/31 5610/1326 - (7 - (-1 + 4)) 3/13 Evaluate (12441/(-1089) - 2/(-6)) + 19/209. -11 What is the value of (-8)/(-6)*252/(-96)*4628/623? -26 16*(-80)/90 - -14 -2/9 Evaluate 84/437 - ((-360)/(-276))/15. 2/19 Evaluate ((-627)/(-114) - 6)/((-6)/28). 7/3 What is the value of (4403/14)/(-37)*2? -17 Evaluate 4/((2/12)/((-36)/48)). -18 What is 4/50 - 5472/900? -6 What is (-255)/34 - (-22)/(-4)? -13 Calculate (-893)/855 - (-7 - -6). -2/45 Calculate 32/110*(-1230)/(-328). 12/11 What is the value of (-88)/170 + 614/1535? -2/17 What is (-6)/8 + (-8690)/968 + 10? 3/11 Evaluate 14 + ((-15)/((-195)/52) - 4). 14 4/(-3)*((2275/(-98))/25 - -1) -2/21 Evaluate 6/27 + -111*(-20)/(-270) + -4. -12 What is 2*(-4)/(-7)*7? 8 What is (14 - -40)/((188/47)/(4/(-2)))? -27 What is the value of 4 + -1 - 3 - (-6)/(16 - 10)? 1 Calculate ((-4)/((-12)/9))/((-6)/(-170)*5). 17 Evaluate (-19 - (-13 - 7))*-10. -10 Evaluate (45/(-125))/((-18)/360) + -8. -4/5 Evaluate (-3)/(-3) - (30 + -22) - -17. 10 What is ((-30)/150)/((-8)/10)? 1/4 What is 6/16 + ((-861)/(-168) - 5)? 1/2 2/(-17) - (-23 - ((-9480)/340 - 7)) -12 What is the value of (10 + (-328)/16)/((-63)/36)? 6 (684/285)/((-4)/(-10)) 6 Evaluate (1003/(-102) + 10)*(-6)/(-4). 1/4 Evaluate 36/(-20)*(-18 + 26 + -7). -9/5 Evaluate ((-72)/(-225)*5)/((-8)/(-30)). 6 What is 6/82*(-150)/450? -1/41 What is (-1152)/(-2304) + -3*((-479)/(-222) - 2)? 1/37 What is 66/(-17) + (-406)/3451? -4 What is the value of (-1 - -4)*190/(-57)? -10 What is (270/(-24) + 10)/(7/(-28))? 5 What is the value of (53 + -63)*-3*15/(-50)*2? -18 46/276*(-12)/(-2) 1 Calculate 46/(-60) - 1360/(-1632). 1/15 What is (-962)/(-333) + (15/(-5) - 0)? -1/9 ((-24)/504)/((-54)/42) 1/27 What is the value of 124/(-18) - (-10)/(-210)*63/27? -7 Calculate (-13 - (-16 + 15))*(20/8 + -1). -18 Evaluate 9/21 - (-95)/((-13300)/(-3720)). 27 Calculate (-282 + 290 + (-26)/4)/((-6)/(-76)). 19 Calculate (84 + -81)*6/(-22). -9/11 6*5/(-70) + 240/4480 -3/8 Evaluate 9/35 - 35/((-4550)/78). 6/7 Evaluate 4/(-68) - 319/(-13804). -1/28 What is ((-1)/2*-1)/(3983/2276)? 2/7 Evaluate 25/(-18) - 24/216 - 6/(-12). -1 (-7)/(-56)*20/(-25) -1/10 What is -5 - 4 - (-4 + (-3)/(-12))*-4? -24 (0 + 1)/(4260/(-90) - -45) -3/7 Calculate (-4872)/(-210) - (-7 + (-164)/(-20)). 22 Calculate (-69)/(-69) - (-51)/(-33). -6/11 What is the value of 3/2*(-16)/28 + (-41)/(-7)? 5 (0 - 5/(-42)) + 156/(-546) -1/6 Calculate (4 + -8 + 3)/((-53)/371). 7 Evaluate ((-535)/(-90) - (-88)/(-198)) + 2/(-4). 5 ((-33)/2)/((-246)/(-164)) -11 What is the value of ((-20)/(-4) - -1) + (-2162)/368? 1/8 Calculate ((-95)/(-3))/(-19) - (-200)/12. 15 Calculate 46/(-34)*(-24)/(-168)*-119. 23 Evaluate 19 + (5 + -26 - -16). 14 What is the value of ((3/(-15))/((-218)/545))/(1/(-10))? -5 Calculate 18/(-33) - 5950/(-7480). 1/4 (169/338)/(3/42 + 0) 7 Calculate (-3)/((-27)/((-729)/180)*54/16). -2/15 Evaluate 15 + 17 + 6 + (-12 - (3 - 7)). 30 What is the value of ((-28)/(-63)*(-6)/(-100))/(34/(-51))? -1/25 What is the value of (175/(-21) + 6)*-18*4/56? 3 -13 + 27 - 40/6 22/3 What is the value of (-203)/11 + 36/(-66) - 12/(-4)? -16 Calculate (((-288)/(-42))/(-4))/((-2)/14). 12 Calculate ((-9)/6)/((-175)/50) + 115/(-301). 2/43 Evaluate (258/817)/((-3)/(-76)). 8 What is the value of -758 + 771 + (-70)/6? 4/3 Calculate (3126/(-33344))/(26/(-64)). 3/13 What is the value of 0*(11/(-33) + 0)? 0 What is (22/(-1254)*1)/(21/18 + -1)? -2/19 Calculate ((-8)/(-1120)*7)/(-2 - (-2 + -1)). 1/20 (1/(-12))/(6/(-120)) 5/3 3/4*(7*(-90)/(-735))/9 1/14 Calculate ((-121)/(-605))/(52/20). 1/13 Evaluate 27/648*17/(357/12). 1/42 What is (-6)/(-9) - (-37)/111? 1 Calculate (-71 - (-7 - 16))*(20/3)/10. -32 What is the value of 820/20 - 19 - 17? 5 Evaluate ((-8710)/350 - -24) + -5*2/(-35). -3/5 Evaluate ((-1340)/273 + (-94)/(-1833))/(4/(-14)). 17 Calculate 106/5 + -27 + (-27 - 1953/(-35)). 23 Evaluate 110/25*35/56*(-16)/(-20). 11/5 What is (9/2)/((176/32)/11)? 9 (4 - -2)*3*(-13)/(-13) 18 Evaluate ((-39)/(-9) + -3)/((-3010)/129). -2/35 Calculate 122/((-10858)/(-1335))*(0 + (-6)/99). -10/11 Calculate 3/(9/186)*(-8)/(-16) - 0. 31 Calculate (2/(-24))/(11/(-33)) - (-204)/(-240). -3/5 (14/91 - 140/(-104))*(-56)/42 -2 What is the value of (3/(9 + -3))/(20/(-520))? -13 What is 2/(-4)*(190/(-1330))/((-4)/28)? -1/2 What is the value of -2 - 5 - 3/(-9)*-15? -12 What is the value of -22*4/176*(
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 1 o and 3 s? 4/715 Calculate prob of picking 2 j and 2 y when four letters picked without replacement from {o: 7, j: 5, h: 3, y: 2}. 1/238 Calculate prob of picking 2 q when two letters picked without replacement from {v: 7, q: 4, z: 6}. 3/68 Two letters picked without replacement from {c: 7, m: 2, k: 3}. What is prob of picking 2 k? 1/22 What is prob of picking 1 v and 1 n when two letters picked without replacement from {v: 1, d: 2, n: 4}? 4/21 Three letters picked without replacement from urhrrbhuuuhbhrpbruhq. What is prob of picking 1 q, 1 h, and 1 b? 1/76 Calculate prob of picking 2 p and 2 s when four letters picked without replacement from {p: 16, s: 4}. 48/323 What is prob of picking 2 i and 1 p when three letters picked without replacement from gippgppggggpgpgpip? 1/102 Calculate prob of picking 3 o when three letters picked without replacement from {h: 1, o: 3, k: 2, v: 3, t: 2, f: 4}. 1/455 Two letters picked without replacement from {v: 3, g: 2, k: 6, q: 2, x: 1}. Give prob of picking 1 q and 1 x. 2/91 Four letters picked without replacement from {v: 2, p: 8}. What is prob of picking 4 p? 1/3 Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {l: 2, q: 1, t: 2, c: 1, k: 1, v: 1}. 1/7 What is prob of picking 3 o and 1 f when four letters picked without replacement from oopforfoppoofo? 15/143 Two letters picked without replacement from jjjjmmjwmwmw. Give prob of picking 1 j and 1 m. 10/33 What is prob of picking 1 f and 1 w when two letters picked without replacement from {j: 1, f: 3, w: 3}? 3/7 Calculate prob of picking 1 m and 1 w when two letters picked without replacement from mwdmdmdmda. 4/45 Two letters picked without replacement from ttskkkkx. Give prob of picking 2 x. 0 Calculate prob of picking 4 c when four letters picked without replacement from ttttccccqscsccttt. 1/68 Two letters picked without replacement from gfttgtttttttmf. Give prob of picking 2 g. 1/91 Two letters picked without replacement from tahtmjajmhxajhmm. What is prob of picking 1 a and 1 x? 1/40 Calculate prob of picking 1 d, 2 p, and 1 o when four letters picked without replacement from ccppddcppoccdccpcp. 1/68 Four letters picked without replacement from lmmmbbmyfbffbytlbbm. What is prob of picking 3 b and 1 m? 25/969 Two letters picked without replacement from kkkmkkkkkmfkkmx. Give prob of picking 1 k and 1 f. 2/21 Three letters picked without replacement from {z: 7, p: 1, q: 10}. Give prob of picking 3 z. 35/816 Calculate prob of picking 3 g when three letters picked without replacement from qggqgqgqgqqq. 1/22 What is prob of picking 2 o when two letters picked without replacement from eoeov? 1/10 Three letters picked without replacement from {d: 7, v: 2, e: 9}. What is prob of picking 3 e? 7/68 What is prob of picking 1 b and 1 y when two letters picked without replacement from {t: 1, e: 1, y: 2, b: 2, w: 1, c: 2}? 1/9 Calculate prob of picking 1 y, 1 l, and 1 u when three letters picked without replacement from {q: 9, l: 1, u: 1, t: 4, y: 4}. 4/969 What is prob of picking 1 f and 2 k when three letters picked without replacement from kfkfkkfkkf? 1/2 Calculate prob of picking 2 a and 1 m when three letters picked without replacement from {m: 5, a: 7}. 21/44 Calculate prob of picking 1 z and 1 u when two letters picked without replacement from gpusz. 1/10 Two letters picked without replacement from xxxrxxxxxrxxxrx. What is prob of picking 1 x and 1 r? 12/35 Calculate prob of picking 1 v and 2 u when three letters picked without replacement from {q: 2, u: 2, v: 1, d: 1}. 1/20 Four letters picked without replacement from rrmlrwrwlll. Give prob of picking 2 w and 2 l. 1/55 Calculate prob of picking 4 y when four letters picked without replacement from ysyyyyyyyyysyyyyyy. 91/153 What is prob of picking 2 n and 1 q when three letters picked without replacement from {y: 1, q: 3, n: 6, e: 3}? 45/286 Calculate prob of picking 3 e and 1 v when four letters picked without replacement from {v: 6, e: 6}. 8/33 Three letters picked without replacement from {q: 2, b: 2, l: 1, z: 1, k: 2}. Give prob of picking 1 k, 1 z, and 1 q. 1/14 Three letters picked without replacement from {h: 2, l: 9}. What is prob of picking 1 l and 2 h? 3/55 Four letters picked without replacement from cccwwcccwccucuwccwc. Give prob of picking 2 u, 1 c, and 1 w. 5/323 Calculate prob of picking 4 p when four letters picked without replacement from qpnpn. 0 What is prob of picking 2 f and 2 v when four letters picked without replacement from vffffffffffvvfffvf? 91/510 Calculate prob of picking 2 r when two letters picked without replacement from {b: 2, r: 9}. 36/55 Three letters picked without replacement from aaawawwaaaaawawa. Give prob of picking 1 w and 2 a. 55/112 Four letters picked without replacement from {e: 8, r: 2}. What is prob of picking 4 r? 0 Calculate prob of picking 3 f and 1 o when four letters picked without replacement from dddffdfffofdfd. 5/143 Two letters picked without replacement from {h: 1, x: 1, y: 1, u: 6, c: 3, s: 1}. Give prob of picking 1 y and 1 s. 1/78 Calculate prob of picking 1 u and 1 c when two letters picked without replacement from rrrrrdrrcurr. 1/66 Four letters picked without replacement from qnyernp. What is prob of picking 1 n, 1 p, 1 r, and 1 y? 2/35 What is prob of picking 2 d and 1 t when three letters picked without replacement from tdtddddd? 15/28 Calculate prob of picking 2 d when two letters picked without replacement from doodmdddmodd. 7/22 Four letters picked without replacement from ieepepegi. Give prob of picking 4 e. 1/126 Calculate prob of picking 1 q, 1 i, 1 g, and 1 f when four letters picked without replacement from {g: 3, j: 1, q: 6, e: 1, i: 4, f: 1}. 18/455 Calculate prob of picking 1 d, 1 h, and 1 p when three letters picked without replacement from {n: 1, h: 1, d: 1, w: 1, p: 1}. 1/10 Three letters picked without replacement from uhhuuuuuuuuuhuhuhhu. What is prob of picking 3 u? 286/969 What is prob of picking 2 f and 1 l when three letters picked without replacement from wpflf? 1/10 What is prob of picking 2 f when two letters picked without replacement from bfffffffbffbbf? 45/91 Four letters picked without replacement from {o: 14, q: 5}. Give prob of picking 3 q and 1 o. 35/969 Three letters picked without replacement from {m: 2, b: 4}. What is prob of picking 2 b and 1 m? 3/5 Three letters picked without replacement from {g: 5, f: 3}. Give prob of picking 3 f. 1/56 Two letters picked without replacement from {d: 2, g: 3, f: 2, a: 2}. Give prob of picking 1 d and 1 g. 1/6 What is prob of picking 1 t, 1 f, and 1 y when three letters picked without replacement from {t: 6, g: 3, y: 6, f: 4}? 48/323 Calculate prob of picking 2 l and 1 b when three letters picked without replacement from hpuliubl. 1/56 Calculate prob of picking 1 m and 1 h when two letters picked without replacement from hgihmfh. 1/7 Four letters picked without replacement from {e: 14, t: 5}. Give prob of picking 2 t and 2 e. 455/1938 Two letters picked without replacement from uuurrzrruzuu. What is prob of picking 2 z? 1/66 What is prob of picking 1 h and 1 f when two letters picked without replacement from {k: 1, l: 5, h: 6, a: 1, d: 2, f: 1}? 1/20 What is prob of picking 1 x and 1 q when two letters picked without replacement from qxxqqx? 3/5 Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {o: 3, c: 4, m: 2, l: 2, p: 1}. 1/33 Two letters picked without replacement from ihhhhhhhih. Give prob of picking 1 i and 1 h. 16/45 Calculate prob of picking 1 h, 1 q, and 1 m when three letters picked without replacement from {q: 2, m: 1, w: 1, h: 4, p: 3, t: 1}. 2/55 Calculate prob of picking 2 s and 1 c when three letters picked without replacement from sccsssccsscc. 9/22 Calculate prob of picking 3 a when three letters picked without replacement from caaccaacca. 1/12 Calculate prob of picking 1 p and 1 a when two letters picked without replacement from jsazppsh. 1/14 What is prob of picking 1 o and 1 a when two letters picked without replacement from ypdyyydoyyodaa? 4/91 Calculate prob of picking 2 x and 1 v when three letters picked without replacement from {x: 4, v: 2}. 3/5
{ "pile_set_name": "DM Mathematics" }
lest value? (a) 0 (b) v (c) -63 (d) 3 a Let v be (-2)/(14336/1592 + -9). Let j = 1196/3 + v. Let q = -394/15 + 77/3. What is the biggest value in -4/5, j, q? j Let i(b) = 18*b**2 - 15*b + 12. Let t be i(1). Suppose 114 = t*m - 21*m. What is the biggest value in -3, -2/11, m? -2/11 Let l = 146.9 - 155. Let z = 8.3 + l. What is the biggest value in 16, 0, z, -1? 16 Let z = 336 + -1452. Let y = z + 1111. Let p = 1/738 - -3443/738. What is the biggest value in y, -0.4, p, 2/3? p Let d = 0.02834 + 15.23966. Let o = 0.232 + d. Which is the second biggest value? (a) o (b) -2/5 (c) 5 c Let l be 12 + ((-31842)/(-108))/(-29). Which is the fifth smallest value? (a) 0.1 (b) 3/7 (c) l (d) -2 (e) 0.4 c Let s = -9 + 18. Let i = -13.6 + s. Let d = i - -4.3. Which is the third biggest value? (a) -1 (b) 3/4 (c) d a Suppose 18*u + 5 = -s + 17*u, -3*u + 17 = -5*s. Which is the smallest value? (a) -3/5 (b) s (c) 0.3 (d) -13 d Let h = -23588 + 23589. Let q = -1.99 - 0.01. Let j = 7 - 11. Which is the third smallest value? (a) -0.1 (b) j (c) h (d) q a Let h = 13040 + -13046. What is the fourth biggest value in -4, h, -0.1, 21, -2/7? -4 Let s be 12/(-40)*-10*(-12)/90. Which is the second smallest value? (a) 3 (b) -3/2 (c) s (d) 0.12 c Let p = 77 + -79. Let z = -17.09 + 18. Which is the third smallest value? (a) z (b) p (c) -0.2 a Suppose 0 = -60*t - 55 - 65. Which is the second smallest value? (a) -576 (b) -3 (c) t (d) -4 d Let o = -2 - -2. Let j = o + 0. Let n = -130234 + 911636/7. Which is the third smallest value? (a) n (b) j (c) -2/3 b Let m be (-189)/195 - 10/(-13). Let h be (-1)/(-3) + (-2)/4. What is the fourth smallest value in 30, m, 2/3, h? 30 Let p be (7 + -3)/8 + 98/28. Suppose 0 = -p*o - 3*k + 3, 11*k = 10*k + 1. Let x = -1 - -2. Which is the biggest value? (a) o (b) -6 (c) x c Let t = 5.5 + -5. Suppose 7*v + 3*h + 6 = -4*v + 6*v, h = -v. What is the second biggest value in -0.4, t, v, 18? t Let z = 1.98 - -0.02. Let r = -0.14 + -0.04. Let v = r + 0.68. Which is the third biggest value? (a) v (b) -1.4 (c) z (d) -2/19 d Let i = 381.87 - 376.87. Which is the third biggest value? (a) -157.8 (b) 0.2 (c) i (d) 4 b Let r(p) = p**2 + 1. Let k be r(0). Let n = -0.0512 - -339.3512. Let w = n - 339. Which is the smallest value? (a) k (b) -9 (c) w b Let m be ((-1)/(-8))/(8/((-64)/4)). Let r be 0 + 1030/(-18) - 96/(-432). Which is the second smallest value? (a) m (b) -0.3 (c) -2 (d) r c Let s = 0.04 - 4.04. Let y be (52/(-104))/(1/1). Let o = 27 + -32. Which is the third smallest value? (a) s (b) o (c) y c Let t = 5373 - 5373.4. Which is the second biggest value? (a) -1 (b) 1/50 (c) -4 (d) t d Let v be (-1)/(8 + -7) + 5*1. Suppose -6 = -v*d - 3*x + 6, -x = 0. Which is the smallest value? (a) d (b) 4/5 (c) -2/3 c Let x be 1 - (15/6 + -2 + -1). Let y = -31586424 + 207680737224/6575. Let q = y + 2/263. Which is the second biggest value? (a) -1.6 (b) -6/7 (c) q (d) x c Let i = 28 - 27.1. Let s = i - 2.9. Let z = 240 - 239.8. What is the second smallest value in z, s, 2, 4? z Let v = 34.82 + -29.82. Let u(k) = 10*k + 27. Let f be u(-7). Which is the third smallest value? (a) v (b) f (c) 4 a Suppose 0 = -0*l + l + 20. Let j be ((6/(-40))/((-5)/l))/(-3). Let v = -0.5 + 0. What is the third biggest value in 0, j, v? v Let u be 209*3*((-84)/18 + 5). Suppose u = 5*k + 314. What is the third smallest value in k, -6, 0.4, -3? -3 Let i be -1 - (-183)/(-45) - (-8 + 5 + -2). What is the second smallest value in i, 0.4, 2/3, -2/27? i Let v = 0.60516 + -0.10486. Let u = v + -0.1003. Suppose 3*k - 35 = -2*k. What is the fourth biggest value in 3, -3, k, u? -3 Suppose -221*n = -213*n - 40. Let a(g) = g**2 - g + 2. Let v be a(2). Let i be v/2 + 12/(-10). What is the second smallest value in -1/6, n, i? i Let g be 12/(-42) + -18*3/(-336). Which is the third biggest value? (a) -271 (b) g (c) -0.2 a Let m = -180 + 144. Let x = 34 + m. Let s = -2 + 1. Which is the third biggest value? (a) s (b) 1 (c) x c Let i = 26 - 27. Let x = -800.022 + 802. Let n = x + 0.022. Which is the second biggest value? (a) i (b) n (c) 0.1 c Let g be 27/6 + 3819/(-798). Let l(c) = -c**2 + c + 3. Let d be l(0). Suppose -5*s = -d*s + 10. What is the third biggest value in 0.2, g, s? s Let q(o) = -o**3 + 14*o**2 - 42*o + 20. Let i be q(10). Suppose n - 2*n + 4 = i. What is the third smallest value in -1, -3, n, -4/3? -1 Suppose -6*n + 33*n + 15*n = n. Let y = -0.01 - 0.19. Which is the second smallest value? (a) -22 (b) -5 (c) y (d) n b Let f(w) = 79*w - 75. Let v be f(1). Which is the smallest value? (a) 415 (b) v (c) 2 c Let s = 4.57 + -7.11. Let f = 5.54 + s. Which is the biggest value? (a) -0.5 (b) -1 (c) 2/15 (d) f d Suppose 0 = -g + 7*g - 18. Let k = -0.694 - -1. Let x = k + -0.006. Which is the second biggest value? (a) 1/6 (b) g (c) x (d) 2/11 c Let x = -125575/12153 + -2/4051. Let w = -278990 + 2510908/9. Which is the second biggest value? (a) x (b) 0 (c) w c Let s = 1 + 3. Let r = -4.9 + 4.88. Let z = -0.1739 + -0.0261. What is the fourth biggest value in z, s, 1, r? z Let i = 6913 + -6160.9. Let s = -752 + i. Let u be 5/1*(-6)/(-15). Which is the third smallest value? (a) s (b) 5 (c) u b Let h be 12 + (-144)/12 + (-40)/8. Which is the biggest value? (a) -1035 (b) h (c) 3/2 c Let q(n) = 0*n + n - n - 45 + 4*n. Let g be q(12). Let d = 86 + -85. What is the second biggest value in -35, d, g? d Suppose -183 = 4*i - 175. Let v = 11/3 + -4. Which is the second biggest value? (a) 1 (b) v (c) i b Let w(s) = -579*s - 1154. Let c be w(-2). What is the second smallest value in 188, c, -0.1? c Let u = 1555.2 + -1562.2. What is the smallest value in 4, 5, u, 0, 0.2? u Let l = -0.5309 + -0.1601. Let d = l + -0.009. Let v = 0.2 + d. Which is the third biggest value? (a) 0 (b) v (c) 3/2 b Let z = -237 + -14. Let u = z - -246. What is the biggest value in -4, -9, u? -4 Let n = 6 + -6.3. Let m = 315/2 - 943/6. Which is the third smallest value? (a) 0 (b) n (c) -2/15 (d) m a Let j(n) = n**3 + 19*n**2 - 135*n - 1306. Let f be j(-21). Which is the third biggest value? (a) 4 (b) -3 (c) f b Let t = -17 + 12. Let m = 1241.5 + -1241. What is the fourth biggest value in m, -1, t, 6/5? t Let r = -315.62 + 3.22. Let d = -238 - r. Let h = d - 75. What is the second smallest value in -0.2, -0.4, h, -3? h Let a(m) = m - 2. Let g be a(6). Let x be (g - 5) + -4 + 3. Let j be (4/190)/(2/(-30)*3). What is the second biggest value in 4, j, x? j Let k be (-2)/11 - (12/(-1408)*1422 + 12). What is the third smallest value in 0.5, k, 2.1, 5? 2.1 Suppose 4*i + 272 = -40. Let n = -73 - i. Suppose 2*d = 5*b + n - 0, 4*b - 29 = -5*d. What is the third biggest value in 0.01, -5, b? -5 Let t = 417.092 - 0.092. Let n = -415 + t. Which is the second biggest value? (a) n (b) -2 (c) 17 a Let b be (-11)/(-22)*(-10)/(-1). Suppose b*f - 150 = 3*p - 8*p, -3*p - f = -82. Suppose -11*m + p = -7. What is the third biggest value in -0.4, -2/17, m? -0.4 Let u = 2.82 + -230.82. Let j = u + 229. Let x be (-4)/10*(-3 - -2). What is the second smallest value in x, j, 1/3, 2/9? 1/3 Let j = 14 - 13.928. Let s be (-105)/(-20) + 1 + -16 + -15 + 25. What is the second biggest value in s, j, -1? j Let h = -11/12 - -49/12. Let i = 1926 - 1921. What is the fourth smallest value in i, 3, h, -1/10? i Let r = -1.03 + 1.296. Let y = 0.71 - r. Let m = y + 0.056. What is the smallest value in 0.6, m, -2/17? -2/17 Let x be (-864)/(-54) - (5 - -3). Which is the third biggest value? (a) 2/11 (b) x (c) -267 c Let a = 0.1844 - 0.0844. What is the second smallest value in a, 0.4, -0.2, 6? a Let k be 10/8*(-394)/(-985). Let h be 6/(-10)*6/9. What is the third smallest value in k, -1/3, h, -0.01? -0.01 Let z = -0.345 + 1681.345. Let i = z + -1684.953. Let t = -0.047 + i. Which is the smallest value? (a) 1 (b) 8 (c) t c Let r = -15.811 - -16.111. Let u = -2.8 - -3. Let x = 1.1 + -0.1. Which is the third smallest value? (a) u (b) 5 (c) x (d) r c Let x = -0.84 - 0.16. Suppose -27*f = -13*f - 28. What is the third smallest value in f, 1/5, x, -0.3? 1/5 Let l = 126.1 + -0.1. Let n = 136 - l. Which is the smallest value? (a) n (b) 0.1 (c) 2/21 c Let i = 235
{ "pile_set_name": "DM Mathematics" }
3. Suppose 9 = 4*p - 31. What is the remainder when z(33) is divided by p? 6 Let d(u) = u + 7. Let k be d(-5). Suppose 3*g = k*g + 214. What is the remainder when g is divided by -1*7 + 100/((-120)/(-12))*5? 42 Suppose 3*f = 14*c - 16*c + 38, 0 = 2*c - 4*f - 38. Calculate the remainder when 509 is divided by c. 15 Let d(x) = 68*x**2 + 92*x - 414. Calculate the remainder when d(5) is divided by 217. 10 Suppose 59*m - 54*m - v - 17062 = 0, 3*v = 24. Calculate the remainder when m is divided by 107. 97 What is the remainder when 45 is divided by 45/10*(2 + 8 + -4)? 18 Let v = 705 + -675. Calculate the remainder when (((-28)/(-6))/1)/(v/3465) is divided by 18. 17 Let h(y) = 12*y - 33. Let f(j) = -36*j + 105. Let i(m) = 3*f(m) + 8*h(m). Calculate the remainder when 88 is divided by i(0). 37 Suppose -18*y + 15*y = -6*y + 2466. Calculate the remainder when y is divided by 12. 6 Suppose 0 = -649*r + 105769 - 36326. Let q(h) = -34*h - 1. Let t be q(-1). Let v = -22 + t. What is the remainder when r is divided by v? 8 Suppose 0 = -v + 4*v - 3*k - 42, 4*v = -5*k - 16. Calculate the remainder when 1709 is divided by v. 5 Let n = -10359 + 10469. What is the remainder when 118 is divided by n? 8 Let k(d) = 875*d - 92. Let i be k(12). Suppose -48*h + i + 1448 = 0. What is the remainder when h is divided by 25? 22 Let r(n) = 50*n - 3. Let t be r(2). Suppose -17 + t = 4*i. Let k(v) = -5*v**3 - 62*v**2 - 184*v - 6. Calculate the remainder when k(-4) is divided by i. 18 Let q(k) = -5*k - 7. Let c be q(-4). Suppose -c = -5*n - 8. Suppose -n = h - 17. Calculate the remainder when h is divided by 9. 7 Suppose 11*a - 55 = 6*a. Suppose -62 = -2*h - 2*b, 2*h + b - 47 = a. Suppose 3*p = h - 3. Calculate the remainder when 21 is divided by p. 5 Let p = -12452 - -15326. What is the remainder when p is divided by 30? 24 Let r(h) = -7*h - 18. Let o be r(-3). What is the remainder when (-3)/(o/4)*972/(-144) is divided by (45/(-12))/(3/(-8))? 7 Let k be (-5 - (-78)/15) + (-32)/10. What is the remainder when 29 is divided by -4*k/6*119/14? 12 Let w(b) = 14*b**3 + b**2 - b. Let m = -19367 - -19421. Calculate the remainder when m is divided by w(1). 12 Let f be 15*(2 + (-4)/(-3)). Let i be (-25)/(-25)*9*-5. Let z = f + i. What is the remainder when 27 is divided by z? 2 Suppose -3 = -3*w + 3, -3*w + 67 = u. Calculate the remainder when 9019 is divided by u. 52 Suppose 623 + 577 = 300*t. Calculate the remainder when 187 is divided by t. 3 Let j(o) = -o**3 - 11*o**2 + 47*o + 133. What is the remainder when j(-18) is divided by 130? 125 Let x(m) = 5*m**2 - 2*m + 2. What is the remainder when (((-4794)/10)/17)/(1/(-5)) is divided by x(3)? 18 Suppose 3*g + 265 = y, 5*y + 0*g + 8*g - 1371 = 0. What is the remainder when y is divided by 55? 51 What is the remainder when (-8)/10 - ((-43548)/60 - 11) is divided by 74? 70 Suppose -p + 43 = s, 1009*s = 1011*s + 5*p - 86. Calculate the remainder when 8599 is divided by s. 42 Let p = 951 + -773. Calculate the remainder when 713 is divided by p. 1 Calculate the remainder when 24/36 - (-122)/6 is divided by -8 + 488/192*3 - 91/(-8). 10 Let v = 43 + -35. Suppose 59*u - 58*u - v = 0. Suppose -14*f + u*f + 102 = 0. What is the remainder when 47 is divided by f? 13 Suppose 22*n - 430 = 12*n. Calculate the remainder when -6 + n + -1 + -2 is divided by 26. 8 Let t = -77 + 46. Let w = t + 31. Suppose w = 8*p - 11*p + 144. Calculate the remainder when p is divided by 17. 14 Suppose -4*s + 315 + 142 = 65. Suppose 0*j - j = 5, 0 = -2*i - 2*j. Calculate the remainder when s is divided by i. 3 Suppose -19*r + 44743 + 17150 = -2631. What is the remainder when r is divided by 37? 29 Let b be 328/(-12)*6/4. Let w(a) = -a**2 - 13*a + 215. Let t be w(-20). Let d = b + t. Calculate the remainder when 65 is divided by d. 31 Let b(q) = -2*q + 12. Let l be b(4). Suppose l*i - 270 = -i. Suppose -15*h - 4*h = -361. Calculate the remainder when i is divided by h. 16 Let o(w) = 8*w**3 - w + 1. Suppose 4 + 10 = 7*c. Suppose 0 = c*v + 8, y + 3*v + 42 = 4*y. What is the remainder when y is divided by o(1)? 2 Suppose 0 = -3*h - 2*s + 112, 2*h + 905*s - 98 = 907*s. Calculate the remainder when 218 is divided by h. 8 Let f(o) = o**3 - 12*o**2 + 43*o + 3. Calculate the remainder when f(7) is divided by 15. 14 Suppose -2*b - 8 = -3*c, 15*b - 11*b - 12 = -c. Suppose -797 = -c*o - 2*i + 79, -2*o - 5*i = -454. Calculate the remainder when o is divided by 17. 13 Suppose 123*w - 104*w = 13186. What is the remainder when w is divided by 330? 34 Let b = -11395 - -12058. What is the remainder when b is divided by 60? 3 Suppose -1024 = -4*k - 2*x, 512 = 2*k + 3*x - 6*x. Suppose -31*d - g + k = -29*d, -5*d + 662 = -3*g. Calculate the remainder when d is divided by 41. 7 Suppose -5*y + 3 = z - 38, -4*z + 3*y + 72 = 0. What is the remainder when 1133 is divided by z? 20 Let j be 0 + 0 + 0/(-5). Suppose j*k + 2*k - 22 = 0. Suppose 2*f - 2*q = 70, 112 = 4*f - 56*q + 59*q. What is the remainder when f is divided by k? 9 Let x be -3 + (5 - 2) - -154. Suppose -9*y = -7*y - x. What is the remainder when y is divided by 16? 13 Let q(o) = -o**2 + 99*o - 1832. Calculate the remainder when 698 is divided by q(27). 26 Let v(o) = -6*o + 42. Let z be v(7). Let n be (5 - 5)*(2/4 - z). Suppose n = 2*k + 6*k - 104. Calculate the remainder when 25 is divided by k. 12 Let k = 31 + -51. Let o = 534 + -505. Let j = k + o. Calculate the remainder when j is divided by 6. 3 Let l(g) = g**3 + 7*g**2 - 10*g - 2. Let h be l(-8). Let w be (22/4)/(-4 + 49/h). Let c = 29 + w. What is the remainder when 70 is divided by c? 16 Suppose 6*k = 7*k - 57. Suppose -k = -2*f - 15. Let y = 136 - 99. Calculate the remainder when y is divided by f. 16 Suppose 9496 = 143*c - 9*c - 7254. What is the remainder when c is divided by 113? 12 Let o(y) = -5*y + 28. Let d(m) = 11*m - 54. Let a(q) = 6*d(q) + 13*o(q). Calculate the remainder when 77 is divided by a(-27). 12 What is the remainder when -2 - -20 - -2051 - (-3)/((-9)/(-6)) is divided by 37? 36 Suppose -2*s - 98 = -428. Suppose -3*x = 2*o - 113, o - 3*x + s = 4*o. Calculate the remainder when o is divided by 7. 3 Let n(x) = x - 27. Let u(a) = 28. Let h(f) = -3*n(f) - 4*u(f). Let y be 7 + (-17)/(102/36) + -18. What is the remainder when 198 is divided by h(y)? 18 Let f be (-14)/(-63) + (-21726)/81. Let k = 305 + f. Calculate the remainder when k is divided by 15. 7 Let s(k) = 94*k**2 + 5*k - 5. Let m be s(3). Let q = m - 716. Calculate the remainder when q is divided by 64. 12 Let d = 472 + -438. Calculate the remainder when 187 is divided by d. 17 Let f(n) = 4*n**2 - 14*n - 13. Let c be f(7). Let l = c + 55. Calculate the remainder when l is divided by 29. 24 Suppose -3*m + 1172 = -5*y, -y + 2*y = -3*m + 1202. Suppose 10*z = m + 121. Let b(j) = -j**3 + 10*j**2 - 7*j. What is the remainder when b(6) is divided by z? 50 Suppose -23*x + 4674 = -4*x. What is the remainder when 30 is divided by x/24 + 15/(-12) - 4? 0 Let f = -58 - -91. What is the remainder when 35/(14/(-2)) - (-3 + -131) is divided by f? 30 What is the remainder when 228 is divided by (-10)/3*3*(-2233)/406? 8 Suppose -7*j + 4*j + 12 = 0. Suppose 0 = j*r + 3*d - 25, -3*r + 1 + 22 = -2*d. Let k = -339 - -378. Calculate the remainder when k is divided by r. 4 Suppose -3*b + 39 = o, -o - 284*b + 287*b = -99. Suppose 4*c + 2*h = -3*h + 92, 4*c = -2*h + 92. Calculate the remainder when o is divided by c. 0 Let k = 4451 + -3740. What is the remainder when k is divided by 23? 21 Suppose -5*i = 5*d - 410, 5*i + 0 = d - 58. Let j = 122 - d. Let t = 64 - j. Calculate the remainder when 73 is divided by t. 13 Suppose -2*d - s + 30 + 93 = 0, -4*d = -5*s - 295. Calculate the remainder when 4807 is divided by d. 62 Suppose -17*q = 7*q - 48. Suppose q*r - 130 = -3*u - 0*u, 55 = r - u. Calculate the remainder when 176 is divided by r. 58 Let q be 12/8 + 742/28. Suppose 0 = -q*k - 1187 + 3875. What is the remainder when k is divided by 25? 21 Let j = 284 + -267. Let a = 30 - -16. Let o = 123 - a. Calculate the remainder when o is divided by j. 9 Suppose 0 = 2*k + 2*k - 72. Let y = -23175 + 23181. What is the remainder when k is divided by y? 0 Suppose 0 = 23*a + 74*a - 14037 + 3464. What is the remainder when 8937 is divided
{ "pile_set_name": "DM Mathematics" }
- 200 = -158, -8 = 5*i + 2*f + 7 for i. 1 Solve 0 = -4*w + 3*l + 14, -42339 + 42341 = -2*w - 7*l + 4*l for w. 2 Solve 10*p + 802 = -y, 2635 = -13*p - 3*y + 1589 for p. -80 Solve -4*f + 5528 - 5561 = -5*c, 3*f + 30 = 9*c for c. 1 Solve 2*r + 5*b = 10, -609 + 613 = -3*r + 2*b for r. 0 Solve 820*s + 2*m = 818*s + 32, -2*m + 34 = 4*s - 4*m for s. 11 Solve 5*h = -15, -32320*j + 32325*j - 4*h + 3 = 0 for j. -3 Solve 0*h + 4*h = 2*h + 8, -4*n + 937*h = 927*h + 64 for n. -6 Solve -350*f - 115 = y - 342*f, -15 = f for y. 5 Solve -42 = 3*c - 2*l, -4*c + 50568197*l - 50568196*l - 31 = 0 for c. -4 Solve -3*h - 22*s + 1348 = 1552, -h + 10*s + 21*s = -277 for h. -2 Solve 31 - 142 = -66*r + 5*m + 189, -r = -5*m + 25 for r. 5 Solve -110*c + 121*c = 2*w + 12 + 117, -5*w + 5*c - 210 = 0 for w. -37 Solve 5*d = 3*x - 345, -x + 3259*d = 3282*d - 189 for x. 120 Solve 870*r - 874*r - 54 = 2*v, 2*r + 9*v + 35 = 0 for r. -13 Solve -4*f + 93 = h + 86, -4*h - 3*f = 9*h - 42 for h. 3 Solve 0 = 2*i - 5*m + 41, -35*i - 17*m = -14*i - 22*i - 151 for i. 2 Solve 4*s - 5*f = -60, -106270 + 106238 = 4*s + 2*f for s. -10 Solve 5*v - 319*n = -312*n + 122, 8 + 18 = -3*v - 2*n for v. 2 Solve -540*t + 545*t = -2*b - 122, -989 + 121 = 36*t + 4*b for t. -24 Solve -3*n = -5*z - 35, 9*n - 2976*z + 2981*z - 85 = 0 for n. 10 Solve r = -3*r + p - 0*p + 19, 6*r - 46 = 3*p - 19 for r. 5 Solve -13105*n + 5*v - 57 + 152 = -13102*n, -2*v = -12*n + 38 for n. 0 Solve 3*k - 4*f - 9376 + 9223 = -0*k, -2*k - 6*f - 262 = 0 for k. -5 Solve -4*q + 4*r + 346512 = 346488, -3*r - 18 = -q for q. 0 Solve -6*c - 6*c + 260 = -69*a - 7*c, -2*a - 2*c - 29 = -3*a for a. -5 Solve -2*y + 3*y - o = 2*y - 17, 5361*o - 5360*o - 20 = -8 for y. 5 Solve 14*q - 13*q + 55 = 4*a, -9*q - 54 = -4*a - 7*q for a. 14 Solve 3*m + 528 - 351 = 12*d, -5*d + 67 = m for d. 14 Solve 3*a - 193 + 11 = 3*u + 116 - 94, 23*a = u + 68 for a. 0 Solve 0 = 4437*t - 4434*t + 2*o + 25, 0 = t - 3*o - 10 for t. -5 Solve 654*z = a + 715*z + 122, -3*z = -5*a + 6 for a. 0 Solve -2073 = -3*k + 2*v - 2048, 7*k + 3 = -3*v for k. 3 Solve -208 = 8*w + 2*x, -4*w + 544670 = 2*x + 544778 for w. -25 Solve 114*y - 76*y + 5*a = 8, 4*a + 30 = -5*y + 11*y for y. 1 Solve 5*a + 6 + 28 = -10*c + 19, 25 - 13 = -5*c - a for c. -3 Solve 1446 = -467*o + 169*h - 85*h - 83*h, 0 = -4*o + h - 57 for o. -3 Solve -u + 106*x - 101*x + 6 = 9, 0 = 10*x for u. -3 Solve 15*s + 7*g + 94 = 6*g, 0*s + 0*s - 476 = 14*g for s. -4 Solve 27*v + 2*z = -71, 2*v + 15706*z - 4 = 15704*z for v. -3 Solve -6*x - 7 = 3*j - 2*x - 91, 5*x - 216 + 967 = 23*j for j. 32 Solve 16*h - 3*f - 48 = -2*h, 13*h - 32*h + 15*h + 9*h - 19 = -2*f for h. 3 Solve 0 = -4*m - 0*m + 16*u + 112, 0 = 5*m - 6*u + u - 41978 + 41913 for m. 8 Solve 57*s - 59*s = 9*y - 4, 4*s = 2*y + 8 for y. 0 Solve -5*s + 64*f = 61*f + 106, 31*f = -s + 1148 for s. 1 Solve -231427*y + 231422*y = 2*a - 43, 0 = 3*y - 15*a + 282 for y. 1 Solve -5*m + 2*d = -153, 179*d = 207*d - 28 for m. 31 Solve 2*c + 57298*b = 57299*b - 2, -3 = 3*c - 11*b for c. -1 Solve -2*c + 5*i = 4, -8*c - i - 38460853 = -38460921 for c. 8 Solve 40 = 5*w - 2*a, -3*w - w = -608*a + 612*a - 4 for w. 6 Solve d - 4*r = -95, -14*d = 10*d - 21*d + 5*r - 131 + 25 for d. -3 Solve -3*k - 239*f = -8*k - 235*f - 50, 70 = 14*f for k. -6 Solve -4*u + 3*x = 26, -11*u + 9*u + 4*x + 30 = -5*u + x for u. -8 Solve -2*u + 50 = 10*o, -18275506*o - 40 = -18275511*o - 4*u for o. 4 Solve -5*v + 3*s - 177 = 0, -91214*v - 146 = -91210*v + 2*s for v. -36 Solve 22 = -3*k + 5*u, 81069*k + 16 = 81070*k + 3*u for k. 1 Solve -12*s - 71 = -2*s - 7*s - 7*u, -u = s - 3 for s. -5 Solve 0 = -2*k - 4*f - 50, -238*k - 9 = -241*k + 3*f + 42 for k. 3 Solve n - 58 = -5*u, 51*n - 6500*u + 200 - 50 = -6496*u for n. -2 Solve -n + j + 689 = 325 + 362, -5*n + 4*j = -7 for n. -1 Solve -4*p - 11290 = 8*h - 11706, -h - 4*p = -59 for h. 51 Solve -57 = 3*m - 3*o, -o + 79 = -70*m + 65*m for m. -15 Solve 4*x + 36 = -3*j, x - 2*x - 6942*j + 4 = -6938*j for x. -12 Solve 3*z + 421 = -49*g + 604, 6 + 3 = -5*g + 2*z for g. 3 Solve 0 = 16*c - 3*q + 204, 64 = -4*c + 30647*q - 30643*q for c. -12 Solve -5*r - 4*k - 92342 = -92236, -2*k = r + 26 for r. -18 Solve k = -3*t + 20, 2*t - 43 = -5*k + 6*t for k. 11 Solve -38*y - 3*w - 20 + 42 + 33 = -34*y, 3*y = 5*w + 34 for y. 13 Solve 5*b - 5627060 = -3*z - 5627070, -4*b = 5*z + 21 for z. -5 Solve 0 = 2*o + 4*m + 82, 0 = 93*o - 43*m + 46*m + 3813 for o. -41 Solve 2*r = 47*a - 43*a + 100, 79*a + 4*r - 26 = 0 for a. -2 Solve 45*j - 6981 + 6857 = -4*n, j - 2*n - 32 = 0 for j. 4 Solve 4*y - 108 = 3*q - 2*y + 3*y, 5*q - 6*y = -115 - 98 for q. -3 Solve 6*v = 7*i - 168 + 453, 3*v - 76 = -i - 109 for i. -39 Solve 2*i + 259 - 235 = 0, -2*p - 90 = 8*i for p. 3 Solve -19*q - 354 = -79722*f + 79725*f, 2*f + 62 = -3*q for f. -4 Solve 11*l + 0*l = 5*n + 7, 158*n - 13*l + 6*l = 162*n - 5*l + 38 for n. -8 Solve -4*a + 12 = 4*q, 6860*a + 57 = 6855*a + 4*q for a. -5 Solve -4*m + 41 = -3*q, -106*m + 196*m = 7*q + 97*m + 63 for q. -11 Solve 5*r - 25 = -4*b, -5*b - 7641*r + 20 = -7637*r for b. 0 Solve -5*d = -5*u - 50, 3*u - 262*d - 10 = 4*u - 260*d for u. -10 Solve b - l - 4 - 9 = -2, 4*b + l + 10 = 4*b for b. 1 Solve o + 3*w = 22, 3*o + 11*w - 13*w = -305 - 348 + 620 for o. -5 Solve 10*v - 14*d = -92, 3*d - 31 = 38*v - 37*v - 9 for v. 2 Solve -5*l + 32031 = -w + 32044, -2*l - 34 = 14*w for l. -3 Solve 4 = 6*x + 22, -4 = -22*w + 23*w - x for w. -7 Solve 6*k - 1189 = -7*t - 1145, k + 8 = -5*t for t. -4 Solve t - 83*v + 35*v + 1 = -38*v, 4*t - 164 = -2*v for t. 39 Solve 4*u + 16*a - 11 - 13 = 0, -110*a + 12 = -106*a for u. -6 Solve -6*h + 5 = 29*x + 31*h - 20*h, -4*x - h - 3 = x for x. -1 Solve 0 = 2*b - 2*p - 26, 187 = -p + 173 for b. -1 Solve -2*g - y = -g + 21*g - 391, 0 = -5*g + 4*y + 110 for g. 18 Solve 536*a - 534*a = -2*l + 12, -10*l - 21*a + 16 = 0 for l. 10 Solve 59*v + 62*v - 123*v + 27 = d, 75 = 4*d + 5*v for d. 5 Solve -k + 5*l = 65, -14*k + 33*l = -37*k + 577 for k. 5 Solve 0 = -5*a, -4*c - 38 = 5*a - 18 for c. -5 Solve 44*d - 30*d = 42, 0 = 17*u - 13*u + 14*d - 10 for u. -8 Solve 2*z = 6*t - 10*t - 132, 28*t = 23*t + 3*z - 187 for t. -35 Solve -3*v - 57*w + 30*w + 11 = -23*w, -2*v + 3*v + w - 3 = 0 for v. 1 Solve 5*x + 106*g + 56 = 0, -x + 453*g = x + 456*g - 17 for x. 10 Solve -37*t - 70 = -7*l + 6*l, 4*t = -0*l - 3*l - 20 for t. -2 Solve 4 = -3*y + 5*v, -y + 2*y + 28*v - 59*v = -30*v for y. 2 Solve -3*v + 2*r - 11 = 0, v + 0*v = -6*v - 2*r + 7850 - 7809 for v. 3 Solve 0 = -2*z - 4*h - 126824775 + 126824731, -3*z - 28 = 4*h + 20 for z. -4 Solve -3*t - 6*l = -387, -105327*l + 105329*l = 4*t + 104 for t. 5 Solve -3*s + 5*j + 23 = 0, 46968*s - 2*j = 46871*s - 374 for s. -4 Solve 8*u + 26705 = -4*q + 26829, -4*u + 4*q = -80 for u. 17 Solve q - 12 = -5*u + 15, 0 = -2*u + 4*q + 4448 - 8983 + 4493 for u. 3 Solve h = -4*y + 2 + 4 + 25, -4189*y = h - 4194*y - 31 for h. 31 Solve 0 = -22*h + 26*h - 3*d + 2 - 10, -2*d = 4*h - 28 for h. 5 Solve 36*q - 83*q + 21*q + 45 = -5*u - 31*q, 3*u - 4*q = -48 for u. -12 Solve -3*v = 22*k + 764, -k + 0*k + v + 963 = 1000 for k. -35 Solve 20 = 2*h - 5*y, 3*y - 21244 + 21256 = -5*h for h. 0 Solve 0 = x + 5*f - 67 + 50 + 37, -173*f = 5*x + 840 for x. 5 Solve 0 = -5*h - 2*f + 129, 0 = 4*h + 4*f + 37234 - 37342 for h. 25 Solve -2*f - 37 = 3*a, 11267*a = 11272*a - 4*f + 91 for a. -15 Solve 37*x + 1092 = v + 44*x + 1040, -3*x + 27 = 2*v for v. 3 Solve 4*v + 108 = -4*z, 5*z + 2*z + 2*v + 4*v = 8*z - 127 for z. -5 Solve -5*w + t - 780 = -773, 0 = -34*w + 5*t - 53 for w. -2 Solve s + 8*x + 16 = 0, -17*s + 48*s - 26*s - 3*x = -2*x + 2 for s. 0 Solve -11*u + 55 = 0, 2835 - 3230 = 5*l - u for l. -78 Solve -389*b = 4*t - 398*b + 202, 4*b - 85 = -3*t for t. -1 Solve -q + 3*r + 185 = 0, -8*q + 1793 = -9*q - 32*r - 122 for q. 5 Solve p + 0*p - 115 = 5*v + p + 5*p, 146*v + 193 - 6 = 5*p for v. -2 Solve 2*d - 7*u + 8*u - 189 = 0, 4*d - 205 = 3*u + 188 for d. 96 Solve -2*h - 836 = v - 830, 4*h - 36 = -8*v + 10*v for h. 3 Solve 2*v = 25*q - 12*q - 46, -2*q + 5*q - q - v - 5 = 0 for q. 4 Solve -8 + 145 = 406*m - 402*m - 5*n, -m + 4*n + 37 = 0 for m. 33 Solve 3*f + 1769465*n = 1769466*n + 1, 4*f - 6*n - 20 = 0 for f. -1 Solve -18*g - 3*g - 26 = -h + 290, -2*g - 38 = 5*h - 13 for g. -
{ "pile_set_name": "DM Mathematics" }
305 What is the next term in 23044, 183817, 620204, 1470013, 2871052? 4961129 What is the next term in -2467, 4789, 16897, 33857? 55669 What is the next term in -102377, -410049, -922835, -1640735, -2563749? -3691877 What is next in -34219659, -34219663, -34219669, -34219677? -34219687 What comes next: -2095, -4049, -6003, -7957? -9911 What is the next term in -1619602, -1619580, -1619558, -1619536? -1619514 What is the next term in -22825, -22809, -22783, -22747? -22701 What is the next term in -1619, -1481, -1107, -377, 829? 2631 What is the next term in 3581834, 3581818, 3581802? 3581786 What is next in 177880, 711492, 1600838, 2845918, 4446732, 6403280, 8715562? 11383578 What is next in -59693, -119366, -179061, -238790, -298565, -358398, -418301, -478286? -538365 What comes next: -75050, -150096, -225156, -300230, -375318, -450420, -525536? -600666 What is next in -205, -867, -1529, -2191? -2853 What comes next: -15839, -31696, -47553, -63410, -79267? -95124 What is the next term in 120161, 480329, 1080609, 1921001? 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{ "pile_set_name": "DM Mathematics" }
b(f) = -5*f**3 + 3*f**2 + 4. Let n(w) = p*b(w) + 6*j(w). Factor n(k). -(k - 2)**2*(k + 1) Let l(a) = -a**2 - 4*a + 14. Let u be l(-6). Determine s, given that 2*s**3 + 5*s**5 - 4*s**u - s**5 + 10*s**4 + 58*s - 58*s = 0. -2, -1, 0, 1/2 Let i(z) be the third derivative of -z**9/302400 + z**8/33600 - z**7/8400 + z**6/3600 - z**5/60 + 4*z**2. Let j(c) be the third derivative of i(c). Factor j(r). -(r - 1)**3/5 Let x(q) = -q**3 - 6*q**2 - 5*q - 1. Let h be x(-5). Let k be h - (-12)/((-6)/(-2)). Determine v, given that -3*v**4 + 6*v**3 + k*v - 3*v**2 - v - 2*v = 0. 0, 1 Let k(s) = 2*s**2 + 7*s. Let z(a) = 6*a**2 + 20*a. Let o(y) = -14*k(y) + 5*z(y). Solve o(w) = 0 for w. -1, 0 Let o(t) = 18*t + 1. Let u be o(2). Let -39 - 2*v - 4*v**4 + u + 3*v**3 + 6*v**2 - v**3 = 0. What is v? -1, -1/2, 1 Let y(m) be the first derivative of 0*m**2 + 0*m - 8/3*m**3 + m**4 - 6. Solve y(r) = 0 for r. 0, 2 Let q(o) be the second derivative of o**5/110 - o**4/66 - 2*o**3/33 - 7*o. Determine l, given that q(l) = 0. -1, 0, 2 Suppose 2/9*l**4 - 10/9*l**3 + 2*l**2 - 14/9*l + 4/9 = 0. What is l? 1, 2 Let p be -8*4/(-128) + 1/28. Factor -p*z**2 + 0*z + 0. -2*z**2/7 Let j(l) be the third derivative of l**7/3780 - l**6/180 + l**5/20 - l**4/3 + 4*l**2. Let k(x) be the second derivative of j(x). Solve k(h) = 0 for h. 3 Let a be (12/9)/((-4)/(-12)). Suppose a = -5*g + 24. Suppose -3 - 12*r**3 - 2*r**4 - 12*r + 0*r**4 - 2*r**g - 18*r**2 + r**4 = 0. Calculate r. -1 Let m(z) be the third derivative of z**5/12 - 5*z**4/24 - 5*z**3/3 + 23*z**2. Suppose m(o) = 0. Calculate o. -1, 2 Let m(j) be the first derivative of j**5/10 - 3*j**4/8 + j**3/2 - j**2/4 + 14. Factor m(s). s*(s - 1)**3/2 Let a(b) = 3*b**3 - 77*b**2 + 216*b - 216. Let p(k) = 8*k**3 - 192*k**2 + 540*k - 540. Let u = -15 - -20. Let h(d) = u*p(d) - 12*a(d). Factor h(x). 4*(x - 3)**3 Suppose 3*v - 23 = 5*r - 0*r, -20 = -3*v + 2*r. Let n = 6 - v. Solve 0*p + n - 1/5*p**2 = 0 for p. 0 Let v(r) = -r**2 - 4*r - 3. Let y be v(-3). What is h in 0*h**2 - 2*h - 1 - h**2 + y = 0? -1 Suppose 13 = 4*p + 3*t, -4*p + 7*p = -2*t + 10. Factor 6*s**3 + 21 - 3*s**p - 3*s - 24 + 0*s**2 + 6*s**2 - 3*s**5. -3*(s - 1)**2*(s + 1)**3 Let a be 6*(-2 + (-3)/(-2)). Let z be a/(-6)*-2*-2. Let 0 + 14/5*j**3 + 4/5*j + 18/5*j**z = 0. What is j? -1, -2/7, 0 Let b(h) be the third derivative of h**5/570 + 5*h**4/228 - 38*h**2. What is l in b(l) = 0? -5, 0 Let y be 22/11 + (-1 - -1). Find p, given that -1/4*p**5 - p**3 + 1/2 - p**4 + 1/2*p**y + 5/4*p = 0. -2, -1, 1 Determine y, given that -4/7*y**2 - 6/7*y**3 + 0*y**4 + 2/7*y**5 + 0 + 0*y = 0. -1, 0, 2 Let y(h) be the first derivative of -4*h**5/15 - h**4/3 + 8*h**3/9 - 1. Factor y(z). -4*z**2*(z - 1)*(z + 2)/3 Suppose 0 = 4*s + 5*c - 92, -4*c - 1 = -17. Factor -s + 3*m**3 + 30*m - 2*m**3 + 0*m**3 - 14*m**2 + m**3. 2*(m - 3)**2*(m - 1) Let s(l) be the first derivative of -1/2*l**4 + 2/5*l**5 - 1/3*l**3 + 5/4*l**2 + 7 - l - 1/12*l**6. Let s(x) = 0. Calculate x. -1, 1, 2 Let v = -174 + 703/4. Solve -5/4*f**3 + v*f**4 - 9/4*f**2 + 5/4*f + 1/2 = 0. -1, -2/7, 1 Let f(o) be the first derivative of -2 + 0*o**3 - 1/8*o**2 - o + 1/48*o**4. Let a(s) be the first derivative of f(s). Find g, given that a(g) = 0. -1, 1 Let j(q) be the second derivative of q**6/60 + q**5/30 - q**4/12 - q**3/3 + 5*q**2/2 - 4*q. Let t(z) be the first derivative of j(z). Factor t(w). 2*(w - 1)*(w + 1)**2 Factor -24/13 + 2/13*d**2 + 22/13*d. 2*(d - 1)*(d + 12)/13 Let d(i) be the first derivative of 1/12*i**6 + 1/3*i**3 + 0*i**4 + 0*i + 1 - 1/5*i**5 - 1/4*i**2. Let d(p) = 0. Calculate p. -1, 0, 1 Let x(g) be the second derivative of 0 + 0*g**3 + 3/80*g**5 + 0*g**2 + 1/48*g**4 - 9*g. Solve x(q) = 0 for q. -1/3, 0 Let b = -221 - -223. Let q = 164 + -1146/7. Determine j, given that 2/7 + q*j**b + 4/7*j = 0. -1 Let g(u) be the second derivative of 3/130*u**5 + 0 - 1/26*u**4 + 0*u**2 - 1/195*u**6 - u + 1/39*u**3. Factor g(n). -2*n*(n - 1)**3/13 Let k(a) be the second derivative of a + 0 - 1/20*a**5 + 0*a**4 + 1/6*a**3 + 0*a**2. Factor k(z). -z*(z - 1)*(z + 1) Let w be (40/12)/(4/6). Suppose 2*d**4 + d**2 + d**w - d - 4*d**4 + d**2 = 0. Calculate d. -1, 0, 1 Let m(q) be the second derivative of q**7/63 + q**6/45 - q**5/15 - q**4/9 + q**3/9 + q**2/3 + 5*q. Factor m(v). 2*(v - 1)**2*(v + 1)**3/3 Let y(m) be the first derivative of m**7/1680 + m**6/240 + m**5/80 + m**4/48 - m**3 - 2. Let f(o) be the third derivative of y(o). Factor f(v). (v + 1)**3/2 Suppose -80/7*k + 4/7*k**2 + 400/7 = 0. Calculate k. 10 Let m(q) = q**3 + 5*q**2 + 4*q + 4. Let i be m(-4). Factor -2*l**5 + l**5 - 3*l**4 + 2*l**2 + 3*l + 0*l**i - 2*l**3 + 1. -(l - 1)*(l + 1)**4 Let u(k) = -k**2 + 7*k + 8. Let p(d) = d**2 - 3*d - 4. Let t(x) = 5*p(x) + 3*u(x). Let t(i) = 0. What is i? -2, -1 Let i be (-15)/20 - 66/(-56). Let -i*b**5 + 2/7*b + 0 + 1/7*b**3 - 5/7*b**2 + 5/7*b**4 = 0. Calculate b. -1, 0, 2/3, 1 Let d be (3 - (-39)/(-9))*-3. Suppose d*s = s. Determine f, given that 1/5*f - 2/5*f**2 + 1/5*f**3 + s = 0. 0, 1 Let p be 13/4 + (-5)/20. Factor v**3 - 2*v**4 + 4*v**p - v**3 - 2*v**5. -2*v**3*(v - 1)*(v + 2) Let p(l) = 3*l - 2. Let z be p(1). Let f be 136/240 + z/(-6). Let -f*k**2 + 4/5*k - 38/5*k**4 + 0 - 14/5*k**5 - 6*k**3 = 0. Calculate k. -1, 0, 2/7 Let r(x) be the second derivative of -x**9/45360 + x**8/20160 + x**7/7560 - x**6/2160 + x**4/4 + 2*x. Let g(v) be the third derivative of r(v). Factor g(t). -t*(t - 1)**2*(t + 1)/3 Factor 1/4*s**3 + 3/4*s**2 + 1/2*s + 0. s*(s + 1)*(s + 2)/4 Let m(t) = 3*t - 7. Let c be m(3). Let 10*g**3 - 7 + 0 + 5 + 2*g**c - 10*g = 0. Calculate g. -1, -1/5, 1 Suppose -2*c - 5*x = 3*c + 15, 4*c - 5*x - 33 = 0. Let n(w) be the third derivative of -1/120*w**5 - 1/48*w**4 + 0 - c*w**2 + 0*w**3 + 0*w. Factor n(r). -r*(r + 1)/2 Let n(i) be the second derivative of i**7/42 + i**6/30 - i**5/20 - i**4/12 - 3*i + 8. Determine o, given that n(o) = 0. -1, 0, 1 Let z(f) = 8*f**5 - 10*f**4 + 2*f**3 - 12*f**2 - 12*f. Let g(u) = 3*u**5 - 4*u**4 + u**3 - 5*u**2 - 5*u. Let v(w) = 12*g(w) - 5*z(w). Let v(k) = 0. Calculate k. -1/2, 0, 1 Let o(l) be the first derivative of -l**5/40 + l**4/24 + l**3/6 - 5*l - 4. Let u(x) be the first derivative of o(x). Factor u(m). -m*(m - 2)*(m + 1)/2 Factor 0 + 0*u + 9/8*u**3 + 3/8*u**4 + 3/4*u**2. 3*u**2*(u + 1)*(u + 2)/8 Let 588*l**4 + 2002*l**3 - 16/9 - 2058*l**5 + 56*l - 5276/9*l**2 = 0. What is l? -1, 2/21, 1 Let i(y) = -4*y**2 - 51*y + 13. Let n be i(-13). Factor 3/2*b + n - 9/4*b**2. -3*b*(3*b - 2)/4 Let d(g) = -g**2 + 6*g. Let b be d(6). Let l = -119 + 122. Determine n, given that 1/2*n**2 + b - 1/2*n + 1/2*n**l - 1/2*n**4 = 0. -1, 0, 1 Factor -1/4*d**5 + 0*d**2 + 0 + 0*d**4 + 1/2*d**3 - 1/4*d. -d*(d - 1)**2*(d + 1)**2/4 Suppose -1733 = -5*z - 608. Let b = -64 + z. Factor b*d**4 + 8 + 50*d**5 - 16*d + 38*d**3 + 5*d**2 - 51*d**2 - 51*d**4. 2*(d + 1)**3*(5*d - 2)**2 Let f(h) be the second derivative of -h**5/10 + 7*h**4/6 - 12*h. Factor f(c). -2*c**2*(c - 7) Let a = -5 + 9. Let -8*x**2 - 4*x**2 + 2*x**3 - 4 - 90*x + 76*x + a*x**4 = 0. What is x? -1, -1/2, 2 Let q(l) be the third derivative of -11*l**6/120 - l**5/6 - 2*l**3/3 - 5*l**2. Let z(k) = 10*k**3 + 11*k**2 + 5. Let t(n) = 5*q(n) + 4*z(n). Factor t(j). -3*j**2*(5*j + 2) Let y(x) be the third derivative of -x**7/840 - x**6/360 - 2*x**3/3 - 2*x**2. Let r(d) be the first derivative of y(d). Solve r(a) = 0. -1, 0 Let o(t) = -t**2 + 9*t + 3. Let z be o(9). Let 1 - 2 - 4*a + 0 - z*a**2 = 0. What is a? -1, -1/3 Let n(g) = -g**2 + 6*g + 7. Let x be n(7). What is k in x + 1/3*k**2 - 2/3*k = 0? 0, 2 Let f = -8 + 13. Factor 0*q**2 + q**f - 3*q**5 - 4*q**2 + 6*q**3. -2*q**2*(q - 1)**2*(q + 2) Suppose -2*a - 30 = -4*z - 2, 5*a = 5*z - 40. Suppose 3*w - s = z, -6*w - 4*s = -2*w - 8. Factor -1 - 7/2*v - 5/2*v**w. -(v + 1)*(5*v + 2)/2 Let b = 2683/18 - 149. Let w(x) be the second derivative of 0*x**2 + 0 - 1/12*x**5 + 2*x - 1/30*x**6 - b*x**4 + 0*x**3. Solve w(o) = 0. -1, -2/3, 0 Let j = -24 + 4. Let k be j/(-6) + (-4)/12. Determine o so that -o**k - 1/3*o + o**2 + 1/3*o**4 + 0 = 0. 0, 1 Let o(n) be the first derivative of -8/3*n + 1/3*n**4 + 2 - 16/9*n**3 + 10/3*n**2. Factor o(k). 4*(k - 2)*(k - 1)**2/3 Let f(a) be the second derivative of a**7/840 - a**6/480 - 2*a**2 + 6*a. Let w(x
{ "pile_set_name": "DM Mathematics" }
housands digit of 752639? 7 What is the millions digit of 10681644? 0 What is the hundred thousands digit of 11095184? 0 What is the ten thousands digit of 296560? 9 What is the ten thousands digit of 11176868? 7 What is the hundreds digit of 695600? 6 What is the ten thousands digit of 156454? 5 What is the hundred thousands digit of 291116? 2 What is the thousands digit of 1655381? 5 What is the tens digit of 12199? 9 What is the units digit of 2403017? 7 What is the tens digit of 1468786? 8 What is the thousands digit of 1380772? 0 What is the millions digit of 4982501? 4 What is the ten thousands digit of 1122978? 2 What is the hundred thousands digit of 1403398? 4 What is the ten thousands digit of 271711? 7 What is the thousands digit of 64026? 4 What is the hundreds digit of 5963097? 0 What is the hundreds digit of 975107? 1 What is the ten thousands digit of 240527? 4 What is the ten thousands digit of 691374? 9 What is the millions digit of 1498402? 1 What is the hundreds digit of 192229? 2 What is the thousands digit of 669443? 9 What is the ten thousands digit of 1659015? 5 What is the millions digit of 9087658? 9 What is the hundred thousands digit of 2156135? 1 What is the hundreds digit of 5070940? 9 What is the units digit of 2538821? 1 What is the ten thousands digit of 472636? 7 What is the hundred thousands digit of 3633597? 6 What is the ten thousands digit of 613353? 1 What is the millions digit of 17701697? 7 What is the units digit of 15619863? 3 What is the hundred thousands digit of 2754449? 7 What is the thousands digit of 4870634? 0 What is the hundred thousands digit of 598533? 5 What is the hundreds digit of 3163338? 3 What is the ten thousands digit of 24425072? 2 What is the tens digit of 1995897? 9 What is the hundreds digit of 3311596? 5 What is the thousands digit of 713066? 3 What is the hundred thousands digit of 3338032? 3 What is the thousands digit of 1317522? 7 What is the units digit of 296771? 1 What is the thousands digit of 755704? 5 What is the hundreds digit of 14747838? 8 What is the millions digit of 20551349? 0 What is the ten thousands digit of 7236833? 3 What is the thousands digit of 426620? 6 What is the tens digit of 1256562? 6 What is the tens digit of 1580839? 3 What is the thousands digit of 32790550? 0 What is the thousands digit of 220830? 0 What is the tens digit of 172615? 1 What is the units digit of 23262? 2 What is the hundreds digit of 122802? 8 What is the hundreds digit of 53944? 9 What is the thousands digit of 561395? 1 What is the ten thousands digit of 60341? 6 What is the units digit of 2976598? 8 What is the hundred thousands digit of 696391? 6 What is the hundreds digit of 3669688? 6 What is the hundreds digit of 9880778? 7 What is the ten thousands digit of 3122783? 2 What is the millions digit of 7582385? 7 What is the units digit of 510495? 5 What is the hundreds digit of 12520636? 6 What is the tens digit of 3366670? 7 What is the millions digit of 14166418? 4 What is the ten thousands digit of 4527365? 2 What is the tens digit of 2271526? 2 What is the units digit of 2773642? 2 What is the ten thousands digit of 238355? 3 What is the thousands digit of 2315457? 5 What is the hundred thousands digit of 4098721? 0 What is the ten thousands digit of 1634860? 3 What is the hundred thousands digit of 5426685? 4 What is the tens digit of 819844? 4 What is the ten thousands digit of 123948? 2 What is the units digit of 213746? 6 What is the tens digit of 763992? 9 What is the hundreds digit of 685653? 6 What is the units digit of 892182? 2 What is the hundred thousands digit of 683814? 6 What is the hundred thousands digit of 203055? 2 What is the hundreds digit of 1972815? 8 What is the units digit of 423311? 1 What is the thousands digit of 6393778? 3 What is the units digit of 313397? 7 What is the hundred thousands digit of 817002? 8 What is the ten thousands digit of 196617? 9 What is the tens digit of 191308? 0 What is the ten thousands digit of 2308883? 0 What is the thousands digit of 260368? 0 What is the thousands digit of 96268? 6 What is the tens digit of 918239? 3 What is the hundreds digit of 154555? 5 What is the thousands digit of 532831? 2 What is the ten thousands digit of 16596400? 9 What is the hundreds digit of 7821918? 9 What is the tens digit of 3442433? 3 What is the hundreds digit of 808510? 5 What is the hundred thousands digit of 816739? 8 What is the units digit of 390218? 8 What is the hundred thousands digit of 7370163? 3 What is the millions digit of 5742163? 5 What is the ten thousands digit of 150127? 5 What is the hundred thousands digit of 3458746? 4 What is the thousands digit of 6283266? 3 What is the hundreds digit of 46751? 7 What is the tens digit of 114371? 7 What is the hundred thousands digit of 16653724? 6 What is the hundreds digit of 40263? 2 What is the hundreds digit of 6270662? 6 What is the ten thousands digit of 489317? 8 What is the ten thousands digit of 132168? 3 What is the tens digit of 628685? 8 What is the units digit of 724861? 1 What is the ten thousands digit of 1305370? 0 What is the tens digit of 3854256? 5 What is the hundreds digit of 32857103? 1 What is the ten thousands digit of 26198723? 9 What is the hundreds digit of 2914092? 0 What is the hundreds digit of 83819? 8 What is the ten thousands digit of 1912565? 1 What is the thousands digit of 765696? 5 What is the units digit of 443911? 1 What is the hundreds digit of 363525? 5 What is the hundreds digit of 6767912? 9 What is the units digit of 349555? 5 What is the units digit of 6494243? 3 What is the ten thousands digit of 35078? 3 What is the hundreds digit of 301243? 2 What is the thousands digit of 13873431? 3 What is the tens digit of 419489? 8 What is the millions digit of 5600784? 5 What is the millions digit of 1150313? 1 What is the hundred thousands digit of 35386373? 3 What is the tens digit of 16910379? 7 What is the ten millions digit of 16436109? 1 What is the tens digit of 556047? 4 What is the hundred thousands digit of 216653? 2 What is the thousands digit of 2686957? 6 What is the ten thousands digit of 1390809? 9 What is the tens digit of 609934? 3 What is the ten thousands digit of 3187341? 8 What is the tens digit of 252104? 0 What is the hundreds digit of 794212? 2 What is the units digit of 5918? 8 What is the hundreds digit of 4453236? 2 What is the thousands digit of 7071230? 1 What is the thousands digit of 13737353? 7 What is the thousands digit of 45609? 5 What is the units digit of 352140? 0 What is the units digit of 133903? 3 What is the units digit of 14078025? 5 What is the hundred thousands digit of 421381? 4 What is the millions digit of 7471166? 7 What is the tens digit of 95059? 5 What is the ten thousands digit of 2576900? 7 What is the units digit of 660321? 1 What is the hundreds digit of 196429? 4 What is the ten thousands digit of 361179? 6 What is the thousands digit of 10873966? 3 What is the ten thousands digit of 12012299? 1 What is the thousands digit of 217402? 7 What is the hundreds digit of 265331? 3 What is the thousands digit of 245361? 5 What is the thousands digit of 588758? 8 What is the hundreds digit of 11932659? 6 What is the hundred thousands digit of 1743843? 7 What is the tens digit of 8209994? 9 What is the ten thousands digit of 6875143? 7 What is the hundred thousands digit of 735338? 7 What is the hundreds digit of 82173? 1 What is the thousands digit of 2599660? 9 What is the ten thousands digit of 177003? 7 What is the millions digit of 2464654? 2 What is the tens digit of 98770? 7 What is the millions digit of 6179476? 6 What is the ten millions digit of 15248221? 1 What is the ten thousands digit of 3228092? 2 What is the tens digit of 1736736? 3 What is the units digit of 228373? 3 What is the hundred thousands digit of 672294? 6 What is the thousands digit of 46468? 6 What is the units digit of 4416833? 3 What is the ten thousands digit of 1466150? 6 What is the thousands digit of 8777048? 7 What is the hundreds digit of 829395? 3 What is the hundred thousands digit of 8870627? 8 What is the tens digit of 681781? 8 What is the units digit of 54798? 8 What is the thousands digit o
{ "pile_set_name": "DM Mathematics" }
rue Let s(o) = -10*o + 1. Let g = -4 - -6. Suppose -k + g = -3*r, -2*r + 4*k - 3 = -5. Is s(r) a multiple of 11? True Let p be (-2)/(0 + 3 + -5). Does 20 divide -96*(1/3 - p)? False Let h = 7 + -3. Let z be 4/(0 - h/(-6)). Suppose u - 55 = -3*f, -43 = -z*u + 5*u + 3*f. Is 16 a factor of u? False Let k be 0 + (-24 - 1/(-1)). Let m be (k/4)/((-3)/(-12)). Let v = -8 - m. Is v a multiple of 15? True Let g(u) = 7*u + 2*u**2 - 3*u**2 - 2*u**2 - 5 - 5*u**2 + u**3. Let a be g(4). Let b = -24 - a. Is 5 a factor of b? False Suppose 4*k = 4*r + k - 7, 4*k + 16 = 2*r. Does 7 divide 15/9*(-42)/r? True Suppose 346 = -x + 4*x - 4*z, 2*x - 219 = 5*z. Is x a multiple of 21? False Suppose -60 = -3*j + 3*w, 75 = 4*j - 5*w - 7. Is 11 a factor of j? False Let m = 2 + 0. Suppose -7*q = -m*q. Does 9 divide q + 1 + (1 - -7)? True Suppose -4*n + 42 = -3*n. Let y = -25 - -29. Suppose y*c = c + n. Does 7 divide c? True Let l = 38 + -76. Let w = -3 - 9. Let r = w - l. Is 21 a factor of r? False Let u(i) = -4*i - 2. Is u(-6) a multiple of 22? True Let p = 597 + -156. Is (2/3)/(14/p) a multiple of 6? False Suppose -10 = -2*j - 0. Let m(n) = 4 + 5 + 9*n + 4*n**2 - j*n**2. Is 11 a factor of m(7)? False Suppose 5*d + 4*i = -i + 730, -4*i = d - 158. Is d a multiple of 15? False Let p(d) be the second derivative of d**4/12 - d**3/3 + 7*d**2/2 + 12*d. Let v be (7/(-2))/(3/(-6)). Is 14 a factor of p(v)? True Is (-166)/(-8) - 3/(-12) a multiple of 9? False Let i = 38 + -34. Is i a multiple of 2? True Let r(d) = d**2 - 4*d + 13. Does 17 divide r(7)? True Does 28 divide (-11)/((-55)/280) + -4? False Suppose 4*z + 22 = 6, -3*t + 3*z + 27 = 0. Let b(x) = x**3 - 6*x**2 + 7*x - 4. Does 6 divide b(t)? True Let v(h) = -7*h**3 + h**2 + 2*h + 3. Let l be v(-2). Suppose 4*g - l = -w, -4*w + 97 = -w - 4*g. Is 15 a factor of w? False Suppose 5*o = 3*o + 12. Let h be -15*-1*(-4)/(-2). Is (o/(-9))/((-4)/h) even? False Suppose -12 = -0*r + 2*r. Is 24*4*r/(-32) a multiple of 17? False Let x(g) = 7*g**2 + 12*g - 4. Let f(q) = q**2 + q - 1. Let r(w) = 6*f(w) - x(w). Is 5 a factor of r(-4)? False Let m(y) be the third derivative of -3*y**2 + 0 + 0*y - 1/2*y**3 + 13/24*y**4. Is m(2) a multiple of 8? False Let f = 128 - -122. Does 12 divide f? False Suppose -297 = -3*d + r + 2*r, 3*d + r - 297 = 0. Does 7 divide d? False Let d(t) be the second derivative of t**4/3 - t**3/3 - 7*t**2/2 + 2*t. Let w be d(7). Suppose 0 = 7*c - 2*c - w. Does 13 divide c? False Is 2*(-3)/6*-7 a multiple of 7? True Let t(a) = -161*a + 2. Does 54 divide t(-2)? True Suppose 5*a - 33 = -4*u, 2*u + 10 = 3*a - 23. Is a a multiple of 3? True Suppose -5*z + 20 = 5*d, 2*d - 4 = -0*d - z. Let n(o) = 15*o**3 - o**2 - 3*o + 3. Let t be n(1). Suppose d = 5*p - 6*p + t. Is p a multiple of 14? True Let i = 2 - 2. Is 18 a factor of -1 + (38 - (1 - i))? True Suppose 3*z + 3*a + 14 = -a, 2*a = 4*z - 18. Suppose -t = z*t - 114. Is t a multiple of 15? False Let i = -138 - -314. Is 20 a factor of i? False Let u(t) = -3*t**2 - 1. Let l be u(-3). Let p be 30/4*l/(-3). Suppose -3*i - 2*i = -3*v - p, 0 = 4*i + 4*v - 56. Is 14 a factor of i? True Suppose 4*n - 19 - 1 = 0, 0 = -2*r - 4*n + 28. Suppose -4*c - 3*q - 2*q = -157, -r*q = -20. Is 5 a factor of c? False Let r(b) = b**2 - 9*b + 6. Let p(j) = -2*j + 6. Let w be p(-7). Suppose -h - w = -3*h. Is 8 a factor of r(h)? True Suppose 3*z = 12*z - 1134. Is z a multiple of 21? True Let v(y) = -y**3 - 7*y**2 - y - 8. Let w be v(-10). Suppose 2*x = -2*z + 118, 6*z - w = z + 2*x. Suppose -3*c = 4*a - 80, -2*a - a = c - z. Is 13 a factor of a? False Let g(t) = -t**3 - 12*t**2 - 12*t + 4. Suppose -3*u + 0*u = -4*h - 29, -3*h + 3*u = 18. Is 15 a factor of g(h)? True Let f(w) = -5*w + 22. Is 21 a factor of f(-7)? False Let v(a) = 16*a - 8. Is v(1) a multiple of 3? False Let f(u) = u**2 + 7*u - 1. Suppose -x + 2*t - 7 = 0, x = t - 5 + 1. Let j(y) = y. Let w(b) = x*f(b) - 5*j(b). Does 13 divide w(-5)? False Let s(i) be the third derivative of i**5/60 - i**4/24 - i**3/3 + 2*i**2. Let z be s(-3). Let o(m) = m**3 - 11*m**2 + 10*m + 11. Is 5 a factor of o(z)? False Suppose -3*z = z - 12. Suppose -z*b - 2*b + 15 = 0. Is 215/20 - b/4 a multiple of 5? True Let n = 2 - -2. Let u(j) be the third derivative of -j**6/120 + j**5/10 - j**4/6 - j**3/6 + 5*j**2. Is u(n) a multiple of 5? True Let r(f) = f**2 + f - 17. Let s be (-1)/(-2)*0*-1. Let w be r(s). Let n = 5 - w. Is 9 a factor of n? False Suppose 2*a - 108 = -0*l - 3*l, a - l - 49 = 0. Is 4 a factor of a/12 - 1/4? True Let w = -118 - -244. Is 18 a factor of w? True Let d(x) = 2*x**2 - 6*x + 2. Let v = 4 - -1. Let r = 10 - v. Does 11 divide d(r)? True Let g(t) = t**3 + 2*t**2 + t + 2. Let d be g(-2). Suppose -4*f = l + 5 - 24, d = l + 5*f - 14. Does 10 divide l? False Suppose -5 = -5*t - 4*a + 7, 4*a = -2*t. Suppose t*l - l = 24. Is l a multiple of 5? False Let f be 10/2*3/5. Let q(h) = -h + 3. Let j be q(f). Let n(x) = -x + 10. Is n(j) a multiple of 6? False Let o(d) = 38*d**3 + 3*d**2 - d - 2. Let f be o(2). Suppose 0*x + f = 4*x. Is 18 a factor of x? False Suppose 3*y = 916 + 572. Is 62 a factor of y? True Let q = 32 - 1. Let g = -17 + q. Is g a multiple of 14? True Let b(z) = -2*z + 82. Is 41 a factor of b(0)? True Let x = -1 + 4. Let c = 6 - x. Let l = c - -9. Is 5 a factor of l? False Suppose -2*l - 42 = l. Does 16 divide 374/14 + l/(-49)? False Let r(j) = -j**2 - 8*j - 9. Let i be r(-7). Is 22 a factor of i*(-15)/12*26? False Suppose 0 = -2*z, -s + 0 - 8 = -3*z. Does 11 divide 12/16 - 170/s? True Let h(x) = -9*x - 20. Is 19 a factor of h(-10)? False Suppose -3 = -r - 5*o + 25, -2*r - 2*o = -24. Suppose -u + 2*u + 2*t + r = 0, 4 = 3*u - t. Suppose u = 6*m - m - 30. Does 3 divide m? True Is (4/(-3) - -2)*(45 + 3) a multiple of 6? False Suppose 2*i + 4 = -4*p, 2*p + 8 = -5*i + i. Suppose -5*v + 5*j = -0*j - 695, 2*j - 586 = -4*v. Suppose p = 5*w + 39 - v. Does 7 divide w? True Suppose 0 = 3*w - 5*w. Let t = w + 24. Suppose y - t = -0*y. Is y a multiple of 12? True Is 18 a factor of 37797/301 + (-1)/((-14)/6)? True Suppose 5*d - 5 = -4*q + 28, -5*d + 3*q = -19. Suppose 0 = -d*s + 22 + 3. Suppose 5*m - 12 = -4*o, -5*m + 33 - 3 = -s*o. Does 2 divide m? True Suppose 13*a = 8*a + 80. Does 16 divide a? True Let k = 32 - -2. Does 34 divide k? True Let u = -4 + 25. Is u a multiple of 2? False Let f(w) = 15*w**3 - 3*w**2 + 1. Is 4 a factor of f(1)? False Let v(o) = 24*o + 38. Does 49 divide v(5)? False Let p(k) = -k**3 + k**2 + k + 28. Is p(0) a multiple of 14? True Let t(y) = -10*y + 3. Let r(j) = 5*j**3 + 2*j**2 + 2*j + 1. Let l be r(-1). Is t(l) a multiple of 12? False Suppose 105 = 9*w - 4*w. Is w a multiple of 7? True Let r = -2 - -4. Suppose -5*k + 4*b = -15 - 100, -r*k + b = -49. Is k a multiple of 9? True Let b = -1 - -3. Suppose -5*l = -2*a - 14, -b*a = 6*l - 2*l - 22. Suppose k - l*k + 30 = 0. Is 4 a factor of k? False Let o = 8 + -6. Suppose -o*a + 18 = a. Does 2 divide a? True Suppose -3*j + 1 = -2*j, 3*t + 4*j = -284. Let f = t + 144. Suppose -f = -4*g + 12. Is 13 a factor of g? False Let z(d) be the first derivative of -d**3/3 + 3*d**2 - 6*d + 3. Let y be z(5). Does 16 divide 32 + y + (-1)/(-1)? True Suppose 3*x + 4*u = 14, -3*x + 8 = -2*x + 2*u. Is 13 a factor of (2 + -1)/(x/(-152))? False Let p(f) = -f**2 + 4*f - 4. Let t be p(6). Let w = 23 + t. Suppose -a = -w + 1. Is 6 a factor of a? True Suppose 0 = 5*k - 3*x + 2*x - 210, 162 = 4*k - 2*x. Does 5 divide k? False Let q(f) = -3 - 4*f**2 + 3*f - 4*f**3 + 4 + 5*f**3. Let b be q(3). Suppose -4*i + 57 = b. Does 7 divide i? True Suppose -31*f + 33*f - 254 = 0. Does 30 divide f? False Let w be ((-44)/(-12))/(2/6). Suppose 3*o + w = 71. Is 16 a factor of o? False Let h(v) = -54*v + 2. Does 4 divide h(-1)? True Let r(w) = w**3 - 2*w**2 + 2*w - 3. Let u be r(2). Is 22 + u + 2 + -5 a multiple of 13? False Let x = 5 + -1. Suppose -3*n + 6 = -f + 2, -5*n = -f - x. Suppose 6 = 2*a - n. Is 3 a factor of a? True Let w = 229 + -142. Does 6 divide w? False Let q(i) = i. Let k be q(4). Let t = -40 - -64. Suppose -48 = -k*x + t. Is x a multiple of 13? False Let v = -20 + 20. Suppose 53 = n + 4*w, -3*n + 3*w = -v*w - 84. Is 7 a factor of n? False Let f(b) = b**3 + 10*b**2 - 9*b + 12. Is 13 a factor of f(-5)? True Suppose 0
{ "pile_set_name": "DM Mathematics" }
nvert 0.342908l to millilitres. 342.908 Convert 248.2994 litres to millilitres. 248299.4 How many seconds are there in 2/45 of a day? 3840 How many millimeters are there in 8.122132 centimeters? 81.22132 How many days are there in 266.437944 microseconds? 0.0000000030837725 How many centimeters are there in 41845.02 millimeters? 4184.502 Convert 206764.4 centuries to decades. 2067644 How many months are there in three tenths of a century? 360 How many seconds are there in one sixteenth of a day? 5400 What is 726054.8 years in centuries? 7260.548 How many millilitres are there in 3/10 of a litre? 300 Convert 0.2245442ug to tonnes. 0.0000000000002245442 How many days are there in 1232.02836 milliseconds? 0.0000142595875 Convert 617872.1cm to micrometers. 6178721000 How many kilograms are there in 0.2142966 milligrams? 0.0000002142966 What is 5.78613 years in decades? 0.578613 How many litres are there in 393.88 millilitres? 0.39388 What is 7/2 of a tonne in kilograms? 3500 Convert 11.80886km to meters. 11808.86 What is 6.18012l in millilitres? 6180.12 How many hours are there in 491567.2 days? 11797612.8 How many months are there in 92462.56 years? 1109550.72 How many decades are there in 3/5 of a century? 6 What is three fifths of a litre in millilitres? 600 How many millilitres are there in twenty-five halves of a litre? 12500 What is 11/10 of a milligram in micrograms? 1100 What is nineteen tenths of a gram in milligrams? 1900 How many nanometers are there in 589090.6um? 589090600 What is 7/4 of a litre in millilitres? 1750 What is 1.669865cm in nanometers? 16698650 How many years are there in 6/25 of a century? 24 What is one tenth of a day in minutes? 144 How many years are there in 8/25 of a millennium? 320 How many seconds are there in two fifteenths of a week? 80640 What is 6745.122ml in litres? 6.745122 How many millilitres are there in 2123.849 litres? 2123849 What is 6566.747nm in meters? 0.000006566747 How many minutes are there in seven thirds of a hour? 140 Convert 17105.58 months to years. 1425.465 What is 1.919642km in nanometers? 1919642000000 Convert 606.9339 milligrams to nanograms. 606933900 Convert 38.4457 weeks to seconds. 23251959.36 What is 234.3363 years in decades? 23.43363 How many decades are there in 13/4 of a millennium? 325 What is 9.630878nm in millimeters? 0.000009630878 Convert 907.284 millennia to years. 907284 Convert 455.6758l to millilitres. 455675.8 What is 6/25 of a litre in millilitres? 240 What is 45/2 of a decade in years? 225 What is eleven quarters of a centimeter in micrometers? 27500 What is five sixths of a day in seconds? 72000 What is 3/10 of a gram in milligrams? 300 What is 1/64 of a millimeter in nanometers? 15625 How many micrometers are there in 21/5 of a millimeter? 4200 Convert 7631.526 nanograms to tonnes. 0.000000000007631526 What is one quarter of a meter in millimeters? 250 How many months are there in five quarters of a year? 15 What is 260.818 millilitres in litres? 0.260818 Convert 24.57603ml to litres. 0.02457603 What is one twentieth of a microgram in nanograms? 50 What is 3/5 of a millennium in years? 600 How many tonnes are there in 6407.109 kilograms? 6.407109 How many decades are there in 2.882864 years? 0.2882864 How many seconds are there in twenty-eight thirds of a hour? 33600 What is seven halves of a kilogram in grams? 3500 How many years are there in twenty-nine fifths of a millennium? 5800 How many millilitres are there in 17/2 of a litre? 8500 How many months are there in 23/3 of a millennium? 92000 What is 0.4440423l in millilitres? 444.0423 Convert 4.070911um to meters. 0.000004070911 What is fourty-five halves of a microgram in nanograms? 22500 What is six fifths of a millennium in months? 14400 How many months are there in 6/5 of a decade? 144 What is 21/4 of a millisecond in microseconds? 5250 How many months are there in seven halves of a century? 4200 What is five sixths of a week in hours? 140 What is 3/40 of a gram in milligrams? 75 What is 11/2 of a century in decades? 55 How many decades are there in three fifths of a century? 6 What is 6.814283 nanometers in millimeters? 0.000006814283 How many litres are there in 6.595198 millilitres? 0.006595198 What is ninety-one quarters of a litre in millilitres? 22750 What is twenty-nine halves of a decade in years? 145 How many centuries are there in seven halves of a millennium? 35 How many hours are there in 11/4 of a day? 66 Convert 16282.17 kilograms to grams. 16282170 Convert 77185.3 kilometers to millimeters. 77185300000 Convert 17.5093218 microseconds to days. 0.0000000002026541875 How many seconds are there in 49/5 of a hour? 35280 Convert 0.8888251 decades to years. 8.888251 How many micrometers are there in 0.0711021km? 71102100 How many millilitres are there in 55/2 of a litre? 27500 How many decades are there in 1/10 of a millennium? 10 What is one twentieth of a second in milliseconds? 50 How many millimeters are there in 9660.94nm? 0.00966094 What is 21/4 of a tonne in kilograms? 5250 How many centuries are there in 82285.74 years? 822.8574 What is 723263.3 days in seconds? 62489949120 What is 93.03585 months in centuries? 0.077529875 How many months are there in seven thirds of a millennium? 28000 What is 7/4 of a kilogram in grams? 1750 What is 74.69154 kilograms in milligrams? 74691540 Convert 634.4501kg to grams. 634450.1 What is thirty-three fifths of a millisecond in microseconds? 6600 What is 6/5 of a decade in years? 12 How many millilitres are there in 21/2 of a litre? 10500 Convert 301.2936 litres to millilitres. 301293.6 How many kilometers are there in 89.43196 meters? 0.08943196 What is 11/8 of a centimeter in micrometers? 13750 What is 0.5850957 litres in millilitres? 585.0957 How many months are there in one twentieth of a millennium? 600 What is 6624.85 millilitres in litres? 6.62485 Convert 31.53896 decades to months. 3784.6752 How many decades are there in eighteen fifths of a century? 36 How many millimeters are there in 4.136753nm? 0.000004136753 Convert 250.2963 millennia to decades. 25029.63 How many centimeters are there in 32/5 of a meter? 640 Convert 819864.3 milligrams to kilograms. 0.8198643 How many kilograms are there in twenty-one eighths of a tonne? 2625 What is 13/8 of a micrometer in nanometers? 1625 What is fourty-seven quarters of a kilometer in meters? 11750 How many microseconds are there in 683.35 minutes? 41001000000 Convert 0.7765714ng to grams. 0.0000000007765714 Convert 0.6737949 days to hours. 16.1710776 Convert 442.4706g to tonnes. 0.0004424706 What is twenty-nine halves of a litre in millilitres? 14500 Convert 5.188756 kilograms to nanograms. 5188756000000 How many millimeters are there in fifteen quarters of a meter? 3750 How many meters are there in 13/4 of a kilometer? 3250 What is thirteen eighths of a litre in millilitres? 1625 What is five quarters of a micrometer in nanometers? 1250 How many kilograms are there in 89165.3 tonnes? 89165300 What is 1/10 of a milligram in nanograms? 100000 How many months are there in seven quarters of a decade? 210 What is 2.89431 years in months? 34.73172 Convert 660872.9 decades to years. 6608729 How many millilitres are there in seventeen halves of a litre? 8500 What is 6/25 of a litre in millilitres? 240 How many minutes are there in 1230.2166 microseconds? 0.00002050361 What is 18.2213ml in litres? 0.0182213 How many decades are there in three fifths of a millennium? 60 Convert 7.011877km to micrometers. 7011877000 What is 855500.6 nanoseconds in milliseconds? 0.8555006 What is 26/5 of a litre in millilitres? 5200 How many centimeters are there in 1/4 of a meter? 25 How many nanometers are there in 40.38307um? 40383.07 How many micrometers are there in 8872.147 meters? 8872147000 How many micrometers are there in 1/4 of a millimeter? 250 What is 4860.6 months in centuries? 4.0505 Convert 99.07459mg to grams. 0.09907459 How many kilograms are there in 7.382918t? 7382.918 What is 23/6 of a day in hours? 92 How many minutes are there in 548.7764 hours? 32926.584 How many millilitres are there in twenty-one fifths of a litre? 4200 What is 17/4 of a centimeter in micrometers? 42500 How many years are there in fifty-
{ "pile_set_name": "DM Mathematics" }
b - 3. Let o be i(20). Sort 1, o, 0 in increasing order. o, 0, 1 Let y = -3 - 1. Let t(r) = -r - 3. Let v be t(y). Suppose 9*w = -7 - 2. Sort w, v, 5 in ascending order. w, v, 5 Let v(k) = k**2 - 6*k - 6. Let q = 13 - 7. Let r be v(q). Let x(p) = -p - 7. Let m be x(r). Sort 2, -2/7, m in ascending order. m, -2/7, 2 Suppose 4*w + w = 60. Sort -3, w, -2 in descending order. w, -2, -3 Let a = -1.22 - -0.82. Let j = 0 - 0.2. Let u = j + -0.3. Sort a, u, 2/15 in decreasing order. 2/15, a, u Let v = -5 + 4. Suppose -4*k = -k + 9. Sort k, v, 2 in descending order. 2, v, k Let l = -0.2 - -0.7. Let b = -125/156 + 2/39. Sort b, -0.4, l in decreasing order. l, -0.4, b Let z be (2/24)/(25/40). Sort z, -5, 4 in descending order. 4, z, -5 Let x = 71 - 73. Put 2, -1, x in ascending order. x, -1, 2 Suppose -r - 2*r - 6 = 0. Suppose -k = 4*k + 25. Let c be 3/k - (-12)/(-5). Sort 2, r, c. c, r, 2 Suppose -o = 0, 5*x - 3*o = 8 - 3. Let k(t) = t + 6. Let d be k(0). Sort d, x, 2 in ascending order. x, 2, d Let m be (6/16)/1*6/9. Let r = -0.01 - 0.05. Let x = 0.36 + r. Sort 3, m, x in ascending order. m, x, 3 Suppose 0 = 2*j - 2*w + 12, j + j + 26 = -5*w. Sort j, 1, 2. j, 1, 2 Suppose -4*v = 4*z - 9*z - 1, 0 = 5*v + 2*z + 7. Put 2/19, 0.2, v in descending order. 0.2, 2/19, v Suppose 0 = 2*v + 4*m + 10, 2*v - m - 2*m = 25. Suppose 2*c + 8 = -2*c. Let w be ((-6)/(-165))/(2/(-10)). Sort c, w, v in increasing order. c, w, v Let s be -2*3/6 + -19. Let c be 2/9 + s/(-90). Sort 2, -2/11, c. -2/11, c, 2 Suppose -3*p + 15 = 4*w, -p - 4*w = -2*p + 5. Put 14, p, -1 in descending order. 14, p, -1 Let g = -19962 - -20080.97. Let w = -124 + g. Let s = w + 0.03. Put -1, 1, s in ascending order. s, -1, 1 Suppose 0 = -5*k + 4*k + 4. Suppose 28 = 3*l + 4. Let j be ((-5)/k)/((-2)/l). Put 0, -2, j in ascending order. -2, 0, j Let l(w) = -5*w + 2. Let y be l(-3). Let v = y - 16. Sort -4, v, -5. -5, -4, v Let n = -6.87 - -0.57. Let h = n - -1.3. Put h, 3/5, -3 in descending order. 3/5, -3, h Let g = 3.7 - -0.3. Let v = -7.3 + 7. Put v, g, -1/5 in decreasing order. g, -1/5, v Let u = -5.3 + 5. Put u, 6, 0.3 in increasing order. u, 0.3, 6 Let w be -1*(0 + 2)/(-6). Let p be (-2 - 0) + 39/15. Suppose 5*o = -m - 13, o + 4*m = -m + 7. Put o, p, w in decreasing order. p, w, o Let q = -8 - -4. Let b = q - -7. Let m = -1 + b. Put m, 4, 5 in descending order. 5, 4, m Let s = -7 - -5. Let w be (4 + -3)/(8/s). Put w, 5, 3/4 in descending order. 5, 3/4, w Suppose -5*y = -10*y - 50. Put y, -3, 0 in descending order. 0, -3, y Let y = 97.9 + -98. Sort -1/4, -2, 1, y in decreasing order. 1, y, -1/4, -2 Suppose 10 = 5*n, -2*j + 4*n - 2 - 10 = 0. Let s(p) = p**3 - 8*p**2 - 1. Let o be s(8). Sort j, -4, o. -4, j, o Suppose u - 14 = -3*d, -3*d + 3 = 2*u - 2*d. Let w be u/(4 - 3)*3. Sort 4, 8, w. w, 4, 8 Let g = -12 - -13. Put 0, g, 4 in increasing order. 0, g, 4 Let k(b) = -3*b**2 - 5*b + 2. Let m be k(-2). Let v = 4/23 - -15/46. Put -3/4, v, m in increasing order. -3/4, m, v Let o = 1.96 - -0.04. Let w = o + -4. Let i = 0 - w. Put -2, 0.3, i in decreasing order. i, 0.3, -2 Let z = 31 + -29.3. Let y = z + -1.9. Sort 2, y, 1/7. y, 1/7, 2 Let a(v) = -v**2 + 8*v - 4. Let t be a(7). Let w(o) = 13*o - 18. Let x(k) = 7*k - 9. Let z(d) = 6*w(d) - 11*x(d). Let j be z(9). Sort t, 4, j. j, t, 4 Suppose 2*s = 3*s - 3*x - 16, 5*x + 40 = 5*s. Let o = 1 + s. Suppose 3*k = -14 + o. Sort -0.2, k, -1 in decreasing order. -0.2, -1, k Suppose 0 = -m - 0*m - 2*k - 4, 2*k + 4 = 2*m. Suppose -4*s + m = 4. Put 2, s, -5 in decreasing order. 2, s, -5 Let a(x) = -x - 31. Let d be a(-22). Put d, -2, 2, 0 in increasing order. d, -2, 0, 2 Suppose -1 = 2*b + 7. Let y = 2.46 - 0.26. Let l = y - 0.2. Sort b, 1, l in descending order. l, 1, b Let w = 0.3 + -1.3. Let y = 107 - 72. Let k = y + -31. Put 3, w, k in decreasing order. k, 3, w Let i(t) = -t**2 - 4*t + 4. Let h be i(-5). Put h, 5, 0.3, 4 in descending order. 5, 4, 0.3, h Suppose 4*y - 19 = 1. Suppose b = y*h + 2 + 1, -31 = 3*b + 5*h. Let j(l) = -l**2 - 6*l + 5. Let w be j(b). Put w, 0.1, 0.3 in increasing order. w, 0.1, 0.3 Let i(w) = 2*w**2 + 5*w + 11 - 4*w**2 + 5*w + 3*w**2. Let v be i(-8). Sort 5, v, -1. v, -1, 5 Let g = -0.11 + 4.11. Let x = 2 - 5. Put x, 0, g in increasing order. x, 0, g Let c(r) = -r**3 - r**2 - r - 4. Let f be c(0). Let q = 1 - f. Let t be (6/q)/((-3)/10). Sort 3, -2, t in decreasing order. 3, -2, t Suppose -14 = 4*y + 6. Put -24, -3, y in ascending order. -24, y, -3 Let n = -82 - -86. Sort -2, n, 5. -2, n, 5 Let n = 30 + -44. Sort -1/9, 1/8, -1/3, n in increasing order. n, -1/3, -1/9, 1/8 Let b(c) = -6*c**2 + 3 + c**3 - c - c**2 + 7. Suppose 5*w - 3*p - 41 = 0, 3*p - 8 = -2*w - 0. Let m be b(w). Sort 0, 5, m in descending order. 5, m, 0 Let z = -20.2 - -20. Sort 3/5, z, -1/6 in increasing order. z, -1/6, 3/5 Let z = -13.2 + 5. Let l = z + 8. Sort -5, l, 3 in descending order. 3, l, -5 Let z = -157 - -158. Let o = -4 - -7. Sort z, 5, o in descending order. 5, o, z Let o(q) = q**3 + 12*q**2 + q + 14. Suppose 2*f - 24 = 4*f. Let r be o(f). Let t be 12/(-20)*(-1 + -4). Put 5, r, t in increasing order. r, t, 5 Suppose d - 8 = -3*d. Suppose 4 = -p + 7. Suppose -3*b - 5*n + p = 23, -n = 1. Put d, b, 1 in descending order. d, 1, b Let q = -12/7 + 17/14. Let x be 6/9*(-3)/5. Sort -0.2, q, x in increasing order. q, x, -0.2 Let s = 0.524 - 0.124. Sort -0.5, 2, s, -0.2. -0.5, -0.2, s, 2 Let y(s) = s - 10. Let d be y(11). Suppose 10 + 2 = -4*z. Sort d, 2, z in decreasing order. 2, d, z Let m be (-3)/(-1 - (-2)/5). Put 3, m, 0, 1 in increasing order. 0, 1, 3, m Let l(g) = -2 + 4 + 0*g + 5*g + g**2. Let v be l(-2). Let h = -3 - -4. Sort h, -5, v in increasing order. -5, v, h Let m be 3/(3/(-4)) + (-4 - -3). Sort 4, -3, m in decreasing order. 4, -3, m Let t = 36 - 182/5. Sort t, 6, 0.3 in increasing order. t, 0.3, 6 Let s = -39 - -21. Let t = -17.9 - s. Let a = 54 - 323/6. Sort a, -2/9, t. -2/9, t, a Suppose 3*u - 8 = 7*u. Sort 7, u, 1 in ascending order. u, 1, 7 Let j = -1 - -2. Let z(o) = -o - 4. Let b be z(-2). Let y be (b*1/8)/j. Sort 0, y, 0.1 in decreasing order. 0.1, 0, y Let z = 89 - 88.7. Put z, 0.2, 3, -1/3 in descending order. 3, z, 0.2, -1/3 Suppose -3*f + 5*c = 358, 5*f + 6*c - 2*c + 609 = 0. Let i = f + 969/8. Sort -1, i, -1/4. -1, -1/4, i Let p be (-3)/2 - 3/(-6). Let c = 3 + p. Put 1, c, 0.3 in increasing order. 0.3, 1, c Let b = 2.9 + -3.2. Let h(c) = -c**2 + 7*c - 4. Let o be h(5). Sort 0.4, o, b in decreasing order. o, 0.4, b Let k = 33 + -37. Put -2, k, -3 in increasing order. k, -3, -2 Let g be (-1)/(-2) + (-21)/6. Let u be -11 - (1 - 0)/1. Let p be u/4*(-3)/9. Put p, 5, g in descending order. 5, p, g Let g = -12.3 + 12. Put -0.4, 1/3, g in descending order. 1/3, g, -0.4 Suppose 0 = -3*z + 5*z - 6. Let p = -2 - z. Let t = -1 - -1. Sort 3, t, p in decreasing order. 3, t, p Let t(d) = d**2 + 5*d - 1. Let x(n) = -n + 2. Let y be x(7). Let r be t(y). Put r, 5, 1 in descending order. 5, 1, r Let x(c) = c**3 + 7*c**2 + c + 3. Let w be x(-7). Sort -5, -3, w. -5, w, -3 Let f = -55 - -100. Suppose 4*o - f + 1 = -4*y, -5*y = 3*o - 41. Let n be ((-4)/7)/((-10)/o). Put 0.2, n, 1/8 in increasing order. 1/8, 0.2, n Let z = 31 + -33. Let w = 0 + 0. Put w, 1, z in descending order. 1, w, z Suppose 0 = -2*g - 22 - 108. Put g, -2, 0.2 in ascending order. g, -2, 0.2 Suppose 0*u - 3*u = 0. Let d = -4 + 6. Suppose w = 5*t - 0 + 5, -d*t + 11 = -3*w. Sort -1, t, u in descending order. u, -1, t Let n = 6.012 + -0.012. Sort n, 4, -0.1. -0.1, 4, n Let s = 0.057 - -1.943. Let x = -5 - -3.1. Let v = s + x. Sort v, -4, 3. -4, v, 3 Let p = 20 + -18. Suppose -4*z - 4 = -p*z. Sort 4, z, -3. -3, z, 4 Suppose 3*m = 6*m - 15. Put -3, m, -4 in ascending order. -4, -3, m Let b be 11/2 - 1/2. Let k be ((-3)/(b - 2))/8. Sort k, -3/5, -5 in increasing order. -5, -3/5, k Let j = 0 - 4. Let q be (-18)/14 + j/(-14). Let f be (-1)/3 + 42/(-9). Put q, 1, f in descending order. 1, q, f Suppose 5*w + 8 = -7. Let j be (w - (3 + -8))/(-2). Sort j, -2, 5 in decreasing order. 5, j, -2 Let t = 4 + 8. Put 5, t, -5 in increasing order. -5, 5, t Suppose -2*k = 36 - 38. Sort -2, k, -5, 5 in ascending order. -5, -2, k, 5 Suppose 5*n + 0*n = 115. Suppose -4*a - n = -3. Let o be (-1)/(((-2)/2)/(-4)). Put
{ "pile_set_name": "DM Mathematics" }
s*h + 27*h**5 + 18*h**3 + 26*h**2 = 0. -1/4, 0, 1, 2 Let s(p) be the second derivative of -p**6/30 + p**4/6 - p**2/2 - 17*p. Let s(t) = 0. What is t? -1, 1 Suppose 0 = -4*d + 3*f - 7, -21 = -0*d + 2*d - 5*f. Factor 2/7*s**d + 2/7*s + 0. 2*s*(s + 1)/7 Let b(v) = v**2 + 10*v + 13. Let h be b(-9). Suppose m = -h*y + 17, -y - y - 5 = 5*m. Solve -2/3 - 2/3*w**4 - 2/3*w**y - 2/3*w + 4/3*w**2 + 4/3*w**3 = 0. -1, 1 Let x(z) = 2*z**3 - z**4 + 25 - 3*z**2 + 2*z + 2*z - 21 + 6*z**4. Let b(p) = -p**4 - p**3 + p**2 - p - 1. Let q(v) = 4*b(v) + x(v). Factor q(m). m**2*(m - 1)**2 Let -12/7*b**2 - 8/7 + 18/7*b + 2/7*b**3 = 0. What is b? 1, 4 Let r(y) be the first derivative of y**4 + 8*y**3/3 - 2. Factor r(f). 4*f**2*(f + 2) Let b(o) be the second derivative of -3*o**5/4 + 25*o**4/12 - 5*o**3/6 - 5*o**2/2 - o - 21. Determine u, given that b(u) = 0. -1/3, 1 Suppose l + 5 - 7 = 0. Let f(w) be the second derivative of 0 - 1/48*w**4 - 1/4*w**2 - 1/8*w**3 + l*w. Factor f(r). -(r + 1)*(r + 2)/4 Find a, given that -15*a**3 - 12*a**2 + 13*a**3 - a + 4*a**4 - a + 4 = 0. -1, 1/2, 2 Factor 1/8*h**4 - 5/8*h**3 - 1/2 + 5/8*h + 3/8*h**2. (h - 4)*(h - 1)**2*(h + 1)/8 Let a be (70/(-105))/((-4)/9). Factor 3/2*r**2 - a + 3/2*r**3 - 3/2*r. 3*(r - 1)*(r + 1)**2/2 Let y(q) be the third derivative of q**7/525 - 11*q**6/1200 + 3*q**5/200 - q**4/240 - q**3/60 - 12*q**2. Factor y(x). (x - 1)**3*(4*x + 1)/10 Find z such that -2/5*z**4 - 18/5*z + 0 - 6*z**2 - 14/5*z**3 = 0. -3, -1, 0 Let p(k) = k + 21. Let d be p(-19). Factor 0 + 0*n**3 + n - 3/2*n**d + 1/2*n**4. n*(n - 1)**2*(n + 2)/2 Let u(l) be the third derivative of l**7/210 - l**6/120 - l**5/60 + l**4/24 + 25*l**2 + 2*l. Factor u(k). k*(k - 1)**2*(k + 1) Suppose -3 = -b, 4*z + 3*b - 57 = -0*z. Solve z*o**2 - 1 - o - 11*o**2 + 1 = 0 for o. 0, 1 Suppose 13*o - 11*o = 4. Let v(d) be the third derivative of -1/840*d**7 - 1/240*d**5 + 0*d**4 + 0 + 0*d**3 - 1/240*d**6 + 0*d - d**o. Factor v(u). -u**2*(u + 1)**2/4 Factor 3/2 + 3/4*g**3 + 1/4*g**4 - 3/4*g**2 - 7/4*g. (g - 1)**2*(g + 2)*(g + 3)/4 Let k(x) be the second derivative of -x**5/100 - x**4/12 - x**3/5 + 16*x - 1. Let k(w) = 0. Calculate w. -3, -2, 0 Let h(y) be the first derivative of 1/6*y**3 - 3/8*y**4 - y + 5 + 3/4*y**2 + 1/10*y**5. Suppose h(f) = 0. Calculate f. -1, 1, 2 Let b = 1 + 1. Factor 3*z**4 + 4*z**3 + 2*z + 2*z + 5*z**3 - z + 9*z**b. 3*z*(z + 1)**3 Let i be ((-45)/(-10) - 3) + -1. Let p(d) be the second derivative of d - 1/2*d**2 + 0 + i*d**3 - 1/6*d**4. Factor p(c). -(c - 1)*(2*c - 1) Let w(f) be the second derivative of -f**5/110 + f**4/66 + 2*f**3/33 + f. Find r, given that w(r) = 0. -1, 0, 2 Let k be (2/(-1))/((-2)/4). Suppose -7*f + 22 = -3*f - 5*z, 5*f = -k*z + 7. What is c in -f*c**2 + 2 + 3*c**2 - 2*c**2 = 0? -1, 1 Let i(s) be the third derivative of -7*s**6/60 + 3*s**5/10 - s**4/6 - 6*s**2. Factor i(g). -2*g*(g - 1)*(7*g - 2) Let i(w) be the third derivative of w**7/525 + w**6/100 + w**5/75 + 6*w**2. Factor i(g). 2*g**2*(g + 1)*(g + 2)/5 Let o(i) be the first derivative of -2 + 1/2*i**4 + 0*i**2 + 0*i + 2/5*i**5 - 2/3*i**3 - 1/3*i**6. Factor o(q). -2*q**2*(q - 1)**2*(q + 1) Let u = 13 + -23. Let z = -17/2 - u. Factor 3/2*l**2 + 3*l + z. 3*(l + 1)**2/2 Let w(j) be the third derivative of -j**7/1960 - j**6/840 + j**5/70 + j**4/14 - j**3/2 - 5*j**2. Let n(t) be the first derivative of w(t). Factor n(i). -3*(i - 2)*(i + 1)*(i + 2)/7 Let w(y) be the first derivative of y**4/4 - y**3/3 + 22. Factor w(o). o**2*(o - 1) Factor -3*r**2 - 4*r**3 - 7*r**3 + 9*r**3 + 6*r**2 - r**4. -r**2*(r - 1)*(r + 3) Suppose y + 0*y = 2. Let s be ((1 - 1)/y)/(-2). Factor -2/7*m**2 + 4/7*m**3 - 2/7*m**4 + 0 + s*m. -2*m**2*(m - 1)**2/7 Suppose 4*m - 9 - 3 = 0. Let n = m - 0. Factor 4 + 0*t + 3*t - 15*t**n + 14*t**2 - 6. -(t - 1)*(3*t - 1)*(5*t + 2) Suppose 2/5*t + 0 - 1/5*t**2 = 0. Calculate t. 0, 2 Let f(n) be the second derivative of 0*n**6 + 0*n**2 + 0 + 0*n**3 - 2/105*n**7 - 6*n + 1/25*n**5 + 0*n**4. Factor f(m). -4*m**3*(m - 1)*(m + 1)/5 Let t(r) be the second derivative of r**6/90 + r**5/30 - 5*r**3/6 + 6*r. Let y(z) be the second derivative of t(z). Determine b so that y(b) = 0. -1, 0 Suppose -7*n + 75 = -2*n. Let y be (-8)/(-20) + 39/n. Find s such that -s**3 + 3*s**y - 3*s**2 - 5*s**3 = 0. -1, 0 Let x(c) be the first derivative of -c**6/200 - 3*c**5/100 - c**4/20 + c**2/2 - 6. Let g(u) be the second derivative of x(u). Suppose g(h) = 0. Calculate h. -2, -1, 0 Let q be ((-5)/(-2))/((-355)/(-284)). Solve 6/11*n**q - 2/11*n**3 + 2/11 - 6/11*n = 0 for n. 1 Let o(h) be the third derivative of h**5/540 - h**4/108 + h**3/54 + 8*h**2. Find v such that o(v) = 0. 1 Let y = -4178/11 + 380. Factor 4/11*u**2 + y*u**3 + 0 + 2/11*u. 2*u*(u + 1)**2/11 Let s(z) be the first derivative of 1/2*z**2 - 2*z + 1/24*z**4 + 1/4*z**3 - 1. Let a(k) be the first derivative of s(k). Factor a(x). (x + 1)*(x + 2)/2 Let o(j) be the second derivative of j**6/360 - j**5/40 - 4*j**3/3 - 3*j. Let d(x) be the second derivative of o(x). Factor d(i). i*(i - 3) Suppose 0 = -38*p + 165 + 25. Factor -3/2*t**3 - 1/4*t - t**4 - 1/4*t**p - t**2 + 0. -t*(t + 1)**4/4 Let g(o) be the third derivative of -1/15*o**6 + 0 - 2/15*o**3 - 1/6*o**4 + 0*o - 1/420*o**8 - 2/105*o**7 - 2/15*o**5 - 2*o**2. Factor g(c). -4*(c + 1)**5/5 Let j = -321 + 327. Solve 6 + 3/2*i**2 - j*i = 0. 2 Suppose 0 = -p - 4 - 3. Let j(g) = g**3 - 8*g**2 + g - 6. Let o be j(8). Let y(z) = -z**2 + 2. Let f(u) = -3*u**2 + 7. Let b(d) = o*f(d) + p*y(d). Factor b(w). w**2 Let o(x) = -9*x**2 - x - 1. Let a(p) = -p**2 + p - 1. Let m(h) = 5*a(h) - o(h). Factor m(l). 2*(l + 2)*(2*l - 1) Let r(o) be the first derivative of 1/2*o**2 - 2 + 0*o + 3/8*o**4 + 5/6*o**3. Factor r(d). d*(d + 1)*(3*d + 2)/2 Let t be 76/28 - 4/(-14). Suppose 0 = -y + t*y. Solve y*n - 1/3*n**3 + 0*n**2 + 0 = 0. 0 Let -2/5*n**2 + 0 + 6/5*n = 0. What is n? 0, 3 Suppose 8*z**2 - 39*z - 6*z + 16 + 9*z = 0. Calculate z. 1/2, 4 Let n(o) be the third derivative of o**6/120 + 2*o**5/15 - 3*o**4/8 + o**3/2 - 3*o**2. Let s be n(-9). Let 0 + 0*g**2 - 1/2*g + 1/2*g**s = 0. Calculate g. -1, 0, 1 Let d = 0 - -3. Find n such that 4*n**5 - 7*n**3 - 4*n**4 - 3*n**5 + 3*n**d - 2*n**5 = 0. -2, 0 Let o(c) = c. Let s(q) = -q**3 - q**2 + 4*q + 1. Suppose 5*x + 3*v = -21 - 1, 2*x + 5*v + 24 = 0. Let k(j) = x*s(j) + 6*o(j). Suppose k(z) = 0. Calculate z. -1, 1 Let d be 4/10 + 18/5. Factor -y + y**2 + d - 4. y*(y - 1) Let d(m) be the third derivative of 0 + 1/75*m**5 + 1/300*m**6 + 0*m - 2/15*m**3 - 1/60*m**4 + 4*m**2. Determine i, given that d(i) = 0. -2, -1, 1 Determine o so that 0*o - 32/7*o**3 - 4/7*o**4 - 64/7*o**2 + 0 = 0. -4, 0 Let t(p) be the second derivative of p**4/6 - 7*p**3/3 + 10*p**2 - 33*p. Factor t(r). 2*(r - 5)*(r - 2) Suppose 3*c = 7*c - 8. Solve 15 - 6*s + 16 - c*s**2 - 35 = 0. -2, -1 Let w be -2*(-2)/20 - 25/125. Solve w - 2/7*y**2 + 0*y = 0 for y. 0 Let k = -4 - -9. Suppose u - 15 = -3*o, 18 = k*o - 2. Suppose 0*y**2 + 3*y**3 - 4*y**u - 3*y - 1 - 3*y**2 = 0. Calculate y. -1 Let 26*k**3 + 7*k - 35*k - 9*k**2 - 8*k - 11*k**3 - 12 = 0. Calculate k. -1, -2/5, 2 Let f(j) = -j**2 + 1. Suppose -3*q + 2*q - 1 = 0. Let h(x) = -2*x**2 + x + 1. Let s(n) = q*f(n) + h(n). Determine o, given that s(o) = 0. 0, 1 Let s be (55/(-22))/((-2)/16). Let y be (-3)/(s/(-8) - -1). Find r such that -2/5*r**3 - 4/5*r**y + 0 - 2/5*r = 0. -1, 0 Let b(k) be the second derivative of k**4/3 + 20*k**3/3 + 50*k**2 + 20*k. Let b(w) = 0. What is w? -5 Factor -a**2 + 5*a - 26*a - 12 + 14*a. -(a + 3)*(a + 4) Let z = -27 - -82/3. Let f(n) be the first derivative of 1/9*n**3 + 1 - z*n**2 + 0*n. What is x in f(x) = 0? 0, 2 Let z(f) be the second derivative of -f**7/280 - f**6/120 - f**3/3 + 6*f. Let h(n) be the second derivative of z(n). Determine o, given that h(o) = 0. -1, 0 What is k in k**2 - 6 - 13*k + 0*k**2 - k**2 + 5*k**2 = 0? -2/5, 3 Let w(x) = -x**2 + 5*x + 2. Let q be w(5). Factor 2*c**2 - 2*c**2 + c**q - 1. (c - 1)*(c + 1) Suppose 0 = 5*d + 15, 5*q + 162 = 5*d - 203. Let f = q - -230/3. Factor -2/3*l**3 + 2/3*l**2 + 0 + f*l - 2/3*l**4. -2*l*(l - 1)*(l + 1)**2/3 Let v(f) = f**2 + 6*f + 10. Let c be v(-5). Factor 4*o**3 - o**3 - o**3 + 0*o**5 - o - o**c. -o*(o - 1)**2*(o + 1)**2 Factor -s**2 - 13*s**3 - 3*s**2 + 6*s**2.
{ "pile_set_name": "DM Mathematics" }
Let w(a) = 4*t(a) + x(a). Determine w(-3). 23 Let x(l) = -138*l + 290*l - 155*l - 36. Give x(-13). 3 Let x(n) = 4*n**2 - 7*n + 2. Let o(c) be the first derivative of -2*c**3/3 + 2*c**2 - c - 11. Let m(k) = 7*o(k) + 4*x(k). Determine m(-1). 3 Suppose 14*g - 9*g - 20 = z, 3 = -3*g. Let q(r) = r**2 + 24*r - 20. Determine q(z). 5 Let m(u) = 11*u**3 - 14*u**2 - 9*u + 7. Let y(j) = -8*j**3 + 8*j**2 + 5*j - 4. Let t(l) = 4*m(l) + 7*y(l). Give t(1). -13 Let a(y) = 737 + 708 - 1439 + y**2 + 4*y. Suppose 2*l - 5*g + 10*g = 17, -l + 2*g - 14 = 0. Give a(l). 6 Let k be 3 + (3/1)/(-3). Suppose -k = -2*a + 2. Let h(s) = s**3 - 4*s + 4*s**2 - 4*s**2 - 5*s**a - 4. Give h(6). 8 Suppose -3*v + 2 = -k, -3*v + 2*k + 6 = -k. Let y be (1 + 2 + v)/(-1 - -2). Let n(s) = -s**2 - 2 + 2*s + 0*s + s. Determine n(y). -2 Let f(q) be the first derivative of -q**5/120 - q**4/3 + 20*q**3/3 - 6. Let g(m) be the third derivative of f(m). Determine g(-4). -4 Let r(d) = -d**3 + 6*d**2 - 4*d + 11. Suppose 4*j = -3*w + 3*j + 10, -w + 5*j + 30 = 0. Determine r(w). 16 Let s(q) be the third derivative of -q**6/60 - q**5/5 - q**4/8 - 8*q**3/3 + 707*q**2. What is s(-6)? 2 Let o(y) be the third derivative of y**7/2520 - y**6/720 + y**5/30 + 2*y**2. Let x(k) be the third derivative of o(k). Let b = 89 - 92. Calculate x(b). -7 Let g be (-1 - 0)/(4/8). Let a = g - -4. Let m(v) = 6 - a*v**2 + 7*v**2 - v**3 + 0 - 4*v**2. Give m(0). 6 Let r(a) = -a + 3. Suppose 4*m + 4*c = 19 - 63, -c + 22 = -2*m. Let u be (-52)/6 + 2/3. Let n = u - m. What is r(n)? 0 Let l(g) = 3*g**2 - 71*g + 44. Let u be l(23). Let x(i) = 6*i + 2. Give x(u). -10 Let z = -7 - -42. Let w(k) = -59*k + z*k + 30*k. What is w(2)? 12 Let q(d) = -103*d**2 - 2 - d - 96*d**2 + 200*d**2. Let f(o) = -o**3 - 8*o**2 + 3*o + 20. Let k be f(-8). What is q(k)? 18 Let a = 863 - 858. Let g(j) = -j. Let k(o) = 5*o + 1. Let i(z) = 4*g(z) + k(z). Calculate i(a). 6 Suppose 2 = -3*g - 22. Let w(z) = -7*z**2 + 25*z + 11. Let l(s) = -3*s**2 + 12*s + 5. Let x(d) = -9*l(d) + 4*w(d). What is x(g)? -1 Let p(s) be the third derivative of -s**4/6 + s**3/6 + 3*s**2 - 15. Determine p(4). -15 Suppose -2*o = -o. Suppose 0 = -o*i + 2*i. Let t(d) = d - 1. Let m(s) = -2*s + 1. Let w(g) = -4*m(g) - 9*t(g). Determine w(i). 5 Let w be (-1 - (17 - -4))*5/(-2). Let c(l) = -l**3 + 23 - 6*l**2 - w - 7*l + 2*l**3 + 29. Suppose -2*d = -6*d + 28. Calculate c(d). -3 Let j = -746 - -742. Let s(f) = f**2 - 7. What is s(j)? 9 Let t = -5 + 4. Let l(z) = 728*z - 369*z - 357*z - 9*z**2 + 1. Calculate l(t). -10 Let n(c) = -4*c**2 - c - 2. Suppose 0 = -2*k - 2*u + 4 - 2, -3 = -3*k + 3*u. Let r be 30/16 - k/(-8). Give n(r). -20 Let y(d) be the first derivative of -4*d**2 - 3*d - 137. Give y(-2). 13 Let x(f) = -f. Let v be (6 + -4 - 2) + 2. Let u(d) = d**3 + 9*d**2 + 8*d - 2. Let g be u(-8). Let a = g + v. What is x(a)? 0 Let c(j) = -3*j**3 - j**2. Suppose -w = -4*y + 15, -5*w = -4*y - 0*y + 11. Calculate c(w). -4 Let o(n) = -n - 1. Let g = 16 + -11. Suppose -g*h + 12 = s - 10*h, -12 = -s - 5*h. Let k be (-1)/4 + (-9)/s. What is o(k)? 0 Let s(t) = -t + 8. Let w be s(6). Let b(h) = -w*h**2 - 3*h + 4*h**2 + 6*h. Let v be 1/((-2)/12*2). Determine b(v). 9 Let n be ((-2)/(-4))/(1/(-10)). Let x(u) = -21*u - 1 - 16 + 6 - 20*u + 40*u. Give x(n). -6 Suppose 10 = 5*v, 55*v + 1 = d + 52*v. Let i(s) = -s - 19. Determine i(d). -26 Let r be ((-126)/27 - -2)*9/(-2). Let h(l) = 4*l - 47. Calculate h(r). 1 Let y(g) be the second derivative of 3/2*g**3 + 9/2*g**2 + 0 + 28*g + 1/12*g**4. Suppose 3*w + 12 = w. Give y(w). -9 Let s(v) be the first derivative of 3 + 3*v**2 - 6*v - 1/3*v**3. What is s(5)? -1 Let z(t) = 37*t - 149. Let u be z(4). Let n(l) = -10*l**3 - 2*l**2 - l. Determine n(u). 9 Let u = 489 - 494. Let h(w) = 2*w - 7. What is h(u)? -17 Let l(a) = -a**3 + 8*a**2 + 10*a - 12. Suppose b + 0*b - c - 7 = 0, -10 = 5*c. Suppose 28 = -4*m - 5*x + 79, b*x - 33 = -2*m. What is l(m)? -3 Let c(l) be the second derivative of 0*l**3 + 1/4*l**4 + 5*l + 0 + 0*l**2 - 1/20*l**5 + 1/720*l**6. Let b(g) be the third derivative of c(g). Determine b(3). -3 Suppose 20*j - 8*j - 72 = 0. Let d(m) = -7*m**2 + 7*m. Let s(a) = -20*a**2 + 21*a - 1. Let g(h) = -17*d(h) + 6*s(h). Give g(j). 0 Let t(j) = j**3 + 5*j**2 + 2. Let a be t(-5). Let m(g) = 7 - 7 + 2*g - 4 + 3 + 4*g**a. Let d = -17 - -18. Give m(d). 5 Suppose -2*b - 25 = 49. Let p = b - -43. Let o(r) = -3*r**2 + 6*r**2 - 8*r - 2*r**2 + 8. Determine o(p). -4 Suppose i = -5*i + 24. Let b be 5 - (-4)/(-2 - 2). Let d(k) = b*k**2 - 4*k**3 + 5*k**3 - 2*k**3 - 4 + k. Give d(i). 0 Let m(j) = -4*j + 141 - 278 - j + j**2 + 135. Determine m(5). -2 Let y(t) be the second derivative of 11*t**5/20 - t**4/12 - t**3/6 - t**2/2 - 2*t. Suppose -z = 19 - 18. What is y(z)? -12 Let r(w) = -w**2 - 3*w + 5. Let t be -10 + 6 - (0 - 6). Suppose j - t*j = 4. Determine r(j). 1 Suppose 2*z = 15*z - 65. Let i(a) = a - 3. Calculate i(z). 2 Let n(z) = 11*z**2 - 3*z + 4 + 0*z - 4*z + 0*z. Let a(d) = -5*d**2 + 3*d - 2. Let m(c) = -9*a(c) - 4*n(c). What is m(-2)? 4 Let o(b) = 2*b + 6*b**2 + 13*b**3 - 9 + b**3 - 15*b**3. Calculate o(6). 3 Let m(y) = y**2 + 9*y + 5. Suppose 0 = -7*d - 14 + 7. Let b be (-2 - d)/(11/66). Give m(b). -13 Let l(t) = t - 2. Let o be l(1). Let q be (-9)/((-4 - o)/9). Suppose -q = -5*p - 2. Let v(u) = u**3 - 4*u**2 - 3*u - 5. Give v(p). 5 Suppose -2*h = -3*h + 2. Suppose -2*f - 2*w = 3*w - 12, -h*f = -w. Let t(r) = r**2 + 1 + 10*r**2 + 25*r - 26*r. What is t(f)? 11 Suppose -2*d = -1 - 13. Let v = -13 + 18. Let r(f) = 4*f - 16. Let s(g) = -6*g + 24. Let q(a) = d*r(a) + v*s(a). What is q(6)? -4 Let m be (-17)/(-4) - 1/4. Suppose 0 = 4*s - 3*s - 4*j - 1, -19 = -m*s + j. Let i(h) = s*h + 8*h - 14*h + 7. Determine i(5). 2 Let r(s) = 7*s - 1. Let o = 26 - 15. Suppose -2*c = o - 9. Calculate r(c). -8 Suppose -4*a = 3*g - 15, 7*g - 3 = -3*a + 2*g. Let y(o) = 4*o**2 - 3*o + 6. Let i(k) = -k**2 - k - 1. Let m(d) = -3*i(d) - y(d). Calculate m(a). -3 Let g(w) be the third derivative of -w**4/6 + 2*w**3/3 - 64*w**2 + 1. What is g(-8)? 36 Let v(x) be the first derivative of -2*x**2 - x + 4. Give v(1). -5 Let k(b) be the first derivative of -b**2/2 + 9*b - 4. Let u be k(0). Suppose 3*f + 30 = u. Let c(d) = -d**3 - 7*d**2 - d - 10. Calculate c(f). -3 Let b(n) be the third derivative of n**6/120 + n**5/60 - 5*n**4/24 + n**3/2 - 110*n**2 - 1. Give b(-4). -25 Let p = 280 + -291. Let v(j) = -j**2 - 11*j - 10. What is v(p)? -10 Let l(b) = b**3 - b**2 + b + 2. Let d(c) = c**3 - c - 1. Let v(t) = -t**3 - 6*t**2 + 4*t - 8. Let z(y) = -2*d(y) - v(y). Let f be z(6). What is l(f)? -12 Let n(q) = -3 - 1862*q**2 + 4*q + 1861*q**2 + 3*q + 2*q. Calculate n(8). 5 Let v(y) be the second derivative of 2*y**3/3 + 7*y**2 - 26*y - 3. Let p(d) = -3*d - 13. Let h = 11 + -17. Let b(x) = h*p(x) - 5*v(x). Calculate b(6). -4 Suppose 2*v - 20 = -10. Let a(w) = -8*w**2 - 16*w**2 + 25*w**2 - 7*w + 5 + 0. Give a(v). -5 Let o be (0 + 1)*1 + 6. Let y(k) = -7*k**2 + 50*k + 2. Let w(p) = 3*p**2 - 22*p - 1. Let i(l) = -5*w(l) - 2*y(l). Give i(o). 22 Let h(k) = k**3 - 2*k**2 - 2*k - 1. Let t(b) = -b**2 - 20*b - 2. Let j be t(-20). Determine h(j). -13 Let h(w) = -w**2 - w + 0*w**2 + 0*w + 0*w**2 + 20. Suppose -15*f = -23*f + 10*f. What is h(f)? 20 Let x = -31 - -39. Suppose -1 - 7 = x*l. Let m(b) = -8*b**2 - 2*b - 1. Determine m(l). -7 Let i(c) be the first derivative of c**2/2 - c + 78. Determine i(7). 6 Let v(o) be the first derivative of o**7/840 - o**6/120 + o**5/60 + o**4/12 + 2*o**3/3 + 11. Let q(i) be the third derivative of v(i). What is q(3)? 8 Let a(t) be the first derivative of -10*t**3/3 + t**2 - t + 1. Let m(y) = y**3 + 13*y**2 + 14*y + 23. Let n be m(-12). Let c = 2 + n. Give a(c). -9 Suppose -i = 3*i - 16. Let m(y) = -y**2 + 2*y. Determine m(i). -8 Let s(y) = 6*y**3 + 4*y**2 - y - 6. Let m(a) = a**3 + a. Let d(x) = 5*m(x) - s(x). What is d(-5)? 1 Let g be -1 - ((-60)/50)/(3/10). Let t(i) = 7*i - 2. Determine t(g). 19 Let q(t) = 3*t - 3. Let n(y) = 8*y - 39. Let r be n(4). Determine q(r). -24 Let n(i) = -i**2 + i + 1. Let o(x) = 6*x**2 - 19*x - 22. Let s(g) = -5*n(g) - o(g). Let d be s(15). Let j(r) = -r**d - r + 6 + r - 4*r + 3*r. Calculate j(0). 6 Let h(s) = s**3 - 2*s**2 + 3*s + 2. Let d be h(2). Let p(b
{ "pile_set_name": "DM Mathematics" }
(l*l*l*l**(-9/5)) assuming l is positive. l**(1009/55) Simplify ((t**(-1)*t/(t/t**(1/5)))/(t**6/t**(-1/4)))**(-3/4) assuming t is positive. t**(423/80) Simplify ((n/n**(-2/87))/n**(33/2))/(n**(1/29)*n/(n*n*n**(-17)/n)) assuming n is positive. n**(-5657/174) Simplify (m*(m/(m*m*m/m**(1/5)))/m*m**(2/63)*m)**(-5/3) assuming m is positive. m**(242/189) Simplify (((h*h**3/h*h)/h**(-3/11))**(-11))**(-1/6) assuming h is positive. h**(47/6) Simplify (m**(-1/3))**(-1/16)/(m**(-3/11))**(4/3) assuming m is positive. m**(203/528) Simplify ((b*b/(b**5*b))/b**(-22))/(b**(-5/6)/b**(3/23)) assuming b is positive. b**(2617/138) Simplify (n**(-1))**(2/5)*(n/n**31)**(3/19) assuming n is positive. n**(-488/95) Simplify (((g*g**1)/(g**(2/25)/g))**(-5/2))**11 assuming g is positive. g**(-803/10) Simplify (((b*b**2)/b)**(-12))**(13/3) assuming b is positive. b**(-104) Simplify (m*m/m**(-4))**(-1/27)*(m**(-11)/m)/(m*m**(-9/2)) assuming m is positive. m**(-157/18) Simplify (s**5*s/(s*s**2)*(s*s**(2/3))/((s/(s**(-9)*s)*s*s)/s))**(1/3) assuming s is positive. s**(-16/9) Simplify ((w/(w/w**(1/30)))/(w/w**31))/(w*w**(-9/8)*w**(-34)) assuming w is positive. w**(7699/120) Simplify (l**(3/7)/l**(-2/7))/((l*l**(-3))/l*l**(-1/18)) assuming l is positive. l**(475/126) Simplify (d/(d*d**(-5)*d)*d*d/d**2)/(d/(d**2/d))**2 assuming d is positive. d**4 Simplify ((((s*s**(-23)*s)/s)/s)/s*s**(1/9)*s*s)**(-18) assuming s is positive. s**394 Simplify (r**(1/5))**(3/5)/(r**11*r**(-17)) assuming r is positive. r**(153/25) Simplify (v*v**5*v/v**(-4/7)*(v*v**0/v)**32)**(-20) assuming v is positive. v**(-1060/7) Simplify ((b**(-2/3)*b*((b*(b*b**(3/2))/b*b)/b)/b)/(b**3*b*b**(2/3)))**(-5/3) assuming b is positive. b**(85/18) Simplify (g**(-1/10)*g/((g**0/g)/g)*g)/(g**13*g**(-4/9)) assuming g is positive. g**(-779/90) Simplify ((x**(-12)*x**(-1))/(x**(1/3))**(-10))**(-12/7) assuming x is positive. x**(116/7) Simplify ((i*i*(i*(i/(i/(i/(i/i**14))))/i)/i*i*i*i**(1/13))**(2/53))**(-41) assuming i is positive. i**(-18204/689) Simplify h/h**(-1/20)*h**6*h**(-1/9)*h**(-3/11) assuming h is positive. h**(13199/1980) Simplify (((m*(m*m**(5/14))/m*m)/m)/(m*(m**(-40)/m*m)/m))/((m*m**(-17))/m*m**(-4/11)) assuming m is positive. m**(9043/154) Simplify ((y**(1/5)/y*y)/y**(-8/7))/((y/(y/(y/(y/(y/(((y**(-13)/y)/y)/y))))))/((y/y**(-3/5)*y)/y)) assuming y is positive. y**(-492/35) Simplify (z**(-13))**21*(z**(-10)*z)**49 assuming z is positive. z**(-714) Simplify (x*x*x/(x*x**(-2/7))*x)**(-4/7)/(x**(-2/5))**(-2) assuming x is positive. x**(-656/245) Simplify (((q*(q/(q*q*q/q**21)*q)/q)/q)/q**13)/(q**(2/25)/q**(2/5)) assuming q is positive. q**(158/25) Simplify (h**(-4)/(h*(h/h**(-2/19))/h))/(h**(-15)/(h**(-2)/h)) assuming h is positive. h**(131/19) Simplify l**(2/9)/(l*l**13*l)*(l/l**(2/29)*l)/(l*l**9) assuming l is positive. l**(-5963/261) Simplify r*r*r**(-13)*r*r*(r/(r*r/r**(3/7)*r*r))/r*r*r/(r*r/r**(-8))*((r/(r/(r*r**(-3/7))*r))/r)/r assuming r is positive. r**(-23) Simplify (((c/(((c*(c**(1/21)/c)/c)/c)/c)*c)/c)/(c**(-1/3)/c))**(-2/7) assuming c is positive. c**(-74/49) Simplify a*a*a/(a*a/(a/(a/a**(-3))*a))*a*a*a**(-1)*(a/a**5)/a*a/a**(-5/4) assuming a is positive. a**(-11/4) Simplify (c*c*(c/(c*c**(-3/7)))/c)**35*c**22/c*c*c**(-2/73) assuming c is positive. c**(5254/73) Simplify (h**(-1/6)*h)**(-3)*(h**(-7)*h)/h**(-11) assuming h is positive. h**(5/2) Simplify (x*x**(7/2))/x**(-3/8)*(x/((x*x**1*x)/x*x*x))**(3/44) assuming x is positive. x**(411/88) Simplify (k**(-2)/(k/(k**(-13)*k)))/(k**(-3/4)/k)**(-1/21) assuming k is positive. k**(-181/12) Simplify (w**(-1/6)/(w**(2/9)/w)*(w**1)**(-3))**(4/21) assuming w is positive. w**(-86/189) Simplify ((k**(-6)*k/(k*k*k/(k*k**(-3/4)*k)))**(-1/32))**14 assuming k is positive. k**(189/64) Simplify (b**(12/5)/((((b*b/b**(-9))/b)/b)/b))/(b/(b*b*b**(-2/13)*b*b))**(-4/7) assuming b is positive. b**(-3288/455) Simplify d**(-2/11)*d*d*d**(-14)*(d*d**(6/13)*d)/d**(-2/9) assuming d is positive. d**(-12224/1287) Simplify (l**0*l*l)**(-12/5)/((l*l**(1/3))/(l/(l*l/(l**5*l)))) assuming l is positive. l**(-17/15) Simplify (u**(-4/15))**(-32)*(u**(-9))**10 assuming u is positive. u**(-1222/15) Simplify (t**(-15/4)/(t**(1/4)/t))**39 assuming t is positive. t**(-117) Simplify (w**(-11))**24/((w*w/w**11*w*w)/(w**(-26)/w)) assuming w is positive. w**(-284) Simplify o**1/(o/((o**(-6)/o)/o))*(o**(1/4))**(5/6) assuming o is positive. o**(-187/24) Simplify ((t**0/t)/(t/(t*t**(-3/4)*t)))**(2/37) assuming t is positive. t**(-3/74) Simplify o/(o*o**1)*o**(-14)*o*o*o*o**16*o*(o*(o/o**(3/7)*o)/o*o)/o assuming o is positive. o**(46/7) Simplify (s/(s/(s/(s*s*s**(11/6)))))/(s*s**(-12)*s)*(s**(1/4))**(-21) assuming s is positive. s**(23/12) Simplify (h**(-5/6)/h)/h**(-6)*(h/(h/(h/(h**(-2/5)/h))*h))/(h*h/(h**(3/8)*h)) assuming h is positive. h**(593/120) Simplify ((((c/(c*c**(-8)*c*c))/c)/(c/(c*(c**(-2/37)*c*c)/c*c)))**(2/57))**(39/5) assuming c is positive. c**(6682/3515) Simplify s**(1/10)*s*s/s**(-1/26)*(s/(s*s/((s*s/(s*s*s**(-4))*s)/s)))**(-1/9) assuming s is positive. s**(352/195) Simplify ((((z**(2/7)/z)/z)/z)/(z/(z*z/((z**(-12)*z)/z))))/(z**(2/29)*z*z/(z*z**(-4/9)*z*z)) assuming z is positive. z**(19681/1827) Simplify (a*(a/(a/(a/(a/a**5))))/a)/a*a**(-3)*a**(-7/2)/a**4 assuming a is positive. a**(-13/2) Simplify ((((d**(-2/39)/d)/d)/d)**(-44))**(5/12) assuming d is positive. d**(6545/117) Simplify (((t**0/t)/((t**1*t)/t))**(-7/5))**(3/43) assuming t is positive. t**(42/215) Simplify (((y**(-2/41)/y)**2)**(-26))**(-17) assuming y is positive. y**(-38012/41) Simplify r**(-23)*r*r**23*r*r**(1/7)/((r*r/r**(-8/3))/r) assuming r is positive. r**(-32/21) Simplify (y**17)**(-8/13)*((y*y/y**1*y)/y)/(y*y*y**(2/39)) assuming y is positive. y**(-449/39) Simplify ((l*l**(-9))/l)**(10/7)/(l*l**(1/17)/l*l*l*l**1*l) assuming l is positive. l**(-2013/119) Simplify (h**(-1))**(-2/3)/(h*h**(9/5)*h**(-1/2)*h) assuming h is positive. h**(-79/30) Simplify (o/(o/o**(-2/5)))**(21/4)/(o**1)**37 assuming o is positive. o**(-391/10) Simplify ((b/(b**(2/15)/b))**(5/3))**(-2/11) assuming b is positive. b**(-56/99) Simplify (o*o**(1/21))**(-2/45)/(o**(2/11)/(o**15*o)) assuming o is positive. o**(163946/10395) Simplify s*s**(2/59)*s*s/(s/(s*s*s**12*s))*(s*s**(-1/4))/(s**(-13/5)/s) assuming s is positive. s**(25233/1180) Simplify (m**(-15)*m*m*m**(1/15)/m)/(m**3/(m**(2/67)/m*m)) assuming m is positive. m**(-16988/1005) Simplify ((i**(-6)/(i*i**3*i))**13)**(-45) assuming i is positive. i**6435 Simplify s*s/s**13*s*s/s**(-12)*s**(-3)/(s/s**12*s) assuming s is positive. s**10 Simplify (b/(b*b**(2/29)))/b**12*b**(-3)/((b/(b*(b**(-10)*b)/b)*b)/b*b) assuming b is positive. b**(-756/29) Simplify d*d*d/(d*d/d**(2/13)*d)*(d**(5/2)*d)/d*(d*d*d**2)/d*d**(-1/12)/d assuming d is positive. d**(713/156) Simplify (y/y**(2/47)*y/(y*y**(-4/21)*y))/((y*y**(-15/4))/(y*y/(y/(y**26*y*y)))) assuming y is positive. y**(125933/3948) Simplify i**3*i/(i/(i**(-13)*i)*i)*(((i*i**(-1/6))/i*i)/i)/(i**(-3)*i) assuming i is positive. i**(-49/6) Simplify (z**(6/7)/(z/((z**(13/2)/z*z)/z)))/((z**(-5/3)/z)/z**(-6)) assuming z is positive. z**(85/42) Simplify (t**(-1/8))**(8/7)*((t/(t/t**(-1))*t*t)/t)**(-34) assuming t is positive. t**(-1/7) Simplify ((u/u**2)/(u**18*u))/(u**(-4/5))**(-35) assuming u is positive. u**(-48) Simplify ((c**(3/2)/(c*(c**8*c*c)/c*c*c*c))/(c**(-9)*((c/(c/(c**(-3/4)*c)*c))/c)/c))**(-40) assuming c is positive. c**(-10) Simplify (q**(2/19)*(q/(q*q**(-2)))/q)/(q**(2/47)/q)**(-9) assuming q is positive. q**(-6708/893) Simplify (m**(2/13))**(8/3)/(m*m**(-6))**34 assuming m is positive. m**(6646/39) Simplify ((o*o/o**(-11)*o*o/(o*o/o**12))**(13/5))**(-20/9) assuming o is positive. o**(-1300/9) Simplify ((l/((l/(l**(-1/4)/l)*l)/l)*l*l*l*l*l/(l/((l*l/((l/l**0)/l))/l*l))*l*l)/(l*l**(2/9)*l**(-2)/l))**6 assuming l is positive. l**(307/6) Simplify q/(q*q**(-4/15))*q**20*(q/((q/(q/q**(9/4)))/q))/(q*q**(3/4)) assuming q is positive. q**(274/15) Simplify ((x**(-1/3))**(-2/37)/(x**(-2/11)*x/x**(-4)))**(-47) assuming x is positive. x**(275467/1221) Simplify (w**(-2/13)*w**(-1)*w/w**(-1/10)*(w*w*w**(1/6)*w*w*w*w)/w)**(2/3) assuming w is positive. w**(1994/585) Simplify (f**5)**(-41)/((f**(-5)*f)/(f/((f*f*f**(7/5)*f)/f))) assuming f is positive.
{ "pile_set_name": "DM Mathematics" }
+ 9. Let d(h) = -2*h + 12. Let q be d(5). Let n be (2 + -8 + q)*2/1. What is the units digit of y(n)? 9 Let k = 31346 - 6270. What is the ten thousands digit of k? 2 Let i be 69 + (-5)/1 + 0. Suppose 1040 = 68*o - i*o. What is the hundreds digit of o? 2 Let k be -4 + (11 - (-1 - 3)). Suppose k*c - 13*c + 18 = 0. Suppose 0 = 3*h - c*h + 186. What is the tens digit of h? 3 Suppose -20*r + 43*r = -38157. Let a = -1050 - r. What is the tens digit of a? 0 Suppose 100337 = 4*j - 110391. What is the thousands digit of j? 2 Let d(c) = 2*c**3 + c**2 - 2*c + 1. Let k be d(1). Let j be (1/k)/((-4)/(-296)). Suppose s - 10 = j. What is the tens digit of s? 4 Suppose 0 = -3*i + 4*p - 2*p - 1450, -i + 2*p - 486 = 0. Let f = -332 - i. What is the units digit of f? 0 Let z be 82/(-10) - (-5)/25. Let a be 44436/(-15) - -3*z/(-60). What is the tens digit of (2 - (-168)/(-91)) + a/(-13)? 2 What is the units digit of (180/(-24))/15*-254*4? 8 Suppose 352 = 2*m + 6*m. What is the units digit of 48/m*66/12? 6 Suppose -9*m - 454 + 544 = 0. Suppose m*u + 24*u = 48722. What is the tens digit of u? 3 Let x = -111 + 113. Suppose 5*i + 23 = 3, -4*i = x*j - 30. What is the units digit of j? 3 Let l be 19981/39 + (-4)/(-6). Let d = 357 + l. What is the tens digit of d? 7 Let p(b) = -8*b**2 - 6*b + 90. Let h(z) = 9*z**2 + 6*z - 91. Let i(l) = -4*h(l) - 5*p(l). What is the hundreds digit of i(10)? 3 Let x(g) = -1629*g - 6614. What is the hundreds digit of x(-37)? 6 What is the tens digit of 303/1515 + 83368/10? 3 Suppose h + 3*z - 1386 = 6*h, 273 = -h + 2*z. Let q = -77 - h. What is the units digit of q? 2 Let t be (-3285)/135*(-1 - 2)*1. Let d = 173 - t. What is the tens digit of d? 0 Let t be 0 + 1255 + (-15)/(-60)*-8. Let h = -238 + t. What is the hundreds digit of h? 0 Let l(x) = 81*x - 8. Suppose 0 = -4*f - 4*k + 60, f - 61 = -4*f + 2*k. Suppose -4*o + 11 = z, -o + 11*z = 6*z + f. What is the tens digit of l(o)? 5 Let j = 468 - -2758. What is the units digit of j? 6 Let i(g) = 51*g**2 + 3*g - 6. Let v = 117 + -114. Let q be i(v). Suppose -1606 + q = -13*x. What is the units digit of x? 8 Suppose 17*h - 15*h + 42 = 0. Let j = h - -24. Suppose -137 - 16 = -j*l. What is the units digit of l? 1 Let b(k) = -3*k**3 + 3*k**2 + k - 4. Let n be b(2). Let f be n*-1*4/8. Suppose -2*h - f = -47. What is the tens digit of h? 2 What is the units digit of (4 - 19 - -13)*(-83271)/(-3 + 6)? 4 What is the thousands digit of (-728)/455*38535/(-12)? 5 Suppose 0 = 2*x - 5*a + 15, 6 = -5*x + 14*a - 12*a. Let b be (-4)/22 - 1332/(-66). Suppose -b = -5*w, o = -x*w - w + 89. What is the tens digit of o? 8 Let z(w) = 40*w**2 - 75*w - 840. What is the tens digit of z(-21)? 7 Suppose 16*i + z - 27258 = 12*i, 0 = i + 4*z - 6807. What is the thousands digit of i? 6 Suppose -3*t + 7877284 = 3*t + 206*t. What is the hundreds digit of t? 1 Suppose -6*n - 10 - 8 = 0. Let s be n*1*4/(-3). What is the tens digit of 4/s + (1 + 68)*1? 7 Let i = 254 - 150. Let l = 932 + i. What is the thousands digit of l? 1 Let c(l) = 30*l**3 + 5*l - 5. Let p = -48 + 50. What is the tens digit of c(p)? 4 Let s = -2374 + 6491. What is the hundreds digit of s? 1 Let s(d) = 4*d**2 + 2*d - 1. Let u(w) = w**2 - w - 1. Let y(n) = s(n) + 4*u(n). What is the tens digit of y(7)? 7 Let o be 2/2 - (-4 - 33). Let x = -35 + o. Suppose x*h = h + 16. What is the units digit of h? 8 Let g(y) = -y. Let d be g(-4). Suppose 1854 = 5*r - m - 771, -d*r - 5*m = -2100. What is the tens digit of r? 2 Let o = -125 - -128. Let n = 398 - o. What is the tens digit of n? 9 Let b(y) = -2*y**2 + 12*y - 4. Let p be b(5). Suppose -42 = p*g + g. What is the tens digit of (236/g)/(2/(-3))? 5 Let p = 20 - -117. Suppose 1 = 2*b - p. What is the units digit of b? 9 Suppose -4*t + 10*x = -72036, -5*t + 30*x - 27*x + 90007 = 0. What is the thousands digit of t? 7 Suppose 2*b + 272 = 236. Let m(v) = -v**3 - 12*v**2 + 9*v - 13. What is the tens digit of m(b)? 6 Suppose -6 = -2*u - 5*q, -u + q = 2*u - 9. Suppose 263 = 4*k + u*a - 885, 0 = -a. What is the tens digit of k? 8 Suppose 49*d - 871463 - 452517 = 0. Suppose -d = -7*u - 13*u. What is the hundreds digit of u? 3 Let z = -45 - -122. Suppose -z = -p + 64. What is the units digit of p? 1 Let n(s) = 12 - s**2 + 85*s - 29*s - 13*s. What is the tens digit of n(31)? 8 Let q(y) = y**3 + 22*y**2 - 31*y - 20. Let s be q(-23). Let m = s - 23. What is the units digit of m? 1 Suppose -3*j = -6*j + 6. Suppose -s + 6 = j*m, s + 4*m = 6*s + 12. What is the units digit of s + (-1)/(-3) + 51/9? 6 Let j = 1314 - -811. What is the units digit of 3/7 + j/7? 4 Let r(m) = -47*m + 53. Let s be r(4). What is the hundreds digit of (s/18 + -3)*-94? 9 Let q = 98467 - 69690. What is the tens digit of q? 7 Let u(n) = -n**3 + 9*n**2 - 2*n + 22. Let l be u(9). Suppose 4*f + 3*t = 116 + 61, l*f - t - 197 = 0. What is the tens digit of f - ((-11)/(-9) + 6/(-27))? 4 Let g(k) = 298*k - 6603. What is the units digit of g(24)? 9 Let r = 81 + -38. Let u = 272 - 135. Let o = u - r. What is the tens digit of o? 9 Let h(c) = -2*c**2 - 6*c - 32. Let x be h(0). What is the hundreds digit of (8830/(-12))/(-5) + x/192? 1 Let j = 3230 - -13304. What is the units digit of j? 4 Let f(w) = -3*w + 1. Let u(s) = 100*s - 25. Let d(a) = -4*f(a) - u(a). What is the tens digit of d(-2)? 9 Suppose 5*z + 4*j - 9*j = 103555, -4*j + 103501 = 5*z. What is the tens digit of z? 0 Let n be -9*((-28)/(-6) - 5). Suppose 0 = 4*j + 2*r - 1838, -n*r = -4*j - 4*r + 1843. What is the units digit of j? 2 Let m(b) be the second derivative of b**5/20 - 11*b**4/12 - 3*b**3 - 29*b**2/2 - b + 19. What is the tens digit of m(13)? 7 Let l = -3155 - -7782. What is the thousands digit of l? 4 Suppose 5058 = 2*i - 3*r + r, 4*r = -20. Suppose i = -6*d + 7504. What is the units digit of d? 0 Let z = -767 + 789. Suppose -z*m - 26*m + 27984 = 0. What is the units digit of m? 3 Suppose -m - 29372 = -3*z, 3*m = 4*z - 17020 - 22131. What is the hundreds digit of z? 7 Let b(g) be the first derivative of -g**4/4 - 4*g**3/3 + 6*g**2 + 27*g + 168. What is the units digit of b(-6)? 7 What is the units digit of (-2822)/3*(187/55)/(2/(-15))? 7 Let a be (1 - 2)*(-12 - 3). Let t be 6/a - 388/(-5). Let i = -22 + t. What is the units digit of i? 6 Let s = -3 + 2. Suppose 0 = -n - 4*v + 22, 0 = -n + 5*n + v - 133. What is the units digit of (-10)/(-15)*s*(1 - n)? 2 Let z be ((-16)/6)/(1/18). Let n = 62 - z. Let h = n + 44. What is the hundreds digit of h? 1 Let j(o) = o**3 - 21*o**2 + 20*o + 5. Let z be j(20). Suppose -4*i = 5*u + 54, -3*u - z*i = 6 + 16. What is the tens digit of (u + 1)*(-2)/(1 - 0)? 2 Suppose -208*o = -43*o - 3381510. What is the hundreds digit of o? 4 Let p = 473 - 55. Suppose -8*g + 6*g = -p. What is the hundreds digit of g? 2 Let s(o) = 23611*o**2 - 2*o - 5. What is the tens digit of s(1)? 0 Suppose t = -4*u + 29611, 1107*u = -2*t + 1102*u + 59243. What is the units digit of t? 9 Let u = 128 - 126. What is the hundreds digit of (u/6)/((30/(-7542))/(-5))? 4 Let y(l) = l**3 - 7*l**2 - 111*l - 56. What is the hundreds digit of y(29)? 2 Suppose -37*l + 309424 = 14830. What is the units digit of l? 2 Let f(k) = -k**3 + 24*k**2 - 17*k - 461. What is the hundreds digit of f(-21)? 7 Let c be (-486)/36*4/6. Let v(r) = r**2 + 9*r - 32. Let g be v(c). What is the units digit of (3 - g)*4/6*3? 0 Let s(m) = 48*m**2 + 13*m - 8. Let h(c) = 2*c**2 + c - 12. Let y be h(-3). What is the units digit of s(y)? 3 Let n = 16899 - 11808. What is the thousands digit of n? 5 Let u(d) = 77*d**2 + d + 1. Let a = 6 + -64. Let w = 59 + a. What is the units digit of u(w)? 9 Suppose -801*z - 62270 = -811*z. What is the hundreds digit of z? 2 Suppose 0 = 8*w - 628 - 332. Let p(a) = -4*a**3 - a**2 - 2*a - 1. Let q be p(-1). Suppose i - w = c - q*c, i = 3*c - 126. What is the units digit of c? 1 Suppose 0 = 2*s + 16*s - 4698. Suppose -140 = -2*k + 160. Let a = s - k. What is the hundreds digit of a? 1 Let n(f) = -2*f**2 - 2*f + 8. Let z be n(0). Let g(u) = 51*u - 4. What is the tens digit of g(z)? 0 Let w = -24 - -179. Let u = w - -722. What is the units digit of u? 7 Let f(r) = 430*r**2 - 3*r - 2. Let s be f(-1). Suppose 3*l - 6*l + 1229 = -4*a, -4*a = l - s. What is the hundreds digit of l? 4 Let m = 4 - -71. Let q
{ "pile_set_name": "DM Mathematics" }
ree letters picked without replacement from tpqttttttpqtptt. Give prob of picking 2 q and 1 p. 3/455 Three letters picked without replacement from aiiiiixibiubxiwibui. Give prob of picking 1 w, 1 b, and 1 i. 10/323 Calculate prob of picking 2 g and 1 q when three letters picked without replacement from qqgqgqg. 12/35 Three letters picked without replacement from {q: 5, x: 14}. Give prob of picking 3 q. 10/969 Calculate prob of picking 1 b and 1 o when two letters picked without replacement from rbbonnyyyooobynhyy. 4/51 Calculate prob of picking 1 s and 2 w when three letters picked without replacement from {q: 2, w: 5, s: 8}. 16/91 Calculate prob of picking 1 x and 1 h when two letters picked without replacement from xxhxq. 3/10 Two letters picked without replacement from nenmmyaajeaem. Give prob of picking 2 n. 1/78 Two letters picked without replacement from yfzmz. What is prob of picking 1 y and 1 f? 1/10 Calculate prob of picking 1 t, 2 l, and 1 n when four letters picked without replacement from ltnlttnllnlnllllll. 11/51 What is prob of picking 1 i and 1 r when two letters picked without replacement from {i: 1, r: 1, n: 1}? 1/3 Two letters picked without replacement from zizzhzdezhzzhzhiihh. Give prob of picking 1 i and 1 d. 1/57 Three letters picked without replacement from {z: 6}. What is prob of picking 3 z? 1 Four letters picked without replacement from {u: 8, a: 4, g: 4}. What is prob of picking 1 g and 3 u? 8/65 What is prob of picking 2 v and 1 k when three letters picked without replacement from {k: 7, p: 2, v: 2, d: 8}? 7/969 Calculate prob of picking 2 l when two letters picked without replacement from bkll. 1/6 What is prob of picking 1 d, 1 l, and 1 u when three letters picked without replacement from {l: 4, d: 1, m: 4, u: 2, t: 6, q: 2}? 8/969 Four letters picked without replacement from wxxjwjxjjx. What is prob of picking 1 x and 3 j? 8/105 Four letters picked without replacement from {i: 1, h: 2, b: 1, a: 3, o: 4}. Give prob of picking 1 o, 1 b, 1 h, and 1 a. 4/55 Calculate prob of picking 3 z when three letters picked without replacement from {z: 6}. 1 Two letters picked without replacement from jmijmjjjjmvvm. What is prob of picking 1 m and 1 j? 4/13 What is prob of picking 2 w when two letters picked without replacement from {n: 6, w: 2}? 1/28 What is prob of picking 1 h, 1 k, and 2 u when four letters picked without replacement from {b: 4, k: 2, h: 1, u: 5, w: 2}? 20/1001 Two letters picked without replacement from {q: 1, j: 1, a: 1, d: 4, i: 1}. Give prob of picking 1 d and 1 q. 1/7 Two letters picked without replacement from mmymmfmmmmm. What is prob of picking 1 m and 1 y? 9/55 Four letters picked without replacement from {c: 3, n: 10, s: 2, h: 2, g: 2}. Give prob of picking 1 c, 1 g, and 2 h. 1/646 Two letters picked without replacement from xjjprxmjbjxj. What is prob of picking 1 x and 1 p? 1/22 Four letters picked without replacement from {b: 1, s: 7, l: 5}. What is prob of picking 1 s and 3 l? 14/143 What is prob of picking 2 b when two letters picked without replacement from {b: 1, r: 18}? 0 What is prob of picking 1 o and 3 w when four letters picked without replacement from {o: 15, w: 5}? 10/323 What is prob of picking 3 l and 1 b when four letters picked without replacement from {z: 7, l: 3, b: 2}? 2/495 Three letters picked without replacement from yyivyayyy. Give prob of picking 1 a, 1 y, and 1 i. 1/14 Calculate prob of picking 3 x when three letters picked without replacement from {s: 3, x: 5}. 5/28 What is prob of picking 2 k when two letters picked without replacement from aahyakckac? 1/45 Four letters picked without replacement from bwwwbwwwbbwwwbbb. What is prob of picking 2 w and 2 b? 27/65 What is prob of picking 3 k and 1 q when four letters picked without replacement from {k: 7, q: 1}? 1/2 What is prob of picking 1 p and 1 h when two letters picked without replacement from {h: 11, p: 2}? 11/39 What is prob of picking 1 v and 1 n when two letters picked without replacement from vvvvvxvvvnvvv? 11/78 What is prob of picking 2 d and 1 s when three letters picked without replacement from ldslddsdssddslsss? 3/17 Two letters picked without replacement from {r: 7, k: 3, u: 2}. What is prob of picking 2 u? 1/66 Four letters picked without replacement from {v: 1, p: 1, s: 1, l: 1, e: 1}. What is prob of picking 3 s and 1 l? 0 Two letters picked without replacement from srtsszzcs. What is prob of picking 1 t and 1 r? 1/36 Three letters picked without replacement from lwwzlz. What is prob of picking 2 w and 1 z? 1/10 What is prob of picking 1 b and 1 x when two letters picked without replacement from {b: 2, m: 5, o: 1, z: 2, r: 2, x: 1}? 1/39 Two letters picked without replacement from cybbyylbymbbbcc. Give prob of picking 2 b. 1/7 What is prob of picking 2 s and 2 a when four letters picked without replacement from {s: 1, n: 1, c: 2, a: 10}? 0 Calculate prob of picking 1 g, 1 q, and 2 k when four letters picked without replacement from {c: 6, w: 1, k: 2, q: 2, g: 1}. 2/495 What is prob of picking 1 b and 1 f when two letters picked without replacement from ifbiiibibbbbii? 6/91 What is prob of picking 2 d, 1 n, and 1 q when four letters picked without replacement from {d: 2, q: 2, j: 6, n: 1}? 1/165 Two letters picked without replacement from {x: 6, u: 12}. Give prob of picking 2 u. 22/51 Two letters picked without replacement from mnapaapqvaampmm. Give prob of picking 1 m and 1 n. 4/105 Calculate prob of picking 3 c when three letters picked without replacement from crcrcccrcrccccrcccc. 364/969 Calculate prob of picking 1 h and 2 o when three letters picked without replacement from hahoi. 0 Calculate prob of picking 1 x and 1 q when two letters picked without replacement from {x: 2, q: 5}. 10/21 What is prob of picking 2 h, 1 i, and 1 c when four letters picked without replacement from {h: 9, i: 1, c: 2, x: 2}? 72/1001 Three letters picked without replacement from {a: 8, u: 8, d: 4}. Give prob of picking 3 d. 1/285 Calculate prob of picking 1 a and 3 r when four letters picked without replacement from rrarrrrara. 1/2 Two letters picked without replacement from {r: 3, q: 15}. What is prob of picking 1 r and 1 q? 5/17 Two letters picked without replacement from bcmmmebssmlblss. Give prob of picking 1 s and 1 b. 4/35 Three letters picked without replacement from {k: 3, h: 2, x: 10}. Give prob of picking 3 k. 1/455 Three letters picked without replacement from zggzzzzgggzz. Give prob of picking 2 z and 1 g. 21/44 Four letters picked without replacement from {p: 1, o: 2, g: 2, n: 1, f: 2, w: 1}. What is prob of picking 2 o, 1 p, and 1 f? 1/63 What is prob of picking 3 v when three letters picked without replacement from vcyzypyuvvyzpypyz? 1/680 Two letters picked without replacement from pipapipaipa. What is prob of picking 2 p? 2/11 What is prob of picking 1 q and 1 t when two letters picked without replacement from {q: 1, m: 4, a: 1, t: 2, g: 2}? 2/45 Calculate prob of picking 1 v and 1 s when two letters picked without replacement from tttoosovtls. 2/55 Two letters picked without replacement from {u: 1, c: 2, n: 1, o: 2, v: 1, b: 11}. Give prob of picking 1 b and 1 u. 11/153 Three letters picked without replacement from iqrrirr. Give prob of picking 1 q, 1 r, and 1 i. 8/35 Calculate prob of picking 1 f and 1 r when two letters picked without replacement from rrrffrcrrfcffr. 5/13 Two letters picked without replacement from {w: 6, t: 6, f: 7}. What is prob of picking 1 w and 1 f? 14/57 Three letters picked without replacement from hihhiwvwhhh. Give prob of picking 1 i, 1 h, and 1 w. 8/55 What is prob of picking 4 a when four letters picked without replacement from {t: 1, q: 1, f: 4, y: 3, z: 1, a: 4}? 1/1001 Two letters picked without replacement from {l: 3, a: 11, i: 5, x: 1}. Give prob of picking 1 l and 1 x. 3/190 Three letters picked without replacement from iitiititiztttstsi. What is prob of picking 1 t, 1 i, and 1 z? 49/680 Three letters picked without replacement from {h: 3, w: 3}. What is prob of picking 2 w and 1 h? 9/20 Two letters picked without replacement from jocpcjcoojodol. What is prob of picking 1 o and 1 p? 5/91 Calculate prob of picking 1 a, 1 f, and 2 w when four letters picked without re
{ "pile_set_name": "DM Mathematics" }
1453/35) Simplify a*a*a**(-8)/a*a**9*(((a/(a**7*a)*a)/a)/a*a)/a*a/(a/(a**(-12)*a)) assuming a is positive. a**(-17) Simplify (s**(12/5)/s**(-21))/(s/(s**(2/3)*s))**(-40) assuming s is positive. s**(-49/15) Simplify (d**(-8/3))**(3/13)/(d**12/d)**(-34) assuming d is positive. d**(4854/13) Simplify u*u**(-5/2)*u*u*((u*u**(-3/10))/u)/u*u*(u**(-10)*u)**(-10/9) assuming u is positive. u**(51/5) Simplify ((l/l**6)/(l**(6/11)/l*l))/((((l/((l/(l/(l*l**(6/7)*l*l*l))*l)/l))/l*l)/l)/l*l**5) assuming l is positive. l**(-361/77) Simplify (z*z**(1/2))**40/((z**(23/3)/z)/(z*z*z**25*z*z*z)) assuming z is positive. z**(250/3) Simplify (((s*(s*(s**(-3/4)*s*s)/s)/s)/s)/s*s)**(-2/11)/((s*((s**(2/27)/s)/s)/s)/(s/s**(2/15))) assuming s is positive. s**(8159/2970) Simplify (r*r*r**(-9))**(-5/2)/(r**(-7)/r)**(1/8) assuming r is positive. r**(37/2) Simplify n*n**(3/11)*n/((n/(n*n/(n*n**(-1/5)/n*n*n*n)*n))/n)*(n**(-2/9))**(-10/11) assuming n is positive. n**(1324/495) Simplify (h**(1/3)/h*h)**(4/35)/(h/h**2)**(2/99) assuming h is positive. h**(202/3465) Simplify ((k/(k/(k**(3/4)/k))*k)/(k*k/k**(2/113)))/((k/(k**(2/85)/k)*k)/k*k*k**(1/3)/k*k) assuming k is positive. k**(-523523/115260) Simplify (y**(4/7)/y)/y*y**(1/19)*y*y**(4/11)/y**12 assuming y is positive. y**(-17574/1463) Simplify ((d**9/(d*d**4*d*d))**(3/13))**(2/23) assuming d is positive. d**(12/299) Simplify ((g/(g*g**(-2)))/g)**(-1/37)*g**(-2)/(g**(-8)*g) assuming g is positive. g**(184/37) Simplify (f**(-14))**32*f/(f*f*f**(-3/4)/f*f*f)*(f**(8/7)/f*f*f*f)/f assuming f is positive. f**(-12519/28) Simplify (g/((g/(g/g**(1/24)))/g)*g**19/g)/(g**20*(g**(-3)/g)/g) assuming g is positive. g**(119/24) Simplify (q/(q/(q*(q**(1/5)/q)/q)))/q*q**(-16)/q*q*((q*q**(-1))/q)**(3/17) assuming q is positive. q**(-1528/85) Simplify ((d**(-2/11)/(((d/(d/(d/(d*d/d**(2/7)))))/d*d)/d))**(-30))**8 assuming d is positive. d**(-28320/77) Simplify (l/l**(-1/6))**32/((l*l/(l/(l/(l/l**0)))*l)/l*l**(-3/2)) assuming l is positive. l**(227/6) Simplify n**(-2/5)*n**(2/11)/n*(n*n**(-2))**(-6/5) assuming n is positive. n**(-1/55) Simplify (b**(-32)*b*(b*b**20)/b)/((b*b/b**(-11/2)*b)/(b/((b/(b/((b**1/b)/b)))/b*b*b)*b)) assuming b is positive. b**(-35/2) Simplify (t**10*t)/(t**5*t)*(t**1)**40 assuming t is positive. t**45 Simplify (v**(-8))**(-7)/((v**(-10/9)*v)/((v/(v*v**22*v))/v*v)) assuming v is positive. v**(298/9) Simplify (v*(v**20*v)/v*v**(-6/17))**42 assuming v is positive. v**(14742/17) Simplify (t*(t/(t**(2/5)*t))/t)**(-13/2)*t/(t*(t/(((t*t**12*t)/t*t)/t))/t)*t/(t/t**(-4))*t assuming t is positive. t**(63/5) Simplify (z*z*z**1)**(-14)*z/(z**(-1)/z*z)*z*z**(4/9) assuming z is positive. z**(-347/9) Simplify p/(p**(-4/15)*p)*p/p**(4/3)*p**(-7)/(p/(p**(1/25)*p)) assuming p is positive. p**(-527/75) Simplify (k/((k*k**(3/4))/k))**(32/5)/(k**(3/2)*k*k*k/((k/(k/(k**(-1/6)*k)))/k)) assuming k is positive. k**(-46/15) Simplify ((q**0/q)/(q**(-12)/q*q))/((q/q**(-27)*q)/(((q/(q/q**(13/5)))/q)/q)) assuming q is positive. q**(-87/5) Simplify (t*t**(-4/7))**8*(t*t**(-3/4)/t)**(-3) assuming t is positive. t**(159/28) Simplify ((d*d**(-1/4))/d)**(3/10)/(((d*d**(-7)*d)/d*d)/d*d**(1/18)) assuming d is positive. d**(2113/360) Simplify ((b**(-8))**21)**11 assuming b is positive. b**(-1848) Simplify (b**17)**(-1/14)/((b*b**(-15)*b)/(b/(b**(4/5)*b))) assuming b is positive. b**(769/70) Simplify (((j**1)**49)**(-2/29))**(-10) assuming j is positive. j**(980/29) Simplify (x**(-11/6)*x**(-7/4))/(x*x*x**2)**14 assuming x is positive. x**(-715/12) Simplify ((x**3*x*x)/x)**24*(x/(x**(-6)/x))/((x*x/x**(-2/21))/x*x) assuming x is positive. x**(2140/21) Simplify (m**(-1)*m*m**(2/15))/(m*m*m*m*m**15*m*m*m/m**(-1/17)) assuming m is positive. m**(-5591/255) Simplify ((q/(q*q**(-2/9)))/q*q*q*q*q**5*(q**(2/5))**(-36))**(-11/7) assuming q is positive. q**(3553/315) Simplify (p*p**(-1/3)/p*p)**(-33)/(((p/(p*p**(-2/13)*p*p))/p)/p**(-8/7)) assuming p is positive. p**(-1847/91) Simplify ((g**(2/5)/g)/g**8)/((g*((g/g**(6/7))/g)/g)/(g/(g*g**10*g*g*g*g))) assuming g is positive. g**(-761/35) Simplify (c*(c**9/c)/c)**(5/17)/((c*c*c*c**0)/c**(-17)) assuming c is positive. c**(-300/17) Simplify (a/(a/(a/a**(2/9))*a))**(-3/10)*a**(-24)/((a/a**(-3/5)*a)/a) assuming a is positive. a**(-383/15) Simplify (k**(-7)/k**14)**(7/4) assuming k is positive. k**(-147/4) Simplify (s*s**(4/3)*s*s/s**(6/7)*(s**(-1/3))**(8/3))**8 assuming s is positive. s**(1304/63) Simplify (k**(-4/7)/k)**27*(k**3/k)**(-12/5) assuming k is positive. k**(-1653/35) Simplify (f**(-12))**13/(f**19)**(-4/11) assuming f is positive. f**(-1640/11) Simplify (((f/(f/(f/f**(-1/4))))/f)**(-26)/((f*f**(-7))/(f*f/f**(-2/7)*f)))**(-18/7) assuming f is positive. f**(-351/49) Simplify (((v*v**(-3/8))/v)/v*v/(v/(v**11/v)*v))/(((v**(4/5)/v)/v)/v)**(7/2) assuming v is positive. v**(613/40) Simplify ((o/((o/(o*o/(o*o*(o**32/o)/o)))/o*o*o))/(o/((o/(o/o**(-3/4)))/o)))/(o**(-16))**(3/4) assuming o is positive. o**(-87/4) Simplify m**(2/75)*m**(1/5)*(m**(-3/7)/m)/(m*m**(-34)) assuming m is positive. m**(16694/525) Simplify ((w*w**(-24)*w)**17)**(-5/6) assuming w is positive. w**(935/3) Simplify h*h/(((h**9/h)/h)/h)*h*h*h**(-16/3)*(h**(3/22)/h)/(h**(2/5)*h) assuming h is positive. h**(-3167/330) Simplify (b**4/((b/(b**(-1/7)/b))/b))**(-6/13) assuming b is positive. b**(-120/91) Simplify (h**1)**(3/5)/(((h*h**6*h*h)/h)/(h/(h**(-3)*h))) assuming h is positive. h**(-22/5) Simplify ((z*z**(-1/5)*(z*z**(-8))/z)**(1/46))**(4/5) assuming z is positive. z**(-72/575) Simplify b**18/(b*(b*b*(b*b/(b/(b*b**(-1/13))))/b*b)/b*b)*b*b**(4/5)*b/(b/(b*b**(-1)*b*b)) assuming b is positive. b**(1097/65) Simplify d/(d/(d/(d*d**13)))*d*d**(-2/11)*(d*(d*d*(d*d**(-2/5)*d)/d)/d*d)/(d*(d/d**11)/d) assuming d is positive. d**(78/55) Simplify ((f*f**8/f)/(f/(f*f*f/(f*f**(1/7)*f*f))))/(f**7)**(-19) assuming f is positive. f**(979/7) Simplify ((t**8*t**6)**(-33))**(14/11) assuming t is positive. t**(-588) Simplify (((s/(s**(3/16)/s))/s*s)/s*s/(s*((s*s/(s**(-4/7)*s))/s)/s))/(s**(-2/9))**(-36) assuming s is positive. s**(-757/112) Simplify ((u*(u*u/((u**(-1/14)/u)/u))/u)/u**(-19))/(u**8)**7 assuming u is positive. u**(-461/14) Simplify l**(-12/11)/l**13*l**(-27)/l**(-2) assuming l is positive. l**(-430/11) Simplify ((b*b**(-26)*b)/((b**(-10/11)/b)/b))**15 assuming b is positive. b**(-3480/11) Simplify (t*t**(-2/23)*t*t/t**(-3))/(t/t**(3/4))**(-1/6) assuming t is positive. t**(3287/552) Simplify j**(-1)*j**1*j**(2/5)/j*j*j**(-4/11) assuming j is positive. j**(2/55) Simplify (c**(8/7)/c*c*c*c*c**(-9))/(c**(-3/7))**5 assuming c is positive. c**(-26/7) Simplify d/((d**(-2/21)/d)/d)*d**(-11)*(d*d*d**(-1/14))/d**12 assuming d is positive. d**(-755/42) Simplify (n**(-1/10))**28/(n**(3/13)/(n/(n**(-8/11)*n))) assuming n is positive. n**(-1647/715) Simplify (k**(-1)/k)/((k/(k*k/k**(-9/5)*k)*k)/k)*k**(12/7)/(k/(k*k**13*k)) assuming k is positive. k**(613/35) Simplify (x/x**(1/21)*x/(x**22*x))/((x*(x/x**(-16))/x*x)/x**(-2/25)) assuming x is positive. x**(-20542/525) Simplify (((q/q**(2/3))**9)**(-1/18))**(-49) assuming q is positive. q**(49/6) Simplify (h*h/(h**(-1)/h))**39/((h*h**(-3/11)*h)/(h**(-2/19)/h*h)) assuming h is positive. h**(32221/209) Simplify (u**(-4/7)*u**11)/(u**(2/5)/(u/u**(-1/5))) assuming u is positive. u**(393/35) Simplify (((d**(-2/7))**(-4/11))**(-26))**(2/5) assuming d is positive. d**(-416/385) Simplify (((x*x**9*x)/(x/(x*x/(x*x/x**8*x))))/(x**(-11)*x*x**12))**17 assuming x is positive. x**255 Simplify (m/((m**39/m)/m)*m*m*m/(m*m/m**(1/29)*m)*m*m)**(-36) assuming m is positive. m**(35460/29) Simplify ((q**(-5)/(q**(-1/4)/q))/((q**(-9/7)/q)/(q*q/(q*((q*q*q**12/q)/q)/q)*q)))**23 assuming q is positive. q**(-6739/28) Simplify (t*t/(t*t**5*t)*t/t**(-24))/(t*t*t/(((t/(t*t/(t**15*t*t*t*t*t)))/t)/t)*t*t*t**21) assuming t is positive. t**11 Simplify ((s/(s**(-2/9)*s)*s)**(-18)/(s*(s*s**(1/3)*s)/s)**24)**34 assuming s is positive. s**(-2652) Simplify (((q/q**5)/(q*((q/q**(-6))/q)/q))/(q**(1/2))**(3/7))**(-21) assuming q is positive. q**(429/2) Simplify (l**(1/8)*l*l*l)**50/(l*l*l*l**(2/13)*l*l*l**13*l) assuming l is positive. l**(7129/52) Simplify ((k**(-1/12))**(-12))**(-1/27) assuming k is positive. k**(-1/27) Simplify c**(-31)/c**(-2/5)*(c*c**(2/75))/((c*c/
{ "pile_set_name": "DM Mathematics" }
ative of -a**2*g**2*o + 17*a**2*g**2 - 20*a**2*o**2 - a*g**2*o**2 + 3*g**2*o + 10*g*o**2 + 2*g*o wrt o? -40*a**2 - 2*a*g**2 + 20*g What is the third derivative of 6*t**5 + 77*t**4 - 394*t**2? 360*t**2 + 1848*t Find the second derivative of -26*u**3*w*y**2 - 11*u**3*y - 3*u*w*y + 2*u*y**2 - 3*u + 2*w*y**2 wrt u. -156*u*w*y**2 - 66*u*y What is the second derivative of 3364*z**2 + 4014*z? 6728 Find the second derivative of -9*v**4 + v**3 + 800*v wrt v. -108*v**2 + 6*v Find the second derivative of p**5 - 67*p**3 + 41*p. 20*p**3 - 402*p What is the second derivative of -73*y**2*z**3 - 4*y*z - 7*z**3 wrt y? -146*z**3 Differentiate -6316*n**3 - 402 with respect to n. -18948*n**2 What is the third derivative of -7263*h**4 - 868*h**2 wrt h? -174312*h What is the second derivative of -879*w**4 + 2*w**3 + 2*w + 563? -10548*w**2 + 12*w What is the third derivative of d*o**3*y**3 - 4*d*o**3*y**2 - 2*d*o**2*y**3 - d*o*y**2 - 6*d*y**2 - 12*o**3*y**3 wrt y? 6*d*o**3 - 12*d*o**2 - 72*o**3 Find the third derivative of -88*l**4 - 67*l**2. -2112*l Differentiate 444*m**2 + 22 wrt m. 888*m What is the first derivative of -b*r*y**2 - 21*b*r*y + 105*b*r - b - 4*y**2 wrt y? -2*b*r*y - 21*b*r - 8*y Find the first derivative of -1731*x**4 - 1894. -6924*x**3 Find the third derivative of -364*g**4 - 155*g**2. -8736*g Find the second derivative of -3*a**3*r**3 - 2*a**3 + 2*a**2*r**3 - 55*a*r wrt r. -18*a**3*r + 12*a**2*r What is the first derivative of -164*b*k - 3*b + 11*k + 5 wrt b? -164*k - 3 Differentiate -1466*g**4*k - g**2*k + 253*k - 2 wrt g. -5864*g**3*k - 2*g*k Differentiate -916*m - 1226. -916 Find the third derivative of -41*o**6 - 3*o**4 - 183*o**2 wrt o. -4920*o**3 - 72*o What is the first derivative of -2*g*p*z**2 - g*z - 152*p**2*z**3 + p**2*z + 87*z**3 wrt p? -2*g*z**2 - 304*p*z**3 + 2*p*z What is the second derivative of -545*k**4 + 97*k - 2? -6540*k**2 What is the second derivative of 130*j**2 - j - 553 wrt j? 260 Find the third derivative of 504*g**3*l - 17*g**2*l - 4*l wrt g. 3024*l Find the third derivative of -354*c**4 - 223*c**2 wrt c. -8496*c What is the third derivative of 2*a**3*n**4 + 2*a**3 - 2*a**2*n + 3485*a*n**2 - 1887*n**4 wrt n? 48*a**3*n - 45288*n Differentiate g**2 + 5971*g - 6029 with respect to g. 2*g + 5971 What is the first derivative of -24*g**3*w**2 + g**3*w + 9*g*w + 204*w**2 wrt g? -72*g**2*w**2 + 3*g**2*w + 9*w What is the second derivative of -382*j**3 - 443*j? -2292*j Find the third derivative of 490*g**2*j**3 - g**2*j**2 + g*j**4 - 3327*g*j**2 + j**4 + 2 wrt j. 2940*g**2 + 24*g*j + 24*j What is the second derivative of 28*f*z**2 - 288*f - 3*z**2 - 3*z wrt z? 56*f - 6 What is the second derivative of 38*k*p**3*t - 2*k*p**2*t - 2*k*p*t + 2*k*t - 4*k + p**3*t - p**2 + 34*p*t wrt p? 228*k*p*t - 4*k*t + 6*p*t - 2 What is the second derivative of -32*b**3*d**3 + 2*b**2*d**3 - 5*b**2*d + b*d**3 + 2*b*d**2 + 121*d**2 wrt b? -192*b*d**3 + 4*d**3 - 10*d What is the third derivative of 307*j**3 + 14*j**2 wrt j? 1842 Find the second derivative of -78*d**4*o**2 - 3*d + 11*o**2 - o wrt d. -936*d**2*o**2 What is the third derivative of -q**6 + 230*q**3 - 3379*q**2? -120*q**3 + 1380 Differentiate -24*i*y**2 + 56*i + 6*y**2 + 2 wrt y. -48*i*y + 12*y Differentiate 12*q*z**2 + 3*q*z + 164*z**2 wrt q. 12*z**2 + 3*z What is the third derivative of 4*i**3 - 2301*i**2? 24 Find the third derivative of 27*i**4 - 67*i**3 - 3*i**2 + 6*i - 9. 648*i - 402 What is the second derivative of 2*w**4 + 428*w**2 + 4410*w? 24*w**2 + 856 What is the derivative of 2*b*i + 252*b*z + b + 4*i*z + 571*i - 1 wrt z? 252*b + 4*i Differentiate -8807*z - 8713 wrt z. -8807 What is the second derivative of 50*q**3*z + 2*q*z - 309*z wrt q? 300*q*z What is the second derivative of 15*d**3*j**2*t**3 + 75*d**3*j**2 + d*j**2*t**3 + 3*d*j**2*t + 280*j**2 wrt d? 90*d*j**2*t**3 + 450*d*j**2 What is the first derivative of 3*s**2*y**2 + 24*s**2 - 31*y**2 wrt s? 6*s*y**2 + 48*s Differentiate 5369*c**3 + 2*c - 15377 wrt c. 16107*c**2 + 2 Find the third derivative of -31*b**6 + b**4 - 209*b**2 + 2*b wrt b. -3720*b**3 + 24*b What is the second derivative of j**2*l + 4*j**2*r - 5*j**2 + 2*j*l + 2*j*r - 18*l*r wrt j? 2*l + 8*r - 10 Find the second derivative of -104*w**4 + 192*w. -1248*w**2 Differentiate -i**4 + 2102*i**2 - 12013 wrt i. -4*i**3 + 4204*i Find the third derivative of 48*j**6 - 8*j**3 - 9090*j**2 wrt j. 5760*j**3 - 48 Differentiate -903*d**4 + 1811 wrt d. -3612*d**3 What is the second derivative of -2*c**5 + 185*c**4 + 9956*c wrt c? -40*c**3 + 2220*c**2 What is the third derivative of -25*o**4 - 5*o**3 + 209*o**2 wrt o? -600*o - 30 What is the derivative of -41*a**2*m - a**2 + m + 100 wrt a? -82*a*m - 2*a Find the second derivative of -176*b**4*x**2 + b**4 + 2*b*x - 3*b - 12*x**2 wrt b. -2112*b**2*x**2 + 12*b**2 Find the third derivative of -2*b**2*o**4 - 8847*b**2*o**2 - 2*b**2 - 195*b*o**4 wrt o. -48*b**2*o - 4680*b*o What is the second derivative of 16*f**3*h**2*n - f**3*h**2 - f**3*n + 29*f*h + f*n - 3*h**2*n - 3 wrt f? 96*f*h**2*n - 6*f*h**2 - 6*f*n What is the second derivative of 5*c**3*s**2*y**2 - 230*c**3*s**2 + c**3*s*y**2 + 11*c**3*s*y + 3*c**3*y**2 wrt s? 10*c**3*y**2 - 460*c**3 Differentiate -471*x**2 - 2*x - 19183 wrt x. -942*x - 2 Differentiate 383*g*p**3 + 2*g*p**2 + 826*g - 2*p**2 wrt p. 1149*g*p**2 + 4*g*p - 4*p What is the third derivative of -768*p**3*w**3 + 38*p**2*w**3 - 7*p**2*w**2 wrt p? -4608*w**3 Find the third derivative of 146*f**3*r**3 + f**3*r**2*y**2 + 5*f**2*r*y - f*r*y**2 + 2*f*y - 13*r**3*y**2 wrt f. 876*r**3 + 6*r**2*y**2 Differentiate -2*g**2*p**2 + 455*g**2 + 585*g*p**2 with respect to p. -4*g**2*p + 1170*g*p Find the first derivative of 3*c*w*x + 40*c*x + 12*c + 16*w**4 wrt w. 3*c*x + 64*w**3 Find the first derivative of 2*g**3*m + 2021*g**3 - 376*g**2*m**2 wrt m. 2*g**3 - 752*g**2*m What is the second derivative of -3070*p**2*q**2 - 2321*p**2*q - 2*p**2 + 2*q wrt q? -6140*p**2 Differentiate h**2*t + 505*h**2 - 348*t with respect to h. 2*h*t + 1010*h Find the third derivative of 41*c**2*h**3 + c**2*h**2 + 2*c*h**4 - 2*c*h**3 + 84*c*h**2 wrt h. 246*c**2 + 48*c*h - 12*c Find the second derivative of -364*g**2 - 578*g + 2 wrt g. -728 Find the third derivative of 8602*m**6 + 7544*m**2. 1032240*m**3 Find the second derivative of 56*d**2*k**2*m**2 - 3*d**2*k*m**2 - 4*d**2*k + 20*d**2 + 2*k**2*m**2 wrt k. 112*d**2*m**2 + 4*m**2 Find the second derivative of -3*m**2*t**2*u + 367*m**2*t**2 + 12*m**2*t*u - 18*m**2*t + t**2*u - 3*t*u wrt t. -6*m**2*u + 734*m**2 + 2*u What is the derivative of 6*h*m + 81*h*n + 7*m*n**2 + n**2 wrt m? 6*h + 7*n**2 Find the third derivative of -2059*v**3 - 3*v**2 - 483 wrt v. -12354 Differentiate 4*c**2*f*q*s + 2*c**2*f*s - 2*c**2 + 5*c*f*q - c*f*s - s with respect to q. 4*c**2*f*s + 5*c*f Find the third derivative of -4*n**4 - 92*n**3*w**3 - 5*n**2*w + 163*w**3 wrt n. -96*n - 552*w**3 What is the third derivative of -447*s**6 + 17*s**2 + 3*s? -53640*s**3 Find the first derivative of -6*r**3*z + 127*r**3 - 67*z**2 wrt z. -6*r**3 - 134*z What is the first derivative of 9591*a**2*t**2 + 5*t**2 - 866*t wrt a? 19182*a*t**2 Find the second derivative of -833*u**2 + 26*u. -1666 Find the third derivative of 64*i**5 - 246*i**2 wrt i. 3840*i**2 What is the first derivative of 41*j**3*r + 3041*j**3 + 14*j*r**2 wrt r? 41*j**3 + 28*j*r Find the third derivative of 29*u**3 + 152*u**2. 174 Differentiate -16*a**2 + a + 38 wrt a. -32*a + 1 What is the third derivative of -12820*w**3 - 11*w**2 - 9*w + 1 wrt w? -76920 Find the third derivative of -96*g**3 + 131*g**2 wrt g. -576 What is the third derivative of b*q*x**3 - 5*b*x**3 + b*x**2 - b + 22*q - 16*x**3 wrt x? 6*b*q - 30*b - 96 What is the third derivative of 55*y**4 - y**2 + 26*y? 1320*y What is the second derivative of -3124*o**3 - 5267*o wrt o? -18744*o What is the second derivative of 24*j**4*t**2 + 4*j**2*t**2 + 711*j*t**2 - j wrt j? 288*j**2*t**2 + 8*t**2 What is the derivative of -167*y - 42? -167 What is the second derivative of 13*c**3*h**2 + 40*c**3*h - 3*c**3 - 41*c**2*h**3 - c**2*h wrt h? 26*c**3 - 246*c**2*h Find the second derivative of -2316*z**2 + 1365*z. -4632 What is the first derivative of 159*w + 13 wrt w? 159 What is the first derivative of -55*l*z - 3*l -
{ "pile_set_name": "DM Mathematics" }
2*x. Let s(g) = -g**2 + 5. Let i be s(x). Suppose -p + i*p - 52 = -q, -2*p + 44 = 5*q. Is p a multiple of 5? False Suppose -75 = 8*k - 3*k. Let b be (k/10)/((-1)/2). Suppose -48 = -3*a + b*p, -2*a + 27 = -p + 4*p. Is a a multiple of 15? True Let l(s) = -5*s + 4. Let o be l(-8). Does 16 divide (-1 + 2 - 4) + o? False Let a = 18 - 9. Is 13 a factor of (a/(-6))/((-3)/108)? False Let d = 393 + -276. Is 39 a factor of d? True Suppose -3*w + 18 = -0*w. Suppose m + 75 = w*m. Does 10 divide m? False Let z = 21 + -7. Does 13 divide z? False Let o(g) = 13*g**2 + 2*g - 1. Let u be o(1). Let l = -25 + 26. Suppose -l + u = y. Does 13 divide y? True Suppose -m + 117 = -3*t, t = -3*m + 510 - 139. Does 41 divide m? True Let n(d) = 2*d**2 - 26*d + 8. Is n(15) a multiple of 34? True Suppose 5*w + 2*y - 9 = 0, -4*w + 2*y = w - 21. Suppose -4*n - i + 129 = 2*i, w*n - 5*i - 133 = 0. Is 12 a factor of n? True Suppose -2*k + 5*k - 225 = 0. Let x = k + -18. Is 19 a factor of x? True Let y = -91 + 157. Is 11 a factor of y? True Suppose g = -2*u + 2 + 2, -3*g = 5*u - 12. Suppose u*o + 132 = -4*o. Does 16 divide 4 + -5 - 1*o? True Let w(p) = p. Let s be w(6). Let r be 11/2 - (-3)/s. Suppose 4*j - r - 10 = 0. Is j even? True Let l be 3 + 3*(-6)/(-9). Suppose 0 = 5*s - 4*n - 83, -l*s - 2*n + 4*n = -79. Does 7 divide s? False Let d(p) = p**3 - 6*p**2 - 6*p - 5. Let i be d(7). Suppose i*j - 52 = -0*j. Is 13 a factor of j? True Suppose -5*r - 3 = 2*s - 0*r, -r = s. Suppose -5 = -3*x - a - 2, 15 = -5*a. Does 8 divide x*s*(-11)/(-2)? False Let s be 2/4 - (-20)/8. Suppose 13 = m - b - 13, 0 = -5*m - s*b + 146. Does 19 divide m? False Let x(f) = f**3 - 4*f - 2. Is x(4) a multiple of 16? False Let h = 10 - 9. Is 3/h + 11 + -4 a multiple of 6? False Suppose 5*g = -d - 2*d + 102, 51 = d - 4*g. Does 13 divide d? True Suppose 4*k = 3*q - 0*k - 157, 0 = 4*q + k - 241. Is 30 a factor of q? False Suppose 2 + 3 = -5*h. Let v be (-7)/(h + 8/10). Let n = 54 - v. Is n a multiple of 10? False Let p(g) = -g**3 + 7*g**2 - 3*g - 3. Let o be p(6). Let x be (0 + 6/o)*5. Suppose x*h - 8 = 22. Is 14 a factor of h? False Suppose -1 = -4*d + 3. Suppose 5*f - 3*w = -2*w - 14, d = -w. Is 4 a factor of 1*-8*f/6? True Let m = 6 + 28. Suppose 5*x + m = 119. Does 11 divide x? False Suppose 0 = 5*a - 5*w - 5, 0*a = 3*a + 3*w - 9. Suppose -a*o + 0*o = -54. Is 22 a factor of o? False Suppose -4*b = 3*o + o - 40, b + 5 = 2*o. Suppose 2*k + 10 = 5*x - 3*k, -b*k + 10 = 0. Suppose -5*n + 3*n = -2, -j - x*n = -30. Is 10 a factor of j? False Let h(n) = -n**2 - 2*n + 12. Let f be h(0). Let d = f - 6. Does 3 divide d? True Suppose -2*u + 23 + 81 = 0. Is u a multiple of 15? False Suppose -b - 2*b = 2*h - 111, 9 = -3*b. Does 15 divide h? True Let d = 5 + -2. Suppose d*b = -h + 3, -h - 2*b = -0*h - 8. Is 9 a factor of h? True Let y be (2*-1)/((-5)/40). Suppose 0*l = -l - 3*i + 36, y = 4*i. Is l a multiple of 4? True Let h(l) = l**3 - 2*l - 1. Let b be h(2). Suppose -1 = -b*d + 5. Suppose 5*p - 2*n - 73 = 0, -d*n + 61 = 5*p - n. Does 4 divide p? False Let c(n) = -4*n**2 - 16*n - 3. Let m(i) = i**2 + 5*i + 1. Let o(l) = -2*c(l) - 7*m(l). Let r be o(4). Does 5 divide r*5*(-4)/(-6)? True Suppose 0*s + 8 = 4*s. Suppose s*k + 2*k - 44 = 0. Is 4 a factor of k? False Let a = 111 - 60. Suppose 0 = -5*z - w + 49, 6*z - a = z + w. Is z a multiple of 10? True Suppose -69 = -2*o - 3. Does 15 divide o? False Let j(v) = -v**3 + 5*v**2 + 5*v + 2. Let z be j(6). Is 58/7 + z/14 a multiple of 8? True Suppose 5*g - 15 = 0, 0 = 4*i - 2*g - 166 - 36. Suppose i = a + a. Is a a multiple of 13? True Let w(o) be the first derivative of o**4/4 + o**3/3 + 55*o + 5. Does 11 divide w(0)? True Does 33 divide (98 - (-20)/4)*1? False Suppose 0 = 4*b - 4*g - 12, -b + 36 = b + 4*g. Let j be 2 + -5 + b*1. Suppose -3*a + 57 = a + j*u, -3 = -a + u. Is 5 a factor of a? False Suppose -7*v + 9*v = 6. Suppose -h + n = -15 - v, 2*h - 3*n = 39. Is 5 a factor of h? True Does 14 divide (36/(-3))/3 + 26? False Let m = 8 - -27. Let c = m - 25. Suppose p - c = 1. Is p a multiple of 11? True Let r(d) = -2*d**3 + 2*d + 2*d**3 - 3 + d**2 + 4*d**3 - 3*d**2. Let p be r(2). Suppose -152 = -3*c + 2*t, p + 43 = c - 5*t. Does 24 divide c? True Suppose 0 = -4*u - 0*u + 28. Let y be (u - 0)*6/(-6). Let c = y - -23. Does 7 divide c? False Suppose -3*v + 4*v = -4*s + 124, 4*s = -3*v + 364. Does 18 divide v? False Suppose -5*x + 6 = q - 20, 2*q = -5*x + 57. Suppose o - 74 = q. Does 26 divide o? False Let u be (1029/6)/(-7)*-2. Suppose n - u = z + 3*z, 5*n - z = 321. Is n a multiple of 20? False Let q(p) = -13*p - 7. Let o be q(-11). Let s = 196 - o. Is 26 a factor of s? False Suppose -4*o - o = -5*g + 85, 39 = 2*g - 3*o. Is (8/g)/(4/30) even? False Let z = -22 + 174. Is 19 a factor of z? True Let k(n) = n**2 - 8*n + 4. Let f be k(8). Suppose f*g = 2*z + 42, -g + 48 = 3*g + 4*z. Does 11 divide g? True Let z(q) = 2*q**3 - 2*q**2 + 2*q - 4. Let g be (-4)/18 + 58/18. Does 19 divide z(g)? True Suppose 2*m = k - 177, -2*k + 2*m = 5*m - 375. Let o = 275 - k. Suppose -4*g + o = -5*x, -g + x = 2*x - 14. Is g a multiple of 9? True Let m be (-12)/(-5) + 4/(-10). Let a be -6*(3 + -2)/(3/(-6)). Suppose 0*j = -m*j + a. Is 6 a factor of j? True Let j(u) = 2*u + 4. Let b be 122/14 + 10/35. Is 6 a factor of j(b)? False Let g(f) = 3*f - 8. Suppose -2*n - 40 = -6*n. Is g(n) a multiple of 11? True Let v = -13 + 92. Let w = v + 9. Does 18 divide w? False Let c(r) = -2*r + 427. Does 17 divide c(0)? False Suppose -2*m - 2*w - 12 = 0, 4*m - m + 4*w + 22 = 0. Let g be m/(-8) - 1281/(-12). Suppose 4*b - 114 = -3*x, b = -4*x + 45 + g. Does 13 divide x? False Is 15 a factor of ((-87)/(-6)*2)/1? False Let g be -2*(1 + (-10)/4). Suppose 3*k = -2*k. Does 11 divide 11/g*(3 + k)? True Let l be ((-9)/6)/(6/16). Let x = -3 + l. Let m = x - -11. Is 3 a factor of m? False Suppose k - 4*l - 39 = 0, -2*k = -l - 2*l - 98. Let w = k - 39. Is 11 a factor of w? False Let p(v) = -8*v + 5 - 6 - v - 1. Is p(-2) a multiple of 16? True Let y(q) = 2*q**2 - 6*q - 9. Let u(v) = 2*v**2 - 5*v - 8. Let d(f) = 7*u(f) - 6*y(f). Is 9 a factor of d(-3)? False Let w(k) = k**3 + 8*k**2 - 3*k + 5. Let l be w(-7). Suppose 6*n = 3*n - l. Let b = n - -41. Is b a multiple of 9? False Suppose -4*q = -5*h - 54, 3*q + 2*h - 56 = -2*h. Suppose 4*x - q = -4. Is x even? False Does 4 divide (-80)/(-3)*48/40? True Suppose -2*t - 70 = -w - t, 0 = 3*w + 5*t - 226. Is w a multiple of 12? True Let w(j) = 23*j**3 + j**2 - j + 1. Does 21 divide w(1)? False Suppose -2*f + 124 = 2*f. Is f a multiple of 9? False Suppose 527 = 5*l - 448. Is l a multiple of 25? False Let s = 420 + -247. Suppose -253 = -3*q + 2*h - 3*h, -2*q + s = 5*h. Suppose 2*l = 5*l - q. Does 24 divide l? False Suppose 4*f + l - 236 = -0*l, 5*f - 5*l - 320 = 0. Is f a multiple of 10? True Suppose 4*j - 6 - 2 = 0. Suppose 0 = -g - j*m + 33, 6*g - g = -m + 156. Does 13 divide g? False Let z(q) = q**2 + 5*q - 2. Let p be z(-5). Does 16 divide -3 + -70*1/p? True Suppose -3*m - y + 328 = 0, -544 = -5*m - 0*y + y. Is 14 a factor of m? False Let i = 41 - 21. Is i a multiple of 5? True Suppose -13 = -5*j + 47. Suppose 3*b - 48 = j. Does 15 divide b? False Let i(m) = -87*m + 5. Does 38 divide i(-3)? True Suppose 7 = -5*z + 32. Suppose -z*x + 2 = -138. Does 13 divide x? False Let t(r) = 5*r**2 + 4*r - 11. Let l(v) = -11*v**2 - 9*v + 23. Let a(f) = 4*l(f) + 9*t(f). Is a(7) a multiple of 11? False Suppose 0 = -4*o + 5*q - 7, 0 = -2*o - 2*q + 10 - 0. Suppose 0 = -4*n - s + 66, -o*s = 3*n - 0*n - 52. Is n a multiple of 16? True Let a = -49 - -59. Is a a multiple of 2? True Let b = 39 + 43. Is 5 a factor of b? False Let c(t) = -10*t. Let s be (10/8)/(1/4). Let a be ((-5)/s)/(1/3). Is c(a) a multiple of 13? False Suppose -4*a + 35 = 3*m, -5*m + 3*a + 3 = -7. Let b = m + 16. Does 5 divide b? False Let t(z) = -z**3 - 4*z**2 - 2*z + 2. Let m be t(-2). Does 12 divide (32/6)/(m/(-9))? True Let w = 43 + -20. Is 4 a factor of w? False Let p(n) = -n + 8. Let c be p(-6). Suppose 4*l + 6 = c. Suppose 13 + 31 = l*h. Is 22 a factor of h? True Suppose 3*r + 259 + 92 = 0. Let q = r + 192. Does 17 divide q? False Suppose -89 = -6*y + 271. Is 15 a factor of y? True Is (1 - 2)*-25 + 4 a multiple of 3? False Let s(r) be th
{ "pile_set_name": "DM Mathematics" }
sixth root of 2851781 to the nearest integer? 12 What is the fifth root of 1162217 to the nearest integer? 16 What is 9135095 to the power of 1/2, to the nearest integer? 3022 What is the cube root of 1245074 to the nearest integer? 108 What is 267621 to the power of 1/3, to the nearest integer? 64 What is 562402 to the power of 1/2, to the nearest integer? 750 What is 8608879 to the power of 1/8, to the nearest integer? 7 What is the square root of 633044 to the nearest integer? 796 What is 5858755 to the power of 1/4, to the nearest integer? 49 What is the cube root of 1955891 to the nearest integer? 125 What is the third root of 21078025 to the nearest integer? 276 What is 33227939 to the power of 1/10, to the nearest integer? 6 What is the fifth root of 1967061 to the nearest integer? 18 What is the seventh root of 340626 to the nearest integer? 6 What is 3207798 to the power of 1/5, to the nearest integer? 20 What is the tenth root of 4841100 to the nearest integer? 5 What is 258191 to the power of 1/2, to the nearest integer? 508 What is 9625249 to the power of 1/2, to the nearest integer? 3102 What is the eighth root of 40194 to the nearest integer? 4 What is the square root of 399820 to the nearest integer? 632 What is the third root of 2989985 to the nearest integer? 144 What is 1649230 to the power of 1/3, to the nearest integer? 118 What is 2502197 to the power of 1/9, to the nearest integer? 5 What is 2743600 to the power of 1/10, to the nearest integer? 4 What is 6757869 to the power of 1/2, to the nearest integer? 2600 What is 52782 to the power of 1/4, to the nearest integer? 15 What is 2930518 to the power of 1/2, to the nearest integer? 1712 What is 6407938 to the power of 1/5, to the nearest integer? 23 What is 3338330 to the power of 1/7, to the nearest integer? 9 What is 1227993 to the power of 1/2, to the nearest integer? 1108 What is 699897 to the power of 1/4, to the nearest integer? 29 What is 401795 to the power of 1/5, to the nearest integer? 13 What is the cube root of 32548677 to the nearest integer? 319 What is the square root of 937943 to the nearest integer? 968 What is 7681245 to the power of 1/3, to the nearest integer? 197 What is the square root of 24772020 to the nearest integer? 4977 What is 32801451 to the power of 1/2, to the nearest integer? 5727 What is the square root of 807337 to the nearest integer? 899 What is 22233568 to the power of 1/3, to the nearest integer? 281 What is 5563358 to the power of 1/2, to the nearest integer? 2359 What is 84790 to the power of 1/3, to the nearest integer? 44 What is the third root of 197519 to the nearest integer? 58 What is 8567101 to the power of 1/2, to the nearest integer? 2927 What is the third root of 3524087 to the nearest integer? 152 What is 379577 to the power of 1/2, to the nearest integer? 616 What is the eighth root of 13127781 to the nearest integer? 8 What is the third root of 965554 to the nearest integer? 99 What is 201035 to the power of 1/5, to the nearest integer? 11 What is 3657472 to the power of 1/6, to the nearest integer? 12 What is 1363383 to the power of 1/8, to the nearest integer? 6 What is the seventh root of 221337 to the nearest integer? 6 What is 738908 to the power of 1/4, to the nearest integer? 29 What is the seventh root of 840202 to the nearest integer? 7 What is 449121 to the power of 1/8, to the nearest integer? 5 What is 418642 to the power of 1/2, to the nearest integer? 647 What is 757850 to the power of 1/2, to the nearest integer? 871 What is the tenth root of 9997888 to the nearest integer? 5 What is the tenth root of 10561237 to the nearest integer? 5 What is the cube root of 225466 to the nearest integer? 61 What is 2839499 to the power of 1/4, to the nearest integer? 41 What is the ninth root of 382356 to the nearest integer? 4 What is 1519718 to the power of 1/8, to the nearest integer? 6 What is the seventh root of 434804 to the nearest integer? 6 What is 8732 to the power of 1/9, to the nearest integer? 3 What is 1821769 to the power of 1/2, to the nearest integer? 1350 What is 1915783 to the power of 1/2, to the nearest integer? 1384 What is the third root of 562729 to the nearest integer? 83 What is the cube root of 229448 to the nearest integer? 61 What is 1524288 to the power of 1/4, to the nearest integer? 35 What is the square root of 457897 to the nearest integer? 677 What is the eighth root of 32593 to the nearest integer? 4 What is 12460982 to the power of 1/2, to the nearest integer? 3530 What is the fourth root of 22095768 to the nearest integer? 69 What is 228250 to the power of 1/3, to the nearest integer? 61 What is 48274 to the power of 1/8, to the nearest integer? 4 What is 234077 to the power of 1/2, to the nearest integer? 484 What is 387891 to the power of 1/2, to the nearest integer? 623 What is 521505 to the power of 1/2, to the nearest integer? 722 What is 20530 to the power of 1/3, to the nearest integer? 27 What is the cube root of 259960 to the nearest integer? 64 What is the square root of 328134 to the nearest integer? 573 What is the square root of 731885 to the nearest integer? 856 What is 28106735 to the power of 1/4, to the nearest integer? 73 What is the tenth root of 450366 to the nearest integer? 4 What is 196381 to the power of 1/2, to the nearest integer? 443 What is the cube root of 1382466 to the nearest integer? 111 What is 13994151 to the power of 1/3, to the nearest integer? 241 What is 93167 to the power of 1/2, to the nearest integer? 305 What is the square root of 123857 to the nearest integer? 352 What is 218856 to the power of 1/2, to the nearest integer? 468 What is the square root of 7525367 to the nearest integer? 2743 What is 586760 to the power of 1/9, to the nearest integer? 4 What is the cube root of 1039903 to the nearest integer? 101 What is 176566 to the power of 1/3, to the nearest integer? 56 What is the square root of 578958 to the nearest integer? 761 What is 24155278 to the power of 1/3, to the nearest integer? 289 What is the square root of 641981 to the nearest integer? 801 What is 545511 to the power of 1/8, to the nearest integer? 5 What is the cube root of 12079 to the nearest integer? 23 What is the fifth root of 222424 to the nearest integer? 12 What is the third root of 8258557 to the nearest integer? 202 What is 9667648 to the power of 1/3, to the nearest integer? 213 What is 15617115 to the power of 1/6, to the nearest integer? 16 What is 287926 to the power of 1/7, to the nearest integer? 6 What is 1058219 to the power of 1/10, to the nearest integer? 4 What is 927708 to the power of 1/6, to the nearest integer? 10 What is the cube root of 3206608 to the nearest integer? 147 What is the square root of 160265 to the nearest integer? 400 What is the third root of 723792 to the nearest integer? 90 What is the eighth root of 99200 to the nearest integer? 4 What is the third root of 63859 to the nearest integer? 40 What is the fourth root of 199564 to the nearest integer? 21 What is the seventh root of 243928 to the nearest integer? 6 What is the seventh root of 726727 to the nearest integer? 7 What is the fifth root of 544685 to the nearest integer? 14 What is the square root of 2138273 to the nearest integer? 1462 What is 5567537 to the power of 1/2, to the nearest integer? 2360 What is 964568 to the power of 1/2, to the nearest integer? 982 What is 1795644 to the power of 1/5, to the nearest integer? 18 What is 346895 to the power of 1/2, to the nearest integer? 589 What is the square root of 36310 to the nearest integer? 191 What is the cube root of 203663 to the nearest integer? 59 What is the third root of 1628111 to the nearest integer? 118 What is the third root of 4893588 to the nearest integer? 170 What is 3973089 to the power of 1/3, to the nearest integer? 158 What is 244923 to the power of 1/3, to the nearest integer? 63 What is the square root of 553651 to the nearest integer? 744 What is the square root of 13435328 to the nearest integer? 3665 What is the square root of 1325858 to the nearest integer? 1151 What is 3291000 to the power of 1/3, to the nearest integer? 149 What is the square root of 24003048 to the nearest integer
{ "pile_set_name": "DM Mathematics" }
63 - 1561? -14ba In base 16, what is 1f + 154c? 156b In base 5, what is -112 - 4023? -4140 In base 6, what is 550541 - 14? 550523 In base 10, what is -483661 + 1? -483660 In base 13, what is -2 - 51bc? -51c1 In base 12, what is 375 - -a3a? 11b3 In base 7, what is 526 + -615? -56 In base 3, what is -1110 - -2022211221? 2022210111 In base 5, what is -40 + -1204411? -1210001 In base 10, what is -470 - -7? -463 In base 13, what is 43 - 5b7? -574 In base 5, what is -123321 + 2010? -121311 In base 16, what is 1 - -570be? 570bf In base 6, what is 144254 + 4? 144302 In base 7, what is 3 + 16434653? 16434656 In base 5, what is 432303 - -10? 432313 In base 10, what is 2255 + -7? 2248 In base 9, what is 85 + 6651? 6746 In base 4, what is 120210 + 22? 120232 In base 16, what is -13f59 - -7? -13f52 In base 10, what is -117508 + -3? -117511 In base 3, what is -11212222 + 200012? -11012210 In base 12, what is a + -10672? -10664 In base 12, what is 0 + -a359? -a359 In base 13, what is -2758a6 - 1? -2758a7 In base 12, what is b79 - 5a? b1b In base 16, what is 49d4 - -b? 49df In base 13, what is 1cba7 - 4? 1cba3 In base 4, what is -1020 - 3232? -10312 In base 2, what is -1010010011001001 + 1100? -1010010010111101 In base 6, what is 3 + 433123? 433130 In base 11, what is -616a3 + -5? -616a8 In base 3, what is 11 + 20100002? 20100020 In base 10, what is 9 - 439067? -439058 In base 4, what is 1013030200 - 2? 1013030132 In base 9, what is -735 + -10? -745 In base 15, what is 15bd0 - a? 15bc5 In base 4, what is -13011 - 3212? -22223 In base 6, what is -5 + -11342? -11351 In base 6, what is -55023203 + 0? -55023203 In base 10, what is -170533 - 16? -170549 In base 8, what is -17445 + 24? -17421 In base 16, what is -640 + -9? -649 In base 12, what is -3 + -aa7b? -aa82 In base 2, what is -100 - -11001001110100? 11001001110000 In base 6, what is 15331 - 3044? 12243 In base 15, what is 48172 - 5? 4816c In base 15, what is 41 - -257? 298 In base 11, what is 2 + -14165? -14163 In base 5, what is -1330233 + -3? -1330241 In base 7, what is 22466165 + -1? 22466164 In base 8, what is -4 + 43073? 43067 In base 13, what is 1 - -1c677? 1c678 In base 9, what is 28 - -15240? 15268 In base 16, what is 9f41e - 3? 9f41b In base 5, what is 10 + 240320? 240330 In base 8, what is -26 + 504? 456 In base 9, what is -534 - 1841? -2475 In base 16, what is e + 164? 172 In base 15, what is -28 + -9d3? -a0b In base 7, what is 36451 - -2? 36453 In base 2, what is -1001 - -101111101101010111? 101111101101001110 In base 15, what is -3 + -441c? -4420 In base 13, what is -149 - 71? -1ba In base 2, what is -1101010 + 100010010? 10101000 In base 12, what is 38a + -4? 386 In base 2, what is -11 + -10001001011010? -10001001011101 In base 2, what is -101010 + 10000001001110? 10000000100100 In base 7, what is 0 - 400134? -400134 In base 12, what is -2 + -191b8? -191ba In base 14, what is 141 + 98? 1d9 In base 4, what is -2 + -133213332? -133220000 In base 15, what is -12aa + -1? -12ab In base 4, what is -102 + 230302? 230200 In base 3, what is 202102201100 - 12? 202102201011 In base 8, what is -24 + 2655? 2631 In base 3, what is -11101222020 - -12? -11101222001 In base 16, what is -1d - a47? -a64 In base 5, what is 31340400 + -10? 31340340 In base 14, what is 11117 + 2? 11119 In base 2, what is -100 - 111001011011111000? -111001011011111100 In base 14, what is 1872dd + -1? 1872dc In base 10, what is -4 - 14344? -14348 In base 7, what is 1 - 6236114? -6236113 In base 5, what is -110122201 - 1? -110122202 In base 13, what is -8a19 - -24? -89c5 In base 11, what is -397a + -31? -3a00 In base 8, what is 34304 + -24? 34260 In base 3, what is 12 + -21221201? -21221112 In base 7, what is -1152601 + 3? -1152565 In base 4, what is 1103003 - 12? 1102331 In base 10, what is -65 + -1172? -1237 In base 11, what is -104 + -2025? -2129 In base 3, what is 111212021010 + -1? 111212021002 In base 14, what is 4ab3b + 4? 4ab41 In base 10, what is 21324 - -6? 21330 In base 11, what is 91 - 29a9? -2918 In base 8, what is 4622 + -26? 4574 In base 15, what is -d639 - d? -d647 In base 12, what is -28 + -17551? -17579 In base 9, what is 18532255 - 5? 18532250 In base 2, what is 111011101011001111111 - -11? 111011101011010000010 In base 3, what is 10 - 2120220110? -2120220100 In base 5, what is -4 - 44041011? -44041020 In base 11, what is -293 + 108? -186 In base 10, what is 2471199 - -1? 2471200 In base 10, what is 0 + -35947? -35947 In base 8, what is -25040 - -165? -24653 In base 16, what is 16e + 7? 175 In base 14, what is 16a7c + -9? 16a73 In base 15, what is 1 - -9144? 9145 In base 14, what is -608 - -19? -5cd In base 2, what is -1 + -1111101010011001? -1111101010011010 In base 11, what is -3 + -34259? -34261 In base 10, what is 315118 - 5? 315113 In base 8, what is -5 + -664416? -664423 In base 9, what is 404 - 1158? -654 In base 14, what is -3 + -7422? -7425 In base 10, what is 1 + -117618? -117617 In base 7, what is -16 - -555? 536 In base 11, what is 843196 - 5? 843191 In base 8, what is -11120 + -73? -11213 In base 3, what is -201121 - -110? -201011 In base 15, what is -10691 - -2? -1068e In base 4, what is 10112221 - -3? 10112230 In base 7, what is -2 - -2164? 2162 In base 2, what is 10011111100000101100 + 101? 10011111100000110001 In base 13, what is -13cc26 + 4? -13cc22 In base 9, what is 2 + 3037? 3040 In base 14, what is d30 + 1b? d4b In base 15, what is -1408e - 6? -14095 In base 14, what is -3 + 3895? 3892 In base 2, what is -111111110 - 10010010? -1010010000 In base 8, what is 5 + 2110? 2115 In base 6, what is 55415 + 424? 100243 In base 10, what is 26 - 2183? -2157 In base 6, what is -51 + -30511? -31002 In base 15, what is 18e1 + -1c? 18c4 In base 10, what is -11 + 1431? 1420 In base 3, what is -1 + 101200110? 101200102 In base 9, what is -247 + 380? 132 In base 3, what is -200022 + 200? -122122 In base 5, what is -2300 + -1043? -3343 In base 13, what is 251 - 137? 117 In base 11, what is 4 + -8122? -8119 In base 4, what is -2102310 + 320? -2101330 In base 7, what is -44 + 415630? 415553 In base 14, what is -3 - -4844? 4841 In base 4, what is 11 + -3112311? -3112300 In base 7, what is 0 - 111361? -111361 In base 10, what is -96134 + 3? -96131 In base 8, what is -122 - -64? -36 In base 7, what is -204056 + -4? -204063 In base 8, what is -75116 + 1? -75115 In base 9, what is -248 + 7? -241 In base 5, what is -111320 - 13? -111333 In base 5, what is -11030 + -1? -11031 In base 12, what is 2 - -36b60? 36b62 In base 10, what is 7 + -1302? -1295 In base 4, what is 31100122 - -11? 31100133 In base 14, what is -26 + -1ac? -1d4 In base 5, what is -14 + -243243? -243312 In base 9, what is 4 + -8371? -8366 In base 14, what is 0 - 86c2? -86c2 In base 3, what is -1102011102 - 100? -1102011202 In base 12, what is -b3380 + 2? -b337a In base 3, what is 11022011 - 220212? 10101022 In base 8, what is 32277 - 163? 32114 In base 2, what is -11110 - 1000011010011? -1000011110001 In base 15, what is -4db4 + -29? -4ddd In base 10, what is -9 - -158376? 158367 In base 11, what is 1a97948 + -3? 1a97945 In base 8, what is 30733 + 4? 30737 In base 10, what is 1023582 - -4? 1023586 In base 6, what is 5330052 + -4? 5330044 In base 6, what is 41335034 - 1? 41335033 In base 14, what is -351d23 + 4? -351d1d In base 13, what is -88 + 3536? 347b In base 15, what is -2e - 110? -13e In base 2, what is -1 - -10100011100001? 10100011100000 In base 7, what is -25646 - 24? -26003 In base 11, what is -225a + -4? -2263 In base 2, what is -1101000111 + 111? -1101000000 In base 15, what is -1 + -a18? -a19 In base 3, what is -2 + 101222211? 101222202 In base 8, what is 272 - -3334? 3626 In base 15, what is 1e80 - 33? 1e4c In base 7, what is -5 - 424510? -424515 In base 6, what is -124 + -1024? -1152 In base 13, what is -376cb - -3? -376c8 In base 6, what is -5 + 10553311? 10553302 In base 6, what is 3252402 + 3? 3252405 In base 16, what is -91f42 - 1? -91f43 In base 10, what is 8 + -15920? -15912 In base 9, what is -3 - -344820? 344816 In base 12, what is 2 + 2616? 2618 In base 3, what is 1200100 - 20221? 1102102 In base 4, what is 1331122 + 12? 1331200 In base 14, what is 805 + 86? 88b In base 16, what is 4 - -d3690? d3694 In base 6, what is 123 - 42
{ "pile_set_name": "DM Mathematics" }
t common multiple of 60 and 3960? 3960 What is the common denominator of 39/2 and -62/2661? 5322 What is the smallest common multiple of 22 and 86? 946 Calculate the common denominator of -38/939 and -61/303. 94839 What is the common denominator of -101/250 and 101/1000? 1000 What is the common denominator of -101/40 and -121/24? 120 What is the lowest common multiple of 170 and 610? 10370 Calculate the smallest common multiple of 14 and 2768. 19376 Calculate the lowest common multiple of 288 and 18. 288 What is the common denominator of 65/18 and 139/126? 126 Calculate the lowest common multiple of 33 and 18. 198 Calculate the common denominator of -49/13 and -40/1391. 1391 What is the lowest common multiple of 3732 and 10? 18660 What is the least common multiple of 8 and 1124? 2248 Calculate the least common multiple of 2820 and 72. 16920 Calculate the least common multiple of 176 and 38. 3344 Calculate the common denominator of -11/189 and -80/147. 1323 Find the common denominator of 47/42 and 53/2. 42 What is the common denominator of 1/63 and -77/30? 630 Calculate the common denominator of -143/24 and 101/78. 312 Calculate the common denominator of 211/210 and 89/2310. 2310 Find the common denominator of -91/24 and 91/138. 552 Calculate the lowest common multiple of 3 and 69. 69 What is the least common multiple of 103 and 5? 515 What is the common denominator of 121/2580 and 1/156? 33540 Calculate the smallest common multiple of 8 and 20. 40 What is the common denominator of -107/14 and 47/6? 42 Calculate the least common multiple of 2 and 3. 6 Calculate the lowest common multiple of 42 and 70. 210 What is the least common multiple of 344 and 688? 688 What is the lowest common multiple of 221 and 6? 1326 Calculate the common denominator of 8/135 and 22/243. 1215 What is the lowest common multiple of 2118 and 2? 2118 What is the smallest common multiple of 420 and 45? 1260 Calculate the least common multiple of 1260 and 2940. 8820 What is the smallest common multiple of 184 and 12? 552 Calculate the least common multiple of 11 and 3909. 42999 Find the common denominator of -9/4 and 37/43. 172 Find the common denominator of 169/84 and 151/84. 84 Calculate the common denominator of 43/300 and -1/20. 300 What is the common denominator of -37/392 and -127/154? 4312 Calculate the lowest common multiple of 1410 and 2679. 26790 What is the common denominator of 52/19 and -1/365? 6935 Find the common denominator of -35/402 and 43/2. 402 Find the common denominator of -167/126 and -70/9. 126 Calculate the lowest common multiple of 324 and 324. 324 What is the smallest common multiple of 72 and 32? 288 Find the common denominator of 81/1450 and -69/1160. 5800 Calculate the lowest common multiple of 8580 and 7020. 77220 Calculate the common denominator of -67/1377 and 56/405. 6885 What is the common denominator of -179/3000 and 173/30? 3000 Calculate the common denominator of -109/1364 and 33/248. 2728 Calculate the smallest common multiple of 14 and 182. 182 What is the smallest common multiple of 14 and 694? 4858 Calculate the smallest common multiple of 27 and 243. 243 Calculate the smallest common multiple of 91 and 195. 1365 Find the common denominator of 5/66 and 50/561. 1122 Find the common denominator of -101/306 and 33/4. 612 Calculate the common denominator of 143/12 and 51/38494. 230964 What is the lowest common multiple of 30 and 72? 360 Calculate the common denominator of 113/10 and -21/2726. 13630 Find the common denominator of -127/18 and 23/554. 4986 Find the common denominator of 73/50 and -63/275. 550 Calculate the least common multiple of 300 and 25. 300 Calculate the least common multiple of 208 and 56. 1456 What is the least common multiple of 8 and 12? 24 Calculate the least common multiple of 22 and 346. 3806 Calculate the common denominator of 16/5 and 5/48197. 240985 Calculate the smallest common multiple of 111 and 7696. 23088 What is the least common multiple of 10 and 1414? 7070 Calculate the lowest common multiple of 16 and 64. 64 Find the common denominator of 7/174 and -113/54. 1566 What is the lowest common multiple of 126 and 231? 1386 What is the common denominator of 101/8 and -93/4? 8 Calculate the smallest common multiple of 1120 and 88. 12320 Find the common denominator of -21/40 and -149/60. 120 Calculate the smallest common multiple of 74 and 14. 518 What is the smallest common multiple of 198 and 198? 198 Calculate the common denominator of -59/7466 and -61/2. 7466 What is the least common multiple of 72 and 1908? 3816 What is the lowest common multiple of 345 and 621? 3105 What is the common denominator of 133/240 and -55/48? 240 What is the common denominator of -137/12 and -25/162? 324 What is the common denominator of 18/1363 and -20/87? 4089 What is the least common multiple of 111 and 129? 4773 What is the least common multiple of 2212 and 2212? 2212 What is the least common multiple of 162 and 15? 810 What is the least common multiple of 48 and 132? 528 Find the common denominator of 37/30 and -47/261. 2610 What is the common denominator of -37/72 and -97/342? 1368 Calculate the smallest common multiple of 42 and 252. 252 Find the common denominator of 54/725 and -32/7. 5075 Calculate the lowest common multiple of 24 and 9. 72 What is the common denominator of -7/4 and 21/88? 88 Find the common denominator of 15/4 and 51/566. 1132 What is the common denominator of 123/1540 and 53/49? 10780 What is the common denominator of 53/308 and 29/220? 1540 Find the common denominator of 3/64 and -77/32. 64 Calculate the common denominator of -179/30 and 85/78. 390 What is the common denominator of -31/6 and 149/732? 732 Find the common denominator of 25/476 and 41/1428. 1428 Find the common denominator of 21/1072 and 3/1792. 120064 Find the common denominator of -71/28 and -27/7. 28 Find the common denominator of -173/180 and 49/1660. 14940 Calculate the common denominator of 25/36 and -113/5860. 52740 Calculate the least common multiple of 376 and 4. 376 Calculate the least common multiple of 11 and 139. 1529 Calculate the smallest common multiple of 2240 and 2688. 13440 Calculate the least common multiple of 198 and 900. 9900 Calculate the common denominator of 3/61 and -57/5. 305 What is the common denominator of -61/4 and -77/248? 248 Calculate the smallest common multiple of 77 and 7. 77 What is the smallest common multiple of 66 and 240? 2640 Find the common denominator of -49/298 and -33/4. 596 Calculate the common denominator of 41/858 and -41/4. 1716 What is the smallest common multiple of 50 and 4? 100 What is the least common multiple of 305 and 183? 915 What is the common denominator of 53/754 and -17/261? 6786 Find the common denominator of -101/10136 and -83/2896. 20272 Find the common denominator of -67/154 and -17/5. 770 Calculate the smallest common multiple of 33 and 51. 561 What is the lowest common multiple of 38 and 209? 418 Find the common denominator of 37/39 and -41/104. 312 Calculate the common denominator of 91/736 and 149/552. 2208 What is the common denominator of 37/460 and -1/75? 6900 What is the common denominator of 107/2024 and 23/1672? 38456 What is the common denominator of 11/60 and -93/1210? 7260 Find the common denominator of -89/654 and 69/22. 7194 What is the smallest common multiple of 1594 and 8? 6376 What is the common denominator of 77/100 and 7/300? 300 What is the smallest common multiple of 3 and 9? 9 Find the common denominator of -47/4 and 11/146. 292 What is the common denominator of -11/252 and 95/462? 2772 What is the common denominator of 16/319 and -18/1189? 13079 What is the common denominator of -79/16 and 61/920? 1840 Calculate the common denominator of 169/1320 and -39/320. 10560 What is the common denominator of -11/2 and 32/117? 234 What is the smallest common multiple of 17 and 9? 153 Calculate the common denominator of 49/32033 and 22. 32033 Calculate the least common multiple of 150 and 75. 150 Calculate the lowest common multiple of 9200 and 550. 101200 What is the common denominator of 5/128 and 1/18? 1152 Calculate the smallest common multiple of 238 and 68. 476 What is the least common multiple of 1022 and 5? 5110 Calculate the common denomi
{ "pile_set_name": "DM Mathematics" }
hat is the second derivative of t**4 + 314386*t - 3*t**4 - 519*t**3 - 311850*t - 67*t**3 wrt t? -24*t**2 - 3516*t Let s(d) = d**3 - 22*d**2 - 9*d + 202. Let n be s(22). What is the first derivative of 4*m**3 - 19 - 183*m**4 - 7*m**n - 27*m**4 - 3*m**3 - 145 wrt m? -868*m**3 + 3*m**2 Let f(l) = l**3 - 4*l**2 + 3*l + 2. Let x be f(3). Suppose 5*u - 21 = x*u. Differentiate -17 + 9 + u + 3*a**3 wrt a. 9*a**2 Let l(u) = -551*u + 1. Let d be l(-1). Suppose 0*q + 4*q = d. What is the second derivative of -11*n - q*n**5 - 7*n + 131*n**5 wrt n? -140*n**3 Suppose 0 = -5*m, 2*m - 1 = 4*s - 9. Differentiate 8 - 208*a**2 + 208*a**s - 44*a**3 with respect to a. -132*a**2 Let f(t) = t**2 + 4*t - 64. Let o be f(8). Find the third derivative of -28 + 16 + 79*i**2 + o*i**6 + 12 wrt i. 3840*i**3 Let b(g) be the second derivative of 0*g**5 - 3/2*g**7 - 1/15*g**6 + 1/12*g**4 + 0*g**2 + 13/3*g**3 + g - 181. Find the third derivative of b(f) wrt f. -3780*f**2 - 48*f What is the derivative of 947*b**2 + 488*b - 72*b**2 + 510*b**2 + 496*b + 1300 - 986*b wrt b? 2770*b - 2 Let q(y) = -y**2 + 19*y + 23. Let t be q(20). Differentiate -3*d**t + 19*d**3 - 7*d**3 + 110 wrt d. 27*d**2 Let d(u) be the third derivative of u**4/24 + 10*u**3/3 - 16*u**2. Let p be d(-18). What is the derivative of 0*m**2 + 6 - 4 + 2 - 2*m**p wrt m? -4*m Differentiate 96*r - 134*r**2 + 25*r**2 + 1389 + 114*r**2 with respect to r. 10*r + 96 Let f(n) = -178*n**2 + 36*n - 3. Let a(b) = -2*b**2 + b + 3. Let t(c) = a(c) + f(c). Find the second derivative of t(y) wrt y. -360 Let v(z) be the second derivative of 0 - 37/2*z**3 - 1/10*z**5 + 0*z**4 + 226*z - 101*z**2. Differentiate v(l) wrt l. -6*l**2 - 111 Suppose 46 = 5*r - 3*r. Let z(p) = -328*p + 129. Let u be z(-4). What is the third derivative of -1441*k + r*k**2 + u*k + 10*k**3 wrt k? 60 Let l(v) be the third derivative of -62*v**7/7 - 943*v**3/6 + v**2 + 294. Differentiate l(g) wrt g. -7440*g**3 Find the first derivative of -646 + 106*u - 554 + 260*u - 43*u wrt u. 323 Let o(a) = 2*a**3 - 3 + 18*a**2 - 21 - 19 - 18. Let t(w) = -5*w**3 - 54*w**2 + 181. Let m(x) = 8*o(x) + 3*t(x). Find the first derivative of m(y) wrt y. 3*y**2 - 36*y Let o(l) be the second derivative of -2409*l**5/4 - 1246*l**3/3 - l**2 + 5*l - 1128. Find the second derivative of o(g) wrt g. -72270*g Suppose n = -r + 23, -3*r - 83 = -2*n - 3*n. Suppose -4*x + n = -v, v + 16 = x + 3*v. Differentiate 22 - 17*y**4 + 4 - x + 3 with respect to y. -68*y**3 What is the third derivative of -13573 + 246*a**2 - 100*a**3 + 1412*a**3 + 13571 + 78*a**3 wrt a? 8340 Let c(b) be the first derivative of -656*b**2 + 748*b - 1047. What is the first derivative of c(z) wrt z? -1312 Let m(n) be the first derivative of 21*n - 76 + 0*n**4 + 0*n**2 - 111/5*n**5 + 0*n**3. What is the first derivative of m(g) wrt g? -444*g**3 Differentiate -3766*z - 806 + 2548*z + 2722*z wrt z. 1504 Let g(j) be the second derivative of -349*j**5/5 + j**4/6 + 1162*j**3/3 - 3926*j. Find the second derivative of g(w) wrt w. -8376*w + 4 Let q(h) = -232 + 128*h + 132*h - 256*h - 2*h**2. Let c(t) = 4*t**2 - 10*t + 462. Let k(a) = -2*c(a) - 5*q(a). What is the first derivative of k(p) wrt p? 4*p Suppose -9 = -6*j + 9. Let x be j - (0 + 0/5). Find the third derivative of 19*q**x - 13*q**2 + 21 - 21 wrt q. 114 Let k(g) = -686*g**3 - 36*g**2 - 17*g - 6. Let j(r) = -1372*r**3 - 60*r**2 - 33*r - 14. Let z(f) = 3*j(f) - 5*k(f). Find the second derivative of z(s) wrt s. -4116*s Find the third derivative of -426*t**3 + 9*t**2 + 42*t**3 + 7 + 32*t**2 - 69*t**2 wrt t. -2304 What is the derivative of -7*u**4 - 5131 + 136*u - 3373 + 524 + 3*u**4 wrt u? -16*u**3 + 136 Let n(i) be the third derivative of -13*i**7/35 + i**5/15 - 14*i**3/3 + 40*i**2 - 3*i. What is the third derivative of n(c) wrt c? -1872*c Find the second derivative of -1160*z**3 + 193*z - 713*z**3 - 1 - 72*z wrt z. -11238*z Let p(i) = 2246*i + 2265. Let g(x) = -2245*x - 2274. Let h(w) = -4*g(w) - 5*p(w). What is the first derivative of h(q) wrt q? -2250 Let y(d) be the third derivative of -3613*d**9/504 + 13*d**5/60 - 39*d**4/8 + 4*d**2 - 128*d. What is the third derivative of y(r) wrt r? -433560*r**3 Suppose -5*c - 4*l + 6226 = 0, -5*c = -5*l + 294 - 6484. What is the derivative of r**3 - 2*r - c + 5*r**3 + 1151 wrt r? 18*r**2 - 2 Let i(p) be the second derivative of 0*p**4 + p**2 + 0 + 72*p + 8*p**3 - 37/20*p**5. What is the second derivative of i(x) wrt x? -222*x Let s(h) = -349*h**3 - h**2 + 14*h - 1082. Let i(w) = 232*w**3 + w**2 - 10*w + 721. Let a(d) = -7*i(d) - 5*s(d). What is the third derivative of a(g) wrt g? 726 Differentiate 788 + 137 - 252 - 933*b**2 wrt b. -1866*b Suppose -4*k + k = -12, k + 1468 = 4*b. What is the second derivative of 739*n + 7 - 369*n + 7*n**4 - b*n wrt n? 84*n**2 Let q(x) = 1397*x**2 - 17*x - 1455. Let i(l) = -699*l**2 + 8*l + 728. Let h(a) = -13*i(a) - 6*q(a). Find the first derivative of h(u) wrt u. 1410*u - 2 Let n(v) = 11*v**2 - 19*v + 72. Let m be n(10). What is the third derivative of -10*l**4 + m*l + 2*l**2 + 2*l**2 - 980*l wrt l? -240*l Let y(x) = 6097*x**3 + 2085*x**2 + 15*x. Let t(g) = -3049*g**3 - 1045*g**2 - 9*g. Let o(n) = 5*t(n) + 3*y(n). What is the third derivative of o(z) wrt z? 18276 Suppose 0 = -4*v + 10 + 6. Suppose 0*t = 2*m + v*t - 38, m = -5*t + 28. Differentiate m*l**4 + 13 - 7 - 20*l**4 with respect to l. -28*l**3 Suppose -5*d + 21 = b, d - 136 = -5*b + 41. Suppose -7*x = 49*x - 224. Differentiate b*s - x + 42 - 7*s wrt s. 29 Let q(s) be the second derivative of 5183*s**4/6 + s**3/3 + 1643*s**2 - 14969*s. Find the second derivative of q(o) wrt o. 20732 Let l(f) be the first derivative of 2*f**7/7 + 424*f**5/5 + 402*f**3 - 510. Find the third derivative of l(i) wrt i. 240*i**3 + 10176*i Let f(n) be the first derivative of 0*n**3 - 41 - 37/2*n**4 - 111*n + 0*n**2. What is the derivative of f(j) wrt j? -222*j**2 Let y(l) = 2023*l + 4613. Let v(h) = 26298*h + 59814. Let k(z) = 4*v(z) - 51*y(z). Differentiate k(o) with respect to o. 2019 Let f(t) = 136*t**3 + 28*t + 401. Let q(w) = 5*w + 3. Let r(b) = -f(b) + 5*q(b). What is the second derivative of r(g) wrt g? -816*g Let i(g) = 7*g**2 + 62. Let j be i(15). What is the third derivative of -1637 - 20*r**2 + j - 27*r**3 - r**5 wrt r? -60*r**2 - 162 Suppose 14*k - 862 = -344. What is the derivative of -86 - 142 + 71 - 112 - 183*l**3 + k wrt l? -549*l**2 Find the first derivative of 181 + 211 + 93 - 433*q - 20 + 61 wrt q. -433 Let x(s) = 1879*s**2 + 5445. Let a(i) = -7524*i**2 - 21779. Let k(v) = -2*a(v) - 9*x(v). What is the derivative of k(q) wrt q? -3726*q What is the first derivative of -279*q**2 - 403 + 3467 + 418 - q**3 wrt q? -3*q**2 - 558*q Differentiate 58*q**4 - 89*q**4 - 57*q**2 + 25*q**2 - 2029 - 4*q**3 + 23*q**2 wrt q. -124*q**3 - 12*q**2 - 18*q Let c(l) = 3*l + 4. Let j be c(2). Find the second derivative of 34*a**3 - j*a + 104 - 102 - 38*a wrt a. 204*a Suppose -7*s - 11*s + 270 = 0. What is the second derivative of -45*h + s*h - 201*h - 136*h**3 - 4*h**2 + 4*h**2 wrt h? -816*h Let z = 76394/3 + -25459. Let w(q) be the second derivative of 7*q**2 + 0 - q - z*q**3. Differentiate w(b) with respect to b. -34 Let q(c) = -c**2 + 14*c + 97. Let g be q(-5). What is the third derivative of -2 - g + 160*a**2 - 8 + 14 - 28*a**2 + 16*a**4 wrt a? 384*a Suppose 0 = 5*q - r - 12, -q - 4*r = 3*q. Find the second derivative of 16*v + 20*v + 118*v + 120*v**q wrt v. 240 What is the derivative of -1412 + 287*p**4 - 573 + 276 + 206*p**4 wrt p? 1972*p**3 Differentiate -1475*g**4 + 10 + 3758*g**4 + 119 + 193 wrt g. 9132*g**3 Let s(u) = -13*u - 18*u + 32*u. Let z(q) = -q - 3*q - 6 - 13. Let v(d) = 3*s(d) - z(d). Find the first derivative of v(a) wrt a. 7 Let x(l) be the second derivative of 0*l**2 + 0*l**6 + 41/6*l**4 - 1/10*l**5 - 1/6*l**3 - 239*l + 0 + 2/21*l**7. What is the third derivative of x(j) wrt j? 240*j**2 - 12 Let w(a) be the second derivative of -17*a**4/6 + 607*a**3/2 + a + 6. Find the second derivative of w(p) wrt p. -68 Let p(b) be the third derivative of 5/6*b**4 + 0*b**3 + 7/30*b**5 + 0 - 1/105*b**7 + 0*b**6 + 44*b**2 + 0*b. Find the second derivative of p(g) wrt g. -24*g**2 + 28 Let z(a) = -2*a**2 + 5*a - 3. Let m be z(2). Let p be ((14/m)/7)/((-1)/3). What is the th
{ "pile_set_name": "DM Mathematics" }
ch is the third smallest value? (a) 13 (b) 3 (c) -3974/3 a Which is the third biggest value? (a) -4/7 (b) -6 (c) -11 (d) 1/5 (e) 0.04 (f) -5 a Which is the third biggest value? (a) -14 (b) -1/26 (c) 413 a What is the fourth biggest value in -31, -1/7, 0.2, -0.02, 3? -1/7 Which is the second smallest value? (a) 11 (b) -0.3 (c) 1.59 (d) -0.03 (e) 2 d Which is the third smallest value? (a) 16 (b) 6 (c) -68/11 a Which is the fifth biggest value? (a) 2 (b) 1 (c) -49 (d) 60 (e) -19 c What is the third biggest value in 5, 10, 411, 0.4, -5? 5 Which is the second biggest value? (a) 153/5 (b) -12/17 (c) 0.1 (d) -1 c What is the third smallest value in 3, -0.5, 6.644, -0.4? 3 What is the biggest value in 1/4, -0.2, -1318? 1/4 What is the fifth smallest value in -2/7, 1, -1/9, 0.1, 0.4? 1 What is the third biggest value in -36/13, 2/3, -12, -9/5? -36/13 What is the fourth smallest value in -5, -4/3, -2/5, -330? -2/5 What is the smallest value in -0.02, 5, 0.1, 65/6, -0.3? -0.3 What is the fourth smallest value in 2, -1432, 1/10, -0.012? 2 Which is the biggest value? (a) -1 (b) 0 (c) 2475 (d) 6 c What is the fourth smallest value in 0, 3, -28, -1/4, 865? 3 What is the second smallest value in -4, 3, 2080? 3 Which is the smallest value? (a) 0.34 (b) 1 (c) 0.00881 c Which is the fifth biggest value? (a) -5 (b) 1/4 (c) -0.1 (d) 44 (e) -4.3 a What is the second biggest value in -5, 2, 0.5, 1/482? 0.5 What is the second biggest value in -1.7, 0.25, 0, -33.4? 0 Which is the third biggest value? (a) -609 (b) -46 (c) 0.4 a Which is the second biggest value? (a) 0.1 (b) 1/6 (c) 0 (d) 19 (e) -0.118 (f) 0.11 b Which is the smallest value? (a) 2/10653 (b) 0.4 (c) 0.2 (d) -25 d Which is the biggest value? (a) 0.2 (b) -0.5 (c) -1/11 (d) 0.074 (e) 0.065 a Which is the fourth biggest value? (a) -0.7 (b) 2/3 (c) -2 (d) 0.4 (e) 1/5 (f) -1 a Which is the smallest value? (a) -5 (b) -32737 (c) 3 (d) 4 (e) -2 (f) -0.5 b What is the smallest value in -12, -10, -66, 4, -3? -66 What is the smallest value in -921, -2/3, 5? -921 What is the second smallest value in 1.1, 3, 2/1055? 1.1 What is the fourth biggest value in 12, -8, 4, 2/11, 3/64? 3/64 What is the second smallest value in -1/4, -28, -5, -2/15, 1.72, -2/5? -5 Which is the third smallest value? (a) 3/32 (b) -0.1 (c) 4 (d) 3 (e) -5 a Which is the fifth biggest value? (a) -4 (b) 0.2 (c) -0.8 (d) -0.4 (e) 0.02 (f) -3 f Which is the biggest value? (a) 0.6 (b) -5 (c) -106 (d) 3 d What is the fifth biggest value in 0.37, -0.14, -4, 5, -44/3? -44/3 Which is the fourth smallest value? (a) -10/9 (b) 102 (c) 2 (d) -0.3 (e) -6 c What is the third smallest value in 1, 13/5, 0.3, -6/71? 1 Which is the smallest value? (a) -1 (b) -0.08 (c) -0.1 (d) 62 (e) -2/49 (f) -0.4 a Which is the second biggest value? (a) -1/10 (b) -3297 (c) -3 (d) 1/11 a What is the sixth smallest value in -1, -0.3, 421, 2, -2, 6? 421 Which is the biggest value? (a) 1/5 (b) 0.4 (c) 218/3 (d) 5 (e) -3/2 c Which is the biggest value? (a) 3 (b) -25 (c) -1/4 (d) 25 d What is the smallest value in -4.3, 1/4, -3/4, 0.4, 16? -4.3 What is the sixth smallest value in -3, 0.4, -33, 1/3, -1.33, -0.2? 0.4 Which is the biggest value? (a) 4 (b) 2 (c) 2.1 (d) 2/125 (e) -1/4 (f) 3 a Which is the second smallest value? (a) -15 (b) -5 (c) 3 (d) -7 (e) 3/2 d Which is the biggest value? (a) -5304/11 (b) -1 (c) 0.05 c What is the second smallest value in -2, 107, 0.16, 0.04? 0.04 Which is the biggest value? (a) -128 (b) 47 (c) -4 b What is the biggest value in -1, -0.3, 590.5, 1? 590.5 What is the fourth biggest value in 1.3, -3, 2, -1? -3 What is the third smallest value in 4, 2/13, -2/13, -11669, -0.5, -3? -0.5 Which is the smallest value? (a) 0.92 (b) 2/7 (c) 0.2 c Which is the smallest value? (a) 0.005 (b) -1/3 (c) 2 (d) -4 (e) 3 d Which is the fourth biggest value? (a) 2/11 (b) -6 (c) 31 (d) 3 (e) -3/5 (f) 2/13 f Which is the third biggest value? (a) -164 (b) -0.11 (c) 39 (d) 3 (e) -1/2 b What is the third smallest value in -5, 92, -4/5? 92 Which is the biggest value? (a) 2/23 (b) -1/7 (c) 4 (d) -0.5 (e) -3 c Which is the second biggest value? (a) 0.4 (b) -9 (c) -15182 (d) -1/3 d What is the second smallest value in 4, 33, 1.741, 0.5? 1.741 What is the biggest value in 2/155, -0.1, -0.3, -0.2, -5? 2/155 Which is the second biggest value? (a) -0.4 (b) 0.25 (c) -2 (d) 1/11 d Which is the fifth biggest value? (a) -1/10 (b) -2/3 (c) 7 (d) -12 (e) -4 d What is the fourth biggest value in -1/3, -22, -629, 0.2? -629 What is the second biggest value in -0.012, -1/3, 2, -5, 21/8? 2 What is the fifth biggest value in -5, 1/6, 1/1941, 1, -0.5? -5 Which is the biggest value? (a) -10 (b) -3/4 (c) -5 (d) 4 (e) -2/7 d Which is the second biggest value? (a) -3 (b) -205 (c) 7 (d) -5 (e) -6/19 (f) -2 e Which is the third smallest value? (a) -3 (b) 4 (c) -934/641 b What is the biggest value in 3/2, -0.2, 8.23, -0.1, -5, -2/7? 8.23 Which is the fifth smallest value? (a) 1 (b) -0.3 (c) 5 (d) -0.12 (e) -4 (f) 162/13 c Which is the third smallest value? (a) -0.22 (b) -56 (c) 0 (d) -3 a Which is the third smallest value? (a) 9 (b) -7 (c) 4 (d) 0.018 (e) -1 d What is the smallest value in 1, -21, -144.41? -144.41 What is the second biggest value in -51/4, 35, 6/19? 6/19 Which is the fourth smallest value? (a) 3 (b) -2 (c) -4 (d) 5 (e) -1.21 a Which is the third smallest value? (a) 1/5 (b) 4 (c) 0.5 (d) -2/3 (e) -550 a What is the third smallest value in -71.344, -4, -2/17, 11? -2/17 What is the third biggest value in 2/15, 2/11, 0.3, -7/9, -0.1, 1? 2/11 Which is the biggest value? (a) 204 (b) 0 (c) -16 (d) -2 a Which is the smallest value? (a) 5 (b) 1 (c) 14/19 (d) 0.8 (e) -0.3 e What is the second smallest value in 1/4, 58, -4/9891? 1/4 Which is the fourth smallest value? (a) 20.73 (b) 2/5 (c) -0.5 (d) -1 (e) -30 b What is the fifth smallest value in 0.4, -2/15, -1, -3/5, -2/735, 1? 0.4 Which is the third smallest value? (a) 3/7 (b) -53 (c) 9 c What is the fifth biggest value in 11/6, 1/3, -0.1, -1/12, -13? -13 Which is the fifth biggest value? (a) 4 (b) 1 (c) -5 (d) -0.9827 (e) 0 c Which is the biggest value? (a) -45548 (b) 2 (c) 11 c Which is the biggest value? (a) -2/47 (b) -2/505 (c) -5 (d) 2 (e) -0.01 d Which is the fifth smallest value? (a) 4 (b) -0.4 (c) 2/19 (d) 2/5 (e) -3 (f) 297 a What is the biggest value in 155, -4, -2? 155 What is the biggest value in -0.3, 2/5, 4/3, 0.3, -18, -7? 4/3 What is the second biggest value in 6.14, 0, 1? 1 What is the second smallest value in -2, 0.4, -3/4, 6/7, -49/6? -2 Which is the smallest value? (a) -0.189 (b) 4/15 (c) 3/4 (d) -0.3 d Which is the second biggest value? (a) 2/13 (b) -1/8 (c) -0.110301 c Which is the second smallest value? (a) 119056 (b) 2 (c) 5 c What is the second biggest value in 492, -1, -5, 5, -9? 5 What is the smallest value in -60.8, 0.5, 120? -60.8 Which is the second biggest value? (a) -0.0359 (b) -0.6 (c) -0.5 (d) -1/5 d What is the third smallest value in -19327, -3, -0.3? -0.3 Which is the fourth biggest value? (a) 0.04 (b) 39 (c) 5/6 (d) 5 (e) 3/5 (f) -1.5 e Which is the biggest value? (a) -48.54 (b) -0.007 (c) -5 b Which is the smallest value? (a) 2/5 (b) 2/11 (c) -10.9 (d) -1/10 (e) 18 c What is the fourth biggest value in 2, 1.9, 75, -35? -35 Which is the smallest value? (a) -86/9 (b) -11/15 (c) 3 (d) 1/11 a Which is the biggest value? (a) -184 (b) 2/19 (c) 0.5 (d) -0.4 c What is the second smallest value in -2/11, -14/3, 39? -2/11 What is the third smallest value in 0.5, -110, -1.5, -1? -1 What is the smallest value in -5/36, -2, 5/3? -2 Which is the second biggest value? (a) 100 (b) -0.2 (c) 41 c Which is the second biggest value? (a) -2 (b) -3/4 (c) -0.1 (d) -7039 b What is the third smallest value in -2/9, 7, 0.43362? 7 What is the second biggest value in -8, 3274, -3.6? -3.6 Which is the fifth smallest value? (a) -0.1 (b) -70 (c) 6 (d) -3 (e) -1/4 (f) -5 a Which is the third smallest value? (a) -520 (b) 1 (c) -174 b Which is the small
{ "pile_set_name": "DM Mathematics" }
22. Is -1 - (-4614)/15 - 4/u a prime number? True Let p(m) = 42*m**2 + 3*m + 2. Let v be 11/(-33) - (-20)/6. Let b be p(v). Suppose 26 = 4*g + i - b, 312 = 3*g + i. Is g a prime number? True Is 2/(-16) + 23450/80 a prime number? True Let a(g) = 33*g - 148. Is a(25) a composite number? False Let r(j) = j**3 + 3*j**2 + 2*j + 104. Is r(29) composite? True Let s(z) = 2*z + 44. Let w be s(-21). Suppose j = 2*o - 10078, 5*j - 20156 = -2*o - w*o. Is o a prime number? True Is (-6)/(24/1268)*-7 composite? True Suppose 2*n - 86993 = -y - 4*y, 5*n + 52202 = 3*y. Is y prime? False Is 2/((126/66227)/9) prime? True Let d(v) = 285*v**2 + 2*v - 9. Let o(p) = -856*p**2 - 7*p + 27. Let h(f) = 11*d(f) + 4*o(f). Let a be h(-6). Is (-2)/3 - a/27 composite? False Let a be 76 - (-6)/18*3. Suppose a*n = 74*n + 2757. Is n prime? True Let u(l) = 2*l - 18. Let y be u(6). Let f = 49 + y. Is f prime? True Let i = 19279 - 11610. Is i composite? False Let k(s) = -s**3 + 6*s**2 - 4*s - 4. Let m be k(4). Let v = -8 + m. Suppose 3*r - 211 = v*z, -7*r + 2*r - z + 390 = 0. Is r a prime number? False Let y(k) = -k**3 - 8*k**2 + 10*k - 7. Let a be y(-8). Let s = -54 - a. Is s prime? False Suppose 3*w = 3*z - 6, 3*z - 2 = 6*w - w. Suppose 5*u = -m + 639, -w*u - 365 = -5*u + 4*m. Is u a composite number? False Let l be 31 - (-4 + -5)/(-3). Suppose -l = -2*y + 198. Is y a composite number? False Let l = -18279 - -25918. Is l prime? True Let k = -13194 - -18713. Is k prime? True Let n(a) = 6*a**2 + 27*a + 23. Is n(-22) a prime number? True Let r = -15 + 15. Let v be -894 - 0/(r + 2). Let j = 1333 + v. Is j composite? False Let b = 19 - 8. Let u = 78 - b. Is u a prime number? True Let x(l) = -2*l**3 - l**2 - 10*l - 7. Let y be x(-6). Suppose 6*g - y = 5*g. Is g prime? True Is 613814/12 + (-11 + 9)/12 a prime number? True Suppose 0 = 3*s - 28511 - 22. Is s prime? True Suppose 42934 = 2*r + 3*x, -19*x + 24*x = -3*r + 64401. Is r prime? True Let f(m) = 1045*m - 2. Suppose 5 = v + 4. Is f(v) composite? True Let p be ((-10)/(-3))/(2/(-216)). Let s = p + 779. Is s a prime number? True Let r be (4 - 2)*(-8)/(-4). Suppose -2*o - 2*o - 4*y = -2184, -2*o = -r*y - 1062. Is o composite? False Let j(r) = -r**3 - 6*r**2 + 7*r + 3. Let b be j(-8). Let q = -60 + b. Is q prime? False Let u = 53091 - 19570. Is u prime? True Suppose 0 = 5*k - 25, 2*t + 2*k - 5815 = 12553. Is t composite? True Suppose 2311 + 489 = 8*r. Suppose -5*f = 5*i - r, -i - 7*f + 10*f + 58 = 0. Is i a composite number? False Suppose -n - h + 6250 = 0, 2*h + 5728 = 3*n - 13007. Is n composite? False Let z be (6 + 65/(-10))/(1/2). Is 3410 + z + 2 - -2 a composite number? False Suppose 5 = -4*c - 19. Let s(y) = -209*y + 35. Let n(q) = 105*q - 15. Let b(p) = -5*n(p) - 2*s(p). Is b(c) composite? False Let m(a) be the first derivative of -654*a**2 - 17*a - 37. Is m(-5) composite? True Suppose -9 = 3*f - 15. Suppose 3598 = f*l + 724. Is l a composite number? True Let t = -62 - -76. Suppose -16*a + t*a = -506. Is a a composite number? True Let c be 18/(-4)*(140 - 2). Let l be ((-4)/(-10))/(2/10). Is (c/(-2) + 1)*l a composite number? True Suppose -143*f + 139*f - 1476 = 0. Let v = f + 1112. Is v a prime number? True Suppose 4*r - 5*y - 24 = 0, 2*y + 2*y + 19 = 3*r. Is (-2557)/((-6 + 5)/(r - 0)) composite? False Suppose -4*q - 5*l - 9 - 11 = 0, -2*l = -2*q + 8. Let d be 4/16*0 - -124. Suppose -n + 128 = -g, q = -n - 4*g + g + d. Is n prime? True Suppose 875 = -4*h + 5*v, -h - 285 + 62 = 3*v. Let k(n) = -7*n + 8. Let z be k(-9). Let d = z - h. Is d a composite number? True Suppose -4*h = -3*w, 3*w - 2 = -2*h + 16. Suppose -h*y - 2*y + 3030 = 0. Suppose -3*c + 2*c + 608 = 3*z, 0 = 3*z + 3*c - y. Is z a composite number? True Let k be 2*2/(-4)*-2. Let p(n) = -1 + 7 - 6*n + 5*n**k + 2. Is p(7) composite? False Let d = -368 - -373. Let c = 772 + -458. Suppose -d*q + 247 = 3*x, 4*x - 3*q = -2*q + c. Is x prime? True Let q be (4 - 1)*(0 + -3). Let p be (-18)/81 + (-47)/q. Suppose -p*i = -3*i - 106. Is i prime? True Let m = 2016 - 545. Is m a composite number? False Let o(p) = p**2 + 6*p - 201. Is o(64) prime? False Let x = 2959 + -756. Is x a composite number? False Let l(v) = 11*v**2 - 9 + 7*v - 7*v + 7*v + v**3 + 5*v**2. Is l(-13) prime? False Let k(i) = 6*i**2 - 33*i + 61. Is k(20) prime? True Let s = 25128 - 847. Is s a composite number? False Suppose 4*o + 2758 = -2*g, 3*g = 5*o + 2607 + 824. Let i = -462 - o. Is i a composite number? True Let w be 6 - (-70)/(-15) - 4/(-6). Suppose -1638 = -9*x + 4*x - r, w*x + 3*r - 663 = 0. Is x a prime number? False Let g(s) = -19*s**3 + 2*s**2 + 4*s - 11. Let z(j) be the first derivative of 9*j**4/4 - j**3/3 - j**2 + 5*j + 6. Let d(b) = -4*g(b) - 9*z(b). Is d(-2) prime? False Let p(t) be the third derivative of -49*t**4/8 - t**3/6 + 12*t**2. Is p(-2) prime? True Let l(f) = f**3 - 7*f**2 + 8*f - 7. Let c be l(6). Let k(y) = -50*y**2 - 3*y - 4. Let t be k(c). Is t/(-18)*44/6 a composite number? True Let f(r) = -r - 7. Let v = 9 - 19. Let o be f(v). Suppose -75 = o*y - 648. Is y a composite number? False Let p be 1 - (-4 + 1 + 12 + -431). Suppose -25 = 5*n, 4*i + n = 6*n + 33. Is (-1)/i + p/2 a composite number? False Suppose -9*y - 13665 = -12*y. Suppose -5*k - d = -5*d - y, -k - 4*d = -911. Is k a composite number? False Suppose -8 = -4*o - 0*o. Is (-12)/(-5) - o - 12615/(-25) composite? True Let w(g) = 14*g**2 + 12*g + 2. Let h be w(6). Suppose h = 5*i - 3*q, 4*i + 0*q = -2*q + 480. Is i a composite number? True Suppose 0 = n + 5*f + 2, -5*f = -3*n - 9 + 3. Let y be 0 + n + 17575/19. Let c = -124 + y. Is c a composite number? True Suppose t - 17963 = -2*x, 4*t - 2*x - 51956 - 19866 = 0. Is t composite? False Let y be 2/(246/(-63) + 4). Suppose -f - 9 = -d, -f - 5*d = -0*f - y. Let h = f + 6. Is h a composite number? False Suppose 4*t + 4*w = 100, -3*t - w + 81 = 4*w. Suppose 2*l = -3 + 9. Suppose -t = g - l*g. Is g composite? False Let d(q) = q**2 - 7*q - 8. Let v be d(8). Suppose 3*b + 2*o - 403 = v, o = 4*b + 4*o - 539. Is b prime? True Suppose -2*f = 4*k - 4470, 4*k = -3*f + 3501 + 3206. Is f a prime number? True Suppose -5*a + 30 = -8*a. Let g(q) = -41*q + 10. Let x be g(a). Is 1/(x/(-212) + 2) a prime number? True Let n(f) = -2*f**3 - 4*f**2 - 5*f - 5. Let u be n(-2). Let s be (-4 + u - 4) + 1727. Suppose 186 = 5*c - s. Is c a composite number? True Let y be (0 - (-4)/(-8))/((-3)/24). Suppose l - 9 = -7, 2*w - y*l - 588 = 0. Is w prime? False Let j = -7669 + 12278. Is j composite? True Suppose 0 = 3*s - 61995 - 13908. Is s prime? True Suppose 2196 = -11*g + 20*g. Let b = g - 87. Is b prime? True Suppose 0 = 8*r - 13*r + 5*v + 16235, v = 0. Is r prime? False Is -3*(8 - (432 - -7)) prime? False Is 181594/12 + (-8)/(-48) prime? False Let f(h) = 2386*h + 33. Is f(8) a prime number? True Suppose 2*b - 4*b = 0. Let n be (b + 1)/((-3)/(-9)). Suppose -n*v + 643 = 2*i, 6*i + 3 = 3*i. Is v a composite number? True Let a = -6 - -6. Suppose 3*f - 3 = a, -f = z + 3*f - 56. Suppose -o + z + 97 = 0. Is o a composite number? False Suppose 0 = -8*a + 20683 + 15309. Is a prime? False Let d = 285 - 188. Suppose -d = 3*c - n + 6*n, -2*n + 104 = -3*c. Let v = 413 + c. Is v prime? True Let p(u) be the third derivative of 7*u**5/30 - 11*u**4/24 + 25*u**3/3 - 2*u**2 - 4*u. Is p(-17) composite? False Suppose -67813 + 8843 = -10*j. Is j prime? True Let w be 542/14 - 16/(-56). Let g be -4 - (0 + 1 + -1). Let t = g + w. Is t a prime number? False Let h(y) = -3*y**2 - 5*y + 17. Let g be h(-8). Let u = -32 - g. Is u prime? True Let j = -5 - -6. Suppose -3*a + 7 = j. Suppose -5 = d, -a*l + 293 = d - 0*d. Is l a prime number? True Let z(q) = q**2 + q - 1. Let j be z(-2). Let k be (-7)/(-2*j/66). Suppose -4*i = -i - k. Is i composite? True Is -4 - (-10)/2*423 prime? True Let k(z) = 333*z - 466 + 340*z + 463 + 149*z. Is k(3) composite? True Suppose o + 6811 = 5*k - 0*o, -2*o + 2734 = 2*k. Is k composite? True Let z = -885 + 4988. Is z a composite number? True Is 1 - ((-34200)/34 - 2/17) composite? True Let t(l) = 2*l**2 - 2*l - 10. Let i(d) = d + 9. Let x(k) = 3*i(k) + 2*t(k). Let f(a) = a**3 + 7*a**2 - 6. Let r be f(-7). Is x(r) composite? False Suppose 2*o = -0*o - 36. Is o/63 + (61478/14 - -2) prime? False Is (-203230)/60*3*
{ "pile_set_name": "DM Mathematics" }
6*p**3 - 1 to m*p**3 + c*p**2 + n + r*p and give m. -848 Rearrange (-2 + q + 2)*(-4 - 3 - 2)*(-5 - q**3 + 5) + (-5*q - q + 3*q)*(-q**3 + 3 - 3) to the form n*q**3 + t*q**2 + j + r*q**4 + k*q and give r. 12 Express (-8*t**3 + 3*t**3 + 0*t**3)*(89 + 0*t - 87 + 7*t) as o*t**3 + y*t**4 + m + h*t + d*t**2 and give y. -35 Express (4*u**2 + u**2 + 2*u**2)*(43*u**2 - 18*u**2 + 62*u**2) as j*u**4 + g + t*u**2 + k*u**3 + m*u and give j. 609 Express 5887*i**2 - 3 - 5876*i**2 + 4 as k*i**2 + z + t*i and give k. 11 Rearrange 381*q**2 + 204*q**2 - 3 - 61*q**2 + 2 + 714*q**2 to l*q**2 + i*q + j and give l. 1238 Rearrange 13*o**3 + 8*o + 23*o**3 + 20*o**3 - 99*o**3 + 12*o**3 to the form i*o**3 + k*o + u*o**2 + z and give k. 8 Rearrange -176*s**3 - 1 + 176*s**3 + 2*s**4 + 47*s**2 + s to g*s**4 + k + z*s**3 + y*s + a*s**2 and give y. 1 Express (3 + 4 - 2 + 0 - 2 - 4 + (13 - 21 - 14)*(3 - 1 - 3))*(-4*a + 3*a + 3*a) as r + q*a and give q. 42 Express -128*x + 95*x + 255*x + 218*x + 9*x in the form y + v*x and give y. 0 Express -v**4 + 73*v**3 + 67*v**3 - 142*v**3 + 7 - 8*v**2 as t*v**3 + h + u*v**2 + o*v + b*v**4 and give u. -8 Express (0*y**3 - y**3 + 7*y**3)*((6 - 3 - 1)*(-119 - 189 + 83) + 1 - 1 - 1) in the form a*y**3 + f + z*y + w*y**2 and give a. -2706 Rearrange -380*w - 1179*w + 296*w - 920*w to n*w + q and give n. -2183 Express (-845 - 1064 + 218)*(2*d**4 + 2*d - 2*d) as w + y*d**4 + v*d**2 + o*d**3 + s*d and give y. -3382 Express -1338*c + 2*c**4 + 1345*c + c**2 - 36 - 26 in the form k*c**4 + d + h*c**3 + l*c + u*c**2 and give l. 7 Rearrange 28*f + 5*f**2 - 28*f + (11*f**2 + 2*f**2 + 27*f**2)*(-1 + 2 - 3) - f**2 - f**2 + f**2 to the form p + l*f + s*f**2 and give s. -76 Express -f**3 + 47*f - 93*f + 48*f - 4 in the form a*f**2 + i*f**3 + p + m*f and give m. 2 Rearrange -97*c**3 + 0 + 0 + 39*c**2 - 89*c**3 + 184*c**3 to the form q + i*c + v*c**3 + j*c**2 and give i. 0 Express 29 - 18 + 8*d**3 - 10 - 15*d**2 as t*d + c + z*d**3 + n*d**2 and give c. 1 Rearrange 21*z - 972 + 47*z**3 - 22*z + 971 to o + n*z + i*z**2 + d*z**3 and give d. 47 Rearrange (-2 - 3*t + 2 + (1 + 0 + 1)*(3*t + 4*t - 3*t) + 4*t - 2 - 5*t + 2*t)*(1 + 3 - 2) to the form s*t + l and give s. 12 Rearrange -62*h**2 + 238*h**2 - 6*h + 6*h to n*h + s + d*h**2 and give d. 176 Express (-22 + 44 + 41)*(2*f**2 - 1 + 1) + f**2 + f**2 + 5*f**2 in the form j*f**2 + w*f + g and give j. 133 Express 43*b**2 + b - 17*b**2 - 52*b - 2*b**2 - 26*b**2 as k*b + c*b**2 + x and give k. -51 Rearrange -12*c + 7 - 11 + 4 + 619*c to the form a*c + g and give g. 0 Express 730*f**3 - 48*f**2 - 728*f**3 + 9 - 14 as p*f**2 + o*f**3 + j*f + i and give p. -48 Express -34*d**2 - 60*d**2 - 53*d**2 in the form z + r*d + t*d**2 and give t. -147 Express -1847 + 3757 - 1853 + z + 2*z**2 in the form v*z**2 + g + r*z and give v. 2 Rearrange 2 - 59*o + 6 + 1 + 1 + 2*o**2 - 14 to b*o + n*o**2 + u and give u. -4 Express (-21 - z + 12 + 11)*(1 + 2*z - 1)*(-9*z + 1 - 7 + 7) in the form i + v*z**3 + n*z + a*z**2 and give n. 4 Express 2*m**2 + 4*m**2 - 4*m**2 - 2*m**2 - 4*m**2 + 0*m**2 + (-1 + 1 - 2*m)*(-7*m + 13*m + m) + m**2 + 4*m**2 - 6*m**2 as j*m + p*m**2 + o and give p. -19 Rearrange 254*t**4 - 609*t**4 - 117*t**4 - 400*t**4 + (0*t + 0*t - 2*t**4)*(-5 - 1 + 4) to v*t**2 + o + c*t**3 + l*t + p*t**4 and give p. -868 Express (0 - 2 + 0 + (0 + 1 + 1)*(-2 + 3 + 0) + 19 - 9 - 12)*(8*r + 10 - 10) as u*r + z and give u. -16 Rearrange 15*i**2 + 25*i**2 + 16*i**2 - 43*i**2 + 19*i to the form w + g*i + t*i**2 and give g. 19 Rearrange (-2 - 6 + 4)*(24*o**2 - 31*o + 31*o)*(3 - 2 + 2) to the form u*o**2 + m*o + k and give m. 0 Rearrange -64*s - 66*s + 137*s - 27 + 5 to the form a + h*s and give a. -22 Rearrange 43*b + 49*b - 90*b + 1 - 4*b**3 to c*b**3 + p + w*b**2 + n*b and give c. -4 Express 770*a**4 + a**2 - 2*a - 2*a**3 - 1541*a**4 + 772*a**4 in the form i*a + s*a**4 + m + y*a**3 + v*a**2 and give v. 1 Express 2*x - 2*x - 2*x**2 + (0*x - 3*x + x)*(5*x - 2*x - 2*x) + 3*x**2 - 3*x**2 + x**2 + 17 - 110*x**2 - 4 - 12 as t*x + a + c*x**2 and give a. 1 Rearrange 9*y + 666*y**2 - 2 - 665*y**2 + 3 + (-4*y - 2*y + y)*(4*y - 2*y - 4*y) to n*y + g + c*y**2 and give c. 11 Express (l + l + 3*l)*(-42 - 17 + 15)*(0 + 4 - 1) as n*l + u and give n. -660 Rearrange -2 - 74*m + 142*m - 73*m to the form u + j*m and give u. -2 Express -1197 + 247*k**2 + 1197 in the form p + j*k + r*k**2 and give r. 247 Rearrange -692*s**2 + 654*s**2 + 349*s**2 to i*s + j*s**2 + u and give j. 311 Express 4*z**2 - z**3 - 162*z + 345*z - z**2 - 166*z - 7*z**2 as x*z + w*z**2 + r + h*z**3 and give x. 17 Express 2459*z**2 + z + 61 + 3*z**3 - 2459*z**2 + 77 in the form x*z + y*z**3 + p + l*z**2 and give p. 138 Rearrange (-2*t**2 + 4*t**2 + 1 + 1)*((1 - 1 - 2)*(3 - 16 - 4) - 1 - 2 + 1) to the form j*t + m + u*t**2 and give u. 64 Express -33*g - 33*g - 123*g as p*g + v and give p. -189 Rearrange (4 - 4 - 1 + 0 + 4)*(-11*d**2 - 4*d**2 + 0*d**2) to v + f*d + t*d**2 and give t. -45 Express -95018 + 95018 + 210*i as l + v*i and give v. 210 Rearrange 5*b**2 + b**2 - 4*b**2 - b**2 + b**2 - b**2 + (-3 - 2*b + 3)*(-4*b + 10 - 10) - b**2 + 0*b**2 + 2*b**2 to the form x*b**2 + t + k*b and give x. 10 Express -29*q - 87*q + 225*q + 169*q in the form s + j*q and give j. 278 Express -117 + 60 + 2*b**3 + 62 + 2*b**4 + 8*b**2 in the form q*b**3 + y + o*b**2 + w*b + r*b**4 and give o. 8 Rearrange 142*s - 51*s - 23*s + 224*s to d*s + x and give d. 292 Rearrange -8*f - 2*f + 13*f - 154 - 5*f to n*f + l and give n. -2 Express (1 + 4 + 0)*(-16*f**4 - 4*f**4 - 27*f**4) as o*f**2 + q*f**3 + v + y*f**4 + l*f and give y. -235 Express (1 + 3 - 3)*(-857749 + 816*l**3 + 857749) + 1 - 2*l**3 - 1 as q*l**2 + u*l**3 + n*l + p and give u. 814 Rearrange -3*m - 53*m**4 + m**2 + 34*m**4 + 32*m**4 - m**3 to x*m**3 + f*m**4 + d + j*m + h*m**2 and give x. -1 Express 328 - 328 + 63*w in the form y*w + o and give y. 63 Rearrange (4*a - 4*a + 2*a)*(-285 + 5613*a - 14754*a + 285) to h*a**2 + z*a + l and give h. -18282 Rearrange -1 + 1 - 8 + 8 - 1610*w to f + i*w and give i. -1610 Express (-1 + 2 + 0)*(0*b - 5*b + 4*b) - b - b + 0*b - 4 + 4 + b - 60 + 60 - 41*b as i*b + y and give i. -43 Rearrange -139*n**2 - 322*n**2 - 38*n + 38*n to the form k + m*n**2 + u*n and give m. -461 Rearrange -5*v**2 + 3*v**2 - 6*v**4 + v**2 - 2*v**3 - v**2 - 13*v + 4*v**4 to the form a*v**3 + u*v**2 + z + w*v**4 + s*v and give a. -2 Rearrange -11*g + 3*g - 12*g**4 - 3*g**2 - 2 + 17*g**4 to m*g**2 + r + o*g + i*g**4 + j*g**3 and give m. -3 Express l + 7*l**3 - 6*l**2 - 2 + 0*l**2 + 9*l**2 as c + t*l**2 + w*l**3 + a*l and give t. 3 Rearrange (-6*z + 2*z + 3*z)*(6*z**2 - 2*z**2 - z**2) - 194*z**3 + 219096*z**2 - 219096*z**2 to the form u*z**2 + h*z + i + m*z**3 and give m. -197 Rearrange (4 - 3 + 0)*(-45*b - 335 + 49*b + 438) to j + v*b and give v. 4 Express (2 - 4*t - t + 2*t)*(2 - 2 - 3 + (-1 + 4 - 5)*(0 + 3 - 6) + (-1 - 3 + 5)*(-1 + 0 + 2)) in the form f + v*t and give f. 8 Express -2*a - 3*a**3 - 2 + 4*a - 2*a**3 in the form o*a + m + c*a**2 + r*a**3 and give r. -5 Express (-74 + 130 + 155 + 17)*(-21*u + 10*u**4 + 21*u) in the form f*u + s*u**4 + w*u**2 + i*u**3 + d and give w. 0 Rearrange 2*s + 4*s + 3*s + (-2*s + 4 - 4)*(5 - 4 + 1) + 2*s - 2*s - s to the form h + f*s and give f. 4 Express -58*r - 224*r**2 - 58*r + 116*r - 386*r**2 as m + l*r + a*r**2 and give a. -610 Express (801*v + 66*v + 497*v + 16*v)*(0*v - v + 3*v) in the form s + b*v**2 + f*v and give s. 0 Express 0*p - 3*p + 632*p**2 + 4*p - 11*p**2 - 2*p as d + i*p**2 + s*p and give i. 621 Rearrange (3*v**3 + v**3 - 3*v**3)*(-97 + 332 + 94) to the form s + k*v + m*v**2 + l*v**3 and give s. 0 Express 0*x + 0*x + x + (-4 + 0 + 2)*(0 - x + 0) + 733*x - 5760*x - 1562*x - 1524*x in the form t + m*x and give m. -8110 Express -23 - r + 28 + 6 as v*r + p and give p. 11 Express -127 - 222 + 722 + 2*k as i + o*k and give i. 373 Rearrange 6 - 49*v + 2*v**2 + 21*v + 25*v to i + l*v + b*v**2 and give i. 6 Express -6*v - 13*v**3 + v**4 - 3*v + 4*v in the form s*v**2 + g*v**4 + a*v**3 + p + j*v and give a. -13 Rearrange (-v + 2*v + v)*(37 - v - 37 - 5*v**2)*(6 - 15 - 15) to the form t*v + f*v**2 + b + j*v**3 and give j. 240 Rearrange 26 - 59 - 5*o + 10*o - 39 + 9 to f*o + v and give v. -63 Rearrange
{ "pile_set_name": "DM Mathematics" }
z + 12. Let d(h) = -5*u(h) + 12*w(h). Determine g, given that d(g) = 0. -2, 0 Let g(x) be the third derivative of -x**5/100 + x**4/40 + x**3/5 + 15*x**2. Let g(v) = 0. Calculate v. -1, 2 Factor 3/7*h**3 + 0 + 6/7*h**2 + 3/7*h. 3*h*(h + 1)**2/7 Let o(c) be the first derivative of -c**4/10 + 4*c**3/15 - 4. Suppose o(q) = 0. What is q? 0, 2 Let t be (3 - (-34)/(-12))*6/2. Let f = 2 - 2. Factor -t*z**3 + z**2 - 1/2*z + f. -z*(z - 1)**2/2 Suppose 0 = -4*g + 25 - 9. Let x(y) be the second derivative of 0*y**g + 1/80*y**5 + 0*y**3 + 0*y**2 + 0 + 1/120*y**6 - y. Find v such that x(v) = 0. -1, 0 Let m(p) be the first derivative of 3*p**4/8 - p**3/2 - 3*p**2/2 + 8. Solve m(d) = 0. -1, 0, 2 Let r be (-2517)/630 + 12/3. Let k(j) be the third derivative of 0 + 1/3*j**4 + 1/20*j**6 - r*j**7 - 1/5*j**5 + 0*j**3 - j**2 + 0*j. Factor k(h). -h*(h - 2)**3 Factor -21 - 5*r**3 + 21 + 3*r**2 + 4*r**3 - 2*r. -r*(r - 2)*(r - 1) Let b be -2 + (-12)/(3 + -5). Let q be 5 + (b + -1)*-1. Let -3*i**2 + i + 1 + i**q - i**3 + 2*i**4 - 1 = 0. Calculate i. -1, 0, 1/2, 1 Let u(x) = x**2 - x + 1. Let m(g) = 10*g**3 + 20*g**2 - 2*g. Let a(o) = m(o) - 4*u(o). Factor a(b). 2*(b + 1)**2*(5*b - 2) Factor -3 + 2*j - 1/3*j**2. -(j - 3)**2/3 Let 45*h**2 - 5*h**4 + 5*h**3 - 108 - 256*h**5 + 505*h**5 - 250*h**5 = 0. What is h? -3, 2 Let z = -87 - -92. Factor 2/5*d**z + 4*d**3 + 2*d**4 + 4*d**2 + 2/5 + 2*d. 2*(d + 1)**5/5 Let n(z) be the first derivative of -z**5/30 - 6*z + 4. Let b(u) be the first derivative of n(u). Solve b(a) = 0. 0 Let g(w) be the first derivative of -w**8/5040 + w**7/1260 + 2*w**3/3 - 2. Let f(q) be the third derivative of g(q). Factor f(k). -k**3*(k - 2)/3 Let x(v) be the first derivative of -v**7/420 + v**5/20 + v**4/6 + 4*v**3/3 - 1. Let z(k) be the third derivative of x(k). Factor z(m). -2*(m - 2)*(m + 1)**2 Let v(b) be the first derivative of -2*b**3/9 - 8*b**2/9 - 8*b/9 + 11. What is c in v(c) = 0? -2, -2/3 Let g(h) be the first derivative of 0*h + 1/13*h**2 + 2/13*h**3 - 1/26*h**4 - 5 - 6/65*h**5. Solve g(m) = 0. -1, -1/3, 0, 1 Let n = -48 - -961/20. Let g(l) be the second derivative of 0*l**2 + 0 - 1/6*l**3 + 1/30*l**6 + 2*l + n*l**5 - 1/12*l**4. Suppose g(c) = 0. Calculate c. -1, 0, 1 Factor -37*n + 39*n + 2*n**2 + 0*n**2. 2*n*(n + 1) Let d(q) be the second derivative of 0*q**2 - 1/28*q**7 + 1/5*q**6 + 1/2*q**4 - 1/4*q**3 - 9/20*q**5 + 3*q + 0. Factor d(r). -3*r*(r - 1)**4/2 Let g be 8/5 + (-4)/(-10). Find l, given that 19*l + l**3 - 2*l**g + 23*l - l**5 - 42*l + 2*l**4 = 0. -1, 0, 1, 2 Let r(x) be the first derivative of -25*x**6/6 + 3*x**5 + 35*x**4/4 - 5*x**3 - 5*x**2 + 25. Solve r(a) = 0 for a. -1, -2/5, 0, 1 Let o = -22 + 52. Suppose -5*m + o - 10 = v, m + v = 0. Factor 2*i + 1 + m - 3*i**2 - 4 - i. -(i - 1)*(3*i + 2) Let m(r) be the third derivative of r**8/42 - 2*r**7/21 + r**5/3 - r**4/3 + 4*r**2. Suppose m(v) = 0. What is v? -1, 0, 1/2, 1, 2 Let g be 2/(-5) + (-1528)/960 - -2. Let y(d) be the third derivative of 0*d + g*d**6 + 0 + 0*d**3 + 0*d**5 - 1/24*d**4 - d**2. Find w such that y(w) = 0. -1, 0, 1 Let p(m) be the second derivative of -2*m**6/75 - 3*m**5/25 + m**4/15 + 2*m**3/5 + m. Factor p(a). -4*a*(a - 1)*(a + 1)*(a + 3)/5 Let t = 6 - 4. Suppose -m - t*m = 5*v - 24, m = -v + 6. Factor 2*r**3 - m + 4 + 2*r**4 - 2 - r + 2*r**2 - r**5 - 3*r**4. -(r - 1)**2*(r + 1)**3 Let j(k) be the second derivative of k**7/14 - 3*k**5/20 - 3*k. Suppose j(o) = 0. What is o? -1, 0, 1 Let r be (-8)/30*(-15)/40. Let u(w) be the first derivative of r*w**4 + 2/15*w**3 - 2/25*w**5 - 1/5*w**2 - 2 + 0*w. Solve u(q) = 0 for q. -1, 0, 1 Factor 5*k**4 + 2*k + 5*k**5 - 10*k**3 - 21*k**2 + 3*k + 11*k**2 + 5. 5*(k - 1)**2*(k + 1)**3 Let y(m) = 4*m**3 - 16*m**2 + 14*m - 6. Let o(j) = 19*j**3 - 80*j**2 + 70*j - 31. Let w(l) = -2*o(l) + 11*y(l). Suppose w(q) = 0. What is q? 2/3, 1 Let p = 1841/180 - 51/5. Let s(l) be the third derivative of 1/18*l**3 + 0 - l**2 + 1/180*l**5 + p*l**4 + 0*l. Factor s(h). (h + 1)**2/3 Suppose -5*b = 4 - 19. Find k such that b*k**2 - k**3 + 0*k - 3*k + 0 + 1 = 0. 1 Suppose -d = -5*d - 4*d. Factor 0*s - 3/4*s**2 + d. -3*s**2/4 Let o(d) = -2*d**4 - 5*d**3 - 11*d**2 - 3*d. Let g(j) = j**3 - j**2 - j. Let k(y) = 6*g(y) - 2*o(y). Let k(b) = 0. Calculate b. -2, 0 Let o(p) be the second derivative of p**7/210 - p**6/50 + p**5/50 + p**4/30 - p**3/10 + p**2/10 + 28*p. Suppose o(b) = 0. What is b? -1, 1 Let u be 6/42*(-3 + 28/4). Factor u*l**4 - 4/7*l**2 + 0 + 2/7*l + 0*l**3 - 2/7*l**5. -2*l*(l - 1)**3*(l + 1)/7 Let t = 493/10 + -199/5. Suppose 15/2*y**2 - 1 - t*y**3 + 7/2*y**4 - 1/2*y = 0. Calculate y. -2/7, 1 Let g = -35 + 73/2. Factor g*j - 5/2*j**2 + 1. -(j - 1)*(5*j + 2)/2 What is v in 2/9*v**5 + 0*v**2 - 4/9*v**3 + 0*v**4 + 2/9*v + 0 = 0? -1, 0, 1 Let t(m) be the second derivative of -m**7/840 + m**6/180 + m**3/6 + 2*m. Let w(f) be the second derivative of t(f). Factor w(z). -z**2*(z - 2) Let z = -1138/15 - -76. Let d(k) be the first derivative of 0*k + 1 + 0*k**2 + 2/9*k**3 + z*k**5 + 1/3*k**4. Find r, given that d(r) = 0. -1, 0 Solve 0 - 4/13*d + 2/13*d**2 = 0 for d. 0, 2 Let x(v) be the second derivative of -v**5/20 - v**4/6 - v**3/6 - v. Determine t, given that x(t) = 0. -1, 0 Let k(n) = -n**2 - 6*n - 4. Let b be k(-4). Factor -75*g**2 + 74*g**2 + 0*g - g**b + 2*g**3 + 0*g. -g**2*(g - 1)**2 Suppose -5*v + 31 = -2*o, -2*v - 6 = -16. Let p be (o/6)/(1/(-6)). Let -2 + 0*k - 9*k**2 - k**4 + 3*k**3 + 0*k**4 + 7*k + 2*k**p = 0. Calculate k. 1, 2 Let b(v) = v**2 - v + 1. Let x(f) = 3*f**2 - 2*f + 3. Suppose -q = -2*q + 8. Let g(i) = q*b(i) - 3*x(i). Determine n so that g(n) = 0. -1 Let w = -2 + 5. Determine y so that -y**w + 5*y + 0*y**3 + y**4 - y - y**2 - 3*y = 0. -1, 0, 1 Suppose 5*m - 16 = -y + 24, 5*y + m - 224 = 0. Suppose -x + 6*x = y. Factor -9*q - 2*q**4 - 8*q**3 - 8*q**2 + x*q. -2*q**2*(q + 2)**2 Let v(l) be the third derivative of -l**5/15 - l**4/6 + 4*l**3/3 + 2*l**2. Let v(w) = 0. Calculate w. -2, 1 Suppose 4/7*j**3 + 4/7*j**4 - 2/7*j - 8/7*j**2 + 4/7 - 2/7*j**5 = 0. Calculate j. -1, 1, 2 Let r(t) be the second derivative of -t**4/84 + t**3/21 + 3*t**2/14 - 9*t. Factor r(z). -(z - 3)*(z + 1)/7 Let a(n) = -11*n**2 - 16*n. Let l be 12/10 - 10/50. Let f(c) = -c**2 + 1. Let o(d) = l*a(d) - 4*f(d). Factor o(h). -(h + 2)*(7*h + 2) Suppose 2*u + 2 = -4*t + 6, -5*t + 8 = 4*u. Factor -4*n + 2 - n**2 + 5*n + t*n. -(n - 2)*(n + 1) Let d(c) be the third derivative of -c**5/12 + 10*c**3/3 - 22*c**2 - 2. Solve d(s) = 0 for s. -2, 2 Let t(b) be the second derivative of 0 - 2*b - 1/18*b**4 + 4/9*b**3 - 4/3*b**2. Suppose t(k) = 0. Calculate k. 2 Let r(t) be the first derivative of -2*t**3/9 + 4*t**2/3 - 2*t - 76. Factor r(i). -2*(i - 3)*(i - 1)/3 Suppose 2*d + 8 = u, -5*d - 11 = 2*u - 0*u. Solve 2*v**4 + 2*v - 2*v**2 + 5 - 5 - u*v**3 = 0. -1, 0, 1 Let t = -222031/78 + 2847. Let p = t + 2/39. Find f such that -p*f**2 - 1/2 - f = 0. -1 Let f(p) be the first derivative of -p**3/9 - 10*p**2/3 - 100*p/3 + 28. Factor f(z). -(z + 10)**2/3 Let r = 14 + -10. Suppose -2*f - u = -0*u - 4, u - r = 3*f. Factor f + 1/2*s**2 + 1/2*s. s*(s + 1)/2 Let j(r) be the third derivative of -r**11/665280 + r**10/302400 + r**5/12 + 2*r**2. Let s(h) be the third derivative of j(h). What is o in s(o) = 0? 0, 1 Let g = 21 + -19. Factor 0 - 1 - d**2 + 0*d**g + 2. -(d - 1)*(d + 1) Let y(v) = v**3 + 6*v**2 + 3*v - 6. Let j be y(-5). Factor -6 - 2*n**2 + 2*n**3 + 2*n**j + 6 - 2*n + 0. 2*n*(n - 1)*(n + 1)**2 Let g be (34/(-119))/((-6)/28). Find y such that g*y**5 - 1/3*y + 4/3*y**4 - 4/3*y**2 + 0 - y**3 = 0. -1, -1/2, 0, 1 Let o(r) be the third derivative of -r**5/300 - r**4/30 - 2*r**3/15 + 20*r**2. Find k, given that o(k) = 0. -2 Factor 1/2*t**3 + 0 - 3/2*t**2 + 3/2*t**4 - t + 1/2*t**5. t*(t - 1)*(t + 1)**2*(t + 2)/2 Let f = -11 + 9. Let t(u) = -u**4 + u**3 + u**2 - u. Let w(v) = -3*v**4 + 2*v**2 + 1. Let c(a) = f*t(a) + w(a). Factor c(o). -(o - 1)*(o + 1)**3 Let u(q) = -6*q**5 + 3*q**3 - 3*q**2. Let c(a) = 7*a**5 + a**4 - 3*a**3 + 3*a**2. Let h(y) = -3*c(y) - 4*u(y). Factor h(m). 3*m**2*(m - 1)**2*(m + 1) Let j = 2 + 4. Suppose 5*g - 4 = j. Factor 5*x - 5*x + 3*x - 7*x**2 - g + 6*x. -(x - 1)*(7*x - 2) Let g(i) be the third derivative of 0 - 1/10*i**6 - 1/168*i**8 - 5*i**2 + 2/15*i**5 +
{ "pile_set_name": "DM Mathematics" }
*sqrt(19) Simplify (0 + sqrt(175))**2 + -1*sqrt(700) + -1. -10*sqrt(7) + 174 Simplify (sqrt(114)/(sqrt(24)/sqrt(4)))**2 - (-1*sqrt(19) + -2). sqrt(19) + 21 Simplify (sqrt(143)*2)/sqrt(11)*3 + 3. 3 + 6*sqrt(13) Simplify sqrt(95)/(2*sqrt(180)). sqrt(19)/12 Simplify (sqrt(55) + sqrt(1375)*-1 + sqrt(1375))/sqrt(11). sqrt(5) Simplify (((sqrt(114) - (sqrt(114) - (1*sqrt(114) - sqrt(114))))*-6 + sqrt(114) - sqrt(114) - sqrt(114))/(sqrt(6) + sqrt(18)/sqrt(3)*-6))**2. 19/25 Simplify sqrt(12)/sqrt(64) + (-2 + sqrt(3))*-2. -7*sqrt(3)/4 + 4 Simplify 1*sqrt(19)*2 + 6*sqrt(475). 32*sqrt(19) Simplify (2*sqrt(102)*-1 - sqrt(102))/(sqrt(6) + sqrt(108)/sqrt(2)). -3*sqrt(17)/4 Simplify -6*3*sqrt(17)*-2. 36*sqrt(17) Simplify -3 + 3 + sqrt(1377)*-2 + -5. -18*sqrt(17) - 5 Simplify (sqrt(125)*-1 + sqrt(125) + -2 - sqrt(125))**2. 20*sqrt(5) + 129 Simplify sqrt(8)/(sqrt(4) + sqrt(64) + sqrt(64) + (sqrt(64) - sqrt(64)*2 - sqrt(64))). sqrt(2) Simplify (sqrt(50)*4*5)/sqrt(10). 20*sqrt(5) Simplify -2*(sqrt(153) + -3). -6*sqrt(17) + 6 Simplify -3*((sqrt(500)/sqrt(10)*-5)/sqrt(10))**2. -375 Simplify (5 + sqrt(117)/(sqrt(18)/sqrt(2)*-6)*3)**2. -5*sqrt(13) + 113/4 Simplify -2 + (sqrt(245) + -2)**2. -28*sqrt(5) + 247 Simplify 5 + 6*(sqrt(3) - (sqrt(27) + sqrt(3))**2). -283 + 6*sqrt(3) Simplify (2*sqrt(28)*2)**2. 448 Simplify -5 + ((sqrt(156)*1*-1)/(sqrt(120)/(sqrt(20)/sqrt(2))))**2. 8 Simplify ((1*sqrt(1300) - sqrt(1300))*6)**2 + sqrt(1300). 10*sqrt(13) Simplify sqrt(98)*-2 + -4 + 6*-1*sqrt(98). -56*sqrt(2) - 4 Simplify 5 + -1 + (sqrt(84)/sqrt(12))**2 + -3. 8 Simplify (sqrt(114)/(sqrt(6)*-1) + ((-2*sqrt(38)/sqrt(2))**2 - sqrt(19)))*1. -2*sqrt(19) + 76 Simplify ((sqrt(19) - (sqrt(19) + sqrt(19) + sqrt(171) - sqrt(19))) + sqrt(19) + 2 - sqrt(19) - (sqrt(931) - (sqrt(931) + -1)) - (4 + sqrt(38)/sqrt(2) + 3))**2. 48*sqrt(19) + 340 Simplify (sqrt(60)/sqrt(5) - sqrt(12))/sqrt(6)*-4. 0 Simplify (3*sqrt(78)/(sqrt(24)*-2))**2. 117/16 Simplify -3*(sqrt(5) + (3 + sqrt(5) + 4 - sqrt(5)) + sqrt(5) + sqrt(5)). -21 - 9*sqrt(5) Simplify (0 + sqrt(30)/(-2*sqrt(6)))**2*-5. -25/4 Simplify 3*sqrt(33)/(sqrt(12)/(-2*sqrt(4) + sqrt(4))). -3*sqrt(11) Simplify (-3*sqrt(75))**2*5. 3375 Simplify 5 + ((sqrt(13) - (0 + sqrt(637)))*1)**2. 473 Simplify (sqrt(5) - (sqrt(45) + 2) - sqrt(5)) + -4. -3*sqrt(5) - 6 Simplify -1*(sqrt(11) + (sqrt(77) - 3*sqrt(77))/sqrt(7) + sqrt(11))*-1. 0 Simplify sqrt(132)/(sqrt(6)/sqrt(2)). 2*sqrt(11) Simplify sqrt(11)*-1*4 + sqrt(110)/(sqrt(30)/sqrt(3)). -3*sqrt(11) Simplify -2 + 2*(sqrt(2) + -1)**2. -4*sqrt(2) + 4 Simplify (5 + sqrt(132)/sqrt(12) + (sqrt(11) + 4)*-4)**2. 66*sqrt(11) + 220 Simplify -1 + sqrt(756)/(sqrt(12) + (sqrt(72)/sqrt(6) - sqrt(12))). -1 + 3*sqrt(7) Simplify 1*(sqrt(13) + (sqrt(13) + 0)**2) + 5. sqrt(13) + 18 Simplify (sqrt(208)*-1 + -5 + sqrt(208))**2 - sqrt(156)/sqrt(192)*-2. sqrt(13)/2 + 25 Simplify (-1*sqrt(600) + sqrt(6))/(sqrt(9)/sqrt(3)*6). -3*sqrt(2)/2 Simplify (5 + (-2 + sqrt(1872) - sqrt(1872)))**2. 9 Simplify (1 + sqrt(98))*-6 + -2. -42*sqrt(2) - 8 Simplify 4*((sqrt(76) + (sqrt(76) + 3 - sqrt(76)))**2 - (-3 + sqrt(19) - sqrt(19))**2*-3). 48*sqrt(19) + 448 Simplify (0 + sqrt(605))**2 + 4 - (-1 + sqrt(605) + 5). -11*sqrt(5) + 605 Simplify (-1*-2*sqrt(539))**2 + 5. 2161 Simplify sqrt(34)/(sqrt(18)/(sqrt(18)/sqrt(2))). sqrt(17) Simplify sqrt(1300) + sqrt(1300)*-1 + -3. -3 Simplify 1 + -5*sqrt(1584)*2. -120*sqrt(11) + 1 Simplify 4 + 5 + sqrt(42)/sqrt(6). sqrt(7) + 9 Simplify (sqrt(84)/(sqrt(16)/sqrt(8)))/sqrt(6). sqrt(7) Simplify 2 + ((sqrt(36) - 1*sqrt(36))/sqrt(12))**2. 2 Simplify (sqrt(26)/sqrt(2) + -4)**2 - (2*sqrt(130) - sqrt(130))/sqrt(10). -9*sqrt(13) + 29 Simplify (-4 + -3 + sqrt(7)*-1)**2*-2 + 5. -107 - 28*sqrt(7) Simplify (-3 + (sqrt(1008)*-1 - sqrt(1008)) + 0)**2. 144*sqrt(7) + 4041 Simplify (sqrt(440) + sqrt(440)*1)/sqrt(10). 4*sqrt(11) Simplify ((sqrt(6) - (sqrt(6) + sqrt(18)/sqrt(3)*4 - sqrt(6)))/sqrt(3) - ((sqrt(96)*-2)/sqrt(8) - sqrt(12))/sqrt(6))**2. 0 Simplify ((sqrt(99) - (1*sqrt(99) - sqrt(99)))/sqrt(3))/(-2*sqrt(12)). -sqrt(11)/4 Simplify (sqrt(16)*-2*2 - sqrt(16))/sqrt(8) - ((sqrt(2) + 1)*-1 + 3). -4*sqrt(2) - 2 Simplify 3*sqrt(21)/sqrt(3)*5. 15*sqrt(7) Simplify 5*(sqrt(7) + 1) + sqrt(42)/sqrt(6) + 4. 9 + 6*sqrt(7) Simplify sqrt(132)/(-6*sqrt(72)/sqrt(6) + sqrt(12)). -sqrt(11)/5 Simplify (sqrt(77)*-2*1 - sqrt(77))/(sqrt(1584) + sqrt(1584)*2) + -5. -5 - sqrt(7)/12 Simplify (-1 + sqrt(2057) + 1)**2 - (sqrt(2057) - (-3 + -2*sqrt(2057))**2). 121*sqrt(17) + 10294 Simplify (3*(0 + sqrt(32)))**2. 288 Simplify 0 + -1*6*sqrt(95)/sqrt(5). -6*sqrt(19) Simplify (2 + sqrt(7) + 0 + -1 + (0 + 0 + sqrt(7) - 2*(sqrt(7) + -1 - sqrt(7))))**2. 12*sqrt(7) + 37 Simplify -1*sqrt(684) + -5. -6*sqrt(19) - 5 Simplify 5*(sqrt(2) + -1 + 5 - (sqrt(4)/(1*sqrt(2)))**2). 5*sqrt(2) + 10 Simplify (sqrt(75) + -1 - sqrt(75))**2 + 1 + sqrt(48). 2 + 4*sqrt(3) Simplify (5*-2*sqrt(24))/(sqrt(400)/sqrt(2)). -2*sqrt(3) Simplify sqrt(33)/sqrt(3)*-3*5. -15*sqrt(11) Simplify 5*sqrt(78)/((sqrt(66) + (sqrt(66) + sqrt(66)*4 - sqrt(66)))/sqrt(11)). sqrt(13) Simplify (sqrt(95) + sqrt(95) + sqrt(95)*3)/sqrt(5) + (sqrt(1539) + 3)**2. 59*sqrt(19) + 1548 Simplify (sqrt(77)/(1*sqrt(567)))**2 + (0 + sqrt(176))*5. 11/81 + 20*sqrt(11) Simplify (-5 + 5 + 1 + sqrt(475) + 1)**2. 20*sqrt(19) + 479 Simplify ((sqrt(70) - (sqrt(70) + sqrt(70)*-2))/sqrt(5))/(sqrt(175) + (sqrt(175)*-2 - sqrt(175))). -sqrt(2)/5 Simplify (1*sqrt(64))/(-3*sqrt(32) + sqrt(8)). -2*sqrt(2)/5 Simplify -5 + (-2 + sqrt(363) + 5 - sqrt(363)). -2 Simplify (0 + sqrt(98) + 2)**2. 28*sqrt(2) + 102 Simplify 5 + (sqrt(128))**2. 133 Simplify 3 + (sqrt(2448) + -1)*4. -1 + 48*sqrt(17) Simplify (3*sqrt(144))/sqrt(3). 12*sqrt(3) Simplify (2*sqrt(192) + sqrt(192) + 1 + sqrt(12)/sqrt(4))**2. 50*sqrt(3) + 1876 Simplify 0 + sqrt(1700) + 4. 4 + 10*sqrt(17) Simplify (sqrt(119) - -1*(sqrt(119) + 2*sqrt(119)) - sqrt(119))/(sqrt(7) + sqrt(28)/sqrt(4)*-2). -3*sqrt(17) Simplify 3 + ((sqrt(252) - (sqrt(252)*1 - sqrt(252))**2)*6 - (sqrt(252) - (1 + sqrt(252) - sqrt(252)))**2*-2). 12*sqrt(7) + 509 Simplify ((sqrt(20)*-1)**2 - (sqrt(5) + 2*sqrt(45))) + (sqrt(720) - 2*(-1 + sqrt(720)) - sqrt(720)). -31*sqrt(5) + 22 Simplify (0 + sqrt(1377) + -3*sqrt(153))**2. 0 Simplify 4*(-1 + sqrt(931)). -4 + 28*sqrt(19) Simplify (sqrt(30) + sqrt(120)*2 - sqrt(30))/(6*sqrt(160)). sqrt(3)/6 Simplify sqrt(156)/((sqrt(72)*-1)/sqrt(6)). -sqrt(13) Simplify -5 + -2*sqrt(1100) + 3. -20*sqrt(11) - 2 Simplify -5*((0 + sqrt(567))*-6)**2. -102060 Simplify -5 + sqrt(42)/sqrt(54). -5 + sqrt(7)/3 Simplify (sqrt(40)/sqrt(4))/sqrt(2) + (sqrt(60) - sqrt(15))/sqrt(3). 2*sqrt(5) Simplify ((sqrt(64) - sqrt(64)*-1) + sqrt(4))/sqrt(2). 9*sqrt(2) Simplify ((sqrt(88)*-2)/sqrt(4) + sqrt(22))/sqrt(11). -sqrt(2) Simplify -3*sqrt(39)/sqrt(3) - ((sqrt(39)*1)/sqrt(3))**2. -13 - 3*sqrt(13) Simplify (sqrt(147) + -2)*2 - sqrt(147). -4 + 7*sqrt(3) Simplify sqrt(1539) + 1 + 5 + ((sqrt(1539)*-1)**2 + sqrt(1539))*1. 18*sqrt(19) + 1545 Simplify (sqrt(40)/(sqrt(100) - sqrt(4)))/(sqrt(720)*2 - sqrt(720) - sqrt(720) - sqrt(5)). -sqrt(2)/4 Simplify (5*(sqrt(833) + (sqrt(833)*-1*2 - sqrt(833)))*1)**2. 83300 Simplify (sqrt(325) - (1 + sqrt(325))**2) + 4. -322 - 5*sqrt(13) Simplify 4*(sqrt(17) - (3 + sqrt(17)*-2))*-1 + 0. -12*sqrt(17) + 12 Simplify (6*sqrt(15)*-2)/(sqrt(3)*1*4). -3*sqrt(5) Simplify ((2*sqrt(5))**2 + 3)*4. 92 Simplify (sqrt(243) - (1 + sqrt(243) + 0)) + (sqrt(243) + ((sqrt(243) + 1)*-2 - sqrt(243)))**2 + sqrt(243). 81*sqrt(3) + 975 Simplify sqrt(343)*6 + 0. 42*sqrt(7) Simplify ((1*sqrt(117) + sqrt(117))/sqrt(9)*1)**2 + (sqrt(26)/(sqrt(4)/sqrt(2)) - (1 + sqrt(13)*1)). 51 Simplify (-1*sqrt(576) - sqrt(36))/((sqrt(120)*-1 - sqrt(120))/sqrt(10)). 5*sqrt(3)/2 Simplify ((1*sqrt(99)*-1 - sqrt(99)) + 0)**2. 396 Simplify 1 + (3*sqrt(833))**2 + sqrt(833) + -3. 7*sqrt(17) + 7495 Simplify (sqrt(704)*-5)**2 + 3*sqrt(44). 6*sqrt(11) + 17600 Simplify (-2 + sqrt(432) + sqrt(432))**2. -96*sqrt(3) + 1732 Simplify (sqrt(539) + sqrt(539)*-2)*3*3. -63*sqrt(11) Simplify -6*(sqrt(175) + sqrt(175)*2)**2. -9450 Simplify ((sqrt(154) + 2*sqrt(154))/sqrt(7))/(sqrt(396) + -1*sqrt(396) - sqrt(396)). -sqrt(2)/2 Simplify (2*sqrt(11)*-5 + -2)*-1. 2 + 10*sqrt(11) Simplify (sqrt(612) + -1 - (sqrt(187)*1 + sqrt(187))/sqr
{ "pile_set_name": "DM Mathematics" }
llest common multiple of p(-5) and c(-5)? 7 Suppose -12147 = -30*w + 13923. What is the least common multiple of 10 and w? 8690 Calculate the common denominator of 61/10 and (-242)/48*15*1/(-50). 80 Let p = 241546433/268 - 901302. Let k = -6/67 - p. Calculate the common denominator of (2/(-6))/(150/(-2790)) and k. 20 Let s = -380 - -576. What is the lowest common multiple of s and 308? 2156 Let h = -1359069/25135 + -13902/457. Let k = -799/10 - h. Find the common denominator of (-4 - (-1116)/448) + (-3)/7 and k. 176 Let x = 49 + -47. What is the lowest common multiple of x and 11? 22 Suppose 2*k = -b + 18, -2*b - 9 = -k + 5. What is the smallest common multiple of k and 38? 190 What is the common denominator of 157/132 and 12/300*5 + (-232)/(-990)? 396 Let a = 15 - -41. Let v = -756 + 806. Calculate the least common multiple of a/10 + (-4)/(-10) and v. 150 Suppose h = 2*u - 7, -5*h - 10 - 45 = -5*u. Calculate the common denominator of -99/40 and ((-12)/h + (-87)/90)*139. 120 Let q = 3332 - 20123/6. Calculate the common denominator of 772/(-24) - -4 - -3 and q. 6 Suppose -3*k - 5*k = -2*k. Calculate the common denominator of 17/28 and 62/(-8) + 1/(2 + k). 28 Let f be (-4)/(-10) + 2065/25. Let m = f - 163/2. Let o = -18281/14 - -1304. Calculate the common denominator of m and o. 14 Let y(q) = -q**3 + 12*q**2 - 12*q + 7. Let g be y(11). Let x = 10411/10 - 1043. Find the common denominator of (-125)/18 - ((g - -3) + 0) and x. 90 Let d = 1293 + -1277. Suppose -3*n = 3*f - 8*f - 34, -4*n + 3*f + 38 = 0. What is the smallest common multiple of n and d? 16 Let c = -934 - -31781/34. What is the common denominator of c and (153/(-48))/(-26 + 27)? 272 Let q = -10/327 - -6689/1308. What is the common denominator of 68/9 and q? 36 Let o = -1067 + -538. Let k be ((-20)/(-50))/(1/o). Calculate the common denominator of -11/8 and k/9*1/8. 24 Let y = 50 - 82. Calculate the common denominator of 74/9 and 252/y + -2 + (-3)/(-3). 72 Let u = 39883709/144 - 276969. Let f = -1/72 + u. Let o = 2/95 - 1961/190. What is the common denominator of o and f? 80 Suppose 3*q + 20 = 83. Let x = 9992/9 + -1109. What is the common denominator of x and (-261)/q*(-2)/6? 63 Let j = -2399 + 16847/7. What is the common denominator of ((-21)/8)/((-18)/152) and j? 42 Let k = -1/9100 - -1821/9100. Find the common denominator of (3/4)/(2/60) and k. 10 Let t = 5119/6 - 851. Calculate the common denominator of (-79)/2*(18/24 - 1) and t. 24 Calculate the common denominator of -91/50 and -126*((-9)/(-24))/(9/6). 50 Suppose 5*w + 2*l - 2115 = 7*l, -2*w + 3*l + 847 = 0. Let j be 260/4736*w - 0. Let t = j - 1/1776. What is the common denominator of t and 41/11? 66 Let p(b) be the second derivative of -b**5/20 + 7*b**4/6 - 13*b**3/2 - 9*b**2/2 + 17*b. What is the smallest common multiple of p(10) and 26? 26 Suppose 0 = 3*l - 61 + 28. What is the lowest common multiple of l and 88? 88 Let h = 3394022/121 + -28050. Calculate the common denominator of h and -55/8. 968 Calculate the common denominator of 25/44 and 2442/(-100) - (-12)/300*-2. 44 Let g = 978 + -29327/30. Let f be 4/(-8) - (-16)/(-6). Let p = f - g. Find the common denominator of p and -23. 5 Suppose 3*f - 2*a + 2 = -1, 0 = -4*f + 3*a - 5. What is the lowest common multiple of (-8)/(2/f) - -40 and 3? 36 Suppose z = 5*c + 1, -11 = -5*c + 4. Let g = 14 - z. Calculate the lowest common multiple of 2/g*(0 + -3) and 18. 18 Let f = 12 - 2. Suppose -2*q + 5*q = 0. Suppose q = -2*k + 4*k - 22. What is the least common multiple of k and f? 110 Let g be 2/7 + (-1 - 10578/(-14574)). Let o = g + 16289/1735. Let y = 8703/5 + -1734. Find the common denominator of o and y. 5 Let k = 115 + -39. Suppose -4*i + 2*b + 28 = 0, 22 = 4*i - 50*b + 51*b. Calculate the least common multiple of k and i. 228 Calculate the lowest common multiple of (-976)/(-18) - (-7)/(-189)*6 and 18. 54 Suppose r + 11 = -3*p - r, 4*p - 4 = 2*r. Let k be (p - 3)*(6 + -2). Let o = -4 - k. Calculate the smallest common multiple of o and 20. 60 Let f(d) = -60*d - 8. Calculate the smallest common multiple of f(-8) and 22. 5192 Let k = 758 - 461. Let a = 1715/6 - k. Let r = -1/472 + 18883/1416. Find the common denominator of r and a. 6 Let p(x) = -21*x**2 + 3*x + 128. Calculate the smallest common multiple of (-8)/(1/(5/(-2))) and p(0). 640 Let a = -187029388268071/3308439 + 56531007. Let f = a - -86955702217/33084390. Let l = 2636 - f. Find the common denominator of l and 6/7. 70 Let u = 474 + -462. Calculate the smallest common multiple of u and 12. 12 Suppose 2*l - 4 - 16 = 0. Calculate the lowest common multiple of (9/5)/((-1)/(-5))*(87 - 84) and l. 270 Let g be (((-100)/(-15))/10)/(1/75). Let w = -39 + g. What is the least common multiple of w and 5? 55 Let i = -61 - -79. Suppose -i = 7*j - 8*j. Calculate the least common multiple of 30 and j. 90 Calculate the common denominator of -99/206 and -2 + (-278)/(-12) + 23 + -26. 618 Let g be 409/(-28) - (3 + -1). Let c = -90/7 - g. Let p = -1589 + 15817/10. What is the common denominator of c and p? 20 Suppose 5*g - 135 = 5*b, -b + 1 = g + 26. Let q = 61 + -25. Let j = b + q. What is the lowest common multiple of 10 and j? 10 What is the smallest common multiple of 652 and 6 + (2 - 3) + 4? 5868 Suppose -3*q + 0*q + 48 = 0. Suppose -r = -2*r + q. Let k(p) = p**2 + 21*p - 638. Calculate the least common multiple of k(-38) and r. 16 Let k(l) = l**3 + 3*l**2 + 3*l + 3. Let f be k(-2). Let d be ((0/f)/4)/(-1). Find the common denominator of 10/3 and (2 - d) + (-13)/(-4). 12 Suppose -h = -4*z + 84, z = h - 0*h + 24. Calculate the smallest common multiple of 20 and z. 20 Suppose 0 = -58*d + 52*d + 12. What is the least common multiple of 5 and d? 10 Suppose 3 + 12 = -3*u. Calculate the lowest common multiple of 12 and 40*u/50*-5. 60 Suppose -j - 36 = -3*j. Suppose 7*b + 5*v = 10*b - 96, -128 = -4*b + 5*v. Calculate the smallest common multiple of b and j. 288 Suppose 3*b = 4*l - 4, -2*b + 1 - 13 = 2*l. Let a be (-2 - (-15436)/(-108)) + l. Let k = a + 149. Find the common denominator of k and -57/7. 189 Let z be ((-1046)/10)/(42/1505). Let l(b) = 29*b**3 + 5*b**2 - 4*b + 10. Let v be l(5). Let g = v + z. What is the common denominator of -15/16 and g? 48 Let h(k) = 2*k**2 - 30*k + 20. Let s be h(15). Suppose 4*u = -u + s. What is the least common multiple of u and 22? 44 Let f = -4412 - -3014. Let h be (12/f)/(4/6). Let a = -3071/3262 - h. Calculate the common denominator of a and -17/22. 154 Suppose 4*j = 2*j - 5*b + 6, 2*j - 6 = -3*b. Suppose -j - 6 = -3*y. Suppose y*a - 5*g + 5 = 1, -5*g = 2*a - 14. What is the smallest common multiple of a and 3? 6 Suppose -35*f = -40*f + 30. Let q(n) = n**3 + 3*n**2 - 2. Calculate the least common multiple of q(-2) and f. 6 Let u = -64327/231 + 1965/7. Find the common denominator of 37/55 and u. 165 Let o = 5/118 + 22/177. Calculate the common denominator of 43/42 and o. 42 Let a(i) be the third derivative of -i**5/60 + 7*i**3/2 - 6*i**2 + 1. Calculate the smallest common multiple of a(-4) and 39. 195 Suppose -528 = -4*u - 0*u. What is the smallest common multiple of 12 and u? 132 Let j = 307/5 - 2334/35. Calculate the common denominator of 61/106 and j. 742 Let h = -17 + 25. Suppose 4*a - 19 = j, 12 = 4*j - h*j. Calculate the smallest common multiple of a and 3. 12 Let t = 9/2294543 - -401689581029/45890860. Let u = -8756 + t. Find the common denominator of u and -3/68. 340 Let q = -124601/68628 - -730/301. Calculate the common denominator of q and -22/21. 1596 Let s be (-6)/33 + 473745/(-198). Let q = 2398 + s. What is the common denominator of 61/9 and q? 18 Let a = 41980 + -86623/2. Let o = 1365 + a. Find the common denominator of o and 91/4. 4 Let a = 53/44 + -597/176. What is the common denominator of 1241/68*-6*2/6 and a? 16 Let t = 629/30 - 33/10. Calculate the common denominator of t and -60/427. 1281 Calculate the least common multiple of 123694/322 - (3 - (-40)/(-14)) and 480. 1920 Let r be 2/(-6) + 10/(-15). Calculate the lowest common multiple of 5 and (3 - -1) + r + 1. 20 Let h = 239795 + -8872950/37. Let t = h + 5005/666. Let x = 533/12 + -83/3. Find the common denominator of x and t. 36 Let f(d) = -d**3 + 3*d**2 + 3*d - 8. Let b be f(2). Find the common denominator of b/(-7) + 4 + -4
{ "pile_set_name": "DM Mathematics" }
69 In base 5, what is -311034 + -303? -311342 In base 15, what is 1820 - 20? 1800 In base 9, what is -150 - -517? 357 In base 14, what is -d6 + b95? a9d In base 5, what is 4013233 + -4? 4013224 In base 2, what is 11011100111100 - -1? 11011100111101 In base 6, what is 54045 - -3? 54052 In base 4, what is -10021112 + -113? -10021231 In base 5, what is -3 + 314324? 314321 In base 6, what is 23554 + -1500? 22054 In base 15, what is -4c - -51? 4 In base 9, what is 2558 - 0? 2558 In base 3, what is 2121102021212 + -2? 2121102021210 In base 7, what is 13246143 - 5? 13246135 In base 3, what is -122110 + 121201? -202 In base 14, what is -3 + -4829? -482c In base 3, what is -100100012 + -12? -100100101 In base 2, what is -110 - -1000011010000001000? 1000011010000000010 In base 10, what is 4 + 6076? 6080 In base 13, what is 1b2 + 2b6? 498 In base 15, what is -5 + -23db? -23e1 In base 12, what is -5 + -b2b50? -b2b55 In base 8, what is -206 - -6241? 6033 In base 14, what is 743 + -31? 712 In base 7, what is 15235356 - -3? 15235362 In base 16, what is 75 + -54? 21 In base 14, what is 15 + 198? 1ad In base 11, what is 0 + 498749? 498749 In base 14, what is -48 - 99? -103 In base 16, what is -c5 - 64d? -712 In base 10, what is 5546 + 37? 5583 In base 2, what is 111 + 1000111010? 1001000001 In base 12, what is -34a7 + 172? -3335 In base 8, what is -242 + -4302? -4544 In base 11, what is 341367 + -4? 341363 In base 15, what is -1907e + 8? -19076 In base 11, what is 6073 + -26? 6048 In base 15, what is 7 - 16c991? -16c989 In base 6, what is 104414 + -105? 104305 In base 7, what is 64633 + 42? 65005 In base 4, what is 2312022 + 1001? 2313023 In base 2, what is -1000110011 + 10100001? -110010010 In base 13, what is -312 - 73? -385 In base 12, what is -89 - -6198? 610b In base 4, what is 13001020113 + 10? 13001020123 In base 16, what is 1593 + -42? 1551 In base 8, what is -1000067 - 6? -1000075 In base 5, what is 4023121 - 31? 4023040 In base 9, what is 2 + 38572? 38574 In base 13, what is 2 - -24c6ab? 24c6b0 In base 16, what is 62e - -ad? 6db In base 10, what is -14103 - -3? -14100 In base 15, what is 3163c + -9? 31633 In base 11, what is a579 + 5? a583 In base 12, what is 179 + -310? -153 In base 2, what is -101010001100 - -1101? -101001111111 In base 12, what is 35a0 + a1? 3681 In base 8, what is 3 + 1565137? 1565142 In base 6, what is 0 + -1053104? -1053104 In base 14, what is -2 - 5dd3? -5dd5 In base 6, what is 12 + 11403? 11415 In base 5, what is -100343 - 134? -101032 In base 13, what is 4 + 61ac? 61b3 In base 12, what is 1099 - -11? 10aa In base 3, what is 11 + -1220200010? -1220122222 In base 2, what is -110110011 + 11101011? -11001000 In base 12, what is -6 + -358a? -3594 In base 12, what is -734 - -10a? -626 In base 8, what is 4 + 156404? 156410 In base 5, what is 111 + -42301? -42140 In base 15, what is -19 + 196? 17c In base 3, what is 10 + -211201001? -211200221 In base 13, what is 3588 - b? 357a In base 12, what is -49 - -16978? 1692b In base 10, what is 4 - 325432? -325428 In base 13, what is -19bc22 + -5? -19bc27 In base 9, what is 0 + 48863? 48863 In base 14, what is 8 + -2a41? -2a37 In base 15, what is 3d3e1e + -2? 3d3e1c In base 16, what is -4 + 5bb3? 5baf In base 6, what is -2 + 452522? 452520 In base 13, what is b8a - -86? c43 In base 2, what is 1100010 + -1110111? -10101 In base 7, what is 4441 - 33? 4405 In base 9, what is 35 + -3848? -3813 In base 3, what is 1 - -2011001021201? 2011001021202 In base 2, what is -11110011 - -11111? -11010100 In base 11, what is 11 - 5485? -5474 In base 5, what is 4 - 1013130? -1013121 In base 6, what is 1253 - -4204? 5501 In base 2, what is 1110011011101111 - 1? 1110011011101110 In base 13, what is -ca92 - 2? -ca94 In base 9, what is -174431 - 4? -174435 In base 7, what is -4 + -1035004? -1035011 In base 4, what is 10110110 - -102? 10110212 In base 16, what is 1d3 - 2f? 1a4 In base 12, what is 4 + -3a7a4? -3a7a0 In base 2, what is 11 + 11000111110100000? 11000111110100011 In base 7, what is 60325 + -1? 60324 In base 8, what is -1756053 - 2? -1756055 In base 6, what is 4 + 102250? 102254 In base 14, what is 4 - 1cb18? -1cb14 In base 4, what is 21202 + 10132? 32000 In base 5, what is -32111041 - 2? -32111043 In base 5, what is 0 + 140001? 140001 In base 6, what is -23533 + 4? -23525 In base 7, what is -11 + -55433? -55444 In base 16, what is 16ed5 - -2? 16ed7 In base 10, what is -3 + 15164? 15161 In base 13, what is -425227 + 4? -425223 In base 3, what is -1 + -222210001? -222210002 In base 14, what is c61 - 17? c48 In base 16, what is -6a - -2e7? 27d In base 16, what is -1137 - -4? -1133 In base 15, what is 52 - 67ec? -679a In base 3, what is -101122 + -100121? -202020 In base 16, what is -92b + -7? -932 In base 5, what is 3314142 + 221? 3314413 In base 8, what is 1102 + -72? 1010 In base 3, what is 11022101102 + -1012? 11022100020 In base 14, what is 34 + dddb? 10031 In base 10, what is 4104400 + -2? 4104398 In base 12, what is -85 + 5? -80 In base 14, what is -131c + 42? -12ba In base 10, what is 5 - -235449? 235454 In base 4, what is 10 + 130101322? 130101332 In base 12, what is 4 + -9b19? -9b15 In base 5, what is -2020044422 + -1? -2020044423 In base 6, what is 4344 + 50? 4434 In base 10, what is 457241 + -2? 457239 In base 11, what is -5a + 18440? 18391 In base 8, what is -13 - 624053? -624066 In base 11, what is 518a + 207? 5396 In base 12, what is -93a8 + 14? -9394 In base 5, what is 12 - 100303421? -100303404 In base 16, what is -25 - -12? -13 In base 7, what is -33233154 + 4? -33233150 In base 5, what is 200 - -11400? 12100 In base 16, what is -165 - 85? -1ea In base 7, what is 5263563 + -1? 5263562 In base 11, what is 4 - 22906? -22902 In base 14, what is -3 - -235b? 2358 In base 14, what is -5 + 182d6? 182d1 In base 3, what is 1011 - -1002221? 1011002 In base 10, what is 10660004 - 0? 10660004 In base 14, what is 6dc + 82? 780 In base 2, what is 1010100011 + -1010101000100? -1001010100001 In base 13, what is a8 + -69? 3c In base 9, what is 2 + -28524? -28522 In base 5, what is 21 - 1243? -1222 In base 13, what is 13590 - -51? 13611 In base 4, what is 2332322 + 0? 2332322 In base 16, what is b + -808? -7fd In base 2, what is 1111110 + -11011011? -1011101 In base 14, what is -1 + -4812? -4813 In base 10, what is -1 - -12725? 12724 In base 2, what is 111100110 - 101011111? 10000111 In base 15, what is 0 - -98b2e? 98b2e In base 2, what is 101 - 10101110000011001? -10101110000010100 In base 7, what is 3 - 50563? -50560 In base 2, what is -1001111111110101010110 + -100? -1001111111110101011010 In base 16, what is 9 + -1409? -1400 In base 14, what is 2d9d3 - 5? 2d9cc In base 10, what is -3 + 81879? 81876 In base 3, what is 12220222222 - 101? 12220222121 In base 6, what is 4 - -3121340? 3121344 In base 13, what is 5a3b + -5a? 59b1 In base 3, what is 10120111 - -202? 10121020 In base 16, what is -3bdd8 - 2? -3bdda In base 7, what is 1120 + -100? 1020 In base 16, what is -151 + 378? 227 In base 13, what is c8 + 3ba0? 3c98 In base 15, what is 7d - 535? -4a7 In base 10, what is -3831 + -188? -4019 In base 14, what is 1134a - 2? 11348 In base 15, what is -20b3 + 13? -20a0 In base 3, what is 10210002 + -1? 10210001 In base 7, what is 1 - -243065? 243066 In base 15, what is -73 + -c3? -146 In base 7, what is 0 + -661? -661 In base 2, what is 101110 + -10110010100110? -10110001111000 In base 14, what is 5 - 1bd3? -1bcc In base 7, what is -131023 - 11? -131034 In base 10, what is -1 - -25482? 25481 In base 4, what is 1020311 - 3? 1020302 In base 8, what is 4 + 2503255? 2503261 In base 7, what is -11365252 - 4? -11365256 In base 6, what is -34 + 122223? 122145 In base 15, what is -672 - 20? -692 In base 16, what is -f9 + 3b? -be In base 15, what is 12975 - -9? 1297e In base 2, what is -10 + -1001010000100001? -1001010000100011 In base 13, what is -2 - -4a4? 4a2 In base 13, what is 3a9b0 + -3? 3a9aa In base 13, what is 3 - 14a88a? -14a887 In base 6, what is -12 + 35012? 35000 In base 12, what is 1689b + -19? 16882 In base 6, what is -1121101 - -4? -1121053 In base 13, what is 3604 + -4? 3600 In base 13, what is 728a + 15? 72a2 In base 8, what is -56 + -131252? -131330 In base 14, what is -4 - 3730? -3734 In base
{ "pile_set_name": "DM Mathematics" }
-1/61 a Which is the closest to 0.17? (a) 58 (b) 0.1 (c) 230 b Which is the nearest to 3/4? (a) -0.1 (b) 8 (c) -3/4 (d) -0.0079 d What is the closest to -2 in 0, 3, 1.8, -3, 7? -3 Which is the nearest to 3/8? (a) -1/2 (b) -1 (c) -4 (d) 0.7 (e) -2 d What is the nearest to 0 in -1719, 0.4, 1/11? 1/11 Which is the nearest to 40? (a) -3/20 (b) 3/5 (c) -5 b What is the nearest to 10/9 in -2/77, 3/5, 0.008? 3/5 Which is the nearest to -1? (a) 0.1 (b) 0 (c) 2169 (d) 0.4 (e) -1 e What is the closest to -1/9 in -0.16, -3, -2/99, 0.4? -0.16 Which is the closest to 0.1? (a) 0.1 (b) -4164 (c) -5 (d) 5 a What is the closest to 9 in -0.03, -9, -0.4? -0.03 What is the closest to -92 in 4/7, -43, -0.5? -43 What is the nearest to -2.7 in 11, -1/8, -0.7, 0.1? -0.7 What is the nearest to 0.2 in 1, 3, -0.1, 116.02? -0.1 Which is the nearest to 22? (a) 0 (b) 1 (c) -118 b Which is the nearest to 0.2? (a) 125 (b) -421 (c) 0.3 c What is the closest to 7/11 in -2/9, 3, 7/4? -2/9 Which is the closest to 92? (a) 1/3 (b) 1 (c) -2/3 (d) 134/5 d What is the nearest to -0.1 in -5, 2/3, 1.48, -4, 3? 2/3 Which is the nearest to 65? (a) 0.03 (b) -3/5 (c) 0.4 (d) -0.4 c Which is the nearest to 23/4? (a) 1/3 (b) -13 (c) -0.4 a Which is the closest to 8? (a) 3 (b) 0.1 (c) -5 (d) 1 (e) -0.3 a What is the closest to 1 in -710, 6, 60? 6 Which is the closest to -163/15? (a) 32 (b) -5 (c) -2/9 (d) 5 b Which is the nearest to -0.6? (a) -26 (b) 5 (c) 3/11 (d) -1 d What is the nearest to 0 in 42, 1/12, -3/362, 4? -3/362 What is the closest to 1 in -193, -10, 2? 2 Which is the closest to 8? (a) 0.3 (b) 25 (c) 7/6 (d) -3/2 c What is the closest to -0.3 in -2/7, 2/7, 1/1451? -2/7 Which is the closest to 1/4? (a) -3/2 (b) -3 (c) -6 (d) 49 a What is the closest to -1 in -49, 3/4, 2, -188? 3/4 Which is the closest to 160? (a) 0 (b) -3 (c) 0.3 (d) 48/5 d Which is the closest to -2/3? (a) -2 (b) -2/5 (c) 0.04 (d) 2/13 (e) -4.6 b What is the closest to -9 in 1.6, 2, 57? 1.6 What is the closest to -2.21 in -1, 4, -5, -14? -1 Which is the closest to 6? (a) -0.0084 (b) -1 (c) -2 (d) 2 d What is the closest to 2 in 0.5, -0.02, 0.3, 0? 0.5 Which is the closest to 0? (a) -2 (b) -1 (c) 0.4 (d) -37.6 (e) 22 c What is the closest to -1 in 0.05, 11, -0.08, 3? -0.08 What is the nearest to -0.208 in -0.2, -4, -7, -1? -0.2 What is the nearest to -1/4 in -4, -11602, -3? -3 Which is the nearest to 430? (a) 2/7 (b) 6.2 (c) 2 (d) 6 b Which is the closest to 0.3? (a) 4 (b) 3/7 (c) -10/16457 b Which is the nearest to 22/17? (a) -6/61 (b) 5/8 (c) 1 c Which is the nearest to -3/4? (a) 26 (b) -4 (c) -16 b Which is the nearest to 0? (a) 1 (b) -6 (c) -7 (d) 1/249 d Which is the nearest to 0.6? (a) -3/10 (b) -0.15 (c) -0.1 c Which is the nearest to -1? (a) -0.5 (b) 2 (c) -2.48 (d) -0.1 a Which is the nearest to -6? (a) -0.3 (b) 2 (c) 19549 a Which is the nearest to 3? (a) 27 (b) 0.0757 (c) -1 b What is the closest to 2 in 2, 1/5, 50.2? 2 What is the closest to -1/2 in 0.2, 2/1055, 1, -15? 2/1055 Which is the nearest to 1? (a) 0 (b) -0.1 (c) 57 (d) -11/4 a Which is the nearest to 34/23? (a) -0.2 (b) -1/3 (c) -4/23 c Which is the closest to -0.1885? (a) -4 (b) 3 (c) 1 c What is the nearest to -7 in -0.075, 5, -6? -6 What is the closest to 240103 in 1, 0.2, -2? 1 Which is the closest to 24? (a) 1 (b) 2/21 (c) 1.3 (d) 9 d Which is the nearest to -1? (a) 26 (b) 5 (c) 0.3 (d) 2/137 (e) 3/4 d Which is the closest to 0? (a) -0.7 (b) -7 (c) 2 (d) -4 (e) 489 a Which is the nearest to 56? (a) -13/2 (b) -5 (c) 2/7 (d) -1/3 (e) -1 c Which is the nearest to 0.1? (a) -20 (b) 3 (c) -18.8 (d) 0.4 d What is the closest to -5/2 in -1.8, -5/9, 4? -1.8 What is the closest to 0.1 in 0.3, 3/42908, -3? 3/42908 Which is the nearest to 0? (a) -3364/7 (b) 20 (c) 2/15 (d) 2 c What is the closest to -1 in 8, 5.02, 3? 3 What is the closest to 3 in -2/21, -4, -137/4? -2/21 Which is the nearest to 2/3? (a) -4 (b) 0.0831 (c) -3 b Which is the nearest to 111? (a) 1 (b) 51 (c) 1/3 b Which is the nearest to 16? (a) 177/8 (b) 6 (c) 0 a Which is the closest to 1/163? (a) 0.08 (b) 2/23 (c) 2 a What is the nearest to -0.3 in -4.77, 0.3, -5? 0.3 Which is the closest to 6? (a) -2/3 (b) 11 (c) 1.3 (d) -3/2 (e) 2/5 c What is the closest to -1.0206 in -1, 1/28, 4? -1 Which is the closest to -2/3? (a) 196 (b) 4/7 (c) -16 b What is the closest to -2/15 in 0.3, -1960, 2, -1/2? -1/2 What is the nearest to -5/7 in -3/4, -33, -1/5? -3/4 What is the nearest to -12618 in 2/9, 2, 3/4, 4? 2/9 Which is the closest to -0.6? (a) -0.0105 (b) 1/2 (c) 8 (d) -0.2 d What is the nearest to -2/7 in -3, 5, 494, 12? -3 Which is the nearest to -25? (a) 3/5 (b) -3 (c) -4 (d) -5 (e) 0 d What is the nearest to -1/4 in 1/4, 6, 2, -83? 1/4 What is the closest to 0 in 1/8, -25, 0.098? 0.098 What is the nearest to 0.1 in -5, 1020, -3, 3, -0.2? -0.2 Which is the nearest to 45? (a) 2/5 (b) 13 (c) 0.03 b What is the closest to -68 in -10/7, 4, 2/19, -3? -3 Which is the closest to 23? (a) -241 (b) -0.2 (c) -0.6 (d) -5 (e) -0.4 b Which is the nearest to 2? (a) 2/7 (b) -23 (c) -4 (d) -20 (e) 0.2 a Which is the closest to 1/2? (a) 3 (b) 28 (c) 498 a What is the nearest to 1 in 91/12, -18/25, 0.5, -3? 0.5 Which is the closest to 0.09? (a) 2/11 (b) -0.3 (c) -1 (d) 4/5 a What is the closest to 11/7 in -2, 0, 1/31, 7? 1/31 What is the nearest to 0.7 in -4, 240, -2/3? -2/3 Which is the closest to 0.19? (a) -6 (b) 53 (c) 1 c What is the closest to -0.1 in 1, -10, 250? 1 Which is the nearest to -0.1? (a) -11 (b) 0 (c) -57.83 b Which is the nearest to -1? (a) -0.04 (b) -0.3 (c) -22 (d) 5 b Which is the closest to 1/3? (a) -14610 (b) 2 (c) 0.1 (d) -0.1 c What is the nearest to -3 in -7, 6/11, -1/28, 4? -1/28 Which is the closest to 8? (a) -2 (b) -184 (c) 0.5 c Which is the nearest to 0.2? (a) -0.64 (b) -4 (c) 7 (d) -0.197 d What is the closest to 12/241 in -12, 0.5, 3/8? 3/8 What is the closest to 612 in 0.4, 0.9, 3? 3 What is the nearest to 65 in 0.3, -3/4, -7/166? 0.3 Which is the closest to 0? (a) 11 (b) 0.21 (c) 1/10 c What is the nearest to 1/2 in -19, 2, 0, 29, -5? 0 Which is the closest to -0.1? (a) -1/4 (b) -6 (c) 0.02 (d) 1 (e) -9.54 c Which is the nearest to 0? (a) 708 (b) -14 (c) -0.05 c Which is the nearest to -123? (a) 0.022 (b) 5 (c) -18 c What is the nearest to -1/3 in 5/2, 0.1, 18042? 0.1 What is the closest to 0.1 in -3, 1451, -0.04? -0.04 What is the closest to -2/37 in -79, 1, 2? 1 What is the nearest to -2/31 in 2/3, 1/29, -113, -5, -4? 1/29 Which is the closest to 2? (a) -2 (b) 3 (c) 185 (d) 2 (e) -1/2 d What is the closest to 1 in 4, -12, 1.36? 1.36 Which is the nearest to 1? (a) -9 (b) -5 (c) -0.5 (d) 1/50 (e) 41 d What is the closest to 1/2 in -0.5, 4, 0, 3/5, 1/5? 3/5 Which is the closest to 39? (a) -0.3 (b) 17 (c) -4 (d) 0.8 b What is the nearest to -0.1 in 0.3, 0, 0.484, -1? 0 Which is the nearest to -5? (a) 0.82 (b) -0.1 (c) -2/7 (d) -2 (e) 4/5 d What is the closest to 2 in -2, 7, -530? -2 Which is the closest to -68/5? (a) 2/649 (b) -2/7 (c) -1 c What is the closest to 2 in -5, -2/3, -0.506, -2, -0.3? -0.3 Which is the nearest to 29? (a) -4 (b) -0.3 (c) 22 (d) -2/13 c Which is the closest to 0? (a) -5 (b) -38 (c) 1/2 (d) 1 (e) 0.126 e What is the closest to 1853 in -1/7, 0.5, -3? 0.5 Which is the nearest to 0.1? (a) 17 (b) 55 (c) 0.12 (d) 4 c Which is the nearest to -2? (a) 1/9 (b) -0.5 (c) 1.4944 b Which is the closest to -0.2411? (a) 3/5 (b) 10/3 (c) 1/5 c What is the nearest to -1/5 in 1, 0.03, 4, 8, -23/3? 0.03 What is the nearest to 0.2 in 0.52, 5, 3, -0.7, 3/4? 0.52 What is the nearest to -0.07 in 0, -6.43, 1/6? 0 Which is the nearest to -11? (a) 0.2 (b) 0 (c) 64 b Which is the nearest to -1/2? (a) 0 (b) 0.43 (c) 6/11 (d) -0.7 d What is the closest to -4304 in 1, 0.5, 0.1? 0.1 Which is the nearest to 0.035? (a) -4 (b) 66 (c) -5 a Which is the closest to -48? (a) 3 (b) 1 (c) 0.34 (d) -4 (e) -2/19 d What is the nearest to 3105 in -2, 0.06, -0.2? 0.06 What is the nearest to 5 in 4, -13, -73?
{ "pile_set_name": "DM Mathematics" }
38 = 0, -19*x - 31 = -21*x - 5*m for x. 8 Solve -d - 1 = 5, 21 = 3*l - 4*d for l. -1 Solve -4*a - 67 = -b, 3*b + a + 32 = 25 for b. 3 Solve 3*s - 6 = -127*i + 130*i, 3*i = -4*s - 6 for s. 0 Solve 2*g + 5*d = -15, -8658*g - 2*d - 30 = -8662*g for g. 5 Solve 5*s = -4*j + 25, 2*j = -16*s + 4*s + 60 for s. 5 Solve 25 = -3*y + 4*l, 663*y + 5*l - 34 = 664*y for y. 1 Solve 2*l + 465 - 487 = -4*h, 0 = -2*l + 10 for h. 3 Solve -20 = r - 4*t + 17, -2*t + 20 = -2*r for r. -1 Solve -35*j - 2*t = -36*j - 6, 20*j + 3*t = 9 for j. 0 Solve -2*w + 11 = z, 3*w - 4356 = -3*z - 4341 for z. -1 Solve 129*v - 4 = -2*u + 130*v, -5*u - 3*v = -10 for u. 2 Solve -15*g + 3*j + 54 = -18*g, 0 = g + 12*j + 227 for g. 1 Solve -d = 3*k + 3, 0 = 2*d + 5*k - 8 + 9 for d. 12 Solve 0 = -4*a + 2*i - 14, 17835*a + 4*i - 52 = 17831*a for a. 2 Solve 716*v + 15 = -x + 712*v, -4*x + 2*v = -30 for x. 5 Solve o - 3*j = 3, -o + 1268 = j + 1265 for o. 3 Solve -3*b + k = 65 - 61, -3*b + 4*k = 7 for b. -1 Solve -4*i + 3*p = -29 + 27, p = -i - 3 for i. -1 Solve 15*m - 16*m + 4 = 3*v + 4, 2*v + 4*m = 0 for v. 0 Solve -5*b - 2*o = -32, 9*b - 14*b = -5*o - 25 for b. 6 Solve 4*u + 514*x = 508*x + 22, 23 = u + 5*x for u. -2 Solve 0 = z + 4*l - 19, 70*l = -5*z + 69*l - 19 for z. -5 Solve -4*b = -44, t = -937*b + 932*b + 51 for t. -4 Solve -c + 43 = 23*m - 19*m, 0 = 3*m + 5*c - 11 for m. 12 Solve -24 = 5*b - 3*t + 4, 5*b + 3*t = -22 for b. -5 Solve -141*g + 14 = -145*g + w, -3*g = 3*w + 33 for g. -5 Solve 5*b - j = -17, 60*j - 56*j + 7 = -5*b for b. -3 Solve 0 = 3*y + s, 2*y + 10 = -5*s - 3 for y. 1 Solve -3*i + 27 - 32 = 4*c, 43 = 2*c - 5*i for c. 4 Solve 30 = -78*v + 73*v + 5*r, 5*v + 4*r = 51 for v. 3 Solve 245*c - 8*a = 248*c + 59, -3*c + 0*c - 31 = 4*a for c. -1 Solve -5*i = -2*d + 482 - 469, -2*d = 2*i - 34 for d. 14 Solve 276*n - 281*n - 120 = -5*i, 0 = 5*i - 3*n - 118 for i. 23 Solve 5*p + 35 = -5*t, 5*t = 14*p - 13*p - 23 for t. -5 Solve 7 = 5*c - 3*m, 1769*c = 1770*c - 4*m + 2 for c. 2 Solve 2*u + 339 = 3*n + 362, u - 4*n - 24 = 0 for u. 4 Solve -381 = 205*l - 278*l - 4*f, -5*l - 2*f + 33 = 0 for l. 5 Solve -z - 22 = 4*o, -z - 2066 = 5*o - 2042 for o. -2 Solve -27 = -3*g - 3*n, 251 = -4*n + 271 for g. 4 Solve -2*l + 66*f + 6 = 61*f, 5*l - 30 = 5*f for l. 8 Solve -2065*h = -g - 2067*h - 7, 2*g - 4*h - 26 = 0 for g. 3 Solve 40 = -4*j - 5*z, -2*j - 276 + 250 = 4*z for j. -5 Solve 18*m = 4*v - 42 - 22, -v + m + 2 = 0 for v. -2 Solve 3*r = -2*w + 1, 3*w + 6*r = 11*r - 8 for w. -1 Solve -22*a - 5*d + 68 + 74 = 0, 3*a + 3*d = 24 for a. 6 Solve c + 32 = 4*c + 4*o, 5*o + 6 = 2*c for c. 8 Solve -2*b + 79 = -4*z + 29, -3*z = 33 for b. 3 Solve -3*v + 8*k = -8, k - 10 + 11 = 4*v for v. 0 Solve 4*a + w = -16, -2*w + 3*w = -a - 4 for a. -4 Solve 0 = 5*a - 4*y - 38, 94*a = 77*a + y - 22 for a. -2 Solve 5*d + 25 = 109*b - 107*b, -3*b + 25 = -5*d for d. -5 Solve 0 = 7*y - 3*y - 5*b - 42, -106*y - 4*b - 9 = -101*y for y. 3 Solve -4*d = 96*r - 97*r - 2*d, 3*r + 3*d = 36 for r. 8 Solve -3*a - 4*d = 19, -5*d = -15*a + 16*a + 10 for a. -5 Solve -5*v = k - 15, 229*k - 228*k + 9 = v for v. 4 Solve 2*f = 129*b - 131*b + 12, -4*b + 14 = 2*f for b. 1 Solve -5*m + 2 = y, -697*y = 2*m - 701*y + 8 for m. 0 Solve 11 = -4*n + q - 15, 0 = n + 2*q - 7 for n. -5 Solve 32*b + 96*s + 283 = 27*b, -3 = s for b. 1 Solve 26 = -4*d + 2*o, -600*d + 595*d - 3*o - 49 = 0 for d. -8 Solve 4*t + 4*z = -40, 3*z + 15 = -1492*t + 1494*t for t. -3 Solve 0 = 2*i + 4*l + 1664 - 1660, l + 19 = -5*i for i. -4 Solve 41 = -3*n - 4*y + 21, -2*y + 8 = -3*n for n. -4 Solve 21*t - 22 = 4*i + 19*t, 12*i - 4*t + 44 = 0 for i. 0 Solve -n - 8 = 173*p - 169*p, 2*p - n + 4 = 0 for p. -2 Solve -p + 9 = 6*a, -53*a + 2*p - 3 = -50*a for a. 1 Solve -50 = -3*a + 43*z - 35*z, 2*a - 4*z = 24 for a. -2 Solve -5*i + 4*l - 50 = 0, -74*i + 30 = -79*i + 2*l for i. -2 Solve 62*l + d + 31 = 69*l, d + 21 = 5*l for l. 5 Solve 0 = -2*c + 4*q + 18, -2*c + 276*q - 10 = 279*q for c. 1 Solve 3*j - c - 7 = 0, 2*c - 5 = -3*j - 10 for j. 1 Solve -11*c = -12*c + 5*c - 3*p + 24, -3*c + 4*p - 18 = 0 for c. -6 Solve 79 = -4*h - 110*c + 111*c, -2*h + c - 39 = 0 for h. -20 Solve o + 160 = 162, 4*o + 2 = 2*f for f. 5 Solve 3*n = -5*k + 69, 0*k + 21 = -5*k + 2*n for k. 3 Solve -521*c + 4 = -526*c + f, 2*c - f + 1 = 0 for c. -1 Solve -h - 13 = 3*r, 0 = -20*r + 16*r - 3*h - 14 for r. -5 Solve -5*r - 46 + 61 = 0, -4*q - 2 = 2*r for q. -2 Solve 3*k + 20 = -4*p - 28, -9*k - 117 = 3*p for k. -12 Solve 21 = c - 4*g, 4*c + 1350*g - 1348*g - 12 = 0 for c. 5 Solve m - 361*g = -364*g - 8, 4*g = -m - 9 for m. -5 Solve 0 = -k + 5*d + 12, 657*k - 658*k = 5*d + 18 for k. -3 Solve -v - 3*p - 37 = 0, v + 1517 - 1564 = 4*p for v. -1 Solve 3*x - 19 = -z, 12 = -2*x - 2*x - 0*x + 8*z for x. 5 Solve -2*b + 4*r - 475 = -513, -5*b + 2*r + 95 = 0 for b. 19 Solve 15 = j - 63*y + 60*y, 4*j = y + 16 for j. 3 Solve 826*a + 30 = 821*a - 5*u, 0 = -4*a + 5*u - 15 for a. -5 Solve -318*z + 323*z = x - 30, -z = -x + 2 for x. -5 Solve -2*l = 4*m + 6, 0*m = 5*l - 2*m + 27 for l. -5 Solve -5*z - n + 40 = -5*n, 0 = -7*z - n - 10 for z. 0 Solve d - 15 = -5*y + 12, y - 8 + 11 = 4*d for d. 2 Solve 63*u - 58*u - 1 = -2*o, -4*o - 6 = 2*u for u. 1 Solve 7 = -4*q + t, -q = 188*t - 189*t - 2 for q. -3 Solve 3503*x - 3507*x = -8*n + 4, 3*x - 17 = -4*n for n. 2 Solve 638 - 680 = -5*r - 8*s, r = -2*s + 10 for r. 2 Solve -w - 2*s - 14476 = -14484, -3*w = 4*s - 20 for w. 4 Solve 30*v - 2*h = 25*v + 29, 46 = -2*v - 4*h for v. 1 Solve 0 = 5*x + 219*f - 218*f + 6, 30 = 2*x + 4*f for x. -3 Solve 5*r - 413*g = -409*g + 32, 3*r - 5*g = 27 for r. 4 Solve -v - 3*i + 4 = 0, 14 = 121*v - 123*v + 5*i for v. -2 Solve -5*f = -4*b + 37, 472*f + 3*b + 11 = 468*f for f. -5 Solve 5*h - 1417*n + 35 = -1422*n, 2*h - 3*n = 41 for h. 4 Solve 0 = -3*i + v + 13, -1767*v - 8 = -1765*v for i. 3 Solve 1 = 18*t + 73, -t = -5*n - 16 for n. -4 Solve -q = -28 + 31, 4*p + 42 = -2*q for p. -9 Solve -r + c - 5 = 0, 2*r + 20 = 70*c - 67*c for r. 5 Solve 7*m + 12 = -5*s, -1433*s - 4*m - 6 = -1431*s for s. -1 Solve 284*s + 5*g = 287*s + 70, -5*s + 4*g - 69 = 0 for s. -5 Solve -2*n = -2*f + 30, -5*f - 4*n = 52 - 91 for f. 11 Solve -8*w + 211*y = 104*y + 102*y + 97, y + 3 = 0 for w. -14 Solve 3*f + 2*d - 7 = 1, -f - 72 = -10*d for f. -2 Solve -2*v + 4*f - 14 = 6, -5*v + 2*f = -6 for v. 4 Solve 0 = y - c + 113 - 111, -4*y + 48 = 4*c for y. 5 Solve h - 2 = -3*v, -h - 3*v - v = -2*v for h. -4 Solve -34 = 85*s - 82*s + d, 16 = -2*s - 4*d for s. -12 Solve 0 = -t + 14*q + 8 + 36, -2*q - 10 = -2*t for t. 2 Solve 558*n - 554*n = -2*x - 12, -x = 3*n + 9 for x. 0 Solve 2*q + 6 = 0, 5*k + 30*q + 22 = 31*q for k. -5 Solve -10 = -2*v - y, -1324*y = -3*v - 1328*y + 25 for v. 3 Solve -15*y - 14789 = 5*h - 14794, 20 = -3*y + 2*h for y. -2 Solve z - 5*w = -17, -5*w - 101 = -126 for z. 8 Solve 5*f = 788*y - 790*y + 34, -3*f = -2*y - 14 for y. 2 Solve 1027*c = 4*t + 1026*c - 49, -5*c + 28 = t for t. 13 Solve -50467*z = -50471*z + 4*n - 28, z = 3*n - 15 for z. -3 Solve 4*g + l - 12 = 0, 38*g + l + 92 = 240 for g. 4 Solve -29*m - 15 = 3*v - 30*m, -5*v - 2*m - 25 = 0 for v. -5 Solve -3*q + 4*d = 0, -710*q = -706*q + 2*d - 22 for q. 4 Solve 9 = -3*h - 2*b, 0 = 2*h - 2*b - 2*b + 22 for h. -5 Solve -24839*i + 24840*i - 26 = 5*m, -22 = 5*m + 3*i for m. -5 Solve 0 = 3*d - 24*g - 63, 4*g = 5*d - 1 + 4 for d. -3 Solve -57*y = -b - 59*y - 8, -4*y = b + 18 for b. 2 Solve 5*f - 654 = 2*x - 632, 4*f - 21 = 5*x for f. 4 Solve -5*k - 45 = 5*s, 5*k = -51*s + 54*s - 37 for k. -8 Solve -5*q = -4*o - 24, -3*q + 10 = 3*o - o for q. 4 Solve 0 = 3*a - 0*a + h + 13, 7 = -2*a - h for a. -6 Solve 4*v - 2*b + 536 - 522 = 0, -5*b - 10 = -v for v. -5 Solve 49 = -2*n - 4*y + 63, -n + y + 4 = 0 for n. 5 Solve -5*s - 3*z + 62 = z, s - 3*z = 1 for s. 10 Solve -198*c = -196*c - 5*p, -c - 5 = -5*p for c. 5 Solve 0 = 5*y + 6*r + 126, -5*y - 2*r - 53 + 11 = 0 for y. 0 Solve 15 = -3*k, y = 270*k - 265*k + 29 for y. 4 Solve -6 = -3*u + 2*b, 0 = -17*u + b + 11 + 23 for u. 2 Solve -2*k + 5*v = 9, 4*k + 297*v = 301*v for k. 3 Solve -19*n + 21*n + 2*o - 14 = 0, -5*n - 10*o = -85 for n. -3 Solve -5*b - 140*f = -144*f - 28, -10*b + 44 = -2*f for b. 4 Solve 10*h - 8*h + 3*y + 4 = 0, 7*h - 36 = 2*y for h. 4 Solve -4*d - 5*i = 39, -196*
{ "pile_set_name": "DM Mathematics" }
+ -1 - -5)? -5 Evaluate 3 - (4 + -3 + 0) - -1. 3 Evaluate -6 - (-3 + -8 + 9). -4 2 + (-2 - 3) - 2 -5 Calculate 10 + (3 - 6) - 12. -5 Evaluate 3 + (1 - 1) - 0. 3 What is -6 + 11 + (1 - 6)? 0 Calculate -1 - ((9 - 4) + -1). -5 8 + (-1 + 5 - 8) 4 What is the value of (7 - (-5 + 9)) + -1 - 3? -1 What is the value of 8 - 0 - 12 - -2? -2 What is the value of 6 + (-3 - (9 + -6))? 0 Evaluate -8 - -6 - (2 + 2). -6 Evaluate 0 - (2 + 3 + 0). -5 Calculate -4 - -2 - -4 - -1. 3 Calculate -7 + (3 - -2) + 0. -2 Calculate -7 + -6 + 2 + 21 - 5. 5 Evaluate -1 + 11 + -6 + 2. 6 What is (6 - 1) + (1 - 6) - -4? 4 Evaluate 1 + (-4 + -7 - -6). -4 What is the value of -2 + 5 + -5 - 1? -3 What is the value of 0 + 5 + (-3 - 1)? 1 What is the value of -2 + 1 - (3 + -7)? 3 Evaluate (0 - -3) + (3 + 2 - 3). 5 What is the value of (-5 - -4) + 8 + -6 + 0? 1 Calculate -15 + 9 + 0 + 8. 2 -5 + 17 + -4 - 11 -3 -1 - (4 + -9 + 2) 2 Evaluate 8 - 4 - 3 - -2. 3 Evaluate -2 + -3 + -3 + 0 - -3. -5 What is the value of 5 + 1 - (-13 - -18)? 1 Evaluate 6 + (-11 - -8) + 1. 4 What is -6 - (-3 + 3 - 1)? -5 (-2 - 0) + -2 + 114 + -105 5 What is the value of (-1 + 2 - (0 - -1)) + -4? -4 What is the value of 161 + -154 - (0 + -2 + 1)? 8 Evaluate -7 + 2 - (-11 + 1). 5 Evaluate -8 + 14 + -4 + -2 - -2. 2 Calculate -8 + 7 + (-9 - -5 - 0). -5 What is the value of -6 + 2 + 1 + 8 + -5? 0 13 - (12 - (-2 - -5)) 4 Evaluate (14 - 19 - (-1 - 2)) + -5. -7 (8 - (-9 + 19)) + 1 -1 What is 3 - 8 - (-3 + (5 - 2))? -5 Calculate -1 - 6 - (40 + -46). -1 What is (1 - -6) + (-84 - -77)? 0 Evaluate -2 - -1 - (-8 - (-11 - -6)). 2 Calculate 6 - (2 - 0) - (6 + 3). -5 Calculate -52 + 50 - (2 + -11). 7 0 - (9 + 1) - (107 - 112) -5 What is the value of 1 - -4 - (15 - (-6 + 15))? -1 Calculate (14 - 9) + 1 + -3. 3 What is the value of -5 - (-1 - 8) - 0? 4 Evaluate -3 + 0 + 1 + -1 + 2. -1 What is the value of 7 + 3 + -5 - -3? 8 What is -9 - -9 - (1 - 4)? 3 What is -3 - -6 - (-1 + -4 - -9)? -1 Calculate -1 + 0 - (-31 - -32). -2 What is the value of 0 - (-9 - (1 + -6))? 4 What is the value of -1 + -7 - (-2 - 9)? 3 Calculate (-3 + 1 - 0) + 1. -1 Evaluate (1 - 3) + 5 + -1. 2 What is 10 + (-11 - 1 - -4 - -3)? 5 -5 - -3 - 1 - -3 0 Evaluate -5 + 5 + -2 + 2. 0 Calculate (-1 - 2) + 13 + -12. -2 Calculate 10 + (-19 + 6 - 0). -3 What is -1 + 1 - (-1 + 2 + 0)? -1 Calculate -4 + (-5 - -5) - -1 - -5. 2 What is 4 + (1 - -3 - 5)? 3 1 + -1 + (7 - 6) 1 What is 1 + 5 + -3 - -2? 5 What is the value of -131 - -129 - (-7 - (-2 - -3))? 6 What is the value of -2 - -17 - (95 + -91)? 11 Calculate -8 - -5 - (6 - 12). 3 -6 + -8 - -11 - -4 1 What is the value of -1 - (2 - (1 + 0)) - -5? 3 What is (-3 - 2) + 8 + (5 - 12)? -4 Calculate -3 + -7 + 16 + -5. 1 1 + 1 + -1 - 5 -4 What is the value of -6 + -4 + (7 - 2)? -5 Evaluate 5 + (3 - 3 - 2 - 6). -3 (-12 - -6) + 5 - (-1 + 1) -1 Evaluate 5 + 2 - 6 - (-2 - -1). 2 Calculate (0 - (0 + -2)) + 113 + -111. 4 Evaluate -3 - (-6 + (13 - 9)). -1 What is the value of 5 + (1 - 0) + -6? 0 Calculate (-11 - -14 - 6) + -2. -5 What is (-6 - (7 - 13)) + -5? -5 What is the value of (6 - (2 + (7 - 7))) + -1? 3 Calculate 3 + -4 + 4 + -2 + 2. 3 What is (-3 - 1) + -1 + 0? -5 0 + (2 - 10) + 10 2 What is (4 - (-2 + 4 + -2)) + -6? -2 What is the value of -2 + (3 - (0 + 4 - 8))? 5 What is the value of 4 + 3 + (1 - 4) + -5? -1 Calculate (4 - 11) + (3 - 6). -10 What is the value of 2 + 0 - (8 - 3)? -3 What is the value of (7 - (-6 + 6)) + -14? -7 Evaluate 0 + (3 - (-1 - -2)) - 4. -2 Evaluate 4 + 2 + -8 + 5 + 6. 9 What is the value of (0 - -2) + 11 + -13? 0 What is the value of -3 + (15 - 8) - 2? 2 Calculate 12 - (19 - 5) - (7 + -1). -8 10 - (-6 - -6 - -8) 2 -3 + 4 + (-3 - -5) + -1 2 What is -3 + 0 + 3 + (-2 - 2)? -4 What is -14 - (-3 + -8 - 14)? 11 Evaluate -13 + 7 - (-6 - 0). 0 (21 - (5 - -9)) + 4 11 1 - (2 + -2 + 4 + 0) -3 4 + (-1 + -5 - (0 + -4)) 2 Calculate 9 - (6 - 2) - 7. -2 What is (5 - ((4 - 2) + 3)) + 4? 4 What is the value of 0 - ((-4 - -4) + -2 + 4)? -2 Calculate -4 - (-2 + 6 - 4). -4 84 - 75 - (2 - (-3 - -2)) 6 Calculate -4 - -3 - (-7 - -2). 4 1 - (17 + -9 - (4 + -1)) -4 (1 - 1 - (0 - -1)) + -1 -2 What is 2 + -2 - (-2 + -2)? 4 -1 + -9 + -2 - (4 + -11) -5 Calculate 4 + (0 - 1 - 6). -3 5 + -3 - -3 - (8 + 3) -6 Calculate 2 + -2 + (8 - 5 - 5). -2 What is the value of -3 - (20 - 9 - 14)? 0 Evaluate 7 + -24 + 17 + -1 + 7. 6 What is (-8 - -7 - 1) + 6? 4 (0 - 2) + (10 - 10) -2 What is the value of 6 + -14 + 5 + -3? -6 Calculate -21 + (-6 - (-20 - -2)). -9 What is the value of -10 + -4 + 4 + 11? 1 What is 4 + 0 + -17 + 13? 0 What is the value of (0 - 1) + 1 + (-94 - -98)? 4 Evaluate (-4 - 1 - -5) + 0 + 3. 3 What is the value of -12 + 9 - (1 - 1)? -3 1 - -2 - (0 + -1) - 0 4 Evaluate 4 + -3 + 4 + -1 + 0. 4 What is 2 + (-11 - -10) + -4? -3 What is -1 + 0 + 5 - (-14 + 13)? 5 Calculate (-4 - -4 - (-4 - -1)) + -1. 2 1 + (2 - -6 - 4) 5 -2 - -1 - (-8 + (3 - -8)) -4 What is the value of 7 - 4 - 7 - -2? -2 What is the value of 0 + -10 + 1 - -15? 6 What is the value of (-5 - 0 - -5) + -4? -4 7 + (8 - 12) + -8 -5 What is 0 + -2 + -9 - -5? -6 Calculate 4 + (-5 + 4 - 2). 1 Calculate 3 + -8 + 7 + -7. -5 Evaluate -10 + 10 + 7 - (9 + -1). -1 What is -2 + 1 - 0 - 0? -1 What is the value of 8 + -1 + (5 - (2 + 18))? -8 What is the value of 2 - (-5 - 4 - -4)? 7 -1 + 2 + 13 + -11 3 What is the value of (10 - -1) + -35 + 29? 5 Calculate (-1 - -5) + (3 - 5). 2 -3 + (0 - -5) + -5 -3 Evaluate 0 + -2 + (2 - -1 - -2). 3 What is the value of 6 - (-8 + (7 - 5)) - 7? 5 4 + 3 - (8 + 3) -4 -4 - ((4 - 3) + -2) - -6 3 Evaluate 0 + -17 - (-125 - -114). -6 What is 2 + 5 + 1 + -3? 5 Calculate (-3 - -4) + -3 + 5. 3 What is the value of 31 + -31 + -1 + -1? -2 2 + 2 - (21 + -14) -3 0 - (-4 + 3 - -4) -3 What is the value of -2 + 8 + (-3 - -1)? 4 Evaluate -1 + (2 - 0) + 2 - -1. 4 Calculate 1 + 2 + 3 + -8. -2 What is (2 - 3 - -5) + 0 + -5? -1 What is (3 - (-3 - -12)) + (9 - 7)? -4 Evaluate -1 + 3 - (14 + -18) - 1. 5 1 + -1 + 6 + (-2 - 6) -2 Calculate 3 + 3 + 3 + -1 - 4. 4 What is 2 - -1 - -5 - 13? -5 (-11 - -2) + 11 + 6 8 What is 1 + (-3 - 3) + -2? -7 What is -1 + (2 - (2 - 0))? -1 What is the value of -1 + (8 - (15 - 8 - -9))? -9 What is the value of 3 + (1 - 4) + -2? -2 Evaluate -1 - (3 - 3 - -3 - 1). -3 Calculate -8 + (-7 - 5) + 23. 3 What is the value of 5 + -2 + -2 + 2 - -1? 4 Evaluate 4 - 3 - (6 - 5) - 2. -2 What is (-4 + 7 - 4) + -1 + -5? -7 What is (7 - 21) + (5 - -3)? -6 Evaluate 4 + (-5 - -3) - (5 - 3). 0 Calculate 3 + -3 + 0 + 3. 3 Calculate -4 - -5 - (2 + -4 + -2). 5 What is 4 - 0 - (-3 + 0 + 4)? 3 What is 3 + -8 - -5 - -5? 5 Evaluate 4 + 6 + -11 - (6 + -2). -5 9 - -1 - (6 + -2) 6 Calculate (-16 + 7 - -3) + -1 + 7. 0 What is the value of (0 - (-4 - -11) - -3) + 1? -3 Evaluate 0 + -1 - (5 - 7). 1 Calculate -7 + 14 + -3 + 4 + -7. 1 Evaluate 1 + -6 + 5 + (-2 - 0). -2 What is the value of 0 + 5 - (5 + 0)? 0 7 + 3 + (-1 - (1 - -4)) 4 6 - (5 + (-3 - -3)) 1 What is the value of -1 - (1 - -1) - -1? -2 What is the value of 0 - (-7 + 3) - (-3 + 1)? 6 What is -18 + 8 - (-25 + 8)? 7 Evaluate -4 - (1 + -5) - 1. -1 What is the value of 5 + -1 + 3 + (-14 - -12)? 5 What is the value of (25 - 27) + (1 - 3)? -4 -7 + 10 + (-1 - 1) 1 What is -3 + (8 - 7) - -1? -1 Calculate 4 - (-1 + (4 - (-4 - -2))). -1 What is (7 - -1) + (-14 - -10) + -5? -1 Calculate (4 - 5) + -1 + (1 - -3). 2 What is -3 + (14 - (5 - -2))? 4 Calculate 15 + (-3 - 2 - 2). 8 Evaluate 5 + (-7 - 0) + (8 - 4). 2 What is the value of (7 - 1) + -188 + 177? -5 Evaluate -1 + 1 + (-1 - (-2 - -4)). -3 Evaluate 9 - 1 - 4 - 3. 1 What is the value of -39 - -27 - (-9 + 1)? -4 What is the value of -6 + 11 - (0 + 3)? 2 Evaluate (5 - 6) + (-3 - (4 - 3)). -5 What is (-4 - -9 - 18 - -4) + 2? -7 Evaluate ((-3 - 0) + 4 - -1) + -4. -2 Evaluate (-1 - 6) + (-3 + -7 - -17). 0 Calculate (-3 + 0 - -7) + -2. 2 What is 6 + -6 - (3 - -3)? -6 Evaluate (-2 - -9) + -3 + 0 + 0. 4 Evaluate -4 + -6 + -8 + 24. 6 What is the value of 17 + -16 + 2 + 0? 3 Evaluate (-20 - (1 - 7)) + 10. -4 Calculate -4 + 4 + -3 - -5. 2 Evaluate (-13 - -3 - -3) + 4. -3 -3 - 5 - (-11 + 8) -5 Evaluate (2 - (3 + 0) - -1) + -4. -4 What is the value of 1 + (-1 - -1 - 4)? -3 17 - 21 - (1 + 0 - 2) -3 What is (-8 + 7 - -5) + -1? 3 What is the value of -1 + (-14 - (-24 + 4))? 5 What i
{ "pile_set_name": "DM Mathematics" }
of 104470? 2, 5, 31, 337 What are the prime factors of 512111? 29, 17659 What are the prime factors of 1664457? 3, 19, 29201 List the prime factors of 2549503. 11, 41, 5653 List the prime factors of 1883760. 2, 3, 5, 47, 167 List the prime factors of 205281. 3, 7603 List the prime factors of 1687527. 3, 62501 What are the prime factors of 10530934? 2, 1487, 3541 What are the prime factors of 6818666? 2, 17, 47, 251 List the prime factors of 42033. 3, 14011 List the prime factors of 3474867. 3, 11, 29, 3631 List the prime factors of 2172343. 2172343 What are the prime factors of 2248498? 2, 7, 19, 79, 107 List the prime factors of 11452574. 2, 7, 23, 5081 What are the prime factors of 490670? 2, 5, 139, 353 List the prime factors of 10190653. 11, 926423 What are the prime factors of 8061932? 2, 241, 8363 List the prime factors of 878717. 7, 79, 227 What are the prime factors of 35114369? 37, 949037 What are the prime factors of 5652481? 19, 97, 3067 List the prime factors of 4187486. 2, 19, 263, 419 List the prime factors of 1611228. 2, 3, 134269 What are the prime factors of 5057426? 2, 11, 29, 7927 List the prime factors of 9192864. 2, 3, 31, 3089 List the prime factors of 15118844. 2, 13, 167, 1741 List the prime factors of 112298. 2, 56149 List the prime factors of 77822. 2, 167, 233 List the prime factors of 17734036. 2, 73, 60733 List the prime factors of 3613702. 2, 653, 2767 What are the prime factors of 3820207? 47, 81281 List the prime factors of 2420791. 1021, 2371 List the prime factors of 26631344. 2, 1664459 List the prime factors of 223199. 61, 3659 What are the prime factors of 7152245? 5, 41, 139, 251 What are the prime factors of 5995204? 2, 1498801 What are the prime factors of 323730? 2, 3, 5, 11, 109 List the prime factors of 137872. 2, 7, 1231 List the prime factors of 610695. 3, 5, 41, 331 List the prime factors of 12411869. 12411869 List the prime factors of 1783464. 2, 3, 74311 List the prime factors of 8434645. 5, 379, 4451 List the prime factors of 4238819. 13, 326063 List the prime factors of 8784193. 11, 223, 3581 What are the prime factors of 48671? 7, 17, 409 What are the prime factors of 235807? 11, 13, 17, 97 What are the prime factors of 12379727? 23, 538249 List the prime factors of 4886434. 2, 7, 43, 8117 List the prime factors of 1792700. 2, 5, 7, 13, 197 List the prime factors of 1218421. 1218421 What are the prime factors of 495770? 2, 5, 11, 4507 List the prime factors of 618542. 2, 309271 What are the prime factors of 161430? 2, 3, 5, 5381 List the prime factors of 4440623. 11, 19, 21247 What are the prime factors of 912041? 13, 70157 What are the prime factors of 936551? 7, 11, 12163 What are the prime factors of 3573025? 5, 131, 1091 List the prime factors of 3568344. 2, 3, 13, 11437 List the prime factors of 7075748. 2, 1768937 What are the prime factors of 11462059? 7, 1637437 What are the prime factors of 64908? 2, 3, 601 List the prime factors of 255501. 3, 9463 What are the prime factors of 807416? 2, 100927 What are the prime factors of 1187699? 1187699 What are the prime factors of 2031217? 2031217 List the prime factors of 7691659. 7691659 List the prime factors of 6398996. 2, 137, 11677 What are the prime factors of 2282708? 2, 570677 List the prime factors of 1092320. 2, 5, 6827 What are the prime factors of 1790160? 2, 3, 5, 7459 List the prime factors of 30339640. 2, 5, 758491 What are the prime factors of 923614? 2, 31, 14897 What are the prime factors of 3627764? 2, 7, 83, 223 List the prime factors of 3141174. 2, 3, 41, 113 What are the prime factors of 63975? 3, 5, 853 List the prime factors of 4937160. 2, 3, 5, 41143 What are the prime factors of 4075103? 4075103 List the prime factors of 203700. 2, 3, 5, 7, 97 List the prime factors of 234917. 234917 List the prime factors of 1346267. 13, 29, 3571 What are the prime factors of 2828094? 2, 3, 139, 3391 What are the prime factors of 992814? 2, 3, 165469 What are the prime factors of 463586? 2, 193, 1201 List the prime factors of 236384. 2, 83, 89 What are the prime factors of 2436812? 2, 7, 29, 3001 What are the prime factors of 5000592? 2, 3, 104179 What are the prime factors of 23942? 2, 11971 What are the prime factors of 227380? 2, 5, 11369 List the prime factors of 871012. 2, 17, 12809 What are the prime factors of 3226747? 263, 12269 What are the prime factors of 974332? 2, 243583 List the prime factors of 1493458. 2, 211, 3539 List the prime factors of 35280028. 2, 7, 967, 1303 What are the prime factors of 18872? 2, 7, 337 List the prime factors of 2457945. 3, 5, 7, 17 What are the prime factors of 346834? 2, 17, 101 List the prime factors of 447762. 2, 3, 7, 1523 List the prime factors of 67115. 5, 31, 433 List the prime factors of 12204155. 5, 2440831 What are the prime factors of 1667800? 2, 5, 31, 269 List the prime factors of 10082863. 7, 19, 47, 1613 What are the prime factors of 21429? 3, 2381 What are the prime factors of 911030? 2, 5, 17, 23, 233 List the prime factors of 776320. 2, 5, 1213 List the prime factors of 9734047. 17, 97, 5903 List the prime factors of 3285383. 71, 46273 What are the prime factors of 281038? 2, 83, 1693 List the prime factors of 2011322. 2, 1005661 What are the prime factors of 314717? 13, 43, 563 What are the prime factors of 1602122? 2, 801061 What are the prime factors of 15294152? 2, 17, 107, 1051 What are the prime factors of 8123922? 2, 3, 23, 31, 211 List the prime factors of 33023004. 2, 3, 7, 131, 3001 List the prime factors of 1195999. 7, 170857 What are the prime factors of 78420? 2, 3, 5, 1307 What are the prime factors of 1761131? 61, 28871 What are the prime factors of 2272580? 2, 5, 199, 571 List the prime factors of 1507432. 2, 61, 3089 What are the prime factors of 225517? 61, 3697 List the prime factors of 10625184. 2, 3, 79, 467 List the prime factors of 1341562. 2, 670781 What are the prime factors of 38085? 3, 5, 2539 List the prime factors of 22968442. 2, 7, 617, 2659 List the prime factors of 1041862. 2, 17, 30643 List the prime factors of 1109623. 47, 23609 What are the prime factors of 1265114? 2, 632557 List the prime factors of 206017. 7, 19, 1549 List the prime factors of 245205. 3, 5, 5449 What are the prime factors of 168042? 2, 3, 7, 4001 List the prime factors of 14446767. 3, 4815589 What are the prime factors of 1002252? 2, 3, 17 List the prime factors of 247671. 3, 9173 What are the prime factors of 574064? 2, 35879 What are the prime factors of 1228864? 2, 7, 13, 211 List the prime factors of 1899555. 3, 5, 7, 79, 229 What are the prime factors of 19265101? 19265101 What are the prime factors of 4430566? 2, 7, 316469 List the prime factors of 1953989. 439, 4451 What are the prime factors of 5452587? 3, 7, 23, 53, 71 What are the prime factors of 1215975? 3, 5, 31, 523 List the prime factors of 3902577. 3, 7, 83, 2239 What are the prime factors of 7999884? 2, 3, 24691 List the prime factors of 12848620. 2, 5, 37, 97, 179 List the prime factors of 694116. 2, 3, 6427 What are the prime factors of 5461708? 2, 7, 107, 1823 List the prime factors of 50682. 2, 3, 8447 What are the prime factors of 1175983? 347, 3389 List the prime factors of 2580066. 2, 3, 47779 What are the prime factors of 3465866? 2, 19, 223, 409 What are the prime factors of 2775066? 2, 3, 7, 9439 What are the prime factors of 1483982? 2, 741991 List the prime factors of 9797610. 2, 3, 5, 17, 19211 List the prime factors of 249364. 2, 31, 2011 List the prime factors of 12023173. 73, 164701 List the prime factors of 334605. 3, 5, 22307 What are the prime factors of 300647? 300647 What are the prime factors of 2456207? 13, 188939 List the prime factors of 28661452. 2, 7165363 List the prime factors of 3900364. 2, 13, 107, 701 List the prime factors of 571555. 5, 114311 What are the prime factors of 2720211? 3, 13, 19, 3671 List the prime factors of 4432320. 2, 3, 5, 19 List the prime factors of 396784. 2, 24799 What are the prime factors of 591351? 3, 197117 List the prime factors of 1095643. 41, 26723 List the prime factors of 5227582. 2, 37, 41, 1723 What are the prime factors of 273871? 13, 21067 What are the prime factors of 178049? 19, 9371 List the prime factors of 7160599. 7160599 Wh
{ "pile_set_name": "DM Mathematics" }
econd derivative of p(w) wrt w. -12 Let r(p) = -5*p - 21. Let v(x) = x + 5. Let c(q) = q + 6. Let j(h) = 4*c(h) - 5*v(h). Let w(g) = 3*j(g) - r(g). Find the first derivative of w(s) wrt s. 2 What is the third derivative of 49*o**5 + 29*o**2 - 4*o**5 + 55*o**5 wrt o? 6000*o**2 Let u(w) be the third derivative of 0*w**4 - 11/6*w**3 + 0*w**5 + 0*w - 21*w**2 + 23/120*w**6 + 0. What is the first derivative of u(j) wrt j? 69*j**2 Let s(a) be the first derivative of 329*a**4/4 - 131*a**3/3 + 2*a - 360. Find the third derivative of s(z) wrt z. 1974 Let p(y) be the first derivative of -y**7/70 - 7*y**3/3 + 9*y**2/2 - 8. Let x(h) be the second derivative of p(h). What is the first derivative of x(k) wrt k? -12*k**3 Let k(c) = -c**3 - c**2 + 1. Let d(r) = -13*r**5 + 2*r**3 + 56*r**2 - 2. Let l(g) = -d(g) - 2*k(g). What is the third derivative of l(z) wrt z? 780*z**2 Let i(u) = -u**3 - 11*u**2 + 11*u + 3. Let f be i(-12). What is the third derivative of -10 + f + 11*h**2 - 12*h**3 - 5 wrt h? -72 Let p(j) = -j + 53. Let z be p(17). Differentiate -2 + 47 - 7*m**2 + 5*m**2 + z*m + 4*m**2 wrt m. 4*m + 36 Let g(u) be the first derivative of -3 + 2*u**5 + 0*u**2 + 0*u**4 + 0*u + 4/3*u**3. What is the third derivative of g(a) wrt a? 240*a Let z(g) be the first derivative of g**3/3 - g**2 - 10*g + 6. Let b be z(7). What is the second derivative of b*l - 3*l**3 - 21*l + l**3 wrt l? -12*l Let q be 1*(-2 - -1)*-2. What is the second derivative of -45 + 15*r + 3*r**q + 45 wrt r? 6 Let t = 0 - -5. Suppose l + l + 24 = t*q, 4*q + 3*l - 33 = 0. Let b(o) = 3*o + 11. Let z(m) = -6*m - 21. Let j(c) = q*z(c) + 11*b(c). Differentiate j(p) wrt p. -3 Let t(s) be the first derivative of 36 - 27/4*s**4 + 15*s + 0*s**3 + 0*s**2. What is the first derivative of t(o) wrt o? -81*o**2 What is the derivative of 255*h**2 + 32 - 164 - 57 wrt h? 510*h Let q(f) = -26*f**3 - 7*f - 3*f**2 + 1 + 14*f**3 - 1 + 3. Let a(s) = -s**3 - s**2 + s + 1. Let r(x) = -3*a(x) + q(x). Find the second derivative of r(m) wrt m. -54*m Find the third derivative of 174*f**4 + 61*f**2 - 590088 + 590088 wrt f. 4176*f Let u be (3/(-6))/1*2. Let c(w) = -2*w. Let v be c(u). What is the second derivative of 2*z - 2*z - v*z + 3*z**2 wrt z? 6 Let o(s) be the second derivative of -2/3*s**6 + 0*s**3 - 9*s**2 + 7*s + 0 + 0*s**4 + 0*s**5. Differentiate o(z) with respect to z. -80*z**3 Let t = 1223/2 + -611. Let b(i) be the second derivative of t*i**3 - 7*i + 0 - 5/12*i**4 + 0*i**2. Find the second derivative of b(o) wrt o. -10 Let d be (22/(-3))/(6/9). Let t = 14 + d. What is the derivative of u**3 - 1 + u**3 + 2*u**t + 4*u**3 wrt u? 24*u**2 Suppose -6*a + 3*a = 0. Suppose a = 8*o - 12*o + 8. Find the second derivative of 2*j**3 + j - 4*j**3 - o*j wrt j. -12*j Let i(r) be the second derivative of -19/30*r**6 + 0*r**4 - 2*r + 0 + 0*r**2 + 0*r**5 - 5/2*r**3. Find the second derivative of i(y) wrt y. -228*y**2 Suppose c - 44 = -41. What is the second derivative of -2*h**3 + 7*h**c + 46*h - 81*h wrt h? 30*h Suppose 9*g - 2 = 8*g. Find the third derivative of -10*o**2 + 33*o**3 - 13*o**2 + 9*o**g wrt o. 198 What is the second derivative of 7*m**2 + 44*m**2 - 2939*m + 2807*m wrt m? 102 Let m(q) be the first derivative of -q**3/3 - 85*q**2/2 + 2*q - 82. Differentiate m(u) with respect to u. -2*u - 85 Let f(b) be the second derivative of 0 + 5/2*b**2 + 5/3*b**3 - 21*b. What is the first derivative of f(v) wrt v? 10 Suppose 0 = -5*v + 5, -5*v + 10 = -0*n + n. Let w = -13 - -17. Find the second derivative of c**5 + 0*c**4 + n*c + 6*c**5 + 0*c**w wrt c. 140*c**3 Let j(c) = c**2 + 10*c - 14. Let d be j(-12). Suppose -12*i = -7*i - d. What is the third derivative of 0*v**2 - 2*v**5 - 6*v**i + 9*v**2 wrt v? -120*v**2 Suppose 8*y = 116 + 108. Differentiate 70 + 6 - y - 30*b wrt b. -30 Let o(r) = -r**2 + r - 1. Let h(j) = 4*j**2 - 18*j + 13. Let g(t) = -h(t) - 3*o(t). Let s be g(14). Find the first derivative of 1 - s + 7*d**2 - 7 wrt d. 14*d Suppose -4*h + 24 = -2*h. What is the second derivative of 4*q**2 - 6*q**2 + h*q - 6*q wrt q? -4 Let l(k) = -k**2 - 5*k + 1. Let d be (-46)/12 + 1/(-6). Let v be l(d). Find the third derivative of 4*y**5 - 6*y**v + 0*y**4 - 3*y**2 + 0*y**4 wrt y. -120*y**2 Find the second derivative of 3503*r**2 + 459*r - 3503*r**2 - 118*r**5 wrt r. -2360*r**3 Let g(x) = -27*x**6 - 10*x**2 - 2*x. Let v(c) = -c**6 - c. Let p(w) = -g(w) + 4*v(w). Find the third derivative of p(u) wrt u. 2760*u**3 Let s(v) = v**2 + 11*v - 210. Let y be s(-21). Let j(m) be the first derivative of 0*m**4 + y*m**2 + m + 8/5*m**5 - 5 + 0*m**3. Differentiate j(z) wrt z. 32*z**3 Let k(j) be the second derivative of -701*j**7/42 + 98*j**3 + 685*j. What is the second derivative of k(a) wrt a? -14020*a**3 Let b(g) be the first derivative of 134*g**5/5 - 12*g - 127. What is the derivative of b(j) wrt j? 536*j**3 Suppose -15 = -5*o + v, 2*o = -v - 2*v + 6. Let b be 4 + -1 + 7 - o. Find the third derivative of n**2 + 3*n**6 + 0*n**2 - b*n**6 wrt n. -480*n**3 Let r(h) = -20*h**2 - 5. Let o(k) = -38*k**2 - 9. Let p(b) = -75*b**2 - 17. Let i(n) = -5*o(n) + 2*p(n). Let x(v) = -6*i(v) - 13*r(v). Differentiate x(g) wrt g. 40*g Let w(y) be the first derivative of 19*y**3 + 67*y + 13. Differentiate w(l) with respect to l. 114*l Let m(n) = 7*n**3 + 26*n**2 + 5*n - 29. Let w(t) = 6*t**3 + 25*t**2 + 4*t - 30. Let x(y) = 4*m(y) - 5*w(y). What is the derivative of x(k) wrt k? -6*k**2 - 42*k Let w(j) be the third derivative of -7/60*j**5 - 23/120*j**6 + 0*j**3 + 0*j + 1/24*j**4 - 28*j**2 + 0. Find the third derivative of w(u) wrt u. -138 Let y(v) = -v**5 + v**4 + 1. Let r(t) = -3*t**6 - 3*t**5 + 3*t**4 + 5*t**3 + t**2 + 6*t + 3. Let c(b) = r(b) - 3*y(b). Find the third derivative of c(u) wrt u. -360*u**3 + 30 Let h(a) be the third derivative of 0*a**4 + 0*a**5 + 0 + 0*a - 11/6*a**3 - 8*a**2 + 11/120*a**6. What is the first derivative of h(s) wrt s? 33*s**2 Find the second derivative of 10*t**4 + 1450*t - 12*t**2 - 196 + 12*t**2 - 1449*t - 6*t**5 wrt t. -120*t**3 + 120*t**2 Let j(c) = 2*c**5 + 4*c**4 + 9*c**3 - 208*c. Let q(m) = 5*m**5 + 9*m**4 + 18*m**3 - 416*m. Let l(f) = 9*j(f) - 4*q(f). Find the second derivative of l(v) wrt v. -40*v**3 + 54*v What is the third derivative of -65*j**2 - 8*j + 5*j + 3*j + 61*j**3 wrt j? 366 Let y(f) = 14 - 17*f + 6 + 43*f - 7. Let r(p) = 78*p + 40. Let j(w) = 5*r(w) - 16*y(w). What is the first derivative of j(z) wrt z? -26 Let x(g) be the third derivative of 0*g + 10*g**2 + 3/8*g**4 - 1/5*g**5 + 0 + 0*g**3. Find the second derivative of x(m) wrt m. -24 Let h(f) = 561*f**3 + 51*f**2 - 359. Let m(w) = -70*w**3 - 6*w**2 + 45. Let z(r) = 6*h(r) + 51*m(r). Differentiate z(b) with respect to b. -612*b**2 Let a(m) = m. Let x be a(2). Suppose r - 4 = -u, 2*u + x*r - 18 = 5*r. Find the third derivative of 0*k**2 - 3*k**2 - 3*k**6 + u*k**2 wrt k. -360*k**3 Let f(w) be the third derivative of -31*w**5/20 - 11*w**4/24 + 2*w**3/3 + 10*w**2 - 1. Find the second derivative of f(h) wrt h. -186 Let r(u) = 173*u**3 - 3*u**2 - 3*u - 98. Let h(j) = 347*j**3 - 5*j**2 - 5*j - 195. Let x(b) = 3*h(b) - 5*r(b). Differentiate x(s) with respect to s. 528*s**2 Let b(u) be the second derivative of 7*u**5/4 + u**4/3 - 49*u**2/2 + 56*u. What is the first derivative of b(v) wrt v? 105*v**2 + 8*v Find the second derivative of -13*w**3 - 11*w**3 + 47*w - 65*w**2 - 8*w**3 + 1 + 34*w**3 wrt w. 12*w - 130 Suppose 10 = c - 4*t, 2*c + 10 = 4*t + 22. Let o(w) be the second derivative of 0*w**3 + 0 + 1/12*w**4 + 9/2*w**c - 8*w. What is the derivative of o(g) wrt g? 2*g Suppose 42 = -3*x + 105. Let s = x + -21. Find the second derivative of 109*p**5 + 2*p + s*p - 113*p**5 wrt p. -80*p**3 Let w = -6 - -15. Suppose w = 4*t - 11. What is the third derivative of 10*q**t + 3*q**3 - 3*q**3 - 3*q**5 + 6*q**2 wrt q? 420*q**2 Let h = -8 - -10. Suppose 0 = -3*l + 6, h*f + 4*l - 9 = 11. What is the third derivative of -3*v**2 + 6*v**6 + 2*v**2 - v**f wrt v? 600*v**3 Let b(u) = u**2 - 2*u - 5. Let y be b(-2). Suppose y*m - 3*j = 2*m + 5, 5*m - 5*j = 25. Find the second derivative of -32*p**m + 3*p + 22*p**5 + 7*p wrt p. -200*p**3 Suppose 5*k + 4 = -x + 10, 5*k - 30 = 5*x. Suppose k*q - 11 = 1. What is the third derivative of g**2 - 5*g**6 + 0*g**6 - g**6 - 5*g**q wrt g? -13
{ "pile_set_name": "DM Mathematics" }
+ 4*p = -19 - 3, -5*n = 4*p + 25 for n. -1 Solve 4*i = -2*c - 1 + 17, i + 3*c - 4 = 0 for i. 4 Solve -2*r + 2*n + 0 + 8 = 0, -5*r - 4*n = -2 for r. 2 Solve -4*m - 16 = -5*s + 4, -2*s - 5*m + 8 = 0 for s. 4 Solve 1 = -k + 5*n - 13, -k = 2*n for k. -4 Solve -5*b = 3*v + 12, b + 8 = 3*v + 2 for b. -3 Solve -4*c - 5*b + 17 = 0, -5*c - 17 - 13 = -4*b for c. -2 Solve -3*h + 14 = 4*d, -5*h - 68 = -3*d - 43 for h. -2 Solve 2*y = p + 11, 5*y - 23 = -14*p + 12*p for y. 5 Solve -4*k - 2 = -5*v, -4*v + 5 = 5*k - 13 for k. 2 Solve 3 = 4*s - 3*d, -4*s - s + 5*d = 0 for s. 3 Solve 4*i + 18 = 2*q, -3*q + 0*i + i + 7 = 0 for q. 1 Solve -2*b = 5*u + 17, 0 = 3*u + b - 0*b + 11 for u. -5 Solve 0 = r - 4*u - 11, 4*r + 10 + 2 = 2*u for r. -5 Solve 2*z + 12 = 4*q + 20, -4*z + 2*q = -16 for z. 4 Solve 3*i - 3*k - 3 = 0, 5*i + 19 = -4*k - 3 for i. -2 Solve 4*j - 16 = 2*z, -3*z - j - 4 + 15 = 0 for z. 2 Solve 2*k + 4 = -i + 9, -5*k + 20 = 4*i for k. 0 Solve -1 - 1 = -4*j + t, 5*t + 10 = 5*j for j. 0 Solve 0 = 2*i + 5*b + 5, 4*i - 2*b + 0*b = 26 for i. 5 Solve 3*t + 3*w = 3, -w - 15 = -2*t - 1 for t. 5 Solve 0 = -2*f - 2*n - 6, -17 = -f + 4*n for f. 1 Solve -2*y - 76*r - 19 = -73*r, 4*r = -2*y - 24 for y. -2 Solve 3*n + i + 3 = -2*i, -2*i + 14 = -2*n for n. -4 Solve i + 3*i = 20, 4*i - 35 = -5*k for k. 3 Solve -4*g + 4 = x, -47*g = -5*x - 51*g + 4 for x. 0 Solve 13*j - 62 = -u, -4*u - 60 = -3*j - 33 for j. 5 Solve -4*l = 3*t - 2, 3*l - 4 = -t - 0*l for t. -2 Solve -2*x - 14 = -3*k, 37*k + 2*x = 39*k - 12 for k. 2 Solve -3*a - 6 = -3*r, 0*a - 2*a + 4*r - 2 = 0 for a. -3 Solve l + 3*l = z + 16, -2*l = -10 for z. 4 Solve 0 = 10*n - 5*n + m + 7, -5*n - 13 = -m for n. -2 Solve -4*s - 2*j - j - 9 = 0, 4*j + 12 = 3*s for s. 0 Solve 0 = -5*c - 15, 2*c = 2*o - c - 1 for o. -4 Solve 3*t + m - 17 + 7 = 0, 2*m = 5*t - 13 for t. 3 Solve 11 - 3 = -2*s - 2*m, -4*s - 16 = -4*m for s. -4 Solve -5*v + 6 + 19 = -3*m, -m - v + 5 = 0 for m. 0 Solve 5*u + 20 = 0, -3*u = -5*h + 2*u + 15 for h. -1 Solve 37 = 4*v - 5*d, 2*d + 18 = 5*v - 7 for v. 3 Solve 0 = 3*r - 2*r - 3*k + 1, -4*r - 4 = -2*k for r. -1 Solve 4*s = 100*j - 99*j + 12, 0 = 2*j - 8 for s. 4 Solve 0 = -4*p, -2*p = -g + 1 + 3 for g. 4 Solve s - 1 = 2*x, 2*x + 19 + 7 = -4*s for s. -5 Solve -4*o - 15 = t, 2*o + t + 3 = -6 for o. -3 Solve 20 = 5*x, 0*a - 16 = -4*a - x for a. 3 Solve -3*z = 2*c - 2, 8 = 30*c - 28*c for z. -2 Solve 5*w - 2*s - 19 = 0, -3*s + 6 = 4*w - 23 for w. 5 Solve -6*n + 5*h = -n + 20, 7 = -n + 2*h for n. -1 Solve 2*u + 3*x = -22, -17 = 3*u - x - 6 for u. -5 Solve -3*z + 24 = 3*w, 125*z - 4*w = 122*z - 11 for z. 3 Solve -5*o = 5*h - 40, 4*h - 2*o - 226 = -224 for h. 3 Solve 0 = -9*w + 8*w + 3*n - 12, -58 = -11*w - 5*n for w. 3 Solve -2*j + 24 = -7*j + 2*c, 4*j + 26 = 5*c for j. -4 Solve -4*d - 12 = -31*w + 27*w, 0 = d + 5 for w. -2 Solve 3*s - i = -13, -407*s + 402*s - 45 = 3*i for s. -6 Solve -3*b - 2*u - 11 = 0, -2*b = -u - 3 + 1 for b. -1 Solve 0 = 59*g - 54*g + 4*j - 10, -2 = -g - 4*j for g. 2 Solve 2*p = -4*g + 8*g + 14, 2*g = 5*p - 19 for p. 3 Solve -5*f - 10 = 3*v, -2*f - 4 = -5*v + 9*v for f. -2 Solve 0 = -4*d - 5*l - 31, 3*l + 14 = -2*d + l for d. -4 Solve -3*d - 3 = -6*d + 3*p, -4*d + 3*p + 8 = 0 for d. 5 Solve 2*q + 3*v = 19, -5*q + 2*v = 5*v - 34 for q. 5 Solve -4*s + x = -x + 6, 0 = 4*s - 5*x + 9 for s. -1 Solve h = -2*x + 3, 3*x + 2*x = -4*h + 9 for x. 1 Solve -11*u + 2*w = -10*u - 13, -4*u - 3 = 3*w for u. 3 Solve -3*p - 8*s - 6 = -5*s, -2*s - 12 = 4*p for p. -4 Solve 26 = -4*p - 2*r, -28 = 16*p - 11*p + r for p. -5 Solve 0 = 3*k - 15, 0*w + 30 = 5*w + 2*k for w. 4 Solve 0*s + 2*s + 2 = -2*x, -2*x + s = 14 for x. -5 Solve -3*a + 6*o - 9*o - 3 = 0, -2*a - 9 = -5*o for a. -2 Solve 0 = -4*r - n - 5, -3*r - 4*n = n - 9 for r. -2 Solve v = -3*t - 8 - 5, -4*v = -t - 13 for t. -5 Solve 5*s + 10 = 0, 0 = 2*i + 7*s - 2*s + 20 for i. -5 Solve l + 15 = 4*o, 20 = 4*l + 2*o + 2*o for l. 1 Solve -2*v - 8 = -2*i, 0 = 3*i - 0 - 6 for v. -2 Solve -5*z - 23 = 3*u, -14*u + z = -13*u - 3 for u. -1 Solve 2*k - 16*m + 14*m - 12 = 0, -3*k + 2 = 5*m for k. 4 Solve 5*j = 20, -h + 3*j = -6*h + 27 for h. 3 Solve -5*k - 7*r = -2*r + 15, 5*k = -r - 15 for k. -3 Solve w + w = 3*d + 8, -d = -2*w + 8 for w. 4 Solve -z + 6 = -2*c, 4*c - 7*c - 31 = 4*z for z. -4 Solve 0 = -2*u - 5*i - 25 + 9, 4*i = -4*u - 20 for u. -3 Solve 0*x - l - 25 = 5*x, 5*l - 15 = 3*x for x. -5 Solve t + 6 = 2*b, -3*t - 10 = 2*b - 0*t for b. 1 Solve -4*t + 3 = l, 210*t - 206*t - 2*l = -6 for t. 0 Solve y = 4*n + 16, 2*n - 7*n = -2*y + 23 for y. 4 Solve -27 + 32 = 5*v + 3*q, -3*v = 3*q - 9 for v. -2 Solve 3*j + 5*o + 19 = 7, 0 = j + 2*o + 5 for j. 1 Solve -4*p - 27 = -5*y, -3*y - 10 = 5*p - 4 for y. 3 Solve 0 = 4*t - 4*q + 28, 0*q + q = 4*t + 13 for t. -2 Solve t - 5*t + 1 = -3*w, 3*w = -3*t + 27 for w. 5 Solve -33*x + 2*g + 3 = -32*x, -4*g - 9 = -3*x for x. 3 Solve 160*r - 159*r - 17 = -4*f, -16 = -2*f - 2*r for f. 3 Solve 5*u = 2*w + 15 - 17, 0 = 4*u - 3*w - 4 for u. -2 Solve -2*y - 4*p = y - 18, 5*p = -5*y + 25 for y. 2 Solve r - o = 16 - 15, -4*r - 4*o = -44 for r. 6 Solve 31 = -5*d - 3*j, -2*j - 5 = -1 for d. -5 Solve 0 = -2*i + 3*a + 7, -21 = 2*i + 2*i + a for i. -4 Solve -2*t + 9 = -5*x, -x = -2*x + 4*t + 9 for x. -3 Solve 3*h = 3*g - 6, -41*h = -44*h for g. 2 Solve 3*n - 5*j + 40 = 0, n - 17 + 37 = 3*j for n. -5 Solve -2*r - 4*l = 10, 4*r - 7*r - 2*l = 11 for r. -3 Solve 2*g = 5*m - 1, 3*g + 44 - 55 = -5*m for m. 1 Solve -2*k + 5 = -5*a - 5, 12 = -4*k + 2*a for k. -5 Solve -5*l + 27*w = 28*w - 19, -4*l + 2*w = -18 for l. 4 Solve 3*h - 35 = 4*a, a + 10 + 0 = h for h. 5 Solve 0 = 3*d - 3*c + 21, 4*d = -d - 5*c + 15 for d. -2 Solve -3*p = 3, -40*p = 2*m - 39*p - 3 for m. 2 Solve 2*y + 3*g = -y + 15, -5*g = -3*y + 15 for y. 5 Solve -4*u = -2*o - 28, -6*o + 5 = -o + 5*u for o. -4 Solve -3*w + 403 = 3*b + 424, -10 = -2*w + 4*b for w. -3 Solve -19*g + 23*g = -3*j + 14, 5*g - 20 = -5*j for j. 2 Solve 4*s = -4*w - 28, -4*s + 4*w - 8 - 4 = 0 for s. -5 Solve 4*d + 4 = -2*t, d - 3*d = 0 for t. -2 Solve 0 = 5*g - 7*j + 4*j + 46, -1 = 3*g + 2*j for g. -5 Solve -q + 4 = 3*o, -o + 2*q + 10 = -3 for o. 3 Solve -5*c - 3*x + 17 = -0, 0 = -c + 5*x + 9 for c. 4 Solve -g = b - 1, -6*g = 5*b - 8*g + 2 for b. 0 Solve -9*j - 3 = 3*z - 12*j, 16 = -z - 4*j for z. -4 Solve 0 = -i - q, i + 5*q + 20 = -0*i for i. 5 Solve -2*u - 5*q = -11, 8*u - 4*u - 4*q = -20 for u. -2 Solve 0 = -4*r - 16, -2*r - 6 + 4 = 3*l for l. 2 Solve -q + c - 23 = 6*c, -5 = -5*q - c for q. 2 Solve 5*m + 54*i = 57*i, i = -4*m + 17 for m. 3 Solve -4*u = 3*n - 11, -3*n + 6*n = -8*u + 19 for u. 2 Solve -3*a - 2*a + 25 = 4*x, 0 = -2*x - 3*a + 15 for x. 0 Solve 0*m = -5*a + 5*m + 15, -5*a = 5*m + 25 for a. -1 Solve 5*n + 2*c - 20 = -1, n - 14 = 3*c for n. 5 Solve 7*d - 12*d + 19 = 2*f, 2*d - 4 = f for f. 2 Solve 3 = -3*b + 4*b, 4*u - 2*b + 14 = 0 for u. -2 Solve 0 = 4*x + 4*f - 12, -8*x + 7*x + 4*f = 7 for x. 1 Solve 4*d - 5*m - 16 = 0, 6*d + m = 8*d - 8 for d. 4 Solve -4*y - 16 = 0, -4*y - 6 = -5*c + 5 for c. -1 Solve 3*f = -0*f + 3*l + 12, 0 = -2*f + 3*l + 7 for f. 5 Solve -15 = 3*j, -g + 5 = -j + 3 for g. -3 Solve 2*f - 10 = -4*a, -2*a = 3*f + 3*a - 11 for f. -3 Solve -h = -4*f + 1, -f + 11 + 2 = 4*h for f. 1 Solve 5*l = 5*j - 20, -4*j - 9*l + 12*l = -14 for j. 2 Solve -4*o + 12 = -4*y, 0 = 5*y + 2*o - 0*o + 22 for y. -4 Solve 5*q = 5*j + 5, j + 11 = -3*q + 2 for j. -3 Solve -10*z = 3*k - 8*z - 8, -k - 3*z + 5 = 0 for k. 2 Solve -2*v = g + 1, 5 = -v - g + 3 for v. 1 Solve 4*s - 3*l - 24 = -23, 0 = -s + 2*l - 6 for s. 4 Solve -5*j + 25 = 0, -3*z + 4*j = 5 + 15 for z. 0 Solve -4*j = 5*x - x, j = x for x. 0 Solve 4*h - 3*h - 2*b = -8, 2*h + b + 6 = 0 for h. -4 Solve 3*i = f - 2, 2*f = -i - 4*i + 4 for i. 0 Solve -2*m - 26 = -5*b, 8 = 2*m + 4*b - 2 for m. -3 Solve 37*i - 34*i - 3*y - 6 = 0, -2*i - 2*y = 0 for i. 1 Solve -l + 18 = 3*o, -2*l + 3*o + 556 - 565 = 0 for l. 3 Solve -191*a + 188*a = -4*q + 17, -12 = 4*a for q. 2 Solve 216*q + 5*j - 2 = 218*q, -j = 5*q + 5 for q. -1 Solve 3*o + 10 = -l, 5*l + 311 = -3*o + 309 for l. 2 Solve 7 - 9 = -2*c - u, -2*c + u + 10 = 0 for c. 3 Solve 0 = -5*h + 2*f + 7, -4*f = h + 4*h - 31 for h. 3 Solve 6 = -5*p - 4*x, 10*x = -3*p + 14*x - 10 for p. -2 Solve 4*s - 6*s = -5*p +
{ "pile_set_name": "DM Mathematics" }
+ 4. Let l be s(-13). Suppose -3*k = -2*h + 1690, 17*h - 3*k = 12*h + l. What is the units digit of h? 2 Suppose 5*c - 219810 = -35350. What is the ten thousands digit of c? 3 Let p(r) be the second derivative of 0 - 1/6*r**4 + 4*r**2 + 23*r + 25/6*r**3 - 1/20*r**5. What is the units digit of p(-6)? 2 Suppose v - 3*i + 2 = 0, 3*v + 2*v - 8 = -3*i. What is the tens digit of 10/(2 + 119/(-40) + v)? 0 Suppose -5*m = -4*k - 7751, -m + 123*k + 1543 = 124*k. What is the tens digit of m? 4 What is the units digit of (-3)/(-5)*(-12 + -237261*(-11)/33)? 5 Suppose 5*z + 1067 - 347 = 0. Let c = z - -187. What is the tens digit of c? 4 Let y = 32438 - 22097. What is the ten thousands digit of y? 1 Let m = -97 - -163. Let o(n) = n**2 - 8*n + 17. Let y be o(4). Suppose -m + y = -w. What is the tens digit of w? 6 Suppose -165*p + 3371550 = -15*p. What is the units digit of p? 7 Let g be (((-1)/2)/((-8)/224))/(-1). Let l be (0 + (-1)/3)*84/g. What is the units digit of (-451)/11*l*-1? 2 Let y(d) = -11*d**2 + d**3 + 34*d + 28*d**2 - 24 + 6*d**2 - 5 - 42. What is the hundreds digit of y(-20)? 4 Let b(z) be the third derivative of 1/3*z**4 + 4/3*z**3 + 0 + 0*z - 17*z**2. What is the tens digit of b(7)? 6 Suppose -20*w - 53*w + 448407 = -703825. What is the thousands digit of w? 5 What is the units digit of (-14 + 9)/(5 + 45072/(-9014))? 5 Let h(a) = 6 + 3*a - 2*a + 5. Let u be h(-6). What is the units digit of (-3)/(3 + 12) + 371/u? 4 Let k(w) = w**3 + 3*w**2 - 5*w - 4. Let r be k(-4). Let a(q) = r*q + 10 + q - 5 + 19*q**2 + 4*q. What is the tens digit of a(-2)? 7 Suppose 9 - 5 = 2*a. Suppose -308 = -a*i + 338. Suppose u = 2*f + 189, -3*u - f + i = -244. What is the tens digit of u? 8 Let m be 6/(1/3 - 8/16). Suppose -2*a = -5*t + 2*a - 3072, 2*t + 1230 = a. What is the hundreds digit of t/(-5) - m/45? 1 Let t(d) = 73*d**3 - 3*d + 2. Let g be t(1). Suppose g - 12 = 4*f. Suppose 0 = -5*c - f, 3*m - 97 = m + 5*c. What is the units digit of m? 1 Suppose -4*t + 40 + 354 = -3*y, 3*y = -2*t + 188. Suppose 732*q + 663 = 735*q. Let d = q - t. What is the hundreds digit of d? 1 Let x(o) = -84*o + 618 - 649 - 22*o - 6*o. What is the hundreds digit of x(-3)? 3 Let l be (14 - 12) + 0/4. Suppose 0 = 6*r - 3*r - z - 1537, -4*r = -l*z - 2046. What is the hundreds digit of r? 5 What is the units digit of (-65 + -1)/(26 + 38430/(-1476))? 4 What is the tens digit of ((-4334)/(-55))/((-8)/(-200))? 7 Suppose 0 = 49*q - 150354 - 232385. What is the tens digit of q? 1 Let o(z) = -114*z + 401. What is the tens digit of o(-74)? 3 Let r = 10694 + -2780. What is the tens digit of r? 1 Suppose 165 = 5*h + 5*w, 2*h - w - 60 = -0. Let c = 37 - h. What is the units digit of (c/4)/(78/6760)? 0 Let p(l) = 1772*l**2 + 31*l + 64. What is the units digit of p(-2)? 0 Let m(f) = f**2 - 7*f - 1. Let k be m(9). Let c(g) = -13*g - 9. Let z(s) = 37*s + 26. Let r(d) = k*c(d) + 6*z(d). What is the units digit of r(2)? 5 Let k = 1751 - 189. Let l = k + -914. What is the tens digit of l? 4 Let j be (-15 - -24)*1/(-3). Let m be 190 - ((-1)/(2 - 1) - j). Suppose -34*i + 32*i = -m. What is the tens digit of i? 9 What is the tens digit of (74971/(-52) + -5)/(3/(-4))? 2 Suppose 5*b - m - 22254 = 34616, 4*b + 2*m = 45510. What is the ten thousands digit of b? 1 Let s be 6/24*1/(-3)*0. Suppose s = -142*k + 146*k - 6416. What is the tens digit of k? 0 Let n = -64 + 45. Let w(h) be the first derivative of -3*h**2/2 + 6*h - 714. What is the tens digit of w(n)? 6 Suppose 10 = g + g. Let t be (-7414)/66*5/(15/(-9)). Suppose -3*k - k + 5*o = -t, g*k - 425 = 5*o. What is the tens digit of k? 8 Suppose 0 = -32*a + 131979 + 105013. What is the thousands digit of a? 7 Let z(b) = 110*b + 1635. What is the hundreds digit of z(-12)? 3 Suppose -24876 = -3*f + 4*d + 28007, 2*d = -2*f + 35232. What is the ten thousands digit of f? 1 Let i(m) = -2*m**3 - 6*m**2 + 3*m - 2. Let r be i(-4). Suppose -4*z + 94 = p - r, p + 33 = z. What is the units digit of z? 9 Let w = -11055 - -19220. Suppose -6532 = -4*h - s, 3*h - w = -2*h + 5*s. What is the hundreds digit of h? 6 Let y(i) be the third derivative of i**4/2 - 7*i**3/6 - 20*i**2. Let f(g) = g**3 - 8*g**2 + g - 5. Let b be f(8). What is the tens digit of y(b)? 2 Suppose 30*k - 28*k = -u + 5645, -5*u + 28160 = -3*k. What is the tens digit of u? 3 Suppose -244*f + 15074775 = 127*f + 250*f. What is the thousands digit of f? 4 Suppose -137 = 3*x - 2*s + 2522, 2*s = 4*x + 3548. Let l = -496 - x. What is the hundreds digit of l? 3 What is the hundreds digit of 15499 - (8 + 21*(-10)/30)? 4 Suppose -544887 = -45*c + 281063 + 337525. What is the units digit of c? 5 Let l = -498 + 33852. What is the thousands digit of l? 3 What is the units digit of 3433/((-24)/(-30) + (-1)/(-5))? 3 Let a(o) = 2*o + 32. Let x be a(-12). Let h(k) = k**3 - 14*k**2 + 6*k + 24. Let z be h(x). What is the units digit of (z/(-28) + 1/(-7))*13? 3 Let u(w) = 3*w**3 + 178*w**2 - 103*w + 79. Let t be u(-60). Suppose l + 2664 = -3*l. Let q = l - t. What is the hundreds digit of q? 2 Let d(a) be the second derivative of -a**3/6 + 9*a**2/2 + 13*a. Let s be d(6). Let l(q) = 10*q**2 - q + 2. What is the units digit of l(s)? 9 Let j be 3/(-9)*2*(188 + -14). Let b = j + 152. What is the tens digit of b? 3 What is the units digit of ((-219831)/5)/(-3) - 1 - 26/65? 4 Let f(b) = -22 + 74*b + 0 + 4 - 67*b. Suppose -63 = -2*s - 5. What is the hundreds digit of f(s)? 1 Let a(z) = -3*z + 1. Let o be a(-1). Let r(d) = 28*d**2 + 11*d - 36. What is the tens digit of r(o)? 5 Let s(t) = 24*t**2 + 5*t + 6. Let m be s(5). Let f be (-24)/(-18) + 4154/3. Suppose -5*z + m = 3*i - 751, -i - f = -5*z. What is the hundreds digit of z? 2 Let a(x) = -x**3 + 23410. What is the tens digit of a(0)? 1 Let d(u) be the third derivative of 19*u**4/12 - 8*u**3/3 + 173*u**2. What is the tens digit of d(3)? 9 Let d(g) = -26*g + 41. Let a be d(16). Let p = a - -682. Suppose 0 = 5*n - f - p, 5*f - 75 - 98 = -3*n. What is the units digit of n? 1 Let i(v) = 110*v + 85. Let t be i(17). Suppose -y + 6*y = t. What is the units digit of y? 1 Let i = -19777 + 28920. What is the tens digit of i? 4 Let o(x) = -2*x**3 - 6*x**2 - 2*x + 82. What is the tens digit of o(-11)? 4 Suppose 5*l = -4*c + 800, -5*c + 4*c = 0. Let x = l - 95. Let q = x - 40. What is the tens digit of q? 2 Suppose -6*r + 33 = -45. Suppose 408 = r*n - n. What is the units digit of n? 4 Suppose -158*j = -141*j - 214013. What is the thousands digit of j? 2 Let r = 0 - -12. Suppose b + 12485 = r*b. What is the thousands digit of b? 1 Suppose 2*q = 3*m - 3149, m = 3*q + 941 + 118. Let y = m + -568. What is the tens digit of y? 7 Let v be ((-59)/(0 - 1))/(-1). Let g = v + 66. Suppose 246 = -4*j + g*j. What is the tens digit of j? 8 Let t(d) = d**3 - 8*d**2 - 17*d + 87. What is the tens digit of t(9)? 1 Suppose -3*o - 5*o - 296 = 0. Let m = o + 55. What is the tens digit of (((-112)/(-12) - 3) + -3)*m? 6 Suppose -j + 5*a + 1789 = -7210, 2*a - 8 = 0. What is the hundreds digit of j? 0 Let i be (-36)/(-14)*1344/36. Suppose -t + 241 = -2*k, -i + 337 = t + 3*k. Let r = t + -146. What is the tens digit of r? 9 Let j(i) = 892*i**2 - 14*i + 15. Let k be j(1). Suppose 3*b - k = 460. What is the tens digit of b? 5 Suppose t = -3*h + 144, -3*h - 3*t + 60 + 84 = 0. Let n = -37 + h. Suppose -15*x + 72 = -n*x. What is the units digit of x? 8 Let n = 2 - -40. Let o be (14 + 1)/(n/70). What is the tens digit of (o/(-20))/((-1)/76)? 9 What is the tens digit of 54/(-3) + 45035 + 0? 1 Let i be ((-23)/46)/(2/8). Let b(q) = -34*q**3 - q**2 - 2*q. What is the units digit of b(i)? 2 Let l(k) = 10790*k - 4727. What is the ten thousands digit of l(5)? 4 Suppose -5*z + 4*p + 6103 = -9260, z - 3109 = 6*p. What is the tens digit of z? 6 Let g be (2/7)/(4/56). Suppose j = -3*u - 1, -4 = 6*u - g*u - j. What is the tens digit of u*160*20/(-16)? 0 Suppose 3*a - 29*a + 1030968 = 46*a. What is the ten thousands digit of a? 1 Let z = -1 + 3. Suppose 0 = -z*q + 4*q + 1512. What is the units digit of q/(-8) - 2/4? 4 Let m(s) = 35*s**2 - 2*s - 3. Suppose x + 0*g = -2*g + 67, -5*x - 4*g = -359. Let d = -77 + x. What is the units digit of m(d)? 1 Suppose 41*o - 37*o = 24. Suppose -o*l - 4 = -22. What is the units digit of 1*(-4)/(-6)*l? 2
{ "pile_set_name": "DM Mathematics" }
*d - 6. Suppose -2 = -2*q - d*o + 2, 5*q - 10 = 2*o. Let n = -0.08 - 3.92. Sort n, -0.4, 5, q in decreasing order. 5, q, -0.4, n Let o = 4277 + -4274. Sort -1, o, 0.01, 29 in descending order. 29, o, 0.01, -1 Let w = -16 - -68. Let j = w - 30. Let p = 3 + j. Sort p, 0.2, -2/9 in increasing order. -2/9, 0.2, p Let i be ((-2394)/844 - -3)/(10/(-15)). Let a = i - 1/211. Put -12, a, 0.5, -1 in descending order. 0.5, a, -1, -12 Let g = -27.3 - -42.6. Let o = g + -11.3. Put o, -2/5, -4 in increasing order. -4, -2/5, o Let m = 561 - 757. Let o = 195 + m. Put 0, 11/4, o in increasing order. o, 0, 11/4 Let w be 0 + (0 + 1 - 20). Suppose 2*p = 3*p + 1, 7 = 4*y + p. Suppose 0 = 18*f - 13*f - 5*z + 5, -4*z = -5*f. Put f, 1, w, y in increasing order. w, 1, y, f Suppose -6*p - 9 + 21 = 0. Let v = 18 - 16. Let a(y) = y**3 - 3*y**2 - y + 1. Let j be a(v). Sort p, j, -6, 1. -6, j, 1, p Let k be (-396)/(-180) - (-12)/15. Let z(p) = -p**3 + 4*p**2 + 4*p + 9. Let n be z(5). Put n, -2, k in increasing order. -2, k, n Let l(d) = -d**2 - 7*d + 11. Let m be l(-8). Suppose 0 = -m*q - 2*q. Suppose 2*r + 5*a - 38 = q, 3*r = -r - a + 58. Sort r, 0, 3 in descending order. r, 3, 0 Let q = -778 - -774. Let i = 47 - 58. Put q, 0.2, i, -3 in descending order. 0.2, -3, q, i Suppose 0 = -h + 3*p + 4, -3*h - 3*p + 26 = -22. Suppose -2 = -15*n + h. Sort 2, -3, -2, n. -3, -2, n, 2 Suppose 2*a - 7*b = -8*b - 48, -20 = -5*b. Sort a, 27, -4 in decreasing order. 27, -4, a Let a be -6*(20/54)/((-220)/(-495)). Put 0, 3/5, a, 1, 2/3 in descending order. 1, 2/3, 3/5, 0, a Let z = 81/5 + -49/3. Let q = -384.585 - -0.585. Let w = q - -387. Sort z, -0.3, w in descending order. w, z, -0.3 Let c = -69.5 - -71.5. Sort 3, 49, c. c, 3, 49 Let a(i) = i**2 - i - 1. Let u be a(2). Let h be (-23738)/77688 + 4/(-6)*2/3. Let m be (-4)/2*(-6)/(-14). Put u, h, m in descending order. u, h, m Let h(k) = k**2 + 8*k - 22. Let f = -69 + 23. Let z = f + 36. Let w be h(z). Sort 2, 4, w, 1 in increasing order. w, 1, 2, 4 Let k = -1120 - -911. Let p = -212 - k. Put p, -108, 3/4 in decreasing order. 3/4, p, -108 Suppose -40 = -4*t - 168. Let g be 4*(-1)/t - 39/56. Sort -4, g, 0.4, 1 in increasing order. -4, g, 0.4, 1 Let u = -272 - -262. Let b = -813 - -818. Put -0.5, b, u in decreasing order. b, -0.5, u Let h be 6/(-8)*32/(-12). Suppose -2*s = -3*l + h, -3*l + 4 = -5*l - 4*s. Let o = 25 + -26. Put -2, o, l in decreasing order. l, o, -2 Let s = -2.93593 - 0.06407. Sort -0.02, -110, s in increasing order. -110, s, -0.02 Let a be 3/(-15) - (-38)/(-10). Suppose 3*y + 5*h = 2, -22*h + 17*h + 4 = y. Put y, -3, a, 2 in increasing order. a, -3, y, 2 Let z = 80.031 + -0.731. Let l = z + -80.3. Put 0.7, -1/6, l in descending order. 0.7, -1/6, l Suppose d = -9*d + 7*d - 30. Sort 19, -4, d in decreasing order. 19, -4, d Let h(u) = u**3 - 117*u**2 + 129*u - 1513. Let d be h(116). Let l(t) = -t - 19. Let g be l(-8). Let z = -13 - g. Put -4, 13, z, d in descending order. 13, z, -4, d Let u = -9614 + 9605. Sort u, -5, 0, 8. u, -5, 0, 8 Let r(s) = 76*s**2 - 4*s + 2. Let z be r(1). Put -4, z, -2, 5 in descending order. z, 5, -2, -4 Suppose -2*f + 1 = -5*l + 15, 5 = -f + 2*l. Suppose -3*q - 443 = -446. Put -31, q, f, -2 in decreasing order. f, q, -2, -31 Let d be (2/(-8))/(209/(-44) + 4). Let y = -55 + 59. Let h = -0.11 - 0.29. Sort h, y, d in descending order. y, d, h Let y(n) = -179*n + 2872. Let i be y(16). Sort i, 20, 11 in descending order. 20, 11, i Let n = -0.5796 + 1.2696. Sort 5/2, n, 2/11, -2/11. -2/11, 2/11, n, 5/2 Let g = 13 + -16. Let n be 8*1*(-3)/(-6). Suppose 5*t + n*v = 13, -7*t - v = -3*t - 6. Sort t, g, -5, 2 in decreasing order. 2, t, g, -5 Suppose 3*o + 32 = 5*i + 345, 2*o - 4*i = 208. Let y = o + -101. Put y, 1, 37 in decreasing order. 37, y, 1 Suppose n + 7 = 2*u, 2*n + u = 7 - 11. Sort 6, n, -1, 0.4, 5 in increasing order. n, -1, 0.4, 5, 6 Suppose 5*v + 3*b + 2 = 4*v, -b = v. Let f be 4 + -4 + v/(-1). Sort -3, -0.1, 17, f in ascending order. -3, f, -0.1, 17 Let l be (11 - 12) + 868/917. Sort 1/4, -4/9, l, 0.3, -5. -5, -4/9, l, 1/4, 0.3 Suppose -15*h - 4*u + 2 = -20*h, -16 = 5*h - 2*u. Sort h, 19, 3 in ascending order. h, 3, 19 Let d = 73 - 34. Let g be 6/2*(41 - d). Sort g, 4, -2, -5 in ascending order. -5, -2, 4, g Let d(i) = i**3 - i - 14. Let q be d(0). Let k(p) = -p**2 + p + 4. Let b be k(0). Put -1, -3, b, q in increasing order. q, -3, -1, b Let m = 4892 - 4896. Put -1, -118, m, 5, 1 in decreasing order. 5, 1, -1, m, -118 Let j be (2/(-8))/(9/96*4). Let o = 0.0307 - -0.9693. Put j, -0.3, o in ascending order. j, -0.3, o Let p(s) = 2*s**2 + 5*s - 1. Let r be p(-4). Suppose 5*w + 0*w = -10. Let y be (r/22)/(-1*(1 + w)). Sort y, -0.4, -1 in descending order. y, -0.4, -1 Let v = -691 - -826. Let g = -117 + v. Sort 4, g, -0.5 in descending order. g, 4, -0.5 Let m be -3 + (1 - 3) + 4. Let b be (2/(-9) + (-162)/(-729))/2. Put 5, b, -3, m in increasing order. -3, m, b, 5 Let w(n) = 547*n - 8745. Let c be w(16). Sort 1, 246, c. 1, c, 246 Let o = -570223/15 - -38015. Let g = -5 + 0. Put o, -1, g, 1/7 in descending order. 1/7, o, -1, g Suppose -2013*x = -1961*x + 1300. Put 1/83, x, -1/4, 5 in descending order. 5, 1/83, -1/4, x Suppose 5*x + 3*l = -2*l - 30, -4*x = -3*l - 4. Let f = 6 - x. Suppose 33 = 7*b - 2. Sort 1, b, f in increasing order. 1, b, f Let n be 19 + -2 + (-1272)/72. Let p = 0.07 - 6.07. Sort 0.1, p, n in descending order. 0.1, n, p Suppose -4*n + 63 - 27 = 5*g, g - 24 = -5*n. Suppose -47 = n*s + 13. Put s, 2, 4, -5 in ascending order. s, -5, 2, 4 Let g = -7648 + 7712. Sort g, 2, 0, 5, 1 in decreasing order. g, 5, 2, 1, 0 Let b = -338 + 98. Let u = b - -240.4. Let p = -0.8 - 3.2. Put u, -1/6, p in descending order. u, -1/6, p Let d(y) = -33*y - 1717. Let p be d(-52). Put 5, -5, 47, p, 3 in decreasing order. 47, 5, 3, p, -5 Let a = -3632 + 3640.6. Put -4, a, 2/3 in descending order. a, 2/3, -4 Suppose 2*h - 8 = -2*d, h = -4*d + d + 8. Suppose -j + 3 = d*o - 9, -2*j = -o + 1. Let r be 2*9/12*j. Sort r, -5, 4. -5, r, 4 Let q = 115 - 78. Let m = q - 37.2. Let z = -4.8 + m. Sort z, -3/7, 0.4 in increasing order. z, -3/7, 0.4 Let w = 570.4 - 519. Let u = -51.2 + w. Sort -25, 3/2, u in decreasing order. 3/2, u, -25 Suppose 4*s + 0 - 8 = 0. Suppose -t + 1 = s*q, -4*t + q + 2*q + 4 = 0. Let a be (-96)/(-16) - 6 - 2/2. Put -5, a, 0, t in descending order. t, 0, a, -5 Let h be ((-8)/(440/(-11)) + (-14)/(-30))*-6. Put h, -509, 3 in increasing order. -509, h, 3 Suppose s = -1 + 3. Suppose 0 = s*t + 14 - 8. Put -51, -4, t in decreasing order. t, -4, -51 Let q(m) be the first derivative of 12*m**2 + 145*m + 230. Let k be q(-6). Sort 2, -5, k, 4 in ascending order. -5, k, 2, 4 Let j = -199 + 170. Let x(r) = 2*r**2 + 56*r - 61. Let k be x(j). Sort k, 3, 5 in descending order. 5, 3, k Let h = -499 - -306. Let i = -193.05 - h. Put i, -3, 0.1, 3 in descending order. 3, 0.1, i, -3 Let b be 2/(-3 + 5)*2. Suppose -h - 12 = b*y, 5*y - 6*h + 3*h + 19 = 0. Sort 2, -8, y, 4. -8, y, 2, 4 Let z = 0.6 - 0.7. Suppose 10 - 28 = -9*d. Suppose -d*g - 3 = m + 10, -3*g + m - 7 = 0. Sort g, 0.3, z, -0.2. g, -0.2, z, 0.3 Let p = -24 - -24.3. Let b = 1.686 - 1.586. Let u = -0.04 + -1.96. Put p, b, u, 1 in decreasing order. 1, p, b, u Let d be 156/(-585) - 1*2/5. Let u = 52.025 - 0.025. Put d, u, 2/11, 0.3 in descending order. u, 0.3, 2/11, d Let h(b) = 2 - 22*b - 18*b + 42*b. Let v be h(-8). Let d be (1/(-3))/(v/126). Put 1/6, d, -3 in decreasing order. d, 1/6, -3 Let d = 386.9 + -385.9. Put 5, -12, 2, 4/5, d in decreasing order. 5, 2, d, 4/5, -12 Suppose -4*m + 5*q + 6617 = 0, 5*m + m = -4*q + 9914. Sort 3, -1, m in descending order. m, 3, -1 Let y = 1541 - 1536. Sort -4, y, 4, 25 in ascending order. -4, 4, y, 25 Let r be (-4 + 21 - 13)/1. Let k(u) = -u**3 - 3*u**2 + 2*u + 2. Let y be k(2). Put y, r, -3 in ascending order. y, -3, r Let z = -372 + 3350/9. Sort z, 22, -1/18, -0.2 in increasing order. -0.2, -1/18, z, 22 Suppose 0 = 4*g - 5*y - 7, -g - 10 = -3*g - 4*y. Let n = 7.15886 - 0.15886. Put -3, n, g in increasing order. -3, g, n Suppose 0 = -19*b - 59 + 97. Suppose -9 = 4*i - o, -2*i + 84 - 90 = -b*o. Put 5, -5, i in decreasing order. 5, i, -5 Let y(r) = -r**3 + 31*r**2 - 185*r + 26. Let a be y(23). Let p = -6.7 - -23.8. Let v
{ "pile_set_name": "DM Mathematics" }
PM? 10:07 PM What is 42 minutes after 11:20 PM? 12:02 AM What is 677 minutes after 1:37 AM? 12:54 PM How many minutes are there between 9:47 AM and 5:11 PM? 444 How many minutes are there between 6:00 PM and 5:33 AM? 693 What is 394 minutes before 7:12 PM? 12:38 PM What is 304 minutes before 12:49 AM? 7:45 PM How many minutes are there between 12:30 AM and 8:35 AM? 485 How many minutes are there between 2:53 PM and 11:33 PM? 520 What is 424 minutes after 7:44 PM? 2:48 AM How many minutes are there between 10:56 AM and 9:16 PM? 620 How many minutes are there between 7:11 AM and 4:54 PM? 583 What is 596 minutes after 2:28 PM? 12:24 AM How many minutes are there between 2:19 PM and 7:24 PM? 305 How many minutes are there between 1:15 AM and 4:07 AM? 172 What is 166 minutes after 11:13 PM? 1:59 AM How many minutes are there between 3:00 PM and 9:27 PM? 387 What is 467 minutes before 7:20 AM? 11:33 PM How many minutes are there between 4:35 AM and 6:03 AM? 88 How many minutes are there between 12:28 AM and 10:01 AM? 573 What is 91 minutes after 7:03 AM? 8:34 AM How many minutes are there between 7:09 AM and 6:54 PM? 705 How many minutes are there between 1:39 AM and 12:23 PM? 644 How many minutes are there between 8:57 PM and 6:14 AM? 557 How many minutes are there between 10:35 PM and 1:58 AM? 203 What is 570 minutes after 3:23 PM? 12:53 AM How many minutes are there between 11:04 AM and 11:55 AM? 51 What is 583 minutes before 7:00 PM? 9:17 AM What is 181 minutes before 2:26 AM? 11:25 PM How many minutes are there between 6:46 PM and 4:42 AM? 596 How many minutes are there between 9:58 AM and 7:47 PM? 589 What is 503 minutes before 4:14 AM? 7:51 PM What is 289 minutes before 12:53 AM? 8:04 PM What is 223 minutes after 5:03 AM? 8:46 AM What is 526 minutes before 9:43 AM? 12:57 AM How many minutes are there between 10:48 PM and 11:00 PM? 12 How many minutes are there between 9:14 PM and 10:08 PM? 54 What is 496 minutes after 7:55 PM? 4:11 AM What is 328 minutes before 10:38 AM? 5:10 AM How many minutes are there between 2:54 AM and 12:27 PM? 573 What is 517 minutes after 5:36 PM? 2:13 AM How many minutes are there between 6:06 PM and 10:30 PM? 264 What is 367 minutes before 12:29 PM? 6:22 AM What is 260 minutes after 12:13 PM? 4:33 PM How many minutes are there between 3:03 AM and 9:14 AM? 371 How many minutes are there between 2:24 PM and 7:15 PM? 291 What is 508 minutes before 4:12 PM? 7:44 AM How many minutes are there between 7:54 PM and 12:00 AM? 246 What is 274 minutes before 3:15 AM? 10:41 PM What is 707 minutes before 9:55 AM? 10:08 PM What is 568 minutes before 1:01 AM? 3:33 PM What is 170 minutes after 9:44 AM? 12:34 PM What is 467 minutes after 6:24 AM? 2:11 PM How many minutes are there between 7:00 AM and 4:24 PM? 564 How many minutes are there between 3:07 PM and 9:46 PM? 399 What is 154 minutes after 8:21 AM? 10:55 AM How many minutes are there between 6:28 PM and 12:28 AM? 360 What is 69 minutes after 4:12 PM? 5:21 PM How many minutes are there between 9:41 PM and 5:15 AM? 454 What is 530 minutes after 3:13 AM? 12:03 PM What is 660 minutes after 5:11 AM? 4:11 PM How many minutes are there between 5:06 PM and 3:36 AM? 630 How many minutes are there between 3:44 PM and 10:44 PM? 420 What is 557 minutes after 9:56 AM? 7:13 PM What is 166 minutes after 11:48 PM? 2:34 AM How many minutes are there between 8:34 PM and 9:15 PM? 41 What is 145 minutes before 8:05 PM? 5:40 PM What is 107 minutes after 10:41 PM? 12:28 AM How many minutes are there between 5:54 PM and 8:26 PM? 152 What is 589 minutes after 7:49 PM? 5:38 AM What is 277 minutes after 9:06 AM? 1:43 PM What is 599 minutes before 12:23 AM? 2:24 PM What is 126 minutes after 4:39 AM? 6:45 AM What is 553 minutes before 8:31 AM? 11:18 PM How many minutes are there between 4:11 PM and 1:41 AM? 570 What is 526 minutes after 12:39 PM? 9:25 PM What is 661 minutes before 4:21 PM? 5:20 AM What is 6 minutes before 2:19 PM? 2:13 PM How many minutes are there between 8:58 AM and 4:07 PM? 429 How many minutes are there between 1:55 AM and 1:25 PM? 690 How many minutes are there between 2:38 PM and 2:24 AM? 706 How many minutes are there between 4:37 PM and 8:34 PM? 237 What is 547 minutes before 1:19 PM? 4:12 AM How many minutes are there between 6:50 AM and 10:45 AM? 235 What is 702 minutes before 8:48 PM? 9:06 AM How many minutes are there between 9:07 PM and 5:18 AM? 491 How many minutes are there between 6:19 PM and 1:47 AM? 448 How many minutes are there between 9:39 PM and 8:40 AM? 661 What is 10 minutes after 8:52 AM? 9:02 AM What is 376 minutes after 3:46 AM? 10:02 AM How many minutes are there between 4:36 PM and 11:34 PM? 418 What is 172 minutes after 8:51 PM? 11:43 PM What is 310 minutes before 8:17 AM? 3:07 AM What is 430 minutes before 8:45 PM? 1:35 PM How many minutes are there between 5:47 AM and 7:19 AM? 92 What is 679 minutes after 4:41 PM? 4:00 AM How many minutes are there between 12:30 PM and 2:14 PM? 104 How many minutes are there between 11:07 PM and 4:38 AM? 331 What is 246 minutes before 3:19 PM? 11:13 AM What is 474 minutes after 3:15 AM? 11:09 AM How many minutes are there between 6:47 PM and 6:57 PM? 10 What is 175 minutes after 1:44 AM? 4:39 AM How many minutes are there between 10:05 AM and 2:18 PM? 253 How many minutes are there between 10:23 AM and 6:39 PM? 496 How many minutes are there between 7:50 PM and 3:43 AM? 473 How many minutes are there between 2:23 PM and 4:06 PM? 103 How many minutes are there between 2:35 PM and 8:20 PM? 345 How many minutes are there between 10:47 PM and 7:56 AM? 549 What is 680 minutes before 5:57 AM? 6:37 PM What is 709 minutes before 3:48 PM? 3:59 AM What is 373 minutes after 3:52 AM? 10:05 AM What is 693 minutes after 10:54 AM? 10:27 PM What is 191 minutes before 9:24 PM? 6:13 PM How many minutes are there between 2:46 AM and 4:58 AM? 132 How many minutes are there between 10:53 PM and 10:26 AM? 693 What is 237 minutes before 8:06 PM? 4:09 PM What is 126 minutes after 3:36 PM? 5:42 PM How many minutes are there between 1:08 AM and 4:14 AM? 186 How many minutes are there between 10:17 PM and 5:13 AM? 416 How many minutes are there between 2:56 PM and 6:39 PM? 223 How many minutes are there between 4:28 PM and 11:16 PM? 408 What is 337 minutes before 11:03 AM? 5:26 AM What is 719 minutes before 7:32 AM? 7:33 PM How many minutes are there between 5:07 PM and 7:41 PM? 154 How many minutes are there between 9:01 AM and 10:51 AM? 110 What is 11 minutes after 8:06 PM? 8:17 PM How many minutes are there between 4:44 PM and 6:41 PM? 117 How many minutes are there between 3:56 PM and 10:30 PM? 394 What is 657 minutes before 3:26 AM? 4:29 PM What is 419 minutes after 4:34 PM? 11:33 PM What is 144 minutes before 6:09 PM? 3:45 PM How many minutes are there between 6:31 PM and 4:01 AM? 570 How many minutes are there between 6:05 PM and 10:42 PM? 277 What is 194 minutes after 4:55 PM? 8:09 PM How many minutes are there between 8:49 PM and 5:11 AM? 502 How many minutes are there between 7:26 PM and 6:07 AM? 641 How many minutes are there between 6:23 AM and 10:06 AM? 223 How many minutes are there between 11:10 AM and 7:47 PM? 517 How many minutes are there between 8:48 AM and 9:07 AM? 19 What is 685 minutes before 1:58 AM? 2:33 PM What is 636 minutes before 5:24 PM? 6:48 AM How many minutes are there between 8:49 AM and 7:14 PM? 625 How many minutes are there between 6:50 PM and 1:17 AM? 387 How many minutes are there between 5:47 AM and 6:56 AM? 69 How many minutes are there between 1:53 PM and 6:56 PM? 303 What is 585 minutes after 3:15 AM? 1:00 PM What is 502 minutes after 9:07 AM? 5:29 PM How many minutes are there between 11:17 PM and 3:56 AM? 279 What is 630 minutes after 9:39 AM? 8:09 PM What is 530 minutes after 3:41 AM? 12:31 PM How many minutes are there between 12:53 AM and 4:07 AM? 194 How many minutes are there between 6:22 AM and 12:06 PM? 344 What is 416 minutes after 7:23 AM? 2:19 PM How many minutes are there between 11:41 AM and 4:15 PM? 274 What is 27 minutes after 11:53 AM? 12:20 PM What is 634 minutes after 5:31 AM? 4:05 PM What is 366 minutes after 11:03 AM? 5:09 PM What is 388 minutes after 9:45 AM? 4:13 PM How many m
{ "pile_set_name": "DM Mathematics" }
ulate the remainder when c is divided by 16. 13 Suppose 2*h - 4*y - 12 = 8, -y = 2. Let l(n) = n**2 - 2*n - 5. What is the remainder when 55 is divided by l(h)? 17 Let d(j) = j**3 + 8*j**2 + 3*j - 9. Calculate the remainder when d(-6) is divided by 34. 11 Suppose -10*y + 29 = -81. Calculate the remainder when 25 is divided by y. 3 Let j = -2 - 2. Let n = j - -4. What is the remainder when -1 + n - (1 + -29) is divided by 14? 13 Let w(z) = -z + 3. Let l be (12/10)/((-2)/20). Let t be w(l). Suppose 0 = -2*x - 5*o + 17, 0*o + 3*o = -2*x + t. What is the remainder when 17 is divided by x? 5 Let c(p) = p**3 + 8*p**2 + 8*p - 4. Let a be c(-7). Let r = 15 + a. Suppose -2*w + r = -0*w. Calculate the remainder when 3 is divided by w. 1 Let y be ((-3)/(-1))/((-2)/(-2)). Suppose -y*j + 122 = 4*u, -3*j - 127 = -5*u + 12. Calculate the remainder when u is divided by 15. 14 Suppose 3*i = 2*q - 15, -i + 42 - 7 = 2*q. What is the remainder when 59 is divided by q? 14 Let w = -25 + 39. Calculate the remainder when 53 is divided by w. 11 Suppose 0 = -2*c + 28 - 8. Let t = -56 - -84. Calculate the remainder when t is divided by c. 8 Let t(s) = -s**3 - 8*s**2 - 8*s + 9. Let m be t(-7). Suppose o - m = -o. Calculate the remainder when o is divided by 3. 2 Calculate the remainder when 3 + (67/1)/1 is divided by 18. 16 Suppose 14 + 1 = 3*n. What is the remainder when 9 is divided by n? 4 Suppose 6*i = 5*i + 97. Calculate the remainder when i is divided by 20. 17 Let i(m) = 2*m - 5. Let r be i(4). Let d = 3 + r. Let q = 33 - 23. Calculate the remainder when q is divided by d. 4 Let w be 8/36 + 75/27. Calculate the remainder when -76*(w - 4) + 1 is divided by 20. 17 Suppose z = 1 + 3. Suppose 4*a = z + 8. Suppose -a*p + 2*f + 0 = -5, -4*p - 2*f + 30 = 0. What is the remainder when p is divided by 2? 1 Calculate the remainder when -2 - 1/(1/(-92)) is divided by 31. 28 Let f(d) = 2*d**3 - 3*d**2 + d - 1. Let m be (-26)/(-4) - (-15)/(-10). Let p(r) = 2*r**2 - 7*r - 1. What is the remainder when p(m) is divided by f(2)? 4 Let s = -18 + 17. Let b(l) = 72*l**2 + l + 2. What is the remainder when b(s) is divided by 25? 23 Let m = 62 + -37. Suppose -5*l = -r + 109, 0*r - l = -2*r + 200. Calculate the remainder when r is divided by m. 24 Calculate the remainder when 33 is divided by 204/(-8)*2/(-3). 16 Suppose -i = 5 - 0. Let j be (4/i)/(4/(-10)). What is the remainder when 4 is divided by ((-3)/(-9))/(j/18)? 1 What is the remainder when (-7)/((-7)/(-26))*-2 is divided by 27? 25 Suppose -139 = -5*j + 56. Calculate the remainder when j is divided by 10. 9 Let s(l) = 39*l - 4. Let z(q) = -77*q + 7. Let a(b) = -7*s(b) - 4*z(b). Calculate the remainder when a(1) is divided by 9. 8 Suppose 164 = 2*i - 3*f, 5*i + 3*f = -f + 456. What is the remainder when i is divided by 15? 13 Suppose -n - 699 = -264. Calculate the remainder when 109 is divided by 3/12 + n/(-20). 21 Suppose 150 = 5*y + 2*o + 3*o, -4*y + 5*o + 120 = 0. Suppose -c - 4*c + 115 = 2*j, -y = -c + j. What is the remainder when c is divided by -15*(1 - (-8)/(-5))? 7 Let r(a) = -2*a**2 + 10*a + 2. What is the remainder when (-118)/(-6) + 6/(-9) is divided by r(4)? 9 Suppose -2*s = -2*h + h + 45, -4*h - s = -144. Suppose 3*o = -2*y + h, -2*y = 3*o + 3*y - 52. Calculate the remainder when o is divided by 3. 0 Suppose -13*l + 32 + 111 = 0. Let v(n) = -11*n - 1. Calculate the remainder when v(-2) is divided by l. 10 Suppose 3*k - 26 - 4 = 0. Let h(l) = -8*l - 1. Let o be h(1). Calculate the remainder when (261/o)/(-1*1) is divided by k. 9 Suppose -200 = -6*b + b - 5*j, -4*j - 191 = -5*b. Let m(q) = 6*q - 8 - 2*q + 0 + 0*q. Calculate the remainder when b is divided by m(7). 19 Let c(l) = 2*l - 2. Let j be c(11). What is the remainder when 129 is divided by 664/j + (-2)/10? 30 Let y(s) = -s + 22. Let i be y(0). Let z = i + -9. What is the remainder when 37 is divided by z? 11 Suppose -3*w - 2*s + 470 = 0, 441 = 5*w - s - 325. Calculate the remainder when w is divided by 12. 10 Suppose 0 = -0*i + 3*i - 4*s - 79, -5*i + 5*s = -125. Let u = -5 + 9. Let g(x) = 4*x - 5. What is the remainder when i is divided by g(u)? 10 Let q = -2 + 1. Let t(r) = 5*r - 33. Let d be t(10). Let l = d + q. Calculate the remainder when 47 is divided by l. 15 Suppose -45 = 5*h + 5*x, 11 + 1 = -4*x. Calculate the remainder when 46/(-3)*27/h is divided by 18. 15 Let n = -17 + 10. Let p(c) be the first derivative of -c**4/4 - 8*c**3/3 - 9*c**2/2 + 2*c - 2. What is the remainder when 31 is divided by p(n)? 15 Suppose 8 = -4*z + 6*b - 2*b, -4*z + 28 = 5*b. Suppose -5*w + 5 = -5. Calculate the remainder when 6 + w*1/z is divided by 3. 1 Suppose -7*o = -4*o - 108. What is the remainder when 24/((0 + -2)/(-2)) is divided by (-2)/(-12) - (-318)/o? 6 Let n = -13 + 16. Calculate the remainder when 12 is divided by n. 0 Calculate the remainder when 37 is divided by (0 - -16) + 3/(-1). 11 Suppose -2*a = -0*a + 6. Let u = -1 - a. What is the remainder when (-4 + u - -15) + 1 is divided by 8? 6 Let p = -6 - 0. Let d = -4 - p. What is the remainder when 4 is divided by d? 0 Let l = -8 + 13. Let c(s) = 7*s - 5. Let q be c(l). Suppose p - 35 = -2*h, -q = 5*p + 4*h - 175. Calculate the remainder when p is divided by 9. 7 Let x = -29 + 52. Calculate the remainder when x is divided by 75/12 - (-1)/(-4). 5 Suppose 0 = -2*f + 8 - 0, 5*w - 61 = f. Calculate the remainder when 21 is divided by w. 8 Let c be (-6)/(-10)*5*1. Let o = c - -5. Suppose -v + o = 2. Calculate the remainder when 10 is divided by v. 4 Let z be (-26)/6*3/1. What is the remainder when 24 is divided by z*(1 - (4 - 2))? 11 Suppose 2*p + 5*q - 57 = 0, -2*p - 6 = q - 75. What is the remainder when 16 is divided by (1/(-2))/((-2)/p)? 7 Suppose 80 = -3*r + 23. Let g = -3 - r. Suppose 44*i = 1417 - 97. Calculate the remainder when i is divided by g. 14 Let s = -35 - -23. What is the remainder when (59/3)/((-4)/s) is divided by 20? 19 Let n(h) = -4*h + 25. Calculate the remainder when n(0) is divided by (-14)/(-2 + 2/2). 11 Suppose -i = -1 - 2. Let y = i + 5. Suppose -h + 3 = 5*w + 5, 3*w = -2*h + 31. What is the remainder when h is divided by y? 7 Let v = -30 - -38. Suppose l + 3*l = 0. Calculate the remainder when v is divided by (-25)/10*(l + -2). 3 Suppose -7*r + 18*r = 528. Calculate the remainder when r is divided by 10. 8 Let j(i) = 4*i**2 - i + 1. Calculate the remainder when 37 is divided by j(-2). 18 Let l be 3 - (3 - (8 - 4)). Suppose -5*f - y = -l*f - 55, -5*f + 268 = -2*y. Calculate the remainder when f is divided by 14. 12 Suppose 5*y - 64 - 6 = 0. Suppose 3*w - y = 13. Calculate the remainder when 25 is divided by w. 7 Let m = 49 + -23. Let c = -16 + 30. Calculate the remainder when m is divided by c. 12 Let l(d) = d**2 - 3*d - 8. What is the remainder when l(6) is divided by 3? 1 Let o(w) = w**2 - 7*w - 2. Let m be 3 - (3 + (-3 - -1)). Suppose m*g + 6 = f, f - 3*f + 3*g + 14 = 0. What is the remainder when o(-3) is divided by f? 8 Let k(b) = -b**3 + 10*b**2 + 10*b + 26. Calculate the remainder when k(11) is divided by 9. 6 Suppose -4*w - w + 214 = 3*u, -2*u - 2*w = -136. What is the remainder when u is divided by 13? 11 What is the remainder when (-12864)/(-240) - (-1)/5*2 is divided by 28? 26 Suppose 3*m = -i + 37, 0 = -m - 4*i - 0 - 6. Suppose y = -0*y + m. What is the remainder when 40 is divided by y? 12 Calculate the remainder when 7 is divided by ((-5)/3)/(3/(-9)). 2 Suppose 0 = -2*x + 3*x + 37. Suppose -2 = 3*i - 11. What is the remainder when 4/(-14) - x/7 is divided by i? 2 Suppose 3*k = -o + 6*o - 73, -3*k = o - 29. What is the remainder when 46 is divided by o? 12 Suppose -57 + 15 = -2*t. Suppose 0*j - j = -t. Suppose -33 = g - 4*g. Calculate the remainder when j is divided by g. 10 Let t be -4 + (1 - -3) + -107. Let b = -40 - t. What is the remainder when b is divided by 34? 33 Let f = 32 + -15. What is the remainder when f is divided by 8? 1 Let l = -1 - -3. Suppose 4*s + 9 - 1 = -4*h, 0 = -h + 3*s + 18. Let v = 7 - h. What is the remainder when v is divided by l? 0 Suppose -3*t + 8*t - 60 = 0. What is the remainder when 95 is divided by t? 11 Let n = -226 + 232. Suppose 47 = 3*c + 2. Calculate the remainder when c is divided by n. 3 Let w = 11 - 5. Suppose 0 = -4*t + 19 + 89. What
{ "pile_set_name": "DM Mathematics" }
-2 - 0. What is the nearest to 0 in j, -5, k? k Let l = -287710 + 287709.8. Let k = -4 - -7. What is the closest to l in k, 5, -10? k Let a = -55315/4 - -13829. Suppose -k + 6*q - 2 = q, 0 = 3*k - 5*q + 6. What is the closest to a in k, -0.3, -24? -0.3 Let w = -0.531 + -21.319. Let i = w + 22. What is the nearest to -2/5 in 3, i, -0.2? -0.2 Let j be 1/21 - (-2)/7. Let g = 76628 - 76630. What is the closest to j in g, 1, -8/17? 1 Let f = -106.9 + 125. Let p = 19.7 - f. Let x be (-4)/(-9) - 1/3. Which is the nearest to p? (a) x (b) 2/5 (c) -2 b Let h = -0.167 - -0.072. Let k = h - -0.165. Suppose -10 = -5*w - 0*f + 3*f, 5 = -f. Which is the nearest to 2/7? (a) -3 (b) k (c) w b Let r be (-24 - -14) + (1 + 216)/7. Which is the nearest to -1? (a) r (b) -2 (c) -1.2 (d) 4 c Let c = -4250 + 4238. What is the nearest to 2 in 2/11, -1/5, 3/5, c? 3/5 Let t = 2.28 - 6.28. Let n(s) = 9*s**3 - 1. Let p be n(-1). Let j be 0/(1 - p/(-5)). What is the nearest to 0.4 in j, 0.3, t? 0.3 Let n be 151/2265 - (-104)/(-210). Which is the nearest to 0.03? (a) 2 (b) 0.1 (c) n (d) -2 b Let m = -27.6936 + 2.6936. What is the nearest to -2/11 in m, 2/7, -2/11? -2/11 Let m be 0 - (-12)/(-4)*-1. Let l = 17.36 - -222.04. Let s = -239 + l. Which is the closest to 0? (a) m (b) 0.09 (c) s b Let j = 0.1169 + -0.1169. Let g be ((-44)/(-8))/(2/20). Which is the nearest to g? (a) 0.1 (b) 2 (c) j b Let i = 0.5 + -1.5. Let n = 503 + -604.6. Let o = 102 + n. Which is the closest to -1/3? (a) i (b) o (c) -2 a Let u = 25.2 - 24.46. Let z = 0.24 - u. Which is the closest to -1? (a) 3 (b) -3/5 (c) z b Let r = 289.74 + -289.79. Which is the closest to 0.11? (a) 20 (b) 5 (c) 0.1 (d) r c Let x be ((-16)/(-24))/(272/(-51)). What is the nearest to 3 in 0.04, 1/3, x? 1/3 Let h(m) = 2*m**2 - 2*m + 14. Let j be h(6). Let w = j + -94. Let p be (-2)/18 + w/(-6) + -3. Which is the nearest to -2/9? (a) p (b) -1/4 (c) -3/4 b Suppose 66*y - 483 = -219. Which is the closest to -1068? (a) y (b) 1 (c) 5 b Let k(o) = 31*o + 27*o - 46*o - 17. Let p be k(-9). Which is the nearest to p? (a) -5 (b) 1/5 (c) -2 a Let x = 12.5 - 31. Let i = x + 10.4. Let j = -8.5 - i. Which is the closest to 2/5? (a) -1/5 (b) -1/6 (c) j b Let a = -2 - 2. Let m = 3193/3 - 1064. What is the closest to m in -5, 1, a? 1 Let m = -22 + 31. Let h = m - 10. Let l = -63 - -62.9. What is the closest to h in 4, -5, l? l Let q = 9.4 - -2.6. Suppose -2*t = -5*d - 1253, 0 = -d + 5*t - 89 - 180. Let i = d + 245. Which is the closest to -1/4? (a) i (b) 2 (c) q b Let j = 182 - 269. Let g = -437/5 - j. Which is the closest to 0? (a) 2 (b) g (c) 12/7 b Let o = 19.442 + -14.442. Which is the nearest to -3/14? (a) -2/13 (b) -1/4 (c) o (d) -1 b Let z = -1049/3120 + 3/1040. What is the nearest to -4 in z, -2, -2/33, 0? -2 Let j = 11 + -16. Let l = -4.9 - j. Let u = -15/14 + 11/14. What is the nearest to l in 0.3, -3, u? 0.3 Let g = 22182 - 22185. Which is the closest to -0.1? (a) -0.329 (b) 5 (c) g a Let o = 352 + -353. Let x = -3 - -19. Let n = -16.4 + x. Which is the nearest to 0.2? (a) -0.3 (b) n (c) o a Let d = 12.05 + -12.53. What is the closest to 3/2 in -5, -0.3, d? -0.3 Let z = -32.421 - -31.921. Which is the closest to 0.1? (a) z (b) -1/5 (c) 2/47 (d) 0 c Let n = 0.2113 + -3.2113. Which is the nearest to 2/3? (a) n (b) -1/2 (c) -19 b Let o = -107 + 323/3. Let j = -13 - -13. Let g = -12 + 15. Which is the closest to o? (a) 0.3 (b) j (c) g a Let k = -3 - -5. Let q = -107.1 - -107.6. What is the closest to 2 in 25, k, q? k Let p be -1 + (-1)/(-6)*2. Let w = -625.68 - -1.68. Let g = w - -623.8. Which is the nearest to p? (a) -5/4 (b) g (c) -0.3 c Let f = 308.4 - 244.4. Which is the closest to f? (a) -0.11 (b) 0.2 (c) -0.5 b Let j be 18/12 + 5 - (-42)/(-6). Let i be (-6)/27 + 7/18. Which is the closest to j? (a) 3 (b) i (c) 1/5 b Let o be (-44)/154*(0 - (-28)/(-92)). What is the nearest to o in 0.2, -4, 2, -1/4? 0.2 Let v = 10.8 + 664.2. Let w = v - 677.936. Let r = -0.064 + w. Which is the closest to -6? (a) -4 (b) r (c) -5 c Let a be (-1)/(-4) - 12/48. Let p(u) = u**3 + 6*u**2 - 9*u - 53. Let m be p(-6). Let c = 9 - 3. What is the closest to m in -0.2, c, a? a Let v(b) = -3837*b - 42212. Let c be v(-11). Let a be (6/13)/3 - 0. What is the closest to 1/2 in 0.05, a, c, 0.15? a Let u be 2/4*(15 - 15). Suppose 5*i - q - 2*q - 8 = u, 3*i + 2*q - 1 = 0. Let x be 3*-1*i/15. Which is the closest to 0? (a) 4 (b) 1 (c) x c Suppose 0 = -5*v + 9 + 11. Suppose -v*x + 4*s = 0, -5*x - 5*s + 0*s + 20 = 0. Let q = -11.5 + 11. Which is the closest to 0.1? (a) x (b) q (c) -1/8 c Let v = -478 + 476. Let l = 217/30 - 37/5. What is the closest to 1 in v, l, 0.02? 0.02 Let r = -24853/5 + 4971. Which is the nearest to 35? (a) 3 (b) r (c) 6 (d) -5 c Let q = -287 - -2869/10. Let f = 35 - 47. Which is the closest to 3? (a) -5 (b) 0 (c) q (d) f b Let r = 16326 - 16327. Which is the closest to -1? (a) 10/57 (b) -2/15 (c) r c Let w = 8 - 4. Let o be ((-60)/(-9))/((-17)/9639). Let s be (8/(-18))/2 + (-1650)/o. What is the nearest to s in -2/13, -0.3, w? -2/13 Let z be 66/78 - 1 - 585/(-507). Which is the closest to -0.26? (a) -1/7 (b) z (c) 0.43 a Let v = -19637 - -19639. Suppose 2*u - 1 + 5 = -2*m, -2*m + 5 = -u. What is the closest to 0 in m, v, 1/11? 1/11 Let t = 330784/9 + -36754. What is the closest to 1 in 11, 53, t? t Suppose 636*h - 640*h = -16. Let j = -19 - -34. What is the nearest to 1/4 in j, h, -2? -2 Let t(n) = n**2 - 8*n - 11. Let y be t(-5). Suppose -1 = 5*l + 4. Let f be (((-3)/5)/l)/(y/(-135)). Which is the closest to f? (a) -1 (b) 4 (c) 2 a Let l = -90619/16 - -1585233/304. Let g be (1 + 1335/12)*-4. Let w = g - l. What is the nearest to -2/7 in -5, w, -0.3? -0.3 Let t be 18/150*(-390)/(-52). Which is the nearest to 1/3? (a) 5 (b) 2/9 (c) -0.4 (d) t b Let i = -20.41 + 20.81. Let h be (-64)/(-11) + 4/22. Let n be 9/(-10) - h/(-15). What is the nearest to -1/5 in i, 2, n? n Suppose -59 = -270*q - 452 - 417. Let k = -2 - 2. What is the closest to -3 in 0, q, k? q Let w = -62.5 + 61.5. Let s(t) = 2*t - 14. Let q be s(9). Which is the closest to w? (a) -1/6 (b) q (c) 5 a Let n = -112 - -46. Let v = -0.007 + -0.993. What is the closest to v in 1/2, -3/7, n? -3/7 Let i = 1 + -0.9. Let y = 1655 + -1656.678. Let x = -0.322 + y. What is the nearest to 1 in i, x, -0.5? i Let f = -445 + 445. Let o = -28 - -30. Which is the nearest to 54? (a) f (b) 1 (c) o c Let d = -45007/9 - -5001. Which is the closest to d? (a) 0 (b) 1/3 (c) 145 b Suppose -5*g = 5*c, 0*g - 2*c = -2*g. Let u be (-3)/(-2)*22/(-33). What is the closest to g in -6, 5, u? u Let u = 0.07565 + 0.04435. What is the closest to -1 in -1, 5, 3, u? -1 Let r = -31959 + 31958.6. Which is the closest to -5? (a) -1 (b) r (c) -0.128 a Let m = -3054 + 3050. What is the closest to 2/9 in -5, m, -0.11? -0.11 Let f(o) = 4*o - 11. Let w be f(3). Which is the nearest to 0? (a) -1/9 (b) w (c) -19 a Let h = -0.757 + 5.757. Which is the nearest to 1? (a) -0.03 (b) h (c) -0.2 (d) -5 a Let k = -2.5 - -7.5. What is the nearest to 0.15 in k, -1, -13? -1 Let f = -0.09 + 1.69. Let x = f + 37.3. Let q = 39 - x. Which is the nearest to q? (a) -1/3 (b) -3 (c) -0.1 c Let j = -29523 + 29523.05. What is the closest to -1 in 2, 9.8, j, -0.4? -0.4 Let n = -7.835 - -7.905. Which is the nearest to -2/3? (a) -11 (b) n (c) 0.4 (d) 0.2 b Let m = -2.117 - -2.117. What is the nearest to 4 in m, 0.02, -5? 0.02 Let c = -4 - -4.4. Suppose -11*t + 16*t = -100. Let z be 4 + (-44)/t*-2. What is the closest to 1 in z, c, 0? c Suppose 95*l = -47*l + 124 + 18. Which is the nearest to 5? (a) 21 (b) l (c) 2 c Let x = 8 - 235. Let i = 231 + x. Let h = 99 - 692/7. Which is the closest to 0.1? (a) h (b) i (c) 1/5 a Let v = 0.23713 - -3.76287. What is the closest to 1/19 in 1, 2/9, v, 5/4? 2/9 Let c be ((-1)/(-8))/(-1 + 0). Let g = 0.033 + -5.033. Let v = -13 + 12.6. What is the nearest to c in -2, v, g? v Let g = -0.43 + -0.85. Let j = g + -0.02. Let t = j + 1.2. Which is the nearest to 1? (a) t (b) 5/4 (c) 0 b Let k = 81.89 - 81.69. Which is the nearest to k? (a) 2/3 (b) -63 (c) -2/9 (d) -1 c Let m = -16633/4 +
{ "pile_set_name": "DM Mathematics" }
v. List the prime factors of d/(-8)*(-2 + 6). 13 Let h(b) = 2*b**3 - 5*b**2 + 3*b + 3. List the prime factors of h(3). 3, 7 Let h = 5 - -12. Let m = -8 + h. Suppose m = 4*b - 47. List the prime factors of b. 2, 7 Suppose 5*d - 30 = -o, 3 = -d + 4*d. What are the prime factors of o? 5 Let p be (-28)/(-6) - 1/(-3). Suppose 3*a - 2*a + p*j = 39, 83 = 3*a - 2*j. What are the prime factors of a? 29 Let t be -58*((-6)/4 + 1). Let f be ((-12)/(-14))/((-4)/84). Let i = f + t. List the prime factors of i. 11 Let i = 23 - 12. List the prime factors of 3 - (0 - (-3 + i)). 11 Let o be 8*(3 + 3/(-2)). List the prime factors of o + (-3 + 2 - 2). 3 Let w = -26 - -37. What are the prime factors of w? 11 Suppose v - 2*t - 57 = -0*t, 0 = 5*v - 4*t - 303. List the prime factors of v. 3, 7 Suppose 4*u + 609 - 1773 = 3*i, -5*u = 2*i - 1432. Let a be u/11 - (-4)/(-22). Let x = -14 + a. What are the prime factors of x? 2, 3 Let r(o) = o**3 + 20*o**2 - 51*o + 34. What are the prime factors of r(-22)? 2, 47 Suppose 0 = 5*h - 7 - 3. Suppose 0*r = -2*b + h*r + 40, -2*b + 25 = 3*r. Suppose 3*d = -12, d - b = -2*i + 7. List the prime factors of i. 2, 7 Let o(q) = 2*q**2 - 3*q + 2. Let p be o(-4). Suppose -p = -5*v - 1. Let f(x) = -x**3 + 10*x**2 - 9*x + 6. What are the prime factors of f(v)? 2, 3 Let a(j) = 10*j. What are the prime factors of a(4)? 2, 5 What are the prime factors of 1422/27*(-6)/(-4)? 79 Suppose 0 + 8 = m. List the prime factors of m. 2 Suppose -12 = -2*c - 0*l + 4*l, -8 = 4*l. Let r be (c - 8)*(-5 + -1). Let h = r - 26. What are the prime factors of h? 2, 5 Let u be (0 - -6) + -10 + 7. Let c(o) = 2*o. List the prime factors of c(u). 2, 3 Let w = -4 + 1. Let n(y) = y**2 + 5*y + 3. Let r be n(w). Let g = 6 - r. What are the prime factors of g? 3 Let r = 11 - 8. Suppose r*w = -0*h + 5*h + 37, -5*w + 5*h = -65. List the prime factors of w. 2, 7 Suppose 0*c + 8 = -4*c. Let p(g) = -g**3 - g**2 - 2. Let r be p(c). Suppose -r*k = -2*b + 18, k - 5 = b - 2*b. What are the prime factors of b? 7 Let j = -74 - -160. List the prime factors of j. 2, 43 Let c = -5 + 13. List the prime factors of c. 2 Let z = 30 + -21. Suppose z*k - 140 = 5*k. List the prime factors of k. 5, 7 Suppose 5 = -y, -y + 0 + 1 = c. Let q = 15 - c. What are the prime factors of q? 3 Suppose 2*o + 0*o - 22 = 0. Suppose -5*f = -o - 29. What are the prime factors of f? 2 Suppose -6*o + 27 = -3*o - 2*i, 0 = 2*i. Let x(m) = m**3 - 8*m**2 - 6*m - 9. List the prime factors of x(o). 2, 3 Suppose -3*w = -2*j - 2, -5*w + j + 25 = 2*j. List the prime factors of (14/w - -2)*2. 11 Suppose -4*x - 2*s = -3*x - 212, -620 = -3*x + 2*s. Suppose 0 = 4*o + o - 15, 3*o - 21 = -2*g. What are the prime factors of (-2)/g + x/12? 17 Suppose 0 = 3*b + m - 208 + 9, -4*b - 4*m + 268 = 0. What are the prime factors of b? 2, 3, 11 Let v be 2/9 - 20/9. List the prime factors of 1/v + (-63)/(-18). 3 Let j(g) = 82*g - 10. List the prime factors of j(2). 2, 7, 11 Suppose 0 = -2*b - b + 126. List the prime factors of b. 2, 3, 7 Suppose -4 = 2*u - 0. Let b(g) = -g - 2. Let a be b(u). Suppose -3*h = -f - h + 15, f - h - 17 = a. List the prime factors of f. 19 Let u(o) = -13*o - 93. List the prime factors of u(-27). 2, 3, 43 Let s(b) = -4*b - 17. Let d be s(10). List the prime factors of 1/(1 + d/58). 2, 29 Let t be 1/(1 + -1 + -1). Let p = t - -1. Suppose -3*a + 3 + 9 = p. What are the prime factors of a? 2 Suppose 0 = 5*c - 9*c - 24. Let z(q) = -5*q - 1. Let u be z(-3). Let y = u + c. List the prime factors of y. 2 Let v be -2 - -3 - (-1 - 0). Let c(y) = -y**2 + 7*y + 8. Let q be c(8). Suppose -v*l + 4*m + 12 = q, 0 = l + 2*l - 4*m - 22. List the prime factors of l. 2, 5 Suppose 5*r + 40 = 3*t + 2*t, t - 23 = 4*r. What are the prime factors of t? 3 Suppose -4*l + 6 = -2. Suppose -l*m = 2*i - 36, -m - 19 - 19 = -3*i. List the prime factors of 1*1/2*i. 7 Let b(c) = c**3 - 11*c**2 - 2*c - 3. Let s be b(11). What are the prime factors of (-6)/(-8) + s/(-20)? 2 Suppose w - b + 0 = 1, 4*b + 12 = -4*w. Let j be -2*3/(-6) - w. Suppose 0 = j*v + 8, 2*r - 5*v - 70 = -3*r. List the prime factors of r. 2, 5 Let y(h) = h**2 + h + 2. Let b be y(0). Let s(u) = -4 + 1 + 4 - 5*u + 2*u**b. List the prime factors of s(4). 13 Let r(w) = w**3 + 13*w**2 + 10*w - 11. Let v be (-9 - -7) + (-10 - 0). What are the prime factors of r(v)? 13 Let l(m) = -m - 3. Let q = -1 - 6. List the prime factors of l(q). 2 Let j(k) be the second derivative of -k**5/4 + k**4/12 + k**3/6 - k**2 + 3*k. Let g be j(-2). What are the prime factors of (18/(-15))/((-6)/g)? 2 Let a = -158 - -161. What are the prime factors of a? 3 Let u(a) = 3*a**2 + 2*a - 4*a**2 + 9*a**2 - 1. Let m be 2/9 + (-21)/(-27). List the prime factors of u(m). 3 What are the prime factors of -12*(-1)/((-4)/(-6))? 2, 3 Let h be -5 + 7 + (-24)/(-2). Let u = 4 + h. What are the prime factors of u? 2, 3 Let x(b) = -4*b - 24. Let i(u) = -5*u**2 - 3*u - 3. Let m be i(-2). List the prime factors of x(m). 2, 11 Suppose f = 4*f + 5*t - 380, 3*t = -2*f + 254. List the prime factors of f. 2, 5, 13 Let q(m) = 12*m - 2. Let y be q(6). List the prime factors of y/(-3)*(-12)/10. 2, 7 Suppose -5*p - 25 = -10*p. What are the prime factors of p? 5 Let y be 0/((1 - 5)/2). Suppose 3*k + 48 = 4*s - y*s, -s + 7 = -2*k. What are the prime factors of s? 3, 5 Let l(i) = -i + 1. Let z = 2 - 3. Let g be l(z). Suppose 2*x - 20 = -g*a, 6 - 53 = -5*x - 2*a. List the prime factors of x. 3 Suppose -11*v - 44 + 1408 = 0. What are the prime factors of v? 2, 31 Let a = -18 + 15. Let t(k) = 3*k**2 - 4*k - 4. List the prime factors of t(a). 5, 7 Suppose 5*f + 2*k - 426 = 0, 0 = -f + 2*f - 3*k - 92. Suppose 0 = -4*q - 5*c + f, 2*c = -2*q + 4*c + 52. List the prime factors of q. 2, 3 Let y(n) be the first derivative of -n**4/4 + 7*n**3/3 - 7*n**2/2 + 6*n - 1. Let z be y(6). Suppose z*k - 15 = -5*k. What are the prime factors of k? 3 Let w(a) = -6*a - 2*a - 15 + 5. Let u be w(-9). Suppose 5*z - u = -17. What are the prime factors of z? 3 Let d = 9 + -5. Let f(c) = -c - 7. Let m(t) = -2*t - 13. Let n(a) = 11*f(a) - 6*m(a). What are the prime factors of n(d)? 5 Let u(h) = -h**2 + 5*h - 5. Let k be u(4). Let q = 3 - k. Suppose 35 = w + q*w. List the prime factors of w. 7 Suppose -v = -5*r - 20, r + 30 = -4*r + 3*v. List the prime factors of 13/r*-3*2. 2, 13 Let b(a) = 2 - 2*a + 5*a - 3. Let h be b(1). Suppose 0 = u - 5*t + 12 + 10, t = u + h. What are the prime factors of u? 3 Let t(y) = -y - 10. Let o be t(-5). Let w be (-2)/(-5) - 188/o. Suppose 0 = 4*r - r - 2*c - 36, -5*r = 4*c - w. List the prime factors of r. 2, 5 Suppose -2*o = -6, -4 = 2*c + 5*o - 23. Suppose -c*u = -3 - 3. What are the prime factors of u? 3 Let z = -29 + 79. List the prime factors of z. 2, 5 Suppose -p + 177 = l, -5*p + 885 = -l + 3*l. Let q = p - 252. List the prime factors of q/10*4/(-5). 2, 3 Let x(b) = -5*b - 12. Let i be x(-9). Suppose n - i = 46. Suppose -7 = 4*v - n. What are the prime factors of v? 2, 3 Let k(j) = 6*j - 13. List the prime factors of k(10). 47 Suppose 5*r = -2*g + 10, 3*g + 0*r + 2*r - 15 = 0. Suppose 308 = g*x - x. Suppose -2*i + 49 = 4*k - i, -5*k + x = -4*i. What are the prime factors of k? 13 Suppose -50 = -h - 5*n, h - 2*n = 8 + 7. What are the prime factors of h? 5 Suppose -2*o + 1 = -3*u - 1, 2*o + u = 10. Suppose -59 = -5*k - b, 3*b + 45 = o*k + 6*b. List the prime factors of k. 2, 3 Suppose -273 = 7*d - 0*d. Let w = d - -81. List the prime factors of w. 2, 3, 7 Let f(x) = 2*x**3 + 43*x**2 + 16*x - 2. List the prime factors of f(-21). 103 Suppose w - 2*f = 4*w - 25, 4*w + 3*f - 35 = 0. List the prime factors of w. 5 Let n = -35 - -19. Let g = n - -48. What are the prime factors of g? 2 Let a(v) = v**2 - 20*v + 46. List the prime factors of a(24). 2, 71 Suppose -4*v = r - 5*r - 620, 3 = r. List the prime factors of v. 2, 79 Let r = 10 - 14. Let w = 25 - r. List the prime factors of w. 29 Suppose 0 = 3*t - 3*a - 2*a - 304, 5*t = -5*a + 560. List the prime factors of t. 2, 3 Let y be (-3)/3 + 36 + 3. Suppose -2*x + y = 3*w, 10 + 16 = 2*w + x. What are the prime factors of w? 2, 7 Suppose -329 = -3*g + 2*k, 3*k = 2*k - 4. Suppose 2*o + 2*a - 66 = 0, 0*o = 3*o - a - g. Suppose 5*p = 10 + o. What are the prime factors of p? 3 Suppose -5*p =
{ "pile_set_name": "DM Mathematics" }
st integer? 33296 What is the seventh root of 895880867 to the nearest integer? 19 What is the ninth root of 603384482 to the nearest integer? 9 What is 1986967070 to the power of 1/3, to the nearest integer? 1257 What is 90403529 to the power of 1/2, to the nearest integer? 9508 What is the sixth root of 66517885 to the nearest integer? 20 What is the square root of 104116752 to the nearest integer? 10204 What is the third root of 3895993265 to the nearest integer? 1574 What is 71998501 to the power of 1/6, to the nearest integer? 20 What is the square root of 81830993 to the nearest integer? 9046 What is the seventh root of 123608394 to the nearest integer? 14 What is 4008202909 to the power of 1/9, to the nearest integer? 12 What is the tenth root of 22727153 to the nearest integer? 5 What is 359971916 to the power of 1/5, to the nearest integer? 51 What is the square root of 314558577 to the nearest integer? 17736 What is the square root of 588832770 to the nearest integer? 24266 What is the third root of 31283489 to the nearest integer? 315 What is 51396575 to the power of 1/6, to the nearest integer? 19 What is 424614214 to the power of 1/4, to the nearest integer? 144 What is the third root of 9267539 to the nearest integer? 210 What is the square root of 439624698 to the nearest integer? 20967 What is the third root of 60682586 to the nearest integer? 393 What is 313955719 to the power of 1/10, to the nearest integer? 7 What is the cube root of 525745147 to the nearest integer? 807 What is 66580792 to the power of 1/2, to the nearest integer? 8160 What is 888067534 to the power of 1/7, to the nearest integer? 19 What is the fifth root of 7297876531 to the nearest integer? 94 What is 884152527 to the power of 1/3, to the nearest integer? 960 What is the third root of 1208030068 to the nearest integer? 1065 What is 1203102972 to the power of 1/7, to the nearest integer? 20 What is 1611773703 to the power of 1/2, to the nearest integer? 40147 What is the cube root of 40354952 to the nearest integer? 343 What is 261913813 to the power of 1/5, to the nearest integer? 48 What is 564839879 to the power of 1/6, to the nearest integer? 29 What is 38042481 to the power of 1/2, to the nearest integer? 6168 What is 157671870 to the power of 1/6, to the nearest integer? 23 What is 167687762 to the power of 1/3, to the nearest integer? 551 What is the sixth root of 355281623 to the nearest integer? 27 What is the square root of 2107814539 to the nearest integer? 45911 What is the square root of 781030828 to the nearest integer? 27947 What is the third root of 243067635 to the nearest integer? 624 What is the third root of 3449049881 to the nearest integer? 1511 What is 142414538 to the power of 1/3, to the nearest integer? 522 What is 3910275983 to the power of 1/3, to the nearest integer? 1575 What is the square root of 405826226 to the nearest integer? 20145 What is 54439962 to the power of 1/3, to the nearest integer? 379 What is 345680340 to the power of 1/2, to the nearest integer? 18592 What is 2110260785 to the power of 1/3, to the nearest integer? 1283 What is the cube root of 67132614 to the nearest integer? 406 What is the ninth root of 3090112 to the nearest integer? 5 What is 109328174 to the power of 1/2, to the nearest integer? 10456 What is the third root of 114147459 to the nearest integer? 485 What is the third root of 20805960 to the nearest integer? 275 What is the tenth root of 1094849545 to the nearest integer? 8 What is 555052373 to the power of 1/7, to the nearest integer? 18 What is the cube root of 281606642 to the nearest integer? 655 What is the sixth root of 17232429 to the nearest integer? 16 What is 2506947127 to the power of 1/9, to the nearest integer? 11 What is the third root of 15172804 to the nearest integer? 248 What is the cube root of 1648172992 to the nearest integer? 1181 What is the square root of 233425605 to the nearest integer? 15278 What is the third root of 81415473 to the nearest integer? 433 What is the ninth root of 3875638227 to the nearest integer? 12 What is 54419513 to the power of 1/5, to the nearest integer? 35 What is 1353512 to the power of 1/3, to the nearest integer? 111 What is the cube root of 21887792 to the nearest integer? 280 What is the eighth root of 548684605 to the nearest integer? 12 What is 140409840 to the power of 1/4, to the nearest integer? 109 What is the square root of 14536767 to the nearest integer? 3813 What is the third root of 404223645 to the nearest integer? 739 What is the sixth root of 44766103 to the nearest integer? 19 What is the sixth root of 2215375737 to the nearest integer? 36 What is the square root of 351473938 to the nearest integer? 18748 What is 7025869 to the power of 1/2, to the nearest integer? 2651 What is 412919580 to the power of 1/2, to the nearest integer? 20320 What is the tenth root of 89984247 to the nearest integer? 6 What is 131328834 to the power of 1/6, to the nearest integer? 23 What is 276377390 to the power of 1/5, to the nearest integer? 49 What is 152143457 to the power of 1/2, to the nearest integer? 12335 What is the fifth root of 20367205 to the nearest integer? 29 What is 606351618 to the power of 1/9, to the nearest integer? 9 What is the seventh root of 818648098 to the nearest integer? 19 What is 90423369 to the power of 1/8, to the nearest integer? 10 What is the cube root of 485202524 to the nearest integer? 786 What is the third root of 288762921 to the nearest integer? 661 What is 618298113 to the power of 1/10, to the nearest integer? 8 What is the third root of 355974339 to the nearest integer? 709 What is 201506336 to the power of 1/4, to the nearest integer? 119 What is 873704333 to the power of 1/7, to the nearest integer? 19 What is 1710622676 to the power of 1/3, to the nearest integer? 1196 What is 808261659 to the power of 1/2, to the nearest integer? 28430 What is the cube root of 92692283 to the nearest integer? 453 What is 3492095776 to the power of 1/3, to the nearest integer? 1517 What is the square root of 303916314 to the nearest integer? 17433 What is 235779858 to the power of 1/3, to the nearest integer? 618 What is 195214058 to the power of 1/5, to the nearest integer? 46 What is the third root of 718309790 to the nearest integer? 896 What is the ninth root of 37973638 to the nearest integer? 7 What is the cube root of 1772350010 to the nearest integer? 1210 What is the square root of 2164817 to the nearest integer? 1471 What is 101769624 to the power of 1/2, to the nearest integer? 10088 What is the cube root of 4683900356 to the nearest integer? 1673 What is 517216428 to the power of 1/3, to the nearest integer? 803 What is 37715382 to the power of 1/8, to the nearest integer? 9 What is the square root of 176680885 to the nearest integer? 13292 What is the fourth root of 145732606 to the nearest integer? 110 What is 18549299 to the power of 1/4, to the nearest integer? 66 What is the eighth root of 526027976 to the nearest integer? 12 What is 96854585 to the power of 1/3, to the nearest integer? 459 What is 34553438 to the power of 1/2, to the nearest integer? 5878 What is 49201134 to the power of 1/3, to the nearest integer? 366 What is 1863021324 to the power of 1/7, to the nearest integer? 21 What is the square root of 35597428 to the nearest integer? 5966 What is 70650036 to the power of 1/2, to the nearest integer? 8405 What is the third root of 48108777 to the nearest integer? 364 What is 920491160 to the power of 1/6, to the nearest integer? 31 What is the cube root of 464879190 to the nearest integer? 775 What is 514470356 to the power of 1/2, to the nearest integer? 22682 What is 459981847 to the power of 1/9, to the nearest integer? 9 What is the eighth root of 79335374 to the nearest integer? 10 What is 101964362 to the power of 1/2, to the nearest integer? 10098 What is 162958469 to the power of 1/5, to the nearest integer? 44 What is the square root of 52546233 to the nearest integer? 7249 What is the tenth root of 69823051 to the nearest integer? 6 What is the square root of 581929300 to the nearest integer? 24123 What is 3115980245 to the power of 1/7, to the nearest integer? 23 Wh
{ "pile_set_name": "DM Mathematics" }
Let g(c) = -5*f(c) - k(c). What is the third derivative of g(y) wrt y? -480*y**3 Let d(n) be the second derivative of -137*n**4/12 + 147*n**2/2 - 109*n. What is the first derivative of d(f) wrt f? -274*f Let f(x) = -x - 1. Suppose -38*c + 37*c = -23. Let d = c - 20. Let h(k) = 6*k + 13. Let r(w) = d*f(w) + h(w). Differentiate r(o) wrt o. 3 Let k = 266/3 - 88. Let j(z) be the third derivative of 0*z**4 + 1/24*z**6 + 0*z**5 + 5*z**2 + 0 - k*z**3 + 0*z. Differentiate j(v) wrt v. 15*v**2 Let a(d) = -223*d**2 + 7*d + 262. Let r(m) = 74*m**2 - 2*m - 88. Let l(j) = 2*a(j) + 7*r(j). Differentiate l(q) with respect to q. 144*q Let m(n) = -11*n**4 + 5*n**3 - 118*n**2 - 6*n - 4. Let l(a) = -a**2 + a + 1. Let z(y) = 4*l(y) + m(y). What is the third derivative of z(d) wrt d? -264*d + 30 What is the second derivative of 13*i**4 + 7*i**2 - 3*i + 430*i**3 - 5*i - 430*i**3 wrt i? 156*i**2 + 14 Differentiate -736 + 37*z**3 + z**4 - 35*z**3 - 41*z**3 + 4*z**4 wrt z. 20*z**3 - 117*z**2 Find the second derivative of -1 - 4 - 5*x - 5*x - 171*x**5 + 23*x**5 + 16*x wrt x. -2960*x**3 Let v = 31 - 28. Suppose -4 + 1 = -q. What is the derivative of -q - v + t**3 - 8*t**3 wrt t? -21*t**2 Let v = 34 - 10. Find the second derivative of 16*t**4 + 3*t**4 - v*t - 1 + 1 wrt t. 228*t**2 Let g(d) be the first derivative of 59*d**5/5 - 13*d**2/2 + 3*d - 90. Find the second derivative of g(z) wrt z. 708*z**2 Suppose -40 = 2*g - 6*g. Suppose g = -5*s + 30. What is the third derivative of 5*o**2 - 8*o**2 + 8*o**s + 4*o**2 wrt o? 192*o Let b = 13 + 2. What is the second derivative of 4*i**2 - 15 - 23*i**2 - 8*i + b wrt i? -38 Let p(c) = 17*c**2 + 20*c + 34*c**2 + 20 - 24*c + 18. Let b(h) = -h - 1. Let a(u) = 4*b(u) - p(u). What is the derivative of a(f) wrt f? -102*f Let d(q) = q**3 + 26*q**2 - 4*q - 101. Let i be d(-26). Let h(n) be the first derivative of 5/2*n**2 + i + 7*n. What is the first derivative of h(o) wrt o? 5 Suppose x = 3*x - 4. Suppose 3*m = -x*g + 7, 3*m = 2*m - 4*g - 11. Find the third derivative of 4*o**4 + 6 - m*o**2 - 6 wrt o. 96*o Suppose 3*h - 6*h + 6 = 0. Find the third derivative of 12*f**2 + 2*f**h - 21*f**3 + 0*f**2 + 2*f**3 wrt f. -114 Let r be 2696/30 - (-14)/105. What is the derivative of 2 + 5*n**4 + r*n**3 - 90*n**3 - 3*n**4 wrt n? 8*n**3 Let i(z) = z**3 - 2*z**2 - z. Let t be i(3). Let y be -2 + 12/(-4 + 7). Find the first derivative of 3 - y*d + t*d - 8 wrt d. 4 Let c(k) be the second derivative of 35*k**6/6 + 153*k**2/2 - 14*k - 5. What is the first derivative of c(d) wrt d? 700*d**3 Let j(f) = 609*f**4 - 5*f**2 + 7*f + 76. Let m(b) = -913*b**4 + 8*b**2 - 12*b - 114. Let d(n) = -8*j(n) - 5*m(n). Find the second derivative of d(s) wrt s. -3684*s**2 Let s(x) be the second derivative of x**7/14 + x**5/10 + 61*x**3/3 + x - 71. Find the second derivative of s(z) wrt z. 60*z**3 + 12*z Let h(v) be the third derivative of -v**6/4 - 17*v**5/60 + v**4/12 - 108*v**2. What is the third derivative of h(t) wrt t? -180 Let n(o) = o**3 - 10*o**2 + 9*o + 1. Let j be n(9). Let k be 11 + -8 - (j + -1). What is the second derivative of 6*f - k*f**5 - f**5 + 12*f**5 wrt f? 160*f**3 Let w(n) = 95*n + 92. Let j(g) = -g + 3. Let b(r) = 2*j(r) - w(r). Differentiate b(a) with respect to a. -97 Let o(b) = b + 3. Let r = -6 - -10. Let y be o(r). Find the third derivative of -k**4 - 4*k**4 + y*k**2 - 4*k**2 wrt k. -120*k Let c(m) be the second derivative of 163*m**6/30 - 39*m**4/2 - 294*m + 2. Find the third derivative of c(a) wrt a. 3912*a Let l(x) be the second derivative of -103*x**5/20 - 5*x**4/12 + x**3/6 - 25*x - 3. Find the third derivative of l(w) wrt w. -618 Let o(b) be the third derivative of b**9/168 + 2*b**5/15 - 2*b**3/3 + 5*b**2 - 9*b. Find the third derivative of o(q) wrt q. 360*q**3 What is the second derivative of 13*k - 6 - 19*k + 5 + 356*k**5 + 121*k wrt k? 7120*k**3 Let n = 0 + 3. What is the second derivative of 14*r - 7*r**3 + 16*r**n + r**3 + r**3 wrt r? 66*r Let p(u) be the third derivative of 13*u**6/60 + 7*u**5/12 + u**2 + 5*u. Find the third derivative of p(f) wrt f. 156 Let h(z) be the first derivative of -23*z**5 - 68*z**3/3 + 55. Find the third derivative of h(a) wrt a. -2760*a Let y = 88 + -90. Let r(j) = -14*j**3 - 2*j**2 - 2*j - 18. Let g(b) = -14*b**3 - 3*b**2 - 3*b - 17. Let k(f) = y*g(f) + 3*r(f). Differentiate k(n) wrt n. -42*n**2 Let h(w) be the first derivative of w**5/5 - 15*w**4/4 - 4*w**3/3 + 13*w - 57. Find the third derivative of h(q) wrt q. 24*q - 90 Let s(r) be the third derivative of 7*r**5/60 - r**4/12 + 139*r**3/6 + 112*r**2 - r. What is the derivative of s(f) wrt f? 14*f - 2 Differentiate 45*p**2 - 136 + 37*p**2 - 82*p**2 - 85*p**3 wrt p. -255*p**2 Let m(g) be the second derivative of 0*g**2 - 7/3*g**4 + 0 - 17/20*g**5 + 0*g**3 - 7*g. What is the third derivative of m(c) wrt c? -102 Let y(s) be the third derivative of -13*s**5/4 + s**4/24 + 27*s**3/2 - 2*s**2 - 8*s. What is the second derivative of y(z) wrt z? -390 Let j = -4 + 6. What is the third derivative of 0*i**2 + 15*i**5 + i**j - 21*i**5 - 9*i**2 wrt i? -360*i**2 Let m(z) be the first derivative of 0*z**5 - 1/3*z**3 + 0*z**4 + 0*z + z**6 + 0*z**2 + 10. Find the third derivative of m(j) wrt j. 360*j**2 Let b(m) = -9*m**4 + 9*m + 6. Let o(a) be the third derivative of a**7/210 + a**4/24 + a**3/6 - 40*a**2. Let h(z) = -2*b(z) + 18*o(z). Differentiate h(f) wrt f. 144*f**3 What is the third derivative of 876 - 876 + 6*d - d**4 - 3*d**2 - 19*d**5 + 0*d**4 wrt d? -1140*d**2 - 24*d Let f = 1543 - 1543. Let b(j) be the first derivative of 0*j**3 + 5/3*j**6 + 0*j**5 + 0*j - j**2 + f*j**4 + 2. What is the second derivative of b(q) wrt q? 200*q**3 Let u(m) = 18*m**3 + 5*m**2 - 7*m + 147. Let k(v) = -8*v**3 - 2*v**2 + 3*v - 74. Let h(n) = 14*k(n) + 6*u(n). What is the derivative of h(r) wrt r? -12*r**2 + 4*r Let j(t) be the first derivative of -436*t**7/7 + 47*t**3/3 - 2*t**2 + 86. What is the third derivative of j(z) wrt z? -52320*z**3 Let q = 35 + -33. Find the second derivative of 3*t**2 + 3*t**q - 6*t**2 + 26*t - t**5 wrt t. -20*t**3 Let j = -53 - -31. Let w = j - -24. What is the derivative of -6*f**2 + 7 - 4*f**w - 3 + 2*f**2 wrt f? -16*f Let n(i) be the second derivative of -i**6/5 - i**4/4 + 79*i**3/6 - 5*i + 2. What is the second derivative of n(f) wrt f? -72*f**2 - 6 Let j(r) be the first derivative of -6*r**5/5 - r**4/2 - 64*r**2 - 214. What is the second derivative of j(i) wrt i? -72*i**2 - 12*i Suppose 4*g = 3*g + 42. Find the first derivative of -8*x**4 + 28 - g - 19*x**4 wrt x. -108*x**3 Let n(z) = 1. Suppose r - 3*y + 3 = 0, -3*y - 2 - 4 = -4*r. Let l(c) = -c - 1. Suppose 5*q + 3 = 28. Let u(o) = q*n(o) + r*l(o). Differentiate u(d) wrt d. -3 Let z be (-30)/(-12) + 2/4. What is the second derivative of -4*w - z*w - 4*w - 15*w**2 wrt w? -30 Let t be (-6)/(-4)*(22/3 + -2). What is the third derivative of 2*a**5 - 1747 - t*a**3 + 1747 + 35*a**2 + a**5 wrt a? 180*a**2 - 48 What is the first derivative of 37 - 1 + 1 + 6*r wrt r? 6 Let w = 28 - 22. What is the second derivative of -b**5 + w*b**5 - 3*b**5 + 6*b**5 + 7*b wrt b? 160*b**3 Let y be (-4 + (-32)/(-4))*13. What is the derivative of -55 + 4*b - 8*b + y*b wrt b? 48 Let g(n) = -n - 5*n**2 + 2 - 3*n + 6*n**2. Let d be g(4). What is the derivative of a + d + 0 + 0 + 4*a wrt a? 5 Let t(x) = -19*x**2 + 2*x + 39. Let z = 7 + -28. Let a(d) = 189*d**2 - 21*d - 390. Let p(y) = z*t(y) - 2*a(y). What is the derivative of p(f) wrt f? 42*f Let s(y) be the first derivative of 85*y**4/4 - y**3 - 300*y - 158. Find the first derivative of s(z) wrt z. 255*z**2 - 6*z Let h be (-2)/5 - (-4)/((-80)/(-108)). What is the third derivative of 12*o**2 - h*o**5 + 18*o**5 + 3*o**2 wrt o? 780*o**2 Let o(k) be the first derivative of -331*k**6/6 - 146*k**3 + 461. What is the third derivative of o(m) wrt m? -19860*m**2 Let n(t) be the first derivative of 67*t**6/6 - t**3/3 + 4*t**2 - 41. What is the third derivative of n(d) wrt d? 4020*d**2 Let y(a) be the second derivative of a**6/6 + 16*a**3 - a - 52. What is the second derivative of y(o) wrt o? 60*o**2 Let i(c) = -4*c**3 - 2*c**2 + c - 2. Let x be i(-2). Let v = 22 - x. Find the second derivative of 7*w**2 + 0*w + v*w**2 + 8*w + w wrt w. 18 Let z(c) be the second derivative of 95*c**4/12 - 1
{ "pile_set_name": "DM Mathematics" }
Is f a prime number? True Suppose -85*n = -83*n - 46922. Is n a composite number? True Let o = -88 + 14. Let l = 78 + o. Suppose -l*g = c - 86 - 557, 1946 = 3*c - 5*g. Is c prime? True Suppose -5*f - 1 = 3*s - 8, 4*f = 3*s + 11. Suppose -f = 2*j, -3*k + 5*k - 30265 = -j. Is k composite? True Suppose 4*i - 54150 = -2*m, 5*m = -i - 3*i + 54153. Is i a composite number? False Let x = -248 + 258. Is (x + 5)/(-3) + (-2816)/(-2) a composite number? True Suppose -40*r + 24 = -32*r. Suppose 5*g + r*m - 27536 = 0, 3*g - 3*m = 2*g + 5518. Is g a composite number? True Suppose 0 = 12*i - 2283 + 11475. Is -11*i/(-1)*1/(-2) prime? False Let h = 143 - 135. Is 11814/h + ((-51)/(-12) - 4) a prime number? False Let l(n) = 343*n - 72. Let u be l(9). Let y = u - 1829. Is y a composite number? True Let b = -18869 - -42643. Is b a composite number? True Suppose 0 = -5*j - 5*i - 6266 + 31306, 2*j - 3*i = 10031. Suppose -7*p - 713 = -j. Is p prime? False Let j = 24830 - 41243. Is 6/((-54)/3)*j a composite number? False Let s = 39 + 25. Let k = s + -200. Is 103186/16 - (-17)/k a composite number? False Let l(h) = 88*h**2 + 259*h - 280. Is l(49) a composite number? True Suppose 0 = 10*c + 5 + 5. Let b(x) = -2330*x**3 + 2*x**2 + 2*x - 1. Is b(c) prime? False Let k be -38*(-2*1 - 7/(-7)). Suppose -5*w + 4*w + 5*n = -20, w = -4*n + k. Let x = w - -16. Is x composite? True Let q(z) = 5692*z**2 + 421*z - 9. Is q(4) a composite number? True Let j(b) = -37*b**2 - 3*b - 5. Let k(x) = -74*x**2 - 6*x - 9. Let g(z) = 7*j(z) - 4*k(z). Let u be g(3). Let h = 582 - u. Is h prime? True Suppose q - u + 3 = 0, 4*q + 0*u = -u - 2. Let a be (83 - -8) + (q - -5). Is 2/10 - (-100206)/a composite? True Suppose -772*w = -749*w + 1119577 - 15152682. Is w prime? False Let y(h) = 73*h**2 - 3*h + 2. Let k be y(1). Let i = k - 60. Suppose 0 = i*m - 1101 - 591. Is m composite? True Let u = -228 + 232. Suppose u*t = -5*g + 23149, 3*t - 3*g - 16093 - 1289 = 0. Is t composite? False Suppose -3*x - 2*m - 376 = 0, -7 = -5*m - 17. Let y = -129 - x. Is (-3765)/y*(2/(-3) - -1) a composite number? False Let u(v) be the first derivative of -5/2*v**2 - 5*v + 1/3*v**3 + 9 + 1/4*v**4. Is u(6) prime? False Suppose k = 2*z + 3*z - 162, 2*k = -z - 324. Let y be (-5 + 2 - k) + 2. Let r = 320 - y. Is r prime? False Suppose -187224653 = -28*w + 45*w - 94*w. Is w composite? False Let d be -1 + -58*(-244)/8. Suppose 5*t = 2*c + 2*t - d, 5*c = -t + 4437. Is c prime? True Let u(i) = 15*i**3 + 49*i**2 - 48*i + 5. Is u(21) a composite number? False Let b(j) = -j**3 - 9*j**2 - 8*j - 8. Let z be b(-8). Is z/4 + 4539 - -4 a prime number? False Let m(w) = -w**3 - 4*w**2 - 3*w + 3. Let i be m(-3). Suppose -4*h + 70 = -i*v, 2*v + h = -2*v - 125. Is (-6)/v - (2 - 5188/10) a prime number? False Let u(i) = 2*i**3 + 2*i**2 - i - 2. Let z be u(-1). Is z/(-3)*-1 - 3521490/(-315) prime? False Let p(l) = 6*l**3 + 7*l**2 - 189*l - 101. Is p(29) a composite number? False Let v(p) = -p**3 + 5*p**2 + 7*p + 21. Let w be v(7). Is (36827/w)/((-3)/36 - 0) a composite number? True Let t(d) = 2*d**3 + 36*d**2 - 93*d - 137. Is t(42) a composite number? True Suppose -4*c + 154 = -2*s + 3*s, 0 = -3*c. Suppose -l + 70 - 68 = 0. Suppose -4*n - 3*o + 308 = 0, 0*o - s = -l*n + o. Is n prime? False Let m(u) = 17882*u**2 + 209*u - 646. Is m(3) prime? False Suppose -4*c - m + 15001 = c, 3*m + 3013 = c. Suppose -17835 = -4*p + c. Is p a prime number? True Let g be (102 - 98)*(1 - 0). Is 29594 + 0*g/24 a composite number? True Suppose -2*f - 18 = -18. Suppose -8*d + 8 + f = 0. Is 331/4*(21 - d) + 2 a prime number? True Suppose 2677 = q - 1345. Suppose -5*d + q = 3*j - 10187, 2*d + 4*j = 5678. Is d a prime number? True Suppose 5*j + o = 291546, 69569 = 2*j - 5*o - 47044. Is j a composite number? False Suppose -25 = -4*u + 7. Let c(j) be the second derivative of j**5/20 + j**4/2 - j**3 - 13*j**2/2 + 2*j - 300. Is c(u) a composite number? True Let k(g) = 31*g - 11. Suppose -20 = -78*o + 73*o. Let b be k(o). Suppose -b = -5*u - 3*x, 2*u + 0*x = -2*x + 42. Is u prime? False Let s(q) = -186894*q - 51. Is s(-3) composite? True Let x be (-4321 - 74)*(-6)/5. Let c = 16583 + x. Is c a composite number? True Let a = 493 - 491. Suppose k + 4*w = 2095, -5*k = a*w - 5474 - 5019. Is k prime? True Let l be (-2)/(-3)*42/4. Suppose 6*a = 5*a + l. Suppose 3*b = a*b - 996. Is b a prime number? False Let q(r) = -281*r - 1. Let x be q(-1). Let h be 34/((-38)/(-11571)*21). Let g = h - x. Is g a composite number? True Let s(p) = p**3 - 3*p**2 - 10*p + 6. Let a be s(5). Let w(n) = 108*n**2 - 2*n + 31. Is w(a) composite? False Let o(v) = v**2 + 3*v + 3. Let q be o(-3). Let w(m) = -m + 8. Let s be w(8). Suppose q*n + 5*n - 4072 = s. Is n a composite number? False Let s(x) = 12*x**2 + 137*x - 863. Is s(104) a composite number? False Let x(z) = -z**3 - 4*z**2 - 2*z + 3. Let q(s) = -s**2 + 11*s - 22. Let w be q(9). Let c be x(w). Suppose 0 = -4*l + c*l - 357. Is l prime? False Suppose -8*g = -22 - 26. Is 17134/(g + -4) - 4 a prime number? True Let v(h) be the third derivative of -h**5/3 + 13*h**4/24 - 7*h**3/6 + 4*h**2. Let y(g) be the first derivative of v(g). Is y(-6) a composite number? True Let d be (-40)/(-16)*(-266)/(-35). Let p = 0 - -12. Suppose -1099 = -d*l + p*l. Is l a composite number? False Suppose -r - 5*x + 4 = -4*r, r - 5*x = -8. Suppose 3*j + 2513 = 4*g, r*g - 1357 = 4*j + 2007. Is (-4 - -1)*j/3 a composite number? True Let c(g) = 5*g**2 - 2*g - 1. Let m be c(-1). Is (207945/(-6))/5*(-4)/m composite? False Let f be ((-3)/1 - -4)*(34 - 0). Let d be 38/9 - (4 + f/(-9)). Suppose -4*y - d*s + 3124 = 0, 4*y - 4*s - 781 = 3*y. Is y prime? False Suppose -b - 98 = 3*m, 5*m - 5*b + 151 - 21 = 0. Let c = m - -41. Suppose -3*v + 545 = 2*k, -k - c + 5 = 0. Is v a prime number? False Let q(s) = -129674*s - 1911. Is q(-2) a composite number? False Suppose 4*c = 4*w + 783872, 49*w + 2 = 47*w. Is c a composite number? False Let b be (-15)/(-2)*(-84)/105. Suppose 7*h + 4*r - 28 = 4*h, 2*h - 3*r = -4. Is 3/(b/(-592)*h) composite? True Let j = 48 - 46. Suppose -5*t + 3*c = 6*c - 7418, j*c = -3*t + 4451. Is t a prime number? True Let u = 26832 - -3699. Is u a prime number? False Let o = -20 + 20. Suppose o = -12*y + 8*y + 12. Is (-2570)/(-2) + (-6)/y a composite number? False Suppose 15*q - 2*p + 2071840 = 19*q, q - 517963 = -p. Is q a composite number? True Suppose -1843*y + 1968*y = 109145875. Is y prime? False Let x(r) = -39*r + 40. Suppose 0 = -6*w - 3*w + 198. Suppose -54*a - w = -52*a. Is x(a) a prime number? False Let w = 3058 - 1224. Let a be (4 + -1)*(-3)/(-9)*w. Suppose 638 + 2113 = 3*r - 4*j, 2*j = 2*r - a. Is r a composite number? True Suppose 46*h - 137*h = 47*h - 42200814. Is h composite? False Let z(a) = 6*a + 8. Let r be z(-9). Let l = -50 - r. Is (-17062)/(-14) - l/14 a prime number? False Let w = 394954 + -262056. Is w a prime number? False Suppose -9*p - 2*o + 953980 - 373641 = 0, -3*p + 4*o = -193465. Is p a composite number? False Let i(z) = -73*z - 33. Let m be i(-9). Let l = 1059 - m. Let s = l - 212. Is s composite? False Let v = -403 + 317. Let y = 483 + v. Is y a composite number? False Let b(o) = 2662*o**3 - 12*o - 13. Let d be b(-1). Let l = 8755 - 4747. Let c = l + d. Is c prime? False Suppose -n - 36 = -5*h, -3*h = n + 2*n + 36. Let i be 3 + n/4*7/(-4). Suppose i = x - 52. Is x a prime number? False Is (-5045068)/(-42) - 4/(-12) composite? False Let q(l) = 26*l - 11. Suppose 4*w + 4*u = 24, 10*w - 2*u = 8*w. Suppose -k + 4*c = -23, 2*k + w*c = 4 + 20. Is q(k) composite? False Let f(v) be the first derivative of 10*v**3/3 + 6*v**2 + 27*v + 23. Is f(-10) a composite number? False Suppose -4*d = -24*b + 20*b - 1094184, 4*b - 820631 = -3*d. Is d composite? True Is 84/(-63)*(-1)/4 - (-165383964)/162 a composite number? True Suppose -f = -3*i + 2*i, -6 = 3*f - 5*i. Suppose f*s - 6357 = -3*a, 0 = -2*a - a + 12. Suppose -2298 = -3*m + s. Is m composite? False Suppose -5*a = 5*s + 14020, 2*s - s = 2*a - 2810. Let z = 658 + s. Let q = -1241 - z. Is q a composite number? False Suppose -4*n - 3*t = 16, 3*n - n - 3*t + 8 = 0. Let c be -3 + (4 + n - 2). Let b(x) = -16*x**3 - 6*x**2 + 4*x - 13. Is b(c) a prime number? False Let r = -1151 - -1637. Let b be ((-1 + 1)/(-
{ "pile_set_name": "DM Mathematics" }
Calculate the common denominator of i and (378/98 - 3)/(8/161). 16 What is the least common multiple of 20 and (-12)/32 - (-51)/8? 60 Calculate the common denominator of (-6)/(-51)*1 - (-2064)/(-7140) and -45/11. 385 Calculate the common denominator of (-6)/(-90) + 35/987 and 1/47. 235 What is the least common multiple of (-24)/42 + -7 + (-5896)/(-28) and 21? 609 Let r be -3 + (-8)/(-2)*385. Let m be (1 - 2) + (-9350)/(-6). Let x = m - r. Find the common denominator of x and -2/11. 33 What is the least common multiple of 2/(-1)*6/(-4) and (-7 + 2)/((-6)/(-6)*-1)? 15 Suppose 2*z + 3*n = 52, -2*z - 55*n = -56*n - 68. Suppose 3*k = 46 + 14. What is the least common multiple of k and z? 160 Let g = 11819/17 - 696. Find the common denominator of 35/3 and g. 51 Let l = 90 + -665/6. What is the common denominator of (-2)/32*(-3 + 72) and l? 48 Suppose k + 1 = -l + 13, -60 = -5*k - l. Let m = -9 + k. Suppose 0 = 3*i - v - 13, 21 = 3*i - 0*v - m*v. Calculate the least common multiple of i and 6. 6 Let j = 12 + -8. Let o = 12 + j. Suppose -4*n = -55 - 1. Calculate the smallest common multiple of o and n. 112 Suppose 0 = -5*i - 22 + 77. Let p(u) be the second derivative of u**5/20 + 5*u**4/12 + 3*u**2 + u. What is the smallest common multiple of p(-5) and i? 66 Let f be 3836/30 + 2/15. What is the least common multiple of 6 and f/20 + (-4)/10? 6 Let r be ((-4483072062512)/15624)/(8/(-6)). Let x = -215201249 + r. Let f = x - 10/217. Find the common denominator of -23/16 and f. 48 Let b = -75/8 - -181/8. Let d = -397 - -1202/3. Calculate the common denominator of d and b. 12 Find the common denominator of 41/60 and 8 + (-474)/120 + -2. 60 Let q = 58 - 17. Let u(f) = f**3 - 21*f**2 + 34*f + 45. Let w be u(19). Let c = w + q. Calculate the least common multiple of c and 2. 10 Let z(w) = -w - 8. Let r be z(-5). Let n be (-210031)/9*r/(-6). Let a = 11664 + n. Calculate the common denominator of a and -65/8. 72 Let c be (-272241)/(-42) - 4/(-2). Let d = c - 6481. What is the common denominator of d and (235/(-80))/(1/(-2))? 56 Let f(a) = -85*a - 135. Let h(s) = 5*s + 8. Let t(b) = 2*f(b) + 35*h(b). Let q be t(-8). Let u = q + 44. Calculate the least common multiple of u and 20. 140 Let a = -9750 + 2145041/220. Calculate the common denominator of a and -119/198. 1980 Let z(y) = y - 30. Let f be z(0). What is the common denominator of (5/f)/((-1)/3) and (-4 - -11)*3*15/10? 2 Let k = 0 - -6. Suppose -2*f = -k*f - 8484. Let c = 23346/11 + f. Find the common denominator of -70/3 and c. 33 Let f = 776 - 574. Calculate the lowest common multiple of f and 18. 1818 Let n = 11061681/14 - 789772. Let p = n + -349. Calculate the common denominator of p and (2/9)/(16/(-12)). 42 Suppose -3 = 2*r - 4*a + 3*a, -3*r + 5*a - 8 = 0. Let m = 9 + r. Calculate the least common multiple of 12 and m. 24 Let k = -418 + 458. Calculate the least common multiple of 88 and k. 440 Let y(r) = r**2 - 18*r + 31. Let a(w) be the first derivative of -w**4 - 4*w**3/3 - 2*w**2 - 2*w - 1. Calculate the lowest common multiple of y(17) and a(-2). 154 Let p(i) = i**3 - 5*i**2 - 5*i + 14. Suppose 0 = 5*z - 10, 0*z + 3*z + 18 = 4*x. Suppose 3*h - 42 = -0*h. Calculate the lowest common multiple of h and p(x). 140 Let q(k) = -k**2 + 7*k - 9. Let x be q(6). Calculate the lowest common multiple of (-6 - -3)/(x/16) and 2*(-7)/(-5)*5. 112 Suppose a = -a. Suppose d = p + 3*p - 33, a = p - d - 12. What is the lowest common multiple of 4 and p? 28 Suppose -42 = h + 5*q - 1, 183 = -5*h - 3*q. Calculate the common denominator of ((-2)/h)/((-11094)/2790 - -4) and 119/12. 132 Let o(l) = 33*l - 16. Let a be o(3). Let s = a - 72. Calculate the smallest common multiple of s and 50. 550 Let d = -3756 - -22609/6. Calculate the common denominator of d and -57/8. 24 What is the common denominator of (-121)/14 - (-37)/(703/152) and (286/(-35))/((-24)/(-10))? 42 Let f(k) = -k**3 - 2*k**2 - 2*k - 1. Let o be f(-4). Let h = -21 + o. Let n(s) = s**3 - 5*s**2 - 2*s - 18. What is the smallest common multiple of h and n(6)? 18 Suppose -2*a - 8 - 2 = -3*b, 0 = 5*b + 5*a - 50. Calculate the smallest common multiple of 2/18*b + 2/6 and (-108)/(-14) + (-2)/(-7). 8 Let w = -2/7813 + -789045/265642. Calculate the common denominator of 71/102 and w. 102 Let k = -53670419/260 + 206425. Calculate the common denominator of -53/78 and k. 780 Let k = 2970 - 29659/10. Let x(g) = -723*g + 13. Let t be x(-8). Let v = t + -115969/20. What is the common denominator of k and v? 20 Let n be 8278/10 + 8/40. Let t = n - 18199/22. Find the common denominator of t and 107/14. 154 Let s = -552419/37 - -14929. Let c = -20299528197/3946834030 + 2/10667119. Let m = c - s. Calculate the common denominator of -54/5 and m. 10 Let d = -81 + 151. Let i = d - 62. What is the lowest common multiple of 6 and i? 24 Let m = -2437 - -273. Calculate the common denominator of (-4)/(-56)*4 + m/(-168) and -97/30. 30 Let z = -13 + 16. Suppose -6*a + z*a = -42. Suppose 4*b - 5*c - 77 + a = 0, -b + 27 = c. Calculate the least common multiple of b and 14. 154 What is the common denominator of -21 + 19 - (-53)/20*2 and 13/4? 20 Suppose -444 = -4*o + 836. What is the smallest common multiple of 3 and o? 960 Suppose -2*v + 23 = -3*v + 4*y, -2*v = -5*y + 49. Let o = -26 - v. Calculate the least common multiple of o and 6. 6 Suppose 42 = 5*t + 112. Calculate the common denominator of t and -71/270. 270 Let r = -1027709/42 - -24467. Let a = -5659/8 + 711. Find the common denominator of a and r. 168 Find the common denominator of ((-75)/(-7))/(552/21) and 15/8. 184 Let q be 292/(-6) - (-2)/3. Let s = 32/31 + 2627/248. Calculate the common denominator of ((-2)/(-36))/((-12)/q) and s. 72 Suppose 35*i - 454 - 4866 = 0. What is the smallest common multiple of 114 and i? 456 Suppose -3*m = 15, 0*t + t - 1 = 2*m. What is the common denominator of (58/(-40))/(t/27*-2) and 101/8? 40 Suppose -5*d = 2*l - 32, -4*d + 28 - 7 = -3*l. Suppose 4*u = u + d. What is the lowest common multiple of u and 2/4 - (-7)/2? 4 Let o = 400/3 - 134. What is the common denominator of -76/9 and o? 9 Let m = 221/22 - 135/11. Find the common denominator of m and (-23 + -35)*(3/(-12) - 0). 22 Let b = -13/8 + -39/8. Find the common denominator of b and 73/3. 6 Suppose t + 4*k = 9*k - 4, -5*k = 5*t - 130. What is the lowest common multiple of 24 and t? 168 Let z(i) = 6*i**2 + 33*i + 10. What is the least common multiple of 77 and z(-6)? 308 Let q = 2825 + -2241. What is the lowest common multiple of q and 10? 2920 Let q = -2882363957/560 - -5147080. Let d = q - 4368569/1680. Let y = -2589 - d. Find the common denominator of -1/7 and y. 42 Suppose -3*r + 2*r = -16. Let x(b) = -3*b - 24. Let g = 32 + -46. Calculate the least common multiple of r and x(g). 144 Suppose -3*q - 4*s + 70 = 0, -q + 3*s + 27 = 8. What is the smallest common multiple of q and 14? 154 Let a = 211 - 1283/6. Calculate the common denominator of 2/(1/(33/(-20))) and a. 30 Let k(h) = 5*h**2 - h. Suppose 236 - 36 = 5*m. Suppose z - 6*z - 28 = -4*s, -3*s = z - m. Calculate the least common multiple of s and k(-1). 12 Suppose -17*z = 13*z - 780. Calculate the least common multiple of z and 78. 78 Let a(x) = -2*x - 36. Let k be a(-21). Find the common denominator of k/4 - 1 - (5 + 26) and 55/3. 6 Suppose 4*c + 4*m - 8 = 0, -7*c + 8*c - 3*m = 14. Suppose -t + 0*w = w - 6, 3*t = c*w - 22. Calculate the lowest common multiple of t and (11*(-2)/2)/(-1). 11 What is the common denominator of 43/48 and (-422)/(-44) - (4 - -1)? 528 Let u = 2 + 3. Let h(p) = -p**2 + 7*p + 1. What is the least common multiple of (3/(-6))/(-4*2/176) and h(u)? 11 Suppose 0 = -5*a + 4*u + 304, -a + 0*a = -5*u - 65. Suppose -4*x - 4 = 0, 3*t + 5*x = -11 + a. What is the smallest common multiple of t and 48? 144 Let q = 156 + -1094/7. Let y = 6/7 - q. Calculate the common denominator of 3385/850 + 0 + (-6)/(-51) and y. 70 Suppose 19*x - 21*x - 18 = -3*h, -h + 11 = x. Calculate the lowest common multiple of 6 and h. 24 Suppose c + 2 = -2*q, 3*c - 5*q + 0*q = 38. Suppose c*p + 2268 = 10*p. Calculate the common denominator of 55/3 and (p/18)/((-5)/(-2)). 15 Let z be (-554)/(-18) - 6/(-27). Suppose z*f - 37*f + 144 = 0. Calculate the least common multiple of 6 and f. 24 Let b = 4/132
{ "pile_set_name": "DM Mathematics" }
e prime factors of 10197191? 1069, 9539 What are the prime factors of 1191696880? 2, 5, 11, 127, 10663 What are the prime factors of 853031633? 37, 23054909 What are the prime factors of 4223422607? 53, 257, 311, 997 What are the prime factors of 283891161? 3, 53, 79, 97, 233 List the prime factors of 663106376. 2, 23, 467, 7717 What are the prime factors of 246940382? 2, 13, 149, 63743 What are the prime factors of 571345? 5, 114269 What are the prime factors of 48047785? 5, 9609557 List the prime factors of 1388243130. 2, 3, 5, 46274771 List the prime factors of 13335089. 17, 107, 7331 What are the prime factors of 601784456? 2, 7, 13, 181, 4567 List the prime factors of 2415863860. 2, 5, 120793193 List the prime factors of 1888120241. 7, 10739, 25117 What are the prime factors of 53525162? 2, 37, 113, 173 List the prime factors of 7932299233. 41, 151, 1281263 List the prime factors of 180910936. 2, 73, 309779 List the prime factors of 1001691759. 3, 1637, 203969 List the prime factors of 843757830. 2, 3, 5, 3125029 What are the prime factors of 7602115? 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294217643 What are the prime factors of 1193327803? 1193327803 List the prime factors of 405168395. 5, 17, 401, 11887 What are the prime factors of 279834757? 47, 197, 30223 What are the prime factors of 2716695572? 2, 163, 349, 11939 What are the prime factors of 705250452? 2, 3, 2749, 21379 List the prime factors of 45021776. 2, 499, 5639 List the prime factors of 158337214. 2, 7, 67, 168803 List the prime factors of 65964657. 3, 11, 131, 15259 What are the prime factors of 91900024? 2, 41, 280183 What are the prime factors of 451712276? 2, 3299, 34231 List the prime factors of 739012004. 2, 557, 331693 List the prime factors of 4910161. 17, 288833 List the prime factors of 466861108. 2, 7, 1361, 12251 List the prime factors of 101255897. 101255897 What are the prime factors of 27103546? 2, 97, 139709 What are the prime factors of 49366012? 2, 31, 398113 List the prime factors of 55547347. 17, 71, 46021 What are the prime factors of 35250887? 7, 5035841 List the prime factors of 52756396. 2, 7, 11, 157, 1091 What are the prime factors of 45439756? 2, 11359939 List the prime factors of 3407217833. 3407217833 List the prime factors of 1374755239. 11, 13, 37, 259829 List the prime factors of 50462137. 11, 17, 269851 List the prime factors of 255101274. 2, 3, 73, 194141 What are the prime factors of 20429089? 557, 36677 What are the prime factors of 1534510312? 2, 191813789 List the prime factors of 263575643. 71, 3712333 List the prime factors of 1010376558. 2, 3, 1223, 15299 List the prime factors of 128739354. 2, 3, 37, 579907 List the prime factors of 46518399. 3, 5168711 List the prime factors of 92942036. 2, 11, 192029 List the prime factors of 28869005. 5, 11, 127, 4133 List the prime factors of 141816858. 2, 3, 401, 58943 What are the prime factors of 26368738? 2, 11, 277, 4327 What are the prime factors of 82976220? 2, 3, 5, 460979 What are the prime factors of 488980938? 2, 3, 81496823 What are the prime factors of 514179844? 2, 401, 320561 What are the prime factors of 1171462963? 11, 106496633 List the prime factors of 621629423. 7727, 80449 What are the prime factors of 331790873? 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3, 11, 478747 List the prime factors of 17423235. 3, 5, 129061 List the prime factors of 180465534. 2, 3, 19, 157, 3361 List the prime factors of 165693857. 7, 23670551 List the prime factors of 930675040. 2, 5, 103, 56473 List the prime factors of 218105813. 157, 1389209 What are the prime factors of 332488499? 7, 17, 607, 4603 List the prime factors of 1643060345. 5, 71, 1181, 3919 What are the prime factors of 136151441? 4337, 31393 What are the prime factors of 1432635062? 2, 716317531 List the prime factors of 2424279010. 2, 5, 89, 2723909 List the prime factors of 2546000. 2, 5, 19, 67 What are the prime factors of 623307888? 2, 3, 7, 618361 What are the prime factors of 7342111? 7, 149839 List the prime factors of 157359476. 2, 41, 89, 10781 What are the prime factors of 50816062? 2, 11, 23, 29, 3463 List the prime factors of 406356889. 406356889 What are the prime factors of 45043923? 3, 109, 139, 991 What are the prime factors of 506289253? 506289253 List the prime factors of 3892630628. 2, 973157657 List the prime factors of 64439813. 23, 71, 39461 List the prime factors of 26657750. 2, 5, 7, 15233 List the prime factors of 73948110. 2, 3, 5, 2464937 List the prime factors of 77089132. 2, 19272283 List the prime factors of 2728737642. 2, 3, 37, 1291, 9521 What are the prime factors of 145973204? 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{ "pile_set_name": "DM Mathematics" }
Solve 1 - 3 = -d*v for v. 1 Let w be (11 + -429)/(-11) + -6 + 1. Solve 0 = 5*v + 38 - w for v. -1 Suppose 0 = 2*x - 3*l - 57 - 13, 2*x + 5*l - 70 = 0. Solve 30*t = x*t + 5 for t. -1 Let w = 46 + -42. Suppose -w*c = m - 13, 4*m = 2*c - m + 21. Solve c = 2*u - u for u. 2 Let v(z) = -5*z + 49. Let m be v(18). Let s = 43 + m. Solve s*x - 5*x = 15 for x. -5 Let r be -7 + (1 - 0)/1. Let v be (-1 - 1)/(4/r). Suppose 4*p - 10 = 2*n - 0*n, v*p - 35 = -4*n. Solve 7*x = 2*x + n for x. 1 Let t(l) = -l**3 - 6*l + 7 - 3*l**2 - l**2 - 4*l**2. Suppose -29*k + 28*k - 7 = 0. Let w be t(k). Solve w = -n - n + 10 for n. 5 Suppose 0 = 3*v - 2*v + 4*f - 24, f + 14 = v. Solve d + v = 12 for d. -4 Suppose 31*m - 438 = -128. Solve 3*b - m = -2*b for b. 2 Let a(u) = -u**2 - 11*u - 15. Let t be a(-11). Let h = -11 - t. Solve -s + 15 = -h*s for s. -5 Let d = -332 - -346. Solve 11 - d = -3*t for t. 1 Let h be (-7)/(((-1)/(-2))/((-1)/2)). Suppose 34 = 4*p - d + h, 4*p - 36 = 4*d. Solve p*r = r for r. 0 Let j(l) = l**2 - 3*l + 4. Let c be j(3). Let x = 8 - c. Suppose -8 - x = -4*n. Solve 1 = -2*u + n*u for u. 1 Let o = -1182 - -1182. Solve -9*s - 3 - 6 = o for s. -1 Let n = 2080 - 2074. Solve 0 = -10*p + n + 4 for p. 1 Suppose 20*b - 35 = 15*b. Suppose -5*g = -b*g + 4. Solve 2*c + 8 = g for c. -3 Let j(o) = -2*o + 6. Let s be j(4). Let x be 2 + 1 + (s - (-21 + -2)). Solve -3*c + x = 9 for c. 5 Let s be 0/(-1 + -3)*1. Let x(a) = -a**3 + a**2 - 2*a + 7. Let z be x(s). Let j(k) = 2*k - 1. Let n be j(z). Solve 5*f - n - 2 = 0 for f. 3 Suppose 8 = 34*s - 30*s. Suppose 5*b + 3 = 2*x, x + s*x = 3*b + 9. Solve 3*n + 8 + b = 0 for n. -3 Suppose -844*k + 28 = -840*k. Solve k*y + 3 = -11 for y. -2 Suppose -5*p + 6 = 3*f + 25, 0 = -f - 5*p - 23. Solve 5*d = 3 + f for d. 1 Suppose 0 = 2*o + 6*k - 7*k - 29, 0 = k - 5. Solve 61 + 7 = o*b for b. 4 Let q = 25 + -27. Let u be (q/(-4))/(4/32). Solve 22 - 6 = -u*n for n. -4 Let i be ((-6)/36 + (-26)/(-12))*465/62. Let g(b) = -3*b**2 - b**3 + 0 + 2*b**3 + 4. Let k be g(3). Solve u + i = k*u for u. 5 Let u = 9 + -9. Let z = -275 - -281. Solve u = z*c - 3*c for c. 0 Suppose 0 = 5*g + 3*t, -5 + 27 = 4*g - 2*t. Let s(z) = -14*z - 125. Let r be s(-9). Solve 4*w = g*w + r for w. 1 Let g = 502 - 481. Solve -g*z + 3 = -24*z for z. -1 Let x be 5 + 1 + 2 + -6. Suppose 0 = -x*q - 29 + 37. Solve -q*a + 22 = 6 for a. 4 Let s be 1*(-20 - (-1 + -2 + 4)). Let a be 2/4 - s/6. Solve 0 = -0*d - 2*d - a for d. -2 Suppose 6*j = j - 3*z + 32, -3*z = -12. Suppose 2*n + 24 = j*s, 16 = 3*s - n - 0. Solve l + s = 5*l for l. 1 Let y be 0/(40/8) + 3*1. Suppose 2*q - 4 = y*u - 5*u, -5*u = 3*q - 4. Solve 0 = q*h - 5*h + 4 for h. 2 Let q be 97/4 + (-11)/(-44)*-1. Solve 102*g - q = 108*g for g. -4 Suppose -7*x = -4 - 52. Let u be (-3)/9 + (-12)/(-9). Suppose -7 - u = -4*t. Solve 2 = t*h + x for h. -3 Suppose 3*h - 2*o - 19 = 0, 0*h - 3*o = -h + 18. Let b = 10 - h. Suppose 3*f = b*f - 32. Solve 4*s - 20 + f = 0 for s. 3 Suppose 0 = 2*q - 3*x - 389 + 374, 2*q - 8 = -4*x. Solve -23 + 23 = q*u for u. 0 Let n = 12 + -7. Suppose -15 = -2*f - n. Suppose -f*y + 46 = 4*o, -4*y + 4*o = -o - 4. Solve -y*t = -t for t. 0 Let b(f) = f**3 + 16*f**2 + 32*f + 62. Let u be b(-14). Solve -u - 9 = -3*j for j. 5 Suppose -4*v + 6 = -5*j + 27, 0 = -2*j - 5*v - 18. Suppose 0 = -2*o - o + 3*r + 3, 5*o - 5 = -4*r. Solve -a + o = -j for a. 2 Let v(d) = 4*d**3 - 3*d**2 + 9*d + 8. Let t be v(2). Solve t = 5*q + 71 for q. -5 Let b(h) = 2*h**2 + h - 5. Let u be b(2). Solve u*r + 20 = 5 for r. -3 Let k(p) = p**3 - 8*p**2 + 8*p - 3. Let m be k(7). Solve 37 = -m*r + 45 for r. 2 Let m = 2858 + -2838. Solve -y - 4*y + m = 0 for y. 4 Let m(y) = y**3 - 10*y**2 + 2*y - 11. Let t be m(10). Let c = -5 + t. Suppose 3*j - c*p = 9, 0*j + 4*j - 12 = -p. Solve -j*k - 2 = 13 for k. -5 Let b(g) = -4*g - 6. Let q(z) = z. Let p(i) = -b(i) - 3*q(i). Let m be p(-6). Solve m = -f - f for f. 0 Let o = 184 + -179. Suppose 0 = 3*z + 2*z + 10, 4*z + 16 = k. Solve c - k = o*c for c. -2 Let k be 3 + (-3)/(3/(-5)). Suppose k*q + 230 = 18*q. Solve -3*p = 8 - q for p. 5 Let u be 1 + ((-1)/(-2))/(6/(-12)). Suppose u = 11*x - 16*x. Solve x = 7*f - 3*f + 12 for f. -3 Let n = -10 + 13. Suppose -c + 16 = n*c. Solve c*k + 10 = -6 for k. -4 Let f(u) = -u**3 + 51*u**2 - 186*u + 105. Let m be f(47). Solve 214 - m = 3*d for d. 5 Suppose -2*s = -4*w + 8, -5*w + 9 + 3 = -3*s. Solve -3*z + 11 + 1 = w for z. 4 Let j be (4/((-32)/(-30)))/((-15)/(-40)). Let n be 1 + (1 - 2) + 0. Solve n = 2*y + 4 - j for y. 3 Let h(b) = -33*b**2 - 4*b + 17*b**2 + 5 + 15*b**2. Let k be h(-4). Let y(l) = -l - 3. Let j be y(-6). Solve k*c - j = 2 for c. 1 Let t(r) = -r**3 + 5*r**2 - r - 3. Let n be t(4). Suppose 3*p - n*p - 18 = 0. Let u be 130/30 - 2/p. Solve -15 + u = 5*q for q. -2 Suppose 0 = 8*i - 329 - 535. Let n = i + -101. Solve 4*f + n + 1 = 0 for f. -2 Suppose -116 = -5*t + 4*o, 39*t - 3*o - 112 = 34*t. Solve 0 = 7*x + 8 + t for x. -4 Let c = 58 - 55. Suppose 3 = -5*t - 4*z - c, -3*z - 4 = 4*t. Solve -2*k - t + 4 = 0 for k. 1 Let i = -4657 + 4665. Let o(d) = 2*d - 5. Let z be o(4). Solve i = -c - z*c for c. -2 Let k be (5/4 - 1)/((-6)/(-288)). Solve -4*t - k*t + 32 = 0 for t. 2 Let o(f) be the second derivative of f**3/2 - 5*f**2/2 + 2*f. Let x be o(5). Let z be 2/x + (-38)/(-10). Solve z*s + 5 = -s for s. -1 Suppose -48*z + 310 = 14*z. Solve y = -0 - z for y. -5 Let m(p) = p**2 - 5*p - 13. Let u be m(7). Let g be (-1)/(((-18)/15)/u + 1). Solve 0*o - 20 = -g*o for o. 4 Suppose 8*u - 10*u = f + 3, 5*f + 2*u - 9 = 0. Solve 13*z + 62 + f = 0 for z. -5 Let i(a) = 3*a**2 - 6*a - 2. Let d be i(5). Let j = -10 + d. Let c = j + -30. Solve n - 4 = -c*n for n. 1 Suppose t - 19 = -5*o, -o + 15*t - 14*t = -5. Solve -w = -o*w + 9 for w. 3 Suppose -5*k + 9 + 11 = 0. Let p = -172 + 175. Suppose p*x = -k*f + 6*x, -5*f = -5*x. Solve 0 = -f*c + 2*c - 4 for c. 2 Let c = -2 - -8. Suppose -c*r + 12 = -3*r. Solve -8*v + r*v = -16 for v. 4 Suppose -2*w - 7 = -3*w. Let h = w - 3. Suppose 4*v = 3*a - 2*a - 38, -a + 3*v + 36 = 0. Solve h*d + a = 10 for d. -5 Let b be 9 + 8 + -1 + -7. Solve 136*v - 139*v - b = 0 for v. -3 Suppose -f = -10*f - 675. Let r = f - -80. Solve -6 = -7*t + r*t for t. 3 Suppose -23*a = 19*a - 168. Solve 36 = -8*j - a for j. -5 Suppose -36 = -4*q + 4*l, q + 2*l + 9 = -3*l. Let w be (15 - q)*(-2)/(-3). Let u(c) = c**2 - 6*c + 2. Let g be u(w). Solve 2*v = 2 + g for v. 2 Let z(i) = i**3 + i**2 + 79. Let y be z(0). Suppose 2 - y = -7*a. Solve 5 = -4*s - a for s. -4 Let m be 16/6 + 8/(-12). Let n(w) = w**3 + 4*w**2 - 43*w - 7. Let y be n(5). Solve 5*g - m*g - y = 0 for g. 1 Suppose 0*x = x. Let k be (1 - (-270)/63) + 4/(-14). Solve k*t + 3 + 2 = x for t. -1 Let l be ((-128)/(-12) - 11)/(2/(-36)). Solve 10 = l*w - w for w. 2 Suppose -8 + 18 = 3*s + 4*c, -2 = c. Solve -s*x = 29 - 11 for x. -3 Suppose 0 = 2*h - 2 - 0. Let m be 0 - (h + 1 - 2)/(-2). Solve 2*l + m = 4 for l. 2 Suppose c + 123 = -3*j, -3*c - 2*j - 369 = -7*j. Let g = c + 86. Let o = g + 42. Solve 2*s + o - 3 = 0 for s. -1 Let l be (93 + -107)/(1/(-3)). Solve 6*d + l = 20*d for d. 3 Let a be 1/(-8) + (-2988)/(-96) - -6. Solve 10*t = a*t - 27 for t. 1 Suppose a - 9*a = 32. Let h be (-4 - -15) + a - 3. Suppose 0 = -0*f - 3*f - 2*g + 4, -7 = -h*f - g. Solve -f*d - 3 = d for d. -1 Suppose u = -2*u - w + 6, 2*u - w + 1 = 0. Let k be u - (4 - 2 - 3/1). Solve k*c - 6 = -c for c. 2 Let d = 79 + -74. Suppose -15 = -5*v - 0*n + d*n, 0 = 2*v - n - 10. Suppose -3*x + 36 = -3*p, 0*x + 4*x - 5*p - 48 = 0. Solve v*c - 3*c = -x for c. -3 Let u be (-1120)/(-28) + (2 - 12). Solve u = 11*x - 3 for x. 3 Suppose -s - 256 + 265 = 0. Solve s = -4*m - 11 for m. -5 Suppose 0 = c - 16 + 15, 2*c = 2*h - 164. Solve 0 = -h*g + 87*g + 8 for g. -2 Let x be (51/(-6))/(1/2). Let s(u) = -u**3 + 7*u**2 + 3*u + 8. Let y be s(7). Let t = x + y. Solve -m + t = 2*m for m. 4 Let i be (8/28)/((-6)/(-63)). Solve -53 + i = -10*k for k. 5 Let h(q) = -q**2 - 22*q - 22. Suppose -g = -5*g + 8, -y - 4*g - 12 = 0. Let d be h(y). Solve 0 = -3*x + d - 3 for x. 5 Let k(x) = 17*x + 2. Let v be k(-1). Let q = v - -17. Solve 0 = -q*p + 6 + 2 for p. 4 Let x be (-4 - -6)/(2 - (-120)/(-63)). Solve 14 = -x*s - 28 for s. -2 Let z be (4 - (-3 - (-7 + 4))) + -1. Le
{ "pile_set_name": "DM Mathematics" }
nearest 100. 4000 Let v = 0.38 - -70.62. Let d = 72.12 - v. What is d rounded to one decimal place? 1.1 Let c = 5.0548 - -0.1852. Round c to zero decimal places. 5 Let i = -1.1 + 2.4. Let f = 1.242245 - -0.057175. Let d = f - i. What is d rounded to four dps? -0.0006 Let n = 524 - 593.8. What is n rounded to the nearest ten? -70 Let y(o) be the third derivative of 23*o**6/40 - o**5/10 - 5*o**4/12 - o**3/2 - o**2. Let s = 53 + -42. Let t be y(s). Round t to the nearest 10000. 90000 Let s = -1.9261 - -25.8671. Let f = -24 + s. What is f rounded to 2 dps? -0.06 Suppose 5*k = 31*k + 103220. Round k to the nearest 1000. -4000 Let g = 10.7 + -12. Let s = -0.74 + -0.06. Let q = s - g. Round q to 1 decimal place. 0.5 Let a(v) = -v**3 + 8*v**2 - 12*v - 3. Suppose 2*q = -5*p + 10, 0*p - 2*p = -2*q + 24. Let f be a(q). Let j = -147 - f. What is j rounded to the nearest 10? 180 Let c = 219.66 - 38.76. Let b = c - 192. What is b rounded to 0 decimal places? -11 Let k = 67 - 98. Let w = k + 31.007. Round w to two dps. 0.01 Let x = 670 - 161.5. What is x rounded to the nearest one hundred? 500 Suppose 0 = -3*c - 2*f - 16 - 22, -3*f = 12. Let b = c - -15. Suppose -6*i + 4 = -4*i, b*v + 4*i = -572. What is v rounded to the nearest 10? -120 Let q = -71 - -66. Let d be (-95000)/((q - 1) + 5). What is d rounded to the nearest 10000? 100000 Let l = 25739.4248 + -25725. Let h = l + -14.104724. Let v = -0.32 + h. What is v rounded to five decimal places? 0.00008 Let o = -11339507.00064 - -11323096. Let p = o - -16405. Let m = 6 + p. What is m rounded to 4 decimal places? -0.0006 Let u = -197984 + 197957.99996. Let y = -26 - u. What is y rounded to five dps? 0.00004 Let t = -57921230 - -35579230. What is t rounded to the nearest one million? -22000000 Let m = 16400493.91825 - 119.91825. Let x = -16400374.15000017 + m. Let v = x - -0.15. What is v rounded to seven dps? -0.0000002 Suppose 0 = 5*r - 20, -2*c + 4*r + 9 = 21. Let s be -3*c/6*-4. Let l be 40*4*(11871 + s). What is l rounded to the nearest 100000? 1900000 Let i = -9.456 - 0.494. Let b = i - -10. Let p = -0.0500064 + b. What is p rounded to six dps? -0.000006 Let f = -35 - -34.57. Let q = -0.66 - f. What is q rounded to one decimal place? -0.2 Let m = -280.21937 - -280.2. Round m to 3 decimal places. -0.019 Let h be ((-6)/(4 + -6))/3. Suppose 0 = z + h - 4. Suppose z*i = r + 108, 3*r - 5*r = i - 29. Round i to the nearest 10. 40 Let o = -16.289997012 + 16.29. What is o rounded to six dps? 0.000003 Let n = -0.0428791107 + 0.04288. What is n rounded to 7 decimal places? 0.0000009 Let h(r) = r**3 - 7*r**2 - 5*r + 54. Let b be h(7). Round b to the nearest 10. 20 Let r(t) = 20*t**2 - 11. Let f be r(-9). Let a = 9932 - f. Suppose -3*n - 2477 = a. What is n rounded to the nearest 1000? -4000 Let n = -39532082 + 78332082. Round n to the nearest 1000000. 39000000 Let h = 350.98 + -353. Round h to 1 dp. -2 Let x = -35.056 - -0.056. Let s = 5 - x. Let j = -34.4 + s. Round j to the nearest integer. 6 Let j = -12.661 + 22.6604. Let d = -11.6 - -1.6. Let c = d + j. Round c to 4 dps. -0.0006 Let n(f) = 31*f**3 + 6*f**2 - 5*f. Let j be n(4). Let k be (2/1 - 9/6)*j. What is k rounded to the nearest 100? 1000 Let o(i) = 56719*i**2 - 23*i + 22*i + 5 - 13. Let d be o(8). Round d to the nearest 1000000. 4000000 Suppose t = 5*t. Suppose 12 + 14 = 2*y + 2*d, -4*y + 3*d + 17 = t. Let u = -8 + y. Round u to 7 dps. 0 Suppose 0 = -4*h + f + 31852, h - 3572 - 4408 = -4*f. Round h to the nearest 100. 8000 Let k = -23.81 - -24. Let b = k - 0.69. What is b rounded to the nearest integer? -1 Let r(l) = 15341*l**3 + 18*l**2 + 79*l - 10. Let h be r(-10). What is h rounded to the nearest 1000000? -15000000 Suppose -118697923 = 11*y - 535597923. Round y to the nearest one million. 38000000 Let i = 146186107.5404003614 + -146186314.399. Let v = i - 0.1413900614. Let u = v + 207. What is u rounded to 6 decimal places? 0.00001 Let x be -747662*-18*(-1)/(-4). Let u = x - 1924479. What is u rounded to the nearest 100000? 1400000 Let z = 57.57 - -0.43. Let k = 57.999912 - z. Round k to 5 decimal places. -0.00009 Let j = 184 + -184.00071. What is j rounded to four decimal places? -0.0007 Let m = -0.013 + 0.0811. Round m to two dps. 0.07 Let b = -1.75813 - 120.44212. Let r = b - -121. Let v = r + 1.2. Round v to five dps. -0.00025 Let a = -34 - -20.5. Let w = a + 2.5. Let j = w - -11.000009. Round j to five dps. 0.00001 Let p = -8.1 - -0.1. Let a = p + 8.00000004. What is a rounded to 7 dps? 0 Let u = -36.628 - -36.4. What is u rounded to two dps? -0.23 Let a(b) = 3*b**3 - 12*b**2 - 10*b - 4*b**3 + 2*b**2 - 4 + b. Let f be a(-9). Let l be f/26 - (-3164)/(-52). Round l to the nearest ten. -60 Let k = -51518705.5 - -759396.5. Let t = k - -50759269.000047. Let c = t + 40. Round c to 5 decimal places. 0.00005 Let z = 294708119 - 294707932.000083. Let o = z - 187. What is o rounded to five dps? -0.00008 Suppose 0 = y - 5*y - 385468. Let d = y + -40633. What is d rounded to the nearest 10000? -140000 Let z(y) = y**3 - 4*y**2 + 2*y - 5. Let h be z(4). Let f be 428/16 + h/12. Let u = f - -14. Round u to the nearest 10. 40 Let l = -1602 - -1602.000987. Round l to four decimal places. 0.001 Suppose 2*v = 6, 2*c = 145*v - 146*v + 55600003. Round c to the nearest 1000000. 28000000 Let b = 2221501512.00000035 - 2221501580. Let c = b - -68. What is c rounded to seven dps? 0.0000004 Let n = -57291.70314 + 3130731712.70314. Let m = 3130674404.39999859 - n. Let x = m + 16.6. What is x rounded to seven decimal places? -0.0000014 Suppose -7*b - 18 = -13*b. Suppose -c + 5*x - 1860 = 3*c, 5*x + 1430 = -b*c. What is c rounded to the nearest 10? -470 Let b(t) = -98470*t + 60. Let g be b(-2). What is g rounded to the nearest 100000? 200000 Let x = 18.21 - 0.21. Let u = x - 32. Let f = u - -14.00000036. Round f to seven decimal places. 0.0000004 Let r = 1590 - 7080. Round r to the nearest one hundred. -5500 Let o = -8387 + 7915.7. What is o rounded to the nearest 10? -470 Let c = 26529250 - -20970750. Round c to the nearest one million. 48000000 Let t(j) = -13239*j - 4. Let x be t(-4). Let q = 82768 - x. Suppose -14184 - q = 4*d. What is d rounded to the nearest 10000? -10000 Let q = 0.199 - -115.801. Let k = 116.026 - q. Round k to two decimal places. 0.03 Let p = 0.00432173 + 0.68567137. Let d = 0.69 - p. Round d to six dps. 0.000007 Let c = 530.8 + 110.2. Let o = c + -640.97073. Let n = -0.029 + o. Round n to four decimal places. 0.0003 Let i be ((-14)/6)/(2/6). Let d = -3668 - -2568. Let v be (d/6)/(i/126). Round v to the nearest 1000. 3000 Suppose -8 - 970 = 3*i. Let z = i + 219. What is z rounded to the nearest 10? -110 Let n = -113 + 110.945. Round n to one dp. -2.1 Let d be 44*10/(-15)*45. Round d to the nearest one hundred. -1300 Let s = 5.8 + 18.2. Let i = s + 47. Let j = i + -71.00049. Round j to four dps. -0.0005 Let v = 41 + 4.5. Let h = v - 1.5. Let o = -44.000046 + h. Round o to 5 decimal places. -0.00005 Let b be 39459891 + (-4)/3*3. Let g = b - 27759887. Round g to the nearest one million. 12000000 Let o = -0.0519 + 0.051577. Round o to 5 dps. -0.00032 Let k = 4 - 43. Let n = -38.83 - k. Let v = 0.03 - n. What is v rounded to one decimal place? -0.1 Let t = 296 - 525. Let l = 228.7091839661 + 0.2908281339. Let n = l + t. What is n rounded to 6 decimal places? 0.000012 Let n = 1.4 + 0.1. Let g = n + -2.9. Let z = g - -1.3986. Round z to 3 dps. -0.001 Let v = 35.940226 - 35.6302. Let f = v - 0.31. What is f rounded to 5 dps? 0.00003 Let b(q) = q + 1. Let n be b(-1). Let h = n + 2. Suppose d - 3*w = 3290006, -4*w = -h*d + d + 3290008. What is d rounded to the nearest 100000? 3300000 Suppose 2*g - 5*g + 24 = 0. Let s(k) = 206250*k**2. Let m be s(g). What is m rounded to the nearest 1000000? 13000000 Let m = -174.3 + 174.31935. What is m rounded to three dps? 0.019 Let j = -316 - -1868. Let f = 1552.10096 - j. Let c = -0.1 + f. What is c rounded to four decimal places? 0.001 Let z(m) = -4277*m - 133. Let t be z(-9). What is t rounded to the nearest one thousand? 38000 Suppose -31*t = -23*t + 2520. Round t to the nearest one hundred. -300 Let s = -1057.3 + 1056.8089. Let b = s - -0.49. Round b to 3 dps. -0.001 Let n = 49 + -116. Let h = -65.346 + -0.534. Let b
{ "pile_set_name": "DM Mathematics" }
alue? (a) r (b) -0.4 (c) q c Let q(m) = -m**3 - 4*m**2 + 3*m - 7. Let r be q(-5). Let z be 1/7 + (-40)/770. What is the smallest value in z, 0.4, r? z Let n(y) = -y**3 + 2*y**2 + 5*y - 2. Let p be n(4). Let f be (-4)/p - 76/70. Which is the second smallest value? (a) f (b) -2 (c) -0.5 a Let u be (12/(-10))/((-10)/(-300)). Let t be 1/2 + (-6)/u. Which is the second biggest value? (a) -5 (b) t (c) -0.05 (d) -3/8 c Let l = -18.7 - -15. Let u = l + 3.5. Let o = -0.08 + -0.02. Which is the third biggest value? (a) -2/13 (b) o (c) u c Suppose 12*x = 6*x - 864. Let y be 10/(-5) + x/(-69). What is the third smallest value in -2/17, y, -4? y Let x be (-4)/(-10) + 20/350*-7. Which is the biggest value? (a) -4 (b) -28 (c) x c Let k = -21 - -22. Let s be (-82)/(-16) - k - 4. What is the third biggest value in -3, -0.3, s? -3 Suppose 13*n = 21*n - 16. Let f = 7 - 3. Which is the second biggest value? (a) n (b) -0.3 (c) f a Let x = 77.7 + -82.7. What is the third biggest value in -4, 5, 0.1, x? -4 Suppose 2*x - x = 4. Suppose -2*p = -5*h + 30, 0 = -2*p - 0*p - h - 18. Let z be (6/(-7))/(p/(-14)). Which is the third biggest value? (a) -0.1 (b) z (c) x b Let o = 2 - 3. Let g be ((-4)/(2*-2))/(-11)*o. What is the third smallest value in 2/13, 13, g? 13 Let u = -40.5 - -36.5. Which is the second biggest value? (a) -20 (b) -0.4 (c) u (d) -5 c Let r = -4.55 - -1.54. Let i = -3 - r. Let k = -4354/9 - -484. Which is the third biggest value? (a) k (b) i (c) -4 c Let z(o) = o**2 + 28*o + 20. Let g be z(-28). What is the third biggest value in g, -0.4, 2/9? -0.4 Let f = 737 + -736.6. Which is the third smallest value? (a) -1 (b) 2 (c) -20 (d) f d Let m = 2210 - 28732/13. What is the third biggest value in -22, m, 1/7, 5? m Let b = -2.8 + 21.8. Let o = -23 + b. Let i = -10 - -9.5. What is the third smallest value in o, -0.3, i? -0.3 Let x(v) = -v**2 + v + 126. Let k be x(0). Let h be (-190)/k - 12/(-54). Let z = 43/28 + h. Which is the biggest value? (a) -0.2 (b) -3 (c) z c Let y be 3/6*1*(-18)/15. What is the second smallest value in 0, -0.2, y? -0.2 Let v = -0.37 + -14.63. Let a = v + 14.7. What is the second smallest value in a, 0, -0.1? -0.1 Let d = -175 - -173. Let i = -0.02 - -0.02. What is the third smallest value in i, 1/4, -0.1, d? i Let t = -112 - -111.8. What is the second biggest value in t, -4, 0? t Suppose 3*a = -s + 6, -38*s + 40*s - 9 = -5*a. What is the third smallest value in a, 14/3, -0.4? 14/3 Let q = -4.8968 - 0.1032. Let a = 1 - -6. Let m = a - 5. What is the second smallest value in q, -3, m? -3 Suppose -t + 512 = 5*o + t, 200 = 2*o + 2*t. Let n = 316/3 - o. What is the second smallest value in 9, -0.1, n? n Let k = -0.91 + 5.6. Let n = 0.31 + k. Let u = -0.34 + -0.06. Which is the second biggest value? (a) n (b) u (c) -5 b Let h = -416.93 + 415. Let f = 0.07 - h. Which is the fourth biggest value? (a) -3 (b) f (c) 0.4 (d) 0.2 a Let g be (-24)/70 - 276/4830. What is the third smallest value in 1, g, -1, -21? g Let g = 12 + -37/3. Let d be ((-8)/(-3) - 2)/2. Let v = 1 + -1. Which is the second biggest value? (a) v (b) g (c) d a Let l = -7.39 - -0.39. Let s = -7.1 - l. Which is the second biggest value? (a) 0.2 (b) s (c) -9/4 b Let u = -22 + 17. Which is the fourth smallest value? (a) u (b) 24 (c) 0.2 (d) 1/2 b Let u = -1850 + 1845. What is the biggest value in 0.2, -495, u? 0.2 Let i = 21666 - 4809781/222. Let t = -1/74 - i. What is the second biggest value in -2/3, t, -1/5, 5/3? -1/5 Let q = 1103.3 + -1103. Which is the biggest value? (a) -0.3 (b) 0.0513 (c) q c Suppose 2*l = l - 5*x - 22, l + x + 2 = 0. Let u = -474.4 + 473.4. What is the third biggest value in 0.3, -0.3, l, u? -0.3 Let s be (-423)/(-81) - (-6)/(-27). What is the third biggest value in 1, -1/3, s? -1/3 Suppose 3*w + 3 = 6*w. Let s = 2.02 - 2.4. Let h = s - 1.62. Which is the second biggest value? (a) h (b) w (c) 0.2 c Suppose -o + 6 = o. Suppose 0 = -0*y + o*y - 30. Suppose 8*p - 3*p + y = 0. Which is the third smallest value? (a) 5/2 (b) 1/4 (c) p a Let s be 64/((-24)/6) + -5. Let w = 3 + -1. Let j be w + (s/1)/3. What is the third smallest value in 1/6, j, -9? 1/6 Let x be (-12)/(-32) - (-6)/(-16). Let q = 4/7 + -1/14. What is the third smallest value in -1/5, x, q, 3? q Let z = 12.71 - 13.2. Let f = -4.49 - z. Which is the biggest value? (a) -0.2 (b) -9 (c) f a Let g = 0.4 + 1.6. Let f = 5 - g. Let z = -1139/6 - -190. What is the smallest value in 4/3, f, z? z Let r = -362.8 + 363. Which is the fourth smallest value? (a) -0.4 (b) -1 (c) 2 (d) r c Let u = 9.3 + -57.3. Let o = u - -51.1. What is the third biggest value in -1/7, -4, o, 0? -1/7 Let v = -58.5 - -55.5. Let c = 6.3 - -0.7. What is the second biggest value in c, -0.4, v, -2/9? -2/9 Let m be 2/(-4) + (-15)/(-2). Suppose 3*q = m + 8. Let f(l) = l**3 - 11*l**2 + 9*l + 9. Let p be f(10). Which is the smallest value? (a) p (b) q (c) 3/4 a Let r = -1105 - -1105.05. What is the third smallest value in r, 22, 0? 22 Suppose 33*m = 332 - 200. Let y = -2/53 - 37/424. Which is the second smallest value? (a) y (b) 2/13 (c) m (d) 0 d Let q = -234.8 + 235. Let k = -1224/13 + 94. Which is the second biggest value? (a) -5 (b) k (c) q b Let p = 353.1 - 353. Which is the third smallest value? (a) -2/15 (b) p (c) 0 b Let l = 308.6 - 309. What is the third biggest value in l, 1/8, 0.73? l Let x = 0.293 + -5.553. Let j = 0.26 + x. Let f = -4 - j. What is the third biggest value in 4/7, 2, f? 4/7 Let p = -2.5 + 2.8. Which is the fourth smallest value? (a) -5 (b) p (c) -3 (d) -3/44 b Let z = 580 + -585. Which is the third smallest value? (a) -3/2 (b) 0.6 (c) 21 (d) z b Let o be 21/(-36) + (-2)/(-8). What is the second smallest value in o, -16, -0.5? -0.5 Let h = -22 - -23.9. Let k = -38.6 + 38.5. What is the second smallest value in -2, k, h? k Let p = -1.2 + 1.2. Let g = 1 - p. Let i = g + -0.2. Which is the smallest value? (a) i (b) 3 (c) 1 a Let k = -112 - -445/4. Let x be (-4)/18 + (-901)/(-1908). Which is the fourth smallest value? (a) 0 (b) x (c) -0.4 (d) k b Suppose 10*b - 5*b - 22 = 3*m, -5*m - b - 18 = 0. Let l = -67 - -65. What is the fourth biggest value in 4, l, m, 1/9? m Let h = -1501 + 1489. What is the smallest value in h, -5/2, 1/9? h Let z be 4 + (-12 - -10) + (-24)/15. Let f = 0.23 + 0.07. Which is the third smallest value? (a) 5 (b) f (c) z a Let f = 1096 + -1101. Which is the smallest value? (a) 2/7 (b) f (c) 15/7 b Let d = -5.4 - 3.6. Let m = d + 11. Which is the biggest value? (a) 5 (b) m (c) -1/11 a Let g = -603 + 599. Let a be 0 - (-2*1)/14. What is the smallest value in g, a, 2/7? g Let c be 8/(-40) + (171/15)/(-3). Let j = -3 - -3.2. Let h = -0.4 - -0.1. What is the second biggest value in h, c, j? h Let n = 0.05 + -4.05. Let w = n - -3.5. Suppose i - 13 = 5*y - 5, -5*i = 4*y - 11. What is the third biggest value in -9, w, y? -9 Let h = 0.2 + 0. Let l = h + 0.3. Let x = 1703 - 1702. What is the second smallest value in 0.4, l, x? l Let p = -18.4 + 18. Suppose -4*h - 20 = h. Let u = -0.6 - -0.8. Which is the smallest value? (a) h (b) p (c) u a Let n = -2 + -2. Suppose -24*d + 14 = -23*d. Let f be 200/(-455) - n/d. Which is the second biggest value? (a) 5/3 (b) f (c) 2/17 c Let x = 0.926 - -0.074. Suppose 4*n - 16 = 0, 5*m - 17 = -5*n + 3. Let h be (-1 + m)*(-3 - 0). Which is the third biggest value? (a) h (b) -0.4 (c) x b Let n = 216 - 218. What is the third smallest value in -1/2, n, -51? -1/2 Let t be (-1)/4 + (-29)/(-84). Suppose 2*g - 9*g = -2*g. Let x be 1 + g + (4 - 6 - 3). Which is the third smallest value? (a) t (b) 0.5 (c) x b Let k = -0.2 + 0.3. Let y = -1922 - -1920. What is the third smallest value in k, -1, y? k Let o = 13.13 - 14.53. Which is the fourth smallest value? (a) 3 (b) -5 (c) o (d) -0.04 a Let r = 0.035 - 3.035. Let k = -3.2 - r. Which is the second biggest value? (a) -0.4 (b) -0.1 (c) k c Let i = 33 - 32.77. Let v = 0.13 - i. Let f = 7 + -6. Which is the second biggest value? (a) f (b) -3 (c) v c Let k = -0.0597 + 2.0597. What is the third biggest value in 0.4, k, 23? 0.4 Let l = -720 - -5757/8. Let j = -1 - -1.2. What is the second smallest value in 4, j, l? j
{ "pile_set_name": "DM Mathematics" }
2 and give y. -1 Express 8 - 15*u - 7 - 1 as l*u + x and give l. -15 Rearrange (-5*a + 0*a + 2*a)*(-33 + 2*a**2 - 2*a + 33) to t + o*a + j*a**3 + p*a**2 and give j. -6 Express 2 - 7*y + 15*y - 12*y + 0 - y**2 as p*y + l + d*y**2 and give l. 2 Express -25 + 32*a**2 + 57 - 32 in the form r + d*a + w*a**2 and give w. 32 Express -6 - 21*i**2 + 6 - 3*i**2 in the form u*i + o + s*i**2 and give s. -24 Rearrange 5*y**3 - 5*y**3 + 0*y**2 - y**2 - 3*y**3 to t + z*y**3 + o*y**2 + l*y and give z. -3 Rearrange (1 + 3*i - 1)*(-3*i + 4*i + 3*i) + (0*i + 2*i + 0*i)*(-2 + 2 - i) - 2*i**2 + i - i + 3*i**2 - 3*i**2 - i**2 to k*i + a*i**2 + t and give a. 7 Express -2 - 5*m**2 + 2*m**2 + m**2 + 2*m**3 + 2*m**4 + 0*m**4 in the form l*m**2 + h*m**4 + z*m**3 + i*m + x and give x. -2 Rearrange -4 + 11*o - 1 + 5 to the form d*o + l and give d. 11 Express 6 + 7*l**4 - 6 - 2 - 10*l**4 - 3*l**3 as x + h*l**4 + c*l + u*l**2 + z*l**3 and give h. -3 Rearrange (0 + 0 + 2)*(x + 3*x - 5*x)*(-2*x + 2*x - 2*x) + (4 - 4 - 2*x)*(x - 3*x + 0*x) to n*x**2 + m*x + u and give n. 8 Rearrange (49*f - 21*f - 10*f)*(-f + f + 2*f)*(-3 - 1 - 5) to y*f**2 + o*f + r and give y. -324 Express -9*q**2 - 9*q**2 + 7*q**2 - 6*q**2 as s*q**2 + r*q + b and give s. -17 Rearrange (4*a + 0*a - a)*(-1 + 5 + 2) + 1 - 2*a - 1 to the form f*a + d and give f. 16 Express 14 - 3*o**4 - 14 + (3*o**2 + 0*o**2 - 9*o**2)*(2*o - 4*o + o)*(4*o - 6*o + 5*o) in the form g*o**3 + c + z*o + w*o**4 + r*o**2 and give w. 15 Rearrange (-16 + 6 - 3)*(-2*t + 2*t + 2*t**3) to l*t + y*t**3 + z + i*t**2 and give y. -26 Rearrange 5 - y + 10 - 4 - 6 to the form s*y + c and give s. -1 Express (-m - 3 + 3)*(2 + 3 - 6)*(1 + 1 - 4)*(-12*m**2 + 8*m**2 + 9*m**2) as k*m + j*m**2 + g*m**3 + q and give j. 0 Express -18 - 23 + 41 - l in the form b*l + n and give b. -1 Rearrange 0*q**4 - q + 0*q**4 - 4*q**4 + 11*q**3 + 6 - 8 to z*q**3 + p*q**4 + u + d*q + b*q**2 and give u. -2 Express -2*y**3 + y**3 - y**4 - 2*y**2 - y**3 + 6*y**3 as s*y**2 + a*y + h*y**3 + g*y**4 + u and give h. 4 Express (-21*r - 1 - 23*r + 40*r)*(r**2 - 1 + 1) as s*r**3 + n*r + p + z*r**2 and give z. -1 Rearrange 13*o + 23*o**3 + 12 + 2*o**4 - 25*o**3 - 11 to j*o**4 + r + k*o + d*o**2 + n*o**3 and give n. -2 Express 6*h + 10*h - 11*h as t*h + y and give t. 5 Rearrange (-1 + 1 - x**2)*(2*x - 3*x + 1 - 23 + (-x + 5*x - 6*x)*(0 - 5 + 4))*(-4 + 2 + 3) to o*x**2 + z + y*x**3 + a*x and give z. 0 Express 15*v**2 - 7 + 5 + 2 as s*v + x + r*v**2 and give x. 0 Express r + r + r - 8*r as q*r + w and give q. -5 Express 11*i**2 + 0*i**2 - 2*i**2 in the form l + k*i + t*i**2 and give k. 0 Express (2 - 4 - 1)*(3 - 4 + 3)*(32*r + 3*r**2 - 32*r) in the form g + p*r + j*r**2 and give j. -18 Rearrange 37*k + 29*k + 10*k to the form o + c*k and give c. 76 Express 2*x**4 + 2 - 3*x**4 + 3*x**4 - 2*x - 4*x**2 in the form b + p*x**4 + t*x + m*x**3 + q*x**2 and give p. 2 Rearrange (-1 + 10 - 10 - 9*j)*(0*j**3 + j**3 + 0*j**3) to m*j**3 + z*j + p + v*j**2 + t*j**4 and give m. -1 Rearrange -2*x - 7*x - 14*x + 0*x to m*x + o and give m. -23 Express (4*c**3 - 2*c**3 - 3*c**3)*(3*c - 2*c - 3*c) + 4*c**4 + 2*c**4 - 3*c**4 as x*c + b*c**4 + z*c**3 + g + t*c**2 and give b. 5 Express -h + 7*h + 11*h + h**2 + 5*h as p*h + v*h**2 + t and give v. 1 Rearrange (-d + 2 - 2)*(-1 - 3 + 0) + (3 - 3 + 1)*(0*d + 0*d + d) - 12*d + 3*d - 3*d to g*d + k and give g. -7 Express (3*y + 2*y - 3*y)*(-5*y + y + 2*y)*(0*y**2 + 4*y**2 - 2*y**2) + 5*y**3 - 5*y**3 - 6*y**4 as a*y**2 + b*y + v*y**3 + j*y**4 + h and give j. -14 Rearrange (s**3 + 0*s**3 - 3*s**3)*(37*s - 3*s + 50*s - 3*s) to the form j + t*s**4 + o*s + v*s**2 + c*s**3 and give t. -162 Rearrange 5*r**2 + 0*r + 2 - 4*r**2 + 7*r - 2*r to f*r + g + t*r**2 and give f. 5 Rearrange 6*v**2 - 32*v - 77*v**2 + 33*v to c + j*v**2 + h*v and give h. 1 Express -r - 2*r - 3*r - 68*r**2 + 5*r in the form j*r + a + k*r**2 and give j. -1 Rearrange 13*u**2 + 3*u - 2*u + 5*u**2 + u**3 - u**2 to h + n*u + d*u**2 + m*u**3 and give m. 1 Express -223*b**2 + 242*b**2 - 4 + 24*b**4 + 5 - 22*b**4 as i + j*b + x*b**2 + f*b**4 + g*b**3 and give x. 19 Express -46*c - 72*c - 92*c as p*c + t and give p. -210 Express -3904*h**2 + 3904*h**2 + 50*h**4 + 2 - h**3 in the form v*h**2 + c*h**3 + y*h + p*h**4 + r and give p. 50 Rearrange (w**2 - 2*w + 2*w)*(-4*w**2 + 2*w**2 + w**2) - 232*w**4 + 365*w**4 - 361*w**4 to the form s*w + n*w**4 + p + h*w**2 + j*w**3 and give n. -229 Express (33 - 1 - 2 + (3 - 3 + 1)*(-3 + 2 + 0))*(-3*y - 2*y + 3*y) as f*y + j and give f. -58 Express ((w + 0*w - 2*w)*(0*w + 2*w + 0*w) + 54*w**2 - 36*w**2 + 78*w**2)*(-2*w + w - w) in the form h*w**2 + m + j*w**3 + y*w and give j. -188 Rearrange 2*m**2 + 3*m**2 - 3*m + 4*m**2 - 5*m**2 to b + l*m**2 + t*m and give t. -3 Express 34*o + 24*o + o in the form l*o + n and give l. 59 Express (-q + 7*q - 2*q)*(0*q**2 - q**2 - 5*q**2) in the form u + t*q + s*q**2 + l*q**3 and give l. -24 Express -j**3 + 8*j**2 + 7 - j**4 + 0*j**3 - 8 - 5*j**2 in the form o*j**2 + g*j**3 + d + m*j + s*j**4 and give s. -1 Express 13 - 13*l - 29 + 18 as p + h*l and give h. -13 Rearrange (j + 2*j - j)*(1 - 9 - 2)*(7*j**2 - 4*j**2 + 4*j**2) to k*j**2 + b + n*j**3 + y*j and give n. -140 Express -11*x**4 - 3*x**2 - 2 + 2*x**2 + 12*x**4 + x - 1 as t*x**2 + y*x + c*x**4 + p*x**3 + i and give t. -1 Express -3*y + 3*y**2 + 3*y + 2*y**2 - 3*y + 3*y + (y**2 + 24*y**2 + 35*y**2)*(1 + 0 + 0) in the form p*y**2 + r*y + t and give p. 65 Rearrange 9*g - 10*g + 2*g + 3*g + 5 to i + o*g and give o. 4 Rearrange -6*i**3 - 7*i**3 - 2 + 8*i**3 to k + z*i**3 + t*i**2 + w*i and give k. -2 Express (-1 + 0 + 2)*((-k - 1 + 1)*(-3 + 3 + 2*k) + k**2 - 2*k**2 + 2*k**2 - 11*k**2 + k**2 + 5*k**2) as r*k**2 + y*k + i and give r. -6 Express (-5 + 1 + 1 + 5 - 7 + 13 + (1 - 3 + 1)*(4 - 5 + 0))*(n - n + n) as v + u*n and give u. 9 Express -1 + 12*t + 2*t**3 - 12*t + (4 + 8*t - 4)*(-t + t - 2*t**2) as o*t + q + w*t**2 + v*t**3 and give q. -1 Rearrange (44 - 27 - 23 - 15)*(-5*u + 4*u + 0*u) to r*u + h and give r. 21 Rearrange -5*r**2 + 19 - 11 - 10 + 2*r**3 to l*r**3 + a + f*r**2 + v*r and give l. 2 Rearrange 22*d - 16 + 17 + 6*d - 114*d to l*d + h and give l. -86 Express 2*m**3 - m**3 - 4*m**3 + (0*m**2 + 2*m**3 + 0*m**2)*(2 - 3 - 1) - 4*m**3 + 5*m**3 - 2*m**3 in the form p*m + d*m**3 + s*m**2 + j and give d. -8 Express (4*g - 4*g - 4*g)*(3*g - 2*g - 3*g)*(4*g**2 + 0*g**2 - 2*g**2) as h*g + s*g**3 + f + j*g**4 + o*g**2 and give j. 16 Express (-w + w + 4*w)*(-w**3 + 8*w**2 - 8*w**2) in the form i*w**2 + k*w + h + o*w**4 + x*w**3 and give o. -4 Express (-3*y**2 + y**2 + 5*y**2)*((5 - 2 - 4)*(0 + 1 - 3) + 137 - 50 - 38) in the form r*y + u*y**2 + w and give w. 0 Rearrange (-c**2 - c**2 + 1 + 2)*(3 + 0 - 1)*(3*c + 0*c + c + (-2*c + 7*c - 2*c)*(-2 + 3 + 0)) to the form d*c**3 + v + a*c + f*c**2 and give a. 42 Rearrange 9*a + 2 - 17*a + 10*a - a**2 to k*a**2 + q + h*a and give h. 2 Rearrange -69 + 68 + 2*r**2 + 0*r**2 - r - 6*r**3 - 2*r**4 to the form g*r**4 + c*r + k*r**3 + f*r**2 + u and give k. -6 Express 2 - 4*o**2 - 359*o**3 + o**4 + 359*o**3 in the form t + u*o**4 + a*o**2 + s*o**3 + i*o and give s. 0 Rearrange 12*p**2 + 7*p**2 - p**2 to the form s + u*p**2 + i*p and give u. 18 Express 239 + 95*p - 239 + (7 - 3 - 2)*(2*p - 2 + 2) as q + u*p and give q. 0 Rearrange 10*m - 9*m - 19*m to the form x + s*m and give s. -18 Express 2499*w + 22*w**3 - 2499*w + (4*w**2 + w**2 - 4*w**2)*(1 + w - 1) - 2 - 2*w**3 + 2 as x*w + d*w**3 + n*w**2 + o and give d. 21 Express j**3 + 40*j**4 + 3*j**3 - 6*j**3 - 200 + 2*j**2 + 199 in the form z*j**2 + m*j**3 + b + y*j + a*j**4 and give a. 40 Express -3*i**2 + 17*i**3 + 1 - 11*i**3 - 8*i**3 in the form w*i**3 + f + x*i + r*i**2 and give f. 1 Express (1 + 2 + 2)*(-1 + 2 - 3)*(-7*a + 0*a + a)*(-1 + 0 - 1) in the form m*a + q and give m. -120 Express 3*l**3 - 3*l**3 + 3*l**3 + (-8*l + 18*l - 5*l)*(2*l**2 - 1 + 1) as t*l**3 + j*l**2 + s + g*l and give t. 13 Rearrange -135*a**2 - 1604 + 1604 to l*a + w + k*a**2 and give k. -135 Rearrange 14*j**2 - 18*j - 1 - 6*j**2 + j**3 - 8*j**2 to q*j**2 + g + m*j + t*j**3 and give g. -1 Rearrange (-2*g - g + 2*g)*(2*g - 1 + 1) - g**2 + g**2 - 2*g**2 + 4*g + g - 10*g**2 - 4*g to a*g + j + t*g**2 and give a. 1 Rearrange 2*x + 6*x -
{ "pile_set_name": "DM Mathematics" }
y for z. -5 Let b be (1 + 3/(-2))*-2. Suppose -i + b = -1. Suppose 10 = 4*x - i*u, -u + 0*u = -1. Solve 0 = -0*c + 3*c + x for c. -1 Let x(t) = 24*t + 542. Let s be x(-22). Solve 11*h - s + 3 = 0 for h. 1 Suppose 5*y - 240 = -0*y. Suppose -4*d = -2*m - y, 0*m = 3*m + 12. Solve 5*v + 0*v = d for v. 2 Let v(z) = -z + 3. Let g be v(1). Let k(h) = -h - 1. Let y be k(-7). Solve -2*r = y + g for r. -4 Suppose t - 7*t - 108 = 0. Let s be (250/(-18))/(-5) - 4/t. Solve s*b = 4*b + 2 for b. -2 Let z(y) = -y**3 - 11*y**2 - 5*y + 11. Let o be z(-11). Let v = 71 - o. Solve v*m + 20 = m for m. -5 Let o(r) = -r**3 - 16*r**2 + 17*r. Let m be o(-17). Suppose 0 = -m*x - 4*x + 12. Suppose -5*u + 17 = -g, -x*g + 8*g + u = 19. Solve -g = -0*l + 3*l for l. -1 Suppose 15*p - 9*p = 126. Suppose p = 4*w - w. Solve -5*t + w = -13 for t. 4 Let w be 3*3/(9/(-20)). Let r = 25 + w. Suppose g = r*g. Solve g*n + n = 0 for n. 0 Let y(s) = -2*s**3 - 4*s**2 + s - 1. Let v be y(-3). Suppose 5*b + 10 = 5*i, 5*i - v = b + i. Solve -2*z + 12 = b*z for z. 3 Let k = 20 + -17. Let x = 21 + -19. Solve -x*l = l - k for l. 1 Suppose -5*g - 10 = -2*y, -7*y + g = -5*y - 2. Solve 26*t - 22*t + 12 = y for t. -3 Suppose 0 = 3*d - 4*d. Let z(i) = i. Let y(v) = 4*v - 1. Let f(s) = -y(s) + 3*z(s). Let b be f(-1). Solve a - b*a - 1 = d for a. -1 Let b be 0/(-2 + (-4 - -7)). Solve -6*n + 4*n - 10 = b for n. -5 Let s(w) = w + 1. Let q be s(1). Solve 13*d + q*d = d for d. 0 Let a(x) = -x**2 - 10*x + 16. Let h be a(-11). Suppose h*z = 3*z + 8. Suppose -3*w = 2*w - 2*y - 13, 0 = -2*w - 2*y + 8. Solve g + z = w*g for g. 2 Let x be ((-9)/(-6))/(3/24). Suppose 2*c - x = -3*a, -4*a + 14 = 2*c - 4. Solve -a*w = -2*w + 20 for w. -5 Suppose 0 = -y + 17 - 5. Suppose 3*x = 6, -3*l = -0*x + 3*x + y. Let b = l - -8. Solve 2*m = -b + 12 for m. 5 Suppose 0 = -h - 12*h + 65. Let n(m) = 2*m - 3. Let v be n(3). Solve v*u + 2*u + h = 0 for u. -1 Let s be (-2 + (-7)/(-2))/(3/8). Let r = 14 - 11. Solve -r*l = l + s for l. -1 Suppose -2*i - 74 = 86. Let n = i + 85. Solve 0*m + m = -n for m. -5 Let c be (-48)/18*54/(-4). Suppose 20*a - c = 16*a. Let y be (0 - 1) + 2 + -1. Solve -2*x - x + a = y for x. 3 Let d be ((-35)/14)/(280/(-1008)). Let t(m) = -m**2 + 6*m - 3. Let f be t(3). Solve 3*b - f*b = -d for b. 3 Suppose -70*j + 20 = -66*j. Solve 11 = -j*o - 9 for o. -4 Let t be -17 - (-1 - -2) - 0. Let v be (t/30)/(6/(-5) - -1). Solve -4 = 2*q - v*q for q. 4 Let g = -213 - -219. Solve -g*h - 4 = -16 for h. 2 Suppose -3*a - 20 = -4*a. Let w(u) = u**2 - 3*u - 7. Let f be w(3). Let b = a + f. Solve -b = 5*l + 2 for l. -3 Let o(j) = 4*j - 78. Let u be o(20). Suppose 4*i - 9 = -y, 0 + 1 = i. Solve -u*r = y + 1 for r. -3 Let s(i) = -i**2 - 12*i + 4. Let w be s(-12). Solve -w*q - 25 = q for q. -5 Suppose -4*u - 10 - 30 = 0. Let h be (12/10)/(u/(-25)). Solve -h = -t - 8 for t. -5 Let q = 730 - 729. Solve -10*r - 29 = q for r. -3 Suppose -u = -l - 0*u + 1, 9 = l + u. Solve 4*m + 1 = l*m for m. 1 Let f = -3 - -7. Suppose 0*j + 4*u = f*j - 4, -3*u = -4*j + 5. Suppose -3*a + 5 = 2. Solve i + j = -a for i. -3 Let h(s) = 5*s + 0*s**2 + 8 + 2 + s**3 - 7*s**2 - 3. Let q be h(6). Let k be q + -4 + 6/2. Solve -8 = -2*f - k for f. 4 Let a(q) = 8*q**2 + 96*q + 4. Let m be a(-12). Solve -3*k + 7*k = m for k. 1 Let l(u) be the second derivative of u**4/12 + 2*u**3/3 - 4*u**2 - 8*u. Let v be l(-6). Solve 0 = -o - 3*o + v for o. 1 Let o be 54/99*(-44)/(-6). Solve o*s = 2*s for s. 0 Suppose 5*c - 68 = 32. Suppose -4*t + 12 = i + i, -15 = -2*i - t. Solve -4*l + c = i for l. 3 Let f = -10 + 6. Let v be (-6)/f*2 - 1. Suppose 4*b + j - 2*j = 8, 0 = -5*b - 3*j - 7. Solve -3 = -v*g - b for g. 1 Let l(f) = -f**2 + 6*f - 6. Let h be l(3). Suppose 0 = h*k - k - 12. Solve k = m - 3*m for m. -3 Let m be (-513)/(-45) + (-4)/10. Let v be (-9)/(-2) - (-7)/(-14). Suppose v*x - 15 = -3. Solve -4 - m = -x*o for o. 5 Let q(x) = -2*x - 14. Let b be q(-9). Suppose a = 4*z + 17, 3*a + 2*z - b = 5. Suppose -a = -4*l + 11. Solve -5*g + 24 - l = 0 for g. 4 Suppose -21*z + 30 = -16*z. Solve -7*y - z*y = 7*y for y. 0 Let n = 63 + -31. Suppose 0 = 2*y + n - 86. Solve -5*h = -2 + y for h. -5 Let u = -1055 - -1072. Solve 12*y - 5 = u*y for y. -1 Let z = 27 - 7. Let b = -9 + 12. Suppose 3 = r, -3*r = -4*j - 2*r - b. Solve j = -6*d + d + z for d. 4 Let c(w) = -w + 2*w + 2*w - w**3 + 3 - 3*w**2 + 0*w**3. Let s be c(-4). Solve -s*t + 2*t = 0 for t. 0 Let i be (-21)/(-5) - (-3)/(-15). Let j(z) = 8*z - 29. Let l be j(i). Solve 0 = l*n + 2*n + 25 for n. -5 Let q(w) = -2*w + 34. Let s be q(12). Suppose -7*b - 19 = -s*b - 2*d, 5*b = 5*d - 10. Solve 5*y - b*y + 10 = 0 for y. -5 Let t(m) = -m**3 + 13*m**2 - 3*m - 13. Let y be t(13). Let o = y - -53. Let h = 16 - 10. Solve -z - h + o = 0 for z. -5 Let a(c) = 32*c - 59. Let r be a(2). Solve r*g + 20 = -5 for g. -5 Suppose -58*m + 166 = -8. Let u = -3 + 5. Solve -m*b + 7 = -u for b. 3 Let c be (-9)/(-7) + 36/(-126). Suppose -3*o - 4*w = -8, 0 = -o - 5*w + c - 2. Solve 3*f + 8 + o = 0 for f. -4 Let f be (-2)/(-2)*(96/3 - 4). Let x = -24 + f. Let l = 24 - -1. Solve l = x*u + u for u. 5 Let k = 14 - 21. Let n be (-4 - k)/(3 + 0). Suppose -n = -o + 1. Solve -4*f - 8 = -o*f for f. -4 Suppose 8*t - 3*t = -90. Let i = -15 - t. Solve 0*k + i = -3*k for k. -1 Let t = 12 + -18. Let n be t/(-8) - (-34)/8. Let p be ((-2)/n)/((-2)/60). Solve 4*x - x - p = 0 for x. 4 Let a be 3 - 1 - 2*1/(-2). Suppose -7 = -p - a. Solve -4*y + 4 = -p for y. 2 Let q(g) = 0 + 2*g**2 - 33*g - 5 + 3*g - 18. Let f be q(16). Suppose 3*s - 7 = 5. Solve -s*x = 3 + f for x. -3 Let y(q) = q**3 - 10*q**2 - 15*q - 4. Let h be y(11). Let c = 52 + h. Solve 3*a = -a - c for a. -1 Let v = 81 - 207. Let k = v - -129. Solve k = -y + 1 for y. -2 Let k be (-1)/((8/(-4))/38). Suppose -k = -4*j - 3. Let a be (-8)/(-6)*54/j. Solve -3*b - a = -3 for b. -5 Suppose -5*z = 80*z - 340. Solve -16*i = -z*i - 12 for i. 1 Let f = -149 + 150. Let c(r) = r**2 - 5*r + 2. Let x be c(4). Let w = 6 + x. Solve n + f = w for n. 3 Suppose -23*j = -19*j. Suppose -4*z = -4*o + 4, -5*o + j*z + z = -13. Solve 3 = -2*p - o for p. -3 Let k = 15 + 0. Suppose 0 = -10*v + k*v. Solve o + v*o = -3 for o. -3 Let r(s) = 2*s**2 - 4*s - 6. Let p be r(5). Suppose 0 = -p*x + 25*x. Solve x = -4*a + a + 6 for a. 2 Let k(v) = -v - 15 - 7*v - 13 + 5*v. Let x be k(-11). Solve -3*j + x = -10 for j. 5 Let t(u) = -u**3 + u**2 + 3*u - 3. Let x be t(-2). Solve -x + 23 = -5*f for f. -4 Let h be (-1 + -1)/((-46)/345). Suppose -h*w = -14*w - 4. Let v = -11 + 15. Solve v = w*x - 0 for x. 1 Let a(t) = -7*t**3 + t**2 + t. Let o = -16 - -18. Let r be o/(-3) - 5/15. Let m be a(r). Solve 0 = 3*g - m - 2 for g. 3 Let i = 5 - 5. Suppose i = -x - 0*x. Let p be 5 + (-3 - (x + -2)). Solve p*q = -q for q. 0 Suppose 11 = u - 2*j + 7*j, 2*j = 4*u - 22. Let l = 16 - u. Solve 0 = 5*d - l - 5 for d. 3 Suppose 2*j - 11 = -3. Let q(z) = -4*z - 7. Let t = 68 - 71. Let c be q(t). Solve -c*m = 19 - j for m. -3 Let u = -16 + 36. Let w = u - 5. Solve 0*l = -5*l + w for l. 3 Let s(p) = 4*p - 20. Let v be s(9). Let o = -11 + v. Suppose y - o*q = -19, -2*y + 3 = q - 3. Solve -t = -y - 1 for t. 2 Let q = -127 + 90. Let r = -33 - q. Suppose -4*x + 3 = -3*x. Solve a - r = -x for a. 1 Let q(p) = -p**2 + 13*p - 30. Let f be q(7). Solve 0 = -7*n + n + f for n. 2 Suppose 2*y - 76 + 30 = -3*s, -5*y + 90 = -5*s. Suppose f - t + 5*t = y, 3*f + 3*t = 15. Solve f*i - 4*i - 8 = 0 for i. -2 Suppose -5*r + 16 = -9*r. Let i be (r/((-20)/9))/(27/90). Solve -2*s = 2 + i for s. -4 Let j be 0*(-3 - -4) - -2. Let t = 29 + -26. Let h be t/2 + 7/j. Solve h = 3*c - 4*c for c. -5 Let j(h) = -h**3 - 4*h**2 - 3*h - 1. Let y be j(-2). Let d be y/(-1) - (-2 - -1). Let n(f) = f**2 - 231*f + 908. Let m be n(4). Solve -d*q = -m*q for q. 0 Let j = 4 - 15. Let m be 2/j + (-79)/(-11). Suppose -m*x = -4*x - 12. Solve o = 9 - x for o. 5 Let u = -727 + 732. Solve 0 = u*w + 6 - 21 for w. 3 Let r be (4 - -2)*(-10 - -9). Let o be r/(-14) - 9/21. Solve o = -0*m - m - 2 for m. -2 Let x(p) = -p**2 - 9*p + 8. Let j be x(-9). Let q = j + -4. Suppose -5*i = 6 - 31. Solve i*u = -q - 1 for u. -1 Let r(n) = 1 + 2*n**2 + 2*n - 2 + 0 - n**3 - 3. Let b be r(2). Solve b = -a - 2 for a. -2 Suppose -5 = -4*g + 3*h +
{ "pile_set_name": "DM Mathematics" }
80*r**3 Let p(s) be the second derivative of -1223*s**5/20 + 439*s**3/6 + 1088*s - 1. Find the second derivative of p(k) wrt k. -7338*k Find the first derivative of -4086*z**2 - 14266 + 4086*z**2 - 247*z + 247*z + 7363*z**3 wrt z. 22089*z**2 Let c(s) be the second derivative of s**7/6 + s**6/15 - 39*s**5/5 + 7*s**3/3 - 20*s**2 - 21*s - 39. Find the second derivative of c(b) wrt b. 140*b**3 + 24*b**2 - 936*b Suppose 9 = -5*d + 4, 4*h = -5*d + 203. Find the second derivative of 60*z**4 + 125*z - h*z**4 + z**3 - 2*z**3 wrt z. 96*z**2 - 6*z What is the derivative of 6227*l**2 - 12445*l**2 + 6220*l**2 - 3681*l - 587*l + 7605 wrt l? 4*l - 4268 What is the second derivative of -75 - 85 - 82 + 3*m**5 + 77*m - 349*m**4 + 243 wrt m? 60*m**3 - 4188*m**2 Let d(a) be the first derivative of 73/6*a**6 + 0*a**4 + 0*a**2 + 7*a**3 - 4 + 0*a - 1/5*a**5. Find the third derivative of d(z) wrt z. 4380*z**2 - 24*z What is the third derivative of 871*l**3 - 1 + 119*l**2 - 674*l**2 + 1267*l**3 wrt l? 12828 Find the second derivative of 31*d - 1 - 726533*d**5 - 4 + 725597*d**5 wrt d. -18720*d**3 Let j(l) be the second derivative of -38*l**6/3 + 2283*l**2/2 + 250*l. What is the derivative of j(a) wrt a? -1520*a**3 Let a(l) be the third derivative of 1285*l**4/24 + 1613*l**3/3 + 2404*l**2. Differentiate a(h) with respect to h. 1285 Suppose 4*a + 6*y = 2*y - 232, -4*y = -3*a - 188. Let i = a + 63. What is the second derivative of -26*u - 2*u**2 + 2*u**2 - 36*u**3 + 21*u**i wrt u? -90*u Let g(l) be the third derivative of l**4/24 - l**3/6 + 39*l**2. Let s(w) = -18*w - 20. Let y(z) = 6*g(z) + 3*s(z). Find the first derivative of y(k) wrt k. -48 Let m(s) be the first derivative of -11*s**6/2 - 15*s**4/4 - 555*s**3 - 247. What is the third derivative of m(k) wrt k? -1980*k**2 - 90 Let p = -293 + 295. Find the third derivative of -7194 - 5*h**2 - p*h**2 + 7202 + 134*h**4 wrt h. 3216*h Let w(a) be the second derivative of -5/2*a**2 - a**3 + 1/2*a**4 + 0 + 28*a. What is the second derivative of w(i) wrt i? 12 What is the third derivative of 338*j**2 - 115 - 236*j**3 + 115 + 44*j**3 wrt j? -1152 Suppose 0 = 2373*t - 2372*t. Let b(k) be the second derivative of 0*k**4 + t*k**3 + 2/5*k**5 + 36*k + 0 + 29/2*k**2. What is the first derivative of b(u) wrt u? 24*u**2 Let q(t) be the first derivative of -677*t**4/2 + 2*t**3/3 + 4*t**2 - 18*t - 7667. Find the second derivative of q(k) wrt k. -8124*k + 4 Let s = 236 + -234. What is the derivative of -68 + 2*y**3 - y**2 - 2*y**3 + 0*y**s - 3*y**3 wrt y? -9*y**2 - 2*y Suppose 57 = 4*w + 1. What is the third derivative of 24*l**3 + 47*l**2 + 16*l**3 + w*l**3 wrt l? 324 Suppose -162 = -h - 157. What is the third derivative of -62*k**2 + 30*k**3 - 63*k**h + 62*k**5 - 23*k**2 wrt k? -60*k**2 + 180 Let m(a) be the second derivative of 7*a**5/20 - 41*a**4 + 1114*a**3/3 + 4534*a. Find the second derivative of m(x) wrt x. 42*x - 984 Let v(l) = -l**3 - 2*l**2 + 7*l. Let w(f) = -f**3 - f**2 - 14*f + 4183. Let x(c) = 2*v(c) + w(c). Differentiate x(o) wrt o. -9*o**2 - 10*o Let h = -51 + 77. Suppose -f - h = -32. Find the third derivative of -2*k**f + 21*k**2 + 6*k**6 + 180*k**4 - 180*k**4 wrt k. 480*k**3 Let q = -149 - -184. Let o = 1967 + -1003. What is the second derivative of 5*z**3 + o*z - q*z**3 - 989*z wrt z? -180*z Let q(r) be the second derivative of 133*r**5/20 - 2765*r**4/12 + 3*r + 374. Find the third derivative of q(s) wrt s. 798 Let i(q) be the first derivative of 267*q**4 - q**3/3 - 3589*q**2/2 + 4252. Find the second derivative of i(s) wrt s. 6408*s - 2 What is the second derivative of -2142*g + 554*g**4 - 1488*g**4 - 9239*g + 650*g - 821*g**4 wrt g? -21060*g**2 Let h(l) be the second derivative of -l**4/6 + 115*l**3/3 + 1481*l**2/2 - 489*l + 2. What is the first derivative of h(z) wrt z? -4*z + 230 Let d(k) = 35*k**3 - 3*k**2 - 2*k + 1723. Let j(h) = -35*h**3 + 5*h**2 + 3*h - 1723. Let f(w) = -3*d(w) - 2*j(w). Differentiate f(l) wrt l. -105*l**2 - 2*l What is the derivative of 2730 + 6228*r - 223*r**3 - 76*r**3 + 43*r**3 - 132*r**3 - 6231*r wrt r? -1164*r**2 - 3 Let h(g) be the first derivative of 11*g**3 + 9*g**2 - 900*g - 7. Find the first derivative of h(s) wrt s. 66*s + 18 Let h = -13401 - -13401. Let y(u) be the second derivative of 26*u + 0*u**4 - 7/2*u**2 + 0*u**5 - 1/3*u**6 + h*u**3 + 0. Differentiate y(v) with respect to v. -40*v**3 Find the first derivative of -3918 - 2572 + 1657 + 14175*k + 790 - 4219 wrt k. 14175 Find the second derivative of -14*u**2 + 620*u - 13*u**2 + 26*u**2 + 440*u - 2577*u**4 wrt u. -30924*u**2 - 2 Suppose a - 4 = -5*q + 18, 4*q = 16. What is the second derivative of -2 - 4547*k**2 + 0 + 2*k**4 + 4547*k**a - 14*k + 42*k**3 wrt k? 24*k**2 + 252*k Suppose -39 = -2*l - 11*l. What is the first derivative of -1048*i**3 + 5*i**2 + i + 1090*i**l - 5*i**2 - 50 wrt i? 126*i**2 + 1 Let i(q) = 7*q**2. Let a be i(1). Suppose a*j = -0*j + 21. Find the second derivative of 7*l**j + 404*l**2 - 404*l**2 + 9*l wrt l. 42*l Find the second derivative of 70*d - 49*d**5 - 3444*d**5 - 460*d**5 - 1345*d**5 - 17 wrt d. -105960*d**3 What is the first derivative of -j**2 + 8*j**4 - 36*j**4 + 110*j + j**2 + 7744 + 3436 wrt j? -112*j**3 + 110 Let p(v) be the third derivative of 1033*v**4/6 + 3875*v**3/3 - 993*v**2 + 2. What is the derivative of p(i) wrt i? 4132 Let k(p) be the first derivative of 31*p**4/4 - 65*p**3/6 - 95*p**2/2 + 119. Let z(f) be the second derivative of k(f). Find the first derivative of z(a) wrt a. 186 Let c(f) = 11*f**2 + 5*f + 6. Let y be c(5). Suppose -8*b - b + y = 0. Differentiate -b + 68*s + 60*s - 10*s**4 - 128*s wrt s. -40*s**3 Let o(b) be the first derivative of 0*b**4 + 56 + 0*b + 3/2*b**2 + 93/5*b**5 - 28/3*b**3. What is the third derivative of o(h) wrt h? 2232*h Let v = -2 + 6. Let p be (v - (-136)/(-12))*(-3)/2. What is the first derivative of 7 - 9*l + 5*l - p*l + 9 wrt l? -15 Let q(n) = -6520*n**3 + 2*n**2 - 4379. Let a(h) = 8. Let v(d) = -2*a(d) - q(d). What is the first derivative of v(x) wrt x? 19560*x**2 - 4*x What is the second derivative of 641*w**2 - 2599*w - 284*w**2 + 14299*w**2 wrt w? 29312 Let a(j) = -3*j**3 + 15 + 4*j**3 - 2*j**3 - 2*j**2 + 2*j - 6. Let z be a(-3). Differentiate 4 - z*x**3 + 3 + 10 wrt x. -36*x**2 Let l(s) = -s**3 + s - 1. Let y(x) = 3700*x**4 - 14*x**3 + 5498*x**2 + 14*x - 14. Let h(a) = 14*l(a) - y(a). Find the third derivative of h(c) wrt c. -88800*c Let s be (8 - 129/15)*5/(-1). Find the third derivative of 963*k**2 + 20*k**s - 965*k**2 - 242*k**3 - 6 wrt k. -1332 Let j = -76679/4 + 19170. Let a(v) be the first derivative of v**2 - 43 - j*v**4 + 2/3*v**3 + 0*v. Find the third derivative of a(z) wrt z. -6 Let i(m) be the first derivative of -634*m**7/7 - 2689*m**3/3 - 2602. What is the third derivative of i(f) wrt f? -76080*f**3 Let q(k) = k**2 + 7*k + 10. Let r(w) = -2*w + 24. Let l be r(15). Let b be q(l). What is the third derivative of 46*p**4 - 46*p**b + 4*p**5 - 11*p**2 wrt p? 240*p**2 Let f(q) be the third derivative of 29/120*q**6 - 4*q - 55/3*q**3 + 0*q**5 + 0*q**4 + 11*q**2 + 0. What is the derivative of f(s) wrt s? 87*s**2 Let d(s) = 330*s**3 - 28*s**2 + 7*s + 1229. Let f(l) = l**3 - 4*l**2 + l - 2. Let h(o) = d(o) - 7*f(o). Differentiate h(k) with respect to k. 969*k**2 Let p be 382/10*49/294 - 12/(-90). Let z(a) be the first derivative of 0*a + 14/3*a**3 - p*a**2 - 25. What is the second derivative of z(h) wrt h? 28 Let h be (-8)/48 - (-1303)/6. Differentiate -78*k + 110 + 111 - h wrt k. -78 Let o(m) be the third derivative of -275*m**9/84 - 1211*m**5/30 - 15*m**2 - 11. What is the third derivative of o(d) wrt d? -198000*d**3 Let x(u) be the third derivative of -673*u**5/12 - 29*u**4/4 + u**3/2 - 87*u**2 - u + 13. Find the second derivative of x(h) wrt h. -6730 Let k(u) = 11*u + 277. Let z be k(-21). Find the third derivative of 75*y**2 - 51*y**4 - y**3 + 32*y**4 + y**3 - z*y**4 + 2*y**5 wrt y. 120*y**2 - 1560*y Let z(u) = u**3 - 5*u**2 - 9*u + 7. Let d be z(6). Let v = d + 20. What is the first derivative of -6 - 5*t**2 - 4 - v*t**2 - 4 wrt t? -28*t Let i be 15*(-8)/(-20) + -3. What is the derivative of 0*a**3 + 6 + 0*a**3 + 1 + a**i - 91*a**2 wrt a? 3*a**2 - 182*a What is the derivative of 581 - 127*q**4 + 4*q**4 - 1936 - 65*q**4 wrt q? -752*
{ "pile_set_name": "DM Mathematics" }
t k = 9 - 7.6. What is k rounded to the nearest integer? 1 Suppose 3*f = 9, 0 = 2*l - 3*f + 5 - 2. Suppose 5*a = -l + 33. Suppose -99000 = a*v - 3*v. Round v to the nearest 10000. -30000 Let x be -7 + -6*3/6. Let i be (-2549991)/(-15) - 6/x. Suppose 0 = 4*y + 2*m - 7*m - 340000, 2*y - 2*m = i. Round y to the nearest ten thousand. 90000 Let p = 0.60037 - 0.6. Round p to 4 decimal places. 0.0004 Let f = 127.99999232 + -128. Round f to 6 dps. -0.000008 Let s = -66.2336 - -65.353522. Let z = 0.88 + s. What is z rounded to 5 decimal places? -0.00008 Let f = -2.513 - 0.488. Let l = -0.019 + 3.019. Let v = l + f. What is v rounded to 3 dps? -0.001 Let p = -72.196 - -72. Let c = p - -0.19439. What is c rounded to four decimal places? -0.0016 Let v = 197 + -209.35. Let r = v - -12. Let q = r + 0.34915. What is q rounded to four dps? -0.0009 Let f = 50.6633 - 0.0633. What is f rounded to the nearest 10? 50 Let m = -3040276601544 + 3040275889360.9299934. Let q = 712183 + m. Let w = q - -0.07. Round w to 6 decimal places. -0.000007 Let t = 0.08 - 0.079939. What is t rounded to 5 decimal places? 0.00006 Let n = -3 + -6. Let j = 4 + n. Let f = 5.0000004 + j. What is f rounded to 7 decimal places? 0.0000004 Let n be (-1668)/(-1)*10/(-10). Let i = n + -332. Round i to the nearest 1000. -2000 Let w = -26.199 + -0.001. What is w rounded to the nearest integer? -26 Let n = 181.0000422 + -181. Round n to 6 dps. 0.000042 Let n = 84.91 + -89. Let a = n + 0.09. Let z = 4.0000004 + a. What is z rounded to 6 dps? 0 Let z = -63.1 + 66. Let t = 234.94 + -232.040065. Let p = t - z. What is p rounded to five dps? -0.00007 Let a = -22328 - -36228. Round a to the nearest 1000. 14000 Suppose 0 = 2*y + 4*w + 36 + 522, 4*y + 1130 = -w. What is y rounded to the nearest 10? -280 Let n be 524999986/21 - (-2)/3. Round n to the nearest one million. 25000000 Let i = -1936102.999932 - -1936109. Let o = i - 6. What is o rounded to 5 dps? 0.00007 Let s be ((-1344)/63)/(2/(-1068750)). Round s to the nearest 1000000. 11000000 Suppose 5*p - 123494 = 2*o, -3*o - 21854 = -4*p + 76937. What is p rounded to the nearest one thousand? 25000 Let c = 3188 + -5066. Let t = c + 1878.080048. Let p = -0.08 + t. What is p rounded to 5 dps? 0.00005 Let p = -14 - -14.00000195. What is p rounded to 7 decimal places? 0.000002 Let y = 80 - 176. Let g = -96.00000043 - y. What is g rounded to 7 decimal places? -0.0000004 Let y = -81 + 76.9. What is y rounded to the nearest integer? -4 Let l = -92.00000125 + 92. What is l rounded to 7 decimal places? -0.0000013 Let l = -0.0365838 - 0.7634682. Let q = 0.8 + l. What is q rounded to five decimal places? -0.00005 Let t = 3 + -3.08. Let f = 0.24 - t. Let s = f + -1.36. Round s to 1 decimal place. -1 Let u = 23.00000076 + -23. Round u to 7 dps. 0.0000008 Suppose -5*q - 4749 = 7751. Round q to the nearest one thousand. -3000 Suppose 0*f - 8*f + 4560000 = 0. What is f rounded to the nearest 100000? 600000 Let j be ((-12)/(-9))/(2/3). Suppose -3*z - n = -600005, 6*z - j*z - 800005 = -n. Round z to the nearest one million. 0 Let r = 32.7 - 4.7. Let m = -673477562 - -673477589.99999896. Let t = m - r. Round t to seven decimal places. -0.000001 Let u(o) = o**3 - 8*o**2 + 7*o + 3. Let r be u(7). Suppose -5*c - 42015 = r*y, 5*y = 4*c - 31298 - 38690. What is y rounded to the nearest one thousand? -14000 Let w = 5 - 12. Let y = 6.99999955 + w. Round y to 7 dps. -0.0000005 Suppose -5*o + 2*o = -88200006. Suppose -o = -2*k - k + 2*c, 0 = k - c - 9800001. What is k rounded to the nearest 1000000? 10000000 Let j = -44.5424532 + 26.7484083. Let o = -1.2058931 + j. Let m = o + 19. What is m rounded to five decimal places? 0.00006 Suppose -57 = -2*v + 5*v - 2*o, 3 = -o. Let k be (-4)/(-14) - (-294006)/v. Round k to the nearest 10000. -10000 Let i(g) = -g**3 + 10*g**2 - 8*g + 4. Let l(c) = -c**2 - 14*c - 6. Let p be l(-9). Suppose -p = -5*s - 4. Let q be i(s). What is q rounded to the nearest 10? 100 Let i = -0.1515 - -0.102. Round i to 2 dps. -0.05 Let r(a) = 0*a + 8 + 5*a - 10*a + 2556*a**2 + 9*a. Let s be r(-3). What is s rounded to the nearest ten thousand? 20000 Let d = 0.58977 - 0.59. What is d rounded to 4 dps? -0.0002 Let g = 7 - 7.00000104. Round g to seven decimal places. -0.000001 Let n be 2/(-5) - 18/5. Let v be (33750/n)/((-1)/(-96)). Round v to the nearest 100000. -800000 Let l be (2 - 1)*(1 - -20919256). Let t = -1588106 - -3907363. Suppose -2*g + l - t = 0. Round g to the nearest one million. 9000000 Suppose 3*i = 5*t - 143488, -4*i = -2*t - 3*i + 57396. Round t to the nearest 1000. 29000 Let y = 0.09 - 0.12. Let l = 2.17 - y. Round l to zero dps. 2 Let a = 56.41 + 0.59. Let u = a - 21. Let b = -36.0054 + u. Round b to three dps. -0.005 Let y = 145 - 99. Let s = 46.00073 - y. What is s rounded to four decimal places? 0.0007 Suppose x + 4449 = 135145. Let z = 21696 - x. What is z rounded to the nearest ten thousand? -110000 Let s(k) = -67*k - 4. Let c be s(-2). Round c to the nearest 100. 100 Let d = 26.22 - 22.227. Let y = d - 4. Round y to two decimal places. -0.01 Let s = -30612823422.9099964 + 30612402516. Let c = s - -420907. Let o = 0.09 - c. Round o to six decimal places. -0.000004 Suppose -4*n - 41 = -221. Let f be 10/n + (-32400002)/9. What is f rounded to the nearest one million? -4000000 Let x(f) = 11*f**2 + 9*f - 12. Let l(p) = 2*p - 5. Let t be l(7). Let b be x(t). Round b to the nearest 100. 1000 Let l = 20.00000009 - 20. Round l to 7 decimal places. 0.0000001 Let f = -57323955.5 + 57324005.5000062. Let t = 50 - f. Round t to 6 dps. -0.000006 Let c = -1.00000022 - -1. Round c to seven dps. -0.0000002 Let i = -165.1 - -166.107. Let v = i + -1. What is v rounded to 2 decimal places? 0.01 Let s = -1.71 + -0.49. What is s rounded to 0 dps? -2 Let s = -1490 + 1326.8. Let w = s + 155.77. Let c = w - 0.07. Round c to the nearest integer. -8 Let r = 113.58 - 103.6. Let l = -20 + 19.92. Let h = r + l. What is h rounded to zero dps? 10 Let a = 13 + -13.48. Let y = a + -4.22. Let l = 4.70037 + y. What is l rounded to 4 decimal places? 0.0004 Let d = 21.06 + -21. What is d rounded to two dps? 0.06 Let l = 11484 - 11603.138. Let x = 116.45 - -2.55. Let b = x + l. What is b rounded to 2 decimal places? -0.14 Suppose -g = -5*g - 228. What is g rounded to the nearest 10? -60 Let p = -1640.106 - -1646. Let x = p + 0.006. Let z = -6 + x. Round z to zero decimal places. 0 Let o be (-2484860)/18 + (-4)/18. Let z be (-2)/5 + o/(-20). Let j = z - 4602. Round j to the nearest one thousand. 2000 Let b = 57.1 + -52. Let r = b - 5. Let t = -0.09999999 + r. Round t to 7 decimal places. 0 Let j = 5444.9380023 - 5444.96. Let q = -0.022 - j. What is q rounded to six dps? -0.000002 Let a = -185 + 259. Let t = a + -74.0041. Round t to 3 decimal places. -0.004 Let v = -258970234.33275122998 + 1410.33274542998. Let h = -258968757 - v. Let u = -67 + h. What is u rounded to 6 decimal places? 0.000006 Let t = 80 + -79.943. Round t to 2 decimal places. 0.06 Let a = -1910.07016 + 1910. Let x = 0.07 + a. Round x to four decimal places. -0.0002 Let c = -0.54892 - -0.55. What is c rounded to four decimal places? 0.0011 Let j = 0 + 3. Let g = -2 + j. Let m(w) = 18001*w**2 - w. Let x be m(g). Round x to the nearest ten thousand. 20000 Let f = 127427.9908 + -127378. Let d = -50 + f. Round d to three dps. -0.009 Let j = -23.4 - -23.593. What is j rounded to two dps? 0.19 Let o = -4 - -7. Let j be 144*(o - -3571*7). Round j to the nearest 1000000. 4000000 Let g = -9 - -15. Let a = g - 2.5. What is a rounded to the nearest integer? 4 Let l = 4.7 - 4. Let p = 0.79 - l. Let z = p - 0.089994. What is z rounded to 5 decimal places? 0.00001 Let w = -333 + 93. What is w rounded to the nearest one hundred? -200 Let s = -110493 + 110445.019. Let n = -144 - -96. Let h = s - n. What is h rounded to two dps? 0.02 Suppose 0 = 5*d - 42021138 + 4993118. Let n = 4089039 - 8094643. Let g = d + n. Round g to the nearest one million. 3000000 Suppose -4*w = -q - 84, 3*w + 0*w = 2*q + 68. Suppose -5*t - w = 5*p, -p = 3 - 1. Let l be (t - -2) + 1 - -5. What is l rounded to 0 decimal places? 6 Let q = -5 + -227. Let u = -232.00000123 - q. What is u rounded to seven dps? -0.0000012 Let s = -0.26 + -13.74. Let p = 3.21
{ "pile_set_name": "DM Mathematics" }
**(2/15) Simplify (h**(1/9)*h/(h*h/h**2))**(-19/3)*((h/h**(-1/5))/h*h**(-5))/(h**1*h*h/h**(2/9)) assuming h is positive. h**(-1973/135) Simplify ((h**1*h)**(-5/11))**(-2)*h/(h/h**(-5/4))*h*h**(2/5)*(h**(-7)*h*h)/(h**(-7)/h) assuming h is positive. h**(1093/220) Simplify ((x**(-17)*x/x**(1/14)*x)/((x/(x*x**(-7/2)))/(x/(((x*x/(x*x**(-3/2)))/x*x)/x*x))))**(-21) assuming x is positive. x**(843/2) Simplify w**0*w*w**(2/11)*(w/w**0)**(29/5)*((w**(-1)/w)/w**(3/2))**(-16) assuming w is positive. w**(3464/55) Simplify s/(s*s/((s**(11/3)*s)/s))*s/((s*s**37/s)/s)*(s**(-1/6)/s)**(-2/25) assuming s is positive. s**(-806/25) Simplify (((v**(-20)*v*v*v)/v)/v*v)/(v**(-7/6)/v)*(v*v**33)**(1/4) assuming v is positive. v**(-22/3) Simplify ((i**(-2/3))**(1/7)*((i**6*i*i)/i*i)/(i/i**2))/((i**3/i)/(i**(2/7)*i))**25 assuming i is positive. i**(-188/21) Simplify ((j/(j*(j/(j**(-2)/j))/j*j*j*j))/j*j**(-2)/j*j*(j/j**1)**41)/((j**(-1)*j*j/(j/j**(-1/4))*j*j*j)/(j/(j*j*j**1*j))**(2/7)) assuming j is positive. j**(-353/28) Simplify ((((q**(-14)*q*q)/(q**2/q))/(q/(q/(q**(-1/24)*q))*q/(((q*q*q/(q**(2/9)*q)*q)/q)/q*q*q)))**34)**44 assuming q is positive. q**(-163999/9) Simplify (t**0)**34*t**(2/7)/t*t/(t**(-2/9)*t*t)*t*((t**0*t)/t)**(2/7)/(((t**5*t)/t)/(t/t**0)) assuming t is positive. t**(-283/63) Simplify (z/z**(-1))**(2/37)/(z/(z/(z/(z/(z/(z*z/z**1)*z)*z*z)))*z**3)*((z**2)**(-43))**(-2/47) assuming z is positive. z**(3074/1739) Simplify (((w*w**4/w*w)/w*w**(-1)*(w*w**(-2/7))**10)**(-39))**(9/8) assuming w is positive. w**(-24921/56) Simplify ((v*(v**(-1/3)*v)/v)**44/(v**1)**(-33))/(v**6/v**(-5)*v/v**(-6)*v**(-2)) assuming v is positive. v**(139/3) Simplify ((j**(-1))**(-1/5)*(j**(1/2))**(-1/3))/(j**(-1/8)*j**(7/4))**(-11/3) assuming j is positive. j**(719/120) Simplify ((r**(2/7))**(-17)*r**1/((r**(-4)*r)/r))/((((r/(r/((r*r**5*r)/r*r*r*r)))/r)/((r/r**(5/4))/r))/(r/(r*r**(-1)/r*r))**(-1/21)) assuming r is positive. r**(-769/84) Simplify ((a/(a/(a*a**(3/8))))/(a**6/a))**(-34)*(a**(-6)*a**(-2/7))/((a**(2/11)*a*a)/a**1) assuming a is positive. a**(35661/308) Simplify ((a/((a/(a/(a*a/a**(10/7))))/a)*a/a**3)/(a/(a*(a/((a/a**(-1/4))/a))/a))**(-2/15))**(5/9) assuming a is positive. a**(-113/378) Simplify ((l*l/(l*l/l**(-1/5)))**(2/187))**(-36)*l/(l/(l**0/l))*l*(l*l*l/l**6)/l*l/l**(-3)*(l**(-3/8)*l)/l assuming l is positive. l**(-2229/7480) Simplify j**(2/13)/(j*j/((j/(j*j/j**15))/j)*j*j)*j**6*j*j/(j*j**(-14/5))*j assuming j is positive. j**(1297/65) Simplify ((z**(-1/4))**(-2/11)*(z/z**(2/3))**(3/10))/(((z*z**0)/z)**(-2/33)/((z*z**(-1/3))/z**1)) assuming z is positive. z**(-31/165) Simplify ((i/(i*i**(-1)/i))/i*i)**41/(i*i*i**(-1))**9*i**6*i/i**(-3/2)*i**5*i**(-7/2) assuming i is positive. i**83 Simplify ((((u*u*u**(-14/5)/u*u)/u)/u)/u**(-5/2)*u*u/(u/u**(-21/2))*u**(-33))**28 assuming u is positive. u**(-5992/5) Simplify (((g*g/(g/(g/(g**5/g)))*g)/g)/(g/((g*g**(-1/2)/g*g)/g)))/(g/(g*g**(-1/2))*g**1*g)*(g*g/(g**(-3/2)/g)*g/(g**4/g))**(-1/11) assuming g is positive. g**(-137/22) Simplify (g*(g/((g/((g/g**5)/g*g))/g)*g)/g)/(g*(g*g**0*g)/g)*(g**(2/3))**47*g*g**(-5)/g*(g**(-5/2)/g)/g*(g*g**(1/3))/(g*g**(-1/4)) assuming g is positive. g**(221/12) Simplify (y**(-7)/y*y/(y*y**(-1/5))*((y/(y*(y/(y*y*y*y**(-1)/y*y*y))/y*y))/y)**11)/((y**1)**(-4/5)/(y**(-1/2)/y)**11) assuming y is positive. y**(-25/2) Simplify ((t**1)**3)**(-47)*t**(1/7)/(t*t**(-3/2)*t)*t*t*t*t*t/((t/t**(-9))/t)*t*t*t**(5/4) assuming t is positive. t**(-3979/28) Simplify (u**(-1/2)*u/u**1*(u/u**(-4))/(u*u**0/u))/((u/u**1)**(-1/9))**(-1/26) assuming u is positive. u**(9/2) Simplify s*s/(s**(-7)/s)*s**(-3)*s**(1/3)*s*s**(-7)*s*(s/(s*s*s*s**2*s)*s)**(9/13)/(s**(-1/3)*s*s*(s**1/s)/s*s) assuming s is positive. s**(-82/39) Simplify (c**(-3/4)*c/(c**25*c)*c*c*c*c/((c*c*c/(c/c**17)*c)/c)*c*c**(-11))**(-50) assuming c is positive. c**(5075/2) Simplify (((s*s**9*s)/s)/(s**(2/33)/s))/(s**(-3/5)/s*s/(s/((s**(3/23)/s)/s)*s*s)) assuming s is positive. s**(62272/3795) Simplify ((w**(-1)*w*w/(w**15*w))/(w/(w**(4/7)*w*w))**(-1/45))**(-5/11) assuming w is positive. w**(4736/693) Simplify ((z/z**(-3/2)*z*z)**(-1/14))**(-1/36)*((z/(z*(z**(2/9)*z)/z*z))**(19/3))**(-2/65) assuming z is positive. z**(48571/196560) Simplify ((((l**0*l)/l)**(-2/13)*l/(l/(l*l*l**(-5)))*l*l**(4/5)*l)**32)**18 assuming l is positive. l**(-576/5) Simplify (((p*p**(-3))/p)**(-19)*p*((p/(p/(p/p**(5/4))))/p)/p*p/(p*p**(-6/7)))**27 assuming p is positive. p**(42795/28) Simplify (((n*n*n**(-8)/n*n*n)/n*n)/n*n**(-6/11)*n)**38*(n/(n/(n*n/(n*(n/(n/(n*n*(n**(-7)/n)/n*n)*n))/n)))*n**(-7))**(3/11) assuming n is positive. n**(-2312/11) Simplify ((((d**(1/2)/d)/d*d)/d*d)/((d/d**6*d*d)/d))**(1/26)/((d/(d*(d/d**1)/d*d))**(-2/29))**(13/5) assuming d is positive. d**(7/52) Simplify (i**(2/3)/i*i**(-5))**(4/7)*i**(3/4)*i*((i*i**(-3))/i)/i*i/i**(1/3)*i**(2/15) assuming i is positive. i**(-1889/420) Simplify (k**(2/15)/k**(-2))**(-23)*(k**(-1))**(13/3)/(k**(2/7))**(-2/23) assuming k is positive. k**(-42967/805) Simplify ((n**(2/5)/n)**39)**(-12)/((((n/(n*n**(-8)))/n)/n*n)/(n/(((n*n**(-1/15))/n)/n))*(n/((n/n**(8/7))/n))/(n*n**(3/4)*n)) assuming n is positive. n**(116119/420) Simplify (((s*s**(17/5))/(s*s/s**(2/27)))/(((s*s*s*s*s**3)/s)/s*s**33/s*s))**(2/43) assuming s is positive. s**(-9592/5805) Simplify (i**(-1/13)*i*i**(-18)*i*i/i**(-22)*i**18)**(-46) assuming i is positive. i**(-14904/13) Simplify ((i/(i**(-5)/i*i))/(i/i**(-2/19))*((i*(i/i**(-1))/i)/i)**(3/13))/((i/i**0*i*i)**(-20/3))**(-2/9) assuming i is positive. i**(1514/2223) Simplify ((j**(2/11))**(-37))**(-24)/((j/j**(-10))/j*j**(-4/7))**(-18) assuming j is positive. j**(25500/77) Simplify ((t*t**(2/3)*t)**(-45))**(-41)*(t/(t*t**(1/3))*t*t**(-2/5))/((t/(t/(t/(t/(t*t*t**(-3/10)*t))))*t*t)/t**(-7/4)) assuming t is positive. t**(294829/60) Simplify ((f/(f/f**10*f))/(f**21*f)*(f*f/f**(-1/13)*f*f)/(f*f**(-17)))**(10/7) assuming f is positive. f**(920/91) Simplify ((n**1)**(-13/3)*n**2/(n*n**(3/5)))/((n**0)**(-27/2)*n*(n*n**(1/9)*n*n)/n*n**(2/7)) assuming n is positive. n**(-2309/315) Simplify (j**(-3)/j**2)**10*(j**4*j*j**0/j*j)**(-25) assuming j is positive. j**(-175) Simplify (c**(-2/5))**(-40)*((c/(c**18*c))/c)**(-28) assuming c is positive. c**548 Simplify (b*b*b*b*b*b/(b/b**(-1/5))*b**14*b)**(-3/11)*((b**(-2/19)/b)**35)**(1/10) assuming b is positive. b**(-1761/190) Simplify (z**(-1)/(z/z**(3/2))*(z**(-2/7)*z)**(2/9))/(((z**(1/3)/z)/z)**(-12)*(z**(-1)/z*z)**(-9)) assuming z is positive. z**(-3697/126) Simplify (k**19*k**(-2/17))/((k/k**(15/7)*k)/k*k/(k/(k*k**(-30)))) assuming k is positive. k**(5834/119) Simplify p**(4/3)*p*p*p**(-1/8)*p*(p/p**(-1)*p)**48*((p*p/p**(-1))**(-2/173))**49 assuming p is positive. p**(608305/4152) Simplify (((n/(n**22*n*n))/n**(-1/2))/((n**(4/13)/n*n)/(n**(1/19)*n)))**(3/13) assuming n is positive. n**(-32241/6422) Simplify (h/(h/(h**38/h)))**(-2/15)/(h/(h*h**(6/11)))**12 assuming h is positive. h**(266/165) Simplify (q**(3/7)/q**(3/8))/(q**(-7)*q**0)*(((q*(q/(((q/(q*q*q/(q/(q/q**(-2/3)))))/q)/q))/q)/q)**(-45))**29 assuming q is positive. q**(-340645/56) Simplify (((p**(4/9))**(-5/4))**(27/2))**(-46) assuming p is positive. p**345 Simplify d**(1/5)*d**1*(d/d**(-7/6))**(1/12) assuming d is positive. d**(497/360) Simplify (((r**(-29))**(38/3))**(-45))**7 assuming r is positive. r**115710 Simplify (((z*z**5/z)/z*z)/z*z**(-1/4)/z)**41*(z/(z*z**(-5)))/(z**(6/11)*z*z)*(z/z**0)**(-22) assuming z is positive. z**(4101/44) Simplify s**(-3/8)*s/(s*s**11*s*s)*s**(2/27)/(s*(s*(s**(6/13)*s)/s*s)/s) assuming s is positive. s**(-44261/2808) Simplify (d*d/d**(3/8))/d*d*d*d**0*d*d**(-2/9)*d**(2/5)*d*(d/d**(-2/5))**(-3/10)/(d**(1/4))**(14/3) assuming d is positive. d**(5789/1800) Simplify (k**(-2/41))**(-21)*(k/(((k**(-3/11)*k)/k)/k)*k)/k**(-17) assuming k is positive. k**(9605/451) Simplify (l**11/l**3)**(-49)/((l**(-2))**(-26)*(l/l**(-1/9)*l*l)/l*l*l*l**(-3)) assuming l is positive. l**(-4006/9) Simplify ((p**(4/21)/p*p*p)**(1/13)/(((p/(p/(p*p**(-11))*p))/p)/p)**(2/9))**(-46) assuming p is positive. p**(-112286/819) Simplify (v**7/(v**(4/15)/v)*(v/(v*v*v/v**11))/v**(-9/5))**(-1/3) assuming v is positive. v**(-278/45) Simplify j*j**(-2)*j/(j*j/(j**(3/10)/j)*j)*j*j/(j*j**4)*j*((j/(j*j/(j**(-6/5)*j)))/j)/j*j*(j**(-6
{ "pile_set_name": "DM Mathematics" }
is the next term in -9894, -39552, -89074, -158532, -247998, -357544, -487242, -637164? -807382 What is the next term in -29896, -119047, -267634, -475657, -743116, -1070011, -1456342? -1902109 What comes next: -1080302, -1080291, -1080278, -1080263, -1080246, -1080227, -1080206? -1080183 What comes next: 50333, 100711, 151073, 201413, 251725? 302003 What comes next: 63715, 130505, 197295, 264085? 330875 What is next in 51707, 61000, 70293, 79586, 88879, 98172? 107465 What is the next term in 122123, 243783, 365437, 487079, 608703, 730303, 851873? 973407 What comes next: 144886, 289918, 434944, 579964, 724978? 869986 What is the next term in 100, 54, -16, -110, -228? -370 What is the next term in 58645579, 117291145, 175936709, 234582271, 293227831? 351873389 What is next in -2660, -21733, -73540, -174449, -340828, -589045? -935468 What comes next: -301, -1646, -5243, -12202, -23633, -40646, -64351, -95858? -136277 What is next in -341388, -682769, -1024148, -1365525, -1706900, -2048273? -2389644 What is the next term in -49678, -99180, -148678, -198172, -247662? -297148 What is the next term in -1581, -12806, -31521, -57732, -91445? -132666 What is next in -112, 188, 436, 632, 776, 868, 908? 896 What comes next: 12496854, 12496856, 12496858, 12496860, 12496862? 12496864 What is the next term in 50687, 101396, 152115, 202850, 253607, 304392? 355211 What comes next: -539343, -539372, -539401, -539430? -539459 What comes next: -2356, -8252, -18080, -31840, -49532, -71156, -96712? -126200 What is next in 1121118, 1121086, 1121072, 1121082, 1121122? 1121198 What comes next: -157257971, -314515937, -471773893, -629031833, -786289751? -943547641 What is the next term in -5452463, -10904898, -16357333, -21809768? -27262203 What comes next: -102465469, -102465468, -102465467, -102465466, -102465465, -102465464? -102465463 What is next in 200503, 401047, 601591, 802135, 1002679? 1203223 What is the next term in -906, -3851, -9320, -17769, -29654, -45431, -65556? -90485 What comes next: 18951511, 18951503, 18951489, 18951469, 18951443, 18951411, 18951373? 18951329 What is next in 746022, 744925, 743842, 742779, 741742, 740737? 739770 What is next in -73550, -147107, -220662, -294215? -367766 What comes next: 1050, 2405, 3898, 5529, 7298, 9205, 11250? 13433 What is the next term in -411745, -411686, -411623, -411556, -411485? -411410 What comes next: 2020, 3542, 6080, 9634, 14204, 19790? 26392 What is the next term in 30423, 243859, 823185, 1951347, 3811291, 6585963, 10458309? 15611275 What is next in 1074759, 4299006, 9672751, 17195994, 26868735? 38690974 What is the next term in -7330, -14873, -22648, -30667, -38942, -47485, -56308, -65423? -74842 What comes next: -3354, 156, 9678, 28218, 58782, 104376, 168006, 252678? 361398 What comes next: -2925273, -2925274, -2925275, -2925276? -2925277 What is next in 298, 587, 1132, 2035, 3398, 5323? 7912 What is next in 7684, 7786, 7888, 7990? 8092 What comes next: 220, 169, 102, 37, -8, -15? 34 What is the next term in -9916, -8735, -7554? -6373 What is next in -381734, -381668, -381602, -381536? -381470 What is the next term in -149856, -299782, -449708, -599634? -749560 What is the next term in 375, -45, -461, -885, -1329, -1805, -2325, -2901? -3545 What is the next term in 14512, 29007, 43528, 58087, 72696, 87367, 102112, 116943? 131872 What comes next: 589542, 589501, 589460, 589419, 589378? 589337 What is the next term in -331, -895, -1877, -3271, -5071, -7271? -9865 What is next in -2285781, -4571560, -6857339, -9143118, -11428897, -13714676? -16000455 What comes next: -1845, -14920, -50503, -119880, -234337, -405160, -643635, -961048? -1368685 What is next in 237686, 238151, 238614, 239075, 239534, 239991, 240446? 240899 What comes next: -20766, -164121, -553234, -1310985, -2560254, -4423921? -7024866 What is next in -716, -568, -158, 646, 1976, 3964, 6742, 10442? 15196 What is next in -1620844, -1620929, -1621014, -1621099? -1621184 What is the next term in -28500344, -57000689, -85501034, -114001379, -142501724, -171002069? -199502414 What is the next term in -7598670, -7598668, -7598664, -7598658? -7598650 What is the next term in -199258, -201162, -203066, -204970, -206874, -208778? -210682 What comes next: -15582, -62354, -140312, -249456, -389786, -561302? -764004 What comes next: 1956, 3732, 5322, 6726, 7944, 8976, 9822? 10482 What is next in -179798, -179792, -179790, -179792, -179798, -179808? -179822 What is the next term in -356374, -1425497, -3207372, -5701999, -8909378? -12829509 What comes next: 7103, 7179, 7281, 7403, 7539, 7683, 7829, 7971? 8103 What is the next term in 975, 1167, 1323, 1443, 1527, 1575? 1587 What comes next: -3483736, -3483729, -3483724, -3483721, -3483720? -3483721 What is next in -183778, -183818, -183886, -183982, -184106, -184258? -184438 What is the next term in -133, -10704, -28319, -52972, -84657, -123368, -169099, -221844? -281597 What comes next: 8600506, 17201006, 25801504, 34402000? 43002494 What is next in -98502, -197081, -295632, -394137, -492578? -590937 What comes next: -2586068, -5172165, -7758262, -10344359, -12930456? -15516553 What is next in 434, 1154, 2116, 3332, 4814, 6574, 8624? 10976 What is next in 35954, 71903, 107816, 143675, 179462? 215159 What is the next term in -5786, -18776, -40424, -70730, -109694? -157316 What is next in 35802982, 35802988, 35803006, 35803042, 35803102, 35803192, 35803318? 35803486 What is next in -879, -2937, -6173, -10587, -16179, -22949? -30897 What is the next term in -4821, -9997, -15173, -20349, -25525? -30701 What is next in -70483, -70710, -71089, -71620? -72303 What is the next term in 13761, 27786, 42349, 57720, 74169, 91966, 111381, 132684? 156145 What is the next term in 999, 1132, 1319, 1584, 1951? 2444 What is next in -7074710, -7074714, -7074718, -7074722, -7074726, -7074730? -7074734 What is next in -3439, -3156, -2659, -1948, -1023? 116 What is the next term in 8562, 2537, -3492, -9525? -15562 What comes next: 21924, 87165, 195900, 348129, 543852? 783069 What is next in -56696, -56491, -55924, -54809, -52960? -50191 What is the next term in 3976735, 7953505, 11930291, 15907093, 19883911, 23860745? 27837595 What comes next: 158, 146, 102, 32, -58, -162, -274? -388 What is next in 3513, 3609, 3769, 3993, 4281? 4633 What is the next term in -184, -1912, -6668, -15958, -31288? -54164 What is next in 6538, 20698, 34862, 49030, 63202, 77378? 91558 What is next in 15316848, 15316852, 15316858, 15316866, 15316876, 15316888, 15316902? 15316918 What comes next: 4245, 12884, 30357, 61080, 109469, 179940, 276909? 404792 What comes next: 636, -8368, -36462, -93192, -188104? -330744 What is the next term in -5898, -5620, -5342, -5064, -4786? -4508 What is next in 5792322, 5792316, 5792304, 5792286, 5792262? 5792232 What comes next: 92239, 184410, 276523, 368578, 460575, 552514, 644395? 736218 What is the next term in 5122, 40895, 137966, 326983, 638594, 1103447, 1752190? 2615471 What is the next term in -1893, -7542, -16955, -30132, -47073, -67778, -92247? -120480 What comes next: 3705, 4030, 4471, 5028, 5701, 6490? 7395 What is next in -123785378, -247570754, -371356130, -495141506? -618926882 What is next in -33863, -33706, -33549, -33392, -33235? -33078 What is next in -242072, -484126, -726184, -968246, -1210312? -1452382 What is the next term in 1927, 3823, 5707, 7579, 9439, 11287? 13123 What comes next: 5109408, 5109405, 5109400, 5109393, 5109384, 5109373? 5109360 What is next in 2890882, 2891024, 2891154, 2891266, 2891354, 2891412, 2891434? 2891414 What is next in 611331, 610968, 610605, 610242, 609879, 609516? 609153 What is next in -59915075, -59915074, -59915073? -59915072 What comes next: 171970, 343943, 515916, 687889, 859862, 1031835? 1203808 What comes next: -12852, -10494, -6566, -1068, 6000? 14638 What is next in 360653, 360701, 360781, 360893, 361037? 361213 What comes next: 1554959, 1554817, 1554675? 1554533 What is the next term in -77831, -77803, -77763, -77705, -77623? -77511 What comes next: -521470, -521455, -521438, -521413, -521374, -521315, -521230, -521113? -520958 What is the next term in 16821, 67116, 150559, 266838, 415641, 596656? 809571 What comes next: -39577, -158109, -355661,
{ "pile_set_name": "DM Mathematics" }
he highest common factor of 240 and 15000? 120 Calculate the highest common divisor of 861 and 6601. 287 What is the greatest common divisor of 630 and 75? 15 Calculate the greatest common divisor of 810 and 30. 30 Calculate the greatest common factor of 2547 and 117. 9 Calculate the greatest common divisor of 9 and 97668. 9 Calculate the highest common divisor of 6692 and 14. 14 Calculate the greatest common divisor of 415 and 4648. 83 What is the highest common factor of 717 and 33? 3 What is the greatest common divisor of 150 and 75? 75 What is the greatest common factor of 254 and 2159? 127 Calculate the highest common factor of 190 and 250. 10 What is the highest common divisor of 1242 and 18? 18 Calculate the highest common divisor of 81 and 1044. 9 Calculate the greatest common divisor of 26559 and 13. 13 Calculate the highest common factor of 210 and 588. 42 Calculate the greatest common divisor of 282 and 114. 6 What is the highest common factor of 292 and 16? 4 Calculate the greatest common factor of 42 and 120. 6 What is the highest common divisor of 190 and 10? 10 Calculate the highest common factor of 2360 and 120. 40 What is the greatest common factor of 4 and 38? 2 Calculate the greatest common factor of 78 and 104. 26 Calculate the highest common divisor of 1368 and 288. 72 Calculate the greatest common factor of 66 and 48. 6 Calculate the greatest common factor of 3885 and 70. 35 Calculate the highest common divisor of 105 and 280. 35 What is the greatest common factor of 2312 and 119? 17 What is the greatest common divisor of 2553 and 259? 37 Calculate the greatest common factor of 14415 and 620. 155 Calculate the greatest common factor of 30240 and 252. 252 Calculate the greatest common factor of 223 and 669. 223 Calculate the highest common divisor of 91 and 182. 91 What is the greatest common factor of 240 and 195? 15 What is the greatest common factor of 27 and 267? 3 What is the highest common divisor of 2460 and 574? 82 What is the highest common factor of 4 and 132? 4 Calculate the greatest common factor of 23 and 4117. 23 What is the highest common factor of 224 and 196? 28 Calculate the highest common factor of 96 and 32. 32 What is the highest common factor of 180 and 16? 4 What is the highest common factor of 19194 and 21? 21 What is the greatest common divisor of 80 and 120? 40 What is the greatest common factor of 318 and 42? 6 Calculate the highest common divisor of 14 and 22. 2 What is the highest common factor of 531 and 18? 9 What is the highest common divisor of 35 and 95? 5 What is the greatest common divisor of 104 and 8? 8 What is the highest common divisor of 1707 and 9? 3 What is the highest common divisor of 2546 and 38? 38 Calculate the greatest common factor of 440 and 176. 88 Calculate the highest common factor of 7448 and 19. 19 Calculate the greatest common factor of 27510 and 20. 10 What is the greatest common factor of 4 and 192? 4 Calculate the highest common divisor of 15 and 105. 15 What is the greatest common divisor of 175 and 2520? 35 What is the highest common divisor of 1090 and 10? 10 Calculate the highest common factor of 237 and 16827. 237 What is the highest common factor of 12 and 7482? 6 What is the highest common divisor of 308 and 429? 11 Calculate the highest common divisor of 138 and 483. 69 Calculate the greatest common factor of 63 and 54. 9 What is the greatest common factor of 3953 and 134? 67 Calculate the greatest common divisor of 6413 and 121. 121 What is the greatest common divisor of 80 and 95? 5 Calculate the highest common divisor of 204 and 2516. 68 What is the greatest common divisor of 585 and 1053? 117 Calculate the greatest common divisor of 1176 and 48. 24 Calculate the highest common factor of 336 and 896. 112 Calculate the highest common divisor of 169 and 1209. 13 Calculate the greatest common divisor of 40 and 6970. 10 Calculate the greatest common factor of 362 and 42173. 181 What is the greatest common factor of 5 and 2615? 5 Calculate the highest common factor of 48 and 1200. 48 What is the highest common divisor of 473 and 136697? 473 What is the greatest common factor of 6454 and 98? 14 What is the greatest common factor of 145 and 464? 29 Calculate the highest common factor of 13 and 112. 1 Calculate the greatest common factor of 77 and 693. 77 What is the greatest common divisor of 21 and 7? 7 Calculate the greatest common factor of 14 and 2962. 2 Calculate the greatest common divisor of 1293 and 36. 3 What is the highest common divisor of 427 and 511? 7 Calculate the greatest common divisor of 30 and 735. 15 Calculate the greatest common divisor of 4194 and 90. 18 What is the highest common factor of 1818 and 5656? 202 Calculate the greatest common factor of 42511 and 7. 7 What is the highest common factor of 125 and 1? 1 Calculate the greatest common factor of 8 and 28. 4 Calculate the greatest common divisor of 585 and 315. 45 Calculate the greatest common factor of 186 and 7502. 62 What is the greatest common factor of 4576 and 1287? 143 What is the greatest common factor of 21 and 49? 7 Calculate the highest common factor of 460 and 782. 46 What is the highest common divisor of 520 and 40? 40 Calculate the greatest common factor of 7612 and 11. 11 Calculate the highest common factor of 37 and 1. 1 Calculate the greatest common divisor of 656 and 902. 82 What is the highest common divisor of 425 and 340? 85 Calculate the highest common divisor of 105 and 35. 35 Calculate the greatest common divisor of 1957 and 206. 103 What is the highest common divisor of 280 and 315? 35 Calculate the greatest common factor of 147 and 21. 21 Calculate the greatest common divisor of 23 and 97. 1 Calculate the highest common divisor of 1290 and 20. 10 What is the highest common divisor of 715 and 104? 13 Calculate the highest common factor of 3336 and 16. 8 Calculate the highest common factor of 17 and 24701. 17 Calculate the highest common divisor of 2097 and 233. 233 Calculate the highest common divisor of 156 and 3822. 78 What is the highest common factor of 294 and 399? 21 What is the highest common divisor of 66 and 888? 6 What is the greatest common factor of 2700 and 440? 20 Calculate the highest common divisor of 35 and 30. 5 What is the greatest common divisor of 141977 and 11? 11 Calculate the greatest common factor of 1640 and 135. 5 Calculate the highest common divisor of 2962 and 2. 2 What is the highest common divisor of 836 and 11? 11 What is the highest common factor of 2 and 37? 1 Calculate the highest common factor of 11 and 24233. 11 What is the greatest common divisor of 108 and 31212? 108 Calculate the greatest common divisor of 640 and 32. 32 What is the highest common divisor of 234 and 1248? 78 What is the greatest common factor of 23 and 2461? 23 Calculate the highest common divisor of 798 and 42. 42 What is the highest common divisor of 708 and 1356? 12 What is the greatest common divisor of 990 and 30? 30 What is the greatest common factor of 459 and 54? 27 What is the highest common factor of 99 and 132? 33 Calculate the highest common factor of 29 and 551. 29 What is the highest common factor of 20 and 310? 10 Calculate the greatest common factor of 1147 and 333. 37 What is the highest common divisor of 288 and 252? 36 What is the highest common factor of 531 and 4425? 177 Calculate the highest common factor of 31 and 18. 1 What is the greatest common factor of 649 and 22? 11 Calculate the highest common factor of 6902 and 952. 238 Calculate the greatest common divisor of 54 and 459. 27 Calculate the greatest common factor of 132 and 12. 12 Calculate the greatest common factor of 13 and 65. 13 Calculate the greatest common divisor of 776 and 14550. 194 What is the greatest common factor of 402 and 1474? 134 Calculate the greatest common factor of 288 and 7416. 72 Calculate the highest common divisor of 285 and 3. 3 Calculate the greatest common divisor of 8 and 1912. 8 Calculate the highest common factor of 277 and 8864. 277 What is the highest common divisor of 368 and 704? 16 What is the highest common divisor of 260 and 1378? 26 What is the highest common factor of 3204 and 72? 36 Calculate the highest common divisor of 6240 a
{ "pile_set_name": "DM Mathematics" }
4/16 + 11*y**3/8 + 39*y**2/4 + 11*y - 1. Suppose l(p) = 0. Calculate p. -2, 13 Let u be -5 + 196/76 + -2 + 4. Let c = u + 62/57. Suppose -8/3*h + c - 10/3*h**2 = 0. Calculate h. -1, 1/5 Let h(l) be the second derivative of -l**7/147 + 6*l**6/35 - 29*l**5/35 + 4*l**4/7 + 59*l**3/21 - 6*l**2 + 854*l. Determine n, given that h(n) = 0. -1, 1, 3, 14 Let s(r) = -r**3 + r - 2. Let c(f) = 8*f**3 - 28*f**2 - 95*f - 26. Let o(m) = -2*c(m) - 6*s(m). Factor o(v). -2*(v - 8)*(v + 2)*(5*v + 2) Suppose 0 = -4*d + 30 - 10. Factor 7*f**2 - d*f - 3*f**2 - 11*f + 4*f. 4*f*(f - 3) Let p(t) be the third derivative of 11*t**8/8064 + t**7/84 + t**6/72 - 29*t**5/30 + 10*t**2 + 2. Let b(m) be the third derivative of p(m). Factor b(z). 5*(z + 2)*(11*z + 2)/2 Let q be (-190)/(-12) - 6/(-36). Find o, given that 14*o**4 - 15*o**3 + 6*o**2 - 2*o**4 - q - 3*o**5 + 16 = 0. 0, 1, 2 Let z be ((-4)/6)/(10/(-45)). Factor -3*d**4 + d**5 - 2*d**4 - 2*d**3 + z*d**5 + 3*d**3. d**3*(d - 1)*(4*d - 1) Suppose h + 11*h = 900. Factor -t**2 - 9*t**2 - 5*t**5 - h*t**4 - 8*t**3 + 55*t**4 - 17*t**3. -5*t**2*(t + 1)**2*(t + 2) Let s(o) be the first derivative of -o**9/5292 - o**8/2940 + o**7/1470 + o**6/630 - 10*o**3/3 - 1. Let f(w) be the third derivative of s(w). Factor f(q). -4*q**2*(q - 1)*(q + 1)**2/7 Let p(s) = -s**2 + s - 1. Let y(f) be the first derivative of -20*f**3/3 + 10*f**2 - 16*f + 10. Let r(u) = 16*p(u) - y(u). Factor r(d). 4*d*(d - 1) Factor -g**4 - 2*g**4 + 5*g**4 - 27*g**2 - 20*g + 8*g**3 + 21*g**2 + 16. 2*(g - 1)**2*(g + 2)*(g + 4) Let p = 2 + -5. Let v be 80/84 + 1/p*2. Find w such that -2/7*w**2 + 1/7*w**5 + 3/7*w**4 + v*w**3 - 3/7*w - 1/7 = 0. -1, 1 Let v = 7625 - 114367/15. Find m, given that -v*m - 2/15*m**2 - 8/15 = 0. -2 Factor c + 0*c**3 + 5*c**3 + 73 - 159 + 76 - 16*c. 5*(c - 2)*(c + 1)**2 Let g(y) be the third derivative of 0 + 0*y**4 + 0*y + 0*y**3 + 1/300*y**5 + 29*y**2 - 1/600*y**6. Factor g(m). -m**2*(m - 1)/5 Suppose 72 = -h + 10*h + 27. Find u such that -4*u**3 + 4/5 - 1/5*u**4 + 6/5*u**h - 9/5*u**2 + 8/5*u = 0. -1, -1/2, 2/3, 2 Let g be (-2)/(-21)*(7 - 4). Suppose -3*t + 10*t = -8*t. Suppose g*y - 5/7*y**3 + 1/7*y**4 + t + 3/7*y**5 - 1/7*y**2 = 0. Calculate y. -1, 0, 2/3, 1 Let p(t) be the third derivative of t**7/2100 + t**6/300 + t**5/150 + t**3/3 + 5*t**2. Let r(w) be the first derivative of p(w). Factor r(x). 2*x*(x + 1)*(x + 2)/5 Let r(i) be the second derivative of i**6/15 + 3*i**5/5 + 4*i**4/3 + 134*i + 2. Determine z so that r(z) = 0. -4, -2, 0 Let t(w) be the third derivative of w**8/4480 + w**7/280 + w**6/40 + w**5/10 + 13*w**4/24 - 24*w**2. Let s(g) be the second derivative of t(g). Factor s(q). 3*(q + 2)**3/2 Let k(a) = 5*a + 2. Let r be k(6). What is g in 120*g - 45 + g**2 + 4*g**2 + 80*g**4 - 88*g**3 - r*g**3 - 40*g**2 = 0? -1, 3/4, 1 Suppose 5*o = 5*i + 165, 2*o - 3*i + 18 - 82 = 0. Let l = o - 33. Factor -9/2*m**5 + 0*m + 3/2*m**3 + 0 + 3*m**l - 6*m**4. -3*m**2*(m + 1)**2*(3*m - 2)/2 Suppose 30*t - 219 - 51 = 0. Let o(x) be the third derivative of -1/330*x**5 + 1/33*x**4 + 0*x + 0 - 1/11*x**3 - t*x**2. Let o(f) = 0. What is f? 1, 3 Let p = 7492/3 + -2497. Determine b, given that -p - 1/3*b**3 + 1/3*b + 1/3*b**2 = 0. -1, 1 Let h = 184 + -184. Determine g so that 3*g + 3/4*g**3 + 3*g**2 + h = 0. -2, 0 Solve -18 - q**4 + 35*q**2 - 28 + 2*q**4 - 12*q + 12*q**3 + 10 = 0 for q. -6, -1, 1 Let a(m) be the first derivative of -4/5*m**5 + 4/3*m**3 + 0*m + 2*m**2 - 12 - m**4. Factor a(o). -4*o*(o - 1)*(o + 1)**2 Let m(b) be the third derivative of b**6/120 + b**5/5 + 7*b**4/8 - 49*b**3/3 - 55*b**2. Solve m(s) = 0 for s. -7, 2 Suppose 3*z = -3*d + 24, 3*d + 20 = -2*z + 3*z. Solve 6*g**2 - z*g + 0*g**2 - 5*g**2 - 2*g**2 - 10 = 0 for g. -10, -1 Let i(o) be the first derivative of -2*o**6/3 + 8*o**5 - 32*o**4 + 128*o**3/3 - 22. Let i(p) = 0. Calculate p. 0, 2, 4 Let v(m) be the first derivative of m**6/51 + 16*m**5/85 + 6*m**4/17 - 36*m**3/17 - 189*m**2/17 - 324*m/17 - 251. Determine s, given that v(s) = 0. -3, -2, 3 Let y = -23 - -18. Let q(b) = 9*b**3 - 3*b**2 + 4*b - 5. Let n(f) = -10*f**3 + 2*f**2 - 4*f + 6. Let u(g) = y*n(g) - 6*q(g). Solve u(z) = 0 for z. 0, 1 Let q(n) = n**2 - n + 7. Let m(g) = -2 + 10 - g - 9. Let t(z) = -15*m(z) - 5*q(z). Factor t(b). -5*(b - 2)**2 Let i(l) be the second derivative of -2*l**6/5 + l**5 - 2*l**4 + 4*l**2 - 19*l. Let j(t) = t**4 + t**3 - 1. Let z(g) = i(g) + 8*j(g). Factor z(d). -4*d**2*(d - 6)*(d - 1) Suppose 5*v = 7*v - 2*u, 0 = -4*v - u + 15. Let b(y) be the first derivative of -y**2 + 1/2*y**4 + 0*y - 2 + 0*y**v. Suppose b(s) = 0. Calculate s. -1, 0, 1 Let o(d) be the second derivative of -d**4/3 - 20*d**3/3 - 18*d**2 + 25*d. Determine p so that o(p) = 0. -9, -1 Suppose -6*y + 16*y - 120 = 0. Let u be y/7 + 8/28. Factor 9/5*p + 21/5*p**3 - 36/5*p**u + 6/5. 3*(p - 1)**2*(7*p + 2)/5 Solve 0 - 2/7*g**4 - 26/7*g**2 + 4*g**3 + 0*g = 0 for g. 0, 1, 13 Let d = -38 + 41. Factor -26*j**4 + 13*j**5 - d*j**5 - 12*j**3 - 12 + 12. 2*j**3*(j - 3)*(5*j + 2) Let w be (-78)/15*250/(-60). Let u = -194/9 + w. Solve u*q**4 + 0 + 4/9*q**3 + 2/9*q + 5/9*q**2 = 0 for q. -2, -1, 0 Let k(x) be the first derivative of 6*x**2 + 0*x**3 + 14 + 0*x - 9/4*x**4 - 3/5*x**5. Determine w so that k(w) = 0. -2, 0, 1 Suppose 4*i = 2*r - 2, -r = i - 0*i - 7. Factor -43*s - 63*s**2 + 99*s**i + 108 - 4*s**3 - 65*s. -4*(s - 3)**3 Let j(d) be the third derivative of d**6/600 - 11*d**5/300 + d**4/4 - 55*d**2 + 2*d. Factor j(m). m*(m - 6)*(m - 5)/5 Let g(i) = -2*i**3 - 11*i**2 - i - 14. Let n be g(-6). What is a in 5*a**2 + 7*a**2 + 4*a**2 - 12*a**2 - n*a = 0? 0, 7 Factor -4*p**2 - 8*p + 0 - 1/2*p**3. -p*(p + 4)**2/2 Let s be (-1 + (-13)/(-5))/(24/60). Let v(g) be the third derivative of 0 - 1/84*g**6 - 19/28*g**s - 16/105*g**5 - 6/7*g**3 + 0*g - 6*g**2. Factor v(w). -2*(w + 3)**2*(5*w + 2)/7 Let r(l) be the first derivative of 4/15*l**3 + 1/5*l**4 - 4/5*l**2 + 0*l - 37. Factor r(s). 4*s*(s - 1)*(s + 2)/5 Factor 414*m - 3/4*m**2 - 57132. -3*(m - 276)**2/4 Let a = 9409/105 - 448/5. Let w(j) be the second derivative of 0 + 0*j**2 - 8*j + 0*j**3 + 0*j**5 + 0*j**4 + a*j**6. Factor w(l). 2*l**4/7 Let h be 4*1*2/4. Factor -12*l - 6*l**2 - l**2 + 9 + 10*l**h. 3*(l - 3)*(l - 1) Let 7*v - 5*v - 3*v**3 + v**5 - v**2 + 20*v**4 - 19*v**4 = 0. What is v? -2, -1, 0, 1 Let v be (-221)/102 - 22/(-6). Let i(p) = p**2 - 2. Let z be i(-2). Factor -v*x**z + 3*x - 3/2. -3*(x - 1)**2/2 Let y(c) be the third derivative of -1/6*c**3 + 0*c + 7/360*c**6 + 0 + 1/72*c**4 + 11/180*c**5 - 20*c**2. Determine m, given that y(m) = 0. -1, 3/7 Let w be (3*3/24)/(72/48). Factor w*m**2 + 1/4*m**4 + 1/2*m**3 + 0*m + 0. m**2*(m + 1)**2/4 Let i(d) be the third derivative of 1/210*d**7 + 3*d**2 + 1/540*d**5 - 7/360*d**6 + 1/24*d**4 + 1/27*d**3 + 0*d + 0. Factor i(y). (y - 2)*(y - 1)*(3*y + 1)**2/9 Let l(p) be the third derivative of 2/9*p**4 + 0 + 0*p + 2/15*p**5 + 2/315*p**7 + 2/45*p**6 + 11*p**2 + 2/9*p**3. Solve l(v) = 0 for v. -1 Let i = -253 + 393. Solve i*q**4 - 5*q**2 - 7*q**2 + 73*q**3 + 28*q**2 + 23*q**3 = 0. -2/5, -2/7, 0 Let j(p) = -9*p**3 + 181*p**2 - 172*p + 5. Let z(k) = 28*k**3 - 544*k**2 + 516*k - 16. Let g(s) = -16*j(s) - 5*z(s). Factor g(b). 4*b*(b - 43)*(b - 1) Let y = 8 + 26. What is m in -9*m**3 + y*m**4 - 6*m**2 - 75*m**4 + 38*m**4 = 0? -2, -1, 0 Let u(o) be the first derivative of o**5/5 - o**4/4 - 2*o**3 + 2*o**2 + 8*o + 92. Factor u(n). (n - 2)**2*(n + 1)*(n + 2) Let m(d) be the third derivative of 0 + 0*d + 1/240*d**5 + 7/48*d**4 + 49/24*d**3 + 9*d**2. Suppose m(a) = 0. Calculate a. -7 Suppose 0 - 5/4*y**2 + 27/4*y = 0. What is y? 0, 27/5 Let j be 112/((-42)/(-54) - 1). Let o be (140/j)/(5/(-3)). Factor -1/3 + 1/6*m**2 - o*m. (m - 2)*(m + 1)/6 Factor 0 + 1/2*x**2 - 21/2*x. x*(x - 21)/2 Let c(v) be the third derivative of -v**8/10080 + v**7/630 - v**6/90 - 7*v**5/15 - 46*v**2. Let i(r) be the third derivative of c(r). Factor i(p). -2*(p - 2)**2 Suppose 74 = -4*v - 246. Let t be v/28*49/(-42). Find c such that 0 + 0*c + t*c**3 + 0*c**2 - 5/3*c**4 = 0. 0, 2 Let d be 2/4*42/7. Let u be -2*d*6/(-4). Solve -2*w**3 - 6*w**2 + 2*w**3 - 2*w**3 - u*w + 6*w**4 + 11*w = 0. -1, 0, 1/3, 1 Let v be -6 - ((-2436)/133)/6*2. Factor -8/19*x**2 + 0 + v*x**3 + 8/19*x. 2*x*(x - 2)**2/19
{ "pile_set_name": "DM Mathematics" }
464024480000000 How many hours are there in three eighths of a day? 9 Convert 67382.76 tonnes to micrograms. 67382760000000000 How many nanoseconds are there in 15352.64 minutes? 921158400000000 Convert 13518.36108 nanoseconds to weeks. 0.0000000000223517875 Convert 75513.36 decades to months. 9061603.2 What is 20.53442km in centimeters? 2053442 What is twenty-one quarters of a gram in milligrams? 5250 What is 213.4524nm in kilometers? 0.0000000002134524 Convert 21.21425 millilitres to litres. 0.02121425 What is fifty-five sixths of a hour in seconds? 33000 How many meters are there in 27/2 of a kilometer? 13500 What is three fifths of a day in seconds? 51840 Convert 57810.71km to nanometers. 57810710000000000 What is 316492.7 grams in milligrams? 316492700 What is 3/32 of a gram in micrograms? 93750 What is one fifth of a decade in years? 2 Convert 178814.2g to tonnes. 0.1788142 How many micrometers are there in 3/40 of a meter? 75000 What is 51/5 of a day in minutes? 14688 Convert 0.2644961kg to nanograms. 264496100000 What is 7/6 of a century in months? 1400 How many millimeters are there in eleven quarters of a meter? 2750 What is 18/5 of a litre in millilitres? 3600 How many millennia are there in 2.427762 months? 0.0002023135 Convert 801.0242 centimeters to millimeters. 8010.242 How many meters are there in 37/2 of a kilometer? 18500 What is 13/5 of a litre in millilitres? 2600 Convert 4688.587cm to meters. 46.88587 What is 99858.5 years in millennia? 99.8585 How many nanograms are there in 27/5 of a microgram? 5400 How many millilitres are there in 75/4 of a litre? 18750 What is 364.8632 nanograms in tonnes? 0.0000000000003648632 What is 1/5 of a centimeter in millimeters? 2 What is 23.33552t in kilograms? 23335.52 What is 55/2 of a litre in millilitres? 27500 What is 28/9 of a day in minutes? 4480 How many litres are there in 5.310111ml? 0.005310111 What is three fifths of a centimeter in micrometers? 6000 How many hours are there in 4.9941279 nanoseconds? 0.00000000000138725775 How many months are there in twenty-nine thirds of a year? 116 How many nanograms are there in 11/4 of a microgram? 2750 How many months are there in 106.6622 decades? 12799.464 What is twenty-six fifths of a kilogram in grams? 5200 What is 88668.43 centuries in months? 106402116 How many nanograms are there in one tenth of a microgram? 100 Convert 6735.394 kilometers to nanometers. 6735394000000000 How many months are there in 2/15 of a century? 160 How many years are there in 6.201093 decades? 62.01093 Convert 1.434444 millilitres to litres. 0.001434444 What is 18/5 of a litre in millilitres? 3600 How many millilitres are there in 7/8 of a litre? 875 Convert 4488.081 grams to nanograms. 4488081000000 What is 960.8811 years in months? 11530.5732 How many kilometers are there in 267.8459um? 0.0000002678459 What is 2/15 of a millennium in months? 1600 Convert 55.3348 grams to milligrams. 55334.8 What is 27/5 of a hour in minutes? 324 How many months are there in 37.71386 millennia? 452566.32 How many decades are there in 92491.46 centuries? 924914.6 How many seconds are there in 20.31407 days? 1755135.648 Convert 0.5949818ml to litres. 0.0005949818 How many micrometers are there in 0.4278844cm? 4278.844 What is 48298.55ug in nanograms? 48298550 What is nine tenths of a millennium in years? 900 How many hours are there in thirty-one halves of a week? 2604 What is 1/5 of a kilometer in centimeters? 20000 Convert 9.641119 litres to millilitres. 9641.119 How many micrometers are there in 1/5 of a millimeter? 200 How many centuries are there in 1/10 of a millennium? 1 How many months are there in 1/10 of a decade? 12 Convert 0.9819568 millennia to months. 11783.4816 How many nanoseconds are there in 50.72186 weeks? 30676580928000000 What is 12/25 of a litre in millilitres? 480 What is 7.0208577s in hours? 0.00195023825 What is 27/2 of a millimeter in micrometers? 13500 Convert 853778.7t to milligrams. 853778700000000 What is fourty-nine quarters of a microgram in nanograms? 12250 How many micrograms are there in 7/8 of a milligram? 875 How many millimeters are there in 85/4 of a meter? 21250 How many tonnes are there in 170185.4ug? 0.0000001701854 Convert 113125.74 months to centuries. 94.27145 Convert 558.8964 centimeters to millimeters. 5588.964 What is 27/5 of a microgram in nanograms? 5400 How many litres are there in 22318.43ml? 22.31843 How many decades are there in three fifths of a century? 6 Convert 9.908909kg to nanograms. 9908909000000 How many hours are there in 811.23759us? 0.000000225343775 Convert 176.8122 seconds to days. 0.0020464375 How many minutes are there in seven quarters of a day? 2520 What is twelve sevenths of a week in hours? 288 How many centuries are there in 3420.791 decades? 342.0791 What is 31/2 of a decade in years? 155 How many millimeters are there in 29/2 of a meter? 14500 Convert 33397.8kg to tonnes. 33.3978 How many tonnes are there in 443.677 micrograms? 0.000000000443677 Convert 4875.181l to millilitres. 4875181 How many micrograms are there in 0.3603033 nanograms? 0.0003603033 How many millilitres are there in thirteen eighths of a litre? 1625 How many millennia are there in 0.5917746 years? 0.0005917746 How many kilograms are there in 0.4846625t? 484.6625 What is twenty-one fifths of a week in minutes? 42336 How many micrometers are there in 3/32 of a meter? 93750 How many decades are there in 1.987104 centuries? 19.87104 How many millilitres are there in fifty-nine quarters of a litre? 14750 What is 79.89608 millilitres in litres? 0.07989608 What is 1/4 of a tonne in kilograms? 250 What is 942803.631us in weeks? 0.0000015588684375 How many decades are there in eleven tenths of a millennium? 110 What is 71/4 of a millennium in years? 17750 What is three tenths of a tonne in kilograms? 300 Convert 6067.908 kilograms to grams. 6067908 Convert 0.4343657 kilograms to micrograms. 434365700 Convert 454936.1 milligrams to grams. 454.9361 What is seventeen quarters of a milligram in micrograms? 4250 Convert 50.80657 litres to millilitres. 50806.57 What is 4.23845 nanograms in tonnes? 0.00000000000000423845 Convert 5.968451g to micrograms. 5968451 What is seven quarters of a litre in millilitres? 1750 What is 104.97741 months in millennia? 0.0087481175 What is 0.5768471 centuries in decades? 5.768471 How many grams are there in 3/40 of a tonne? 75000 How many minutes are there in 24.828366 microseconds? 0.0000004138061 How many tonnes are there in 12.69287 milligrams? 0.00000001269287 How many millilitres are there in eighteen fifths of a litre? 3600 What is 21/8 of a milligram in micrograms? 2625 What is three fifths of a millennium in years? 600 What is 3/10 of a tonne in kilograms? 300 What is 11019.68 millimeters in micrometers? 11019680 How many months are there in sixty-five thirds of a year? 260 How many millilitres are there in 17/4 of a litre? 4250 How many millimeters are there in one fifth of a meter? 200 How many micrograms are there in 50210.3t? 50210300000000000 What is fourty-four fifths of a micrometer in nanometers? 8800 How many tonnes are there in 7116.262 milligrams? 0.000007116262 How many months are there in 29/3 of a year? 116 How many litres are there in 446.2131 millilitres? 0.4462131 How many millilitres are there in seven halves of a litre? 3500 What is twenty-five halves of a century in years? 1250 How many micrometers are there in 0.516109 nanometers? 0.000516109 What is 0.371293mg in kilograms? 0.000000371293 Convert 1322.5659 months to centuries. 1.10213825 How many seconds are there in one ninth of a hour? 400 Convert 343744.9 litres to millilitres. 343744900 Convert 606.5854 nanograms to tonnes. 0.0000000000006065854 Convert 0.2106421ns to seconds. 0.0000000002106421 How many millilitres are there in twenty-seven halves of a litre? 13500 What is 0.8247247 micrometers in millimeters? 0.0008247247 How many millilitres are there in seven quarters of a litre? 1750 What is 3694.771l in millilitres? 3694771 Convert 0.7298938 millennia to months. 8758.7256 How many milligrams are there in 9.07185 micrograms? 0.00907185 Convert 840.8636 years to millennia. 0.8408636 How many milligrams are there in twenty
{ "pile_set_name": "DM Mathematics" }
w + 11/4. Sort -1/5, a, 0 in increasing order. a, -1/5, 0 Let f(c) = c**3 + 6*c**2 - 5*c + 11. Let w be f(-7). Sort 6, -5, w, -0.2 in descending order. 6, -0.2, w, -5 Suppose -3*k + 17 - 2 = 0. Suppose 0*x + 2*x = -6, 0 = 2*m - k*x - 9. Put 2, -1, m in ascending order. m, -1, 2 Let r = 3.3 + -3. Let a = r - 0.3. Put a, -0.3, -0.4 in descending order. a, -0.3, -0.4 Suppose -3*l + 6*l = -x + 11, 0 = 2*x + 3*l - 7. Suppose 2*q - 3*q + 4 = 0. Sort 1, x, q. x, 1, q Suppose 0 = -5*g - 4 - 1. Let i = g - -4/5. Sort 3, 1, i in descending order. 3, 1, i Let t = 82 - 86. Sort t, 5, 7 in ascending order. t, 5, 7 Suppose -4*o + 1 = 29. Let l be (-19)/o + 2/7. Let b be (2/7)/(1 - l). Put b, -2/11, -2 in descending order. b, -2/11, -2 Let f = 81 + -84. Sort -0.2, 2/7, f, 0.5 in ascending order. f, -0.2, 2/7, 0.5 Let x(f) = -f**2 - 4*f. Let o be x(-3). Let c be 0 - o*(-3)/3. Put 4, -4/3, c in increasing order. -4/3, c, 4 Let m(h) = -h**3 - 9*h**2 - h - 6. Let j be m(-9). Put j, 4, -3 in ascending order. -3, j, 4 Let o be (-8)/(-6) - 254/6. Put 5, 4, o in descending order. 5, 4, o Let l = -1 - 4. Let f = l + 0. Put 3, f, -2 in descending order. 3, -2, f Let f = -0.25 + 0.05. Sort -1/3, 4, f in decreasing order. 4, f, -1/3 Let d be 3/(-2) - (-7)/2. Put -4, d, 3 in decreasing order. 3, d, -4 Let c = -5 + 11. Let i(k) = k**2 + 8*k - 12. Let a be i(-9). Put a, c, -1 in decreasing order. c, -1, a Let j = -1/32 - 27/160. Let d = j - -3/5. Sort d, -12, -2/7 in ascending order. -12, -2/7, d Let i = -0.02 + -0.58. Let y = i + 0.6. Let q = y - 1. Put 1/7, q, 2 in decreasing order. 2, 1/7, q Let x(b) = -b**3 + 7*b**2 + 8*b - 1. Let z be x(8). Sort 5, z, -6. -6, z, 5 Let f(p) = p + 4. Let v be f(0). Suppose 0 = -3*u - v - 2. Let b = u + -1. Put 4, b, -1 in decreasing order. 4, -1, b Suppose -3*c + 2*j + 11 = 0, 0*c + 4*c = -3*j + 26. Let v(q) = 2 + 1 + 4*q + 4*q**2 - 3*q**2. Let z be v(-4). Sort z, 0, c in decreasing order. c, z, 0 Let u(n) = n**3 + 4*n**2 + 5*n + 1. Let d(v) = 2*v**3 + 7*v**2 + 9*v + 3. Let g(b) = -4*d(b) + 7*u(b). Let h be g(0). Let c be (4/55)/(2/h). Sort -1, c, -3. -3, -1, c Suppose -2*s = h - 333, 3*s = h + h + 496. Let m be 4/(-12) - s/6. Let a be 11/m + 2/8. Sort -0.1, a, -0.2. -0.2, a, -0.1 Let i = 7 - 2. Suppose 0 = 4*n + 1 - i. Sort 2, -2, n in decreasing order. 2, n, -2 Suppose -23 = -s - 22. Put s, 5, 0, -1 in increasing order. -1, 0, s, 5 Suppose q - 2 = -3. Let h be 6/80 - 5/25. Sort h, q, 0 in descending order. 0, h, q Let u = 27 - 15. Let z be (22/8)/(3/u). Suppose 2*i + z - 3 = 0. Sort i, 0, 4. i, 0, 4 Let l = -2.6 + -0.4. Let r = -1.4 + 1. Let w = 25 - 27. Sort w, r, l in descending order. r, w, l Suppose 2*b - 6 = -q, 0 = 3*b - 8*b - 2*q + 15. Suppose 4*a + 5*f - 5 = 0, -5*f = a - 10 - 10. Let g = 1 + -3. Put b, g, a in descending order. b, g, a Let k(f) = f - 4. Let u be k(4). Suppose -q - 4 = -u. Suppose 2 = -4*g + 6. Put 2, q, g in ascending order. q, g, 2 Let m = 23 - 17. Put m, -2, -3 in ascending order. -3, -2, m Let j be (-14)/(-18) - 14/(-63). Let g = j - -4. Sort g, 4, 1. 1, 4, g Let s = -4.5 - 0.5. Let y = 9 + -6. Sort s, -4, y. s, -4, y Let d = -0.55 + 3.55. Let l be (-74)/10*33/(-387). Let w = -4/129 + l. Put d, 4, w in increasing order. w, d, 4 Let z = 27.1 - 26. Let j = -0.1 + z. Put -4, j, 2/3 in decreasing order. j, 2/3, -4 Let h be (-54)/(-180) + (-2)/(-10). Put -4/7, -5, h in ascending order. -5, -4/7, h Let x = 0.5 - 0.1. Let u = 2 + 3. Sort x, u, 4. x, 4, u Suppose -c - 2*c - 12 = 0. Sort 0, -5, c in increasing order. -5, c, 0 Suppose 7*i - 3*i = 12. Suppose 6 + 18 = -4*r. Let z be (3/(-13))/(r/4). Put 0.2, z, i in descending order. i, 0.2, z Let z(s) = -s**2 - 4*s - 3. Let y be z(-3). Suppose 0 = -2*i + 3*u - 2, -4*u - 2 = -5*i - y*u. Suppose i*g + 0*g = 0. Sort -0.2, g, 3/4 in descending order. 3/4, g, -0.2 Let t(p) = p**3 - 9*p**2 + 8*p - 4. Let v be t(8). Sort -9, 0, v in descending order. 0, v, -9 Let l(o) = -o**3 - 7*o**2 - 5*o + 8. Let h be l(-6). Suppose h = p, 2*n - 3*p = 4 - 2. Sort -2, n, -4. -4, -2, n Suppose -2*f + 4 + 6 = 0. Sort -5, f, 2 in increasing order. -5, 2, f Suppose 0*y + 5*y = -25. Sort -4, y, 4 in descending order. 4, -4, y Let n(k) = k**3 + 11*k**2 + k + 16. Let t be n(-11). Put 1, 3, 6, t in increasing order. 1, 3, t, 6 Suppose h + 4*q = -0*q + 2, 4*h = 2*q + 8. Let y = 0.8 + 0.2. Sort h, -3, y in decreasing order. h, y, -3 Let r = 3 + -1. Let a(d) = -d**2 - 4*d + 1. Let g be a(-4). Let p = -3 - g. Put p, 5, r in descending order. 5, r, p Let v = 106 + -106. Let h be (-2)/(-9) - 43/(-9). Suppose -4*z + 25 = -h*b, -5*b + 4*z = z + 25. Put v, b, 1 in increasing order. b, v, 1 Let s = 16 - 20. Let y(q) = -2*q - 1. Let k be y(1). Put -1, k, s in ascending order. s, k, -1 Let s be 3/(-10)*(-5)/12. Let o = -23.1 - -22. Let v = 1.3 + o. Sort s, v, 2/7 in increasing order. s, v, 2/7 Suppose m - 26 = 4*w, -5*w = -4*m - 0*w + 49. Suppose -2*u - 2*u = -12. Let a be (0 + 0)*(-2)/(-4). Put a, m, u in ascending order. a, u, m Let x = -9 + 6. Let k = 8 - 6. Let c be 5*-1*k/2. Sort -2, c, x in ascending order. c, x, -2 Let r be 6/21 + (-38)/(-14). Let o be (28/(-8) + 3)*0. Sort r, o, -5 in descending order. r, o, -5 Let d be (-140)/30 - (-1)/(-3). Suppose 0 = i - 2*i + 1. Suppose -r - u = u + 2, -2*r = -2*u + 4. Sort r, i, d in increasing order. d, r, i Let n = -48 - -50. Let j = -11 - -8. Sort -5, j, n. -5, j, n Let k(m) = -m - 15. Let g be k(-12). Let d be (0 + g/(-66))*4. Let y = -8 - -4. Put y, 3/5, d in ascending order. y, d, 3/5 Let o = -1157 - -1162.01. Let m = -0.01 + o. Let x = m - 4.5. Put 2, x, -5 in increasing order. -5, x, 2 Suppose -5*m + 6 = -4*v - 3*m, 0 = -5*v + 3*m - 7. Sort -1, v, 4 in decreasing order. 4, -1, v Suppose 5*a = -5*c + 70, 26 = a - c - c. Let g = -11 + a. Sort 1, -4, g in ascending order. -4, 1, g Suppose 0 = -4*u + 118 - 94. Put -3, u, -2, 2 in descending order. u, 2, -2, -3 Let s be 1 - 2 - 17*-2. Let o be (-6)/s - (-53)/(-11). Let i(u) = 13*u - 62. Let f be i(5). Put f, 1, o in descending order. f, 1, o Let f be (0 + -2)*1/(-3). Suppose 4 = -12*l + 11*l. Sort l, 4/3, f in descending order. 4/3, f, l Suppose 5*c - 4*o - 33 = 0, 3 + 3 = -3*o. Sort 4, c, 30. 4, c, 30 Let p(b) = -b - 8. Let t be p(-12). Sort -4, -1, t in descending order. t, -1, -4 Let b(i) = i**2 - 11*i + 9. Let h be b(10). Suppose 4*l + 5*f = -32, 4*f + 6 = -2*l - 16. Let n = 4 + 1. Sort h, n, l in descending order. n, h, l Let g = 37/57 - -1/57. Let z = 67/38 - 24/19. Put 0.2, z, g in decreasing order. g, z, 0.2 Let c = 64 - 60. Sort c, 1/11, 1/3 in ascending order. 1/11, 1/3, c Let z(y) = -5*y + 1. Let n be z(1). Suppose -5*j = -3*j - 14. Let o(m) = 2*m - 15. Let s be o(j). Put n, s, 1 in ascending order. n, s, 1 Let z be (-2)/(-4) - 9/(-6). Let q(h) = -2*h**2 + h + 1. Let u be q(2). Let g be (-7)/(-21) - (-26)/(-6). Put u, g, z in descending order. z, g, u Let t be 1/(-2) + (-26)/(-28). Let k = -5 + 4.92. Let j = k - 0.02. Put j, 1/2, t in decreasing order. 1/2, t, j Let o be 11/((-11)/(-18)) - 1. Suppose -o = 5*l + 3*q - 6*q, -2*q = 3*l - 5. Sort -6, -5, l. -6, -5, l Let l = 3 - 3.2. Let h = -72 + 72. Let m = h + l. Put -0.3, 6, m in decreasing order. 6, m, -0.3 Let i(q) = q**3 - 4*q**2 + 4*q. Let o be i(3). Suppose 0*x + f = 5*x + 41, 49 = -5*x - f. Let w be ((-2)/4)/(x/(-36)). Sort o, w, 2 in ascending order. w, 2, o Let h = -80 + 80. Sort -21, 0.4, h in descending order. 0.4, h, -21 Let c(z) = -z**3 + 6*z**2 - 13*z + 36. Let h be c(5). Sort 5, -1, h, 4 in decreasing order. 5, 4, -1, h Let i = 54 + -592/11. Sort i, 0.2, 1 in ascending order. i, 0.2, 1 Suppose -6*t + 4 = -38. Suppose t*s + 16 = 4*s - b, -4*b - 14 = 2*s. Sort 4, s, 2. s, 2, 4 Let m = -6.3 - -6. Sort m, -1/4, 0 in descending order. 0, -1/4, m Let s = 0.4 - 0.1. Let b be -3 - ((-70)/(-6))/(-5). Sort b, -4, s in increasing order. -4, b, s Let b(r) = -r**2 + 2*r - 1. Let p be b(3). Let k be (8/(-6) - -2)*-3. Put p, k, -1 in decreasing order. -1, k, p Let h be ((-4)/(-11))/2 - 3066/(-803). Sort h, 0, -30 in descending order. h, 0, -30 Let l(o) = -o**2 + 5*o + 1. Let d be l(4). Sort -2, -13, d in increasing order. -13, -2, d Suppose -q + 5 + 2 = 0. Sort -2, q, -3 in increasing order. -3, -2, q Let f = 111 + -1223/11. Sort 0.05, 0.5,
{ "pile_set_name": "DM Mathematics" }
rd derivative of p(j) wrt j. 40008 Let d(c) = -2*c**5 - c**3 - c + 1. Let z(w) = -1305*w**5 - 5*w**3 + 1267*w + 5. Let a(l) = 5*d(l) - z(l). Find the second derivative of a(k) wrt k. 25900*k**3 Suppose -2*l - 18 = -5*d, -3*d + 4 = -3*l - 5. Find the second derivative of -86*m + l - 9*m**5 - 1 + 35*m**5 wrt m. 520*m**3 Let h be ((-10)/(-6))/((-2)/(-6)). Let x(q) = -174*q + 1046. Let n be x(6). Find the third derivative of -a**2 + 24*a**n + 34*a**h + 0*a**2 - 14*a**5 wrt a. 1200*a**2 Suppose -4*a - 22 = q + 7, 4*q - 20 = a. Let h(v) = 2*v**3 + 17*v**2 + 5*v - 2. Let i be h(a). Differentiate -i - 114*b**3 - 5 + 81*b**3 with respect to b. -99*b**2 Find the third derivative of -12289 + 12289 + 468*j**2 - 262*j**3 - 543*j**3 wrt j. -4830 Let h(d) be the second derivative of -39*d**5/40 + 7*d**4/2 - 11*d**3/6 + d**2 + 129*d. Let b(i) be the second derivative of h(i). Differentiate b(j) wrt j. -117 Let a(l) = 483*l**2 - 5*l - 8789. Let u(i) = -1887*i**2 + 19*i + 35154. Let b(p) = 23*a(p) + 6*u(p). Differentiate b(o) with respect to o. -426*o - 1 Let s(u) be the first derivative of 91*u**6/6 - 2*u**3 - 27*u**2/2 - 733. Find the third derivative of s(v) wrt v. 5460*v**2 Let c(a) = -2770*a**3 + 11*a**2 - 12*a - 39. Let r(g) = -8309*g**3 + 34*g**2 - 32*g - 117. Let i(w) = 8*c(w) - 3*r(w). Find the third derivative of i(v) wrt v. 16602 Let m be (399/(-21))/(-1 - 0 - 0). What is the third derivative of -58*c**2 - 47 + 89*c**2 + 46 + m*c**3 + 62*c**2 - 2*c**4 wrt c? -48*c + 114 Let m be 0*120/480*1*4. Let j(p) be the third derivative of 0 - 23/120*p**6 + m*p + 0*p**4 - 47/6*p**3 + 19*p**2 + 0*p**5. Differentiate j(a) wrt a. -69*a**2 What is the derivative of 1070 + 48*l - 75 + 370*l**3 - 397*l**3 + 137 wrt l? -81*l**2 + 48 Let b(u) = -6898*u**2 + 21*u - 1868. Let m(w) = 3*w**2 - 3*w. Let j(d) = b(d) + 7*m(d). What is the first derivative of j(a) wrt a? -13754*a Let y = 472 + -470. Suppose 0 = -4*h, l + l - 4*h = 4. Find the third derivative of 15*j**6 - 37*j**y + 13*j**2 + 3*j**2 + 6*j**l wrt j. 1800*j**3 Let v = -92 + 98. Find the third derivative of 149*c**v - 525*c - 99*c**2 + 525*c wrt c. 17880*c**3 What is the third derivative of -59*b**5 - 17090 + 421*b**2 - 7*b**4 + 17090 wrt b? -3540*b**2 - 168*b Differentiate 4975 - 39*a**2 - 177*a + 158*a + 15*a**2 wrt a. -48*a - 19 Let o(v) = 14*v**2 + 2*v - 1. Let z(j) = 17*j**2 + 30*j + 6852. Let m(q) = -2*o(q) + z(q). What is the first derivative of m(y) wrt y? -22*y + 26 Suppose -49 - 10 = -h + x, -4*x = -5*h + 293. What is the second derivative of 10*z - 69*z**2 + h*z - 162*z - 149*z**2 wrt z? -436 Let s(i) = 5*i**3 + 40*i**2 + 62*i. Let x(t) = 16*t**3 + 122*t**2 + 187*t - 1. Let a(n) = 19*s(n) - 6*x(n). Find the second derivative of a(j) wrt j. -6*j + 56 Let p be (-579)/9 + 1/12*4. Let d be p/(-36) - (-1)/((-9)/(-2)). Differentiate -5*g**2 + 8*g**2 - 12*g**d - 7*g**2 + 24 wrt g. -32*g Let i(s) be the first derivative of -17/2*s**2 + 136 + 86*s. What is the derivative of i(r) wrt r? -17 Let z(y) = 6*y**2 + 83 - 13*y + 100*y + 10*y + 20*y**2 + 42. Let u(i) = -4*i**2 - 1. Let p(j) = 6*u(j) + z(j). What is the derivative of p(t) wrt t? 4*t + 97 Let i = -43 + 78. Suppose -3*n + 23 = -2*j + j, -5*n + 5*j = -i. What is the third derivative of n*d**2 - 5*d**4 + 6*d**2 - 7*d**4 wrt d? -288*d Let r(v) be the second derivative of 677*v**7/42 - v**6/30 + 134*v**4 - v + 12. Find the third derivative of r(b) wrt b. 40620*b**2 - 24*b What is the second derivative of 2738*k + 8*k**2 - 52*k + 120*k**5 + 1042*k - 437*k - 623*k wrt k? 2400*k**3 + 16 Let h = -83 + 187. What is the first derivative of h*u - 192*u + 91 + 140*u wrt u? 52 Suppose -c + 4 = 1. What is the third derivative of 24*r**c + 6683*r**2 + 15*r**3 - 6686*r**2 + 2*r**4 wrt r? 48*r + 234 Let b(j) be the first derivative of 255*j**5 + j**4/2 + j**3/3 + 3*j**2/2 - 632*j + 4820. Find the third derivative of b(y) wrt y. 30600*y + 12 Let l(s) be the third derivative of -2777*s**7/210 - s**5/30 + 75*s**3 + 19*s**2 + 2*s + 10. Find the third derivative of l(o) wrt o. -66648*o Let a(q) be the first derivative of 377*q**4 - 13*q**3/3 + 46. What is the third derivative of a(k) wrt k? 9048 Let f be 2*-2*9/(-12). Find the third derivative of -72*x**4 + f - 3 - 56*x**4 - x**2 + 4 wrt x. -3072*x Let d(i) = 3*i + 20. Let y be d(14). What is the second derivative of -y*f - f**2 - 507 + 507 - 8*f**3 wrt f? -48*f - 2 Let c be (-6)/8*(-36 + -8). What is the third derivative of -12*k**6 - 50*k**2 - 37*k**2 - 58*k**2 - c*k**2 wrt k? -1440*k**3 Suppose 0 = -p - n - 57, p - 287 = 6*p + 4*n. Let v = p - -69. What is the derivative of 41*x**2 - 2*x**2 - 15*x**2 - 11*x**2 - v wrt x? 26*x Let p(a) be the first derivative of -8*a**3 + 3524*a + 2572. Differentiate p(t) with respect to t. -48*t Suppose 0 = c + 147 - 47. Let f be (-3)/(12/c) - 6/3. Find the second derivative of -21*b**4 + 4*b - 2*b + f*b**4 - 3*b wrt b. 24*b**2 Let w = -712 - -904. What is the second derivative of -11*j**4 - 22*j**4 + 12*j**4 - 2*j**2 + w*j wrt j? -252*j**2 - 4 Let p(h) be the first derivative of 51 - 11/2*h**2 + 0*h**3 + 1/4*h**4 + 8*h. Differentiate p(b) with respect to b. 3*b**2 - 11 Let w(f) be the second derivative of 223*f**7/14 - f**4/3 - 29*f**2 + 227*f. Find the third derivative of w(p) wrt p. 40140*p**2 Let a = 309 + -189. What is the third derivative of a*h**4 - 3 + 2*h**2 - h**3 - 38*h**4 + 31 - 66*h**4 wrt h? 384*h - 6 Let r(h) = 2809*h**2 - 15*h - 4411. Let n(y) = 5619*y**2 - 25*y - 8822. Let s(i) = 3*n(i) - 5*r(i). What is the first derivative of s(q) wrt q? 5624*q What is the first derivative of -197*s + 24*s + 51*s - 3607 - 116*s wrt s? -238 Find the third derivative of 169*q**2 - 22578*q**6 + 215*q**2 + 29*q**4 + 22632*q**6 wrt q. 6480*q**3 + 696*q What is the second derivative of 18 + 18 - 446*k - 33 - 3090*k**5 + 17 + 585*k wrt k? -61800*k**3 Find the first derivative of -7*r**2 - 39 + 5*r**2 - 6*r**2 + 1398 + 525 + 33*r wrt r. -16*r + 33 Let s(t) be the second derivative of -61*t**4/2 + 73*t**3/6 + t**2/2 + 2*t + 70. What is the second derivative of s(a) wrt a? -732 Suppose -2*d - a = -27 - 20, -2*a + 31 = d. Suppose -d = 2*m - 5*i, -i = -3*m - 3*i + 16. What is the derivative of -4 + 4*g**m + 10 + g**2 - 4 wrt g? 10*g Let a = 388 - 381. What is the second derivative of -8*p**3 - 2*p**2 - 1 - 2*p**3 + a*p - 10*p**3 wrt p? -120*p - 4 Let f(o) be the first derivative of -4/3*o**6 + 0*o**4 - 40 + 0*o**3 + 0*o + 51/2*o**2 + 4/5*o**5. Find the second derivative of f(n) wrt n. -160*n**3 + 48*n**2 Differentiate -168*l**3 - 753 + 4*l**4 + 10744*l - 10744*l - 10*l**4 with respect to l. -24*l**3 - 504*l**2 What is the derivative of 421*g**2 + 406*g**2 - 843*g**2 - 1832 wrt g? -32*g Let a(o) be the first derivative of 2821*o**3/3 - 1052*o**2 + 3481. What is the second derivative of a(z) wrt z? 5642 Let s(m) be the second derivative of -2571*m**5/20 + m**4/6 + 2385*m**3/2 - 12187*m. Find the second derivative of s(j) wrt j. -15426*j + 4 Suppose 5*f - 20 = -5. Find the third derivative of -15*v**f - 5*v**3 - 16*v**3 - 64*v**2 + 3*v**3 wrt v. -198 Let q = -93 + 178. What is the second derivative of -84*x**3 + q*x**3 + 16*x + 3*x + 38*x**2 wrt x? 6*x + 76 Let k(j) be the third derivative of -19/60*j**6 + 3*j**2 - 40*j + 0*j**5 + 0*j**3 + 0 - 17/8*j**4. What is the second derivative of k(h) wrt h? -228*h Find the third derivative of 36*k**3 + k**3 + k**2 - 6 - 16*k**3 - 16*k**3 + 174*k - 6*k**3 - 258*k**4 wrt k. -6192*k - 6 Let q(x) be the second derivative of -469*x**7/6 + 391*x**4/6 + x**2 + 43*x - 3. What is the third derivative of q(f) wrt f? -196980*f**2 Let s = -39 - -27. Let r be (-15)/s - 3/(-4). What is the first derivative of 41*u**2 + 14 - 65*u**2 + 33*u**r wrt u? 18*u Suppose 4*j - 231 = -5*w + 48, 210 = 3*j + 3*w. Suppose j = 7*b - 27. Find the second derivative of 5*l**3 + 23*l - 27*l**3 - b*l + 19*l wrt l. -132*l Let p(u) be the first derivative of 643*u**4/2 - 2*u**3/3 + 373*u**2 + 3133. What is the third derivative of p(f) wrt f? 7716 Suppose d + 2 = 2*f + 3*d, 0 = -2*f - d. Let t(n) = 11*n**2 - 1. Let s be t(f). Differentiate s*k + 3*k + 33 + 2*k - 9 with respect to k. 15 What is the derivative of 153*h - 245 + 920*h - 236 - h**2 + 139 wrt h? -2*h + 1073 Suppose 5*t - 89 = -2*c, -3
{ "pile_set_name": "DM Mathematics" }
10101111 (base 2) to base 9 2625 Convert 671 (base 8) to base 3. 121100 -46705 (base 8) to base 4 -10313011 What is 1272 (base 15) in base 9? 5348 Convert -25a (base 11) to base 4. -10303 Convert -1318 (base 13) to base 4. -222211 2231 (base 4) to base 15 b8 620 (base 8) to base 3 112211 Convert 174a (base 11) to base 8. 4270 What is 29a4 (base 11) in base 10? 3865 -100100 (base 2) to base 10 -36 -1011212 (base 3) to base 15 -3c5 Convert 1101000 (base 2) to base 14. 76 Convert -148 (base 9) to base 8. -175 What is -67e (base 15) in base 4? -112331 What is -222100 (base 4) in base 14? -db2 Convert -13233 (base 4) to base 10. -495 What is 1021020 (base 6) in base 2? 1100000101000100 Convert -1960 (base 13) to base 16. -ed4 10111010001 (base 2) to base 16 5d1 Convert 5154 (base 8) to base 5. 41133 110101111110 (base 2) to base 11 2660 What is -1837 (base 9) in base 12? -997 What is -415 (base 6) in base 5? -1110 What is 103221 (base 4) in base 13? 759 110101100101 (base 2) to base 13 173a Convert -222314 (base 5) to base 12. -464a What is -101102110 (base 3) in base 2? -1110110101111 What is 452424 (base 6) in base 9? 57327 -244230 (base 6) to base 3 -1002202100 Convert -315026 (base 7) to base 6. -1100325 -40164 (base 8) to base 6 -204220 What is -3113 (base 4) in base 7? -425 Convert -25a4 (base 14) to base 4. -1213110 3457 (base 11) to base 10 4539 -12222002 (base 3) to base 11 -32a4 438 (base 16) to base 2 10000111000 What is 105404 (base 7) in base 11? 13080 Convert -3200010 (base 4) to base 6. -150220 What is 749a (base 11) in base 2? 10011010110110 What is 10110010101 (base 2) in base 3? 1221221 What is 338 (base 16) in base 11? 68a Convert 21315 (base 6) to base 16. b6f What is -11222 (base 5) in base 14? -420 -2366 (base 10) to base 4 -210332 Convert 518 (base 9) to base 8. 646 Convert 8a04 (base 14) to base 4. 11311230 6b (base 12) to base 6 215 -11120 (base 5) to base 8 -1421 What is 2862 (base 11) in base 15? 1168 3ab (base 16) to base 11 784 Convert -5104 (base 6) to base 10. -1120 -17741 (base 8) to base 15 -2641 110100 (base 2) to base 4 310 Convert 221220101 (base 3) to base 10. 18883 What is -512 (base 6) in base 10? -188 Convert 25442 (base 6) to base 15. 1212 What is 434 (base 9) in base 14? 1b5 Convert -10100100 (base 2) to base 9. -202 Convert 581 (base 9) to base 13. 2aa Convert 11012 (base 5) to base 10. 757 10321 (base 5) to base 2 1011000111 Convert -16c (base 16) to base 7. -1030 Convert 2432 (base 5) to base 3. 111121 -81b (base 13) to base 15 -61b -547 (base 14) to base 5 -13133 Convert -100110001001001 (base 2) to base 8. -46111 -3bd (base 14) to base 7 -2126 2d3e (base 16) to base 2 10110100111110 Convert 504 (base 7) to base 4. 3321 -c6d (base 14) to base 2 -100110010001 Convert -11031 (base 6) to base 4. -113323 3233 (base 6) to base 12 519 Convert -1100 (base 14) to base 11. -2233 Convert 14332 (base 5) to base 7. 3356 What is -23691 (base 11) in base 2? -1000010100110101 29b7 (base 13) to base 6 44025 -10111100001 (base 2) to base 3 -2001202 What is 11001100010 (base 2) in base 3? 2020112 Convert 776 (base 12) to base 4. 101022 Convert 4244 (base 5) to base 16. 23e -6163 (base 8) to base 9 -4331 Convert 48a3 (base 14) to base 10. 12687 What is -2200221 (base 3) in base 2? -11110110001 What is 111001 (base 3) in base 8? 540 What is -1401 (base 6) in base 13? -21a 34 (base 8) to base 2 11100 What is 1363 (base 8) in base 16? 2f3 What is 71 (base 9) in base 2? 1000000 -bd (base 15) to base 14 -ca Convert -1315 (base 7) to base 16. -1f6 Convert -132343 (base 7) to base 14. -90ca -14515 (base 6) to base 13 -10bb Convert -22021 (base 4) to base 12. -461 Convert -45 (base 12) to base 4. -311 What is 4064 (base 13) in base 2? 10001010100110 Convert 1407 (base 10) to base 8. 2577 What is 105 (base 8) in base 7? 126 What is 10a (base 13) in base 7? 344 What is -1422344 (base 5) in base 8? -72034 Convert 1294 (base 11) to base 12. b78 What is 36343 (base 11) in base 4? 30301133 What is 1353 (base 6) in base 7? 1020 -133853 (base 9) to base 7 -456642 Convert 45 (base 13) to base 10. 57 Convert -507 (base 10) to base 5. -4012 What is 27361 (base 8) in base 15? 3862 Convert 21013131 (base 4) to base 5. 2143331 Convert 2210323 (base 4) to base 16. 293b What is -242 (base 10) in base 9? -288 What is -16513 (base 9) in base 12? -66a0 Convert 103423 (base 5) to base 15. 110d Convert 7057 (base 11) to base 8. 22243 What is 10222211 (base 3) in base 5? 43121 What is b602 (base 12) in base 16? 4da2 What is -80 (base 15) in base 5? -440 Convert -1304 (base 5) to base 13. -129 What is -2020002121 (base 3) in base 11? -2aa08 What is 610f (base 16) in base 6? 311011 What is -4811 (base 13) in base 3? -111221002 What is 78 (base 10) in base 13? 60 Convert 2333 (base 9) to base 3. 2101010 -23278 (base 9) to base 16 -3cb6 What is 376 (base 14) in base 6? 3112 Convert -10011111011 (base 2) to base 3. -1202020 208 (base 11) to base 13 163 -53602 (base 7) to base 13 -60b5 What is -13649 (base 10) in base 15? -409e 11000021 (base 3) to base 15 ced Convert 757 (base 13) to base 5. 20010 What is -3410 (base 5) in base 11? -3a7 164350 (base 7) to base 16 7fff Convert 29a (base 11) to base 16. 15f What is 60 (base 12) in base 14? 52 665 (base 10) to base 6 3025 Convert 107c (base 13) to base 3. 10011012 What is 377 (base 15) in base 14? 403 -469 (base 15) to base 14 -515 -456 (base 9) to base 8 -567 What is -1000031 (base 4) in base 11? -30a6 Convert -100111110000 (base 2) to base 10. -2544 2301201 (base 4) to base 15 3576 What is 143a (base 11) in base 12? 10aa 20013 (base 4) to base 11 432 -5a9c (base 13) to base 7 -52221 Convert -4097 (base 10) to base 15. -1332 What is -112120 (base 3) in base 11? -328 What is -8382 (base 12) in base 3? -201200122 1120121 (base 3) to base 2 10001111110 4134 (base 5) to base 11 455 What is 13920 (base 11) in base 7? 111365 What is 20b2 (base 15) in base 7? 26111 What is 1749 (base 10) in base 7? 5046 Convert 69 (base 15) to base 6. 243 32467 (base 8) to base 14 4d71 Convert -222400 (base 5) to base 8. -17252 Convert -8cc3 (base 16) to base 8. -106303 What is -cc22 (base 13) in base 9? -42877 1517 (base 11) to base 13 b74 b412 (base 13) to base 3 1021002200 What is 112211000 (base 3) in base 10? 10800 What is 762 (base 10) in base 11? 633 What is -111130 (base 4) in base 10? -1372 -1ea (base 15) to base 7 -1204 What is 446 (base 10) in base 6? 2022 100011111 (base 2) to base 8 437 Convert -114413 (base 5) to base 8. -10406 4422 (base 5) to base 12 430 What is -21102210 (base 3) in base 14? -1d93 Convert -122101020 (base 3) to base 4. -3011331 What is -422 (base 7) in base 15? -e2 What is 1000001100 (base 2) in base 14? 296 -92b0 (base 15) to base 14 -b418 -1100212 (base 3) to base 8 -1743 What is -21333 (base 4) in base 9? -780 Convert 252 (base 6) to base 7. 206 -d219 (base 16) to base 9 -81701 -202122 (base 3) to base 2 -1000101101 What is -2d0 (base 15) in base 2? -1010000101 -110323 (base 4) to base 13 -7c0 -3301011 (base 4) to base 9 -23143 712 (base 12) to base 7 2660 What is 210212 (base 3) in base 12? 412 Convert 33 (base 9) to base 16. 1e Convert 370 (base 13) to base 7. 1513 Convert -3170 (base 8) to base 13. -9a5 Convert 1b1 (base 16) to base 6. 2001 Convert -11001211 (base 3) to base 5. -43330 Convert 10000110000110 (base 2) to base 8. 20606 What is 498 (base 10) in base 3? 200110 -10122210 (base 3) to base 4 -221223 What is 656b (base 12) in base 10? 11171 Convert 2001332 (base 4) to base 15. 26e8 Convert -25305 (base 7) to base 11. -5013 46c (base 14) to base 2 1101110000 25442 (base 6) to base 16 f02 What is 284 (base 10) in base 3? 101112 What is -10100210012 (base 3) in base 10? -66182 What is 2022101 (base 3) in base 4? 122110 -2146 (base 13) to base 11 -3521 8321 (base 14) to base 4 11200221 Convert 259 (base 14) to base 2. 111010111 Convert 15250 (base 6) to base 10. 2478 Convert -2206 (base 8) to base 6. -5210 What is -10010001111001 (base 2) in base 11? -7019 What is -202 (base 3) in base 15? -15 5071 (base 11) to base 13 30ac What is 847 (base 10) in base 3? 1011101 48616 (base 9) to base 12 16a29 b1 (base 12) to base 13 a3 6286 (base 9) to base 14 1978 88a (base 14) to base 6 11454 Co
{ "pile_set_name": "DM Mathematics" }
2980000000 How many kilograms are there in 592.9111t? 592911.1 What is 77/2 of a second in milliseconds? 38500 How many nanoseconds are there in 9/10 of a microsecond? 900 How many months are there in 12/25 of a millennium? 5760 How many millimeters are there in 22.52474km? 22524740 Convert 227839.65 hours to days. 9493.31875 Convert 526.0623ns to microseconds. 0.5260623 Convert 3.516174km to micrometers. 3516174000 How many weeks are there in 15208421.76ns? 0.0000000251462 What is 61/2 of a litre in millilitres? 30500 What is 75/2 of a year in months? 450 Convert 660527.8um to nanometers. 660527800 What is 728396.1 decades in millennia? 7283.961 What is one quarter of a decade in months? 30 Convert 0.2171617 tonnes to milligrams. 217161700 What is three fifths of a millimeter in micrometers? 600 How many kilograms are there in one quarter of a tonne? 250 How many microseconds are there in 5136.336s? 5136336000 How many micrometers are there in eleven halves of a millimeter? 5500 Convert 21518.841 months to decades. 179.323675 How many minutes are there in 2/15 of a day? 192 What is 6/25 of a meter in centimeters? 24 How many centuries are there in 4.863858 millennia? 48.63858 What is five quarters of a micrometer in nanometers? 1250 What is 0.4844259t in kilograms? 484.4259 Convert 733.1028 millilitres to litres. 0.7331028 What is thirty-three fifths of a century in years? 660 What is two fifteenths of a decade in months? 16 How many kilograms are there in 21/4 of a tonne? 5250 Convert 8235.337 millilitres to litres. 8.235337 Convert 114977.7909s to weeks. 0.19010878125 What is 71/4 of a hour in minutes? 1065 How many nanograms are there in 18/5 of a microgram? 3600 Convert 9.169502 nanograms to milligrams. 0.000009169502 What is seventeen quarters of a meter in centimeters? 425 How many grams are there in 0.5326751 kilograms? 532.6751 Convert 0.5731931 millilitres to litres. 0.0005731931 Convert 1.455971mm to nanometers. 1455971 What is 0.6951943 days in milliseconds? 60064787.52 How many millilitres are there in 3/5 of a litre? 600 How many minutes are there in seven fifteenths of a hour? 28 What is 197006.4 centimeters in nanometers? 1970064000000 What is 7301.557 centuries in decades? 73015.57 What is six fifths of a microsecond in nanoseconds? 1200 What is 25.7133 weeks in milliseconds? 15551403840 What is 0.8824484 millennia in months? 10589.3808 How many millilitres are there in five quarters of a litre? 1250 What is 9467.115 decades in years? 94671.15 How many microseconds are there in 65032.67 days? 5618822688000000 What is 8.923941ml in litres? 0.008923941 What is 31/2 of a tonne in kilograms? 15500 How many millilitres are there in three fifths of a litre? 600 Convert 865.927ug to milligrams. 0.865927 What is 29/5 of a kilogram in grams? 5800 How many milliseconds are there in one quarter of a minute? 15000 How many milliseconds are there in one fifteenth of a minute? 4000 Convert 5.967612 months to years. 0.497301 What is 0.7058619 hours in minutes? 42.351714 How many years are there in fifty-two fifths of a decade? 104 How many years are there in 18/5 of a decade? 36 How many decades are there in 3/25 of a millennium? 12 What is twenty-seven fifths of a millennium in months? 64800 Convert 30378.58 meters to kilometers. 30.37858 What is 3/50 of a milligram in nanograms? 60000 How many milligrams are there in 484.8009g? 484800.9 What is 80718.13 litres in millilitres? 80718130 How many meters are there in sixty-seven quarters of a kilometer? 16750 How many decades are there in 26/5 of a millennium? 520 How many decades are there in seventeen halves of a millennium? 850 What is 43/2 of a litre in millilitres? 21500 What is 17/2 of a litre in millilitres? 8500 Convert 3.709307mg to tonnes. 0.000000003709307 What is 25/2 of a century in decades? 125 What is 3/10 of a meter in millimeters? 300 Convert 62778.26t to kilograms. 62778260 What is fifty-three fifths of a kilometer in meters? 10600 How many grams are there in fifteen quarters of a kilogram? 3750 How many micrograms are there in seven eighths of a milligram? 875 What is 7/2 of a week in minutes? 35280 What is four thirds of a millennium in months? 16000 How many micrograms are there in 1/4 of a milligram? 250 Convert 0.3253764km to centimeters. 32537.64 What is three fifths of a centimeter in millimeters? 6 How many millilitres are there in 71208.88 litres? 71208880 What is 3/5 of a century in months? 720 How many millilitres are there in 158.8925 litres? 158892.5 How many nanoseconds are there in 5/4 of a microsecond? 1250 How many months are there in 6/5 of a millennium? 14400 What is three tenths of a hour in minutes? 18 What is 0.5394367 millilitres in litres? 0.0005394367 How many centuries are there in eighty-one halves of a millennium? 405 How many seconds are there in 1/4 of a hour? 900 What is sixty-one halves of a kilometer in meters? 30500 How many millimeters are there in three tenths of a centimeter? 3 Convert 0.0021815 millennia to centuries. 0.021815 What is 3/10 of a decade in months? 36 What is 45/4 of a microsecond in nanoseconds? 11250 How many micrometers are there in thirteen eighths of a millimeter? 1625 How many nanoseconds are there in one quarter of a microsecond? 250 What is 0.320055s in nanoseconds? 320055000 How many millimeters are there in 8567.6 centimeters? 85676 How many milligrams are there in 552.158kg? 552158000 Convert 20432.65 micrograms to tonnes. 0.00000002043265 How many milligrams are there in 1/5 of a gram? 200 What is 77/2 of a millimeter in micrometers? 38500 What is one quarter of a hour in seconds? 900 What is 7/2 of a litre in millilitres? 3500 What is 0.5681663 decades in millennia? 0.005681663 How many millilitres are there in one fifth of a litre? 200 How many meters are there in twenty-one fifths of a kilometer? 4200 How many micrometers are there in 3/16 of a centimeter? 1875 How many months are there in 53/4 of a year? 159 How many millilitres are there in three fifths of a litre? 600 How many tonnes are there in 31802.93 nanograms? 0.00000000003180293 What is 877.6458ml in litres? 0.8776458 What is 0.7110136 nanometers in centimeters? 0.00000007110136 How many millilitres are there in 6/5 of a litre? 1200 What is 28/3 of a hour in seconds? 33600 How many decades are there in 2.364024 centuries? 23.64024 Convert 39.69951 millilitres to litres. 0.03969951 What is 3068.946mg in micrograms? 3068946 What is 462.498 micrograms in milligrams? 0.462498 What is 3435.27ns in seconds? 0.00000343527 What is 25/8 of a litre in millilitres? 3125 What is 3/5 of a kilometer in meters? 600 Convert 404187.8mg to tonnes. 0.0004041878 What is 13/5 of a microgram in nanograms? 2600 How many kilometers are there in 41.21091 millimeters? 0.00004121091 What is 4273.535l in millilitres? 4273535 Convert 14237.2 millilitres to litres. 14.2372 What is one twentieth of a centimeter in micrometers? 500 Convert 3157.592 weeks to microseconds. 1909711641600000 How many nanoseconds are there in thirty-seven fifths of a microsecond? 7400 What is 5/4 of a tonne in kilograms? 1250 What is 46/5 of a meter in centimeters? 920 Convert 938435.3 decades to years. 9384353 How many litres are there in 0.5665154ml? 0.0005665154 How many millilitres are there in 0.2857633 litres? 285.7633 What is three tenths of a microgram in nanograms? 300 What is 24289.89l in millilitres? 24289890 What is one fifth of a decade in years? 2 What is 1561.368ml in litres? 1.561368 How many decades are there in 13.74297 years? 1.374297 What is 21/4 of a litre in millilitres? 5250 How many months are there in five quarters of a year? 15 How many centimeters are there in 457.2936km? 45729360 Convert 716441.2cm to kilometers. 7.164412 How many milligrams are there in 1/80 of a kilogram? 12500 How many decades are there in 16.03472 centuries? 160.3472 What is 24793.99l in millilitres? 24793990 How many centimeters are there in 1/5 of a kilometer? 20000 How many days are there in 48495.861 seconds? 0.5612946875 How many centuries are there in 594.3201 millennia? 5943.201 How many micrometers are there in three sixteenths of a centimeter? 1875 How many decades are there in 3/10 of a mil
{ "pile_set_name": "DM Mathematics" }
ct the terms in 6*c + 33*c - 374 + 374 - 18*c. 21*c Collect the terms in 205*n**3 - 498*n**3 + 283*n**3. -10*n**3 Collect the terms in 492*b**2 - 2*b + 8405*b**2 - 4*b. 8897*b**2 - 6*b Collect the terms in -42*m + 162 + 39*m - 162. -3*m Collect the terms in -3 + 3 - 506*s + 490*s. -16*s Collect the terms in -81*u - 13*u - 13*u + 114*u - 7*u + u. u Collect the terms in -360*h + 624*h - 211*h. 53*h Collect the terms in 3386*p - 9503*p - 4547*p + 1 + 3. -10664*p + 4 Collect the terms in 2 + 69*w - 218*w + 5 + 74*w + 74*w. -w + 7 Collect the terms in -4241*f**3 + 2136*f**3 + 2102*f**3. -3*f**3 Collect the terms in -418*g**3 - g + 219*g**3 + 197*g**3 + g. -2*g**3 Collect the terms in 116*v**3 - 132 - 53*v**3 - 60*v**3. 3*v**3 - 132 Collect the terms in 1620 - 1620 + 40*m + 20*m. 60*m Collect the terms in -3*y + 538567*y**2 + 3*y - 538531*y**2. 36*y**2 Collect the terms in 111782*f**2 + 111787*f**2 - 335344*f**2 + 111781*f**2. 6*f**2 Collect the terms in 1444885*y + 1444881*y - 2889764*y. 2*y Collect the terms in -320*k**2 + 380*k**2 - 31*k**2 - 27*k**2. 2*k**2 Collect the terms in -196 - 190 + 428*r + 430*r + 386 - 854*r. 4*r Collect the terms in 0*i + 2296*i**2 - 756*i**2 + 0*i - 756*i**2 - 754*i**2. 30*i**2 Collect the terms in 496*v - 725*v - 695*v - 396*v. -1320*v Collect the terms in 7*g + 7*g - 4*g - 4*g + 7*g - 7. 13*g - 7 Collect the terms in 3613 - 3613 + 3762*i. 3762*i Collect the terms in 44330 - 44330 - 100*d. -100*d Collect the terms in -3*c**3 + 5*c**3 - 11*c**2 - 46 + 18*c**2 - 15*c**2. 2*c**3 - 8*c**2 - 46 Collect the terms in 125*l**3 - 255*l**3 - 223*l + 137*l**3 + 223*l. 7*l**3 Collect the terms in -2653*w**3 - 58 + 2674*w**3 + 58. 21*w**3 Collect the terms in 81*r**3 - 3*r**3 - 8*r**3 + 36*r**3 - 5*r**3. 101*r**3 Collect the terms in -84 - 4*n - 65 - 2 - 79. -4*n - 230 Collect the terms in -16*r + 16*r + 43*r**3 + 7*r + 6*r. 43*r**3 + 13*r Collect the terms in -263 + 526 - 43*q**2 - 263. -43*q**2 Collect the terms in -4393*g**2 + 1 - 4767*g**2 - 1. -9160*g**2 Collect the terms in -15 + 9 - 86*m**2 - 29*m**2 + 5. -115*m**2 - 1 Collect the terms in -u - 221*u**2 + 224*u**2 + u + 64*u**3. 64*u**3 + 3*u**2 Collect the terms in 23*j - 232*j + 138*j. -71*j Collect the terms in -69 - 29 + 98 - q**3 - q**2 + q**2. -q**3 Collect the terms in -27*w**3 - 27*w**3 + 71*w**3. 17*w**3 Collect the terms in 104*l**3 + 38*l**3 - 58*l**3 + 180*l**3. 264*l**3 Collect the terms in -8581 + 3*r**3 - 4*r**3 - 8676. -r**3 - 17257 Collect the terms in -46*g**2 + 82*g**2 + 17 - 17 - 7*g**2 - 26*g**2. 3*g**2 Collect the terms in -p**2 - 5*p**2 + 9*p - 10*p**2 + 6*p**2. -10*p**2 + 9*p Collect the terms in 187 - 2*v - 375 + 4*v + 188. 2*v Collect the terms in 1087*v**2 - 1686*v**2 + 601*v**2. 2*v**2 Collect the terms in -16 + 2*k**3 + 33*k**3 - 12*k**3 + 18. 23*k**3 + 2 Collect the terms in 7*p**2 - 3*p**2 + 93*p - 41*p + 2*p**2. 6*p**2 + 52*p Collect the terms in -98*b**2 - 4*b**3 - 98*b**2 + 201*b**2. -4*b**3 + 5*b**2 Collect the terms in -2065*d + 2065*d + 58*d**2 - 56*d**2. 2*d**2 Collect the terms in -126*s + 48*s + 78*s + 10*s**3. 10*s**3 Collect the terms in -191536*k - 7*k**3 + 95770*k + 95766*k. -7*k**3 Collect the terms in -18 + 54 + 37*w**2 - 14 - 24. 37*w**2 - 2 Collect the terms in 43*i**2 + 200 - 3*i**2 - 38*i**2 + 199 + 196 - 595. 2*i**2 Collect the terms in -219*a - 158*a + 372*a. -5*a Collect the terms in f - 322228*f**2 - f + 322277*f**2. 49*f**2 Collect the terms in 80*z + 111*z - 100*z - 20*z. 71*z Collect the terms in -5*f + 0*f**3 + f**3 + 2*f + 8*f - 2*f**2. f**3 - 2*f**2 + 5*f Collect the terms in 1051 - 3165 + 1053 + 1061 - 3*d. -3*d Collect the terms in 34*d**2 + 13*d**2 + 7*d**2 - 6*d**2 + 2*d**2. 50*d**2 Collect the terms in -127*j + 2667 - 2671 - 6*j. -133*j - 4 Collect the terms in 518*n - 26 - 32 + 809*n + 56. 1327*n - 2 Collect the terms in -313*n - 40*n - 41*n + 58*n. -336*n Collect the terms in -26096210*a**2 + 26096210*a**2 + 89*a**3. 89*a**3 Collect the terms in -7 + 334197*y + 7. 334197*y Collect the terms in 37*k**2 - 1 - 91*k**2 - 162*k**2 - 15*k**2. -231*k**2 - 1 Collect the terms in -129 - 5*x**2 + 66 + 4*x**3 + 5*x**2 + 63. 4*x**3 Collect the terms in 4*q**3 + 263 - 795 - 19*q**3 + 268 + 264. -15*q**3 Collect the terms in -6417*k**3 - 2475*k**3 + 1316*k**3. -7576*k**3 Collect the terms in 1736587*s - 1736587*s + 5*s**2. 5*s**2 Collect the terms in -229 - 451 - 4*u - 235 + 915. -4*u Collect the terms in 1755*h + 2 - 3594*h + 1816*h. -23*h + 2 Collect the terms in 70*a + 87*a + 67*a - 34*a. 190*a Collect the terms in -1531*c + 3081*c - 1562*c. -12*c Collect the terms in -3*h - 3*h - 652 - 4*h + 8*h. -2*h - 652 Collect the terms in -1 - 293*m + 1 + 1224*m. 931*m Collect the terms in 80*p - 37*p - 45*p + 17 + 39 - 18. -2*p + 38 Collect the terms in -8*h - 13 - 246*h + 11. -254*h - 2 Collect the terms in -8 + 7 - 309*b**2 + 2 - b**3 - 529*b**2. -b**3 - 838*b**2 + 1 Collect the terms in -101 + 169 - 63 - p**2. -p**2 + 5 Collect the terms in -4 - 131*x + 6 - 26*x - 1 + 194*x. 37*x + 1 Collect the terms in 57915709*m**2 - 57915709*m**2 - 28*m**3. -28*m**3 Collect the terms in 3438*t**2 + 2377*t**2 - 5812*t**2. 3*t**2 Collect the terms in 6363 + 290*g - 12723 + 6360. 290*g Collect the terms in -28853 + 2*v**2 + 14427 + 14426 + 4*v**2. 6*v**2 Collect the terms in 1679*l**2 - 10*l**3 - 1707*l**2 + 8*l**3. -2*l**3 - 28*l**2 Collect the terms in -423 + 864 - 7*i + 2*i - 383 + i**3 + 5*i. i**3 + 58 Collect the terms in -14 - 3 + 312*c**2 - 307*c**2. 5*c**2 - 17 Collect the terms in -14*m**2 - 31*m**2 + 68*m**2. 23*m**2 Collect the terms in -14*l - 167*l + 5*l**3 - 38*l - 7*l**3. -2*l**3 - 219*l Collect the terms in -29*x - 1116*x**3 + 17*x + 12*x. -1116*x**3 Collect the terms in -837*a**2 + 16*a**3 - 844*a**2 + 1695*a**2. 16*a**3 + 14*a**2 Collect the terms in -692 - 4502*c**2 + 692. -4502*c**2 Collect the terms in 173*r**2 + 174*r**2 - 350*r**2. -3*r**2 Collect the terms in 10*k**2 - 7 - k**2 + 4 + 5 + 7*k**3. 7*k**3 + 9*k**2 + 2 Collect the terms in -3685 + 3685 + 4684*g. 4684*g Collect the terms in 26*f**2 - f**2 - 73*f**2 - 2*f**2. -50*f**2 Collect the terms in -64*k - 67*k - 65*k + 4*k**2 + 196*k. 4*k**2 Collect the terms in -920057099*n + 920057099*n + 6*n**3. 6*n**3 Collect the terms in 220*p + 1 + 3 + 6 - 23 + 10. 220*p - 3 Collect the terms in -4657 - 7*k**2 - 236 - 1085. -7*k**2 - 5978 Collect the terms in 2813*a + 2295*a + 5576*a. 10684*a Collect the terms in -7957*d**3 - d - d + 5336*d**3 + 2*d. -2621*d**3 Collect the terms in 214039*o - 60335*o + 240497*o. 394201*o Collect the terms in 59 - 213 + 62 + 92 + 5*x. 5*x Collect the terms in 1420 - 2664 + 1244 - 9*z**3. -9*z**3 Collect the terms in -3*m**2 + m**2 + 159*m + 157*m + m**2 - 316*m. -m**2 Collect the terms in -566*g - 524*g - 393*g + 1680*g. 197*g Collect the terms in -1 - 84*o + 1 - 751*o. -835*o Collect the terms in -133*f - 86*f - 6*f + 28*f. -197*f Collect the terms in 2768*i**2 - 1553*i**2 - 1210*i**2. 5*i**2 Collect the terms in -418*q**3 + 821*q**3 - 351*q**3. 52*q**3 Collect the terms in -99 - 2*l - 112 - 50 - 236. -2*l - 497 Collect the terms in -y**2 - 11*y**2 + 62*y**2 - 22*y**2. 28*y**2 Collect the terms in 4*x**2 - 6*x**2 + 5*x**2 - 142*x**3 - 3*x**2 + 137*x**3. -5*x**3 Collect the terms in 10 + 37 + 9*b + 30 - 77. 9*b Collect the terms in 278*w + 278*w - 1097*w + 272*w + 267*w. -2*w Collect the terms in -2 - 123*t + 255*t - 115*t. 17*t - 2 Collect the terms in -38672 - 31472 - 2*d**3 + 3*d**3. d**3 - 70144 Collect the terms in -1 - 637*m**2 + 1 + 4111*m**2. 3474*m**2 Collect the terms in -316*c**3 - 3100*c**3 - 38*c**3. -3454*c**3 Collect the terms in 39 - 2*c**2 - 117 + 49 + 29. -2*c**2 Collect the terms in 46*k**2 - k - 46*k**2 + 440 + 3*k**3. 3*k**3 - k + 440 Collect the terms in 110830*y**2 - 55418*y**2 - 55414*y**2. -2*y**2 Collect the terms in -2*q + 172*q**2 - 2*q**3 + 1 - q - 3. -2*q**3 + 172*q**2 - 3*q - 2 Collect the terms in s**2 + 1 - 5330*s + 5403*s - 1. s**2 + 73*s Collect the terms in 5 + 5 - 21*h + 22*h + 0 - 10. h Collect the terms in 83008 - 4*w - 83008 + 9*w. 5*w Collect the terms in 899*v + 15245*v**2 - 899*v. 15245*v**2 Collect the terms in -224*s + 76 + 33*s**2 + 224*s. 33*s**2 + 76 Collect the terms in 8*g + g**2 + 8*g -
{ "pile_set_name": "DM Mathematics" }
derivative of j(u) wrt u. -3384*u**2 - 24*u Let u(z) = -3*z - 19. Let o be u(-12). Find the second derivative of o*g**2 - 31*g**2 - 55*g**2 + 112*g - 22*g**2 wrt g. -182 Let g = 16 - 16. Suppose g = 2*f - 6 + 2. Find the third derivative of -2*s**2 + 2*s**3 - 3*s**f + 3*s**2 wrt s. 12 Let o(h) be the third derivative of h**8/420 + 7*h**5/120 + h**4/4 + 17*h**3/3 + 45*h**2. Let x(i) be the first derivative of o(i). Differentiate x(g) wrt g. 16*g**3 + 7 Let x(a) = -9261*a**2 + 12*a + 9838. Let f(b) = -18521*b**2 + 20*b + 19683. Let s(n) = 3*f(n) - 5*x(n). Differentiate s(i) with respect to i. -18516*i Let p(c) = 72*c**3. Let u be p(1). Suppose 55*b = 43*b + 36. Find the third derivative of -u*x**2 + 3*x**3 + 82*x**2 - 27*x**b - 8*x**3 wrt x. -192 Let n(t) be the second derivative of -68*t**6/5 - 2*t**4/3 - 25*t**3/2 - 2*t**2 - 1581*t. Find the third derivative of n(d) wrt d. -9792*d Let w(c) = 49*c + 201. Let n be w(-4). What is the third derivative of 3 - 79*b**n - 108*b**5 + 4*b**2 - 2*b**2 - 19*b**5 wrt b? -12360*b**2 Let q be -4 - (-1)/(((-4)/(-20))/1). Find the second derivative of -116*u**2 - 2 - 5*u - q - 2 + 53*u**2 wrt u. -126 Let v(m) be the second derivative of -1/2*m**2 + 23/30*m**6 + 1/20*m**5 + 0*m**4 + 0 - 19*m**3 + 47*m. Find the second derivative of v(f) wrt f. 276*f**2 + 6*f Let q(z) = 10831*z**3 - 9099*z**2 + 51*z. Let m(b) = 3611*b**3 - 3037*b**2 + 18*b. Let a(c) = -17*m(c) + 6*q(c). Find the third derivative of a(s) wrt s. 21594 Let f(w) be the first derivative of w**3/3 + 1789*w**2/2 + 8066*w + 8699. What is the derivative of f(c) wrt c? 2*c + 1789 Let i(a) = -a - 7. Let m be i(-9). Let f be 6*(m/4 - (0 - 0)). Find the first derivative of 22*j**f + 8517*j - 8517*j - 5 wrt j. 66*j**2 Suppose 0 = -11*q + 6*q + 20. Suppose 3 - 1 = -q*p - 5*x, -3*x - 2 = 2*p. What is the third derivative of -5*n**2 - 7*n**p - 3*n**6 + 4*n**6 + 2*n**6 wrt n? 360*n**3 Suppose 25 = 5*n + 10. What is the derivative of -13 - 15 - 32 + 6*f - 7*f**n + 35 wrt f? -21*f**2 + 6 Let z(q) = -2733*q**2 + 754*q + 27. Let h(d) = 3416*d**2 - 942*d - 33. Let w(i) = -9*h(i) - 11*z(i). What is the second derivative of w(u) wrt u? -1362 Let d(l) be the third derivative of -31*l**9/126 + 353*l**5/30 - 868*l**2. Find the third derivative of d(v) wrt v. -14880*v**3 Let g(v) be the second derivative of -491*v**6/6 - 2*v**3/3 + 61*v**2/2 - 32*v + 20. Find the second derivative of g(d) wrt d. -29460*d**2 Let n = -19599 - -19602. Let t(x) be the first derivative of -1 + 0*x**n + 0*x**2 + 33/4*x**4 - 30*x. What is the derivative of t(z) wrt z? 99*z**2 Let q = 186 + -183. What is the second derivative of -60*l + 532*l**3 + 538*l**3 - 1062*l**q wrt l? 48*l Suppose 4*r + 2*a - 69768 + 12968 = 0, 4*r - a - 56800 = 0. Differentiate -14116 + r - 98*u**2 + 92*u**2 + 247*u**2 with respect to u. 482*u Let l(d) = -229*d**2 - 857. Let k(g) = -215*g**2 - 859. Let u(h) = -6*k(h) + 7*l(h). What is the first derivative of u(q) wrt q? -626*q Let t(h) be the first derivative of 31*h**6/15 - 55*h**2/2 + 27*h + 27. Let x(d) be the first derivative of t(d). Differentiate x(i) wrt i. 248*i**3 Let n(o) = -3*o + 36. Let s be n(11). Let z(p) = p - 1. Let h be z(s). Find the second derivative of -4*f**h + 5*f**2 - 14*f + 2*f**2 + 4*f**2 wrt f. 14 Suppose -2*w + 548 = 3*v, 2*v = -2*v + 5*w + 700. Differentiate 90*s + 87*s - v*s + 273 wrt s. -3 Let c be (0/(-2))/((-16)/(-4) + -7). Suppose -2*u - 6 = c, -k - 2*u = 6 - 2. Find the third derivative of -8*v**2 + 51*v**2 + 8*v**3 - 12*v**k wrt v. 48 Let r(o) be the second derivative of -160*o**7/21 + 61*o**4/12 + 16*o**2 + 1065*o. What is the third derivative of r(g) wrt g? -19200*g**2 Let m(k) = 2*k**2 + 1. Let f(a) = -1412*a**2 - 263*a + 4. Let r(q) = -f(q) + 6*m(q). What is the second derivative of r(o) wrt o? 2848 Let z(q) be the first derivative of 0*q**2 - 26 - 47/3*q**3 + 34*q**4 + 0*q. What is the third derivative of z(k) wrt k? 816 Let i(a) be the second derivative of 12*a**2 + 0*a**4 + 0 + 0*a**5 + 0*a**3 + 96*a - 3/2*a**6. What is the first derivative of i(z) wrt z? -180*z**3 Let k = 626 + -568. Find the first derivative of 165 - t**3 - 23 + k + 37*t**2 + 10 - 3*t**2 wrt t. -3*t**2 + 68*t Find the second derivative of 0*p**2 + 4*p**2 - 579*p - 45*p**3 - 3536*p + p**2 + 58*p**3 wrt p. 78*p + 10 What is the second derivative of -11*o**3 - 516*o - 338*o**3 + 22*o**3 - 2*o**5 wrt o? -40*o**3 - 1962*o Let x(t) = -t**3 - 8*t**2 - 1. Let s(h) = -510*h**3 + 32*h**2 - 2537. Let k(q) = -s(q) - 4*x(q). What is the first derivative of k(y) wrt y? 1542*y**2 Let t = -491 + 496. Find the third derivative of 397*d**5 - 2*d**3 - 2*d**2 + 4*d**2 + 398*d**5 - 54*d - 804*d**t wrt d. -540*d**2 - 12 Suppose 5*r - 45 = -10*r. Find the second derivative of -20*w + 27*w**2 + 18*w - r*w**4 - 20*w**2 + 202 wrt w. -36*w**2 + 14 Let y(f) be the second derivative of 0*f**2 - 332*f + 0*f**3 + 0 + 2/15*f**6 + 15/4*f**4 + 3/20*f**5. What is the third derivative of y(n) wrt n? 96*n + 18 Suppose 0 = -24*o - 4*o + 364. What is the third derivative of 33*y - 12*y - 10*y - o*y - 85*y**3 - 52*y**2 wrt y? -510 Let m be (21/6)/((-28)/(-16)). What is the first derivative of -26*x + 122 - 52*x + m*x wrt x? -76 Let d(n) = n**2 - 12*n - 4. Let m be d(14). What is the third derivative of -21*o**2 + m*o**6 - 9407*o**4 + 9407*o**4 wrt o? 2880*o**3 Let a(u) = 468*u**2 - 1255*u - 8. Let j(r) = -5*r**2 + 2. Let t(v) = -a(v) - 4*j(v). Find the second derivative of t(p) wrt p. -896 What is the third derivative of -2448*w**2 + 1508*w**2 - 4203*w**2 - 3019*w**2 + 9646*w**3 wrt w? 57876 Let i(f) = 0*f - 2*f - 6 + f. Let x(j) = 0 + 4 + 0*j**2 - 5 - j**2 - j. Let r(t) = -i(t) + 6*x(t). What is the second derivative of r(n) wrt n? -12 Let m(q) = 1009*q**4 - 2*q**3 + 6*q + 1486. Let u(p) = 79712*p**4 - 159*p**3 + 477*p + 117395. Let y(v) = -159*m(v) + 2*u(v). Differentiate y(r) wrt r. -4028*r**3 Let x = 116 + -70. Let c = x - 31. What is the second derivative of -p + 5*p**3 - 14*p - c*p + 9*p wrt p? 30*p Let t be (-2)/4 + (1 - 23/2). Let n(o) = o**3 + 12*o**2 + 9*o - 18. Let j be n(t). What is the second derivative of x**j - 18*x - x - 13*x wrt x? 12*x**2 Let w(d) = -17*d**2 - 1352*d - 986. Let j(n) = -13*n**2 - 1351*n - 992. Let s(k) = 4*j(k) - 3*w(k). Differentiate s(b) with respect to b. -2*b - 1348 Let f(t) = -502*t - 8. Let x be f(-38). Find the third derivative of 19068*u**4 - x*u**4 + 18 + 141*u**5 + 2*u**2 wrt u. 8460*u**2 Find the second derivative of 2104*y**2 + 1682*y**2 + 124*y**2 - 9*y - 2*y + 27 - 6*y wrt y. 7820 Suppose -582 - 1178 = -11*s. What is the first derivative of -32*v**3 + s + 151 - 355 wrt v? -96*v**2 Let m(f) be the third derivative of 3853*f**4/24 - 803*f**3 - 103*f**2 - 4*f. What is the derivative of m(j) wrt j? 3853 Let k(f) = -455*f**3 - 4*f**2 - 8*f + 87. Let v(w) = 456*w**3 + 5*w**2 + 10*w - 86. Let p(r) = -5*k(r) - 4*v(r). Find the first derivative of p(j) wrt j. 1353*j**2 Find the first derivative of 2510 - 9569*s + 3748*s + 4161*s wrt s. -1660 Let r(p) = -p**3 - 9*p**2 - p - 15. Let j be r(-4). Let f = j - -95. Find the second derivative of -33*y**f - 13*y + 5*y**4 - 7*y**4 wrt y. -420*y**2 Let k be ((-12)/(-24))/(2/8). Differentiate -82*n**2 + 160*n**2 - 8 - 59*n**k - 4*n**3 wrt n. -12*n**2 + 38*n Suppose 14 - 94 = -4*v. Suppose 5 = 5*x, -j + 103 = 4*j + 3*x. What is the first derivative of j - 34 + 2*d + v wrt d? 2 Suppose 51*j - 30 = 41*j. Differentiate 118*y + 13*y**3 - 115*y + j*y**3 - 45 wrt y. 48*y**2 + 3 Suppose 6*y = -7*y + 182. What is the second derivative of -4*p**4 - 80*p + 85*p**3 + 2*p**4 - 14*p**2 + y*p**2 wrt p? -24*p**2 + 510*p Let m(c) = 17*c + 1. Let z(p) = 2308*p + 3843. Let o(g) = -2*m(g) + z(g). What is the first derivative of o(j) wrt j? 2274 Let l(j) = j - 9. Let n be l(10). Let v be 0/(n/(-1) + -1). Differentiate v*z**3 + 6*z**3 - 12*z**3 - 19 - 9*z**3 wrt z. -45*z**2 What is the second derivative of 505*j + 74*j + 654*j + 2 + 1039*j**3 + 357*j**3 wrt j? 8376*j Let x(g) be the first derivative of -g**7/7 + 13*g**6/6 - 5*g**4/2 + 2*g**3/3 + g**2/2 - 922*g - 2262. What is the third derivative of x(t) wrt t? -120*t**3 + 780*t**2 - 60 Let n(r) be the second derivative of -71*r**4/4 - r**3/3 - 1160*r**2 + 2448*r. What is the second derivati
{ "pile_set_name": "DM Mathematics" }
4 + -7 -3 Calculate (-1 - -2 - 2) + -2 + 2. -1 What is the value of 0 - (-4 + 3 - -2)? -1 What is the value of -3 + (-3 - -5) - -3? 2 0 + 6 - (29 - 27) 4 What is the value of 1 - (0 - (4 + -1) - -6)? -2 -12 - (8 + -16 + -5) 1 What is the value of (-3 - 2) + (4 - 8) + 5? -4 What is -4 + (1 - 0 - 1) + 3? -1 18 + -18 - (-6 + 1) 5 What is 4 - ((-5 + 3 - -5) + -1)? 2 -3 + (-1 - -3 - -4) 3 Calculate -4 + (2 - 4) - -2 - 0. -4 What is (-140 - -143) + (-2 + -6 - 1)? -6 1 + (10 - -1) + -7 5 What is the value of (8 - (10 - 11)) + -7? 2 What is (10 - 22) + 3 - -6? -3 (4 + 0 - 13) + 15 6 Calculate 3 - (9 - (-7 + 3 + 12)). 2 8 - (5 - -6 - -1) -4 What is (3 - (4 + -1)) + -3 - -1? -2 What is (-6 - 2) + (4 - 7 - -11)? 0 -1 - (3 + 0 + -2) -2 Evaluate 1 + -5 + -1 - 3. -8 Calculate (0 - 2) + 10 - (12 + -9). 5 What is the value of (10 - (7 - 2)) + -3? 2 Evaluate -11 + 0 - -9 - 1. -3 Calculate -8 - (-5 + 13 + -7 + 0). -9 What is the value of 32 + -24 + (0 - 7)? 1 What is the value of (2 - 10) + 2 - (0 + -5)? -1 What is (-9 - (-27 - -6)) + -12? 0 What is the value of 3 - (1 - (-7 - 0) - 5)? 0 What is 1 - (1 + 2 - -2)? -4 What is (14 - (8 - 3)) + -10? -1 What is (-10 - -16) + 4 + -14 + 6? 2 What is the value of (15 - (-2 + 13)) + (-2 - 9)? -7 What is 2 - (-8 + 9 - 5)? 6 Calculate (17 - 18) + 0 + (0 - -1). 0 What is the value of -3 + 4 + (-5 - -2)? -2 Evaluate 1 - 2 - (-6 + 15 - 5). -5 Evaluate (-9 - -6) + (13 - 3). 7 8 + -6 - (15 - (4 + 3)) -6 Evaluate (2 - 2) + 4 + -3 + 2. 3 What is the value of (0 - -7) + (-8 + -13 - -12)? -2 8 - (-7 + 9) - 13 -7 What is 4 - -1 - (-5 + (-3 - -10))? 3 -5 + 4 + (3 - (-6 - -4)) 4 What is the value of -12 - (-1 + (1 - 6))? -6 Calculate (-1 - -6) + -2 + -10. -7 What is the value of -4 + 1 + 6 + (-5 - 0)? -2 Calculate 1 - (-2 - -9 - 4). -2 What is the value of -5 - (-8 + 13 + -10 + 2)? -2 Evaluate -7 - -16 - (12 - 1). -2 -2 + 0 + -11 + 11 -2 Calculate -4 + 0 + 14 + -2. 8 What is the value of -2 - (3 + 0 - 8)? 3 Evaluate 3 - -1 - (-12 - -5 - -8). 3 Calculate -7 + -14 + 1 + 21. 1 Evaluate -20 + 11 + -4 + -2 + 5. -10 Evaluate 15 + -19 + 2 + -1 + 5. 2 Evaluate 1 - 1 - (-14 + -7 + 15). 6 Calculate (4 - 3 - 1) + -2. -2 Calculate -7 + 1 - ((-7 - -15) + -14). 0 Evaluate 10 + (8 - (-2 + 13)). 7 Evaluate (1 - 1 - -2) + 13 + -16. -1 Calculate -5 - 1 - (-2 - 1) - 2. -5 Evaluate 1 + 5 + -2 + 0. 4 Calculate (-4 - -8 - 0 - 4) + 2. 2 What is 4 + 0 + (1 - 4)? 1 Calculate -5 - (-6 + -1 - -1). 1 What is the value of 5 - (-4 - -6) - (2 + 7)? -6 113 + -112 - (2 - (-3 - -1)) -3 What is -4 + (2 - (-7 - -4))? 1 What is -6 + (1 - (1 - 5))? -1 Calculate 4 + (5 - (6 - -6)). -3 What is the value of -12 - -16 - (-1 + 9)? -4 Calculate 3 + -4 - 4 - 1. -6 What is -7 + -1 - (2 + (1 - 6))? -5 5 + -1 + -9 + (5 - 3) -3 Calculate 2 - (8 + (-1 - -2) + -2). -5 8 - (7 + -4) - (1 + -2) 6 (-2 - (-1 + 4)) + (41 - 35) 1 Calculate 8 + 5 + 1 + -11. 3 Evaluate 3 + 1 + -4 - -1. 1 Evaluate 10 + -12 + 3 + -1. 0 Evaluate (-7 + 2 - 0) + (-4 - -12). 3 What is the value of 1 - (-11 + 8) - 9? -5 Calculate -6 - (-3 - (4 - 1 - 3)). -3 Calculate -9 + 4 + 10 + -4. 1 Calculate 28 - 22 - (0 - -12). -6 What is (-3 - -6) + -1 - -2? 4 Evaluate -4 + (-5 - -6 - -8). 5 What is 4 - 2 - 1 - -1 - -2? 4 -1 - -7 - (79 - 72) -1 What is -15 + 11 - (-2 + 0)? -2 What is the value of -7 + 13 + (-7 - -1)? 0 (-9 - -1) + (13 - 3) + 5 7 9 + -1 - 2 - 9 -3 Evaluate -2 + 1 + 26 + -23. 2 What is -1 - 3 - (-11 - -9)? -2 Calculate -13 + 10 + (-3 - -6). 0 What is (0 - -3) + -16 + 13? 0 Calculate -3 + (3 - (7 + 2)). -9 Calculate -2 + -1 + 11 + (-4 - 0). 4 What is the value of 1 + (1 - (13 + -2)) - -2? -7 -1 - (-3 + 10 + (-5 - 0)) -3 13 - (3 + 10 + -5) 5 What is -10 - ((11 - 15) + (1 - 0))? -7 What is -4 - (-6 + 5 + -3)? 0 What is the value of (-8 - -15) + 1 + -11? -3 Calculate (2 - (9 - 4)) + 2. -1 What is 5 - (-3 + (4 - -2) + -4)? 6 What is the value of -17 + 20 + (1 - 1) + -6? -3 -7 - (-8 - -9 - 9) 1 What is the value of -2 + ((-7 - 1) + 5 - -7)? 2 Calculate -1 + 11 + -5 - 1. 4 3 + -5 + (3 - -3) + -2 2 Calculate (5 - 11 - -2) + (-1 - -12). 7 What is -15 + (-3 + -2 - -13)? -7 Evaluate (-2 - -1) + 0 + (-4 - -4). -1 Calculate (0 - -1) + -4 + 1 + -1. -3 Calculate 4 - 1 - (-2 - (2 + -5)). 2 Calculate -6 - -3 - -16 - 4 - 7. 2 Calculate 3 - (1 + (4 - 0)) - -2. 0 Evaluate -2 + (11 + -14 - (0 - 7)). 2 Calculate 0 - -4 - (5 - 0) - 3. -4 What is the value of (2 - (4 + 4)) + 9 + 0? 3 Evaluate -4 + (-2 - (-4 - (1 - 1))). -2 Evaluate -7 + (-3 - -21) - 6. 5 Evaluate 6 + (7 - 14) - (1 + -2). 0 What is -10 - (1 - 10 - 3)? 2 -15 + 8 + -1 + 1 -7 Evaluate (-13 + 6 + -1 - -1) + 5. -2 (3 - (7 + -8)) + 2 + -3 3 What is the value of -5 + 1 + -3 + 17 + -14? -4 What is 3 + (2 - 7 - 3)? -5 What is the value of 1 - (-4 - -6) - 0? -1 5 - (0 + 1 + -1) - 3 2 Evaluate (-9 - 2) + 11 + -3. -3 Calculate -2 - ((-4 - -8) + -6). 0 -12 - (-2 - 4) - (1 - 9) 2 Evaluate -2 + 3 + (-1 - -1). 1 -30 + 3 + 7 + 9 -11 Calculate 1 - (-6 + (4 - 2)). 5 8 - 8 - (2 - -3) -5 What is 7 + -4 - (-6 + 2)? 7 Evaluate 3 + 1 + -5 + 1 + -3. -3 What is the value of 3 + -1 + 2 + -2 + -4? -2 (0 - -2) + 0 - -1 3 3 + (-3 - 0 - -7) + -4 3 Calculate -2 + (0 + 3 - -4). 5 Calculate (1 - 4 - -3) + (0 - 1). -1 Calculate 2 - (7 + -10 + (0 - -1)). 4 Calculate -3 - ((-3 - 3) + 7). -4 Calculate -2 + -10 - (21 - 28). -5 Calculate 2 + -3 - (1 - 1). -1 (-12 - -7) + -9 + 14 + -1 -1 Evaluate 8 + (-2 - 0 - 5). 1 3 - ((4 - 11) + 8) 2 Evaluate -5 + 18 + -21 - -8. 0 Calculate -2 - -2 - (5 - 9 - -5). -1 Calculate -6 - (8 - (16 + 2)). 4 Evaluate 4 - (0 - (6 - 5)). 5 What is -6 + 2 + -4 + 10? 2 Evaluate (-4 - 7) + 4 - -15. 8 What is 9 + -2 + (-10 - -7)? 4 Evaluate (7 - 0) + (0 - 4). 3 Calculate -7 - (0 - (-2 - 1)) - -3. -7 Calculate (3 - (-1 + 1)) + (105 - 106). 2 Evaluate (1 - -3) + -7 + 2. -1 What is 7 + -7 + -7 + 4 + 2? -1 (5 + -1 - (-8 - -9)) + -7 -4 Calculate 3 + -8 + 8 - (4 + -4). 3 What is the value of (0 - -3 - 1) + 12 + -7? 7 Calculate -4 + -1 + (27 - (7 - -10)). 5 16 - (-10 + 17) - 9 0 What is the value of -4 - (-2 + 0) - 3? -5 What is (5 - 4 - 0 - 0) + -2? -1 What is the value of (-10 - -5) + 0 + (5 - 2)? -2 Evaluate 27 - 23 - (2 + 0). 2 What is 3 - 5 - (1 + 1) - -10? 6 Evaluate 45 + -43 - (4 - (2 - 1)). -1 Calculate -5 + 0 + -4 + 8. -1 What is 5 + -7 + 4 + -8? -6 (-9 - -4 - 9) + (1 - -5) -8 -4 + -1 + 6 + 4 + -2 3 Calculate 2 + (0 + 3 - (2 + 5)). -2 Calculate -1 - (6 + -4 + -3). 0 2 - (-2 + -1 - -3) 2 Evaluate -5 + (1 - -7) - (-1 - -3). 1 What is -3 + (7 - (-8 - -6))? 6 What is the value of 2 + 6 - 12 - 1? -5 What is -9 + 8 + (5 - (5 + 4))? -5 Calculate -6 + 6 - (0 - 0). 0 Calculate 4 - (-18 + 7 - -8). 7 -11 + 15 - (2 + 1) 1 What is the value of (0 - 3 - -4) + -1 - 3? -3 Evaluate -2 + 4 - (-2 + 2). 2 What is the value of -4 + (0 - (-4 + 2)) + 6? 4 What is the value of -12 + 1 - (19 + -25)? -5 2 + (-1 - (-1 + -4)) + -4 2 What is the value of (-3 + (2 - -5) - 3) + -2? -1 Calculate -4 + 9 + 0 + -2. 3 Evaluate -3 + (-5 - (-4 - 2)) - 0. -2 2 - (1 + -11 - -11) 1 Evaluate 5 + (-4 - (-1 + (-1 - -3))). 0 Calculate 6 - (-2 + 7 - 2). 3 What is the value of 3 + (-3 - -2) + -6 + 8? 4 Calculate -2 + -1 + -2 + 6. 1 Calculate (-3 - 6 - -9) + -2. -2 What is -7 + (-3 - -11) - -4? 5 Calculate 0 - -3 - (-182 + 190). -5 What is -1 + (-5 - 0) + 2? -4 Evaluate (-8 - -11) + (4 - 6). 1 (3 - 3) + (3 - 5) + 2 0 Evaluate (-61 - -64) + (-1 - -1). 3 What is the value of (15 - (21 - 12)) + 0? 6 What is the value of (-2 - 1) + -5 + 6? -2 Evaluate -4 - (-4 + -3) - -1. 4 Evaluate -4 + (1 + (3 - 4) - -1). -3 Evaluate -2 - (-1 + -2 + 5). -4 (8 - 9 - (-5 + 2)) + -1 1 -1 + -3 + (-1 + 0 - -4) -1 What is 6 + (5 - (2 - -2))? 7 What is -1 + 4 - 3 - -3? 3 What is (0 - (-4 + 0) - 4) + 0? 0 Calculate 0 + -2 + 11 - (54 + -50). 5 What is 2 - 0 - (5 - 7)? 4 (9 - (7 + (4 - 10))) + -1 7 What is (1 - 2) + -2 + (10 - 10)? -3 What is 3 + (3 - (-4 - -7))? 3 -1 + 0 - (-12 - -3) 8 Evaluate -2 + -6 - (-6 + 1). -3 Evaluate (1 - 3) + 6 + 1 + -4. 1 Evaluate 8 - (-8 + 3 + 10). 3 -11 + 2 + 11 + 1 3 6 + (5 - 12 - 4) -5 What is the value of 0 + -1 + 0 + (-3 - -4)? 0 11 + -9 - (-1 + 6) - 0 -3 What is the value of 2 - (3 - 6 - (1 + -1))? 5 What is the value of 0 - -1 - (-8 - -10)? -1 (-5 - -1) + 4 + 4 4 What is the value of (-17 - -9) + (-1 - -9)? 0 3 + 6 + -5
{ "pile_set_name": "DM Mathematics" }
(z) = 19*z**3 - 4 - 5*z**2 - 16*z**3 - 2*z**3. Let x be (-2)/5 + 62/5. Suppose -x = -u - 3*b + 1, 3*u - 15 = -b. What is r(u)? -20 Let f(o) = -631*o**3 + 4*o + 36*o**2 - 5*o - 18 + 633*o**3. Let a be f(-18). Let z(l) = -l**3 - l**2 + l. What is z(a)? 0 Suppose 57*o - 392 = 113*o. Let t(y) = 10*y**2 + 7*y + 14*y**2 - 23*y**2 + 8. Determine t(o). 8 Let m(c) = -c + 12. Suppose -5*s = -3*g - 14, -s - s + 3*g + 2 = 0. Suppose 0 = -2*t - s + 28. Calculate m(t). 0 Let u(d) be the second derivative of -d**3/2 - 27*d**2/2 + 10*d. Let i be u(-7). Let j be (0 + 0)/(i - -9). Let y(z) = -z**3 + z**2 + z - 13. Give y(j). -13 Let v(o) be the third derivative of -1/360*o**6 + 3*o**2 + 1/24*o**5 - 11/6*o**3 + 0 + 0*o + 3/8*o**4. Let r(g) be the first derivative of v(g). Give r(7). -5 Let n(t) be the third derivative of -t**5/4 - t**4/8 + t**3/2 - 1442*t**2. Determine n(1). -15 Let h be (-5 + 1 - -6)/((-4)/(-6)). Let n(b) = -4*b - 4. Let o(v) = -3*v + 16. Let m be o(6). Let w(i) = -5*i - 5. Let t(g) = h*n(g) + m*w(g). Give t(-2). 2 Let j(i) = i**3 - 31*i**2 + 30*i - 11. Let s = -7719 + 7749. What is j(s)? -11 Let q(k) = -167*k - 494. Let m be q(-3). Let z(y) = -3*y + 14. Give z(m). -7 Let f(a) be the first derivative of 1/3*a**3 + 35 - 7*a + 0*a**2 - 1/4*a**4. Determine f(0). -7 Let q(s) = -s**2 - 5*s + 6. Let o(b) = -b. Let g(w) = -o(w) + q(w). Give g(-7). -15 Let d(g) be the first derivative of g**5/15 - g**4/4 + 32*g**3/3 - 11. Let o(c) be the third derivative of d(c). What is o(4)? 26 Let s(r) = -r**2 - 6*r + 6. Suppose 13*y + 1499 - 1421 = 0. Calculate s(y). 6 Let g(r) = -r**3 - 6*r**2 - 6*r - 4. Suppose 0 - 16 = 2*b - 3*s, 2*b + 16 = 4*s. Let u(y) = y**3 + 9*y**2 + y - 11. Let x be u(b). Let v = x - 49. What is g(v)? -12 Let z(b) = b**3 + 7*b**2 + 14*b + 22. Let x(a) = -a**3 + 4*a**2 - 5. Let n be x(2). Suppose 15 = -4*y + 5*h, 0*h = 3*h + n. What is z(y)? 2 Let y = -13342 + 13365. Let c(n) = -3*n + 91. Calculate c(y). 22 Let l(q) be the first derivative of -q**4/4 - 3*q**3 + q + 817. What is l(-9)? 1 Let l(a) = a**3 - 11*a**2 - a + 1. Let d = 393 - 388. Let r = d - -6. Determine l(r). -10 Let l(h) = -3*h**2 + 2*h + 5. Suppose -62*z + 70*z - 32 = 0. Suppose -4 = -0*o - z*o - 2*s, 4*o - 8 = -s. Give l(o). -16 Suppose 12*l = 33*l + 147. Let b(o) be the second derivative of o**3/6 + 13*o**2/2 + 14*o. Calculate b(l). 6 Let r be (-156)/(-234)*(-1 - (1 - 11)). Let l(o) = 12*o - 71. Calculate l(r). 1 Suppose 0 = -4*w, -3*t = 36*w - 35*w - 585. Let s = 189 - t. Let m(f) = f**2 + 2*f + 3. Calculate m(s). 27 Let t(b) = -b**3 - 3*b**2 - 3*b - 2. Let g(o) be the first derivative of -o**2/2 - 2*o - 33. Let l be g(-6). Let d be (1 - (-12)/l) + -7. What is t(d)? 7 Let o(v) = 3*v**3 - 18*v**2 - 18*v + 12. Suppose 0 = 147*h - 26*h - 847. Give o(h). 33 Suppose 7 - 28 = -3*s. Let k(p) = 153*p - 239*p + 8 + 151*p - 64*p. Determine k(s). 15 Let g(k) = 7*k**3 - 17*k**2 - 23*k - 13. Let x(o) = 4*o**3 - 9*o**2 - 12*o - 8. Let p(l) = 3*g(l) - 5*x(l). Give p(6). -53 Let t(c) = -3*c + 10. Suppose -7*i - 120 = -99. Let w(v) = 3*v - 4. Let j(y) = i*w(y) - 2*t(y). Give j(-5). 7 Let v(m) = -20*m. Let w(n) = n - 4. Let f be w(6). Suppose 0 = 3*x + 3*c - 12, 5*x - 22*c - 12 = -23*c. Suppose -f*h = 6, -h - x*h - 8 = u. What is v(u)? -20 Let c(a) = a**2 + 7. Suppose -s + 3 + 7 = r, 2*s - 8 = 0. Suppose 3*q + 4*q + r*q = 0. Determine c(q). 7 Let s(v) = v - 7. Let i be s(0). Let u(o) = o**2 - 3. Let p(n) = n**2 - 4*n + 11. Let x(w) = p(w) - 2*u(w). Calculate x(i). -4 Suppose u + 2*d = -6, -10 = -3*d + 5*d. Let g(p) = 2 - 1696*p + 1692*p - u. Calculate g(-4). 14 Let x(t) = -t**3 - 10*t**2 - 7*t + 3. Let z(c) = 19*c**2 - 111*c - 1. Let d be z(7). Suppose -2*h = 15*h + d. Calculate x(h). -15 Let x(s) = -59*s**3 + 2*s**2 + 3*s - 4. Suppose 26 = 35386*p - 35360*p. Calculate x(p). -58 Let o(b) = -5*b - 7. Let t(w) = w - 1. Let s(g) = o(g) - 2*t(g). Let h(l) = -4*l - 3. Let p(n) = -11*h(n) + 6*s(n). Calculate p(-6). -9 Let o(p) = p**2 + 2*p + 6. Let b(h) = h**3 - 32*h**2 - 36*h + 99. Let g be 42/56 + (-3 - (-141)/4). Let r be b(g). Calculate o(r). 6 Suppose 255*f - 2*l = 259*f + 54, -3*f - 43 = 2*l. Let p(w) = w**2 + 7*w - 46. Calculate p(f). -2 Let z(y) = y + 47*y**2 + 1112*y**2 - 1158*y**2 + 12*y**3. Suppose -m - 5*p + 13 = m, p = 5*m + 8. Give z(m). -12 Let u(t) = t**3 + 12*t**2 + t - 12. Suppose -14*p + 18*p + 20 = 0, 4*p = -3*i + 160. Suppose 2*n = -4*k - 24, 10*k - 12*k = 5*n + i. Give u(n). -24 Suppose -94*c + 105*c - 88 = 0. Let q(h) = -h - c*h - 1 + 0*h + 15*h - 7*h. Give q(-5). 4 Let k = -35 - -47. Suppose -10*y + 32 = -k*y. Let v be -1 + (y - -1)/(-3). Let q(g) = g**3 - 4*g**2 - 2*g + 1. Determine q(v). -7 Let y(p) = -p**3 - 4*p**2 + p + 9. Let f(h) = 4*h**2 + 66*h + 28. Let u be f(-16). Determine y(u). 5 Suppose -2*h - 10 = 5*i, 13*i - 12*i = -5*h + 21. Let a be 1/(-2)*(-4 + 0). Let x(d) = d**2 - 5*d + 3 - 2*d**3 + 5*d**3 - a*d**3. What is x(i)? -25 Let v(i) = 2*i**3 + 3*i**2 - 5*i + 5. Suppose 8*c + 735 = 751. Calculate v(c). 23 Suppose -61*f - 28 = -59*f. Let q be (16/f)/((-236)/(-826)). Let b(m) = -m**3 - 3*m**2 + 5*m + 2. Calculate b(q). -2 Let f = -1245 + 1251. Let z(g) = -3*g + 25. What is z(f)? 7 Let x(k) = 3 + 0 + 205*k - 80*k - 62*k - 60*k. Determine x(-2). -3 Let d(k) = 5*k - 1. Let w = 81 - 67. Suppose 1 = -13*o + w. Calculate d(o). 4 Let o = -113 - -98. Let d = -12 - o. Let s(f) = -5*f**2 + 2*f + 8. Let x(z) = -14*z**2 + 6*z + 23. Let u(p) = -11*s(p) + 4*x(p). Give u(d). 1 Let o(z) = z**3 - 8*z**2 - 6*z + 75. Let t be o(8). Suppose h + t*h = 168. Let q(a) = -a**2 + 3*a - 6. Determine q(h). -24 Let d(y) = -40*y**3 - 2*y + 3. Let u = -223 - -215. Let g(x) = -13*x**3 - x + 1. Let o(s) = u*g(s) + 3*d(s). What is o(-1)? 15 Suppose -109*d - 7 = -106*d + 11. Let m(o) = -28*o - 16. Let y(v) = -9*v - 5. Let b(k) = 5*m(k) - 16*y(k). Give b(d). -24 Suppose 5*m = -2*v - 13, 0 = -v - 12*m + 9*m - 8. Let g(b) = -83*b**3 + 2*b**2 - 2*b + 1. What is g(v)? -82 Let j(f) be the first derivative of -f**3/3 + 5*f**2/2 + 2*f + 163. Let d(y) = y**2 - 2*y - 4. Let x be d(4). Let t be (-448)/(-72) - x/18. What is j(t)? -4 Let d(j) be the first derivative of j**3/3 - 11*j**2/2 + 19*j + 3278. Determine d(6). -11 Let d be ((-2)/2)/(-5 + (-24)/(-5)). Let f(g) be the third derivative of g**4/6 - 7*g**3/6 + 3*g**2 + 549*g. Give f(d). 13 Let d = -71 + 74. Let t(k) = -d - 2 + 2 + 2*k - 1. Calculate t(-3). -10 Let p(n) = n**3 - 9*n**2 + 8*n - 7. Let z be 7/(42/(-12)) - -236. Let h = 242 - z. Calculate p(h). -7 Let c(k) = -k**3 - 18*k**2 - 11*k + 11. Suppose 9231 = 313*w - 856*w. What is c(w)? -91 Suppose -54*w + 41*w = -91. Let y(j) = j**2 - 8*j. Let m(f) = 2*f**3 + f**2 - f - 1. Let v be m(-1). Let t(z) = 1. Let i(h) = v*y(h) - 4*t(h). What is i(w)? 3 Let y = -10297 + 10305. Let b(z) = -8*z + 65. Determine b(y). 1 Suppose 19 = 5*j + 3*w, 10*j = 8*j + 4*w - 8. Let y(t) = 1 + 14*t**j - 808*t + 402*t + 405*t. Calculate y(1). 14 Let m be ((-16)/(-8) - 13) + 3. Let u be m - 3 - 4 - (-30)/5. Let p(n) = -n**3 - 8*n**2 + 8*n - 12. Give p(u). -3 Let i(a) = -2*a**3 + 5*a**2 - 2*a + 15. Suppose -503*z = -536*z + 99. What is i(z)? 0 Let a(l) = l**3 + 5*l**2 - 5*l + 4. Let p be (-7)/(28/152) - 2. Suppose -46 = q + 5*x - 5, 5*x + 225 = -5*q. Let w = q - p. Calculate a(w). -2 Let h(z) = -3*z + 1. Suppose 8*f - 13*f + m + 27 = 0, -2*f = m - 8. Suppose -f*j - 103 + 93 = 0. What is h(j)? 7 Let y(p) = 5*p + 29. Let k(z) = 39*z**2 - 340*z - 18. Let l(m) = 10*m**2 - 85*m - 4. Let g(s) = -2*k(s) + 9*l(s). Let t be g(7). Determine y(t). -6 Let q(x) be the second derivative of -x**5/20 - x**4/12 + x**3/3 - 3*x**2/2 - 60*x + 2. Let n be q(0). Let v(p) = -2*p - 4. Calculate v(n). 2 Suppose 0 = 162*o - 885 + 303 - 1200. Let v(i) = 2*i**2 - 22*i + 14. Determine v(o). 14 Let n(b) = 10 + 2124*b + 2129*b + 2127*b - 6389*b. Calculate n(-2). 28 Let j(f) = 5*f**3 + 11*f**2 + 11*f + 22. Let g(k) = -2*k**3 - 6*k**2 - 5*k - 12. Let d(b) = -9*g(b) - 4*j(b). Determine d(5). 25 Let s(d) be the second derivative of d + 1/6*d**3 + 1/12*d**4 - 2 - d**2. Suppose -4*a + 16 = 4*t - 0*t, 0 = -3*t + 5*a - 20. What is s(t)? -2 Let c(t) be the first derivative of -t**2/2 + 3*t - 3. Suppose -4*f - 6 = -7*f - 3*k, 5*k = 5*f - 50. Give c(f). -3 Let a(r)
{ "pile_set_name": "DM Mathematics" }
sitive. r**(-27149/851) Simplify (r/(r**(-2)/r)*r**4*r*(r/(r*r/(r/(r*r*r/r**1*r))*r))**(-4))**(-21) assuming r is positive. r**(-525) Simplify ((c*c**29)/c)**38*(c*c**(-30)/c)/(c**(2/9)/c) assuming c is positive. c**(9655/9) Simplify (z**1)**(-1/5)*(z**(-3))**(-1/35) assuming z is positive. z**(-4/35) Simplify (f**(-4/5))**(2/29)*(f**(3/8))**(-4/9) assuming f is positive. f**(-193/870) Simplify (h**(-2/7)*h*h)**(-2)/(h**(-8)*h*h/(h**(9/2)/h)) assuming h is positive. h**(85/14) Simplify j*j**(-3/13)*j**(-22)/j*(j*(j/j**(2/5))/j)**(-31) assuming j is positive. j**(-2654/65) Simplify (t**(-2/3)/t**4*t**(-2)/((t*t**6/t*t*t)/t))**(2/35) assuming t is positive. t**(-82/105) Simplify ((u*u**2*u)/u)**45*u**(-1)*u*u**(-12) assuming u is positive. u**123 Simplify (((a**(-2/9))**(-3/4))**(1/5))**(-3/50) assuming a is positive. a**(-1/500) Simplify (m**(2/45)/m)**21*m**(-16)*m/m**(23/2) assuming m is positive. m**(-1397/30) Simplify (((d/(d/d**6))/(d**(-1/6)/d))**(-2/45))**(-10) assuming d is positive. d**(86/27) Simplify (i**(-2))**1*(i*(i/(i**(1/4)/i*i*i)*i)/i)**(-1/24) assuming i is positive. i**(-65/32) Simplify ((p*p**(-2/5)*p)/(p/p**(-10/7)))/((p/(p*p**(3/2)))/(p*p*p/(p/(p**(-8/7)*p)))) assuming p is positive. p**(177/70) Simplify (r/(r*r**8)*r**(3/2)*r*r)/(r/(r/(r**(-4)/r)))**(12/11) assuming r is positive. r**(21/22) Simplify (c**(-1/9))**(-20/7)/(c**(2/3)*c)**(4/17) assuming c is positive. c**(-80/1071) Simplify (y/y**0*(y*y**(-12))/y)/(y**0/(y/y**1)) assuming y is positive. y**(-11) Simplify (((w**1)**42)**(5/2))**(-1/12) assuming w is positive. w**(-35/4) Simplify o**(-1/20)*o**(-4)*o**14*o**(1/29) assuming o is positive. o**(5791/580) Simplify (v**12*v*v**(-1)*((v/(v/v**(1/4)))/v)**(6/23))**(-19) assuming v is positive. v**(-10317/46) Simplify ((g**(-21/5)/g)/(g**(21/4)/g))/(g/(g/((g*g/(g*(g*g**(-3))/g*g*g))/g)*g))**(1/19) assuming g is positive. g**(-189/20) Simplify (x*x**12)/(x*x**12)*(x**11/x)/((x*x*x*x**4)/x*x*x*x) assuming x is positive. x Simplify q**(-11)*q**(-9)/q*q*q**(3/13)/q**3 assuming q is positive. q**(-296/13) Simplify l**4*l/(l*l**6)*(l*l**(-10/7))/(l*l/l**11*l) assuming l is positive. l**(39/7) Simplify ((j/(j/((j*j/(j*j**25*j)*j)/j)))/j**(-12))/(j*j**(-25/2))**(-39) assuming j is positive. j**(-923/2) Simplify ((u**(-1/5)/(u**(4/11)*u))/((u*u**(-2/3))/u*u)**(-2/11))**8 assuming u is positive. u**(-1984/165) Simplify q**(-7)*q*q**(-1/2)*((q*q**(-2/5)*q)/q)**(-16) assuming q is positive. q**(-161/10) Simplify (l**(1/2)*l*l**(-1/8)*l**(-7)/(l/l**6))**(-7) assuming l is positive. l**(35/8) Simplify ((l**(4/9)*l)/((l*(l/(l**(-7)/l))/l*l*l)/l)*l*(l/l**(-6/5))/l*l**(7/3))**(1/17) assuming l is positive. l**(-181/765) Simplify ((g*((((g/(g*g**(-4/5)*g)*g)/g)/g)/g)/g*g)/g**(1/3)*(g**(-1))**(-5/9))**(7/3) assuming g is positive. g**(-308/135) Simplify (q/(q**18/q*q*q)*q)/q*q**(12/5)*(q**(-6)/q)**(-13) assuming q is positive. q**(377/5) Simplify ((v**(-1/3)*v*v*v)/v**(-3))/(v/v**0)**(18/5) assuming v is positive. v**(31/15) Simplify (l**20*(l/l**(-7))/l*l)/(l/l**(-18)*l/l**(2/49)) assuming l is positive. l**(394/49) Simplify (((x/(x/(x/(x*(x/(x/x**(2/5)))/x))))/x)**(3/4)*x*x**(3/11)/x*x**11*x)**(-7) assuming x is positive. x**(-9219/110) Simplify ((s/s**(1/31))/s**(-24))/(s**(-19))**46 assuming s is positive. s**(27868/31) Simplify ((p/((p**16/p*p)/p))/(p/p**(-10)))/(p**24/p*p**14) assuming p is positive. p**(-62) Simplify ((j/(j/(j**(-6)/j)))/j*j**10*j)**31 assuming j is positive. j**93 Simplify (q*q**(19/2)*q*q*q)/q**(-5/4)*(q/(q*q**6))/(q*q/(((q/q**(-14))/q)/q)) assuming q is positive. q**(79/4) Simplify n**3*n*((n*n**(1/6))/n)/n*(n**3)**(-41) assuming n is positive. n**(-719/6) Simplify w/(((w/w**(6/5))/w)/w)*w**11/w*(w**13/w)/(w/w**(-2/63)) assuming w is positive. w**(7613/315) Simplify (j/(j/(j/j**6)*j)*j*(((j*j*j**(5/7)*j)/j)/j)/j*j*j)**21 assuming j is positive. j**(-48) Simplify u**5*u*u*u**(-15)*u*u**14/(u/(u*u**(-3))) assuming u is positive. u**4 Simplify (i/(i/(i*(i*i/(i*i**(-5/3)))/i*i)*i)*i*i*((i*i**(-10/11)/i)/i)/i)/(i**21*(i/((i/(i*i/i**(-2/15))*i)/i))/i*i) assuming i is positive. i**(-3527/165) Simplify (r**(-1/27)*r*(r/(((r/((r/(r*r/(r**(6/17)/r)*r))/r*r)*r)/r)/r)*r)/r)/((((r*r/(r*r*r**8*r))/r)/r*r)/r**4) assuming r is positive. r**(6112/459) Simplify ((v**10/v**7)/(v**(-2))**(3/7))**(6/17) assuming v is positive. v**(162/119) Simplify (n*n**2/n)/n**(-2/9)*((n/((n*n*n*n**(-3/5)*n)/n)*n)/n*n)/(n/(n/(n/(n*n**1/n)))) assuming n is positive. n**(82/45) Simplify (m/m**37*m**(1/3))/(m**(-6)/m**(1/25)) assuming m is positive. m**(-2222/75) Simplify (q**2*q)**(-6/11)*(q*q**2*q*q)**(2/9) assuming q is positive. q**(-52/99) Simplify f/f**(-16)*f*f*f**(-1/36)*(f/(f*((f*f**(1/30))/f)/f*f)*f)/f*(f/f**(-23))/f assuming f is positive. f**(7549/180) Simplify ((q*q**(-6/13)/q)/q**(-3))/(q**(2/5))**(-4/7) assuming q is positive. q**(1259/455) Simplify (((c/(c/c**12))/c*c)**(-2/31))**(-13) assuming c is positive. c**(312/31) Simplify (o**16*o/(o*o**(-3/4)))/(o/o**(-2/19))**(-49) assuming o is positive. o**(5389/76) Simplify (v*v**(-14))/(v*v**(7/5)/v)*(v*v**(-1))**(3/8) assuming v is positive. v**(-72/5) Simplify (t**(-1/2)*t**(-2/7)*t**(1/4)/(t/(t*t/((t**6*t)/t))*t))**(-21) assuming t is positive. t**(549/4) Simplify (l/(l**1*l))**(-3/14)/(((l/(l/(l**(-5)*l)))/l*l)/l)**37 assuming l is positive. l**(2593/14) Simplify (b**(-1))**(-10)/(b**(-1/6))**(-1) assuming b is positive. b**(59/6) Simplify (a/(a*a**9*a)*a**(-24))**(-4/13) assuming a is positive. a**(136/13) Simplify ((h**3/h**6)/(h**(-2/13)/(h/h**(-1/8))))**(-29) assuming h is positive. h**(5191/104) Simplify (a*a**(-1/11))/(a*a**(-1/8))*(a*a**4*a*a)**48 assuming a is positive. a**(29571/88) Simplify (j**(-6)/(j*j**3)*(j**(-2/7)/j)**39)**45 assuming j is positive. j**(-18945/7) Simplify (i**(-5)*i/((i/(i*i/(i*i/(i*i**(-3)))*i*i*i))/i*i))/((i*i**(-11))/i**14) assuming i is positive. i**20 Simplify ((k*((k*k**(-16))/k*k)/k)/k)**33*k**19/(k/(k*(k*k**(2/5)*k)/k)) assuming k is positive. k**(-2538/5) Simplify ((u**14/u)/(u**(-4/7)*u*u))/((u*u**(-2)*u)/(u*u**(8/9)/u)) assuming u is positive. u**(785/63) Simplify (u*(u*u**(-8))/u*u)/u*u**(5/4)*(u*u**(-2/3))/u**(-7) assuming u is positive. u**(19/12) Simplify l**(-2/3)*l*l**(-9/5)*(l*l**5*l)/l*(l/(l**(-8)*l))/l assuming l is positive. l**(173/15) Simplify ((k*k**(-1/5)/k*k)/k*(k*k*k**30/k*k*k)/k)**(-35) assuming k is positive. k**(-1113) Simplify ((r*r**(-1/2))/r)**(2/159)/(r*r/(r**1*r)*r*r**2*r) assuming r is positive. r**(-637/159) Simplify ((q**(-10))**(18/11))**(-5/9) assuming q is positive. q**(100/11) Simplify ((a**(4/7)*a)/(a*a/a**(-4))*(a**(-2)*a)/a**0)**(2/127) assuming a is positive. a**(-76/889) Simplify i**(-12)*(i**8/i*i)/i*i*i/(i/(i/(i/(i*i**4*i))))*i*i**(-8) assuming i is positive. i**(-5) Simplify (g**(2/15)/g)/g**2*(g*g**8)/(g*(((g/g**6)/g)/g)/g) assuming g is positive. g**(197/15) Simplify (((((u/(u**(2/5)*u))/u)/u)/u*u)/(u/u**(3/8))*u*u*u**(11/5)*u*u*u**2)**(-2/25) assuming u is positive. u**(-207/500) Simplify ((u**(-10/3))**(25/3))**(-5) assuming u is positive. u**(1250/9) Simplify (g**(6/17)/g**(2/3))/(((g/(g/g**2))/g)/g*g**(-4)) assuming g is positive. g**(188/51) Simplify ((b/((b/b**(-5))/b)*b**0)**(-31))**(-43) assuming b is positive. b**(-5332) Simplify f**(-24)/f**(-5)*f*f**1*f*f**(3/4) assuming f is positive. f**(-61/4) Simplify o**(-1/30)/(o/o**(-7))*o/((o**(-2/31)/o)/o)*o/o**(2/11) assuming o is positive. o**(-42461/10230) Simplify (u**16*u/u**(-7/4))/(u*u/u**12)**3 assuming u is positive. u**(195/4) Simplify (n**(5/3)*((n**(-1/9)*n)/n)/n)/(n*n**(-8/5)*n*(n*n**(1/20)/n)/n*n) assuming n is positive. n**(19/180) Simplify (i/(i/i**(-4/7))*i**(1/7))/((i/(i/(i*i**(-3/16)))*i)/(i*i**(1/17))) assuming i is positive. i**(-2251/1904) Simplify l**(-3/13)*(l*l**(4/3)*l*l*l)/l*l**(4/15)*l*l**(1/4)/l assuming l is positive. l**(1201/260) Simplify a/((a/(a/(a**(-1/24)*a*a)*a*a)*a)/a*a)*a*a**14*(a**(-2)/a)/((a**(1/3)*a*a)/a) assuming a is positive. a**(257/24) Simplify (o**4/o*o**(-7)*(o**(-2/17)/o)/(o/o**7))**7 assuming o is positive. o**(105/17) Simplify (((t**(-2/9))**(-3/5))**(-3/13))**(28/3) assuming t is positive. t**(-56/195) Simplify (n/n**(-12)*n*n*((n*n/n**(-2/11))/n)/n)/(n**10*n**(-1/3)) assuming n is positiv
{ "pile_set_name": "DM Mathematics" }
se Is 183460 equal to 183359? False Is -1178149 at most -1178140? True Which is smaller: 251 or 80773? 251 Which is smaller: -392747 or -392746? -392747 Which is smaller: -1 or 64/6344545? -1 Which is smaller: -187867390 or 1? -187867390 Which is bigger: 195335/59 or 3311? 3311 Is 8/13934507 > 1? False Is 87012888 less than or equal to 87012886? False Which is bigger: 46223 or 45998? 46223 Is 81 at most -868049? False Is 1 equal to -2/327638049? False Which is bigger: 5547967 or 5547968? 5547968 Are -1 and 581/152461 non-equal? True Which is smaller: -94134 or -94079? -94134 Is 1/74438443 smaller than 1? True Which is bigger: 96810 or 97452? 97452 Which is bigger: -2208 or -15336? -2208 Which is smaller: 0.1 or 467/338? 0.1 Is 7665.78 greater than -232? True Is 1 > -33465279? True Is 1 not equal to -1/727781242? True Are -774182 and -2322547/3 unequal? True Which is greater: 16 or -20640730? 16 Which is greater: -44/6004975 or -1? -44/6004975 Which is bigger: -9622 or 2422? 2422 Is -1 >= 626/2730069? False Which is greater: 110859 or 6429825/58? 6429825/58 Which is smaller: 30 or 3238/105? 30 Is 2 at most 23321/11632? True Does 138637576 = 138637579? False Is -1 at least as big as 43/157392? False Which is greater: -21/1172345 or -1? -21/1172345 Do -328/7 and -1386 have the same value? False Which is bigger: 298023 or 300524? 300524 Is -1325574 not equal to -1325535? True Is 328494 equal to 328492? False Which is bigger: 22/5 or 0.116288? 22/5 Is -368929 bigger than -368878? False Which is smaller: 27315436 or 81946309/3? 27315436 Which is smaller: 84510 or 82698? 82698 Is -217794/67 at most -3250? True Which is smaller: -7616860 or -7616917? -7616917 Is 53546044 > 53546043? True Which is smaller: -5593/18066 or -1? -1 Which is smaller: -56580 or -3/26? -56580 Is -9646 at least as big as -43179? True Which is smaller: -449/862435 or 1? -449/862435 Is -241801 <= -236446? True Are -1431203 and -1431236 nonequal? True Which is smaller: -0.3 or 14418066.1? -0.3 Which is smaller: 1675756 or 1675787? 1675756 Which is smaller: 72 or 17291.63? 72 Is 0 greater than or equal to 14/67591761? False Is -9242313 at least -9242307? False Does 58.882 = 197? False Which is bigger: 106487/3100 or 33? 106487/3100 Is -1/11292358 > -1? True Which is smaller: 1268.716 or -6? -6 Which is greater: 147 or 71326/485? 71326/485 Which is bigger: 13/3718739 or 0? 13/3718739 Which is greater: 10137/2 or -4526? 10137/2 Which is smaller: -408054 or -408001? -408054 Which is smaller: 1/662349 or 0.17? 1/662349 Is 167/258278 >= 1? False Which is smaller: 64890 or 65124? 64890 Which is bigger: 420342768/13 or 32334058? 420342768/13 Which is greater: -19/5 or -1965052? -19/5 Are -0.04 and 251608536 equal? False Is 14/17 less than 3773368? True Are -116934/239 and -488 unequal? True Is -6/58708807 less than 1? True Are -883 and -66235 nonequal? True Does 1 = 95/7241636? False Are 1 and 13/16890703 non-equal? True Which is greater: 23320 or 18334? 23320 Is -1309984 greater than or equal to -1309968? False Is -89453241 at least -89453242? True Which is smaller: -424106/11209 or -39? -39 Is -110514242 less than -110514242? False Is 23709672 <= 118548366/5? True Is -143913423 smaller than 0.1? True Which is smaller: -293975 or -293981? -293981 Which is greater: -1/53133262 or 1? 1 Which is greater: 200 or 47980? 47980 Are -4808404 and -62509244/13 equal? False Is 3417823581 != 3417823582? True Which is smaller: 0 or -7150/77829? -7150/77829 Which is bigger: -5133 or -0.021? -0.021 Are 8506.4 and 489 nonequal? True Which is bigger: -45 or -6016056? -45 Which is smaller: 100657 or -296? -296 Which is bigger: -5325146 or -3/4? -3/4 Is -249496 != -47? True Which is smaller: -8869568 or -8869570? -8869570 Is 4533583 not equal to 4533582? True Which is smaller: 179125 or 177963? 177963 Which is greater: -0.022 or 27629? 27629 Is 14837658 >= -0.1? True Which is bigger: 45811/205 or 222? 45811/205 Is 1984287/4 at least as big as 496073? False Are -1801944 and -1801941 equal? False Which is greater: -40323259 or -40323260? -40323259 Are -96634 and 2/117 nonequal? True Is -11412 equal to 0.0312? False Which is greater: -1800142 or -1800107? -1800107 Which is smaller: 1428/11 or 304433? 1428/11 Is -20792964 less than -20792964? False Is -271597 >= -271634? True Which is smaller: 207 or 0.00644? 0.00644 Are 41406008 and 41406023 nonequal? True Are 409105 and 409103 unequal? True Which is bigger: -574 or 1.9939? 1.9939 Are -303059738 and -303059738 non-equal? False Which is smaller: 4694 or 286244/61? 286244/61 Is -2910 <= -3087? False Is -1 <= 388/15851? True Which is smaller: -261091/299 or -872? -261091/299 Which is bigger: 26297572 or 26297570? 26297572 Which is bigger: -16466 or -905583/55? -905583/55 Is 10/3989989 greater than or equal to -1? True Is -3448910 at least as big as -3448904? False Which is bigger: -1009368/1939 or -520? -520 Is 10305202 less than 10305203? True Which is bigger: -259882 or -262083? -259882 Which is bigger: 54733 or 54735? 54735 Which is smaller: 15541407 or 15541408? 15541407 Which is smaller: -1/297 or -87.5847? -87.5847 Is -167288458 at least -167288458? True Is 2332717/16 at most 145795? True Is -962/3655 > -1? True Is -9682100/17 > -569535? False Which is greater: 1.32519 or 166/21? 166/21 Which is smaller: -3082080/17 or -181299? -181299 Is 7520980 at least 7521014? False Is -138/84527 at most as big as 1? True Which is smaller: -39061144 or -39061140? -39061144 Which is smaller: 1 or 3353/9257? 3353/9257 Which is bigger: 0 or 116/5479387? 116/5479387 Which is smaller: -1 or 1/329307928? -1 Is 43889593 not equal to 43889594? True Are -3/7313231 and -1 unequal? True Is -10/46641 at most as big as 0? True Which is greater: 3767 or 889? 3767 Is -16507773 smaller than -16507773? False Is -1082.861 < -2/27? True Is -0.48 at least as big as -1120863? True Do -1/8 and -182.08901 have the same value? False Which is smaller: 479339297 or 479339296? 479339296 Which is bigger: -128523334 or -128523327? -128523327 Which is smaller: -1 or -6/705805? -1 Is 0.15229761 less than or equal to 0.4? True Which is smaller: -10 or -16528/1597? -16528/1597 Which is greater: -117 or -35747? -117 Which is smaller: 36881094/31 or 1189712? 1189712 Which is smaller: -73337371/18 or -4074298? -73337371/18 Which is bigger: 2/13142013 or -1? 2/13142013 Is -6513 > -1999416/307? False Which is bigger: 291.2 or 771? 771 Are 1440 and 451/8 non-equal? True Is 1 at least 22/665279? True Which is bigger: 1482 or 1521503/1026? 1521503/1026 Which is bigger: 4258 or 472550/111? 4258 Which is smaller: 79.92 or -3392? -3392 Which is greater: -10 or 0.04305481? 0.04305481 Is 1 smaller than 1/44754690? False Is -3516/316297 at least as big as -1? True Is 239701/46 at least 5210? True Is 2/7 bigger than 1/363006? True Which is bigger: -34.49 or -2264? -34.49 Which is bigger: 6 or 7425/1277? 6 Which is greater: -5006 or -3292? -3292 Is -1 smaller than -86196771? False Is -1678 at least -393235? True Is 26981 at most 26673? False Which is bigger: 16326/103 or -0.22? 16326/103 Which is bigger: -7720373 or -7720365? -7720365 Which is smaller: -0.014233 or -2/9899? -0.014233 Do 1063 and 181898/171 have the same value? False Is -464371 not equal to -0.47? True Are 29/67 and 9469 equal? False Is -1580347 > -1580304? False Which is smaller: 1666 or 5656? 1666 Is 84/17 <= -30.352? False Is -117/385 at least -143? True Is 1 less than -2/10567583? False Which is smaller: -9.792 or -46/63? -9.792 Is 1.24 at most -151824? False Which is smaller: -125841 or -125665? -125841 Is 1626363 < 9758173/6? False Is -849927/197 equal to -4314? False Which is smaller: -0.375651273 or 1? -0.375651273 Which is smaller: -7 or -4085/702? -7 Are -342575 and -41451528/121 nonequal? True Which is greater: -6255/8 or -35130? -6255/8 Which is smaller: 25528877 or 25528876? 25528876 Which is greater: 1 or -21/1116161? 1 Is -94844/1313 < -71? True Do -672/66245 and 0 have different values? True Which is greater: 968 or 19854? 19854 Which is smaller: 29127486/5 or -0.2? -0.2 Are -1 and 1017/4173691 unequal? True Which is greater: -0.03 or -0.09792? -0.03 Which is bigger: 2/56216427 or -1? 2/56216427 Is 2283 smaller than 118995? True
{ "pile_set_name": "DM Mathematics" }
the nearest to o in w, z, -0.5? w Let k be 3 - ((-122)/42)/(3 + -4). What is the closest to -0.1 in 1/3, -12, k? k Suppose 152 - 168 = r. What is the nearest to r in 5, 0.3, 3/2, -1? -1 Let t(s) = 9 - 16*s**2 + 6 - 14*s + 1 - s**3 + 2. Suppose 0 = -5*x, -2*x - 13 + 58 = -3*k. Let p be t(k). Which is the nearest to 0.1? (a) p (b) 1/3 (c) -1/5 b Suppose 0*h + h = -0*h. Let f be 2/(-9) - (-14)/(-18). Which is the nearest to f? (a) 1 (b) 0.3 (c) h c Let p be 1/(-10)*115/(-46). Let q be (-2)/(-6) - 14/24. Which is the closest to 1/3? (a) q (b) -0.5 (c) p c Let p = 53 - 94. Let s = 46 + p. Which is the nearest to s? (a) -4/3 (b) 0.5 (c) 0.4 b Suppose 0 = -5*p + 10, 4*q + 8*p + 4 = 4*p. Let d = -0.15 + 0.05. Let v = d - -0.1. Which is the closest to q? (a) -5 (b) -3 (c) v b Let x be 376/2820*5*-1. Let o = -1.5 - -1. Which is the nearest to -2? (a) x (b) o (c) 0.4 a Let h = 3.33 - 3.45. Which is the closest to h? (a) 0.3 (b) 3 (c) -1 a Let d = 702 + -3508/5. Let u = -18 - -13. What is the closest to d in 0.4, 2, u? 0.4 Let k = -4/3 - -5/3. Let v = 8573 + -8573.03. What is the closest to v in 1, k, 5? k Let g = 15 + -13. Let k = g + -5. Let v = -1 - 0. Which is the closest to v? (a) k (b) 2/3 (c) 2/9 c Let m = -368 + 367. Which is the nearest to -1? (a) 0 (b) -20 (c) m c Let m be (-2 - 4/(-3))*(-6)/16. Let k = -1.7 + -0.3. Let g = 8 + -8.3. Which is the closest to k? (a) m (b) g (c) 4 b Let r = -2010 + 8039/4. Which is the nearest to 0.02? (a) 0.4 (b) 1/3 (c) r c Let c = -605.04 - -605. What is the nearest to 1/3 in c, -0.4, 16? c Let o = 922590658/13737 - 67161. Let h = o - -12665507/96159. Let x = h + -132. What is the nearest to x in 0.5, 1, -6? 0.5 Let i be (39/(-26))/(6/(-8)). Suppose -o - i*v = -25, -5*v + 94 = 3*o + o. Let r = -107/5 + o. What is the nearest to 0.1 in r, 0.1, -1? 0.1 Let o = -1265 - -1264.5. Which is the nearest to 13? (a) -2 (b) -4 (c) -1/5 (d) o c Let h = -0.5 + 0.2. Let z = 1966 - 35401/18. Let a = z - -1/18. What is the nearest to a in -1, -0.1, h? -1 Let o = 49.6 + -50. Let h = 0 + 0.2. Let l = 1.81 - -0.19. What is the closest to 3 in l, h, o? l Let g = 165 + -165.2. Which is the closest to 2? (a) -0.1 (b) g (c) -38 (d) -3 a Let w = -0.1 - -0.3. Suppose -u = 2*i - 12, 3*i - 29 = -4*u + 9. Let x be 4/(-63) + u/28. Which is the closest to 0? (a) x (b) 0.1 (c) w b Suppose 0 = -2*j - 2*j + 5*u - 33, j - 3*u + 10 = 0. Let n be 3 - (4 + 6/j). Which is the nearest to 1? (a) 9 (b) n (c) 1 c Let l = -19 + 24. Let b = 0.002 + -1.002. What is the closest to -1/3 in -3/8, b, l? -3/8 Let w = 0.0177 + -0.7177. Which is the closest to 0.4? (a) 0.3 (b) -7 (c) w a Suppose 5*w + 3 = 3*v + 4*w, v = -4*w - 12. Let h be (2/3)/((-10)/45). Let y be 3*((-52)/12 - h). Which is the nearest to v? (a) -0.2 (b) -2/11 (c) y b Let q(j) = 2*j**2 - 10*j + 7. Let s be q(4). What is the closest to -1/3 in s, -0.2, 21, 2/9? -0.2 Let b be (2/(-8))/((-1)/12). Let g = 0.5 - 0.2. What is the nearest to -0.1 in g, 2/17, b? 2/17 Let l = -437 - -435. What is the closest to 2/11 in 0.5, -3, 0.2, l? 0.2 Let q = 3652/3 - 1217. Which is the nearest to 7? (a) 2 (b) q (c) 0.2 (d) -3 a Let q be 3 + -2 - (-20)/(-12). Let s = 4.6 + -0.6. Which is the nearest to -2? (a) s (b) -3 (c) q b Suppose 0 = -2*k + 3*q - 5, 7*k = 2*k - 5*q + 25. Let u = -3061 + 3056. Which is the closest to -4? (a) u (b) k (c) 3 a Let f = 94 - 657/7. Let x = -89/21 + 32/7. Let o be 20/8*(-9 - 998/(-110)). Which is the closest to x? (a) o (b) -4/7 (c) f a Let y be (1*-3)/(2*(-162)/24). What is the closest to -4 in y, 2/5, -0.21? -0.21 Let p = 7 + -6.7. Let b = -116 - -177. Let h = 61 - b. What is the nearest to -1 in p, -0.4, h? -0.4 Let d be 8/(-36 + -4) + 3/40. Which is the closest to 0.4? (a) -0.3 (b) 0.5 (c) d b Let g(p) = p**2 - 69*p - 619. Let l be g(-8). Suppose t = -2*t - 15. What is the closest to -3/7 in t, 0.1, l? 0.1 Let q = 0.06 - -0.34. Let f = -4.8 - -5.3. Let y be (-12)/2*3/(-63). Which is the closest to y? (a) 3 (b) q (c) f b Let n = 87 - 86.4. Let h = -7 + 5.6. Let t = n - h. Which is the nearest to 2/7? (a) t (b) 3 (c) -1 c Let b = 59.2 - 59.7. What is the nearest to 22 in b, -1/3, 3/5, -0.3? 3/5 Let n be (-104)/306 - (-8)/(-288)*-8. What is the closest to -2/5 in -1, -2/9, n? -2/9 Let v = 1664.2 + -1664. What is the nearest to v in 8, -5, -0.6, -0.2? -0.2 Let l = -31 - -30.5. Let x be (((-9)/3)/12)/(3/(-4)). Let g be (0 - -1)*(-6)/(-9). What is the nearest to -0.1 in g, x, l? l Let q = -0.082 + 0.067. Let a = q - -0.015. What is the closest to 2 in -1, a, -2? a Let f = 926 - 928. Which is the nearest to 0? (a) 3 (b) f (c) -39/5 b Let o = 97 + -90. Let u = -109/30 - 27/10. Let z = o + u. Which is the closest to z? (a) 0.2 (b) 2/7 (c) -2 b Let k be -6 - (605/(-44) + 8). Let m = 2 - 6. Which is the closest to -0.1? (a) 1/4 (b) m (c) k c Let d = 4/3 - 19/12. Suppose -3*b + 2*b - 4 = 0. Let l be (-6)/b*(57/(-27) + 1). What is the nearest to -1 in l, -4, d? l Let z = 0.3 - 0.6. Let v = 3214/603 + 2/603. Let u = 6 - v. Which is the closest to u? (a) 2/5 (b) z (c) -1/3 a Let c = -4457 + 31097/7. Let q = c - -531/35. Let d = 2763/11 + -251. What is the nearest to 0 in d, 2, q? d Let f = -0.0359 + -0.9641. What is the closest to 2/5 in f, 0.1, -3, 1/6? 1/6 Let c = 6.1 + -6. Let r be (219/(-18))/((-35)/(-19)). Let d = 67/10 + r. What is the closest to c in 2, d, -0.5? d Suppose 37*i - 29*i = 72. Which is the closest to i? (a) -0.3 (b) -0.05 (c) -3 b Let q = -10.9 - -11.2. What is the closest to -1/2 in q, -0.2, 2/13, -0.5? -0.5 Let b be (-2)/4*(-4 + 4). What is the closest to -0.4 in b, 5, 6, 4? b Let d = 537 + -526. Let u = 4 - 3.5. Which is the nearest to d? (a) 1 (b) u (c) -0.3 a Let q = 508 + -508.1. Which is the closest to q? (a) -1/4 (b) -0.8 (c) -0.5 (d) -5 a Let m = -23 + 19.1. Let o = m - -1.9. Which is the closest to -1/2? (a) 5 (b) o (c) 0.1 c Let u = 3.63 - 6.63. Which is the closest to 1/2? (a) 0.3 (b) 47 (c) u a Let v(s) = s**2 - 2*s - 64. Let n be v(-7). Let y = 0.07 + -0.37. Let k = 0.04 - -0.06. Which is the closest to n? (a) k (b) 1/5 (c) y c Let d = 0.88 - 0.48. Let q = -63 - -62.8. Which is the closest to -0.04? (a) q (b) d (c) -3/5 a Let q = -14 - -180/13. Let r = 1.7 - -2.3. What is the closest to 2 in -2, q, r? r Let m = 2.634 - 5.634. What is the nearest to 10 in m, 2/105, -1/5? 2/105 Let h(x) = -x**2 - 5*x + 14. Let o be h(-11). Let w be 15/(-4) - o/13. Let g = 0.2 + -0.2. Which is the nearest to 1/2? (a) -2/5 (b) w (c) g b Let k = -223 + 223.1. What is the closest to -0.1 in k, -0.4, 0.03, -1/5? -1/5 Suppose -3*y + 4 = j - 16, 12 = -3*y. Let l be (-44)/j - 3/(-24). Which is the nearest to 0? (a) 0.3 (b) 4 (c) l a Let q = 0.032 - -0.247. Let v = q + 0.021. What is the closest to 3 in v, 5, 0.4? 5 Let b = -2 - -4. Let g be -3*(-1 - b/(-3)). Suppose 4*j = -14*j + 54. What is the nearest to -1 in j, g, -0.5? -0.5 Let z(m) = -m - 5. Let v be z(0). Let h be 5/(-3) - (-2 - -1). Which is the closest to h? (a) 5 (b) v (c) 0.1 c Let s be 1474/(-14) - (-8)/28. Let b be s/(-196) - (-2)/(-8). What is the nearest to b in 0.4, -0.3, 5? 0.4 Let d = -449/1357 + 8/23. Let z = d - 63/236. Let y = 0.5 - 0.3. What is the closest to 0.2 in 1/2, z, y? y Let m be (-52)/16 + 4 + (-98)/152. Let c = 4 + -8. Let g = -8 - -3. What is the closest to 1 in c, g, m? m Let i = -5012.1 - -5012. Let k(h) = h**3 - 5*h**2 - 7*h + 8. Let y be k(6). Which is the nearest to i? (a) 3 (b) -1/4 (c) y b Suppose -68 = 3*r - 71. Let q = -46 + 45.7. Which is the nearest to r? (a) q (b) 2/15 (c) -3 b Let h = 36.41 - 2.41. Which is the nearest to 1? (a) -4 (b) h (c) 2/9 c Let g = 259 - 263. Let y = -3 - 2. Which is the closest to 1/5? (a) g (b) y (c) -0.2 c Let k = -11.1 + -0.9. Let x = -23 - -34. Let v = x + k. What is the closest to 0.1 in 0.3, 4, v? 0.3 Let a be (2 - (1 - -4))*4. Let v be (-2)/(-30) - 1/a*4. What is the nearest to v in -6, 2/11, -5? 2/11 Let z = 864 + -868. Let q = 1 + 0. What is the nearest to z in -0.3, -0.5, q? -0.5 Let g = -295/1212 + -2/303. Which is the nearest to 1? (a) 3 (b) -67 (c) g c Let o = -0.14 + 0.01. Let l = 0.13 + o. Let d = l - -1. Which is th
{ "pile_set_name": "DM Mathematics" }
w(c) + 4*b(c). c**3 + c + 2 Let h be (1 - 7)/(-1) - 0. Let k = h + -4. Let s(a) = a - 3. Let u(z) = 4 - 2 - 4. What is k*s(v) - 3*u(v)? 2*v Suppose 2*n + 2*b = -5 - 5, 2*n + 3*b = -13. Let x(m) = 4*m - 9. Let v(c) = 0*c + 0*c - 2 + c. Calculate n*x(z) + 9*v(z). z Let s(v) = -396*v + 28. Let j(z) = -44*z + 3. Determine 28*j(h) - 3*s(h). -44*h Let q(s) = -s + 1. Let y(u) = -3*u - 5. What is -6*q(p) - y(p)? 9*p - 1 Let n be 0 + (3 - (6 + -1)). Let j(s) be the third derivative of -s**5/60 + s**3/6 + s**2. Let y(m) = m**2 - m - 1. Calculate n*y(k) - 3*j(k). k**2 + 2*k - 1 Let x(g) = 2*g**2 + 3*g - 1. Let k(v) = -4*v**2 - 5*v + 2. Let h = -13 + 16. Suppose 0 = 2*l + o - 0*o - 12, 6 = h*o. Determine l*x(j) + 3*k(j). -2*j**2 + 1 Let s(r) = 6*r**3 + 4*r - 1. Let y(v) = 5*v**3 + 4*v. Let q(d) = 4*s(d) - 5*y(d). Let k(o) = 3 - 2*o**3 + 0*o**3 - 9*o - 12. Determine 4*k(b) - 9*q(b). b**3 Let f(x) = 20*x**2 - 2*x + 2. Let q(y) = 140*y**2 - 15*y + 15. Determine -30*f(b) + 4*q(b). -40*b**2 Let n(x) = -5*x + 2. Let c(b) = -8*b + 0*b + 9*b. What is 4*c(t) + n(t)? -t + 2 Let m(g) = 2*g - 3. Let s(n) = -3*n**3 + 2*n**2 + n + 2. Let y be s(2). Let z = 10 + y. Let k(o) = 1. Give z*k(b) - m(b). -2*b + 1 Let h(p) = -3*p**2 - 3*p. Let w(k) = -4*k**2 - 3*k. Suppose 0*v = 4*v - 20. Give v*w(o) - 6*h(o). -2*o**2 + 3*o Let s(l) = -l - 1. Let d(b) = 2*b + 2. Suppose 2*x - 4*o - 120 = 0, 5*x + 4*o - 99 = 215. Suppose -6*m = x + 4. Give m*s(k) - 6*d(k). -k - 1 Let s(w) = 7*w**2 + 6*w + 1. Let i(n) be the first derivative of 13*n**3/3 + 11*n**2/2 + 2*n + 29. Determine 6*i(j) - 11*s(j). j**2 + 1 Let g(a) = -a**2 - 4*a - 2*a**2 - 2*a. Let h be ((-78)/(-91))/((-3)/(-21)). Let t(y) = -3*y**2 - 5*y. What is h*t(d) - 5*g(d)? -3*d**2 Let o(v) = -v**3 + 6*v**2 + 16*v - 4. Let r be o(8). Let h(u) = -5*u**3 + 15*u - 15. Let w(q) = -q**3 + 4*q - 4. What is r*h(b) + 15*w(b)? 5*b**3 Let x(m) = 3*m + 2. Let v(a) = 7*a + 4. Suppose -5*z + 3 = -2. Suppose z = -p - 3. Let y = -42 - -51. What is p*v(u) + y*x(u)? -u + 2 Let x(l) be the second derivative of 9*l**5/20 + l**4/6 - 13*l**3/6 + 11*l**2/2 + 22*l + 2. Let k(q) = -4*q**3 - q**2 + 6*q - 5. Determine 13*k(a) + 6*x(a). 2*a**3 - a**2 + 1 Let k(r) = 4*r**3 + 4*r**2 + 9. Let d(q) = 2*q**3 + 2*q**2 + 5. Calculate 11*d(o) - 6*k(o). -2*o**3 - 2*o**2 + 1 Let j(u) = -5*u - 11. Let l(x) = 9*x + 21. Determine -7*j(y) - 4*l(y). -y - 7 Let r(x) = 6*x + 6 + 0 + 4*x. Let b(u) = -7*u - 4. Calculate -7*b(n) - 5*r(n). -n - 2 Let s(a) = 5 + 2*a**2 + 7*a + 3*a**2 - a. Let i(n) be the second derivative of n**4/4 + 2*n**3/3 + 3*n**2/2 + n + 4. Give 8*i(z) - 5*s(z). -z**2 + 2*z - 1 Let b(v) = -6*v + 2. Let u(i) = -i. Let w be 2*2/4*(-11 - -15). Calculate w*u(a) - b(a). 2*a - 2 Let y(x) = -3*x + 4. Let u(f) = -7*f + 9. Let b be -7 + ((4 + -6)*-1 - -1). Determine b*u(i) + 9*y(i). i Let o(i) = 3*i + 4. Let x(t) = -2*t - 3. Suppose 11 - 21 = 2*j. What is j*x(g) - 4*o(g)? -2*g - 1 Let d(i) = 5*i**2 + 7*i + 11. Let t(w) = 2*w**2 + 3*w + 5. Give 6*d(r) - 13*t(r). 4*r**2 + 3*r + 1 Let b(k) = 1. Let x = -7 - -9. Suppose 11 = -x*m - 1. Let g(t) = -t - 8. Determine m*b(h) - g(h). h + 2 Let i(g) = 27*g**3 + 18. Let l(m) = m**3 + 1. Determine -i(r) + 18*l(r). -9*r**3 Let h(v) be the second derivative of v**3/2 + v**2/2 - 3*v. Let k(b) = -2*b - 1. Determine -3*h(u) - 4*k(u). -u + 1 Let t(r) = 3*r**3 - 7*r - 7. Suppose 5 = -5*n - 30. Let k be (6 + 2)/((-1)/(-1)). Let x be -5*(k/5 - 2). Let u(l) = l**3 - 2*l - 2. Give n*u(d) + x*t(d). -d**3 Let a(m) be the second derivative of m**4/12 + 2*m**2 - m. Let j(x) = 2. Let g = -262 + 260. Calculate g*a(p) + 4*j(p). -2*p**2 Let n(d) = d**3 - d. Let h(c) = 10*c**3 + 2*c**2 - 5*c. Calculate h(w) - 5*n(w). 5*w**3 + 2*w**2 Let h = 5 - 8. Let w(m) = -4*m + 1. Let f(j) = -5*j + 1. Let c(a) = h*f(a) + 4*w(a). Let u(q) = -2 - 2 + 2. Calculate -2*c(r) - u(r). 2*r Let g(b) = -4*b + 3. Suppose 9 - 36 = 4*f + 5*q, 0 = 3*f - 4*q - 3. Suppose -5*j = 17 + 23. Let t(a) = -2 - 6 + 0 + 11*a. Give f*t(u) + j*g(u). -u Let u(k) be the first derivative of -k - 8. Let b(w) = -w**2 - 1. What is 2*b(a) - u(a)? -2*a**2 - 1 Let z(n) = -5 + 5*n**2 - 4*n**2 + 3*n**2. Let p(w) = w**3 + 17. Let v be p(0). Let b(t) = t**2 - 13 + 27 - 12*t**2. Determine v*z(r) + 6*b(r). 2*r**2 - 1 Let t(v) = v - 9. Let o(x) = 1. Let q(l) = -4. Let k(y) = -2*o(y) - q(y). What is 9*k(r) + 2*t(r)? 2*r Let h(k) = 10*k**3 + 2*k**2 + 2*k - 3. Let y(x) = -10*x**3 - 3*x**2 - 3*x + 4. What is -6*h(r) - 4*y(r)? -20*r**3 + 2 Let k(b) = -4. Let c(o) = o + 8. Let j(n) = 3*c(n) + 5*k(n). Let m(d) = 12*d + 15. Give -15*j(g) + 4*m(g). 3*g Suppose -4*s + 7*s = -15. Let z(v) = 6*v**3 + 5*v + 5. Let c(m) = -3*m**3 - 2*m - 2. Calculate s*c(k) - 2*z(k). 3*k**3 Let v(h) = -5*h - 11. Let n(d) = -d - 1. Determine 6*n(f) - v(f). -f + 5 Let d(a) be the first derivative of -a**2/2 - 4*a - 1. Let p(t) = 5. Give -3*d(l) - 2*p(l). 3*l + 2 Let t(z) = 2*z**2 + 5*z - 2. Let i be (4 - 5) + 5*1. Let y(b) = -6 - b**2 + i*b**2 + 14*b + 3*b**2. Determine -14*t(j) + 5*y(j). 2*j**2 - 2 Let i(v) = 13*v**3 + 4*v**2. Let u(n) = -130*n**3 - 39*n**2. Determine 39*i(o) + 4*u(o). -13*o**3 Let m(f) = -6*f + 7. Let c(n) = -n**2 + 7*n - 8. Calculate 6*c(y) + 7*m(y). -6*y**2 + 1 Let o(j) = 2*j + 13. Let g(w) = -2*w - 12. What is 3*g(u) + 2*o(u)? -2*u - 10 Let y(v) = v - 4. Let h(w) be the first derivative of -w**2/2 + 7*w - 12. Let i = -10 + 6. Calculate i*h(s) - 7*y(s). -3*s Let l(g) = -7*g. Let k be (-6)/((-1)/4*-4). Suppose -p - 9 = -2*b, 4*p + p + 27 = 4*b. Let m(q) = q - b*q + 0*q. Give k*l(d) + 22*m(d). -2*d Let b(w) be the third derivative of w**4 - 11*w**3/2 + w**2. Let h(v) = -v. Let k(r) = -r + 4. Let q(c) = -2*h(c) - k(c). Give -4*b(g) + 33*q(g). 3*g Let d(u) = 4*u**3 - 6*u + 5. Let b(p) = -7*p**3 + 11*p - 9. Give -6*b(n) - 11*d(n). -2*n**3 - 1 Let p(v) = -v**2 + 13*v. Let d(g) be the third derivative of -g**4/6 - 24*g**2. What is -7*d(x) - 2*p(x)? 2*x**2 + 2*x Let w(m) = 5 - 4*m**2 + 0 - 2. Suppose -4*o + 2*a - 43 = 7*a, 0 = 3*o + 5*a + 36. Let h(s) = 13*s**2 - s - 10. Determine o*w(b) - 2*h(b). 2*b**2 + 2*b - 1 Let j(b) = b**3 - 2*b**2 + 2*b + 40. Let y(i) = 2*i**3 - 3*i**2 + 3*i + 39. Give 3*j(d) - 2*y(d). -d**3 + 42 Let z(c) = 3*c**3 + 7*c + 7. Let n(t) = t**3 + 3*t + 3. Let v(j) = j**3 - 4*j**2 - 3*j + 5. Let w be ((-1)/3)/((-3)/36). Let i be v(w). What is i*n(k) + 3*z(k)? 2*k**3 Let x(y) = 6*y**2 + 26*y - 2. Let s(i) = 6*i**2 + 25*i - 3. Let g(z) = -4*s(z) + 3*x(z). Let q(b) = 2*b**2 + 7*b - 2. Determine -5*g(o) - 16*q(o). -2*o**2 - 2*o + 2 Let g(f) = 5*f**3 + 6. Let u(b) = b**3 + 1. Let n(x) = 12*x. Let s be n(-1). Let o be (-9)/s - (-54)/(-8). Give o*u(r) + g(r). -r**3 Let m(z) be the third derivative of -7*z**6/120 + z**5/10 - z**4/4 - z**3 - z**2 + 17. Let q(w) = -7*w**3 + 5*w**2 - 5*w - 5. Determine 5*m(p) - 6*q(p). 7*p**3 Suppose 5*l - 89 = 86. Suppose 5*x = -0*x - l. Let a(k) = -k**3. Let r(c) = 6*c**3 - c**3 - 2*c**3 - c**2. What is x*a(q) - 2*r(q)? q**3 + 2*q**2 Let j(s) = s**2 - 2*s - 2. Let c(w) = -11*w**2 - 3*w - 1. Let u be c(2). Let p(n) = 9*n**2 - 17*n - 17. Determine u*j(q) + 6*p(q). 3*q**2 Let f(h) = 2*h**3 - h**2 - h. Let c be 2*(-2)/10*5. Let y(a) = -a**3 + 1. Let n(r) = 5*r**3 + r**2 + r - 6. Let m(q) = n(q) + 6*y(q). Determine c*f(g) - 2*m(g). -2*g**3 Let s = 3 + -4. Suppose 4*q = 10 + 6. Let o(h) = -h**2 + h + 1. Let n(m) = -2*m**2 + 5*m + 3. Calculate q*o(u) + s*n(u). -2*u**2 - u + 1 Let o(q) = -3*q**3 + 2*q**2 - 6*q + 1. Let g(n) = -n**3 + n**2. What is g(r) - o(r)? 2*r**3 - r**2 + 6*r - 1 Let d(h) = -h**2 + 0*h**3 + 8*h**3 - 3*h**3 + 3*h - 1 - 6*h**3. Let g(u) = -u**3 - 2*u**2 + 5*u - 3. Calculate -5*d(w) + 3*g(w). 2*w**3 - w**2 - 4 Let l(g) = -3*g**3 + g**2 - g. Let m(o) = 8*o**3 - 3*o**2 + 2*o. What is 11*l(h) + 4*m(h)? -h**3 - h**2 - 3*h Let p(f) = -15*f. Let l(b) = 14*b. Give -4*l(i) - 3*p(i). -11*i Let f(z) = -7*z + 1. Let s = 6 + -3. Let w be (2 - s)/((-3)/51). Let h(b) = -4*b + 7*b - 3 + w*b. Determine 17*f(p) + 6*h(p). p - 1 Let u(o) = -o**3 + o**2 + 1. Let i(f) = -3*f**3 + 2*f**2 + 4. What is -2*i(g) + 4*u(g)? 2*g**3 - 4 Let k(y) = -4*y**3 + 4*y**2 + 10*y + 7. Let c(g) = 3*g**3 - 3*g**2 - 7*g - 5. Suppose 6*s + 40 = s. Let p be (-62)/s + 12/(-16). Determine p*c(d) + 5*k(d). d**3
{ "pile_set_name": "DM Mathematics" }