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**4/12 + 1121*y**3/18 - 3481*y**2/18 - y + 17. Factor u(w). (w - 1)*(w + 59)**2/9 Let c = -9709/9 + 1079. Solve -2/3*y - c*y**3 + 2/9 + 2/3*y**2 = 0 for y. 1 Let t(o) = -o**2 - 10. Let k be t(0). Let b be -2 + k/25*45/(-8). Let -1/4*j**2 + 1/4*j**3 + b*j**4 + 0 - 1/4*j = 0. Calculate j. -1, 0, 1 Let q(j) be the second derivative of 2/21*j**4 + 1 + 3/70*j**5 - 2/7*j**2 - 1/21*j**3 + 23*j. Factor q(r). 2*(r + 1)**2*(3*r - 2)/7 Let i(k) be the second derivative of -k**6/75 + k**5/5 - 6*k**4/5 + 56*k**3/15 - 32*k**2/5 - 49*k. Determine n, given that i(n) = 0. 2, 4 Let z(d) = 2*d**3 - 2*d**2 + d - 9. Let r be z(3). Solve -59*y**2 + 33*y**2 - 4*y + r*y**2 = 0 for y. 0, 1 Let u be (-184)/(-56) + 0 + (-4)/14. Factor -24 + 6*f - 6 - f + 0*f**3 + 20*f**2 + 5*f**u. 5*(f - 1)*(f + 2)*(f + 3) Suppose 5*t + 25 = 4*d, -3*d + 16 = -21*t + 20*t. What is l in -18*l + 3 + 117/4*l**3 + 87/4*l**2 - 81/4*l**d - 135/4*l**4 = 0? -2, -1, 1/3, 2/3 Factor -p + 4 - p**2 - p + 3*p + 2*p. -(p - 4)*(p + 1) Suppose -46*s - 10 + 1 = -49*s. Factor -25/3*g**4 + 0 - 20/3*g**2 - 40/3*g**s - 5/3*g**5 + 0*g. -5*g**2*(g + 1)*(g + 2)**2/3 Let c = 160 - 479/3. Determine l, given that -4/3*l**2 - 4/3*l - c = 0. -1/2 Let h = 13599 + -13597. What is s in -1/3*s**2 + h*s - 3 = 0? 3 Let b = -15 + 19. Factor 18*c**2 - b*c**4 - 13*c**2 - 22*c**2 - 24*c**3 - 19*c**2. -4*c**2*(c + 3)**2 Solve 0 + 8/7*v - 6/7*v**3 + 8/7*v**2 - 2/7*v**5 - 8/7*v**4 = 0. -2, -1, 0, 1 Let r(z) be the third derivative of z**5/30 + 31*z**4/3 + 3844*z**3/3 + 258*z**2 - 1. Factor r(s). 2*(s + 62)**2 Suppose 5*s + 45 - 11 = -r, 2*r - 4*s = 2. Let x(b) = 13*b**2 - 7*b + 25. Let f(n) = -3*n**2 + 2*n - 6. Let u(a) = r*f(a) - 2*x(a). Factor u(j). (j - 2)**2 Let b(g) be the first derivative of -3*g**6/5 - 6*g**5/25 + 87*g**4/10 - 102*g**3/5 + 102*g**2/5 - 48*g/5 + 9. Solve b(h) = 0 for h. -4, 2/3, 1 Suppose 18 + 0 = 9*q. Let 25*i**3 - 40*i + i**4 - 20 + 5*i**4 - i**4 - 5*i**q - 5*i**5 = 0. Calculate i. -1, 2 Let o = 2353 + -7175/3. Let g = o - -40. Factor -16/3*s - g*s**2 - 16/3. -4*(s + 2)**2/3 Suppose 4*p + 5*a = 255, 0*p - 4*p = -2*a - 234. Let s = 60 - p. Factor 0*g + 0 - 1/9*g**5 - 2/9*g**4 + s*g**2 - 1/9*g**3. -g**3*(g + 1)**2/9 Suppose 3*l - 453 = -3*u, 5*u + 4*l = -0*u + 752. Let 28*c**4 + 48*c**3 - 20 + u*c**2 + 122*c**3 + 40*c + 17*c**4 + 37*c**2 = 0. Calculate c. -2, -1, 2/9 Factor 65*t**3 - 5 - 17*t**2 + 35*t - 20*t**4 - 21*t**2 + 31*t**2 - 68*t**2. -5*(t - 1)**3*(4*t - 1) Let y(t) be the first derivative of -2*t**3/3 - 2*t**2 + 6*t + 19. Find p, given that y(p) = 0. -3, 1 Let x(i) be the first derivative of -3*i**4/28 - i**3/7 + 6*i**2/7 + 12*i/7 + 28. Let x(r) = 0. What is r? -2, -1, 2 Suppose -4*g = -99 + 83. What is w in 6/7*w**3 + 2/7*w**5 + 6/7*w**g + 0 + 0*w + 2/7*w**2 = 0? -1, 0 Suppose 11/2*z**2 + 1/4*z**5 + 21/4*z**3 + 0 + 2*z**4 + 2*z = 0. What is z? -4, -2, -1, 0 Let f(i) be the third derivative of i**7/1400 - i**6/150 + i**5/40 - i**4/20 - 2*i**3 + 41*i**2. Let k(t) be the first derivative of f(t). Factor k(o). 3*(o - 2)*(o - 1)**2/5 Let p(w) be the first derivative of -w**6/24 - w**5/4 - 3*w**4/16 + 5*w**3/12 + w**2/2 - 78. Solve p(a) = 0 for a. -4, -1, 0, 1 Let y(g) be the third derivative of g**8/168 - 13*g**7/525 - g**6/50 + 2*g**5/15 + 2*g**4/15 - 61*g**2 + g. Let y(p) = 0. What is p? -1, -2/5, 0, 2 Let n(g) = -g**2 + 5*g + 1. Let z(a) = -a**2. Let s(w) = -n(w) + 2*z(w). Let p be s(-4). Let -3*i**2 + 6*i**p - i + i - 3*i + 0*i**3 = 0. Calculate i. -1/2, 0, 1 Let w be (1 + 3/(-6) + -2)/10. Let q = w - -29/60. Factor q*i - 2/3 + 1/3*i**2. (i - 1)*(i + 2)/3 Find y, given that -1/5*y**2 + 4/5*y + 1 = 0. -1, 5 Let z(p) be the second derivative of -p**9/120960 + p**7/20160 + p**4/2 - 5*p. Let w(x) be the third derivative of z(x). Determine y, given that w(y) = 0. -1, 0, 1 Determine b, given that 0 + 0*b**2 + 1/2*b**5 + b**3 - 3/2*b**4 + 0*b = 0. 0, 1, 2 Let k be 3*(11 + 650/(-60)). Find q, given that 1/4*q - 9/4*q**2 + k - 13/4*q**3 - 5/4*q**4 = 0. -1, 2/5 Suppose c = -344 + 344. Suppose -4*l = 2*h - 2, -4*h + 5*l + 24 - 7 = c. Determine x so that -3*x - h - 3/4*x**2 = 0. -2 Solve 2/5*a - 4 + 4*a**2 - 2/5*a**3 = 0. -1, 1, 10 Let k(y) = -3*y - 21. Let a be k(-8). Let v(m) be the first derivative of 4 - 1/12*m**a - 3/8*m**2 - 1/2*m. Solve v(b) = 0 for b. -2, -1 Let q(l) be the third derivative of -l**8/112 + 13*l**7/420 + 3*l**6/80 - 23*l**5/120 - l**4/16 + 5*l**3/6 + 17*l**2 - 2*l. Let q(j) = 0. What is j? -1, -5/6, 1, 2 Suppose 142 = -3*n + 130. Let z be -1*2/7*n. Determine y so that 8/7 - 6/7*y**2 - 8/7*y - 2/7*y**4 + z*y**3 = 0. -1, 1, 2 Let d(v) = -7*v**4 + 8*v**3 + 7*v**2 - 13*v - 5. Let x = 77 - 80. Let p(c) = -4*c**4 + 4*c**3 + 4*c**2 - 7*c - 3. Let i(f) = x*d(f) + 5*p(f). Solve i(y) = 0. -1, 0, 1, 4 Let x(c) = 2*c**3 + 2*c**2 - 4*c + 3. Suppose 3*u - 4*u = 4. Let z(q) = 2*q**2 + 5*q - 4 - 4*q**2 - 4*q**3 + q**3. Let i(r) = u*x(r) - 3*z(r). Factor i(f). f*(f - 1)**2 Let q(s) = -s**3 + 8*s**2 - 11*s + 27. Let a be q(7). Let c be -2 - -1*((a - 3) + 6). Factor c*u**2 + 2/3*u**3 + 0 - 2/3*u. 2*u*(u - 1)*(u + 1)/3 Determine h so that 2*h + 288*h**4 - 113*h**3 - 64*h**5 + 301*h**3 - 1223*h**2 + 1079*h**2 + 18*h = 0. -1, 0, 1/4, 5 Let p be 6/((-5)/(-100)*5). Suppose -24 = -15*t - p. Factor -1/7*v**3 + t*v**2 + 0*v + 1/7*v**5 + 0 + 0*v**4. v**3*(v - 1)*(v + 1)/7 Factor -6 + 2*f**5 + 4*f**3 - 28*f**2 - 22*f - f**3 - 15*f**3 + 2*f**4. 2*(f - 3)*(f + 1)**4 Let t(h) be the second derivative of -h**6/150 - 21*h**5/100 + 11*h**4/30 + 182*h. Suppose t(m) = 0. What is m? -22, 0, 1 Suppose -8 = -4*s + 12. Let v = -6 - -8. Suppose 3*g**2 - 4 + v - 6*g + s = 0. Calculate g. 1 Let f(g) = 8*g**2 + 4. Let k(x) = 9*x**2 + 5. Suppose -5*y + 22 = 3*m, -m = -4*y - 0*m + 21. Let d(l) = y*f(l) - 4*k(l). Factor d(s). 4*s**2 Let j(d) = -d**3 + d**2 - d - 5. Let b be j(0). Let n(u) = u**3 + 5*u**2 + 2. Let z be n(b). Factor -3*c**3 - c - 7*c**2 + 7*c**z + 4*c**3 + c**2 - 1. (c - 1)*(c + 1)**2 Let i(v) be the third derivative of -v**8/336 - v**7/105 + v**6/40 + v**2 + 58. Factor i(n). -n**3*(n - 1)*(n + 3) Let r be (-1 + (0 - 2)/(-8))*(-44)/165. Let r - 2/5*s + 1/5*s**2 = 0. Calculate s. 1 What is l in 0 - 48/7*l**2 + 4/7*l**5 + 0*l - 32/7*l**3 + 4/7*l**4 = 0? -2, 0, 3 Factor 1/2*x**5 + 19*x**3 + 12*x + 0 - 26*x**2 - 11/2*x**4. x*(x - 6)*(x - 2)**2*(x - 1)/2 Factor -6/5*d - 2/15*d**2 - 16/15. -2*(d + 1)*(d + 8)/15 Solve -25/2*w**5 - 12 + 15*w**4 + 161/2*w**3 - 21*w**2 - 50*w = 0 for w. -2, -2/5, 1, 3 Let f(l) = l**2 - 4*l - 3. Let d be f(4). Let n be 15/(-3)*(2 + d). Determine a, given that 29*a**4 + 2*a**n - 8*a**2 - 4*a + 2*a**2 + 2*a**3 - 23*a**4 = 0. -2, -1, 0, 1 Let a(o) be the second derivative of -1/6*o**3 - 1/20*o**5 + 0 + 0*o**2 - 1/6*o**4 + 3*o. Let a(z) = 0. Calculate z. -1, 0 Let k(i) = -4*i**3 + i**2. Let q be k(-1). Let f be ((-1)/(-2))/(q/40). Solve 2 - 2*w**2 + 2*w - f*w + 7*w**3 - 5*w**3 = 0. -1, 1 Suppose -21 = -21*s + 21. Let a(f) be the second derivative of 0 + 13/3*f**3 + 2/3*f**4 - 6*f + 3*f**s. Solve a(o) = 0 for o. -3, -1/4 Let n = 10 - 12. Let g(p) = p**2 + 2*p + 3. Let r be g(n). Determine m, given that -m + 2*m**2 + 0*m**2 - m**2 - r*m**2 = 0. -1/2, 0 Suppose -5*j + 173*t = 175*t, -3*j + 4*t + 26 = 0. Factor 0 + 3/5*r + 1/5*r**j. r*(r + 3)/5 Let v(n) = 4*n**3 + n**2 + 2*n - 1. Let f be v(1). Factor f*r - 3 + 48*r**3 + 902*r**2 + 21*r - 974*r**2. 3*(r - 1)*(4*r - 1)**2 Let k(g) = -17*g**4 - 3 + 2*g**5 + 11*g**4 + 1 - 11*g**3 - 12*g - 19*g**2. Let c(z) = -z**5 - z**3 + z**2 + z. Let m(w) = -6*c(w) - 2*k(w). Factor m(j). 2*(j + 1)**4*(j + 2) Let f(a) be the second derivative of a**6/72 + a**5/6 + 5*a**4/8 + a**3/2 - 11*a. Let s(y) be the second derivative of f(y). Factor s(l). 5*(l + 1)*(l + 3) Let g(r) = -27*r**2 - 360*r + 633. Let l(z) = -7*z**2 - 91*z + 158. Let n(q) = 4*g(q) - 15*l(q). Factor n(o). -3*(o - 2)*(o + 27) Suppose -231 = -2*h - 5*x, -x + 3*x - 374 = -3*h. Let d = 130 - h. Factor -2 - 81/2*g**d + 18*g. -(9*g - 2)**2/2 Let n(y) = y**3 + 120*y**2 + 3846*y + 3718. Let z(u) = u**3 + 121*u**2 + 3845*u + 3719. Let a(v) = -4*n(v) + 6*z(v). Factor a(b). 2*(b + 1)*(b + 61)**2 Factor 1/4*i**2 + 9*i + 35/4. (i + 1)*(i + 35)/4 Let j(n) be the first derivative of -4*n**5 + 15*n**4/4 + 15*n**3 + 5
{ "pile_set_name": "DM Mathematics" }
14*m**4 Expand (-1 - 9 + 2 + (5 - 3 - 4)*(1 + 2 - 4) - 3 + 2 + 3)*(-2*z**4 + z**3 + z**3 + z**4). 4*z**4 - 8*z**3 Expand (4 - 4 + b**3)*(-1 + 5 + 0) + (4 - 4 - 3)*(-2*b + 2*b**3 + 2*b). -2*b**3 Expand (-4 + 1 - 1)*((5 - 2*k - 5)*(-3 + 3 - 2) - 5*k + 7*k + 2*k). -32*k Expand (-4 + 3 + 2)*(16 - 6 - 4*f - 9). -4*f + 1 Expand (-g + 3*g**2 + g)*((-2 + 2 - 2)*(-2 + 2 + 2*g) + 3*g - 2*g + 0*g + 3*g + 25*g + 3*g) + (3*g - 4*g - g)*(-3*g + 3*g - 2*g**2) + 0*g**3 + 2*g**3 + 0*g**3. 90*g**3 Expand (249*v + 38*v - 61*v)*(-3*v**2 + 4*v**2 - 2*v**2). -226*v**3 Expand (-3*g**2 + 3*g**2 - g**2)*(-53*g + 1060 - 1060). 53*g**3 Expand (2 - 4 + 4)*(-2*k + 2*k - k) + 2 - 2*k - 2 + 3*k + 2*k - 2*k. -k Expand (0*i**2 - i**4 + i + 0*i**2)*(-11 + 62 - 18). -33*i**4 + 33*i Expand (3*x**3 - 2*x**3 + 2*x**3)*(0 - 3 + 1) - 3*x**3 + 5*x**3 - 4*x**3. -8*x**3 Expand (1 + x - 1)*(24*x + 9*x + 16*x). 49*x**2 Expand (2*o**2 + 9*o - 9*o)*(-2*o + 3*o - 2*o) + 5*o - 5*o - 3*o**3. -5*o**3 Expand (0 + 0 - 2*i)*(2 + 4 - 2). -8*i Expand (-5*h**4 + 3*h**4 + h**4)*(-3*h + 4*h + h) + 9*h**5 + 56*h**4 - 56*h**4 + (-3 + 2*h + 3)*(2*h**4 - 3*h**4 - h**4) - 5*h**5 + h**5 + 5*h**5. 4*h**5 Expand -3*a**2 + a**2 + 3*a**2 + 0*a**2 - 4*a**2 + 0*a**2 + (4 - 2 - 1)*(-5 + 5 + a**2) + 3*a**2 - 2*a**2 + 0*a**2 - 5*a**2 + 2*a**2 + 0*a**2. -4*a**2 Expand (4*l - 24 + 15 + 11)*(3 - l - 3). -4*l**2 - 2*l Expand (0 + 37 + 19)*(-g - g + g)*(-5 - 3 + 6 + (1 - 2 + 2)*(1 - 3 + 0) + 4 - 4 - 2). 336*g Expand ((-3*m + 2*m - m)*(2 + 2 - 3) + 4*m - 3*m + 0*m)*(1 - 1 - 3 + (3 + 0 - 4)*(-2 + 3 + 0) - 1 + 2 + 1). 2*m Expand ((-4 + 3 + 2)*(0 + 0 + 1) - 4 + 1 + 6)*(0*k**4 - 2*k**5 + 0*k**4). -8*k**5 Expand (202*k - 92*k - 97*k)*(-2 - 3 + 3). -26*k Expand (3*r**2 - r**2 + 0*r**2)*(r**2 - 4 + 4) + (7*r - 7*r + 3*r**2)*(-r**2 - 2*r + 2*r). -r**4 Expand (-6 + 6*j + 6)*(4*j**2 + 0*j**2 - 3*j**2) - j**3 + 0 + 0. 5*j**3 Expand 0 - 3*k + 1 + k + (1 + 1 - 1)*(-2 + k + 2) - 11*k + 20*k - 13*k. -5*k + 1 Expand (-t + 8*t + 2*t)*(-5 + 2 + 4). 9*t Expand (-2*d**4 + 3*d**4 + 2*d**4)*(-7 - 9 + 18). 6*d**4 Expand (3*d**2 + 0*d**2 + 9*d**2 + (d - 3*d + d)*(2*d - d + d))*(-2 + 5 - 4). -10*d**2 Expand 2 - 4 + 4 + 10*i**5 + (-2 + 2 + 2*i)*(2*i**2 - 2*i**2 - i**4). 8*i**5 + 2 Expand (-j + 3 - 3)*(-5*j**2 + 4*j**2 + 2*j**2). -j**3 Expand ((0 + 1 + 1)*(-2 - 4 + 4) + (2 + 0 - 5)*(5 - 1 - 3) + 1 - 3 + 0)*(6*s - 2*s - 3*s). -9*s Expand (h - 5 + 5)*(-h + 4*h - 5*h) + 11*h + 3*h**2 - 11*h + (h**2 - 2 + 2)*(-1 + 1 + 2). 3*h**2 Expand -2*a**4 + 0*a**2 + 0*a**2 + 3*a**4 - a**4 + 0*a**4 + (-4*a**2 + 2*a**2 + a**2)*(3 - 4 - 1)*(-a**2 + 2*a**2 - 3*a**2). -4*a**4 Expand (-4*w**2 + 2*w**2 + w**2)*(-2*w**2 + 4 - 2 - 4*w**2). 6*w**4 - 2*w**2 Expand (-2*k**2 - k + 4 - 4)*(-2 - 2*k**2 + 2). 4*k**4 + 2*k**3 Expand ((-3 + 3 + 1)*(-4 - 1 - 1) + 0 - 1 + 3 + (-1 - 2 + 5)*(-6 + 1 + 3) + 5 - 2 - 4)*(2*o - o + o). -18*o Expand (-2 + 0 + 0)*(-3 + 3 + 3)*(-4*f**5 + 0*f**5 + 2*f**5). 12*f**5 Expand (2*i**2 + 0 + 0)*(i + 0*i - 6*i). -10*i**3 Expand (-3*j**2 + 20*j**2 + 11*j**2)*(-2*j + 3*j - 2*j) + j**3 + 0*j**3 - 2*j**3. -29*j**3 Expand -1 - 5 + 4*u - 8*u - 1 + 1 + u + (-2 + 2 + 1)*(-6*u + 5*u + 3*u). -u - 6 Expand 3*n**2 - 3*n**2 - n**5 + (0 + 0 - 3*n)*(3*n**4 - 2*n**4 + 0*n**4). -4*n**5 Expand (2*b - b - 4*b)*(2 - 1 - 2)*(0*b - 4*b - 2*b). -18*b**2 Expand (2*v - v + 0*v + (-3*v + 3*v + v)*(1 + 1 - 1) + 1 + 1 - 1 + v)*(-3 - 6 - 2). -33*v - 11 Expand (2 - 5 + 1)*(4*u**3 - u**3 - 2*u**3) - 4*u**3 - u**3 + 6*u**3 + u - u - 5*u**3. -6*u**3 Expand -2*x**4 + 4*x**4 - x**4 - 2*x**4 - x**4 + 4*x**4 + (-3*x - 2 + 2)*(x**3 - x**3 + 2*x**3). -4*x**4 Expand (8*c - c - 5*c)*(4*c**2 - 2*c**2 - 3*c**2). -2*c**3 Expand (-4 + 3 + 4)*(-5 + 2 + 0)*(-6*b + 2*b + 2*b)*(0 - 2 + 1). -18*b Expand (-3*v + 0*v + 8*v)*(-v**2 + v**2 - 2 + v**4). 5*v**5 - 10*v Expand (-2*m**2 + 3*m**2 - 2*m**2 + (-5*m + 3*m + 3*m)*(-3*m + 3*m - 2*m))*(0*m**2 + 5*m**2 - 2*m**2). -9*m**4 Expand (15*d**3 - 3 - 17*d**3 + 4 + 2*d**2)*(-3 + d + 3). -2*d**4 + 2*d**3 + d Expand -3*g**4 - g**4 + 2*g**4 + (0 + 4 - 5)*(g**4 + 0*g**4 - 2*g**4) + 0*g**4 - g**4 - g**4 - 125*g**3 - 2*g**2 + 125*g**3 + 4*g**4. g**4 - 2*g**2 Expand (2*i**3 - i**3 - 3*i**3)*(-3 - 9 - 21)*(3*i + 0*i + 0*i). 198*i**4 Expand ((3 - 1 + 0)*(0 + 0 - z) - 3*z - 3 + 3)*(-4*z**2 + z**2 + 4*z**2)*(-z - 4*z + 3*z). 10*z**4 Expand (-26*k + 22*k**3 + 26*k)*(-1 - 2 + 1). -44*k**3 Expand (0 - 2 + 3)*(3 + 3*w**2 - 3)*(2*w**2 - 2 + 0*w**2 + 0*w**2). 6*w**4 - 6*w**2 Expand (g + 3*g - g)*(3 - 3 + 3*g). 9*g**2 Expand -18 + 18 - w + (0 + 0 + w)*(0 - 9 + 3) + (5 - 4 - 3)*(-w + 5*w - 2*w). -11*w Expand (-4 + 7 + 2 + (3 - 4 - 1)*(4 - 2 - 1))*(-2*h - 3*h + 7*h - 3). 6*h - 9 Expand 0*d**2 + 13*d**2 + 8*d**2 + (4*d - 2*d + 0*d)*(-4*d - 1 + 1). 13*d**2 Expand (3 - 3 - 2*v**2)*(5 - 29 + 1). 46*v**2 Expand (14*p + 2*p + p - p - 2 + 2 + (5 + 1 - 4)*(-2*p + p + 0*p) - p + 1 - 1)*(p + 2*p**2 - p). 26*p**3 Expand (k - 4*k + 2*k)*(k**2 - 2 + 2) + (1 + 1 + 0)*(-6 + 1 + 0)*(-k**3 + 2*k**3 + k**3). -21*k**3 Expand (-2*o**2 - o**2 + 5*o**2)*(2*o**3 + o**2 - o**2) - o**5 + 5*o**5 - 5*o**5 - 2 - 2*o**5 + 2. o**5 Expand (0*u - 3*u - 2*u)*(2 - 1 + 0). -5*u Expand -35 + 35 + 2*j**5 - 14*j**2 + (-2*j**5 + 3*j**5 + 0*j**5)*(-4 + 0 + 6). 4*j**5 - 14*j**2 Expand ((-3*p - 2*p + 6*p)*(2 - 1 + 1) + 2*p + 3*p - 2*p - 3*p + 2*p - p)*(1 - 2 - 1)*(p**2 + 0*p**2 + 3*p**2). -24*p**3 Expand (0*p + 0*p - 8*p)*(p + 1 - 1)*(-5 + p + 5). -8*p**3 Expand 69 - 69 + 12*s - s + 3 - 3 + (-3*s - 3*s + 5*s)*(-1 + 0 - 1). 13*s Expand (-j**4 - 3*j**4 - 2*j**4)*(16 - 16 - j + (j - 2*j - j)*(1 - 2 + 3)). 30*j**5 Expand (-c**4 - 2 + 2)*(3 + 0 - 1) + (-1 + 1 + c)*(0*c**3 + c**3 + 2*c**3). c**4 Expand 4*l**2 - l**4 + 3*l**4 - l**2 + (-4 - 2 + 7)*(2*l**4 - 2*l**4 + 2*l**4) - l**4 + l**4 + 2*l**4. 6*l**4 + 3*l**2 Expand (0*f + 0*f + f + (-1 + 2 + 1)*(-f + 1 - 1) + 0*f + 0*f - f)*(6 - 3 - 2). -2*f Expand (2 + 4 - 5)*(i + 0*i - 5*i) + 5*i - 2*i - i + i + 1 - 1 - i - i - i + (0*i + i - 2*i)*(2 + 0 - 1). -5*i Expand (-5 - 2 + 5)*(2*o**5 - 3*o**5 - 3*o**5) - o**5 + 2*o**5 - 2*o**5 - o**2 + (3*o**3 - 2*o**3 - 2*o**3)*(2*o**2 - 4 + 4). 5*o**5 - o**2 Expand (a**3 + 12*a**3 - 5*a**3 + (3*a**2 + 2*a**2 - 4*a**2)*(2 - 2 - a))*(3*a**2 + a - a). 21*a**5 Expand (-g**2 - 5349*g + 5349*g + 43)*(-2 + 0 + 3)*(1 - 4 + 1). 2*g**2 - 86 Expand (2*t - 3*t + 3*t)*(-2*t - t + 2*t + (-1 + 1 + 4)*(-2*t + 3*t + 0*t) + 2*t - 2*t - t). 4*t**2 Expand ((t**4 - 3*t**4 + 3*t**4)*(-5 + 5 + 2) + 0*t**4 + 3*t**4 + 3*t**4)*(-3*t + 5*t - t). 8*t**5 Expand (1 - 1 + 2)*(0*i - i - i)*(-4*i**4 - i**4 - i**4). 24*i**5 Expand -3*q**5 + 2*q**5 - q**5 + (2*q**3 + 0*q**3 - 3*q**3)*(4 - 3*q**2 - 4) - 2*q**5 - 2*q**4 + 2*q**4. -q**5 Expand (4*h - 3*h - 2*h)*(1 - 1 - h**2)*(8*h - 10*h + 17*h). 15*h**4 Expand (-14*f**2 + 8*f**2 + 4*f**2 + 13)*(-2 + 2*f**2 + 2 + (3*f + 0*f - 5*f)*(0*f + 0*f - 2*f)). -12*f**4 + 78*f**2 Expand -2*t**4 - t**4 + t**4 + (0*t**2 + t**3 + 0*t**2)*(-228 - 15*t + 228). -17*t**4 Expand 3*x**2 - 17 + 17 + (3 - 3 + x)*(4*x - x - 2*x). 4*x**2 Expand -4*q - 3*q + 5*q + (0*q + 0*q - q)*(-1 - 5 + 4) + q - 5*q + 3*q. -q Expand 74*z**4 + z**5 - 74*z**4 + 2*z**5 - 5*z**5 - z**5 + 5*z**5 - z**5 - 2*z**5 + (-z + 2*z + z)*(4*z - 2*z**4 - 4*z). -5*z**5 Expand (0*d + d**2 + 0*d)*(0 + 2 + 0) + (d - d - 2*d)*(-4*d - 4 + 4). 10*d**2 Expand (17*z - 2*z + 4*z)*((3 - 2 - 2)*(0 + 3 - 5) + 1 + 0 + 1). 76*z Expand (0*x**2 - x**3 - 3*x**2 + 2*x**2)*(-x + 4*x + 2*x). -5*x**4 - 5*x**3 Expand (-2*p**3 + p + 17 - 3*p - 14)*(-2 - 1 + 4). -2*p**3 - 2*p + 3 Expand -r - r**2 + r + (-2*r + 3*r + 0*r)*((6*r - 2*r - 2*r)*(-1 + 3 - 3) + 2*r - 3*r - 3*r). -7*r**2 Expand (2*m - 7*m + 3*m + (-1 - 1 + 3)*(0*m + 2*m - m) + 0*m + m + m - 4*m + m + 4*m)*(m + m - m). 2*m**2 Expand (1 - 3 - 3)*(-2*w - 5 + 2 + 2). 10*w + 5 Expand (-2*l**3 + 12*l**3 + 9*l**3)*(3*l**2 - 5*l**2 + l**2). -19*l**5 Expand -4*d**2 + 2*d**2 + d**2 + (1 + 2 - 1)*(-d**2 + 3 - 3) + (-3*d + 0*d + 5*d)*(-2*d + 2 - 2) - 2*d + 2*d + 2*d**2 - 2*d**2 + 2*d**2 - d**2. -6*d**2 Expand (-5*c**2 - c**2 + 2*c**2)*(4*c - 4*c + c) + (-3 - 1 + 1)*(-2*c + 4*c - 4*c)*(2*c**2 - 3*c**2 + 3*c**2). 8*c**3 Expand (-5*a + 0*a + 0*a + (-2 - 1 + 1)*(0*a + a + a) + a + 4*a - 3*a)*(2*a + 4*a - 4*a). -14*a**2 Expand (23*n - 12*n - 6*n)*(0*n**2 + 0*n**
{ "pile_set_name": "DM Mathematics" }
+ 5*b - 23 for j. 2 Solve 5*k - 2*m = m + 5, -2*k + 1 = -m for k. -2 Solve -4*u + t = -3*u + 10, 2*t = 5*u + 35 for u. -5 Solve -5*o - 35 = -4*c - 33, -o = -4*c + 10 for o. 2 Solve -16 = -4*k - 3*l + l, 0 = -k + 4*l - 5 for k. 3 Solve -4*c - 2*a - 13 = -c, 0 = 3*c - 3*a + 18 for c. -5 Solve l - 1 = m - 3*m, -4*m = -2*l + 18 for m. -2 Solve -d = f + 5, -d + 20 = -6*d for f. -1 Solve 12*x - 15*x = -2*v + 4, -2*v + 20 = 5*x for x. 2 Solve 4*r - 24 = 4*j, -15 = 20*j - 17*j - 2*r for j. -3 Solve 0 = 5*h + 29*r - 30*r + 6, 6*h - 5*r = 8 for h. -2 Solve 0 = z - 3*w - 10, -z = -4*w - 6 - 8 for z. -2 Solve -2*m - s - s - 4 = 0, 8 = -5*m - 3*s for m. -1 Solve -5*r - 2 = -2*h, 9 = 5*r + 5*h + 4 for r. 0 Solve -75*v + 72*v - s + 8 = 0, 3*v + 2*s = 13 for v. 1 Solve -4*s - 12*y + 27 = -9*y, s + 4*y = 23 for s. 3 Solve -2*g - 6*o + 3*o + 1 = 0, 5*g + 11 = -3*o for g. -4 Solve 2*k + 3 = 3*f, -3002*k - 2 = -2*f - 3000*k for f. 1 Solve -3*f + 2*g - 4 = 0, 0 = 3*g - 0*g - 6 for f. 0 Solve 0 = 6*t - t + 2*z + 16, -3*t + z - 14 = 0 for t. -4 Solve 4*z + 4*u = 24, 4*u - 9 = 5*z - 6*z for z. 5 Solve 4*s = -3*t + 6, 2*s + 4*t = -s + 1 for s. 3 Solve 0 = z + 3, -l - 2*z + 8 = -5*z for l. -1 Solve -d = -3*o - 10, 0 = -o - 5*d + 8 - 6 for o. -3 Solve 0*v + 2*v + 14 = -2*x, -v + 13 = -3*x for v. -2 Solve -2*p + 0*k + 4*k - 14 = 0, -3*k + 14 = -5*p for p. -1 Solve 2*n - g + 5 = 0, 8 - 21 = 5*n - 3*g for n. -2 Solve -22 = -2*a + 5*n, 4*a = 6*n - 10*n + 16 for a. 6 Solve -6*l = -4*l - k - 15, -l - 3*k - 10 = 0 for l. 5 Solve 5*n = -3*g + 5, -4 = -2*n + 5*g - 2 for n. 1 Solve -2*d + 18 = 2*a, 5*a = -6 + 26 for d. 5 Solve 11 = 5*z - 3*b, -11*z + 4*b = -8*z for z. 4 Solve 7 = 3*y - 2*i, 2*y + 2 = 5*i + 14 for y. 1 Solve 3*n - 80 + 71 = 5*d, d + n = 3 for d. 0 Solve 0*o + 2 = 4*o + 2*j, j = -3*o + 3 for o. 2 Solve g = 3*g + 5*k - 19, 4*g = 4*k - 32 for g. -3 Solve s - 11 = 2*h + h, s + 5*h + 29 = 0 for s. -4 Solve 37 = 3*i + 2*i - 3*q, -i = q - 1 for i. 5 Solve 0 = -111*p + 112*p - 4, -4*p = d - 16 for d. 0 Solve 4*f = 5*o - 7, -33*f + 17 = -2*o - 38*f for o. -1 Solve 5*v - m - 7 = 3*v, 5*m + 17 = 4*v for v. 3 Solve 5*c - 10 = 146*t - 145*t, -5*t + 5*c + 10 = 0 for t. 5 Solve -16*u + 14*u = 3*v - 9, -5*v + 3*u + 34 = 0 for v. 5 Solve -2*n + 4*o + 78 - 72 = 0, -3*n - 24 = 5*o for n. -3 Solve -24 = 3*u - 5*m, 2*u - m - 3 = -4*m for u. -3 Solve -4*f - 2*x - 14 + 8 = 0, -5*f + 25 = -4*x for f. 1 Solve 0 = d + 2, 0 = -4*f + 6*d - 5*d - 10 for f. -3 Solve 2*z - 4 = -y + 3*y, -12 = -4*z for y. 1 Solve 24 = h - 5*r - 0, -20 = -h + 4*r for h. 4 Solve -3*p = a - 5 + 1, 8 = 4*p + 2*a for p. 0 Solve 2*a - 6 = 2*i, 12 + 2 = 2*i + 2*a for i. 2 Solve 4*r + 2*x - 4 = 0, 2*r + x - 2 = -4*x for r. 1 Solve -3*t + 5*r = -37, 39*t - 38*t = -5*r - 21 for t. 4 Solve -35 = 5*v - 2*h, 0*v - 2*v + 3*h - 25 = 0 for v. -5 Solve -a = -f + 5 - 1, 18 = -5*a + 3*f for a. -3 Solve 0 = 4*u - 3*t + 6*t - 17, u + 1 = t for u. 2 Solve 0 = z - f + 4, 0*f = 4*z - 2*f + 10 for z. -1 Solve 3*q + 4*o = -0*q + 20, q + 4*o - 12 = 0 for q. 4 Solve -2*u + 13 = -5*w, 3*u - 14 = 4*w + 2 for w. -1 Solve -868*q + 873*q - 5*g + 25 = 0, 0 = -2*q + g - 5 for q. 0 Solve 0 = 3*m + 4*b - 9, 2 = -5*m + 9*m + 2*b for m. -1 Solve 4*o = -5*x + 6*o - 21, -18 = 2*x + 4*o for x. -5 Solve -4*i = -9*i - 4*n + 5, -2*i - 5*n - 15 = 0 for i. 5 Solve 0 = -5*u + 4*m - 15, -45*u - 2*m = -49*u - 12 for u. -3 Solve 4*f - 14 + 8 = -5*c, 3*c - f - 7 = 0 for c. 2 Solve 20 = 4*m, 4*m = 8*q - 4*q + 28 for q. -2 Solve -5*x - 16 = p, -2 = -x + 4*p + p for x. -3 Solve -4*w = -3*r - 11, 2 - 7 = 5*w for r. -5 Solve j = 3*o - 1, 4*o + 20 = -3*j + 4 for j. -4 Solve -3*n = -3, 3*o + 3*n + 9 - 3 = 0 for o. -3 Solve -v - 10*c + 6*c - 17 = 0, -c = -4*v for v. -1 Solve 5*k - 6*m = -3*m + 9, 0 = 5*k - m - 3 for k. 0 Solve -4*w - n - 3 = 0, 15 = -3*w - w - 5*n for w. 0 Solve -62*z = -63*z + 3*p + 2, -2 = -z - p for z. 2 Solve 10*s - 11*s - 13 = -2*g, -4*s + 4*g = 32 for s. -3 Solve -b + 2*f + 12 = -2*f, 4*b + 4*f - 8 = 0 for b. 4 Solve -5*m = 3*j - 5, 2*m = -2*m - 4*j + 4 for m. 1 Solve -5*g = t - 8*g, 3*g - 24 = -3*t for t. 6 Solve -4 + 2 = -y, -2*c - 2 = -4*y for c. 3 Solve -h - 3 = j, 2*h - h + 8 = -2*j for j. -5 Solve 2*v - 4*g - 7 = -11, 5*v + 3*g + 23 = 0 for v. -4 Solve -11 = 3*p + 4*u, -2 = -5*p + u + 18 for p. 3 Solve 0 = -3*t + 2*a - 8 + 3, 3*a - 6 = 4*t for t. -3 Solve -3*j - 5*o = -3, -5*o - 3 = j - 14 for j. -4 Solve -d = -3*x - 2*x + 2, -3*x + d = 0 for x. 1 Solve 2*t - 3*m + 19 = 0, 0 = 7*t - 2*t - m + 28 for t. -5 Solve 4*f + 30 = 4*l - 7*l, -2*l - 2*f = 18 for l. -6 Solve -5*j - 6 = -u, 5*j - 15 = -20 for u. 1 Solve 2*c - 18 = 2*b, 3*c - 4 + 9 = -5*b for b. -4 Solve -4 + 1 = 3*p - 4*h, -p - 2*h - 11 = 0 for p. -5 Solve 0 = -2*r + 2*c, -2*c = -r + c for r. 0 Solve 0 = -z - 3*p - 18, -4*p + 36 - 56 = 0 for z. -3 Solve 2*u = -3*h + 1, -5*u - 72 + 61 = 3*h for u. -4 Solve 5*m - 15 = 0, -2 = -25*o + 30*o + m for o. -1 Solve -3*c - 14 = -2*c + 5*z, -z = c + 2 for c. 1 Solve j - 5*j + 3*i = -1, j - i - 1 = 0 for j. -2 Solve y - 3*v = 9, 2*y - 5*y = -3*v - 15 for y. 3 Solve 10 = 3*u - f, -f + 6 = u - 0 for u. 4 Solve 0 = 5*u - n - 3 + 4, 5*u - 11 = 4*n for u. -1 Solve -5*n = 4*r + 65 - 24, 3*n = -5*r - 35 for r. -4 Solve 3*g + 9 = 3*j, -3*g + 4*g + 1 = 3*j for j. -1 Solve -d + 27 = -2*l + 30, 4*d = -4 for l. 1 Solve -13*b - r - 16 = -8*b, 5*b = -3*r - 8 for b. -4 Solve -a - 29*b + 34*b = 13, -10 = 4*a + b for a. -3 Solve 5*a + 2*c - 27 = 4*c, -6 = -2*a - 4*c for a. 5 Solve 5*m - 3*t - 10 = -0*m, -5*m + 5*t = -20 for m. -1 Solve -2 = -4*b + 3*s, -21*b + 20 = -16*b + 5*s for b. 2 Solve -q + 5*k = 27, 5*q - 5*k + 2 = -33 for q. -2 Solve -4*l + 10 = -6, 3 = 5*v + 2*l for v. -1 Solve -5*f = 2*p + 16, 2*f + 0 = 3*p + 5 for p. -3 Solve -6*s + 2*d + 12 = -s, 0 = -4*s + d + 12 for s. 4 Solve 2*u + 2*u = 3*i - 6, 4*i = -4*u + 8 for u. 0 Solve 211*w + 3 = 3*m + 212*w, 0 = 3*m + 5*w + 9 for m. 2 Solve 3*j = -2*d - 2, 5*d = -5*j + 10 - 5 for j. -4 Solve -4*c = 4*o - 4, -2*o - 1 = 3*c - 8 for c. 5 Solve -11 = -4*d - 15, 11 = -3*f + 4*d for f. -5 Solve -5*s = -d - d + 9, -4*s = d + 15 for d. -3 Solve -3*i - 13 = -3*h - 1, 2*i + 2*h + 12 = 0 for i. -5 Solve 0 = 5*a + 10 - 0, 2*w - 4 = 4*a for w. -2 Solve 4*k = 4*h + 3*k + 3, -4*h - 5*k = 9 for h. -1 Solve 21 = -4*m - 4*q - 3, -5*m = 3*q + 24 for m. -3 Solve 4 = 2*s + g, -20 = 4*s - 4*g - g for s. 0 Solve x = 4*u + 3, -5*x - 3*u - 34 + 3 = 0 for x. -5 Solve -m - g + 5 = m, -4*g - 16 = -4*m for m. 3 Solve -2*o + 4 = -2*h, 2*h - h = -2*o + 4 for o. 2 Solve 2*h + 4*v + 6 = 0, 3*v + 3 = 2*h - 12 for h. 3 Solve 5*y + 8 = -3*k, 4*y = 4*k + 8*y for k. 4 Solve -5*w = -u - 15, -4*u + 7*w - 5*w - 6 = 0 for u. 0 Solve z = 1, -2*n - 5 = -3*z - 2 for n. 0 Solve 4*a = -2*s - 8 - 14, 4*s = -12 for a. -4 Solve 0 = -2*l - 2*l + 2*c + 30, 3*c + 15 = 0 for l. 5 Solve 0 = -f + 5*a + 14, -5*f + 3*f + 10 = -4*a for f. -1 Solve -2*v = 2*o, -v + 0 - 12 = 5*o for v. 3 Solve 2*a + 5*d = 22 - 30, -5*a = -3*d + 20 for a. -4 Solve -105*d - 2 = -107*d - 2*a, a - 5 = 3*d for d. -1 Solve -9 = -3*j - 2*d, -j + 16 = 4*j + 3*d for j. 5 Solve 4*x = 3*s + 9, 3*s + 23 + 4 = -2*x for s. -7 Solve -82*l - 11 = -85*l + 5*t, 4 = l - 2*t for l. 2 Solve -j - j = 4*q - 4, -3*j + 8*q = 22 for j. -2 Solve 2*q - 3*z - 2 = 0, q - 12*z - 6 = -13*z for q. 4 Solve 3*o + 4*v = 22, -282*o - 3*v + 10 = -283*o for o. 2 Solve w - 3*b - 4 = 0, -2*w = 4*b + 4 + 8 for w. -2 Solve 5*r = 2*j + 3, -4*j - 13 = 24*r - 27*r for r. -1 Solve 2*b - 8 = 3*d - 5*d, -4*d = -4*b for d. 2 Solve 0 = 4*w - 4*z + 32, w - 8 = -w - 4*z for w. -4 Solve 0 = -5*j - 5*z, 4*j - z = -2 - 8 for j. -2 Solve 1 = 3*k + 2*q, q - 3*q = -3*k + 17 for k. 3 Solve -b = 4*f + 21, -3*f + 3 = 2*b - 4*f for b. -1 Solve -10*v = -8*v - 3*k + 24, 10 = -3*v - 2*k for v. -6 Solve -35*i + 37*i + 4*a - 4 = 0, 0 = 4*i + 4*a for i. -2 Solve c + 4 = -0*c + w, -4*w + 7 = 5*c for c. -1 Solve d - 3*x = -0*d, 5*d = -5*x for d. 0 Solve -2*y = 2*x - 3*x - 8, 2*y - 8 = -2*x for x. 0 Solve 4*d - 5 = 3*h, -20 = -5*h - d - 13 for h. 1 Solve -s - 5*x = -36, -60*s + 5*x - 28 = -63*s for s. -4 Solve -2*j = -2*i - 2, i - 2*j = 5*i - 8 for i. 1 Solve -3*d = v + 20, -12*d - 30 = -10*d + 4*v for d. -5 Solve 3*q = -2*q - 5*t - 35, -4*q + 2 = -2*
{ "pile_set_name": "DM Mathematics" }
h**3 + 5*h**3 - h**5 + (h**2 + 0*h**2 - 3*h**2)*(0*h**3 + h**3 - 2*h**3) - 1 + 1 + 2*h**5. 3*h**5 + 5*h**3 Expand (-5 + 0 + 6)*(-3*t + 4*t**2 + 3*t) + (-3 - 1 + 3)*(-t**2 - 1 + 1) + 1 + t**2 - 1 - 3 + 3 + 2*t**2 - 3*t**2 + t**2 + 0*t**2. 6*t**2 Expand (m - 2*m + 2*m)*(-8 - 3 + 2). -9*m Expand (0 - 2*a + 0)*(a**3 + a**3 + 0*a**3) + (-a**2 - 2*a**2 + a**2)*(a**2 - a**2 + 2*a**2) - 4*a**4 - 3*a**4 + 2*a**4. -13*a**4 Expand (-n - 2*n + n)*(2 + 5 - 2) + n - 1 + 1. -9*n Expand -5*o + 3*o + 7*o + (3 - 3 - 2)*(-2*o + 0*o + 4*o). o Expand (-4*f**2 + 0*f**2 + 3*f**2)*(-3 + 7 + 2) + (f + 3*f - 2*f)*(f + 4*f - 4*f). -4*f**2 Expand -x - 2*x + x + (-2 + x + 2)*(4 - 1 - 5) + 4*x - 4*x + 2*x - 2*x + 3 - 3 + x - 4*x + x + x + 4*x - 6*x + (3 - 3 + 2*x)*(4 - 3 - 3) + 2*x + 0*x - x. -10*x Expand (2 - 2 + 2*s**2)*(0 + 1 + 0)*(-5 + 10 + 6). 22*s**2 Expand -n**5 + 30*n**5 - 13*n**5 - 6*n**5 + 2*n**5 + 2*n**5 + (2*n**2 - n**2 + n**2)*(-3*n + 3*n + 2*n**3) - 2*n**3 - n**5 + 2*n**3. 17*n**5 Expand (-2*f - 2 + 2)*(1 - 4 + 2)*(-6*f - 3*f + 17*f). 16*f**2 Expand (3*u**2 + 6*u - 6*u)*(0*u**2 - u**2 - u**2) + (2*u + 2*u - 3*u)*(0*u**2 + 0*u**2 + 2*u**3). -4*u**4 Expand (39*w**2 + 18*w - 11 - 20*w + 9)*(3*w - w**3 - 3*w). -39*w**5 + 2*w**4 + 2*w**3 Expand -x - 4*x - 3*x + (x + 2*x - 5*x)*(2 - 3 + 3) - 1 - 2*x + 1. -14*x Expand (-7*g + 5*g + 4*g + g**2)*(-1 + 4 - 1). 2*g**2 + 4*g Expand 0*d**2 - 4*d**2 + d**2 + (d + d - 2 + 1)*(-3*d + 6*d - d) - 2*d**2 + 3*d**2 - 3*d**2. -d**2 - 2*d Expand (3*m - 1 + 1)*(4*m - 3*m + 0*m)*(3*m**3 + 2*m**3 - 9*m**3). -12*m**5 Expand 47*a**4 - 13*a**4 - 10*a**4 + (2*a**3 + 2 - 2)*(0*a + 5*a - 6*a). 22*a**4 Expand (0*u**5 - 4*u**5 + 3*u**5)*(-3 + 2 + 2)*(-3 + 8 + 2). -7*u**5 Expand (-3*n - 4*n - n)*(-2*n**2 - 5*n + 6*n + 4*n**2 + 3 - 3 - 2*n**2 + (n - 1 + 1)*(5*n - 5*n + 2*n) + n**2 + 4 - 4). -24*n**3 - 8*n**2 Expand (3 - 4 + 2)*(-4*p - p + 4*p) + 2 - 2 - 4*p + (-1 + 1 + 1)*(-4*p + 6*p - 3*p). -6*p Expand -4 - 2*a**4 + 1 - 3 + 2*a**4 + 3 - 3 + 2*a**4 - 4*a**4 + 3*a**4 - a**2 + a**2 + 2*a**4 + 2*a**3 - 2*a**3 - 2*a**4 + (-1 + 1 - 2)*(3 - 3 + 2*a**4). -3*a**4 - 6 Expand (-o**2 + o**2 + 2*o**2)*(5*o**2 + 0*o**2 - 4*o**2) - o**4 + o**4 + 5*o**4. 7*o**4 Expand -a**2 + 0*a**2 + 0*a**2 + (9*a + a + 5*a)*(-2*a - 2*a + 7*a). 44*a**2 Expand (-2*b**4 - 3*b**2 + 3*b**2)*(-b + 0*b + 0*b) + (5*b**4 - 4*b**4 - 2*b**4)*(2*b + 3*b - 4*b). b**5 Expand (7*t + 2 - 2)*(-3*t - 1 + 1) + 4 + 2*t**2 - 4 - t**2 - 2*t**2 + t**2. -21*t**2 Expand (-n + 3 - 3)*(2 + 0 - 4) - 2*n - 2*n + 5*n + n + 0*n - 2*n. 2*n Expand (-3 + z - 2*z + 0*z)*(4 + 5*z**2 - 4). -5*z**3 - 15*z**2 Expand (0 - 1 + 0)*(-19*w**5 - 28*w**5 + 5*w**5). 42*w**5 Expand -3*d**2 + 3*d**2 + d**5 - 1 + 1 - 2*d**5 + 3*d - 3*d + 2*d**5 + (3*d**2 + d**3 - 3*d**2)*(4*d**2 - 3*d**2 + d**2) - 6*d - 28 - 27 - 2*d**5 + 57. d**5 - 6*d + 2 Expand (h - 2*h + 3*h)*(0*h + 0*h + h**2) + (11*h + h - h)*(-5*h + 0*h + 3*h)*(4*h - 5*h + 3*h). -42*h**3 Expand (3*z**2 - 3*z**2 + 2*z**4)*(3*z - 5*z + 3*z)*(5 - 11 - 2). -16*z**5 Expand (19*t**3 - 278*t**2 + 278*t**2)*(-t + t - 2*t). -38*t**4 Expand (-3*u**4 + u**4 + 0*u**4)*(2 - 7 + 2*u + 2). -4*u**5 + 6*u**4 Expand (-3 - s + 3)*(-2*s + 2*s + s**2)*(-2*s - 4*s + s). 5*s**4 Expand (2 - 2 - a**2 + (-a + a + 2*a)*(0 - 2*a + 0) - 14*a + 7*a**2 + 14*a)*(0*a**2 - 5*a**2 + 3*a**2 + 2*a). -4*a**4 + 4*a**3 Expand 2*k**2 - k**2 - 2*k**2 + (3*k - 3*k - 2*k)*(5 - 7*k - 5) + (3 - 2 + 0)*(-6*k**2 + 2*k**2 + 5*k**2). 14*k**2 Expand (7 - 7 - 4*b + (b - 3*b + b)*(3 + 0 - 2) - b - b + 0*b)*(-1 - 1 + 4). -14*b Expand (-2 - 1 + 1)*(5 + 2*b - 5) + (1 - 3 - 1)*(-7 + 7 + 6*b). -22*b Expand 2*a**4 - a**4 + 0*a**4 + (-3*a**2 + a**2 + 0*a**2)*(0*a + 0*a - 2*a**2). 5*a**4 Expand (-r + 0*r + 3*r)*(0 + 0 - 2)*(2*r + r**2 - 2*r)*(-3*r + 2*r - 2*r). 12*r**4 Expand (13*a + 4*a + 0*a)*(2 - 7 + 3)*(-3*a**2 + 0*a**2 + 2*a**2). 34*a**3 Expand (4*x - 2*x - x)*(2 - 2 - 2*x) + 14*x + 4*x + 5*x**2 - 6*x**2. -3*x**2 + 18*x Expand (-4 + 4 - 16)*(4*l**4 - 4*l**4 - 3*l**4)*(-2*l - 2*l + 6*l). 96*l**5 Expand (3 + 2 - 3)*(2 + f + 1 - 1) + f + 2*f - 2*f. 3*f + 4 Expand 0*h**2 - 2*h**3 + 0*h**2 + (h + h - 3*h)*(4*h**2 + 0*h**2 - 3*h**2) - 3*h**3 + 2*h**3 + 0*h**3. -4*h**3 Expand -o**5 + 5*o**5 - 2*o**5 - 9 + (-5*o**4 + 6*o**4 + 0*o**4)*(-o - o + 4*o). 4*o**5 - 9 Expand (3*b**2 + 2*b**2 - 3*b**2)*(b**2 + 3*b**3 - b**2) + b**5 + 5*b**4 - 5*b**4 + (b - 3*b + 3*b)*(0*b**4 + b**4 - 2*b**4) + 4*b**5 - 4*b**5 - 4*b**5. 2*b**5 Expand (-2*z - 2*z + 2*z)*(5*z - 3*z + 6*z). -16*z**2 Expand (5*y + 3*y - 18*y)*(0 + 1 - 2 + (0 - 1 + 2)*(-3 - 1 + 6)). -10*y Expand -11*t + 8*t**3 + 11*t + 4*t**2 - 4*t**2 - 2*t**3 + (-t**2 + t - t)*(2*t - 2*t + t) + t**3 - 2*t**3 + 3*t**3 + t + 2*t**3 - t. 9*t**3 Expand ((i + 9*i - i)*(-5*i + 0*i + 4*i) + (4 - 1 - 1)*(2*i**2 + 0*i**2 - i**2))*(-3 + 3 - 2*i**2). 14*i**4 Expand (-t**3 - 2*t**5 + t**3)*(0 - 3 - 1). 8*t**5 Expand (0 + 3*i + 0)*(2 + 0 + 1 + (-4 + 2 + 0)*(1 - 4 + 2)). 15*i Expand (1 - l**2 - 1)*((0 - 4 + 3)*(0 + 0 + l) - 1 + 1 - 2*l + 0*l + 2*l - 3*l - 4 - 4*l + 4)*(-5 + 4 + 6). 40*l**3 Expand (2*l**3 + l**4 - 2*l**3 - 2*l**4 - l**2 + l**2 + (-2*l + 3*l + l)*(2*l**3 + l**3 - 4*l**3) + 4 - 2*l**4 - 4)*(-15*l + 3 - 2 + 10*l). 25*l**5 - 5*l**4 Expand (3*w**2 + 3*w**2 + 0*w**2)*(-4*w**2 + 2 - 2). -24*w**4 Expand (-4*w**2 + w**2 + w**5 + w**2)*(0 - 1 - 4). -5*w**5 + 10*w**2 Expand -5*a**5 + 3*a**5 + 5*a**5 - a**3 + a**3 - 3*a**5 + (3 - a**2 - 3)*(-2*a**3 - a + a) + 0*a + 0*a + 2*a**5. 4*a**5 Expand (r**3 + r**3 - 3*r**3)*(-r - r + 3*r) - r**4 + r**4 - 2*r**4 + 4*r**3 - 4*r**3 - r**4 + (5*r**4 - r**4 - 5*r**4)*(-3 + 8 + 3). -12*r**4 Expand (4*q**3 - 10*q**3 + 4*q**3 - 3*q**2)*(-5*q**2 + 7*q**2 + 4*q**2). -12*q**5 - 18*q**4 Expand 76*v**4 - 76*v**4 - 35*v**5 + 0*v**5 - 3*v**5 + v**5 - 5*v**5 + 5*v**5 - 2*v**5 + (-v + 3*v - 4*v)*(2*v**4 - v + v). -43*v**5 Expand (3 - 4 + 3)*(-f**2 - f**2 + 0*f**2) - 2 + 4 + 1 + f**2. -3*f**2 + 3 Expand -2*a**3 + 2*a**3 - a**4 + (-6*a**2 + 4*a**3 + 6*a**2)*(a + 2*a - 4*a) + a**3 - a**4 - a**3. -6*a**4 Expand (0 - 2 + 3)*(17*t**2 - 18 + 24 - 4*t**2). 13*t**2 + 6 Expand (-l + 1 - 1)*(-4 - l**2 + 4) + 27*l**3 + 22*l**3 + 10*l**3. 60*l**3 Expand 4*g**4 - 6*g**4 + 4*g**4 + (3*g + 2 - 2)*(-3 + 3 + 2*g**3) - g**4 + 3*g**4 - g**4. 9*g**4 Expand 2*l**3 - l**3 + 0*l**3 + (-3*l + 3*l + l**2)*(-13*l - l + 0*l). -13*l**3 Expand (6*n + 15 - 15)*(5 - 5 - 1) + 4*n - 4*n - n. -7*n Expand (1 - 1 - 2*n)*(-2 - 1 + 0)*(2 - 2 + 1). 6*n Expand (3*s + 6*s + 0*s)*(5*s**2 - s**2 - s**2) + (s**3 - 2*s**2 + 2*s**2)*(1 + 2 - 2). 28*s**3 Expand (-2 + 1 + 0 + (4 - 3 + 0)*(0 - 3 + 2))*(3*t - 6 + 6)*(-1 + 1 - 1). 6*t Expand 0*v - v + 2*v + (v + 2*v - 5*v)*(-1 - 2 - 1) - 2*v + 3*v + v + (-1 - 1 + 4)*(-2*v + 2 - 2). 7*v Expand (-j**3 + 2 - 2)*(3 + 0*j - 2 - j). j**4 - j**3 Expand (-1 - 2*t**2 + 1)*(5*t**2 - t**2 - 2*t**2) + 0*t**4 - 3*t**4 + 5*t**4 + 50*t - 18*t**4 - 50*t. -20*t**4 Expand (-3 + 3 + w + (-2 + 0 + 3)*(-3*w - w + 2*w))*(0 - 4 + 2)*(-4 - 2 + 1). -10*w Expand (0*i + 5*i + 5*i)*(3*i - 3*i + 2*i). 20*i**2 Expand (-5 - 2*s + 4 - 1)*(-38 + 19*s**3 + 38) - 2*s**4 + 3*s**4 + s**4. -36*s**4 - 38*s**3 Expand (-2 + 2*l + 1 + 2)*(32 + 12 + 73). 234*l + 117 Expand x**4 + 3*x**4 - 3*x**4 + x - x - 2*x**4 + 2*x**4 + 3 - 3 + (-2*x**2 - x**2 + x**2)*(x**2 + 0*x**2 + x**2) - 3*x**3 + 2*x**4 + 3*x**3. -x**4 Expand 2*c**2 - 4*c**2 + c**2 + (-c - 3*c + 6*c)*(-4*c + 2*c + c) - c**2 - 3*c + 3*c + (c + 2*c - 2*c)*(2 - 2*c - 2) + (-1 + 5 - 2)*(-3 + 3 - c**2). -8*c**2 Expand -4*m**3 - 15*m**2 + 15*m**2 + (-m**2 + 0*m + 0*m)*(-1 + 1 + m). -5*m**3 Expand -6*l**5 + 2*l**5 + 3*l**5 + (-l**3 + 2*l**3 - 4*l**3)*((-l**2 + 2*l**2 + l**2)*(-3 - 3 + 7) - 2*l**2 + 8*l**2 + l**2). -28*l**5 Expand (-3*q + 0*q + 2*q)*(2*q - 5*q + 5*q) + (3*q + q - q)*(3*q + 4*q - q). 16*q**2 Expand (-2 - 3 - 6*n + 2)*(0 - n**3 + 0). 6*n**4 + 3*n**3 Expand -z**3 + 2*z**3 + 0*z**3 + (8*z + 0*z - 2*z)*(0 + 0 + 2*z**2). 13*z**3 Expand (x**2 + x**2 + 0*x**2)*(-3*x**2 - x**2 + 3*x**2) + (1 - 1 - 1)*(-6*x**2 + 2*x**4 + 6*x**2) - x**4 - 2 + 2. -5*x**4 Expand (22 + 8*t - 22)*(-5*t**2 + 0*t**2 + 3*t**2) - 12*t**3 + 4*t**2 - 4*t**2. -28*t**3 Expand -3*a**2 - 2*a**2 + 3*a**2 + (0 + 0 - 2*a)*(-1 - 1 + 2*a + 7). -6*a**2 - 10*a Expand 3*k**3 - k**3 - k**3 + 4 + 2*k
{ "pile_set_name": "DM Mathematics" }
18 Let y = -133 - -152. What is the remainder when 53 is divided by y? 15 Suppose c + 2*c + u - 236 = 0, -2*c = -3*u - 172. What is the remainder when c is divided by 14? 10 Let k = -361 - -741. Calculate the remainder when k is divided by 139. 102 Let s = -72 - -103. Suppose -9 + 10 = p. Let a = 9 - p. What is the remainder when s is divided by a? 7 Let t = -152 + 158. What is the remainder when t is divided by 5? 1 Suppose -150 = -z - z - a, -z + 68 = 4*a. Calculate the remainder when z is divided by 26. 24 Suppose -10 = 2*w - 18. Suppose w*u - 101 = g + 40, u + 2*g = 33. Calculate the remainder when u is divided by 20. 15 Calculate the remainder when (-3567)/(-82) + (-2)/(-4) is divided by 14. 2 Calculate the remainder when 517 is divided by (43 - -5) + -1 - -5. 49 What is the remainder when 231 is divided by 1*60 + 1 + 2 + -5? 57 Let q(v) = -348*v - 1. What is the remainder when q(-5) is divided by 12? 11 Suppose -4*b + 251 = -3*s, 2*b - 118 = -0*b + 4*s. What is the remainder when b is divided by 11? 10 Suppose 0 = -4*s - 12, -1348 = -2*a + a - 3*s. What is the remainder when a is divided by 8? 5 Let i be (-60)/(-33) - (-2)/11. Suppose -i*w + 175 = 3*w. Suppose 28 = 4*u - 20. What is the remainder when w is divided by u? 11 Let n = 3 + -3. Suppose n = -5*d - 0 + 5. What is the remainder when 3 is divided by d? 0 Let b(m) = -6*m + 4. Let x be b(-2). Let o = x + -4. What is the remainder when 47 is divided by o? 11 Let g(t) = 27*t + 40*t - 24 - 44*t + 6. What is the remainder when g(4) is divided by 15? 14 Suppose -6*f + 2*f + 1764 = 0. What is the remainder when f is divided by 13? 12 Suppose -44 + 224 = 3*z. Suppose 4*j + 12 - z = 0. Calculate the remainder when ((-1)/(-3))/((-2)/(-138)) is divided by j. 11 Let j(g) = 7*g**2 + 11*g + 3. Let y be j(10). Let i be y/21 + (-2)/(-7). Let o = 60 - i. What is the remainder when 40 is divided by o? 19 Let t(x) = -x**3 + 5*x**2 + 6*x + 5. Suppose 0 = 38*k - 39*k + 6. Calculate the remainder when 12 is divided by t(k). 2 Let z = 27 - 25. What is the remainder when (z/(-8))/((-12)/3408) is divided by 18? 17 Let i = 11 + 722. Calculate the remainder when i is divided by 46. 43 Suppose -4*z + 9 = -i, 4*z + 28 = -2*i + 2*z. Let j = -84 - -78. Let b = j - i. What is the remainder when b is divided by 4? 3 Let c = 2211 + -2196. What is the remainder when 581 is divided by c? 11 Let n(k) = -k - 2 - 3 + 1. Let z(a) = a**2 + 11*a + 3. Let d be z(-9). What is the remainder when 41 is divided by n(d)? 8 Let g = -724 - -876. Suppose -3*y + 37 + 15 = 2*v, -2*y - v + 33 = 0. What is the remainder when g is divided by y? 12 Let h(u) = -15*u**3 + 1 + u**2 + 7*u**3 - 18*u**3 + 0*u + 2*u. Suppose -7*p = -3*p + 4. What is the remainder when h(p) is divided by 14? 12 Let c be 1/(-3 - 76/(-26)). Calculate the remainder when 6 is divided by (-28)/182 - 15/c. 0 Let o(f) = -f**2 - 8*f - 5. Suppose 6*b - b = -4*c, b - 3*c + 19 = 0. What is the remainder when (88/(-4) + -8)/((-6)/4) is divided by o(b)? 9 Let i(f) = 6*f - 82. Calculate the remainder when 158 is divided by i(17). 18 Let a be (18/(-12))/(3/(-130)). Let q = 131 - a. What is the remainder when q is divided by 34? 32 Let s(q) = q**2 + 16*q - 21. Let x be s(8). Suppose -52 = 167*r - x*r. Let h = -35 - -85. What is the remainder when h is divided by r? 11 Let x(m) = -m**3 - 21*m**2 - m + 1. Calculate the remainder when 40 is divided by x(-21). 18 Suppose -4*d + 7 = -197. Calculate the remainder when 203 is divided by d. 50 Let l = -403 - -665. What is the remainder when l is divided by 24? 22 Suppose -76*j - 16348 = -198*j. What is the remainder when j is divided by 35? 29 What is the remainder when 80 is divided by (-528)/(-10) + (-10)/(-50)? 27 Suppose -4*h - d = 36, h = -d - 2*d - 9. Let c = h + 6. Let i(q) = -q**3 - 2*q**2 - 4*q - 4. Calculate the remainder when i(c) is divided by 9. 8 Suppose 0 = m + 2*k - 120, 4*k - 9 = -3*m + 355. Suppose 3*o - 56 = -2. What is the remainder when m is divided by o? 16 Let d = 1270 - 1224. What is the remainder when d is divided by 19? 8 Suppose 4*u - 2 = 14. Calculate the remainder when 61 is divided by u - (5 + (-13 - 4)). 13 Let s = 241 + -136. What is the remainder when s is divided by 36? 33 Let q(g) = -g**3 - 61*g**2 - 63*g - 147. Calculate the remainder when 1880 is divided by q(-60). 32 Suppose 0 = -s - 5*y - 8, -y + 0*y - 32 = 4*s. Let w = -21 + 38. Let m = w + s. What is the remainder when 42 is divided by m? 6 Let p(z) = -3*z**3 - z**2 + 2*z + 2. Let n be p(-2). Suppose n = f - 0. What is the remainder when 0 + 70 + 1 + 0/5 is divided by f? 17 Let c = -1224 - -1619. Calculate the remainder when c is divided by 100. 95 Let w = 7 + -12. Calculate the remainder when (-4)/(-10) - 213/w is divided by 12 + (-9)/2*14/(-21). 13 Let l = 22 - 11. Let d(y) = y**3 + 9*y**2 + 12*y - 12. Let t be d(-7). Suppose -71 = -t*h + l. Calculate the remainder when h is divided by 14. 13 Suppose -11*x = 29 - 2658. What is the remainder when x is divided by 5? 4 Let v(f) = 5*f**2 + f - 13. Let k be v(4). Let b = 31 + k. What is the remainder when b is divided by 35? 32 Let q(k) = k**3 - 7*k**2 + 10. Let n be q(7). Suppose 0 = 9*b - 37 - 71. What is the remainder when 129 is divided by (b/n)/((-2)/(-55))? 30 Let m = -2754 + 2769. Suppose 222 = -2*j + 5*j. What is the remainder when j is divided by m? 14 Suppose -2*u + f = -31, f - 14 - 7 = -2*u. What is the remainder when u/39 + 136/6 is divided by 10? 3 Let u(z) = -9*z + 4. What is the remainder when u(-2) is divided by -24*-5*3/45? 6 Let p = 240 - 166. Let q(f) = f**2 + 7*f - 1. What is the remainder when p is divided by q(3)? 16 What is the remainder when 382/14 - (-12)/(-42) is divided by (-12)/9*363/(-22)? 5 Suppose 288 = 16*d + 2*d. What is the remainder when 4/6 - (-3192)/72 is divided by d? 13 Suppose 39*u - 36*u - 4*f - 530 = 0, -4*f = -4. Calculate the remainder when u is divided by 45. 43 Suppose 3*o + 3 = 0, 0*u - 4*o - 21 = -u. Calculate the remainder when 1288 is divided by u. 13 Suppose 4*p - 6*p + 280 = 0. Suppose -3*l + 5*t - 40 = -153, 4*l - 4*t - p = 0. What is the remainder when l is divided by 12? 7 Let j = 32 + -30. Suppose -u - 2 = -j*u. Calculate the remainder when 51 is divided by 582/30 + u/(-5). 13 Suppose -20*c - 72 = -17*c. Let i = -11 + -31. Let s = c - i. Calculate the remainder when 34 is divided by s. 16 Let x(u) = u**3 - 2*u**2 - 2*u + 2. Let p be x(2). Let s be -1*(-1)/p*-12. What is the remainder when 47 is divided by (-80)/s*(-36)/30? 15 Calculate the remainder when (-5)/(-10) + 575/10 is divided by 22. 14 Let s(c) = -384*c**2 + 16*c - 1. Let n(o) = 77*o**2 - 3*o. Let g(x) = 11*n(x) + 2*s(x). Calculate the remainder when g(-1) is divided by 10. 8 Suppose -p + 80 = -c - 0*c, -20 = 5*c. Suppose -10*a + 12*a = p. What is the remainder when a is divided by 15? 8 Suppose -5*g = -50 + 10. Suppose -3*z + 8 = -4. Suppose y - z*y = -87. Calculate the remainder when y is divided by g. 5 Let i be (-10)/(-15) - (-88)/(-6). Let v = -8 - i. Calculate the remainder when 21 + (-1 - -15) + -7 is divided by v. 4 Let z be 6 + 4/(-12)*0. Let q be (-52)/(-12) + z/9. Suppose q*t + 25 = 0, 4*r = r + 4*t + 116. Calculate the remainder when 61 is divided by r. 29 Let j be 39/(-6) + (-4)/(-8). Let g(h) = h**3 + 7*h**2 - h + 4. Let f = 37 + -21. What is the remainder when g(j) is divided by f? 14 Suppose -4*f + 0*y + 38 = 3*y, 5*f + 2*y = 44. Suppose j - 3*s = 28, -j = -s + f - 30. Calculate the remainder when 35 is divided by j. 16 Let f = -35 - -42. Let k = 26 + -15. Suppose 2*g - f = k. What is the remainder when g is divided by 6? 3 Let k(z) = -2*z + 5. Let q(x) = x**3 - 19*x**2 - 20*x + 8. What is the remainder when k(-4) is divided by q(20)? 5 Let a(q) = -q**2 + 25*q + 16. What is the remainder when 158/6 + 2/(-6) is divided by a(25)? 10 Let m(v) = -6*v**2 - 42*v + 9. What is the remainder when 52 is divided by m(-7)? 7 Let d be ((-2)/(-6))/(2/(-6)). Let f be (10/35)/(d/(-14)). Suppose -v - 3*v + 148 = f*t, 0 = -t - 5*v + 53. Calculate the remainder when t is divided by 12. 9 Suppose 9*t - 4*t = 255. Let x = 7784 - 7764. Calculate the remainder when t is divided by x. 11 Let m(n) = -2*n**3 - n**2 + 4*n - 6. Let v be m(-4). Suppose -15*w = -18*w + v. What is the remainde
{ "pile_set_name": "DM Mathematics" }
0 + 40 - 31*r)*(3*r + 4 + 1 - 5) to the form o*r + s*r**2 + v and give s. -84 Rearrange 3 + 1272*l + 2767*l - 1484*l - 3 to d + w*l and give w. 2555 Rearrange -2*y**2 + 130*y**3 - y - 61*y**3 + 78*y**3 + 319*y**3 + 241*y**3 - 3 to s*y + z*y**3 + l*y**2 + n and give z. 707 Rearrange (6 + 9 + 3)*(-12 + 40 - 17)*(5*q**2 + 0*q**2 + q**2) to the form i*q + c*q**2 + f and give c. 1188 Rearrange -2*v - 1 + 2*v - v**2 - 54*v**2 + 11*v**2 - 60*v**2 + (v + 0*v - 3*v)*(2*v + 2*v - 2*v) to a + b*v**2 + g*v and give b. -108 Rearrange (15 + 1 + 21)*(-13 + 13 - x)*(-4*x - 202 + 202) to the form b*x**2 + k*x + i and give b. 148 Rearrange (21*s**2 - 3 + 2 - 9*s**2)*(-1203 + 578 + 562) to the form g*s**2 + t + k*s and give g. -756 Rearrange (7*a + 6*a**2 - 7*a)*(-3*a - 4*a + 6*a) + (-32*a + 15 - 15)*(-17*a**2 - 22*a**2 + 37*a**2) to the form h*a**3 + x + m*a + b*a**2 and give h. 58 Rearrange 0 - 45*a**4 + 30*a**4 + 1 + 14*a**4 - 9*a**3 to z*a**2 + b*a**4 + s*a**3 + v + o*a and give b. -1 Rearrange 2*m + 2*m**2 + 3*m - 2 + 1473*m**3 - 1472*m**3 + m to the form l*m**2 + q*m**3 + w + h*m and give l. 2 Express (3*t**2 - 2*t + 2*t)*(-26 - 72 + 246 + 199) as a*t + k + f*t**2 and give f. 1041 Rearrange 2408*u**2 - 521*u**2 + 183*u**2 to w*u**2 + x + q*u and give q. 0 Express (-2*u + 2*u - 2*u**3)*(1282*u - 3133*u - 322*u) as w*u**2 + f*u**4 + h + p*u**3 + l*u and give f. 4346 Rearrange 63*l**2 - 135 + 62 + 25*l**3 - 28*l**3 + 72 to r + n*l**2 + i*l + s*l**3 and give n. 63 Express a**4 + 375*a + 9*a**3 - 718*a + 351*a - 3*a**2 in the form z + q*a**3 + n*a**4 + p*a + k*a**2 and give q. 9 Rearrange 11*h**3 - h**2 - 10*h**3 - 36*h - h**4 - 6*h**4 - 3*h**4 + 38*h to y*h**2 + o*h + l*h**4 + u*h**3 + f and give l. -10 Rearrange (-1 + 1 + 2*t)*(-9*t + 306639 + 268*t**3 - 306639) to the form s*t**4 + k*t**2 + d*t**3 + o*t + j and give k. -18 Express 5*q - 2702 + 1377 + 1470 in the form x + y*q and give y. 5 Rearrange -1773*h**2 + 2*h**3 + 10*h + 877*h**2 + 895*h**2 to a*h**2 + o*h**3 + w*h + j and give a. -1 Express -21*q + 87*q - 22*q - 3771*q**2 - 44*q in the form b + n*q**2 + l*q and give n. -3771 Rearrange (27*w**2 + w**2 + 12*w**2)*(-w**2 - w**2 - 4*w**2)*(-8 + 5 + 6) to the form k*w**4 + t*w + l*w**2 + c*w**3 + d and give k. -720 Rearrange -2*f + f - 8*f + (1 - 1 + 1)*(f + 2*f - 2*f) + 39*f + 3*f - 7*f - 2*f + 33*f - 3*f + 2 - 5 - f + 2 to r*f + x and give r. 54 Rearrange -12943*p**2 + 26017*p**2 - 12900*p**2 to the form z*p + t + i*p**2 and give i. 174 Express 55*p + 56*p + 1 - 55*p + 146*p**2 + 316*p**2 - 2*p**4 - 58*p as o*p**2 + b + z*p**3 + n*p + u*p**4 and give o. 462 Express (446*i - 446*i - 28*i**2)*(-3*i - 2*i + 3*i) - 2*i**3 - 6*i**2 + 6*i**2 + 41 + 3*i**3 - 41 as v*i + r*i**3 + g + x*i**2 and give r. 57 Express -29*n**3 - 3169455*n**4 - 17*n**2 + 3169454*n**4 + 4*n**2 - 12 as y + k*n**4 + z*n + j*n**3 + p*n**2 and give k. -1 Express p**3 + 83*p**2 + 12*p - 102 - 76*p**2 + 103 - 7*p as n*p + q*p**2 + d*p**3 + w and give q. 7 Express -106*t**3 + 22*t**3 + 11 + 29*t**3 - t**4 + 30*t**3 - 4*t + 18*t**3 - 2*t**2 in the form h*t**4 + o + a*t**2 + l*t**3 + g*t and give h. -1 Express 4848*f - 4851*f + f**2 - 25*f**4 - 2*f**3 + 4*f**3 as x*f + u*f**3 + n + h*f**4 + j*f**2 and give u. 2 Rearrange -78 - 2*z**3 - 1897 + 4*z**3 + 16 + 2*z to the form q + k*z**2 + h*z + s*z**3 and give h. 2 Rearrange -6240*m - 14188529 + 14188529 to the form s*m + b and give s. -6240 Rearrange 2*f - 275592*f**2 + 275571*f**2 - 4*f**4 - f**3 + 3 + 2*f**3 to the form g*f**4 + c*f**3 + v + k*f + h*f**2 and give k. 2 Rearrange (2 - 6 + 2)*(160*d**2 - 30*d**2 + 4*d**2 + (-4*d + 2*d + 3*d)*(2*d - 4*d - d)) to g + p*d + m*d**2 and give m. -262 Express 2*l + 2 - 2 + (3 + 0 - 6)*(31*l + 61*l - 22*l) + (3 - 5 - 8)*(-3 + 2 + 0)*(-16*l - 191 + 191) in the form s*l + a and give s. -368 Express -3*n**4 + n**4 + 3*n**4 - 465 - 158*n**4 + 465 + (-2*n**3 + 2 - 2)*(0*n + 85 - 94 - 8*n) as r + y*n + c*n**3 + a*n**4 + s*n**2 and give a. -141 Rearrange (-44*j + 12*j - 73*j)*(6 + 4 + 3) to f*j + g and give f. -1365 Express (3*r - r - r)*(0*r**2 - r**2 + 0*r**2) - 8*r + 8*r - 4*r**3 + 1 + r**3 + 4173*r**2 - 4181*r**2 + r - 6 in the form c*r**2 + a*r + v*r**3 + w and give c. -8 Rearrange (-9*g + 3*g - 15*g)*(10*g + 3*g + 11 - 30*g + 8*g) to s*g + q + m*g**2 and give m. 189 Express -11*h**3 + h - 236*h**4 + 471*h**4 - 24*h**3 - 230*h**4 - 2*h**2 - 4 - h**3 in the form m*h + i + s*h**3 + q*h**2 + x*h**4 and give i. -4 Express (75 - 45 - 49 - 20935*h + 19)*(4*h**2 + h**3 - 4*h**2) in the form v*h**2 + t*h**4 + n + x*h + y*h**3 and give n. 0 Rearrange 4*o**2 + 33*o**3 + 4*o + 58*o + 1 - 60*o - o**2 + 0 to the form i + b*o**2 + a*o**3 + p*o and give i. 1 Rearrange (0 + 3 + 2)*(-3*u + 3*u + 8*u) - 1402 + 1402 + 26*u to a*u + j and give a. 66 Express (-864*b - 191*b**2 + 864*b)*(0 + 2 - 9)*(2 + 0 - 3) as t + a*b + j*b**2 and give j. -1337 Rearrange -654*o**4 + 1121402 + o**2 - 2242796 + 1121392 to y + m*o**3 + u*o**2 + n*o**4 + j*o and give u. 1 Rearrange (39281 - 831 + 2842)*(3*m - 4*m + 0*m) to the form n*m + c and give n. -41292 Express (452*y + 39*y + 4117 - 4124 + 264*y)*(3 - 1 + 0) as h + b*y and give h. -14 Express 37*o**3 - 3*o**4 + 126*o**2 + 6 - 238*o**2 + 114*o**2 - 4 in the form d*o + y*o**3 + c*o**4 + p + i*o**2 and give c. -3 Express 468 + 653 + 46 + 83 + s - 2*s in the form n*s + q and give q. 1250 Express 93 + 91 + 151 - 336 + 1073*r in the form a*r + o and give a. 1073 Rearrange -157 + 33 + 79*u + 53 + 40 + 33 to h + r*u and give h. 2 Express -20323 + 20323 - 1941*x in the form w + q*x and give q. -1941 Rearrange (3 - 3*u - 3)*(88 + 1360*u - 46 - 42 + 3092*u) to the form n*u**2 + o*u + y and give n. -13356 Express -77362*o**3 - 77362*o**3 - 311*o + 154722*o**3 in the form b*o**3 + p*o + f + y*o**2 and give p. -311 Express 34*u**2 - 95 - 4*u**4 + 2*u + 50*u**2 + 58*u**2 - 153*u**2 + u**4 in the form j*u**2 + a + f*u + k*u**4 + p*u**3 and give a. -95 Express 0 - 3*r**2 + 5*r**2 + 65121*r - 65119*r - 6 + 0 in the form b*r**2 + y*r + x and give x. -6 Rearrange -q**2 + 415*q - 2 + 1132*q**3 - 563*q**3 - 568*q**3 to c*q**3 + x + v*q**2 + o*q and give c. 1 Express 7*k**2 + 4 - 12*k + 53133*k**3 - 52935*k**3 + 12*k in the form w*k**2 + p*k**3 + h*k + v and give p. 198 Rearrange -4*p + 5*p - 2*p + (3*p - 2*p + p)*(-1 - 1 + 1) + (-64 + 40 + 38)*(-3*p - 7 + 7) + (3 - 2 + 3)*(-2*p + 1 - 1) to the form c + a*p and give c. 0 Express 1142 - 209*j**2 - 571 - 40*j**2 - 571 + j as u*j**2 + z + k*j and give u. -249 Express -5*n**2 + 1 - 24*n**3 + 5*n**2 + 807*n**4 - 815*n**4 as o*n**2 + u*n**3 + y*n + s + d*n**4 and give d. -8 Express (-2 - 1 + 1)*(22479*x + 83 - 44953*x + 22476*x) as s + a*x and give a. -4 Rearrange -999 + 3*k**3 + 420 + 4*k**2 + 2*k + k**4 + 567 to j + t*k + f*k**4 + z*k**2 + n*k**3 and give j. -12 Rearrange -2*o**3 - 28*o**2 + 8 - 40*o - 2 + 13*o**2 + 15*o**2 to the form p*o + v + c*o**3 + b*o**2 and give b. 0 Rearrange -22 + 13*d**3 + 7 + 103*d**2 - 9*d**3 - 10*d**3 + 12 to q + k*d**3 + t*d**2 + u*d and give q. -3 Express -1458*w**2 - 2*w**3 + 4*w**3 + 0*w**3 + 5505*w**2 as p*w + k*w**3 + y*w**2 + r and give y. 4047 Rearrange -29 - 2*o - 3281*o**3 + 6*o**2 + 28 + 3214*o**3 to l*o**2 + m*o + p + a*o**3 and give l. 6 Express 8774*r**3 - r**2 + 0 - 4383*r**3 - 4388*r**3 + 0 - 43*r in the form v + k*r + z*r**3 + d*r**2 and give d. -1 Rearrange 26 - 627*a**2 - 9 + 7*a - 8 - 11 to t + k*a + m*a**2 and give m. -627 Rearrange (-2 + 3 + 1)*(4*t - 4*t - t**3)*(27001*t - 5082*t + 170*t) + 0*t**4 - 4*t**4 + 2*t**4 to i*t**3 + v*t**4 + r*t**2 + j + x*t and give v. -44180 Rearrange (-6*q**2 + 20*q**2 + 37*q**2 + (q - 4*q + q)*(49 - 11*q - 49))*(0 + 0 + 2*q**2) to d*q**2 + v*q**4 + x*q**3 + p*q + a and give v. 146 Express (316*w - 211*w + 265*w)*(3 - 5 - 3)*(-2 - 2*w + 2 + (7*w - 2*w - 4*w)*(-4 + 1 + 1)) as l*w**2 + z*w + n and give l. 7400 Rearrange (105*l**2 + 18*l**3 - 105*l**2)*(0 + 2 - 5)*(-4*l + 4 - 4) + l**4 - 9*l**4 + l**4 to p*l**2 + m*l + d*l**3 + w + v*l**4 and give v. 209 Rearrange 2*s**4 - 2*s**3 - 10121*s**2 + 102 + 2*s + 0*s - 3*s + 20235*s**2 - 10111*s**2 to the form j + d*s**3 + r*s**4 + w*s + u*s**2 and give u. 3 Express -8237 + 2*f - f**4 + 16477 - 8244 + 7*f**3 in the form s*f**2 + r + q*f**4
{ "pile_set_name": "DM Mathematics" }
f 119710260? True Is 4253298 a multiple of 1666? True Is 22 a factor of 51217897? False Does 7910 divide 657020420? True Is 3454516098 a multiple of 127? False Is 46156377 a multiple of 1173? True Does 648 divide 73192248? True Does 81 divide 51722477? False Does 42 divide 394878415? False Does 8804 divide 1758580644? False Is 13092184 a multiple of 56? True Is 56 a factor of 2665063241? False Is 298045431 a multiple of 69? True Does 285 divide 119704778? False Does 7 divide 22634948? True Is 985 a factor of 322907625? True Does 28 divide 840617257? False Is 13636523 a multiple of 148? False Is 1588 a factor of 99269269? False Does 245 divide 33331025? True Is 16392592 a multiple of 85? False Is 569 a factor of 49849773? False Is 2 a factor of 3084164? True Does 2133 divide 11903636? False Is 258143098 a multiple of 262? True Does 9 divide 12809814? False Does 2374 divide 139720321? False Is 1139059676 a multiple of 197? False Is 345 a factor of 217377389? False Is 2177 a factor of 862608548? False Is 339379328 a multiple of 118? True Does 23 divide 7760890? True Does 129 divide 4128903? True Is 67548416 a multiple of 832? True Is 143146791 a multiple of 6008? False Is 132 a factor of 19412282? False Does 44 divide 233024? True Is 117764040 a multiple of 3720? True Does 155 divide 4762530? True Is 124524987 a multiple of 56? False Does 70 divide 1063535550? True Is 1175423268 a multiple of 3982? False Is 636413 a multiple of 21? False Is 10383282 a multiple of 13? True Is 3816 a factor of 51828912? True Is 30085449 a multiple of 9? False Is 2510504352 a multiple of 1368? True Is 45407061 a multiple of 81? True Is 25778739 a multiple of 3? True Is 208 a factor of 2692216384? True Is 26 a factor of 112750274? True Does 1549 divide 645834529? False Does 32 divide 34101519? False Is 35 a factor of 3487617? False Is 130 a factor of 143303290? True Is 1414085268 a multiple of 9991? False Is 1122511311 a multiple of 164? False Is 6023431 a multiple of 5? False Is 1821 a factor of 689606044? False Does 55 divide 8567062? False Does 98 divide 117665464? True Is 10714284 a multiple of 21? True Is 176370342 a multiple of 37? True Is 73 a factor of 120510530? False Is 1898 a multiple of 949? True Does 12 divide 2093039644? False Is 405 a factor of 1802178? False Is 237074736 a multiple of 24? True Is 3369494696 a multiple of 287? False Is 402970950 a multiple of 423? True Is 251653853 a multiple of 7661? False Is 203 a factor of 520450994? True Does 1329 divide 2254950995? False Is 30297685 a multiple of 1501? True Is 1950 a factor of 43122300? True Is 30 a factor of 62056860? True Is 49 a factor of 109788175? True Is 15 a factor of 25887450? True Is 9 a factor of 226713282? False Is 231 a factor of 75873541? False Is 4968579 a multiple of 21? True Does 91 divide 593593? True Does 504 divide 67592952? True Does 6415 divide 290984400? True Is 44 a factor of 7773832? True Does 413 divide 306955642? True Is 1275652914 a multiple of 99? False Does 2090 divide 51236859? False Does 6 divide 79052520? True Does 101 divide 7271635? False Is 743 a factor of 1345708226? True Is 65255804 a multiple of 33? False Is 1974712950 a multiple of 203? True Is 1934 a factor of 641198360? True Is 190245024 a multiple of 2736? True Is 45 a factor of 255084705? True Does 2073 divide 307529127? False Is 23 a factor of 709857869? False Does 18 divide 1946438712? True Is 52 a factor of 46882992? True Is 222 a factor of 13274490? True Is 90506920 a multiple of 10? True Does 564 divide 17297471? False Is 13691912 a multiple of 52? True Does 701 divide 53362924? True Is 4950 a factor of 702986821? False Is 6683425 a multiple of 12? False Is 48 a factor of 402428064? True Is 2066538 a multiple of 3? True Does 89 divide 101552198? False Is 81379192 a multiple of 1709? False Does 40 divide 153681880? True Is 165597584 a multiple of 5? False Does 847 divide 257622403? False Is 17 a factor of 212654? False Is 86954714 a multiple of 1694? True Does 717 divide 164187996? False Is 3584 a factor of 20995072? True Is 6615 a factor of 142427565? True Is 344 a factor of 207607784? True Does 3069 divide 711148680? True Is 158494128 a multiple of 408? True Is 45068562 a multiple of 198? True Does 1312 divide 819780592? False Is 2365975 a multiple of 19? True Does 87 divide 39724287? True Is 6316584 a multiple of 18? False Is 80 a factor of 19136253? False Does 23 divide 1028020765? True Is 13 a factor of 36838548? False Does 10 divide 45641330? True Is 2095 a factor of 123077060? True Does 25 divide 93258384? False Is 2472 a factor of 2340081183? False Is 136 a factor of 12381598? False Does 118 divide 378070400? False Is 64702676 a multiple of 1999? False Is 14497106 a multiple of 44? False Does 66 divide 116361432? True Is 7035168 a multiple of 232? True Does 408 divide 830222825? False Is 111159731 a multiple of 15? False Is 150738340 a multiple of 12? False Is 1942 a factor of 911380515? False Is 4 a factor of 297396983? False Is 1338250880 a multiple of 640? True Does 324 divide 62524548? True Is 172 a factor of 95363508? True Is 36 a factor of 1559596553? False Is 486991782 a multiple of 1251? True Does 22 divide 11682815? False Does 23 divide 3383829? True Is 24 a factor of 1526606376? True Is 115138929 a multiple of 270? False Does 151 divide 3981686792? False Does 5 divide 1117421415? True Is 97 a factor of 259995114? True Is 18765127 a multiple of 627? False Does 426 divide 134639430? True Does 5 divide 152207180? True Does 8 divide 7229936? True Does 87 divide 97397544? True Is 165827620 a multiple of 140? True Is 184446554 a multiple of 1940? False Does 3889 divide 378457255? False Is 37 a factor of 140668894? True Is 28653761 a multiple of 4127? True Does 2025 divide 983203895? False Is 63 a factor of 29457288? True Is 216255392 a multiple of 4? True Does 49 divide 59970806? True Is 1888 a factor of 922565536? True Is 16 a factor of 239797911? False Does 4 divide 149469820? True Is 213131034 a multiple of 205? False Is 67176825 a multiple of 15? True Is 18 a factor of 31225968? True Is 821220012 a multiple of 36? True Is 120589303 a multiple of 934? False Does 619 divide 40800213? False Does 65 divide 1084557212? False Is 689140229 a multiple of 209? False Is 18 a factor of 157294211? False Is 638 a factor of 25105300? True Is 4103358678 a multiple of 129? True Is 21867380 a multiple of 566? False Is 23 a factor of 638983? False Is 69573661 a multiple of 131? False Does 14 divide 59401916? True Does 572 divide 76462229? False Is 278393413 a multiple of 1719? False Does 22 divide 92249348? False Is 335 a factor of 324233801? False Is 180 a factor of 16110221? False Is 912068570 a multiple of 70? True Does 1667 divide 27112088? True Does 9 divide 102912048? True Does 66 divide 8833440? True Is 34541237 a multiple of 25? False Is 7223 a factor of 546022685? True Does 273 divide 10146045? True Does 347 divide 99214934? True Does 2232 divide 461435352? False Is 1032 a factor of 916961928? True Does 33 divide 2753188? False Does 9 divide 86605137? True Is 34 a factor of 221823405? False Is 322 a factor of 1123780? True Does 6 divide 12025452? True Does 1962 divide 341289017? False Is 184 a factor of 25208081? False Does 48 divide 219981730? False Is 368274181 a multiple of 1266? False Is 14 a factor of 128003440? False Is 90599424 a multiple of 3504? True Is 2433 a factor of 72749883? False Does 340 divide 14432255? False Is 1950 a factor of 39723450? True Does 35 divide 86254686? False Is 6 a factor of 72617958? True Is 105 a factor of 142039854? False Is 16607667 a multiple of 267? True Is 93 a factor of 673271000? False Is 905392017 a multiple of 453? False Does 661 divide 825725166? True Is 17189751 a multiple of 40? False Does 182 divide 8908255? False Is 44 a factor of 442758668? True Does 25 divide 270657467? False Does 121 divide 845986383? True Does 418 divide 24282456? True Does 274 divide 21609284? True Is 35 a factor of 64852724? False Is 721057358 a multiple of 146? False Is 2347744860 a multiple of 1377? False Is 23 a factor of 4429593? True Does 371 divide 8859480? True Is 14 a factor of 28561960? True Is 190268838 a multiple of 81? True Does 295 divide 926838080? True I
{ "pile_set_name": "DM Mathematics" }
hich is the second smallest value? (a) 514 (b) 2/5 (c) -100.2 (d) -0.1 d Which is the biggest value? (a) 0 (b) -527.9 (c) 15.06 c What is the sixth smallest value in 0.021, 0.3, 4, -3/22, -2, 1/10? 4 Which is the biggest value? (a) -9.6388 (b) 0.24 (c) 4 (d) 0.1 (e) 0.5 (f) 0.3 c What is the fourth biggest value in 2, -11858323, 1, -20? -11858323 What is the fourth smallest value in -0.5, -3, 1/3945, 39, 2? 2 Which is the fourth biggest value? (a) -1/599 (b) -3/55 (c) 3 (d) -2 (e) -5 d What is the sixth biggest value in -5, 0.3, 4.18, -5/398, 0, 5? -5 Which is the second smallest value? (a) 0.057 (b) -2/3 (c) 6 (d) -1 (e) -16 (f) 0.5 (g) 2 d What is the second biggest value in -4, 2/5, 6/7, -0.188, 2/3? 2/3 What is the fourth smallest value in -4, -1/3, -2/13, 44401, -2/3, -15? -1/3 What is the third biggest value in -1, 5073/7, -4, -5? -4 What is the smallest value in 3, -8/13, 6, 2/7, 262/3, 4? -8/13 What is the third biggest value in -8126, -20/13, 12, 0.1, 0.3? 0.1 Which is the second smallest value? (a) 12980 (b) -166 (c) -3 c What is the sixth smallest value in 5, -0.1124, 0, -4, 2/5, 64/23, -2/13? 64/23 What is the fourth smallest value in 2.46, -4, -27, 2, -3/4, 4/5? 4/5 What is the biggest value in -864, -3, 213/47? 213/47 What is the second smallest value in 0.138, 2/9, -0.3, -137, -1? -1 Which is the second smallest value? (a) 762329/38 (b) -2 (c) 4 c Which is the fourth smallest value? (a) -1/24 (b) -26/9 (c) -1 (d) -55 (e) 5 a What is the biggest value in 28.3, -1/42516, -5? 28.3 Which is the fourth biggest value? (a) -0.035 (b) 1/2 (c) -5/6 (d) -11 (e) 3/5 (f) -0.7 (g) -2/3 g Which is the fourth biggest value? (a) -11 (b) 1.07 (c) -7 (d) 0.5 (e) -1 (f) 40 (g) -5 e Which is the fifth smallest value? (a) -2/7 (b) -1 (c) 2/49 (d) 53 (e) 1 d Which is the sixth biggest value? (a) -1/3 (b) 2/3 (c) -0.4 (d) 1/3 (e) -20.87 (f) 0 (g) -0.02 c What is the fourth biggest value in 1/4, 5/2, -0.2, 5/3, -132, -106.1? -0.2 What is the biggest value in -5, -5/11, -4/7, 0.3, -3/4, 5, 1/3163? 5 Which is the second smallest value? (a) 0 (b) -5 (c) -37704606 b Which is the fourth smallest value? (a) -4844.4 (b) -5 (c) -0.0907 (d) 0.2 (e) 1 d What is the second biggest value in 0.03, -4, 562, -56.3? 0.03 What is the third smallest value in -1, 247, 2/9, 8101, 1? 1 Which is the fourth smallest value? (a) -0.011 (b) -0.4 (c) 5/17 (d) -0.1 (e) 4 c Which is the smallest value? (a) -4.6 (b) 10 (c) -9/4 (d) -0.1 a Which is the fifth smallest value? (a) 48 (b) 976 (c) -1 (d) -2 (e) 0.3 (f) 4 a Which is the biggest value? (a) 0.1186 (b) 9 (c) 3/4 (d) 1/8 (e) -15.4 b What is the smallest value in -31, 90, 5, -9/25, -3, 0.1, 1/5? -31 What is the third biggest value in 0, 0.092, -0.5, -229, -2, -2/25? -2/25 Which is the third biggest value? (a) 3 (b) 2 (c) 0.071 (d) -1/2 (e) -72 c Which is the fourth biggest value? (a) -1/4 (b) 1 (c) 1/68 (d) -34/33 d Which is the third biggest value? (a) -945801 (b) -5/3 (c) 0.4 a Which is the smallest value? (a) 2 (b) -2 (c) 4/3 (d) -313 (e) -3 (f) -115 d Which is the smallest value? (a) -2/767 (b) 1/9 (c) -3/2 (d) -61 d What is the second biggest value in 683, 7647, 0? 683 What is the fifth biggest value in 165, 6/19, -11, -3/2, 2/9, 0? -3/2 Which is the second smallest value? (a) -107 (b) 89/3 (c) -33 (d) -6 c What is the third biggest value in 1/4, 23338, 0.1, 0? 0.1 What is the biggest value in 82, -14568, 4? 82 Which is the third smallest value? (a) -2/9 (b) 0.4 (c) -149 (d) -4938 a What is the fourth smallest value in -3, 2/15, 0.35421, 1/7, 0.2, -2/45, 5? 1/7 What is the sixth smallest value in 5/6, 2, -21/10, 1, -16, -5, 2/9? 1 What is the smallest value in 2/825, -0.1, -0.03, -0.3, 3/37? -0.3 Which is the fourth smallest value? (a) -255/2 (b) 4 (c) -251.1 (d) -1 b What is the fourth smallest value in -1/20, 120, -33, 540? 540 What is the sixth biggest value in 4, -235, 0.3, 127, 0.05, 3? -235 Which is the fifth smallest value? (a) 16 (b) 1 (c) -0.043 (d) 0.3 (e) 1/2 (f) 30 a What is the sixth biggest value in -0.383, -0.4, -1, -1/3, -0.0586, 5? -1 Which is the fifth smallest value? (a) 1 (b) 37 (c) 1.4 (d) 43 (e) -0.78 d Which is the smallest value? (a) 28 (b) -10 (c) 5 (d) -1/3 (e) 19/2 (f) -1/2 b Which is the second biggest value? (a) 0.08 (b) 1773 (c) 0 (d) 17/4 (e) -0.2 (f) 3 (g) 0.5 d What is the sixth smallest value in -3, -0.1, 7/3, -5, 73, -317? 73 Which is the fifth smallest value? (a) -80.9 (b) -0.5 (c) -5 (d) 6.6 (e) -0.2 (f) -1 (g) -0.4 g What is the second biggest value in 7.48, -54, 65/63? 65/63 Which is the second smallest value? (a) -1 (b) -4 (c) 142.7151 a Which is the sixth biggest value? (a) -4/9 (b) -215 (c) -1205 (d) 2 (e) 3/7 (f) 1 c Which is the sixth smallest value? (a) -27 (b) -2 (c) 1/9 (d) -6/7 (e) 4/9 (f) -34.7 (g) 38 e What is the fourth smallest value in -37492, 2/7, 0.45, -2? 0.45 Which is the smallest value? (a) 6/41 (b) 15 (c) 1/3 (d) -7 (e) 3 (f) 5/2 d What is the third biggest value in 0.044, -59101, -2/5? -59101 What is the sixth biggest value in 15.3, 0, 0.3, -2, -9, -407? -407 What is the biggest value in 1/24, -3/7, 129865? 129865 What is the second smallest value in 0, 16091, 0.153, 0.2, -2/3? 0 What is the fifth smallest value in -3, -3/22, 0.2, -2/15, 5? 5 What is the second smallest value in -6, -3/5, 3936, 39/55? -3/5 What is the third smallest value in 3/7, 1.51, 5.2834? 5.2834 Which is the fourth smallest value? (a) -3 (b) -7 (c) -26 (d) 1.42 d What is the third smallest value in -17/27, 4, 0.022, -2/9, 0, 32? 0 Which is the second smallest value? (a) 1804 (b) -2882 (c) -2 c What is the fifth smallest value in -40185, -3, 0.2, -1, 58? 58 What is the biggest value in -0.03, 523/12, -0.3, 158? 158 What is the sixth smallest value in 2/7, 2/17, -1/3, -1, 150, -25? 150 Which is the third smallest value? (a) 1 (b) -14/319 (c) -24/17 (d) -2.5 (e) 0.4 b Which is the sixth biggest value? (a) -0.1 (b) 2/5 (c) 1 (d) -110.8 (e) -0.2 (f) -8 (g) 12 f What is the fourth smallest value in 43, -2.3, -0.5, -5/3, -2? -0.5 Which is the second smallest value? (a) 1/153 (b) -24861 (c) -2/13 (d) 4/7 (e) -1 (f) 3/2 e What is the third biggest value in 0, -72, -334, 0.01? -72 What is the fourth smallest value in -9972, 2/13, 10.6, 2/37? 10.6 Which is the seventh smallest value? (a) 21 (b) -3 (c) 1 (d) -0.5 (e) 0.021 (f) 280 (g) -2/3 f Which is the fourth smallest value? (a) 0.4 (b) -10 (c) -6 (d) 5 (e) -2/5 (f) 1226 (g) -2/11 g Which is the sixth smallest value? (a) -2/7 (b) 35/6 (c) -5 (d) -12/31 (e) -2 (f) 6 (g) 1.7 b What is the third smallest value in -93, -2/11, -0.1, -4/7, -433, -2/5, 0.3? -4/7 Which is the third smallest value? (a) -1/5 (b) -9504217 (c) 2 c Which is the fourth biggest value? (a) 0.1 (b) 0.4 (c) -6 (d) 5845 (e) -0.07 (f) -1 (g) 0.5 a What is the third smallest value in -1, -4/5, 2, 57, -982/7, -5, 0.5? -1 Which is the biggest value? (a) -2/3 (b) -5/4 (c) 2/5 (d) 1/2 (e) 5 (f) -17/5 (g) 216 g Which is the fifth smallest value? (a) 0.5 (b) -9 (c) -80341 (d) 5 (e) 6 e What is the smallest value in 6.25, 0.1, 1/11, 6128? 1/11 Which is the fourth smallest value? (a) -4 (b) 0.1 (c) 184022 (d) -0.2 (e) -0.08 (f) 1/2 b Which is the second smallest value? (a) -1/5 (b) -3023 (c) 4/7553 a Which is the fifth biggest value? (a) 4.2 (b) -61 (c) 5 (d) -1/7 (e) -9 (f) 0 e What is the second biggest value in -2/13, -5, -0.35, -0.2, -9, 0.08, -27? -2/13 What is the second smallest value in -66, -0.4, -0.15, 0.96? -0.4 Which is the fourth smallest value? (a) 0.2 (b) -1 (c) -399899 (d) 0 (e) 3 a Which is the fourth smallest value? (a) -37 (b) -15781 (c) 3 (d) 29 d Which is the third smallest value? (a) -2/3 (b) -45/164 (c) -3/40 c Which is the second biggest value? (a) -3/7 (b) 9.055 (c) 0.04 (d) -0.03 c Which is the third smallest value? (a) -0.647 (b) -2/475 (c) -4 b What is the fifth smallest value in -21, -1/5, 0.698, -1/6, -10.8, 2? 0.698 What is the fifth biggest value in 0.2, 2, -38, -0.111, -1, 125/2, -2/3?
{ "pile_set_name": "DM Mathematics" }
7612, -11475, -15920, -20845, -26148? -31727 What is the next term in 17083105, 34166208, 51249311, 68332414, 85415517? 102498620 What is next in 2233, 4466, 6667, 8836, 10973, 13078, 15151? 17192 What is next in -50236, -102545, -154854, -207163? -259472 What is next in 1010399, 8083147, 27280587, 64665065, 126298927, 218244519, 346564187, 517320277? 736575135 What comes next: 58465681, 58465679, 58465677, 58465675? 58465673 What is next in 4378, 17346, 38946, 69166, 107994, 155418? 211426 What is next in 184, 656, 1736, 3724, 6920, 11624? 18136 What is next in -27929, -27977, -28169, -28595, -29345? -30509 What is next in 591, 2483, 4375, 6267, 8159? 10051 What is the next term in -36501, -146027, -328571, -584133? -912713 What is next in -517809, -517854, -517899, -517944, -517989? -518034 What is the next term in 162504, 161836, 160722, 159162, 157156? 154704 What comes next: 202950, 406596, 610242? 813888 What is next in 46720, 373784, 1261526, 2990284, 5840396, 10092200? 16026034 What is next in -2340758, -2340756, -2340754, -2340752, -2340750, -2340748? -2340746 What is next in 151664, 303326, 454988, 606650, 758312? 909974 What comes next: 29358101, 29358102, 29358103, 29358104, 29358105? 29358106 What is the next term in -47403, -188621, -423967, -753435, -1177019, -1694713, -2306511, -3012407? -3812395 What is next in 592, 981, 1428, 1957, 2592, 3357, 4276, 5373? 6672 What is next in -30243, -41480, -52717, -63954, -75191, -86428? -97665 What is the next term in -113656964, -227313927, -340970890, -454627853? -568284816 What comes next: 16083635, 32167266, 48250897? 64334528 What is the next term in -22642, -22706, -22884, -23242, -23846, -24762? -26056 What is next in 8211, 31702, 70863, 125694, 196195, 282366? 384207 What comes next: -14961, -14830, -14611, -14304? -13909 What is next in -13256, -13040, -12486, -11426, -9692, -7116, -3530, 1234? 7344 What is the next term in 10757596, 10757589, 10757582? 10757575 What comes next: -8963, -10392, -11821, -13250? -14679 What is the next term in 147, -225, -625, -873, -789, -193, 1095? 3255 What comes next: -83, -2475, -9109, -22151, -43767, -76123, -121385? -181719 What comes next: -56455, -57098, -57753, -58426, -59123? -59850 What is the next term in 6834, 4888, 1646, -2892, -8726? -15856 What is next in -2007, -4121, -6235, -8349? -10463 What is next in -8612, -14109, -19606? -25103 What is the next term in 23980, 48703, 73414, 98113, 122800, 147475, 172138? 196789 What is the next term in -47870, -96025, -144414, -193037, -241894, -290985, -340310? -389869 What comes next: -9888, -9849, -9788, -9705, -9600, -9473? -9324 What comes next: -8770257, -17540517, -26310775, -35081031? -43851285 What comes next: 1287, -1729, -6755, -13791, -22837, -33893, -46959? -62035 What is next in 580172220, 580172212, 580172192, 580172154, 580172092, 580172000, 580171872, 580171702? 580171484 What comes next: -3765, -9247, -16457, -25389, -36037, -48395? -62457 What is the next term in -422493900, -844987799, -1267481698, -1689975597, -2112469496, -2534963395? -2957457294 What comes next: 17286, 60363, 132152, 232647, 361842, 519731? 706308 What comes next: -152686, -303740, -454794, -605848, -756902? -907956 What comes next: -201393, -201418, -201455, -201510, -201589, -201698? -201843 What is the next term in 410985, 821960, 1232939, 1643922, 2054909? 2465900 What is next in -713656, -713615, -713526, -713365, -713108, -712731, -712210? -711521 What is next in -8266513, -16533026, -24799539? -33066052 What is next in 41953, 167805, 377531, 671101, 1048485, 1509653, 2054575? 2683221 What is the next term in -40809096, -81618194, -122427292, -163236390, -204045488, -244854586? -285663684 What is the next term in -97370, -389263, -875746, -1556813, -2432458? -3502675 What is next in 33044, 264246, 891774, 2113790, 4128456, 7133934, 11328386? 16909974 What is next in -25494440, -25494419, -25494398, -25494377? -25494356 What is the next term in 5589750, 5589766, 5589782? 5589798 What is next in 44557, 44595, 44643, 44701? 44769 What is the next term in -642, -2235, -4652, -7887, -11934, -16787? -22440 What is the next term in -1547, -5558, -12015, -20912, -32243? -46002 What comes next: 30378, 27485, 24592, 21699, 18806? 15913 What comes next: 3259831, 6519639, 9779429, 13039195, 16298931, 19558631, 22818289, 26077899? 29337455 What is the next term in 4820930, 19283886, 43388812, 77135708, 120524574, 173555410? 236228216 What is next in -408021, -407978, -407935? -407892 What comes next: -1550, 705, 6810, 18685, 38250, 67425, 108130, 162285? 231810 What comes next: 8523556, 17047140, 25570724? 34094308 What is the next term in 4298, 7089, 11770, 18347, 26826? 37213 What is the next term in -11199, -44832, -100895, -179388? -280311 What is the next term in 1778263, 1778261, 1778255, 1778245? 1778231 What comes next: -1450963, -1450903, -1450843, -1450783, -1450723? -1450663 What comes next: 20402, 84062, 190978, 341156, 534602, 771322? 1051322 What comes next: -13, -94, -245, -442, -661, -878? -1069 What is next in 65604, 131207, 196842, 262515, 328232, 393999, 459822, 525707? 591660 What is next in -334169, -668496, -1002823, -1337150, -1671477? -2005804 What is the next term in 368, 1640, 3722, 6572, 10148, 14408, 19310, 24812? 30872 What comes next: 110072, 219385, 328692, 437993? 547288 What is next in -17816, -77619, -179384, -323105, -508776, -736391? -1005944 What comes next: 3582, 18695, 43908, 79227, 124658? 180207 What is next in -408, -3339, -11392, -27159, -53232, -92203? -146664 What is next in -4442, -4467, -4514, -4595, -4722, -4907, -5162, -5499? -5930 What comes next: -1417, -1463, -1587, -1825, -2213, -2787? -3583 What is the next term in 292207, 584571, 877091, 1169767? 1462599 What comes next: 11213335, 11213334, 11213331, 11213326? 11213319 What is next in -28819, -114854, -258281, -459100, -717311, -1032914? -1405909 What is next in 608244, 1216415, 1824586? 2432757 What comes next: -3833751, -3833747, -3833743, -3833739, -3833735? -3833731 What comes next: 23807, 23924, 24163, 24560, 25151? 25972 What is next in -20777, -82775, -186091, -330725, -516677, -743947? -1012535 What is next in 228843, 915668, 2060369, 3662940, 5723375, 8241668? 11217813 What is the next term in -277, -2310, -7533, -17446, -33549, -57342, -90325? -133998 What is the next term in 39429, 39422, 39401, 39360, 39293, 39194? 39057 What is the next term in -4837, -19363, -43569, -77455, -121021, -174267, -237193? -309799 What comes next: -336499, -336511, -336523? -336535 What comes next: -90454, -90518, -90582, -90646, -90710, -90774? -90838 What comes next: 483, 510, 497, 468, 447, 458, 525? 672 What is the next term in 5014, 19870, 44568, 79108, 123490, 177714? 241780 What is the next term in -47784, -45056, -42328? -39600 What comes next: -63117995, -126235990, -189353985, -252471980, -315589975? -378707970 What is next in -1879, -3788, -5779, -7894, -10175? -12664 What is next in -114, -383, -886, -1701, -2906, -4579? -6798 What is next in -1634009, -1634022, -1634035, -1634048, -1634061, -1634074? -1634087 What is next in -611665, -1223348, -1835033, -2446720, -3058409, -3670100? -4281793 What is next in -43193281, -86386560, -129579839, -172773118, -215966397, -259159676? -302352955 What is next in 15697, 15888, 16089, 16306, 16545, 16812, 17113, 17454? 17841 What is next in 1225454, 2450859, 3676264, 4901669, 6127074, 7352479? 8577884 What comes next: 16634, 67019, 151016, 268625, 419846? 604679 What is the next term in -386093, -386046, -385919, -385676, -385281, -384698, -383891? -382824 What is the next term in -1051, -1715, -2371, -3019, -3659, -4291, -4915? -5531 What is next in -6291, -8667, -11043, -13419, -15795, -18171? -20547 What comes next: -19554311, -19554313, -19554315, -19554317, -19554319? -19554321 What is the next term in 5068, 6474, 7880, 9286, 10692? 12098 What is the next term in 2880, 23275, 78668, 186549, 364408, 629735, 1000020? 1492753 What is next in -2784314, -2784341, -2784368, -2784395? -2784422 What is next in 212357, 849446, 1911251, 3397766, 5308985, 7644902, 10405511? 13590806 What is next in -181078, -180556, -180034, -179512? -178990 What comes next: 1220931,
{ "pile_set_name": "DM Mathematics" }
= 5 - 8.9. Let i = -4 - g. Sort i, -3, d in decreasing order. d, i, -3 Let z(u) = 3*u + 15. Let j be z(-6). Let m be (-1)/(-3)*(12 - j). Sort 1, -1, m. -1, 1, m Suppose 0 = -5*f + 44 - 9. Suppose -13 - f = -4*y. Put y, 0, -4 in descending order. y, 0, -4 Suppose -25 = -5*g, n = -4*n - g. Put n, -8, -2, 4 in decreasing order. 4, n, -2, -8 Let f(a) = 3*a - 24. Let w be f(7). Sort -1, 4, w in ascending order. w, -1, 4 Let s(z) = z + 8. Let x be s(-6). Let o = -15 + 15. Sort o, x, 3. o, x, 3 Suppose -s + 15 = 5*w - 0, -5*s - 2*w = -29. Put 3, -4, -5, s in increasing order. -5, -4, 3, s Suppose j - 8 = 5*u + 8, 2*u + 10 = 0. Let i = -4 - j. Suppose -5*a = -a + 12. Sort -1, a, i. a, -1, i Let l(u) = u**3 - 3*u**2 - 6*u + 7. Let g be l(4). Put g, -0.3, -2/3 in decreasing order. -0.3, -2/3, g Suppose -3*c - 21 = -3. Sort c, -1, 4 in decreasing order. 4, -1, c Let l(i) = -i**2 - 5*i + 2. Let c be l(-5). Suppose 3 = 4*j - r, -15 = r + 4*r. Suppose 2*s - 22 = 4*y, 0*y - 4*y - 4*s = 4. Put j, y, c in increasing order. y, j, c Let v = 0.16 - -0.74. Let s = v + 0.1. Let m = 3 + -3.4. Put m, -0.5, s in descending order. s, m, -0.5 Let k = -1.6 + 3.6. Put k, -4, 2/19, 0.5 in descending order. k, 0.5, 2/19, -4 Suppose -2*p - p - 9 = 0. Let r be (-1 - p)/(7 + -5). Put 5, r, 4 in increasing order. r, 4, 5 Let t(g) = 9*g**2 - 19*g - 22. Let p(s) = 4*s**2 - 9*s - 11. Let x(d) = -7*p(d) + 3*t(d). Let k be x(8). Sort k, 3, -0.1 in ascending order. k, -0.1, 3 Let j = 20 + -15. Let t = 0.5 + -0.9. Let p = 1.5 + -2. Put t, j, p in decreasing order. j, t, p Suppose -3*l + 3*b = 6, -2*l = -3*b + 3 + 4. Let k(c) = -c**3 - 6*c**2 - 4*c + 2. Let u = 1 - 6. Let d be k(u). Sort l, d, -5 in ascending order. -5, d, l Let t = 7 - 8. Sort t, -1/2, 1. t, -1/2, 1 Let x(l) = l**3 + 4*l**2 - 14*l - 13. Let q be x(-6). Sort 2, 4, -4, q. -4, q, 2, 4 Let z(t) = 7*t + 91. Let h be z(-13). Suppose -2 = -u + 2. Let f be (-26)/(-40) + u/(-10). Sort f, h, 2 in ascending order. h, f, 2 Let m = -60 + 33. Let w = m + 80/3. Let g = -1.4 - -1. Sort 1, g, w in increasing order. g, w, 1 Let r = -13.7 - -13. Let n = 3.3 - r. Let k = n - 2. Put k, -4, 4 in descending order. 4, k, -4 Suppose -3*p - 5 = -2*p + 2*j, 2*j = -5*p - 1. Let q = 4 - p. Put 2, -5, q in decreasing order. q, 2, -5 Suppose 8 = 2*b, 2*b = 2*t - t + 6. Sort 0, 3, t, 5 in descending order. 5, 3, t, 0 Let m = 1/74 - 303/518. Let l be ((-75)/(-21) + -3)/2. Let o = l + m. Sort -0.1, o, -5. -5, o, -0.1 Let b = 11 - 6. Sort -4, b, -2 in descending order. b, -2, -4 Let g(y) = -y - 13. Let o be g(-10). Suppose 3*h = 3*l, -3*l - 3*h + 18 = -6. Put l, o, -5 in ascending order. -5, o, l Let p be 22/20 - (-2)/5. Let b = -0.66 - -0.7. Let l = -0.96 - b. Sort l, 5, p in decreasing order. 5, p, l Let j be 18/(-5) + 20/(-50). Sort 4, 0.5, j in descending order. 4, 0.5, j Let m(v) = -v**3 - 13*v**2 - 11*v + 15. Let i be m(-12). Let w = i + -6. Sort w, -1, 2 in decreasing order. 2, -1, w Let l(v) = 2*v. Let i be l(-1). Let a be (-45)/12*i/10. Put -0.3, -5, a in descending order. a, -0.3, -5 Let q be 16/5 + 1/(-5). Let s be q/(-3*(-3)/6). Suppose -x - 5*o - 15 + 39 = 0, 3*x + o = 2. Put 0, s, x in descending order. s, 0, x Let u = -4.66 - -1.66. Sort -5, u, 0.8 in descending order. 0.8, u, -5 Suppose -62 = -r - 4*r - 2*i, -i - 35 = -3*r. Suppose -4*p + p + r = 0. Suppose n = -3*n - p. Sort -5, 2, n. -5, n, 2 Let m be (-1)/2 + 10/(-12). Let g = -1 - m. Suppose -3 = -s - 2*w, 5*s - 24 + 0 = -w. Sort g, s, -1 in decreasing order. s, g, -1 Let l = 16 + -14. Suppose 6 = l*u + 16. Sort 2, 5, u in increasing order. u, 2, 5 Let a = -3.7 + 4. Let u = 12 - 12.2. Let g = a - u. Sort g, -3, 0.1 in descending order. g, 0.1, -3 Let l = -1.7 - -2. Sort 3/5, 2/7, l in increasing order. 2/7, l, 3/5 Let y be (-5)/((-3)/(-1 + 4)). Let d be (-1)/(-1) + (4 - y). Put d, 3, 5 in ascending order. d, 3, 5 Let i be 28/(-8) + 2 - (-9)/2. Put 0, -1, 4, i in descending order. 4, i, 0, -1 Let k = 9 + -4. Let u(r) = r - 7. Let n be u(7). Let o = n + -4. Put o, k, -3 in increasing order. o, -3, k Let o = 7 - 16. Let l = -9.2 - o. Let s = -0.1 + -0.3. Put -1/4, s, l in increasing order. s, -1/4, l Let d = 3 - 5. Sort 0, -4, d in increasing order. -4, d, 0 Let p(u) = -2*u + 28. Let j be p(13). Put -8, 5, j in decreasing order. 5, j, -8 Let n be ((-3)/(-9))/((-2)/(-30)). Let s be (6/(-4))/(12/(-16)). Let o = s - 7. Sort n, o, -3. o, -3, n Let j = -0.1 + 0.1. Let n = -0.76 + -3.24. Sort j, -2, n in descending order. j, -2, n Let p(v) = -v**2 - v - 4. Let u be p(0). Suppose 60 = -4*h + n, 0 = -3*h + 4*n - n - 54. Let t be 10/h - (-6)/(-21). Sort u, -5, t. -5, u, t Suppose -30*p + 40*p - 30 = 0. Sort p, 2, -13. -13, 2, p Suppose n + 3*x = 22, -3*x - 13 - 7 = -5*n. Suppose -n = -2*s - 53. Let d be (3 + s/7)*-7. Put d, 1, -5 in increasing order. -5, 1, d Let b(x) = x**3 + x - 3. Suppose -2*w + 3*w - 2*p = 2, 4*w - 3 = 3*p. Let f be b(w). Sort 4, f, -2 in increasing order. f, -2, 4 Suppose -3*z = z - r + 8, 2*z + 3*r + 18 = 0. Suppose 2*i + 0 = -4*p + 6, 0 = 2*p + 4*i. Let g be -2*(p + z/3). Sort g, 1, 4 in decreasing order. 4, 1, g Let h = -9 - -26. Let n be (1 - 1)/(-1 - -2). Suppose 16 = -4*k, n = 5*b - k + 3*k - h. Sort -5, b, -3 in ascending order. -5, -3, b Let f(n) = -2*n**2 + 4*n + 1. Let v be f(2). Sort -2, 73, v in descending order. 73, v, -2 Suppose -2 = -d + 2*q - 4*q, -4*d - 44 = -5*q. Put -2, 4, d in increasing order. d, -2, 4 Suppose -2*x = 2*h - 2, -2*h - 32 = h - 4*x. Let z = 48 + -53. Put -3, z, h in increasing order. z, h, -3 Suppose -d - 4*k - 4 = 9, -5*d - k - 8 = 0. Suppose -2*q + 11 = 3. Sort q, d, 3 in decreasing order. q, 3, d Let c = 114 + -1256/11. Sort 0.5, 4, -1/10, c in decreasing order. 4, 0.5, -1/10, c Let b = 7 - 7.3. Let l = -185/1118 - -1/86. Suppose 8*n - 4*o = 3*n + 30, 3 = -n - o. Sort n, l, b. b, l, n Let y = 81 - 80.6. Sort y, -6, -1, 3 in increasing order. -6, -1, y, 3 Let g = 0.1 - 0.1. Sort -1/6, 0.5, g in decreasing order. 0.5, g, -1/6 Let c = 35 + -103/3. Let d = -0.04 + 0. Sort d, 0, c. d, 0, c Let k = 2 + -2. Let m = 0.02 + -0.52. Sort m, 2, k in decreasing order. 2, k, m Let y be 28/(-7) + 60/14. Let b = -5.61 - 0.79. Let x = 6 + b. Sort y, 0.3, x. x, y, 0.3 Let m be (-8)/(-3)*48/32. Suppose 0 = 2*t + 5*u - 9, 5*t + u + m*u = 0. Sort 2, t, 3 in descending order. 3, 2, t Let j = 2 - 6. Let k be (-972)/189*(7/2)/(-1). Sort -3, k, j. j, -3, k Let k be (2/1)/1 - -5. Let v = -7 + k. Sort 6, v, -1. -1, v, 6 Let z(b) = b**2 + b - 1. Let j be z(-3). Let m be ((-3)/(-6) - 1)*(-24)/(-6). Sort m, 0, j in descending order. j, 0, m Let v = -0.21 + -0.09. Sort -2/15, -3, v in ascending order. -3, v, -2/15 Let y(b) = 3*b + 29. Let g be y(-10). Sort 5, g, -12 in descending order. 5, g, -12 Suppose -5*t - 14 = r, -t = -5*r + 7 + 1. Sort r, 4, -3 in descending order. 4, r, -3 Suppose 3 = 2*v - 1. Let q be 5*(-2)/(-15)*3. Suppose b - 4*x - q = 0, b - 2*x = -0*b. Put -1/2, b, v in descending order. v, -1/2, b Suppose 3*j + 13 - 1 = 0. Let y = 8 + j. Sort -2, y, 0. -2, 0, y Let y = -17 + 19. Let r be (6/(-15))/(y/(-10)). Put -2, r, -1 in increasing order. -2, -1, r Let f(x) = x**3 - 7*x**2 - 8*x + 3. Let i be f(8). Let j be (-3)/2 - 12/8. Sort j, i, 4 in decreasing order. 4, i, j Suppose n = -0*n. Let i(b) = -b**3 + 5*b**2 - 4*b + 3. Let t(j) = -j**2 + 6*j + 4. Let s be t(6). Let p be i(s). Put n, -2, p in ascending order. -2, n, p Let l = -53 + 476/9. Let m be 2*(6/9 + 2/(-12)). Sort m, 2/5, l in descending order. m, 2/5, l Let d = 8 + -7. Suppose 5*u - 4 + 9 = 0. Sort d, -3, u. -3, u, d Suppose 3*s = -14 - 1. Suppose 5*p + 3*i + 16 = 5*i, 5*i = -2*p - 18. Let x(b) = b - 11. Let d be x(8). Sort p, s, d in descending order. d, p, s Suppose -3*t + n = -n - 19, 3*t = n + 17. Let x = t + -24/5. Sort x, 4, -5 in ascending order. -5, x, 4 Let w = -14.4 + 10.4. Let u(g) = 2*g - 1. Let k be u(-2). Sort k, w, -0.5. k, w, -0.5 Let s be 1/2 - 18/4. Let n be 10/(-14) - 14/49. Sort 3, n, s in increasing order. s, n, 3 Let i = -1 + 5. Let n(b) = b**3 - 5*b**2 - b + 3. Let g be n(5). Put i, 2, g in decreasing order. i, 2, g Suppose 2*b + 15 = -b. Sort -3/8, 0.1, b in decreasing order. 0.1, -3/8, b Let k = -45 - -134/3. Let w = 8 + -8.02. Let o = w - 0.38. Sort 1/4, o, k i
{ "pile_set_name": "DM Mathematics" }
/(4/30). Solve 0 = 4*m - o*m - 2 for m. -1 Let b(f) = 2*f + 6. Let w be b(0). Solve 4 = -2*x + w for x. 1 Let y be (-4 - 2)*8/(-12). Suppose -o = o - y. Suppose -3*h + 10 = 2*k, 4 = o*k + 4*h - 6. Solve -1 + k = -p for p. -4 Let t = 45 - 37. Solve 0*b - 2*b = t for b. -4 Let i = -1 + 3. Suppose -3*u - 9 = -0*u. Let h be (-3)/u + (i - 0). Solve h = -w - 2 for w. -5 Let v(k) = k + 6. Let y be v(-4). Solve -y*r + 13 = 5 for r. 4 Let w = 23 - 21. Solve 0 = k + w + 3 for k. -5 Let w(p) = -p**3 - 3*p**2 + 4*p + 4. Let l be w(-4). Solve 3*s = -l + 10 for s. 2 Suppose -3*w + 2*w - 2 = 0, 3*w - 14 = -4*d. Solve -d*f + 3*f = 6 for f. -3 Let m be (8/(-12))/(3/9). Let f be 6*1 - m/(-1). Solve 2*s = -2*s - f for s. -1 Suppose 0 = -f + 4*f - 9. Suppose 0 = f*q - 2*q - 10. Suppose q = 4*d + d. Solve d*t + 6 = 5*t for t. 2 Suppose 2*o + 34 = 3*k, 0 = -5*k - 4*o + 17 + 25. Let a(q) = -q + 2. Let d be a(-3). Suppose 10*v - 14*v + 35 = -5*g, 13 = 2*v - g. Solve k*u = v*u - d for u. -1 Let j = 25 + -12. Let l = 33 - j. Solve 5*d - l + 0 = 0 for d. 4 Suppose 0 = 6*q - 19 + 1. Suppose t = -t. Let u = 33 - 13. Solve t = -q*c - u + 5 for c. -5 Let y(c) = -c**3 + c**2 + 2*c + 2. Let z be y(-2). Suppose 0 = -3*n + 3*t, 3*t - z = -1. Solve n + 9 = 4*g for g. 3 Suppose 0 = 2*z + 1 + 11. Let g = 7 + z. Let l be 16 - 0/(-1 - 1). Solve -g = 5*q - l for q. 3 Suppose -2*n - m + 37 = 0, -2*n - 4*m + 46 = -0*m. Solve 0 = -5*a + 8 + n for a. 5 Let c(g) = -g**2 - 7*g - 4. Let p = 2 + -8. Let f be c(p). Let i = 1 + -1. Solve i = 3*n - f*n for n. 0 Suppose n - 45 = -3*n + 5*l, -4*n = -2*l - 54. Let p = 28 - n. Solve 5 = 4*f + p for f. -2 Suppose 4*c - 16 = 4. Let o(g) = g + 7. Let p be 2/(-3) + (-48)/9. Let u be o(p). Solve 4*m - c + u = 0 for m. 1 Suppose 6*j - 42 = -6. Solve -j*s + 3*s = 0 for s. 0 Let l(k) = k + 11. Let t be l(-11). Solve 4*o - 13 + 5 = t for o. 2 Suppose 0 = 14*v + 14 - 42. Solve -3*j - 10 = v for j. -4 Let s be 58*(6/(-4) + 2). Let a = s + -23. Solve -2*q - 2 = -a for q. 2 Suppose 1 + 2 = h. Let i be 1/(-2) + (-22)/(-4). Let s = -3 + i. Solve x - h = s*x for x. -3 Suppose -5*x = -5*n - 20, -6*n = 4*x - 9*n - 16. Solve 6 = 2*d - x*d for d. -3 Suppose -2 = x - 2*x. Let o(b) = b**3 + 7*b**2 + 5*b - 4. Let q be o(-6). Suppose -2*y + x = -q. Solve -3*d = y*d for d. 0 Suppose -2 = 5*q - 4*q. Let r be (2*-3 - q)/(-2). Solve -r = n - 0*n for n. -2 Let k be 6*(15/9 + -1). Let l(v) = -v**3 + 4*v**2 + v + 1. Let h be l(k). Solve h*t + 9 = 34 for t. 5 Let g(x) = -3*x**2 + 1 + x**3 - 5*x**3 + x - 5*x**3 + 4*x**2. Let z be g(-1). Solve d + d - z = 0 for d. 5 Let z(d) = -d**2 + 7*d + 3. Let m be z(7). Suppose -3 = -2*t + m. Solve -t - 2 = v for v. -5 Suppose -2*l + 5*p = -22, -l + 0*l - p - 3 = 0. Let o = 4 - l. Solve 0 = 6*i - o*i + 12 for i. -4 Let c be (-2)/(-11) + 8/(-44). Suppose -s - b = c, 3*s - 5*b - 5 = 27. Solve 9 = s*x - x for x. 3 Let d(b) = b**2 - 2*b + 1. Let g be d(2). Solve -2*w - g = -w for w. -1 Let s = -9 + 6. Let q be 2/((3/s)/1). Let r = 6 + q. Solve r*d + 1 = -3 for d. -1 Let v be -4 - (-3 - 13)*1. Solve 4*x + v = x for x. -4 Let x(j) = j**2 + 3*j. Let i(z) = -3*z**2 - 6*z + 1. Let t(a) = 2*i(a) + 5*x(a). Let v be t(3). Solve -v*b = -10 - 0 for b. 5 Suppose 10*w = 6*w + 8. Solve -w*m - 3 = 3 for m. -3 Suppose 4*s + 13 = -3, -2*s = 2*t - 4. Let h be (24/t)/((-2)/(-4)). Solve 0 = -4*x - h - 8 for x. -4 Let h = -13 - -22. Solve -5*s - h = -2*s for s. -3 Suppose -5*s - 12 = -4*s + 3*r, -2*s - 3*r = 9. Let j be (-2)/((-6 - -3)/s). Solve -5*b - j = 8 for b. -2 Suppose -20 = -7*d + 8. Solve 0 = 2*h - d - 6 for h. 5 Let a be (-5 - -13)*1/2. Solve -a*i = i + 20 for i. -4 Let m be (-49)/(-14)*2/14*6. Solve -m*r + 25 = -8*r for r. -5 Let n(m) = 3*m + 2. Let b be n(1). Suppose c = b*c - 36. Solve 4*t + c = -3 for t. -3 Let p = 7 + -3. Suppose -68 = -p*o - 3*s, -32 = -2*o + o + 3*s. Let f = -14 + o. Solve k = -k - f for k. -3 Let w(y) = -y**3 - 4*y**2 - 3. Let t be w(-3). Let d = -4 + t. Let i be ((-18)/(-12))/((-1)/d). Solve -5*j - 9 = -i for j. 3 Let q(g) = 2*g**2 - 2*g - 3. Let k be q(3). Let j = 18 - k. Suppose -2*c = -5*a - 6, -5*a = -0*c + 3*c - j. Solve a = f - 5*f - 12 for f. -3 Let v = 9 + -9. Let x be v + 5 - (2 - 0). Suppose j - x = -q, -2*j - 7 - 5 = -4*q. Solve 0*p = -q*p + 6 for p. 2 Let w be (-1)/(-3)*(-1 - -7). Solve w = -n - 0 for n. -2 Suppose 4*n - 52 = -2*j - 2*j, -5*n + 83 = -j. Let i be 1/(((-12)/n)/(-3)). Solve 0 = -2*r + i*r + 4 for r. -2 Suppose -3*y + y + 8 = 0. Suppose -3*o = 5*t, y*t = -o - o. Solve -k + 2*k - 5 = o for k. 5 Let h(s) = -s**2 - 14*s + 12. Let u be h(-12). Suppose u = 4*q + 2*q. Solve q*p = p + 5 for p. 1 Let h(b) = -b**3 - 5*b**2 + 4*b - 8. Let u be h(-6). Solve -j + 3 = u for j. -1 Let w = -9 + 13. Solve -3*b - 2 = w for b. -2 Let c be (-8)/(-20) - (-17)/(-5). Let z(r) = -r - 5*r - 4 + 3*r. Let t be z(c). Solve 0 = 5*f - 10*f + t for f. 1 Suppose 2*l = -5*g - 24, 10 = -2*l - 4*g - 10. Let d be (27/(-6))/3*l. Solve -4*s + d = 15 for s. -3 Let f(x) = x + 8. Let o be f(-4). Solve 0 = -0*v + v + o for v. -4 Let b = -2 - -4. Suppose 0*o + 12 = 4*o. Solve -b = -a - o for a. -1 Let s = 81 + -78. Solve -s*b + 8*b = -5 for b. -1 Let s = -62 + 41. Let j = -16 - s. Solve 3*q + 10 = -j for q. -5 Let x(m) = m**3 - 8*m**2 - 8*m - 10. Let y be x(9). Let i = 1 - -2. Let u = i + y. Solve u*s + 2 + 4 = 0 for s. -3 Suppose 2*n + 10 = 0, -3*n + 13 = 4*z - 0*n. Suppose -4*c + 5*h - 9 = z, 0 = 5*c + 4*h - 21. Let r be (-3 - -3) + (3 - c). Solve r = -2*t + 4*t for t. 1 Let j be 13/11 - 8/44. Solve 3*t + 2 = -j for t. -1 Let q be (14/4)/(4/16). Solve 0 = -4*t - q - 6 for t. -5 Let d = 37 + -37. Solve z - 1 + 0 = d for z. 1 Suppose 3*l - 1 = 5. Let k = l + -2. Suppose -3*b + b = k. Solve b = n + n + 4 for n. -2 Suppose 0 = -4*d - 1 - 7. Let c be d/8 - 2/(-8). Solve c = 4*w - 0*w - 12 for w. 3 Let t be (10/4)/((-2)/(-12)). Suppose -3*k = -8*k. Suppose k = 11*u - 9*u - 4. Solve u*m - t = -3*m for m. 3 Suppose -5*n - 3*l = -13, 6 = -3*n + n - 4*l. Solve -s - n = -2 for s. -3 Let i(o) = -o**2 + 10*o + 12. Let f be i(9). Let g = f - 6. Let r be 2 - -1 - (-3 - -3). Solve 8*z + g = r*z for z. -3 Let x(t) = -1. Let w(q) = -q - 1. Let a(l) = w(l) + 6*x(l). Let o be a(-10). Solve 4*u = o + 1 for u. 1 Suppose 24*q + 40 = 28*q. Solve c = -c - q for c. -5 Let b = -4 - -4. Solve b*t + 1 = -t for t. -1 Suppose -m - 5 = 4. Let c = m + 12. Solve -c = -3*o - 6 for o. -1 Let y be (3 + -2)/(1/1). Solve 4 = -v - y for v. -5 Let w(d) = d**2 - 11*d + 13. Let s be 11 + 0 + 2/(-2). Let q be w(s). Suppose q*x + 3*u = 15, 3*u = 4*x - 3*x + 15. Solve 4*b - b - 9 = x for b. 3 Suppose b = -0*b - 5*f + 28, 4*b = 4*f - 8. Solve 4 - b = -q for q. -1 Let u(c) = 6*c**3 - 2*c**2 + 2*c - 1. Suppose 3*a + 1 = -3*m + 4*m, a = -4*m + 4. Let s be u(m). Solve s*i + 15 = 2*i for i. -5 Let j = -8 - -10. Let h be (56/4 - j) + 0. Solve -6*f + 3*f = -h for f. 4 Let k be 296/12 - 2/(-6). Let s be k/(-20) + (-1)/(-4). Let r be 2 + 0 + (s - -3). Solve 8*x = 4*x - r for x. -1 Let f be 0*2/4*-1. Suppose -4*n + 0*n - 2*h = -32, 3*n + 5*h - 38 = 0. Let a be (4/n)/(4/12). Solve 0 = j - f*j - a for j. 2 Let l = -147 + 149. Solve 0 = l*d + d + 15 for d. -5 Let k(g) = 5*g**2 - 2*g + 2. Let s be k(1). Solve 0 = -0*r - r + s for r. 5 Let i = -5 + 8. Suppose 3*m + 4 - 4 = 0. Solve -i*n + m*n = 0 for n. 0 Let l be (8/12)/(6/9) + 2. Solve l*y - 1 = -7 for y. -2 Let q be (0 - 0)/((-2)/(-1)). Solve -k = 1 - q for k. -1 Let h(q) = -q**2. Let i(t) = 7*t**2 + 7*t + 6 - t - t + 3*t. Let r(y) = 6*h(y) + i(y). Let w be r(-8). Solve 3*l - w - 6 = 0 for l. 4 Suppose -5*a + 2*f + 20 = 0, -3*a - f = -3*f - 16. Let w be ((-1)/(-1))/(a/38). Suppose -h - h + 8 = 0, 4*h - w = -3*y. Solve -c - 2 = -y for c. -1 Let f be 3 - (-2 + 4)/(-2). Solve -1 - 15 = -f*s for s. 4 Let m = 5 + 20. Solve -9*i + m = -4*i for i. 5 Let k be (-1*1)/(6/(-18)). Solve 0 = x + k + 1 for x. -4 Let q = 13 - 7. Suppose -u = -q*u + 10. Solve o = -u + 3 for o. 1 Suppose 0 = -m + 4*m - 33. Suppose 3*k - k = 4. Solve m = -k*l + 1 for l. -5 Let l be (-2)/(-5) + 56/10. Let o = 4 + -7. Let w = l + o. Solve -w*s + 10 = -s for s. 5 Let g be (-9)/(-27) + (-16)/(-6) + 0. Let a be 11 + (-1 + 0 - -2). Suppose a = 3*w + w. Solve 12 = -g*s - w for s. -5 Let n =
{ "pile_set_name": "DM Mathematics" }
Convert -869 (base 11) to base 6. -4455 2112022 (base 3) to base 12 1098 Convert -10131201 (base 4) to base 12. -a6a9 401201 (base 5) to base 2 11000110000100 -122311 (base 4) to base 3 -2100121 Convert -1704 (base 14) to base 12. -2474 What is -1138 (base 9) in base 11? -6a9 507 (base 13) to base 8 1524 Convert -3470 (base 12) to base 7. -23016 What is -11100101111 (base 2) in base 13? -ab6 What is 2120000222 (base 3) in base 13? 19ba4 Convert 431213 (base 5) to base 16. 38de -1134 (base 11) to base 9 -2034 What is 2bd (base 14) in base 16? 22f What is -11001101 (base 2) in base 14? -109 Convert -334 (base 8) to base 3. -22011 Convert 1110000110101 (base 2) to base 16. 1c35 -2703 (base 15) to base 8 -20210 710a (base 12) to base 7 50500 What is -63072 (base 8) in base 16? -663a Convert -22200120 (base 3) to base 4. -1202331 -3196 (base 13) to base 10 -6883 10445 (base 10) to base 4 2203031 Convert 12211220 (base 3) to base 9. 5756 Convert 7362 (base 10) to base 2. 1110011000010 Convert 11120 (base 4) to base 15. 17e -b74 (base 14) to base 16 -8d2 -126265 (base 7) to base 12 -11944 -12030 (base 4) to base 11 -330 What is -2361 (base 7) in base 12? -610 What is -35225 (base 6) in base 8? -11701 2150 (base 10) to base 16 866 Convert 1331 (base 4) to base 6. 325 Convert -1303 (base 9) to base 10. -975 What is -39297 (base 12) in base 15? -1825d What is 340516 (base 7) in base 10? 60283 -1134103 (base 5) to base 8 -51241 Convert 101011000000001 (base 2) to base 10. 22017 Convert -b76 (base 12) to base 6. -11430 What is -103030 (base 4) in base 3? -1200111 What is 22212100 (base 3) in base 16? 193e -3d4 (base 14) to base 7 -2154 2220001 (base 3) to base 11 1646 What is 2078 (base 9) in base 3? 2002122 What is -4cc (base 13) in base 3? -1011021 What is -2110222 (base 3) in base 5? -24213 Convert -19c7 (base 15) to base 14. -2071 Convert -59b (base 13) to base 2. -1111001101 Convert 9dc (base 14) to base 9. 2615 Convert -165 (base 9) to base 5. -1030 10121022 (base 3) to base 6 20055 Convert -221256 (base 7) to base 5. -2221043 What is -45 (base 7) in base 13? -27 What is -11d8 (base 15) in base 9? -5185 What is 9223 (base 10) in base 3? 110122121 -11401 (base 10) to base 11 -8625 What is 5c (base 13) in base 6? 205 What is 32113 (base 4) in base 7? 2452 What is 1015 (base 10) in base 5? 13030 1d3 (base 16) to base 14 255 Convert 3092 (base 10) to base 2. 110000010100 What is 110100 (base 3) in base 4? 11031 Convert -511 (base 15) to base 12. -7b1 What is 3824 (base 9) in base 6? 21121 What is 1003 (base 11) in base 12? 932 -1b7 (base 16) to base 5 -3224 What is 384a0 (base 11) in base 7? 316555 What is 31f (base 16) in base 14? 411 What is 12311103 (base 4) in base 8? 66523 -12cb (base 14) to base 11 -2544 What is -22022 (base 4) in base 10? -650 What is -11102111 (base 3) in base 9? -4374 Convert -644 (base 7) to base 10. -326 What is -7771 (base 8) in base 7? -14631 17416 (base 9) to base 3 121110120 -12f (base 16) to base 6 -1223 52a (base 12) to base 6 3254 10906 (base 16) to base 3 10110001211 Convert 1221032 (base 6) to base 2. 1111111000001100 What is -322023 (base 4) in base 2? -111010001011 What is -2a10 (base 12) in base 15? -16c3 What is 1451 (base 11) in base 3? 2120022 What is -2a1 (base 14) in base 13? -320 What is 4431 (base 6) in base 15? 487 Convert 46274 (base 9) to base 2. 111100001111111 -319 (base 13) to base 11 -441 What is -11145 (base 12) in base 14? -8389 5117 (base 9) to base 13 191b 4719 (base 10) to base 13 21c0 What is 12ab4 (base 12) in base 4? 12102220 Convert d7 (base 16) to base 13. 137 Convert -201111 (base 3) to base 7. -1351 -4434 (base 9) to base 3 -11111011 What is -118a (base 11) in base 6? -11102 7443 (base 11) to base 8 23170 -40133 (base 7) to base 8 -22715 -465 (base 12) to base 14 -349 -251301 (base 6) to base 12 -10b31 What is 17861 (base 9) in base 14? 4715 Convert 754 (base 14) to base 9. 1876 Convert 11001001001 (base 2) to base 16. 649 What is 181 (base 10) in base 16? b5 What is 11122000 (base 3) in base 8? 6457 What is -10312 (base 4) in base 8? -466 -ca (base 13) to base 12 -11a What is 13033000 (base 4) in base 16? 73c0 What is -271 (base 10) in base 9? -331 1002121 (base 3) to base 4 30133 23132 (base 6) to base 5 101141 What is 21 (base 7) in base 15? 10 14202 (base 5) to base 16 499 1a2 (base 12) to base 8 412 2011212 (base 3) to base 14 817 -28303 (base 11) to base 16 -9d68 Convert -17884 (base 10) to base 15. -5474 What is -1693 (base 14) in base 11? -3051 Convert -101110011000 (base 2) to base 7. -11440 Convert 11027 (base 8) to base 3. 20100112 134552 (base 6) to base 5 401430 11032 (base 4) to base 3 110101 7261 (base 8) to base 7 13652 33105 (base 9) to base 7 121004 -1222333 (base 4) to base 10 -6847 What is -74 (base 14) in base 8? -146 Convert 122120122 (base 3) to base 14. 4955 What is -330531 (base 6) in base 3? -1101121101 Convert 2bdc (base 14) to base 15. 24c8 What is 233113 (base 6) in base 11? 14143 Convert -17700 (base 11) to base 3. -1021000201 What is 1107 (base 8) in base 10? 583 -32300 (base 5) to base 15 -9ba 442 (base 8) to base 16 122 What is -242 (base 9) in base 13? -125 What is -1011001010 (base 2) in base 3? -222110 Convert -188 (base 13) to base 9. -342 What is -203220 (base 4) in base 6? -14320 What is 20a (base 13) in base 12? 250 What is -1001210121 (base 3) in base 6? -241111 3356 (base 7) to base 14 62d What is 4238 (base 9) in base 11? 2380 What is -3443210 (base 5) in base 7? -346435 -13037 (base 8) to base 3 -21202202 9c9 (base 15) to base 12 1346 2475 (base 8) to base 10 1341 Convert 2320213 (base 4) to base 16. 2e27 1646 (base 10) to base 14 858 Convert 32121 (base 4) to base 11. 768 Convert -77 (base 14) to base 9. -126 -1299 (base 16) to base 4 -1022121 Convert -295 (base 12) to base 3. -112212 24041 (base 5) to base 3 2102121 20511 (base 9) to base 10 13537 What is -161553 (base 7) in base 5? -2004324 What is 114020 (base 7) in base 4? 11001302 -1268 (base 13) to base 10 -2621 Convert 15861 (base 9) to base 5. 322114 Convert -100220 (base 4) to base 13. -63b What is 203012 (base 5) in base 13? 3032 -1b3 (base 16) to base 2 -110110011 What is -7aa (base 16) in base 11? -1524 Convert -20201 (base 4) to base 12. -395 What is 1c5 (base 13) in base 6? 1310 -4221 (base 7) to base 9 -2030 -3033411 (base 5) to base 11 -33a96 -32052 (base 6) to base 2 -1000100000000 What is -1110001111 (base 2) in base 13? -551 What is -2a4 (base 13) in base 3? -122111 2211110002 (base 3) to base 9 84402 What is 1490 (base 11) in base 15? 879 What is -e10 (base 16) in base 15? -1100 Convert 18d (base 15) to base 4. 11212 What is 87 (base 13) in base 7? 216 What is 320 (base 14) in base 2? 1001101000 107775 (base 8) to base 11 25770 Convert -14012 (base 13) to base 2. -1001000111110100 -1212 (base 4) to base 9 -123 What is 1681 (base 14) in base 6? 30401 Convert 4c2 (base 15) to base 13. 653 Convert 9ab (base 14) to base 6. 12511 What is 1021 (base 6) in base 10? 229 Convert 6a2 (base 12) to base 9. 1315 What is 73d9 (base 16) in base 6? 345145 What is -141443 (base 5) in base 12? -3495 Convert 100000101101 (base 2) to base 15. 948 Convert -80 (base 15) to base 6. -320 Convert 2103 (base 8) to base 16. 443 -253 (base 10) to base 12 -191 What is 2672 (base 10) in base 3? 10122222 Convert -34156 (base 8) to base 9. -21731 What is 6aab (base 14) in base 10? 18575 What is 144b (base 12) in base 15? a78 What is -122210122 (base 3) in base 12? -7615 -ab2 (base 16) to base 5 -41423 5968 (base 14) to base 3 210100220 What is -6055 (base 10) in base 2? -1011110100111 6003 (base 13) to base 11 99a7 -1012120 (base 3) to base 7 -2364 What is -187 (base 16) in base 8? -607 Convert 4447 (base 12) to base 13. 3583 -4b (base 14) to base 5 -232 What is -1332333 (base 4) in base 3? -102011000 What is -1006 (base 10) in base 8? -1756 What is -25053 (base 6) in base 11? -2869 Convert -533a (base 14) to base 12. -8388 What is -36a3 (base 15) in base 14? -4348 What is 6acb (base 15) in base 10? 22691 -100122121 (base 3) to base 4 -1231330 22f (base 16) to base 4 20233 What is -2526 (base 7) in base 15? -436 -4055 (base 8) to base 13 -c50 What is 313322 (base 4) in base 10? 3578 -2b1c (base 14) t
{ "pile_set_name": "DM Mathematics" }
l) = -l**3 - 21*l**2 + 16*l - 30. Let o be m(-22). Suppose 105*g - o*g = -4848000. What is g rounded to the nearest one hundred thousand? -1600000 Let f = 14985.1 + -17635.14. Let h = f + 2648.97053. Let l = -1.07 - h. Round l to 4 dps. -0.0005 Let n(h) = -1081*h**2 - 87*h + 68. Let f be n(-24). Round f to the nearest one hundred thousand. -600000 Let i = 23.94 - 58.92. Let m = 5.95 + 3.37. Let f = m - i. What is f rounded to the nearest integer? 44 Let j = 22.18 + -9.9. Round j to zero decimal places. 12 Suppose 7*d = 3195 - 619. Suppose a = -0*a + d. Suppose -4*n - 380 = 5*c, 5*n + 124 = -2*c - a. Round n to the nearest one hundred. -100 Suppose -38*p + 18 = -39*p. Let t(i) = -122*i**3 + 20*i**2 - i - 2. Let s be t(p). What is s rounded to the nearest one hundred thousand? 700000 Let r be (-6)/24*0 - 22. Let k be 0 + 2 + 16 + r. Round k to the nearest 10. 0 Let v = -2296.006059 + 2296. What is v rounded to 3 dps? -0.006 Let z = 2003.35194 - 2003. Round z to two decimal places. 0.35 Let k = 0.1869 - -12.9131. Round k to the nearest ten. 10 Let d = -259.3 + 259.298439. Round d to three decimal places. -0.002 Let i = 3435.575 - 3446. Round i to the nearest 10. -10 Let s = 375 - 378.43. Let f = s - -3.42999971. What is f rounded to 6 decimal places? 0 Let r = -25.971 - 2110.829. Round r to the nearest 100. -2100 Let q = 5840 - 5840.3437. What is q rounded to one dp? -0.3 Let a = 34.79 - 32. Let q = -2.883 + a. Round q to 1 decimal place. -0.1 Let g = -941741.759799475 - -941924.7598. Let u = g + -183. What is u rounded to seven decimal places? 0.0000005 Let y = -163955581.00667 - -163954615. Let t = y + 966. Round t to 3 decimal places. -0.007 Let c = -84.4 - -58. Let y = 128.6 - c. Let h = y - 154.9733. Round h to 3 dps. 0.027 Suppose -q + 234 - 230 = 0. Let a(k) = -13766*k**3 + 3*k**2 - 9*k + 12. Let r be a(q). What is r rounded to the nearest ten thousand? -880000 Let i = -48.648 - -6178.048. Round i to the nearest 100. 6100 Let i = -0.06 + 0.053. Let s = -1081.2 - -1080.757. Let r = s + i. Round r to the nearest integer. 0 Let l = 1464 - 1426.37. What is l rounded to 1 decimal place? 37.6 Let q = -49.2 - -34. Let x = q + 161.2. Let w = 146.0000422 - x. Round w to 5 dps. 0.00004 Let l = -12193 - -12193.0035155. What is l rounded to 4 dps? 0.0035 Let x(g) = -7*g - 53. Let d be x(-8). Suppose 1272333 = d*f - 17667. What is f rounded to the nearest one hundred thousand? 400000 Let j = -20 - -20.465. Let x = 0.07 + -0.215. Let g = j - x. Round g to 1 dp. 0.6 Let d = 9533 + -9346.46. Round d to the nearest integer. 187 Let q = 16454 - 17188.25. Round q to zero dps. -734 Let x = 24.2 + -181.2. Let r = 157.0407 + x. Round r to two decimal places. 0.04 Let g = 2.453148 + -6.7131468. Let d = -4.26 - g. What is d rounded to 6 decimal places? -0.000001 Let i = -85.2017 - 0.8283. Round i to zero dps. -86 Let o = -8.04 - -2.04. Let q = 42888 + -42894.0011. Let r = o - q. Round r to 3 decimal places. 0.001 Let h = -104.612957 + -53723.716043. Let b = 53786 + h. Let p = b - -42.5. What is p rounded to two dps? 0.17 Let h = -1581.62 - -1581.62063697. What is h rounded to six decimal places? 0.000637 Let d = 50 - 95. Let t = d + 39. Let q(p) = -9*p**2 - 6*p - 12. Let v be q(t). Round v to the nearest one hundred. -300 Let r = 4.2 + -4.2036. Let y = -1.9164 + r. Round y to one dp. -1.9 Let u = 0.76 + -1.18. Let w = u - -167.42. Let f = -167.00194 + w. Round f to 4 dps. -0.0019 Suppose 4*a - 35 = -5*z - 1, -2*z = 2*a - 16. Let x be a/10 + (-2)/(-5). Let j be -4 + 2 - (x + -2733). What is j rounded to the nearest 100? 2700 Let k(a) = 3*a**2 - 3*a - 1. Let f be k(2). Suppose 4*i = -0*i - 3*n - 32705, -f*i - 40885 = 3*n. What is i rounded to the nearest 1000? -8000 Let z = -0.02686091199 + 59.52685860199. Let k = z - 59.5. Round k to 6 dps. -0.000002 Let i = -6273 + 13665.2. Round i to the nearest one hundred. 7400 Let g = -5910 + 5495. Round g to the nearest 1000. 0 Let d = 15.4163 + -14.507. What is d rounded to one dp? 0.9 Let x = 3312803794.00000183 - 3312803629. Let h = 165 - x. What is h rounded to 7 decimal places? -0.0000018 Suppose 20*q = -6*q - 86234226. Let s = q + 1102701. What is s rounded to the nearest 100000? -2200000 Let d = -112983 - -406583. What is d rounded to the nearest one hundred thousand? 300000 Let z = -3.38 + 174.38. Let w = z + -169.236. Let n = -0.044 + w. Round n to one decimal place. 1.7 Let l(h) = 2500*h**3 + h**2 + 5*h - 7. Let a be l(-6). Suppose 33*r = -2 + 2. Let v be a + (3 - r) + -2. What is v rounded to the nearest 100000? -500000 Let j(d) = 156*d + 733*d - 180*d - 10 + 222*d. Let t be j(1). What is t rounded to the nearest 100? 900 Let c = 12.63 + -4.794. Round c to 1 decimal place. 7.8 Let f(v) = 2379792*v - 3. Let d = -16 + 18. Let s be f(d). Let w = -11359581 + s. Round w to the nearest one million. -7000000 Let j = 678 + -1020. Let d = j + 342.00273. What is d rounded to four decimal places? 0.0027 Let o(l) = 4468752*l**2 - 4*l - 16. Suppose -341*w + 333*w + 32 = 0. Let a be o(w). Round a to the nearest one million. 72000000 Let p = -13.763 + 11487.563. Let a = p - 11464.4399. Let l = 9.4 - a. What is l rounded to 2 dps? 0.04 Let a = 871.570002 + -872.36. Let f = 0.2827 + -1.0727. Let r = f - a. Round r to 5 decimal places. 0 Let n = 1039.76877105 + -1975.76877604. Let t = n + 936. What is t rounded to seven dps? -0.000005 Let d = -18.14 - -17.5. Let w = d + 0.6400043. Round w to 6 decimal places. 0.000004 Let n = 20016.6364 - 20020. Round n to one decimal place. -3.4 Let m = 101.629 - 107.0541. Round m to one decimal place. -5.4 Let y = -28946.0011931 - -28946. What is y rounded to 4 dps? -0.0012 Let v = 13776009 + -35680526. Let g = 12097215 + v. Let s = g - -21007302. Round s to the nearest one million. 11000000 Let c = 246.688 + -248. Let d = -6.058 + c. What is d rounded to 1 decimal place? -7.4 Let q = 93 + -93. Suppose q = 9*b - 15*b + 248399994. Suppose 4*z = -2*v + 5*z - b, v + 2*z + 20700002 = 0. Round v to the nearest one million. -21000000 Let k = -11925 + 11990.131. Let v = k - 64.8. Let u = v - -0.059. What is u rounded to 2 dps? 0.39 Let t = -471 - 4532.4. What is t rounded to the nearest 100? -5000 Let z = -1726 - -1722.518. Let h = 3 + z. Round h to one dp. -0.5 Let s = 0.51 + -0.1. Let u = s - -24.59. Let z = -25.0032 + u. Round z to three dps. -0.003 Let a = -381.619 + 0.619. Let q = -382.808 - a. Round q to one decimal place. -1.8 Let m = 114 - 172. Let q = m - -56.824. What is q rounded to 1 decimal place? -1.2 Let r = -4976.33264 - -4976. What is r rounded to two dps? -0.33 Let k(w) be the third derivative of -w**5/30 - 37*w**4/24 - 9*w**3/2 - 107*w**2. Let u be k(-28). What is u rounded to the nearest 100? -600 Let r = -0.097892945 + 0.09795. What is r rounded to six dps? 0.000057 Suppose 2*p + 26528 = 18*p. Let h be 36/54 + p/6. Round h to the nearest ten. 280 Let a be 24*3/12*(-2)/(-4). Suppose a*z + 4 = 5*z, -3*z - 509994 = m. What is m rounded to the nearest one hundred thousand? -500000 Let o = -3314929.5 + 3315181.499381. Let i = o + -252. What is i rounded to 4 dps? -0.0006 Let y = -62470.46 + 62405.460326. Let g = -6501 - -6436. Let a = y - g. What is a rounded to 5 dps? 0.00033 Suppose -9*i + 4 = -10*i. Let b be ((-84)/15)/(1/5). Let j be 12*(i - b)*(1 + -1001). What is j rounded to the nearest one hundred thousand? -300000 Let g = -2083510 + 1446510. Round g to the nearest one million. -1000000 Let y = -12.739399913 + 1.999404417. Let k = 10.74 + y. Round k to seven decimal places. 0.0000045 Let l = -856.81 + 3.81. Let u = l - -852.99291. Round u to 4 dps. -0.0071 Let h = 14.9 - 21.2. Let f = h - -7.3. Let q = f - 1.00121. What is q rounded to 4 decimal places? -0.0012 Let i = 11.96 - 15.7. Let j = 27976790.2600257 - 27976794. Let h = i - j. What is h rounded to six dps? -0.000026 Let c = -148.585 + 149. Let g = 171.415 - c. Let s = g - 167.87. Round s to one decimal place. 3.1 Let n = 6385229.19554 + -6385155. Let p = 74.816 - n. Let r = p + -0.62. Round r to three dps. 0 Suppose 4518000 = -479*q + 470*q. Round q to the nearest ten thousand. -500000 Let b(t) = 194667*t**2 - 71*t - 326. Let w be b(27). What is w rounded to the nearest one million? 142000000 Let j = 655.975 - -0.025.
{ "pile_set_name": "DM Mathematics" }
ue Suppose 12 = 5*i + 2. Is (i + -1)/(-1)*-163 composite? False Let i be 4/(-6)*(-9)/(-6). Is -7 - -48 - (i + -1) a prime number? True Is ((-422)/3)/((-7)/21) composite? True Suppose 19*v = 20*v - 121. Is v composite? True Suppose 0 = -4*x - 5*c + 1616, c = 2 + 2. Suppose -f = 2*f - x. Is f a composite number? True Suppose -847 = -3*j - 94. Is j prime? True Let h(x) = 61*x - 3. Let a be 5/15 + 10/6. Is h(a) a prime number? False Suppose l = 6*l - 65. Suppose 0 = -p + 2*p - l. Is p prime? True Let w be 11/6 + 1/6. Is (-421)/(-2) - w/(-4) a composite number? False Suppose b - 4*b - 3 = 0, -b - 2 = -f. Suppose 4*y + 6 = 5*y. Is 106*3*f/y a composite number? False Let w(y) = -y**3 - 4*y**2 - 3*y - 4. Let a be w(-5). Suppose 5*x + 0 = -5*b - 35, -4*b + 4*x = a. Is (-202)/b - (-3)/(-12) composite? True Let g(p) = p**3 - 5*p**2 + 8*p + 5. Suppose 0 = -5*r + 4*r + 6. Is g(r) a composite number? False Suppose 0*c + k - 2633 = -c, 0 = 2*c - 4*k - 5254. Is c a composite number? True Let m(s) = 5*s**2 + 5*s - 178. Let g(p) = -p**2 - p. Let y(b) = -4*g(b) - m(b). Let d be y(0). Let j = 265 - d. Is j composite? True Suppose 5*o - 510 = -4*d, 0 = -5*o + 3*o + 3*d + 227. Is o prime? False Let u(z) = 3*z**2 - 12*z + 9. Let q(o) = -13*o**2 + 49*o - 36. Let x(l) = -2*q(l) - 9*u(l). Let y be x(8). Is (y + -4)*28/6 a composite number? True Let v = 488 - -53. Is v prime? True Suppose 3*d = 5*h - 679 - 273, 4*h - 3*d = 761. Is h a prime number? True Suppose -4*c = -0*c - 2*i - 10, 3*c - 8 = i. Suppose -12 = c*a, b + 2*b + 3*a = 225. Is b prime? True Let s = 189 + 142. Is s a prime number? True Let r be (-20)/12 + 4/6. Let y be (r/2)/((-5)/40). Suppose -12 = -y*q, 0 = 5*m - q - 4*q + 5. Is m a prime number? True Suppose 0 = 6*v - 3*v + 9, 4*i - 3*v = 17. Is i a prime number? True Suppose -c = -4*c - 198. Let u = 116 + c. Let f = -29 + u. Is f composite? True Let n = 300 + 551. Is n composite? True Let l be ((-44)/(-10))/((-5)/(-25)). Suppose 6 = 4*c + 5*t, -5*t - l = -c - 2*c. Suppose -5*j - c*q + 186 = 0, 5*q = 15 + 5. Is j prime? False Let g(o) = -10*o**3 + o**2 + o. Let b = 12 - 13. Is g(b) prime? False Let o(c) = -c**2 - 10*c - 12. Let w be o(-8). Suppose -2*i = -w*i. Suppose 3*x + 2*q - 109 = i, 4*x - 130 = 7*q - 2*q. Is x composite? True Suppose -2*s + 8 = 2*s. Suppose s*r = 6*r - 364. Is r a composite number? True Let l = -165 + 544. Is l a prime number? True Suppose -4*t + 43 = 5*j, t = -2*j + 11 + 8. Suppose -26 + j = -5*i. Suppose 4*f + 98 = 2*m, -2*m - i*f = -0*f - 119. Is m composite? True Let w = -16 - -6. Let x(y) = y**3 - 6*y**2 + 4*y - 7. Let t be x(6). Let j = t + w. Is j a composite number? False Let o = 1207 + -210. Is o composite? False Let z(s) = -83*s - 5. Let r be z(-2). Suppose r = 4*u - 323. Is u composite? True Suppose s - 4*h = 1, -3*h + 4 = h. Suppose -295 = -s*f + 180. Is f composite? True Let y(z) = 0*z**2 + z + 5*z + 3*z**2 + 4. Let v be y(-4). Let t = v + -17. Is t a composite number? False Let k(l) = 2*l + 1. Let g be k(3). Suppose u - g = -2*o, 0*o + 3*u + 9 = -o. Let m(r) = 2*r**2 - 7*r + 5. Is m(o) prime? False Suppose 5*z = -5*y + 3*z - 1, 0 = 2*z + 6. Let u = 3 - y. Let p = u - -13. Is p composite? True Let g(j) = j**3 - 3*j + 6. Let b be g(5). Let m = 11 + b. Is m a composite number? False Suppose -5*c + c - 24 = 0. Let i = c - -8. Suppose 0 = i*g - 26 - 20. Is g a prime number? True Let d(m) = -5*m**3 + m**2 + m - 1. Let f be d(1). Let p be (-22)/f - (-7)/14. Is p - 3 - (-119 - 1) composite? True Is 70092/20 - 6/(-15) composite? True Let o = 170 - -83. Is o composite? True Let h(u) = 23*u - 19. Is h(10) prime? True Suppose -55 = -0*o - 5*o. Suppose -5*r + 0*m = m - o, -2*r = -m - 10. Suppose -r*y = -0*y - 447. Is y composite? False Suppose 15 = b - 7. Is (-9)/(-3) + -3 + b composite? True Let r(s) be the third derivative of s**5/60 - s**3/3 - 3*s**2. Let q be r(-7). Let t = q - 28. Is t a prime number? True Let t be (-2 + 1)/((-3)/(-33)). Let s = -15 - t. Let f = 19 - s. Is f prime? True Suppose -4*w + 400 = 2*d + 3*d, 2*d = 3*w - 277. Suppose 5*u = -2*o + 83, -o - w = -3*o - u. Suppose 4*a = o + 163. Is a a prime number? True Suppose 7 = 4*n - 17. Let w = -6 - -11. Suppose -w*j - n = -131. Is j a composite number? True Suppose 5*i + 92 = y + 18, 0 = 4*i. Suppose 5*j - 89 = 3*u, 4*j - u - y = -0*j. Is j composite? False Let n = -47 + 47. Suppose -3*z - 2*z - 170 = -5*d, 3*d - 96 = -3*z. Suppose 2*w - 3*v = -n*w + 59, -w - 2*v = -d. Is w composite? False Let r = 0 - -7. Let a(p) = 2*p**2 + 0*p + r*p + 5*p**2 - p**3. Is a(5) prime? False Suppose 6*z = z + 1165. Let p = -124 + z. Is p prime? True Let b(l) = l**3 - 4*l**2 + 15*l - 21. Is b(11) composite? False Suppose 0 = 5*u + 5, w + 2*u - 84 = 221. Is w a prime number? True Let s(i) = i**3 - 12*i**2 + 2. Let k be s(12). Suppose -4*v = k*u - 270, 2*u + v - 2*v - 285 = 0. Is u a composite number? True Let f be 1*(-1)/2*-8. Let h be (1/1 - 2)*-2. Is h/(-3)*(-282)/f a prime number? True Suppose 672 = 2*l - 5*g, -5*l + 0*l + 1657 = -g. Is l a composite number? False Let g(l) = l**3 + 4*l**2 - 2*l - 4. Let h be g(-4). Let p = 0 + h. Suppose -97 = 3*q + 4*d - 258, -p*q + d = -221. Is q prime? False Let t = 6 - -2. Let k = 1 + t. Is k composite? True Suppose 4*i - 8759 = 14337. Is i prime? False Suppose -2049 - 3491 = -5*r. Let k = r - 735. Is k a prime number? True Let a(s) = -9*s - 2. Let m be a(2). Let t = m - -34. Is t composite? True Let p(z) = -4*z + 4. Let j be p(6). Let b = j + 33. Is b prime? True Let j(a) = -11*a + 4. Is j(-3) a prime number? True Let b = -582 - -1093. Is b a prime number? False Suppose 2*m - 5*f = -368, -3*f + 736 = -2*m - 2*m. Let q = m - -387. Is q prime? False Let d(p) = 15*p**3 - 2*p**2 + 1. Suppose -4*w - 4*s = -0*w + 24, -27 = 5*w + 4*s. Let g = w - -4. Is d(g) prime? False Suppose 0 = l - 6*l + 45. Is 1*(80 + l/(-3)) composite? True Let c(o) = -o**2 - o. Let l(z) = -z**2 + 3*z + 1. Let a(w) = -2*c(w) - l(w). Is a(-5) composite? False Suppose -4*t = -12, 3*t + 132 = 3*n - 2*t. Is n a composite number? True Let b = -375 + 770. Suppose 0 = -6*c + c + b. Is c prime? True Suppose -5*b + 118 + 37 = 0. Is b composite? False Let v(w) = 1238*w**2 - w + 1. Let k be v(1). Suppose 0 = 4*d - 0*d + s - 1653, -s - k = -3*d. Is d prime? False Let z be (-3)/(-21) - 2307/(-21). Is (z/6 + 1)*3 a composite number? True Let i(x) = x**3 - 5*x**2 + 6*x - 4. Let q be i(4). Suppose 4*l - 2*s = 0, -7*s + q*s = 5*l - 22. Is (-36 + 3)/((-3)/l) a prime number? False Let k be -1 + 4 - 0/2. Let d(o) = 2*o - 4*o**3 + 5*o**3 - 5*o**2 + k + 0*o. Is d(6) prime? False Suppose -16 = -5*u + 9. Suppose -u*j + 2*x + 8 = 0, j + 0*x - 2*x = 0. Is j/((-12)/57)*-14 a composite number? True Let k(m) = -70*m**2 + m + 2. Let i be k(-1). Let d = 182 + i. Is d a prime number? True Let y be -2 + 2 - 1 - -4. Let f = y + -1. Is (-177)/(-12)*(f - -2) composite? False Suppose 7*l - 2*l = 0. Suppose l = r - 2*r. Is 203 + 1 + -1 + r a prime number? False Let k = -239 + 492. Is k a prime number? False Suppose 3*w = b + 3*b - 823, b + 848 = -3*w. Let u(f) = 444*f**2 + 3*f + 1. Let o be u(-1). Let p = w + o. Is p prime? False Suppose a = 5*l + 623, 0 = -3*a - l - 0*l + 1901. Is a composite? True Let u(l) = l**3 + l**2 + 2*l + 265. Is u(0) prime? False Suppose -n = -0*n + 9. Let l(m) = m**2 - 8*m + 6. Is l(n) composite? True Let b be (-3)/(-4) + 4/16. Is 16 - (-3)/((-3)/b) composite? True Let a(q) = -q**3 - 5*q**2 - 4*q + 3. Let u be a(-4). Suppose -u*l + 4*k = -3, 17 = l - 0*l + 4*k. Suppose -l*w + 294 = -191. Is w a composite number? False Let u(v) = -8*v + 1. Let z(n) = -2*n. Suppose 5*b + 2*x - 4*x = 132, 0 = 3*b + x - 77. Let f(p) = b*z(p) - 6*u(p). Is f(-5) a prime number? False Let r be (-3 - 0)/(-9)*15. Suppose -r*j + 5*h + 143 + 197 = 0, -2*h = -j + 71. Is j composite? True Let n = 6 + -8. Let h be 1 - (-2 + 2 + n). Suppose 3*a = -5*i + 745, 5*i + h*a - 2*a = 745. Is i a prime number? True Suppose -12226 = -4*v + 2*z, 1412 = 2*v + 4*z - 4696. Suppose -v = -4*u - 4*r + 1172, -4*r = -4*u + 4260. Is u composite? False Let i = 14 - 11. Suppose 2*d + d = -i*h + 660, -1130 = -5*d + 5*h. Is d prime? True Let l = 255 - 77. Is l a prime number? False Let n be 0 + -1*27 + -1. Is ((-2)/(-4))/((-2)/n) composit
{ "pile_set_name": "DM Mathematics" }
0.19, -2/3? -2/3 Which is the closest to 1/2? (a) 2/7 (b) 2 (c) -17 a What is the closest to 0.2 in 3, 1.3, -1, -1/6, -4? -1/6 What is the nearest to -1/8 in -0.1, -0.04, 74, -2? -0.1 Which is the nearest to -0.4? (a) -2/9 (b) -2257 (c) -5/2 (d) -1 (e) 0.1 a Which is the closest to 1/13? (a) -1/3 (b) 3 (c) 48 (d) 2/9 d What is the nearest to 0.2 in -0.069, -0.05, 4/19? 4/19 What is the closest to -3 in -9, -0.3, 30, 4, -5? -5 What is the nearest to 1/3 in -6/503, 0, 1/16? 1/16 What is the nearest to 1 in -0.36, -74, -5, -2? -0.36 What is the closest to 2/5 in -4470, -0.2, 2/9? 2/9 Which is the closest to 110/9? (a) -1 (b) 4 (c) 0.1 b What is the closest to 4 in 10, 0.5, 3/10? 0.5 What is the nearest to -0.3 in 0.5, 0.221, 2, 0.3, 1/4? 0.221 What is the closest to 3 in -4, 4/19, 1, 1/4? 1 What is the closest to -1 in 1/3, 1, -21075, 3/11, 3/7? 3/11 What is the closest to 0.05 in 1/3, -5, 0.04, -0.06? 0.04 Which is the closest to -3? (a) -89 (b) 5 (c) -3 (d) 0.01 c What is the closest to 22 in 1, 0.279, 5? 5 What is the nearest to 30.2 in -21, 2/29, -5, -2/11, -0.4? 2/29 What is the closest to -0.2 in 2, -1, -1243/4? -1 What is the closest to 2/11 in -101, -2/3, -3? -2/3 Which is the closest to 0.1? (a) 11 (b) 1 (c) -2/11 (d) -0.4 c What is the closest to 9/44 in -25, 3/4, 0.2, -6? 0.2 What is the nearest to 2 in -1, -2/103, -2/5, 0.136? 0.136 Which is the closest to 417? (a) -1/7 (b) -0.4 (c) -4 a Which is the nearest to -1.2? (a) -41 (b) 0.1 (c) -4 (d) 0.2 b Which is the nearest to 66? (a) 7 (b) -17 (c) 5 (d) 16 d Which is the nearest to -2? (a) -2.6 (b) -4/5 (c) 2 a What is the closest to -3 in -0.04, -248, 0? -0.04 Which is the closest to 0? (a) -286 (b) 4 (c) 10/3 c What is the nearest to 126 in -0.2, 1.2, 0? 1.2 What is the nearest to 0.3 in 4, 263, -6? 4 Which is the closest to 441? (a) -3 (b) -0.4 (c) -1 (d) 1/5 (e) 27/7 e Which is the closest to 26/5? (a) -0.3 (b) 0 (c) 42 (d) -2 (e) -0.4 b What is the nearest to 0.4 in -3/5, -0.1, 16/45? 16/45 Which is the closest to -0.06? (a) -8.142 (b) 1 (c) -0.02 (d) 2 (e) -1/9 c Which is the closest to 0.1? (a) -2/5 (b) 2040 (c) -4/9 (d) 3 (e) -1 a What is the closest to 0.3 in -3/2, 1, 50/9? 1 What is the nearest to 1/32 in -3, 0.4, -2/19, -1/4, 140? -2/19 Which is the closest to -0.2? (a) -0.2 (b) 209 (c) 2 (d) -2/17 a What is the nearest to -380/73 in -0.2, 5, 1? -0.2 Which is the nearest to -0.1? (a) 2 (b) -3 (c) 59/9 a What is the nearest to 2 in 1, 2/121, 0, -13? 1 What is the nearest to -3/5 in 39, -0.5, 0.5, 1, 0.2? -0.5 What is the nearest to 2/5 in 2/5, 1, 700? 2/5 What is the nearest to 1 in -54/91, -0.2, 4? -0.2 What is the closest to -2 in 34, -0.5, 8.4, 0.1, -10? -0.5 Which is the nearest to 0? (a) -83 (b) -1.2 (c) 209 (d) -0.3 d Which is the nearest to 13? (a) -58 (b) 2/17 (c) -2 (d) -1.2 (e) -3 b Which is the nearest to 53/2? (a) 3/4 (b) -0.4 (c) 5 (d) 1.9 (e) -0.01 c Which is the closest to 1? (a) 0 (b) 5 (c) 3 (d) -32.49 a Which is the closest to 1/15? (a) -1 (b) -5 (c) -18/5 a What is the nearest to -36 in 28/9, -1/9, -5, -4/9? -5 Which is the nearest to 1? (a) -0.4 (b) 16 (c) -12.1 (d) 6 a Which is the closest to 4? (a) 4 (b) -0.03 (c) 0.4 (d) -20 a Which is the closest to 0.2? (a) 0.2 (b) 5 (c) 22 (d) -290 a Which is the nearest to 1? (a) 0.5 (b) -2/17 (c) -2679 a Which is the nearest to 218? (a) -2 (b) 1/5 (c) -5 b Which is the closest to 0? (a) -1 (b) 0.1 (c) 1/5 (d) 1244 b Which is the nearest to 3/5? (a) -111 (b) -3 (c) 30.1 b Which is the closest to 1/5? (a) -4/13 (b) 10 (c) 0.07 (d) -4 c What is the closest to 1/4 in 0, 2, -599, -1/5, -19? 0 Which is the nearest to -0.2? (a) -3 (b) -1/724 (c) -7 b What is the nearest to 10/13 in -8, 4, 0.5, 0? 0.5 Which is the nearest to -1/3? (a) -38 (b) 2.3 (c) -22 (d) -3 b What is the nearest to -0.1 in -11, 2, 2/17, -2/17, 8? -2/17 What is the closest to -2 in 2/9, -31, 2, 4, 0.1? 0.1 Which is the nearest to 2/3? (a) 6419/2 (b) -1 (c) 0 c What is the nearest to 478/3 in -0.3, -0.1, -2/15, 8/7? 8/7 Which is the closest to -0.2? (a) 6 (b) 202 (c) 110 (d) 3 d What is the closest to 3 in -1, -0.2, -43/14? -0.2 What is the closest to 2/3 in 1435, -3, -2? -2 What is the closest to -1/3 in 9, 2, -0.3, -0.5, 10? -0.3 What is the nearest to -1 in 2/7669, 4, 0.4, -1, 43? -1 Which is the nearest to -0.1? (a) -4 (b) 25436 (c) -0.1 (d) 8 c Which is the closest to 4? (a) -4 (b) -2/5 (c) 11.8 b What is the closest to -43 in 2, 8/9, -2/11, -2/17, 0.3? -2/11 What is the closest to -2/3 in 2/5, -7/26, 3, 0.2, 33/4? -7/26 What is the closest to -48/5 in -1/2, 1, -0.01? -1/2 What is the nearest to 7 in 0.03, 0.18, 2/17? 0.18 What is the nearest to -1/3 in -1, -91/3, 10/9, 0.5? -1 Which is the nearest to -1/42? (a) 1/4 (b) 2 (c) 0.86 (d) -0.05 (e) -4 d What is the closest to 0 in -3/7, -8749, 3/5, 4? -3/7 Which is the closest to -0.2? (a) 48/11 (b) -2 (c) 1/3 (d) -4 (e) 5 c Which is the closest to -2? (a) 34 (b) -0.3 (c) 0 (d) -2/87 (e) 5 b Which is the closest to -118? (a) 25/3 (b) 5 (c) -2/3 c What is the nearest to -5 in -5, 2/7, -1/2, -1/4? -5 What is the closest to -0.1 in 31, 0.1, 723/8, 0.5, 1? 0.1 What is the closest to 0.2 in -2, -0.396, 39? -0.396 What is the closest to 23 in -2, -2/5, 0.7? 0.7 Which is the nearest to 4? (a) -3/7 (b) 2/9 (c) -19/6 (d) 1/5 b What is the nearest to -3 in -2/7, 1/6, 357/5? -2/7 What is the closest to -3.2 in -1/92, 2/7, -1/3? -1/3 Which is the closest to -6840? (a) -0.03 (b) -2/89 (c) -1 c Which is the nearest to 92? (a) 22.6 (b) -0.1 (c) 3 (d) -2 a What is the nearest to -2/11 in -1/7, -1391, 5, -0.3, 2? -1/7 Which is the nearest to -2/7? (a) -1.1 (b) -3 (c) 3 (d) 5 (e) 0.06 e Which is the nearest to -88877? (a) 0.5 (b) 4 (c) 1 a What is the closest to -31 in -17, 2/9, 0.1, -4? -17 Which is the closest to -1? (a) 2 (b) -0.6 (c) 0.04 (d) 11 b What is the closest to -1/2 in 469, 4, -2/5, 17? -2/5 What is the nearest to 14/5 in -0.7, -1, -3/4, 1? 1 What is the closest to -0.1 in -8.7869, -1, -0.8, -1/2? -1/2 Which is the closest to -3? (a) 0.3 (b) 2/5 (c) 5.198 (d) 0.1 d What is the closest to 0.3 in -0.3, 98, 3/2? -0.3 What is the nearest to 234 in 3, 0, 0.008? 3 Which is the closest to 53? (a) 7 (b) 9 (c) 0.3 (d) 0 b Which is the closest to -0.2? (a) 1964 (b) 0.4 (c) -0.1 (d) 1 (e) -2 c What is the closest to 0.04 in 4, 1/495, 0? 1/495 What is the nearest to 0.1 in -3, 0, -0.3, 0.4, 127? 0 What is the closest to 4 in 0.394, 2, 1, 0.03? 2 Which is the closest to 1/4? (a) -27 (b) -7 (c) 23 b What is the closest to -0.08 in -2, 5, 17/6, -2/3? -2/3 Which is the nearest to -0.04? (a) -4 (b) 2 (c) -2/411 c What is the closest to -0.3 in -2, 3, -1, 5/3, 1? -1 What is the closest to 0.1 in 5, 23601, 2/7? 2/7 What is the nearest to -3 in 4, 1229, -5? -5 Which is the closest to -1? (a) -0.02 (b) -2/23 (c) 0.03 (d) 4 b What is the nearest to 141 in 5/19, 2/11, -2? 5/19 Which is the closest to 1/2? (a) 132 (b) 4/5 (c) 1 b Which is the closest to 1/2464? (a) 0.4 (b) 1/2 (c) 1.4 a What is the nearest to -29 in 3, -5, 4/9, -0.1? -5 Which is the closest to -0.1? (a) -117 (b) 1/20 (c) -5 b What is the nearest to 0.841 in 0.4, 1, -5? 1 What is the closest to -2 in -0.5, -1773.4, -5, -1? -1 What is the nearest to -1 in 0.4, 0.24, -0.0963? -0.0963 What is the closest to 1 in 1, -2, 2, 108240? 1 What is the closest to -3/4 in -2.3, -1.2, 0.0442? -1.2 Which is the nearest to 15? (a) -16/43 (b) 2 (c) 3/7 b What is the closest to 3 in -2, 1, -3/8, -224, 0.1? 1 What is the closest to 0.2 in 1850, 1, -0.1, -3? -0.1 What is the nearest to 16 in -3, 1022, 0, -13, 3? 3 What is the nearest to -0.1 in -1/2, -1.6, 141? -1/2 Which is the nearest to 6? (a) -46 (b) 0.4 (c) 0.05 (d) 0 b Which is the closest to -30/11? (a) 99 (b) 0.4 (c) -4 c What is the closest to 1 in 1, -0.9, 2, 0.9, 5? 1 Which is the closest to -2? (a) -2/3 (b) 2 (c) 4747 (d) 4/5 a Which is the closest to 2? (a) 2 (b) -1 (c) 0 a What is the closest to -8/9 in -3/46, 5, -0.5? -0.5 What is the nearest to -3 in -0.5, 2/9, 0.03, -76? -0.5 Which is the ne
{ "pile_set_name": "DM Mathematics" }
(2/(-5))/((-4)/93). 20 Calculate the common denominator of 421022/93632 - (-225)/(-50) and -7/4864. 53504 Let a = 24714405/2238938 - -1/86113. Let p = a - 3163/273. Calculate the common denominator of -25/6 and p. 42 What is the common denominator of 127/880 and 648/648 - 394/400? 4400 What is the common denominator of (-3 + 6 - 88)*3/978 and 44/3? 978 Let g be 5/(-5) + 286393/(-24). Let d = g - -11936. Let u = -5273/8 + 21187/32. Calculate the common denominator of d and u. 96 Suppose -124 = -3*p + 4*s, 0*p - 3*p - s + 104 = 0. Suppose -118*d + 99*d = -532. Calculate the least common multiple of d and p. 252 Let r = 15537 + -15516. What is the lowest common multiple of 1427 and r? 29967 Let i = 354 - -43. Suppose -i = -x - 385. What is the smallest common multiple of 378 and x? 756 Let z = 7426 - 133681/18. Let o = -35193 - -5067817/144. What is the common denominator of o and z? 144 Suppose 39*c + 1680 = 9576 + 3024. Calculate the smallest common multiple of c and 7. 280 Find the common denominator of 17/366 and (25/(-50))/((-7)/(14/(-33))). 4026 Let k(o) = 21*o**2 + 4*o. Let d be k(-1). Find the common denominator of -33/28 and (10 - 1084/112)*d/(-6). 56 Calculate the common denominator of 31/93*((-79)/6 - 3) and 31/1407. 8442 Let s = -149660868/220970611 + -2/880361. Let n be 2/(-228)*(-23739)/502. Let o = s - n. Find the common denominator of -73/4 and o. 76 Let u = 16 - 10. Let w(k) = 69*k**3 - 4*k**2 - 4*k + 2. Calculate the lowest common multiple of u and w(1). 126 Let j(n) = 2*n**2 + 6*n - 106. Let f be j(-9). Calculate the common denominator of (f - (-188)/(-88))/((-6)/40) and 1/(20/(-3))*-46. 110 Let q = -198595/34824 - 8/1451. Suppose -94*p + 45 = -89*p. Find the common denominator of q and 3/p*287/14. 24 Calculate the common denominator of (-12)/8*(-224)/(-1078) and 73/182. 2002 Calculate the common denominator of 11/4792 and (-2 - 260/(-25))*27/32346. 23960 Let u(p) = 27*p - 11. Let z be u(-2). Suppose 59 = g + 3*m - 45, -3*g + 300 = 5*m. Let h = g + z. Calculate the common denominator of -47/7 and h. 7 Suppose -l - 3*l = -8. Suppose 13*v - 90 = 11*v - 3*s, 0 = l*v - s - 90. What is the smallest common multiple of v and 185? 1665 Find the common denominator of 2/(-16) - 1292/5984 and -1/2552. 2552 Suppose -8 = -4*s, s - 321 = 3*o - 2*s. What is the common denominator of (-8)/(-48) + 94/o and -14/45? 630 Let v be 26/39 + ((-319460)/309936 - -2). Let d = v + 1/2348. What is the common denominator of d and -85/14? 154 Let x be ((-6)/4*1)/(6/8). Let d = -22 - x. Let k = d - 4. Find the common denominator of -47/4 and k. 4 Suppose 4*f + 4*d = 1212, -2*f - 3*d = -93 - 512. What is the common denominator of 28*((-364)/f)/(-13) and -19/6? 114 Let x(q) = -3*q + 245. Let z be 12/(-36) - 14/(-6). Suppose z*u + 154 = -a + 6*a, -a = -4*u - 20. What is the lowest common multiple of x(67) and a? 352 Let j = -29 + 31. Suppose -5*b - g - 415 = 0, g - 122 = j*b + 37. Calculate the common denominator of 65/22 and b/10*(-1 + 1/(-2)). 110 Suppose 686 = -25*k + 786. Calculate the lowest common multiple of k and 608/12 + 4/(-6). 100 Suppose -10006 = -i + 5*r, -3*i + 7*r - 12*r + 30018 = 0. Let n = -240229/24 + i. Calculate the common denominator of -77/8 and n. 24 Let y be (18/18)/((-4)/(-136)). Calculate the common denominator of (1264/(-24) + 4)*(-1)/y and -121/60. 1020 Let s = 2/7587 - 134041/15174. What is the common denominator of s and 39/76 + 11*21/(-28) + 8? 114 Let s be 507/(-6) + (-1 - 1)/(-4). Let n = 108 + s. What is the least common multiple of n and 108? 216 Let p = 486161 - 461366742/949. Calculate the common denominator of 119/730 and p. 9490 Suppose 263*r + 4055 - 28505 = 100*r. Calculate the smallest common multiple of r and 90. 450 Let i(x) = 8*x**2 + x + 1. Let v be i(-1). Suppose 15*p + v = 53. Suppose p*s = -3*s + 42. What is the least common multiple of s and 13? 91 Suppose -4*d + 11 = -109. Suppose -2*y + 116 - d = 0. Let g = y + -21. Calculate the lowest common multiple of 20 and g. 220 Let f(i) = -7*i - 123. Let x be f(-23). What is the common denominator of 54/7 and -69*(-5 + x/8)? 28 Suppose 6 = 2*z - 5*r, -z - r - 10 = 3*z. Let b(q) = q**3 + 2*q**2 + 5*q + 4. Let s be b(z). Calculate the least common multiple of s/30 + 2/(-10)*-71 and 20. 140 Suppose 4*j = 8, -3*j = 13*n - 8*n + 5309. Let t = -8525/8 - n. Calculate the common denominator of t and 35/8. 8 Let c = -70429565/2015013 + 3/95953. Let i = 113623/3255 + c. Find the common denominator of i and 12/5. 155 Let l = -26 + 29. Let c(j) = -j**3 - 3*j**2 - 3*j + 7. Let b be c(l). Let s = 66 + b. Calculate the lowest common multiple of s and 20. 20 Let d = -51 + 84. Let u = -16 + d. Suppose o = -3*t - 7, -t - 450 = -4*o - 439. Calculate the lowest common multiple of u and o. 34 Let g = -244/15 + 606/35. Let n be (-76)/32 - -3*4/32. Find the common denominator of g and n/(-7) - 8/1008*-566. 63 Suppose 0 = 2*z + 15*z - 459. What is the lowest common multiple of 156 and z? 1404 Suppose 12*u = 6*u + 30. Let v(c) = c**3 + 7*c**2 + 5*c. Let i be v(-6). What is the lowest common multiple of u and i + (4/12)/(2/(-6))? 5 Let q be 0 - 2/(-10)*317. Let g = 3587/55 - q. Find the common denominator of g and -15*(12 - (24 - -13))*(-1)/18. 66 Let d(k) = 3*k**2 - 5*k + 47. Let w(m) = -2*m**2 + 5*m - 48. Let j(c) = -3*d(c) - 4*w(c). What is the lowest common multiple of j(5) and 46? 46 Let v = -38 - -41. Suppose -v*d = 17 - 5. What is the lowest common multiple of 8 and (-36)/8*d*(-1)/(-3)? 24 Let p = 4417511/99 - 44623. Let s = 40/33 - p. Find the common denominator of s and (-6)/(-3) - (-94)/10. 45 Suppose 38*s = 290 - 252. Calculate the lowest common multiple of 32 and s. 32 Let r be 1734/28*320/(-60). Let t = 36439/112 + r. Find the common denominator of -93/4 and t. 16 Let k be 165/(-40) - -4 - (-401)/8. Let w = k - 57. Find the common denominator of -1 + w/(168/99) and 4. 8 Suppose -8*x + 682 = -438. Let d be 6/(-9) + 2/3. Suppose 10*b + d*b - x = 0. What is the least common multiple of b and 24? 168 Let n = 168315 - 24237479/144. What is the common denominator of n and -77/360? 720 Let i(s) = -s - 8. Suppose f = 2*l + 3*l - 5, -2*f - 2*l = -26. Let g be i(f). Calculate the common denominator of 19/7 and (39/g - -2)*151. 42 Calculate the common denominator of -87/3548 and (-264)/(-20)*(-150)/(-960). 14192 Let s(u) = -6*u - 56. Let q = 79 - 56. Suppose -27 = -5*v + q. What is the least common multiple of s(-10) and v? 20 Let t(w) = -19*w**3 + 2*w + 2. Let s = 21902 + -21767. What is the least common multiple of s and t(-2)? 1350 Let l(q) = -778*q - 5071. What is the lowest common multiple of 150 and l(-7)? 750 Let v be (-2225)/(-2140)*28/18. Let f be (-12)/(-30) - 78/1070. Let b = f + v. What is the common denominator of 35/24 and b? 72 Let l be 0/4 + -1 - -37. Suppose -114 - l = -3*o. What is the smallest common multiple of 5 and o? 50 Find the common denominator of (-5)/(-20) - (-117)/4 and 1*6/9*450/(-165). 22 Let b(m) = 7*m**2 - 51*m + 6. Let a be b(7). Let u be (-8 - a)/((-4)/2). Suppose u*y + y = 2. What is the least common multiple of 10 and y? 10 Suppose 1 = 12*j - 11*j. Find the common denominator of ((-1)/162*-6)/(j/(-76)) and 6/5. 135 Suppose -11 = 2*f - 55. Calculate the smallest common multiple of f and 88 + -26 + 905 + (-9)/(-3). 10670 Suppose 389 = -24*p + 3365. Calculate the common denominator of 3/88 and (-374)/96 - p/186. 176 Suppose 2*s = g - 524, 12*g - 11*g = 3*s + 522. Calculate the smallest common multiple of 216 and g. 4752 Suppose -2*a + 3*r = 790, -2*a + 5*r - 679 = 103. Let z = a - -1987/5. Let t = -5308734/79 - -67199. What is the common denominator of t and z? 395 Find the common denominator of (-3934)/16896*2 + (-18)/(-1683)*17 and -71/39. 4992 Let d(j) = j - 6. Let q be d(2). What is the lowest common multiple of 68 + (30/12)/(2/q) and 24? 504 Suppose -11*c = -6*c - 10. Suppose c*x - 96 = -26. What is the common denominator of ((118/21)/1)/((-24)/(-14)) and x? 18 Let w = -57875/8874 - 44/493. Find the common denominator of (-13)/(-6)*(1537/118 - (-250 + 263)) and w. 2124 Let u = 760 + -712. Suppose -a = t - 21, 2*a + u*t - 36 = 52*t. What is the lowest common multiple of 20 and a? 20 Let m = 298 + -301. Calculate the lowest common multiple of (1*2/m)/
{ "pile_set_name": "DM Mathematics" }
2/2*-5. Calculate the greatest common divisor of 54 and w. 27 Let f be ((-4)/10)/((9/10)/(-9)). Suppose -37 = -3*s + f*v, 43 = 3*s + 2*s - 2*v. What is the greatest common factor of 63 and s? 7 Let r = 252 + -83. What is the highest common divisor of 39 and r? 13 Let b be (-1 - -3)/(0 + 1). Suppose 2*f - 11 = -1. Let w(v) = v**3 - 5*v**2 + v - 2. Let z be w(f). What is the highest common divisor of b and z? 1 Suppose 5*u = 3 + 22. Suppose u*x + w - 136 = 3*w, 87 = 3*x - 3*w. Suppose -5*z = h - 261, -5*h - 2*z + 1425 = -z. What is the highest common factor of x and h? 26 Suppose -773 = -17*y - 110. What is the highest common factor of y and 429? 39 Let d(j) = -6*j - 15. Let f be d(-5). Let p(h) = h + 36. Let a be p(f). Calculate the greatest common factor of 17 and a. 17 Let x be 69/23*(-40)/6. Let u be (10/(-25))/(4/x). Calculate the greatest common factor of u and 5. 1 Suppose v - 852 = 4*r, 4*v = 9*r - 6*r + 3447. Calculate the greatest common divisor of v and 27. 27 Suppose 5*x - 2 = -3*t, 0 = 4*t - x - 0*x - 41. Let o = 93 - 87. Calculate the greatest common factor of o and t. 3 Suppose -o - 3*b + 52 = 0, -o = -4*o + 3*b + 168. Let n be ((-7 - 32) + (2 - -4))/(-1). Calculate the greatest common divisor of o and n. 11 Let v be (16 + 1104)/(-14)*(-4)/10. What is the highest common factor of v and 400? 16 Let o be (-8)/(-10)*(-1 - -6). Let g be (0 - -50) + (-21)/7. Let s = g - 43. What is the highest common factor of s and o? 4 Let g(v) = -12*v**3 - v**2 + 2*v + 2. Let x(w) = w. Let c be x(-2). Let q be g(c). What is the highest common factor of 18 and q? 18 Let i(p) = 9*p - 193. Let u be i(32). What is the highest common factor of u and 19? 19 Suppose 65 = 9*y + 2. What is the greatest common divisor of 161 and y? 7 Let c = 2 - -18. Suppose o + 0*o = 0. Suppose -2*d = -w - 150 - 11, 4*w + 4 = o. Calculate the greatest common divisor of d and c. 20 Suppose -4*p + 8*p = 140. Suppose 323 - p = 4*t. Let i be 1*7 - 8/(-8). What is the greatest common divisor of t and i? 8 Suppose -45 = -3*s + 3*k, -3*k = 2*s - 5 - 5. Let z = -18 + 14. Let n be (76 - z)/2 + 4. Calculate the highest common divisor of s and n. 11 Suppose -4*z = -5*o - 57, 18*z - 20*z + 29 = -3*o. Let k(r) = 14*r - 6. Let q be k(5). Let m = 103 - q. Calculate the greatest common divisor of m and z. 13 Let d(l) = l**2 - 9*l + 21. Suppose 0 = -4*i - 2*u + 26, 0 = i - 0*i - 2*u - 9. Let q be d(i). What is the highest common divisor of 63 and q? 7 Suppose -4*m + 210 = m. Suppose -o - 3*k + 15 = 0, 2*o + 12*k - 8*k - 20 = 0. Let b = o + 14. What is the highest common divisor of b and m? 14 Suppose -4*x + 156 = -84. Suppose 6*a - 17 - 55 = 0. Calculate the greatest common factor of a and x. 12 Let k be -6*-8*1/2. Let f = 94 - 40. Let j = 90 - f. Calculate the greatest common factor of j and k. 12 Let k(y) = -y + 94. Let o be k(17). Calculate the highest common divisor of o and 7. 7 Let g = 27 + -32. Let i(c) = -c**3 - 2*c**2 + c + 7. Let a be i(g). What is the highest common factor of a and 11? 11 Let j be 5*(16/20)/2. Suppose 27 - 15 = -j*x. Let u(n) = -n**3 - 4*n**2 + 4*n + 1. Let r be u(x). What is the highest common divisor of r and 7? 7 Suppose -535 + 1575 = 130*p. Suppose -2*m + 149 = -3*c - 2*c, -m - 5*c + 67 = 0. Calculate the highest common divisor of m and p. 8 Suppose 9 = -3*q - 12. Let j be 282/4 + 3 + q/2. Calculate the greatest common divisor of 7 and j. 7 Let m be (-48 + 12)/(8/(-20)). Suppose -j = -z + 7, z - 10 = 2*j - 5. Calculate the greatest common factor of m and z. 9 Let y(c) = 2*c - 7. Let u be y(6). Let b = -70 + 100. Suppose 4*x - 30 = 5*n, -16 = -u*x + 2*n + b. What is the greatest common factor of 50 and x? 10 Let b = -79 + 54. Let x = b + 49. Calculate the greatest common divisor of 96 and x. 24 Let x = 590 + -346. Suppose -f + x = 5*s, -150 + 38 = -2*s - 4*f. Suppose 21*t - 289 = -37. What is the greatest common factor of s and t? 12 Suppose -28 - 20 = 4*j. Let w(b) = -b**3 - 10*b**2 + 17*b - 3. Let g be w(j). Suppose -i = 4*i - 45. What is the greatest common factor of i and g? 9 Suppose -4 = -3*f + 2*o + 44, f - o - 15 = 0. Let s be (4/(-10))/((-4)/20). What is the highest common divisor of s and f? 2 Let s = -30 + 30. Suppose 0 = -s*z + z - a - 14, a - 14 = -z. Calculate the greatest common divisor of z and 35. 7 Suppose -u + 1 = -3*n, -11 + 14 = 3*u - 3*n. Suppose -3*y = 3 + 9, 0 = -4*j + 4*y + 20. Calculate the highest common divisor of j and u. 1 Let t = -50 + 55. Suppose 3*n = -5*w + 905, -t*n - 2*w = 2*w - 1504. Calculate the highest common divisor of 12 and n. 12 Let u(v) = -v**3 + 5*v**2 - 5*v + 10. Let l be u(3). Calculate the greatest common factor of 13 and l. 13 Let f(l) = -31*l - 178. Let t be f(-8). What is the greatest common divisor of 245 and t? 35 Suppose 4*b + 41 = x, 2*b = -5*x - 0*x + 227. Calculate the highest common factor of x and 9. 9 Let n = 22 - 3. What is the greatest common factor of n and 76? 19 Let r be 192 - -12 - (5 - 1). Let l be (-2)/(-2 - r/(-105)). Calculate the greatest common factor of l and 14. 7 Suppose 4*g + 1621 = 3221. Calculate the highest common divisor of g and 240. 80 Let b = 2985 - 2691. Calculate the greatest common divisor of 12 and b. 6 Let t be ((-4)/6)/(188/96 + -2). Calculate the greatest common factor of t and 392. 8 Let a = -8 + 9. What is the highest common factor of a and 17? 1 Suppose -32*g + 36*g = -100. Let r = g + 36. Calculate the highest common factor of 88 and r. 11 Let m be 2/14 + (-2008)/(-56). Let i be 76/18 - 8/m. Calculate the highest common divisor of i and 4. 4 Suppose -702 = -4*f + 894. Calculate the greatest common factor of f and 21. 21 Suppose -2*y + 418 = 3*y + 2*z, 3*y + 3*z = 258. Suppose 0 = 4*a - 3*i + 2*i - 155, -2*a + 2*i + y = 0. Calculate the highest common divisor of 19 and a. 19 Let x = 60 + -14. Suppose 2*r + 8 = x. Calculate the greatest common factor of 95 and r. 19 Let t(j) = j + 20. Suppose -2*r - 6*l = -l + 46, 0 = -r + 4*l + 3. Let x be t(r). Let c be -4 - (-7)/(x/22). What is the highest common factor of c and 6? 6 Suppose -55*d + 52*d = 102. Let k be (d/6)/((-1)/30). What is the highest common factor of k and 34? 34 Suppose -3*b + 62 = -754. Calculate the highest common divisor of 68 and b. 68 Let b = 135 + -80. Suppose -25 = 5*k - b. Calculate the highest common divisor of k and 3. 3 Let r(d) = -27*d + 207. Let k be r(-5). Calculate the greatest common divisor of k and 18. 18 Suppose -2*k - 7 = -31. Let u(z) = z**2 + 12. Let w(c) = -c. Let m(o) = u(o) + w(o). Let n be m(0). Calculate the highest common divisor of n and k. 12 Let y be 4*6/(-12) + 44. Calculate the greatest common factor of 546 and y. 42 Suppose -40 = -2*v - 0. Suppose -2*o + v = 4*n, 0*n = 2*o + n - 23. Let x = o - 7. What is the highest common factor of x and 35? 5 Let z = -4 + 7. Suppose -q = z*q - 24. Let w(d) = -d**3 - 2*d**2 + 3*d - 12. Let u be w(-5). Calculate the highest common divisor of u and q. 6 Let l = -244 + 295. Calculate the highest common divisor of 27 and l. 3 Let z(h) = -h**2 + 12*h - 16. Let d be z(13). Let w = d - -69. Calculate the highest common factor of 8 and w. 8 Let r be (72/9)/((-2)/(-8)). Suppose -5*d = 4*j - 162, 0*d - r = -j + 3*d. Calculate the highest common factor of j and 19. 19 Let m = -16 - -78. Suppose -62 = -25*l + 23*l. What is the greatest common factor of l and m? 31 Let s = 2746 + -1706. What is the highest common factor of 65 and s? 65 Let r(s) = 2*s**2 - 3*s - 17. Let k be r(-3). Let b be 2 + 115/k - 2/4. What is the highest common divisor of 117 and b? 13 Let p(y) = y**3 + y**2 - y + 60. Let l be p(0). Let v(x) = 22 - 6 + 128*x - 123*x + 26. Let h be v(-6). What is the highest common factor of h and l? 12 Suppose -2*n - 48 = 11*u - 13*u, -5*u - 5*n + 160 = 0. What is the highest common divisor of 252 and u? 28 Let o = -15 + 17. Let w(g) = 7 - g**3 + 0*g - 5*g - 5*g**o + 0*g**2. Let a be w(-5). What is the highest common factor of 4 and a? 4 Suppose 0 = 10*l - 219 - 41. Suppose -5*s = -94 - l. Calculate the highest common divisor of s and 30. 6 Let t(w) = w**2 + 5*w + 30. Let s be t(-21). What is the greatest common divisor of 6 and s? 6 Suppose -60*g - 215 = -65*g. Calculate the greatest common factor of 387 and g. 43 Suppose 1051*y = 1055*y - 153
{ "pile_set_name": "DM Mathematics" }
(b) -2/7 (c) -2 (d) 3/5 a Which is the nearest to -0.1? (a) -0.1 (b) 2 (c) -34/13 a What is the nearest to -2 in -1/4, 45, -5? -1/4 What is the nearest to -0.29 in 1, -5, 4? 1 Which is the closest to -1/3? (a) 2/21 (b) 2/7 (c) 0.07 c What is the closest to 0.1 in 2/9, 5/12, 2/11? 2/11 What is the nearest to 2/3 in 2, -18, -0.3, -23? -0.3 What is the closest to 2/27 in -3, -0.7, 0.5, -2? 0.5 What is the closest to 0 in 0.16, -0.2, -26? 0.16 What is the nearest to 1/2 in -0.3, -1, -3/2, 3/7? 3/7 Which is the nearest to -2? (a) 3 (b) 8 (c) -5 (d) -2 d Which is the closest to -0.9? (a) -1 (b) -1/3 (c) 1/8 (d) -5 a What is the closest to -0.1 in 0, 1/1393, 1, -3? 0 What is the nearest to -1 in 4, 19, 1, 5? 1 What is the nearest to -4 in -8, -4, -3/8, 0.3? -4 Which is the closest to -1? (a) 339 (b) -3/8 (c) 0.2 b What is the nearest to 1 in 0.2, -4/5, -0.4? 0.2 What is the closest to 1/4 in 3, 0.1, 1, -1? 0.1 What is the closest to 2/5 in 0.4, -0.3, -8, 0? 0.4 What is the nearest to 3/10 in 0, 7, 1/6? 1/6 What is the closest to -2 in 0, 18, -2, -0.5? -2 What is the nearest to 0 in 3, -622, 3/2? 3/2 Which is the closest to -1? (a) 145 (b) 2 (c) -1/6 (d) -0.2 d Which is the nearest to -2/3? (a) -9/4 (b) -5 (c) -0.4 c What is the nearest to 96 in -2, -5, -0.4? -0.4 What is the closest to -133 in -0.02, -4, 1? -4 What is the closest to 2/3 in 757, 0.4, 4? 0.4 Which is the nearest to 1? (a) 0.2 (b) 2.3 (c) 2 a Which is the nearest to -1? (a) 2/7 (b) -5 (c) 8/5 a Which is the nearest to 0? (a) -9 (b) -1 (c) -4 (d) -3 b Which is the closest to 0? (a) 0.13 (b) 0.152 (c) 5/3 (d) -3/5 a Which is the nearest to 153? (a) -1/2 (b) 0.4 (c) -0.1 (d) 0.06 b Which is the nearest to 0.1? (a) 45 (b) -1/2 (c) 0.12 c Which is the nearest to -1? (a) -6 (b) -157 (c) -0.8 c Which is the nearest to -1/30? (a) 0.05 (b) 1/2 (c) -1 a Which is the nearest to -2? (a) -0.1 (b) 1 (c) -3 (d) -2.3 d What is the nearest to -1 in -10, -0.01, 5, 0.05? -0.01 What is the nearest to 0 in 4, -5, -2/17? -2/17 What is the closest to 0.11 in 5, 0.1, -4, -2? 0.1 What is the nearest to -1 in 0.39, 3/5, 4, -3? 0.39 What is the closest to -2 in -10, 0.4, -0.4? -0.4 Which is the closest to 2? (a) 0 (b) -59 (c) 2 (d) -1/5 c Which is the nearest to 0? (a) -1/12 (b) -0.2 (c) 1/7 (d) -5 a What is the closest to 0 in 2/19, -2/21, 17.2, 4? -2/21 What is the closest to 0.3 in -1/5, -6, -1/8? -1/8 Which is the nearest to 0.04? (a) -0.5 (b) -1/37 (c) 15 b Which is the closest to 2/3? (a) 0 (b) -25 (c) 5 a What is the nearest to 0.2 in -1/8, 2/5, -0.1? 2/5 What is the nearest to -1 in 0.2, 68, -0.3? -0.3 What is the nearest to -2 in -7/50, 0.3, -2/7? -2/7 Which is the nearest to -1? (a) -9 (b) 16 (c) -3 (d) 5 c Which is the closest to -2/15? (a) 9 (b) -5 (c) -0.5 c Which is the nearest to 2.4? (a) 2 (b) 1/2 (c) -4/5 a Which is the closest to 0.1? (a) 2 (b) -5 (c) -8 a What is the nearest to 0.2 in 0.1, 0, -4? 0.1 What is the nearest to -10 in -0.06, -4, -3, 3? -4 Which is the closest to 0.1? (a) 11 (b) -0.3 (c) -0.1 (d) 0.4 c Which is the closest to -2/9? (a) 15/4 (b) 1/6 (c) 5 b What is the closest to -0.1 in -5, -1/2, 2/7? 2/7 Which is the nearest to -1? (a) 1/7 (b) 0.06 (c) -2 c Which is the closest to -3? (a) -3/2 (b) 3/8 (c) -1 a Which is the nearest to -1/3? (a) -1 (b) -3 (c) -1.99 (d) -0.2 d What is the closest to -1/4 in 11, 1, -3/7, -23? -3/7 What is the nearest to -3 in -0.4, -3/4, -10, 2/7? -3/4 What is the nearest to 0 in 10.1, 4/3, -2, -5? 4/3 Which is the closest to 4? (a) -3/4 (b) 6/13 (c) 0 (d) 1.3 d Which is the closest to 10? (a) 4 (b) 3 (c) -0.2 a What is the nearest to -5 in -2/7, -1, -1/7, 1? -1 Which is the nearest to 1? (a) -3/2 (b) 5 (c) 140 (d) -4 a What is the closest to 0 in 3, 5, 4? 3 What is the nearest to -2/7 in -525, -2/3, 3/8? -2/3 What is the closest to 1 in 13, -9, 5, -0.1? -0.1 What is the nearest to -4 in -1, 8, 6/11, 0.01? -1 What is the closest to -24 in -5, -2, -0.5, -8? -8 What is the nearest to -4/23 in 2/3, 0.2, -5, 8/7? 0.2 What is the closest to 2 in -1, -5, 1/6? 1/6 Which is the nearest to -51? (a) -5 (b) 1/3 (c) 2 (d) 1 a Which is the closest to 2? (a) 7 (b) -0.5 (c) 0.2 (d) 2 d What is the closest to 0 in 5, 1, -2.1, -2? 1 Which is the nearest to -1/5? (a) -6/5 (b) -3 (c) -2/7 (d) -4 c Which is the closest to 12? (a) 3 (b) -2/3 (c) 1 a What is the nearest to 1/4 in 1/10, 5, 27? 1/10 What is the closest to -1 in 5/7, -1, 0.4? -1 What is the nearest to 0 in 7, 4, 5? 4 Which is the closest to 0.1? (a) 4 (b) -4 (c) -0.2 (d) 26 c Which is the nearest to 0.1? (a) -2/23 (b) -3/7 (c) -0.01 c What is the nearest to 91/4 in 5/3, -2/5, -0.05? 5/3 What is the closest to 1 in 5, 0.2, 2/21, -163? 0.2 Which is the nearest to -513? (a) -0.4 (b) -2/9 (c) -3 c What is the nearest to 0 in 2, 1, 10.4? 1 Which is the nearest to 20/7? (a) -0.5 (b) 2 (c) 0 b Which is the nearest to 96/7? (a) 2/15 (b) -1/2 (c) -3 a Which is the nearest to -2/7? (a) -1 (b) 1 (c) -2 (d) 59/4 a Which is the closest to -1? (a) 0.1 (b) 149 (c) 0.06 c What is the closest to -2 in -4, -2/5, -414? -2/5 What is the closest to -1/4 in 0.07, -4, 3, 2? 0.07 Which is the closest to -0.1? (a) 2 (b) -49 (c) 3 a Which is the nearest to 0.1? (a) 2 (b) 0.1 (c) 9 b What is the nearest to 0.2 in -15/7, -2/13, -0.5? -2/13 Which is the closest to 0.7? (a) 4/5 (b) -4 (c) -0.2 a What is the nearest to -2 in -5, 1/4, 0.019? 0.019 What is the closest to -137 in -0.5, 1, 0.4, 0.1? -0.5 What is the closest to 0 in -2, 0.4, 3? 0.4 Which is the closest to -0.11? (a) 2/5 (b) 1 (c) 0.2 (d) -1/6 d What is the closest to -2 in -3, -1/2, 0? -3 Which is the closest to -2/13? (a) -0.003 (b) 1 (c) 5 (d) -1 a What is the closest to 1/2 in 0, 0.02, 2, 0.2? 0.2 Which is the nearest to -1.5? (a) -0.4 (b) 3 (c) 0.3 (d) -3 a What is the closest to -3/5 in 0.3, -4/7, 43? -4/7 What is the closest to -34 in 2, -2/7, 0, -3? -3 Which is the closest to -0.1? (a) -0.5 (b) -5 (c) -6 (d) -1/5 d What is the nearest to 0 in -2, 5, 0.6, -4? 0.6 Which is the nearest to -0.7? (a) -0.5 (b) 2 (c) 2/11 a Which is the closest to 1? (a) -2/13 (b) -2/7 (c) -6 (d) 0.5 d What is the nearest to 0 in -1, -3, 3/5? 3/5 What is the closest to -1 in 1/5, 1/4, 602? 1/5 What is the nearest to 4 in 2/11, -1.52, 5/4, 0? 5/4 Which is the closest to -0.1? (a) -5 (b) -3 (c) -1 (d) 2 c What is the nearest to -514 in 2/17, -4, 0.4? -4 Which is the nearest to -2/5? (a) 4 (b) -2.4 (c) -0.4 (d) 0.4 c Which is the closest to -1? (a) -0.3 (b) 1 (c) 3 (d) -38 a Which is the nearest to -1/6? (a) -4 (b) -5 (c) -1 (d) 1/6 d Which is the closest to -0.1? (a) 3 (b) -283 (c) 0.2 c What is the nearest to -0.1 in -16, 5, -3? -3 Which is the closest to 2/3? (a) 2/9 (b) -0.12 (c) 1 c What is the nearest to -2/7 in -0.3, -3, -5, -1/59? -0.3 Which is the closest to 0.0035? (a) 1/2 (b) -0.2 (c) 3 b Which is the nearest to 0.1? (a) -5.9 (b) 3/7 (c) 0.3 c Which is the closest to 0? (a) 1/3 (b) -6/13 (c) -4/9 a Which is the closest to 1? (a) 2 (b) -3 (c) 5/4 c What is the nearest to 6 in -298/5, -2/11, -0.3? -2/11 What is the closest to 2/3 in 5, -7, 0.4, 14? 0.4 What is the closest to -5 in -2, -4, 3? -4 What is the nearest to 17 in 1, 1/2, 2/9? 1 Which is the nearest to -1? (a) -122 (b) 3 (c) -2 c What is the nearest to 0.1 in -3, 1, -3/7, -6? -3/7 What is the closest to 0.2 in -4/5, -4, 6, -5? -4/5 Which is the nearest to 0.2? (a) -4/181 (b) 3/2 (c) -0.2 (d) -0.4 a Which is the closest to 1? (a) -1/3 (b) -2/7 (c) -0.4 (d) -0.04 d What is the nearest to -0.1 in 254, 0.4, 0.3, -3? 0.3 What is the nearest to 0 in -3, -133, -1, 0.4? 0.4 What is the nearest to 0.2 in -2/11, 0.5, 0.3, -2.4? 0.3 What is the closest to 0.1 in 3, 5, 0.4? 0.4 What is the nearest to -2/5 in 0, -2, 2/5, -3/8? -3/8 Which is the closest to 0? (a) -2/5 (b) -22 (c) 1 (d) -2 a What is the nearest to -24 in -0.2, 4, -5, -2? -5 Which is the nearest to -2? (a) 1/10 (b) 0.4 (c) 2 (d) -0.1 d What is the nearest to 0 in 0, -0.3, -0.229, 3/2? 0 What is the nearest to 0 in -66, 0.2, -0.4, -4? 0.2 Which i
{ "pile_set_name": "DM Mathematics" }
and 72. 36 Calculate the greatest common factor of 250992 and 4597992. 1512 What is the greatest common factor of 104656 and 9672? 248 What is the greatest common divisor of 8083150 and 6150? 2050 Calculate the highest common factor of 2375 and 541063. 19 Calculate the greatest common factor of 1948515 and 27. 3 What is the highest common factor of 2561028 and 708? 12 Calculate the greatest common factor of 1804796 and 34477. 1499 Calculate the highest common factor of 55308 and 334389. 33 What is the greatest common factor of 3724 and 2251984? 28 What is the highest common factor of 4536369 and 158589? 603 Calculate the highest common factor of 327 and 140771647. 109 What is the highest common factor of 1529871 and 15? 3 Calculate the greatest common factor of 2064 and 7322464. 16 Calculate the greatest common factor of 528132 and 408. 12 What is the greatest common divisor of 424 and 74684950? 106 Calculate the highest common divisor of 3135490 and 50. 10 Calculate the greatest common factor of 2384 and 1212944. 16 Calculate the greatest common divisor of 85560 and 54165. 345 Calculate the greatest common factor of 9058 and 405286. 14 Calculate the greatest common factor of 153 and 367862201. 17 Calculate the greatest common divisor of 35958 and 28418. 26 What is the greatest common factor of 2304 and 47856384? 2304 What is the greatest common factor of 12116753 and 649? 11 Calculate the greatest common divisor of 643842 and 37530. 54 What is the highest common factor of 2307030 and 187? 11 What is the highest common divisor of 49 and 51165457? 49 Calculate the greatest common divisor of 20 and 93241070. 10 What is the greatest common factor of 4546720 and 5? 5 Calculate the greatest common divisor of 530 and 16475951. 53 What is the highest common factor of 328944 and 357? 21 What is the highest common divisor of 30472 and 40976? 104 Calculate the greatest common divisor of 3572 and 11825764. 188 What is the greatest common divisor of 42438 and 61355703? 1929 Calculate the highest common factor of 9700 and 64006420. 1940 What is the highest common factor of 2496 and 1383168? 192 What is the greatest common divisor of 89177260 and 2071? 2071 What is the highest common factor of 102542004 and 207? 207 What is the highest common divisor of 14864269 and 239459? 1979 What is the highest common divisor of 92209 and 105703? 2249 Calculate the highest common divisor of 82290416 and 624. 208 Calculate the greatest common divisor of 1575 and 116993205. 315 Calculate the highest common factor of 781344 and 258. 6 Calculate the highest common divisor of 13750 and 22985. 5 Calculate the highest common factor of 159 and 43807733. 53 What is the highest common factor of 6369119 and 2641? 139 Calculate the highest common divisor of 300542 and 796499. 209 Calculate the highest common divisor of 691721342 and 234. 26 Calculate the highest common factor of 17919 and 24937. 11 What is the greatest common factor of 221613 and 74847? 183 Calculate the greatest common factor of 589878 and 1296. 18 What is the greatest common divisor of 3202066 and 42? 14 Calculate the highest common divisor of 625 and 291663125. 625 Calculate the greatest common divisor of 2457048 and 33142. 454 What is the highest common divisor of 30966759 and 54? 27 Calculate the greatest common divisor of 55148 and 6188. 68 Calculate the highest common divisor of 7023672 and 11178. 486 What is the highest common divisor of 6164418 and 36? 6 What is the greatest common factor of 208494 and 9841338? 2106 Calculate the greatest common divisor of 3648 and 1524768. 96 Calculate the greatest common divisor of 6382948 and 13234. 26 What is the greatest common factor of 31815075 and 51? 51 What is the greatest common divisor of 468 and 6478? 2 What is the greatest common factor of 638 and 18999379? 29 What is the highest common divisor of 4661569 and 77? 11 Calculate the highest common factor of 84619 and 157803. 2287 What is the greatest common divisor of 1224 and 79953312? 408 Calculate the highest common divisor of 60809 and 623639. 73 Calculate the greatest common factor of 174 and 131254. 58 Calculate the greatest common factor of 450 and 1225986. 6 Calculate the highest common factor of 52870745 and 1355. 1355 Calculate the greatest common divisor of 1222008900 and 2100. 2100 What is the highest common divisor of 82 and 206323685? 41 Calculate the highest common factor of 792 and 38408733. 99 What is the highest common divisor of 16832 and 49899253? 263 Calculate the greatest common factor of 8053978 and 90. 2 What is the greatest common divisor of 1259316 and 7284? 12 Calculate the highest common factor of 20598116 and 1232. 308 What is the highest common factor of 1772 and 9416? 4 What is the highest common factor of 260400 and 1687392? 10416 What is the highest common divisor of 6633720 and 4680? 360 What is the greatest common divisor of 332590650 and 17850? 1050 Calculate the highest common factor of 3564 and 7498084. 44 Calculate the highest common divisor of 288 and 1720344. 24 Calculate the highest common factor of 3815 and 1505. 35 What is the greatest common divisor of 68241368 and 54050? 2162 Calculate the greatest common divisor of 4002 and 31233. 87 What is the greatest common divisor of 3894 and 1403259? 33 What is the highest common factor of 6837877 and 161? 23 Calculate the greatest common factor of 9082975 and 275. 275 What is the highest common factor of 459762 and 48840? 222 Calculate the highest common factor of 15737410 and 33320. 170 Calculate the highest common divisor of 137984 and 2181344. 352 What is the highest common divisor of 276141 and 7553? 83 Calculate the greatest common factor of 5019279 and 17031. 2433 What is the greatest common factor of 1549065744 and 2736? 2736 What is the greatest common divisor of 243214786 and 2682? 298 Calculate the highest common divisor of 275865339 and 516. 129 What is the highest common factor of 23874 and 756702? 1038 What is the highest common divisor of 323 and 73055? 19 Calculate the highest common divisor of 7484006 and 18466. 2638 What is the highest common divisor of 8073548 and 1554? 518 Calculate the highest common divisor of 32 and 41142752. 32 What is the greatest common factor of 524 and 13872676? 4 What is the greatest common factor of 6626673 and 1068? 267 Calculate the highest common divisor of 14285 and 32750. 5 Calculate the greatest common factor of 2002 and 1795222. 286 Calculate the highest common divisor of 13872516 and 717. 717 What is the highest common factor of 8364356 and 65? 13 Calculate the highest common divisor of 2451 and 289845. 57 Calculate the greatest common factor of 48 and 18301992. 24 Calculate the highest common divisor of 729157 and 3441825. 5099 Calculate the greatest common divisor of 630 and 7705755. 45 What is the greatest common factor of 154294 and 78645? 749 What is the highest common divisor of 40 and 24439860? 20 Calculate the highest common divisor of 125044 and 216032. 172 Calculate the greatest common divisor of 69316 and 2187496. 172 What is the highest common divisor of 17841 and 362919? 57 What is the greatest common factor of 27588 and 982256? 44 What is the highest common divisor of 7323245 and 5? 5 What is the highest common divisor of 7946327 and 17? 17 Calculate the greatest common factor of 2744636 and 7222. 46 Calculate the greatest common divisor of 2334460 and 5411. 773 Calculate the greatest common factor of 2992482 and 45567. 747 What is the greatest common factor of 4670443 and 107? 107 What is the greatest common factor of 21312708 and 733? 733 What is the greatest common factor of 10272 and 266798080? 3424 Calculate the greatest common divisor of 1303778 and 49. 7 Calculate the greatest common divisor of 178 and 824527684. 178 What is the greatest common divisor of 23116578 and 6726? 114 Calculate the greatest common divisor of 273 and 17445948. 39 What is the highest common factor of 7264 and 4872? 8 Calculate the highest common divisor of 72300417 and 7. 7 What is the greatest common factor of 3372957 and 6972? 21 Calculate the greatest common divisor of 200604 and 190968. 876 What is the highest common divisor of 11461815 and 180? 45 What is the greates
{ "pile_set_name": "DM Mathematics" }
Factor u*f**2 + 0 - 2*f. 2*f*(f - 5)/5 Factor -t - 1/2*t**2 + 24. -(t - 6)*(t + 8)/2 Suppose -77 = 4*n - 113, 2*b + 3*n = 31. Factor -9/5 - 1/5*x**3 - 7/5*x**b - 3*x. -(x + 1)*(x + 3)**2/5 Let g(q) be the first derivative of q**3/3 + 5*q**2/2 - 36*q + 4671. Let g(i) = 0. Calculate i. -9, 4 Solve 1/3*y**2 + 488*y + 0 = 0. -1464, 0 Let r(c) = -c**3 + 49*c**2 - 43*c - 237. Let n be r(48). Let a(g) be the first derivative of 26 + 2/39*g**n - 4/13*g + 1/13*g**2. Factor a(x). 2*(x - 1)*(x + 2)/13 Let u be 10/12 - 1/3. Let z = -386488 + 386488. What is x in -3/4*x**2 + 1/4*x**3 + u*x + z = 0? 0, 1, 2 Let h(m) be the first derivative of -3430*m**3/39 - 52*m**2 + 8*m/13 - 12. Solve h(b) = 0. -2/5, 2/343 Suppose -f + 20*f = -19. Let n be (f/4)/(2 - 25/12). Determine s, given that 0 + 2/5*s**n - 4/5*s**2 + 0*s = 0. 0, 2 Suppose 2 = l + 2*s - 1, -2*l + 3*s = 15. Let c be 2/(l*(-2)/6). Determine w so that 2*w**3 - 5*w - 8 + 8*w**3 - 15*w**c - 35*w - 7 = 0. -1, -1/2, 3 Let q(c) be the second derivative of -10/3*c**3 + 0 - 12*c**2 + 7/3*c**4 - 2/15*c**6 + 80*c + c**5. Factor q(s). -4*(s - 6)*(s - 1)*(s + 1)**2 Let l = 896349/8 + -112043. Solve 1/8*i**4 + l*i**2 - 7/8*i - 3/4 + 7/8*i**3 = 0 for i. -6, -1, 1 Let y(k) be the second derivative of -4*k**3 + 50 - 3*k - 1/20*k**6 + 3/40*k**5 + 2*k**4 + 0*k**2. Find u, given that y(u) = 0. -4, 0, 1, 4 Let p = -19955 - -19958. Factor 7/6*n + 3/2*n**2 + 5/6*n**p + 1/3 + 1/6*n**4. (n + 1)**3*(n + 2)/6 Let n(k) be the first derivative of k**8/560 - 9*k**7/280 + k**6/15 + 8*k**3/3 - 8*k - 14. Let c(x) be the third derivative of n(x). Factor c(i). 3*i**2*(i - 8)*(i - 1) Let t(g) = 2*g**3 + 5*g**2 + 8*g + 8. Let x be t(-2). Let z(c) = c**2 - 242*c + 4. Let o(l) = -l**2 + 2*l + 1. Let b(n) = x*o(n) + z(n). Factor b(m). 5*m*(m - 50) Let u(s) = -383 - 15*s + s - 154 + s + 188. Let c be u(-27). Factor -8/3*j**3 + 0*j**4 - 4/3 + 2/3*j**5 + c*j + 4/3*j**2. 2*(j - 1)**3*(j + 1)*(j + 2)/3 Let q(h) be the first derivative of h**5/40 + 5*h**4/24 + 2*h**3/3 + 35*h**2 + 91. Let v(k) be the second derivative of q(k). Factor v(j). (j + 2)*(3*j + 4)/2 Let w(z) be the third derivative of -1/900*z**6 + 0 - 7/36*z**4 - z + 5/9*z**3 + 11/450*z**5 - 18*z**2. Factor w(t). -2*(t - 5)**2*(t - 1)/15 Let w(o) be the first derivative of -2*o**3/3 + 68*o**2 - 1451. Determine p, given that w(p) = 0. 0, 68 Suppose -y = 3*l - 18, 5*l - 19 = 5*y + 11. Determine q, given that 0 + 0*q + 1/6*q**4 - 7/6*q**3 + y*q**2 = 0. 0, 7 Let r be ((-348)/522)/(1/(-6)). Let p(b) be the second derivative of 0*b**r + 0*b**3 - 6*b + 0*b**2 + 1/20*b**5 + 0. Factor p(w). w**3 Let r be 7128/243 + (0/(-2))/(3 - 1). Factor -28/3*v**2 - 80/3 + r*v + 2/3*v**3. 2*(v - 10)*(v - 2)**2/3 Let i(g) = -g**4 - g**2 - 4*g - 1. Let d(h) = 3*h**4 - 5*h**3 + 36*h**2 - 20*h + 4. Let v(u) = -d(u) - 4*i(u). Factor v(f). f*(f - 2)**2*(f + 9) Let x(l) = 8*l - 18 - 3660*l**2 + 3663*l**2 - 8. Let j be x(2). Let 2/3*b**j - 40/3*b + 200/3 = 0. What is b? 10 Factor 285*w - 5/6*w**2 + 1715/6. -5*(w - 343)*(w + 1)/6 Let a(b) be the first derivative of 0*b - 44/9*b**3 + 51 + 7/12*b**4 + 2*b**2. What is x in a(x) = 0? 0, 2/7, 6 Let c = 760 + -760. Let o(g) be the second derivative of c*g**3 + 0 + 0*g**2 + 1/4*g**4 - 18*g + 1/15*g**6 - 7/20*g**5. Suppose o(f) = 0. Calculate f. 0, 1/2, 3 Let -n**3 + 59/2*n**2 + 0 - 55*n = 0. What is n? 0, 2, 55/2 Let a(t) be the first derivative of t**4/8 - 3*t**3/2 - t**2/4 + 9*t/2 + 3011. Factor a(p). (p - 9)*(p - 1)*(p + 1)/2 Let n(q) be the third derivative of q**7/840 + 13*q**6/480 - 19*q**5/240 - 73*q**4/96 - 7*q**3/4 + 1049*q**2. Factor n(t). (t - 3)*(t + 1)**2*(t + 14)/4 Let w = 1076281 - 1076281. Determine q so that -15/2*q + 15/2*q**3 - 3/2*q**4 + 3/2*q**2 + w = 0. -1, 0, 1, 5 Let y(n) be the second derivative of -1/3*n**2 + 0 - 184*n - 1/18*n**4 + 2/9*n**3. Factor y(v). -2*(v - 1)**2/3 Let r(h) be the third derivative of 1/60*h**4 - 1/300*h**6 + 1/5*h**3 + 0 + 59*h**2 - 1/50*h**5 + 0*h. Factor r(t). -2*(t - 1)*(t + 1)*(t + 3)/5 Let m(t) = -5*t**2 - 1839*t + 3689. Let w(i) = -i**2 - 460*i + 922. Let k(r) = -2*m(r) + 9*w(r). Factor k(l). (l - 460)*(l - 2) Let v(d) = 4*d**2 + 16*d - 234. Let o(w) = w**2 - 3*w. Let c(r) = -5*o(r) + v(r). What is m in c(m) = 0? 13, 18 Solve -2366 + 45/2*m**2 + 1/2*m**3 + 156*m = 0. -26, 7 Let m be -4 - (-80)/15 - (-40)/24. Factor 41 - 91*f + 426*f - 206 + 7*f**3 - 175*f**2 + f**m - 3*f**3. 5*(f - 33)*(f - 1)**2 Let z(v) be the second derivative of v**7/168 - 37*v**6/60 + 9*v**5 - 863*v**4/24 + 1583*v**3/24 - 63*v**2 + 2717*v. Solve z(y) = 0 for y. 1, 8, 63 Let t(o) be the first derivative of 2/9*o**3 + 19/90*o**5 + 17/2*o**2 + 16 + 7/12*o**4 + 0*o. Let b(l) be the second derivative of t(l). Factor b(u). 2*(u + 1)*(19*u + 2)/3 Suppose 9*a + 3*w = 8*a + 39, -5*w + 105 = 3*a. Suppose 0 = -a*o + 38*o. Factor o*m**2 + 15/2*m - 5 - 5/2*m**3. -5*(m - 1)**2*(m + 2)/2 Suppose -3*r + 10763 = -2*m + m, 0 = -3*r - 5*m + 10751. Let p = r - 2449. Factor -p + 1158 - 31*z**2 - 4*z**2 - 15*z. -5*(z + 1)*(7*z - 4) Suppose -49*p = -34*p - 45. Let d be (2/(-4))/(10/(-20)). Factor 1 - 8*s**2 - d - 16*s**p + 589*s**4 - 595*s**4. -2*s**2*(s + 2)*(3*s + 2) Let j(x) be the third derivative of -x**7/105 - 5*x**6/12 + 19*x**5/10 + 27*x**4/4 - 127*x**2 - 10*x. Factor j(p). -2*p*(p - 3)*(p + 1)*(p + 27) Let k = -10492 + 10494. Let l(p) be the first derivative of -147/4*p**4 + 63*p**3 + 7 - 45/2*p**k + 3*p. Let l(q) = 0. Calculate q. 1/7, 1 Let h(z) be the third derivative of -z**8/84 + z**6/6 - 2*z**4/3 + 818*z**2. Suppose h(k) = 0. Calculate k. -2, -1, 0, 1, 2 Let c(r) be the second derivative of r**6/15 + 3*r**5/10 - 5*r**4/6 - r**3 + 4*r**2 + 4*r - 228. Factor c(o). 2*(o - 1)**2*(o + 1)*(o + 4) Let a = 631316 + -631316. Factor a*i**2 + 4/3*i**4 - 8/3*i + 8/3*i**3 - 4/3. 4*(i - 1)*(i + 1)**3/3 Let d(n) be the third derivative of n**5/270 - 38*n**4/27 - 17*n**3/3 + n**2 - 9*n - 84. Factor d(o). 2*(o - 153)*(o + 1)/9 Let d(m) be the first derivative of 9/4*m**4 + 0*m**2 + 2*m**3 + 3/5*m**5 + 0*m + 55. Find l, given that d(l) = 0. -2, -1, 0 Let a = -4478699/150 - -29858. Let c(t) be the second derivative of 0 - a*t**5 + 4/15*t**2 + 1/18*t**4 + 3*t - 8/45*t**3. Factor c(m). -2*(m - 2)**2*(m - 1)/15 Let r(s) be the third derivative of s**6/150 - 8*s**5/25 - 151*s**4/30 + 116*s**3/5 - 2*s**2 - 194*s. Factor r(h). 4*(h - 29)*(h - 1)*(h + 6)/5 Let w(h) = -11 - h**2 - 6*h - 2*h + 4*h + 38. Let j be w(-6). Suppose 3 - 48*b - j - 119*b**2 + 222*b**2 - 124*b**2 = 0. Calculate b. -2, -2/7 Factor -4*i - 39789*i**5 - 2*i**4 + 39792*i**5 - 28 - 3*i**4 + 28 - 19*i**2 - 23*i**3. i*(i - 4)*(i + 1)**2*(3*i + 1) Let -16/3*k**4 + 152/9*k + 0 + 2/9*k**5 + 206/9*k**3 - 104/3*k**2 = 0. Calculate k. 0, 1, 2, 19 What is q in 1/5*q**2 + 0 + 48/5*q = 0? -48, 0 Let j(n) be the first derivative of -4*n**3 + 106*n**2 + 72*n - 92. Let q(p) = 12*p**2 - 212*p - 72. Let d(r) = 2*j(r) + 3*q(r). Factor d(y). 4*(y - 18)*(3*y + 1) Let j(o) be the second derivative of o**6/165 + 13*o**5/110 + o**4/3 + 2*o - 128. Let j(w) = 0. What is w? -11, -2, 0 Let t be (-100)/12*(-10)/25 + ((-640)/(-60))/(-8). Factor -148/3*x - 2/3*x**t - 2738/3. -2*(x + 37)**2/3 Let r(f) be the first derivative of f**4/16 - 43*f**3/12 + 39*f**2/2 + 10448. Factor r(w). w*(w - 39)*(w - 4)/4 Factor -20*b + 14*b**2 - 31*b**4 + 12*b**4 + 17*b**4 + 8*b**3. -2*b*(b - 5)*(b - 1)*(b + 2) Let o(y) be the third derivative of y**8/336 + 11*y**7/30 - y**6/40 - 229*y**5/60 + 77*y**4/12 - 3*y**2 + 88*y + 5. Solve o(v) = 0. -77, -2, 0, 1 Let h(u) be the first derivative of u**5/20 + u**4/4 - u**3/12 - u**2/2 - 6983. Factor h(a). a*(a - 1)*(a + 1)*(a + 4)/4 Suppose 68*b + 453 + 544 = 1201. Determine v, given that -40/9*v + 40/9*v**b - 14/3 + 44/9*v**2 - 2/9*v**4 = 0. -1, 1, 21 Let c be (-42)/15*20/8. Let a(g) = -g**3 - 9*g**2 - 18*g - 24. Let v be a(c). Let -35*p**3 - 2*p**2 - 15*p**v + 7*p**2 + 310 - 300 + 35*p = 0. Calculate p. -2, -1, -1/3, 1 Let g(p) be the second derivative of -5*p**3 - 71*p + 0 - 50/3*p**2 - 2/3*p**4 - 1/30*p**5. Factor g(b). -2*(b + 2)*(b + 5)**2/3 Let x(z) be the second derivative of 16/15*z**6 - 1/21*z**7 + 0 - 201*z + 100/3*z**4 + 0*z**2 - 9*z**5 - 125/3*z**3. Factor x(k). -2*k*(k - 5)**3*(k - 1) Let m(t) be the
{ "pile_set_name": "DM Mathematics" }
Find the second derivative of j**2*k**2 - 27*j**2 - 1729*k**3 + 11*k wrt k. 2*j**2 - 10374*k What is the first derivative of -28*d*g**2*q + 3*d*q + 2*d + 5*g*q wrt g? -56*d*g*q + 5*q What is the third derivative of 15*b**5*n**3 + 2*b**4*n**3 + 2*b**2 - 4*n**3 wrt b? 900*b**2*n**3 + 48*b*n**3 Find the third derivative of -20*g*h**2*p**3 + 29*g*h*p - 3*h**3*p**3 + 2*h**3*p**2 + 2*p**2 wrt p. -120*g*h**2 - 18*h**3 What is the second derivative of -98*u**2 + 174*u? -196 What is the second derivative of 469*g**5 + g**4 + 9*g**2 - 837*g + 3 wrt g? 9380*g**3 + 12*g**2 + 18 Find the third derivative of 1669*b**4 + 213*b**2 + 4. 40056*b Find the first derivative of 13518*v + 9263 wrt v. 13518 What is the second derivative of -329*i*k**2*m*u - i*k**2*u - 2*i*k*m*u + 6*i*k - 2*i*u - k**2*u - 4*k - 5*u wrt k? -658*i*m*u - 2*i*u - 2*u Find the second derivative of w**2*y**3 + 74*w**2 + 2*w*y**4 + 3*y**4 + 2*y wrt y. 6*w**2*y + 24*w*y**2 + 36*y**2 What is the first derivative of -365*c + 432? -365 Find the third derivative of -33*m**6*t**2 - 25*m**3*t**2 - 10*m**2 + 8*m*t**2 wrt m. -3960*m**3*t**2 - 150*t**2 What is the third derivative of -221*v**3 + 196*v**2? -1326 What is the first derivative of -4*d**2*m**3 - 86*d**2 - 3*m**3 wrt m? -12*d**2*m**2 - 9*m**2 Differentiate 6*g*t**3 + 2*g*t - 22*g + 319*t**3 with respect to g. 6*t**3 + 2*t - 22 What is the derivative of -1409*h*q*z**2 - 4*h*z + 44*z**2 wrt q? -1409*h*z**2 Differentiate -315*d + 866 wrt d. -315 Find the first derivative of p**3*w + 54*p**3 - p**2*w + 14*p*w**2 + 1 wrt w. p**3 - p**2 + 28*p*w Differentiate -24490*j - 18572 with respect to j. -24490 Differentiate -94*k**2*m**2 - 2*k**2*m - 944*k**2 + m**3 with respect to m. -188*k**2*m - 2*k**2 + 3*m**2 What is the second derivative of 9273*c**4 + 8366*c wrt c? 111276*c**2 What is the second derivative of 45*b**2*p**2*z**2 + 17*b**2*p*z**3 + b**2*p*z**2 - 5*b*p**2*z**3 - p**2*z + 24*p*z**2 wrt p? 90*b**2*z**2 - 10*b*z**3 - 2*z Find the first derivative of -65*d**3 - 2*d*g**3 + 689*g**3 wrt d. -195*d**2 - 2*g**3 Find the second derivative of 7493*r**3 - 7873*r. 44958*r What is the third derivative of 11656*o**5 - 26*o**2 - o + 3 wrt o? 699360*o**2 Find the first derivative of 7*g**4 - 38*g - 4467 wrt g. 28*g**3 - 38 Find the first derivative of -3*j*s*z - 915*j*z**3 + 10*j + 437*s*z**3 wrt s. -3*j*z + 437*z**3 Differentiate 4*g**3*k*l + 5*g**3*k + 2*g**3*l - 19*g**2*l + 18*g with respect to k. 4*g**3*l + 5*g**3 Differentiate 204*p*w**2 - 6*p*w - 31*w**2 - w wrt p. 204*w**2 - 6*w What is the first derivative of 2218*h**3 + 1527 wrt h? 6654*h**2 Find the second derivative of -270*r**2 + 3*r + 16. -540 Differentiate 77*d**3*n**3 + 5*d**3*n*r - 3*d**3*n - d**3 - 2*n**3*r + 16*n**2*r**2 wrt r. 5*d**3*n - 2*n**3 + 32*n**2*r What is the derivative of -223*f**3 - 24? -669*f**2 Differentiate 2*i**3*v + 7*i**2*v**2 - 5*i*v**3 - 814*v**3 wrt i. 6*i**2*v + 14*i*v**2 - 5*v**3 Find the third derivative of -y**4 - 86*y**3 - 19*y**2. -24*y - 516 Find the second derivative of 2*r*s**2*t + 15*r*s*t + 11*r*s + 28*s**3*t + 2*s**2*t + 1 wrt s. 4*r*t + 168*s*t + 4*t What is the first derivative of -2*k*s**3 - 13*k - 6*s**4 + 26*s + 18 wrt s? -6*k*s**2 - 24*s**3 + 26 Find the first derivative of -15*i**2*s + 2*i**2 + s - 511 wrt s. -15*i**2 + 1 Differentiate 1154*h**2*u**2 - 23*h**2 with respect to u. 2308*h**2*u Find the first derivative of 109*l*u**3 - l*u + 7*l + u**3 - 22 wrt u. 327*l*u**2 - l + 3*u**2 Differentiate -429*j**2 + 9*j + 157 wrt j. -858*j + 9 What is the derivative of -1345*n**2 + 2*n - 3291? -2690*n + 2 Differentiate 2*h**2*o*q**2 - h**2*o*q + 8*h**2*o - o - 5*q**2 with respect to q. 4*h**2*o*q - h**2*o - 10*q What is the first derivative of -2*b**2*c + 3*b**2*r*w - 13*b*c*r + 18*c + 2*w wrt r? 3*b**2*w - 13*b*c What is the second derivative of 23*h**4*w**2 + 17*h**2*j**3*w + 3*h*j**3*w**2 - 2*h + 50*w**2 wrt h? 276*h**2*w**2 + 34*j**3*w What is the first derivative of -10267*a**2*c - 16344*a**2 wrt c? -10267*a**2 What is the second derivative of -3*h*w**3 + 22*h*w + 107*w**5 + 2*w - 4 wrt w? -18*h*w + 2140*w**3 Find the third derivative of -20*j**6 - j**4 + 2*j**2 + 11 wrt j. -2400*j**3 - 24*j Find the second derivative of -2890*h**3*s**2 + 2*h**3*s + 214*h + 2*s wrt s. -5780*h**3 What is the derivative of 713*n*r*s**2 - 65*n*s**2 - 2*n*s + 2*s**2 wrt r? 713*n*s**2 What is the second derivative of 222*f*n**3 - 2*f*n**2 + 2*f*n - 2*n**3 + 8*n wrt n? 1332*f*n - 4*f - 12*n Differentiate -7*i**3 - i - 3551 with respect to i. -21*i**2 - 1 Find the second derivative of 257*a**3 - 129*a. 1542*a What is the third derivative of -165*f**3 + 2*f**2 + 27*f wrt f? -990 What is the third derivative of 184*a*o**2*t**3 - a*o**2*t**2 - 3*a*o**2 - 17*a*o*t**2 + a*t**3 + a*t + 2*o**2*t**3 wrt t? 1104*a*o**2 + 6*a + 12*o**2 Find the second derivative of 163*r**4 + 95*r wrt r. 1956*r**2 What is the first derivative of -1085*r**2*y - 2792*y wrt r? -2170*r*y What is the third derivative of 341*o**5 - 2*o**2 - 76*o wrt o? 20460*o**2 Find the third derivative of -273*y**4 - 2*y**3 - 5*y**2 - 8*y. -6552*y - 12 What is the second derivative of -3*i**4 - 21*i**3 + 274*i? -36*i**2 - 126*i Find the second derivative of -29*c**5*i - 3*c**2*i**3 + c*i**3 - 13*c + 4*i**3 wrt c. -580*c**3*i - 6*i**3 What is the second derivative of -6*b**4*m + 2*b**2*m**2 + 16*b**2 - b*m - 61*m**2 wrt b? -72*b**2*m + 4*m**2 + 32 What is the second derivative of 64*q**2 + 471*q wrt q? 128 What is the second derivative of 2432*a**2 - 958*a? 4864 What is the second derivative of -q**4 - 4*q**3 - 43*q**2 + 6374*q wrt q? -12*q**2 - 24*q - 86 Find the third derivative of -10*a**6 - 13*a**4 + 6432*a**2. -1200*a**3 - 312*a Find the third derivative of 6*a**4*u + 32*a**3*u**3 + 4*a**2 + 11*a*u**3 - u**3 wrt a. 144*a*u + 192*u**3 What is the second derivative of 412*h**5*y**2 + 2*h**3*y + 7*h*y**2 + 52 wrt h? 8240*h**3*y**2 + 12*h*y What is the third derivative of 77*n**3*s**4 - 3*n**3*s**3 - 3161*n**3*s + 4*n*s**4 + 2*s**2 wrt s? 1848*n**3*s - 18*n**3 + 96*n*s What is the third derivative of 3644*d**5 - 245*d**2 + 3? 218640*d**2 Find the second derivative of -7*o**5 + 26*o**3 + 5719*o + 2 wrt o. -140*o**3 + 156*o Find the second derivative of -3*j**3*x**3 + 8*j**3*x + 22*j**2*x**5 - 6*x wrt x. -18*j**3*x + 440*j**2*x**3 Find the third derivative of 211*s**5 + 19*s**2 wrt s. 12660*s**2 What is the second derivative of -o**2*q*t*y - 9*o**2*q*t - o**2*t*y + 4*o**2*y**3 - 7*o*q*t*y**2 + 7*o*t - q*t*y**3 wrt y? 24*o**2*y - 14*o*q*t - 6*q*t*y Find the third derivative of -142*n**5 + 34*n**2 wrt n. -8520*n**2 Find the third derivative of -477*f**5*s**2 - 4*f**3*s**2 + 48*f**2*s**2 + 25*f*s**2 wrt f. -28620*f**2*s**2 - 24*s**2 What is the derivative of 1456*y - 555 wrt y? 1456 Find the third derivative of 17*g**3*j**3 - 9*g**3*j**2*z - g**3*j - 2*g**2*z**2 - 175*g*j**3*z**3 + 86*g*j**2*z**3 wrt j. 102*g**3 - 1050*g*z**3 Find the third derivative of -26*u*y**3 + 2*u*y**2 + 521*u*y + 90*y**3 wrt y. -156*u + 540 What is the second derivative of 31*a*w**5 + 3*a*w**3 - 96*a*w - 2*w wrt w? 620*a*w**3 + 18*a*w Find the first derivative of 3*c*p**3 + 102*c*w**3 + 2*c + 3*p**3*w + 197*p**2 + 2*p*w**4 wrt w. 306*c*w**2 + 3*p**3 + 8*p*w**3 What is the second derivative of -550*q**2*v**2*y**2 + 11*q**2*y - 20*q*v*y - v**3*y**2 - 2*v**3*y wrt y? -1100*q**2*v**2 - 2*v**3 Find the third derivative of 3*z**4 + 769*z**3 - 713*z**2 + 3. 72*z + 4614 What is the second derivative of 9*s**4 + 23*s**3 - 51*s + 3 wrt s? 108*s**2 + 138*s What is the first derivative of 8768*a*s**2 - 8701*s**2 wrt a? 8768*s**2 Find the third derivative of -10*k**6 + k**4 + 250*k**2. -1200*k**3 + 24*k Find the third derivative of -k**3*y*z**3 - k**3*y + 2*k**2*y*z**2 + 2*k**2*y*z - 81*k*y*z**3 wrt z. -6*k**3*y - 486*k*y What is the third derivative of 11903*j**3 - 2*j**2 - 596 wrt j? 71418 What is the first derivative of 155*c*p*s - 3*c*p + c + 17*p wrt s? 155*c*p Find the first derivative of 16*a**2 + 220*a + 9614 wrt a. 32*a + 220 Find the third derivative of 23*t**3*u**2 - t**3 + 41*t**2 + 2*t*u**2 - u**2 wrt t. 138*u**2 - 6 Find the third derivative of 5*f**5 - 21*f**4 - 7*f**3 - 16061*f**2 wrt f. 300*f**2 - 504*f - 42 What is the first derivative o
{ "pile_set_name": "DM Mathematics" }
4242987129? -156334242987129.5 Put together -0.047193546072 and -12. -12.047193546072 Calculate 2882.442 - 297432. -294549.558 -5085 - 50059215836 -50059220921 Work out -13.5498492832 - 624. -637.5498492832 -3450442516 - 359 -3450442875 Subtract 12 from -82821692.49. -82821704.49 Sum -7.97223 and -33749.2. -33757.17223 What is the difference between 40392978287 and 0.6? 40392978286.4 Work out -0.62953 + -162929410. -162929410.62953 Work out 0.2 - 630663224828. -630663224827.8 What is 600723.22 minus -76.8396? 600800.0596 Sum 0.12419 and -5234343. -5234342.87581 What is 1.4304201 less than -87.9? -89.3304201 What is 1200 minus -76782937? 76784137 What is 0.06 take away -6071293305? 6071293305.06 What is the distance between -57031 and 0.588228121? 57031.588228121 What is the difference between 62.707038138 and 28? 34.707038138 What is -0.33 less than -53135.671? -53135.341 Work out 0.009355 + -19.8082. -19.798845 What is the distance between -46051.6731 and 0.53552? 46052.20862 What is -11599441 - 46619? -11646060 Work out -1691533904.2967 - -1. -1691533903.2967 Sum -5 and -85123122629703. -85123122629708 What is the difference between 4465967059917 and -165? 4465967060082 Add together 82456 and -1827.4. 80628.6 Add 4630276484869 and 0.004. 4630276484869.004 Sum -354.021 and 63073940. 63073585.979 What is 0.2477714805 minus 40407? -40406.7522285195 What is the distance between 2543.861534433 and 0? 2543.861534433 Sum 14069 and -26384218. -26370149 What is 24 + 4261600461414? 4261600461438 What is -360901032 + -9308? -360910340 Add together -137381 and -51289.323. -188670.323 What is -24.32 less than -89169730.22? -89169705.9 Sum -2306.15 and 436999. 434692.85 What is -822 plus -26028882847? -26028883669 4.01356894581 + -5 -0.98643105419 Total of 3874584 and -495.6. 3874088.4 What is 30 less than 2661567690116? 2661567690086 What is the difference between -5140885395 and -987? 5140884408 Work out -2 - 1094515.0990985. -1094517.0990985 32241380 + -1282 32240098 865477022.18 - -0.3 865477022.48 What is 58610 less than 615412? 556802 Calculate -45 - -239336540. 239336495 0.01855257 - 0.0213529 -0.00280033 Add together -26 and -1.80161821123. -27.80161821123 Work out 383 - 6775162. -6774779 What is -1813612320 take away -14818? -1813597502 3+124486730396.187 124486730399.187 What is the difference between -483770 and -170071? 313699 What is -0.0542 take away 29074111? -29074111.0542 What is -121469359 - -7815707? -113653652 2.86232569693+4.1 6.96232569693 What is -17 less than -70379474795? -70379474778 Add 9629452 and -0.6151. 9629451.3849 What is -0.1303954 + 49278601? 49278600.8696046 What is 1425 plus 3307633765? 3307635190 What is -873721866 less than -0.81679? 873721865.18321 Calculate -0.2260551 + -19349. -19349.2260551 What is the difference between 26686502 and -113577.1? 26800079.1 What is the difference between 0.0838670638915 and 0.16? 0.0761329361085 Put together -2 and 28880552240628. 28880552240626 Add 381555970377 and -0.146. 381555970376.854 Work out 884 - 28135.85955. -27251.85955 Total of -23939 and -1616041.6. -1639980.6 Add together -277.754 and 411.516265. 133.762265 Work out 0.06 - -8982107361.5. 8982107361.56 What is 0.014454 - 3257307751? -3257307750.985546 Calculate 999834794.7 - -955. 999835749.7 Total of -356338799 and -4283. -356343082 What is -266 minus 456223587385? -456223587651 -0.738508848037 + 2 1.261491151963 5.269 - 73764267.12 -73764261.851 What is the distance between 1796422676465 and -0.031? 1796422676465.031 What is 126 minus 1492953155498? -1492953155372 -151841.8 + -7023308 -7175149.8 Calculate 609653922247 + -0.0865. 609653922246.9135 What is 0.32282414 less than -249762? -249762.32282414 What is -2044 minus 1115631277? -1115633321 0.3 + -14254299740 -14254299739.7 Total of -1 and 15991.22815721. 15990.22815721 What is -0.4 + -15.4600924358? -15.8600924358 Work out 117457521 - -1986. 117459507 What is 715.3 minus 94938102076? -94938101360.7 Calculate 0.00858605 - -710543. 710543.00858605 42242819334.4 + -932 42242818402.4 What is 0.5 - -328613074066564? 328613074066564.5 Calculate 3757.5 - 154726. -150968.5 What is 8.50210970488 less than 145? 136.49789029512 What is -0.030302916321 less than -21525? -21524.969697083679 55506661803.763 + 1 55506661804.763 Put together 80568443919 and -864. 80568443055 What is -35336573947562 minus 6? -35336573947568 What is -4843.21 minus 64.0434? -4907.2534 Sum -56 and 2037374291211. 2037374291155 What is 31106.31 plus -1.3036127? 31105.0063873 0.8348 + -6873.9588906 -6873.1240906 Calculate 1 - -2455.63117245. 2456.63117245 Add together -2350264992 and -55828. -2350320820 Add -28 and -11466177507.28. -11466177535.28 Work out 14 + -767163838.69. -767163824.69 What is 2418 minus 2453207529? -2453205111 Sum -3077626 and 285029. -2792597 Sum -18 and -2679268474. -2679268492 Work out -0.4 + -27288292166367. -27288292166367.4 What is -0.095155 take away 28506723? -28506723.095155 What is 1711725208585 - -0.1? 1711725208585.1 Total of 17 and -11.0039672364. 5.9960327636 Add -0.18060672 and 1238200. 1238199.81939328 What is -0.084384 plus 3065113940? 3065113939.915616 Add 5957 and -44194853591. -44194847634 Add together -2801336650269 and 4. -2801336650265 What is 0.04 take away 6736994819903? -6736994819902.96 Work out 564 + 169743373.8. 169743937.8 Calculate 159523837212 - -4. 159523837216 What is 1.2592667 + -2.8212? -1.5619333 Work out 282749443.71 + 0.0578. 282749443.7678 -61418095254906 - 5 -61418095254911 Sum 0.167759666 and -1186. -1185.832240334 What is 7324177 minus -40.449? 7324217.449 Put together -234294 and 100950486. 100716192 Work out -283494 - 28868. -312362 What is 874120 less than 1.392394? -874118.607606 Put together -135875612 and -6121. -135881733 Subtract -5 from 133016174701. 133016174706 Calculate -5279655434 - 0.02263. -5279655434.02263 Add together 198001730 and -358. 198001372 Put together -0.912 and -13946922.8815. -13946923.7935 Put together -59 and -6537677.566176. -6537736.566176 -22169.663515 - 12 -22181.663515 What is the distance between -0.0405 and -237653118451? 237653118450.9595 What is -49.6 less than 176544804682? 176544804731.6 Add together 5 and 699421603861. 699421603866 What is -46 - -198228573889? 198228573843 Add -742 and 647839083.04. 647838341.04 -803681456743 + -3 -803681456746 Work out 223203273879 - 5. 223203273874 Calculate -1801 - 12294039. -12295840 Calculate -0.3 - 86900983194356. -86900983194356.3 What is the distance between -5.4899 and 3896097.11? 3896102.5999 Calculate -5 - -358602075760. 358602075755 49.025994 + -1626 -1576.974006 What is 0.225023 less than 73546416? 73546415.774977 What is -37.6 + -47283878? -47283915.6 What is 655.5 + 1446120.7? 1446776.2 Work out 810.64 + -90019282. -90018471.36 Calculate 17130.2091006 + 0.3. 17130.5091006 Add 36 and -238721.811. -238685.811 Work out 4392814 + 13596454. 17989268 Add 61122148 and -28424. 61093724 1554.135 - -34264 35818.135 Sum -10255.196302 and 0.084. -10255.112302 3.33 + -66522427338 -66522427334.67 Sum -1350.77 and 148.46309. -1202.30691 What is the difference between -0.06675758 and -2413? 2412.93324242 What is the difference between 0.05322854368 and 0.4073? 0.35407145632 Add together -380048485.693 and -3. -380048488.693 Add -72969 and -81989795. -82062764 -4.49 - 583223164514 -583223164518.49 Put together 170.088 and 143765609. 143765779.088 0.96998875+0.0502933 1.02028205 What is -84510415439.8 minus 0.03? -84510415439.83 What is 100354181.64842 less than -0.41? -100354182.05842 25+4176444.634 4176469.634 Calculate 3 - -11441006251. 11441006254 16.2140400422 + -16 0.2140400422 Work out -61969512 - 164699. -62134211 80958+209.62 81167.62 -1201284+370019.8 -831264.2 Add 26832183 and 0.4498126. 26832183.4498126 Work out -1063185.13811 + 0. -1063185.13811 What is -4592915429 + 313? -4592915116 What is the distance between -8 and 161893572158? 161893572166 Calculate 0.5 - -1110401242.589. 1110401243.089 What is 6162955 + 812.96? 6163767.96 Work out -1.14451301 + -1267395. -1267396.14451301 Work out -2.207205 + -474967. -474969.207205 Add together -0.9 and -2347.686126961. -2348.586126961 Add together -15536 and -48.467647. -15584.467647 Work out 280978577 + 0.
{ "pile_set_name": "DM Mathematics" }
84, -276808, -492138? -768974 What is the next term in -8024, -31842, -71540, -127118? -198576 What is the next term in 67839271, 67839255, 67839249, 67839259, 67839291, 67839351, 67839445? 67839579 What is the next term in -256379932, -256379930, -256379928, -256379926, -256379924? -256379922 What is the next term in -210388, -1682230, -5677240, -13457002, -26283100? -45417118 What is the next term in 3473, 26435, 88411, 208907, 407429, 703483? 1116575 What is next in 6325, 11951, 17577, 23203? 28829 What is the next term in -6373, -19713, -41949, -73081, -113109, -162033? -219853 What comes next: 125191, 250379, 375567, 500755, 625943, 751131? 876319 What comes next: -9663, -9396, -8951, -8322, -7503? -6488 What is next in -9242, -18961, -29160, -39839, -50998, -62637? -74756 What comes next: -20869680, -41739359, -62609038, -83478717, -104348396, -125218075? -146087754 What is next in -24406, -35407, -46406, -57403, -68398, -79391? -90382 What comes next: 2168, 5973, 11412, 18485? 27192 What is next in -10571862, -10571863, -10571864, -10571865? 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-84690 What is next in 40741, 81830, 150311, 246184, 369449, 520106, 698155? 903596 What comes next: -167832, -168265, -168698? -169131 What is next in 6155, 12092, 17809, 23306, 28583, 33640? 38477 What comes next: 427340, 427331, 427322, 427313? 427304 What is next in 19313, 19159, 18911, 18569, 18133, 17603? 16979 What is the next term in -1259928, -1259938, -1259962, -1260006, -1260076, -1260178? -1260318 What is next in 31290, 62404, 93372, 124194, 154870? 185400 What comes next: -26750, -26601, -26448, -26291, -26130, -25965, -25796? -25623 What is the next term in -171690, -171676, -171662, -171648? -171634 What comes next: -2373, -4948, -7717, -10680, -13837, -17188, -20733? -24472 What comes next: 15781596, 31563176, 47344756, 63126336, 78907916? 94689496 What comes next: -56873, -113341, -169809, -226277? -282745 What is the next term in -1403, -2780, -4109, -5390? -6623 What comes next: 880, 5804, 18840, 44044, 85472, 147180? 233224 What is the next term in -812244, -1624326, -2436406, -3248484? -4060560 What is next in 748, 2647, 5722, 9973? 15400 What is the next term in 38, 24, 22, 32, 54? 88 What is next in -1960, -2338, -2720, -3106, -3496, -3890, -4288? -4690 What is next in 37921, 76497, 115079, 153667, 192261? 230861 What is next in 3817656, 3817647, 3817636, 3817623, 3817608? 3817591 What is next in -60607, -61326, -63269, -67048, -73275? -82562 What is the next term in 51873, 84944, 118015, 151086, 184157? 217228 What comes next: 1599806, 1599804, 1599802? 1599800 What comes next: -7585420, -30341718, -68268882, -121366912, -189635808? -273075570 What is the next term in 2121924, 2122006, 2122142, 2122332, 2122576, 2122874, 2123226? 2123632 What comes next: -14718, -15511, -16282, -17019, -17710, -18343, -18906, -19387? -19774 What is the next term in -1009, -2174, -3197, -4072, -4793, -5354? -5749 What is the next term in 6774421, 13548841, 20323261, 27097681? 33872101 What comes next: 17580, 17382, 17246, 17202, 17280, 17510? 17922 What comes next: -48277, -52720, -57163, -61606, -66049, -70492? -74935 What is next in 115936, 120570, 125204, 129838, 134472, 139106? 143740 What comes next: -3759, -3802, -3851, -3906, -3967, -4034, -4107? -4186 What is the next term in 22275, 22395, 22719, 23349, 24387, 25935, 28095, 30969? 34659 What is next in -224006, -448084, -672162? -896240 What comes next: 1211, 14115, 49149, 117377, 229863, 397671? 631865 What comes next: -2747, -6371, -9987, -13595, -17195? -20787 What comes next: 4872, 19467, 43794, 77853, 121644? 175167 What is next in -41574, -333013, -1124402, -2665821, -5207350, -8999069, -14291058? -21333397 What is the next term in 642192, 642143, 642094? 642045 What is next in 416869, 1667499, 3751881, 6670009, 10421877? 15007479 What comes next: 746, 6430, 21988, 52358, 102478, 177286? 281720 What comes next: 122767, 245928, 369493, 493468, 617859, 742672? 867913 What is the next term in 319834, 319986, 320232, 320566, 320982? 321474 What is next in -6894, -54977, -185476, -439599, -858554, -1483549, -2355792? -3516491 What comes next: 60524, 242038, 544428, 967586, 1511404? 2175774 What is next in -3108511, -6217018, -9325535, -12434068, -15542623, -18651206? -21759823 What comes next: -10097, -11897, -13697? -15497 What comes next: -838, -6687, -22580, -53545, -104610? -180803 What is the next term in -47815915, -47815941, -47815983, -47816041, -47816115, -47816205? -47816311 What comes next: 114895, 229789, 344657, 459487, 574267, 688985, 803629? 918187 What comes next: -1481, -1659, -1069, 295, 2439, 5369, 9091, 13611? 18935 What is next in 802, 1617, 2396, 3139, 3846? 4517 What comes next: 3408208064, 3408208065, 3408208066? 3408208067 What comes next: 11377, 23764, 36139, 48496, 60829, 73132, 85399? 97624 What is next in 10006, 9869, 9726, 9577, 9422? 9261 What comes next: 4092, 9827, 25360, 55581, 105380? 179647 What is the next term in 76686, 76657, 76628, 76599, 76570, 76541? 76512 What is the next term in -127699, -255448, -383201, -510958, -638719, -766484? -894253 What comes next: -1622751, -1619838, -1616939, -1614060, -1611207, -1608386, -1605603, -1602864? -1600175 What comes next: 15757, 15438, 15119, 14800, 14481, 14162? 13843 What comes next: 52405952, 52405947, 52405940, 52405931, 52405920? 52405907 What is the next term in -142508581, -142508580, -142508579? -142508578 What comes next: 311580, 311545, 311510, 311475? 311440 What is the next term in -22541770, -22541775, -22541780? -22541785 What comes next: 485856, 971701, 1457536, 1943361? 2429176 What is next in 6452, 5441, 4430, 3419, 2408? 1397 What is the next term in 51159, 103224, 155289, 207354, 259419, 311484? 363549 What comes next: 2466, 6062, 10784, 16632, 23606, 31706? 40932 What comes next: -921, -3729, -8587, -15639, -25029, -36901? -51399 What comes next: -1561, -6707, -15285, -27295? -42737 What comes next: 19087, 19052, 19011, 18964, 18911? 18852 What is next in 11913472, 11913468, 11913464, 11913460? 11913456 What comes next: -32166, -63344, -94520, -125694, -156866, -188036, -219204? -250370 What comes next: -156933, -157093, -157457, -158127, -159205? -160793 What is next in 1056620, 2113226, 3169808, 4226354, 5282852, 6339290? 7395656 What comes next: -30095, -55818, -81541, -107264, -132987, -158710? -184433 What comes next: -15673, -31531, -47689, -64297, -81505? -99463 What is next in 43890, 87727, 131514, 175251? 218938 What comes next: -92804, -96677, -103128, -112157? -123764 What is next in -528272, -528285, -528298, -528311, -528324? -528337 What comes next: -3371, -6732, -10071, -13376, -16635? -19836 What is the next term in 681429, 681446, 681463, 681480, 681497? 681514 What is the next term in -8671883, -8671830, -8671777? -8671724 What is the next term in -8228715, -16457432, -24686149, -32914866? -41143583 What comes next: -2254349, -2254361, -2254373, -2254385, -2254397? -2254409 What is next in 384, 792, 1140, 1380, 1464? 1344 What comes next: 4689, 39208, 132909, 315384, 616225? 1065024 What comes next: 2022, 6663, 14370, 25149, 39006, 55947, 75978, 99105? 125334 What is the next term in 8277, 7944, 7605, 7260, 6909, 6552, 6189?
{ "pile_set_name": "DM Mathematics" }
Which is the smallest value? (a) 0.13 (b) 2/7 (c) w (d) -0.1 d Let g be 1524/(-234) + 7 + (-2)/13. Which is the second smallest value? (a) -6 (b) g (c) -3 c Let p = -2 - 3. Let v = 0.1 - -49.9. Let m = -49.93 + v. Which is the third biggest value? (a) m (b) -2 (c) p c Let n = -122/301 - 1/43. Let m = 29 + -58. Let g = m + 34. Which is the second smallest value? (a) g (b) 1 (c) n b Let r be 19/(-76) + (-15)/(-92). Suppose 2*g = -2*g - 16. Which is the second smallest value? (a) r (b) -0.1 (c) 1 (d) g b Let r = -932 - -937. Which is the third smallest value? (a) r (b) -0.3 (c) -79 a Let z = 491 - 481. Which is the biggest value? (a) z (b) -1/3 (c) -3 (d) 2/5 a Let s = 18 - 17.65. Let b = s + 2.65. Let l = -4 - -2. What is the second smallest value in b, l, 0.1? 0.1 Let w be (66/(-55))/((-4)/(-10)). What is the smallest value in w, -41, 1/3? -41 Let t = -0.172 - -0.372. What is the second smallest value in -2, 23, -0.1, t? -0.1 Let n = -93.7 + 98. Let y = 4.11 + -0.11. Let i = n - y. What is the smallest value in i, 5, -3? -3 Let s = -244 - -1219/5. Let j = 235/3 + -79. What is the third smallest value in j, s, 3? 3 Let n be (250/20 + -12)*4/(-19). Let m = 8 - 7.9. Which is the smallest value? (a) -2/7 (b) n (c) 1 (d) m a Let b = -571.3 + 544. Let q = b + 29.3. Let u be (-2)/5 + 3/(-5). What is the third biggest value in -2/9, u, q? u Let c = 33.35 - 34. Let z = -0.35 + c. What is the third biggest value in -2, -2/3, z? -2 Let u = -4 + 3.2. Let z = -6.2 + u. Let h = 452 - 1807/4. What is the third biggest value in h, -0.1, z? z Let x = -1349/3 - -450. Which is the third smallest value? (a) 0 (b) x (c) 1 c Suppose 2*h + 2*g + 10 = 0, 10*g = -h + 13*g + 11. What is the second smallest value in h, -36, -4? -4 Let g = 61/132 - 13/44. What is the biggest value in g, 0.2, -1/10, -12? 0.2 Let h = 45.69 - 5.79. Let m = h - 40. Which is the biggest value? (a) 2/23 (b) 2 (c) m b Let r = 67 - 62. What is the third biggest value in -4, 10, r, -3/4? -3/4 Suppose -86 + 94 = 4*b. Let p = 8.2 + -8. What is the third smallest value in b, 0, p? b Suppose 3*m = 4*p + 16, 3*p + 56*m - 52*m = -12. Let g = -0.25 - 0.05. Let n = -0.4 - g. Which is the second biggest value? (a) -4/7 (b) p (c) n a Let t = -71/3 - -24. Let s = 5.497 + -4.997. What is the biggest value in -5, s, t, -20? s Let w = 0.5 + 2.5. Let f = -3.76 - -4.06. What is the second biggest value in -2/7, w, f, -1/4? f Let o = 33808/23 - 1470. What is the second smallest value in o, -1.9, 0.2, 0? o Let d be 2/14 - (995/350 + (-140)/56). Let t = 19 - 28. What is the second biggest value in -3, -0.3, d, t? -0.3 Let f = 2 - 3. Let t = -0.1167 - -0.6167. Which is the smallest value? (a) 2/17 (b) -0.4 (c) t (d) f d Let s = 56 + -51. What is the biggest value in -3, 10, s, -5/3? 10 Let j = -40 + 40. Let s be ((-2)/(-22))/(1/(-3)). Which is the second smallest value? (a) s (b) j (c) 4/9 b Let v = -3.684 + -0.316. Let d be (-4)/(-14) - (-12)/(-14). What is the smallest value in d, 2/5, v, -4/5? v Let y be -12 + (9 - (-594)/187). Which is the biggest value? (a) y (b) 13 (c) 0 b Let u = -14060/11 + 1278. What is the second smallest value in -44, -3/5, u? -3/5 Let x be (-9)/(-2) + -1*(-10)/(-2). Which is the third smallest value? (a) 4 (b) x (c) -0.011 a Let b = -18 + 35/2. Let o = -6.5 - -1.2. Let s = -7.3 - o. What is the second smallest value in 4, b, s? b Suppose -33*q = -14*q + 95. Which is the smallest value? (a) 3 (b) q (c) 0 (d) -7 d Let a = 6.9 + -7.002. Let g = a - -4.102. What is the fourth smallest value in g, 1, 2/5, 3? g Let w = -133 + 133.2. What is the third biggest value in w, -0.5, 4/3, 17/3? w Let d = -6.2 + 6. Let n = -0.06 - d. Let b = n + 4.86. What is the third smallest value in b, -0.1, 2? b Let l = 516/5 + -104. Let y(b) = 5*b**3 + b**2 - 1. Let s be y(1). What is the third smallest value in s, l, 3? s Let u = -94.2 + 94. Let g = -193 - -575/3. Which is the biggest value? (a) 2/7 (b) g (c) u (d) 0 a Let v(q) = q**3 + 54*q**2 + 201*q + 48. Let t be v(-50). What is the biggest value in 60, -0.1, t? 60 Let u be (-3)/5 - (-52)/20. Let d = u - 2. Let g be ((2 - 4)/(-4))/4. What is the second biggest value in d, 2, g? g Let k = 1822 - 1821.6. Which is the smallest value? (a) 132 (b) k (c) 0.3 c Let r = -6 + 5. Let x = 0.5 + r. Suppose -1 = 6*u - 25. What is the third biggest value in -3, u, x? -3 Let n = -132 - -134. What is the third smallest value in 2/5, n, -2? n Let r = -362/15 + 124/5. Let c = 4.7 + -5. What is the biggest value in c, r, 0? r Let w(z) = -z - 1. Let i be w(-6). Let o be (-66)/220*(-4)/6. What is the third smallest value in i, -4, o, -1/9? o Let g = -0.067 - -32.067. Let z = -31.35 + g. Let d = -0.35 - z. What is the smallest value in 3, -5, d? -5 Let d = 4.537 - -0.063. Let w = d + 0.4. Which is the third smallest value? (a) 1 (b) w (c) 0.3 b Suppose -3*k - 6 = u - 4*u, -4*u = -2*k - 6. What is the smallest value in 4, -69, u? -69 Let p = 0 - 0. Let q be -3 - 146/(-39) - ((-131)/(-13) + -10). What is the third smallest value in q, 0.4, -0.04, p? 0.4 Let t = -1259 + 1260.6. Which is the biggest value? (a) 0 (b) t (c) 5 c Let a = -1023 - -1032. What is the third smallest value in a, 3, 5? a Let j = 1.9643 - -0.0357. Which is the third smallest value? (a) -0.2 (b) 0.16 (c) j c Let l(h) = 5*h - 51. Let s be l(10). Let g = 0.055 + -0.055. Which is the fourth smallest value? (a) -0.3 (b) -0.1 (c) g (d) s c Let z = -1 + -16. Let u = z - -15.12. Let k = u + -0.12. Which is the smallest value? (a) 1 (b) k (c) -4 c Let d be (21/28)/(282/16). Let i = 0.18 + -1.18. Which is the third smallest value? (a) i (b) d (c) -2 b Let t = 0.079 + -0.479. Which is the third biggest value? (a) 0.01 (b) -4 (c) t b Suppose -z - 45 = -3*f - 2*z, 0 = -f + z + 11. Suppose -f = 3*u + 4. Let l be 8/6*(-3)/u. Which is the biggest value? (a) l (b) 5 (c) 0.4 b Let a = 633 - 632.8. What is the third biggest value in -18, -1, 1/7, a? -1 Let y = -23.9 + 23.5. Which is the smallest value? (a) -8/3 (b) -8/5 (c) y a Let t = -31/4 + 159/20. Suppose -4*v + 5*i - 31 = 0, 5*i - 35 = 2*v + 3*v. Let x be 3/6*v + 4. Which is the third biggest value? (a) x (b) -1/5 (c) t b Let f = 1099 - 1103. Which is the biggest value? (a) -3/4 (b) f (c) -2/3 (d) 3.3 d Let p = 834.1 + -833. Let d = 1 - 1.5. Let g be (3 + -2)*(-4 + 1). Which is the second biggest value? (a) d (b) p (c) g a Let z be (-5 - 505/(-120)) + (-2)/(-3). Which is the third smallest value? (a) -2/5 (b) 5 (c) z b Let n = 2 + -2.3. Let v(t) be the second derivative of t**4/12 - t**3 - 14*t**2 - 18*t. Let h be v(9). What is the second smallest value in n, 2/7, h? n Let o = 0.13 + -20.13. Let z = -51 - o. Let r = -27 - z. Which is the biggest value? (a) 18 (b) -3 (c) r a Let n = 183 + -188. What is the second smallest value in n, 2, 5, 1/4? 1/4 Let z = 333 + -333.2. Suppose 4*g + f = 2*g + 4, -f - 8 = -2*g. What is the smallest value in z, 2, g? z Suppose -21 = 17*n - 21*n - 5*h, h + 11 = 3*n. What is the third smallest value in n, 6/67, -1/5, 5? n Let j = -27/64 + 3/64. Let r(o) = -o**2 + 5*o + 5. Suppose -5*m - 18 = -48. Let v be r(m). What is the third smallest value in j, v, -0.4? j Let u = 90765 + -17699231/195. Let a = u - -2/15. Let z = -0.2629 + -0.3371. What is the biggest value in z, -0.4, a? a Let i = 12 - 38/3. Let m = 9300 - 9295. Let u = 0.06 - 5.06. Which is the smallest value? (a) i (b) u (c) m b Let i = -393.7 - -394. Which is the smallest value? (a) 4/7 (b) i (c) -4 (d) -0.1 c Let j = 3.1 + -0.1. Let m = 3113/4 - 778. What is the biggest value in m, j, 3/2, -5? j Let w = 81213/7 - 11624. Let f = 150/7 + w. What is the smallest value in 2, -1, f? -1 Let q(u) be the first derivative of -u**4/4 + u**3/3 + 3*u**2/2 - u - 11. Let i be q(2). Suppose -v = 4*v. What is the biggest value in 1/3, i, v? i Let x = -50 - -38. Let g(t) = -t**2 - 2*t. Let n be g(-1). Let w be (-1)/x + n/4. Which is the third smallest value? (a) 0.2 (b) 2 (c) w b Let t be -3 - (128/40 + -7). Which is the biggest value? (a) -94 (b) t (c) 2 c Let p = 73.8 - 74. Let t = -3 + 2.2. Let s = p + t. Which is the third biggest value? (a) -0.4 (b) 1/4 (c) s c Let g = 3.8 -
{ "pile_set_name": "DM Mathematics" }
+ i. Let z be a(s). Is -1 != z? True Suppose 0 = -13*z + 16*z - 48. Suppose -2941 - 1203 = -z*v. Which is bigger: v or 260? 260 Let u(v) = 517*v + 5 - 261*v - 258*v. Let b be u(1). Let t = -17.3 + 16. Which is smaller: t or b? t Let c(s) = 7*s**2 - 70*s - 30. Let b be c(13). Is 238 at least b? False Let i(r) = -2*r**2 + 12*r + 3. Let l(t) = -t + 1. Let h(o) = -i(o) - 5*l(o). Let c be 4*1*56/32. Let d be h(c). Which is bigger: d or 40? d Suppose 3*q + q = 68. Suppose -20 = 4*c, -2*b + q - 3 = -2*c. Suppose 1 = -b*f - 3*s + 46, -4*s = -5*f + 55. Which is smaller: 16 or f? f Suppose 29 = -3*n + 2*k, 0 = 4*n - 0*k + 4*k + 12. Let y(l) = -l**2 + 8*l + 8. Let m be y(8). Let p = m + -17. Which is bigger: p or n? n Suppose -r - 1005 = 20*o - 21*o, -12 = 4*o. Which is smaller: r or -2? r Let u = -242020 + 1216542/5. Let k = u - 1296. Which is bigger: -7 or k? -7 Let d = -195.0482 - 1.9518. Is -0.04 bigger than d? True Let m be (-36)/4 - (0 + 440/(-50)). Is m bigger than 13/21? False Let u(z) = -z**3 + z**2 + 1. Let v be u(0). Let w be (-8)/(-15)*(-752)/(-200) - 2. Are v and w equal? False Let u = -29006 - -29008. Let m be (-3)/(-2) - -1 - 1. Are m and u equal? False Let y be (268/(-6))/(6/18) - 1. Let w be ((y/6)/9)/((-1)/2). Suppose 4*i + 0*i = p + 3, -2*p - 6 = w*i. Is 2 less than i? False Let j = -48 - -66. Suppose -198 = 6*n - j. Let p be (-10)/4 + n/20. Do p and -3 have the same value? False Let l = 2/3727 - 70873/111810. Which is smaller: -1 or l? -1 Let l = 217 + -228. Let g(q) = q**2 - 3*q - 6. Let u be g(l). Does u = 148? True Let b = -62 - -65. Suppose 4*z = 9*z + b*q + 9, 3*q = -9. Suppose -2*g - 17 + 15 = z. Is -4/43 bigger than g? True Let c be (2/15*492)/(16/40). Let i = -304 + c. Which is smaller: i or -279/2? i Let w be (-5)/2*(-4)/(-6). Let i = -578.0295 + 578. Let u = i + -0.1705. Is w at least u? False Suppose -8 = -13*c + 11*c. Suppose -c*t + 64 = 4*t. Suppose t*k - 798 = 27*k. Which is smaller: -40 or k? k Suppose 0*v = 3*v - 27. Suppose 4*z - 25 = v*z. Let x be 4 + 17/z - (-62)/5. Which is smaller: x or 11? 11 Let k = 206 + -137. Suppose 7*h - 10*h - k = 3*j, -2*j - 41 = -3*h. Which is smaller: -27 or j? -27 Suppose 75*w - 468 = 23*w. Let x(b) = 5*b - 34. Let u(l) = -10*l + 67. Let h(s) = 3*u(s) + 7*x(s). Let g be h(w). Which is bigger: g or 12? 12 Let s(r) = -r**2 + 269*r - 1050. Let x be s(4). Let t = -3 - -11. Is x < t? False Let p(a) = 592*a + 3. Let n be p(1). Suppose 26*d + n = 19*d. Is d > -84? False Let g(v) = -v**3 + 2*v - 2. Let q(t) = 3*t**3 + 23*t**2 - 32*t - 92. Let c(a) = 2*g(a) + q(a). Let k be c(-24). Is k < 3/533? True Suppose -81*x + 80*x - p + 10 = 0, -9*x + 27 = 2*p. Let r(q) = 2*q**3 + 3*q**2 - 5*q + 4. Let v be r(3). Let d be -2 - v/(-22) - 1. Which is bigger: d or x? x Let o be 940/(-304) + 3 + (-4)/(-16). Let v(f) = -4*f + 20. Let g be v(5). Let p be 3*(g + (-6)/63). Is p less than or equal to o? True Let c = 1834.482 - 1838. Which is greater: c or 0? 0 Suppose 4*a - 2876 + 40776 = 4*h, 5*a = h - 47383. Is a <= -9479? False Let v = 619 - 29713/48. Let l be ((-342)/72 - -7)*60/135. Which is smaller: l or v? v Let a = 708 - 131689/186. Suppose -5*i = j - 9, 5*i + 2*j - 1 = 3*j. Which is bigger: a or i? i Let i be 235/(-10) - (-833)/(-238). Let o(l) = -l**3 - 5*l**2 + 6*l - 2. Let s be o(-5). Is s < i? True Let w = -216 + 216.226. Let p = -0.106 + w. Is p equal to 1/6? False Suppose 63*p + 52*p = 95*p - 60. Let l = 967/551 - 115/29. Which is smaller: l or p? p Let p = -1564.987 - -1564. Let s = p + 1.0236. Which is smaller: s or 1? s Let a(d) = -2*d**3 + 13*d**2 - 36*d + 167. Let s be a(6). Which is bigger: s or -313? s Let a = 6307 + 1943. Do 1 and a have the same value? False Let d be -2*1/(-2) - 0. Suppose 37 + 39 = 2*v + 3*r, -156 = -5*v + r. Which is smaller: d or v? d Let b be (-6)/36 + 2/(72/26295). Let c = b + -614. Let o = 116 - c. Which is greater: o or -0.14? -0.14 Let u = 0.0211 - -0.0789. Is 720 not equal to u? True Let b be 12/70*4 + 2/(-5). Let y = 2564 + -2515.21. Let a = y + -0.79. Is a bigger than b? True Let m = -17379 - -17385. Let s = 604361/9 + -66984. Let a = 167 - s. Is a less than m? True Let n(v) = -2*v**2 + 79*v + 858. Let x be n(-9). Let k(i) = i**2 + 7*i. Let z be k(-5). Which is greater: z or x? z Let q(n) = n**2 + 21*n + 60. Let t be q(-13). Let g = -3 + 6. Suppose -g*z - 128 = a, 3*a = -3*z - 75 - 51. Is z at least as big as t? True Let o be (-3 - -2 - -24)/1. Let k(q) be the first derivative of q**4/4 - 3*q**3 + q**2/2 + 13*q + 49. Let i be k(9). Which is greater: i or o? o Let c = 198 + -72. Let n be ((-1)/3)/(6 + (-753)/c). Are -101/8 and n nonequal? True Let l be (1 - 1/5)/(34/510*-2). Are l and 40 unequal? True Let p = 5986 + -5988. Which is greater: 889 or p? 889 Let t = 14113 + -14250. Is 13 at most t? False Let w be (-49 - 3) + 3 - 1. Let v be (-2)/(-11) + (-608)/(-44) + -1. Let t = -13 + v. Are w and t equal? False Let v(x) = -x**3 + 10*x**2 - 21*x + 10. Let p be v(7). Suppose 7656 = 19*t + p*t. Is 264 != t? False Let f(u) = -u**3 - 3*u**2 + u + 6. Let d be f(-2). Let m be (d + 1)/(10/670). Let k = 15 + 52. Is k greater than m? False Let z = 3407 + -374773/110. Is -1 smaller than z? True Let o = -10 + 15. Let w = 1 - 2.12. Let x = w - -1.12. Which is smaller: x or o? x Suppose -25*u - 9*u = -13*u - 2478. Which is smaller: u or 823/7? 823/7 Suppose 0 = 8*l - 3*l - 15. Let r(s) = s**3 - 2 - l + 1 - 2*s. Let z be r(3). Which is smaller: z or 18? z Let j(d) = -d**3 - 158*d**2 + 183*d + 696. Let z be j(-159). Is z >= -3120? True Suppose -3*k - 4*p = -12, 8 = 6*k - 4*k + p. Let y be -4 - (k - 2)*-7. Let x be (7/(-5))/(9 - y). Which is smaller: x or 2? x Suppose 0 = -8*q + 13 - 37. Let v be 7*q/(-1638)*-8. Let b(l) = l**3. Let k be b(0). Does v = k? False Let a(f) be the third derivative of -5*f**4/24 + 53*f**3/3 + 16*f**2. Let w be a(21). Do w and 2/463 have the same value? False Let q = -35 - -39. Let i be (-1)/(q/(-6168)*3). Let x = i - 2552/5. Is x > 3? True Let c = -20 + 23. Let h(r) = r**3 - 3*r**2 + 5*r + 12. Let z be h(-5). Let s = -218 - z. Is s smaller than c? True Let h = -1116.3 - -1117.5. Is h greater than or equal to -50/11? True Suppose -j = -5*y + 33, -y + 3*j - 27 = -4*y. Let z(p) = 7*p - 5. Let l be z(y). Does 45 = l? False Suppose 4 = -2*t + w + 5, -2*t + 5*w - 3 = 0. Suppose 5*j + 3097 = 3*l - 2*l, 5*j - 9351 = -3*l. Let r = 647297/208 - l. Is r > t? False Suppose -5*c = -2*m - 83 + 9, 3*c - 38 = -2*m. Let d(p) = 4*p - 36. Let f be d(c). Is f less than or equal to 18? False Let u be ((-1349)/71)/(2/4 - 1). Which is greater: u or 54? 54 Let z = 5.53 + -6.53. Let y = 2.1 - 2.86. Let s = y + -0.04. Which is smaller: z or s? z Let l be (-2)/14 + (-8205)/(-105). Suppose -l + 15 = -21*c. Do -12 and c have different values? True Suppose -3*x = -2*x - 52. Suppose 0 = -83*g + 78*g - 50. Let v be (((-400)/(-15))/g)/((-4)/78). Does x = v? True Let o = 1/11069 + 21777/3995909. Let q = -333/5054 - o. Is 0.04 <= q? False Suppose -41*f + 43*f = -4*n + 3726, -n = -f - 936. Is n at most 932? False Let c = 0.0788 - -36.0212. Let h = c + -36.1. Which is greater: -339 or h? h Let t(c) be the third derivative of c**4/24 + c**3/2 + 17*c**2. Suppose 3 + 12 = -5*j, 2*m - j = -5. Let d be t(m). Is d < 0.5? True Let s(a) = a**3 - 2*a**2 + 9*a - 11. Let v(c) = -c**2 - 20*c + 48. Let h be v(-22). Let u be s(h). Let l = 97 + -41. Are l and u nonequal? True Suppose 2*d = 4*d + 13*d. Which is smaller: d or 1/3094? d Let j be (-38)/(-114) - 42/297*3. Which is smaller: j or -54? -54 Let j(l) = -l**3 - l**2 + l + 52. Let r be j(0). Suppose 5*y = -2*h + 250, 5*y - h = 104 + 131. Suppose -r*b - 232 = -y*b. Is -58 less than or equal to b? True Let q = -10104 - -10260. Which is smaller: q or 2351/15? q Let a(g) = 2*g**2 - 18*g + 40. Let p be a(5). Let r = -7.81 + 4.35. Is r at most as big as p? True Let x = -51068/59241 + 169/196. Which is smaller: -1 or x? -1 Let t(k) = -k**2 - 14*k - 54. Let z be t(-21). Let s = z + 201. Let c = -2/493 - -733/59160. Which is smaller: s or c? s Suppose 4*t - 32 = -28. Let i = 474 - 3301/7. Are i and t nonequal? True Suppose o = 53 - 50. Suppose -h = -3, q + 2*h = -o*q + 10. Is -2/105 at most q? True Suppose -2739 = 6*k + 23*k - 18*k. Is 6/7 smaller than k
{ "pile_set_name": "DM Mathematics" }
between 4:54 AM and 4:36 PM? 702 How many minutes are there between 11:41 AM and 12:31 PM? 50 What is 524 minutes after 1:25 AM? 10:09 AM What is 324 minutes after 8:59 PM? 2:23 AM How many minutes are there between 3:39 AM and 11:22 AM? 463 What is 344 minutes after 10:55 AM? 4:39 PM How many minutes are there between 10:58 AM and 10:38 PM? 700 How many minutes are there between 7:07 PM and 6:47 AM? 700 What is 325 minutes before 1:59 AM? 8:34 PM What is 101 minutes after 10:05 AM? 11:46 AM How many minutes are there between 11:51 AM and 9:48 PM? 597 How many minutes are there between 10:44 PM and 7:43 AM? 539 How many minutes are there between 8:03 PM and 2:42 AM? 399 How many minutes are there between 9:30 AM and 7:13 PM? 583 What is 669 minutes after 3:25 AM? 2:34 PM What is 101 minutes before 12:44 PM? 11:03 AM What is 194 minutes before 6:26 PM? 3:12 PM How many minutes are there between 5:08 AM and 3:32 PM? 624 What is 139 minutes after 3:12 AM? 5:31 AM How many minutes are there between 3:42 AM and 8:34 AM? 292 What is 646 minutes after 11:33 PM? 10:19 AM What is 277 minutes before 4:26 PM? 11:49 AM What is 492 minutes after 3:57 PM? 12:09 AM What is 687 minutes before 5:53 PM? 6:26 AM How many minutes are there between 3:47 AM and 1:39 PM? 592 How many minutes are there between 12:13 PM and 3:09 PM? 176 What is 530 minutes before 6:27 AM? 9:37 PM How many minutes are there between 4:59 PM and 5:40 PM? 41 How many minutes are there between 7:09 PM and 1:59 AM? 410 What is 69 minutes after 6:37 PM? 7:46 PM How many minutes are there between 9:59 PM and 8:30 AM? 631 What is 237 minutes before 12:45 AM? 8:48 PM What is 525 minutes after 9:48 PM? 6:33 AM How many minutes are there between 3:14 PM and 11:02 PM? 468 What is 373 minutes after 2:15 PM? 8:28 PM How many minutes are there between 2:27 AM and 2:52 AM? 25 What is 295 minutes after 7:15 PM? 12:10 AM How many minutes are there between 5:10 PM and 8:33 PM? 203 What is 98 minutes before 5:49 PM? 4:11 PM How many minutes are there between 10:09 AM and 7:07 PM? 538 How many minutes are there between 1:18 PM and 8:56 PM? 458 How many minutes are there between 3:30 AM and 5:45 AM? 135 How many minutes are there between 11:49 PM and 3:47 AM? 238 What is 44 minutes before 1:33 PM? 12:49 PM What is 170 minutes before 4:33 PM? 1:43 PM How many minutes are there between 11:18 AM and 6:56 PM? 458 How many minutes are there between 1:15 PM and 4:39 PM? 204 How many minutes are there between 10:41 AM and 5:53 PM? 432 What is 492 minutes after 6:55 PM? 3:07 AM What is 688 minutes after 8:36 AM? 8:04 PM How many minutes are there between 6:08 PM and 9:45 PM? 217 What is 231 minutes after 12:36 PM? 4:27 PM What is 643 minutes before 1:57 AM? 3:14 PM How many minutes are there between 9:11 AM and 4:50 PM? 459 How many minutes are there between 6:48 PM and 7:02 PM? 14 What is 235 minutes before 8:55 AM? 5:00 AM What is 573 minutes before 5:25 AM? 7:52 PM What is 404 minutes after 9:48 PM? 4:32 AM What is 310 minutes after 8:51 PM? 2:01 AM What is 517 minutes after 5:55 PM? 2:32 AM How many minutes are there between 5:39 AM and 2:29 PM? 530 What is 636 minutes before 6:52 PM? 8:16 AM What is 63 minutes before 1:01 PM? 11:58 AM How many minutes are there between 8:18 PM and 4:55 AM? 517 What is 388 minutes after 1:05 AM? 7:33 AM What is 355 minutes after 3:32 AM? 9:27 AM How many minutes are there between 10:20 PM and 11:14 PM? 54 What is 535 minutes before 11:53 AM? 2:58 AM How many minutes are there between 2:49 PM and 9:31 PM? 402 What is 444 minutes after 9:20 PM? 4:44 AM What is 625 minutes after 4:24 PM? 2:49 AM How many minutes are there between 2:58 AM and 1:55 PM? 657 What is 142 minutes before 2:04 AM? 11:42 PM How many minutes are there between 6:49 PM and 8:06 PM? 77 What is 101 minutes after 5:49 PM? 7:30 PM How many minutes are there between 12:54 AM and 10:36 AM? 582 How many minutes are there between 7:44 AM and 5:03 PM? 559 What is 111 minutes before 7:51 PM? 6:00 PM What is 578 minutes after 12:25 AM? 10:03 AM How many minutes are there between 5:19 PM and 12:00 AM? 401 What is 458 minutes before 4:12 AM? 8:34 PM How many minutes are there between 11:32 AM and 2:07 PM? 155 How many minutes are there between 5:04 PM and 3:32 AM? 628 How many minutes are there between 7:06 PM and 1:40 AM? 394 What is 620 minutes after 6:26 AM? 4:46 PM What is 10 minutes after 12:41 AM? 12:51 AM What is 543 minutes before 3:47 PM? 6:44 AM How many minutes are there between 1:29 AM and 5:12 AM? 223 How many minutes are there between 4:07 AM and 8:50 AM? 283 How many minutes are there between 4:56 PM and 2:12 AM? 556 How many minutes are there between 10:20 AM and 5:02 PM? 402 What is 231 minutes after 8:13 PM? 12:04 AM What is 432 minutes before 2:44 PM? 7:32 AM How many minutes are there between 4:00 PM and 5:44 PM? 104 What is 388 minutes after 9:46 PM? 4:14 AM What is 121 minutes after 8:01 AM? 10:02 AM How many minutes are there between 9:09 PM and 7:43 AM? 634 How many minutes are there between 10:29 AM and 12:26 PM? 117 What is 60 minutes after 10:29 AM? 11:29 AM What is 573 minutes before 11:43 PM? 2:10 PM What is 457 minutes after 3:24 AM? 11:01 AM What is 466 minutes after 2:14 PM? 10:00 PM How many minutes are there between 3:54 PM and 12:38 AM? 524 How many minutes are there between 2:54 AM and 3:57 AM? 63 What is 402 minutes before 4:23 AM? 9:41 PM What is 255 minutes after 9:29 PM? 1:44 AM How many minutes are there between 8:10 AM and 8:59 AM? 49 How many minutes are there between 7:51 PM and 12:05 AM? 254 How many minutes are there between 12:39 AM and 9:34 AM? 535 What is 692 minutes after 3:23 PM? 2:55 AM How many minutes are there between 3:50 PM and 12:42 AM? 532 What is 251 minutes after 4:55 AM? 9:06 AM How many minutes are there between 11:44 AM and 2:29 PM? 165 What is 391 minutes after 1:20 PM? 7:51 PM What is 89 minutes before 6:19 PM? 4:50 PM How many minutes are there between 11:12 PM and 8:18 AM? 546 What is 376 minutes before 4:57 PM? 10:41 AM What is 104 minutes after 4:56 PM? 6:40 PM How many minutes are there between 1:53 PM and 10:01 PM? 488 How many minutes are there between 6:19 AM and 6:01 PM? 702 What is 172 minutes after 11:32 AM? 2:24 PM What is 439 minutes after 11:51 AM? 7:10 PM What is 398 minutes before 5:06 PM? 10:28 AM What is 172 minutes after 12:28 PM? 3:20 PM What is 353 minutes before 12:54 PM? 7:01 AM What is 181 minutes after 8:39 PM? 11:40 PM What is 360 minutes after 7:50 PM? 1:50 AM What is 530 minutes before 6:26 PM? 9:36 AM What is 692 minutes before 11:06 PM? 11:34 AM What is 354 minutes after 12:16 AM? 6:10 AM What is 323 minutes before 8:45 AM? 3:22 AM What is 514 minutes before 6:32 PM? 9:58 AM How many minutes are there between 2:15 AM and 3:44 AM? 89 How many minutes are there between 7:07 PM and 9:13 PM? 126 What is 332 minutes after 8:12 AM? 1:44 PM How many minutes are there between 12:30 PM and 6:43 PM? 373 How many minutes are there between 5:07 AM and 11:18 AM? 371 What is 587 minutes before 7:00 AM? 9:13 PM What is 662 minutes after 6:41 PM? 5:43 AM What is 416 minutes after 3:55 PM? 10:51 PM How many minutes are there between 3:06 AM and 7:03 AM? 237 What is 596 minutes after 4:54 PM? 2:50 AM What is 25 minutes before 2:49 PM? 2:24 PM What is 12 minutes after 6:30 PM? 6:42 PM What is 51 minutes after 2:44 PM? 3:35 PM How many minutes are there between 5:27 PM and 6:26 PM? 59 How many minutes are there between 11:22 AM and 12:16 PM? 54 What is 167 minutes after 5:56 AM? 8:43 AM How many minutes are there between 7:29 AM and 2:32 PM? 423 How many minutes are there between 2:58 PM and 5:27 PM? 149 How many minutes are there between 12:53 AM and 3:59 AM? 186 How many minutes are there between 2:35 PM and 4:18 PM? 103 How many minutes are there between 3:00 PM and 7:34 PM? 274 What is 520 minutes after 4:14 AM? 12:54 PM How many minutes are there between 9:08 PM and 3:22 AM? 374 How many minutes are there between 7:11 PM and 8:13 PM? 62 What is 702 minutes before 10:53 AM? 11:11 PM What is 620 minutes after 6:47 PM? 5:07 AM How many minutes are there between 5:48 AM and 8:59 AM? 191 How many minutes are there between 1:48 AM and 11:06 AM
{ "pile_set_name": "DM Mathematics" }
6)/9? False Let w(p) = -9*p - 8. Let r = -17 - -23. Suppose 0 = -3*t + 4*t + r. Is 23 a factor of w(t)? True Let i(y) = -y**2 + 32*y - 112. Does 31 divide i(12)? False Let n(j) = -j**3 + 10*j**2 + 32*j - 8. Does 15 divide n(11)? False Suppose 15*k = 3617 + 10078. Is 23 a factor of k? False Suppose 5*b = 252 + 148. Does 8 divide (b/(-50))/((-2)/20)? True Let f = -47 - -52. Let k(u) = 5*u**2 - 2*u + 5. Does 30 divide k(f)? True Let m(t) = -3*t. Let x be m(7). Let d be (2 + x/(-6))*-2. Let z = d + 24. Is z even? False Let n be (7 - 11)/((-2)/15). Suppose 17 = -3*s - 1. Does 25 divide n*2 - (s + 3)? False Suppose -5*n = -4*q - 3331, -2*q = -4 + 2. Does 23 divide n? True Let i(t) = 25*t**2 + 16*t + 196. Is 20 a factor of i(-10)? False Suppose 0 = 3*w - 3*g + 4*g - 788, 20 = -5*g. Is w a multiple of 12? True Suppose -2*f - 2*r + 7*r - 26 = 0, 0 = -3*f + 5*r - 29. Let n be (-4)/(f/(-2) - 2). Suppose -60 = -n*q + 5*q. Is q a multiple of 10? True Suppose 3*x - 2750 = -524. Suppose -k = -8*k + x. Is 23 a factor of k? False Let t(o) = o**3 + 12*o**2 - 2*o - 1. Let a be t(-6). Suppose -2*i + a = -n + 30, 0 = i - 2*n - 91. Let y = i + -5. Does 24 divide y? True Suppose 884 = 15*t - 61. Is t a multiple of 4? False Suppose 5*u - 98 = 2. Suppose -g = 5*r - 15 - 1, 0 = -5*g - u. Is 4 a factor of r? True Suppose 18*o = -29*o + 20304. Is o a multiple of 12? True Let x(h) be the second derivative of 5/12*h**4 + 1/20*h**5 - 11/6*h**3 - 5/2*h**2 + 0 + h. Does 10 divide x(-6)? False Let r(a) = -a**2 - 8*a. Let q be r(-7). Let z(f) = 4 - f + 0 + q + 0. Is z(-8) a multiple of 13? False Let b(f) = 3*f**2 + 117*f + 437. Is 16 a factor of b(-50)? False Is 24 a factor of 1/(-17) + (-155078)/(-646)? True Let n(q) = -q**2 + 10*q - 2. Let l be n(3). Suppose 3*y - 5*d - 31 = 0, 2*d = 4*y - l - 13. Is 94/14 - (-2)/y a multiple of 2? False Let d be 300/27 + 4/(-36). Let p(z) = z**3 - 9*z**2 - 20*z + 13. Is 35 a factor of p(d)? True Suppose -5*r - 6 + 22 = -3*p, 3*r = 15. Suppose -i + 30 + 217 = -2*w, -726 = -3*i + p*w. Does 19 divide i? False Let u(m) = -44*m**3 - 2*m**2 - 2*m + 1. Is u(-2) a multiple of 6? False Suppose -2*b + 55 + 278 = -o, 4*b + 2*o - 686 = 0. Let h = -81 + b. Is h a multiple of 8? True Is (-10)/(-2) - (-2)/(-3)*-363 a multiple of 19? True Suppose -7*u + 12*u + 130 = 0. Does 4 divide (273/u)/(6/(-8))? False Let p(o) = 15 + 3*o + o**2 + 15*o + 1 - 5*o. Let f be p(-12). Suppose -5*g + h + 25 = 4*h, -h = f*g - 27. Does 2 divide g? True Let u be 0 - (92 - (1 + 2)). Let o = -29 - u. Is 15 a factor of o? True Let z = 1066 + 844. Does 121 divide z? False Let o = -40 + 42. Suppose o*a - 131 = 69. Is a a multiple of 50? True Let p(r) = 2*r**2 + 5*r - 54. Is 14 a factor of p(12)? True Let q be (-82)/4*(7 - 9). Suppose 0 = -5*k - 3*h + 205, 2*k - q = k + 4*h. Is k a multiple of 12? False Suppose -4*m - 4*p = -220, 3*m - 4*p = -m + 260. Does 15 divide m? True Let z = -27 - -269. Suppose z = 15*b - 133. Is 16 a factor of b? False Does 2 divide (-1)/(-2) + 3726/92? False Suppose -k + 381 = 120. Let n = k + -145. Is 7 a factor of n? False Suppose p - l = l + 31, 4 = -4*l. Suppose 4*x + 9 - p = 0. Suppose -x*y + 2*y + 42 = 0. Does 3 divide y? False Suppose 10893 + 843 = 18*b. Is 53 a factor of b? False Let x = 9 + -4. Suppose -x*q + 3*o = -645, 3*q = -q + 5*o + 503. Does 22 divide q? True Let g(t) = 47*t + 1. Let w be g(-2). Let m = 142 + w. Does 8 divide m? False Let r(n) = -49*n - 11. Let m be r(3). Let z = 268 + m. Does 21 divide z? False Let h be 819/4 + 6/24. Suppose -5*m - 3*n + h = 0, -m - 5 = -3*n - 28. Is m a multiple of 38? True Suppose -29*q = -5456 - 30475. Does 21 divide q? True Suppose 2*o = n - 72, 0 = -7*n + 3*n - 5*o + 236. Does 8 divide n? True Let j be 26/104 - (-2)/16*-2. Suppose -y + 59 - 34 = j. Is 25 a factor of y? True Suppose -3*h = 2*w + 402 - 1475, -1805 = -5*h + 5*w. Does 28 divide h? False Suppose -409 = -4*x - 73. Does 6 divide x? True Let c be (0/10)/(-1*1). Suppose -5*h + 9 = -5*a - 6, c = -2*h - a + 15. Is (-1267)/(-14) - h/(-4) a multiple of 23? True Is 18 a factor of 12/(-10)*(-12 + -3)? True Suppose -k + 5*k - 68 = 0. Let j = -8 + k. Does 3 divide j? True Let d be 10/(-4)*(-54)/45. Suppose -4*j = l - 18, -1 = d*j - 13. Suppose -3*x + l*g + 82 = -0*g, -4 = 2*g. Is 12 a factor of x? False Let p(s) = 6*s**3 - 3*s**2 + 2*s + 7. Let j be p(-3). Let k = 294 + j. Is 31 a factor of k? False Let k(h) = 5*h**2 + 3*h + 4. Suppose 3*f - 12 = -3*f. Suppose 2*j = -f*u + 4*j - 10, -j = -5*u - 13. Is 9 a factor of k(u)? True Let c = 25 - 10. Let u = c - 8. Suppose 4*t = u*d - 2*d - 55, -3*d + t = -33. Does 4 divide d? False Is 20 a factor of (5 - 6) + 166 - 4? False Suppose 99*l - 101*l + 2*k = -5630, -4*l + 11242 = 5*k. Is 97 a factor of l? True Suppose -3*f + 2*c = 14, -3*c + c = 3*f - 2. Let x be (-86)/(-14) + f/14. Is (-144)/(-15) + x/15 a multiple of 4? False Let b(v) = -2*v + 3*v**2 - 35 + 11 + 10 + 8. Is 6 a factor of b(-3)? False Suppose 0 = 4*o + 4*p - 375 - 5, 0 = 4*o + 3*p - 377. Let m be (-2)/9 - (-29)/9. Suppose -4*l + o = -m*r, 69 = 3*l - 2*r + 3*r. Does 9 divide l? False Let l(p) = 6 + 0*p - 9 - 8*p - 7. Let h be l(-4). Suppose -3*m + 161 = -h. Is 14 a factor of m? False Let q be (6 - 0)*(4/3)/1. Suppose 2*l = q*l - 84. Is l even? True Let y(w) = 1 - 2 + 19*w**2 - 16*w**2. Let j be y(1). Suppose -4*f + j*f + 12 = 0. Does 2 divide f? True Let c = -1 - -5. Suppose 4*b = -c*b + 864. Is 21 a factor of b? False Let i(u) = -722*u + 5. Is 69 a factor of i(-2)? True Let n(b) = 126*b + 38. Is n(7) a multiple of 3? False Suppose -217 = 2*n - 3*q - 706, -3*n = -5*q - 735. Suppose -6*d = -d + n. Let y = d + 67. Does 16 divide y? False Is (11/(-44))/(1/(-1876)) a multiple of 67? True Suppose -3*k + 75 = -8*k. Let c = -7 - k. Suppose f - 30 + c = 0. Is f a multiple of 11? True Let t(s) = 17*s**2 - 36*s - 20. Does 46 divide t(-8)? False Suppose -2*o + 74 = 3*a + 23, 78 = 4*o - 2*a. Let y be 17/7 + (-9)/o. Suppose -g = -2*i + y*g + 33, -57 = -3*i + 2*g. Does 7 divide i? True Let v(t) = 34*t + 272. Is 10 a factor of v(17)? True Suppose 0 = -3*z - 8 - 67. Let j(r) = -14*r. Let i be j(-3). Let x = z + i. Is 17 a factor of x? True Let o = 6 + -3. Suppose 0*y - y = -o. Suppose -17 = -y*t + 31. Is t a multiple of 8? True Let b(r) = r**3 - 6*r**2 - 9*r + 16. Let z be b(7). Suppose -5*m - 6*n + 988 = -2*n, -z*n = 6. Is 20 a factor of m? True Let m(l) = l**2 + 3*l. Let h be m(-15). Let c(s) = -s. Let a be c(-4). Suppose -k + h = a*k. Does 23 divide k? False Let v(w) = w**2 + 6*w + 2. Let u be v(-6). Suppose 14 = 3*j - 4*i, -j - i = -u*i - 4. Suppose -q + 4*s + 116 = 0, -q - j*q = s - 283. Is q a multiple of 32? True Suppose i = -2*i + 2139. Is 23 a factor of i? True Let x = -19 - -22. Is 18 a factor of 51 + x - 0/2? True Let u(a) = 2*a**2 + 5*a + 14. Let c be u(7). Let r = -36 + c. Is r a multiple of 20? False Let i = 641 - 482. Is i a multiple of 10? False Let q(a) = a**3 - 11*a**2 - a + 16. Suppose 55 = -16*v + 21*v. Does 2 divide q(v)? False Let n be 3 + 1/(-2)*-6. Let d = 5 - n. Is 16 a factor of ((-15)/(-21) - d)*56? True Suppose 107*x = 93*x + 4662. Does 111 divide x? True Let u = -203 - -328. Is 10 a factor of u? False Let x(p) = 84*p - 1. Let n be x(3). Let z = n + -155. Suppose a = 3*w - 65 + 8, 5*w - z = 2*a. Is w a multiple of 6? True Suppose 4*p - 5*s = 214, 0 = p + 2*s - 36 - 24. Is p a multiple of 14? True Suppose -4*d + 8*d = 0, -2*r + 14 = 3*d. Suppose -r*o = -76 - 246. Suppose -o = -2*q + 5*l, 3*q + 5*l - 142 + 23 = 0. Does 11 divide q? True Let o = -2 - -535. Does 41 divide o? True Suppose -2*f - 2*n + 244 = -0*f, 0 = 3*f - 5*n - 350. Suppose -2*a + 20 = -2*w + 152, -2*w - 4*a = -f. Does 32 divide w? True Let p = -4 + 8. Suppose -5*u + 3*i = -140, p*u - 23 = i + 89. Does 7 divide u? True Suppose 4*o - 792 = -108. Suppose 3*f + 9 = 0, 2*f = -3*z + 7*f + o. Suppose z - 8 = u. Does 11 divide u? True Suppose -3*t - 8 = -5*m - 0*m, -3*m = -2*t - 4. Does 12 divide m + -2 + 136/4? True Let c(t) = 3*t - 1. Let v be c(1). Suppose -7 = v*z - 43. Is z a multiple of 7? False Let r be 62/5*30/12. Let f = 29 + r. Does 15 divide f? True Does 38 divide (-4152)/(-10)*(-190)/(-76)? False Suppose -1373 = -14*c + 13*c - 4*a, -2*a + 2734 = 2*c. Does 39 divide c?
{ "pile_set_name": "DM Mathematics" }
-11*n(o) + 4*x(o). Determine q(19). 5 Let p(d) = d + 2. Let z(b) = -13*b**2 - 2*b - 6. Let l(k) = -37*k**2 - 5*k - 16. Let j(a) = 3*l(a) - 8*z(a). Let x be j(-1). Give p(x). -6 Let x = 5250 - 5233. Let v(m) be the third derivative of 0*m + 0 + 0*m**3 + x*m**2 + 1/24*m**4. Give v(4). 4 Let y be (44/(-8))/(2/(-8)). Let i(o) = -3*o - 15. Let z be i(-7). Let c(g) = 17*g + y*g - z - 37*g. Calculate c(6). 6 Let t be (-6)/(-9)*(-4 + 10 + -3). Let h(c) be the first derivative of 1/2*c**4 + 0*c + 4/3*c**3 + 2 + 3/2*c**t. Give h(-2). -6 Let s(i) be the first derivative of -3*i**5/40 + 17*i**3/3 + 26. Let m(a) be the third derivative of s(a). Let t = 6 + -5. Determine m(t). -9 Let o(h) = -5*h + 21. Let b be o(3). Let j be (2 - b)/(-1*2). Let d(m) = -2*m**3 + 5*m**3 + 1 + 5*m - 2*m**2 - 2*m**3 - 8*m. Determine d(j). -5 Let b(l) be the second derivative of l**3/2 + l**2 - 2*l. Let k be 7/(42/(-354)) - -2. Let f = -60 - k. Give b(f). -7 Let c be -18*230/(-207) + 12/(-2). Let z(d) = d**2 - 16*d + 11. Give z(c). -17 Let d(a) = -a - 1. Let l(w) = 5*w**2 + 4*w + 5. Let h(f) = -5*d(f) - l(f). Let r = 113 - 55. Let g = 57 - r. What is h(g)? -6 Let y(t) be the third derivative of 0*t - 1/24*t**4 + 0 + 7/6*t**3 - 9*t**2. Give y(-10). 17 Let l(z) = 3 + z**2 - 6*z + 6*z + 6*z + 7*z. Let g(h) = -h**2 - 21*h + 32. Let f be g(-21). Suppose -4*i - 20 = f. Give l(i). 3 Let q(l) = -l**3 + 19*l**2 + 42*l - 3. Suppose 142*j + 251 = 3233. Give q(j). -3 Let q(u) be the first derivative of -13/2*u**2 - u + 113. Give q(-1). 12 Let o(b) = 44475*b - 44486*b - 16 - 21 - 50. Give o(-8). 1 Let h be (-17)/((-170)/1050)*(-258)/(-15). Let c(k) = -901 + 9*k + h - 903. Calculate c(-1). -7 Suppose -5*p + 0*f + 3*f - 37 = 0, -3*f = p - 7. Let m(b) = -2*b**2 - 46*b + 10. Let w(j) = -j**2 - 26*j + 5. Let o(s) = 4*m(s) - 7*w(s). Determine o(p). -10 Let r(c) = c**2 - 4*c + 7. Let v be r(3). Suppose v*y + l = -159, 3*y + 84 = 3*l - 54. Let t = 36 + y. Let k(n) = -n**2 - 2*n + 1. Give k(t). -14 Let q(o) be the second derivative of o**7/2520 - o**6/80 - o**5/15 + 83*o**4/12 + 23*o. Let n(v) be the third derivative of q(v). Calculate n(7). -22 Let r be (-98)/(-8) + 270/360. Let a(i) = 3 + 3 + 0 + 12*i - i**2 + 0. What is a(r)? -7 Let g = -592 - -594. Let u be (-1)/(-2) + 15/6. Let h(d) = u - 5 + 1 - d**3 + 3*d. What is h(g)? -3 Let b = 8 - 3. Let n(r) = 40*r + 76. Let o(u) = -9*u - 17. Let i(k) = -2*n(k) - 9*o(k). Calculate i(b). 6 Let o be (4/(-20) - 0)/((-3)/30). Let m(b) = b**3 - 2*b**2 + 7*b - 8. Give m(o). 6 Let y(a) = 4*a**3 + 2*a**2 - 6*a + 15. Let t(m) = -17*m**3 - 8*m**2 + 25*m - 62. Let r(o) = -3*t(o) - 13*y(o). Give r(-4). 11 Let g(y) = -8*y**3 + 14*y**2 - 6*y + 22. Let j(o) = -o**3 + 2*o**2 - o + 3. Let a(h) = 2*g(h) - 15*j(h). Determine a(1). -1 Let o be (-31)/310 + 21/10. Let p(n) = n**2 - 2. Calculate p(o). 2 Let v be ((-2)/(-3))/(2/6). Let o(q) = -v*q**2 - 4 - 7*q + 2 + 3 - 3*q. Let y be ((-11)/(990/105))/((-2)/(-12)). Determine o(y). -27 Let k(q) = 8*q**3 + q**2 + 1. Suppose 6 = -4*v + h, -3*v + 39*h - 40*h = 1. Determine k(v). -6 Let f(o) = -o**2 - 9*o - 9. Suppose -4*b - 3 = 17. Let r(p) = -p**2 - 11*p - 11. Let v(q) = b*r(q) + 6*f(q). Let d be 4*((-14)/(-8) - 1). What is v(d)? -5 Let q(m) = -m**2 - 12*m - 6. Let o be 4/(-4) - (-1 - (2 - 7)). Let u be 9/(o/15*3). What is q(u)? 21 Let j(t) = -14*t**3 + t**2 + 6*t - 4. Suppose -2*n = 2*v - 20, 0 = -990*n + 995*n - 45. Give j(v). -11 Let t be 9/54*138/(-4) - 26/104. Let u(f) = 8*f + 6. Let h(p) = -7*p - 6. Let r(s) = -5*h(s) - 4*u(s). Determine r(t). -12 Suppose -3*x = 5*l - 4 + 31, 2*l - x + 13 = 0. Let b(t) be the second derivative of 0 - 7/12*t**4 - 11*t + 3/2*t**2 - 1/20*t**5 - t**3. Give b(l). 3 Let z(w) = 0 + 2*w - 6*w - 8*w**2 + 2*w**3 - 2 - 6*w + 4*w**3. What is z(-1)? -6 Let v(j) = 2*j**2 - 4*j + 4. Suppose 36 = 67*h - 31. Determine v(h). 2 Suppose -88*v + 85*v + 219 = -d, -207 = -3*v - 3*d. Let z be (v/60)/((-18)/45). Let k(q) = 2*q + 4 - q**2 + 5*q**2 + q**3 + 0*q**3. Give k(z). 7 Let r(g) = -26*g - 1. Let p(l) = -l**2 + 133*l + 8. Let n(s) = -p(s) - 5*r(s). Suppose -h - 2*h + 9 = 0. Give n(h). -3 Let x be 1/(-3) + -16*6/(-18). Let p(g) = -16 - 5*g**3 - 2*g + 15 + 4*g**3 + x*g. What is p(2)? -3 Let t(g) be the second derivative of -2/3*g**3 - 1/10*g**5 + 1/3*g**4 + 3/2*g**2 + 8*g + 5. What is t(2)? -5 Let t(m) = 3*m + 20. Suppose -834*i + 853*i = -209. Determine t(i). -13 Let g(t) be the first derivative of t**4/4 + 2*t - 3. Let m = -512 + 514. Suppose 3 = m*u + 3. Calculate g(u). 2 Let z(l) = 3*l**3 + 2*l**2 - 1. Suppose -x = -30*a + 26*a + 7, -5*a = 2*x + 1. Suppose 5*v - 8 = 2*n + 10, 5*n - v - a = 0. Calculate z(n). 4 Let g(c) = -7*c - 20. Suppose 3*u + 23 = -2*h, -1185*u + 27 = -3*h - 1182*u. Determine g(h). 50 Let d(q) be the first derivative of -5*q + 4/3*q**3 + 0*q**2 + 1/4*q**4 - 40. Calculate d(-4). -5 Let i(u) = -2*u**3 - u**2 + 2*u - 1. Let c(x) = 3*x**2 - 5*x - 12. Let h be c(-7). Suppose -h*a - 6 = -167*a. Give i(a). 7 Let f(h) = 5*h + 2. Suppose 0 = 4*x - 6*y + y - 41, 4*x - 4*y = 36. Suppose 14*a = 18*a + x. Determine f(a). -3 Let z(d) be the second derivative of -d**4/12 - 69*d**2/2 - 71*d. Let p(y) be the first derivative of z(y). Determine p(7). -14 Let o(m) = -m + 1. Suppose 0 = 5*l - 79 - 31. Let f = 12 - l. Let s be (-54)/f + (-32)/80. Determine o(s). -4 Let f(l) = -15*l + 3. Let h be (100/75)/((-6)/(-9)). What is f(h)? -27 Let u(r) = -r**2 - 7*r - 9. Let h(f) = f**2 + 8*f + 9. Let z(a) = -5*h(a) - 6*u(a). Let w(y) = y**2 + 2*y + 7. Let c(m) = 4*w(m) - 3*z(m). Determine c(2). 9 Let s(d) = -90 - 225*d - 16 - 261*d - d**2 + 454*d. Give s(-28). 6 Suppose -123 = 5*j - 4*f, -18*j + 21*j + 63 = -3*f. Let t(x) = 3*x + 66. Calculate t(j). -3 Suppose -44*w = -8 - 80. Let h(x) be the second derivative of 2*x**w + 0 + 1/6*x**3 - x. Calculate h(-2). 2 Let j(a) be the second derivative of 6*a**5/5 - a**3/6 + a**2 + 3*a - 227. Determine j(1). 25 Let y(x) = 3 + 32 - 9*x**2 + 23*x**2 - 15*x**2 - 6*x - 4. Give y(-9). 4 Let q(s) = 2*s**2 - s - 1. Let j be 0 - 3 - (11 - 16). Let o be (4 + j)/2 + 33/(-11). Let c be ((-20)/30)/((-4)/18) - o. Determine q(c). 14 Let g(u) be the second derivative of -u**5/30 + u**4/12 + 31*u**3/2 - 7*u + 7. Let x(b) be the second derivative of g(b). Determine x(8). -30 Let l(w) = -2*w**2 - 37*w + 52. Suppose 262*c - 140 = 269*c. Calculate l(c). -8 Let r(t) be the second derivative of -t**5/20 - 5*t**4/6 - 2*t**3 - 11*t**2/2 + 1110*t. Let j(y) = y**3 - y**2 - 9. Let o be j(0). Calculate r(o). 16 Let d(f) = -61 - 2*f + 4*f + 75. Let v be d(-7). Let m(x) = 14 + 14 + v*x - 23 + x**2 - 6*x. What is m(7)? 12 Let h(v) = v**2 - 10*v + 1. Let o = 4087 - 4076. Calculate h(o). 12 Let h(o) = -o**3 - 13*o**2 + 13*o - 12. Suppose -2*j - 44 = 9*j. Let f = j + -10. Give h(f). 2 Let u be -3 - (-6 + 2) - -4. Let b(n) = -4*n**2 - 6. Let f(j) = -j**2 + j - 1. Let q(r) = -b(r) + 5*f(r). Determine q(u). 1 Let d(m) = 4 + 0 - 6 - 7 + m. Let w = 85 - 82. What is d(w)? -6 Let f(h) = 8*h + 41*h - h**3 - 59*h + 12*h**2 + 0*h**3 - 10 + 9*h. Determine f(12). -22 Let h = -45 + 37. Let r(p) be the third derivative of p**6/360 + p**5/20 - p**4/4 - 71*p**3/6 - 15*p**2. Let k(i) be the first derivative of r(i). Give k(h). 10 Let q(v) = 46 - 7*v + 49 + 17 - 1. Give q(16). -1 Let d(x) be the third derivative of x**7/5040 + 7*x**6/720 - x**5/60 - 7*x**4/6 + 20*x**2. Let w(p) be the third derivative of d(p). What is w(8)? 15 Let s(o) be the third derivative of o**5/12 - o**4/24 - 5*o**3/6 - 36*o**2 - 2. Let y(b) = -5*b**2 + 4. Let m(p) = -4*s(p) - 5*y(p). What is m(-3)? 33 Let p(n) be the first derivative of -5 + 5*n - 5/2*n**2 + 1/3*n**3. What is p(4)? 1 Let s(h) = -2*h. Let m(d) = -3*d + 22. Let j(o) = 2*o - 29. Let g be j(15). Let a(p) = p. Let k(x) = g*m(x) + 5*a(x). Let l be k(-10). Determine s(l). -4 Suppose -5*h - 286 = 8*h. Let f(y) = y**3 + 21*y**2 - 23*y - 32. Determine f(h). -10 Let q be 10/(-5)*-1 + 1 - 4. Let v be (-1 - -3 - q)/((-24)/(-16)). Let r(s) = -6*s**2 + 2*s + 2. Calculate r(v). -18 Let k(r) = 565900*r + r**2 - 3*r**3 + 22 + 2*r**3 - 565899*r. Calculate k(0). 22 Let t(k) = -2*k**2 - 36*k - 35. Let i(y) = -231*y + 4606. Let s be i(20). Determine t(s). 77 Suppose 12 = 3*g + k + 2*k, 14 = 2*g + 4*k. Let
{ "pile_set_name": "DM Mathematics" }
t 0.3, -3, 2, -358/3 in increasing order. -358/3, -3, 0.3, 2 Sort 0.2, 5/2, -1/63, -0.4. -0.4, -1/63, 0.2, 5/2 Put 4/5, 1025, 1 in increasing order. 4/5, 1, 1025 Sort -3, 4, 7 in descending order. 7, 4, -3 Sort 3, 2, 6/13, 0.5 in ascending order. 6/13, 0.5, 2, 3 Sort -172, 4, 2. -172, 2, 4 Sort -6, 2, 3 in descending order. 3, 2, -6 Put 115, -4/3, 1 in descending order. 115, 1, -4/3 Put -1, -62, -85 in decreasing order. -1, -62, -85 Sort -150, 5, 6. -150, 5, 6 Sort -1, -8, -12, -2. -12, -8, -2, -1 Put 0.2, 0.01, -1, 15 in decreasing order. 15, 0.2, 0.01, -1 Put 0.4, -0.005, 0.1 in increasing order. -0.005, 0.1, 0.4 Put -4, 0, 3, 4, 5 in ascending order. -4, 0, 3, 4, 5 Sort 2, 3, 0, -121, -11 in increasing order. -121, -11, 0, 2, 3 Put 2, 2/3, 57, -0.03 in decreasing order. 57, 2, 2/3, -0.03 Sort 0.3, -138, 3/4, -21 in descending order. 3/4, 0.3, -21, -138 Sort -5, 4, 3, -1 in ascending order. -5, -1, 3, 4 Sort -5, -2, -4, 4. -5, -4, -2, 4 Sort 2/5, -1/18, 4, 1 in decreasing order. 4, 1, 2/5, -1/18 Put -4, 2, 1, 3 in descending order. 3, 2, 1, -4 Put 0.2, 10, -0.034 in increasing order. -0.034, 0.2, 10 Sort 0, 5, -201/2, 4/5 in increasing order. -201/2, 0, 4/5, 5 Sort -41, 1, 19. -41, 1, 19 Put 3, -3, 230, 2 in ascending order. -3, 2, 3, 230 Sort 2, -4, -5, 0.13 in decreasing order. 2, 0.13, -4, -5 Sort 68, 0, -4 in ascending order. -4, 0, 68 Sort -0.0228, 0.2, 2 in increasing order. -0.0228, 0.2, 2 Sort 2.1, -5, -1/3 in ascending order. -5, -1/3, 2.1 Put -22, 1, -7 in increasing order. -22, -7, 1 Sort 5, -5, 1, 9 in ascending order. -5, 1, 5, 9 Put 0.04, -2, 3/4, 2/7, 2/3 in increasing order. -2, 0.04, 2/7, 2/3, 3/4 Put 3, 2/5, -132 in decreasing order. 3, 2/5, -132 Sort 6, 1, 41 in descending order. 41, 6, 1 Sort 0, 2, -134 in decreasing order. 2, 0, -134 Sort -0.4, 5/2, 4/5, 28, -4. -4, -0.4, 4/5, 5/2, 28 Sort 3/7, 0.101, -5 in descending order. 3/7, 0.101, -5 Put 5, 3, 7.09, -1/4, -1 in decreasing order. 7.09, 5, 3, -1/4, -1 Put 4, 2, 3, -8 in descending order. 4, 3, 2, -8 Put 494, 1/3, -0.2, 2/9 in increasing order. -0.2, 2/9, 1/3, 494 Put -22, 1, -2, 5, -4 in increasing order. -22, -4, -2, 1, 5 Put 3, 324, -3, 1 in descending order. 324, 3, 1, -3 Sort 0, 4, -654 in decreasing order. 4, 0, -654 Sort -56, -0.05, 0.3, 1.3 in descending order. 1.3, 0.3, -0.05, -56 Sort 1, -115, -1 in decreasing order. 1, -1, -115 Sort 0, 4, -2, 4/7, -2/3 in increasing order. -2, -2/3, 0, 4/7, 4 Sort 5, 137, -2, -4. -4, -2, 5, 137 Sort 1/6, -5/4, 6, -1. -5/4, -1, 1/6, 6 Sort 0.3, 0.4, 19, 2/17. 2/17, 0.3, 0.4, 19 Sort 9, 1, -3, 0, 5. -3, 0, 1, 5, 9 Sort 0.4, -356/29, -1 in increasing order. -356/29, -1, 0.4 Put 0, 4, 10262 in ascending order. 0, 4, 10262 Sort -212, -2, 4 in descending order. 4, -2, -212 Sort 2, 133, 4, 0 in descending order. 133, 4, 2, 0 Sort 5, -3/2, 0.37, -2/7, 3 in increasing order. -3/2, -2/7, 0.37, 3, 5 Sort -3, 39, -4 in ascending order. -4, -3, 39 Sort -2, -7, 0.079 in increasing order. -7, -2, 0.079 Sort 1, 5, -16/91 in ascending order. -16/91, 1, 5 Put 4, -2, -3, 66 in increasing order. -3, -2, 4, 66 Sort 1, -184, -1 in increasing order. -184, -1, 1 Put 5, -1/4, 0.5, 6 in decreasing order. 6, 5, 0.5, -1/4 Sort 1, -5, -3 in ascending order. -5, -3, 1 Sort 3, 4, 0, -5, 9. -5, 0, 3, 4, 9 Put -5, 12, 10, 7 in increasing order. -5, 7, 10, 12 Sort -5, 24, 2 in descending order. 24, 2, -5 Sort 28, -3.7, 2 in descending order. 28, 2, -3.7 Sort -1/5, -2, 8. -2, -1/5, 8 Put 3, 2, 49 in ascending order. 2, 3, 49 Sort 1, 0.4, 0.56, -1/2, -5 in ascending order. -5, -1/2, 0.4, 0.56, 1 Put 1, -67, 4, -2 in decreasing order. 4, 1, -2, -67 Put 0, -2, -9, -13 in descending order. 0, -2, -9, -13 Put 1, 4, 1/84 in increasing order. 1/84, 1, 4 Put -17, -7/6, 2 in increasing order. -17, -7/6, 2 Sort -4, 1, 31, -3. -4, -3, 1, 31 Put 0, -2, 0.02, -0.2 in decreasing order. 0.02, 0, -0.2, -2 Sort 2, 6, 1787 in ascending order. 2, 6, 1787 Put 3, 0, -2/3, 158/7 in decreasing order. 158/7, 3, 0, -2/3 Put 0, -21, 6 in descending order. 6, 0, -21 Put 99, 3, -4 in decreasing order. 99, 3, -4 Put 3, 0, -12, 6 in decreasing order. 6, 3, 0, -12 Put -1, 12, 1, -7, -17 in increasing order. -17, -7, -1, 1, 12 Sort -0.4, -5, -1/7, -32 in decreasing order. -1/7, -0.4, -5, -32 Sort 0, -6, 4, 9, 2 in ascending order. -6, 0, 2, 4, 9 Put -4, -21, 3, -6 in increasing order. -21, -6, -4, 3 Put -1441, 3, 0 in ascending order. -1441, 0, 3 Sort -1/4, -2/9, 18 in decreasing order. 18, -2/9, -1/4 Sort -5, -3/7, -0.1, -10/3, -4 in descending order. -0.1, -3/7, -10/3, -4, -5 Sort -2, -0.027, 10/3 in increasing order. -2, -0.027, 10/3 Sort 32, -1, 5, 0.5 in increasing order. -1, 0.5, 5, 32 Sort -4, 1, 69 in decreasing order. 69, 1, -4 Put 3, 0, -2948 in increasing order. -2948, 0, 3 Sort -5, 5, 0.2, 0, -33 in decreasing order. 5, 0.2, 0, -5, -33 Sort -15, 1, 2. -15, 1, 2 Put 0.31, -0.4, -3/7, 2/3 in decreasing order. 2/3, 0.31, -0.4, -3/7 Sort -28, 12, -2/13. -28, -2/13, 12 Sort 3, 2/9, 4, 0.9. 2/9, 0.9, 3, 4 Put -4, 3, -10, 14, 5 in decreasing order. 14, 5, 3, -4, -10 Put 2, -4, -3, 3 in descending order. 3, 2, -3, -4 Put 0.03, 2/9, 3, -3/4 in decreasing order. 3, 2/9, 0.03, -3/4 Put 4, -2, 20 in ascending order. -2, 4, 20 Put -21, -3, 3, -1 in descending order. 3, -1, -3, -21 Sort -22, -3, 20 in increasing order. -22, -3, 20 Put 5, 17, -7, 3 in descending order. 17, 5, 3, -7 Sort -4, -1, -24 in descending order. -1, -4, -24 Sort 78, 14, 5, 0 in decreasing order. 78, 14, 5, 0 Sort -2/7, -0.05, -2/725, -3 in decreasing order. -2/725, -0.05, -2/7, -3 Put 3/2, 0.3, 1/3 in decreasing order. 3/2, 1/3, 0.3 Sort 5/4, -8, 5 in decreasing order. 5, 5/4, -8 Sort 15, 2/5, 3/11, 10 in decreasing order. 15, 10, 2/5, 3/11 Sort -3, 2, 85, 0 in ascending order. -3, 0, 2, 85 Put 5, 4, 3, 138 in decreasing order. 138, 5, 4, 3 Sort -1/8, 4, -4, -3/4, 0.4 in ascending order. -4, -3/4, -1/8, 0.4, 4 Sort -6/17, -2, -20, 0.3, -1 in decreasing order. 0.3, -6/17, -1, -2, -20 Sort 24, 2, -5, 5 in descending order. 24, 5, 2, -5 Sort 3, 0.5, -10/109. -10/109, 0.5, 3 Sort 4, 1167, -2. -2, 4, 1167 Put 4/5, -2/247, -2/5, -2/3 in decreasing order. 4/5, -2/247, -2/5, -2/3 Put -2, -11/3, 4, -7 in descending order. 4, -2, -11/3, -7 Put 2872, -5, 1, 1/2 in descending order. 2872, 1, 1/2, -5 Put 3, -4, -0.15, -0.3 in descending order. 3, -0.15, -0.3, -4 Put -1, 0, -5, 3 in decreasing order. 3, 0, -1, -5 Put -8, -2, -0.01 in descending order. -0.01, -2, -8 Put -0.2, -1, 0 in decreasing order. 0, -0.2, -1 Put 2/817, 0, 0.18 in decreasing order. 0.18, 2/817, 0 Put -2/5, -65, 0.1, -5, 1 in increasing order. -65, -5, -2/5, 0.1, 1 Put 4, 103, 2, 5 in ascending order. 2, 4, 5, 103 Put -0.5, -3, -609/4 in ascending order. -609/4, -3, -0.5 Sort -0.1, 9713, 5. -0.1, 5, 9713 Sort 3, 23, -4. -4, 3, 23 Sort -4, -0.5, 1.2, -12, -2 in increasing order. -12, -4, -2, -0.5, 1.2 Put 0.4, 7/11, -1/3, 3 in ascending order. -1/3, 0.4, 7/11, 3 Put -2/7, -6.198, -3 in ascending order. -6.198, -3, -2/7 Sort 4, 40, 3 in descending order. 40, 4, 3 Sort 49, -0.1, -5, -0.4 in increasing order. -5, -0.4, -0.1, 49 Sort -16, 1/3, -0.1, 1, 4 in descending order. 4, 1, 1/3, -0.1, -16 Sort 3, 1, -2/37, -1 in ascending order. -1, -2/37, 1, 3 Sort 34, -60, -5 in descending order. 34, -5, -60 Put 0, -11, -28 in decreasing order. 0, -11, -28 Sort 19, 2, -2, 1 in decreasing order. 19, 2, 1, -2 Sort 5, -22, 3, 22 in increasing order. -22, 3, 5, 22 Sort -2, 6, -1, -34, -3. -34, -3, -2, -1, 6 Sort -0.1, -1, -2, -1/3 in ascending order. -2, -1, -1/3, -0.1 Put 2, -79, 5, 3 in increasing order. -79, 2, 3, 5 Put -247, -0.4, -2/17 in increasing order. -247, -0.4, -2/17 Sort -6, -10, 2 in increasing order. -10, -6, 2 Sort -2, -0.08, -0.06, 0.3. -2, -0.08, -0.06, 0.3 Sort -2, 3, -16 in decreasing order. 3, -2, -16 Put -5, -4, 32 in ascending order. -5, -4, 32 Sort 4/35, 1/5, 2, 2/11, 5. 4/35, 2/11, 1/5, 2, 5 Sort -0.07, -5, -0.3, 3 in ascending order. -5, -0.3, -0.07, 3 Sort -0.1, -2/7, -55, -3/7 in descending order. -0.1, -2/7, -3/7, -55 Sort -8.788, -1/3, -0.1 in increasing order. -8.788, -1/3, -0.1 Sort -0.1, -30/13, 2, 0.4 in increasing order. -30/13, -0.1, 0.4, 2 Put 0, 327, -5, -4 in descending order. 327, 0, -4, -5 Put -2/15, 1, 4, -7 in descending order. 4, 1
{ "pile_set_name": "DM Mathematics" }
-h*z + 12*z = 10. Solve 8 = 4*j - z*j for j. 4 Let m be (-266)/(-63) + 4/(-18). Suppose -10 = -m*j + 6. Suppose -d - 5*p - 16 = -2, -d = -2*p - 14. Solve -5*o + d = -j for o. 2 Let b = 89 + -22. Solve -b + 87 = -5*h for h. -4 Let c = -34 - -35. Suppose 5*z + 2*f - 25 + 9 = 0, 5*z - 3*f = c. Solve 0 = -6*w + z*w for w. 0 Let n(x) = -2*x**2 + 7*x + 2. Let h be n(2). Solve -h = -u - 7*u for u. 1 Let u(a) = a + 8*a**2 - 6*a**2 - 6*a**2 - 2. Let i be u(2). Let k be ((-24)/i)/((-6)/(-16)). Solve m = -k*m - 10 for m. -2 Let r be (0/(-1))/((-2 + -2)/(-4)). Solve -t = -0*t - r*t for t. 0 Suppose 7*r + 3*r = 0. Solve r = 8*s - 10*s for s. 0 Let y = -139 - -139. Solve y*j = j for j. 0 Let s(y) = y**3 + 10*y**2 - 11*y + 4. Let o be s(-11). Suppose t = 5*v + 3*t - 38, o*v = 2*t + 16. Solve -4*q + v = -q for q. 2 Let u(k) be the third derivative of -k**4/8 + 2*k**3/3 + 32*k**2. Let x be u(0). Solve -x = -t - 0*t for t. 4 Let u be (-1 - -6)*(18/(-10))/3. Let y be u/(((-3)/(-10))/(1/(-2))). Suppose 3*t = 4*b - 1, 5*t + 5*b = 12 + 33. Solve -5 = -t*c + y for c. 2 Suppose 38*i - 52*i + 168 = 0. Solve -3*p + i = p for p. 3 Suppose 22 + 20 = 3*b. Let c = b - 9. Solve 0 = -2*k + 3 - c for k. -1 Suppose 0 = -5*c - 4*x + 21, 45*c + 4*x = 43*c + 6. Solve c*r = -12 - 3 for r. -3 Let z(d) = d - 1. Let v(t) = 8*t - 2. Let a(s) = -2*v(s) + 12*z(s). Let b be a(-3). Solve 0*k + 16 = b*k for k. 4 Suppose -4*b = -t - 8, 0 = 32*t - 28*t - 2*b + 4. Solve 12*v - 5*v - 35 = t for v. 5 Let z be ((-8)/(-1))/48 + (-118)/(-12). Solve -11*m + z*m = 4 for m. -4 Let f be ((-208)/(-40))/(1/5). Let x = f - 25. Solve s = -x + 4 for s. 3 Suppose -15 = -4*t + t. Suppose 2*r + d = r - 1, -5*r + 35 = -t*d. Suppose 5 = 2*i + a, 8 = r*i + a + a. Solve m = -m - i for m. -1 Let s = 69 + -77. Let r be 8/12*(-60)/s - -1. Solve -4*p + 2*p + r = 0 for p. 3 Let f(q) = -q - 7. Let z be f(-7). Suppose 7*d - 2*d = -2*x - 10, -4*x = -4*d - 36. Let w be (-1 + -1)*(-6 - d). Solve z = -2*t + t + w for t. 4 Suppose -5*a + 58 - 38 = 0. Let o be (-4)/16*0/(-2). Solve -a = -l - o for l. 4 Let j be (4*3/12)/(-2)*2. Let l be ((-11)/3*(13 - 10))/j. Solve -l*k - 9 = -8*k for k. -3 Let u = -27 + 77. Let y be ((-40)/u)/(6/(-15)). Solve 4 = y*o - 0*o for o. 2 Suppose 0 = 35*y - 26*y - 171. Solve -4*i - 35 + y = 0 for i. -4 Let p = 327 + -276. Solve -2*j + 41 = p for j. -5 Suppose 495 = 2*u + 7*u. Let l = 60 - u. Solve -l*d + 0*d = -10 for d. 2 Suppose -5*j + 254 = 134. Suppose -2*m + 8 = -m. Suppose 2*k - 2*v = 7*k - 28, 5*k - 40 = -5*v. Solve k*n - j + m = 0 for n. 4 Let x(a) = 9*a - 6. Let f be x(-3). Let z(q) = q**3 + 12*q**2 + 14*q - 2. Let d be z(-10). Let r = f + d. Solve 0 = h - 6*h - r for h. -5 Let x(o) = 11*o**2 + 10*o**2 + 40 - 13*o - 20*o**2. Let d be x(9). Solve -d*a = -2*a for a. 0 Suppose 3*b + 3 = 0, -4*b - 4 = 3*u + 9. Let i be (-1)/(-1) - (u + 1). Solve i*q + 0*q = 0 for q. 0 Suppose -4*x + 22 = -2*i, 4*x - 7 = 4*i + 25. Suppose 0 = -9*u + 15 + 30. Solve -u*p + 2 + x = 0 for p. 1 Let r be 4/(8/10) + 28 + 10. Solve -r + 42 = -a for a. 1 Let m be ((-6)/(-5))/(6/300). Suppose -75 + m = -3*j. Solve 0 = -j*g - 10 for g. -2 Suppose -5*g = 2*u + 28 + 18, -5*u = -g + 7. Let v be (g/(-10))/((-12)/(-60)). Solve 2*p = -0*p - v for p. -2 Suppose 2*j - 3*j + 17 = 0. Suppose 4*v + 3*q = -8, -q + 4*q = 5*v - j. Solve 3*l - 2 = v for l. 1 Let n = -6 + 10. Suppose -2*j + j = 5*p - 18, -2*p = -n*j + 6. Solve -j*r = -r for r. 0 Suppose -21 = -9*w + 33. Solve -9 = 3*j + w for j. -5 Suppose -5*u - f + 15 = 4*f, -5*u = 2*f - 15. Suppose 6*w - 5*w - 5 = 0. Suppose 3*k + w - 11 = 0. Solve k*v + u*v - 5 = 0 for v. 1 Let y(f) = 3*f**2 - 14*f - 20. Let h be y(6). Solve 12*r - 56 = h for r. 5 Suppose 0 = -b - 3*s + 13, 0*s + 4 = 2*s. Solve -5*a = b - 27 for a. 4 Let r be -5*(1 + ((-56)/(-20))/(-2)). Solve r*w - 15 + 17 = 0 for w. -1 Let d(r) = 2*r + 19. Let c be d(-8). Solve -c - 9 = 3*p for p. -4 Let j = -143 - -149. Let h = -1 - -4. Solve -s - j = -h for s. -3 Suppose -63 = -10*y + 3*y. Solve 5*n - 8*n = y for n. -3 Let y = -45 + 43. Let o be 2*y/3*(-9)/6. Solve o*g = -g - 15 for g. -5 Suppose 0 = -w + 4*w - 63. Suppose -f + 8*f = w. Solve -f*p = -0*p - 6 for p. 2 Suppose 0 = -4*d + 4*c, 3 = -3*c - 9. Let m be d/(-3) - (-22)/33. Suppose -3*n = m*n. Solve 4*o + o = n for o. 0 Suppose -480 = 9*t - 3*t. Let l be (6/8)/((-252)/t - 3). Solve -r + l - 4 = 0 for r. 1 Let t be (8/6)/((-4)/(-9)). Suppose 2*n - o + t*o = 32, -3*n + 52 = 5*o. Suppose -2*z = -4, 3*y + 0*y - n = -4*z. Solve 3*i - 5*i - y = 0 for i. -1 Suppose -954*p + 946*p = 120. Let d(z) = -z**2 + 7*z - 5. Let a be d(6). Let c be a + (-5)/(25/p). Solve 0*h = h - c for h. 4 Suppose 6*a - 72 = 3*a. Suppose a - 4 = 5*x. Suppose 4*z = 5*t - 18, 0*z - 8 = x*z. Solve 3*v - t*v = 0 for v. 0 Let b be (-255)/12 - (-3)/(-4). Let r = b - -23. Solve 2 = 3*k - r for k. 1 Let q be (-5)/(15/(-24)) + 1. Suppose 0 = -6*k + 5*k + 27. Suppose 3*i = -3*r + k, -5*r - 4*i = -2*i - 33. Solve -r*h - 11 = q for h. -4 Let b(u) = 4*u + 12. Let d(v) = -1. Let h(r) = -b(r) - 3*d(r). Let a be h(-6). Let j = a + -2. Solve -3*s + j = 1 for s. 4 Let g = -1 - -3. Suppose -h + 20 = -b, 3*b = -3*h - 37 - 53. Let o = 25 + b. Solve o = g*v + v - 12 for v. 4 Let c be (2/(-3))/(4/30). Let f be 1 - (-1)/((-5)/c). Suppose 0 = 5*k + 2*y + 3*y, 5*k + f*y = 3. Solve -k = -p - 0 for p. 1 Let k be (-6 - (-4)/(-12))/((-2)/6). Suppose 31 + k = 5*v. Solve 0 = -5*q - v for q. -2 Let x = 0 + -44. Let p = -34 - x. Solve 0 = 4*z - 30 + p for z. 5 Let n be (-914)/(-18) + ((-97)/9 - -11). Solve -48 + n = -3*p for p. -1 Let y(k) = k**2 + 8*k - 17. Let c be y(-10). Suppose 5*v = 3*x - x + 4, 0 = -3*v - c*x + 15. Solve 0 = m - v + 7 for m. -5 Let f be (-110)/50*(-27 - -2). Let p be 4/(-22) + 65/f. Solve -p = -d - 0*d for d. 1 Let p = -13 + 19. Suppose p - 45 = -13*g. Solve w = 2 + g for w. 5 Let y(j) = -2*j**2 - 11*j + 6. Let z be y(-8). Let q be ((-4)/20 + z/(-20))*2. Solve 0*d = -q*d + 15 for d. 5 Let r be (0 + 8)/(-1 + 3). Let d be (1 - (-2)/4) + (-6)/r. Solve d = 2*f - 0*f + 8 for f. -4 Let v be (-1 - 0)*-15*1. Let c = v + 8. Suppose 315*d = 306*d + 45. Solve c = -d*t + 3 for t. -4 Let b be -2 + ((-8)/6)/((-4)/18). Suppose 2*a = -n - b*n + 73, 5*n + 5*a = 85. Solve -n + 4 = -3*d for d. 3 Suppose -z = -3*z. Let s = 44 - 29. Let m = -11 + s. Solve 0 = 4*g - z*g - m for g. 1 Let d(p) = -p**3 - 10*p**2 - 24*p + 6. Let j be d(-6). Solve -21*r + 19*r = j for r. -3 Let c(g) = -8 + 24 + g**2 - 13. Let f be c(0). Solve 0 = -f*h + 3 - 0 for h. 1 Let u be (-1598)/(-10) - 17/(-85). Suppose 11*z - u = z. Solve -6 + z = 5*w for w. 2 Suppose 4 = -x, p - 2*x = 8 + 2. Suppose 2*u - 6 = p*v, u - 5*v = -5 + 4. Solve u*o = 5*o - 5 for o. 5 Let n be (72/168 - 62/14)*-1. Solve 4*f = 3*f + n for f. 4 Suppose 12 - 2 = f. Let m be f/15 + (-1)/(-3). Let q be 1/5 - m/5. Solve 2*a + 2*a - 4 = q for a. 1 Suppose -q - 28 = -2*k + 10, -4*k - 164 = 4*q. Let r = q + 40. Solve g - 1 = -r*g for g. 1 Suppose 2*k + i - 17 = 0, k = -2*k + i + 33. Let l be (18/5)/(3/k). Let w be (-12)/7*(-42)/l. Solve -a - w = a for a. -3 Let q(p) be the first derivative of -p**4/4 + 2*p**3 - 7*p**2/2 + 2*p - 5. Suppose -2*n - 8 = -16. Let m be q(n). Solve -2*v + m = -4*v for v. -3 Let t(y) = y - 8. Let r be t(8). Let w(o) = 0 + o + 2 - 6. Let d be w(9). Solve -5 = -r*h - d*h for h. 1 Let o(u) = -4*u + 5. Let h be o(-5). Suppose 2 = -7*q + 23. Suppose 0 = 5*k - h, q*a - 6*k + 4 = -k. Solve -3*p + 8 = -a for p. 5 Suppose 28 = 94*j - 80*j. Solve -l = -j*l - 4 for l. -4 Let m(t) = 5*t**2 - 7*t - 24. Let y be m(4). Solve 33*n - 20 = y*n for n. 4 Let i(w) = 6*w - 42. Let n be i(5). Let y(c) be the second derivative of -c**3/6 - 9*c**2/2 - c. Let g be y(n). Solve g*z - 5*z - 6 = 0 for z. -3 Let h(y) = y**3 + 7*y**2 + 6*y. Let s be h(-6). Suppose 4*j - 6*j = 20. Let w be (j + 2)/(-2) + -11 + 8. Solve t + w + 1 = s for t. -2 Let h = 161 + -159. Let o be 0 + 1 - (-6 + h). Solve o*s - 2 = -22 for s. -4 Suppose 25*x + 10*x = -22*x. Solve x = 3*f - 6*f - 3 for f. -1 Let q = 493 + -491. Solve q*v - 5 = 1 for v. 3 Let c be (-4)/6 - 11/(-3). Suppose -2*z - 2*p + 16 = 0, 4*p = z + 20 - 3. Let j = -5 + 20. Solve -c*t + z = j for t. -4 Let a(t) = t**2 - 37*t - 208. Let w be a(42). Solve -w =
{ "pile_set_name": "DM Mathematics" }
ms in 2070*t**3 - 3349*t**3 + 3076*t**3. 1797*t**3 Collect the terms in -25491 - 5182 - 2573 + v. v - 33246 Collect the terms in 490 + 9*c**3 + 0*c**3 + 38*c**3 - 11*c**3. 36*c**3 + 490 Collect the terms in k - 7*k**2 + 2462 + 7*k**2 - 5*k**2 + 38371. -5*k**2 + k + 40833 Collect the terms in 277 + 396*v**2 - 11*v + 1444 - 395*v**2. v**2 - 11*v + 1721 Collect the terms in -63*r**2 + 16 - 50 + 15 + 9 + 115*r**2 - 57*r**2. -5*r**2 - 10 Collect the terms in -36406 - 36412 - 245*r**3 - 36402 + 605*r**3 + 109220. 360*r**3 Collect the terms in 2654*o**2 + 26651*o**2 - 29308*o**2. -3*o**2 Collect the terms in -i + 979*i**2 + i + 1098*i**2. 2077*i**2 Collect the terms in 276*m + 57*m**3 + 4 - 59*m**3 - 2 - 28*m. -2*m**3 + 248*m + 2 Collect the terms in -8794 + 241*g**3 - 8785 + 26427 - 8848. 241*g**3 Collect the terms in -2 + 3460*r**2 - 6903*r**2 - 7 + 3456*r**2 + 9. 13*r**2 Collect the terms in -35*y**3 + 488 + 93*y**3 + 2*y**2 - 26*y**3 - 36*y**3. -4*y**3 + 2*y**2 + 488 Collect the terms in 87*d**3 + 21*d - 11*d - 10*d - 299*d**2. 87*d**3 - 299*d**2 Collect the terms in 218378 + 218481 - 436859 + 11*z. 11*z Collect the terms in 135*n + 393*n + 243*n + 148*n. 919*n Collect the terms in 54*p + 91*p + 2 + 111*p + 97*p + 82*p. 435*p + 2 Collect the terms in 515*r**2 + 233*r**2 - 3245*r**2 - 773*r**2 - 1743*r**2. -5013*r**2 Collect the terms in -2399*z + 4323*z**2 - 4319*z**2 - 2394*z + 4793*z. 4*z**2 Collect the terms in 327 + 1548*r - 916*r - 327 - 629*r. 3*r Collect the terms in 3699625*n - 3699625*n + 448*n**2. 448*n**2 Collect the terms in -82153692 + 82153692 + 404*j**2. 404*j**2 Collect the terms in 284453584597655 - 284453584597655 - 4*v**2. -4*v**2 Collect the terms in p - 131 - 17*p**2 - 2*p - 42*p**2. -59*p**2 - p - 131 Collect the terms in -3189*i**3 + 3223*i**3 - 30*i**3. 4*i**3 Collect the terms in -16 - 20*s**3 - 25*s**3 - 31*s**3 - 11 - 28*s**3 + 131*s**3 - 29*s**3. -2*s**3 - 27 Collect the terms in 6*b - 26*b + 16*b - 23062*b**2 + 5*b. -23062*b**2 + b Collect the terms in -16*z**3 + 2151*z - 10*z**3 - 19 - 13 - 29*z**3 - 2150*z. -55*z**3 + z - 32 Collect the terms in 2*i**3 - 52*i + 33886 - 33885 + 32*i**3. 34*i**3 - 52*i + 1 Collect the terms in -4237 - 4541 - 4237 + 13083 + 6*y. 6*y + 68 Collect the terms in -138*t**2 + 661*t**2 - 144*t**2 - 141*t**2 - 116*t**2 - 129*t**2. -7*t**2 Collect the terms in -9*x**3 - 30152*x**2 + 30152*x**2 - 22*x + 22*x. -9*x**3 Collect the terms in -30 + 850785144*v**3 + 30 - 850784509*v**3. 635*v**3 Collect the terms in -14 - 25*f - 30*f - 25 + 65*f + 62 - 12. 10*f + 11 Collect the terms in -27 - 472*w**3 + 62020*w**3 + 27. 61548*w**3 Collect the terms in -8709*h**2 - 8579*h**2 + 2*h + 25999*h**2 - 2*h - 8712*h**2. -h**2 Collect the terms in 2897 + 7*c + 2897 + 2900 - 11586 + 2895. 7*c + 3 Collect the terms in 1619 - 269 + 3*p**3 - 259 - 269 - 269 - 273 - 280. 3*p**3 Collect the terms in -4*n + 0*n + 3*n - 343*n**3 - 5*n**2 + 6*n**2 + 18*n**2. -343*n**3 + 19*n**2 - n Collect the terms in 38 + 68 - 31 - 28 - 25 - 25 + 30*o**2. 30*o**2 - 3 Collect the terms in 24963*a + 23*a**3 - 23*a**3 - 12481*a + 47*a**3 - 12482*a. 47*a**3 Collect the terms in -83306*f + 167386*f - 26*f**3 - 84080*f. -26*f**3 Collect the terms in -390670*b**3 - 425*b - 4 + 425*b. -390670*b**3 - 4 Collect the terms in 1291*l - 300*l + 767*l. 1758*l Collect the terms in -26 + 5456*g**2 + 5462*g**2 + 5457*g**2 - 16399*g**2 + 26. -24*g**2 Collect the terms in -232658*s**2 - 640272*s**2 + 1 - 1. -872930*s**2 Collect the terms in -32 + 32 - 13115023*n. -13115023*n Collect the terms in -2271*x**2 + 1092*x**2 - 489*x**3 + 1179*x**2. -489*x**3 Collect the terms in -2062*v**2 + 2429*v + 2*v**3 + 2062*v**2 + 2 - 2. 2*v**3 + 2429*v Collect the terms in -1111 - 55*k + 24*k**2 + 1104 - 25*k**2. -k**2 - 55*k - 7 Collect the terms in -14953*s**3 - 18868*s**3 + 33818*s**3. -3*s**3 Collect the terms in 4*p**2 - 5*p**2 + 2*p**2 - 48*p + 62*p**3 - 11*p - 51*p. 62*p**3 + p**2 - 110*p Collect the terms in 9*a + 74 + 32 - 106 - 9*a + 570*a**3. 570*a**3 Collect the terms in -104930512*m**3 - 104930508*m**3 + 209861018*m**3. -2*m**3 Collect the terms in 5072*y - 4990*y + 10 - 10. 82*y Collect the terms in 2*x**2 - 5*x**2 + 57475584*x**3 - 57475454*x**3. 130*x**3 - 3*x**2 Collect the terms in 0*h**2 - 4347*h - 11557*h + 15904*h + h**2. h**2 Collect the terms in -14*m - 150 - 157 - 154 - 152 + 772 - 157. -14*m + 2 Collect the terms in 925463350961233*f + 3*f**3 - 925463350961233*f. 3*f**3 Collect the terms in 94*b**3 - 121*b**3 - b - 309*b**3 + 3*b. -336*b**3 + 2*b Collect the terms in -52548 + 52548 - 128*c + 128*c - 548*c**2. -548*c**2 Collect the terms in -49*t**2 - 52*t**2 + 591 - 89*t**2 - 262 - 292. -190*t**2 + 37 Collect the terms in 822*u**2 - 148*u**2 - 31710564 + 31710564 - 7*u. 674*u**2 - 7*u Collect the terms in 27237555585 + 9*q + 18*q - 27237555585. 27*q Collect the terms in -706*v**2 - 67*v**2 - 105*v**2 - 781*v**2 + 276*v**2 - 4*v**2. -1387*v**2 Collect the terms in -11*j**2 - 75 + 135*j + 164 - 47 - 41. -11*j**2 + 135*j + 1 Collect the terms in 14920*b**3 + 14960*b**3 + 3 + 14991*b**3 - 59714*b**3 + 14944*b**3 - 3. 101*b**3 Collect the terms in 448*y - 662*y - 203*y + 4*y**3. 4*y**3 - 417*y Collect the terms in -99*k**3 + 244*k**3 - 11*k - 134 + 134 + 11*k. 145*k**3 Collect the terms in -12904*p**2 + 12904*p**2 - 69172*p**3. -69172*p**3 Collect the terms in -17*f**2 - 333*f - 24*f**2 - 149*f + 278*f - 1 - 507*f. -41*f**2 - 711*f - 1 Collect the terms in 2 - 40*l**2 - l + 20*l**3 - 17*l**3 + l + 27*l**3. 30*l**3 - 40*l**2 + 2 Collect the terms in 1626*k - 5*k**3 - 837*k - 759*k. -5*k**3 + 30*k Collect the terms in 2*o + 3*o + 1779 + 6083 - 1144. 5*o + 6718 Collect the terms in 476*k**3 + 87*k - 276 + 276. 476*k**3 + 87*k Collect the terms in -169 + 469 + 723 - f. -f + 1023 Collect the terms in -30667*u**2 - 19885*u**2 - 32378*u**2. -82930*u**2 Collect the terms in -32741 + 10917 + 10913 + 10911 + 27*j**3 + 0*j**3. 27*j**3 Collect the terms in 19*y + 443*y**2 + 375*y**2 - 852*y**2. -34*y**2 + 19*y Collect the terms in -43731*i + 8522*i - 12825*i. -48034*i Collect the terms in 79406 - 79406 + 13442*i. 13442*i Collect the terms in -4*n**2 + 1388450855 - 1388450855. -4*n**2 Collect the terms in 12 - 7270*w + 13 + 14566*w - 7247*w. 49*w + 25 Collect the terms in 29*s**2 - 6 + 64*s**3 - 2 + 7*s**2 - 36*s**2. 64*s**3 - 8 Collect the terms in 1984*j**2 - 6286*j**2 + 2338*j**2 + 1966*j**2. 2*j**2 Collect the terms in -169118*y**2 + 84162*y**2 + 84609*y**2. -347*y**2 Collect the terms in 651953*g + 651907*g - 1303862*g. -2*g Collect the terms in 6 + 15 + 8911512*n - 21. 8911512*n Collect the terms in 2636*u**3 + 2627*u**3 + 2445*u**3 - 7709*u**3. -u**3 Collect the terms in 8786*a**3 - 16061*a**3 + 7271*a**3. -4*a**3 Collect the terms in -3125*m**2 - 3*m - 4572*m**2 - 4*m - 4*m. -7697*m**2 - 11*m Collect the terms in -13*f + 13468*f**3 - 13467*f**3 + 20*f**2 - 41*f**2 + 21*f**2. f**3 - 13*f Collect the terms in -36211 - 1645*x + 18130 + 18081. -1645*x Collect the terms in -19*f**3 + 1886*f**2 - 2643*f**2 - 1653*f**2. -19*f**3 - 2410*f**2 Collect the terms in -128*p**2 - 111*p**2 + 3172 - 3169 + 39*p**2. -200*p**2 + 3 Collect the terms in -152670 + 152674 + 6*h**2 - 2*h**2 - 6*h**2. -2*h**2 + 4 Collect the terms in -50 + 50 + 422*s + 1907*s. 2329*s Collect the terms in 29192 - 57887 - 2*d**2 + 28695 - 3*d**2 + 2*d**2. -3*d**2 Collect the terms in -777*d - 859*d + 48*d - 113*d. -1701*d Collect the terms in 2484*p**3 + 2336*p**3 - 4700*p**3. 120*p**3 Collect the terms in -37*q - 1131*q**2 - 27*q + 52*q + 12*q. -1131*q**2 Collect the terms in 35 + 43 + 34 - 1176*u - 112. -1176*u Collect the terms in -106348*a - 45 + 224 - 106339*a + 212685*a + 330. -2*a + 509 Collect the terms in 656417*q - 1312835*q + 656416*q + 12*q**3. 12*q**3 - 2*q Collect the terms in -37*z**3 - 143*z**2 + 143*z**2 - 56*z**3 - 53*z**3 + 142*z**3. -4*z**3 Collect the terms in -563*x**2 - 7*x + 596*x**2 + 74 + 3*x. 33*x**2 - 4*x + 74 Collect the terms in 0 - 3*q**2 - 203*q**3 + 10 + q**2 - 7 - 27. -203*q**3 - 2*q**2 - 24 Collect the terms in 153*k - k**2 + 140*k - 412*k + 119*k. -k**2 Collect the terms in 11 - 546*x**3 - 29 - 1683*x**3 - 18. -2229*x**3 - 36 Collect the terms in -552711772
{ "pile_set_name": "DM Mathematics" }
64*v Expand (-131*x**4 - 150*x**4 + 92*x**4)*(4*x - x - 4*x). 189*x**5 Expand (-2*p + 0 + 0 + (-5 + 0 + 0)*(-p - 4*p + 4*p) + 1 + 2*p - 1)*(0*p**3 - 2 + 0 + 2*p**3). 10*p**4 - 10*p Expand (0 + 0 + m**2 + (-4*m**2 + m**2 + m**2)*(1 - 3 + 0) + 2*m**2 - 2*m**2 - 2*m**2)*(-m**3 + 4*m**3 + 0*m**3) + 66*m**5 - 8*m**5 + 17*m**5. 84*m**5 Expand (-195 - 14*a + 195)*(-a + 3*a - 3*a)*(0 - 2 - 1). -42*a**2 Expand (-2*z**2 + 3*z - 3*z)*(2*z + 5*z - 5*z) + 4*z**2 + z**3 - 4*z**2 + (0*z + 0*z - 2*z)*(3*z**2 - z**2 + 0*z**2) + 2 + z**3 - 2. -6*z**3 Expand (4 - 8 - 3)*(3*r**2 + r**2 + 5*r**2). -63*r**2 Expand (-3 + 5 - 3)*(-1 + 0 - 1)*(1 + 6 - 3)*(-10*v + 27 - 27)*(v**4 + 0 + 0). -80*v**5 Expand c + 0 + 0 - c + 4*c - 2*c + (-7 + 2 + 3)*(3 - 3 - c) + (-2*c + 2*c - c)*(5 - 3 + 0). 2*c Expand (-13*p - 16*p - 27*p)*(3 + 0*p - 2 + p). -56*p**2 - 56*p Expand ((1 + u - 1)*(2 + 0 - 1) + 4*u - 3*u + u)*(-2 - 5*u**4 + 3*u**3 + 0*u**4 + 3*u**4). -6*u**5 + 9*u**4 - 6*u Expand (0 + 0 + f)*(-241 - 67 + 16). -292*f Expand (2 + 3*g**2 - 2)*(-2 - 4 - 4)*(0 + 8 - 7). -30*g**2 Expand (5 - 5 + 1)*(-35*u**2 - 64*u**2 - 262*u**2). -361*u**2 Expand ((-1 + 0 + 3)*(-1 + 1 + 9*l) + 3*l - 2*l + 2*l - 3*l + 3*l - 5*l)*(-l + 0*l + 3*l). 32*l**2 Expand (906 - 186 + 299)*(-3 + 3 - s). -1019*s Expand (-j**2 - 3 + 3)*(-10*j + 2*j + 0*j) + 3*j**3 - 13*j**3 + j**3. -j**3 Expand (-2 + 10*j + 1 - 12*j)*(9 - 131 - 67). 378*j + 189 Expand 0*x**3 + 2*x**3 - 4*x**3 + (-4 + 1 + 0 + 2*x)*(-x + 2*x - 2*x)*(10*x + 26*x + 2*x). -78*x**3 + 114*x**2 Expand 4*z - 5*z + 3*z + (3 - 6 + 2)*(0*z + z + 0*z) - 7 + 7 + 14*z + 7*z - 3*z - 2*z. 17*z Expand (-28*c - 719 + 719)*(3*c**3 + 2*c**4 - 3*c**3) + 4*c**2 - 4*c**2 - 4*c**5. -60*c**5 Expand (-1 + 36 - 1)*(1381*v**2 - 33*v**3 - 1381*v**2). -1122*v**3 Expand (-1 - 1 + 4)*(37*s + 16*s - 13*s + (5 - 3 - 3)*(s + 1 - 1) + 0*s - 3*s + s). 74*s Expand (-2*t + 2*t**2 + 2*t)*(-32*t + 2*t - 8*t) + (3 + 0 - 1)*(-6*t**3 - 12*t**3 + 0*t**3) + t**3 + 0*t**3 + t**3. -110*t**3 Expand (0 + 0 - j**2)*(j**2 + 5*j - 5*j) + (2*j**2 - 3*j**3 - 2*j**2)*(-3 + 3 + j - 3*j + 2*j + 3*j + (-j - 3*j + 5*j)*(1 - 1 + 2) - j - j - j). -7*j**4 Expand (-4*y - 2*y + 2*y)*(-6 + 7 + 3). -16*y Expand (-l**2 - 4*l**2 + 4*l**3 + 6*l**2)*(-4*l**2 + 2*l**2 + 16*l**2). 56*l**5 + 14*l**4 Expand (0*x - 3*x + x)*(-24*x**4 - 3*x**4 + 4*x**4) + 47 - 47 - 7*x**5. 39*x**5 Expand (-17*d**2 - 2*d**2 - 16*d**2)*(-3*d - 17 + 17)*((2*d - 2*d + d)*(3 - 3 - 2) - 2 + 2 + d). -105*d**4 Expand (-2*k + 3*k - 5*k)*(0 - 1 + 0) - k - k + 3*k - 83 + 19*k + 83. 24*k Expand (161 - 364 + 37 + (-1 + 2 + 0)*(-1 - 2 + 2))*(-4 - 2*p + 4). 334*p Expand (2*r**5 - 4*r**4 + 4*r**4)*(179 + 231 - 274). 272*r**5 Expand (5 + 65 + 135)*(-4*f - 1 + 1). -820*f Expand -20*l**4 + 20*l**4 - 2*l**5 + (-3*l**2 + 0*l + 0*l)*(-2*l**3 - 2 + 2) + 5*l**5 + 2*l**5 + 3*l**5. 14*l**5 Expand ((-3 + 8 - 13)*(0*b + b - 2*b) - 2*b + 3*b + 0*b + 0*b - b - b)*(-4 + 4 - 3*b). -21*b**2 Expand (3*l + l - 5*l)*(3 + 1 - 3 + (3 + 2 - 3)*(-2 + 4 - 1) + 5 - 3 - 1 + 0 + 3 - 2) + (-1 + 0 + 3)*(l - 2*l + 2*l) - 6*l - 2*l - 2*l. -13*l Expand -17*y**2 + 23 - 23 + (-6*y**2 + 4*y**2 + 3*y**2)*(-2 - 4 + 4) - 12*y**2 + 6*y**2 - 5*y**2. -30*y**2 Expand (2*d - 4*d + 4*d)*(0*d**3 - d**3 - 3*d**3) + (-4*d + 4*d + d**2)*(d**2 - 1 + 1) + (-2*d + 3*d - 3*d)*(d**3 - 3*d**3 + d**3) + 7*d**4 + 3*d**4 + 5*d**4. 10*d**4 Expand 2*n**5 - 5*n**5 - n**5 + 0*n**3 + 0*n**3 + n**5 + (-2*n**4 + 0*n**4 + 0*n**4)*(n - 2*n - 10*n) + 0*n**5 - 5*n**5 + 4*n**5. 18*n**5 Expand (3 - 1 - 6)*(-4 - 1 + 3)*(4 - 1 - 1)*(0 - 6 + 2)*(0*r - 4*r + 2*r). 128*r Expand (3*a**3 + a - a)*((-3 - 5 + 2)*(-2*a + 2*a + a) + (0 + 1 + 0)*(0*a - a + 3*a)). -12*a**4 Expand (-2 + 2841*h**2 + 0*h + h - 2767*h**2)*(4*h - 4*h + h**3). 74*h**5 + h**4 - 2*h**3 Expand (-3 + 0 - 33*y + 27*y)*(-3*y**2 + 4*y**2 + y**2) + ((0 - 2*y + 0)*(1 - 4 + 1) + y + 2 - 2 + 2*y + 0*y + 0*y)*(0*y**2 + 2*y**2 + 0*y**2). 2*y**3 - 6*y**2 Expand (2329*k**3 + 13 - 2332*k**3 - 102)*(-4*k**2 + k**2 + k**2). 6*k**5 + 178*k**2 Expand (0 + 3 - 1)*(-14 + 14 + 5*l + (-2 + 2 - 2)*(3*l + 2*l - 6*l))*(-2*l + 0*l + 0*l + (1 + 1 - 3)*(1 + l - 1) + 1 + 2*l - 1 - 3*l + 3*l - 2*l). -42*l**2 Expand (a - 1 + 1)*(101 - 11*a - 101) - 2*a**2 - 10*a + 10*a. -13*a**2 Expand (i - i + 2*i)*(132 - 132 - 109*i). -218*i**2 Expand (1 + 5 + 1)*(4*n - 3*n + 3*n + (2 - 4 + 0)*(-n + 1 - 1))*(3 + 4 - 5) + (-1215 + 1215 - 4*n)*(-2 - 2 + 3). 88*n Expand ((-1 - 1 + 4)*(-23 + 2*k + 23) - 8 - 18*k + 8 + (-2 + 4 - 1)*(3*k + 3*k - 4*k))*(k + k - k). -12*k**2 Expand (-3*f + 2*f + 2*f)*(32 + 31 - 76)*(1 - 3 - 1) + (-5*f + f + 3*f)*(2 - 3 + 8). 32*f Expand (-g - g + 0*g)*(4525*g - 4525*g - 3*g**2)*(3 - 4 + 3). 12*g**3 Expand (84 - 54 - 48)*(-1 + 1 - 1 + 2*l). -36*l + 18 Expand ((-1 + 1 + b)*(b - 6*b + b) - b**2 + b**2 + b**2)*(12*b - b - 3*b). -24*b**3 Expand (31*t**4 + 16*t - 16*t)*(-2*t + 1 - 1 + (3 + 0 - 4)*(8 - 8 - 5*t)). 93*t**5 Expand -161*x**3 - 438*x**3 + 176*x**3 - 165*x**3 + (-2*x**2 - x**2 - 2*x**2)*(2*x - 3*x - x). -578*x**3 Expand (7*a + 3*a + 0*a)*(26 - 6 + 0). 200*a Expand (-1 + 2 + 3)*((0*y - y - y)*(0 - 4 + 1) - 13*y + y - 10*y)*(3 - 4 + 0). 64*y Expand -373 + 373 - 92*n + (0 + 0 - n)*(1 - 3 + 0) + 2*n - n + n. -88*n Expand (-8 + 11 - 7)*(-2 + 2 + 2)*((3 - 2 + 1)*(1 - 1 + d) + (11*d + 4*d + 9*d)*(2 + 3 - 7)). 368*d Expand (-2*i + 2 - 2)*(i**4 + 0*i**4 + 0*i**4) - 4*i**5 + 0*i**5 + 2*i**5 - 38418*i**3 + 38418*i**3 - 79*i**5. -83*i**5 Expand -3*l**2 + l**2 + 0*l**2 + (-188 + 188 - 64*l)*(0*l - 4*l + 3*l). 62*l**2 Expand (-16*d + d - 6*d)*(-2 + 4 - 1)*(-3*d - 1 + 1)*(4*d**3 - 2*d**3 + 0*d**3). 126*d**5 Expand (7*r**2 - 29*r + 29*r)*(-2 + 1 + 2) + 4*r**2 - r**2 - 4*r**2. 6*r**2 Expand (-2787*s + 1431*s + 1464*s)*(3 + 2 - 3). 216*s Expand (2*j - 7*j + 4*j)*(-5*j + 3*j + 0*j)*(3*j - j - 6*j). -8*j**3 Expand (-7 + 2*m + 7)*(82 - 82 - 71*m). -142*m**2 Expand 4*o**2 - 3*o + 4*o - 3*o + (-2 - 13 + 5)*(2*o**2 - 3*o**2 + 0*o**2). 14*o**2 - 2*o Expand (-7 + 6 - 1)*(6*w**4 - 9*w - 16*w**4 + 7*w). 20*w**4 + 4*w Expand (3 + 6 + 5)*(-9*x**4 + 12*x**4 + 5 + 6). 42*x**4 + 154 Expand (-2 - 7 + 0)*(-10*v - 22*v + 9*v)*(-2*v - 3*v + 4*v) + (3 - 3 + v)*(3*v - 2*v - 2*v). -208*v**2 Expand -46*p**3 - 43 + 43 + (-p**2 - 1 + 1)*(3*p + 0*p - p) + 6*p**3 + 7*p - 7*p. -42*p**3 Expand (-2*r - 78*r**3 + r**2 + 3*r**2 + 76*r**3)*(-27*r**2 + 109*r**2 - 38*r**2). -88*r**5 + 176*r**4 - 88*r**3 Expand (117*z**2 - 117*z**2 + 44*z**3 + (-4*z**2 + z**3 + 4*z**2)*(0 - 2 + 1))*(4*z - 3*z + 0*z). 43*z**4 Expand (2*u**5 + 2*u**4 - 2*u**4)*(-2 - 3 + 0) + (2*u**4 + 3*u**3 - 3*u**3)*(-u - 3*u + 2*u) + 173*u**5 + 10958*u - 10958*u. 159*u**5 Expand 2*u - 2*u + u + (7 - 4 - 5)*(-u + 0 + 0) + 2*u + 8*u - 29*u. -16*u Expand (-2*s - 4*s - 3*s)*(-5*s**2 + 11*s**2 - 3*s**2). -27*s**3 Expand (-353 + 224 - 242)*(2*c**3 - 3*c**2 + 3*c**2). -742*c**3 Expand -2 - 2*x + 2 - 4*x - 3 + 3 + (0 + 4 - 5)*(2*x - x - 3*x). -4*x Expand -12*s**4 + 29*s**4 + 19*s**4 + 3*s**4 - s**4 + 0*s**4 + (-s**2 + 2*s**3 + s**2)*(-s - 4*s + 3*s) - 2*s**4 + s**4 + 2*s**4 + 4*s**4 - 2*s**2 + 2*s**2. 39*s**4 Expand (1 - 1 + 2*u)*(-3*u + 4*u - 3*u) + 2*u**2 - 2*u**2 - 3*u**2 + u**2 - 3*u**2 + u**2 + (-5*u + 2*u + 2*u)*(u + 3*u - 5*u) - 2*u**2 - 8*u**2 + 6*u**2. -11*u**2 Expand w**5 + 2*w**5 - w**5 + (-w + w + w)*(w**4 + 0*w**3 + 0*w**3) + w**5 - w**3 + w**3 + 0*w**2 - 2*w**5 + 0*w**2 + 31*w**3 + 8*w**5 - 33*w**3 + 10*w**5. 20*w**5 - 2*w**3 Expand (-3*t + 0 + 0 + t**2)*(-16*t - 35*t + 21*t)*(-3*t + 3*t - 2*t**2). 60*t**5 - 180*t**4 Expand (0*p**2 - 2*p**2 - 6*p**2)*(-2*p + 0*p - 14*p). 128*p**3 Expand 0*v**5 + v**5 + v**5 + 0*v**5 - v**5 - v**5 + (0*v**2 + 0*v**2 - v**2)*(-1 + 1 - 2*v**3) - 3*v**5 + 5*v**5 + v**5 + v**5 + v**5 - 4*v**5. 3*v**5 Expand 4*z**5 - z**5 - 6*z**5 + (-5*z + 5*z - z)*(3*z**4 - 6*z**4 + 4*z**4) - 2 - 2*z**5 + 2 + (0 + 0 - z**2)*(-z**3 - z**2 + z**2). -5*z**5 Expand (0*o - 2*o + 0*o)*(-1 + 2 + 2)*(2 + 0 - 4)*(-6 + 4 + 9)*(-2*o**2 - 3*o**2 + 2*o**2). -252*o**3 Expand (-1 + 4 + 1)*(-385*k**4 + 163*k**4 + k**3 + 36*k**4 - 900*k**4). -4344*k**4 + 4*k**3 Expand 9*a - 12*a + 6*a + (1 + 1 - 3)*(-24*a + 4*a - 4*a). 27*a Expand (q - 3 + 3)*(-275 - 38 + 50 - 5). -268*q Expand (35 - 35 - 5*w**2)*(3*w**2 + w**2 - 2*w**2) - w**4 + 22*w**3 - w**2 - 22*w**3
{ "pile_set_name": "DM Mathematics" }
mmon multiple of h and 67? 268 Let q = -2 - -11. Suppose -2*r + 759 = 2571. What is the common denominator of -77/20 and 1/12*r/q? 180 Let a = -135/2 + 64. Calculate the common denominator of -21/10 and a. 10 Let j be (-1765)/45 + 4/18. Calculate the common denominator of 45/2 and j/((-2 + 0)*-1). 2 Let b(p) = -12*p**3 + 3*p**2 - 4*p - 1. Let j be b(-4). Let y = -12315/8 + 1536. Calculate the common denominator of j/(-90) + (-8)/(-20) and y. 24 Let l = -38 + 15. Let g = -17 - l. Calculate the least common multiple of g and 6. 6 Suppose 0 = -12*f + 8*f + 220. Calculate the lowest common multiple of f and 25. 275 Let r = 11 + -9. Let a = 10 - r. Calculate the lowest common multiple of 10 and a. 40 Suppose 0 = 2*o - 0 - 30. Suppose -7 = -5*h - 2*q + 8, h + 4*q = -o. Let k = -7 - -10. What is the smallest common multiple of k and h? 15 Let z = 3 - -1. Let r = 0 + 0. Let q(d) = d**3 + d + 3. What is the smallest common multiple of q(r) and z? 12 Suppose 0 = 2*q + 9831 + 24209. Let c = q - -374521/22. Let t = 202 - 377/2. Find the common denominator of t and c. 22 Let m = -3978/25 - -159. Let l = m + -169/50. What is the common denominator of -97/12 and l? 12 Suppose -3*v + 8 = v, 5*v - 2368 = -d. Let h = d - 676747/287. Let r = -6023/1148 + h. Calculate the common denominator of r and -12/5. 20 Calculate the common denominator of -66/35 and (-1 + 4)*(5 - (-96)/(-20)). 35 Calculate the common denominator of -2 - ((-1 - 1) + (-89)/6) and -23/75. 150 Suppose 5*j - 3 = u + 13, 24 = 5*u + j. Suppose -u*k = -k, -4*k = 5*g - 9350. Let o = -18621/10 + g. Find the common denominator of o and 19/7. 70 Let s be 3/2*(-1158)/(-15). Let j = s - 2181/20. Calculate the common denominator of 226/12 + ((-1)/1 - -7) and j. 12 Suppose 3120 = -11*p + 10*p. Let s = p + 24923/8. Find the common denominator of 80/(-14) + 1*-1 and s. 56 Suppose 0 = 3*p - 0*p - 135. Let b be 145/p + (-4)/18. Suppose 2*u + 2*s + b*s = -16, 4*u = -2*s. What is the least common multiple of u and 10? 10 Let a = -3/935 - 24253/17765. Calculate the common denominator of a and -30/7. 133 Suppose 4*n + x - 26 - 9 = 0, -n + 5 = x. Suppose 0 = -2*p + n + 6. What is the least common multiple of 4 and p? 8 Let w = 949 - 931. Let l = 32 - 18. Calculate the lowest common multiple of l and w. 126 Calculate the common denominator of -1 - (1 + 26/88) and -111/40. 440 Let p = -1405 - -4168/3. Let b = -12403/10 + 1248. What is the common denominator of b and p? 30 Let o(p) = -p**3 - 6*p**2 - p + 1. Suppose 4*a - 8 = -32. Let c be o(a). Find the common denominator of 2/c + (-613)/14 and -30. 2 Let a(w) = w**2 - 2. Let z be a(2). Suppose 5*d + 4*b = 3*b + 105, -b = z*d - 39. What is the smallest common multiple of d and 4/(-2)*(1 + -12)? 22 Let t(j) be the third derivative of j**4/24 - j**3/2 + j**2. Suppose -2*q - 2*h - 3 = -15, -h = 3. Calculate the lowest common multiple of t(q) and 18. 18 Let s(i) = -i - 10. Let x be s(-7). What is the common denominator of 2 - 2*79/(-12) and (1 + x)/(8/(-51))? 12 Let y = -3321/1505 - -2/301. What is the common denominator of 4/(-22*3/39) and y? 55 Let w = 1626 - 616. Suppose -w = -4*v + 90. What is the common denominator of -19/7 and v/(-210) - 1/(-6)? 7 Let x be (-4)/2 + 4 + -1. Let p be (-2)/3*(-2 - x). What is the common denominator of -45/4 and (49/2)/(5*p)? 20 Let z(o) = 6*o**3 - 5*o**2 + 9*o - 5. Let r be z(7). Let j = r - 18777/10. Calculate the common denominator of (36 + -2)/((-44)/(-5)) and j. 110 Let j = 54 - 47/2. Let n be (-689198)/(-6492)*(-6)/(-84). Let d = n - -3/7574. Find the common denominator of j and d. 12 Suppose 2 + 7 = 3*x. Suppose 2*v = d + 17, -x*d + 4*d + 26 = 3*v. Calculate the smallest common multiple of v and 6. 18 Suppose -5*u + u = 76. Calculate the common denominator of u and (-57)/(-24) + (-9)/(-6). 8 Suppose 6*i - 11 = 1. Suppose 0 = -5*k + 10, 3*k + 2 = 4*u - 0*u. What is the lowest common multiple of i and u? 2 Suppose 0*n + 3*n + 3*l - 3 = 0, -2*n + 3*l + 7 = 0. Let q be 14/(-30) - (n + -3). Let g = q - 17/60. Find the common denominator of g and 36/5. 20 Let y be 6/2*2/3. Find the common denominator of -2*((-212)/(-144) - y) and 69/8. 72 Let v(t) be the first derivative of 7*t**2 + 1. Let f be v(-1). What is the lowest common multiple of 9 and 1 - (2 - f/(-2))? 18 Let z(x) = -x**3 - 6*x**2 + 5*x - 6. Suppose -w - 66 = -4*w. Suppose -u - w = -3*u. Calculate the smallest common multiple of u and z(-7). 88 Let g be 2 - (0 - 2588/(-1300)). Let i = g - 3259/975. Let v = 129689/12808 - 1/1601. Find the common denominator of v and i. 24 Let g = 3905791 + -17652995. Let l = -220094743/16 - g. Let m = l + 8721. Find the common denominator of 97/18 and m. 144 Let q = 0 + -1. Let o = 1 - q. Suppose -o*u + 35 = -5. What is the lowest common multiple of 20 and u? 20 Let r(g) = g**3 - 6*g**2 - 6*g - 5. Let l be r(7). Suppose -26 = 4*u - l. Let n = 2 - u. Calculate the smallest common multiple of n and 14. 56 Suppose 0*f - 192 = -2*f. Calculate the smallest common multiple of 2 and f. 96 Let m be ((-15)/(-10))/((-2)/4). What is the lowest common multiple of 10 and (-6 + 9)*(-2)/m? 10 Suppose t - 5*n - 10 = 48, 0 = -2*t - 2*n + 92. What is the smallest common multiple of t and 16? 48 Let m be (-4)/2*(-2)/4. Let h(p) = 15*p**3 - 2*p**2 + 1. What is the smallest common multiple of 18 and h(m)? 126 Let w be (-1 - -1) + (-12)/(-6). What is the common denominator of -109/6 and w/(-2*24/(-111))? 24 Let i = -463943/30 - -15468. Calculate the common denominator of -10/3 and i. 30 Suppose -6*m + 8*m = 3*c - 4, 3*c + 3*m - 9 = 0. What is the lowest common multiple of (2/5)/((-1)/(-5)) and c? 2 Find the common denominator of ((-21)/(-70))/((-3)/41) and -37/22. 110 Suppose -6 = -3*j - 3*d, 30 = 3*j + d - 6*d. Suppose 0 = -j*h + 3 + 7. What is the smallest common multiple of h and (1 - 0)*(1 + 1)? 2 Let l(w) = w + 15. Let g be l(-18). Find the common denominator of 12/35*(-5)/(-2) and (g/4)/(180/640). 21 Suppose -2*a = 8 + 4. Calculate the lowest common multiple of 6 + a*(-8)/(-12) and 20. 20 Let c = -43389/13 + 3335. Calculate the common denominator of 43/10 and c. 130 Let x be (1 - 9)/(2/(-68)). Let f = -2769/10 + x. Let y = 3765 + -30031/8. Calculate the common denominator of y and f. 40 Let m(w) be the first derivative of -w**4/4 - 2*w**3 - 3*w**2 + 5*w - 6. Calculate the smallest common multiple of 10 and m(-5). 10 Let z be (1204/(-35))/((-2)/40). Let o = z - 12391/18. What is the common denominator of 178/(-36) + -6 + 9 and o? 18 Let a(b) = b + 7. Let p be a(-6). What is the common denominator of 1 + p - 91/2 and -19/12? 12 Suppose 6*b = 4*b + 98. What is the least common multiple of 2 and b/14 + 3/2? 10 What is the least common multiple of 26 and (23/46)/(1*1/32)? 208 Find the common denominator of -103/12 and 2/(-10) - (-1082)/(-140). 84 Let q = 19 - -2. Suppose -q = -2*o + 1. What is the smallest common multiple of o and 6? 66 Let t(k) = -9082*k + 3. Let n be t(2). Let w = 91183/5 + n. Let c = w + -421/10. Find the common denominator of c and -25/18. 18 Let u = -8/297 - 2441/594. Let x = -36/1603 + -3572/411971. Let v = -16271/2570 - x. What is the common denominator of u and v? 110 Let z be (-8*66 - -3) + 3. Find the common denominator of -43/10 and (z/(-40))/9 - -2. 20 Suppose -d = -k + 2*k - 13, -5*k + 38 = -4*d. Calculate the smallest common multiple of k and 18. 90 Suppose -s = 3*g - 8, 5*s - g - 18 = -5*g. Suppose 2*q = -s*w, q - 2 = -0*q + w. What is the least common multiple of (q*(3 - 4))/(-1) and 7? 7 Let n = -6813/5 + 1373. Let s = 10 - n. Let g = 4/39 - 56/39. Find the common denominator of g and s. 15 Let m be (4 + -3)/(2/4). Suppose 2*w = -m*w - 8. Calculate the common denominator of -15/8 and 2 + w*17/(-9). 72 Let l = -106223/22 - -4825. Find the common denominator of 12/(-126)*(-99)/(-4) and l. 154 Let f(z) = -102*z - 2. Let j be f(-1). Suppose -j = -6*n + n. What is the lowest common multiple of n and 12? 60 Suppose 4 = -4*u, -5*y - 5*u = -y + 85. Suppose 3*l - 30 = -2*l. What is the common denominator of 146/y - 3/l and 36/5? 5 Let m be 12/(-30) - (-3)/(-5). Let w(v) = -10*v**3 - v**2 - 2*v - 1. Calculate the smallest common multiple of w(m) and 4. 20 Let m be (-6)/(-9) + 20/(-33). Let f = -41/132 + m. Find the common denominator o
{ "pile_set_name": "DM Mathematics" }
replacement from ccciqcqiqhciq. What is prob of sequence cqh? 5/429 Two letters picked without replacement from {h: 1, v: 2, y: 2}. What is prob of sequence vh? 1/10 Four letters picked without replacement from {a: 9, w: 6, d: 4}. Give prob of sequence awwd. 15/1292 What is prob of sequence vyv when three letters picked without replacement from yvvgfg? 1/60 What is prob of sequence ww when two letters picked without replacement from dgwmmwwwddwwq? 5/26 What is prob of sequence xiqq when four letters picked without replacement from iiiiiiiiidiiixdiqqi? 7/23256 Two letters picked without replacement from mthvy. Give prob of sequence yh. 1/20 Three letters picked without replacement from {r: 5, z: 1, c: 2, e: 1, u: 1, v: 3}. What is prob of sequence vzc? 1/286 Two letters picked without replacement from fylbyqyzqqfz. What is prob of sequence bq? 1/44 What is prob of sequence lxxl when four letters picked without replacement from {l: 4, x: 2, m: 2}? 1/70 Four letters picked without replacement from wwwrwrrwrh. Give prob of sequence wwhh. 0 Two letters picked without replacement from {i: 4, y: 1, p: 2}. Give prob of sequence yp. 1/21 Four letters picked without replacement from {a: 10, q: 1, o: 1, s: 1, z: 5, u: 1}. Give prob of sequence oaus. 5/46512 What is prob of sequence mzzp when four letters picked without replacement from emzmeeppeeppz? 2/2145 Calculate prob of sequence qqv when three letters picked without replacement from {g: 1, z: 1, v: 1, q: 2}. 1/30 What is prob of sequence vvv when three letters picked without replacement from svvvvvssvvvv? 21/55 Two letters picked without replacement from {q: 4, r: 3, p: 1}. What is prob of sequence rq? 3/14 What is prob of sequence sqs when three letters picked without replacement from hmqhhqqmesqhsehehq? 5/2448 Four letters picked without replacement from {c: 13, i: 5}. Give prob of sequence icci. 13/306 What is prob of sequence xw when two letters picked without replacement from xpxrrxw? 1/14 What is prob of sequence ns when two letters picked without replacement from {n: 1, k: 1, s: 1}? 1/6 Two letters picked without replacement from ndsnlsb. Give prob of sequence lb. 1/42 Four letters picked without replacement from {i: 4, j: 4, t: 6, l: 3}. Give prob of sequence llij. 1/595 Calculate prob of sequence jxl when three letters picked without replacement from ljpkljpjlxjhlll. 4/455 Two letters picked without replacement from ijlljwwelgwiwwj. Give prob of sequence ei. 1/105 Four letters picked without replacement from hzzsadzdazhxssh. Give prob of sequence zazh. 1/455 What is prob of sequence ammj when four letters picked without replacement from nllmjnlamslnml? 1/4004 What is prob of sequence aal when three letters picked without replacement from {l: 7, d: 1, a: 3, y: 6}? 7/680 Two letters picked without replacement from {s: 3, l: 1, m: 1}. What is prob of sequence ls? 3/20 What is prob of sequence ys when two letters picked without replacement from usy? 1/6 Two letters picked without replacement from ogwwkokkk. Give prob of sequence oo. 1/36 Four letters picked without replacement from bhehjzhzhhbzjeehbhh. What is prob of sequence hzzj? 1/969 Calculate prob of sequence qy when two letters picked without replacement from ykyyddkdqqkyq. 1/13 Four letters picked without replacement from {f: 2, z: 3, w: 6, l: 1, s: 1}. What is prob of sequence wzsw? 3/572 Four letters picked without replacement from ssfiqsssiscfi. Give prob of sequence sfii. 3/715 Calculate prob of sequence eee when three letters picked without replacement from eetxxtxxett. 1/165 Three letters picked without replacement from bbzobbwwmobb. What is prob of sequence wzw? 1/660 What is prob of sequence inpp when four letters picked without replacement from nipppippipiip? 7/572 What is prob of sequence ww when two letters picked without replacement from {w: 13, r: 3, k: 1}? 39/68 Calculate prob of sequence fhv when three letters picked without replacement from {t: 2, v: 1, z: 11, h: 1, f: 3}. 1/1632 Four letters picked without replacement from {y: 10, n: 6, w: 1, h: 1, d: 1}. What is prob of sequence ywhn? 5/7752 Four letters picked without replacement from {t: 6, z: 1, d: 10, b: 2, p: 1}. Give prob of sequence dtdb. 3/323 Three letters picked without replacement from {x: 3, e: 1, d: 1, l: 4, f: 4}. Give prob of sequence lfd. 4/429 Calculate prob of sequence zz when two letters picked without replacement from abbbaobbozbz. 1/66 Four letters picked without replacement from {l: 7, p: 11, m: 1}. Give prob of sequence plpp. 385/5168 Four letters picked without replacement from rrrqrrrq. Give prob of sequence rqrq. 1/28 Three letters picked without replacement from xzr. Give prob of sequence zrx. 1/6 What is prob of sequence ngwa when four letters picked without replacement from {w: 1, a: 1, n: 7, g: 8}? 1/1020 Four letters picked without replacement from {g: 1, o: 1, t: 1, q: 1, e: 3}. What is prob of sequence tgqe? 1/280 Three letters picked without replacement from awwddwaw. Give prob of sequence wdd. 1/42 Calculate prob of sequence ip when two letters picked without replacement from {h: 1, u: 1, i: 1, k: 1, p: 1, o: 2}. 1/42 Calculate prob of sequence iii when three letters picked without replacement from {i: 7}. 1 Calculate prob of sequence ny when two letters picked without replacement from wmymnnffwynmypynyy. 4/51 Four letters picked without replacement from {c: 5, z: 7, n: 2, m: 5}. Give prob of sequence mncn. 25/46512 Calculate prob of sequence iq when two letters picked without replacement from iiqiiiiiiiiqiiiiiii. 17/171 Four letters picked without replacement from {l: 3, n: 7}. Give prob of sequence llnn. 1/20 Two letters picked without replacement from dpddpdcdtdddtiddtd. What is prob of sequence ip? 1/153 Three letters picked without replacement from ylllllllllylyl. Give prob of sequence yll. 55/364 Four letters picked without replacement from {b: 2, c: 2, f: 1, s: 1, p: 1}. Give prob of sequence cbbp. 1/210 Three letters picked without replacement from oono. Give prob of sequence oon. 1/4 Four letters picked without replacement from xcncnxnnncncnc. Give prob of sequence cnxn. 5/286 Two letters picked without replacement from {g: 1, h: 2, z: 6, y: 4, x: 2}. What is prob of sequence xy? 4/105 Four letters picked without replacement from {f: 2, c: 2, i: 3, l: 5, b: 8}. What is prob of sequence iilc? 1/1938 Calculate prob of sequence kz when two letters picked without replacement from {b: 5, k: 13, z: 2}. 13/190 Two letters picked without replacement from {v: 1, s: 1, a: 8, k: 1, l: 1}. Give prob of sequence kv. 1/132 Three letters picked without replacement from {u: 1, b: 1, x: 1}. Give prob of sequence uux. 0 Two letters picked without replacement from {n: 5, c: 6, e: 2, q: 1, p: 2}. What is prob of sequence qp? 1/120 What is prob of sequence vv when two letters picked without replacement from ozozjzzjozvzzzzovo? 1/153 Three letters picked without replacement from dddnddddzdndnnzn. What is prob of sequence zdd? 3/70 Two letters picked without replacement from zzuzzzzuuz. What is prob of sequence uu? 1/15 Four letters picked without replacement from {e: 1, h: 8, c: 8}. Give prob of sequence eccc. 1/170 What is prob of sequence aika when four letters picked without replacement from {a: 3, i: 10, k: 2}? 1/273 What is prob of sequence zgm when three letters picked without replacement from {r: 9, y: 3, z: 3, m: 2, g: 2}? 2/969 Calculate prob of sequence zspz when four letters picked without replacement from {p: 1, s: 1, z: 3}. 1/20 Calculate prob of sequence bbn when three letters picked without replacement from cbblbclllnblllbnclll. 1/171 Two letters picked without replacement from {e: 1, k: 2, w: 3, g: 1}. What is prob of sequence ww? 1/7 Calculate prob of sequence es when two letters picked without replacement from {e: 3, h: 3, s: 2}. 3/28 Calculate prob of sequence lll when three letters picked without replacement from {v: 5, l: 11}. 33/112 Three letters picked without replacement from {t: 2, s: 1}. What is prob of sequence tst? 1/3 Three letters picked without replacement from {s: 6, i: 5, x: 1, z: 3, v: 2}. Give prob of sequence sss. 1/34 Calculate prob of sequence iwe when three letters picked without replacement from eiiewwe
{ "pile_set_name": "DM Mathematics" }
s divided by 49. 28 What is the remainder when 16382 is divided by 264? 14 Calculate the remainder when 190487 is divided by 17316. 11 Calculate the remainder when 560008 is divided by 15. 13 What is the remainder when 47235 is divided by 598? 591 Calculate the remainder when 1514 is divided by 130. 84 Calculate the remainder when 2893005 is divided by 161. 157 Calculate the remainder when 87059 is divided by 619. 399 Calculate the remainder when 385980 is divided by 96494. 4 What is the remainder when 839 is divided by 180? 119 What is the remainder when 4039 is divided by 435? 124 Calculate the remainder when 2931 is divided by 56. 19 What is the remainder when 16079 is divided by 640? 79 Calculate the remainder when 138744 is divided by 41. 0 What is the remainder when 26336 is divided by 17? 3 Calculate the remainder when 7582 is divided by 6. 4 What is the remainder when 1069737 is divided by 84? 81 Calculate the remainder when 39096 is divided by 1002. 18 What is the remainder when 107684 is divided by 353? 19 What is the remainder when 9067 is divided by 13? 6 What is the remainder when 4592 is divided by 763? 14 Calculate the remainder when 10062 is divided by 34. 32 What is the remainder when 800 is divided by 31? 25 What is the remainder when 95098 is divided by 75? 73 What is the remainder when 4812 is divided by 2291? 230 What is the remainder when 354056 is divided by 112? 24 Calculate the remainder when 460048 is divided by 175. 148 What is the remainder when 77513 is divided by 5? 3 What is the remainder when 78422 is divided by 99? 14 What is the remainder when 333493 is divided by 6? 1 What is the remainder when 73390 is divided by 2446? 10 Calculate the remainder when 48205 is divided by 23. 20 What is the remainder when 2666 is divided by 54? 20 Calculate the remainder when 3852 is divided by 102. 78 What is the remainder when 10252 is divided by 446? 440 Calculate the remainder when 547588 is divided by 7. 6 Calculate the remainder when 2980 is divided by 49. 40 What is the remainder when 2021 is divided by 1285? 736 Calculate the remainder when 4174 is divided by 58. 56 What is the remainder when 2708 is divided by 447? 26 What is the remainder when 35239 is divided by 51? 49 What is the remainder when 1624332 is divided by 407? 402 Calculate the remainder when 631 is divided by 283. 65 Calculate the remainder when 1392 is divided by 314. 136 Calculate the remainder when 37313 is divided by 812. 773 Calculate the remainder when 969511 is divided by 11. 4 Calculate the remainder when 131604 is divided by 636. 588 Calculate the remainder when 4498 is divided by 972. 610 What is the remainder when 429838 is divided by 20? 18 Calculate the remainder when 33053 is divided by 6. 5 Calculate the remainder when 174581 is divided by 4849. 17 Calculate the remainder when 724457 is divided by 93. 80 What is the remainder when 7174 is divided by 1186? 58 Calculate the remainder when 550 is divided by 105. 25 What is the remainder when 110415 is divided by 11040? 15 What is the remainder when 2016 is divided by 1008? 0 What is the remainder when 7446 is divided by 669? 87 What is the remainder when 1377 is divided by 1255? 122 Calculate the remainder when 12072 is divided by 47. 40 What is the remainder when 3106391 is divided by 213? 212 Calculate the remainder when 59149 is divided by 16. 13 What is the remainder when 1697867 is divided by 31? 28 Calculate the remainder when 311057 is divided by 1030. 1027 Calculate the remainder when 8493 is divided by 55. 23 Calculate the remainder when 1289 is divided by 119. 99 Calculate the remainder when 26594 is divided by 300. 194 Calculate the remainder when 17441 is divided by 4344. 65 Calculate the remainder when 146812 is divided by 248. 244 Calculate the remainder when 66358 is divided by 237. 235 Calculate the remainder when 8596 is divided by 1405. 166 Calculate the remainder when 1381 is divided by 156. 133 Calculate the remainder when 19511 is divided by 2436. 23 Calculate the remainder when 34892 is divided by 2906. 20 What is the remainder when 859 is divided by 141? 13 What is the remainder when 7869 is divided by 328? 325 Calculate the remainder when 28083 is divided by 446. 431 What is the remainder when 2748 is divided by 724? 576 Calculate the remainder when 1307568 is divided by 55. 53 Calculate the remainder when 2983 is divided by 2923. 60 What is the remainder when 13332 is divided by 27? 21 Calculate the remainder when 50489 is divided by 30. 29 What is the remainder when 111325 is divided by 18? 13 What is the remainder when 47244 is divided by 2942? 172 Calculate the remainder when 32295 is divided by 172. 131 What is the remainder when 604903 is divided by 33605? 13 Calculate the remainder when 86616 is divided by 82. 24 Calculate the remainder when 183705 is divided by 1371. 1362 Calculate the remainder when 339765 is divided by 66. 63 What is the remainder when 14630 is divided by 7282? 66 What is the remainder when 32434 is divided by 1412? 1370 Calculate the remainder when 20442 is divided by 352. 26 Calculate the remainder when 161827 is divided by 60. 7 What is the remainder when 16229 is divided by 396? 389 What is the remainder when 105512 is divided by 181? 170 What is the remainder when 43665 is divided by 625? 540 What is the remainder when 19931 is divided by 453? 452 Calculate the remainder when 76794 is divided by 15340. 94 What is the remainder when 165761 is divided by 2? 1 Calculate the remainder when 1922327 is divided by 18. 17 Calculate the remainder when 123156 is divided by 226. 212 What is the remainder when 68677 is divided by 340? 337 Calculate the remainder when 818882 is divided by 129. 119 Calculate the remainder when 2488003 is divided by 585. 583 Calculate the remainder when 36285 is divided by 226. 125 What is the remainder when 3274 is divided by 210? 124 Calculate the remainder when 2318 is divided by 590. 548 What is the remainder when 829 is divided by 119? 115 What is the remainder when 277702 is divided by 35? 12 What is the remainder when 11734 is divided by 559? 554 Calculate the remainder when 212932 is divided by 106436. 60 Calculate the remainder when 73272 is divided by 170. 2 What is the remainder when 10198 is divided by 3395? 13 Calculate the remainder when 12199 is divided by 113. 108 Calculate the remainder when 953 is divided by 474. 5 What is the remainder when 122898 is divided by 61449? 0 What is the remainder when 21537 is divided by 21526? 11 What is the remainder when 78685 is divided by 558? 7 Calculate the remainder when 5162 is divided by 77. 3 What is the remainder when 180803 is divided by 76? 75 Calculate the remainder when 847005 is divided by 204. 201 What is the remainder when 394 is divided by 119? 37 What is the remainder when 1690 is divided by 823? 44 What is the remainder when 227415 is divided by 25? 15 Calculate the remainder when 1480 is divided by 77. 17 Calculate the remainder when 114872 is divided by 196. 16 What is the remainder when 2792 is divided by 990? 812 What is the remainder when 24037 is divided by 317? 262 Calculate the remainder when 20723 is divided by 95. 13 Calculate the remainder when 18084 is divided by 2575. 59 Calculate the remainder when 3953 is divided by 788. 13 Calculate the remainder when 326050 is divided by 3432. 10 Calculate the remainder when 1433 is divided by 287. 285 What is the remainder when 1277 is divided by 521? 235 Calculate the remainder when 7849 is divided by 7672. 177 Calculate the remainder when 792394 is divided by 638. 636 Calculate the remainder when 2746 is divided by 865. 151 What is the remainder when 761 is divided by 50? 11 What is the remainder when 2560 is divided by 18? 4 What is the remainder when 4618653 is divided by 84? 81 Calculate the remainder when 36000 is divided by 1384. 16 Calculate the remainder when 1925249 is divided by 34. 33 What is the remainder when 1209 is divided by 6? 3 What is the remainder when 97324 is divided by 1947? 1921 Calculate the remainder when 2424 is divided by 117. 84 What is the remainder when 1377 is divided by 628? 121 What is the remainder when 182023 is divided by 164? 147 Calculate the remainder w
{ "pile_set_name": "DM Mathematics" }
(53 - 10))? 18 Suppose -20 = 5*b - k, -12 = b + 5*k + 18. Calculate the remainder when ((-16)/b)/(4/190) is divided by (124/(-16))/(2/(-8)). 28 Let h(z) = -5*z + z**2 - 9 - 26*z + 30*z. Calculate the remainder when 48 is divided by h(6). 6 Suppose 3*n + n = 16. Suppose 0 = -u + 3*h + 6, -23 = -u + 5*h - 15. Suppose -3*j = f - 68 - 26, u*f = -j + 34. Calculate the remainder when j is divided by n. 3 Suppose -a = -4*w + 289, -8*w - a - 143 = -10*w. Calculate the remainder when 2553 is divided by w. 71 Suppose 0*q + 879 = 3*q + 3*k, -2*k - 1136 = -4*q. What is the remainder when q is divided by 45? 17 Suppose -820 = -131*v + 111*v. Suppose 4*p - 402 = -3*o - 90, 3*p = -4*o + 234. What is the remainder when p is divided by v? 37 Suppose 3*z - 91 = -34. Suppose 3*f + z = 283. Suppose -169*n = 211 + 1089 - 6539. What is the remainder when f is divided by n? 26 Suppose -4*r - 4*u + 5*u = 27, -2*u + 14 = -3*r. Let g = 21 - r. Suppose -177*y = -33155 + 7844. What is the remainder when y is divided by g? 27 Let a(v) = 3*v**2 - 69*v + 436. What is the remainder when 21019 is divided by a(13)? 43 Suppose 0 = 7*f + 5*f. Let w be (1 + (f - 0))/(2/10). Suppose 20 = 2*p - 2*o + 3*o, o = -w*p + 47. Calculate the remainder when 25 is divided by p. 7 Let m(o) = o**2 - 1. Let k(b) = -5*b**2 + 29*b + 56. Let s(x) = -k(x) - 6*m(x). Calculate the remainder when s(-20) is divided by 27. 22 Suppose 1 = -3*h + 4*h. Suppose -3*p + 0*p + 3*b = -579, -4*p = -2*b - 782. Suppose 4*i + 190 = p. What is the remainder when i is divided by h? 0 Suppose 2*k + 68 = 3*p, 3*k - 4 = k. Let l be (p/150*-5)/((-2)/(-35)). Calculate the remainder when 41 is divided by 340/14 - ((-46)/l - 3). 17 Calculate the remainder when (6/4 - 1)/((-7)/(-1862)) is divided by 62. 9 Let a = -6427 + 6442. What is the remainder when 388 is divided by a? 13 Let u = 9373 + -9113. Calculate the remainder when u is divided by 72. 44 Suppose -3*j + 4*c = -478 - 494, 2*j - 5*c = 648. Calculate the remainder when j is divided by 25. 24 Let o(m) = -m**2 + 32*m - 195. What is the remainder when 124 is divided by o(20)? 34 Let i = -41 + 19. Let o = 31 + i. Let j(d) = -5*d**2 + 1204*d - 926. What is the remainder when j(240) is divided by o? 7 Calculate the remainder when (174/(-5))/(268/(-67670)) - 5 is divided by 24. 22 Let l = -27 - -26. Let f = -1 - l. Calculate the remainder when -1*(-41 + f) + -1 + 1 is divided by 15. 11 Suppose 4*z + 290 - 702 = 864. Calculate the remainder when z is divided by 56. 39 Let t = 406 - 382. Suppose -t = 2*v - 28. Calculate the remainder when 15*(1 + 2 + -2) is divided by v. 1 Let k = 83 - 80. Let n(l) = 8 + 6 + 7*l - k*l + l. What is the remainder when 83 is divided by n(3)? 25 Let x = 50 + -30. Let q(p) = 534*p + 1243. What is the remainder when q(-2) is divided by x? 15 Let x = -40 + 32. Let h be x/6*351/(-3) + -1. Suppose 0 = -5*i + 440 - h. Calculate the remainder when i is divided by 23. 11 Let v(p) = p**2 - p + 88. Let l(o) = -188*o - 1673. What is the remainder when v(0) is divided by l(-9)? 12 Suppose -102*o + 3770 = 104*o - 193*o. Calculate the remainder when o is divided by 25. 15 Let m = -220 - -421. Suppose 3*v - m = -63. Let t = -38 + v. What is the remainder when 29 is divided by t? 5 Suppose -3*f = -10*f + 5348. Suppose f = 9*n - 100. Suppose 99 = -93*m + n*m. Calculate the remainder when m is divided by 10. 3 Suppose -84*n - 100*n - 4*n + 3948 = 0. Suppose -20 = -4*c, 5*l + 2*c + 2*c - 725 = 0. Calculate the remainder when l is divided by n. 15 Let a(s) = s**3 - 10*s**2 + 8*s + 8. Let w be a(8). Let q = w - -78. Suppose q*j - 18*j - 24 = 0. What is the remainder when 15 is divided by j? 3 Suppose -4*c = -6*c - 58. Let y = -16 - c. What is the remainder when 350 is divided by y? 12 Suppose 0 = 2*r - 14. Let g be 5 - (-5)/(-30)*-2*-3. Calculate the remainder when (-114)/(-3)*g/8 is divided by r. 5 Let g = -54 + 84. Let l be -2 + g/5 - 0/1. Suppose 5*i - 493 = l*r, -4*i = r + r - 410. Calculate the remainder when i is divided by 34. 33 Suppose -97 = 4*o - 761. Let m = 19848 + -19831. What is the remainder when o is divided by m? 13 Let q(y) = -71*y - 30. What is the remainder when 6312 is divided by q(-1)? 39 Suppose 33*q - 23226 + 5589 = 23448. Calculate the remainder when q is divided by 409. 18 Suppose -36*x = -11264 + 8492. What is the remainder when 986 is divided by x? 62 Suppose -c - 21533 = -21819. What is the remainder when c is divided by 65? 26 Suppose -20 = -4*d, 5*d - 4*d = 3*k - 1468. Let y = k - 460. Calculate the remainder when y is divided by -2 + 0 + 21 + -2. 14 Calculate the remainder when 80/32*((-1 - 3) + 1144/20) is divided by 38. 19 Calculate the remainder when 6152 is divided by (6435/1716)/(10/432). 158 Let u(d) = -d**2 + 31*d - 200. What is the remainder when 526 is divided by u(10)? 6 Suppose -26 - 10 = -4*u. Suppose 0 = -2*r + 8*r. Suppose 3*h - 45 - 60 = r. Calculate the remainder when h is divided by u. 8 Suppose z - 45 = -2*k, -5*z + 183 = -23*k + 19*k. Calculate the remainder when z is divided by 25. 14 Suppose 3*f - 5*s + 947 = 2586, 2*f = -5*s + 1126. Let d = f + -192. What is the remainder when d is divided by 13? 10 Let g(q) = 14*q**3 - q + 1. Let j(x) = -x**2 - 28*x + 350. Let i = 2236 - 2273. Calculate the remainder when j(i) is divided by g(1). 3 Suppose 90 = -12*x + 6*x. Let q be -5*(-6)/(-9)*x/10. Suppose 3*i + 9 - 90 = -4*m, q*m = 0. What is the remainder when 161 is divided by i? 26 Let p = -20 + -3. Calculate the remainder when (-16)/32 + p/(-2) + 0 is divided by 6. 5 Let v(w) = -w - 1. Let l be v(-4). Suppose 3*q = 6*q - 81. What is the remainder when q is divided by (36/21)/(l - 38/14)? 3 Let o(u) = u**3 - 145*u**2 + 429*u - 181. What is the remainder when 643 is divided by o(142)? 153 Suppose -3*i - 4*i = 0. Suppose i = 5*g - 1193 + 148. What is the remainder when g is divided by 21? 20 Let g = 309 - 274. Suppose 5*r + 203 = -w, -10 = -r - 5*w - 65. Calculate the remainder when -18*g/r*32/6 is divided by 44. 40 Let z(p) = 70*p**3 + p**2 - 4*p + 2. Let q be z(1). Suppose 79*u - q*u - 2470 = 0. Calculate the remainder when u is divided by 8. 7 Let k be ((-6)/(-2) - (3 - -667)) + -5. Let o = 721 + k. Calculate the remainder when o is divided by 17. 15 Let a = 61 - 65. Let j(c) = -3*c - 8. Let l be j(a). Suppose l*s - 302 = -2*v, 0*s = -3*s - 3*v + 219. Calculate the remainder when s is divided by 16. 14 Suppose 5*k - 18*k = -5*k - 352. What is the remainder when 1890 is divided by k? 42 Suppose 124 - 40 = 4*u. Suppose -3*p + u = 4*p. Calculate the remainder when 33 is divided by 4*p/4*2. 3 Suppose -22*v = 2523 - 6791. Calculate the remainder when 1528 is divided by v. 170 Suppose 0 = -14*l + 23 + 47. Suppose -4*h - 42 = -l*t + 300, -3*t = 3*h - 216. Calculate the remainder when 137 is divided by t. 67 Suppose -2*j + j - 10 = -3*w, -4*w + 5*j = -28. Suppose w*u + 5*z - 1382 = -499, 2*u - 4*z = 874. What is the remainder when u is divided by 63? 61 Let y = 6517 - 6032. Calculate the remainder when y is divided by 16. 5 Let c(x) = 2*x**2 + 24 - 39*x**3 + 40*x**3 + 5*x - 11*x**2. Let m be c(8). Let q = m - -50. What is the remainder when q is divided by 28? 22 Suppose 20*d - 8*d - 1416 = 0. Calculate the remainder when d is divided by (-8)/(4 + -5) + 4. 10 Let r be 14 + 15 + (-1 - -1). Let w be -15 + 16 + (0 - -72). Suppose 4*v + r - w = 0. Calculate the remainder when 63 is divided by v. 8 Suppose -3*w = 3*b - 597, -5*b + 5*w + 985 = -0*w. Calculate the remainder when b is divided by 2. 0 Suppose 13 = -i + 4*h, -i + 5*h = 9*h - 27. Suppose d - i*d = -180. Calculate the remainder when d is divided by 18. 12 What is the remainder when 1985 is divided by 3*(-1077)/(-45) - 6/75*10? 68 Let i(c) = -169*c - 627. Calculate the remainder when 391 is divided by i(-4). 48 Let w(y) = -11*y + 226. Let o(p) = -3*p + 76. Let x(v) = 8*o(v) - 3*w(v). What is the remainder when 1289/9 - 4/18 is divided by x(11)? 27 Suppose b - 121 - 87 = 0. Suppose -b*s + 139 = -207*s. Calculate the remainder when s is divided by 3. 1 Suppose -543 + 71 = -4*w + 2*a, 5*a = 5*w - 580. What is the remainder when 578 is divided by w? 98 Let o(n) = -4 - 2*n**3 + 13 - 6 - 8*n - 7*n**2 + 0. Calculate the remainder when o(-7) is divided by 31. 30 Let y be ((-16)/
{ "pile_set_name": "DM Mathematics" }
0*v - 1, -24 = -2*v + h*f. Let c be z(v). Solve 2*y - 5*n = -5, c*y - 4*n = -9 - 12 for y. -5 Suppose 0 = 5*b - 2*b + 4*j - 49, -2*b - j + 31 = 0. Let i = b + -13. Suppose -12*x + 42 = i*x. Solve -c - 19 = -4*q, 2*q = -x*c - 2*c + 15 for q. 5 Let u be (-372)/(-21) + 7 + 4/14. Suppose -u*t = -15*t - 40. Solve -5*m - 10 = 0, -2*x + 2*m - m = -t for x. 1 Suppose 12*m - 131 = 63 - 2. Solve 0 = -3*r - 3*l + 15, 5*r + 3*l - m = 5 for r. 3 Let i(b) = -3*b**3 - b**2 - 34*b - 65. Let z be i(-2). Solve -z*f = 5*j - 26*f + 4, 3*j - 3*f = -6 for j. 1 Suppose -4*s + 5*r = -6*s + 6, 25 = s - 3*r. Solve l + s = g + 5*l, 2*g - 3*l - 4 = 0 for g. 5 Suppose -13 + 39 = 2*j. Suppose 3*x - 3*a + 6 = 0, 0*x + 4*x + 2*a - 4 = 0. Suppose x = -5*c + 2 + 13. Solve -4*g = g + p - j, c*g - 5*p = -9 for g. 2 Let q = 2236 - 2221. Solve 2*n - n + f = 9, q = 3*f for n. 4 Let f = -3549 + 2352. Let j be 2*1/9 + (-6916)/f. Solve 0 = 5*d - q - 15, -d + 5 = -j*d + 5*q for d. 4 Let k be ((-410)/(-70) + -6)/((-2)/182). Suppose -k*h - 2*h = -2*h. Solve t - 2 = h, 2*t + 0 = -2*c - 2 for c. -3 Suppose 3*q = 4*x - 154, 0 = q - 3*q - x - 88. Let k = 101 + q. Let o = -52 + k. Solve -2*z - 4*l - l - 17 = 0, 0 = -o*z - 4*l - 8 for z. 4 Suppose 4*i = -2*t + 38, -5*i - 7 = 3*t - 64. Let d(w) = -3*w**2 + 49*w + 0*w**2 - 9 - 4 - 7 + 7. Let o be d(16). Solve o*c = l + 9, 7*l - t = 2*l - c for l. 3 Suppose 11*l + 109 = 395. Suppose 7*b = -2*z + 6*b + 8, -5*b + l = 3*z. Solve 0*j - 18 = -5*n - 4*j, 0 = 2*n - z*j for n. 2 Let q(t) = 6*t**2 + 14*t - 7. Let l be q(-3). Let f be 1/7 + 1/(-7). Solve f = -4*v + v + r - 9, -r = -2*v - l for v. -4 Let p(m) be the third derivative of m**5/30 - m**4/2 + 17*m**3/6 + 2*m**2 + 34*m. Let i be p(2). Solve q + 4 = i, 3*k = -q - 3 for k. 0 Let d be ((-1)/2)/(15/150) - -9. Solve d*k + 4 = 0, -k = v + 3*k + 2 for v. 2 Let q be 5/((-10)/(-4)) + -1. Let s = 3 + 6. Suppose 5*f + 8 = s*f. Solve d = -4*t - 22, q = t - 4*d - f for t. -5 Suppose 0*u = 13*u - 91. Suppose -14*p = -10*p - u*p. Solve 5*m - 4*a = -15 - 16, p = -3*m + a - 13 for m. -3 Let t = 360 + -239. Suppose 6*g - t = -67. Solve 9 = 4*w - 4*h - 3, g = 3*w - 2*h for w. 3 Let g(f) = -13*f + 665. Let i be g(51). Solve -i*c - 2*c = -2*l, -4*l - 5*c - 13 = 0 for l. -2 Let q(k) = 2*k**2 - 170*k + 2450. Let z be q(68). Solve 136*p + 10 = z*p - 3*u, -5*u - 19 = -p for p. -1 Let a = -221 - -229. Suppose -32 = 5*z - 62. Solve 4*b + z = -5*i - 4, a = -4*i + b for i. -2 Let c(x) = x**3 + 6*x**2 - 11*x - 5. Let h be c(-7). Suppose h*w - 8*w = 75. Let j = 18 + -16. Solve 2*a + 2*t + 0*t = 0, -j*a + w*t - 28 = 0 for a. -4 Let q = -319 + 323. Suppose -j + 18 = q*l + j, j = l. Solve 0*x + 17 = -3*x + 2*d, -3 = -3*x - l*d for x. -3 Let o = -4496 - -4499. Solve 2*i + 12 = 6*i, 3 = -3*s - o*i for s. -4 Suppose -118 = -62*n + 130. Let o be 1/(-1) - -5*1. Solve 8*k - 11 = o*k + 3*q, -n*q = -3*k + 10 for k. 2 Suppose 5*y = -5*i + 25, 3*i + 9 = 2*y + 24. Solve 0 = 3*u + 3*b - 9, 3*u + 5*b - 9 = -y*b for u. 3 Let c = 2839 + -2837. Solve -10 = -c*v - 3*n, 3*v - 7*v + 4*n = -20 for v. 5 Suppose -3*b = 2*b - 10. Let u(r) = -r + 7. Let v be u(11). Let n = 11 + v. Solve -2*m + 2*d = -2, n*m - 4*m = b*d + 3 for m. 1 Suppose 0 = -86*b + 51*b + 132*b + 106*b. Solve d - 2*l + 29 - 21 = b, -5*d + 3*l = 12 for d. 0 Let k(l) = l**3 + 15*l**2 + 3*l - 36. Let h be k(-15). Let w be (5/1)/(9/h*-9). Solve 10 = c - w*p, 2*p = -5*c - 1 - 3 for c. 0 Let n = 2675 + -2671. Solve -5*i - 25 = 5*q + 5, -n*i = 5*q + 26 for q. -2 Suppose 25*v + 2226 - 101 = 0. Suppose -2*f = 2*o + 3*o - 39, 4*f + 12 = 0. Let r be v/(-20) - o/(-12). Solve -3*w - 5 = -t, -r*w - 3*t = -w - 15 for w. 0 Suppose -2*b + 6 = 2*m, 5*b - 7 = 2*m + 1. Let l = 1671 - 1668. Suppose h - 9 = -5*k, -l*k + 7 = h + b. Solve 4 = k*q - 2*i, -3 = 2*q - 3*i - 9 for q. 0 Let v(a) = a - 14. Let n be v(10). Let p be ((-6)/(-4))/(n/(-8)). Let k = -5894 + 5896. Solve -3*y + p*u = -3 - 15, -3 = y + k*u for y. 3 Let h be (-3)/((792/32)/(-33)). Solve 0 = h*d - 5*z + 4, 6*d - d = 4*z + 4 for d. 4 Suppose 4*v - 65 = -7*v - 21. Solve -1 - 23 = v*a + x, 2*x = 4*a + 12 for a. -5 Let h(y) = -108*y**2 - 1080*y + 2. Let w be h(-10). Solve o = -w*l + 2, 0 = 26*l - 29*l + o + 3 for l. 1 Let y be 0*(6/4)/((-36)/24). Suppose -21 = -7*u - y*u. Solve u*m - 2*d + 7 = 0, -3*d + 22 = 2*m + 5 for m. 1 Let y(j) = 7*j**2 - 41*j. Let b be y(8). Let h = 127 - b. Solve -4*q - 10 = -2*x, 0 = -4*x + h*x - 9 for q. -1 Let o = 9 + -4. Let i(q) = 17*q**2 - q + 81. Let w be i(0). Let f be 2/6 + (-27)/w. Solve -o*k + 0*p = -2*p, 3*p = f for k. 0 Let m be (4 + -1)*696/1044. Solve -5*u = m*k, 43*u + 3*k = 42*u - 13 for u. 2 Suppose -3 = 5*w - h, 10 = -5*w - 4*h - 3. Let z = 1 + w. Suppose 3*u - 40 = -5*t - z*t, -4*u + 5 = -3*t. Solve -u*p - 5 = -4*f, 0 = 4*p - 1 + 21 for f. -5 Suppose -11*o + 148 - 126 = 0. Solve 3*z - 28 = 5*j, -19 = 4*j - o*z + 3*z for j. -5 Let i be 2/(2 + 0) - (-13 + 32). Let j = -9 - i. Suppose 2*z = -z + j. Solve z*b = -3*s + 2 - 26, 3*s = 2*b + 1 for s. -3 Let o(v) = v**3 - 4*v + 14. Let h be o(0). Solve -12*l + 7*l + 3*a + 31 = 0, -h = -4*l - 3*a for l. 5 Suppose 3*x - 5*i - 47 = 0, 8 = 3*i - 5*i. Suppose 16 = 61*v - 167. Solve -5*m - x = 3*s + 4, -m - s - v = 0 for m. -2 Let t be 4896/64 + (-14)/(-4). Suppose 22*m = 190 - t. Solve 3*h - 5*j = h + 21, -m*h = 3*j - 6 for h. 3 Let c be 5 - (-1 + 4) - -5. Suppose -4*n = 2*u - 19 - c, 4*n = -5*u + 71. Solve -3*l - 15 = -3*o, -5*o + l + u = 6*l for o. 4 Suppose -449*c + 11883 = 4250. Solve -4*a = -21*q + c*q + 8, q = 4*a + 23 for a. -7 Let c = -707 - -775. Let t be (-3)/4 + (-17)/c - -4. Solve 0 = g - t, 3*g = -0*x - 5*x - 1 for x. -2 Let l(k) = -21*k - 152. Let y be l(-18). Let w = -214 + y. Solve 6 = 3*c - n + 2, -5*c - n + w = 0 for c. 2 Suppose 3*z = -2*z + 5*p, -5*p + 8 = -3*p. Solve 25 = r + z*v, -3*r - 2*r = 4*v - 45 for r. 5 Suppose 0 = 7*f - 25*f. Suppose k - 14 + 9 = f. Solve -4*q - 3*r + 12 = -9*q, -5*r + 20 = k*q for q. 0 Let i = 73262 + -73257. Let j be (-31)/(-11) - 6/(-33). Solve j*t - a = 9, t + t + i*a + 11 = 0 for t. 2 Let z(g) = -2*g**3 + 19*g**2 - 35*g + 237. Let q be z(9). Solve -q*i + 4*f = 8, -i + 175 = -5*f + 174 for i. -4 Suppose 6*t - 6 = 48. Solve -5*m + 12 = -3*y - 2, t = 3*m - 2*y for m. 1 Suppose 16*x = 20*x - 20. Let a be 16/10 + -2 + 57/x. Solve -3*y = 2*b - 1, -2*b - 3 + a = -4*y for b. 2 Suppose -86*j + 2 + 38 = -132. Solve 2*r = 7*r - 5*y, j*y = 6 for r. 3 Suppose -o = -4*i + 467 + 505, 4*i = 12. Let h = o + 973. Solve 0 = -5*q + 3*x + 24, -x - 2 = -4*q + h for q. 3 Let a(c) = 4*c**2 - 8*c + 5. Let h be a(2). Suppose 25 = 2*o + h*v - 8, -o = -v - 6. Solve 0 = 2*z + 5*w + 27, -2*z = -3*z + 2*w + o for z. -1 Let m(k) = 2*k**3 - 10*k**2 - 12*k + 6. Let v be m(6). Suppose 40 = -v*c + 14*c. Solve -l - c = 3*y - 1, -y - 2*l + 7 = 0 for y. -3 Suppose 138*r + 5 = 120*r + 41. Solve 13 + 11 = -4*d - 4*u, 3*u + 8 = r*d for d. -2 Let v = 418 - 412. Suppose w - v = -w. Solve -4*i = -y + 11, i + 7 = w for y. -5 Suppose -2*m + 10 = 2*l, -32 = 5*m - 57. Solve l = 2*b, -b = -4*o - o + 25 for o. 5 Let h(x) = -x**2 - 16*x - 57. Let p be h(-6). Let y be 10/25 - (-36)/(-15). Let j = 3 - y. Solve 0*o - 4*o = 16, j*i - p = -3*o for i. 3 Suppose 101 = 4*m + n, -5*m + 816*n - 821*n + 130 = 0. Solve -2*i = -4*h - i + 1, -5*i = m for h. -1 Suppose -435*h + 1065 + 855 = -255. Solve -b + 2*l + 18 = 3, -h*b + 40 = -3*l for b. 5 Let j(g) = g**3 - 6*g**2 - 28*g + 171. Let a be j(6). Solve -7*u - 13 = -10*u - 5*y, a*u = 3*y - 27 for u. -4 Let j be 2/(-6) - 263/3. Let l = 6114 - 6214. Let h = j - l. Solve -3 = 5*z - 4*o, 0 = z + 7*o - 4*o + h for z. -3 Let x be 45*((-17)/(-33) - 12/66). Let j(q) = q**3 - q**2 - q + 3. Let a be j(2). Solve -15 = -a*s + 4*o, -s - 4*s + x = o for s. 3 Suppose 78*u - 134 = 4*h + 73*u, 0 = -2*h + 3*u - 66. Let s(c) = -16*c - 2. Let a be s(2). Let y = a - h. Solve l - w - y = -3, l - 3*w - 1 = 0 for l. -2 Suppose 173*m - 205 = 18*m + 105. Solve x + 3 = m*f + 17, -3*x - 2*f = -2 for x. 4 Suppose 0 = -11*c + 4*c - 56. Let v be 28/c*(-12)/21. Suppose -2*l + 0*l = v*n + 2, l = -3*n + 3. Solve n*y - 11 = -d, 0*y + 2*d = 4*y - 18 for y. 5 Suppose -19*b + 28*b = -189. Suppose 3*u + 14 = 5. Let n = u - b. Solve -5*v + 3*t - t = 20, 4*t - n
{ "pile_set_name": "DM Mathematics" }
(5) + 2)**2*-4. -96 - 32*sqrt(5) Simplify 0 + (sqrt(153) + 0)**2. 153 Simplify (5*-4*sqrt(252)*-1)**2. 100800 Simplify ((sqrt(35) + sqrt(35)*2)*6)/sqrt(5). 18*sqrt(7) Simplify (-4*(sqrt(187) - sqrt(187)*-1))/sqrt(11). -8*sqrt(17) Simplify ((-1 + sqrt(3)*1 - (sqrt(432) - (2 + sqrt(432)) - sqrt(432)))*2)**2. 104*sqrt(3) + 2032 Simplify (sqrt(66)*-1)/sqrt(6)*-2. 2*sqrt(11) Simplify (sqrt(12)/((2*sqrt(24))/sqrt(6)))**2. 3/4 Simplify -1*(sqrt(63)*-1)/sqrt(9). sqrt(7) Simplify 5 + (sqrt(272)*1 - sqrt(272)) + 0. 5 Simplify (sqrt(19) - (4 + sqrt(1539)))*1. -8*sqrt(19) - 4 Simplify (sqrt(304) - sqrt(304)*2) + 1. -4*sqrt(19) + 1 Simplify sqrt(1800) - (sqrt(2)*5 + -1). 1 + 25*sqrt(2) Simplify (sqrt(52) - sqrt(13)) + -4 + sqrt(13) + 5. 1 + 2*sqrt(13) Simplify -2 + 5*sqrt(5)*1 - (sqrt(5) - -3*(sqrt(5) + 1))*2. -8 - 3*sqrt(5) Simplify ((-4 + (-1 + sqrt(1584) - sqrt(1584) - sqrt(1584)) + 1)*-4)**2. 1536*sqrt(11) + 25600 Simplify (sqrt(76)*3 - sqrt(76))/sqrt(4) - (-5 + sqrt(2736))**2. -2761 + 122*sqrt(19) Simplify ((sqrt(1584)*-1*6 + sqrt(1584) - ((1 + sqrt(1584))*5 + sqrt(1584))) + -1)**2. 1584*sqrt(11) + 191700 Simplify (1 + sqrt(475))**2*-5 - sqrt(475). -2380 - 55*sqrt(19) Simplify 1 + (sqrt(11) + 1 - sqrt(11)) + 2*sqrt(891). 2 + 18*sqrt(11) Simplify -1*sqrt(80) - (-2*sqrt(50))/sqrt(10). -2*sqrt(5) Simplify (1*sqrt(567)*-1 - ((sqrt(567) - (0 + sqrt(567))) + -2))**2. -36*sqrt(7) + 571 Simplify (1 + sqrt(6)/sqrt(3) - sqrt(64)/sqrt(2)) + sqrt(18) + -3 + 4. 2 Simplify -2*3*sqrt(11) + 1 + (sqrt(11) + -2)**2 + 1. -10*sqrt(11) + 17 Simplify (-4 + sqrt(468) + sqrt(468))**2 + sqrt(3900)/sqrt(3). -86*sqrt(13) + 1888 Simplify (5*(sqrt(539) + sqrt(539) + sqrt(539) + 0) - -6*(1 + sqrt(539)))**2. 1764*sqrt(11) + 237735 Simplify (sqrt(189)/sqrt(112))**2. 27/16 Simplify ((sqrt(104) - (sqrt(104) - (-1*sqrt(104) + sqrt(104)))*1)/(4*sqrt(16)/sqrt(2) - sqrt(8)))**2. 0 Simplify (-2*sqrt(11)*3)**2 - (sqrt(11) - 6*sqrt(88)/sqrt(8))**2. 121 Simplify (sqrt(198) + -2*sqrt(198))/sqrt(11). -3*sqrt(2) Simplify 4*sqrt(60)/sqrt(3). 8*sqrt(5) Simplify ((6*sqrt(136)*1)/(sqrt(80)/(sqrt(10)*-2)))**2. 2448 Simplify (sqrt(66)/(sqrt(18)/sqrt(3)))**2 + -1. 10 Simplify (sqrt(13) - (-5 + sqrt(13) + 3) - sqrt(13) - (sqrt(78)/sqrt(6)*2 - sqrt(13)))**2. -8*sqrt(13) + 56 Simplify -5*sqrt(13)*1 - ((sqrt(13) + 0 - sqrt(13)) + 2)**2. -5*sqrt(13) - 4 Simplify ((-2*(sqrt(77) - sqrt(77)*-3))/(sqrt(11) + (sqrt(22)/(sqrt(2) - sqrt(2)*-3) - sqrt(11)) + sqrt(11)))**2. 7168/25 Simplify (sqrt(448) + -5*(sqrt(448) + -2) + sqrt(448))**2 + 0. -480*sqrt(7) + 4132 Simplify 0 + 4*(sqrt(136)*3)/sqrt(8). 12*sqrt(17) Simplify (2*(-2 + sqrt(1584)))**2. -192*sqrt(11) + 6352 Simplify 4*(-1 + 3*sqrt(8) + sqrt(2)). -4 + 28*sqrt(2) Simplify -1 + 2 + -1*sqrt(567). -9*sqrt(7) + 1 Simplify ((sqrt(85)*-1)/sqrt(5))**2 + sqrt(153) + -3. 3*sqrt(17) + 14 Simplify -1*-4*1*sqrt(5)*-1. -4*sqrt(5) Simplify ((5*(sqrt(117) - sqrt(117)*2) - sqrt(117)) + sqrt(117))/(-5*sqrt(36)/sqrt(4)). sqrt(13) Simplify 3 + -6*sqrt(2) + sqrt(20)/(-6*sqrt(10)). -37*sqrt(2)/6 + 3 Simplify -5*(sqrt(1377) + -2)**2 + 1. -6904 + 180*sqrt(17) Simplify (-2 + sqrt(1300) + 1 - 1*sqrt(1300)*1)**2. 1 Simplify (sqrt(637) + (-2 + sqrt(637) + sqrt(637) + sqrt(637) + 1 - sqrt(637)) + sqrt(637) - sqrt(637)) + -3*(2*sqrt(637))**2. -7645 + 21*sqrt(13) Simplify (-6*-4*sqrt(44))/sqrt(4). 24*sqrt(11) Simplify (sqrt(112)/sqrt(4))**2 + sqrt(28) + (sqrt(1008) + 3*sqrt(1008))**2. 2*sqrt(7) + 16156 Simplify (3 + sqrt(192) + 1 + sqrt(192))**2 - (1 + -1*sqrt(192)). 136*sqrt(3) + 783 Simplify (5*(sqrt(637) - (sqrt(637) + 0 - sqrt(637))*-4))**2. 15925 Simplify (sqrt(156) - (-2*(sqrt(156) + (sqrt(156) - -2*sqrt(156))) + sqrt(156)) - sqrt(156))/((sqrt(132) - sqrt(132)*2)/sqrt(11) + sqrt(12) - sqrt(12)). -7*sqrt(13) Simplify sqrt(68)/((sqrt(4) - sqrt(144))*1). -sqrt(17)/5 Simplify sqrt(125)*-2*-5. 50*sqrt(5) Simplify 1 + 4 + 0 + sqrt(153)/sqrt(9) + sqrt(17). 5 + 2*sqrt(17) Simplify (sqrt(28) + 1 + (sqrt(7) - (-1 + sqrt(7) + -1))**2)*3. 15 + 6*sqrt(7) Simplify (-4*sqrt(325)*-1)**2. 5200 Simplify (((-2*sqrt(171)*1 - sqrt(171)) + sqrt(171))/(6*sqrt(27)/sqrt(3)))**2. 19/9 Simplify (sqrt(39)/(sqrt(3) - 2*sqrt(3)) + (sqrt(13) - (sqrt(637) + 1 - sqrt(13))))**2. 12*sqrt(13) + 469 Simplify sqrt(18)*-4 - (sqrt(2) - 5*sqrt(14)/sqrt(7)). -8*sqrt(2) Simplify (5*sqrt(36)/sqrt(2) - sqrt(18))/(-3*sqrt(225) + sqrt(225) - sqrt(225) - sqrt(9)). -sqrt(2)/4 Simplify ((sqrt(98) + -5*(sqrt(98)*-1 - sqrt(98)) - sqrt(98) - (-1 + sqrt(98) + 0))*-3)**2. 1134*sqrt(2) + 71451 Simplify (sqrt(10) + sqrt(80)/sqrt(128))/(sqrt(405)*-1) + 1. -5*sqrt(2)/36 + 1 Simplify sqrt(38)/(sqrt(32)*-6). -sqrt(19)/24 Simplify (1 + -2*3*sqrt(175))**2. -60*sqrt(7) + 6301 Simplify 5 + (2 + (sqrt(17) - sqrt(833)))**2. -24*sqrt(17) + 621 Simplify (-1*sqrt(500) + -4)**2 + 5. 80*sqrt(5) + 521 Simplify -3*(sqrt(119)/sqrt(7))**2 + -3. -54 Simplify sqrt(128) - (4 + 3*sqrt(128)). -16*sqrt(2) - 4 Simplify (sqrt(13) + 3 + 2)**2 + (sqrt(1872) - (sqrt(1872) + 3*sqrt(1872)))**2. 10*sqrt(13) + 16886 Simplify (sqrt(288) - sqrt(288)*1) + -3. -3 Simplify (sqrt(55) - ((sqrt(55) - sqrt(110)/sqrt(2)) + sqrt(55) - sqrt(55)))/sqrt(5) - (-2*sqrt(22)/sqrt(2) - sqrt(11)). 4*sqrt(11) Simplify (6*sqrt(12)/sqrt(4) - 2*sqrt(12))**2. 12 Simplify (1*sqrt(70)/sqrt(2))/((sqrt(168)/sqrt(3))/sqrt(8)). sqrt(5) Simplify -5 + -1 + 4 + sqrt(7)*2. -2 + 2*sqrt(7) Simplify (sqrt(39) + sqrt(39) + sqrt(351)/(2*sqrt(9)))/((2*sqrt(15))/sqrt(5)). 5*sqrt(13)/4 Simplify ((sqrt(300) + (2*sqrt(300) - sqrt(300)) + sqrt(300))*2)**2 + 0 + (sqrt(300) - (1*sqrt(300))**2). 10*sqrt(3) + 10500 Simplify (sqrt(432)/(-4*sqrt(12)))/(sqrt(12)*-4*-1). -sqrt(3)/16 Simplify -3*(sqrt(19) + (-3*sqrt(76))**2). -2052 - 3*sqrt(19) Simplify (sqrt(3) + -4 + sqrt(3) + sqrt(15)/sqrt(5) - (sqrt(3) - sqrt(243)/sqrt(9)))**2. -40*sqrt(3) + 91 Simplify 0 + -3 + (0 + sqrt(19) + -4)**2. -8*sqrt(19) + 32 Simplify (3 + sqrt(80) + 2 - sqrt(80))**2 + sqrt(80). 4*sqrt(5) + 25 Simplify -3*sqrt(304)*5*2. -120*sqrt(19) Simplify 3*((sqrt(24)*2)/sqrt(12) - sqrt(2)). 3*sqrt(2) Simplify (-2*(2*sqrt(114))/sqrt(6) + -2)**2. 16*sqrt(19) + 308 Simplify (-5 + sqrt(1331) + (sqrt(1331) - (-3 + sqrt(1331))) + sqrt(1331)*-3*-1)**2. -176*sqrt(11) + 21300 Simplify ((1 + sqrt(176) - sqrt(176)) + 2)**2. 9 Simplify sqrt(30)/sqrt(40) - (-1*sqrt(6))/sqrt(2). 3*sqrt(3)/2 Simplify (sqrt(392)*3)/sqrt(4). 21*sqrt(2) Simplify (sqrt(605) - sqrt(605)*3)**2 - (-1 + sqrt(30)/sqrt(6)). -sqrt(5) + 2421 Simplify sqrt(14)/(2*sqrt(343)). sqrt(2)/14 Simplify ((sqrt(180) + 5*(sqrt(180) + 0 + sqrt(180)) - sqrt(180))*6)**2. 648000 Simplify (-5 + sqrt(2736) + 1)**2. -96*sqrt(19) + 2752 Simplify sqrt(12)/(sqrt(12)/sqrt(2)*2 - sqrt(6)) + -2. -2 + sqrt(2) Simplify ((2*sqrt(234))/sqrt(9))/((-1*sqrt(12))/sqrt(6)). -2*sqrt(13) Simplify (-6*5*(-4 + sqrt(1008)))**2. -86400*sqrt(7) + 921600 Simplify (4*sqrt(64))/((1*sqrt(20))/sqrt(10)). 16*sqrt(2) Simplify sqrt(22)/(6*sqrt(99) + sqrt(99)). sqrt(2)/21 Simplify (sqrt(3) + sqrt(12)/sqrt(4) + 2 - 2*sqrt(300))*-4. -8 + 72*sqrt(3) Simplify 1 + -6*(-3*sqrt(2)*1)**2. -107 Simplify (sqrt(480)*-1)/sqrt(10). -4*sqrt(3) Simplify ((sqrt(1008) - (sqrt(1008) + 1*sqrt(1008))) + sqrt(1008))/(sqrt(100)*2). 0 Simplify (sqrt(675) - -2*sqrt(675))/(sqrt(9) + (sqrt(9) - (sqrt(9) - (sqrt(1296) - (sqrt(1296) + sqrt(1296)*2 + sqrt(1296)))))). -3*sqrt(3)/7 Simplify (sqrt(198)/(sqrt(88)/sqrt(8)) - sqrt(18))/sqrt(6). 0 Simplify ((sqrt(153) - (3 + (-1*sqrt(153) - sqrt(153)))) + 2)**2*3. -54*sqrt(17) + 4134 Simplify (-4*(sqrt(68)*3 + sqrt(68)))/(sqrt(864)/sqrt(6)). -8*sqrt(17)/3 Simplify (sqrt(19) - (sqrt(57)/sqrt(3) + 0))**2 + (-2*sqrt(1900))**2. 7600 Simplify -4*sqrt(55)/(-2*sqrt(1100) + sqrt(1100)). 2*sqrt(5)/5 Simplify -3*(sqrt(364)*3)/sqrt(7). -18*sqrt(13) Simplify (sqrt(180) + (sqrt(180) - -2*sqrt(180)))**2 + sqrt(405)*2. 18*sqrt(5) + 2880 Simplify -3*sqrt(30)/(sqrt(30)/sqrt(3)). -3*sqrt(3) Simplify (sqrt(11) - (-1*(sqrt(11) + 0 + sqrt(11))**2 - sqrt(11)) - (sqrt(66)/(sqrt(6)*2))**2) + 1. 2*sqrt(11) + 169/4 Simplify sqrt(11) - (sqrt(11)*3 + 1) - (sqrt(11) + (sqrt(11) - (sqrt(1331) + -1))). -2 + 7*sqrt(11) Simplify ((sqrt(24) - (sqrt(24) + sqrt(96)/sqrt(4)))/sqrt(2))/(3*(sqrt(6) - sqrt(216) - sqrt(6))). sqrt(2)/18 Simplify (-2*2*sqrt(180))/(sqrt(7
{ "pile_set_name": "DM Mathematics" }
+ 55 - 113. 18*b**3 Collect the terms in v**3 + 0*v**3 - 7*v**3 - 5*v**3. -11*v**3 Collect the terms in 17*y**2 - 9*y**2 - 6*y**2 - 2 - 7*y**2. -5*y**2 - 2 Collect the terms in -67916 + 67916 + d**2. d**2 Collect the terms in 11*m**2 + 0*m**2 + 3*m**2 + 4*m**2. 18*m**2 Collect the terms in 2*r - 1 + 3 - 4. 2*r - 2 Collect the terms in -65*v**3 + 39*v**3 + 23*v**3. -3*v**3 Collect the terms in 3*h**3 - 32357*h**2 + 32357*h**2. 3*h**3 Collect the terms in -119*x**3 + 232*x**3 - 117*x**3. -4*x**3 Collect the terms in 6*n - 2 + 0*n + 0*n. 6*n - 2 Collect the terms in -18*c - 28*c + 48*c. 2*c Collect the terms in 19*k**2 - 17*k**2 + 18*k**2. 20*k**2 Collect the terms in -8*f**2 + 4*f**2 - 4*f**2. -8*f**2 Collect the terms in 881 - 1760 + 879 + 2*p**2. 2*p**2 Collect the terms in 3 - 99*z**2 - 3. -99*z**2 Collect the terms in 12*r**2 - 10*r**2 + 75*r**2. 77*r**2 Collect the terms in 9443*k**2 + 3 - 3 - 9427*k**2. 16*k**2 Collect the terms in 2*q**2 - 13*q**2 - 9*q**2. -20*q**2 Collect the terms in -50*k**2 - 47*k**2 + 98*k**2. k**2 Collect the terms in -23*t + 2 + 4 - 6. -23*t Collect the terms in s + 6635 - 6635. s Collect the terms in 18*c**3 - 14*c**3 + 17*c**3. 21*c**3 Collect the terms in -488*f**3 + 772*f**3 - 286*f**3. -2*f**3 Collect the terms in -111*l**2 - 5*l**3 + 111*l**2 - 2*l**3. -7*l**3 Collect the terms in -1 + 155*k**3 - 159*k**3 + 1. -4*k**3 Collect the terms in k + 1399*k**3 - 1400*k**3 - k. -k**3 Collect the terms in -16 + 11 - 2*g**3 + 5. -2*g**3 Collect the terms in -17 + 17 + 17*c + 4*c. 21*c Collect the terms in -5*x**3 - 543*x - 3*x**3 + 543*x. -8*x**3 Collect the terms in -7*o - 64 + 64 - 5*o. -12*o Collect the terms in 209*g**2 + 2*g - 2*g - 215*g**2. -6*g**2 Collect the terms in 250*m**2 - 250*m**2 + 3*m**3. 3*m**3 Collect the terms in 445 - 222 + 4*z**2 + z**2 - 223. 5*z**2 Collect the terms in -3 + z + 3 + 3*z**2. 3*z**2 + z Collect the terms in -6*y - 8*y + 27*y. 13*y Collect the terms in -s - 5*s + 5*s - s. -2*s Collect the terms in -12 - 12 + 42*u - 46*u. -4*u - 24 Collect the terms in -6*p - 11*p + 14*p - 2*p. -5*p Collect the terms in -2546*c**2 + 3*c**3 + 2546*c**2. 3*c**3 Collect the terms in -31*j**2 - 50*j**2 + 80*j**2. -j**2 Collect the terms in 4*n**2 + 315 - 315. 4*n**2 Collect the terms in -137*u - 17*u - 7*u. -161*u Collect the terms in -31*x + 20*x + 6*x. -5*x Collect the terms in -18 + 203*z + 18. 203*z Collect the terms in -9*d**2 + 4*d**2 + 8*d**2. 3*d**2 Collect the terms in 2*j - j + 4*j - 20 - 6*j. -j - 20 Collect the terms in -2*i**3 + 33*i - 44 - 33*i. -2*i**3 - 44 Collect the terms in -7*a**2 + 13*a**2 - 2*a**2. 4*a**2 Collect the terms in -2*y**3 + 18*y**3 - 44*y**3. -28*y**3 Collect the terms in 22*r - 33*r + 12*r. r Collect the terms in -u - 2 - 2 + 9. -u + 5 Collect the terms in 2*g - 4*g + 38*g**2 + 2*g. 38*g**2 Collect the terms in 31058 - 31058 + 2*q**2. 2*q**2 Collect the terms in -6*c**2 + 17*c**3 - c**2 + 7*c**2. 17*c**3 Collect the terms in -232*a + 232*a - 85*a**2. -85*a**2 Collect the terms in 8406 - 4204 + r**2 - 4202. r**2 Collect the terms in 141*g - 555*g + 138*g + 140*g + 138*g. 2*g Collect the terms in -q**2 + q**2 - 7*q**2 + q**2 - 2*q**2. -8*q**2 Collect the terms in 164 - 164 + 3*t**3 - 2*t**3. t**3 Collect the terms in 2*g**2 + 1876*g - 1876*g + 0*g**2 + 4*g**2. 6*g**2 Collect the terms in 4*m - 3*m**2 - 4*m + 3. -3*m**2 + 3 Collect the terms in 14*a - 2*a**3 + 0*a**3 - 14*a. -2*a**3 Collect the terms in 22 - 7 - 15 - 4*s. -4*s Collect the terms in 3*g**2 - 9*g**2 + 39*g + 26*g. -6*g**2 + 65*g Collect the terms in 128*l**3 - 124*l**3 + 2*l - 2*l. 4*l**3 Collect the terms in -6*g**3 + g**3 + 8*g**3 - 19*g**3. -16*g**3 Collect the terms in 45*k**3 - 6*k**3 + 41*k**3. 80*k**3 Collect the terms in 847*k**3 - 2*k**2 + 2*k**2 - 854*k**3. -7*k**3 Collect the terms in -6*z + 5*z + 0*z + 5*z. 4*z Collect the terms in 6*d**2 - 8 - 3*d**2 - 3 - 4*d**2. -d**2 - 11 Collect the terms in -69*a**3 + 21*a**3 + 40*a**3 + 41*a**3. 33*a**3 Collect the terms in -7*f**2 + f**2 - 15*f + 3*f**2. -3*f**2 - 15*f Collect the terms in 61*n - 5*n - 10*n - 17*n - 17*n. 12*n Collect the terms in -46*h**2 + 76*h**2 + 375*h**2. 405*h**2 Collect the terms in 2545155*z**2 - 2545155*z**2 + z**3. z**3 Collect the terms in 56*m**3 - 166*m**3 + 60*m**3 + 45*m**3. -5*m**3 Collect the terms in -199*w + 199*w + 0*w**3 - 2*w**3. -2*w**3 Collect the terms in -3*u**2 + 465*u - u**2 - 465*u + 5*u**2. u**2 Collect the terms in 5*j**2 - 25*j**2 + 17*j**2. -3*j**2 Collect the terms in -2*i - 11*i + 5*i + 5*i. -3*i Collect the terms in -20*m**3 + 3*m**3 - 16*m**3. -33*m**3 Collect the terms in 1516*z - 3033*z + 1519*z. 2*z Collect the terms in k - 2*k - 4*k + 4*k. -k Collect the terms in -7*b - b + 21 + 9*b. b + 21 Collect the terms in -141*x - 19*x - 85*x. -245*x Collect the terms in 1917227*q - 1917227*q + q**3. q**3 Collect the terms in 3 + 788*i - 153*i - 3. 635*i Collect the terms in -f + 8*f - 766221 + 766221. 7*f Collect the terms in -2 - 2*v**2 + 5 + 18*v**2. 16*v**2 + 3 Collect the terms in 2*q + 3 - 6 + 10*q**2 - 2*q. 10*q**2 - 3 Collect the terms in -6*c - 12*c + 13*c + 7*c. 2*c Collect the terms in -27*m**3 + 29*m**3 + 28*m**3. 30*m**3 Collect the terms in 244*v**2 - 1 + 1 + 236*v**2 - 479*v**2. v**2 Collect the terms in -43*k + 232*k + 7*k**2 - 2*k**2 - k**2. 4*k**2 + 189*k Collect the terms in 4 - 54*l + 54*l - 92*l**2. -92*l**2 + 4 Collect the terms in -18*x**2 - x**2 - 20*x**2. -39*x**2 Collect the terms in 49 - 51 + 65*q + 53*q. 118*q - 2 Collect the terms in -p**3 - 9*p**3 - 8*p**3. -18*p**3 Collect the terms in -3*q**3 + q**3 - 476925*q + 476925*q. -2*q**3 Collect the terms in -8*h**2 + 20*h**2 + 9*h**2 + 8*h**2. 29*h**2 Collect the terms in 2*k**3 - 3*k + 8*k**2 - 8*k**2. 2*k**3 - 3*k Collect the terms in -1 + 5 - 4 + 8*c. 8*c Collect the terms in -1 + 2 + 31*r**3 - 1. 31*r**3 Collect the terms in -453*o + 4 + 479*o - 4. 26*o Collect the terms in -13*o + 34*o + 29*o. 50*o Collect the terms in 1324*y**3 - 2*y**2 - 1326*y**3 + 2*y**2. -2*y**3 Collect the terms in -30 + 14 + 16 - v. -v Collect the terms in 22*l + 23*l - 24*l. 21*l Collect the terms in -3*z - 9*z + z. -11*z Collect the terms in 2*o**2 - 5*o**2 + 26*o**3 + 3*o**2. 26*o**3 Collect the terms in -456*v**2 + 223*v**2 + 231*v**2. -2*v**2 Collect the terms in 19*p**2 - 4*p**2 - 12*p**2. 3*p**2 Collect the terms in -27*t + 26*t - 4*t**3 + 22*t. -4*t**3 + 21*t Collect the terms in -68*s**3 + 21*s**3 + 20*s**3. -27*s**3 Collect the terms in 448*z**2 - 199*z**2 - 231*z**2. 18*z**2 Collect the terms in 3*m + 3*m - 9*m + m + 7*m. 5*m Collect the terms in 602 - 602 + o. o Collect the terms in -60 + 10*d + 60. 10*d Collect the terms in -67*t + 45*t - t**2 - 25*t + 47*t. -t**2 Collect the terms in -3*z - 3572 + 3572. -3*z Collect the terms in -30 - 85 - u + 43 - 91. -u - 163 Collect the terms in 2*f**3 + 3461*f - 3461*f. 2*f**3 Collect the terms in 4 - 4 - 53*c**3 + 54*c**3. c**3 Collect the terms in -10*x + 237 - 237 + 6*x. -4*x Collect the terms in 21*r**2 - 2*r - 38*r**2 + 2*r + 23*r**2. 6*r**2 Collect the terms in 29*g - 9*g - 11*g - 13*g. -4*g Collect the terms in -h**3 + 2*h**3 + 14*h**3 + 259*h**2 - 259*h**2. 15*h**3 Collect the terms in t**2 - 654*t + 654*t. t**2 Collect the terms in -24*o**3 - 25*o**3 - 17*o**3 - 33*o**3. -99*o**3 Collect the terms in 11*z + 18*z + 7*z - 53*z + 12*z. -5*z Collect the terms in 7 + m**3 + 86*m**2 - 6 - 1. m**3 + 86*m**2 Collect the terms in -5*g**2 + 5*g**2 + g**2 + g**2. 2*g**2 Collect the terms in -49*n**3 + 40*n**3 + 12*n**3. 3*n**3 Collect the terms in -6*s**2 + 10*s**2 + 16*s**2. 20*s**2 Collect the terms in 6*s - 52*s**2 - 6*s. -52*s**2 Collect the terms in -11 - 8 - 28*z - 8 + 25. -28*z - 2 Collect the terms in 260*i - 10*i**2 - 1 - 260*i + 5. -10*i**2 + 4 Collect the terms in 29 + 3*g - 4 - 131 - 55. 3*g - 161 Collect the terms in -5 - 2 + 6*i**2 + 7. 6*i**2 Collect the terms in -2*l**2 - 417 + 2*l - 2*l + 417. -2*l**2 Collect the terms in 0*l**2 - 4*l**2 + 7*l**2. 3*l**2 Collect the terms in -3*k**2 - 36*k**2 - 26 + 26. -39*k**2 Collect the terms in 46 - 58 - 2*w**3 + 12. -2*w**3 Collect the terms in 83*s - 12 - s**2 - 83*s. -s**2 - 12 Collect the terms in -2 + 2 - 70*c**2. -70*c**2 Collect the terms
{ "pile_set_name": "DM Mathematics" }
common factor of 3858 and 36? 6 Calculate the greatest common factor of 8840 and 338572. 884 What is the highest common factor of 946 and 214269? 473 What is the greatest common factor of 3724 and 1764? 196 Calculate the greatest common divisor of 2557440 and 222. 222 What is the highest common factor of 11592 and 162624? 168 What is the highest common factor of 9 and 838143? 9 What is the highest common divisor of 410 and 251330? 410 Calculate the greatest common divisor of 294 and 4381629. 147 Calculate the highest common factor of 836 and 514558. 418 Calculate the highest common factor of 725002 and 38. 38 Calculate the highest common factor of 52 and 119938. 26 Calculate the greatest common divisor of 41266 and 27218. 878 What is the highest common divisor of 86094 and 12? 6 What is the greatest common divisor of 622212 and 60? 12 Calculate the highest common divisor of 2112 and 891. 33 Calculate the highest common factor of 250 and 57625. 125 Calculate the greatest common factor of 850 and 1088. 34 What is the greatest common factor of 33 and 96063? 33 Calculate the highest common divisor of 392 and 197176. 392 What is the highest common divisor of 1819005 and 15? 15 Calculate the greatest common factor of 25263 and 63. 63 What is the greatest common divisor of 632953 and 1383? 461 What is the highest common divisor of 13981 and 1804? 451 What is the greatest common divisor of 26978 and 3936? 82 What is the highest common divisor of 9659 and 1396097? 743 What is the highest common factor of 259 and 259? 259 What is the greatest common factor of 19598 and 451? 41 Calculate the greatest common factor of 76 and 15599. 19 Calculate the greatest common factor of 23 and 106490. 23 What is the highest common factor of 165 and 553650? 15 Calculate the highest common factor of 261532 and 22952. 604 What is the highest common divisor of 4086753 and 22? 11 Calculate the highest common divisor of 568 and 664. 8 What is the highest common factor of 4736 and 5476? 148 What is the greatest common factor of 6 and 240528? 6 What is the greatest common factor of 643 and 1941217? 643 What is the highest common divisor of 31805 and 80? 5 Calculate the highest common divisor of 371 and 1891941. 53 What is the greatest common divisor of 87 and 24331? 29 Calculate the highest common divisor of 57800 and 72. 8 Calculate the highest common divisor of 1837 and 2563. 11 Calculate the highest common factor of 138 and 16192. 46 What is the highest common divisor of 14852 and 2256? 188 Calculate the greatest common factor of 4 and 357596. 4 Calculate the highest common factor of 156420 and 18. 18 What is the greatest common divisor of 52 and 200551? 13 Calculate the highest common divisor of 1488709 and 453. 151 Calculate the greatest common divisor of 3944 and 35003. 493 What is the highest common divisor of 42 and 44121? 21 Calculate the greatest common factor of 107388 and 1368. 684 Calculate the greatest common factor of 171 and 589. 19 What is the highest common divisor of 885 and 161365? 295 What is the greatest common factor of 4470 and 3840? 30 Calculate the greatest common factor of 29543 and 899. 31 Calculate the greatest common factor of 78 and 121368. 78 What is the highest common factor of 13 and 326651? 13 What is the greatest common divisor of 314054 and 78? 26 Calculate the highest common factor of 195 and 4991610. 195 Calculate the highest common factor of 430 and 27520. 430 Calculate the highest common divisor of 280300 and 100. 100 Calculate the highest common factor of 36 and 74367. 9 Calculate the greatest common divisor of 5925 and 22989. 237 Calculate the greatest common factor of 188 and 69983. 47 What is the greatest common divisor of 1513 and 92916? 89 What is the highest common factor of 340 and 2140? 20 What is the greatest common factor of 38383 and 8777? 131 Calculate the highest common factor of 556903 and 123. 41 Calculate the highest common factor of 17297 and 2989. 49 Calculate the greatest common divisor of 4756 and 522. 58 Calculate the greatest common divisor of 12 and 38928. 12 Calculate the greatest common factor of 1100 and 2600. 100 What is the greatest common factor of 124512 and 240? 48 What is the greatest common divisor of 11122 and 2822? 166 What is the highest common divisor of 1220 and 1600030? 610 What is the highest common factor of 184 and 119692? 92 Calculate the highest common divisor of 946 and 12384. 86 Calculate the greatest common divisor of 369 and 11849. 41 What is the greatest common divisor of 38963 and 5734? 47 What is the greatest common divisor of 10519 and 3611? 157 What is the greatest common factor of 69498 and 1430? 286 Calculate the greatest common factor of 7502 and 9548. 682 Calculate the highest common divisor of 1715 and 20. 5 Calculate the greatest common divisor of 172121 and 19. 19 What is the greatest common factor of 4 and 5471? 1 Calculate the greatest common divisor of 17150 and 55370. 490 Calculate the highest common factor of 1158 and 1480696. 386 What is the greatest common factor of 320 and 187328? 64 Calculate the highest common factor of 1322 and 154013. 661 What is the highest common factor of 312 and 9336? 24 What is the highest common factor of 2210 and 190? 10 Calculate the highest common factor of 470 and 524050. 470 Calculate the greatest common factor of 10192 and 273. 91 Calculate the greatest common divisor of 88595 and 325. 65 What is the highest common factor of 229 and 676924? 229 What is the greatest common divisor of 240 and 1365? 15 What is the highest common divisor of 3115 and 105? 35 What is the greatest common factor of 195797 and 8425? 337 Calculate the greatest common factor of 763329 and 63. 21 Calculate the greatest common factor of 25477 and 21243. 73 Calculate the greatest common divisor of 55 and 44176. 11 Calculate the greatest common factor of 3768 and 2355. 471 Calculate the greatest common factor of 60 and 7847760. 60 What is the highest common factor of 24064 and 47? 47 Calculate the highest common divisor of 7 and 1152998. 7 Calculate the greatest common divisor of 7616 and 187. 17 Calculate the highest common factor of 4432 and 1080300. 1108 What is the greatest common factor of 59 and 1234162? 59 What is the greatest common factor of 1164 and 183060? 12 Calculate the greatest common factor of 645 and 81055. 215 What is the greatest common factor of 1060200 and 837? 279 Calculate the greatest common factor of 2736 and 70272. 144 Calculate the greatest common divisor of 156 and 424684. 52 Calculate the greatest common factor of 66 and 123486. 66 Calculate the greatest common divisor of 59499 and 1017. 9 What is the highest common factor of 1416 and 20253048? 1416 Calculate the greatest common divisor of 1666 and 329. 7 What is the highest common factor of 266610 and 50? 10 What is the highest common factor of 157833 and 1278? 639 What is the greatest common factor of 1530 and 376992? 306 Calculate the greatest common factor of 5859 and 7938. 189 Calculate the greatest common divisor of 217214 and 1340. 134 Calculate the highest common factor of 12291 and 255. 51 What is the greatest common factor of 3780 and 444? 12 Calculate the greatest common factor of 230769 and 1386. 693 Calculate the highest common divisor of 9480 and 1240. 40 What is the highest common divisor of 810608 and 696? 232 Calculate the highest common factor of 5 and 34015. 5 Calculate the highest common factor of 4878960 and 80. 80 Calculate the greatest common divisor of 58095 and 981. 9 What is the greatest common divisor of 53745 and 30? 15 Calculate the greatest common divisor of 3629360 and 2240. 560 What is the greatest common factor of 1265 and 466510? 55 What is the highest common factor of 14 and 132307? 7 What is the highest common divisor of 774 and 134934? 258 Calculate the highest common divisor of 302685 and 3315. 255 Calculate the highest common divisor of 140912 and 128. 16 Calculate the highest common divisor of 2123449 and 467. 467 What is the highest common factor of 99 and 7101? 9 Calculate the greatest common factor of 416 and 8032. 32 What is the greatest common divisor of 373760 and 5475? 365 Calculate the greatest common divisor of 3750 and 25625. 625 Cal
{ "pile_set_name": "DM Mathematics" }
lculate l. -4, 2/71, 1 Find w such that -2*w**4 + 20*w**3 + 454*w**2 - 2520*w - 31752 = 0. -9, 14 Factor u**4/2 - 6*u**3. u**3*(u - 12)/2 Determine s so that -2*s**2/15 - 4924*s/15 - 3030722/15 = 0. -1231 Factor 3*x**5/4 + 186*x**4 + 43851*x**3/4 - 140601*x**2/2 + 143637*x - 96774. 3*(x - 2)**3*(x + 127)**2/4 Determine j, given that -15*j**4/4 + 9*j**3 - 3*j**2/2 - 9*j + 21/4 = 0. -1, 1, 7/5 Factor 64*q**3 + 96*q**2 + 36*q + 4. 4*(q + 1)*(4*q + 1)**2 Solve l**3/4 + 15*l**2/4 - 4*l - 60 = 0. -15, -4, 4 Factor -h**3 + 19*h**2 - 76*h + 84. -(h - 14)*(h - 3)*(h - 2) Find z, given that z**3/9 + 457*z**2/9 - 460*z/9 - 916/9 = 0. -458, -1, 2 Factor -2*h**4/7 - 654*h**3/7 + 3972*h**2/7 - 7976*h/7 + 5328/7. -2*(h - 2)**3*(h + 333)/7 Factor -4*f**3 - 32*f**2 + 256*f + 2048. -4*(f - 8)*(f + 8)**2 Factor 2*a**3/3 + 166*a**2/3 + 326*a/3 + 54. 2*(a + 1)**2*(a + 81)/3 Factor -h**5/6 - h**4/3 - h**3/6. -h**3*(h + 1)**2/6 Factor -2*c**4/5 + 201*c**3/5 - 4896*c**2/5 - 7803*c/5. -c*(c - 51)**2*(2*c + 3)/5 Factor 33*j**3 + 1116*j**2 + 9333*j - 1734. 3*(j + 17)**2*(11*j - 2) Factor 2*q**3/19 + 1832*q**2/19 + 3658*q/19 + 1828/19. 2*(q + 1)**2*(q + 914)/19 Factor 3*y**3 - 108*y**2 + 969*y. 3*y*(y - 19)*(y - 17) Let 5*k**3 - 15*k**2 - 20*k + 60 = 0. Calculate k. -2, 2, 3 Factor -3*u**3/4 - 309*u**2/2 - 33027*u/4 - 30603. -3*(u + 4)*(u + 101)**2/4 Determine z, given that 235298*z**4/9 - 4802*z**3/3 + 98*z**2/3 - 2*z/9 = 0. 0, 1/49 Factor 2*s**3 + 26*s**2 + 46*s + 22. 2*(s + 1)**2*(s + 11) Determine r, given that 3*r**5/8 + r**4/8 - 5*r**3/8 - r**2/8 + r/4 = 0. -1, 0, 2/3, 1 Factor 2*d**3/11 + 486*d**2/11 + 39366*d/11 + 1062882/11. 2*(d + 81)**3/11 Factor 3*r**3 - 555*r**2 + 19584*r + 593028. 3*(r - 102)**2*(r + 19) Factor -3*k**3 - 1836*k**2 - 277200*k + 1138368. -3*(k - 4)*(k + 308)**2 What is v in -3*v**3/5 - 381*v**2/5 - 11904*v/5 + 12288/5 = 0? -64, 1 Suppose -25*c**2 - 180*c + 405 = 0. What is c? -9, 9/5 Determine d so that d**2 - 79*d - 80 = 0. -1, 80 Determine i, given that -2*i**3 - 848*i**2 - 89888*i = 0. -212, 0 Determine o, given that -2*o**4/3 - 4*o**3 + 62*o**2/3 + 24*o = 0. -9, -1, 0, 4 Find r such that 5*r**4 + 5*r**3 - 260*r**2 + 220*r + 480 = 0. -8, -1, 2, 6 Factor 4*d**3/5 - 4*d**2/5 - 52*d - 252/5. 4*(d - 9)*(d + 1)*(d + 7)/5 Let -2*c**4 - 46*c**3 - 30*c**2 + 3150*c = 0. Calculate c. -15, 0, 7 Suppose 4*o**4 + 6100*o**3 + 3102864*o**2 + 527482816*o + 524386048 = 0. Calculate o. -508, -1 Solve 4*g**2 + 60*g + 56 = 0 for g. -14, -1 Solve 2*o**4/15 + 4*o**3/3 - 56*o**2/5 + 368*o/15 - 256/15 = 0 for o. -16, 2 Factor -2*f**3/3 - 266*f**2/3 + 2*f/3 + 266/3. -2*(f - 1)*(f + 1)*(f + 133)/3 Factor -5*j**2/4 + 295*j/4. -5*j*(j - 59)/4 Factor -o**5/4 + o**4 - o**3/4 - 5*o**2/2 + o + 2. -(o - 2)**3*(o + 1)**2/4 What is l in -10*l**4/3 + 232*l**3 + 570*l**2 + 1292*l/3 + 96 = 0? -1, -2/5, 72 Factor -5*v**4 - 95*v**3 - 175*v**2 - 85*v. -5*v*(v + 1)**2*(v + 17) Suppose -3*g**5 - 3*g**4 + 93*g**3 + 3*g**2 - 90*g = 0. What is g? -6, -1, 0, 1, 5 Let -2*l**3 + 10*l**2 - 16*l + 8 = 0. What is l? 1, 2 Solve -4*l**5 + 88*l**4 - 236*l**3 + 152*l**2 = 0. 0, 1, 2, 19 Factor 2*n**4 + 608*n**3 + 44348*n**2 - 282720*n + 432450. 2*(n - 3)**2*(n + 155)**2 Suppose 2*k**4/7 + 160*k**3/7 + 2846*k**2/7 - 2136*k - 2520 = 0. Calculate k. -42, -1, 5 Factor 3*n**3/8 + 3*n**2/8 - 15*n/8 + 9/8. 3*(n - 1)**2*(n + 3)/8 Factor -2*g**4 - 42*g**3 - 306*g**2 - 918*g - 972. -2*(g + 3)**2*(g + 6)*(g + 9) Suppose -2*c**3/7 + 130*c**2/7 - 254*c/7 + 18 = 0. What is c? 1, 63 Factor -2*l**3 + 4*l**2 + 26*l + 20. -2*(l - 5)*(l + 1)*(l + 2) Factor -5*r**4 + 30*r**3 + 35*r**2. -5*r**2*(r - 7)*(r + 1) Factor -2*g**3/15 - 16*g**2/15 + 182*g/15 + 196/15. -2*(g - 7)*(g + 1)*(g + 14)/15 What is a in 2*a**4/5 - 4*a**3 + 48*a**2/5 - 44*a/5 + 14/5 = 0? 1, 7 Factor d**2/7 + 82*d/7 + 1681/7. (d + 41)**2/7 Factor -3*r**3 - 45*r**2 - 42*r. -3*r*(r + 1)*(r + 14) Factor w**3/8 + 6*w**2 - 55*w/8 - 147/4. (w - 3)*(w + 2)*(w + 49)/8 Let -3*k**4/8 + 57*k**3/4 + 72*k**2 - 22113*k/4 + 124659/8 = 0. Calculate k. -19, 3, 27 Factor -2*m**4/3 - 18*m**3 + 56*m**2/3. -2*m**2*(m - 1)*(m + 28)/3 Factor -z**4/2 + 4*z**3 - 5*z**2/2 - 25*z. -z*(z - 5)**2*(z + 2)/2 Factor 4*m**3 + 140*m**2 + 1628*m + 6292. 4*(m + 11)**2*(m + 13) Solve 2*q**4/13 - 12*q**3/13 - 22*q**2/13 + 48*q/13 + 56/13 = 0. -2, -1, 2, 7 Let -5*i**2 - 185*i + 190 = 0. What is i? -38, 1 Factor 5*n**4 - 20*n**3 - 65*n**2 + 200*n + 240. 5*(n - 4)**2*(n + 1)*(n + 3) Find x such that -4805*x**3 + 4185*x**2 + 680*x - 60 = 0. -6/31, 2/31, 1 Let k**5/5 + 3*k**4/5 + 2*k**3/5 = 0. Calculate k. -2, -1, 0 Determine p, given that -p**3/3 + 163*p**2/3 - 2392*p + 14196 = 0. 7, 78 Factor -12*z**2 - 11*z/2 - 1/2. -(3*z + 1)*(8*z + 1)/2 Determine z, given that -2*z**3 + 764*z**2 - 72192*z - 147456 = 0. -2, 192 Determine w, given that -w**4 + 48*w**3 - 375*w**2 + 952*w - 624 = 0. 1, 4, 39 Let 4*a**4 - 60*a**3 + 144*a**2 + 1024*a - 3072 = 0. What is a? -4, 3, 8 Solve 2*s**3/3 - 3146*s**2/3 - 2*s/3 + 3146/3 = 0. -1, 1, 1573 Factor -2*h**3/5 + 34*h**2/5 - 32*h/5. -2*h*(h - 16)*(h - 1)/5 Determine f so that 2*f**2 + 36*f - 486 = 0. -27, 9 Find a, given that 2*a**5/7 + 16*a**4/7 - 4*a**3/7 - 32*a**2/7 + 2*a/7 + 16/7 = 0. -8, -1, 1 Factor 2*r**2 - 36*r - 38. 2*(r - 19)*(r + 1) Factor -o**3/2 - 153*o**2/2 - 599*o/2 - 447/2. -(o + 1)*(o + 3)*(o + 149)/2 What is f in -3*f**5/8 - 3*f**4/8 + 6*f**3 - 15*f**2/2 = 0? -5, 0, 2 Factor 2*h**3/9 - 28*h**2/9 + 2*h + 72. 2*(h - 9)**2*(h + 4)/9 Determine z, given that 7*z**5 + 11*z**4 - 41*z**3 - 27*z**2 + 18*z = 0. -3, -1, 0, 3/7, 2 Factor -3*j**2/5 + 579*j/5 - 564. -3*(j - 188)*(j - 5)/5 Suppose -2*j**2 + 568*j + 2890 = 0. What is j? -5, 289 Solve -10*n**3 - 385*n**2 - 3800*n - 1805 = 0 for n. -19, -1/2 What is f in f**2 - 25*f + 100 = 0? 5, 20 Let a**4 + 11*a**3/3 - 157*a**2/3 + 107*a - 30 = 0. What is a? -10, 1/3, 3 Let 55*o**2 - 115*o + 10 = 0. What is o? 1/11, 2 Suppose u**4/5 - 24*u**3/5 - 33*u**2/5 + 188*u/5 + 60 = 0. What is u? -2, 3, 25 Suppose b**3 - 56*b**2 + 925*b - 3750 = 0. Calculate b. 6, 25 Factor 2*v**5 - 22*v**4/3 + 4*v**3. 2*v**3*(v - 3)*(3*v - 2)/3 Factor -3*c**4 - 30*c**3 - 75*c**2. -3*c**2*(c + 5)**2 Factor 3*t**5 + 102*t**4 + 963*t**3 + 1632*t**2 + 768*t. 3*t*(t + 1)**2*(t + 16)**2 Determine w, given that 2*w**3 - 10*w**2 - 34*w + 42 = 0. -3, 1, 7 Find f such that 213444*f**2 + 924*f + 1 = 0. -1/462 Solve 2*j**5 - 22*j**4 + 92*j**3 - 184*j**2 + 176*j - 64 = 0 for j. 1, 2, 4 What is c in 2*c**3/15 - 2*c**2/5 + 4*c/15 = 0? 0, 1, 2 Solve -2*c**2 - 38*c + 40 = 0 for c. -20, 1 Let 2*g**2 - 1220*g + 186050 = 0. What is g? 305 Factor -3*m**3 + 1185*m**2 - 117609*m + 116427. -3*(m - 197)**2*(m - 1) Find k, given that 10*k**2 - 35*k/3 - 65/3 = 0. -1, 13/6 Factor -5*l**4 - 10*l**3 - 5*l**2. -5*l**2*(l + 1)**2 Suppose f**5/12 + 17*f**4/6 - f**3/12 - 17*f**2/6 = 0. What is f? -34, -1, 0, 1 Solve d**2 + 5516*d + 7606564 = 0. -2758 Factor 2*y**2/13 - 94*y/13. 2*y*(y - 47)/13 Factor -d**4 - 4*d**3 - d**2 + 6*d. -d*(d - 1)*(d + 2)*(d + 3) What is c in 5*c**3 + 1380*c**2 + 2740*c = 0? -274, -2, 0 Suppose -h**2/3 + 59*h/3 + 130 = 0. What is h? -6, 65 Factor y**3/5 + 12*y**2/5 + 29*y/5 - 42/5. (y - 1)*(y + 6)*(y + 7)/5 Factor -2*m**3/9 + 36*m**2 + 326*m/9. -2*m*(m - 163)*(m + 1)/9 Find q such that 3*q**3/2 + 9*q**2/2 - 27*q - 60 = 0. -5, -2, 4 Solve -9*r**4 + 78*r**3 - 3*r**2 - 786*r + 504 = 0. -3, 2/3, 4, 7 Factor 5*u**5 + 175*u**4 + 2330*u**3 + 14320*u**2 + 37760*u + 25600. 5*(u + 1)*(u + 8)**3*(u + 10) Factor -4*w**5 + 56*w**4 + 124*w**3 + 64*w**2. -4*w**2*(w - 16)*(w + 1)**2 Find b, given that b**4/2 + 17*b**3/2 - 165*b**2/2 - 2925*b/2 = 0. -15, 0, 13 Suppose -20*f**5 - 555*f**4 - 5700*f**3 - 25420*f**2 - 39360*f + 11520 = 0. What is f? -8, -6, 1/4 Factor p**2/5 - 7496*p/5 + 14047504/5. (p - 3748)**2/5 Find x such that 15*x**4 + 57*x**3 - 30*x**2 - 72*x = 0. -4, -1, 0, 6/5 Solve -16*m**3 - 20*m**2 + 28*m + 8 = 0 for m. -2, -1/4, 1 Suppose 2*j**2 + 12*j + 18 = 0. What is j? -3 Suppose -n**4 - 8*n**3/3 + 46*n**2 - 96*n + 27 = 0. Calculate n. -9, 1/3, 3 Factor 27*o**3 - 852*o**2 - 1148*o/3 - 128/3. (o - 32)*(9*o + 2)**2/3 Let 5*b**3 + 830*b**2 + 1645*b + 820 = 0. Calculate b. -164, -1 Factor -20*u**2 + 5644*u - 1128. -4*(u - 282)*(5*u - 1) Factor
{ "pile_set_name": "DM Mathematics" }
assuming n is positive. n**(-3/40) Simplify f*f*f*f/f**(-11)*f*f**(3/10) assuming f is positive. f**(163/10) Simplify (b**(-6)/b)**11 assuming b is positive. b**(-77) Simplify (m**(3/8))**(5/2) assuming m is positive. m**(15/16) Simplify (z**12/z**(-3/7))**(8/9) assuming z is positive. z**(232/21) Simplify (f**(-5))**30 assuming f is positive. f**(-150) Simplify (b*b**2/b)**(-26) assuming b is positive. b**(-52) Simplify (s**2)**(-2/23) assuming s is positive. s**(-4/23) Simplify (p/p**(-11))/(p**9/p) assuming p is positive. p**4 Simplify (o**8/o)/((o*o**6)/o) assuming o is positive. o Simplify (y*y**(20/3)/y)/(y*y**(3/8)) assuming y is positive. y**(127/24) Simplify (d/d**(-1/33))/d*(d/d**(-20))/d assuming d is positive. d**(661/33) Simplify (g/(g/g**(2/9))*g)/(g**(-1)/g) assuming g is positive. g**(29/9) Simplify (((a/a**(-2))/a)/(a*a*a*a**(-1)/a))/(a/(a/((a/a**(-9))/a))*(a/(a**1*a))/a) assuming a is positive. a**(-6) Simplify o/o**(-1/4)*o/(o/o**(-4))*(o**(-1)*o)/(o*o**(3/4)*o*o*o) assuming o is positive. o**(-15/2) Simplify (j*(j*j**(1/8))/j*j)/((j/((j**2*j)/j))/j) assuming j is positive. j**(33/8) Simplify (m*m**(-2/3)*m)/(m**12*m) assuming m is positive. m**(-35/3) Simplify (k/(k/k**(-2/7))*k**(-2/9))**(-1/12) assuming k is positive. k**(8/189) Simplify (r**(1/2)/r**(-4/3))/(((r*r**(2/5)*r*r)/r)/r)**(-8) assuming r is positive. r**(391/30) Simplify (n/(n**1*n)*n)**(26/7)/(n**2*n**(1/2)) assuming n is positive. n**(-5/2) Simplify (i**5*i**(-2/7))/(i/(i*i**(1/7)/i*i)*i*i**(1/10)*i) assuming i is positive. i**(193/70) Simplify c**(2/11)*(c*c/c**1)/c*c**(-3/10)/c*c/(c/((c**1/c)/c)*c) assuming c is positive. c**(-343/110) Simplify (h/(h**(-2)/h))/(h*h/((h*h**(4/7))/h))*(h**(1/2))**42 assuming h is positive. h**(165/7) Simplify (q**(-2/17))**(-15) assuming q is positive. q**(30/17) Simplify ((z**(-4/3))**(-12/13))**(-46) assuming z is positive. z**(-736/13) Simplify (u/(u/(u*u**(2/5))))/(u/u**(-21)) assuming u is positive. u**(-103/5) Simplify (i**(-1)*i)**(1/4)*(i/(i*i**2)*i)/(i/(i**(-6/7)/i)) assuming i is positive. i**(-27/7) Simplify h/(h*h**(-23)*h)*h**(2/11)*h assuming h is positive. h**(255/11) Simplify (j**11)**(7/4) assuming j is positive. j**(77/4) Simplify (f/(f*f**(-3/11)*f))**(-10) assuming f is positive. f**(80/11) Simplify (r*r**33)**(-18) assuming r is positive. r**(-612) Simplify ((d*d**(3/2)/d)/(d*d**3))/(d**0*(d*d/(d**(-2/9)/d)*d)/d) assuming d is positive. d**(-103/18) Simplify (x**(-1)/x)/(x**(2/23)/x)*(x**(-2/3))**(3/20) assuming x is positive. x**(-273/230) Simplify z**27*z**(-14/3)/z assuming z is positive. z**(64/3) Simplify (u**(-17))**(5/19) assuming u is positive. u**(-85/19) Simplify (x*((x*x/(x*x**8))/x*x)/x*x)/(x/x**(-6))*(x**(2/9)/x)**(1/50) assuming x is positive. x**(-5857/450) Simplify (r**0*r)/(r*r/(r/r**5)*r)*r/(((r**6*r)/r)/r)*((r/((r*(r*r/r**(-1))/r)/r))/r)/r assuming r is positive. r**(-13) Simplify (j*j**2)**(-31) assuming j is positive. j**(-93) Simplify (((((((t**(-3)/t*t)/t)/t)/t*t*t)/t)/t)/(t*t/((t/((t*(t/(t/(t*t/t**(-4)*t)*t))/t)/t))/t)*t*t))**(-34) assuming t is positive. t**510 Simplify (z**(-6/13)*z*z**5)**(-47) assuming z is positive. z**(-3384/13) Simplify (z/(z**8/z)*z*z**(-5))**(-44) assuming z is positive. z**440 Simplify (b**1)**11/(b**6/((b**(-3/4)*b)/b*b)) assuming b is positive. b**(21/4) Simplify ((p/p**0)/p)**(-2/9) assuming p is positive. 1 Simplify (c**(-3)*c/((c**(2/3)*c)/c))/((c*c**(1/4))/c)**39 assuming c is positive. c**(-149/12) Simplify k*k**(5/2)*k/((k**18/k)/k) assuming k is positive. k**(-23/2) Simplify d*d*d**(-22)*d*(d/((d/d**(-31))/d))/d assuming d is positive. d**(-50) Simplify i**(5/9)/(i**(2/19)*i*i) assuming i is positive. i**(-265/171) Simplify ((((t**10/t*t)/t)/t)/(t/t**10))/(t**(-2)/t*t**(-7/5)) assuming t is positive. t**(107/5) Simplify (s**1/s)**(-1/52) assuming s is positive. 1 Simplify ((h*h*h**(-1/3))**42)**19 assuming h is positive. h**1330 Simplify q**(-1/12)*q**(-2/3)/q*(q/q**(1/6))/(q**(1/4)*q*q) assuming q is positive. q**(-19/6) Simplify (q**(-2)*q/(q*q/q**(1/4)))**(-16/5) assuming q is positive. q**(44/5) Simplify (b*b**(-4/3)*b*b**(-14))**10 assuming b is positive. b**(-400/3) Simplify s**(-4/9)/((s**(-12)/s)/s) assuming s is positive. s**(122/9) Simplify (r**(-2/23))**27 assuming r is positive. r**(-54/23) Simplify ((n*n**1*n)**(-4))**(-1/28) assuming n is positive. n**(3/7) Simplify z**(-1/18)/z*z/(z/(((z*((z/(((z*(z**(2/11)/z*z*z)/z)/z)/z))/z)/z)/z)/z)) assuming z is positive. z**(-443/198) Simplify (b/(b*b**(-10)*b)*b*b)**(-2/31) assuming b is positive. b**(-22/31) Simplify c**6*(c**1/c)/c assuming c is positive. c**5 Simplify (d**(-2/5)*d*d**(-1/10))**(-1/40) assuming d is positive. d**(-1/80) Simplify p/p**9*(((p/(p*(p**17*p)/p)*p)/p)/p)/p assuming p is positive. p**(-27) Simplify (g/(g**(1/3)*g))/(g*g**(-3/17)*g) assuming g is positive. g**(-110/51) Simplify (g/(g*g**0*g*g))**(-11/6)/(g/(((g/g**(-2/11))/g)/g)*g**(3/5)) assuming g is positive. g**(206/165) Simplify ((n*n*(n/n**5)/n)/(n/(n/(n*n*n**(-3)))))/(n**(2/13)/(n/(n*n**(1/5)))) assuming n is positive. n**(-153/65) Simplify (k*k/(k*k/k**(-4)))/k**(-7) assuming k is positive. k**3 Simplify (v/(v*v**8))/v*v/v**5*v*(v**(-1/4))**(-3/41) assuming v is positive. v**(-1965/164) Simplify l*l**15*l/(l/(l*l**3*l*l)) assuming l is positive. l**22 Simplify (w/w**(-2))**(-13)/(((w*w**(-9))/w)/w**(-4/7)) assuming w is positive. w**(-214/7) Simplify (c*c/c**(-3)*c)/c**(-8) assuming c is positive. c**14 Simplify (x**(2/11)/x**(-7))/((x**(9/5)*x*x)/(x**(6/5)/x*x)) assuming x is positive. x**(252/55) Simplify (n**(2/9))**(4/7)*(n*n**1/n*n)**(14/5) assuming n is positive. n**(1804/315) Simplify (n**(1/10)/n*n*n/n**4)/(n**(1/3)/n)**38 assuming n is positive. n**(673/30) Simplify (q**1/(q/q**(-8)))**(-10) assuming q is positive. q**80 Simplify o/(o**(1/9)*o)*o**(2/7)*o**6/o**4 assuming o is positive. o**(137/63) Simplify s**(-3/25)*s**(-4)/s assuming s is positive. s**(-128/25) Simplify t/((t/t**14)/t)*t*t/t**(-21) assuming t is positive. t**38 Simplify (q**0)**(-7)*q*((q**8*q)/q*q)/q*q**(-1/5) assuming q is positive. q**(44/5) Simplify h**(-9)/(h/(h*h/h**(8/5))) assuming h is positive. h**(-48/5) Simplify (d**(-2))**0/((d*(d/(d**(-2/7)*d)*d)/d*d)/d*d)**43 assuming d is positive. d**(-688/7) Simplify ((m*m**(-6/5)*m*m)/m*(m/((m*(m**(-2/19)/m)/m)/m))/m*m)**35 assuming m is positive. m**(2597/19) Simplify g*g/g**(2/3)*g/g**3*(g**0*g)**(17/3) assuming g is positive. g**5 Simplify (b/(b**10*b))**(1/40) assuming b is positive. b**(-1/4) Simplify (j**2*j)**(-3/16)/((j/(j*j/j**(5/6)))/((j*((j*(j**(1/16)/j)/j)/j)/j)/j)) assuming j is positive. j**(-10/3) Simplify ((k/((k*(k**(1/8)/k)/k)/k))/k)**(-13/4) assuming k is positive. k**(-195/32) Simplify (y*y/(((y*(y**(-1)*y*y)/y)/y)/y)*y)**(-10)*y**4*y**1/y*y assuming y is positive. y**(-35) Simplify ((f**(-1/3))**(-31))**(-1/14) assuming f is positive. f**(-31/42) Simplify (z**(2/9)*z*z*(z/(z*(z/(z**(5/2)/z*z))/z))/z)**(7/8) assuming z is positive. z**(469/144) Simplify (p**(-1))**(1/11) assuming p is positive. p**(-1/11) Simplify (((((v**(-2/65)*v)/v*v)/v)/v*v)/v)/(v/v**(-5/7)) assuming v is positive. v**(-1249/455) Simplify (y/(y/(y*y**0))*y)**(-32) assuming y is positive. y**(-64) Simplify (z**(-1))**(9/5)/(((z**(-2/7)*z)/z)/(z*z**2)) assuming z is positive. z**(52/35) Simplify (x*x/((x/x**(-2/41))/x*x*x)*x/x**0)**(1/28) assuming x is positive. x**(39/1148) Simplify (g**(2/5)/g)**23 assuming g is positive. g**(-69/5) Simplify c/c**(-7)*c**18 assuming c is positive. c**26 Simplify (v/(v/v**(1/16)))**39 assuming v is positive. v**(39/16) Simplify ((j*j*j**4*j)/j*j**(1/11))**(-8/13) assuming j is positive. j**(-536/143) Simplify (f/f**(2/11)*f/f**(-3/7))**(-3/22) assuming f is positive. f**(-519/1694) Simplify (n/((n**3*n)/n))/(((n*n*n*n*n**(-36))/n)/n) assuming n is positive. n**32 Simplify (d/d**(-2))**(-4/3) assuming d is positive. d**(-4) Simplify (r**0/(r/(r/(r**(-2/7)*r*r))))**25 assuming r is positive. r**(-300/7) Simplify (c**(-1/4))**(5/3)*c**(1/3)/(c*c**(2/7)*c*c) assuming c is positive. c**(-283/84) Simplify (((w*(w/((w*w**(-1))/w))/w)/w)/w**8)/(w/(w*(w*w/w**(-1))/w)*w)**(-6/35) assuming w is positive. w**(-251/35) Simplify (s**(-1)/s**(-8))**(-39) assuming
{ "pile_set_name": "DM Mathematics" }
he remainder when 114 is divided by s/(-3) - 2/(-6). 22 Suppose 12*f = 8*f + 256. Suppose 0 = 15*l - 14*l - f. Let a(j) = j**3 + 9*j**2 - 13*j - 13. What is the remainder when l is divided by a(-10)? 13 Let p(x) = 15*x**3 - x**2 - x + 1. Let t = 161 - 161. Suppose 48*y - 53*y + 200 = t. What is the remainder when y is divided by p(1)? 12 Let c = 0 - -25. Suppose 47 + 568 = 5*u. Calculate the remainder when u is divided by c. 23 Let f be ((-238)/(-22) - (-2)/11) + -1. Suppose 4*v = -2*w - 3*w + 55, 2*v = f. Let p = 99 + -66. What is the remainder when p is divided by w? 5 Calculate the remainder when 8424 is divided by (-812)/(-84) - (-28)/21. 9 Suppose 4*r = -3*o - 5 + 8, 20 = -5*r + o. Calculate the remainder when (8 - 1)/(610/200 + r) is divided by 16. 12 Let y(h) = -2*h + 4. Suppose 7*g = 156 + 152. Suppose -2*s + 3*v + 67 = 0, -2*s + s = -5*v - g. What is the remainder when s is divided by y(-3)? 9 Let u(g) = 3*g**3 - 11*g**2 + 14*g - 4. Suppose 5*c - 1636 = 3*q, 2*c + 699 + 1465 = -4*q. Calculate the remainder when u(4) is divided by q/(-26) - 4/(-26). 5 What is the remainder when -3 + 101824/(-25 - -33) is divided by 101? 100 Suppose -84*l = -3*k - 88*l + 8040, 3*k = 4*l + 7968. What is the remainder when k is divided by 267? 265 Let i(b) = -3*b**2 - 4*b - 3. Let q be i(-2). Calculate the remainder when 6/21 - 649/q is divided by (-703)/(-19) + (9/(-1) - 4). 21 Suppose -37*c - 15*c = -2496. Suppose -c = 172*y - 188*y. Calculate the remainder when 147 is divided by y. 0 Let z = 30038 - 29857. What is the remainder when 2888 is divided by z? 173 Suppose -3*s + 8*s + 25 = 0. Let r = s - -16. Suppose -7*q - 92 = -r*q. What is the remainder when 89 is divided by q? 20 Let j = -8 - -5. Suppose -72*l - 31*l + 504 = -31*l. What is the remainder when 30*((-2)/j - 0) is divided by l? 6 Calculate the remainder when 118 is divided by 50 - (676/(-130) + (-1)/(-5)). 8 Let r = -79 - -169. Calculate the remainder when r is divided by 470/200*5 + 20/16 + -1. 6 Suppose -4*i + 59 = -2*q + q, 4*i = -q + 53. Calculate the remainder when i + -5 + 33 + 0 + 1 is divided by 28. 15 Let x = 3321 - 3213. Let w = 5 + -3. Suppose -2*p - 2*l = -x, -2*l = -w*p + 3*l + 80. Calculate the remainder when p is divided by 17. 16 Let i(m) = 8*m**2 + 3*m + 4. What is the remainder when i(5) is divided by 33 - (6/(-22) + 1204/946)? 27 Suppose 0 = -2*u + 5*x + 39, 26*x = -3*u + 24*x - 8. What is the remainder when 684 is divided by u? 0 Let r(f) = 25*f + 31 - 1 + 25 - 99. What is the remainder when r(8) is divided by 80? 76 Let a = 43 + 32. Suppose -3*g + 3*q = a, 5*q - 8 = -g - 3. Let o = -9 - g. Calculate the remainder when 51 is divided by o. 7 Let b = -587 - -230. Let d = b - -370. What is the remainder when 128 is divided by d? 11 Let g(n) = -n**2 + 43*n + 177. What is the remainder when 1732 is divided by g(46)? 16 Let q(c) = -50*c. Let g = -16 + 15. Calculate the remainder when q(g) is divided by 13. 11 Let b = -34 - 10. Let j be (2 - b/(-16))*924. Calculate the remainder when j/(-15) + 2/(-10) is divided by 16. 14 Suppose 0 = -5*z + 3*r + 2223, 0*z - 5*r - 1781 = -4*z. Suppose 0 = 595*o - 591*o - z. What is the remainder when 428 is divided by o? 95 Suppose -5*s + 265 = -t, -2*s + 4*t = 3*s - 250. Let m = -1945 - -3401. Calculate the remainder when m is divided by s. 52 Suppose 67*o - 5*n + 147 = 68*o, -5*n = -o + 217. Calculate the remainder when o is divided by 1/((-1)/37*-1). 34 Let i = -2 - -83. Suppose -3*f = 4*w - 187, 2*w + 0*w - f = i. Suppose 0 = a + 4*k - 33 - 110, 5*k + 488 = 4*a. What is the remainder when a is divided by w? 41 Let z = -1798 + 2082. Calculate the remainder when z is divided by 13. 11 What is the remainder when ((-4)/12*7)/((-4056)/(-4059) - 1) is divided by 1050? 7 Suppose 6*o - 7 - 23 = 0. Suppose -13*q + 60 = 2*q. Suppose 4*y = 4, -q*y = -6*a + a + 161. What is the remainder when a is divided by o? 3 Suppose 4*u = 386 + 22. What is the remainder when u is divided by -7*3*(-60)/35? 30 Suppose 51*g + 308 = 73*g. Let m(v) = v**2 + 2*v + 6. Let c be m(8). Suppose 0 = -3*z + c + 34. Calculate the remainder when z is divided by g. 12 Let k = -2645 - -2794. What is the remainder when 363 is divided by k? 65 Let j = -166 + 160. Calculate the remainder when 178 is divided by -4*(9 - j)/(-3). 18 Let w = -2285 - -2364. Calculate the remainder when w is divided by 53. 26 Suppose -s - 2*g = -70, 18*s - 20*s + 3*g = -182. Calculate the remainder when 146 is divided by s. 64 Let a = -76 + -117. Let f = a - -256. Let w = -38 + 60. What is the remainder when f is divided by w? 19 Let c(h) = -250*h**3 + h**2 - h - 1. Let k be c(-1). Let q = k - 212. What is the remainder when q is divided by 4? 3 Suppose l - 119 = -2*j, 3*l + l = 4*j + 512. Let x(w) = 2*w**3 + 77*w**2 + 369*w + 211. What is the remainder when l is divided by x(-33)? 8 Let z(m) = -2*m - 11*m + 8 + 14*m - m**3. Let f be z(0). Let r(w) = 5*w - 28. Calculate the remainder when 105 is divided by r(f). 9 Let b(g) = g**2 + 5. Suppose 7*r - 290 = -325. Calculate the remainder when b(r) is divided by 5. 0 Let h(k) = -k**3 + 41*k**2 - 79*k + 50. Let y = -43 - -48. Calculate the remainder when h(39) is divided by y. 1 Let t = 6347 - 6329. What is the remainder when 1453 is divided by t? 13 Suppose 148 = 9*v - 257. Suppose -5*y + v = 4*w - 78, 121 = 5*y + 3*w. What is the remainder when 183 is divided by y? 22 Let l = 383 - 381. Suppose -l*b - 2*j = -94, -11 = -4*j - 31. What is the remainder when b is divided by ((-27)/(-2))/(3/6)? 25 Let d = 1 - -77. Calculate the remainder when d is divided by (13/(364/245))/((-10)/(-16)). 8 Calculate the remainder when 269 is divided by (1640/80 - 18)*(-1 + 87). 54 Let a = 3935 + -2189. Suppose 5*o = y + 11922 - 3230, -o + 4*y + a = 0. What is the remainder when (6/4)/(11/o) is divided by 30? 27 Calculate the remainder when 431 is divided by ((-112)/(-64))/(3 - (-526)/(-176)). 123 Suppose -o + 4*w + 23 + 355 = 0, w - 1017 = -3*o. Calculate the remainder when o is divided by 270. 72 Suppose -11*i = -58*i + 7050. Let h = 223 + i. What is the remainder when h is divided by 25? 23 Let a be 1/((-42)/(-3720))*21/6. Suppose 113 + a = 9*h. Calculate the remainder when h is divided by 8. 7 Suppose -q = h - 316, 0 = 24*q - 29*q - h + 1580. What is the remainder when q is divided by 173? 143 Let x(q) = 2*q**2 + 8*q - 21. Let o be x(-11). Let a = o - 31. Let w(z) = -z**2 + z + 26. Calculate the remainder when a is divided by w(0). 24 Let h be 0*(1/6)/((-4)/24). Suppose -5*p + 3*m + 85 = h, 0*p + p - 4*m = 34. What is the remainder when 80 is divided by p? 10 Suppose 2*y - 3*l - 1475 = 0, -3*y - 75*l + 80*l = -2209. What is the remainder when y is divided by 189? 181 Let z = 13 + -13. Suppose 235 = 5*b - 4*k, z = -b - 5*k + 24 + 52. What is the remainder when 99 is divided by b? 48 Let n = 59923 + -59872. What is the remainder when n is divided by (-1)/(-1 + 26/27)? 24 Let n = -224 - -104. Calculate the remainder when 11 is divided by (-760)/n - (1 - (-5)/(-3)). 4 Suppose -101*k + 94*k = 105. Let v(p) = p**3 + 16*p**2 - 9*p - 90. Calculate the remainder when v(k) is divided by 39. 36 Let g = 2347 - 2332. What is the remainder when 40 is divided by g? 10 Suppose w = -3*d - 2*w + 54, 0 = -4*d - 3*w + 72. Suppose -3*y + 24 = d. Calculate the remainder when y is divided by 2. 0 Let h be -3 + (-2812)/(-16) + 1/4. Let l = h + 81. Calculate the remainder when l is divided by 51. 50 Suppose -12*g - 123 = 3*p, -p + 3*g = 81 - 124. Suppose -3*w - 5*u = 70 - 176, -w + 42 = 5*u. What is the remainder when w is divided by p? 4 Calculate the remainder when 1645 is divided by -3*6/90*-27 - 16/40. 0 What is the remainder when (-7800)/(-250) + (-1)/5 is divided by 44/5 + 0 - 33/(-165)? 4 Suppose 0 = -0*a + 2*a - 4. What is the remainder when 2 + 0 + -3 + 60 + (13 - 21) is divided by (-27)/(a - (1 - -2))? 24 Let g = -137 + 241. Let i = g - 85. Let c(p) = 6*p**2 - p + 2. Calculate the remainder when c(3) is divided by i. 15 Let n(j) = 109*j - 2375. What is the remainder when n(27) is divided by 278? 12 Let g(w) = -312*w - 1723. Calculate the remainder when 160 is divided by g(-6). 11 Let q be 2/(-6) + (-16)/(-3). Suppose q*f - 185 = 5*m, -4*f - 4*m + 138 + 10 = 0. What is the remainder when f
{ "pile_set_name": "DM Mathematics" }
0.5824950025 to 5 decimal places. 0.5825 Round -0.178805499 to 3 dps. -0.179 What is -202.61346 rounded to the nearest one hundred? -200 What is -6.0103041 rounded to 0 decimal places? -6 What is -16487642.138 rounded to the nearest 100000? -16500000 What is 3216.63042 rounded to the nearest 1000? 3000 Round 0.00004854767741 to 7 decimal places. 0.0000485 Round 942.35119 to the nearest ten. 940 Round 0.0000097164553 to seven dps. 0.0000097 Round -0.128926326 to two dps. -0.13 Round -11112482664 to the nearest one hundred thousand. -11112500000 What is 0.28006865 rounded to one dp? 0.3 What is 15201.26529 rounded to the nearest one thousand? 15000 Round -0.0016017697 to 4 decimal places. -0.0016 Round 0.00163916776 to seven dps. 0.0016392 What is -0.87729563 rounded to three dps? -0.877 What is -0.000009416358824 rounded to seven dps? -0.0000094 Round 20298.996 to the nearest 100. 20300 What is -0.00186861278 rounded to five dps? -0.00187 Round 8.23073289 to four decimal places. 8.2307 What is -0.0454585921 rounded to three decimal places? -0.045 Round -7757500 to the nearest 100000. -7800000 Round 200410430 to the nearest one million. 200000000 Round -0.00094702581 to seven decimal places. -0.000947 Round -0.000301912512 to 5 dps. -0.0003 What is -0.0000506294312 rounded to six decimal places? -0.000051 Round -0.0009795261102 to six dps. -0.00098 What is 0.0000326670523 rounded to seven decimal places? 0.0000327 Round -3605116.372 to the nearest 100. -3605100 Round -0.000790404899 to 4 decimal places. -0.0008 What is 298651.591 rounded to the nearest one hundred thousand? 300000 Round 86.0686612 to the nearest 10. 90 What is -214585894.5 rounded to the nearest one million? -215000000 What is -251299.714 rounded to the nearest ten? -251300 Round 1133475.55 to the nearest 100000. 1100000 Round -0.00162010522 to four dps. -0.0016 Round 0.3445144085 to five dps. 0.34451 Round -0.024608544 to 3 decimal places. -0.025 What is -1241778.996 rounded to the nearest ten thousand? -1240000 What is -0.000442999301 rounded to seven decimal places? -0.000443 What is -3962.18407 rounded to the nearest 1000? -4000 What is -416880.7373 rounded to the nearest one thousand? -417000 What is -0.0105025941 rounded to 4 dps? -0.0105 Round 0.00001023685363 to 6 dps. 0.00001 What is -0.00012718865 rounded to seven decimal places? -0.0001272 Round -11.0993267 to 2 dps. -11.1 Round 1957990.7 to the nearest ten thousand. 1960000 Round 0.00595107508 to 7 dps. 0.0059511 Round -52572.6882 to the nearest one thousand. -53000 Round -0.06882446244 to two dps. -0.07 What is -496.772761 rounded to zero dps? -497 Round 9751492.081 to the nearest 1000000. 10000000 Round 3771264.83 to the nearest one hundred thousand. 3800000 Round -0.000014812460669 to 6 decimal places. -0.000015 What is 1.003316718 rounded to one dp? 1 What is -1.040812882 rounded to 4 dps? -1.0408 What is -2248.30539 rounded to the nearest integer? -2248 Round -21367.554 to the nearest 10. -21370 Round -142024.11 to the nearest 1000. -142000 What is 651022.043 rounded to the nearest 10000? 650000 Round -6839350.3 to the nearest ten thousand. -6840000 Round 0.000439684806 to six decimal places. 0.00044 What is -1.5197514 rounded to 4 dps? -1.5198 What is -161.696032 rounded to 1 decimal place? -161.7 What is 0.00050680874 rounded to seven dps? 0.0005068 Round -7962.89639 to the nearest 1000. -8000 What is -41382655.2 rounded to the nearest 10000? -41380000 What is -3305.7433 rounded to 1 decimal place? -3305.7 Round 93630.1059 to the nearest 100. 93600 Round -222549.164 to the nearest 100000. -200000 What is -2926680.24 rounded to the nearest 100000? -2900000 What is -1247722.637 rounded to the nearest 1000? -1248000 What is 0.00003245763839 rounded to 7 dps? 0.0000325 What is -9383261670 rounded to the nearest 1000000? -9383000000 What is 32.7617167 rounded to 3 dps? 32.762 Round -1476641070 to the nearest 1000000. -1477000000 What is 17.4809766 rounded to the nearest 10? 20 Round 9512568 to the nearest 100. 9512600 What is 1065.667 rounded to the nearest 10? 1070 Round -9.8388087 to 1 decimal place. -9.8 What is 0.14601216737 rounded to 6 dps? 0.146012 Round -60454900 to the nearest ten thousand. -60450000 What is -0.000000083337062 rounded to 7 dps? -0.0000001 Round 940.5759649 to the nearest ten. 940 What is -142662110 rounded to the nearest one hundred thousand? -142700000 What is -156.227328 rounded to 1 decimal place? -156.2 What is 371558740 rounded to the nearest one million? 372000000 Round -352.706745 to the nearest integer. -353 What is 0.11579099 rounded to two dps? 0.12 What is 0.00000848618181 rounded to seven dps? 0.0000085 What is 9770297.88 rounded to the nearest 100000? 9800000 Round -116559112.9 to the nearest 10000. -116560000 What is 293672048.3 rounded to the nearest one million? 294000000 Round 358680.147 to the nearest 100. 358700 What is 5.67280645 rounded to three dps? 5.673 Round -0.00118744781 to five dps. -0.00119 What is 772260.6558 rounded to the nearest 100000? 800000 What is 554034269.7 rounded to the nearest one hundred thousand? 554000000 What is 0.00008061708532 rounded to seven decimal places? 0.0000806 Round -9.0104728 to 0 decimal places. -9 Round 54.847192 to the nearest 10. 50 What is 420284.771 rounded to the nearest ten? 420280 What is 54.6637494 rounded to 3 dps? 54.664 Round -25133968.9 to the nearest 10000. -25130000 What is -198870680 rounded to the nearest 1000000? -199000000 Round -0.004855296176 to 4 decimal places. -0.0049 Round -56.61944972 to two dps. -56.62 What is 946.328202 rounded to the nearest ten? 950 What is -0.00000734670128 rounded to six dps? -0.000007 Round -13844596.6 to the nearest 10000. -13840000 What is 9274.5343 rounded to the nearest ten? 9270 Round -30890080.166 to the nearest 100. -30890100 Round -29293645.57 to the nearest 1000000. -29000000 Round 12.4998413 to one dp. 12.5 Round -0.057041342 to 1 dp. -0.1 Round 0.143286933 to three decimal places. 0.143 What is -1.761946 rounded to zero decimal places? -2 What is 1.337761997 rounded to 1 decimal place? 1.3 What is -0.0000052272904 rounded to 7 decimal places? -0.0000052 What is -9894.0571 rounded to the nearest ten? -9890 What is 9452868.1 rounded to the nearest ten thousand? 9450000 Round -0.000002533452951 to 7 dps. -0.0000025 Round -916.31126 to 0 decimal places. -916 What is -1577274243 rounded to the nearest ten thousand? -1577270000 Round -3870672.001 to the nearest 100000. -3900000 What is 0.084931426 rounded to four decimal places? 0.0849 What is 94660830.7 rounded to the nearest one hundred thousand? 94700000 What is 185.38316 rounded to zero decimal places? 185 What is -216.6866817 rounded to the nearest 100? -200 What is -378.980758 rounded to the nearest 10? -380 What is -3606.326302 rounded to the nearest 10? -3610 What is -0.7820697 rounded to 3 decimal places? -0.782 What is -38243.16912 rounded to the nearest one hundred? -38200 Round -89.1295188 to the nearest ten. -90 Round 0.238329373 to one dp. 0.2 What is -0.75233772 rounded to four decimal places? -0.7523 Round -0.00065367768 to six decimal places. -0.000654 What is 11669.58373 rounded to 0 dps? 11670 What is -77.42111091 rounded to 1 decimal place? -77.4 What is 0.0306395013 rounded to six decimal places? 0.03064 Round -7159110.7 to the nearest 1000. -7159000 Round 26610908.4 to the nearest one hundred thousand. 26600000 What is -0.019451646 rounded to five decimal places? -0.01945 Round 0.0000056472271 to six dps. 0.000006 Round -1673498403 to the nearest one million. -1673000000 What is 2216.82004 rounded to the nearest ten? 2220 Round 0.0013252077 to four decimal places. 0.0013 What is -0.000182649179 rounded to five dps? -0.00018 Round 0.00466577299 to seven dps. 0.0046658 What is 125.869241 rounded to the nearest ten? 130 What is -119904540 rounded to the nearest one hundred thousand? -119900000 Round -0.000026587503501 to seven dps. -0.0000266 Round -0.055827683 to six decimal places. -0.055828 What is -0.000019426045 rounded to 6 dps? -0.000019 What is 370.3654845 rounded to the nearest 100? 400 Round 0.45193715 to one dp. 0.5 Round 181937098 to the nearest 10000. 181940000 What is -6.53263215 rounded t
{ "pile_set_name": "DM Mathematics" }
t, 13, 0.5 in decreasing order. 13, 2, 0.5, t, -0.4 Let l = -34806 - -34811. Sort 3, -7, 68, l. -7, 3, l, 68 Let x be -12*(-6 - 95/(-15)). Put 652, x, 0 in descending order. 652, 0, x Let w be 1 + (-50)/6 + (-33)/(2673/(-189)). Put 0, w, 45 in ascending order. w, 0, 45 Let n be (0 - -2)/(2/3). Suppose -n*z + 8 = 3*a + 17, -4*a = 16. Let c = 1387/6 - 231. Sort z, c, 0.3, 2/15 in descending order. z, 0.3, c, 2/15 Let b(x) = 0*x + 2*x - x + 6. Let w be b(-4). Let d be -2 + 80/16 + -6. Sort d, w, -5 in descending order. w, d, -5 Suppose -517*y + 529*y + 12 = 0. Let q be (-12)/(-54) - (-25)/9. Suppose -f - 3 - q = 0. Sort y, 2, 5, f. f, y, 2, 5 Let s = -32.7 + 40.43. Let f = s + 0.27. Let h = 52/175 - 2/175. Sort h, 3, f. h, 3, f Let c = 11928 - 11927. Put 0, 48, 4, -2, c in increasing order. -2, 0, c, 4, 48 Let k = -381.3 - -42.3. Let x = -344 - k. Let h = -0.04 + -0.76. Put h, 0, 2/7, x in ascending order. x, h, 0, 2/7 Let n = -3503 + 3503.5. Put 3/2, 2.8, 1/6, n in ascending order. 1/6, n, 3/2, 2.8 Let q = -16685 - -150164/9. Sort -3/8, 0.3, -5, q in decreasing order. 0.3, q, -3/8, -5 Let m(p) = -p**3 + 3*p**2 + 12*p - 12. Let j be m(5). Let v be (-323)/(-3) + j/(-6). Let b be v/(-26) - (-14)/91. Sort 7, 5, b, 1. b, 1, 5, 7 Suppose -3*o + 31 = 4*h, 0*h + 33 = 5*o + 2*h. Let z(v) be the first derivative of -9*v**2/2 + 439*v + 264. Let j be z(48). Sort -2, j, o in ascending order. -2, o, j Suppose -4*v - 2*q = -8, -4*v + 94*q = 98*q - 20. Sort v, 15/2, -40, -1/2 in decreasing order. 15/2, -1/2, v, -40 Suppose 106*m + 39*m = -2 + 2. Sort m, -66, 9 in ascending order. -66, m, 9 Let f be (-5997)/(-132) + -44 - (-2)/(-11). Sort -0.41, -0.9, f in decreasing order. f, -0.41, -0.9 Let m be (0 - (-2)/(-1)) + 2. Let h = -82442 + 82438. Sort h, m, 4 in increasing order. h, m, 4 Let k = -290 + 302. Suppose -390 = -k*s - 330. Let v = -19 + 10. Sort v, s, 2. v, 2, s Let i = 16.86 - 12.86. Let f = 0.8 - -0.2. Put i, f, 2/13 in increasing order. 2/13, f, i Suppose -5*p = 2*q + 15, -2*q + p = -p - 6. Let d be 4/(-8)*3*(-8)/6. Sort -3, d, q, 5 in ascending order. -3, q, d, 5 Let q = -1/7158 + 257765/551166. Let b = q - 2/7. Let j = 109/1038 - -79/346. Sort b, j, 1/7, -2. -2, 1/7, b, j Suppose -s + 12*u + 3 = 13*u, -3*s - 21 = -3*u. Suppose -59*g + 56*g - 3 = 0. Sort -4, g, s, 4 in descending order. 4, g, s, -4 Let k be ((-616)/110)/(-28)*1. Sort -4/3, 86, 2, k, -0.3 in decreasing order. 86, 2, k, -0.3, -4/3 Let k = -3 - -6. Let j = -116.5 + 116. Put -4, k, 0, j in decreasing order. k, 0, j, -4 Let t be ((-20174)/(-1012) - 20)/(6/(-8)). Put 54, t, 0.1, -5 in decreasing order. 54, 0.1, t, -5 Let x = -20.878 + 19.878. Sort x, 2/15, 5, -0.2 in descending order. 5, 2/15, -0.2, x Let w = 2854 + -31396/11. Let f = -10/23 - -89/46. Sort w, -1, f in decreasing order. f, w, -1 Let q = -154.059 + 0.059. Let p = q - -39. Let u = -113 - p. Put -0.2, 0.4, u in descending order. u, 0.4, -0.2 Let j = -68.55 + 101.58. Let f = j - 0.03. Let w = -34 + f. Sort 0, w, -2 in descending order. 0, w, -2 Let o = 0.3 - 0.7. Let f be 4 - 17/((-136)/48). Put 3, 0, f, o in descending order. f, 3, 0, o Suppose -3*l - 5*r - 5 - 16 = 0, 4*l + 51 = r. Put l, -4, -5, 2, 3 in decreasing order. 3, 2, -4, -5, l Let w = 272 + -238. Suppose -31*c = -w*c + 6. Let f = -4 - -2. Sort f, 3, c, 1 in increasing order. f, 1, c, 3 Let u = 2942 + -2942.2. Sort -14, u, 0.3, -3 in ascending order. -14, -3, u, 0.3 Let v = 2 - 1. Let z(k) = 2*k**3 - 2*k**2 + 1. Let c be z(v). Let s be 41 + (-1 - (-1216)/(-32)). Sort c, s, -3, -1 in decreasing order. s, c, -1, -3 Let t(c) = 15*c**2 + 104*c + 10. Let g be t(-7). Suppose 5*x - 23 = g. Sort -3, x, -4, 2 in descending order. x, 2, -3, -4 Let t be ((-4)/(-10))/((-4)/(-8)*4). Sort 38, 0.02, t, 1 in ascending order. 0.02, t, 1, 38 Let p be 2/6 - 28/(-6). Let v = 153343 + -153347. Put 2, 18, v, p in descending order. 18, p, 2, v Let c = 6696 - 6672. Sort 4/3, 16, c in decreasing order. c, 16, 4/3 Suppose -29*y = -6*y. Suppose y = d - 10*f + 6*f - 11, -3*d - 3*f - 12 = 0. Put 1, d, -2/5 in descending order. 1, -2/5, d Let f = -594 + 1019. Let t = -426 + f. Put 8, t, 1, -3 in ascending order. -3, t, 1, 8 Let q = 2365 - 2369. Sort q, 4, -96, 0. -96, q, 0, 4 Suppose 4*v = -3*q - 53, q - v = 15 - 21. Sort 2, 9, q. q, 2, 9 Let k = 1316 - 1285. Sort k, 2, 5 in increasing order. 2, 5, k Let t(q) = -6*q - 113. Let g(u) = 2*u - 1. Let p(l) = -g(l) - t(l). Let x be p(-29). Let z = -90/13 + 1556/221. Sort z, x, -2/21 in decreasing order. z, -2/21, x Let h be (0 - -20)/(-2) + 5*1. Suppose 0 = 4*p - 11*p + 28. Sort p, h, 8 in descending order. 8, p, h Suppose 19*f - 125 = 8*f - 14*f. Put 45, 1/8, f in ascending order. 1/8, f, 45 Let q(z) = -101*z + 3428. Let p be q(34). Sort 9, 7, p in descending order. 9, 7, p Let z be 69/9 + 1*(-4)/6. Let k be -2 + 5 - (-6)/2. Suppose -3*l - k = -21. Put z, l, -4 in ascending order. -4, l, z Let n be ((-7)/2114)/((-1)/(-1506)) + (7 - 2). Sort -0.1, n, -1/2 in decreasing order. n, -0.1, -1/2 Let y = -1631/2 - -816. Suppose -v = -5*v + 76. Put v, 4, y in increasing order. y, 4, v Let n be ((-11)/2)/(8 + -6) - (-49)/28. Put n, -0.1, 1/6, -311/4 in increasing order. -311/4, n, -0.1, 1/6 Let r = 17 - 12. Let t be 670/804*((-9)/(-15) + -1). Sort r, -1, t. -1, t, r Let w(k) = -169*k**2 - 1237*k - 14. Let r be w(-7). Sort -3, 4, -1, r, -4. -4, -3, -1, 4, r Let z(x) = x**3 + 6*x**2 + x + 1. Let a be z(-6). Let j = 4.980939 - -0.019061. Put 6/13, a, j in increasing order. a, 6/13, j Suppose -4*m = 2*y - 36, -2*y - 1 = -2*m - 55. Suppose -4 = 2*c - 3*l - 1, y = 5*c + 3*l. Let g be 6 + -2*1/2. Sort g, c, -3. -3, c, g Let c = -11 - -7. Let l be (-2)/c*4/1. Suppose -8*t + 4*t + q = 1, 0 = -3*q + 15. Put 3, l, t in decreasing order. 3, l, t Let n = -5.7 - -0.7. Suppose -373 = -5*f - 403. Let b be 1*f/12*(0 - 0). Put -1/4, 3, n, b in descending order. 3, b, -1/4, n Let h(g) = 2*g**2 + 83*g - 55. Let d be h(-42). Sort 1, d, 15, 4. d, 1, 4, 15 Suppose -2*b - 245 = -5*w, 3*w - 163 + 30 = 4*b. Suppose -12*c = 15 - w. Put -5, -1, -24, c in descending order. c, -1, -5, -24 Suppose 5*q = -0*q - 5*i, -3*q = -3*i + 6. Let m be 3/(-2 + 33/12). Let l = -9 + m. Put -3, q, l in decreasing order. q, -3, l Let h = -48/755 + -611/2265. Sort 0.09, h, -0.09 in decreasing order. 0.09, -0.09, h Suppose -2*r + 2 = -r. Let x be 22071/(-60)*r/(-7). Let d = 105 - x. Sort -2, d, -0.2, -4 in decreasing order. d, -0.2, -2, -4 Let b = 4493 - 4494. Put -54, 0.2, 0.5, b in ascending order. -54, b, 0.2, 0.5 Suppose -5*s = 3*m + 1, 0*m + 10 = 4*m + s. Suppose -2*a + m = -7. Suppose -4*g = 5*t - a, -4*g - 6*t + 2*t = 0. Put 2, g, 3 in descending order. 3, 2, g Let z(m) = 2*m**3 - 6*m**2 + 9*m - 47. Let x be z(4). Put -4, x, 5, 3 in decreasing order. x, 5, 3, -4 Suppose -35*f = -40*f + 3*l - 60, -l = -2*f - 24. Put 0.3, 2/35, f in increasing order. f, 2/35, 0.3 Let y = -2 - 0. Let a = -34.882 - -38.882. Put 7, -5, y, a in decreasing order. 7, a, y, -5 Let j = -18269 + 18295. Sort 1/7, 0, j, 0.6. 0, 1/7, 0.6, j Suppose -24 = 9*l + 4*l - 5*l. Sort -1/3, 1/2, 9, l in descending order. 9, 1/2, -1/3, l Suppose 299*a = 420*a + 399 + 85. Sort a, -2, 4, -102 in increasing order. -102, a, -2, 4 Let l = 508 - 504. Suppose 0 = -5*u - 5*k - 30, 7*u - l*k - 15 = 8*u. Suppose j + 0 + 4 = 0. Sort j, u, 2 in descending order. 2, u, j Let n = 13865 + -13865. Let v = -10.7 + 11. Sort n, v, 5/11 in ascending order. n, v, 5/11 Suppose t - 7 + 2 = -l, -t + 4*l - 15 = 0. Suppose 18*d = 45 + 9. Sort 8, 2, t, d in ascending order. t, 2, d, 8 Let u = 94.4 + -97. Let n = -3.6 - u. Let b = 33 + -12. Sort n, 4, b. n, 4, b Let o = -247 + 247.3. Let y = 113 + -561/5. Put y, o, 0.5, -0.5 in ascending order. -0.5, o, 0.5, y Let x(p) = p**2 + 0*p**2 - 14*p + 17 + 9 + 0. Let q be x(11). Put 5, -4, q, 3 in descending order. 5, 3, -4, q Suppose -45*f = 123*f + 672. Sort -9, -218, 5, f. -218, -9, f, 5 Let q = -283 + 281.8. Suppose -5*a + 31 = 2*f, 23 = 4*a - f + 6. Sort q, 7/5, a in descending order. a, 7/5, q Let d = -0.613 + 0.613. Let z = 18 - 19. Put z, -2, d, -1/3 in decreasing order. d, -1/3, z, -2 Let h = 314.693 - 315. Let z = h + 13.007. Let d = 6.7 - z. Put -5/2, d, 2/13 in increasing order. d, -5/2, 2/13 Suppose -2*r - 6*r
{ "pile_set_name": "DM Mathematics" }
maller than f? True Let b be (24/10)/((-6)/(-80)). Let x be 1/4 - (-8)/b. Which is smaller: -1 or x? -1 Let h(x) = 3*x**3 - 10*x**2 + 2*x + 3. Let w be h(3). Do -1/27 and w have the same value? False Let g(r) = 3*r**2 + 2*r - 1. Let u be g(-2). Let s = u - 4. Suppose s*v = v - 12. Which is greater: -7 or v? v Let q(b) = -b + 1. Let u be q(-2). Let y = -3 - u. Let w be ((-6)/(-4))/(3/y). Which is smaller: w or -0.1? w Let y(r) be the second derivative of -r**4/12 - 4*r**3/3 - 7*r**2/2 - 4*r. Let b be y(-7). Which is smaller: -1 or b? -1 Let b be ((-2 - 1) + 4)/1. Suppose -42 = 3*q + 3*l - 0*l, -q + 5*l = 14. Let u be b - ((-80)/q)/4. Which is smaller: u or 1? u Let u = 1/6 + -1/4. Is 1 less than u? False Let m be 0 - -1*(1 - -2). Let z be 1*3/m + -4. Let l = z + 10/3. Are l and -2/5 non-equal? True Let r be (1/3)/((-1)/(-6)). Suppose -3 = r*f - 1. Let m(v) = -v**3 + 3*v**2 + v - 4. Let t be m(3). Is f less than t? False Let c(v) = -9*v + 5. Let q(m) = m - 1. Let t(p) = c(p) + 6*q(p). Let h be t(1). Which is smaller: h or -5? -5 Suppose 0*f + 3*f - 15 = 0, 5*g - f = 5. Suppose -4*c + 5*c + g = 0. Which is smaller: c or -1? c Let a = 27 - -4. Which is greater: 30 or a? a Let q = 11 + -8. Let a be (q/18)/((-3)/4). Which is smaller: a or -1? -1 Let o be 2/5 - ((-12)/4)/15. Is o <= -0.4? False Let q(i) = -3*i - 1. Let f be q(-2). Suppose f*u + 11 = -m, -2*m + u + 3*u = -20. Suppose m*d + 5 = 1. Which is smaller: 0 or d? d Suppose -4 = 13*o - 17*o. Let p(f) = f**3 - 4*f**2 - 1. Let l be p(4). Are o and l nonequal? True Let d be 6*5/(315/6). Is d bigger than 0? True Let y be (-2 - 1) + 3*1. Suppose y = -3*g + 8*g + 10. Which is smaller: g or -1/2? g Let g = 30.15 + -30. Which is greater: g or 0.1? g Let m = -59/2 + 30. Which is smaller: m or 67? m Suppose -3*t = -w + 5, 0*w + 2*w - 1 = -3*t. Do t and -4/7 have the same value? False Let x be ((-48)/42)/((-6)/(-3)). Which is smaller: 3/5 or x? x Let i = 10 - 7. Does i = 4? False Let v = -19 + 21. Are -6 and v unequal? True Let c = 25 + -25. Which is bigger: c or -0.12? c Suppose 0 = 2*t - 0*t + t. Is t smaller than -1/22? False Let k be (-72)/96 - 114/(-88). Which is greater: k or 0? k Let g = -0.2 - -0.2. Let f = -5 + 4.9. Let x = 0 + f. Which is smaller: x or g? x Suppose 5*o + 12 = -o. Let m(d) = -d**2 - 5*d - 3. Let x be m(-2). Suppose 7 + 2 = -x*r. Which is smaller: r or o? r Suppose -40 + 5 = 5*c. Do -9 and c have the same value? False Suppose 0 = -0*k - 2*k + 12. Is k smaller than 4? False Suppose -2*d = -5*t - 20, -d + 1 = -2*t - 8. Let w = 5 + t. Let c be ((-2)/(-12))/(w/15). Do c and 0 have different values? True Let a = -44 - -44. Is a equal to 2/11? False Suppose 3*s = 5*q + 12, -3*s + 5 = -7. Is q >= 2/41? False Let z = 24 + -33. Which is smaller: -3 or z? z Let d = 0.1 - 0. Do d and -111 have different values? True Let b = -24.1 + 24. Which is smaller: b or 0.3? b Suppose 0 = 5*n + 4*g + 31, -27 = 5*n - g + 4*g. Which is greater: n or -5? n Let r(b) = 2*b**3 + b**2 + 2*b + 1. Let x be r(-1). Let k = -8 - x. Let f(d) = d + 7. Let o be f(k). Do -1/3 and o have the same value? False Suppose -2*f = 2*n + 12, -f - 39 = 3*n + n. Are -12 and n non-equal? True Suppose 0 = 3*t + 14 + 7. Let x = 6 + t. Is -3/10 bigger than x? True Let z(k) = 2*k**3 + k**2 + 1 - 2 + k**3. Let l be z(1). Suppose 3*h + l*s - 3 = 0, -2*s + 1 = h - 3*s. Which is greater: -1 or h? h Suppose 4*u + 3 = -1, -c - 8 = 4*u. Let s = 2 - 5. Which is smaller: s or c? c Let b be -3*(-1 - -2)*1. Let d(i) = -i**2 + 6*i - 6. Let n be d(3). Suppose -h = 5 - n. Which is greater: b or h? h Suppose -5*t = -3*t - 10. Suppose -t*p - 4 = 1. Let n = 98/5 + -20. Is n != p? True Let c be (-105)/(-9) + (-2)/3. Let x be (-2)/c - 8/(-44). Let l = 239/12 + -62/3. Is l <= x? True Suppose 2*v = -l + 164 - 25, -2*l + 62 = v. Suppose k - 5*k = -v. Are 18 and k non-equal? False Suppose -4*q - 812 = -3*r, -279 = 5*q + 5*r + 701. Let m be (-1)/(-6) - q/(-48). Let j = -4 - m. Which is smaller: j or 2/11? j Let a = 119 - 120. Which is greater: a or 35? 35 Let m = 15005 + -360043/24. Let c = -27/8 + m. Is 0 greater than or equal to c? True Let f = -0.01 + 2.01. Let m = 25 - 25.2. Is m bigger than f? False Suppose 3 = 5*g - 12. Suppose -g*i + 8 = -i. Suppose 2 = -3*s - i. Is -1/2 at least as big as s? True Let m(w) = -w**2 + 4*w - 2. Let c be m(2). Let b be c + -1 - (-15)/(-24). Which is bigger: -0.1 or b? b Let i be 0 - -2 - -10*1. Suppose -i = -n + 3*u, -u - 17 = -3*n + 3. Suppose 5*c - 2*c = n. Is c bigger than 2? False Let j = 17/8 - 53/40. Suppose l - 2 + 0 = 4*q, 0 = 4*q - 4*l + 8. Is q not equal to j? True Let w = -23 + 16. Let v = -84.6 + 86.6. Which is bigger: v or w? v Suppose 4*k - 3*c + 90 = 0, -5*k - 2*c - 37 = 64. Let f be k/(-9) + (-4)/(-6). Suppose -2 = -f*m - 11. Are m and -3 non-equal? False Let m = -191/6 - -32. Suppose 4*f + 2*p = 6, 5*p = -0*f + 5*f. Which is smaller: f or m? m Let o = 162 + -163. Let y = -7/6 - -79/78. Which is smaller: y or o? o Suppose 15 = 4*g + 3*p, -4 = -3*p - 1. Suppose g*n = n + 4. Suppose n + 4 = 2*l. Which is greater: l or 1? l Suppose 0 = -10*t + 2 + 38. Suppose -m + 4*m = -4*x + 38, -8 = -4*x. Let f be m/4 - 2/(-4). Which is smaller: f or t? f Let c(r) = -r + 2. Let w(d) = 1. Let j(n) = -c(n) + 3*w(n). Let z be j(-1). Suppose z = -3*i + 3, -g - 3*i - i + 6 = 0. Which is bigger: g or 1? g Let i(w) = -w + 8. Let f = -2 - -2. Suppose 2*n - 21 = -l, f*l + 17 = -n + 5*l. Let k be i(n). Which is greater: -1 or k? k Let m = -49/5 - -149/15. Let z be (-2)/1*4/(-8). Which is bigger: z or m? z Let o(h) = 2 - h + 3 + 1. Let q be o(6). Let r be -2 + 3 - (-30)/(-34). Is r at least as big as q? True Suppose 6*r - 3*r = 9, 4*k = 5*r - 7. Let d be 6/4*k/3. Which is smaller: -3/7 or d? -3/7 Let h(g) = -g**3 - 2*g**2 - 2*g - 3. Let w be h(-2). Is -5 >= w? False Let o = 49 + -43.2. Let d = o + -0.8. Let r = d + -4. Is 0 >= r? False Suppose -2*w - 3 = -w. Let v(i) = -i**2 - 4*i. Let o be v(w). Suppose g + 9 = o. Which is bigger: -5 or g? -5 Let t = 33323/143070 - -2/4769. Let u = -2/5 + t. Which is smaller: u or 0? u Let p be (11/(-4))/(3/12). Is -11 greater than or equal to p? True Let m be (10/3*-3)/2. Which is greater: m or -7? m Let z be 15/(-10)*44/6. Which is greater: -10 or z? -10 Let k(d) = d**3 - 5*d**2 - 8*d + 8. Let s be k(6). Let w = -0.23 - -0.41. Let g = -0.08 + w. Is g at most s? False Suppose 0*h + 5*h + 30 = 0. Let a be -5 - 0/(5/5). Which is greater: h or a? a Suppose 0 = -3*q + 15, 4*u = -3*q + 2 + 25. Let t be u/(-6) + 1/(-8). Which is bigger: t or 0? 0 Let t = 71 - 150. Is t smaller than 1? True Suppose -4*y + 3*i - 4*i - 28 = 0, 2*i - 16 = 4*y. Let z = y - -4. Let w be (-8)/z - (-3 - -1). Is 6 bigger than w? False Let t(v) = 3*v**2. Let r be t(1). Suppose -3*j + r = -0. Let s(p) = -2*p**2. Let n be s(-1). Which is smaller: n or j? n Let b be (2/4)/((-2)/(-8)). Suppose 5*j + 4*o + 16 + 7 = 0, 0 = 5*j + 2*o + 19. Let r(p) = p**3 + 4*p**2 + 4*p + 4. Let i be r(j). Is i != b? True Let h = 84 - 78. Is 5 < h? True Let g = 11 + -11.1. Is g at most 0.06? True Let k = -26.25 - -26. Let v = k + 11.25. Which is greater: -1 or v? v Suppose -4*q + 2*h = -0 - 8, 2*q = 2*h + 2. Let y be (-4)/10*(-2)/4. Is y not equal to q? True Suppose -c + 4 = c. Let j = 3 - c. Which is smaller: j or -1/5? -1/5 Let y be 15 + -2 - (1 - -3). Which is greater: y or 8? y Suppose 3*j = -17 + 32. Which is bigger: 3 or j? j Let q(a) = -a**2 + a - 1. Let w(k) = -k**2 + k - 1. Let x(s) = 2*q(s) - 3*w(s). Let p be (-2)/4*1*-2. Let g be x(p). Is g at least as big as -4? True Suppose x + r = 6, -17 = -3*x + r - 3. Suppose -37 = 4*g + 5*b, -4*g - 2*b = -0*b + 22. Let v = g + x. Are v and 2 equal? True Suppose 0*a = -2*a - 32. Let c = a + 16. Let q be 2/(-7) + 10/(-14). Is c greater than q? True Let j be 3/(-4) + (-93)/(-12). Let w be (j - 10) + 36/10. Is w smaller than 0? False Let g = -56 + 63. Is 7 bigger than g? False Let o be 3 + (2 + (1 - 4))*-17. Is o bigger than 20? False Let j(m) = m**2 + 6*m + 4. Let d be j(-4). Suppose l - 5*l = -5*r + 18, 4*r - 2 = -3*l. Which is smaller: d or l? d Let p = 11.8 - 16.8. Let d = 0.9 + -1.8. Let x = 1 + d. Which is bigger: p or x? x Let o = 5 + 1. Let t = 0.11 + -5.61. Let a = o + t. Which is greater: a o
{ "pile_set_name": "DM Mathematics" }
base 11. a87368 What is 8065383 (base 9) in base 6? 232015333 Convert -43379 (base 10) to base 5. -2342004 What is 100201011200 (base 3) in base 11? 12065a -327477 (base 9) to base 12 -9535a 10010000110010111010001 (base 2) to base 9 8831401 Convert -10211122201 (base 3) to base 9. -124581 Convert -2340323234 (base 5) to base 14. -a08794 What is b1835 (base 12) in base 7? 1651343 Convert 1232033232 (base 4) to base 9. 757380 Convert 2033340031 (base 5) to base 11. 2409079 Convert -30141213 (base 5) to base 12. -b6bb3 What is -7f333 (base 16) in base 11? -326497 32542670 (base 8) to base 5 3242404212 What is -341342 (base 13) in base 3? -2022112110012 Convert -201355050 (base 7) to base 12. -3b09543 Convert -10007118 (base 9) to base 10. -4788170 -10001001010000011111011 (base 2) to base 12 -160a98b -10405574 (base 8) to base 3 -11012100120201 Convert 10101220220011 (base 3) to base 5. 430344201 17840618 (base 9) to base 7 136342316 Convert -3210331130 (base 4) to base 8. -3447534 What is 337181 (base 11) in base 10? 536603 What is -29265 (base 10) in base 13? -10422 What is -86cc9 (base 13) in base 10? -243863 Convert 331231222 (base 5) to base 13. 3b0c85 Convert -3441322 (base 7) to base 4. -1221003031 What is 5245 (base 14) in base 10? 14173 -7601580 (base 9) to base 7 -46433115 Convert 23532502 (base 6) to base 9. 1352452 Convert 19688a (base 16) to base 11. a38074 What is -22ba7 (base 13) in base 5? -4013022 -42b74 (base 12) to base 4 -111200020 3235844 (base 10) to base 15 43db7e What is -776205 (base 8) in base 12? -107231 Convert 4c257f (base 16) to base 13. 105957c What is 1101010110001001000001 (base 2) in base 5? 1343423221 What is -17493c (base 14) in base 5? -202211110 What is 1011100000110111 (base 2) in base 6? 1002155 What is -201330 (base 5) in base 10? -6465 1b425 (base 13) to base 14 1568b 4aa2 (base 11) to base 5 203041 Convert 1255430021 (base 6) to base 15. 14d57cd Convert 10224302 (base 5) to base 15. 1a81c 2113743 (base 9) to base 2 100010100001100010101 Convert -831988 (base 10) to base 13. -231901 What is -30170c (base 13) in base 4? -10100301113 Convert -179429 (base 10) to base 11. -112898 -614345 (base 7) to base 10 -104795 What is -574918 (base 10) in base 9? -1065567 66209e (base 16) to base 13 150458b Convert -2843b (base 13) to base 7. -432616 What is -4cc52 (base 16) in base 6? -10423442 Convert 177495 (base 11) to base 4. 1002300203 -101020313032 (base 4) to base 9 -8406804 What is -2011212200220 (base 3) in base 2? -100011010111011101011 What is -1a425 (base 16) in base 2? -11010010000100101 Convert 620033 (base 9) to base 12. 158786 2651500 (base 8) to base 11 4676a5 Convert 779c9c (base 14) to base 7. 46342155 What is -2d919c (base 15) in base 14? -416754 Convert 526784 (base 13) to base 10. 1928060 466771 (base 8) to base 14 42053 What is 220047 (base 10) in base 9? 364756 -2222112010102 (base 3) to base 13 -436544 Convert -9a7a (base 11) to base 9. -20181 -11657822 (base 9) to base 5 -2430113110 Convert 10001001100110000 (base 2) to base 16. 11330 Convert -11001000000111000100111 (base 2) to base 6. -352313303 Convert 2324411130 (base 5) to base 11. 2aa7673 What is 1044442 (base 5) in base 14? 6b91 -20201202011 (base 3) to base 11 -905a9 313047 (base 12) to base 4 2330211313 What is 451777 (base 8) in base 3? 21202021221 Convert -186803 (base 10) to base 15. -3a538 What is 197294 (base 10) in base 11? 125259 Convert -57c97 (base 13) to base 15. -32791 What is 222100111121 (base 3) in base 10? 518686 Convert 702573 (base 11) to base 14. 2160c8 2201220012010 (base 3) to base 6 51101433 Convert -4bc40 (base 16) to base 9. -522627 What is 1569056 (base 11) in base 8? 12153736 Convert -3ba800 (base 15) to base 14. -54a194 What is 100020001012 (base 3) in base 7? 1354211 1528462 (base 11) to base 7 31150415 -14728a (base 13) to base 9 -843665 1162460 (base 9) to base 8 2321614 What is -10111111110000011011 (base 2) in base 6? -24500135 1b78 (base 15) to base 10 5963 Convert -1104413 (base 5) to base 4. -10232132 -321213 (base 7) to base 11 -38913 1022211121200 (base 3) to base 11 441a77 What is -12110231303 (base 4) in base 6? -55310335 Convert -100020001122122 (base 3) to base 10. -4902272 2352b9 (base 12) to base 14 10b4a9 Convert -4241004 (base 5) to base 13. -26649 Convert 20120312120 (base 4) to base 5. 1030331221 111130022323 (base 4) to base 7 65526016 Convert 5c81c (base 13) to base 5. 20424141 What is 13033562 (base 7) in base 10? 1185011 Convert 1030023021 (base 4) to base 16. 4c2c9 Convert -6a7a8 (base 12) to base 11. -98348 What is -29fce (base 16) in base 7? -1314256 Convert 1582647 (base 12) to base 5. 2111303112 What is -448d0a (base 16) in base 8? -21106412 What is 42400320 (base 5) in base 4? 1112333233 What is -640542 (base 8) in base 14? -57a70 -dd3e7 (base 15) to base 16 -ab9ac What is -1530576 (base 8) in base 6? -13222450 Convert 137360 (base 8) to base 10. 48880 10333221203 (base 4) to base 11 814758 6c9622 (base 13) to base 14 4b64d3 -30021440 (base 6) to base 12 -347880 -4263043 (base 8) to base 7 -12456241 Convert -2315 (base 10) to base 5. -33230 -11030606 (base 8) to base 16 -243186 What is 7292d (base 15) in base 16? 58ab9 211796 (base 10) to base 4 303231110 56dd8 (base 14) to base 16 33952 -100110011010110101101110 (base 2) to base 6 -555510514 What is -181383 (base 9) in base 8? -333710 Convert 203031031032 (base 4) to base 14. 132355c Convert 3051 (base 11) to base 4. 333101 105310 (base 6) to base 8 21412 Convert -549758 (base 10) to base 9. -1027112 Convert -62577 (base 8) to base 4. -12111333 2352113 (base 6) to base 13 44346 Convert -7853592 (base 10) to base 16. -77d618 What is -2a6b31 (base 13) in base 14? -1d22bb Convert 41205225 (base 6) to base 9. 2202838 Convert -146182 (base 12) to base 3. -122101122222 -139609 (base 10) to base 3 -21002111201 What is 24032 (base 15) in base 2? 11100000001101101 Convert -20321232100 (base 4) to base 16. -239b90 What is 1280145 (base 10) in base 15? 1a4480 What is 320201311 (base 4) in base 2? 111000100001110101 What is -1945c9 (base 15) in base 9? -2273880 Convert 42a25 (base 11) to base 6. 1201103 Convert 44232143 (base 6) to base 9. 2441310 Convert -413225 (base 9) to base 13. -87761 What is 134805 (base 10) in base 2? 100000111010010101 What is 10011010011110000000 (base 2) in base 13? 191ca7 -3411110 (base 5) to base 11 -41217 Convert 10251333 (base 6) to base 15. 5e893 3c03a9 (base 13) to base 14 29d0db -22779 (base 11) to base 14 -bda5 11311368 (base 10) to base 16 ac9908 What is -207562 (base 8) in base 5? -4210430 46279 (base 10) to base 6 554131 What is -1433313 (base 7) in base 3? -100211010000 Convert -b2973 (base 15) to base 3. -1001202002000 Convert 441121120 (base 6) to base 13. 18359bb 31c48 (base 16) to base 4 301301020 Convert -10003012140 (base 5) to base 15. -cdca30 What is -32be9e (base 16) in base 2? -1100101011111010011110 11243313133 (base 5) to base 15 11e3413 Convert -2043b61 (base 12) to base 7. -102344515 Convert 2022112110222 (base 3) to base 9. 2275428 Convert 617099 (base 13) to base 4. 20222221100 What is 3361617 (base 10) in base 12? 1161469 3102002031 (base 4) to base 11 5383a2 What is -1110010020011 (base 3) in base 7? -6354604 What is -101001011101001101 (base 2) in base 10? -169805 Convert -3500530 (base 6) to base 16. -2bb66 What is 11346514 (base 7) in base 8? 3650013 Convert -16545a (base 12) to base 5. -44220114 Convert -82b89 (base 14) to base 13. -b055c Convert -550562 (base 8) to base 3. -100101100101 Convert 7872b (base 14) to base 15. 5b900 What is 4302431 (base 5) in base 3? 10200002121 Convert 16220356 (base 7) to base 9. 2848847 Convert 1a6768d (base 14) to base 3. 220202112110021 Convert -92166 (base 14) to base 8. -1256436 Convert -2c1592 (base 13) to base 6. -35155131 -279434 (base 11) to base 10 -437089 Convert -1001110011110100001 (base 2) to base 10. -321441 What is 393ca (base 14) in base 8? 422646 Convert 2232143133 (base 5) to base 8. 22725700 -11533234 (base 6) to base 4 -1122112312 24300532 (base 7) to base 8 10213063 What is -b4a64d (base 15) in base 6? -504044114 What is 1034311102 (base 5) in base 8? 10476270 17b05b (base 13) to base 3 1010020211012 -130033 (base 16)
{ "pile_set_name": "DM Mathematics" }
+ 902 What is the second derivative of 779329816*r**2 + 768994599*r wrt r? 1558659632 Differentiate 289636*l**2 - 23*l - 6325186 wrt l. 579272*l - 23 Find the second derivative of k**2*q*z + 70*k**2*r**2 - 10429*k**2*z**2 - 3*k*q*r**2*z + 2*k*q*r*z + k*q*z**2 + 12*k*r**2*z + 7*k + 37*q*r**2 + 5*q*z**2 wrt k. 2*q*z + 140*r**2 - 20858*z**2 Find the second derivative of 69*s**3*t**2 + 10835*s**3*t + 2*s**3 + 3*s*t**2 - 20*s*t - 65*s - 7*t**2 wrt s. 414*s*t**2 + 65010*s*t + 12*s What is the derivative of 6*b**3 - 1041*b**2 - 95*b - 10336232? 18*b**2 - 2082*b - 95 What is the second derivative of -779*r**4 - 1554*r**2 - r - 1686891 wrt r? -9348*r**2 - 3108 Find the first derivative of 54*l**2*x - 14022016*l**2 + 210*l*x - 8*x wrt x. 54*l**2 + 210*l - 8 What is the first derivative of -2750*r**2*x**2 + 3007*r*x - 55*x**2 + 119817 wrt r? -5500*r*x**2 + 3007*x Find the third derivative of -676*j**3*s**3*t**2 + 10162*j**3*s*t**2 - 2*j**2*s**3*t**2 - 35*j*s**3*t**2 - 134*j*s**3 - s**3*t + 2*s**2*t**2 - 2*s*t**2 wrt j. -4056*s**3*t**2 + 60972*s*t**2 What is the derivative of 211002*g**3 + 6*g**2 - 28*g + 154551789 wrt g? 633006*g**2 + 12*g - 28 Differentiate 587257569*v**3 - v**2 + 675394318 with respect to v. 1761772707*v**2 - 2*v Differentiate 2*f**3*u + 1755612*f**3 + 28840883*f**2*u + u - 31 with respect to u. 2*f**3 + 28840883*f**2 + 1 What is the third derivative of -620604*f**3*p**2 + 2*f**3*y**3 + f**2*p*y - f**2 + 133*f*p**2 - 6*f*y**3 + 679*p*y wrt f? -3723624*p**2 + 12*y**3 Differentiate 51602285*q - 130144188. 51602285 What is the second derivative of -33*y**4 - 11919*y**2 - 3879858*y? -396*y**2 - 23838 What is the first derivative of 5017*g**2*h**2 - 230*g*h**2 + 14430*h**2 + 61 wrt g? 10034*g*h**2 - 230*h**2 Differentiate -5690953*i - 10817457 with respect to i. -5690953 Find the third derivative of 14725817*p**6 - 29842584*p**2 wrt p. 1767098040*p**3 What is the third derivative of -977125*n**3 + 92589*n**2 - 2*n + 3? -5862750 Find the second derivative of 1817*h**2*n**2*q - h**2*n + 534*h**2*q - 865*h*n**2*q - 43*h*n*q - h*q wrt n. 3634*h**2*q - 1730*h*q What is the second derivative of -39830167*v**3 - 52426*v + 2738? -238981002*v Find the second derivative of 659*q**2*y**3 - 40*q**2*y - 19*q**2 - 14675*q*y + 12*y**3 - 2 wrt q. 1318*y**3 - 80*y - 38 What is the third derivative of 86168*c*h**3*i - 339*c*h**3 - 124255*c*i - 4*h**2*i + 114*i wrt h? 517008*c*i - 2034*c What is the third derivative of -3*f**2*v**3 - 10538408*f**2*v**2 + 2*f**2 - 1963374*v**3 wrt v? -18*f**2 - 11780244 Differentiate 1381261*a**3*g + 3*a**3 - 162*a**2 + a*g - 6*a - 8*g + 28 with respect to g. 1381261*a**3 + a - 8 What is the derivative of 4*k*t**2 + 3332135*k*t + 2*k - 116*t**2 + 171616 wrt k? 4*t**2 + 3332135*t + 2 What is the third derivative of -6549*f**5*z + 21501*f**4*m**2 - 12*f**2*m**2*z - 5*f**2*m**2 - 2*f**2 + 2*f*m**2*z + 1239*m*z - 6*z wrt f? -392940*f**2*z + 516024*f*m**2 What is the third derivative of -1439360*j**3 + j**2 - 553*j + 86 wrt j? -8636160 Find the second derivative of 79064853*q**2*y**2 - 5*q*y + 436606*y**2 wrt q. 158129706*y**2 Find the third derivative of 1718109*c**5*i - 67*c**5 - 2*c**2*i + 6344*c*i + 2471 wrt c. 103086540*c**2*i - 4020*c**2 What is the derivative of -188690666*u**3 - 272243076? -566071998*u**2 What is the third derivative of 5219*i**6 - 2*i**4*x - 3*i**3*t**2 + 20*i**2*t*x - 2*i**2*x - 14*i*t*x + 9*t**2*x - 2*t + 4*x + 2 wrt i? 626280*i**3 - 48*i*x - 18*t**2 What is the derivative of a**3*d*p + 101*a**3*p + 2*a**3 + 13*a**2*p - d*p - 1041172*d + 113*p wrt d? a**3*p - p - 1041172 What is the third derivative of -28970369*n**3 + 38*n**2 - 2*n + 42777 wrt n? -173822214 Find the second derivative of 14253316*k**3 + 41*k - 20367 wrt k. 85519896*k What is the second derivative of 22*g**2*s**3 - 12*g**2*s - g**2 + 1907551*g*s**3 + g*s - 8306*s wrt s? 132*g**2*s + 11445306*g*s What is the third derivative of -19031373*q*z**5 - 325*q*z**2 - 22818*q*z - 2*z**2 + 2*z wrt z? -1141882380*q*z**2 Differentiate -74130609*l + 20777956. -74130609 What is the second derivative of 10*r**3*x**2 - 22923*r**3*x + 7*r**3 - 362156*r**2*x**2 - 5 wrt x? 20*r**3 - 724312*r**2 What is the third derivative of 29113161*w**3 - 2*w**2 - 1900919*w wrt w? 174678966 Find the third derivative of 831238*b*i**3*s**3 + 3*b*i**2*s**2 + 2*b*i**2 - 5*b*s**3 + 111409*b*s**2 + 4*i**3*s**2 + 2*s**2 wrt s. 4987428*b*i**3 - 30*b What is the third derivative of 337444*l**2*y**3 - 51614*l**2 - 2*l*y**4 - 2*l*y**2 + 19*y wrt y? 2024664*l**2 - 48*l*y What is the third derivative of 1403981*s**3*x**3 + s**3*x**2 + s**3 + 1038*s**2*x - 6*s*x**6 - 502*s*x - 4*s + 1 wrt x? 8423886*s**3 - 720*s*x**3 What is the third derivative of 8*z**6 - 64*z**4 + 15084*z**3 - 4*z**2 - 98616*z + 313 wrt z? 960*z**3 - 1536*z + 90504 Find the second derivative of 78284807*l*y**2 + l*y - 5*l + 978*y + 9 wrt y. 156569614*l Find the third derivative of 72379*h**4 - 32*h**3 + 423485*h**2 wrt h. 1737096*h - 192 Find the third derivative of 18337778*d**3 + 3286598*d**2 + 1 wrt d. 110026668 What is the second derivative of -60517978*a**2 + 1648*a - 14973 wrt a? -121035956 What is the first derivative of 12871528*n**2 + 9190711 wrt n? 25743056*n What is the third derivative of 33277291*u**3 - 67*u**2 + 479477*u? 199663746 Differentiate -185*d**3 + 12*d**2 - 5413*d - 132216733. -555*d**2 + 24*d - 5413 What is the second derivative of -h*s + h*x**2 + 168563*h*x + 339*s*x**4 - 12788*s*x**3 + s*x wrt x? 2*h + 4068*s*x**2 - 76728*s*x What is the third derivative of 1024*b*z**3 + b*z**2 + 64*b*z + 3*b + 166408*z**3 - 15008*z**2 + 3*z - 4 wrt z? 6144*b + 998448 Find the first derivative of 32*r**4 - 1284000*r + 164707220. 128*r**3 - 1284000 What is the third derivative of 33187341*j**3 - 484900*j**2 - 37*j wrt j? 199124046 Find the third derivative of 4*b**4*v - 760*b**4 + 75*b**3*v + 2*b**3 + 2258*b**2 - 2*b*v - 145 wrt b. 96*b*v - 18240*b + 450*v + 12 What is the derivative of 10324*x**3 + 241*x**2 - 2*x - 12623677 wrt x? 30972*x**2 + 482*x - 2 What is the third derivative of -39235*q*v**3 - 72877401*q*v**2 - 165*v**3 wrt v? -235410*q - 990 Find the second derivative of -b**2*o**3 - 1184280*b**2 + 22*b*o**3 + 10*b*o - 15980*b + o**2 wrt b. -2*o**3 - 2368560 Find the third derivative of 1216*n**6 + 27*n**4 + 658*n**3 - 51*n**2 - 23071*n - 3 wrt n. 145920*n**3 + 648*n + 3948 What is the first derivative of 13*k*v**2 + 7428086*k - 3*v**2 + 6511*v - 981 wrt k? 13*v**2 + 7428086 What is the third derivative of -5058*a*l**3*v**3 + 2*a*l*v**2 + 393678*a*l*v + 6789*l**3 - 4*l**2*v**3 - l**2 + l wrt l? -30348*a*v**3 + 40734 Find the second derivative of -3*c*f**2 - 71931370*c*f + 2783135*f**2 wrt f. -6*c + 5566270 What is the first derivative of -85824879*c**2 + 42088614? -171649758*c What is the second derivative of 10411*n**4 + 2*n**3 + 213*n**2 - 183013517*n wrt n? 124932*n**2 + 12*n + 426 What is the third derivative of -19*y**5 + 50297*y**4 - 6*y**3 - y**2 - 431513*y + 5 wrt y? -1140*y**2 + 1207128*y - 36 What is the second derivative of 54082636*r**2 + 5625819*r? 108165272 What is the third derivative of 189680*i**5 - 10*i**4 - 22*i**2 + 6*i + 2 wrt i? 11380800*i**2 - 240*i Differentiate 18772438*o + 22170085. 18772438 What is the third derivative of -70031501*b*j**4 - 469*b*j**2 + b*j - 462571*j**2 wrt j? -1680756024*b*j What is the third derivative of -3*p*y**4 + 29930*p*y**3 + 7*p*y + 22*p - 9*y**4 - 296*y**2 + 16*y - 1 wrt y? -72*p*y + 179580*p - 216*y What is the second derivative of 2582886*x**4 + 99*x - 13813? 30994632*x**2 Find the second derivative of -6051012*k**2 - 12917769*k wrt k. -12102024 Differentiate 5*j*r + 4615622*j + 604680*r**2 wrt r. 5*j + 1209360*r What is the third derivative of 10602*u**4 + 2290*u**3 + 2*u**2 + 109*u + 863 wrt u? 254448*u + 13740 Find the second derivative of -22659*g**4 - 2679*g**2 - 2*g - 88173615. -271908*g**2 - 5358 What is the second derivative of 4*m*s**2*u**2 - 64*m*s*u**2 - 93718*m + s**2*u**2 + 95704*s**2 wrt s? 8*m*u**2 + 2*u**2 + 191408 What is the second derivative of 134010593*l**2*m**3 + 11*l**2*m + 12583*l**2 - 2*l*m - 3*m - 2 wrt m? 804063558*l**2*m Differentiate -128421*r*w*z**2 - 24*r*w + r*z**2 - 6*w*z**2 + 21777*w - 5*z - 13 wrt r. -1
{ "pile_set_name": "DM Mathematics" }
- 2338*c - 1 + 3 + 0 as o + m*c and give m. -2338 Express 39*q - 38*q - 5*q**2 + 3 + 390*q**3 - 412*q**3 as j*q + a*q**2 + p + b*q**3 and give j. 1 Rearrange 3821*p + 10634*p + 12031*p to f*p + n and give f. 26486 Rearrange 526*d - 474*d - 590*d + (2 + 0 - 3)*(2*d + 2*d - 3*d) - 3*d + 6*d - 7*d to the form f*d + l and give f. -543 Rearrange 20*q**3 + 235 + 37*q**3 - 466 + q + 2*q**4 - 4*q + 230 to the form s + o*q**3 + p*q**2 + b*q + w*q**4 and give s. -1 Rearrange (76*x - 100*x - 216*x)*(0 + 5 - 83)*(-5 + 2 + 2) to the form c*x + j and give c. -18720 Express -27*a**4 + 2789 + 4*a**2 - 2*a**2 - 2785 + a**3 as f*a**4 + u*a + j + z*a**3 + m*a**2 and give j. 4 Express (7*j + 3*j - 4*j)*(9*j**2 - 56*j**2 - 34*j**2) - 44*j + 5*j**3 + 44*j in the form r + a*j + b*j**3 + k*j**2 and give b. -481 Rearrange -2*h - 517*h**2 + 750*h**2 + 1077*h**2 to the form o*h**2 + t*h + m and give t. -2 Rearrange 102*a + 168*a + 303*a + a - 2 + 2 + (0 - 1 + 2)*(3*a - 6*a + 4*a) + (-4*a - 3 + 3)*(-3 - 1 + 2) to the form m*a + b and give b. 0 Express -2*a**3 - 31*a + 7 - 52099*a**4 - 9 + 4*a**2 + 52101*a**4 as t*a**2 + z*a**3 + d*a + h*a**4 + b and give t. 4 Rearrange -36 - 1 - 82 - 39 - 45 + 7*b to the form z + v*b and give z. -203 Express ((-1 - 3 + 0)*(-3*o - o + 2*o) - 459*o + 559 - 559)*(0*o**3 + 2*o**3 + o**3) as x*o + z + w*o**3 + l*o**2 + n*o**4 and give n. -1353 Rearrange -476*m**3 + 241*m**3 - m + 1 - 86*m**2 + 240*m**3 to the form x*m**3 + s*m + j + n*m**2 and give s. -1 Express (-7*l**3 + 10*l - 10*l + l**4)*(-202 - 85 + 124) in the form z*l + y*l**2 + h*l**4 + d*l**3 + g and give h. -163 Rearrange 25*l**2 - 133*l**2 + 1662 + 116*l**2 + (3 + 2 - 4)*(2*l**2 - 2*l**2 + 2*l**2) - l**2 + 3 - 3 to the form w + o*l + j*l**2 and give w. 1662 Rearrange -28142*x**2 + 0 + 4 + 28145*x**2 to the form n*x**2 + c + p*x and give c. 4 Rearrange 3 + 216511*b - 3 - 2*b**2 - 216637*b to s*b + m + h*b**2 and give s. -126 Rearrange 339*n**3 - 2 + 369*n**3 + 2*n**2 - 644*n**3 - 2*n to the form r*n + x + z*n**2 + w*n**3 and give x. -2 Rearrange ((h + 5*h + 0*h)*(-10 - 20 + 7) + (-h - 2*h + h)*(0 + 1 - 2))*(4 - 2 + 4) to the form m*h + z and give m. -816 Express (5*p + 2*p + 0*p + (0 - 4 + 2)*(3 - 3 + 2)*(3*p + 40 - 55 - 46))*(4*p - 4*p - 2*p) as v*p**2 + d + c*p and give c. -488 Express -1 + 13*b - 9175747*b**2 - 4*b**4 + 9175747*b**2 + 131*b as t*b**2 + l + g*b**3 + p*b + q*b**4 and give l. -1 Express 4*f + 13*f**2 - 5*f - 16*f**3 - 19*f**2 + 2 - 6*f as n + x*f**2 + r*f**3 + w*f and give n. 2 Express 1 - 32833*t**3 - 15*t**2 - 85*t + 16414*t**3 + 16418*t**3 in the form v*t**3 + u*t + j*t**2 + m and give j. -15 Express -3 + 8 + 1 + r + 4 - 4 - 3*r + (-2 + 3 + 0)*(2 - r - 2) + (1 + 2 - 4)*(5 - 4 - 2)*(-12*r - 4*r + 14*r) as n*r + o and give n. -5 Rearrange 2*m**3 - 2*m**3 + 14*m**3 + (m**2 - 4 + 4)*(-m + 2*m - 2*m) - 346*m**3 - 407*m**3 + 108*m**3 to s + i*m**2 + k*m + h*m**3 and give h. -632 Express 9*n - 8 + 8 + (2 - 1 - 2)*(-2*n - n + 2*n) - 25*n - n + 22*n - 18 as s + r*n and give s. -18 Express -102*y**2 + 1943*y**2 + 2228*y**2 - 714*y**2 + 1130*y**2 in the form r*y**2 + k*y + x and give r. 4485 Express (-784*w**2 + 2580*w**2 + 1126*w**2 + 3603*w**2 + 2371*w**2)*(-w + 11*w - 2*w) in the form y*w + x + g*w**3 + n*w**2 and give g. 71168 Express 231 + 417*k - 537 + 152 + 154 as o*k + d and give o. 417 Rearrange -18175244 - s**4 + 2*s - 2*s + 23*s**3 + 18175361 - s**4 to g + k*s + r*s**4 + n*s**3 + x*s**2 and give r. -2 Rearrange (3*p**2 + 5*p**2 + 2*p**2)*(1113*p + 189*p + 460*p) to the form r*p + x*p**3 + o*p**2 + d and give d. 0 Express 6583*k - 2529 - 698*k + 2529 as u + f*k and give f. 5885 Rearrange (3*w + 92*w + 93*w)*(-w + 0*w - 6*w)*(2*w - 2*w - w) to x*w**3 + q*w + l*w**2 + j and give x. 1316 Rearrange (3*u - 5*u + u)*((138*u + 124*u - 97*u)*(-152 - 202 + 53 + 43) + 6*u + u - 3*u) to w*u + t + p*u**2 and give p. 42566 Rearrange -8358*d + 1410*d - 5893*d + 263*d - 1839*d to q*d + s and give q. -14417 Express -138*b - 36 + 27 + 51 + 20*b + 5*b**2 - 40 in the form s + j*b + g*b**2 and give s. 2 Rearrange -7504*k - 171*k**4 + 172*k**4 - 12*k**2 + 51*k**3 + 7507*k to the form m*k + j*k**4 + d*k**2 + a*k**3 + r and give a. 51 Rearrange (0 - 2 + 1)*(-c - 2 + 2)*(36 + 9*c - 36)*(6 - 2 - 2)*(4149*c - 3*c**2 - 4149*c + 52) to the form a*c**2 + y + p*c**3 + t*c**4 + j*c and give t. -54 Rearrange -183*s**3 + s + 175*s**4 - 391*s**4 + 212*s**4 to the form j*s**4 + g*s**3 + z*s + d*s**2 + t and give z. 1 Express -48747*w + 0 + 48747*w + 77*w**2 - 13 in the form t + z*w**2 + h*w and give h. 0 Express -3*r**2 + 0*r**2 - 702721*r + 700832*r as l*r**2 + f*r + y and give f. -1889 Express (10 - 5*z - 16 + z)*(-56 - 12 - 30) as n + x*z and give x. 392 Rearrange (107*o - 1430 + 1430)*(65*o - 122*o + 7 - 2) to h*o**2 + n + a*o and give h. -6099 Express ((-2*f + 50*f - 23*f)*(1 - 4 + 1) - 6*f - 2*f + 24*f)*(-1 - 3 - f**3 + 6) in the form v*f + s*f**2 + j*f**4 + k*f**3 + m and give v. -68 Express 44*q**4 + 0*q**2 + 28*q**4 + 3 - 71*q**4 - 2*q + 4*q**3 + 0*q + 7*q**2 in the form p*q**3 + f + w*q**2 + z*q + g*q**4 and give p. 4 Express -2*n**2 - 412 + n**3 - 16*n + 724 - 277 in the form s*n**3 + v + z*n + a*n**2 and give z. -16 Express -3 + 2135*y - 57*y + 4516*y + 8 - 3 in the form w + v*y and give w. 2 Express (1340750*l - 2171 + 2*l**2 - 1340750*l)*(-2*l**2 + 2*l**2 - 2*l**2) in the form d + g*l + r*l**2 + q*l**4 + z*l**3 and give r. 4342 Express -2*g**2 + 21*g - 21*g + (-25 - 7 + 2 - 9)*(-58*g + 58*g + 21*g**2) in the form o*g**2 + j*g + u and give o. -821 Rearrange (-x - 2*x - 2*x)*(573*x**3 + 772*x**3 - 394*x**3) - 2*x**4 + 3*x**4 - 3*x**4 to the form u + c*x + j*x**2 + p*x**3 + n*x**4 and give n. -4757 Rearrange (-j**3 + j**3 + 2*j**4)*(-6 - 7 - 3) - 5*j**4 - 24*j**2 + 0*j**4 + 21*j**2 to i*j**3 + f + r*j + c*j**4 + d*j**2 and give c. -37 Express -56 + 56 - 557*i**2 + i + 0 in the form u + d*i + h*i**2 and give d. 1 Express 8574*t - 14691*t + 12732*t in the form c*t + a and give a. 0 Rearrange 69*j + 72*j**2 - 25*j**2 - 57*j + (5*j - 2*j - j)*(4*j + 1 - 1) + j**2 - j**2 + j**2 to a*j**2 + c + g*j and give a. 56 Express -149*j**2 + 5*j**3 - 5322901 + j + 5322899 + 633*j**2 in the form y*j**3 + b*j**2 + d + v*j and give d. -2 Rearrange -3269 + 6580 - 3267 - 19*k to m*k + s and give s. 44 Express -2*i**3 - 3*i + 3*i + (4*i**2 + 2*i**2 - 3*i**2)*(129*i - 24*i + 15*i)*(2 - 2 + 1) as m*i + s + q*i**2 + o*i**3 and give o. 358 Express 567 - 795*i - 288 - 5320*i - 279 as a + o*i and give o. -6115 Rearrange (216 + 95 + 32 - 50)*(0 - 2 - 3)*(-5*t + 2*t - 13*t) to q + h*t and give h. 23440 Rearrange -43*w**3 + 2455 - 2455 + 9*w**2 - 5*w**2 to f*w + g + i*w**3 + p*w**2 and give p. 4 Rearrange -50*n**2 - 180 + 26*n**2 + 185 - 28*n**2 to the form i*n**2 + g + t*n and give i. -52 Rearrange 1 + 1918*f + 8*f**3 - 961*f + 4*f**4 - 7*f**2 - 959*f + 5*f**3 to l*f**3 + v*f + a*f**2 + p + n*f**4 and give v. -2 Express -22*h + 9*h + 31*h - 9*h**2 - 5*h**3 - 12*h + 3*h**2 in the form f*h + d*h**3 + b + s*h**2 and give f. 6 Express -160 - 2*s**2 - 165*s - 163 + 323 as h*s + f*s**2 + a and give a. 0 Rearrange 2*v - 120*v**2 + 59*v**2 + 48*v**2 - 8 + 52*v**2 + 7*v to the form t + h*v**2 + j*v and give h. 39 Rearrange 144*b + 145*b + 197*b + 135*b + 177*b to l*b + x and give l. 798 Rearrange 39 + 2035*d - 123 + 84 + 2151*d to t + a*d and give a. 4186 Express (-6921 + 16*r - 6937 - 153*r**2 + 13858)*(-10 - 14 + 21 - r) in the form a*r**3 + l*r**2 + x + c*r and give l. 443 Express (1 + 3 - 6)*(-9 + 4 + 0)*(923*o - 420*o - 456*o) in the form x*o + z and give x. 470 Rearrange (30 - 21 - 31)*(1 - 4 + 5)*(-2*z + 0 + 0) + 8 - 8 - 4*z to the form u*z + n and give u. 84 Rearrange (-3*a + a - 2*a + (2*a + 0 + 0)*(-6 - 10 + 2))*(a + 8*a + 13 - 14) to t*a + m + w*a**2 and give t. 32 Express 73249 - 36626 - 1510*d**3 + 2*d - 36621 as r*d + f + h*d**2 + z*d**3 and give r. 2 Rearrange 4*y**3 - 1543 + 415 - 627 to the form s*y**2 + x*y + g + t*y**3 and give g. -1755 Express 42*y**2 - 12*y**2 + 493*y - 17*y**2 - 1369*y - 15*y**2 as d + f*y + s*y**2 and give f. -876 Rearrange (-4 - 1 + 0 + (0 + 1 - 4)*(-19 - 19 + 8) + (2 + 9 - 5)*(4 + 2 - 4))*(0*l**3 + l**3 - 3*l**3) to the form n*l**2 + h + d*l**3 + s*l and give d. -194 Rearrange
{ "pile_set_name": "DM Mathematics" }
q + 6 = -2*y, -4*h = 5*y - 39. Suppose 4*i = -7*i + y. Solve -v = -2*n - 2*v - i, v = -5*n - 10 for n. -3 Let s = 5 + -2. Suppose -s*w - 2 = -14. Solve 2*u - 5*n = -9*n - 14, w*u + 3 = -3*n for u. 3 Let z be (2048/(-10))/((-66)/330). Let q = -1019 + z. Solve -q*r = -3*y - 13, -32 = -5*y - r - 7 for y. 4 Let r be (-1 + 4/6)/(8/(-48)). Suppose -4*i = -u - 106, r*i + u = 2 + 48. Suppose -22 + 117 = 19*p. Solve i + 0 = p*o + 4*v, v + 2 = 3*o for o. 2 Suppose 4*j - 3*j - 9 = 0. Let h = j + -5. Suppose -5*w - h*z - 20 = -0*w, -5 = 2*w + z. Solve i - 11 = 3*t - w*i, i - 3 = -t for t. -2 Suppose 0 = 2*f + 2, 7*f = -5*k + 6*f + 19. Solve 6*p - 7*p + 4 = -d, -3*p - k = 5*d for d. -2 Suppose 35 = 5*g, -12*g = 4*o - 8*g - 48. Solve 0 = w - o, u + 20 = 6*w - w for u. 5 Let r(g) = g**3 - 18*g**2 - 22*g + 61. Let l be r(19). Solve 4*k = 3*d + 2, 0 = -d - k - l*k - 7 for d. -2 Let a be ((-2)/(-30))/((-15)/(-1125)). Solve -46*q + 41*q - a*w - 15 = 0, q = 2*w - 3 for q. -3 Let c(j) = 3*j**3 - 17*j**2 - 3*j + 24. Let o(v) = v**3 + v**2 - v. Let s(p) = c(p) - 2*o(p). Let g be s(19). Solve 15 = -5*f + k, 5*f + g = 5*k - 10 for f. -3 Let c(q) = -4*q - 85. Let u be -4*((-16)/(-24) - (-58)/12). Let m be c(u). Solve -4*h - 8 = 4*w, 6*h = 2*h - m*w - 10 for h. -4 Let r(x) = x**2 + 64*x - 823. Let i be r(11). Solve 26*y = 22*y + 4, 2*m - i*y + 4 = 0 for m. -1 Suppose -29*x - 55 = 4*g - 34*x, 3*x + 48 = -3*g. Let m be g/6*(-28)/(-35) + 2. Solve 3*h - a - 12 = -2, 4*h - 5*a - 28 = m for h. 2 Let p(f) = -f**3 + 3*f**2 - 4*f + 4. Let l be p(2). Let o be 1 + (-1 - -1) - (l - 3). Suppose o*s - 3*s = 9. Solve 5*g = -5*a - 5, a = 4*g - 3*g + s for g. -5 Let r = -286 + 264. Suppose 5*k + 7*v = 4*v + 24, -24 = -3*k - 5*v. Let x be r/(k + -4) - 4. Solve 5*q - x = -4*n, -4*q + 0*q + 10 = n for q. 2 Suppose -4*d - 88 = 4*n, 5*n - 4*n = -2*d - 48. Let l = d - -25. Let b be (-3 - l)/((-6)/12). Solve -3*t + 15 = -b*x - 2, 0 = t + 1 for x. -5 Let u be (-4)/36*3*0 + 4. Suppose u*k - 5*y = 27 + 5, -6*k + 3*y = -30. Solve 2*n - 2 = 4*i, 2*n = 3*i + k - 2 for i. -1 Suppose -30*d = -39*d + 63. Solve -z = g - 8, -3*g + d*z - 11 = 3*z for g. 3 Suppose 3 = 2*w + 4*x - 15, -3*x = -4*w + 25. Let n = -530 + 566. Suppose -q + 74 = n*q. Solve 5*k + 3 = 4*k, u = q*k + w for u. 1 Let k(r) = -11*r + 275. Let t be k(25). Solve 3*w - 8*w - 6 = -2*n, t = -3*w - 6 for n. -2 Let w = 60 + -58. Suppose 23*u = 22*u + w. Let a be 1*(-2 + (u - 1)) + 11. Solve -3*m + 5*d = -0*m - 25, 2*m + 2*d = -a for m. 0 Let v be (32/(-352))/((-4)/88). Solve g = -v*z + 5, 0*g + g - 3*z = -20 for g. -5 Suppose -16*g - 31*x + 34*x + 1181 = 0, -3*g = -4*x - 218. Solve -4*o = -3*a + 12, g = -a + 78 for o. 0 Let t be 16/6 - (-168)/126. Solve 0 = -t*x + 5*i + 1 + 8, -5*x = -2*i - 7 for x. 1 Suppose -k - 2*w = -13, -2*w + 7*w - 4 = -k. Let v = k + -15. Solve -5*m = v*t - 1, 0*m = -2*m + 5*t - 26 for m. -3 Let a = -53 + 56. Suppose -g + 1 = -2*x + a, 8 = 5*x - g. Suppose -5*s + x*u + 6 = 0, 0*u - 3*u + 16 = 5*s. Solve 0 = 4*j + 4*h + 36, -j = j - 2*h + s for j. -5 Suppose 0 = -4*p - 2*q + 14, -54*q + 9 = -51*q. Solve 5*x - 4*g - 5 = -22, 0 = 2*x - p*g + 8 for x. -1 Suppose 3*r + 13*r = -23*r + 312. Solve -20 = -i + r*j - 3*j, 5*j + 45 = -4*i for i. -5 Let h = -13424 - -13453. Suppose -2*k - 4*b - 6 = 0, 5 = -4*k - 5*b + 2. Solve -5*x - 41 = -4*q - 9, k*q - 5*x - h = 0 for q. 3 Let t(x) = 4*x**3 - 3*x**2 + 4*x + 4. Let o be t(2). Let v = -30 + o. Solve -5*g - v*u - 6 = -3*g, -2*g = 3*u + 10 for g. 1 Let s(r) = -59*r**2 - 120*r + 13. Let i be s(-2). Solve -4*l = 4*g + 16, -3*g + 4*l - 8 + i = 0 for g. -1 Let p be (-3)/1 - (2 + -25). Suppose t - p = -3*t. Let g be 8/t*105/14. Solve -2*y - y - 2*j = 6, 0 = -3*y - 4*j - g for y. 0 Let l(s) = 16*s**2 + 62*s - 3. Let y be l(-4). Let i(d) = -d + 8. Let k be i(0). Let a = -6 + k. Solve a*w = -3*r + 5, -w - 2*r - 2 + y = 0 for w. 1 Let s = 857 - 853. Solve 36 = -s*m + 5*x, 6*m = 2*m - 2*x - 8 for m. -4 Let o(u) = -u + 39 - 42 + 0*u. Let f be o(-7). Let c be 12/f + (-1 + 1)/2. Solve 2*v = -2*v - 4*h, -h - c = 0 for v. 3 Suppose -23 = 3*g + 5*n, 3*n = -5*g + 23 - 24. Solve g*m + k - 3*k + 16 = 0, 14 = -4*m + 3*k for m. -5 Suppose -454 = x - 5*c, -4*x + 504 = -5*x - 5*c. Let t = x + 482. Solve -4*q + 2*z + 16 = 0, -q - t*q - z = -22 for q. 5 Let n be (-6 + (5 - -1))/(40/(-5) + 3). Solve 4*f = f, r - 3*f + 5 = n for r. -5 Suppose -3*a - 38 = -2*t + 25, -2*a + 114 = 3*t. Let q be 1/(((-9)/t)/((-3)/4)). Solve 0 = 3*j + h + 7 - q, -16 = -3*j + 4*h for j. 0 Let w = 304 + -304. Suppose 25*n - 30 - 20 = w. Solve -n*p + 2*k = 0, -3*k - 4 - 2 = -5*p for p. 3 Let k(m) = -12*m - 292. Let x be k(7). Let t = x + 381. Solve -2*u + 3*c = 11, 44 = t*u + 4*c + 14 for u. 2 Let l be 2*6/(48/104). Let h(x) = x**3 - 27*x**2 + 23*x + 83. Let p be h(l). Solve -3*s + 0*s + 15 = -p*b, b = 3*s - 3 for b. -3 Let v = -5030 - -5032. Solve 0 = 4*a - k - 13, a + v*k = -18 + 19 for a. 3 Suppose 8*p = 2*p + 4 + 20. Solve 4*s - 30 = 32*u - 34*u, -p*u + 35 = 3*s for u. 5 Let r = -1264 - -1266. Let w = -10 - -13. Suppose -3*a - 2*k + 6 = 0, 3*a - w*k = 2*a + 13. Solve p - d = 3*d + 13, a*p - 10 = r*d for p. 1 Let u = -73 - -81. Let d(a) = -a**2 + 7*a + 13. Let m be d(u). Solve -3*j + 6*j + 12 = k, -20 = m*j - k for j. -4 Let w(l) = l**2 + l - 2. Let t = -284 + 281. Let o be w(t). Solve -5*r + 3*g = 0, o*g = -g for r. 0 Suppose -3*j + 2*j = 12. Let d = j - -20. Suppose -d*m + 15 = -3*m. Solve k - 4*a + 7 = -3, m*a = -4*k - 2 for k. -2 Suppose -11*c = -1106 + 3977. Let h = 266 + c. Solve -3*q + 23 = f + 2*q, 0 = 5*f - 5*q + h for f. 3 Let g(q) be the first derivative of q**3/3 + 5*q**2 + 12*q - 20. Let y be g(-9). Solve -y*x = 5*i - i + 10, -4*x = 2*i for x. 2 Let t = 56 + -11. Let x be t/10*4/6. Suppose 483 = 204*j - 129. Solve -3*v - 40 = -5*b, 0 = 4*v + x*b + j + 2 for v. -5 Suppose 1574 = -8*k + 1590. Suppose 7 = 3*i + 1. Solve -13 = -5*m + 3*n, i*n = -m - k*m + 4 for m. 2 Let l be -4 - (-3 + 3) - -204. Let y = -196 + l. Solve y*r + 6 + 5 = 3*q, 0 = 5*r + 5*q + 40 for r. -5 Let r be 1296/288 + (-10)/4 + 0. Solve 0 = z + r*s - 5*s + 22, 24 = 4*s for z. -4 Let y = -4069 + 4074. Solve -y*t - 1 = 2*s, -5*s = 4*t + 12 - 1 for s. -3 Let n = -44 - -47. Suppose 2*l - 16 = 2. Suppose -4*o - 2*s + 3 + l = 0, 0 = 2*o - 4*s + 4. Solve -y = q + n*q - 25, q + 5 = o*y for q. 5 Suppose 16*l = 2*s + 104, 4*s + 1 = -s + 3*l. Solve -g = s*i + 12, 3*i + 9 = -42*g + 39*g for i. -3 Suppose -3*a + 10 = -a. Suppose 2*y = 2*n - 12, -a*n = -0*n + 3*y - 6. Let j be n/(-9) + 10/3. Solve 3*w = j*h, 0 = -h + 3*w - 8*w + 12 for h. 2 Suppose -9*f + 25 + 38 = 0. Let i = 161 + -157. Solve 5*q - 4*y - 16 = 0, -3*q + i*y = -f*q - 16 for q. 0 Let q(l) = 61*l + 16. Let t be q(4). Let r = 263 - t. Let m(p) = p**3 + 6*p**2 + 3*p - 6. Let b be m(-5). Solve b*x - r*v - 6 = 1, 4 = -2*x + 4*v for x. 4 Let m(z) = 11*z - 60. Let w be m(7). Let o(b) = 18*b**2 - 1. Let d be o(1). Let t = d - w. Solve 4*r - 5*r = -1, t = -4*l + 2*r + 6 for l. 2 Suppose -4*j + 2*c = -60, 3*j = 1039*c - 1043*c + 67. Suppose 10*o - 5*o + 6 = 4*r, r - 2 = o. Solve 5*a + o*n + j = -0*a, 3*a + 23 = 2*n for a. -5 Let p be 6/4 - (-2)/4. Let w(s) = -s**2 + 5*s + 6. Let l be w(-3). Let j be -5 + (-24)/l*6. Solve 2*h - 12 = -p*f - 2*f, 3*f - j*h = 9 for f. 3 Let o be (-13301)/(-1981) - (-2)/7. Solve -5*s + 15 = 2*x, -4*x - o = -s - 4 for x. 0 Suppose 0*r - 4*r = -21*r. Solve -11 = -u - 5*b, 4*u + r*b + 7 = -3*b for u. -4 Let q be (8/6)/(12/45). Let z be 0/3 + q - (-1 + 6). Solve z = -2*r + g - 3 - 11, 0 = -2*r + 2*g - 18 for r. -5 Let l(q) = -20*q - 85. Let r be l(-12). Let t be 96/21 - (4 - r/35). Solve -5*a + 15 = t*c, 0 = -2*a + 6*a - 5*c + 33 for a. -2 Let a be (3 - (-51)/(-15))/((-3)/75). Let c(d) = 2*d - 4. Let b be (9*7/147)/(1/7). Let t be c(b). Solve -3*o + 5*w - 7 = -0*w, -2*w = t*o + a for o. -4 Let k = -25689 + 25694. Solve 5*n + 3*y = -35, 13*n + k*y + 41 = 9*n for n. -4 Let z be ((-120)/10)/48*((-8)/4 - -2). Solve 46*h = n + 43*h + 9, z = -5*n + 4*h - 1 for n. 3 Let u be ((-22)/10 + 1)*-5. Let y(k) = k**3 - 6*k**2 - 13*k + 71. Let m be y(4). Let p be 166/1079 - 50/m. Solve 20 = u*f - 2*f - p*b, -5*b = 10 for f. 3 Let w be (0 - 0) + -924 + -39 + 35. Let m = w + 930. Solve -4*j - c - 3 =
{ "pile_set_name": "DM Mathematics" }
- 140*j**2 in the form b*j**4 + g*j + f + x*j**2 + n*j**3 and give g. -1 Rearrange 0*m - 4*m + 7*m + 2 - 12 to the form r*m + j and give r. 3 Express (k + 68 - 68)*(2 - 1 - 3) + k + k - 4*k in the form d + m*k and give m. -4 Rearrange 2552*y**2 + 223*y - 2552*y**2 + 3*y**3 to the form b*y**2 + k + u*y**3 + f*y and give f. 223 Rearrange (-44*x - 37*x + 0*x)*(-2*x**3 + 6*x**3 - 2*x**3) + (-4*x + 4*x - x**3)*(-8 - 8*x + 8) to f*x + h + s*x**2 + a*x**3 + w*x**4 and give w. -154 Rearrange -44*g**4 - 43*g**4 + 70*g**4 + (4 - 5 - 1)*(-1 + 1 - 2*g)*(-2*g**3 - 4*g**3 + 4*g**3) to c*g**3 + n*g**2 + t*g**4 + o*g + x and give t. -25 Express (-70*v - 36 + 36)*(-3*v**2 - 5*v + 12*v + 7*v**3 + 3*v**2) as d*v**2 + t*v**3 + c + s*v + w*v**4 and give w. -490 Rearrange (2 - 2 + 3)*(12 - 10 - 8 + 26*r)*(-5 + 5 - 6*r**2 - 1) to the form o + m*r**2 + t*r + s*r**3 and give s. -468 Express (-5*u**2 + u**2 + u**2)*(-4 + 1 + 2)*(-47 + 5 - 16)*(1 + u - 1) in the form g*u**2 + v*u + w*u**3 + s and give w. -174 Express -11*r + 14*r**2 + 3*r**2 + 2*r + 5*r**2 in the form t + d*r**2 + w*r and give w. -9 Rearrange 8816 - 8816 + 497*f**2 to the form h*f + j + b*f**2 and give b. 497 Express 51*c**2 + c**3 - 4*c**3 + 48*c**2 - 97*c**2 - 30 as t + w*c + x*c**3 + o*c**2 and give x. -3 Rearrange 4*z**2 - 6*z**4 + 0*z**2 + z**4 + 7*z**4 + 4*z**3 - 5 to g*z**4 + t + l*z + q*z**3 + p*z**2 and give t. -5 Rearrange 6 + 3*l**3 + 6 - 16 + 6 - 7*l to s + t*l**3 + m*l + o*l**2 and give s. 2 Express 66*d**3 + 11*d - 9*d - 16*d**4 + 1 - 64*d**3 - 3*d**2 in the form m*d**3 + w*d + k*d**4 + n + t*d**2 and give t. -3 Rearrange (2*p - 2*p - 4*p**2)*(-2 + 0 + 0)*(163 - 163 + 49*p) to the form h*p**3 + c + i*p + k*p**2 and give i. 0 Express r + 12*r - 3*r + (-4 + 4 + 2)*(-2*r + 4*r - r) + 0*r + 3*r - 2*r in the form h + x*r and give x. 13 Express -r**3 + 2*r**3 + 0*r**3 - r**3 + r**3 + r**3 + (-3 + 3 - 3*r)*(-3*r**2 + 3*r**2 - 2*r**2) in the form g + m*r**3 + f*r**2 + b*r and give m. 8 Express 1882*l**2 + 0*l**3 + l + 373 + 4*l**3 - 1884*l**2 - 2*l**3 in the form m*l + p + a*l**2 + n*l**3 and give m. 1 Express (0*z + 2*z - 6*z)*(0 - 1 - 5) + 2*z - 16*z - z + 0*z - 2*z + z - 2*z + z + 2*z + (1 + z - 1)*(-2 + 3 - 3) + 2*z + 3 - 3 as y*z + h and give y. 9 Express 2*r**3 + 0*r**4 + 4 - 4 + 6*r - r**4 + 2*r**2 - r**4 as p*r**3 + w*r + z*r**2 + g + q*r**4 and give w. 6 Express 578*k - 1698*k + 573*k + 571*k in the form w*k + l and give w. 24 Express 290 + 3*k - 152 + 371 in the form l + o*k and give o. 3 Rearrange (t - t - 3*t + (-2*t + t - t)*(22 - 38 + 17))*(-t + 5*t - t) to u*t + l + w*t**2 and give w. -15 Express -2*v**4 + 1460*v**2 + 1460*v**2 + 2*v - 3*v - 2930*v**2 - 17*v**4 as w*v + q*v**4 + f*v**3 + i + y*v**2 and give w. -1 Express 3*n**2 + 23*n**4 - 7*n**2 + 2 - 16*n**3 - 45*n**4 + 23*n**4 as g*n**3 + m*n**2 + f*n**4 + j*n + r and give m. -4 Rearrange (0 + 2 - 1 + (-1 + 4 - 2)*(-3 + 0 + 4))*(0 - 2 - 1)*((-2*r + r + 2*r)*(3 - 5 + 0) - 3*r - 5*r + 0*r) to the form k + p*r and give p. 60 Rearrange 1046621 - 1046621 + 1053*n to the form r + t*n and give r. 0 Express (4 - 4 + 2)*(2 + 0 - 11)*(37*c - 44*c - 65*c) in the form s*c + x and give s. 1296 Rearrange -m**4 - 14*m**4 - 2*m + 0 - 2 - 8*m**4 - 3*m**2 + 31*m**4 to c*m + g*m**3 + r*m**2 + u*m**4 + b and give u. 8 Express -106*p**3 + p - 9*p + 270*p**3 - p**2 + (0 + 0 - p)*(-3*p**2 - p**2 + 6*p**2) in the form j*p**3 + n + y*p + o*p**2 and give j. 162 Rearrange 2*s + 559 - 492 - 1193 to the form l + u*s and give l. -1126 Express (-g**2 - 4*g**2 - g**2)*(-3 + 50 + 112) + (g - 2*g + 2*g)*(g - 4*g + 2*g) in the form p + q*g**2 + l*g and give q. -955 Rearrange 2*x**3 + 4*x - 18*x**3 + 11*x**3 + 2*x**2 + 6*x**3 - 3 to the form h + c*x + m*x**3 + n*x**2 and give c. 4 Express -6 + 34 + 176*g - 186*g as c*g + x and give c. -10 Rearrange 3*a**3 - 20*a + a**4 + 0*a + a**2 + 20*a to h*a**3 + g*a + c + l*a**2 + m*a**4 and give h. 3 Express (6 + 4*w - 6)*(-w**3 + 17*w**3 + 5*w**3) + 0 + 0 + 2*w**4 + (0*w**2 - w**2 - w**2)*(-w**2 - 1 + 1) as l*w**3 + b*w + f + v*w**4 + i*w**2 and give v. 88 Rearrange 0 + 97*l**2 - 4*l**3 + 3*l**3 - 241*l**2 - 183*l**2 + 1 to t + j*l**3 + y*l**2 + q*l and give j. -1 Express -3*g + 17*g**4 + 0*g**4 - 3*g**4 - 23*g**3 + 2*g**2 - 11*g**4 - 4*g in the form k*g**4 + b + r*g**3 + l*g + o*g**2 and give l. -7 Rearrange -110*k + 207*k - 98*k to s + r*k and give r. -1 Express 9 - 3*c**2 + 0*c**2 + 7*c**4 - 3 + 2 - 3 in the form l + r*c**2 + h*c**3 + b*c**4 + v*c and give r. -3 Express ((2*j - 1 + 1)*(j - 2*j + 0*j) - 1 + 6*j**2 + 1)*(54 - 103 + 83) as z*j**2 + l*j + b and give l. 0 Express (3*h**2 + 12*h**2 - 8*h**2)*((0 - 2*h + 0)*(0 - 4 + 6) + 6 - 6 - 6*h) as f*h**2 + r*h + v + n*h**3 and give n. -70 Rearrange (-39948 + 39948 + 444*t**2)*(-2*t**2 + 0*t**2 + 0*t**2) to the form o + c*t**2 + j*t**3 + w*t + n*t**4 and give n. -888 Rearrange 3*w - 332 - 5*w + 345 + 7*w**4 to the form y*w + j*w**3 + b + r*w**4 + p*w**2 and give r. 7 Express (2*l + 0 + 0)*(5 - 4 - 3) - 18654 - 641*l - 281*l + 18654 as z*l + o and give z. -926 Rearrange 74*s - 4 + 27*s - 62*s + 4 to v*s + u and give v. 39 Express (1 + 1 - 1)*(23*x - 12*x + 19*x) + 3*x + x - x + 0 + x + 0 + 4*x - 5*x + 3*x + (0 + 0 + 2)*(-2*x + 5*x - 5*x) - x + 1 - 1 as k + h*x and give h. 31 Express (0*z + 2*z**2 + 0*z)*(10 - 2 + 16) + (4 + 0 - 3)*(14*z**2 - 3*z**2 + 3*z**2) in the form u*z + a + w*z**2 and give w. 62 Rearrange 41*y + 2*y**4 - 14*y - 17*y - 9*y - 2 + 38*y**3 to the form m*y + p*y**3 + a*y**2 + z + k*y**4 and give z. -2 Rearrange -2*l**2 + 3*l**2 + 0*l**2 + (11*l - 7*l + 9*l)*(6 - l - 6) - 2*l**2 + 4*l**2 - l**2 to q*l + b*l**2 + a and give b. -11 Rearrange 17 + 596*r - 6 - 11 + 665*r to j + c*r and give c. 1261 Express (-5 + 14 + 3)*((-2 + 0 + 0)*(13*x - 4*x + 9*x) + 0*x - x - x - 2*x + 3*x - 4*x) as f + t*x and give f. 0 Rearrange 191 - 241*j**2 - 191 to the form o + k*j**2 + m*j and give o. 0 Express -732*x**2 - 2 + 366*x**2 - 12*x + 368*x**2 in the form r*x + p + g*x**2 and give r. -12 Rearrange -979 - 4*p - p + 3*p + 2*p**2 + 1040 to a*p + g*p**2 + o and give o. 61 Express -643*n + 553*n + 1646*n in the form l*n + h and give l. 1556 Express (89 - 89 - 3*a**2)*(-3*a + 0*a + a) - 2*a**3 - 2 - 2 + 6 as c*a**3 + x*a**2 + p*a + g and give g. 2 Express 155*p - 8*p + 144*p in the form h + b*p and give b. 291 Express (11*x - 13*x + 19*x)*(-9 + 1 + 1) + 0 - x + 0 in the form j*x + c and give j. -120 Rearrange -41 + 43 - 5*q + 16*q to o + r*q and give r. 11 Rearrange 6*y - 5*y + y**3 + y**3 - 2 + 7*y**3 - 6*y**3 to c*y**2 + g*y + k*y**3 + n and give n. -2 Express -75*o + 2*o + 115*o + 4 in the form d + v*o and give v. 42 Express 8353 - 8353 - 218*r as i*r + b and give i. -218 Rearrange 7*g**2 + 3*g - 2 - 2*g**3 + 15*g**2 + 9*g**2 - 27*g**2 to o*g**2 + f*g + z + j*g**3 and give z. -2 Express (-2 + 2 - 2)*(-4*z + 3*z + 2*z)*((3 - 3 - z**2)*(-z - 2*z + 5*z) - 303 + 303 - 129*z**3) in the form c*z**4 + g + i*z**3 + m*z**2 + q*z and give c. 262 Rearrange (-77*m + 52*m - 306*m)*(4*m**2 - 3*m**2 - 2*m**2) to i*m**3 + k + h*m**2 + p*m and give i. 331 Rearrange (0 - 3 + 2)*(10 - 3 + 4)*(12*a**2 + 2*a**2 + 2*a**2) to the form z*a**2 + w*a + i and give z. -176 Rearrange -14*m**2 - 11*m**2 + 190 + 44*m**2 - 10*m**2 - 10*m**2 to z*m + w + i*m**2 and give w. 190 Express (-3*o + 4*o + 0*o)*(-3*o**3 + 2*o**3 + 2*o**3) + (11*o - 2*o + 7*o)*(86 - 86 - 19*o**3) in the form a*o**2 + m*o**3 + w*o + n*o**4 + y and give w. 0 Rearrange -6650*x**3 + 6652*x**3 - 22*x**2 - 9 + 2*x**2 to l + o*x**3 + f*x**2 + d*x and give l. -9 Rearrange -26*w**4 + 31*w**4 - 6*w**4 + 3*w**3 - w - 2 + 23*w**2 to the form r*w + j*w**4 + s*w**3 + o + b*w**2 and give b. 23 Rearrange -17*n**2 - 5*n**2 + 2*n**2 - 82*n**2 to j*n**2 + x + c*n and give j. -102 Rearrange (0 + 0 + 2*b**2)*(4*b**2 - b**2 - 4*b**2) - 160*b**2 - 131*b**4 + 125*b**4 - 63*b**2 to h*b**4 + d + l*b**2 + w*b + z*b**3 and give h. -8 Express 11 + 2*k - k - 9 + 2*k - k + 2*k + (1 - 4 + 1)*(k - 4*k + 2*k) + 1 - 1 + 2*k in the form q*k + n and give n. 2 Express -6 + 24*c**2 + 50*c**3 + 7 - 3 - 51*c**3 as a*c + h + r*c**3 + d*c**2 and give d. 24 Express 0*p**4 + 0*p**4 - 2*p**4 + (-3 + 3 - 2)*(-1 + 0 + 0)*(17 - 5 + 2)*(-3*p**2 - p**4 + 3*p**2) in the form d*p*
{ "pile_set_name": "DM Mathematics" }
111 - 2*f to q + h*f**2 + m*f + g*f**3 and give g. -1 Express -2*t**4 + 6*t**2 - 8*t**2 + 2 + 0*t**3 + 7*t**3 in the form j*t**3 + k*t**2 + d + z*t**4 + r*t and give r. 0 Rearrange -5*p**3 - 6*p**3 + 4*p**3 + p**2 - 2*p**3 + 2 to n*p**3 + u + o*p + y*p**2 and give u. 2 Express (56*t - 6*t**3 - 8*t**3 + 11*t**3)*(2*t - 3 + 3) as q*t**3 + u*t**2 + a + l*t**4 + g*t and give l. -6 Express (-52 + 28 - 2*n + 33)*((-4*n + 4*n - 2*n)*(0 + 8 - 3) + 0 + 0 - 2*n) as u*n**2 + o + f*n and give u. 24 Rearrange -9*m + 4*m - 3*m - m - m + 0*m + 2*m + 2*m - 3*m - 3*m + m + m + (1 - 1 + 2)*(m - 4*m + 4*m) - m + 0*m + 3*m to the form w*m + p and give w. -6 Rearrange (10*v**2 + 12*v**2 + v + 0*v**2)*(-5 + 4 + 3) to the form f*v**2 + c + b*v and give b. 2 Rearrange (2*b**2 - 4*b + 4*b + 3*b)*(-297 + 297 - 23*b**2) to s*b**3 + h + k*b + t*b**4 + p*b**2 and give s. -69 Express (2*b**3 + 4*b**3 - 5*b**3 + (-b**3 + 3*b**3 + 2*b**3)*(0 - 3 - 2))*(0 + 3 - 5) in the form v*b**2 + u + w*b**3 + o*b and give w. 38 Express -3*j**3 + 2 + 5*j + 7*j**3 - 3*j**3 as i + w*j**3 + u*j + m*j**2 and give w. 1 Rearrange (b**2 + 2*b**2 - b**2)*(3*b - 4*b + 3*b) - 2*b**3 - 3*b + 3*b + (-9 - 2 - 2)*(-b**3 - 2*b**3 + b**3) to n + f*b + t*b**2 + y*b**3 and give y. 28 Express 2*c**3 - 1 - 4 + 3 + c + 0*c as h + s*c**2 + t*c**3 + q*c and give q. 1 Rearrange 8*d + 6*d - 10*d + 6*d - 2*d - 2*d + 0*d - 3*d + 4*d + (5*d - 6*d - d)*(-2 + 0 + 0) - 5*d + 2*d + 4*d - d - 2*d + 5*d - 2 to z*d + b and give z. 14 Express (-44 - 46 + 8)*(4*x**4 - 11*x + 11*x) as b + i*x**2 + j*x + r*x**4 + f*x**3 and give i. 0 Rearrange -3*u + 124 - 54 - 66 + 4*u**2 to the form v + d*u + q*u**2 and give v. 4 Express (-2*k - k + k)*(-3 + 3 - k**2) - 60*k**3 + 3100 - 3100 as r + f*k + w*k**2 + m*k**3 and give m. -58 Rearrange 5*n**2 - 5*n**2 + 0*n - 3*n**3 - n**2 - n**4 - 2*n to f*n**4 + m*n**3 + v + i*n**2 + j*n and give i. -1 Express (-1 - 3 + 5)*(14*v - 6*v + 7*v)*(-2 + 4 - 3) as g + h*v and give h. -15 Express (0*o**3 - 5*o**3 + 3*o**3)*(-6*o - 5 + 5) in the form p*o**3 + i*o**4 + u*o**2 + a + q*o and give i. 12 Rearrange (l**2 - 3*l**2 + 4*l**2)*(2*l**2 + 20*l - 20*l)*(-1 + 2 + 1) to the form p*l + a + v*l**3 + t*l**2 + o*l**4 and give o. 8 Rearrange (-2*f + 2*f - 3*f)*(-1 - 3 + 2) - 3*f + f + 0*f to m*f + k and give k. 0 Express (69*h + 41*h + 28*h + 32*h)*(0 + 0 + 1) as m*h + v and give m. 170 Express -1 - 6*s + 2*s - 2 + 3*s**2 + 8*s as v + q*s**2 + g*s and give q. 3 Rearrange -74*h + 0 + 0 + 22*h + 2*h**2 to b*h**2 + v + m*h and give m. -52 Rearrange (-4*n**2 + n**2 + 4*n**2)*(-61 + 12 - 4) to i*n + c*n**2 + y and give c. -53 Rearrange (-34 - 53*l**2 + 110*l**2 - 59*l**2)*(0 - l**2 + 0) to o*l + t*l**4 + w*l**2 + s + n*l**3 and give t. 2 Express (2*m + 9 - 9 - 3*m - m + 2*m + (2 + 2 - 2)*(-2 - 3*m + 2))*(0 + 2 - 1)*(4*m - m - 5*m) as b + f*m**2 + l*m and give l. 0 Rearrange (8 - 8 - 4*l)*(-l**2 - 2*l**2 + 5*l**2)*(3*l + 6 - 5 + 1) to g*l**3 + w*l + a*l**4 + v + b*l**2 and give g. -16 Rearrange 1 - 219*g - 1 to f*g + z and give f. -219 Rearrange 0*c**2 - 2*c + 7*c**2 - 6*c**2 + 7 + 0*c**2 to the form s*c + p + x*c**2 and give p. 7 Rearrange ((-4 - 4 + 2)*(-4 + 4 + 2*x) - x + 0*x + 3*x)*(x + 6*x - 2*x) to a + g*x + d*x**2 and give d. -50 Rearrange 11 + 27*z - 22 + 11 to f + k*z and give k. 27 Express (-18*w + 9*w + 70*w)*(1 - 1 + 1) + (w - w + w)*(1 - 2 + 0) as d*w + g and give d. 60 Express (v**4 + 2*v**4 - 2*v**4)*(-3 + 1 + 1)*(13 - 8 + 31) as u*v**3 + r*v**2 + d + g*v**4 + q*v and give g. -36 Rearrange 401*u + 25*u**2 - 401*u to the form b + t*u + z*u**2 and give z. 25 Express 5*g - 5*g - g**3 + (5 - 5 + 4*g)*(g**2 + g**2 - g**2) as r*g**2 + n + p*g**3 + q*g and give q. 0 Express 15*g**3 + 18*g**2 + 2 - 18*g**2 + 2*g + 2*g**4 as v + t*g**3 + y*g**2 + h*g**4 + d*g and give d. 2 Rearrange (10*y**2 + 0*y**2 - 3*y**2)*(1 + 0 + 1)*(-4*y - y + 4*y) to h + p*y**3 + a*y + x*y**2 and give p. -14 Express -4*b**2 - 2*b**3 + 8*b**3 - 3*b**3 - b + 3*b**2 in the form p*b + u*b**3 + i*b**2 + s and give u. 3 Rearrange 2*c + 4*c + c + 5*c to the form g*c + n and give g. 12 Express (2*g + g - g)*(-9 + 4 - 10)*(4 + 2*g**2 - 4 + 1) in the form k*g + b*g**2 + o + d*g**3 and give d. -60 Rearrange 3 - 50*n + 3 - 6 to t + s*n and give s. -50 Express -1 - 238*s**2 - s**3 + 252*s**2 + 1 in the form x + w*s**2 + q*s + j*s**3 and give w. 14 Rearrange 6*o + 11 - 5*o**2 + 10 - 23 to the form w*o**2 + z*o + p and give w. -5 Rearrange -3*i - 9 + 0*i + 1 + 0 to n*i + o and give o. -8 Rearrange -102*a - 17*a - 33*a + 32*a to f + h*a and give h. -120 Rearrange -5 + 9*o**2 - 5*o**2 - 6*o**2 + 13 to the form p*o + d*o**2 + a and give d. -2 Rearrange 7*u**3 + 0*u + u - 4*u**3 + 2*u**2 + 2*u**4 - 3 - 2*u**3 to the form t + s*u**4 + y*u + m*u**3 + i*u**2 and give s. 2 Rearrange u**3 + 10*u**4 - 11*u**4 + 3*u - 2*u**2 + u**3 to the form m*u**4 + v*u**3 + y*u**2 + o*u + p and give m. -1 Rearrange 23 + 19*y - 23 to the form f*y + a and give f. 19 Express -q + 11*q**4 - 1 - 1 - 10*q**4 in the form p*q**2 + a*q + u + g*q**3 + r*q**4 and give r. 1 Express c**4 + 5 + 2*c**3 - 6 + 12*c**4 as d*c**2 + l*c**3 + q + t*c + s*c**4 and give s. 13 Express (29*z + 48 + 34*z**2 - 50 - 36*z**2)*(-1 + 1 + 2) in the form x*z + l + g*z**2 and give g. -4 Rearrange 9*g**2 + 1 - 14*g**2 + 2*g**2 to the form i*g**2 + p + o*g and give i. -3 Express (-144*q - 171*q + 22*q)*(4*q**2 + q**2 - 6*q**2) in the form f*q**2 + t + m*q + l*q**3 and give l. 293 Rearrange (1 + 1 + 0)*(25*g - 5*g**2 - 16*g**2 + 22*g**2) + (2*g**2 + g**2 - 4*g**2)*(-2 + 1 + 0) to u + d*g + v*g**2 and give d. 50 Rearrange 19*s**2 + s + 0*s - s to the form r*s + w*s**2 + q and give w. 19 Express (-9*h**3 + 5*h**3 + 7*h**3)*(-5*h + 1 + 4*h - h) in the form a*h**2 + w + n*h**3 + r*h + f*h**4 and give f. -6 Rearrange (4*n - 3*n - 2*n + (-1 - n + 1)*(1 + 0 + 1))*(-3*n + 0 + 0) to w + m*n + u*n**2 and give u. 9 Express 6*d - 9*d + 15*d as u*d + x and give u. 12 Express -4*a**2 - 6*a**2 + 3*a**2 in the form u + o*a + f*a**2 and give f. -7 Rearrange u - u**3 + 2*u**2 + u**2 - u to the form g + h*u**2 + b*u + x*u**3 and give h. 3 Rearrange (-3*d + d + 0*d)*(14*d - 30*d + 11 + 18*d) to the form s*d + u + m*d**2 and give m. -4 Rearrange (6*r - 3*r - 4*r + 2 + 3*r - 2 + (-2 - 2 + 5)*(0*r - r + 0*r))*(3 - 3 + 3) to the form h + k*r and give k. 3 Express 3*b - 3*b + b**3 + (404*b**2 - 946*b**2 + 481*b**2)*(2 - 2 - 2*b) + 3*b - 3*b + b**3 in the form q*b**2 + t*b + s + l*b**3 and give l. 124 Express c**2 + 0*c**2 - 2*c**2 + (-3 + 3 + 7)*(-c**2 - 5*c + 5*c) in the form r*c**2 + p + b*c and give r. -8 Express -21*q**2 + 4 + 2*q**3 + 2 + 36*q**2 - 2*q - 11*q**2 in the form z*q**3 + w + s*q + u*q**2 and give u. 4 Express -77*u**2 - 17*u**2 + u + 16*u**2 - 87*u**2 in the form b + i*u + d*u**2 and give i. 1 Rearrange (-3 + 3 - 1)*(-19*p - 69 + 69) to k*p + r and give k. 19 Express 193*c + 27 - 68*c - 27 as q*c + i and give i. 0 Rearrange -v**4 - 1 + 4*v**3 + 2*v**2 - 5*v**3 + 0*v**4 + 3*v to the form a*v**4 + n*v**2 + x*v + f + i*v**3 and give i. -1 Rearrange (-5 + 0 + 0)*(-6*k - 2*k + k + (-k + 2*k + 0*k)*(-5 + 2 + 5)) - 4*k + k + 4*k + (-2 + 2 + 2)*(-2 + k + 2) - 2 + 2 + k to the form f + j*k and give j. 29 Rearrange 10 - 7*q**2 + 3*q**2 + 16 + 2*q**2 to the form g*q**2 + u*q + v and give g. -2 Rearrange (-45*o**3 + 2*o**3 - 13*o**3)*(3 + 0 - 1)*(-5 + 0 + 3) to w*o**2 + l + h*o**3 + x*o and give h. 224 Express (2 + 2 - 3)*(-2*q + q + 2*q)*(q**2 - q**2 - 2*q**2) as w*q**3 + v*q**2 + y + o*q and give w. -2 Rearrange -47 + 47 - 6*p**2 + 21*p**2 to w + l*p**2 + d*p and give l. 15 Rearrange 19 + 5*v - 18*v - 18 to the form g*v + q and give g. -13 Rearrange 88*p - 162*p - 2*p**3 - p**2 + 89*p to the form v*p**3 + j*p + g*p**2 + s and give g. -1 Express -2*t**2 + 2*t + 6 + 3*t**2 + 15 - 10 in the form v + p*t + q*t**2 and give p. 2 Rearrange (4*u**2 + u**2 - u**2)*(-1 + 1 + u)*(4*u - 3*u + u) to the form t*u + s*u**3 + q + g*u**2 + d*u**4 and give s. 0 Express (0*v + 0*v - 2*v)*(398 - 600 + 395) as r*v + s and give s. 0 Rearrange (3 - 3 - 2*d**4)*(-3 + 13 + 28) to t*d**4 + l*d**3 + c*d + b + m*d**2 and give t. -76 Rearrange (-r + 3*r - r)*(-2*r**3 + 2*r**3 + 2*r**3) - 5*r**4 + 7*r**4 + 3 + 1 - r to j*r**2 + a*r**4 + z*r + y*r**3
{ "pile_set_name": "DM Mathematics" }
to 2 dps. -0.11 Let t = -382 + 3931. Let x = -2319 + t. What is x rounded to the nearest 100? 1200 Let p = 2375265.96299969 - 2375266. Let k = p - -0.037. What is k rounded to 7 dps? -0.0000003 Let o = -230 + 231.11. Let f = -0.89 - -1.32. Let y = o - f. What is y rounded to 1 dp? 0.7 Let z(c) = 1630*c**2 - 29*c - 361. Let a be z(-39). What is a rounded to the nearest 1000000? 2000000 Let a = -8012.2 - -8065.2178. Let r = a - 53. What is r rounded to three decimal places? 0.018 Let c = -75.5997902 - -75.6. Round c to 5 dps. 0.00021 Let g = -498.0797 - -498. Let q = g - -0.08. What is q rounded to three dps? 0 Let t = 9.989 + -9.989005353. What is t rounded to 6 decimal places? -0.000005 Let b = 1146.44 + -1118. Round b to the nearest integer. 28 Suppose -52*k - 17*k - 503355000 = 0. What is k rounded to the nearest 1000000? -7000000 Let p = 3.87 - 16.83. Let m = 12.9599479 + p. What is m rounded to five decimal places? -0.00005 Let f be 0*((-9)/(-36) + 3/4). Suppose 5*c - 4*z + 56999992 = f, 0*c - 22800008 = 2*c + 4*z. What is c rounded to the nearest 1000000? -11000000 Let c be (-1310356)/(3 - (-14)/(-6)). Let h = 6952058 + c. Let p = h + -8186524. Round p to the nearest 1000000. -3000000 Let m(v) = 1611*v**2 - 13. Let j be m(4). Suppose 4*n = 5*y + 6*n - 42951, 5*n - j = -3*y. Suppose f + y = -5409. Round f to the nearest ten thousand. -10000 Let i = -11012 + 11021.946. What is i rounded to 0 decimal places? 10 Let g = 2944.97634 - 2945. What is g rounded to two dps? -0.02 Let v be 3*(4 + 32/(-12)). Suppose v*o = -o - g - 9450001, -4*g = 2*o + 3780004. What is o rounded to the nearest one hundred thousand? -1900000 Let v = -11.221 + 6.688. Let h = v - -0.723. Round h to one decimal place. -3.8 Let f(s) = -3321*s**3 + 3*s**2 - 4*s + 2. Let v be f(1). Let u be v/(-6)*6/(-4). Round u to the nearest one hundred. -800 Let s be -2 + 2 + 1 + -5 + 4. Let v be (18 + s)/((-2)/(-2100)). What is v rounded to the nearest one thousand? 19000 Let t = -0.75 + 1.81. Let h = t + -1.1. Let w = -0.39 - h. Round w to 1 dp. -0.4 Let s = -4614 - -8868. Let v = s - 4256.6136. Let z = v + 2.6. Round z to three dps. -0.014 Let m = -7 + 140. Let j = m - 132.999947. What is j rounded to 5 dps? 0.00005 Suppose -y - 2 = -3. Let l(i) = i**3 - 2*i**2 + 2*i - 1. Let p be l(y). Suppose -x + p*x = 3200. What is x rounded to the nearest one thousand? -3000 Let f be 0 - (-4 + -2 + -12). Let d = -2 - -6. Suppose -9 = -4*b + 5*o, -2*b - d*o + 2*o = f. Round b to zero dps. -4 Let b = 124398.631 - 124246. Let s = b - -0.369. Let f = -151.42 + s. What is f rounded to one decimal place? 1.6 Let r(f) = 44*f + 1. Let p be r(4). Let t = -87 - -89. Suppose t*a + 6*o = o - 95, -3*a - p = -4*o. What is a rounded to the nearest ten? -60 Let o be (-1)/((-4)/2124) - -2. Let c = o - 163. Suppose 2*j = -0*s - 2*s - 132, 0 = 5*j - 5*s + c. What is j rounded to the nearest ten? -70 Let o = 568 - 574.9. Let u = 7.81003456 + -0.91004526. Let g = u + o. Round g to 6 decimal places. -0.000011 Let d = 99.99999249 + -100. Round d to six dps. -0.000008 Let c = -13 + 13. Suppose o - 198000 = -c*o. What is o rounded to the nearest 10000? 200000 Let l = 1940 + -1936.085. Let i = 4.1 + -0.1. Let j = l - i. Round j to 2 decimal places. -0.09 Let f be ((-25940)/(-3))/((-2)/6). Round f to the nearest 10000. -30000 Let v = 19 - 45. Let t = -26.075 - v. What is t rounded to 2 decimal places? -0.08 Let h = 23 - 3. Let p be 5*(0 + 8/h). Suppose -7*f = -p*f + 5100000. What is f rounded to the nearest 100000? -1000000 Let w = 290.88 + -325. Let t = 34 + w. Round t to 1 dp. -0.1 Let l = -1251199.99986 - -1251218. Let k = l + -18. Round k to four decimal places. 0.0001 Let g = 55.2 + -55.20001281. What is g rounded to 6 decimal places? -0.000013 Let l be (16/20)/(2/(-5)). Let c be l + -1591 + (-3 - -3 - -3). Round c to the nearest 100. -1600 Let o = -202.05 - -15.45. Round o to the nearest ten. -190 Let u(s) = 5*s**2 + s. Let b be u(1). Suppose 2*y = b*y - 6160000. Suppose -j = j - y. What is j rounded to the nearest 100000? 800000 Let t = -55866.552 + 56100.54817. Let v = -234 + t. What is v rounded to 4 decimal places? -0.0038 Let s = -44 - -43.976. Let a = -0.01955 - -0.0421. Let o = a + s. Round o to four dps. -0.0015 Let f = -87416358 - -87416357.800000028. Let o = f - -0.2. What is o rounded to seven decimal places? 0 Let n = -22 - -36. Let a = n - 14.0000007. What is a rounded to 6 decimal places? -0.000001 Suppose 0 = 5*s - s. Suppose s = -t - t. Suppose 2*q = -3*a + 3009, t = -6*a + 2*a + 12. Round q to the nearest 1000. 2000 Let r = -159 - -159.63. Let b = r + -1.73. Round b to the nearest integer. -1 Let z = -0.03 + -17.97. Let p = z + 11. Let o = -7.00000248 - p. Round o to 7 decimal places. -0.0000025 Let x = -940 + 939.99997356. Round x to six dps. -0.000026 Let m = 8 - -0.8. Let w = 8.836 - m. Round w to two decimal places. 0.04 Let b = 80 + -104. Let y = b + 24.0636. What is y rounded to two decimal places? 0.06 Suppose 2*a = -0*y + 5*y + 15303, 7662 = a + y. Let w = a - 13106. Let s = w + 3017. What is s rounded to the nearest 100? -2400 Let w = -9 + 14. Suppose w - 15 = 5*t. Let c be -495 - t - 3/(-1). What is c rounded to the nearest 100? -500 Let w be (4 - 3 - 228)*-629. Let z = 82783 - w. What is z rounded to the nearest 100000? -100000 Let f(y) = y**2 - 17*y + 10. Let r be f(15). Let u be -50256221 + 1 + r/5. Let t = -26356224 - u. What is t rounded to the nearest one million? 24000000 Suppose 2*c - t = 9, -2*c + 9 = 4*t - 5. Let a be -8 + 0 - (-6 + c). Let w = a - -35. Round w to the nearest ten. 30 Let b = 13.094501 - 4.594337. Let d = b - 8.5. What is d rounded to 5 dps? 0.00016 Let y = 26154806 + -26154805.70000013. Let z = 0.06 + -0.36. Let f = y + z. Round f to 7 decimal places. -0.0000001 Let w = -745.73 + 745.02158. Let n = w + 0.71. Round n to 4 decimal places. 0.0016 Suppose 0 = 20*h + 1494490 + 10195510. What is h rounded to the nearest 100000? -600000 Let u = -727.97 - -673.7. What is u rounded to zero decimal places? -54 Let u(h) = -708*h - 5. Let y be u(24). Let g = y - -9837. What is g rounded to the nearest 100? -7200 Let q = 7.06 - 6.4. Let l = q + -0.594. Round l to 2 decimal places. 0.07 Let q = 0.9289 - -0.2801. What is q rounded to 1 dp? 1.2 Let t be (-30378)/(-14) - 3/(-21). Suppose 2*d = 4*p - t, 5*p - 5*d + d - 2705 = 0. Let g be (p/4)/((-3)/(-48)). Round g to the nearest one hundred. 2200 Let w = 842.24 + -860. Let j = -0.24 + w. Let t = -18.007 - j. Round t to three decimal places. -0.007 Let l = -4143079.4279 + 4142053. Let o = l + 1051.427955. Let j = -25 + o. Round j to 5 decimal places. 0.00006 Let x = -33 - -32.983. Let k = x - 0.073. What is k rounded to two decimal places? -0.09 Let w(a) = -73314*a + 11. Let g be w(12). Let z = g + 20779757. What is z rounded to the nearest 1000000? 20000000 Let a = 0.05409508 - 0.0541. Round a to seven decimal places. -0.0000049 Let b = -915.847391441 - -883.2473913. Let f = b - -32.6. Round f to 7 decimal places. -0.0000001 Let r = -0.1265 - -0.1273435. Round r to 5 dps. 0.00084 Let k(d) = 3*d + 17. Let y be k(-5). Let o(j) = -1150001*j**3 + 3*j**2 - 4*j + 4. Let g be o(y). What is g rounded to the nearest one million? -9000000 Let j = -24460.3 - -23400. Let u = j - -1234.69. Let w = 173 - u. Round w to 1 dp. -1.4 Let y = -1742 - -1742.0005153. Round y to five dps. 0.00052 Let j = 25.106 - 25.2. What is j rounded to one dp? -0.1 Suppose 0 = -3*i + 6*i - 18. Suppose -i*p + p = -3693435. Let c = 191313 + p. What is c rounded to the nearest 100000? 900000 Let d = -35.0187 - 0.0813. Round d to zero decimal places. -35 Let c = 42.16 - 41. Let m = -1.1600057 + c. Round m to 6 decimal places. -0.000006 Let y = -53.43 + 0.43. Let z = -52.9742 - y. What is z rounded to 2 decimal places? 0.03 Let b = -1145975.309 + 1145281. Let c = b - -694. What is c rounded to two dps? -0.31 Let m = 70134183.99761 + -70134704. Let l = -307 + -213. Let c = m - l. What is c rounded to 4 decimal places? -0.0024 Let b be -1732663*(-2 - -1) + (-12)/(-3). Suppose -4*a - b - 451333 = 0. What is a rounded to the nearest 100000? -500000 Let f = -1963082314 - -1963082328.89999931. Let b = f + -14.9. Round b to 7 decimal places. -0.0000007 Let c = -89707 - -
{ "pile_set_name": "DM Mathematics" }
ative of -v**6/15 - v**2 - 8*v + 1. Let a(l) be the first derivative of j(l). Differentiate a(b) with respect to b. -8*b**3 Let c(f) = -3*f**2 - 8*f + 5. Let o(a) = 4*a**2 + 8*a - 6. Let b(q) = -6*c(q) - 5*o(q). Find the second derivative of b(u) wrt u. -4 Let j(n) be the first derivative of 14*n**5/5 + 14*n + 25. What is the first derivative of j(t) wrt t? 56*t**3 Differentiate 4*s**2 - 4*s**2 + 4*s**3 + 5 + 3*s**3 with respect to s. 21*s**2 Let v = -108 + 542/5. Let x(i) be the first derivative of 0*i**3 + 0*i - v*i**5 + 0*i**4 - 2 - 1/2*i**2. What is the second derivative of x(l) wrt l? -24*l**2 Let l(q) be the first derivative of 1/2*q**4 + 0*q**2 + 0*q + 1 + 2/3*q**3. Find the third derivative of l(n) wrt n. 12 Let p(b) = -3*b - 3. Let y be p(-3). What is the third derivative of c**2 - 3*c**2 + 5*c**2 - 3*c**y wrt c? -360*c**3 Let z(r) = -4 - r + 0*r + 5. Let v be z(2). Let k(n) = -7*n**4 + 6*n + 4. Let h(f) = f**4 - f - 1. Let c(u) = v*k(u) - 6*h(u). Differentiate c(l) wrt l. 4*l**3 Suppose -4*u = -2*x, 7*x - 3*x = -3*u + 22. Suppose z + 5*p = -0*z + 12, -2*z - 4 = -x*p. Find the second derivative of -2*y - z + 2 - y**4 wrt y. -12*y**2 Let m(k) = -26*k - 16. Let v(w) = w. Let r(q) = -m(q) - 12*v(q). What is the derivative of r(a) wrt a? 14 Let u(g) = -6*g - 10. Let x(h) = 3*h + 5. Let k(c) = -4*u(c) - 9*x(c). Differentiate k(w) with respect to w. -3 Differentiate 9*v**4 + 25 - 197*v**2 + 197*v**2 wrt v. 36*v**3 Let s(u) = -u**2 + u + 1. Let h(p) = 19*p**2 - 2*p + 8. Let a(t) = -h(t) - 2*s(t). Differentiate a(n) with respect to n. -34*n Let s(m) be the first derivative of -m**5/30 + m**4/12 + m**2/2 + 4. Let t(n) be the second derivative of s(n). What is the second derivative of t(v) wrt v? -4 Suppose u + 2*n = -4 + 3, 0 = -2*u + 5*n + 16. Find the first derivative of 3*q**u - q**3 + 1 - 5 + q**3 wrt q. 9*q**2 Let v be 1/(-1) - (0 - -1). Let o be 0*2/4 - v. What is the derivative of 2*u**2 + 3 + 4*u**2 - 6*u**o - u**2 wrt u? -2*u Let p(l) be the second derivative of -l**6/5 + l**4/6 - 2*l. What is the third derivative of p(h) wrt h? -144*h Suppose -4*f + 20 = -0*f. Suppose f*g - 9 = 2*b, -b = -4*g - 2*b + 15. What is the third derivative of -4*s**2 - s**g + 5*s**2 - 2*s**2 wrt s? -6 What is the third derivative of 9*a**2 - 17*a**2 + 10*a**2 - 6*a**4 wrt a? -144*a Let w(o) = -o**2 - 4*o - 1. Let p be w(-2). Suppose 2*s = -p*s + 25. Find the second derivative of -3*d**3 + 3*d - s*d + 2*d**3 wrt d. -6*d Let q = -9 - -12. What is the first derivative of n - 7 + 3 - 2*n**q - n wrt n? -6*n**2 Let q = 7 - 11. Let h(d) = d**2 + 4*d + 2. Let n be h(q). What is the first derivative of 2*m + n + 0 + 0 wrt m? 2 Let h(n) be the first derivative of -4 - 5/2*n**2 + 2*n**4 + 0*n**3 + 0*n. Find the second derivative of h(g) wrt g. 48*g Let a(t) be the first derivative of -2*t**7/21 + t**4/12 - 2*t + 4. Let k(f) be the first derivative of a(f). What is the third derivative of k(r) wrt r? -240*r**2 Let p(s) be the second derivative of -2*s + 1/3*s**4 - 1/3*s**3 + 0 + 0*s**2. Find the second derivative of p(d) wrt d. 8 Differentiate -3 + 3*f + 1 + 3*f wrt f. 6 Find the third derivative of 38*b**5 + 90*b**2 - b**5 - 129*b**2 wrt b. 2220*b**2 Let x(i) = 2*i - 11. Let s be x(12). What is the derivative of -s + 10 + w**2 + 0*w**2 wrt w? 2*w Let o(j) = j - 5. Suppose f = -x - x + 15, -4*f = -4*x - 12. Let g be o(f). Find the second derivative of l**g - l + l + 2*l wrt l. 2 Let o(s) = 17*s**4 + 3*s**3 + 2*s**2 + 3*s. Let p(j) = -17*j**4 - 4*j**3 - 3*j**2 - 4*j. Let h(t) = -4*o(t) - 3*p(t). Find the third derivative of h(f) wrt f. -408*f Let q(a) be the second derivative of 0 + 0*a**3 - 3/2*a**2 + 1/4*a**4 - 2*a. Find the first derivative of q(y) wrt y. 6*y Let v(t) be the third derivative of t**10/50400 - t**6/180 + t**5/12 - 2*t**2. Let p(b) be the third derivative of v(b). Differentiate p(c) wrt c. 12*c**3 What is the third derivative of 27*s**2 - 17*s**5 - s**6 + 14*s**5 + 19*s**2 wrt s? -120*s**3 - 180*s**2 Let p be (-12)/(-10)*(-15)/(-6). Let l be (2 + -8)*p/(-3). What is the third derivative of 3*d**l + d**2 + d**2 - d**6 wrt d? 240*d**3 Let b(l) be the first derivative of 2*l**4 + 10*l**3/3 - 11. Find the third derivative of b(j) wrt j. 48 Let i(q) be the first derivative of 4*q**3 - 15*q + 15. What is the derivative of i(b) wrt b? 24*b Let q(r) be the second derivative of r**7/35 - 7*r**4/24 + 3*r**2 - 2*r. Let f(k) be the first derivative of q(k). What is the second derivative of f(i) wrt i? 72*i**2 What is the third derivative of -17*c**6 + 4*c**2 - 14*c**2 + 13*c**6 wrt c? -480*c**3 Let z(v) be the third derivative of -v**5/60 + 7*v**4/8 + 14*v**3/3 - 42*v**2. What is the first derivative of z(x) wrt x? -2*x + 21 Let v = 3 + -1. Find the third derivative of -2*d**5 - 2*d**2 + 0*d**v + 2*d**5 + 2*d**5 wrt d. 120*d**2 Let g(j) be the third derivative of j**7/105 - 5*j**4/24 - j**2. Find the second derivative of g(x) wrt x. 24*x**2 Let k(v) be the first derivative of -v**6 + 6*v**2 + 12. What is the second derivative of k(d) wrt d? -120*d**3 Let i(x) be the second derivative of -1/30*x**6 + 0*x**2 - 7*x + 0*x**5 - 1/6*x**3 + 0*x**4 + 0. What is the second derivative of i(h) wrt h? -12*h**2 Let q be 1/((-2)/8)*-3. Let m(b) = b**2 - 12*b + 3. Let u be m(q). Find the first derivative of 7 - 10*n**2 + 14*n**2 - u wrt n. 8*n Let s(r) be the third derivative of -r**7/30 + r**5/10 + 18*r**2. Find the third derivative of s(q) wrt q. -168*q Let z(h) = -h**4 + 4*h**2 + 18*h - 4. Let i(n) = 5*n**2 + 19*n - 5. Let r(g) = 4*i(g) - 5*z(g). Find the second derivative of r(q) wrt q. 60*q**2 Let u(k) be the second derivative of -13*k**6/30 + 5*k**3/6 + 8*k. What is the second derivative of u(f) wrt f? -156*f**2 Let z be 99/36 - 6/8. Let f(u) be the first derivative of 0*u**3 + 2 + 0*u**4 - 3*u + 0*u**z + 4/5*u**5. Differentiate f(i) wrt i. 16*i**3 Let g(o) be the third derivative of -o**8/336 - o**5/15 + 61*o**4/24 + 4*o**2 + 3. What is the second derivative of g(x) wrt x? -20*x**3 - 8 Let g(y) be the second derivative of -y**4/24 + y**3/3 - y**2/2 - 4*y. Let m(c) be the first derivative of g(c). Differentiate m(d) with respect to d. -1 What is the second derivative of 19*n - 18*n**3 + 26*n**3 - 8*n wrt n? 48*n Let f(s) = -s - 3. Suppose -15 = 6*y - y. Let m be f(y). What is the derivative of 0 - 1 + m - 3*z - 1 wrt z? -3 Let t(n) = n**2 - 6*n - 5. Let a be t(7). Find the third derivative of 2 - 2 - 2*d**a + 2*d**6 wrt d. 240*d**3 Let o = 8 + -9. Let t = 3 + o. Let c(k) = -9*k**3 - k**2. Let a(x) = -4*x**3 - x**2. Let d(r) = t*c(r) - 5*a(r). What is the third derivative of d(v) wrt v? 12 Let b be (-2 - 5)/(0 + -1). Suppose 4*z - b = 5*m, 2 = -m + 3*z - 2*z. Differentiate -m - 1 + 6 - 3*q - 1 wrt q. -3 What is the third derivative of 2*r**5 + r**5 - r**5 - r**2 wrt r? 120*r**2 What is the second derivative of -18*l**2 - 12*l**2 + 11*l + 14*l**2 wrt l? -32 Let r(x) be the second derivative of -2*x**4/3 - 5*x**2/2 + 6*x. Find the first derivative of r(l) wrt l. -16*l Suppose -2*k + 4 + 2 = 0, 3*k = 5*n - 11. Suppose r + 4*x = 18, r - n*x + 20 = 3*r. Find the third derivative of 0*m**3 + 2*m**5 + r*m**2 + 0*m**3 wrt m. 120*m**2 Let n(u) = 3*u**4 - u**2 + 4. Let k(o) = -5*o**4 + 3*o**2 - 9. Let f(d) = -4*k(d) - 9*n(d). Find the third derivative of f(t) wrt t. -168*t Let t(c) be the second derivative of 5*c**4/12 + 4*c**2 + 12*c. What is the first derivative of t(u) wrt u? 10*u Let b(y) = y**4 + 5*y**3 - 5*y + 7. Let f(k) = 6*k**3 - 6*k + 8. Let i be (-8)/(-2)*6/4. Let j(m) = i*b(m) - 5*f(m). What is the derivative of j(c) wrt c? 24*c**3 Let h(p) = p + 2. Let c be h(2). Find the second derivative of 5*l - 1 - l + c*l**5 + 1 wrt l. 80*l**3 Suppose 0 = 2*i - 7 + 1, 5*v - 3*i = 1. Suppose l - 12 = -3*l. What is the first derivative of 0 - y + 3*y**l + y + v wrt y? 9*y**2 Let b(s) = 2*s**2 - s. Let w(q) = -10*q**2 + 4*q. Let o = -2 + 5. Let x(p) = o*w(p) + 14*b(p). What is the second derivative of x(g) wrt g? -4 Find the second derivative of -13*b + 3*b**2 - 3*b**2 - 28*b**3 + 19*b wrt b. -168*b Let j = -8 + 12. What is the second derivative of 2*u + u - 2*u - j*u + 2*u**3 wrt u? 12*u Let w = -160 - -481/3. Let c(n) be the second derivative of w*n**4 + 0 + 3*n + 1/3*n**3 + 0*n*
{ "pile_set_name": "DM Mathematics" }
is the remainder when o(-5) is divided by s? 13 Suppose 3*w - 3*q = 84, -2*q = -3*w - w + 102. Suppose 45*l - 990 = w*l. Calculate the remainder when 717 is divided by l. 42 Let x(p) = -p**2 - 6*p + 16. Let k be x(-8). Suppose k = 3*n - 0*n - 15, 24 = 2*f - 4*n. Calculate the remainder when 439 is divided by f. 21 Let v be -4*(-6)/(-3) - 12/3. Calculate the remainder when 23 is divided by (3*(-8)/(-24))/((-1)/v). 11 Let f = -141 - -144. Suppose m - 36 = f*s, -65 = -3*m - s + 3. Calculate the remainder when 90 is divided by m. 18 Suppose 3*n = -4*r - 0*n + 228, -n = r - 58. Suppose -w = -7 - 5. What is the remainder when (-43)/(r/(-6) - -8) is divided by w? 7 Calculate the remainder when 258 is divided by (-1 - ((-6)/(-2) + (-200)/80))*-54. 15 Suppose 131*u - 6572 + 1856 = 0. Calculate the remainder when 611 is divided by u. 35 Let f = 2 + 3. Let y(v) = -v**2 + 7*v + 1. Calculate the remainder when 43142/220 + ((-4)/40)/1 is divided by y(f). 9 What is the remainder when 210 is divided by (6 - (-192)/(-40))/(12/220)? 12 Let d(s) be the second derivative of 1/6*s**3 + 13*s**2 + 0 - 1/12*s**4 - 17*s. What is the remainder when 22 is divided by d(5)? 4 Let g(n) = 2*n + 37. Suppose -21*t = -18*t + 12. Let l(k) = 3*k**2 + 12*k - 9. Let c be l(t). Calculate the remainder when 30 is divided by g(c). 11 Suppose 15*q + 6*q - 1384 = 17*q. What is the remainder when q is divided by 175? 171 Suppose 3*l = 2*s + 18, l + 4*l + 5*s = 5. Let m be 108/l - (-1 + 4/1). What is the remainder when (-3)/15 - m/(-20) - -15 is divided by 5? 1 Let s(n) = -3*n**2 + 102*n - 781. What is the remainder when 6790 is divided by s(17)? 82 Let r be ((36/5)/4)/(15/50). Suppose -4*o = -4*b - r*o + 148, 5*o = 10. Calculate the remainder when 49 is divided by b. 13 Let o = 2766 - 2678. What is the remainder when o is divided by 10? 8 Let d(v) = -3*v**3 - 59*v**2 - 3*v - 87. Let c(s) = -s**3 - 20*s**2 - s - 29. Let w(o) = -7*c(o) + 2*d(o). Calculate the remainder when 16 is divided by w(-22). 2 Let y(b) = 17*b**2 + 2. Let t be y(2). Suppose -4*q = q - t. Suppose 260 = -10*g + 670. Calculate the remainder when g is divided by q. 13 Let v(q) = -492*q + 46766. Calculate the remainder when 0 + (-1)/1 + 66 is divided by v(95). 13 Let c = 236 - 232. Calculate the remainder when 112 is divided by ((-476)/112)/(7/c - 2). 10 Let l(d) = 2 - 6*d**2 + 1 - 3*d + 3 - d**3. Calculate the remainder when -1861 + 1904 - 0/(-2) is divided by l(-6). 19 Suppose 218*w - 4*w + 3008 - 25692 = 0. What is the remainder when 1185 is divided by w? 19 Let o(b) = 2*b**3 - 9*b**2 - 7*b - 17. Let s be o(7). Let w = 189 - s. Calculate the remainder when 29 is divided by w. 9 Suppose 0 = -52*u - 128*u + 113940. What is the remainder when u is divided by 20? 13 Let y(c) = 11*c**2 + 29*c + 62. Let g be y(-2). Suppose -h - 2*h = 5*s - g, 5*s - 68 = 2*h. Let t = 5 + -3. What is the remainder when s is divided by t? 0 Let f(l) = 3*l**2 - 10. Let s(i) = 3*i**3 - 25*i**2 - 17*i + 6. Calculate the remainder when f(7) is divided by s(9). 2 Suppose -z = -2*z + 4, 2*c = 3*z + 822. Suppose -5*p = -c + 402. Suppose 12 = l + 3*l. Calculate the remainder when p is divided by l. 0 Let j(l) = 37*l**2 - 187*l - 760. What is the remainder when j(-4) is divided by 28? 20 Let d(l) be the third derivative of -l**6/120 + 11*l**5/30 - 17*l**4/24 - 10*l**3/3 - 201*l**2. What is the remainder when d(21) is divided by 10? 4 Suppose 0 = o + 5*n - 1245, -7*n + 4*n = 15. Calculate the remainder when o is divided by 213. 205 Suppose 25*i + 3*i = 56. What is the remainder when 88 is divided by i? 0 Let r be 366/10 + 4/10. Suppose 2*n = 2*a + 38, 8*n + 3*a = 6*n + 63. Suppose m = r - n. Calculate the remainder when 37 is divided by m. 11 Let g = 19612 + -19578. What is the remainder when 325 is divided by g? 19 Let a(p) be the second derivative of 9*p**5/5 - 59*p. What is the remainder when a(1) is divided by 8? 4 Suppose -3*q = -13*y + 2494, -128 = -2*y - q + 244. Calculate the remainder when 213 is divided by y. 23 Let w = 367 + -310. Suppose -816 + w = -11*k. Let l = -19 - -33. Calculate the remainder when k is divided by l. 13 Let a(n) = n**3 - 24*n**2 + 25*n - 19. Let u = 12 - 17. Calculate the remainder when u/((-100)/2648) - 3/(-5) is divided by a(23). 25 Let v(n) = 60*n**2 + n + 1. Suppose -2 = -2*l + 10. Let p = 27 - l. What is the remainder when v(-1) is divided by p? 18 Let d(f) = -f**3 + 6*f**2 + 4*f + 4. Suppose 5*v = -2*u + 77, 11 = 4*v - u - 48. Calculate the remainder when d(6) is divided by v. 13 Let d(k) = 3*k**2 - 8*k + 13. Let j be d(-5). Suppose -3*t + 5*o = -60, 0 = -4*t + o - 31 + j. Calculate the remainder when 169 is divided by t. 19 Let a = 6 - -9. Let l = 14 + -10. What is the remainder when a is divided by (-6)/((-2)/(l/3))? 3 Let q = -27 + 147. Let p = 131 - q. What is the remainder when p is divided by 5? 1 Suppose -24*b = -21*b - 3. Calculate the remainder when -179*5/(-30) - b/(-6) is divided by 4. 2 Suppose -11*n = 35 - 13. Calculate the remainder when (124/(-155))/(n/110) is divided by 12. 8 Let w be (-120)/(-160) + 498/8. Let y = -62 + w. Let v(s) = -s**2 - 6*s - 4. What is the remainder when v(-5) is divided by y? 0 Suppose 6202 = 2*v + 3*t, -t + 15518 = -11*v + 16*v. What is the remainder when v is divided by 12? 8 Suppose -b + 64 = -2*m, 616*m + 197 = 3*b + 611*m. Suppose -2*p + 4 = -28. What is the remainder when b is divided by p? 10 Suppose -5*y + 1942 = -2*d, -y - 7*d - 150 + 494 = 0. Calculate the remainder when y is divided by 299. 87 Let h = -11211 + 13580. Calculate the remainder when h is divided by 31. 13 Suppose 0 = -35*p + 39*p - 32. Suppose p*v = 416 + 88. Let t = -5 - -27. Calculate the remainder when v is divided by t. 19 Suppose 5*o + 2*i - 541 = 0, 5*o - 2*i = 440 + 89. Suppose j - 3*s - 102 = -4*s, -108 = -j + 2*s. Let w = o - j. What is the remainder when 20 is divided by w? 2 Let m = 17 + 6. What is the remainder when m is divided by (-7)/(-14)*-16 + 11? 2 Let u(x) = 3*x + 73. Let t be (-4)/(-12) + 29/3. Calculate the remainder when u(t) is divided by 13. 12 Let w(z) = -2*z**2 + 21*z - 12. Let j(a) = -a**2 + 10*a - 5. Let k(d) = -5*j(d) + 2*w(d). What is the remainder when k(12) is divided by 14? 7 Suppose -g - 2*z - 144 = 2*z, 4*g + 576 = 5*z. Let q = g + 201. Calculate the remainder when q is divided by 12. 9 What is the remainder when 4048 is divided by ((-6)/57)/((-2)/344) + 14/(-133)? 16 Let m be ((-1)/2)/((-4)/(-240)). Let j = -1927 + 1941. What is the remainder when j is divided by ((-6)/4)/(m/140)? 0 Let n(a) = -a**3 + a**2 + a. Let g(h) = 5*h**3 - 14*h**2 - 20*h + 24. Let p(l) = -g(l) - 4*n(l). What is the remainder when 308 is divided by p(11)? 29 Suppose -221 + 338 = 3*y - 5*x, 4*y + 3*x - 98 = 0. What is the remainder when 1187 is divided by y? 27 Let k(v) = -v**3 - 15*v**2 - 13*v + 4. Let a be k(-14). Let z be (44/a)/((-2)/(-20)). Let n = 159 + z. What is the remainder when n is divided by 39? 37 Suppose -2*l + 5 = g, 2*g + 13 = 3. Suppose l*a = 2*b + 120, -5*a + 118 + 2 = 2*b. Calculate the remainder when 430 is divided by a. 22 Calculate the remainder when ((-11134)/(-76))/(3/6) is divided by 13. 7 Let p be (-15950)/(-87)*(24/10)/2. Let w = p + -184. Calculate the remainder when 212 is divided by w. 32 Let q(a) = -a + 5. Let i be q(7). Let g be 7/(3/i*(-10)/225). Suppose 171 = 4*k + 5*r, -g - 111 = -4*k + 4*r. Calculate the remainder when k is divided by 17. 15 Suppose -10*y + 5*y - 733 = -f, -721 = -f - y. Let d = -586 + f. What is the remainder when d is divided by 71? 66 Let g = -12051 - -13890. Calculate the remainder when g is divided by 611. 6 Suppose -2*f = -3*o - 8, -2*f - 33*o + 29*o = -22. Suppose -382 = -4*n + 3*u, -2*n - 2*n - 4*u + 396 = 0. Calculate the remainder when n is divided by f. 6 Let w(a) = -10*a - 92. Let y be w(-26). Suppose 12*m - y = -2*m. Calculate the remainder when 141 is divided by m. 9 Suppose -29 + 6 = w - 5*j, -4*j + 30 = 5*w. Calculate the remainder when w + -10 - (24 - 71) is divided by 6. 3 Suppose -23*m - 31*m = -0*m - 35316. Calculate the remainder when m is divided by 79. 22 Calculate the remainder when 1374 is divided by 4/22 - (0 + (-1170)/99). 6 Suppose 52*a + 3*h = 57*a - 4083, -4*a - 3*h + 3288 = 0. Calculate the remainder whe
{ "pile_set_name": "DM Mathematics" }
(y/6) is divided by n. 3 Let t = -4 + -4. Let v = 28 - 15. Calculate the remainder when v is divided by (t + 1)*(0 - 1). 6 Let x(t) = -5*t - 1. Let h be x(-1). Suppose -3*w - 3*m - 78 = 0, -2*w = -6*w + h*m - 120. What is the remainder when 0 - 1 - w/4 is divided by 4? 2 Suppose -25*r = -28*r + 54. Suppose 0 = -2*x - 1 + 105. Calculate the remainder when x is divided by r. 16 Let f be 2/9 - 16/(-9). Let a = f - -11. Let r(t) = t**2. What is the remainder when r(-7) is divided by a? 10 Let s(b) = -5*b**3 + b**3 - 10*b - 4 + 5*b**3 + 7*b**2. What is the remainder when s(-8) is divided by 5? 2 Let p = -8 + 23. What is the remainder when 59 is divided by p? 14 Suppose 3*i + 3 = 57. What is the remainder when i is divided by 10? 8 Suppose r = 4*r - 96. Suppose 4*j = -4*v + 112 - r, v - 3*j = 12. Calculate the remainder when 34 is divided by v. 16 Suppose 0*i - 3*f + 180 = 4*i, -5*i - 5*f + 225 = 0. Suppose 5*t = t - 3*b - 4, 4*b = -5*t - 4. What is the remainder when i is divided by t*3/(-6) - -10? 9 Let p = 25 - 11. Calculate the remainder when p is divided by 8. 6 Let o = 5 + 2. Let a = 17 - 4. What is the remainder when a is divided by o? 6 Suppose 2*s - s + 7 = b, -20 = -5*s. Let g(k) = -k + 20. What is the remainder when g(0) is divided by b? 9 Suppose -21*h = -12*h - 261. Calculate the remainder when 85 is divided by h. 27 Let a be -6 - -2*(-1)/(-2). Let m(j) = -j**2 - 8*j + 6. Let w be m(a). Suppose 0 = b - w + 3. Calculate the remainder when 52 is divided by b. 16 Let f(z) = z**2 + 7*z + 6. Let m be f(-7). Suppose j - m = -2. Let w(b) = 4*b**2 - 4*b - 4. Calculate the remainder when w(j) is divided by 15. 14 Suppose -4 = 4*z, -f + 10*z + 20 = 5*z. What is the remainder when 71 is divided by f? 11 Let j = 6 + -12. Let b = j - -8. What is the remainder when b is divided by 1? 0 Let f be (-4 - 12) + (1 - 0). Let o = -1 - f. Calculate the remainder when o is divided by 8. 6 Suppose -2*h + 50 = 2*w, -3*h + 103 = 4*w - 0*w. Calculate the remainder when w is divided by 15. 13 Let u(p) = p + 8. Let s be u(-8). What is the remainder when (s + 13/3)*21 is divided by 23? 22 Let k be (-404 + 2)*1/(-3). Let p = k + -93. What is the remainder when p is divided by 14? 13 Calculate the remainder when (-134)/(-10) - 2/5 is divided by -7 + 9 - -5*1. 6 Let b be (-4)/(-6)*24/4. Suppose -5*u + b*k + 316 = -0*k, u - 3*k = 61. Calculate the remainder when u is divided by 22. 20 Suppose -2*u + u = -60. Calculate the remainder when u is divided by 21. 18 Suppose 0 = -4*b + 174 + 54. Calculate the remainder when b is divided by ((-27)/(-36))/(1/20). 12 Let w(p) = -2*p - 3. Let f be w(-5). Calculate the remainder when (-1525)/(-35) - (-3)/f is divided by 23. 21 Let u(l) be the second derivative of 2*l**3/3 + l. Let i = 10 - 5. Calculate the remainder when u(i) is divided by 11. 9 Let u = 51 + -40. What is the remainder when 21 is divided by u? 10 Let f = -40 - -153. Let q = f + -32. Calculate the remainder when q is divided by 28. 25 Calculate the remainder when 14 is divided by (-44)/(-6) + 4/6. 6 Let h be ((-705)/10)/((-2)/4). Suppose -4*n = -u + 83, 2*u - 4*n = h + 5. What is the remainder when u is divided by 16? 15 Suppose 2*q = -4 + 6, -4*u - 4*q + 76 = 0. What is the remainder when 28 is divided by u? 10 Let b(d) = -d**2 - 9*d + 13. What is the remainder when b(-9) is divided by 7? 6 Let i(d) = 11*d + 58. What is the remainder when (1*3)/(9/24) is divided by i(-5)? 2 Suppose s + 4 = 27. Suppose 2*r + 32 = 6*r. Calculate the remainder when s is divided by r. 7 Suppose 49 = 4*n - o - 90, 0 = -o + 1. Suppose -2 = 4*v - 38. Calculate the remainder when n is divided by v. 8 Suppose 2*p = -0*p + 256. What is the remainder when p is divided by 43? 42 Let v(f) = -f + 3. Let a be v(4). Let g = a + 11. What is the remainder when 39 is divided by g? 9 Suppose 0*q - q - 86 = 0. Let v = -58 - q. What is the remainder when v is divided by 15? 13 Let y(h) = h**2 - 3*h + 7. Let v be y(-5). Suppose -c = n - 0*c + v, -5*c = -n - 35. Let t = n + 81. What is the remainder when t is divided by 19? 17 Let n = 2 - -5. Calculate the remainder when 49/4 - 3/12 is divided by n. 5 Suppose -2*u + 3 = -5. Let s = -1 - -14. Calculate the remainder when s is divided by u. 1 Let s(n) = 2*n + 1. Let x be ((2 - 1)*0)/1. Suppose -3*i + 41 = 2*i + k, -i - k + 9 = x. Calculate the remainder when i is divided by s(1). 2 Suppose -2*t + 12 = -o + 32, 4*t - 2 = -o. What is the remainder when 39 is divided by o? 11 Suppose 0 = -2*x + 15 + 11. Let z(n) = n**3 + 3*n**2 - 2*n + 4. Let l be z(-4). Let a = 3 - l. Calculate the remainder when x is divided by a. 6 Suppose 5*y = 5*z + 2*y - 282, 228 = 4*z - 3*y. Suppose r = 4*r - z. What is the remainder when 53 is divided by r? 17 Calculate the remainder when 46 is divided by (-10)/(-25) + 116/10. 10 Let b(r) = -2*r**3 + 9*r**2 - 3*r + 10. Calculate the remainder when b(4) is divided by 5. 4 Calculate the remainder when -1*(0 - (-105)/(-3)) is divided by 8. 3 Suppose -2*z + 7*r = 4*r - 24, 0 = 2*z + 5*r - 24. Let s(j) = j**3 + j**2 + 7. Calculate the remainder when z is divided by s(0). 5 Let q = -28 + 75. What is the remainder when q is divided by 17? 13 What is the remainder when 10 is divided by (-12)/(4*-2 + 3 - -3)? 4 Suppose 0 = 4*y - 187 - 289. What is the remainder when y is divided by 30? 29 Let c(x) = 109*x**3 + 2*x**2 - 2*x + 1. Let n be c(1). Suppose -g = 0, -3*v + 3*g + n = 2*v. Let q = v - 9. What is the remainder when 23 is divided by q? 10 Let p = -12 - -17. Suppose -x + 3 = -1. Suppose -z - 2*h + 90 = x*z, 54 = 3*z + p*h. Calculate the remainder when z is divided by 10. 8 Let y(b) = 5*b - 37. Calculate the remainder when y(16) is divided by 17. 9 Let w = 119 + -107. What is the remainder when 272/6 - (-6)/9 is divided by w? 10 Suppose 3*j + 4*o - 65 - 28 = 0, j - 36 = -3*o. Calculate the remainder when 104 is divided by j. 23 Let h(d) = -d**3 - 9*d**2 - 10*d - 2. Suppose 0 = -s + 2, -4 - 52 = -2*p - 3*s. Calculate the remainder when p is divided by h(-8). 11 Let u(h) = 52*h**2 - 1. Let o be u(1). Let f = -27 + o. Let i = 12 - -1. Calculate the remainder when f is divided by i. 11 Suppose -r = -3*r - 28. Let c = 30 + r. Calculate the remainder when 47 is divided by c. 15 Let n(u) = -3*u - 1. Let o be 2/(3 - -1)*12. Let r = 7 - o. What is the remainder when n(-1) is divided by r? 0 Let o(p) = -52*p**3 - p - 1. Let c be o(-1). Let d = c + -29. Let q(y) = y**2 + 11*y. Calculate the remainder when d is divided by q(-12). 11 Suppose 2*l = 2*u + 22, -u + 17 = 2*l - 8. Calculate the remainder when 21 is divided by l. 9 Let n(v) = -2*v**3 - 3*v**2 + 2*v + 5. Calculate the remainder when n(-3) is divided by 7. 5 Calculate the remainder when 33/(1/2 - -1) is divided by (-6)/18 - 100/(-12). 6 Suppose 0 = -4*x + 298 - 22. What is the remainder when x is divided by 8? 5 Let v(u) = -u**3 - u**2 + 1. Let f be v(0). What is the remainder when (0 + 2)/(f/11) is divided by 12? 10 Suppose -4*m - 5*s = -23, -6 + 0 = -2*s. Suppose 0 = 5*c - 4*c - m*l - 110, -2*l = -3*c + 338. Calculate the remainder when c is divided by 29. 27 Let v(h) = -3*h + 10 + 4*h - 2. Calculate the remainder when v(-7) is divided by 1. 0 Let y = 12 + -12. Suppose -4*k + y*k + 3*z + 18 = 0, -k + z = -4. Calculate the remainder when k is divided by 4. 2 Let d = -28 + 37. Calculate the remainder when 16 is divided by d. 7 Let x(n) = 12*n**2 - 2*n - 2. What is the remainder when x(-3) is divided by 19? 17 Let w(l) = 19*l + 1. Calculate the remainder when w(4) is divided by 20. 17 Let j = 1 - 1. Suppose j = -3*a + 4*x + 73, -5*x = 2*a - 0 - 18. What is the remainder when (-1)/((-2)/(-5))*-22 is divided by a? 17 Suppose -32 = -6*x - 2. Suppose -3*c - 90 = -8*c. Calculate the remainder when c is divided by x. 3 Let b = -8 - -7. Calculate the remainder when 27 is divided by b - (-15)/(1/1). 13 Let u(b) = b**3 + 7*b**2 + 5*b + 6. Calculate the remainder when 47 is divided by u(-6). 11 Suppose 4*v = 4*u + 12, -u - 3*u - 8 = -3*v. Let w be (32/(-2))/((-3)/(-6)). What is the remainder when w/(-6) - 2/(-3) is divided by v? 2 Let p = 8 - 4. What is the remainder when 12 is divided by p? 0 Suppose -6 = f - 3*l - 2, 4*f = 3*l + 11. Let m = 0 - 1. Calculate the remainder when m + 4/(-2) - -17 is divid
{ "pile_set_name": "DM Mathematics" }
hree letters picked without replacement from hhjfhhjjfjjfjjjj. What is prob of sequence hhf? 3/280 What is prob of sequence tzo when three letters picked without replacement from {o: 1, t: 8, z: 2, i: 4, l: 4}? 8/2907 Three letters picked without replacement from {k: 1, p: 2}. What is prob of sequence kpp? 1/3 What is prob of sequence uqqm when four letters picked without replacement from {u: 1, m: 1, q: 2}? 1/12 Three letters picked without replacement from ztnannbbbznabtnnzznn. What is prob of sequence bzz? 2/285 Two letters picked without replacement from {s: 2, v: 4, o: 2, b: 5, x: 1, h: 1}. Give prob of sequence oo. 1/105 Calculate prob of sequence yzd when three letters picked without replacement from {d: 2, y: 8, z: 4, p: 5}. 32/2907 Two letters picked without replacement from {g: 1, d: 2, r: 1, b: 3}. Give prob of sequence db. 1/7 Three letters picked without replacement from nfiysmn. What is prob of sequence yis? 1/210 Calculate prob of sequence pwzp when four letters picked without replacement from pkpzkwwzzwzw. 4/1485 What is prob of sequence sss when three letters picked without replacement from {s: 3}? 1 Two letters picked without replacement from pprrrrrrrrprrr. Give prob of sequence pr. 33/182 Four letters picked without replacement from ccssjcczzchshfzhs. What is prob of sequence sjhf? 1/4760 Three letters picked without replacement from pepjhpeeepfhennhehne. Give prob of sequence hep. 14/855 Two letters picked without replacement from kfkkofokkfoookcfkck. Give prob of sequence cc. 1/171 Calculate prob of sequence mr when two letters picked without replacement from vvrlrvvvvmvrvlmv. 1/40 Two letters picked without replacement from {o: 6, j: 1, u: 1, n: 1, g: 3, s: 1}. What is prob of sequence os? 1/26 Calculate prob of sequence zzz when three letters picked without replacement from zzzzz. 1 Calculate prob of sequence xex when three letters picked without replacement from {x: 2, y: 2, e: 1}. 1/30 Two letters picked without replacement from {k: 1, g: 1, e: 2, b: 2}. Give prob of sequence ee. 1/15 Two letters picked without replacement from ffssfsufvf. Give prob of sequence fu. 1/18 Two letters picked without replacement from iiiuiviuvivuiuvvvuiv. Give prob of sequence vu. 7/76 Calculate prob of sequence bjf when three letters picked without replacement from babajzfbbj. 1/90 Calculate prob of sequence wnkw when four letters picked without replacement from {w: 2, n: 4, l: 2, k: 3}. 1/330 Two letters picked without replacement from {u: 3}. Give prob of sequence uu. 1 Two letters picked without replacement from {a: 1, f: 1, r: 1, l: 2, u: 11}. What is prob of sequence lr? 1/120 Four letters picked without replacement from {n: 2, u: 6}. Give prob of sequence uunn. 1/28 Two letters picked without replacement from jhdey. What is prob of sequence hd? 1/20 What is prob of sequence ngeh when four letters picked without replacement from {e: 1, h: 3, n: 4, m: 4, g: 1}? 1/1430 Four letters picked without replacement from {a: 2, d: 4, w: 1, i: 3}. What is prob of sequence iaiw? 1/420 Calculate prob of sequence gui when three letters picked without replacement from {m: 3, u: 4, i: 6, g: 1, v: 2}. 1/140 What is prob of sequence kfl when three letters picked without replacement from kffkfklkl? 1/21 Three letters picked without replacement from {t: 3, f: 2, a: 7}. Give prob of sequence fta. 7/220 What is prob of sequence oq when two letters picked without replacement from {q: 7, o: 1}? 1/8 Calculate prob of sequence eed when three letters picked without replacement from {a: 4, d: 1, e: 5}. 1/36 Four letters picked without replacement from {h: 1, k: 1, m: 1, x: 1, b: 1}. What is prob of sequence mkbh? 1/120 What is prob of sequence ccyc when four letters picked without replacement from occoootttcyyoooot? 1/4760 Calculate prob of sequence ftf when three letters picked without replacement from {f: 8, t: 7, k: 4, l: 1}. 49/855 Two letters picked without replacement from znrnznnrrrrrn. Give prob of sequence zz. 1/78 Three letters picked without replacement from {o: 5, x: 11}. What is prob of sequence oxo? 11/168 Three letters picked without replacement from {n: 2, l: 2, d: 2, y: 8, h: 2}. What is prob of sequence hld? 1/420 Calculate prob of sequence qv when two letters picked without replacement from vqvdcdmjcddvqjv. 4/105 Two letters picked without replacement from {n: 1, d: 2}. Give prob of sequence dn. 1/3 Three letters picked without replacement from yykyyycycyyyycy. What is prob of sequence ycy? 11/91 Calculate prob of sequence llle when four letters picked without replacement from {e: 2, l: 7}. 5/36 What is prob of sequence oo when two letters picked without replacement from {o: 18, w: 2}? 153/190 Four letters picked without replacement from {v: 2, a: 6}. What is prob of sequence aava? 1/7 What is prob of sequence vau when three letters picked without replacement from liivluiavll? 1/495 What is prob of sequence npnn when four letters picked without replacement from npffnnnhpp? 1/70 Two letters picked without replacement from {s: 3, r: 4}. Give prob of sequence rs. 2/7 Three letters picked without replacement from {y: 7, w: 2, n: 1, r: 2}. What is prob of sequence wnw? 1/660 Three letters picked without replacement from {w: 4, a: 1, k: 3, o: 3}. Give prob of sequence awo. 2/165 Three letters picked without replacement from {a: 1, u: 2, l: 2, s: 1, w: 2, m: 1}. What is prob of sequence mws? 1/252 Three letters picked without replacement from yyzzz. Give prob of sequence yzz. 1/5 What is prob of sequence vr when two letters picked without replacement from rrrrirrrrirrvvrrvr? 13/102 Three letters picked without replacement from cggcgc. What is prob of sequence ccg? 3/20 Four letters picked without replacement from tttttttttt. What is prob of sequence tttt? 1 Calculate prob of sequence ft when two letters picked without replacement from pttztfzattzatftzpptz. 4/95 Calculate prob of sequence gu when two letters picked without replacement from vvuqggv. 1/21 Four letters picked without replacement from yyyyyoyy. Give prob of sequence yyyy. 1/2 Calculate prob of sequence zxno when four letters picked without replacement from znxioonioi. 1/840 Two letters picked without replacement from jkkkjxxbujjbukkkk. Give prob of sequence kb. 7/136 Two letters picked without replacement from nnllnvllnlnennnlvn. What is prob of sequence ve? 1/153 Calculate prob of sequence qf when two letters picked without replacement from {f: 7, q: 1}. 1/8 Calculate prob of sequence ttx when three letters picked without replacement from {t: 4, y: 3, i: 1, d: 1, x: 4}. 4/143 Four letters picked without replacement from bbbxbbxxbxxbbubu. What is prob of sequence ubxb? 3/182 What is prob of sequence pp when two letters picked without replacement from {p: 2, g: 4, z: 3, c: 2}? 1/55 What is prob of sequence zyz when three letters picked without replacement from cvyycvczcyyyzzc? 1/91 Two letters picked without replacement from unnubvxxxutv. What is prob of sequence bu? 1/44 Four letters picked without replacement from bbbbbbbbbbbbbbl. Give prob of sequence bbbb. 11/15 Three letters picked without replacement from gxxxxxgxxx. What is prob of sequence xgx? 7/45 Calculate prob of sequence cat when three letters picked without replacement from {c: 1, f: 3, a: 4, t: 2}. 1/90 What is prob of sequence aapd when four letters picked without replacement from {l: 1, p: 1, a: 2, j: 2, d: 1}? 1/420 Three letters picked without replacement from tttvtttttttttttvttt. What is prob of sequence ttv? 16/171 Two letters picked without replacement from bbbxxbxxbbbbxb. Give prob of sequence xx. 10/91 What is prob of sequence kxx when three letters picked without replacement from xkxkxkxxkx? 1/6 What is prob of sequence faf when three letters picked without replacement from {f: 2, k: 5, a: 3}? 1/120 Three letters picked without replacement from {w: 15, y: 3}. Give prob of sequence yyw. 5/272 Two letters picked without replacement from wdwdadwdd. Give prob of sequence aw. 1/24 What is prob of sequence iii when three letters picked without replacement from {i: 6}? 1 Three letters picked without replacement from {z: 4, k: 7, s: 7}. Give prob of sequence skz. 49/1224 Two letters picked without replacement from a
{ "pile_set_name": "DM Mathematics" }
m = -34 - -21. Let g = -8 - m. Solve 2*k - g*k + 12 = 0 for k. 4 Let p be 8/2 - -2 - 2. Suppose -4*a + 77 = -87. Suppose 14 = p*v + u - a, 5*u + 10 = -v. Solve 3*q + v = -0*q for q. -5 Let i(s) = s**2 + 6*s + 5. Let l be i(-6). Suppose t - 11 = 3*g - 0*g, -g - l = -t. Solve t - 1 = n for n. 1 Suppose -3*d + c + 6 = -0*d, -15 = -5*c. Suppose -d*o = o - 24. Solve -g + o - 2 = 0 for g. 4 Suppose 4*p + 4 = 4*j, -4*p + 0*p = j - 6. Suppose -3*a - j*a + 52 = -2*l, -4*a + 2*l = -40. Solve t - a = 4*t for t. -4 Let w be (-12)/15*5/(-2). Solve -4 + 6 = -w*f for f. -1 Let l be 3/(-6)*-2 - -1. Suppose 0 = l*q - 8. Solve -1 = 5*h + q for h. -1 Suppose 5*i - 6 - 1 = 4*n, 4*i = -3*n + 18. Solve 2 = -a - i for a. -5 Suppose -s - 2 + 3 = 0. Suppose -19 - s = -2*w. Let a be 6*1/((-3)/(-2)). Solve w = z + a*z for z. 2 Let u be (-27 - -1)*(-1)/(-2). Let f = 15 + u. Solve -f = -k + 2 for k. 4 Suppose 0 = -4*b + 50 - 38. Suppose -4*f + 7 = 4*q - 1, 0 = -2*q + 2*f - 4. Solve 0 = -q*a - b*a + 12 for a. 4 Let v(n) = n**3 + 2*n**2 - 4*n - 3. Let y be (-6)/(-5 - -3) + -6. Let g be v(y). Solve g = -b - 3*b - 4 for b. -1 Let a(z) = 4*z**2 + 3*z + 2. Let y be a(-1). Suppose y*o - 5 - 10 = 0. Solve 0 = -2*b - o - 1 for b. -3 Let c(h) = -h - 12. Let t be c(0). Let y be ((-6)/8)/(3/t). Solve 4 + 5 = -y*x for x. -3 Suppose 3*l = 33 - 9. Let c = -3 + l. Suppose -2*w + 1 = -c. Solve 0 = w*f - 0 + 3 for f. -1 Let m(u) = u**3 - u**2. Let j be m(0). Suppose j = -2*f + 2 + 2. Solve -f*x - 10 = -7*x for x. 2 Suppose -y = 11*y - 2*y. Solve 0*j + 5*j + 10 = y for j. -2 Let a(z) = z**3 - 6*z**2 - 3*z + 11. Let m be a(6). Let x be -1*m/(14/8). Solve x*q + 10 = -10 for q. -5 Let h(v) = -v**2 - 12*v + 5. Let o = 0 + -12. Let n be h(o). Solve 11 = -n*m - 4 for m. -3 Let o = -3 - -5. Suppose p + 8 = 3*p. Suppose 5*r + 2*u - p = -o, -5*u - 20 = 0. Solve s - 5 = -r for s. 3 Let u be 1/1*0/7. Let z = 4 - u. Solve -z = h - 0*h for h. -4 Let q be (0 + -1 - 0) + 4. Suppose 2*g = 2*n + g + 35, 3*n = -4*g - 25. Let k = -15 - n. Solve -q = 3*p - k*p for p. -1 Let f be 1 - -1 - (-4 - -1). Let w = -9 + 19. Solve -f*k = -0 - w for k. 2 Let r = -42 - -45. Solve -3 = -2*w + r*w for w. -3 Let t(a) = -a - 3. Let u(s) = -s**2 + 6*s. Let i be u(7). Let n be t(i). Solve -4*l + 4 + n = 0 for l. 2 Let l be (2 - -12) + (0 - 3 - 1). Solve 0 = l*x - 13*x - 6 for x. -2 Suppose -3*s = -6*s. Let r be (2 + s)*3 - 1. Solve r + 0 = -v for v. -5 Suppose 6 = 5*m - 3*m. Suppose 2*s - 6 = 0, -m*s + 5 = x - 9. Solve -6 = -2*i + x*i for i. -2 Suppose -b + y - 9 = -2*y, 0 = -5*y + 25. Let d be (b/(-2))/(1 + 0). Let r = -3 - d. Solve -l + 0*l + 4 = r for l. 4 Let x(q) = -q**2 + 5*q - 3. Let v be 2/10 + (-2)/10. Suppose v*a + a + 22 = 5*z, -5*a - z + 20 = 0. Let f be x(a). Solve -3*c = -f - 0 for c. 1 Let j = -19 - -9. Let r be (-15)/j - 6/(-4). Solve -r*f + 0 + 12 = 0 for f. 4 Let x = 24 - 21. Solve -1 = -x*a + 2 for a. 1 Let c = 120 - 117. Solve c*q - 1 = 11 for q. 4 Let v = 188 - 188. Solve v*g = -4*g + 16 for g. 4 Suppose 2*r = -3*r - 110. Let s = 34 + r. Solve s + 8 = 4*x for x. 5 Let a(n) = 5 + 0*n + 0 - n. Let u be a(7). Let f = u - -6. Solve -j + f = -1 for j. 5 Let r = -5 + 7. Let i(q) = 5*q**2 - q - 1. Let j be i(-1). Suppose -j*h + o = -o - 14, 4*h - 2*o = 12. Solve -16 = -r*n - h*n for n. 4 Let j(b) = b**3 + 2*b**2 - 5*b - 4. Let x be j(-3). Solve 0*r + r = x for r. 2 Let k be ((-3)/(-6))/((-2)/24). Let a = k - -5. Let p be (-6)/(-1) + a + -1. Solve -p*n + 7*n = 0 for n. 0 Suppose w = -v + 2, -4*w = 4*v - 2*w - 12. Let h = 10 - v. Solve q - 15 = h*q for q. -3 Let x = 2 - -5. Let p be (-24)/(-2) + 0/((-16)/(-8)). Solve -4*d = -x*d - p for d. -4 Let m = -12 + 19. Let s(p) = p**2 - 9*p + 17. Let r be s(m). Solve -4 = -r*n + 2 for n. 2 Let m = -7 - -7. Let y = m - -3. Solve -y = 2*q - 5 for q. 1 Suppose -2*r - 53 = -71. Suppose 4*j - 33 - 7 = -3*s, -8 = -3*s + 4*j. Let m = s - 6. Solve m*x = 1 - r for x. -4 Suppose 5*h + 2 = 17. Solve -h*w + 0*w = -9 for w. 3 Let c be -1 + 13 - (0 + 4). Solve -3*i + 5 = -c*i for i. -1 Let x(i) = -i**2 - 5*i + 6. Let m be x(-5). Suppose m*d = d. Solve -2 + d = b for b. -2 Suppose 7*m = 4*m - 5*r + 6, 2*m - 4 = -r. Solve c + 0*c - m = 0 for c. 2 Let x(i) = -i**2 - 5*i + 2. Let p be x(3). Let j = p - -27. Solve t - j*t = 12 for t. -3 Let a(x) = -12*x**3. Let c be a(-1). Solve 4*m + 0 - c = 0 for m. 3 Let c(l) = -l**2 + 3*l - 3. Let b be c(3). Let h = b - -8. Suppose -h*n + 0*n + 25 = 0. Solve -1 = -4*j - n for j. -1 Suppose 3 + 19 = 2*p - 3*t, 0 = t + 4. Solve p*u - u = -4 for u. -1 Suppose -p = -2*j - 9, -32 = j + 5*p - 11. Let h(o) = -o. Let r be h(-2). Let k be (-1)/3 - r/j. Solve k = -4*b + 3*b + 4 for b. 4 Let t = -5 + 10. Suppose z - 16 = t*z, -4*k + 72 = -4*z. Solve k - 2 = -3*l for l. -4 Let b be (-18)/(-5) + (-4)/(-10). Solve -5*o + b = -11 for o. 3 Let g = -1 - -5. Suppose 0 = 3*k + n - 20, -6 = -g*k + n + 9. Solve -3*q = 2*q - k for q. 1 Let y(t) = -t**3 + 10*t**2 - 8*t - 9. Let x be y(9). Suppose x = 3*r - 2*r - 16. Suppose n + 3*n = r. Solve -b = b + n for b. -2 Suppose -3*f - 19 = b, 3*b - 5*f = b - 16. Let k be 8/(-20) + b/5. Let y = k - -3. Solve 4*l - 8*l = y for l. 0 Let q = 23 + -21. Solve r + 12 = -q*r for r. -4 Let k be 0/1 - 0/(-2). Solve -2*y - y = k for y. 0 Let a be ((-4)/(-6))/((-16)/(-24)). Solve -m + 4 = a for m. 3 Let c(n) = n - 1. Suppose -5 = -0*v - 5*v. Let i be c(v). Let j = 5 + i. Solve -j*k + 5 = -0 for k. 1 Let s(p) = p**3 + 7*p**2 - 10*p - 16. Let x be s(-8). Solve x = 7*m - 2*m - 5 for m. 1 Let q(i) = -i**2 + 9*i - 2. Let r be q(8). Suppose 5*n - 42 = -c, -c - 2*n + 8 = -19. Suppose -c + 47 = 2*m. Solve 0 = -r*t + t + m for t. 3 Let i(j) = 2*j**2 + 9*j + 4. Let t be i(-4). Solve q - 4*q - 9 = t for q. -3 Suppose 0*d = -5*d + 80. Let m = 4 + -2. Suppose -m*u + 0*u = -4. Solve 2*x = -u*x + d for x. 4 Suppose h + 4 = -5*c, -16 - 4 = 4*c + 5*h. Let o = 2 + 1. Solve c = m + o*m for m. 0 Let y(t) = 2*t - 5. Let f(v) = v - 4. Let c(r) = 3*f(r) - 2*y(r). Let u be c(5). Let k be 3 + u/(21/(-12)). Solve k - 1 = -2*q for q. -3 Let p(n) = n**2 - 1 + 2*n - 2*n**2 + 5. Let w be 5/(20/(-8)) + 5. Let d be p(w). Solve f = 3 - d for f. 2 Let x = -9 - -13. Suppose -x*o + 2*p = -10, 0*o + 2*p - 14 = -4*o. Solve o*l = -l + 20 for l. 5 Let m(r) = r**2 + 3*r. Let n be m(-5). Suppose 0*k - 2*a = -k + 2, a + 3 = k. Solve 2*d - n = k*d for d. -5 Suppose -5*g + 1 = 3*s, -4*s + 3*s + 4 = -2*g. Solve 8 = -2*j + s for j. -3 Let x = -130 - -130. Solve x*w = 3*w for w. 0 Let n(u) = -u + 2. Let k(i) = i**3 + 4*i**2 + 4*i - 1. Let l be k(-3). Let j be n(l). Suppose -3*f = -4*f + j. Solve -h + f*h = -20 for h. -4 Let d = 36 + -34. Let r = -1 + 1. Solve -2*u - d = -r for u. -1 Suppose 0 = -5*k + 5 - 0. Solve -k - 14 = 5*c for c. -3 Let b = 79 + -76. Solve -4*l + l - b = 0 for l. -1 Suppose 3*h - 4*h = -4. Let s be (4/h)/(2/4). Solve 11 = -3*a + s for a. -3 Let a = 36 - 29. Solve -15 = -a*f + 2*f for f. 3 Let p = -3 + 3. Let h = 2 + p. Suppose -h*a - 5*x + 20 = a, 5*a + 5*x = 30. Solve a*i + 22 = -3 for i. -5 Let n = 2 + 4. Let d be 39/9 + 4/(-12). Suppose 0 = -0*g - d*g. Solve 3*o = -g*o - n for o. -2 Let t be -2 + 9 + -3 + 0. Solve 8*o = t*o for o. 0 Let c(t) = -t + 6. Let a be c(10). Let u be (-1)/2 - 22/a. Suppose -2*p - 16 = -u*z, 3*p = z + z - 2. Solve y + z = 3 for y. -1 Let b be (11 + 9/(-3))*2. Let l = 21 - b. Solve 3*z = -4 - l for z. -3 Let n be -2 - 13/(2 + -3). Solve 3*m + n - 2 = 0 for m. -3 Let o be 2/3 - 16/6. Let r(w) = w**3 + 2*w**2 - 3*w - 3. Let j be r(o). Solve j - 8 = z for z. -5 Let n = 56 - 40. Solve 0*m + 4*m = -n for m. -4 Suppose s - 3*g - 15 = 0, -5 + 17 = -3*g. Suppose s*f = 2*a + 16, -5*a - 28 = -3. Solve -3*o = -f*o + 1 for o. -1 Let v(j) = 3*j - 15. Let m be v(7). Solve 16 = -m*w + 2*w for w. -4 Let h be (-2 + 2 - (-45)/(-36))*-4. Solve -3*s + h = 2*s for s. 1 Suppose -5*o + 3*m + 15 = 2*m, -4*o + 2*m + 6 = 0. Solve o*x = x - 12 for x. -4 Let f be 1 + 4 - 2*1. Suppose 0 = -f*v + v + 26. Let s = v - 7. Solve -s*g - 15 = -g for g. -3 Let c(x) = 2*x + 5. Let o be c(4). Let z = -11 + o. Suppose 6 = -z*w, -2*w = -2*u + w + 9. Solve u = -0*a - 5*a - 25 for a. -5 Suppose 0 = 5*b - 1 - 34. Suppose 3*p = -2*t + b, p - 2*p = -2*t + 19. Suppose d + 5*k - t = 4*d,
{ "pile_set_name": "DM Mathematics" }
t m. 240*m**3 - 1224 What is the second derivative of 301*h*r**2 + 26*h*r + 3*h - 19*r**2 - 3*r - 6 wrt r? 602*h - 38 Find the second derivative of -14763*n**2 + 5347*n. -29526 Find the second derivative of -4193*d**2*h*l**2 + 2*d*h*l**2 + 27*d*h*l + d*l**2 wrt d. -8386*h*l**2 Find the first derivative of -3*r**4 - 261*r**3*s + 862*s wrt r. -12*r**3 - 783*r**2*s What is the derivative of -3*k**2*y*z**2 - 40*k**2*z**2 - k*s*z + s*y*z**3 - 2*s*y - 2*s*z**3 wrt y? -3*k**2*z**2 + s*z**3 - 2*s Find the third derivative of -65*w**3 - 56*w**2 - 3*w wrt w. -390 What is the third derivative of 715*z**3 - 9*z**2 + 44 wrt z? 4290 What is the derivative of 2*r*x**2 - r*x - 4*r + 294*x**4 + 38 wrt x? 4*r*x - r + 1176*x**3 Find the second derivative of -p**2*y*z**2 + 22*p**2*y*z + 3*p*y - 2*p*z**2 - 3*p + 2*y*z**2 wrt p. -2*y*z**2 + 44*y*z What is the first derivative of -173*v + 154? -173 What is the third derivative of 268*v**6 - v**3 + 3025*v**2 wrt v? 32160*v**3 - 6 What is the third derivative of 1967*s**3 - 769*s**2? 11802 What is the first derivative of -178*b - 75? -178 What is the derivative of 42*o**4 + 3*o**2 - 1133 wrt o? 168*o**3 + 6*o Differentiate -32*j*u*y**3 - 315*j*u*y**2 - 84*u*y**3 - 7*u*y**2 with respect to j. -32*u*y**3 - 315*u*y**2 What is the third derivative of -1394*d**4 - 1887*d**2 - d wrt d? -33456*d Find the third derivative of -w**4 + 319*w**3 - 242*w**2. -24*w + 1914 Find the second derivative of 7758*t**2 + 6263*t wrt t. 15516 What is the second derivative of 111*q**3 + 3*q - 43 wrt q? 666*q Differentiate 7*k**3 - 3*k**2 + 182 with respect to k. 21*k**2 - 6*k What is the derivative of 1998*f**2 - 5588 wrt f? 3996*f Differentiate -9*o**3*q*t - 2*o**3 - 59*q**2*t + 333*q**2 - q with respect to t. -9*o**3*q - 59*q**2 Find the second derivative of 2*s**5 + 317*s**3 + 2101*s. 40*s**3 + 1902*s What is the second derivative of -3*k**2*v**4 - 4*k**2*v - 638*k**2 - 247*k*v**2 wrt v? -36*k**2*v**2 - 494*k Find the second derivative of -3869*m**2 + 2*m + 2221 wrt m. -7738 Find the third derivative of -5*g**3*j + 15*g**3 - 19*g**2*j + 2*g**2 - g wrt g. -30*j + 90 What is the first derivative of -11959*k*v - 2*k + 2*v + 800 wrt v? -11959*k + 2 What is the third derivative of a**4*p**2 - 216*a**3*p**2 + 24*a**2*p**2 + 2*a**2 wrt a? 24*a*p**2 - 1296*p**2 Find the third derivative of -258*f**2*g**4 - 2*f**2*g**3 - 16*f**2*g**2 + 162*f**2 + g**3 wrt g. -6192*f**2*g - 12*f**2 + 6 Find the third derivative of -o**4*u + 1597*o**4 + o**2*u - 27*o**2 - 9*o*u wrt o. -24*o*u + 38328*o What is the third derivative of -3648*z**3 - 26*z**2 + 14? -21888 Differentiate -1060*t + 1217 with respect to t. -1060 Find the second derivative of 14*g*p**3 - 2*g*p**2*u + 2*g*p**2 + 2*g*p*u**3 + 2*p**3*u**2 + 4*p**3 - 11*p**2*u**3 wrt u. 12*g*p*u + 4*p**3 - 66*p**2*u Find the third derivative of 39*i**5 - 2*i**3*v**2 + 2*i**3 + 322*i**2*v**2 - 2*v**2 wrt i. 2340*i**2 - 12*v**2 + 12 Find the second derivative of -6*o**2*x**2 - 175*o**2 + o*x - o + 435*x**2 wrt x. -12*o**2 + 870 Find the second derivative of -1380*h**4*i**3*l - 2*h**4*l - h*i**2 - 7*h*i*l + 2*h*l - 5*i**3*l - 3*i*l wrt h. -16560*h**2*i**3*l - 24*h**2*l Find the first derivative of 13*d**2*o*x**3 + 21*d**2*o*x**2 + 2*d + 9*o*x**2 + o*x - 19*x**3 wrt d. 26*d*o*x**3 + 42*d*o*x**2 + 2 What is the second derivative of -129*f**3*j**2 + f**3 - 139*j - 2 wrt j? -258*f**3 Differentiate 1091*a**3*p**2 - a**3*p + 14298*a**3 - p**2 with respect to p. 2182*a**3*p - a**3 - 2*p What is the second derivative of -21*c**4*r**2 + 5*c**3*r**3 - c*r**3 - 88 wrt c? -252*c**2*r**2 + 30*c*r**3 What is the derivative of 544*o*z**3 + 787*z**3 wrt o? 544*z**3 What is the second derivative of 1217*z**2 + 413*z? 2434 What is the second derivative of -17*l**2*m*w**3 - 6*l**2*m*w + 2*l*m*w**3 - 2*l*m*w**2 - 4*l*m*w - 2*l*w**3 wrt l? -34*m*w**3 - 12*m*w Find the second derivative of 3*d*m*r*w**2 - 4*d*m*w**2 + d*m*w - 4*d*r**2*w - 2*m*r**2*w**2 - 6*m*r*w - 1 wrt w. 6*d*m*r - 8*d*m - 4*m*r**2 What is the third derivative of -45*y**6 + 24*y**4 - 2*y**3 - 12519*y**2? -5400*y**3 + 576*y - 12 What is the third derivative of 85*j**3 + 10*j**2 + 2*j? 510 Find the first derivative of 214*f**2*i + f*i**2 + 2212*i**2 wrt f. 428*f*i + i**2 Find the third derivative of -8302*q**2*r*v**3 + 4*q**2*v**2 + 64*q*r*v**2 - q - 2*r*v**2 wrt v. -49812*q**2*r What is the third derivative of -b**5*c**2 + 660*b**5 + 2*b**2 - 27*b*c**2 - 3*c wrt b? -60*b**2*c**2 + 39600*b**2 What is the third derivative of 12275*q**3 + 484*q**2 wrt q? 73650 Find the second derivative of -5*c**2*p**5 + 1438*c**2*p**3 + 21907*c**2*p wrt p. -100*c**2*p**3 + 8628*c**2*p What is the second derivative of 151*c**3 - 2*c**2*u**2 + 2*c*u**2 - 58*c*u + u**2 wrt c? 906*c - 4*u**2 Find the second derivative of 122*c**5*s - 6*c**4*w - c**2 - 2*c*s - 25*c*w + 3*c - 2*w wrt c. 2440*c**3*s - 72*c**2*w - 2 What is the third derivative of j**4*z + 59*j**4 + j**3*z - 2*j**2 - 55*j*z wrt j? 24*j*z + 1416*j + 6*z What is the third derivative of 2*j**3*w**3 + 2*j**3*w**2 - 68*j**2*w**2 + 96*j*w**4 wrt w? 12*j**3 + 2304*j*w Find the second derivative of o**3*p**3 + 2449*o**3*p**2 + 14*o*p**3 + o - 46*p**3 wrt o. 6*o*p**3 + 14694*o*p**2 Find the second derivative of -g**3*n - 80*g**3*o + 5*g*n*o - 3*g - 4*n*o - 2*o wrt g. -6*g*n - 480*g*o What is the third derivative of -4891*d**3 + 1421*d**2? -29346 What is the derivative of 247*p**2 + 284? 494*p Find the second derivative of 2299*w**5 + 39*w + 10. 45980*w**3 What is the third derivative of -w**5 + 137*w**3 + 3*w**2 + 20*w wrt w? -60*w**2 + 822 What is the third derivative of 26*j**6*w**2 - 4*j**5*w**2 + j**2*w**2 - 37*w**2 wrt j? 3120*j**3*w**2 - 240*j**2*w**2 Differentiate -31*p**4 + 26*p**3 - 3753 with respect to p. -124*p**3 + 78*p**2 What is the first derivative of -1371*c*q*s**2 - 38*q*s**2 - 2*q + 4*s**2 wrt c? -1371*q*s**2 Find the second derivative of 9*k**4 + 3*k**3 - k**2 - 3928*k wrt k. 108*k**2 + 18*k - 2 Find the third derivative of -5072*n**3 + 6*n**2 - 261. -30432 What is the derivative of 95*h**4 - 665? 380*h**3 What is the second derivative of -2*t**4 - 1699*t**2 + 89*t - 25 wrt t? -24*t**2 - 3398 What is the second derivative of 7*j**3*n**3 - 2*j**2*n**3 + j**2*n**2*v + 6*j*n**3*v - j*n**2*v - 2*n**3*v wrt j? 42*j*n**3 - 4*n**3 + 2*n**2*v What is the second derivative of 7915*c**2 - 27*c - 51 wrt c? 15830 Find the third derivative of -a**3*d**4 - 12*a**3*d - 3*a**2*d**2 + 14*a*d - 31*d**4 wrt d. -24*a**3*d - 744*d What is the second derivative of 9*z**4 - z**3 + 19*z**2 + 7886*z? 108*z**2 - 6*z + 38 Find the third derivative of -4686*b**4 - 34*b**2 + 137 wrt b. -112464*b Find the first derivative of -43*b**3*p - 2*b**2*p**2 + b**2*p - 1326*p**2 wrt b. -129*b**2*p - 4*b*p**2 + 2*b*p What is the derivative of m**2*y**2 + 836*m**2 - 276*y**3 wrt y? 2*m**2*y - 828*y**2 What is the third derivative of 3*c*p**3 + 2*c*p**2 + 2577*c + p**6 wrt p? 18*c + 120*p**3 What is the derivative of 38*g**2*i**2 - 2*g**2*i + 9*g**2 - 7432*i**2 wrt g? 76*g*i**2 - 4*g*i + 18*g What is the second derivative of 1386*a**5 - 8*a + 54? 27720*a**3 What is the first derivative of -718*s**3 - 100? -2154*s**2 Find the second derivative of -117*o**3*t**2 + 5*o**3*t - 4*o**2*t wrt t. -234*o**3 Find the third derivative of 6*d**4 - 5*d**3*m**2 + 2*d**2*m**2 - 23*d**2*m wrt d. 144*d - 30*m**2 What is the third derivative of 2*f**3*z**3 - 1924*f**3*z - f**2*z**3 + f**2*z - 4*f*z**2 - z**2 wrt f? 12*z**3 - 11544*z What is the third derivative of -3*h*j**4 - 2*h*j**3 + 8*h*j**2 + 22*j**4 + 2*j**3 + 549 wrt j? -72*h*j - 12*h + 528*j + 12 Differentiate 2567*m*z + 2*m - 95 with respect to z. 2567*m What is the first derivative of 318*g**3*v**2 + 2*g**3 - 7*g**2 + g*v**4 - 2*v**4 - 27 wrt v? 636*g**3*v + 4*g*v**3 - 8*v**3 Find the third derivative of 2326*y*z**6 + y*z**5 - y*z**2 + 72*z**2 - z wrt z. 279120*y*z**3 + 60*y*z**2 Differentiate 52*h**2*i + 96*h**2 - 3*h*i + 2*h wrt i. 52*h**2 - 3*h What is the first derivative of 489*p**2*u**3 + p**2*u - 2*p + 7602*u**3 - 2*u**2 wrt p? 978*p*u**3 + 2*p*u - 2 Differentiate 6*o**2*q + 323*o**2 + 34*o*q with respect to q. 6*o**2 + 34*o What is the third derivative of -412*b**3*o**3 - 2*b**3*o - 2*b**2*o**2 + 8*b*o**3 + 1
{ "pile_set_name": "DM Mathematics" }
greatest common factor of 1007 and g? 53 Let x(j) = 0*j**2 + 17*j**2 + 3*j - 6*j**3 + 8*j**3 + 11*j + 6. Let t be x(-8). Let n = t - -43. What is the highest common factor of n and 7? 1 Suppose -397 = -4*t + 3*h, 5*h - 9*h = 5*t - 535. Let s = t + 2. What is the greatest common divisor of 140 and s? 35 Let d(r) = -28*r + 15. Let f = 8 - 13. Let v be d(f). Let u = -59 + v. What is the highest common divisor of 12 and u? 12 Suppose 0 = -4*m + 12, 9 = g + 4*m - 13. Suppose 3*b = -2*r + 19, 4*r = -g - 6. Let a be 506/b - 4/18. What is the highest common divisor of 8 and a? 8 Let q be 2/4*((2 - 2) + 4). Suppose q*g - 7 = -3. Let n be g/(-17) - (-1 - 2301/51). Calculate the highest common divisor of n and 322. 46 Let q(c) = 9*c**2 - c + 117. Let i be q(0). Calculate the greatest common factor of i and 549. 9 Let n(t) = 3*t + 7. Let v(h) = 4*h + 8. Let r(m) = 6*n(m) - 5*v(m). Let a = -31 - -30. Let c be r(a). What is the greatest common factor of 28 and c? 4 Let m(r) = -18*r + 1. Let a be m(-1). Suppose -912*l = -907*l - 15, 0 = 4*n - 5*l - 593. Calculate the highest common factor of a and n. 19 Suppose 11 = c - 19. Suppose -c*x - 155 = -31*x - 4*v, -x - v + 170 = 0. Suppose 3*f - 2*f - 25 = 0. Calculate the highest common divisor of f and x. 25 Suppose 13*l - 16*l + 93400 = 4*k, 6*k - 3*l - 140040 = 0. Calculate the highest common factor of 16 and k. 16 Suppose 513 = 16*q + 177. What is the greatest common factor of q and 427? 7 Let c(t) = 2*t**2 + 135*t + 28. Let l be c(-68). What is the greatest common divisor of l and 1056? 96 Suppose -16*b = -14*b - 28. Let r = b + -18. Let x be r/(-5) - (-1547)/85. What is the highest common divisor of x and 38? 19 Let c(g) = 4*g - 13 - 1 + 8 + 8. Let r be c(9). Suppose 0 = -9*s + 106 + r. What is the highest common factor of s and 96? 16 Suppose 6*y - 4*y - 26 = 0. Suppose y*h - 8*h - 5 = 0. Let o be 3 + h + (-1795)/(-5). Calculate the highest common divisor of 33 and o. 33 Let j(m) be the first derivative of -2 - 15/2*m**2 - 2/3*m**3 - 6*m. Let u be j(-6). What is the greatest common divisor of u and 30? 6 Suppose 23*p = 107 + 54. Suppose -431 = -p*s - 116. Calculate the highest common divisor of s and 375. 15 Let l(y) be the third derivative of y**5/20 - 3*y**4/4 + 3*y**3/2 + 175*y**2. Let g be l(-6). What is the greatest common factor of g and 60? 15 Suppose 8*i - 240 = 3*i. Let a = -47 + 49. Let k be (-15)/(-10) + -2 - (-65)/a. Calculate the highest common factor of k and i. 16 Let v = 1858 - 1831. Let w(c) = -2*c + 2. Let o be w(-3). Suppose 0*a + 4*a - o = 0, -546 = -4*m - 3*a. Calculate the highest common factor of m and v. 27 Let r = 983 - 1532. Let q = r - -617. Calculate the highest common factor of q and 221. 17 Suppose -1528319 + 770582 = -317*i + 1330025. What is the highest common factor of 74 and i? 74 Suppose 20*o = 14*o + 1764. Calculate the highest common factor of o and 3969. 147 Let n = 18 - 6. Let z = -64 + 62. Let i be (-11682)/(-108) + z + 33/18. Calculate the greatest common factor of i and n. 12 Let y(g) = -18*g + 18. Let x be y(-3). Let w(j) = j**3 - 116*j**2 + 227*j + 141. Let u be w(114). Calculate the greatest common divisor of x and u. 9 Let w be 293 + (0 - 6) + 17. Calculate the highest common factor of 3876 and w. 76 Suppose 0 = 530*u - 411*u - 5236. What is the highest common factor of u and 4708? 44 Suppose -72*w = -101 - 10699. What is the greatest common divisor of 4425 and w? 75 Let l(p) = -28*p - 122. Let a be l(-10). Let m = 208 - a. What is the highest common factor of m and 450? 50 Suppose 1634*r = 1639*r - 11850. What is the highest common factor of r and 30? 30 Suppose 10*a - 7*a = 5337. Let j = a - 1267. Calculate the highest common factor of j and 32. 32 Suppose x - 2*x = -4. Let u be (-3 - -14 - 4) + x. Let n(j) = 19*j**2 - j - 1. Let f be n(-2). What is the greatest common divisor of u and f? 11 Let m be 14*(5/(-10))/(2/14). Let i = 76 + m. Let f be ((-18)/(-8))/((-3)/(-12)). Calculate the greatest common divisor of i and f. 9 Suppose -3*o + 480 = 3*g, -4*o - 330 = -2*g - o. What is the greatest common factor of g and 1296? 162 Suppose 15*d - 4 = 14*d. Suppose 2*t = 5*u + 107 + 87, -d*t = -3*u - 402. Let k = 42 + -25. Calculate the highest common factor of k and t. 17 Let x(n) = 157*n**3 - 5*n**2 + 34*n - 322. Let z be x(6). What is the greatest common factor of 14 and z? 14 Let h = -512 + 787. What is the highest common factor of h and 220? 55 Let m be ((222*188/8)/(18/(-60)))/(-2). Calculate the greatest common factor of 47 and m. 47 Suppose 24*f - 7360 = 16*f. Suppose 4*q = 2*q + f. What is the greatest common factor of q and 40? 20 Let x(v) = 2*v**2 - 2*v - 1. Let s be x(5). Let c be 3/(((3 + 0)*1)/14). Suppose -50*i = -c*i - 5616. What is the greatest common divisor of i and s? 39 Let t(q) = 32*q + 13. Let c be t(-9). Let j = c + 321. Let a be 3/(-9) + 695/15. What is the greatest common divisor of a and j? 46 Let f be 486/27 - (2 + 0/1). Let m be -2 - -6*(-2)/(-4). Calculate the highest common divisor of f and m. 1 Suppose -4*d + 2*d = 3*k + 8, 4*d = k - 16. Suppose k = -7*g + 121 + 1496. Calculate the greatest common factor of 21 and g. 21 Let m = 9681 + -9652. Calculate the highest common divisor of 3335 and m. 29 Let v(a) = -398*a - 9. Let m be v(-1). Let w = m + -324. Calculate the greatest common factor of 52 and w. 13 Let c = -769 - -770. Let z be (-4 - -2)/(c*(-6)/48). Calculate the greatest common divisor of 720 and z. 16 Let f(l) = -l + 20. Let d be f(13). Let j(n) = -3*n + 108. Let m be j(15). Calculate the highest common divisor of m and d. 7 Suppose -192 = 241*b - 253*b. Suppose 1802 = 4*x + r, -2*x - 12*r + b*r + 910 = 0. Calculate the highest common factor of 11 and x. 11 Let i(q) = 7*q + 1284 - 1372 - 62*q. Let h be i(-7). What is the greatest common factor of h and 11? 11 Suppose 4*s - z = 211, z - 5 = -0. Suppose -10*l = -l - s. Suppose -5*r + 197 = -73. What is the greatest common divisor of l and r? 6 Suppose 13*w - 18 = 7*w. Suppose x = -h - 2*h + 428, -2*h + 276 = w*x. Calculate the highest common factor of h and 12. 12 Suppose -10*x + 9*x = 0. Suppose 6*s - s - 270 = x. Let h(u) = -2*u**3 + u**2 - u - 4. Let d be h(-2). Calculate the highest common factor of s and d. 18 Let u(j) = 69*j**2 + 27*j + 113. Let l be u(-5). Calculate the highest common divisor of l and 262. 131 Let c = 1633 - 949. What is the greatest common divisor of 486 and c? 18 Suppose -g - 6 = h - 2*h, -3*g = -4*h + 24. Let m be 38 - (4 - -6 - h). Calculate the highest common divisor of m and 238. 34 Let c be (-7 - -13)*(-1)/(-2). Suppose -18 = 2*j + 4*f, 4*f = -j - 3*j - 40. Let l = j + 17. Calculate the greatest common factor of c and l. 3 Let r = 11204 - 10988. What is the highest common divisor of 135 and r? 27 Let w be 198 + -9 + 4/(-8) - 4/8. Calculate the greatest common factor of 2538 and w. 94 Let j(n) = n**3 - n. Let c(m) = -3*m**3 - 5*m**2 + 6*m + 3. Let b(f) = c(f) + 2*j(f). Let g be b(-6). What is the highest common factor of g and 10? 5 Let y = 36 - 22. Suppose -y*n + 83 + 3193 = 0. Let g(j) = -j**3 - 5*j**2 + 11*j + 5. Let v be g(-7). Calculate the highest common factor of v and n. 26 Let c = -188 - -180. Let r be (c/10)/(((-132)/55)/6). What is the greatest common divisor of 3 and r? 1 Let p(m) = -m**3 + 15*m**2 + 8*m - 92. Let b be p(15). Calculate the highest common factor of b and 1582. 14 Let f(j) be the second derivative of j**5/20 + 11*j**4/12 + j**3/2 + 18*j**2 + 4*j + 3. Let n be f(-11). Calculate the highest common divisor of n and 27. 3 Suppose 6 = y, 20*y - 17*y - 1353 = -3*q. Calculate the highest common factor of q and 80. 5 Let v = 389 + -181. Suppose -5*x - 863*o = -867*o - 219, 18 = -3*o. What is the highest common divisor of v and x? 13 Suppose 6*l + 2*b + 4 = 9*l, 4*l + 5*b = -33. Let m(p) = 2*p**2 + p + 4. Let i be m(l). Calculate the greatest common divisor of i and 90. 10 Suppose 5*d + 85 = c, 0 = 5*c - c - d - 264. Let m = 395 + -374. Suppose y = -b + 6*b + 8, 2*y - 5*b - m = 0. Calculate the highest common factor of c and y. 13 Let m be -25*((-24)/20)/2. What is the greatest common factor of m and 1875? 15 Suppose -9*t - 818 = 235. Let q be (546/t)/(2/(-18)). Let j(u) = -u**3 + 5*u + 5. Let l be j(-5). Calculate the highest c
{ "pile_set_name": "DM Mathematics" }
Let u(a) = -a**2 - 4*a + 3. What is u(s)? 3 Let c(a) = a**3 + 6*a**2. Suppose 2*u = 5*b + 19, -5*b - 2*u = -b + 26. Calculate c(b). 25 Let j(d) be the second derivative of -d**4/6 - d**3/3 - d**2 + 4*d - 7. Give j(-1). -2 Let q = -488 + 1073. Let f(l) = -q + 584 + 2*l - 3*l. What is f(4)? -5 Let n(b) = b**2 - 2*b - 2. Suppose 0 = -55*c - 4 - 51. Calculate n(c). 1 Let u = 38 + -63. Let m be 10/u - 112/20. Let q(r) = -2*r + 1. Let h(b) = 3*b - 1. Let w(j) = -3*h(j) - 5*q(j). What is w(m)? -8 Suppose -8*f + 130 = 10. Let s(z) = 9*z - 2 + 5*z - 4*z**2 - z**2 - z**3 - f*z. Determine s(-5). 3 Let f = 95 - 89. Let p(b) = 4*b**2 - 9*b - 3. Let v(u) = 3*u**2 - 8*u - 2. Let m(r) = -2*p(r) + 3*v(r). Determine m(f). 0 Suppose 2*o = 6*s - s + 15, -o = -s - 9. Let a(f) = 12 + 3*f - o + 5*f**2 - 7. Let b(m) = -4*m**2 - 2*m + 4. Let j(v) = -5*a(v) - 6*b(v). Determine j(-2). 3 Let b(w) = -w**3 - 5*w**2 + 6*w + 5. Suppose 5*r = 2*n - n - 18, -4*n - 28 = 5*r. Let o be (1*(r - 2))/1. Give b(o). 5 Let u(j) be the third derivative of 1/30*j**5 + 0*j + 1/6*j**3 - 1/6*j**4 + 19*j**2 + 0. Give u(3). 7 Let x(h) be the first derivative of -5*h + 1/3*h**3 + 15 - 3*h**2. Calculate x(7). 2 Let m(q) = q**3 + 4*q**2 - 15*q + 5. Let y(f) = -5*f**2 + 18*f - 6. Let t(v) = 6*m(v) + 5*y(v). Determine t(-1). -7 Let k(a) be the second derivative of 5*a**3/6 + a**2 + 2*a. Let h = 286 + -288. Calculate k(h). -8 Let r(l) = -l**2 + 17*l + 20. Let v be r(18). Let k(m) = -4*m**2 + 8*m**2 + m**2 + m**3 - 3*m - v*m**2. Suppose 8 = -2*j - j + h, 0 = j - 5*h - 16. Give k(j). -4 Let f(v) = -50*v**2 + 33*v - 32. Let i(h) = 11*h**2 - 8*h + 8. Let n(q) = 2*f(q) + 9*i(q). Let t = 15 - 21. What is n(t)? 8 Let a(v) = v - 7. Let g be a(8). Let x be g/(-1) - (2 - 1). Let m be -7 + x + 2 - -3. Let f(h) = h**3 + 5*h**2 + 4*h - 1. Determine f(m). -1 Let x(j) = 2*j**2 + 2*j - 32. Let q(b) = -4*b**2 - 4*b + 57. Let s(h) = -5*q(h) - 9*x(h). What is s(-2)? 7 Let b(h) = -4 - 3*h**2 + 295*h**3 - 294*h**3 + 6*h - 3*h + 2*h. Determine b(3). 11 Let g(i) = -i**3 + i**2 + i. Let r = -4 - -6. Suppose 0 + 8 = r*w. Suppose -10 = m + w*m. Calculate g(m). 10 Let t = -411 - -414. Let n(i) be the second derivative of -i**4/12 + i**3/3 + i**2 + i. Give n(t). -1 Suppose 0 = 5*q + 4*n + 4, 0*q - q - 4*n = 4. Let m(g) = g**2 - 146 - 35*g + 142 + 36*g + g**3. Determine m(q). -4 Let x(w) be the third derivative of -w**6/120 - 2*w**5/15 - 5*w**4/12 - w**3 + 223*w**2. Determine x(-6). -18 Let d(s) = -108*s + 3*s**2 + 5*s**3 - s**2 + 109*s. Suppose 0*v - 2*v - 6 = 0. Let l be v - (1 + 1 - 4). Calculate d(l). -4 Let l = -16 + 9. Let m(v) = 172 - 3*v + 174 - 355 - 2*v + 2*v. What is m(l)? 12 Let o(u) = -3*u + 2 + 5*u - 1. Suppose -d + 21 = -5*d + 3*c, d + 1 = 5*c. Calculate o(d). -11 Let i(f) be the third derivative of 1/4*f**4 + 0*f + 0 + 1/60*f**5 + 13*f**2 - 4/3*f**3. Give i(-7). -1 Let k = 29 - 25. Let w(m) = -7 + m - 1 + k - 2. Calculate w(6). 0 Let w(o) = o**2 + 14*o + 1. Let s(c) = 16*c - 93. Let i be s(5). Determine w(i). -12 Suppose -2*x - 20 = 139*k - 144*k, 4*x + k = 26. Let l(s) = -s**2 - 2 + s**2 - 7*s + 2*s**2. Determine l(x). 13 Let g(z) = -3*z + 10. Let t be g(6). Let b be (-12)/t + (-11)/2. Let i be 8/b*(-3)/6. Let m(a) = -6*a**3 + a**2 - a. Determine m(i). -6 Let d be 3/(30/(-64)) - 45/75. Let c(f) = -f**2 + f + 1. Let z be c(-2). Let x = d - z. Let m(u) = -2*u**2 - u + 1. Calculate m(x). -5 Let a(q) = 2*q - 3. Let z = 433 + -438. Determine a(z). -13 Let w(u) = u**3 + 3*u**2 + u - 3. Let k be w(-3). Suppose h + 1 - 4 = 0. Let q(b) = h - 4 + 0 + b - 1. Give q(k). -8 Let r(m) = -18*m**2 + m. Let p = -354 + 353. Give r(p). -19 Let n(o) = o + 5. Let i be (-1)/(-3)*(-399)/19. Calculate n(i). -2 Let n(k) = k**2 + 7*k + 1. Suppose -3*l = 2*h + 20, 2*l + 10 + 8 = -2*h. Give n(h). 1 Suppose -3 = -4*d + 13. Suppose 6 = 3*o - d*o. Let m(n) = -14 + 8*n - 10*n + 6. Calculate m(o). 4 Let p(z) = z - z - z + 13 + 2*z + z. Determine p(0). 13 Let n(r) = r**2 + 4*r. Let y be 30/(-9) + 2/6. Let l(g) = g**3 + 5*g**2 - 9. Let t be l(-5). Let s be -9*y/t*1. What is n(s)? -3 Let y(b) = -15*b - 35. Let u(j) = 13*j + 34. Let l(g) = 6*u(g) + 5*y(g). Determine l(-12). -7 Suppose -8*p - 9 = b - 7*p, -5*p - 5 = -5*b. Let a(z) be the second derivative of -z**5/20 - 5*z**4/12 - 2*z**3/3 - z**2/2 + z. Determine a(b). -1 Let k(m) be the third derivative of 0 + 1/60*m**5 - 1/24*m**4 + 2*m**3 + 0*m - 3*m**2. Determine k(0). 12 Suppose -16 = 6*w - 2*w. Let d(h) = -7*h + 3. Determine d(w). 31 Let s(u) = -u - 4. Let k = 16 - -2. Let l = k - 20. Determine s(l). -2 Let c(z) be the first derivative of 1/4*z**4 - 4/3*z**3 - 39 + 2*z**2 - 4*z. Determine c(3). -1 Let x(p) be the first derivative of 6*p**2 - p - 32. Let w(f) = -25*f + 2. Let y(z) = -6*w(z) - 13*x(z). What is y(3)? -17 Let g(p) = p**3 - 10*p**2 + 26*p + 3. Let z be g(5). Let d(u) = 3 - 2*u + 6 + 3*u - 2*u. Determine d(z). 1 Let j be -3 + (1 - -5*4/(-10)). Let o = 0 - -3. Let k(g) = 3 - o*g + 4*g - 7. Give k(j). -8 Let b = 107 + -104. Suppose -37 = -4*l - 3*a, -b*l + 40 = l + 4*a. Let v(y) = y**2 - 7*y - 1. What is v(l)? -1 Let r(i) = -i**3 - 4*i**2 + 2*i + 2. Let y(p) = 3*p**3 - 3*p**2 + 2*p - 4. Let j be y(2). Let l be (-4)/j*(8 - 2). Give r(l). -10 Let m(j) be the second derivative of -j**5/20 - 13*j**4/12 - 9*j**2/2 - 35*j + 1. Give m(-13). -9 Let j(o) be the third derivative of -5/24*o**4 + 5/6*o**3 + 0 - 7/60*o**5 + 0*o - 1/120*o**6 + 8*o**2. Let c(u) = 2*u + 12. Let h be c(-9). What is j(h)? -1 Suppose 16*n - 251 = -379. Let r(i) = -4*i + 5. Give r(n). 37 Let f(o) = -2*o**3 + o**2 + o + 1. Let t be f(-1). Let v(w) = w**3 - w**2 - 5*w + 2. Give v(t). 5 Suppose 3*p = p + 4*p. Let b(s) = p*s**2 - 3*s + s**2 - 3*s + 4*s. Determine b(2). 0 Let y be (8/(-3))/(-4)*(-54)/(-12). Let g(i) be the second derivative of 1/6*i**y + 5*i + 0 - 1/2*i**2. Determine g(1). 0 Let c(j) = -5*j**3 - j - 1. Suppose -9*d + 5*d + 21 = -y, 5*y + 10 = d. Let h = -6 - -11. Suppose -w = -a - d*w + 3, 0 = h*a - 2*w + 7. Calculate c(a). 5 Let i(l) = 1 - 2*l + 0 - 10. Suppose 2*d - 18 = -12. Suppose -33 = d*j - 4*h, 4*j + 9*h - 4*h = -13. What is i(j)? 5 Let f(z) = -z**3 + 18*z**2 - 21*z - 3. Let o(b) = -b**2 + 2*b. Let j(h) = -f(h) - 4*o(h). What is j(13)? 3 Let y be 15 + -12 + 0/2. Let k(r) = -25*r**y + 47*r**3 - 21*r**3 - 2 + r + 3*r**2. Let g be -1 + (0 - 0 - 2). Give k(g). -5 Let b be 5/((-25)/10) - -5. Suppose -b*y = 4*h + 16, 0*y + y - 2*h - 8 = 0. Let t(d) = d - 5. Calculate t(y). -5 Let f(h) = 10 + 0 - 7 + 0 - h**2 - h. Suppose 3*x - 5*m = 9, 8*m = 7*m. Calculate f(x). -9 Let n be (4 - (-28)/(-8))*8. Let s(h) = 0*h - h + 0*h + 8 - n. Calculate s(2). 2 Let k(j) be the second derivative of j**3/6 + 8*j + 10. Let g(d) = d + 10. Let h be g(-9). Calculate k(h). 1 Let g(t) = -151*t + 3. Let a(u) = -327*u + 6. Let s(z) = 6*a(z) - 13*g(z). Let j be -4 + -4 + (2 - 0). What is s(j)? -9 Let t(a) = -588*a**2 + 1182*a**2 + 8 - 593*a**2 + 5*a. Give t(-8). 32 Suppose 2*j = 8*x - 4*x, 5*j = x + 45. Suppose -5*w + j*w - 20 = 0. Let y(r) = r - 125*r**2 + 4*r - 5 + 124*r**2 - r. Calculate y(w). -5 Let l(d) = d - 6. Let p = -110 - -110. Suppose 5*w - w = 2*r, p = 5*r + w. Calculate l(r). -6 Let x(l) = l + 2. Let v(b) = -2*b**2 - 78*b + 80. Let s be v(-40). What is x(s)? 2 Let c be (2/(-4))/(10/40). Let r be ((-2)/c)/((-5)/(-35)). Let z(w) = 2*w**2 - 4 + 5*w - w**2 + 0*w**2 + r. Give z(-5). 3 Let c = -6 + 9. Let p(m) = -c*m + 4*m - 3*m + 3*m. Let z be ((-4)/6)/((-1)/(-9)). Calculate p(z). -6 Let u(d) = -d. Let p be u(4). Let m = 41 - 38. Let k(c) = -2*c - 2*c**2 - c**3 + m*c**3 - 3*c**3 - 2*c**2 - 4. What is k(p)? 4 Let g(p) = 7*p + 5*p - 2*p. Suppose -3*y + 6*y + 3*k = 3, 0 = -2*y - k. Determine g(y). -10 Suppose 3*w = 3*x + 81, -3*w = -2*x + 9 - 85. Suppose 2*h + 2*p = -0*h + w, 0 = -5*h - 2*p + 52. Let l(g) = g**2 - 8*g - 13. Determine l(h). 7 Let r(w) be the third derivative of w**7/840 + w**6/360 - w**5/120 + w**4/8 + 5*w**3/6 - 17*w**2. Let x(o) be the first derivative of r(o). What is x(0)? 3 Let z = 1855 - 1854. Let v(u) = 40*u + 2. Give v(z). 42 Let u(j) = j**3 - 2*j**2 + j. Let z(o) = o**3 + 4*o - 3. Let h(p) = -2*u(p) + z(p). Give h(4). 5 Let q(k) = -2*k**3 - 2*k**2 + 2. Let g be -4 + 4/2 - (-20)/4. Suppose -g*j - 21
{ "pile_set_name": "DM Mathematics" }
? True Is (-4)/(-8)*6 - -50 a composite number? False Let c = 188 - 109. Is c prime? True Suppose -2*f = -6*f. Suppose f = -z - 0*m - 5*m + 72, -4*z = 3*m - 271. Is z composite? False Let j(z) = 11*z - 2. Let p = -7 + 9. Let m be j(p). Is -3 + 2 - m*-1 prime? True Let t be 235 - ((2 - 2) + -3). Suppose -t = -4*o + 830. Is o a composite number? True Suppose -76 = -3*g + 671. Is g a prime number? False Suppose 968 = 4*m - 5*x, -2*x + 0*x = -m + 245. Is m composite? True Let p = -15 + 9. Let f = p + 29. Is f prime? True Let a be (-4)/14 - 654/14. Let p be a/((-2)/12*2). Let s = 304 - p. Is s a prime number? True Let s = 8 + 11. Suppose -s = 2*n + 21. Let a = 89 + n. Is a a composite number? True Let q(b) = 4*b**2 - 3. Let a be q(6). Let f = -99 + a. Is (f/(-2))/(-5 - -4) composite? True Suppose 59 = t + 3*m, 3*m - 215 = -4*t - 2*m. Suppose 5*w = -0*w + t. Is w composite? True Let q be 4/18 + (-119)/9. Suppose -2*c - 28 = -3*c. Let v = q + c. Is v composite? True Is (238/21)/((-2)/(-21)) a prime number? False Let j = -13 - -51. Let b = 23 - j. Let l = 24 - b. Is l a prime number? False Let c = 1 + -7. Let d be 4 + c + 4 + 2. Suppose -d*z = 3*w - 376, -342 = -4*z + 5*w + 66. Is z a composite number? False Let p(z) = 305*z + 2. Is p(1) a composite number? False Let p(i) be the first derivative of 12*i**3 + i**2 - i - 1. Is p(1) prime? True Let f(g) be the first derivative of 41*g**3/3 + g**2 + g + 4. Is f(-2) prime? False Let v = -184 - -310. Let k = v - 7. Is k prime? False Suppose -7*b + 79 = -6*b. Is b prime? True Let y(d) = 5*d**3 - d**2 + 1. Let l be y(1). Suppose -l = 5*a - 35. Suppose 0*x - a = -x. Is x a composite number? True Suppose h - 1 - 2 = 4*g, 12 = g + 4*h. Is 329 + -2*(g + -1) a prime number? True Suppose 3 + 65 = -2*f. Let d be (-8)/20 + f/(-10). Suppose -d*c - 110 = -5*c. Is c a composite number? True Let t = 0 + 3. Suppose 3 - 9 = -t*b. Suppose -s = l - 115, 4*s + 230 = b*l - 0*s. Is l prime? False Let h(x) = 13*x - 3. Let m(i) = -25*i + 5. Suppose -4*t - 1 = 27. Let c(j) = t*h(j) - 4*m(j). Is c(4) composite? False Let h(z) = -4*z**3 + 2*z**2 + 9*z + 3. Let f(c) = 7*c**3 - 5*c**2 - 18*c - 5. Let g(n) = 3*f(n) + 5*h(n). Is g(7) a prime number? False Let n be 2/(-3) + (-64)/12. Let h = n - -12. Is h a prime number? False Let d be (-32)/(-12) + 1/3. Let j(b) = -b**2 - b. Let q be j(-1). Suppose -t + 9 = 4*s - q*t, -4*s - d*t = -3. Is s composite? False Let k be (-8)/56 + (-281)/(-7). Is (-6)/10 - (-1384)/k a composite number? True Suppose 0 = -6*q + 4*q - 2886. Let z be 10/45 + (-17968)/18. Let i = z - q. Is i a composite number? True Let o = -13 - -5. Let z(m) = -m**3 - 8*m**2 + m + 8. Let i be z(o). Suppose 5*f - 7*u + 2*u = 385, 2*u = i. Is f a composite number? True Is (5/3 - 1)*282/4 prime? True Is 7/((-21)/9) - -540 a composite number? True Let m = -7 + 40. Let i = -44 - -50. Is m/i*7*2 a prime number? False Suppose 4 = -3*s + 4*n - 3, -8 = -2*n. Is 70 - ((s - 3) + 3) a composite number? False Is (-1*3)/(3*1/(-359)) composite? False Is 1*(-3 - -4 - 2)*-517 a composite number? True Suppose 5*i + 3*k = 2*k + 25, 3*i = -3*k + 27. Suppose -340 + 36 = -i*j. Let u = j + -54. Is u composite? True Let b(t) = 6*t**2 + 2*t - 21. Is b(8) a composite number? False Suppose -4*a = -2 - 18. Suppose 0 = -4*s + a*s - 4*m - 135, 0 = 3*s + m - 379. Is s a prime number? True Let m = 1 + -3. Let b be m + 0 - (-31 + 1). Suppose -120 + b = -2*c. Is c a composite number? True Let i be 0 - (-10)/(-1 + 0). Let z be ((-25)/i)/(2/4). Suppose -8 + 77 = k + 2*a, -z*a - 25 = 0. Is k a composite number? False Suppose 0 = -w + 5*w - 16. Is 150/w + 2/(-4) composite? False Let f(k) = -10*k - 3. Let w(q) = -q - 1. Let b(j) = -f(j) - 2*w(j). Is b(5) a prime number? False Let o(x) = -x**3 - 7*x**2 + 8*x - 2. Let l be o(-7). Let z = l + 104. Is z prime? False Suppose 4*c + 2*b - 1618 = 0, -b - 1638 = -4*c + b. Is c a prime number? False Suppose 430 = 2*i + 4*x, 7*i - 2*x - 677 = 4*i. Is i prime? True Let x(b) = -4*b**3 - 4*b**2 + 2*b + 1. Let p be ((-3)/2)/(6/16). Let j be x(p). Suppose -j = -3*o - 2*o. Is o prime? True Let b be 1 + (3 - 2)*1. Is 101 + -4 - (b + 1) a composite number? True Let o(p) = 5*p**2 + 15*p - 1. Is o(10) composite? True Let d = -79 + -33. Suppose -3 = 2*u + 51. Let w = u - d. Is w a composite number? True Let u = -6 - -6. Suppose u = -2*q - 3*q. Suppose 0 = -4*y - 4*t + 60, -2*y = -q*y + 3*t - 26. Is y prime? True Let i = -35 - -16. Let k = i + 27. Let p = 13 + k. Is p a prime number? False Suppose b - 444 = -2*b. Let r = b - -59. Suppose -3*i = -0*i - r. Is i composite? True Suppose -17 = -4*i + 5*j, -4 = -0*j + 4*j. Suppose 3*a = -i, 0*c - 2*c + 47 = -a. Suppose -150 = -h - c. Is h a composite number? False Let v(k) = -k + 5. Let t be v(3). Let m = t - 17. Is (-1)/5 - 738/m composite? True Let k = -127 - -308. Is k composite? False Let u(w) = -311*w + 5. Is u(-4) prime? True Suppose -10 = 2*f + 4*c, 0*c + 3*c + 40 = 5*f. Let g(p) = 22*p**3 + p**2 - 2*p + 4. Let u be g(2). Suppose 0 = f*v - u - 85. Is v composite? False Let b(o) = o**3 + 2. Let q be b(4). Let c(u) = -u**2 - 3*u. Let w be c(-2). Suppose -q = -5*r + w*r. Is r prime? False Suppose 0*x = -3*x + 18. Suppose -575 = q - x*q. Is q a prime number? False Let w(i) = 5*i - 1. Let b be w(2). Let l = -15 + b. Is (-281)/l - (-2)/12 composite? False Is (-34)/(0 - 2/29) prime? False Let z = 10 - 5. Let q be z/2*(-6)/(-3). Suppose 3*w - 12 - 22 = -n, 0 = w - q. Is n prime? True Let f(p) = 3*p**3 + 3*p**2 + 2*p - 1. Let g be f(3). Suppose g = 4*a + 5*j - 170, 0 = 3*a + 4*j - 211. Is a a prime number? False Let t(o) = -o + 2. Let b be t(-2). Suppose 0*p + b*p = -32. Is (148/p)/((-2)/4) composite? False Let a be 4/10 - (-1828)/5. Let g = a + -157. Suppose 4*n = 3*n + g. Is n a composite number? True Suppose v - n = 70, -v - v + 134 = 4*n. Let r = -2 + 5. Suppose 5*z - v = -5*f + 2*z, 2*z + 49 = r*f. Is f composite? True Let q(o) = 968*o**2 + 3*o + 2. Is q(-1) prime? True Let g(f) = 77*f**2 + 2*f + 1. Let j be g(-1). Let r = j - 42. Is r prime? False Let s(c) = 409*c**2 - c - 1. Is s(-1) composite? False Let o be 12 - (-3)/((-9)/6). Let z = o - -43. Is z a composite number? False Let u(m) = m**3 + m. Let x(w) = -20*w**3 - w**2 - 2*w + 1. Let o(l) = -4*u(l) - x(l). Is o(2) prime? True Suppose 3*x - 1142 = x. Is x a prime number? True Is ((-2)/(-5)*83)/((-2)/(-10)) prime? False Let d(r) = -318*r**3 + r**2 + r - 3. Is d(-2) prime? True Let l = 35 + -25. Let u be 2*(-1)/(-4)*l. Let d(i) = -i**3 + 7*i**2 - 5*i - 6. Is d(u) composite? False Suppose 6 = -2*r, 4*d - r + 218 = r. Let j = 91 + d. Is j prime? False Let f(d) = 7*d**3 + d**2 - d - 1. Let c(n) = -15*n**3 - n**2 + 2*n + 3. Let p(t) = -6*c(t) - 13*f(t). Let q be p(-7). Is q/(-3)*43/4 prime? True Let a = 12 - 7. Suppose -395 = -a*s + 50. Is s composite? False Suppose -4845 = -2*k - 13257. Is k/(-9) + (-2)/6 a prime number? True Suppose a - 49 = -2*m + 2, 3*m = 12. Suppose -2*g + g = -a. Is g composite? False Let f = 2 - 7. Let a(z) = -8*z + 7. Is a(f) a prime number? True Suppose 2*q + 4*a = 76, 4*q - 6*q + 76 = a. Suppose 5*c + 57 = 3*x, -q = -x - x - 3*c. Is x composite? False Is ((-131)/2)/((-7)/14) a prime number? True Suppose 0 = 3*o + 4 + 50. Is -4*(2 - o/(-4)) a composite number? True Suppose 13*v = 6*v + 8057. Is v a composite number? False Suppose -241 = -3*v + 5*k - 0, -3*k + 99 = v. Is v prime? False Suppose 5*i - 376 = 7879. Is i prime? False Let n = -1 + 2. Let v be 1/((n/(-30))/(-1)). Suppose -4*f + 150 = 4*m - v, 2*f - 84 = m. Is f a prime number? True Let i = 15 - -156. Let z = i - 121. Suppose -w + z = w. Is w composite? True Let s be 6*((-3)/(-6) - 0). Suppose s*v + 5 = -55. Let z = v - -33. Is z a prime number? True Let t(m) = -60*m - 2. Let n be t(-3). Suppose 3*h - n = -5*y + 130, 0 = -3*y - 2*h + 185. Let l = 98 - y. Is l a prime number? True Is -1*(2 - 5 - 1006) a prime number? True Suppose -b = -2*j + 44, -4*j - 47 + 131 = -b. Suppose s = 4*l + 40, 2*l - 4*s = -0*s - j. Is 6/l + (-648)/(-30) a prime number? False Let q(a) = -194*a - 7. Is q(-6) a composite number? True Suppose 0 = v - 1 - 2. Let k(b) = 0*b - b**2 + v - 5*b + 4. Is k(-5) a composite number? False Suppose 0 = 2*n - 3*n - 3*p - 10, -p - 12 = -4*n. Suppo
{ "pile_set_name": "DM Mathematics" }
hen 215 is divided by 48. 23 What is the remainder when 2540 is divided by 170? 160 What is the remainder when 322 is divided by 100? 22 What is the remainder when 150 is divided by 52? 46 What is the remainder when 346 is divided by 175? 171 Calculate the remainder when 717 is divided by 30. 27 Calculate the remainder when 195 is divided by 35. 20 Calculate the remainder when 7394 is divided by 17. 16 What is the remainder when 305 is divided by 66? 41 What is the remainder when 2197 is divided by 50? 47 Calculate the remainder when 2952 is divided by 7. 5 Calculate the remainder when 845 is divided by 35. 5 What is the remainder when 79 is divided by 10? 9 Calculate the remainder when 220 is divided by 12. 4 Calculate the remainder when 1156 is divided by 376. 28 What is the remainder when 874 is divided by 52? 42 Calculate the remainder when 495 is divided by 24. 15 What is the remainder when 274 is divided by 25? 24 Calculate the remainder when 871 is divided by 38. 35 What is the remainder when 137 is divided by 126? 11 Calculate the remainder when 26 is divided by 25. 1 What is the remainder when 211 is divided by 63? 22 Calculate the remainder when 52 is divided by 18. 16 Calculate the remainder when 621 is divided by 53. 38 Calculate the remainder when 1719 is divided by 20. 19 Calculate the remainder when 14 is divided by 8. 6 Calculate the remainder when 3596 is divided by 16. 12 What is the remainder when 610 is divided by 124? 114 What is the remainder when 167 is divided by 56? 55 What is the remainder when 263 is divided by 24? 23 Calculate the remainder when 1423 is divided by 110. 103 What is the remainder when 4 is divided by 1? 0 What is the remainder when 51 is divided by 30? 21 What is the remainder when 1122 is divided by 86? 4 Calculate the remainder when 752 is divided by 13. 11 Calculate the remainder when 662 is divided by 328. 6 Calculate the remainder when 158 is divided by 50. 8 What is the remainder when 819 is divided by 82? 81 Calculate the remainder when 266 is divided by 10. 6 What is the remainder when 39 is divided by 10? 9 Calculate the remainder when 2708 is divided by 129. 128 What is the remainder when 380 is divided by 8? 4 Calculate the remainder when 1413 is divided by 43. 37 What is the remainder when 939 is divided by 24? 3 What is the remainder when 8 is divided by 6? 2 Calculate the remainder when 1588 is divided by 10. 8 Calculate the remainder when 28 is divided by 27. 1 What is the remainder when 316 is divided by 17? 10 What is the remainder when 580 is divided by 8? 4 Calculate the remainder when 303 is divided by 4. 3 What is the remainder when 1133 is divided by 10? 3 What is the remainder when 89 is divided by 9? 8 What is the remainder when 163 is divided by 60? 43 What is the remainder when 42990 is divided by 74? 70 What is the remainder when 924 is divided by 31? 25 What is the remainder when 303 is divided by 18? 15 Calculate the remainder when 34 is divided by 15. 4 What is the remainder when 313 is divided by 155? 3 What is the remainder when 80 is divided by 29? 22 What is the remainder when 952 is divided by 208? 120 Calculate the remainder when 3700 is divided by 616. 4 Calculate the remainder when 2043 is divided by 89. 85 What is the remainder when 7273 is divided by 107? 104 What is the remainder when 100 is divided by 40? 20 Calculate the remainder when 5301 is divided by 136. 133 What is the remainder when 518 is divided by 242? 34 What is the remainder when 310 is divided by 26? 24 What is the remainder when 362 is divided by 123? 116 Calculate the remainder when 7725 is divided by 92. 89 Calculate the remainder when 10316 is divided by 19. 18 Calculate the remainder when 746 is divided by 48. 26 What is the remainder when 306 is divided by 2? 0 Calculate the remainder when 4565 is divided by 2280. 5 What is the remainder when 9707 is divided by 39? 35 Calculate the remainder when 121 is divided by 38. 7 What is the remainder when 435 is divided by 11? 6 Calculate the remainder when 350 is divided by 15. 5 What is the remainder when 174 is divided by 91? 83 Calculate the remainder when 51 is divided by 15. 6 Calculate the remainder when 222 is divided by 18. 6 What is the remainder when 2165 is divided by 539? 9 What is the remainder when 328 is divided by 54? 4 What is the remainder when 246 is divided by 62? 60 Calculate the remainder when 225 is divided by 69. 18 Calculate the remainder when 6737 is divided by 2240. 17 What is the remainder when 5079 is divided by 121? 118 Calculate the remainder when 281 is divided by 56. 1 What is the remainder when 1853 is divided by 25? 3 What is the remainder when 392 is divided by 106? 74 What is the remainder when 207 is divided by 10? 7 What is the remainder when 707 is divided by 71? 68 Calculate the remainder when 549 is divided by 44. 21 What is the remainder when 212 is divided by 40? 12 What is the remainder when 97 is divided by 42? 13 Calculate the remainder when 2635 is divided by 1311. 13 What is the remainder when 271 is divided by 98? 75 Calculate the remainder when 1616 is divided by 33. 32 Calculate the remainder when 375 is divided by 76. 71 Calculate the remainder when 1167 is divided by 90. 87 What is the remainder when 217 is divided by 84? 49 Calculate the remainder when 355 is divided by 66. 25 Calculate the remainder when 94 is divided by 34. 26 What is the remainder when 217 is divided by 130? 87 What is the remainder when 642 is divided by 193? 63 What is the remainder when 345 is divided by 66? 15 Calculate the remainder when 2412 is divided by 34. 32 Calculate the remainder when 3173 is divided by 88. 5 What is the remainder when 74 is divided by 28? 18 Calculate the remainder when 92 is divided by 7. 1 Calculate the remainder when 6517 is divided by 2164. 25 What is the remainder when 2079 is divided by 2072? 7 What is the remainder when 4707 is divided by 941? 2 Calculate the remainder when 793 is divided by 114. 109 What is the remainder when 416 is divided by 60? 56 Calculate the remainder when 308 is divided by 12. 8 Calculate the remainder when 452 is divided by 106. 28 Calculate the remainder when 1752 is divided by 51. 18 What is the remainder when 68 is divided by 42? 26 Calculate the remainder when 103 is divided by 22. 15 What is the remainder when 3005 is divided by 16? 13 What is the remainder when 765 is divided by 254? 3 What is the remainder when 6732 is divided by 15? 12 What is the remainder when 386 is divided by 43? 42 Calculate the remainder when 40 is divided by 11. 7 What is the remainder when 428 is divided by 212? 4 Calculate the remainder when 1533 is divided by 32. 29 What is the remainder when 215 is divided by 20? 15 Calculate the remainder when 1985 is divided by 84. 53 Calculate the remainder when 183 is divided by 31. 28 Calculate the remainder when 4712 is divided by 41. 38 What is the remainder when 42165 is divided by 21? 18 Calculate the remainder when 25 is divided by 2. 1 What is the remainder when 9017 is divided by 164? 161 What is the remainder when 122 is divided by 119? 3 Calculate the remainder when 49 is divided by 20. 9 Calculate the remainder when 164 is divided by 97. 67 Calculate the remainder when 644 is divided by 57. 17 What is the remainder when 1113 is divided by 6? 3 Calculate the remainder when 1019 is divided by 15. 14 What is the remainder when 4139 is divided by 9? 8 Calculate the remainder when 1735 is divided by 15. 10 Calculate the remainder when 178 is divided by 20. 18 Calculate the remainder when 276 is divided by 57. 48 Calculate the remainder when 4074 is divided by 506. 26 Calculate the remainder when 186 is divided by 11. 10 What is the remainder when 309 is divided by 24? 21 What is the remainder when 3786 is divided by 9? 6 What is the remainder when 2284 is divided by 104? 100 Calculate the remainder when 193 is divided by 47. 5 Calculate the remainder when 183 is divided by 64. 55 What is the remainder when 140 is divided by 11? 8 Calculate the remainder when 604 is divided by 19. 15 Calculate the remainder when 194 is divided by 49. 47 What is the remainder when 73 is divided by 71? 2 Calculate the remainder when 246 is divided b
{ "pile_set_name": "DM Mathematics" }
*i = -p - 3, 4*p - 3 = -i. Let m = 15 + -7. Let h = i + m. Solve 0 = -u + h*u + 2 for u. -1 Suppose 18 = 4*d - 10*d. Let y be -4 - (d - 1) - (-3 - 20). Suppose -8*n + 1 = -y. Solve -n*f + 13 = 1 for f. 4 Let p be ((-12)/(-14))/(30/140). Suppose -a + 15 = p*s, -2*s = 4*a + 2*s - 24. Suppose 0 = w - 0*w + 2*t - 7, 3*t + 35 = 5*w. Solve -w*b = -a*b for b. 0 Let o(h) = h**3 + 13*h**2 + 3*h - 1. Let w be o(-3). Suppose -107*s + w = -91*s. Solve -s*i = -i for i. 0 Let m = 254 - 192. Let n = 74 - m. Suppose 3*c - 2*h = 19, 20 = 5*c + 4*h + 3. Solve n = f - c*f for f. -3 Let t(y) = -y**3 + 3*y**2 + 25*y - 1. Let d be t(6). Solve 21 = 4*p + d for p. -5 Let q be 0*6/(-31 + 7). Let p be (-135)/54*(1*-2 + q). Solve -4*x - p*x = -x for x. 0 Suppose -4*o - 5 - 3 = -2*b, -b - 5*o + 4 = 0. Suppose 158 = 4*m - 34. Let t = 51 - m. Solve -b = s - t*s for s. 2 Suppose 0 = -2*q + 207 + 831. Suppose -525*t = -q*t. Solve t = r + 3*r + 12 for r. -3 Let b be (-2663 - -3)/20*-1. Solve 6*s + b = -13*s for s. -7 Suppose 10*d = -90 + 150. Solve 9 + d = -3*u for u. -5 Suppose 4*f + h = 5*f - 15, -2*h = 0. Suppose -14*x + 111 = -f. Solve 4*p - 3 = x for p. 3 Suppose 19515 + 3533 = 43*x. Solve 535*v = x*v + 3 for v. -3 Suppose -4*s + 2*t = -90, -s + 4*t + 602 = 562. Suppose 5*a - 24 = -0*h - h, 5*h = 4*a + 62. Solve -h*o + 9*o - s = 0 for o. -4 Let a = 99 - 95. Suppose -a*z = -6*z + 4*z. Solve -8*k - 4 + 12 = z for k. 1 Let k(w) = w**3 + 13*w**2 + 34 + 11*w**2 - 109*w + 3*w**2 + 52*w. Let r be k(-29). Let l be 9/6*4/6. Solve -2*y - r = -l for y. -2 Let m be 0 + (5 - -1 - 3). Suppose n - 5*n = 4*t - 140, -2*t - m*n = -68. Let w = 40 - t. Solve -w*r - 3 = -0*r for r. -1 Suppose -228*t = -249*t + 105. Solve -t = 8*z - 37 for z. 4 Let x be (-2 - 12)*(-2)/5*15/12. Solve -x*m - 70 = -35 for m. -5 Let k(a) = -a**2 - 14*a - 30. Let p be k(-11). Let h be 5/((-4)/(-16)*(-4)/(-7)). Let f = -34 + h. Solve 0 = p*x + 8 + f for x. -3 Suppose 10*j + 116 - 446 = -0*j. Solve -j*z + 35 = -38*z for z. -7 Let v = -732 + 731. Let w(o) = 3*o**2 + 2*o + 3. Let t be w(v). Solve 3 = t*m - 7*m for m. -1 Let u = 6312 + -5535. Solve 783*b - 48 = u*b for b. 8 Let m be (-32)/48*(-6)/1. Suppose 4*o - 18 = 150. Let w = o - 36. Solve p - w = m*p for p. -2 Let l(a) = -a**2 + 23*a - 90. Suppose 6*t - 70 = -8*t. Let r be l(t). Solve 6*m - 20 + 8 = r for m. 2 Let z be 2/6 + -4 + (-60)/(-9). Suppose -9*a + 21 = 3*j - 6*a, a - 2 = 0. Solve -j*n - z = -2*n for n. -1 Let v = -630 + 689. Solve 22*u + 7 = -v for u. -3 Let z(t) = 2*t**3 + 34*t**2 - 19*t - 299. Let b be z(-17). Solve 39*y - b = 35*y for y. 6 Let f be (-358)/(-15) - 28/(-294)*(-7)/(-5). Solve 3*b + f*b + 108 = 0 for b. -4 Suppose -78*b + 1519 = -1991. Solve -42 + b = -i for i. -3 Let t be 290/(-35) + (-4)/(-14). Let n = 11 + t. Let b(w) = 7*w - 24. Let o be b(4). Solve 0 = -n*g + o*g for g. 0 Let v(b) = -b + 13. Let z be v(13). Suppose 9*x - 2*x = -z*x. Let w be -2*(-1)/(-4)*(x + -4). Solve -a - w + 6 = 0 for a. 4 Suppose 4*c - 2 - 2 = 0, w = 3*c + 2. Suppose -w*x = -x - 5*x. Solve x*g + 5 = 5*g for g. 1 Let g be (-2)/8 + 187/44. Suppose -5 = -5*w, -4*w = 3*y - 21 - g. Solve 2*q = y*q + 25 for q. -5 Let r be (-20660)/(-300) - (-4)/(-30)*-1. Solve -3*d + r - 81 = 0 for d. -4 Suppose -6*m - 220 = -322. Solve 0 = 7*r - m*r + 50 for r. 5 Let l(h) = h**2 - 196*h + 1323. Let z be l(7). Solve 20*m + 136 - 16 = z for m. -6 Suppose 55*y + 25*y = 7*y + 511. Solve y*w + 671 = 664 for w. -1 Suppose -2*z - 304 + 122 = 0. Let g be (-1)/1 - z/13. Solve 3 = -3*l - g for l. -3 Suppose -536*c + 51 = -539*c - 17*j, -2*c + 3 = -j. Suppose -l = 3*l - 56. Let d be 15*(l/6 - 2). Solve c = -f - 0 + d for f. 5 Suppose 25 = 4*q - 19. Suppose -2*a + q = -r, a - r - 1 = r. Suppose 2*k - 4*h + 5 + a = 0, 4*k + 9 = 5*h. Solve b = -b - k for b. -2 Suppose 767 - 803 = -3*y. Solve -368*l + 366*l = y for l. -6 Suppose -11*i = -13*i + 4. Suppose 2*s + 8 = 5*m - 4*m, 0 = -5*m + i*s + 32. Solve m*q = 8*q for q. 0 Let a(b) = -3*b**3 - 7*b**2 - 31*b - 10. Let u be a(-4). Solve 0 = -36*w + u - 14 for w. 5 Suppose 139*x - 1636 = -803 + 1113. Solve x*v + 87 = 3 for v. -6 Suppose -254*k + 253*k = -3. Suppose -t + 17 = p + 4*p, t + 2*p - 8 = 0. Solve k = s + t for s. 1 Let j be 5/10*-3*2 + 3. Suppose j = 4*r + 5*w - 23, -5*r - 4*w = -4*r - 14. Solve r*b + 0 - 4 = 0 for b. 2 Suppose 352 = -l - u, 2*l = 3*u - 560 - 129. Let j = l - -353. Solve -4*d + 16 = j*d for d. 2 Let p be 24/84 - 1*234/(-14). Let w be 14 - p - 15/(-1). Solve -i - w = -7 for i. -5 Suppose -891 = -12*v + v. Let h = v + -74. Solve u - h = -2 for u. 5 Suppose 0 = 5*v + 4*f - 1301, -256 = -v + 29*f - 34*f. Solve -274*j + v*j = -26 for j. 2 Suppose 4*q = 2*c - 2, 5*c + 2*q = 4*c - 15. Let x be 2 + 16/c - (-296)/56. Solve -x*b + 5 = -5 for b. 2 Let w(k) = 2*k**3 + 22*k**2 + 46*k + 11. Let n be w(-7). Solve -39 = -24*h + n for h. 5 Suppose 17 = -u + 5*f, -2*f + 13 = 2*u - 13. Let v(m) = 4*m + 325. Let y(x) = x + 166. Let s(i) = 3*v(i) - 5*y(i). Let b be s(-20). Solve 3 = -b*g + u for g. 1 Suppose 2*n + 2*w = 866, -69*n + 2*w = -74*n + 2162. Let z = n - 427. Solve -z + 6 = q for q. 1 Let k(s) = s**3 + 53*s**2 + 679*s - 37. Let y be k(-31). Solve 4 - 60 = y*u for u. -1 Let o be 9/(-3) + 1 + -8. Let b be (532/(-8))/((-5)/o). Let v = 137 + b. Solve -v*u = -u for u. 0 Let o(z) = -3*z**2 + 6*z + 4. Let a be o(-1). Let p be 3 - (-1 - ((-15)/a + -3)). Solve 2*i - p*i + 2 = 0 for i. 1 Let i(u) = u - 31. Let r be i(43). Solve r*x - 13*x + 4 = 0 for x. 4 Let s(b) = -b**2 + 29*b + 156. Let r be s(32). Solve r = 21*o - 11*o for o. 6 Let j be (3 - 12/(-8)) + 1/(-2). Suppose -i = -4*h - 5*i + 24, j*i = -h + 12. Solve -h*x + 6 = -x for x. 2 Let l(d) = -d - 2. Let t be l(-2). Let k(j) = -j**2 - 2*j + 11. Suppose -8*b - 21 = 11. Let x be k(b). Solve t*g - 9 = x*g for g. -3 Let l = 398 - 356. Solve 21*t - l*t = 168 for t. -8 Let v = -30208 + 30248. Solve 0 = v*i - 33 + 33 for i. 0 Let t(x) = 9*x + 639. Let v be t(-69). Solve 21*j = 18*j - v for j. -6 Let r(f) = -f**3 + 8*f**2 + 4*f - 15. Let n be r(-5). Let i = 301 - n. Solve i*h + 50 - 6 = 0 for h. -4 Suppose -v = m - 3, 28 = 4*m + 32. Suppose 4*b + 26 = n, -v*n - 6*b + 9*b + 91 = 0. Solve -n*y - 1 = -21*y for y. -1 Let r(b) = b**3 + 20*b**2 - 35*b - 46. Let d(k) = k**3 + 19*k**2 - 36*k - 47. Let y(u) = 4*d(u) - 3*r(u). Let q be y(-18). Solve q*w - 3*w + 1 = 0 for w. -1 Suppose -6 = -3*v + 6. Let n be -11 - -7 - 1 - -14. Let j be (n/6)/((-3)/(-10) + 0). Solve j = -o - v*o for o. -1 Let c = 1841 - 1838. Let g = 28 + -28. Let a(x) = 3*x - 3. Let u be a(6). Solve c*o - u = -g*o for o. 5 Let o(h) = 2*h**2 + 7*h - 52. Let l be o(4). Suppose -3*i = -7*i + l. Solve 1 + 7 = -i*r for r. -4 Suppose -7*p - 153 = -566. Let x = -11 + -43. Let c = x + p. Solve c*j - 2*j = -3 for j. -1 Let p be ((-8)/(-10) + (-280)/(-25))*4/12. Let x = 7 + -14. Let u = x + 7. Solve -5*n - 14 + p = u for n. -2 Let q be -15*1*(-2)/5. Suppose 5*l + 4*v - 23 = 0, -5*l + 33 = 2*v + 14. Solve l*b - q*b + 3 = 0 for b. 1 Let s = 6491 + -6441. Solve -23*c + s = -42 for c. 4 Let i(f) = -f**2 + 6*f - 5. Let t be i(1). Suppose -k - 3*x + 21 - 7 = t, -3*x = 0. Solve -l = k - 9 for l. -5 Let g(v) = -v**2 + 10*v - 7. Let a be g(9). Suppose 0*y - a*y = 0. Let q = -3667 - -3690. Solve -5*d - q + 3 = y for d. -4 Suppose 5*q = k + 5 - 9, 2*k - 41 = -q. Suppose 22*v = k*v + 12. Solve -v*s = -0*s for s. 0 Let f = 125 + -121. Suppose -7*l = -4 + f. Suppose -3*g - 8 = -5*g. Solve g*t + l*t - 8 = 0 for t. 2 Let i be (-8)/(-10)*(-22 - 1127/(-46)). Suppose 4*h - m + 3*m = 8, 0 = -3*m. Solve 0 = 4*y - h - i for y. 1 Let t(o) = -o**3 - 6*o**2 + 7*o + 6. Suppose 4*f + 188 = 68. Let u be 6/12 - f/(-4). Let i be t(u). Solve 5*g - i = 9 for g. 3 Let p = 3280 + -3276. Solve 0 = -8*a + p + 12 for a. 2 Let h be (-2)/(((-40)/(-48))/((-5)/(-4))). Let v = 13 + h. Suppose m - 3*d = v, 5*m + d - 105 = 5*d. Solve 0*i = -5*i + m for i. 5 Suppose 4*h = 3*a - 355, -23*a - h = -20*a - 365. Let z = -46 + -73. Let d = z + a. Solve -13 = -d*g - 3 for g. 5 Suppose -4*a + 0 - 16 = 0. Let l be 11 - a/(-6)*(-27)/(-6). Let f be l - 3 - (-8 - -8). Solve s + 2 = f for s. 3 Suppose 16 = 4*j - f, -2*j - 5*f - 4 = 10. Let a be 6/(-1*(-6)/j). Solve -9*i = -a*i + 6 for i. -1 Let t(d) = -4
{ "pile_set_name": "DM Mathematics" }
the third derivative of 3/8*y**d + 1/60*y**5 - 6*y**2 + 0 + y**3 + 0*y. Give l(-6). -12 Let p(d) be the first derivative of -d**2/2 - d - 13. Determine p(-5). 4 Let h be ((-20)/25)/(4/30). Let x(u) = -8*u + 49 - 23 - 7*u**2 - u**3 - 28. Determine x(h). 10 Let n(k) = -2*k - 6. Let y = -77 - -43. Let o be 1/((-5)/y) - (-36)/(-45). Calculate n(o). -18 Let a(x) = 1 + 28*x**2 + x**3 + 4*x - 23*x**2 - 11*x**2. Give a(4). -15 Suppose 13 = -3*r - 2, 3*a = -5*r + 11. Let f(i) = i**3 - 11*i**2 - 13*i + 15. Give f(a). 3 Let i(j) be the first derivative of 4*j**3/3 + 2*j**2 - 6. Let z(y) = -5*y**2 - 3*y - 1. Let f(n) = -4*i(n) - 3*z(n). What is f(-6)? 9 Let j(f) = -f**2 - 3*f - 4. Suppose 545*p - 20 = 549*p. Give j(p). -14 Let g(z) be the second derivative of 1/12*z**4 - 35*z + 0 + 3/2*z**3 + 2*z**2. Give g(-7). -10 Suppose 5*s - 3 - 12 = 0. Let l(n) = s*n + 0*n**2 - n**2 - 5*n + 7. Let w(r) = r**2 - 10*r - 205. Let g be w(20). Determine l(g). -8 Let g be (-52)/(-4)*2/2. Let f be 2/3 - g/(-3). Let m(l) be the third derivative of -l**6/120 + l**5/12 + l**4/24 + 89*l**2. Give m(f). 5 Let u(j) be the third derivative of 3*j**2 - 1/6*j**3 + 1/24*j**4 + 0 + 0*j. Let l(x) = x**3 + 5*x**2 + 2*x - 5. Let i be l(-4). What is u(i)? 2 Let a(j) be the first derivative of 2*j**3/3 - j**2/2 - 6*j - 349. Determine a(5). 39 Let g(i) = 2 + i - 365*i**2 + 364*i**2 - 2*i. Calculate g(0). 2 Suppose -3 = -0*i + 3*i. Let t(v) be the first derivative of 5*v**2/2 + v - 2. Calculate t(i). -4 Let b = 75 + -73. Suppose -6*v + 15 = u - 4*v, -4*u + 10 = -b*v. Let i(q) = -q + 4. What is i(u)? -1 Let f = 837 + -842. Let x(p) = p**3 + 3*p**2 - 7*p. Determine x(f). -15 Let c(t) = -t + 6. Suppose -5 + 2 = -x. Suppose x*m - 3 - 6 = 0. Calculate c(m). 3 Let t(b) = 5*b + 13. Let x be t(-4). Let l(s) = -s**2 - 8*s + 10. Let c(n) = -n**2 - 8*n + 11. Let a(y) = -2*c(y) + 3*l(y). Calculate a(x). 15 Let t(w) = w**2 - 2*w - 2. Let l(d) = d**3 - 10*d + 1. Let a be l(-3). Give t(a). 6 Let i(s) = -9 - 1 + 27 - s**2 - 10. Determine i(-8). -57 Suppose 0 = 3*x - 0 + 6. Let w be ((-5)/(20/24))/x. Suppose 4*v = -2*y + 18, -w*y = -2*v - 2*y + 11. Let g(q) = -q**2 + 4*q + 6. Calculate g(v). 1 Let m(n) = n**2 + 15*n - 27. Let o = -204 + 188. Determine m(o). -11 Let g(r) = r + 5. Let c = -7 - -5. Let v be -6*1/c*2. Determine g(v). 11 Let d = -4397 + 4396. Let q(v) be the third derivative of v**4/2 - v**3/6 + 2*v**2. Determine q(d). -13 Let h(m) be the third derivative of m**6/120 + m**5/12 - m**4/3 - 4*m**3/3 - m**2 - 5*m. Calculate h(-6). 4 Let v(o) = -1091*o**3 + 2*o**2 - 2 - 5 + 549*o**3 + 3 - 4*o + 543*o**3. Let n(a) = -a**2 + 3*a + 1. Let b be n(4). Determine v(b). -1 Let m = 3 - 0. Let i(a) = 2*a**2 - 4*a + 6. Let f(l) = -3*l**2 + 7*l - 13. Let v(s) = m*f(s) + 5*i(s). Let o = -15 + 15. Determine v(o). -9 Let j(s) be the first derivative of -s**3/3 + 2*s**2 - 18. Determine j(5). -5 Let f(k) = -33 - 9*k + 5*k + k - 2*k + 3*k. What is f(-14)? -5 Suppose -384*r = -352*r. Let v(w) = -2*w - 6 + 3*w + 0*w. Calculate v(r). -6 Suppose -25 = -7*n + 12*n. Let c(m) = 4*m + 25. Let j be c(n). Let u(p) = p**3 - 4*p**2 - 6*p + 4. Calculate u(j). -1 Let n(x) be the second derivative of x**5/5 - x**4/6 + x**3/6 + 3*x. Let l be ((-3)/1 - -1)/(-11 - -9). Determine n(l). 3 Let p(b) = b - 2. Let x be p(9). Let f(n) = -n**3 + n + x + 0 + 7. Give f(0). 14 Suppose 0*p + 2*m = -2*p + 98, 2*p + 4*m - 98 = 0. Let q be (-14)/p - (-200)/14. Suppose -10*h - 4 = -q*h. Let s(t) = 4*t**2 - t. Determine s(h). 3 Let r(f) = 5*f + 23. Let k = -566 - -560. Give r(k). -7 Suppose 3*c = 6*c - 18. Let f be ((-4)/6)/(c/(-9)). Let q(k) = f + 0*k + 4*k - 2*k. Determine q(-4). -7 Let j be 2 + 0 + 0 + 1. Let r(m) = 6*m + 12 - j*m - 13. Calculate r(2). 5 Let q(t) be the third derivative of -t**4/24 - 3*t**3/2 - t**2. Calculate q(-3). -6 Let t(n) = 2*n + 4. Let w be (40/(-30) + 8)*6/4. What is t(w)? 24 Let b(p) = p**3 + 4*p**2 - 3*p + 3. Suppose -5*s - 5*y = 20, 5*s - 5*y = -2*y - 28. Give b(s). -7 Let y(n) = 42*n**3 + 5 - n**2 + n - 128*n**3 + 38*n**3 + 47*n**3. Let u(i) = i + 2. Let o be u(-2). Calculate y(o). 5 Let q(a) = 1. Let p(k) = 2*k - 2. Let x(c) = -p(c) - 5*q(c). Let s be ((-8)/(-6))/((-2)/(-3)). Suppose h - s = -4. Determine x(h). 1 Suppose a - 2*l = 7 + 6, 0 = -a - 3*l - 12. Let i be -1*((-1)/a - (-8)/(-3)). Let h(n) = -n + 7. What is h(i)? 4 Let f(q) = -q - 2*q + 6*q - 4*q. Suppose 0*t + 24 = 4*t. Suppose -1 = t*s - 7*s. What is f(s)? -1 Let x be (-6)/3 - 36/(-9). Let t = 5 - x. Let m(l) = l + 1 - 3*l + l. Calculate m(t). -2 Let b(v) = 6*v + 5. Let r be b(0). Let z(g) = g - 9. Let h(m) = -2*m + 17. Let q(x) = r*z(x) + 3*h(x). Let k = 1 - -4. Give q(k). 1 Let g(a) be the first derivative of -a**4/4 - 8*a**3/3 + 7*a**2/2 - 10*a - 6. Let d(o) = 2*o**2 - 23*o + 36. Let y be d(9). Give g(y). 8 Suppose -2*j + 22 = 3*g, g + g = 5*j - 17. Suppose h + g*h - 25 = 0. Let u(r) be the second derivative of -r**5/20 + 5*r**4/12 - r**3/3 + r. Calculate u(h). -10 Let j(l) = 7*l**3 - l + 1. Suppose 4*a + 1 = 5, 0 = -2*y - 5*a - 15. Let w be y/45 - ((-38)/9 + 3). Give j(w). 7 Let w(z) = -z**2 + 6*z + 6. Suppose 0 = 39*f - 42*f + 12. Suppose 6*l - f - 44 = 0. Give w(l). -10 Let f(m) = 12*m - 6. Suppose -i + 0*q = -3*q + 17, -15 = -i - 5*q. Calculate f(i). -66 Let i be -1 - (-4 - (1 + -2)). Let o(c) = -72*c**2 + 2 + 3*c + 3*c**3 - i*c**3 + 73*c**2. Determine o(-2). -8 Let i be -3*2/(-20) + (-35939)/4330. Let v(n) = n - 18. Calculate v(i). -26 Let g(n) = 13*n - 32. Let i(o) = 6*o - 15. Let k(l) = -2*g(l) + 5*i(l). Determine k(8). 21 Suppose -15 = -2*n - 3*n. Suppose -6*c - 5 - 19 = 0. Let u(v) = v**2 - 6*v + 3. Let o(z) = 2*z**2 - 12*z + 5. Let l(r) = c*o(r) + 7*u(r). What is l(n)? 10 Let c(v) = -v**2 - 7*v. Let q = 109 - 78. Let f = 25 - q. What is c(f)? 6 Suppose -f + 0 = -1, -2*f = 3*r + 7. Let w(y) be the third derivative of y**4/8 + y**3/3 - 53*y**2 - 11. Give w(r). -7 Let o(w) = 2*w**2 + 7*w - 9. Let j = 352 - 357. Give o(j). 6 Suppose 54 + 216 = -45*y. Let b(v) = v**2 + 9*v + 16. Give b(y). -2 Suppose -12*d - 3122 + 3158 = 0. Let u(t) = -11*t + 27. Give u(d). -6 Let w be ((-8)/(-6))/(26/117). Suppose 30 = l - w*l. Let c(s) = 5*s + 7. Let t(b) = 4*b + 6. Let h(d) = l*t(d) + 5*c(d). Determine h(8). 7 Let f = 2 - -1. Let t(d) = -d - 11. Let n(h) be the second derivative of -h**3/6 - 11*h**2/2 - 18*h. Let p(a) = f*t(a) - 2*n(a). What is p(-7)? -4 Let w = -4 - -9. Let l(t) = -5*t - w*t + 8*t. Let x(n) = -n + 8. Let k be x(6). Give l(k). -4 Let h(g) = -g**3 - 5*g**2 - 2*g + 1. Suppose 35*m - 32*m + 84 = 0. Let v = 24 + m. What is h(v)? -7 Let y be (32*-1)/(-4) - 2. Suppose -2*i = -y - 2. Let s(n) = -2*n + 6. What is s(i)? -2 Let u be 2/3*18*(-1)/(-4). Let h(s) = s**u + 14 + 2*s**2 + 3*s - 18 - 6*s**2 - s. Determine h(3). -7 Let w be 1 - (-1 - -2 - 1). Let n(q) = 102 + q - 2*q + 102 + 102 + 6*q**2 - 305. Calculate n(w). 6 Suppose 0 = j - 5*j + 8. Let z(d) = -2*d + 3. Let g be z(j). Let u(k) = 3*k. Determine u(g). -3 Let m(w) = w**3 - 7*w**2 + w - 3. Let d be m(7). Let t(u) = u - 2. Let q(s) = -1. Let n(a) = d*t(a) - 10*q(a). Give n(-4). -14 Let p(l) be the first derivative of -l**2/2 + 3*l + 2. Let d be p(3). Let v(c) = 3 - 4*c + d*c - c - c**2 + 8*c. Calculate v(4). -1 Let i(h) = -h**2 - 2*h + 1. Let y(k) = k**3 - 2*k + 19. Let x(b) = -i(b) + y(b). Determine x(0). 18 Let a(s) = -3*s**2 - 12*s + 2. Let c(w) = -7*w**2 - 29*w + 5. Let l(h) = 9*a(h) - 4*c(h). Give l(-7). -9 Let q(a) = -6 - 3*a + 18*a - 7*a - 5*a. Calculate q(4). 6 Let v(s) = -4*s + 26. Let q be v(8). Let d be (3 - 0) + q + -6 + 2. Let k(l) = -l**3 - 7*l**2 + l + 4. What is k(d)? -3 Let v(g) = -24*g**3 + 23*g**2 - g + 135. Let a(p) = -13*p**3 + 12*p**2 + 73. Let o(f) = -11*a(f) + 6*v(f). Let q(s) = -s + 2. Let j be q(-3). Calculate o(j). 2 Let j(a) = -38*a + 112. Let w(g) = -22*g + 57. Let m(c) = 3*j(c) - 5*w(c). Give m(13). -1 Let b(a) be the second derivative of -a**5/20 + a**4/4 + a**3/6 + 2*a**2 - 63*a. Determine b(3). 7 Let o(m) = m - 4. Let v(f) = -10*f + 50. Let g(q) = -18*o(q) - 2*v(q). What is g(19)? 10 Suppose -6*t = -521 + 533. Let q(f) = -11*f + 4. What is q(t)? 26 Let p be (-60)/(-14) - (-24)/(-84). Suppose 3*q - 8 = p. Suppose -22 = q*x + 14. Let u(g) = g**2 + 8*g - 6. Give u(x
{ "pile_set_name": "DM Mathematics" }
t is 0.12 times 150.31? 18.0372 Product of -0.5 and -37796. 18898 What is the product of -0.02768 and 0.3? -0.008304 Calculate 0.1115*0.02. 0.00223 -69*-18519 1277811 Work out 9 * 670.3. 6032.7 What is the product of -3 and -0.0649606? 0.1948818 Calculate 2.8*-66393. -185900.4 What is the product of 13419 and -0.02? -268.38 0.14 * 1783 249.62 Multiply 27 and -0.762. -20.574 Work out 0.2 * 10083.6. 2016.72 What is 1 times 3712? 3712 Product of -7 and -68734. 481138 Product of 0.2 and 176.8635. 35.3727 Work out 3664 * -27. -98928 Work out 0.5 * 1.6342. 0.8171 -10.2 times 56.2 -573.24 0.1 times -541216 -54121.6 244 * -0.2649 -64.6356 -42.4 times 4.76 -201.824 -1627.591*-0.5 813.7955 Work out 93363 * 5. 466815 Calculate 0.75*58809. 44106.75 714831*-4 -2859324 What is -0.4 times -2278.78? 911.512 Multiply -0.1 and -9741.3. 974.13 -1.96 * -206 403.76 Work out -0.0125 * -0.0923. 0.00115375 What is the product of 79 and -868? -68572 Product of 0.061 and 7817. 476.837 -2 * -107849 215698 What is 0.32 times 1.311? 0.41952 What is the product of -4 and -24.2? 96.8 -4.8 * 0.08879 -0.426192 Work out -0.2 * 124157.1. -24831.42 What is -8573 times -0.2? 1714.6 862*0.714 615.468 Multiply 34 and -0.078. -2.652 What is 53092 times -7? -371644 0.167 times -3.85 -0.64295 Calculate -18*86.13. -1550.34 What is the product of -0.12 and 4.456? -0.53472 -7 * 1700 -11900 Multiply -3.8 and -379. 1440.2 Multiply -9 and -1497. 13473 -4198869 * 0.5 -2099434.5 Product of -115 and 0.906. -104.19 Product of 2038.9 and -3. -6116.7 Calculate -0.2*-3850. 770 Multiply 1587750 and -3. -4763250 Calculate 247550*2. 495100 Multiply -632107 and -4. 2528428 Work out 5 * -0.0008839. -0.0044195 Product of 488.9 and -50. -24445 Multiply 118 and 5.94. 700.92 -0.24*-807 193.68 Product of 0.2 and 7273. 1454.6 What is 566 times 618? 349788 Product of 34.3416 and 0.3. 10.30248 What is -0.4 times -2.7586? 1.10344 Calculate 0.3*-10.87. -3.261 Multiply -62.768 and 0.1. -6.2768 Calculate -789.3*-1.3. 1026.09 What is the product of 1030124 and 0? 0 Work out 76387 * -16. -1222192 -396593*-0.5 198296.5 What is 0.4 times 37200? 14880 What is 0.5 times -0.908983? -0.4544915 Calculate -3*-458.8. 1376.4 Work out -0.11559 * -4. 0.46236 Work out 0 * 0.10137. 0 Multiply -384.4 and 0. 0 What is 0.008 times 139.3? 1.1144 Work out -9038 * -6. 54228 What is 121 times 3565? 431365 What is the product of -43308 and 0.2? -8661.6 Work out -1.41 * 218. -307.38 -284 times -2 568 0*-57778 0 Product of 26 and 558. 14508 53*9664 512192 -21339 times 0.6 -12803.4 Product of 13 and -5.2783. -68.6179 -31.295*3 -93.885 0.014 * 1003 14.042 3878 * -19 -73682 Calculate 850453*0.2. 170090.6 What is the product of -0.6 and 2961? -1776.6 What is 2 times 0.010313? 0.020626 5 * -43705 -218525 What is the product of -0.579 and 0.0012? -0.0006948 Product of 0.258963 and 0.1. 0.0258963 0.3 times 31346 9403.8 Calculate 0.2*288727. 57745.4 Product of -1999 and 0.33. -659.67 Product of 0.00469 and 0.1. 0.000469 Calculate 10.2*5.57. 56.814 Work out -0.4 * -1.296. 0.5184 What is the product of 0.988886 and 1? 0.988886 -4 times 1592.3 -6369.2 What is -8574 times -0.7? 6001.8 Calculate 0.4*355083. 142033.2 Product of 5 and 244.39. 1221.95 Product of -2 and 18536. -37072 Calculate -117540*0.03. -3526.2 531 times -0.0774 -41.0994 -63.8 * 17 -1084.6 Calculate 10.1296*15. 151.944 -0.6*-0.18335 0.11001 Work out -4.1 * 0.0772. -0.31652 Calculate 440*-17.8. -7832 Work out 0.5 * -277121. -138560.5 -0.81666 * 14 -11.43324 What is 0.14 times -40888? -5724.32 What is the product of -10 and 5.859? -58.59 What is -170533 times -4? 682132 -1.6929 times 0.71 -1.201959 Work out 9.663 * 85. 821.355 0.03928*0.34 0.0133552 What is the product of -46555 and 1? -46555 Calculate -1*410721. -410721 What is the product of 1735 and -11? -19085 Work out -126398 * -4. 505592 Multiply 0.218 and 2.917. 0.635906 What is the product of 0.492 and -3225? -1586.7 -3.7*0.1505 -0.55685 What is 4533 times 1? 4533 Calculate -140*185. -25900 18*-0.0304 -0.5472 What is the product of -0.2 and 86237? -17247.4 3.43*-10550 -36186.5 Calculate 6.2442*0.32. 1.998144 Multiply -4.4 and -0.1802. 0.79288 What is 10.5 times -0.56? -5.88 Calculate 5*3795. 18975 Calculate 262*23. 6026 What is the product of 59 and -13.19? -778.21 Product of -102.2 and 57. -5825.4 Multiply -12631 and -0.4. 5052.4 Work out -110.6315 * 0.4. -44.2526 Product of -4254 and 0.08. -340.32 Calculate -221*0.11. -24.31 Work out 5 * 4292. 21460 What is 0.08 times 15.51? 1.2408 -0.1 times 8.1661 -0.81661 What is -214 times -7.2? 1540.8 0.3 times -180157 -54047.1 Calculate -9*-5798. 52182 What is the product of -18193 and 14? -254702 What is the product of 4 and 2685.92? 10743.68 Multiply -2 and 10660.6. -21321.2 Product of -4 and 0.103065. -0.41226 Work out -0.189 * -1233. 233.037 3833.4 times 0.05 191.67 Calculate -0.01*-411.08. 4.1108 -5 * 75.5 -377.5 Calculate 4.1*1.0138. 4.15658 Work out 1111 * -0.068. -75.548 -179 times 0.18 -32.22 -0.4*0.043395 -0.017358 Multiply 0.22 and 4812. 1058.64 Product of -0.5 and 20.85. -10.425 Calculate -0.0961*12. -1.1532 Calculate -161.3*0.01. -1.613 -549891*-0.1 54989.1 -0.057 times 388 -22.116 Calculate -29.2*0.051. -1.4892 -2571460 times -0.3 771438 What is 0.02 times 2246? 44.92 What is 3 times 9.9972? 29.9916 Calculate -0.4*-7.1519. 2.86076 Multiply -2593 and -3.1. 8038.3 Multiply 13 and -79822. -1037686 What is -0.056 times 161? -9.016 Calculate 15535.7*-1.6. -24857.12 Multiply -122 and 3086. -376492 Multiply -7752 and 5. -38760 Work out 0.0813 * 0.12. 0.009756 0.3*1304866 391459.8 Multiply 14.1 and 607. 8558.7 Product of 984 and 23. 22632 What is the product of -148.576 and 0.3? -44.5728 Calculate -5*-472.68. 2363.4 Multiply -1.32 and -84. 110.88 What is -2320 times 24? -55680 -14 * -81.75 1144.5 What is 3 times -4.5711? -13.7133 What is -0.6 times -0.2334? 0.14004 What is 4.2 times -13430? -56406 1662 * -0.92 -1529.04 What is the product of 1819 and 96? 174624 Product of 0.0183 and -312. -5.7096 Product of 1.147 and -0.088. -0.100936 What is 5 times 1.16347? 5.81735 -3534 times 207 -731538 Work out 1 * -16441. -16441 Product of -0.001 and -11334. 11.334 Calculate 600225*-0.3. -180067.5 1.36 * -13.5 -18.36 -0.4 * -6.47132 2.588528 24.899 times 13 323.687 Calculate -46119*1. -46119 0.1 * -10.2146 -1.02146 Multiply -12898 and 0.4. -5159.2 What is -34 times -0.1359? 4.6206 Multiply 179 and 0.104. 18.616 2.4 times 95.07 228.168 What is 8530.1 times 3? 25590.3 Work out 913 * 879. 802527 -0.4972 * -0.3 0.14916 165014*-4 -660056 What is the product of 0.1852 and 14? 2.5928 What is the product of 1.13 and 5.82? 6.5766 -692.1 times -9 6228.9 Work out -5 * -1572. 7860 Multiply 0.25 and -0.061357. -0.01533925 Work out 0.0656587 * 0.3. 0.01969761 What is -0.2574 times 0.05? -0.01287 What is -17053 times -2.1? 35811.3 Calculate 19.8*-44. -871.2 Work out -5 * -15413. 77065 Multiply 902 and 18.3. 16506.6 Work out 299 * -25.3. -7564.7 Product of -0.3781 and -0.51. 0.192831 -0.4*140196 -56078.4 Calculate -266*-0.973. 258.818 3 times -10461.1 -31383.3 0.79 * -7 -5.53 -291 * -3536 1028976 What is the product of 1.0868 and 14? 15.2152 Product of 14 and -0.448. -6.272 What is 1.2 times -5.462? -6.5544 What is 34699 times 2? 69398 Multiply 2 and -1556.9. -3113.8 -17 times 2.99 -50.83 Product of -3269 and -8.4. 27459.6 Calculate -1*870. -870 Work out 0.34 * -0.0332. -0.011288 391*-0.073 -28.543 94305 times -0.1 -9430.5 Multiply -0.029304 and 2. -0.058608 Product of 3 and 7926.8. 23780.4 What is the product of -0.058 and 7793? -451.994 -0.2775 times 97 -26.9175 Multiply 3.52 and -2420. -8518.4 What is the product of 65.07 and 0.06? 3.9042 Calculate 48*-213. -10224 Product of 3 and -207106. -621318 What is 0.11383 times -0.39? -0.0443937 -5 times 0.0705 -0.3525 What is -122136.1 times 0.02? -2442.722 0.08 times -6.9744 -0.557952 31.6*-913.8 -28876.08 Work out 0.1111 * -0.8. -0.08888 -0.05*-154440 7722 Multiply -4 and 12.398. -49.592 Product of 53 and 0.0276. 1.4628 Work out -2.546 * -6.3. 16.0398 Calculate 0.5*3.07. 1.535 -39048 times -0.4 15619.2 Multiply -1.9 and -56.768. 107.8592 -874.6 * -0.04 34.984 Multiply 0.7 and -0.134133. -0.0938931 Work out 513.819 * -0.2. -102.7638 -1192.723 times -0.4 477.
{ "pile_set_name": "DM Mathematics" }
7, e: 4}? 28/55 What is prob of picking 4 z when four letters picked without replacement from zddzzzzzzdzzzzzzzz? 91/204 What is prob of picking 2 j when two letters picked without replacement from fjffrxfxxj? 1/45 Calculate prob of picking 1 m, 1 e, and 2 g when four letters picked without replacement from gggfggggmggmgeg. 22/273 Two letters picked without replacement from {c: 5, f: 13}. Give prob of picking 2 f. 26/51 Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {g: 1, v: 1, l: 1, o: 1, x: 1}. 1/10 What is prob of picking 1 r, 1 o, 1 j, and 1 x when four letters picked without replacement from xoxoxxxjr? 5/63 Two letters picked without replacement from {g: 1, k: 7}. Give prob of picking 2 k. 3/4 What is prob of picking 3 c when three letters picked without replacement from {c: 3, f: 5}? 1/56 What is prob of picking 2 f when two letters picked without replacement from {g: 3, i: 12, f: 2}? 1/136 What is prob of picking 1 q and 1 c when two letters picked without replacement from cgrcjcrrmcrrq? 2/39 Three letters picked without replacement from enuuuzyuu. What is prob of picking 1 n, 1 z, and 1 e? 1/84 Calculate prob of picking 1 n, 1 v, 1 o, and 1 e when four letters picked without replacement from bomenennnoovbbeeob. 16/765 Four letters picked without replacement from {d: 1, q: 1, m: 5, w: 5, b: 5}. Give prob of picking 4 w. 1/476 Four letters picked without replacement from ffkfkfaffjkkaffkaf. What is prob of picking 2 a, 1 f, and 1 j? 3/340 Calculate prob of picking 1 c, 1 g, and 1 m when three letters picked without replacement from {m: 8, c: 4, b: 2, g: 1}. 32/455 Four letters picked without replacement from dnddqoxoxnudnn. Give prob of picking 1 x, 2 n, and 1 d. 48/1001 What is prob of picking 2 e, 1 k, and 1 y when four letters picked without replacement from xeeyekyxxke? 4/55 What is prob of picking 1 d and 1 k when two letters picked without replacement from fkffdfdqfdkf? 1/11 Calculate prob of picking 1 a and 2 y when three letters picked without replacement from {k: 1, a: 4, y: 2}. 4/35 What is prob of picking 1 g and 2 f when three letters picked without replacement from uuufgggffuufgg? 15/182 Four letters picked without replacement from bcbbbbbcbccbbb. What is prob of picking 1 b and 3 c? 40/1001 Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {w: 1, y: 5, k: 1, r: 12}. 4/57 Three letters picked without replacement from {s: 7, h: 5, l: 2}. What is prob of picking 2 l and 1 h? 5/364 Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {m: 1, e: 6, y: 7, k: 5}. 10/57 Two letters picked without replacement from rlrllllr. What is prob of picking 2 l? 5/14 Two letters picked without replacement from gxghuuhhgg. What is prob of picking 1 g and 1 x? 4/45 What is prob of picking 1 n and 1 r when two letters picked without replacement from rcnnsll? 2/21 What is prob of picking 2 t, 1 v, and 1 u when four letters picked without replacement from {t: 2, v: 1, u: 4}? 4/35 Calculate prob of picking 2 p when two letters picked without replacement from ppjpppjjjpppjpjpppp. 26/57 Four letters picked without replacement from {h: 2, x: 1, w: 1, i: 1}. Give prob of picking 1 i, 2 h, and 1 x. 1/5 Three letters picked without replacement from {h: 1, m: 1, r: 2, a: 2, b: 1, q: 1}. Give prob of picking 1 a, 1 b, and 1 h. 1/28 Three letters picked without replacement from {j: 2, l: 1, c: 4, p: 1, k: 7}. Give prob of picking 2 c and 1 k. 6/65 What is prob of picking 4 z when four letters picked without replacement from {z: 4}? 1 What is prob of picking 4 h when four letters picked without replacement from rhrhrhhrhhh? 7/66 Calculate prob of picking 2 a when two letters picked without replacement from azzaw. 1/10 Three letters picked without replacement from qooiqgoog. Give prob of picking 2 g and 1 q. 1/42 Two letters picked without replacement from jpngppgipgiipningpnp. What is prob of picking 1 g and 1 i? 8/95 Two letters picked without replacement from {t: 5, z: 7}. What is prob of picking 2 t? 5/33 Two letters picked without replacement from {i: 1, h: 1, x: 2, t: 12, v: 2, w: 2}. Give prob of picking 1 h and 1 t. 6/95 Three letters picked without replacement from {a: 2, k: 4, g: 1, w: 5, m: 2}. Give prob of picking 1 a and 2 k. 3/91 Three letters picked without replacement from {u: 3, f: 4, q: 2, v: 1}. What is prob of picking 1 u and 2 q? 1/40 Two letters picked without replacement from cccxycxccxcxccxccc. What is prob of picking 2 x? 10/153 Calculate prob of picking 2 e and 1 z when three letters picked without replacement from ueuzzuzuuez. 4/165 Calculate prob of picking 3 e and 1 p when four letters picked without replacement from eeeeeeeeppeee. 6/13 Four letters picked without replacement from kkwkkkwkwkkkkkk. Give prob of picking 2 w and 2 k. 66/455 What is prob of picking 1 y and 1 t when two letters picked without replacement from {v: 2, y: 3, u: 2, t: 4, m: 2}? 2/13 Two letters picked without replacement from lleeelpllkpkl. What is prob of picking 2 p? 1/78 Three letters picked without replacement from {e: 2, o: 4, m: 7}. What is prob of picking 2 e and 1 o? 2/143 What is prob of picking 3 j when three letters picked without replacement from kjjjjkjjjjjj? 6/11 Calculate prob of picking 3 r when three letters picked without replacement from {r: 4}. 1 Calculate prob of picking 1 k and 1 t when two letters picked without replacement from gkgwtjjw. 1/28 Three letters picked without replacement from {y: 2, i: 4, g: 5}. What is prob of picking 1 i, 1 g, and 1 y? 8/33 Four letters picked without replacement from {z: 13, q: 1, e: 1}. What is prob of picking 1 e, 1 q, and 2 z? 2/35 Two letters picked without replacement from ggggrrxhgirirrngg. Give prob of picking 1 x and 1 h. 1/136 What is prob of picking 2 u and 2 o when four letters picked without replacement from obboaubauboaboboby? 1/306 Two letters picked without replacement from ccccjpccjmccc. Give prob of picking 2 j. 1/78 Four letters picked without replacement from {e: 5, d: 5}. Give prob of picking 3 e and 1 d. 5/21 Three letters picked without replacement from {j: 6, e: 3, m: 6, a: 3}. What is prob of picking 2 j and 1 a? 15/272 Four letters picked without replacement from {t: 7, w: 7}. Give prob of picking 1 t and 3 w. 35/143 Two letters picked without replacement from {w: 4, i: 2}. Give prob of picking 2 i. 1/15 Three letters picked without replacement from {e: 2, b: 1, w: 2, t: 1}. What is prob of picking 1 w and 2 e? 1/10 Three letters picked without replacement from faahfqaay. Give prob of picking 1 f, 1 q, and 1 h. 1/42 What is prob of picking 1 u and 2 s when three letters picked without replacement from {m: 1, s: 3, u: 3}? 9/35 Three letters picked without replacement from {r: 2, l: 2}. Give prob of picking 2 r and 1 l. 1/2 Four letters picked without replacement from uhjhhkjjhjhhjje. What is prob of picking 4 j? 1/91 Three letters picked without replacement from zemezsr. Give prob of picking 3 m. 0 Two letters picked without replacement from zzddttzttzzzzzttttt. Give prob of picking 2 d. 1/171 Four letters picked without replacement from glnwfnngffgwene. What is prob of picking 2 g, 1 e, and 1 n? 8/455 Three letters picked without replacement from jxwtxww. What is prob of picking 1 w and 2 x? 3/35 Calculate prob of picking 1 c and 2 f when three letters picked without replacement from vfvvccvccfcv. 1/44 Calculate prob of picking 2 d, 1 j, and 1 k when four letters picked without replacement from dkjpmdjjjdjuupj. 6/455 Calculate prob of picking 2 i when two letters picked without replacement from ruiuuiuxruuuux. 1/91 Two letters picked without replacement from {k: 1, i: 1, z: 5, t: 10, r: 1, s: 1}. What is prob of picking 1 z and 1 t? 50/171 Calculate prob of picking 2 u and 1 j when three letters picked without replacement from juduvvjjfdffujdvjf. 5/272 Four letters picked without replacement from ccccicci. Give prob of picking 4 c. 3/14 What is prob of picking 2 g and 2 a when four letters picked without replacement from augagagaugugugggg? 54/595 Two letters picked without replacement from tnhtwfg. Give prob of picking 1 g and 1 f. 1/21 Four letters picked withou
{ "pile_set_name": "DM Mathematics" }
48). -13 Let j(g) = g**2 + 5*g - 28. Determine j(-7). -14 Let f(v) = 2*v**2 - 15*v - 795. Determine f(24). -3 Let k(o) = 32*o**2 + 825*o - 177. Give k(-26). 5 Let t(b) = -1249*b + 13. What is t(0)? 13 Let m(v) = -v**3 - 6*v**2 + 457*v + 4838. Give m(-15). 8 Let y(l) = 11*l**2 + 22*l - 358. Determine y(-7). 27 Let z(f) = 47*f**2 + 239*f + 16. Give z(-5). -4 Let v(y) = -17*y**2 + 65*y + 7. Give v(3). 49 Let m(z) = -59*z + 3150. What is m(52)? 82 Let a(o) = -o**2 - 26*o - 131. What is a(-22)? -43 Let j(v) = -v**3 - 28*v**2 - 51*v - 1425. What is j(-28)? 3 Let j(f) = 2*f**2 - 69*f + 568. Give j(15). -17 Let x(o) = 380*o + 4327. Calculate x(-11). 147 Let v(l) = 2*l**3 + 13*l**2 - 195*l + 5. Give v(8). 301 Let y(n) = n**2 - 16*n + 30. Give y(12). -18 Let h(o) = -25*o + 1046. What is h(42)? -4 Let v(r) = -39*r - 786. Determine v(-20). -6 Let i(g) = -2809*g + 14066. Give i(5). 21 Let v(w) = 2*w**3 + 21*w**2 - 25*w - 536. Give v(-7). -18 Let d(w) = w**3 + 12*w**2 - 7*w - 197. Determine d(-11). 1 Let i(h) = 20*h**2 + 999*h - 999. Give i(1). 20 Let o(s) = -182*s + 11427. Give o(63). -39 Let c(a) = a**3 + 2*a**2 - 221*a + 54. Give c(-16). 6 Let g(a) = a**2 - 80*a + 598. Give g(9). -41 Let r(p) = p**3 - 17*p**2 + 15*p + 15. Determine r(16). -1 Let y(d) = d**3 + 59*d**2 + 57*d - 174. Give y(-58). -116 Let i(z) = -z**3 + 35*z**2 - 35*z - 47. Calculate i(34). -81 Let p(j) = -4*j**2 + 148*j + 113. Give p(38). -39 Let v(x) = -21*x - 333. What is v(-16)? 3 Let d(s) = 6*s**2 + 7*s - 14. What is d(-5)? 101 Let j(d) = -d**2 - 22*d + 187. Determine j(6). 19 Let r(h) = -41*h**3 - 5*h**2 - 13*h + 4. Give r(-2). 338 Let z(i) = 70*i + 553. What is z(-3)? 343 Let y(c) = 8*c**3 + 30*c**2 + 3*c + 47. Calculate y(-4). 3 Let i(q) = -13*q**2 - 385*q - 2291. Give i(-8). -43 Let o(c) = -67*c - 263. What is o(-6)? 139 Let h(n) = -19*n**2 - 15*n - 20. Calculate h(4). -384 Let z(j) = -34*j**2 + 148*j - 46. Determine z(4). 2 Let x(a) = -a**2 + 23*a - 104. What is x(30)? -314 Let p(t) = -50*t**2 - 405*t - 49. Give p(-8). -9 Let y(n) = -401*n - 35678. Determine y(-89). 11 Let j(d) = 2*d**2 + 193*d + 3896. Give j(-28). 60 Let a(z) = 780*z - 7. Determine a(0). -7 Let p(x) = -3920*x - 94080. Give p(-24). 0 Let w(y) = 4*y**2 - 43*y + 209. Determine w(23). 1336 Let z(j) = -j**2 + 5*j + 119. Give z(0). 119 Let m(k) = 11*k + 715. Calculate m(-62). 33 Let z(a) = -19*a - 36. Determine z(-8). 116 Let x(k) = -91*k + 478. Calculate x(9). -341 Let r(x) = x**3 + 31*x**2 - 16. Calculate r(-31). -16 Let i(j) = j**3 + 4*j**2 - 48*j + 7. What is i(5)? -8 Let x(m) = -31*m**2 - 347*m - 898. Calculate x(-4). -6 Let d(b) = b**3 + 12*b**2 + 9*b - 22. Determine d(-11). 0 Let f(t) = -5*t**2 + 5*t - 9. What is f(1)? -9 Let c(g) = -182*g + 908. What is c(5)? -2 Let m(k) = -39*k**2 - 272*k + 312. Give m(-8). -8 Let u(x) = x**2 + 35*x + 288. Give u(-14). -6 Let p(r) = 630*r + 11338. What is p(-18)? -2 Let w(i) = -7*i**2 + 1765*i - 13685. Determine w(8). -13 Let v(j) = -39*j + 1796. Calculate v(46). 2 Let z(f) = -f**3 + 20*f**2 - 8*f - 200. What is z(19)? 9 Let u(m) = 3*m**2 - 16*m - 68. Calculate u(-3). 7 Let q(y) = -y**3 + 59*y**2 + 1989*y + 242. Determine q(83). -7 Let k(l) = -l**2 + 55*l + 367. Determine k(-6). 1 Let a(r) = -r**2 + 452*r + 4. Calculate a(0). 4 Let z(d) = d**3 - 35*d**2 + 4*d - 227. Determine z(35). -87 Let d(k) = 186*k + 2028. Calculate d(-11). -18 Let w(i) = -i**2 + 2522*i - 4. Determine w(0). -4 Let t(m) = m**3 - 29*m**2 - 33*m + 44. Give t(30). -46 Let p(o) = 24*o**3 - 7*o**2 + 6*o - 2. Calculate p(2). 174 Let y(f) = f**2 + 133*f + 2080. Give y(-18). 10 Let k(z) = z**3 + 12*z**2 - 25*z + 3. Give k(4). 159 Let i(l) = 8*l - 36. Determine i(5). 4 Let t(y) = 179*y - 857. Determine t(5). 38 Let t(o) = 5*o**2 - 16*o - 19. Calculate t(-3). 74 Let b(l) = 106*l + 2008. Determine b(-19). -6 Let b(k) = -7*k + 15. Determine b(1). 8 Let i(u) = -2*u**2 - 144*u - 542. Calculate i(-4). 2 Let r(z) = 77*z - 4. Calculate r(1). 73 Let v(y) = y**3 - 21*y**2 + y - 7. Give v(8). -831 Let i(d) = d**3 + 4*d**2 - 95*d + 103. What is i(-13)? -183 Let o(r) = 528*r - 48566. Calculate o(92). 10 Let h(w) = w**2 + 18. Calculate h(-8). 82 Let h(v) = -9*v**3 + 1516*v**2 + 3934*v - 179. What is h(171)? -8 Let g(t) = t**3 - 3*t**2 + 2*t - 131. Determine g(7). 79 Let z(v) = 7*v**2 - 42*v + 34. What is z(7)? 83 Let f(g) = 152*g - 1403. What is f(9)? -35 Let j(z) = -6*z**2 - 459*z + 157. Give j(-77). -74 Let o(z) = 3*z**3 - 290*z**2 + 476*z - 108. Calculate o(95). -13 Let o(s) = -s**2 - 6*s + 6. What is o(-5)? 11 Let p(f) = -230*f + 11048. What is p(48)? 8 Let o(b) = -3*b**2 + 6*b + 87. Give o(-9). -210 Let s(w) = 35*w - 243. Calculate s(20). 457 Let t(a) = -195*a - 1551. Calculate t(-8). 9 Let c(w) = -w**2 - 14483*w + 57952. What is c(4)? 4 Let x(d) = -188*d**2 + 7336*d - 155. What is x(39)? 1 Let b(k) = k**3 + 76*k**2 - 86*k - 696. Give b(-77). -3 Let c(x) = x**3 - 28*x**2 + 16*x + 266. Determine c(27). -31 Let h(a) = 21*a - 50. Give h(-8). -218 Let m(z) = 2468*z - 12270. Calculate m(5). 70 Let z(m) = -35*m + 533. Give z(15). 8 Let q(z) = z**3 - 10*z**2 + 14*z - 3. Determine q(6). -63 Let a(b) = b**2 + 4*b + 15. Give a(-7). 36 Let z(c) = 1450*c - 14507. What is z(10)? -7 Let w(t) = -t**2 - 28*t - 173. Give w(-17). 14 Let c(i) = -i**3 - 23*i**2 + 47*i - 60. Calculate c(-25). 15 Let r(c) = c**2 - 8*c - 590. Give r(26). -122 Let v(p) = -p**3 - 15*p**2 + 20*p + 37. Determine v(-11). -667 Let z(n) = 1124*n + 5605. Give z(-5). -15 Let w(r) = 55*r**2 - 29*r - 28. Give w(-1). 56 Let z(s) = -s**3 + 56*s**2 + 116*s + 10. Give z(58). 10 Let u(v) = -v**3 - 24*v**2 + 7*v - 270. Determine u(-25). 180 Let b(l) = 33*l - 1044. Give b(36). 144 Let h(t) = -t**2 + 33*t + 257. Calculate h(-7). -23 Let p(a) = -2*a - 73. Calculate p(-39). 5 Let q(y) = y**2 + 26*y + 5. Calculate q(-23). -64 Let o(d) = -80*d - 147. Determine o(-2). 13 Let v(c) = 5*c**2 + 5*c + 5. Give v(-1). 5 Let r(u) = u**3 - 57*u**2 - 62*u - 109. Give r(58). -341 Let y(n) = n**3 + 17*n**2 + 46*n + 88. Give y(-14). 32 Let u(k) = k**3 - k**2 - 4*k - 8. Calculate u(6). 148 Let h(c) = -c**3 - 62*c**2 - 26*c - 1619. Determine h(-62). -7 Let u(y) = 58*y - 778. Give u(14). 34 Let l(w) = -5*w**3 + 39*w**2 + 42*w + 40. Determine l(9). -68 Let a(x) = 2*x**2 - 21*x + 22. Determine a(12). 58 Let l(k) = -13*k**2 + 121*k + 779. Give l(-6). -415 Let a(c) = c**3 - 27*c**2 + 110*c + 32. Calculate a(22). 32 Let y(u) = 2*u**3 - 85*u**2 + 48*u - 85. What is y(42)? 167 Let a(f) = f**3 + 6*f**2 + 12*f - 6. What is a(-5)? -41 Let u(m) = -45*m + 114. Give u(3). -21 Let w(c) = 53*c**2 - 10*c + 16. Determine w(2). 208 Let z(x) = 120*x**2 - 1202*x + 11. Calculate z(10). -9 Let v(w) = 3*w**2 - 45*w - 388. Calculate v(-7). 74 Let n(a) = -a**2 - 41*a + 444. Give n(-50). -6 Let d(a) = -a**3 - 11*a**2 + 2*a + 41. What is d(-10)? -79 Let n(d) = -2*d**2 - 46*d + 208. Give n(4). -8 Let r(v) = -10*v**3 + 154*v**2 - 64*v + 16. Give r(15). -44 Let a(x) = -270*x + 7295. Calculate a(27). 5 Let y(d) = 6*d + 36. Give y(-14). -48 Let d(n) = n**2 + 529*n + 19106. Determine d(-39). -4 Let k(b) = -b**2 - 410*b + 12706. Give k(29). -25 Let n(q) = -q**3 + 35*q**2 - 161*q + 64. What is n(30)? -266 Let l(j) = -428*j + 438. Calculate l(1). 10 Let l(m) = 2*m**2 - 407*m + 3496. Give l(9). -5 Let c(w) = w**2 - 7*w + 8. Calculate c(6). 2 Let m(n) = -3*n - 116. Calculate m(-28). -32 Let v(p) = -4672*p + 28027. What is v(6)? -5 Let x(j) = -2*j**3 + 7*j**2 - 7*j - 15. Give x(6). -237 Let t(c) = -c + 389. Calculate t(57). 332 Let z(o) = o**3 + 13*o**2 - 85*o + 27. Calculate z(-17). 316 Let a(l) = l**2 + 9*l + 20. Determine a(-3). 2 Let f(t) = -4*t**3 + 11*t**2 - 14*t + 3. What is f(2)? -13 Let t(p) = -23*p**3 - 5*p + 5. Determine t(2). -189 Let v(r) = -476*r + 33801. Determine v(71). 5 Let m(k) = 2*k**2 - 2030*k - 77856. Give m(-37). -8 Let w(m) = -22*m**3 - 2*m**2 - 7*m - 6. Give w(-1). 21 Let b(l) = l**3 - 15*l**2 - 88*l - 364. What is b(20)? -124 Let d(g) = g**2 + 16*g - 163. Calculate d(8). 29 Let d(n) = 2*n**3 + 91*n**2 + 214*n - 41. Give d(-43). 2 Let s(q) = -31*q - 258. Determine s(-8). -10 Let l(t) = 16*t - 525. Calculate l(33). 3 Let a(b) = -45*b - 159. Determine a(-3). -24 Let w(h) = -h**3 + 47*h**2 + 57*h - 418. Determine
{ "pile_set_name": "DM Mathematics" }
is positive. k**(10473/280) Simplify (p/(p*p/p**(3/32)*p))**(1/23)*(p**20)**11 assuming p is positive. p**(161859/736) Simplify (((l/(l/l**(-11))*l**9)**27)**32)**(-11/2) assuming l is positive. l**9504 Simplify (t/t**(1/3)*t*((t**(-7)/t)/t)/t)/((t**1/t)/t)**(-3)*(t/t**(-2/3)*t)**35*(t/(t*t*t**5*t))/t**(-1/6) assuming t is positive. t**(451/6) Simplify ((n**(11/3)*n)/(n*n**(2/3))*n**(-4/3)/(n/(n/(n*n/(n**(-14)/n))*n)*n))**16 assuming n is positive. n**(-736/3) Simplify (g**(-1/3)/g**(-2/9)*(g*g/(g/(((g/g**0)/g)/g))*g*g)**(-4/9))/((g*g**(-2)*g**2)/(g/(((g/(g/g**(-1))*g*g)/g)/g))**(7/2)) assuming g is positive. g**5 Simplify (t*t*(t*t**3)/t*t*t*t/(t*t**2/t))/(t**(-1/4))**9*t**(-5)*t/t**(-5)*t*(t**1*t*t)/(t*t/t**(-1)) assuming t is positive. t**(41/4) Simplify ((y**(-6/13)/y**(-2/7))/(y**(-1/4))**(-2/49))/((y**(-1))**(26/9)/(y**3*y*y**(2/5))) assuming y is positive. y**(407207/57330) Simplify ((v**17*v*v*v**(1/9))/(v*v/(v*v**(-2/33)/v*v))**43)**(16/5) assuming v is positive. v**(-41968/495) Simplify ((((c/(c**(-10)*c)*c)/(c/(c**(-26)/c*c*c)))**49)**(-13))**(-23) assuming c is positive. c**(-219765) Simplify ((x**(-34)*x**(4/9))/(x*x/((x**9/x)/x)*x**(1/9)))**(-49) assuming x is positive. x**(4214/3) Simplify (d**19/d**(2/55))/((d/(d/d**29))/(d/(d/((d*d/d**(1/13))/d)*d*d)*d)) assuming d is positive. d**(-7231/715) Simplify ((v*v**0)**(-2/9)/(v**(1/3)*v)**(1/40))/((v**(2/5)/v)**46*v**(-5)*v**(-2/3)) assuming v is positive. v**(2971/90) Simplify (((f/(f/f**(2/9)))/f)/(f*f**(-2/3)*f))**(-12)/((f**(-1/3))**34/(f/(f*f/f**6)*f**(-2))) assuming f is positive. f**(119/3) Simplify (b/(b**(-5)*b)*(b*b**(-3/7))/b)/(b*b**1*b*b)**35*((b**4/b)/b*b*b**(-1/2)*b*b)**(-1/59) assuming b is positive. b**(-111927/826) Simplify f**(1/6)/f**1*f*f**(3/5)*f**(-8/7)*f*((f*f/(f/(f*f**(-1/8))))/f**(-3/7))/(f/((f*f/f**2*f)/f))**(13/2) assuming f is positive. f**(-3001/840) Simplify (((c**3/c**0)**(5/2))**(2/11))**(-17) assuming c is positive. c**(-255/11) Simplify (p**(-1/6)*p/p**(1/7))/(p*p**(-2/9))**(-1/74)*((p**(2/3)/p)**(-15/7))**(-44) assuming p is positive. p**(-71626/2331) Simplify (k**(-4)/k**5)/(k**(-1))**(-34)*(k**(-1/3)/k**(-2/13))/((k/k**0)/k*k)**(-16) assuming k is positive. k**(-1060/39) Simplify (r**(2/3))**(-20/13)/((r*r**(2/5))/(r/(r**(-6)*r)))*(r**(-2/7))**18*r/r**4*r**(2/7) assuming r is positive. r**(-5846/1365) Simplify (((j/(j*j/j**(12/7)))/j**(-27))/(j**(-28))**33)**(-7) assuming j is positive. j**(-6662) Simplify (v/((v*v*v/(v/v**(-2)))/v)*v/(v*v/(v*v**(-10))*v*v))**36*v**(-2/17)*(v**2/v*v)/v*v**(-5)*v/v**(-5) assuming v is positive. v**(-6088/17) Simplify ((f*f**0)**(1/10))**(-1/24)*(((f**4*f)/f)/f**4)/(f**(1/2)/((f/(f**(-2/3)/f))/f)) assuming f is positive. f**(93/80) Simplify (v**(2/15)/v**(-2/3)*v*v**(-5/2)/v*v**(2/7))/((v*v**1/v)**(-2/105)/((v/((v*(v**(3/8)*v)/v)/v))/(v/(v/((v*v*v**6)/v)*v)*v))) assuming v is positive. v**(-6527/840) Simplify ((q/(q**(-5)/q))/q**(-1/3))/(q**(-1/4))**(1/6)*(q**0*q*q)**(-24)*((q*q*q**(2/11)/q)/q)/q*q/q**(-2) assuming q is positive. q**(-3383/88) Simplify ((p*p**(-1/3))**(-16))**(-8/9)*(p*p**(1/2)*p*p)**(-4/13)*p**(-1/7)*p**(1/4) assuming p is positive. p**(83653/9828) Simplify (s/(((s*s**(2/7))/s)/s)*((s**(4/5)/s*s)/s)/s)**(-38)*(s**(-2/7))**(-35)*s/s**0*s**(2/9) assuming s is positive. s**(-2621/315) Simplify ((g**(4/19))**(-11)*(g/((g/(g**28*g))/g))**(-7))**(-30) assuming g is positive. g**(121020/19) Simplify ((l**23/l*l*l**31)/(l**18*l**36/l))**33 assuming l is positive. l**33 Simplify (((((b**0/b)/b)/b)/b)**6)**(-44)/(b**(3/2)/((b/(b/(b**(-3/2)/b)))/b)*(((b/b**(-7))/b)/b)/b*b*b**0) assuming b is positive. b**1045 Simplify (((f**(-2/5))**45/((f/(f**(1/2)*f*f))/f**(2/17)))**(-7/3))**(1/3) assuming f is positive. f**(3899/306) Simplify ((n**43/n)/(n*n**(12/7)*n*n)*(n**(-1/5)/n)**(-1/4))**(-1/33) assuming n is positive. n**(-877/770) Simplify ((b**2)**4*b/(b*b**(2/7))*b*(b*b**(-3/5)*b*b)/b)/((b/b**(2/21)*b/(((b**(6/11)/b)/b)/b))/(b**0)**(-17)) assuming b is positive. b**(6647/1155) Simplify ((((a/a**(2/13))/a)/a*a**(-1/3))/(a/((a**(1/15)*a*a)/a)*a**(-1/17)/a))**(-2/63) assuming a is positive. a**(2398/208845) Simplify ((n/(n*(n/n**2)/n)*n**(1/7))/(n**8*n*n**10))**(-4/15) assuming n is positive. n**(472/105) Simplify ((b**(-2/9)/b*b)**(18/5)*(b/(b/b**(-1/3)))/b*b/(b**(-2/9)/b))/((b/((b/b**(2/3)*b)/b*b))**20*(b/(b**7/b*b))/b**(-4)) assuming b is positive. b**(394/45) Simplify (((t**0*t*t)/t*(t/t**(-5))/t)/(t**(-4)/((t/t**5)/t)))/(((((t*t**(1/3))/t*t)/t)/t**(-3))/((t/(t/(t*t/t**0)))/t)**6) assuming t is positive. t**(23/3) Simplify (f**7*f**3*f*f**(-1/3)*f*(f/(f*f*f**(2/9)))/f)/((f/(f*f/(f*f**4)*f)*f/(f**(-4)/f))/(f**(1/4)*f*f**(2/7))) assuming f is positive. f**(499/252) Simplify ((((r/r**3)/r)/r**(-3))/((r/(r/(r*r**(-3)*r)*r))/r**(-6)))/(r**(-7)*r*(r*r**4*r)/r*(r*r*(((r/(r*r**4))/r)/r*r)/r)/r**(-8)) assuming r is positive. r**(-7) Simplify ((w**0)**5*(w/(w*w/((w*w*w*w/w**1)/w)))/(w**(1/5)*w))/((w/w**(-9)*w**(-1/8)*w)/(w*w**9*w*w**4*w)) assuming w is positive. w**(197/40) Simplify (v/v**(-37))**14/(v**29)**(3/2) assuming v is positive. v**(977/2) Simplify (((k**5/k)/k**(-5/4))/(k**(-1)/((k*k**(-6)/k*k*k*k)/k*k)))/((k**(-2/3))**36/(k**(1/4))**(2/107)) assuming k is positive. k**(11665/428) Simplify (l*l*l**(-1/28))**(-32)*(l**(-3/7)/l)/l*l/l**(-1/6) assuming l is positive. l**(-2693/42) Simplify (p/(p/(p*p/p**(-3/4))*p)*p*p**3*p**3/p*p**5)/((p**3)**(1/41))**(2/111) assuming p is positive. p**(77359/6068) Simplify ((w**14/(w/w**8*w))/(w/(w**(-2/61)/w)*w**(-17)))**18 assuming w is positive. w**(38394/61) Simplify ((n*(n**(-2)*n)/n*n)/n**(-1/4))/((n*n**7)/n*n/(n/(((n*n**(2/13)*n)/n)/n)*n))*(n**(2/9)*n/n**(2/7)*n*n)/(n**0)**(-6/11) assuming n is positive. n**(-9721/3276) Simplify (h/(h*h**1))**(-16)/(h**(-4/7)*h**(3/5))*h*h/(h/(h**5/h))*h/((h*h**(-3)/h)/h*h)*h**(-1)/h**(-2/17) assuming h is positive. h**(14333/595) Simplify ((r**(-18/7)/r**(5/2))/(r*r/(r**(5/4)/r))**24)**(-3/10) assuming r is positive. r**(1977/140) Simplify ((n**(-16)*n**(-1/4))/(n**(-10)/n**1))**34 assuming n is positive. n**(-357/2) Simplify (n**(-4)*n**(-4/5)/n)/(n/(n/n**1))**46*((n*n**(-2)*n)**3)**(4/29) assuming n is positive. n**(-259/5) Simplify ((r**(-3/8))**(1/4))**40/((r*(r/(r*r**(-6/11)*r))/r)/r*r**8*(r/r**7)/r**(-7)) assuming r is positive. r**(-497/44) Simplify (((n/((n/n**3)/n*n*n)*n)/n**0)/(n**6/(n**(3/8)/n)))/((n**(-2/9))**6*(n*n**(-3/2))/n**(-1/3)) assuming n is positive. n**(-17/8) Simplify ((h/(h**(2/5)/h))**(-13/4)/(h**4*h*h*h/(h**1*h)))/((h/(h/h**(2/7)*h))/h**(-3)*(h*h*h**(-6))/h**6) assuming h is positive. h**(-87/35) Simplify ((((t*t**(10/3))/t*t*t**9)/(t**(1/4)*t**5))**(-2))**(-45) assuming t is positive. t**(1455/2) Simplify (l**(6/31)/(l*l**(4/27))*(l**(12/5)/l)/l**(-1/16))**(-2) assuming l is positive. l**(-34009/33480) Simplify ((f**(2/5))**4)**20/((f/f**2*f**(-4))/(f**4/(f/(f*f**(-5))))) assuming f is positive. f**36 Simplify (j/(j/(j**(-10)/j))*j*j**16)**(-3/4)*(j**(1/10)*j**(-1/7))/(j/(j/(j*j**(-2/9)*j))*j/(j/(j**(3/7)*j)*j*j*j)*j) assuming j is positive. j**(-1811/315) Simplify ((a**(2/5))**(-5/4))**(-6/17)*(a/(a/(a**6/a*a)*a*a))/a**(-2/5)*(a*a**1)/a**(-5) assuming a is positive. a**(984/85) Simplify c**(-41)*(c*((c*c*c**3)/c)/c)/c*c*c*c*c*(c/c**(-8))**20 assuming c is positive. c**146 Simplify ((z**(-4/9)*z**(-1)/z)/(z/(z*z**(-4/5)*z*z)*z**(-3/10)))/(z**(-6)*z**3*(z**(1/2)*z*z)**(-49)) assuming z is positive. z**(1121/9) Simplify ((((c*c**(1/23)/c)/c**(-9/5))**(15/7))**(1/7))**(-1/55) assuming c is positive. c**(-636/61985) Simplify (((u/u**8)/u**(4/3))/(u/(u/(u**2/u)*u*u))**(-40))**(9/4) assuming u is positive. u**(-435/4) Simplify ((r**(1/19))**(5/6)/(r**(1/4)/r*r*r*(r**10/r)/r))**(-20) assuming r is positive. r**(10495/57) Simplify (j*j/j**0*j)**(23/2)*(j**(-1/4)/j)**(-12)*j*j*j/(j*j**(-1/2))*j**1*j*j**(-1/5)*j**2 assuming j is positive. j**(279/5) Simplify (w**22/w**(2/7)*(((w*w/w**20)/w)/w)/w*w/((w**(-4/15)*w*w)/w)*w)**(-40) assuming w is positive. w**(-1664/21) Simplify (y*y**(1/11)*y*y)**(-9)/(((y*((y*y**(8/5))/y)/y*y)/y*y)/(y*y/y**(-34))) assuming y is positive. y**(307/55) Simplify (((n/(n/((n/(n*n**(-2)/n*n*n))/n))*n)/n)**(22/9))**22*(n**(-1/5)*n/n**8*n)/(n**(-1/3)*n**7) assuming n is positive. n**(-193/15)
{ "pile_set_name": "DM Mathematics" }
rs of a hour? 285 What is 16253.028 nanoseconds in hours? 0.00000000451473 Convert 0.7024246 tonnes to kilograms. 702.4246 How many tonnes are there in 103078.4 grams? 0.1030784 How many months are there in thirteen quarters of a year? 39 What is seven eighths of a decade in months? 105 Convert 634.1249kg to grams. 634124.9 What is 11/2 of a millennium in decades? 550 How many months are there in 5/4 of a year? 15 What is 34.62863 centuries in decades? 346.2863 How many milligrams are there in twenty-one fifths of a gram? 4200 How many millilitres are there in 61/4 of a litre? 15250 How many microseconds are there in 5240.34 days? 452765376000000 What is 9.5603kg in nanograms? 9560300000000 How many weeks are there in 54.3749535 minutes? 0.005394340625 How many grams are there in fourty-six fifths of a kilogram? 9200 How many milliseconds are there in seven eighths of a second? 875 What is 3/5 of a tonne in kilograms? 600 What is 1/9 of a day in seconds? 9600 How many seconds are there in 5/6 of a minute? 50 How many meters are there in 7.640798 kilometers? 7640.798 What is 27/4 of a millimeter in micrometers? 6750 What is twenty-five quarters of a microgram in nanograms? 6250 What is three fifths of a litre in millilitres? 600 How many micrograms are there in 6/5 of a milligram? 1200 Convert 1951.4988 months to centuries. 1.626249 What is 3/8 of a kilometer in centimeters? 37500 How many millilitres are there in 30.85785 litres? 30857.85 How many seconds are there in 794952.9ns? 0.0007949529 Convert 1.56221 meters to nanometers. 1562210000 Convert 603.5614l to millilitres. 603561.4 What is 17/6 of a week in minutes? 28560 Convert 13827.7 litres to millilitres. 13827700 Convert 164.0609775us to weeks. 0.00000000027126484375 How many months are there in seven halves of a millennium? 42000 How many tonnes are there in 8490.689ng? 0.000000000008490689 What is fourty-three halves of a millennium in decades? 2150 What is 231481.47 months in centuries? 192.901225 How many seconds are there in 134721.4ns? 0.0001347214 What is 3/10 of a week in minutes? 3024 How many nanometers are there in seventeen halves of a micrometer? 8500 What is 53/5 of a microsecond in nanoseconds? 10600 What is 1083.86 minutes in nanoseconds? 65031600000000 How many litres are there in 0.2658633ml? 0.0002658633 What is 0.508883mg in grams? 0.000508883 What is three eighths of a microgram in nanograms? 375 What is 60728.99nm in meters? 0.00006072899 How many grams are there in 1546.966kg? 1546966 What is thirty-seven halves of a litre in millilitres? 18500 Convert 5.298817 minutes to nanoseconds. 317929020000 What is 25/4 of a minute in seconds? 375 How many millilitres are there in 6615.567 litres? 6615567 What is 50682.07 millilitres in litres? 50.68207 How many tonnes are there in 4.741913kg? 0.004741913 What is 40.402764s in hours? 0.01122299 What is 19/4 of a kilogram in grams? 4750 Convert 9287.433 litres to millilitres. 9287433 What is seven eighths of a gram in milligrams? 875 How many minutes are there in 773937.3ms? 12.898955 What is 57/2 of a kilometer in meters? 28500 How many litres are there in 58.66217 millilitres? 0.05866217 How many years are there in 8190.348 months? 682.529 Convert 0.0296658 kilograms to grams. 29.6658 How many millilitres are there in one tenth of a litre? 100 What is 1.886573 years in months? 22.638876 What is one twentieth of a century in years? 5 How many nanoseconds are there in 25/4 of a microsecond? 6250 What is thirty-one halves of a millennium in decades? 1550 What is fourty-three quarters of a millennium in years? 10750 How many tonnes are there in 3124.406 kilograms? 3.124406 How many millilitres are there in 4.379432 litres? 4379.432 How many weeks are there in 3507.37695 microseconds? 0.000000005799234375 How many seconds are there in one twentieth of a hour? 180 How many tonnes are there in 6.172885ng? 0.000000000000006172885 What is 13.255671 months in decades? 0.110463925 Convert 0.0998232 nanometers to kilometers. 0.0000000000000998232 Convert 134179.56 months to centuries. 111.8163 What is one twentieth of a milligram in nanograms? 50000 How many micrograms are there in 1/20 of a milligram? 50 What is sixty-seven quarters of a litre in millilitres? 16750 What is nine tenths of a litre in millilitres? 900 What is 1/5 of a centimeter in millimeters? 2 How many hours are there in 73/4 of a week? 3066 How many minutes are there in 3/40 of a day? 108 What is one tenth of a microgram in nanograms? 100 Convert 7.729212 hours to minutes. 463.75272 Convert 4.448769 weeks to microseconds. 2690615491200 How many decades are there in 177216.6 years? 17721.66 What is twenty-five halves of a litre in millilitres? 12500 How many millilitres are there in 7572.885l? 7572885 What is eleven halves of a tonne in kilograms? 5500 Convert 87.44628 kilograms to milligrams. 87446280 What is 25/4 of a millisecond in microseconds? 6250 What is 3/8 of a meter in millimeters? 375 Convert 23988.8 millimeters to kilometers. 0.0239888 How many milliseconds are there in 8364.778 minutes? 501886680 How many millilitres are there in 11/2 of a litre? 5500 How many years are there in 0.4809627 millennia? 480.9627 What is 623.9469 millilitres in litres? 0.6239469 What is three sixteenths of a millennium in months? 2250 What is three fifths of a meter in centimeters? 60 What is 1/5 of a millennium in decades? 20 How many months are there in 3918.985 years? 47027.82 Convert 82.75761 months to years. 6.8964675 Convert 488962.3 nanograms to tonnes. 0.0000000004889623 What is 21/4 of a litre in millilitres? 5250 Convert 5.257547 micrograms to nanograms. 5257.547 What is 26.30499ml in litres? 0.02630499 How many nanograms are there in fifteen quarters of a microgram? 3750 How many millilitres are there in fifty-seven fifths of a litre? 11400 What is 35.13243 hours in milliseconds? 126476748 What is 0.8818647 decades in centuries? 0.08818647 How many years are there in 7/2 of a century? 350 What is 47081.57l in millilitres? 47081570 How many micrometers are there in 29.29767mm? 29297.67 What is three tenths of a litre in millilitres? 300 How many minutes are there in 1/5 of a day? 288 How many micrometers are there in fourty-three quarters of a millimeter? 10750 How many minutes are there in 11/2 of a week? 55440 What is one tenth of a litre in millilitres? 100 How many centimeters are there in 1/20 of a meter? 5 Convert 45927.16 seconds to microseconds. 45927160000 What is 457365.2 tonnes in kilograms? 457365200 What is one tenth of a microgram in nanograms? 100 What is 13/5 of a centimeter in millimeters? 26 What is 3817.125 seconds in days? 0.0441796875 What is 192.9541ug in nanograms? 192954.1 How many millennia are there in 6.375687 decades? 0.06375687 How many minutes are there in fifteen quarters of a hour? 225 What is 30.05603g in nanograms? 30056030000 Convert 642.1331 millilitres to litres. 0.6421331 What is 6536.343 nanometers in kilometers? 0.000000006536343 How many micrometers are there in 5/8 of a centimeter? 6250 How many months are there in 4/15 of a millennium? 3200 How many millilitres are there in 3/25 of a litre? 120 How many nanometers are there in 9642.518m? 9642518000000 What is twenty-nine fifths of a hour in seconds? 20880 What is seven halves of a year in months? 42 How many millilitres are there in 5.482784l? 5482.784 What is seventy-three thirds of a century in months? 29200 How many millimeters are there in thirteen fifths of a meter? 2600 What is 0.2784925g in micrograms? 278492.5 How many millilitres are there in 37/2 of a litre? 18500 How many litres are there in 82091.85 millilitres? 82.09185 How many kilograms are there in three eighths of a tonne? 375 How many months are there in eleven halves of a century? 6600 How many decades are there in 53381.46 centuries? 533814.6 How many grams are there in eleven eighths of a kilogram? 1375 Convert 28.74874ml to litres. 0.02874874 What is fourty-one halves of a kilogram in grams? 20500 What is thirteen quarters of a kilometer in meters? 3250 How many centuries are there in 0.770763 decades? 0.0770763 What is fifty-two fifths of a millimeter in micrometers? 10400 How many litres are the
{ "pile_set_name": "DM Mathematics" }
f) + m(f). Calculate u(2). 5 Suppose k + p = 24, -k + 10 = 5*p - 22. Let n(r) = r**2 - 19*r - 72. Let j be n(k). Let t(b) = b + 5. Calculate t(j). -1 Let b(a) = a**3 + 7*a**2 + 7*a + 4. Let j(z) = z**3 + 10*z**2 + 5. Let l be j(-10). Let t be (-429)/65 + (3 - 12/l). Give b(t). -2 Suppose 4 = -4*s, 3*n = 2*s - 91 - 132. Let p = n + 85. Suppose 37*d - p = 35*d. Let q(b) = 3*b - 6. Determine q(d). 9 Let y(q) = q + 1. Let f be y(-3). Let r = f - -2. Let l(t) = 34*t**2 - 7*t - 5. Let n(p) = -91*p**2 + 19*p + 15. Let x(m) = -8*l(m) - 3*n(m). Determine x(r). -5 Let s(r) = r**3 - 14*r**2 - 17*r - 17. Let g(k) = k**3 - 17*k**2 - 22*k - 15. Let n(h) = 2*g(h) - 3*s(h). What is n(9)? 3 Let i(l) = l**3 + 7*l**2 - 17*l + 4. Suppose -163*d = 1025 + 442. Calculate i(d). -5 Let n(b) be the third derivative of b**4/12 + 7*b**3/6 + 4*b**2 + 18. What is n(10)? 27 Let q(r) be the third derivative of r**6/15 - r**5/60 + 50*r**2 + 5*r - 7. What is q(1)? 7 Let q(b) = -183*b + 2 + 555*b - 187*b - 189*b. Suppose -2*z = -g + 3*g - 14, -17 = 4*g - 5*z. Determine q(g). -6 Let r(o) = 4*o - 1 + 49835*o**2 - 24918*o**2 - 24916*o**2. Give r(-3). -4 Suppose 6*d - 4*d = 0. Let l(s) = -2 - 7 + d*s**2 + 3 - 4*s**2 - 5*s + s**3. Let r(b) = -5*b**2 + 63*b + 31. Let h be r(13). Give l(h). -6 Let s(p) = -12*p**3 - 36. Let d(x) = -7*x**3 - 19. Let q(z) = -5*d(z) + 3*s(z). Calculate q(0). -13 Let s(c) = 2*c**2 - 4*c. Let a(h) = -3*h**2 - 5*h + 7. Let d(w) = -6*w**2 - 8*w + 13. Let g(t) = 11*a(t) - 6*d(t). Let m(o) = -3*g(o) + 5*s(o). Give m(-4). 15 Let x be 2/(2/(-4)*-2) + 0. Let y(b) = 3*b**2 + 10*b - 6. Suppose -5*n = 41 - 6. Let r(g) = -g**2 - 3*g + 2. Let l(f) = n*r(f) - 2*y(f). What is l(x)? 4 Let n be 5/(-2 - (-36)/8). Suppose 4*k + 1 = k - n*s, 4*k = 5*s - 9. Let x(m) = 33 - 94 + 3*m + 30 + 30. Calculate x(k). -4 Let c(t) = -3*t**2 + t. Suppose 0 = 2*p - 4*p + 5*y + 18, -19 = 3*p + 4*y. Let b(u) = -u**3 + 4*u**2 - 4*u + 4. Let z(w) = p*b(w) - c(w). Give z(3). 23 Let c be (-2 - 3/(-2))*-2. Let y(x) = -11*x + 1. Let d be y(c). Let w(k) = -3. Let n(i) = -i - 16. Let j(m) = -n(m) + 4*w(m). What is j(d)? -6 Let l(c) = -6*c + 986 - 2*c + 3*c - 983 - 2*c. Determine l(0). 3 Suppose 0 = -2*i - 14 + 84. Let n = 45 - i. Let h(s) = 5*s + 7*s - n*s + s. Calculate h(4). 12 Let m(h) be the first derivative of -h**3 - 11*h**2/2 - 3*h - 6683. Give m(-4). -7 Let t(a) = -a + 21. Let r(m) = 2*m - 4. Let z be r(-2). Let b be t(z). Let d(w) = 30*w - w**3 - 3*w**3 - b*w + 2*w**2 - 2*w**3. Determine d(-1). 7 Let k(m) be the first derivative of -31 - 1/3*m**3 + 5*m + 2*m**2. Let y be (2 + 5/(-3))*15. Determine k(y). 0 Let o(k) be the first derivative of k**4/2 + 13*k**3/3 - 3*k**2/2 - 19*k + 4022. What is o(-6)? 35 Let h(p) = 2*p**3 + 8*p**2 + 4*p - 8. Let c = 11388 - 11393. Give h(c). -78 Suppose 0 = 4*f + z - 2*z - 455, -5*z = 3*f - 324. Let y = 110 - f. Let w(r) = r**2 - 3*r - 1. Give w(y). 17 Let c(n) be the first derivative of 0*n + 24 - 1/2*n**2. Suppose 2*z = z + 6. Give c(z). -6 Let s be 22/(-4)*(-309)/1133. Let p(l) be the first derivative of s*l**2 + 14 - 7*l. What is p(5)? 8 Let b(l) = l**2 - 18*l + 37. Let h = 4713 + -4697. Determine b(h). 5 Let d(g) be the second derivative of -10*g**3/3 + 5*g**2/2 - 2444*g. What is d(3)? -55 Let p be (0 + -1)/(9/2097). Let n = p + 242. Let d(z) = -z**3 + 9*z**2 - 1. Determine d(n). -1 Let f(c) = 6*c**2 + 122*c - 78. Let w be f(-21). Let x(n) = -6*n + 25. Calculate x(w). -11 Let j(u) be the second derivative of -1/3*u**3 + 0 + 5/2*u**2 + 16*u. Give j(-4). 13 Let c be 12/(-4 - -1) - -5. Let g be (0/(-4))/(-4) - (c - 36). Let b = g + -34. Let t(l) = -11*l**2 + 2*l - 1. What is t(b)? -10 Let t(y) be the second derivative of y**6/36 + y**5/120 + 49*y**3/2 + 17*y. Let z(o) be the second derivative of t(o). Give z(-1). 9 Let w(d) = 2*d**3 - 3*d - 2. Let k = -11522 + 11519. Give w(k). -47 Let c(g) = 10 - g**2 + 18*g + 2 - 4. Let s = 24639 + -24621. What is c(s)? 8 Let z(o) = o + 1. Let b(w) = -4*w - 3. Suppose 3*r = -9*r - 36. Let j be (r - 14/(-4))*-2. Let f(m) = j*b(m) - 2*z(m). Give f(-2). -3 Let g be 26/(-5) + (-6 - 93/(-15)). Let d(f) be the third derivative of f**5/60 - f**3/3 + f**2. Calculate d(g). 23 Suppose -2*x - 5*f + 22 = 0, 5*x - 2*f + 1 = -2. Let j(q) = -x - 1 - 3 + 1 + 5*q - q**2. Let b be 21/(-56) - 129/(-24). Calculate j(b). -4 Suppose 3*s + q = 72, 4*q = s - 4*s + 63. Let h be 84/70 + (-5)/s. Let y(z) = z**2. Determine y(h). 1 Let i(f) = -2*f**3 + 13*f**2 + 13*f - 8. Let j(z) = z**3 - 7*z**2 - 7*z + 4. Let x(d) = -4*i(d) - 7*j(d). Suppose 0 = -4*k + 5*u - 13, 5*u - 15 = 10. Give x(k). -5 Let l(u) be the first derivative of -u**2/2 - 5*u - 240. Let g(w) = w + 2. Let m be g(-5). Let y be m/(-1) - (-7)/(-1). Calculate l(y). -1 Let z(y) = -355*y + 2853. Let k be z(8). Let f(m) = 10*m - 52. Determine f(k). 78 Let x(u) = -8*u**2 + 47*u - 2. Let d be x(6). Let n(w) = -w**2 - 14*w - 25. Give n(d). 23 Let l(w) = -w**2 + 2*w + 4*w**2 - 5*w**2 - 5*w**2 - 1. Suppose -4*b - 2 = -2*g, 213*b = 211*b - 5*g + 29. Give l(b). -25 Let r(f) be the third derivative of -f**6/120 + 3*f**5/20 + 7*f**4/12 - 7*f**3/3 - f**2 - 135*f. Give r(10). 26 Let x be (-6)/15 - (-6)/15. Let w(y) = y**3 - y**2 - 11*y. Give w(x). 0 Let f(d) = 6*d + 13. Suppose 35*w - 32*w + 15 = 3*y, 0 = -4*y. What is f(w)? -17 Let v(a) = a**3 + 5*a**2 - 5*a + 2. Suppose 4*x - 4 = -n, -33 = -2*n - 4*x - 5. Let f = 18 - n. Calculate v(f). -4 Let j(n) = n**3 + 9*n**2 - 10*n + 4. Let u be j(-10). Let g(b) = 7*b - 18. Determine g(u). 10 Let o(i) be the second derivative of i**6/360 + i**4/24 - 109*i**3/6 + 24*i. Let h(c) be the second derivative of o(c). Calculate h(0). 1 Let p(i) = -30*i + 107. Let u(r) = -5*r + 1. Let b(j) = -p(j) + 5*u(j). Let d be b(19). Let y(c) = -c**3 - 8*c**2 - 6*c + 4. Give y(d). -3 Let v = -63 - -78. Let p = v - 12. Suppose 6*x + p*f + 16 = 2*x, x - 5*f = -4. Let i(b) = b**2 + 6*b + 4. Give i(x). -4 Let v(i) = 7*i - 52. Let g(y) = 8*y - 62. Let f(s) = 6*g(s) - 7*v(s). Suppose -3*o = -0*o + 5*c - 39, 5*o = -4*c + 52. Determine f(o). -16 Let q be (-1 + 0)/((-1)/2). Suppose 3 + q = c, 2*y - 5*c = -19. Let m(i) = i**2 - 3 - 9*i + 4 + 2 + 7*i. Determine m(y). 6 Let z = 45 + 11. Let n = z - 38. Suppose 0 = n*c - 15*c - 18. Let l(t) = -t**3 + 6*t**2 + 2*t - 3. Determine l(c). 9 Let k(h) = 1 + 30*h**2 - 13*h**2 + h**3 + 6*h - 25*h**2. Let g(x) = x**2 - 2. Let j be (-2)/(2 + -8)*9. Let d be g(j). Give k(d). -6 Suppose -2*a = -4*a - 8, 3*d - 4*a = 40. Let h be d/(-6)*(-27)/18. Let y(u) = -u - 119*u**2 + 3*u**3 - 8 + 124*u**2 - 5*u - h*u**3. Give y(-6). -8 Let d be ((-45)/(-30))/((-1)/(-2)). Let t(w) = -d*w + 14*w + 1 - w - w. Give t(-1). -8 Suppose 2*k - 3*k + 4 = 0. Suppose k*i - 112 = -120. Let g(s) = 4*s - 2. What is g(i)? -10 Let l(r) = -3*r**3 + 1374331*r - 1 - 30*r**2 - 1374331*r. What is l(-10)? -1 Let f(q) = 57*q - 342. Let v be f(6). Let m(z) = -6*z**2 - 2*z - 5. Determine m(v). -5 Let t(h) = -7*h + 2*h + 2*h - 3 + h**2. Suppose 0 = -2*s - 5*o + 38, 21*s - 24*s + 3*o = 6. Give t(s). 1 Let b(r) = -3*r**3 - r + 7. Let q(f) = 8*f**3 + 3*f - 20. Let v(c) = -11*b(c) - 4*q(c). Let w(z) = z**3 + 7*z**2 - 99*z + 7. Let u be w(7). Calculate v(u). 3 Let m(v) = 52*v**3 + 4*v + 8*v + 66*v**3 - 183*v**3 + 66*v**3 - 9*v**2. Determine m(8). 32 Let f = 194 - 191. Let r(c) be the third derivative of -c**6/360 - c**5/120 + c**4/4 + 8*c**2. Let i(y) be the second derivative of r(y). Determine i(f). -7 Suppose -8 = 12*t + 40. Let z(p) = -9 + 8*p**2 - 3*p**2 - 2*p**2 - 7*p + 3 + p**3. Determine z(t). 6 Let z(n) = 42*n - 2. Let d(r) = -42*r + 2. Let k(m) = 4*d(m) + 5*z(m). Determine k(-1). -44 Let o(f) = 2*f**3 + 2*f**2 - 3*f + 4. Let h(j) = 4*j**3 + 4*j**2 - 7*j + 9. Let x(k) = -6*h(k) + 13*o(k). What is x(-4)? -110 Let m(b) be the second derivative of -b**4/12 + b**3/3 - b**2/2 + 162*b. Let a = -15 + 15. Suppose a = w + z - 6*z + 24, 0 = z - 5. Give m(w). 0 Let o(z) be the second derivative of -z**3/3 + 26*z**2 + z. Let c be o(22). Let t(x) = 1 + 4*x + c*x + 4*x. Calculate t(1). 17 Let i be ((-3)/(21/(-4)))/((-10)/(-35)). Let d(r) = -30*r**3 + i*r**2 + 17*r**3 + 2*r + 14*r**3 + 1. Let j = 12 - 14. Determine d(j). -3 Let d(n) = n**3 + 4*n**2 + 2. Let x be 90/495 - (-260)/22. Suppose 22*u = x*u -
{ "pile_set_name": "DM Mathematics" }
1/10 What is prob of picking 2 z and 1 f when three letters picked without replacement from {f: 2, s: 4, z: 8}? 2/13 Two letters picked without replacement from {l: 5, s: 12, g: 2}. Give prob of picking 1 l and 1 s. 20/57 What is prob of picking 1 w and 1 q when two letters picked without replacement from bbwwwwuqbw? 1/9 Four letters picked without replacement from evvvvevvevveveee. What is prob of picking 1 e and 3 v? 21/65 What is prob of picking 3 s when three letters picked without replacement from ossooooooos? 1/165 What is prob of picking 1 w and 1 v when two letters picked without replacement from {v: 3, a: 7, q: 8, w: 2}? 3/95 Two letters picked without replacement from xbb. Give prob of picking 2 b. 1/3 What is prob of picking 1 r and 1 j when two letters picked without replacement from {k: 8, j: 3, t: 3, r: 2}? 1/20 Calculate prob of picking 1 d, 1 v, and 1 b when three letters picked without replacement from {v: 5, d: 7, b: 1, g: 2, j: 1, w: 1}. 7/136 Two letters picked without replacement from {p: 3, y: 5, b: 1, z: 2, h: 1}. Give prob of picking 1 p and 1 b. 1/22 Calculate prob of picking 2 r when two letters picked without replacement from {a: 2, l: 10, r: 2}. 1/91 What is prob of picking 3 w when three letters picked without replacement from {n: 2, m: 1, w: 11, v: 1}? 33/91 What is prob of picking 1 x and 1 r when two letters picked without replacement from xmmmxmxrrmxummmxxxm? 14/171 What is prob of picking 1 v and 1 b when two letters picked without replacement from tbvmvtbvobbbmbbtbob? 3/19 Three letters picked without replacement from {u: 3, q: 1, a: 5, h: 2, p: 1, t: 1}. What is prob of picking 2 u and 1 a? 15/286 Three letters picked without replacement from {d: 6, h: 1, y: 6, r: 6}. Give prob of picking 2 y and 1 r. 30/323 Calculate prob of picking 1 w and 2 f when three letters picked without replacement from dwtffwwfwrfftrff. 3/20 Four letters picked without replacement from vyevvyyyevevyyvvv. What is prob of picking 1 y and 3 v? 12/85 Three letters picked without replacement from {x: 3, s: 3, z: 2, b: 2, v: 5}. What is prob of picking 3 s? 1/455 Two letters picked without replacement from {c: 6, w: 4}. What is prob of picking 2 c? 1/3 Calculate prob of picking 2 k and 2 p when four letters picked without replacement from kdrkpjkjkkppdppk. 15/182 Three letters picked without replacement from {k: 2, p: 6, j: 3, f: 1, n: 2}. Give prob of picking 1 f and 2 n. 1/364 What is prob of picking 1 y and 1 h when two letters picked without replacement from hhyy? 2/3 Calculate prob of picking 2 d, 1 u, and 1 x when four letters picked without replacement from doxeoexueoueeoddoood. 8/1615 Three letters picked without replacement from {y: 1, x: 2, e: 1}. What is prob of picking 1 y and 2 x? 1/4 Four letters picked without replacement from {a: 3, z: 13}. Give prob of picking 3 z and 1 a. 33/70 Three letters picked without replacement from nnnosxsnskssr. Give prob of picking 1 x, 1 s, and 1 n. 10/143 Two letters picked without replacement from {x: 4, m: 1, g: 2, q: 1}. Give prob of picking 1 g and 1 x. 2/7 What is prob of picking 4 q when four letters picked without replacement from qqqqq? 1 Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {w: 1, l: 3}. 1/2 Three letters picked without replacement from qqqqqqqqqkkqqqqqqq. Give prob of picking 2 q and 1 k. 5/17 Two letters picked without replacement from {m: 1, v: 2, p: 2}. Give prob of picking 2 v. 1/10 Three letters picked without replacement from {q: 4, w: 3}. Give prob of picking 3 q. 4/35 Two letters picked without replacement from ccmcgcdgdcdmg. Give prob of picking 1 c and 1 d. 5/26 What is prob of picking 2 d and 1 v when three letters picked without replacement from ldlvlrs? 0 Calculate prob of picking 1 e and 1 o when two letters picked without replacement from exeooexeeeonxxxe. 7/40 Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {x: 1, a: 3, g: 1}. 3/10 Calculate prob of picking 1 j, 1 l, and 1 v when three letters picked without replacement from rttrljvv. 1/28 Calculate prob of picking 2 t and 1 x when three letters picked without replacement from {v: 6, g: 4, n: 1, k: 2, x: 2, t: 3}. 1/136 Two letters picked without replacement from lsdddslsdsdsssddrdds. What is prob of picking 1 d and 1 r? 9/190 Calculate prob of picking 3 p and 1 y when four letters picked without replacement from {p: 7, y: 4, q: 2, v: 1}. 20/143 What is prob of picking 1 l and 2 c when three letters picked without replacement from {g: 5, y: 1, c: 5, r: 5, l: 1}? 1/68 What is prob of picking 1 v and 3 d when four letters picked without replacement from vddvvmmvdvvd? 8/165 Two letters picked without replacement from ndnndnn. Give prob of picking 1 d and 1 n. 10/21 Four letters picked without replacement from toataqtggzztqg. What is prob of picking 2 q and 2 a? 1/1001 Calculate prob of picking 1 r, 1 l, and 1 v when three letters picked without replacement from {v: 9, r: 1, l: 1}. 3/55 Calculate prob of picking 2 d when two letters picked without replacement from dddaad. 2/5 Four letters picked without replacement from {c: 2, r: 3, o: 2, m: 8}. What is prob of picking 2 o and 2 m? 4/195 Calculate prob of picking 2 n and 1 c when three letters picked without replacement from vzzzznzzciniiiiz. 1/560 Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, c: 1, l: 4, m: 2}. 4/165 Calculate prob of picking 2 j and 1 t when three letters picked without replacement from tjjjttttttjtttjjjjtj. 33/95 What is prob of picking 1 m, 1 v, and 1 q when three letters picked without replacement from {x: 2, m: 2, q: 2, v: 8}? 8/91 Four letters picked without replacement from whmqqwihwiwwiqw. What is prob of picking 3 i and 1 w? 2/455 Calculate prob of picking 3 s when three letters picked without replacement from {s: 9}. 1 Four letters picked without replacement from jjpjepppejjjpeej. What is prob of picking 4 e? 1/1820 Two letters picked without replacement from {x: 3, l: 5, b: 1, t: 1, c: 3, d: 2}. What is prob of picking 1 b and 1 t? 1/105 What is prob of picking 2 f and 1 r when three letters picked without replacement from {p: 1, r: 6, f: 6, v: 1, t: 5}? 30/323 Three letters picked without replacement from {e: 5, k: 2, t: 1, i: 8, p: 1}. Give prob of picking 3 e. 1/68 Calculate prob of picking 1 f, 1 w, and 1 o when three letters picked without replacement from {q: 1, w: 2, f: 1, o: 2}. 1/5 Two letters picked without replacement from goooooooooooooo. Give prob of picking 2 o. 13/15 Calculate prob of picking 3 m when three letters picked without replacement from {c: 1, m: 2}. 0 What is prob of picking 2 f and 1 a when three letters picked without replacement from {v: 3, a: 1, f: 3, w: 5}? 3/220 Two letters picked without replacement from {y: 7, z: 3, c: 1, d: 6}. What is prob of picking 1 c and 1 z? 3/136 What is prob of picking 3 u and 1 a when four letters picked without replacement from bbuaabaaaaauaabuaua? 11/969 Three letters picked without replacement from ogvgggvgovggvoogggoo. Give prob of picking 1 g, 1 v, and 1 o. 4/19 Three letters picked without replacement from egevrkkjrevv. What is prob of picking 1 j, 1 g, and 1 e? 3/220 Four letters picked without replacement from pvvcvcspcpcccccccspv. What is prob of picking 4 v? 1/4845 Calculate prob of picking 3 b when three letters picked without replacement from {b: 10, r: 10}. 2/19 What is prob of picking 2 t when two letters picked without replacement from tthfp? 1/10 What is prob of picking 1 d and 2 o when three letters picked without replacement from {j: 1, d: 2, l: 6, t: 1, c: 6, o: 2}? 1/408 Two letters picked without replacement from {a: 3, e: 5}. Give prob of picking 2 a. 3/28 Two letters picked without replacement from hqaq. Give prob of picking 1 h and 1 q. 1/3 Calculate prob of picking 1 x and 1 k when two letters picked without replacement from jkmnmxnk. 1/14 Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, h: 1, m: 2}. 1/10 Calculate prob of picking 2 f and 1 l when three letters picked without replacement from ffffflfllffflfffff. 91/204 Two letters picked without replacement from jfojofjjjjj. Give prob of
{ "pile_set_name": "DM Mathematics" }
42 Convert 202001300012 (base 4) to base 16. 881c06 What is -231303010 (base 4) in base 16? -2dcc4 What is -1891d (base 16) in base 8? -304435 Convert -6310020 (base 7) to base 14. -15a710 What is -110b8 (base 14) in base 2? -1010000101101010 -504521 (base 8) to base 16 -28951 What is 704723 (base 8) in base 15? 48a96 Convert -194f32 (base 16) to base 12. -67ba6a 11101111100010011010001 (base 2) to base 7 123500606 What is 533421443 (base 6) in base 5? 4402140224 Convert -51490 (base 13) to base 10. -145795 Convert 807693 (base 12) to base 4. 13221030033 Convert 10011000010010010001100 (base 2) to base 14. 93c792 What is -4c1d2 (base 15) in base 13? -86a4a -210479 (base 10) to base 13 -74a59 What is 1100011220 (base 3) in base 12? 13320 -2b7a74 (base 13) to base 10 -1073921 -22203512 (base 7) to base 12 -785655 What is 1837215 (base 10) in base 4? 13000202133 What is -24303646 (base 8) in base 9? -11043364 What is -13100212 (base 5) in base 2? -11111010010110110 -1110606 (base 9) to base 3 -1010100200020 What is 1221331332 (base 4) in base 15? 88916 Convert -7b393 (base 13) to base 4. -312313101 What is 2213020000 (base 4) in base 14? 13b680 What is 132323211 (base 4) in base 13? 45888 Convert 11110000111100101101 (base 2) to base 3. 1212010210210 -130536 (base 8) to base 7 -246244 -10110111000111111 (base 2) to base 16 -16e3f Convert 134850 (base 13) to base 14. c2381 46202 (base 9) to base 14 b30a Convert -2630261 (base 8) to base 15. -e745b What is 48111 (base 12) in base 9? 156854 Convert 212530211 (base 6) to base 10. 3775327 Convert -52aa5a (base 14) to base 9. -5230545 -1e9a8c (base 15) to base 3 -2211020211020 32323 (base 4) to base 13 586 What is -23223110 (base 6) in base 16? -af752 What is -401333 (base 6) in base 4? -13223121 What is -55102635 (base 8) in base 10? -11830685 Convert 64307 (base 8) to base 7. 141126 1331023131 (base 4) to base 14 d4bdb 98072 (base 10) to base 15 1e0d2 Convert -5353430 (base 8) to base 3. -2200201101212 What is 15665330 (base 7) in base 9? 2780248 Convert -97825 (base 11) to base 6. -3013441 Convert 1100000010110000000 (base 2) to base 13. 10a809 -1033120102 (base 4) to base 3 -121112000011 What is -31541062 (base 7) in base 16? -28edc0 Convert -11001001101111101001000 (base 2) to base 11. -3805842 1010001100110010000 (base 2) to base 3 121222110200 Convert -1533311 (base 6) to base 4. -112001023 What is d25db1 (base 15) in base 10? 9993091 480580 (base 12) to base 8 4335460 Convert 20022201012 (base 3) to base 10. 124448 101010110011101010101 (base 2) to base 5 324341314 1829c0 (base 16) to base 13 435a19 d25734 (base 14) to base 8 33013242 -311562 (base 9) to base 2 -101101001001000010 -326656 (base 7) to base 2 -1110000100010000 4246363 (base 7) to base 16 7dfe0 What is -969 (base 11) in base 8? -2214 What is -72051 (base 8) in base 11? -20384 -111113021 (base 4) to base 2 -10101010111001001 Convert -60c03 (base 16) to base 13. -10b4bc What is -41211304 (base 5) in base 3? -122000210222 -1010010001101010 (base 2) to base 3 -2010201220 What is -3224663 (base 7) in base 2? -1011111111101110010 3716a (base 13) to base 14 28cd1 What is 2d43 (base 16) in base 3? 120220011 2846152 (base 12) to base 4 132232311032 190953 (base 10) to base 13 68bb9 What is 11111000100111010100 (base 2) in base 5? 230041244 What is 554480 (base 9) in base 13? b7a95 Convert 28886a (base 11) to base 4. 1232011222 What is -774742 (base 11) in base 7? -13335451 Convert 2ea39 (base 15) to base 12. 73330 64675 (base 14) to base 15 4bdd6 Convert -2121102332 (base 4) to base 10. -627902 Convert -101011011000110001011 (base 2) to base 7. -15040630 Convert -9a2701 (base 11) to base 5. -402140004 Convert -1194705 (base 11) to base 14. -3bc80d 78368 (base 11) to base 2 11011101110100100 -37c767 (base 16) to base 5 -1413434102 What is -20111111122011 (base 3) in base 10? -3454465 359b4a (base 12) to base 2 11010011110000101010 What is 5001030 (base 6) in base 5? 24433024 What is 10110011110010001 (base 2) in base 16? 16791 Convert -23ca4 (base 15) to base 10. -114229 Convert -1000111010101101001 (base 2) to base 7. -2324620 Convert 14798a2 (base 11) to base 7. 30341626 a139 (base 16) to base 4 22010321 -3315667 (base 8) to base 13 -252c15 What is -143221342 (base 5) in base 13? -206b74 1110111000011101 (base 2) to base 15 130dc -11100100010110001111010 (base 2) to base 10 -7482490 Convert -515242424 (base 6) to base 7. -135632431 -1112113244 (base 5) to base 3 -11121211211000 What is -2244344123 (base 5) in base 3? -100112211110202 What is 11100012201 (base 3) in base 8? 246707 What is -10918 (base 13) in base 5? -1430403 -2266a98 (base 11) to base 3 -21110022100120 What is -521141 (base 6) in base 2? -1010001100010101 52367 (base 14) to base 16 30667 -300313133 (base 4) to base 2 -110000110111011111 211020022202101 (base 3) to base 14 17d8290 b8380 (base 14) to base 9 747657 -12022012102121 (base 3) to base 5 -1210144002 -2004400400 (base 5) to base 14 -758d02 -155427 (base 8) to base 14 -16623 Convert -1145188 (base 10) to base 15. -1794ad What is aac892 (base 13) in base 5? 2012321000 What is 78068 (base 12) in base 8? 466520 Convert -21431631 (base 8) to base 15. -60d2a4 What is -10101101110100000110 (base 2) in base 12? -2a4006 -4203451 (base 7) to base 10 -505471 Convert 31001132120 (base 4) to base 12. 1187788 What is -2442161 (base 7) in base 2? -1001100011001001100 What is 20119 (base 13) in base 12? 29201 What is 7d5f0 (base 16) in base 3? 222002102021 What is 443415 (base 8) in base 16? 2470d -1175574 (base 8) to base 9 -546814 1121331300 (base 4) to base 16 59f70 Convert 729633 (base 10) to base 16. b2221 What is -150100423 (base 6) in base 11? -1819534 -285c6 (base 15) to base 8 -375031 What is -3402002213 (base 5) in base 9? -15020162 What is 256a489 (base 12) in base 16? 704829 7de8 (base 15) to base 8 64220 What is -14116 (base 11) in base 4? -10322013 Convert -8725174 (base 9) to base 2. -10001110111000000111010 Convert 12448 (base 12) to base 4. 12003320 100211102211 (base 3) to base 4 233033200 Convert 1d6ce1 (base 15) to base 11. 8a4432 What is 88a15b (base 16) in base 13? 1b1685b Convert -7c44d (base 15) to base 14. -a438c What is -40bc4c (base 15) in base 6? -145543113 122113100 (base 4) to base 9 174112 Convert 31324033 (base 5) to base 6. 5332555 -6376ba (base 12) to base 14 -2cb778 -124033111 (base 5) to base 10 -611656 What is 11543571 (base 8) in base 6? 130245521 -3010414402 (base 5) to base 9 -12170484 Convert 14070440 (base 9) to base 3. 111002100111100 Convert 25151514 (base 7) to base 10. 2264742 265752 (base 14) to base 10 1321308 Convert 12523530 (base 6) to base 15. 831e6 Convert -1000101010011110 (base 2) to base 7. -205313 Convert -30160 (base 15) to base 5. -14332230 Convert 29186 (base 13) to base 3. 10220212022 Convert -11213342 (base 6) to base 4. -1110002132 What is -22020211020 (base 3) in base 10? -162438 Convert 4188211 (base 9) to base 11. 12a2479 -3a7323 (base 11) to base 16 -9c124 What is -56733c (base 14) in base 9? -5470163 Convert 152713 (base 13) to base 6. 15045551 What is -12011304 (base 6) in base 10? -374872 Convert -35112330 (base 7) to base 8. -13575430 Convert -8570195 (base 11) to base 9. -31334441 Convert -144331 (base 9) to base 3. -11111101001 Convert -10110100011101010 (base 2) to base 9. -150660 What is -198852 (base 12) in base 2? -1101101111110111110 Convert 110100021212121 (base 3) to base 6. 352335111 -3323404 (base 6) to base 15 -345c4 Convert b0668a (base 12) to base 13. 753034 Convert 1863d40 (base 14) to base 15. 10d74c5 -320104100 (base 5) to base 7 -14214504 Convert 2063106 (base 7) to base 12. 101170 -13514061 (base 7) to base 12 -50b819 15120435 (base 6) to base 12 21311b -29aa7 (base 14) to base 15 -20a90 10212200020201 (base 3) to base 14 3b8bcb Convert 38a301 (base 15) to base 13. 741c25 What is -213ffa (base 16) in base 2? -1000010011111111111010 Convert -1175718 (base 9) to base 6. -21421542 What is 23441232 (base 5) in base 4? 311103031 1001010101001111111010 (base 2) to base 5 1111240310 Convert -5307275 (base 8) to base 3. -2122202222211 -1324000 (base 5) to base 11 -19109 -1030013043 (base 5) to base 4 -20112103223 -118628 (base 11) to base 2 -101
{ "pile_set_name": "DM Mathematics" }
ate prob of sequence qx when two letters picked without replacement from qxlxyyllxxyqlvylxyq. 5/114 Two letters picked without replacement from qvqkyk. Give prob of sequence qk. 2/15 Three letters picked without replacement from {l: 2, u: 3, o: 1, g: 4, b: 1, h: 1}. What is prob of sequence huo? 1/440 Two letters picked without replacement from {n: 1, j: 1, d: 1}. Give prob of sequence jd. 1/6 Two letters picked without replacement from cccccc. What is prob of sequence cc? 1 Calculate prob of sequence av when two letters picked without replacement from {a: 1, k: 1, v: 2, q: 2, y: 1, i: 1}. 1/28 Two letters picked without replacement from vevjzjv. What is prob of sequence ev? 1/14 Calculate prob of sequence zpp when three letters picked without replacement from {z: 6, p: 2, g: 4}. 1/110 Three letters picked without replacement from {d: 3, p: 1, k: 4, s: 1, a: 1, x: 2}. Give prob of sequence axs. 1/660 Three letters picked without replacement from wwwjwjwwwwjwjwjwww. What is prob of sequence wjw? 65/408 Two letters picked without replacement from {q: 2, f: 5, d: 1, z: 3, r: 6}. What is prob of sequence fz? 15/272 Two letters picked without replacement from {v: 11, z: 5}. Give prob of sequence zv. 11/48 What is prob of sequence uaj when three letters picked without replacement from {a: 4, v: 3, z: 2, h: 1, j: 6, u: 2}? 1/102 What is prob of sequence vy when two letters picked without replacement from svrrxsxsssssvsydsvds? 3/380 Calculate prob of sequence ccx when three letters picked without replacement from {x: 1, q: 1, i: 2, c: 1, s: 1, m: 1}. 0 What is prob of sequence hvh when three letters picked without replacement from {m: 3, b: 5, h: 4, j: 1, v: 1, x: 1}? 2/455 Calculate prob of sequence uuiu when four letters picked without replacement from {i: 3, u: 1, s: 4}. 0 Three letters picked without replacement from uibwwbweuub. Give prob of sequence ubb. 1/55 Calculate prob of sequence mtt when three letters picked without replacement from vmmivtkvvtivtmtkvv. 1/136 Four letters picked without replacement from rrrr. Give prob of sequence rrrr. 1 Three letters picked without replacement from {u: 1, v: 1, l: 1}. What is prob of sequence vul? 1/6 Calculate prob of sequence rk when two letters picked without replacement from {t: 8, g: 1, k: 1, r: 5, b: 2}. 5/272 Two letters picked without replacement from ghdhhghggg. What is prob of sequence hg? 2/9 Three letters picked without replacement from gdlekdgelkllrd. What is prob of sequence kkg? 1/546 Calculate prob of sequence eqm when three letters picked without replacement from {q: 1, a: 1, e: 1, m: 1, p: 2, w: 1}. 1/210 Two letters picked without replacement from {c: 2, b: 4, d: 4, w: 5, q: 1}. Give prob of sequence bc. 1/30 What is prob of sequence hhhh when four letters picked without replacement from hhhhhhh? 1 Three letters picked without replacement from {x: 1, h: 2}. What is prob of sequence xhh? 1/3 Calculate prob of sequence rh when two letters picked without replacement from {h: 5, y: 1, i: 3, x: 3, r: 1}. 5/156 Calculate prob of sequence smb when three letters picked without replacement from sbmzbbddbbd. 1/198 Calculate prob of sequence bii when three letters picked without replacement from {i: 2, b: 4}. 1/15 Three letters picked without replacement from {s: 3, t: 1}. Give prob of sequence sss. 1/4 Four letters picked without replacement from {o: 1, n: 1, t: 1, z: 1, a: 1}. What is prob of sequence ataa? 0 Two letters picked without replacement from iiduiiqqxucx. What is prob of sequence cd? 1/132 What is prob of sequence pppq when four letters picked without replacement from {q: 2, p: 6}? 1/7 Three letters picked without replacement from uiiiiuuuuu. What is prob of sequence iui? 1/10 Calculate prob of sequence hp when two letters picked without replacement from pppphhphhp. 4/15 Two letters picked without replacement from zhhhhzmhhhwnghh. Give prob of sequence hz. 3/35 Four letters picked without replacement from {t: 2, q: 3}. Give prob of sequence qqqt. 1/10 Four letters picked without replacement from {h: 2, r: 5, f: 1, t: 5, v: 1, z: 1}. What is prob of sequence ztvr? 5/6552 Four letters picked without replacement from {h: 3, c: 3, j: 5, k: 1}. What is prob of sequence hhcc? 1/330 Three letters picked without replacement from euuueuueuueueeeu. What is prob of sequence euu? 3/20 What is prob of sequence qdql when four letters picked without replacement from qwlldlkqdq? 1/140 Calculate prob of sequence nuun when four letters picked without replacement from unnnuunn. 1/14 Two letters picked without replacement from jmgmadgrjamrjam. Give prob of sequence rd. 1/105 Three letters picked without replacement from kwidddiwikdgiwwii. Give prob of sequence wgd. 1/255 What is prob of sequence ll when two letters picked without replacement from rlolooloolrool? 10/91 What is prob of sequence bge when three letters picked without replacement from {g: 8, b: 6, e: 3, d: 1}? 1/34 Three letters picked without replacement from vstttfatfs. Give prob of sequence vss. 1/360 Three letters picked without replacement from qlqqqqqqlqqqqqqqlqqq. What is prob of sequence lqq? 34/285 Two letters picked without replacement from {f: 1, j: 2, c: 1, g: 1, l: 2, n: 1}. Give prob of sequence jf. 1/28 Calculate prob of sequence vy when two letters picked without replacement from fyayyjayyyvfyyvya. 9/136 Three letters picked without replacement from {x: 5, j: 1, z: 1, b: 4}. What is prob of sequence bjx? 2/99 Three letters picked without replacement from {e: 14, o: 4}. Give prob of sequence eoe. 91/612 Two letters picked without replacement from {a: 5, b: 6, l: 2}. Give prob of sequence ab. 5/26 Calculate prob of sequence ppo when three letters picked without replacement from opoppppopppp. 9/55 What is prob of sequence uh when two letters picked without replacement from jggwggwhghggghggggu? 1/114 What is prob of sequence vwav when four letters picked without replacement from vavvvvvvvawvvv? 5/546 Three letters picked without replacement from swwvvvwvvcvwhvhwhs. Give prob of sequence whh. 5/816 Calculate prob of sequence tjgt when four letters picked without replacement from tggjttttgtgtgg. 3/286 What is prob of sequence crlx when four letters picked without replacement from {r: 4, m: 2, x: 3, l: 6, c: 1}? 3/1820 Calculate prob of sequence syx when three letters picked without replacement from {g: 1, s: 1, y: 2, x: 4}. 1/42 Three letters picked without replacement from {m: 10, b: 9}. What is prob of sequence bbm? 40/323 Four letters picked without replacement from meememmmmmmememm. Give prob of sequence eeee. 1/364 Calculate prob of sequence rtr when three letters picked without replacement from ltbktbrrbtr. 1/55 Two letters picked without replacement from xdrie. Give prob of sequence er. 1/20 What is prob of sequence bfs when three letters picked without replacement from {b: 2, f: 1, s: 1, u: 3}? 1/105 Three letters picked without replacement from {w: 9, n: 2, y: 1, u: 4}. What is prob of sequence nny? 1/1680 What is prob of sequence gt when two letters picked without replacement from gttogttgttgggg? 3/13 What is prob of sequence sbsu when four letters picked without replacement from {i: 2, s: 3, u: 3, d: 1, b: 1, o: 1}? 1/440 Two letters picked without replacement from yycccqciccicynccccc. What is prob of sequence qy? 1/114 Calculate prob of sequence vc when two letters picked without replacement from vvvcvcvcvvcvvcvcvvc. 14/57 Four letters picked without replacement from {t: 5, z: 2, u: 5, s: 7}. What is prob of sequence zuuz? 5/11628 Four letters picked without replacement from poqqqqqqqoqqqpqqtqtp. Give prob of sequence oqto. 13/29070 Four letters picked without replacement from {q: 2, c: 1, s: 1, v: 1, m: 1, b: 1}. What is prob of sequence vqms? 1/420 Four letters picked without replacement from eqhehexeeqxeh. Give prob of sequence exhx. 3/1430 Two letters picked without replacement from {l: 4, x: 4, t: 12}. What is prob of sequence tt? 33/95 Two letters picked without replacement from innpp. Give prob of sequence ip. 1/10 What is prob of sequence cpuu when four letters picked without replacement from putppctptcupp? 1/715 Four letters picked without replacement from aaaaaaggamm. What is prob of sequence maag? 7/330
{ "pile_set_name": "DM Mathematics" }
-0.059 What is 0.61981474 rounded to 3 dps? 0.62 What is 0.1582949906 rounded to 3 decimal places? 0.158 Round -0.01483007412 to 6 decimal places. -0.01483 Round -186.378057 to the nearest 10. -190 Round -133.610017 to one decimal place. -133.6 What is 0.3946200781 rounded to four dps? 0.3946 Round 8182.4267 to the nearest ten. 8180 What is 130.505626 rounded to zero decimal places? 131 Round 0.041972373 to 3 decimal places. 0.042 Round 948102.7803 to the nearest one hundred thousand. 900000 What is -0.014419852325 rounded to five dps? -0.01442 What is -0.00000560034398 rounded to seven decimal places? -0.0000056 What is 883.76118 rounded to the nearest integer? 884 Round -39.934402 to the nearest 10. -40 What is 0.5351179715 rounded to one dp? 0.5 What is 0.00000156329051 rounded to seven decimal places? 0.0000016 What is 0.00457811296 rounded to 5 decimal places? 0.00458 What is -200882966 rounded to the nearest one hundred thousand? -200900000 What is 100831.5029 rounded to the nearest 1000? 101000 What is -459358.816 rounded to the nearest 1000? -459000 Round -178616.8605 to the nearest one thousand. -179000 What is -657036.74 rounded to the nearest 100000? -700000 Round -26218.9832 to the nearest ten. -26220 Round 3291566670 to the nearest 100000. 3291600000 Round 0.773007355 to three dps. 0.773 Round 5340026.55 to the nearest ten thousand. 5340000 What is 1768264.78 rounded to the nearest 1000? 1768000 What is 270.194396 rounded to the nearest ten? 270 What is -0.00150910227 rounded to five dps? -0.00151 What is -1.94559422 rounded to one dp? -1.9 Round 23755.907 to the nearest 10. 23760 Round -0.04551869665 to 6 decimal places. -0.045519 Round -2632236.96 to the nearest one thousand. -2632000 What is -0.00946155125 rounded to 5 decimal places? -0.00946 What is -14992757.67 rounded to the nearest one hundred thousand? -15000000 Round -93.649691 to one decimal place. -93.6 What is 30536257 rounded to the nearest ten thousand? 30540000 Round -24303934.11 to the nearest one hundred thousand. -24300000 Round 4257528.734 to the nearest one thousand. 4258000 Round 2.756377009 to two decimal places. 2.76 Round -313560060 to the nearest one hundred thousand. -313600000 What is -0.00013589068 rounded to seven dps? -0.0001359 What is -171860.6163 rounded to the nearest 10000? -170000 What is 348410.393 rounded to the nearest ten? 348410 What is 0.01455089332 rounded to 4 dps? 0.0146 Round -7.315676109 to zero decimal places. -7 Round 56.72307371 to the nearest ten. 60 What is -0.021705225 rounded to five dps? -0.02171 Round 0.011876343 to five decimal places. 0.01188 Round -11072.8499 to 0 decimal places. -11073 Round 62167468910 to the nearest 1000000. 62167000000 What is -285.23592 rounded to two decimal places? -285.24 What is 131068044.95 rounded to the nearest ten thousand? 131070000 Round 9.8823252 to 3 dps. 9.882 Round -576324.0933 to the nearest one hundred thousand. -600000 What is -321.576865 rounded to the nearest integer? -322 Round 0.00000131673323 to seven decimal places. 0.0000013 Round -2368635.48 to the nearest one thousand. -2369000 Round 0.02681847 to three dps. 0.027 What is -0.004043662231 rounded to 7 dps? -0.0040437 What is 41290.3388 rounded to the nearest 100? 41300 What is 0.00000767264224 rounded to 7 decimal places? 0.0000077 Round 38.790812 to zero decimal places. 39 What is 184515180 rounded to the nearest 1000000? 185000000 Round 10751.962 to the nearest 100000. 0 Round -0.004240620928 to six decimal places. -0.004241 Round 12.171760831 to three dps. 12.172 What is -14505.53363 rounded to the nearest 10? -14510 Round 18103.6001 to the nearest ten. 18100 What is 8144522.1 rounded to the nearest ten thousand? 8140000 What is -0.0462496608 rounded to six decimal places? -0.04625 Round -94.7665545 to two dps. -94.77 Round -223074943 to the nearest one million. -223000000 What is -9117182710 rounded to the nearest 1000000? -9117000000 Round 413.205565 to two decimal places. 413.21 What is -57.684152 rounded to one decimal place? -57.7 Round 5286903.04 to the nearest 10000. 5290000 What is -0.0200766294 rounded to 4 dps? -0.0201 Round -0.2504797106 to 4 dps. -0.2505 What is 129919126.72 rounded to the nearest 100000? 129900000 What is 914.048798 rounded to the nearest 10? 910 What is -86586888.9 rounded to the nearest one thousand? -86587000 Round -6944536.484 to the nearest one hundred. -6944500 What is 0.000109767232 rounded to seven dps? 0.0001098 Round -0.89515 to one dp. -0.9 What is 703.5667 rounded to the nearest 1000? 1000 What is -74647941.48 rounded to the nearest one hundred thousand? -74600000 Round 2.928040763 to the nearest integer. 3 Round 15502.42 to the nearest 10. 15500 What is -26181.75966 rounded to the nearest one thousand? -26000 Round -1134567.69 to the nearest 100000. -1100000 What is -4426.50332 rounded to the nearest integer? -4427 What is -1.0605727859 rounded to 5 decimal places? -1.06057 Round 45160518.83 to the nearest one hundred thousand. 45200000 What is -14.4308239 rounded to three decimal places? -14.431 Round 7454530904 to the nearest 1000000. 7455000000 What is -0.013312259 rounded to 5 decimal places? -0.01331 What is -2733793.577 rounded to the nearest one hundred? -2733800 What is -0.475309102 rounded to three decimal places? -0.475 Round -545.25972 to zero decimal places. -545 What is 0.00009207984 rounded to 5 decimal places? 0.00009 What is -2140.0936 rounded to the nearest 1000? -2000 What is 0.0039053562 rounded to 3 decimal places? 0.004 What is 6.082075 rounded to 2 decimal places? 6.08 What is 0.0892697654 rounded to 2 dps? 0.09 Round -3365.97546 to the nearest ten. -3370 What is -36375688 rounded to the nearest 100000? -36400000 Round 0.000033557479 to six decimal places. 0.000034 Round -0.000788292949 to 5 decimal places. -0.00079 What is 20.1083199 rounded to 0 dps? 20 What is 0.03972362744 rounded to 3 dps? 0.04 What is 0.00593048187 rounded to five decimal places? 0.00593 What is -0.02530586759 rounded to six dps? -0.025306 Round -0.49241679 to three dps. -0.492 Round -0.137299614 to two decimal places. -0.14 What is 1.7889838367 rounded to two decimal places? 1.79 Round -618108065 to the nearest ten thousand. -618110000 What is 0.0000553690062 rounded to six dps? 0.000055 What is 59144.97058 rounded to the nearest 100? 59100 What is 18853.9895 rounded to the nearest 10? 18850 Round -20743474.362 to the nearest 1000. -20743000 What is 25.37488287 rounded to three dps? 25.375 What is 1571.749742 rounded to 2 decimal places? 1571.75 What is 0.000474279572 rounded to 5 decimal places? 0.00047 What is 15545553 rounded to the nearest one thousand? 15546000 Round -0.0784374018 to 5 dps. -0.07844 Round 374.03274 to the nearest one hundred. 400 What is 0.00173839386 rounded to four decimal places? 0.0017 What is -5018969 rounded to the nearest 1000? -5019000 What is 14.47866584 rounded to 2 dps? 14.48 Round 446.656403 to the nearest one hundred. 400 What is 903253309 rounded to the nearest one hundred thousand? 903300000 Round 33413.2706 to the nearest one thousand. 33000 What is 8895.9976 rounded to the nearest one thousand? 9000 Round 0.0198588981 to four decimal places. 0.0199 Round 1791.57071 to two decimal places. 1791.57 Round -647.34931 to 1 dp. -647.3 Round 16.82509912 to the nearest integer. 17 Round 0.04728435 to four decimal places. 0.0473 Round -0.329551284 to 2 dps. -0.33 What is 5506928.7 rounded to the nearest 1000000? 6000000 Round 0.00089514478 to five decimal places. 0.0009 Round -0.31890853 to 2 dps. -0.32 Round 0.000632894408 to six dps. 0.000633 Round -103538592.9 to the nearest ten thousand. -103540000 What is -95466363.53 rounded to the nearest one thousand? -95466000 Round -3703.163506 to the nearest 1000. -4000 What is -3252175110 rounded to the nearest one hundred thousand? -3252200000 What is 1000498.9 rounded to the nearest one thousand? 1000000 What is -0.0003436343996 rounded to six decimal places? -0.000344 What is 847557.47 rounded to the nearest 100? 847600 Round -0.00027842204 to 6 dps. -0.000278 Round -2102380312 to the nearest 100000. -2102400000 Round -1.276030521 to one dp. -1.3 Round -378.628553 to one dp. -378.6 Round -379222080 to th
{ "pile_set_name": "DM Mathematics" }
- 11. Let r(o) = o**2 + 21*o - 4. Let g(f) = -4*i(f) + 11*r(f). What is the second derivative of g(y) wrt y? -10 What is the third derivative of 3*t**5 - 82*t**2 + 62*t**2 - 6*t**5 - 7*t**5 wrt t? -600*t**2 Let g be 1/(-1) + 0 - -1. Suppose g - 4 = c, h + c - 2 = 0. What is the third derivative of 9*n**6 + n**2 + n**2 - 11*n**h wrt n? -240*n**3 Suppose d - 3*y + 19 = 6*d, -5*d + y = -7. Let r be 2/5*(-5)/(-1). What is the second derivative of -2*n**r - 3*n**2 + 3*n**d - n + 0*n**2 wrt n? -4 Let o(d) be the first derivative of -4*d**2 - 14*d - 2. Find the first derivative of o(i) wrt i. -8 Let w(d) be the first derivative of -d**7/14 + d**3/6 + d + 1. Let u(f) be the first derivative of w(f). What is the second derivative of u(h) wrt h? -60*h**3 Let k(j) = 7*j**4 + 3*j**3 - 5*j**2 + 3*j. Let q(r) = 14*r**4 + 7*r**3 - 11*r**2 + 7*r. Let b(c) = 7*k(c) - 3*q(c). What is the third derivative of b(z) wrt z? 168*z What is the derivative of 2*w - w + 5 + 2*w + 27 wrt w? 3 Let i(m) be the first derivative of 1/4*m**4 + 5/3*m**3 + 0*m**2 + 0*m - 2. What is the third derivative of i(q) wrt q? 6 Let m = -13 + 17. Let b(q) be the second derivative of 0 + 0*q**3 - 1/2*q**2 + 2*q + 0*q**m + 1/20*q**5. Differentiate b(i) wrt i. 3*i**2 Suppose 5*s - 16 + 6 = 0. Find the third derivative of -3*j**3 + 6*j**2 + j**s - 2*j**2 wrt j. -18 What is the third derivative of 32*i**2 - i**5 - 17*i**2 - 21*i**2 wrt i? -60*i**2 Let g(n) = 10*n**3 + 14*n + 16. Let i(b) = 3*b**3 + 5*b + 5. Let h(t) = 5*g(t) - 14*i(t). What is the first derivative of h(k) wrt k? 24*k**2 What is the third derivative of -3*h**5 + 6*h**5 - 4*h**5 + h**2 wrt h? -60*h**2 Let i(c) be the second derivative of 5*c + 2*c**2 + 0 - 2/3*c**3. Differentiate i(q) with respect to q. -4 Let n(v) = v**2 - 14*v + 3. Let y be n(13). Let l = -7 - y. Differentiate c**3 + 4 + c - 2*c**l - c wrt c. -3*c**2 Suppose -2*x + 26 = 4*y, y = -0*y + x - 1. Find the second derivative of 0*n - 5*n**4 + 3*n**4 - 3*n + y*n**4 wrt n. 24*n**2 Find the second derivative of -3*m**3 + 4*m**3 - 8*m + 22*m**3 wrt m. 138*m Let g(o) = -o - 2. Let a be g(-5). Find the third derivative of h - h**a - h**2 - h wrt h. -6 Let t(q) be the second derivative of 3*q**5/4 - 17*q**3/3 - q - 9. Find the second derivative of t(m) wrt m. 90*m What is the first derivative of 7*b**3 + 11 - 28 + 8 wrt b? 21*b**2 Let o(p) be the third derivative of 2*p**5/15 + 3*p**3/2 - 6*p**2. Differentiate o(h) wrt h. 16*h Let w(h) be the first derivative of -h**4 + 10*h**3/3 + 6. Find the third derivative of w(b) wrt b. -24 Let l = 67/36 + -16/9. Let w(g) be the second derivative of 0*g**5 + 0 - 1/15*g**6 + 0*g**3 - l*g**4 + 0*g**2 - g. What is the third derivative of w(o) wrt o? -48*o Differentiate 5*r**4 + 2 + 4 + 0*r**4 wrt r. 20*r**3 Let w(h) = -10 - 18 + 11 + 8*h - 4*h**2. Let y(x) = 3*x**2 - 5*x + 11. Let n(k) = 5*w(k) + 8*y(k). Differentiate n(b) wrt b. 8*b Let p = 15 - 10. Let u = -5 + p. What is the second derivative of u*o - 2*o - 4*o**5 + 3*o**5 - o**5 wrt o? -40*o**3 Let q = -3 + 4. Suppose 6 = -f + 4*f. Find the second derivative of -1 + v**f + 2*v + q wrt v. 2 Let g(b) be the second derivative of -7*b**5/20 + 5*b**2/2 - 6*b. What is the first derivative of g(k) wrt k? -21*k**2 Let w(a) = a + 1. Let o be 6/(-14) - 110/(-77). Let r(m) = -9*m**2 + 2*m - 1. Let j(c) = o*w(c) + r(c). What is the second derivative of j(u) wrt u? -18 Let z(n) be the first derivative of -n**3 + 0*n**4 + 0*n**5 + 3 + 0*n + 1/6*n**6 + 0*n**2. Find the third derivative of z(y) wrt y. 60*y**2 Let m(c) = 27*c + 3. Let q(b) = 13*b + 1. Suppose 0 = 3*g - g + 26. Let u(a) = g*q(a) + 6*m(a). What is the derivative of u(d) wrt d? -7 Let q(n) be the second derivative of -3*n**7/14 - 11*n**3/6 - 9*n. What is the second derivative of q(h) wrt h? -180*h**3 Let g(q) be the third derivative of -q**9/3024 + q**5/60 + q**4/24 + 2*q**2. Let n(h) be the second derivative of g(h). Differentiate n(v) with respect to v. -20*v**3 Let r = 41 - 39. Let n(q) be the first derivative of 0*q**3 + 2/5*q**5 + 1/2*q**r + 0*q + 0*q**4 - 2. Find the second derivative of n(c) wrt c. 24*c**2 Let t(w) = -w - 6. Let q be t(-8). Suppose 2 = -y + q*y. What is the first derivative of y - l**2 - l**2 + 3*l**2 wrt l? 2*l Suppose 3*z + 10 = 4*w, z + 2 = -4*z + 3*w. Find the first derivative of -2 + z*n - 2 + 5 wrt n. 2 Suppose -c + 32 = u + 4*u, 4*c = -12. Suppose 4*l - 22 + 2 = 0. Let t(v) = -6*v - 10. Let p(i) = 4*i + 7. Let w(h) = l*t(h) + u*p(h). Differentiate w(j) wrt j. -2 Let k be (-2 - (-6)/2)/1. Suppose 4*n = 9 - k. What is the second derivative of 4*h**4 - n*h**4 - 2*h - 2*h wrt h? 24*h**2 Let p(t) be the third derivative of -t**4/6 - t**3/6 - 2*t**2. Let l be p(-1). Find the second derivative of 0*y - l*y + 3*y - 3*y**4 - 2*y wrt y. -36*y**2 Find the second derivative of -4*n**4 - 20*n**4 + 20*n - 7*n**4 wrt n. -372*n**2 Suppose -2 = 2*p - 12. Suppose -n - z + 1 + 3 = 0, 5*n - p*z - 10 = 0. Find the second derivative of -2*q**3 - q**n - q + 2*q + 0*q wrt q. -18*q Let m(l) = -l**6 - l**3 - l**2 + l. Let z(b) = -15*b**6 - 3*b**3 + 10*b**2 + 3*b. Let i(o) = 3*m(o) - z(o). What is the third derivative of i(w) wrt w? 1440*w**3 Let r(l) be the third derivative of 0*l**6 + 0*l**4 + 0*l**5 - 1/2*l**3 - l**2 + 0 - 1/70*l**7 + 0*l. What is the first derivative of r(h) wrt h? -12*h**3 What is the third derivative of -4*s**2 + 2 + 6 - 11*s**3 - 8 wrt s? -66 Suppose d = 18 - 13. Let x(u) be the second derivative of 1/2*u**2 + 0*u**4 - 2*u + 0*u**3 + 1/10*u**d + 0. What is the derivative of x(n) wrt n? 6*n**2 Find the second derivative of -3 + 2 - 3*v + 8*v + 23*v**5 + 15*v wrt v. 460*v**3 Let a(r) = -21*r**2 + 6*r + 6. Let t(m) = -4*m**2 + m + 1. Let h(d) = 2*a(d) - 11*t(d). Let j be h(-1). Differentiate -2 + 0 - j*g**2 - 1 with respect to g. -4*g Differentiate -6 - b**4 + 5*b**3 + 7*b**4 - 5*b**3 wrt b. 24*b**3 What is the third derivative of -2*u**4 + 7*u**5 - 36*u**3 + 2*u**4 - 16*u**2 + 32*u**3 wrt u? 420*u**2 - 24 Let d(h) be the third derivative of 0 + 0*h**4 + 0*h - 1/6*h**3 + 3*h**2 - 1/30*h**5. Find the first derivative of d(w) wrt w. -4*w What is the third derivative of -24*l**4 + 13*l**4 - l**2 + 18*l**4 wrt l? 168*l Let h(k) = 27*k**2 - 2*k - 69. Let f(b) = -26*b**2 + 3*b + 68. Let j(w) = -2*f(w) - 3*h(w). Find the first derivative of j(a) wrt a. -58*a Let f(r) be the second derivative of -2*r + 1/10*r**5 + 0*r**4 + 0*r**3 + 0 + 2*r**2. Differentiate f(i) wrt i. 6*i**2 Let l = 6 + -2. Find the third derivative of -2*x**2 - 5*x**l - x**2 + 4*x**4 wrt x. -24*x Let b(j) = 23*j**3 - 25*j + 13. Let i(a) = 11*a**3 - 12*a + 6. Let r(g) = 6*b(g) - 13*i(g). What is the second derivative of r(f) wrt f? -30*f What is the derivative of -2*a**2 - 88*a + 88*a - 8 wrt a? -4*a Let x(p) = -p - 19 - 22 + 40. Let i(y) = 2*y**2 + 8*y + 4. Let b(a) = -i(a) - 4*x(a). What is the second derivative of b(n) wrt n? -4 What is the derivative of 41 - 171*d**2 - 14*d**3 - 3*d**3 + 171*d**2 wrt d? -51*d**2 Let c(l) = l**3 + 12*l**2 + 10*l - 7. Suppose 14 + 30 = -4*h. Let z be c(h). Find the second derivative of -3*f**2 - z*f + 3*f**2 + f - 3*f**5 wrt f. -60*f**3 Let g = 8 - 3. Suppose z + 0*z = g. Find the third derivative of k**3 + 4*k**2 - z*k**2 - 3*k**3 wrt k. -12 Let g(j) = -j + 11. Let r be g(6). Suppose 4*h - 3 = r. What is the second derivative of h*t + 0*t**4 - t**4 + 2*t**4 wrt t? 12*t**2 Differentiate -5*m**3 + 8 - 4*m**4 + 5*m**3 with respect to m. -16*m**3 Let h(a) be the second derivative of 0*a**3 - 5*a + 0*a**2 - 1/5*a**6 + 0 + 0*a**5 - 7/12*a**4. What is the third derivative of h(m) wrt m? -144*m Suppose -s - 2*s + 42 = 0. Let g = -3 + 5. What is the third derivative of -4*h**4 + s*h**3 + h**g - 14*h**3 wrt h? -96*h What is the third derivative of 0*z**2 + 4*z**2 + 3*z**2 + 0*z**2 + 8*z**6 wrt z? 960*z**3 Let c(r) = 4*r**4 + 6*r**3 + 11*r**2. Let l(d) = -3*d**4 - 5*d**3 - 10*d**2. Let j(a) = 5*c(a) + 6*l(a). What is the third derivative of j(m) wrt m? 48*m Let j(p) be the first derivative of -2/3*p**6 - 1 + 0*p**3 - 1/2*p**2 + 0*p + 0*p**4 + 0*p**5. Find the second derivative of j(d) wrt d. -80*d**3 What is the third derivative of 9*s**2 - 5*s**2 - s**2 + 10*s**3 + 8*s**2 wrt s? 60 What is the third derivative of -704*l
{ "pile_set_name": "DM Mathematics" }
the second derivative of 26*t*w**3*y - 47*t*w**2*y - 27*t*w**2 + 2*t*y + 49*w*y - 161*w wrt w? 156*t*w*y - 94*t*y - 54*t What is the derivative of i**3*s + 728*i**3*v + 102*i**3 - 2*i*s + 50*i + 6*s*v + 3*s wrt v? 728*i**3 + 6*s Find the third derivative of 15*g**4*o**2 + 3262*g**4 + 2*g**2*o**2 + 4*g**2*o + g**2 - 921 wrt g. 360*g*o**2 + 78288*g Find the first derivative of -699015*p*q**2 - p - 5340529*q**2 wrt p. -699015*q**2 - 1 Find the third derivative of -20122*q**3*y**3 - 38*q**3 + 1386*q**2*y**2 wrt y. -120732*q**3 Differentiate -175*j**2*v*y + 99*j**2 - 7*v*y - 251*y wrt v. -175*j**2*y - 7*y What is the second derivative of -29954*d**2 - 1047*d - 1 wrt d? -59908 What is the second derivative of -1163*j**2*k**3 + 2*j**2 + 18*k**5 - 23959*k wrt k? -6978*j**2*k + 360*k**3 What is the third derivative of -200934*a**2*n**3 + 7*a**2*n**2 - 73*a**2 + 15*n**2 wrt n? -1205604*a**2 Find the third derivative of -52727*s**3 + 88*s**2 - 47*s - 2. -316362 What is the first derivative of k**4 + 2937*k - 9704? 4*k**3 + 2937 Find the third derivative of 910521*c**6 - 2316308*c**2 wrt c. 109262520*c**3 What is the second derivative of 544*c**4*j - 4*c**4 - 5*c**3 - 15*c*j + 2*c - 64 wrt c? 6528*c**2*j - 48*c**2 - 30*c Find the third derivative of -159*u**2*x**3 + 7*u**2*x**2 + 199*u**2*x - 5*u*x**2 - u*x - 143*x**3 wrt x. -954*u**2 - 858 Find the third derivative of n*r**3 + 2*n*r**2 - 4*n*r - 72*n + 790914*r**3 - 29*r**2 - 2*r wrt r. 6*n + 4745484 What is the derivative of -194997*p - 892542? -194997 What is the third derivative of 8*a**4*d*n + 6*a**4 + 4*a**3*d + a**3*n + 2*a**2*d*n - 2*a**2*n + 54*a*d + 43*a + d*n wrt a? 192*a*d*n + 144*a + 24*d + 6*n Find the second derivative of 2*s**3*x**2 + 3296*s**2*x**2 + 14*s*x**2 + 3*s*x - 6*s + 3*x wrt s. 12*s*x**2 + 6592*x**2 What is the third derivative of -5*r**3*x**3 + 177*r**3*x**2 + 1025*r**2*x**2 - 3994*r*x**3 + 9*x**3 wrt x? -30*r**3 - 23964*r + 54 What is the second derivative of -283*o**3*q**2 + 3*o**3*q + 6*o**2*q + 5*o**2 - 258*o*q**2 - 6*o + 133*q wrt q? -566*o**3 - 516*o Find the second derivative of 277*q**2*s**3 + 16*q**2*s - 58*q*s**3 - 657*q*s**2 wrt q. 554*s**3 + 32*s Find the third derivative of 5*q**4 - 940*q**3 + 8*q**2 - 2*q - 68 wrt q. 120*q - 5640 What is the derivative of -2*q**2*w**3 - 104896*q**2*w**2 - 3*q**2 - 8674 wrt w? -6*q**2*w**2 - 209792*q**2*w Find the second derivative of 745*f**3 + 139*f**2 + 14880*f wrt f. 4470*f + 278 Differentiate -34*b*c - 3542*b - 219*c wrt c. -34*b - 219 What is the derivative of -27*d**2 - 101*d*o - 4*d + 25*o + 14 wrt d? -54*d - 101*o - 4 Differentiate -1029905*f + 5693398 wrt f. -1029905 What is the derivative of -l*q**3 + 70*l*q**2 - 16*l*q - 2*q**3 + 3*q**2 + 534*q wrt l? -q**3 + 70*q**2 - 16*q Differentiate -437771*a - 73135. -437771 What is the first derivative of -u**3 - 76396*u**2 + u - 4305458 wrt u? -3*u**2 - 152792*u + 1 What is the third derivative of 35*b**6 - b**5 - 4145*b**3 + 37*b**2 + 926*b - 4? 4200*b**3 - 60*b**2 - 24870 What is the derivative of 37*t**4 + 2*t**3 - 22*t + 20407? 148*t**3 + 6*t**2 - 22 What is the third derivative of -119576*n**4 + 2*n**3 - 30317*n**2 - n + 1 wrt n? -2869824*n + 12 What is the derivative of 9*t**2 - 48079*t - 6355680 wrt t? 18*t - 48079 Differentiate 1741*p**2*q + 20*p**2 + 6*p*q - 12*p + 3*q - 33 wrt q. 1741*p**2 + 6*p + 3 Differentiate -8*l**3*z**2 + 7*l**3 + 949*l**2 - l*z**2 - 33*z**2 - 16*z with respect to z. -16*l**3*z - 2*l*z - 66*z - 16 What is the third derivative of 2*f**6 - 3*f**5 + 22678*f**4 - 23676*f**2 - 2? 240*f**3 - 180*f**2 + 544272*f Find the second derivative of -201026*c**4 - 2*c**2*v + 1131*c*v - 3*v - 32 wrt c. -2412312*c**2 - 4*v What is the third derivative of 6*q**6 + 1512*q**5 + 2*q**2 + 1205*q? 720*q**3 + 90720*q**2 Differentiate -312*l**2*n + 7*l**2 + 2*l*n + 55*n + 572 with respect to l. -624*l*n + 14*l + 2*n Find the third derivative of -2*u**6 - 226916*u**3 + 3*u**2 + 303270*u. -240*u**3 - 1361496 Differentiate 564*j**2 - 155*j - 253594. 1128*j - 155 Find the third derivative of 2*l**3*t**2 - 901*l**3*t + 89*l**3 + l**2 - l*t**2 - 395*l*t + 30*t**2 wrt l. 12*t**2 - 5406*t + 534 What is the third derivative of 3645*y**5 - 5*y**4 + 23583*y**2 - 4? 218700*y**2 - 120*y What is the third derivative of 86086*y**3 + 33*y**2 - 28*y + 29? 516516 What is the first derivative of 194245*h + 10041 wrt h? 194245 What is the third derivative of 7608*m**4*r + 27*m**3*r + m**2*r + 2918*m**2 - 10*r - 2 wrt m? 182592*m*r + 162*r Find the third derivative of 2707*l**2*o**3 - 2*l**2*o**2 - 3*l**2 - 391*l*o**2 + 7*o**3 wrt o. 16242*l**2 + 42 What is the derivative of -4*h*i**2 - 2089*h*i - 44*h + 632*i**2 - i + 994 wrt h? -4*i**2 - 2089*i - 44 What is the second derivative of -3*h**3 + 18852*h**2 + 346163*h wrt h? -18*h + 37704 What is the third derivative of 5*g*n**2*r*y - 74*g*n**2*r - 46*g*r*y**3 + 3*g*r*y**2 - 18*n**2*y**3 + n**2*y**2 + 6*n*y - 4*r*y**3 + 2*y**2 wrt y? -276*g*r - 108*n**2 - 24*r What is the first derivative of b*j*x - 28*b*j + 13*b*x + 137*b - 552*j*x + j - 2 wrt x? b*j + 13*b - 552*j Find the first derivative of -3*l**3*p + 5*l**3 - 2*l*p**2 - l - 102463*p**3 - 88161 wrt p. -3*l**3 - 4*l*p - 307389*p**2 Find the third derivative of -1879*d**2*r**3 - 2*d**2*r**2 + 3952*d**2 - r**5 wrt r. -11274*d**2 - 60*r**2 What is the third derivative of -45*j**3*l**3 - 14*j**3*l**2 + 9*j**3*l + 29*j**2*l - 383*l**3 wrt j? -270*l**3 - 84*l**2 + 54*l Find the second derivative of 76*u*z**2 - 10*u*z + 308*z**2 - 127 wrt z. 152*u + 616 What is the second derivative of -9545*f**3 - f**2 - 19575*f wrt f? -57270*f - 2 What is the derivative of -42*i**4 - 323*i**3 + 113611? -168*i**3 - 969*i**2 What is the first derivative of 311625*i**2 - 2471138 wrt i? 623250*i What is the first derivative of 2022167*h + 1134903? 2022167 What is the third derivative of 1038773*y**5 - y**4 + 13*y**2 + 29692? 62326380*y**2 - 24*y What is the first derivative of -169633*a**4 + 283686? -678532*a**3 Differentiate -61*m**2*t*w + 4*m**2*t + m**2*w - 621*t - 4*w**4 with respect to w. -61*m**2*t + m**2 - 16*w**3 What is the first derivative of -37*c**2*i**2 - 2*c**2 - 28*c*i**2 - 16*c*i + 241535*c + i + 2 wrt i? -74*c**2*i - 56*c*i - 16*c + 1 What is the third derivative of 38612*n**3*u - 7*n**2*u + 10*n*u + 2*u + 33 wrt n? 231672*u What is the third derivative of -2*b*m**3 - 2*b*m**2 - 60544*m**3 + 15692*m**2 wrt m? -12*b - 363264 Find the second derivative of -944817*x**3 - 2015876*x wrt x. -5668902*x Find the second derivative of 2*c**5 + 734*c**4 + 30461*c wrt c. 40*c**3 + 8808*c**2 What is the first derivative of 476356*l*s - 128238*l wrt s? 476356*l Differentiate -1917*t**4 - 17*t - 62328. -7668*t**3 - 17 What is the derivative of -6489*b**4*n**2 + 31*b**4*n - 1305*n**2 + 654*n wrt b? -25956*b**3*n**2 + 124*b**3*n What is the second derivative of -2242337*h**5 + 2428603*h? -44846740*h**3 Differentiate 176284*g + 839991. 176284 What is the third derivative of 33905*v**3 - 2*v**2 - 5*v - 18? 203430 What is the third derivative of -9*f**2*q*s**3 + f**2*q - 4510*f**2*s**3 + 41240*q*s + 3*s**2 wrt s? -54*f**2*q - 27060*f**2 What is the second derivative of -2*s**4 - 15774*s**2 + 3*s + 473? -24*s**2 - 31548 What is the third derivative of 1968375*x**4 + 1405686*x**2 wrt x? 47241000*x What is the second derivative of 256292*n**2*s**2 + 2*n**2*s - 29*n**2 + 1380*n*s wrt s? 512584*n**2 What is the third derivative of -665132*a**3 + 3801*a**2 + 25*a wrt a? -3990792 What is the third derivative of 2421*a**6 + 3*a**4 - 80*a**2 - 119 wrt a? 290520*a**3 + 72*a Differentiate 1893*x - 31914 with respect to x. 1893 Find the third derivative of 165*v**5 - 36*v**4 + 9*v**2 - 3*v + 1840 wrt v. 9900*v**2 - 864*v What is the derivative of 45*v**3 - 2*v**2 - 154*v + 48750? 135*v**2 - 4*v - 154 Find the third derivative of -2*i**5 - 562*i**4 + 406*i**3 + 4*i**2 - 497*i + 1. -120*i**2 - 13488*i + 2436 What is the third derivative of -447*k**4 - 40*k**3 - 5*k**2 - k - 341 wrt k? -10728*k - 240 Find the third derivative of 50868*l**3 - 1248*l**2 + 2*l + 1. 305208 Find the third derivative of -533798*n**4 + 2*n**2 + 2*n - 1418 wrt n. -12811152*n Find the third derivative of 2*l**6 + 93*l**5 - 9*l**3 + 470*l**2 - 7*l - 3 wrt
{ "pile_set_name": "DM Mathematics" }
q**5 - 24*q**4 - 76*q**3 - 32*q**2 + 78*q + 56 = 0. -7, -4, -1, 1 Factor -3*v**3/4 + 21*v**2 - 183*v + 504. -3*(v - 14)*(v - 8)*(v - 6)/4 Factor 5*h**2/4 + 155*h + 4805. 5*(h + 62)**2/4 What is z in 2*z**3/9 - 26*z**2/9 + 8*z = 0? 0, 4, 9 Let -32*c**3/5 - 234*c**2/5 + 186*c/5 + 16 = 0. Calculate c. -8, -5/16, 1 Factor 5*l**3 - 45*l**2 - 170*l - 120. 5*(l - 12)*(l + 1)*(l + 2) Suppose r**2 - 11*r - 1092 = 0. Calculate r. -28, 39 Find c, given that -2*c**5/3 + 7*c**4/3 + 56*c**3/3 + 38*c**2/3 - 18*c - 15 = 0. -3, -1, 1, 15/2 Let 4*u**5 - 24*u**4 - 4*u**3 + 24*u**2 = 0. Calculate u. -1, 0, 1, 6 Factor o**4/4 - 75*o**3/4 + 147*o**2/4 - 73*o/4. o*(o - 73)*(o - 1)**2/4 Factor 5*x**5 - 335*x**4 - 690*x**3 - 10*x**2 + 685*x + 345. 5*(x - 69)*(x - 1)*(x + 1)**3 Solve -38*u**3 - 254*u**2 + 84*u = 0. -7, 0, 6/19 Determine y, given that -y**4/4 - y**3/2 + 31*y**2/4 + 8*y - 15 = 0. -6, -2, 1, 5 Factor 7*j**4 - 443*j**3 + 9387*j**2 - 67473*j + 18522. (j - 21)**3*(7*j - 2) Factor -4*i**2/5 - 54*i/5 - 26/5. -2*(i + 13)*(2*i + 1)/5 Factor 2*l**3/7 + 30*l**2/7 - 144*l/7 + 152/7. 2*(l - 2)**2*(l + 19)/7 Factor 4*y**3 - 412*y**2 + 10812*y - 10404. 4*(y - 51)**2*(y - 1) Factor t**2/3 - 7*t/3 + 4. (t - 4)*(t - 3)/3 Factor 2*l**3 + 24*l**2 - 2*l - 24. 2*(l - 1)*(l + 1)*(l + 12) Find k such that 3*k**3/4 + 9351*k**2/2 + 9715689*k + 6729733914 = 0. -2078 Solve 6*u**5/7 + 166*u**4/7 + 90*u**3/7 - 486*u**2/7 + 8*u/7 + 216/7 = 0. -27, -2, -2/3, 1 Let j**2/5 + 112*j/5 + 44 = 0. What is j? -110, -2 Determine f so that 2*f**3 - 772*f**2 + 74498*f = 0. 0, 193 Factor -2*u**2/3 - 4*u/3. -2*u*(u + 2)/3 Let -33*n**5 - 798*n**4 + 681*n**3 + 150*n**2 = 0. What is n? -25, -2/11, 0, 1 What is f in 5*f**3 + 90*f**2 + 235*f + 150 = 0? -15, -2, -1 Factor -486*m**2 - 288*m - 128/3. -2*(27*m + 8)**2/3 Suppose 4*r**5 - 24*r**4 - 184*r**3 + 96*r**2 + 1332*r + 1080 = 0. What is r? -3, -1, 3, 10 Factor -m**3 + 24*m**2 - 621*m/4 + 1215/4. -(m - 15)*(2*m - 9)**2/4 Determine l so that -l**5 + 2*l**4 + 4*l**3 - 2*l**2 - 3*l = 0. -1, 0, 1, 3 Factor -o**2/7 + 18*o/7. -o*(o - 18)/7 Solve -2*f**4/5 + 4*f**3/15 + 26*f**2/5 - 124*f/15 + 16/5 = 0. -4, 2/3, 1, 3 Factor -q**3/4 - 485*q**2/4 - 967*q/4 - 483/4. -(q + 1)**2*(q + 483)/4 Factor 10*g**4 + 5*g**3 - 30*g**2 - 35*g - 10. 5*(g - 2)*(g + 1)**2*(2*g + 1) Factor -2*i**2/23 - 312*i/23 + 4032/23. -2*(i - 12)*(i + 168)/23 Factor -5*z**5 + 20*z**4 + 310*z**3 + 760*z**2 + 695*z + 220. -5*(z - 11)*(z + 1)**3*(z + 4) Factor -5*n**4 + 70*n**3 + 335*n**2 + 440*n + 180. -5*(n - 18)*(n + 1)**2*(n + 2) Let -4*o**4 - 416*o**3 - 11224*o**2 - 21216*o - 10404 = 0. Calculate o. -51, -1 Solve 2*h**4/5 - 1628*h**3/5 + 336146*h**2/5 - 1973136*h/5 + 2937888/5 = 0. 3, 404 Let 2*r**3/19 - 50*r**2/19 - 106*r/19 - 54/19 = 0. Calculate r. -1, 27 Find z such that -6*z**2/7 + 132*z/7 - 726/7 = 0. 11 Find a, given that -4*a**5 + 24*a**4 - 32*a**3 - 8*a**2 + 36*a - 16 = 0. -1, 1, 4 Factor -s**2 - 10*s + 11. -(s - 1)*(s + 11) Factor 2*s**2 + 6*s. 2*s*(s + 3) Factor 2*m**2/3 + 2*m/3. 2*m*(m + 1)/3 Factor -w**2 + 119*w - 118. -(w - 118)*(w - 1) What is x in 2*x**3/3 + 26*x**2/3 + 8*x = 0? -12, -1, 0 Let -2*r**5/17 - 16*r**4/17 + 292*r**3/17 - 256*r**2/17 - 290*r/17 + 16 = 0. Calculate r. -17, -1, 1, 8 Let 4*m**3 + 108*m**2 + 672*m - 784 = 0. Calculate m. -14, 1 Determine z so that -4*z**2 + 16*z + 20 = 0. -1, 5 Factor 5*l**2 + 325*l + 2280. 5*(l + 8)*(l + 57) What is l in 2*l**2 + 76*l - 160 = 0? -40, 2 Suppose o**3 + 78*o**2 - 585*o + 850 = 0. Calculate o. -85, 2, 5 Factor -r**3/2 - 31*r**2/2 + r/2 + 31/2. -(r - 1)*(r + 1)*(r + 31)/2 Factor -2*o**4/7 + 412*o**3/7 - 21218*o**2/7. -2*o**2*(o - 103)**2/7 Suppose -3*l**3/4 + 9*l/4 - 3/2 = 0. What is l? -2, 1 Determine q, given that 3*q**5/5 - 18*q**4/5 + 18*q**3/5 + 12*q**2 - 117*q/5 + 54/5 = 0. -2, 1, 3 What is a in -4*a**3 - 1544*a**2 + 1548*a = 0? -387, 0, 1 Suppose 16*c**5 - 162*c**4 - 156*c**3 + 22*c**2 = 0. What is c? -1, 0, 1/8, 11 Determine a, given that -2*a**4 + 18*a**3 + 30*a**2 - 106*a + 60 = 0. -3, 1, 10 Solve -5*m**5 - 95*m**4 - 310*m**3 - 130*m**2 + 315*m + 225 = 0. -15, -3, -1, 1 Factor 6*h**2 - 58*h + 36. 2*(h - 9)*(3*h - 2) Suppose -5*u**4 + 10*u**3 + 45*u**2 - 10*u - 40 = 0. What is u? -2, -1, 1, 4 Factor -2*o**2/13 + 18*o/13 + 20/13. -2*(o - 10)*(o + 1)/13 Solve z**5/7 - z**4/7 - 5*z**3/7 + 5*z**2/7 + 4*z/7 - 4/7 = 0. -2, -1, 1, 2 Determine u so that 2*u**3/3 + 2*u**2/3 - 4*u/3 = 0. -2, 0, 1 What is x in -812*x**3 - 524*x**2 + 272*x - 16 = 0? -1, 2/29, 2/7 Factor -2*x**2 + 304*x. -2*x*(x - 152) Factor -n**5/10 + 4*n**4/5 - 5*n**3/2 + 19*n**2/5 - 14*n/5 + 4/5. -(n - 2)**3*(n - 1)**2/10 Factor l**5/7 + 4*l**4/7 + 2*l**3/7 - 4*l**2/7 - 3*l/7. l*(l - 1)*(l + 1)**2*(l + 3)/7 Factor -4*w**3 + 432*w**2 - 428*w. -4*w*(w - 107)*(w - 1) Determine t, given that 2*t**4 - 410*t**3 - 428*t**2 + 3272*t + 4944 = 0. -2, 3, 206 Let -2*q**3/3 - 32*q**2/3 + 2*q/3 + 32/3 = 0. What is q? -16, -1, 1 Determine v so that -15*v**5 - 81*v**4 + 300*v**3 - 108*v**2 - 96*v = 0. -8, -2/5, 0, 1, 2 What is p in -2*p**4/11 - 36*p**3/11 - 120*p**2/11 - 112*p/11 = 0? -14, -2, 0 Let 7*r**4/6 - 148*r**3/3 - 175*r**2/2 - 67*r/3 + 44/3 = 0. What is r? -1, 2/7, 44 Determine t, given that -3*t**3/4 + 105*t**2/4 + 246*t + 516 = 0. -4, 43 Factor -5*c**5 - 25*c**4 + 30*c**3. -5*c**3*(c - 1)*(c + 6) Suppose 5*m**5 - 10*m**4 - 375*m**3 + 1260*m**2 + 1620*m = 0. Calculate m. -9, -1, 0, 6 Factor -12*f**2 + 15*f + 18. -3*(f - 2)*(4*f + 3) Suppose 2*r**2 - 10*r + 12 = 0. Calculate r. 2, 3 Solve 4*z**2 + 528*z + 4880 = 0 for z. -122, -10 Determine t, given that 2*t**5/3 - 10*t**4/3 - 12*t**3 + 40*t**2/3 + 112*t/3 = 0. -2, 0, 2, 7 Factor -3*f**2/5 + 474*f - 93615. -3*(f - 395)**2/5 Determine t so that -5*t**5 + 985*t**4 - 48975*t**3 + 43135*t**2 + 237160*t + 144060 = 0. -1, 3, 98 Find m, given that -7*m**3 + 92*m**2/3 + 28*m/3 = 0. -2/7, 0, 14/3 Solve 2*p**4 + 6*p**3 - 6*p**2 - 22*p - 12 = 0. -3, -1, 2 Factor 2*o**2 - 24*o + 70. 2*(o - 7)*(o - 5) Determine k, given that 2*k**3/9 - 214*k**2/9 + 628*k/9 - 416/9 = 0. 1, 2, 104 Determine t, given that 2*t**3/5 - 108*t**2/5 + 186*t + 15376/5 = 0. -8, 31 Factor -3*v**3/8 + 789*v**2/8 + 3195*v/8 + 2403/8. -3*(v - 267)*(v + 1)*(v + 3)/8 Factor 63*y**3 + 291*y**2 - 132*y - 60. 3*(y + 5)*(3*y - 2)*(7*y + 2) Determine o, given that -6*o**2 - 86*o - 260 = 0. -10, -13/3 Let 2*k**2 + 92*k = 0. Calculate k. -46, 0 Find b such that b**3/5 - 6*b**2 + 252*b/5 - 648/5 = 0. 6, 18 Find x such that 7*x**5/5 + 162*x**4/5 + 1144*x**3/5 + 2256*x**2/5 - 16*x - 480 = 0. -10, -2, 6/7 Suppose -6*z**3/11 + 34*z**2/11 - 56*z/11 + 24/11 = 0. What is z? 2/3, 2, 3 Let -2*c**5 + 6*c**4 - 8*c**2 = 0. What is c? -1, 0, 2 Factor -5*h**2 - 5955*h. -5*h*(h + 1191) What is j in -j**3 - 73*j**2 + 226*j - 152 = 0? -76, 1, 2 Factor 5*w**5 - 80*w**4 + 390*w**3 - 560*w**2 + 245*w. 5*w*(w - 7)**2*(w - 1)**2 Determine w, given that w**4/2 - 15*w**3/2 - 2*w**2 + 30*w = 0. -2, 0, 2, 15 Determine b, given that -3*b**5/4 + 17*b**4/4 - 5*b**3/2 - 15*b**2 + 22*b - 8 = 0. -2, 2/3, 1, 2, 4 Factor 2*k**2/9 + 6*k + 184/9. 2*(k + 4)*(k + 23)/9 Let -2*u**2 + 1030*u + 1032 = 0. What is u? -1, 516 Find i such that 5*i**2 - 1720*i + 147920 = 0. 172 Solve -2*j**3/5 + 368*j**2/5 = 0 for j. 0, 184 Factor 2*g**4 + 34*g**3 + 114*g**2 + 134*g + 52. 2*(g + 1)**2*(g + 2)*(g + 13) Suppose 3*s**5 - 40*s**4 - 445*s**3 - 830*s**2 + 640*s + 672 = 0. What is s? -4, -2/3, 1, 21 What is w in 21*w**4 + 251*w**3 - 327*w**2 - 531*w + 26 = 0? -13, -1, 1/21, 2 Let 4*m**3 + 940*m**2 + 936*m = 0. What is m? -234, -1, 0 Let -5*u**4 + 55*u**2 - 90*u + 40 = 0. Calculate u. -4, 1, 2 Find j, given that -j**2/3 + 38*j + 117 = 0. -3, 117 What is h in -5*h**3 + 405*h**2 - 10935*h + 98415 = 0? 27 Factor -2352*a**2 - 84*a - 3/4. -3*(56*a + 1)**2/4 What is w in -5*w**2 + 375*w - 370 = 0? 1, 74 Factor 5*w**3 + 450*w**2 + 2905*w. 5*w*(w + 7)*(w + 83) Find f such that 2*f**3 - 122*f**2 - 512*f - 520 = 0. -2, 65 Factor 5*q**4 - 75*q**3 + 405*q**2 - 925*q + 750. 5*(q - 5)**2*(q - 3)*(q - 2) Determine t so that 181*t**3/9 + 61*t**2/3 + 2*t/9 = 0. -1, -2/181, 0 Factor -14*k**5/11 + 24*k**4/11 + 8*k**3/11. -2*k**3*(k - 2)*(7*k + 2)/11 Suppose -3*o**4/5 + 54*o**3/5 - 153*o**2/5 - 546*o/5 = 0. Calculate o. -2, 0, 7, 1
{ "pile_set_name": "DM Mathematics" }
ifififi. Give prob of sequence fif. 1/10 Calculate prob of sequence yo when two letters picked without replacement from yfwok. 1/20 Calculate prob of sequence zat when three letters picked without replacement from {z: 1, a: 1, t: 5, g: 6, r: 1}. 5/2184 What is prob of sequence pp when two letters picked without replacement from {g: 2, l: 4, p: 5, h: 1, s: 2}? 10/91 What is prob of sequence hk when two letters picked without replacement from harkkkek? 1/14 Three letters picked without replacement from yrqygwg. What is prob of sequence ggw? 1/105 Calculate prob of sequence zz when two letters picked without replacement from uuzuuzuu. 1/28 Calculate prob of sequence nn when two letters picked without replacement from {s: 4, n: 3, b: 1, d: 1, u: 8}. 3/136 What is prob of sequence oq when two letters picked without replacement from {g: 1, q: 3, o: 4, w: 7, i: 4}? 2/57 Four letters picked without replacement from {q: 10, t: 4, b: 2}. What is prob of sequence tbbt? 1/1820 Three letters picked without replacement from imiiiimmmmmimmim. Give prob of sequence mmi. 3/20 Three letters picked without replacement from {r: 1, i: 1, s: 2, m: 5}. What is prob of sequence smi? 5/252 What is prob of sequence pf when two letters picked without replacement from ipisisspixfppii? 2/105 Calculate prob of sequence wke when three letters picked without replacement from {e: 3, b: 3, w: 2, k: 2, g: 3}. 1/143 Two letters picked without replacement from occcccrcccc. Give prob of sequence or. 1/110 Three letters picked without replacement from lll. What is prob of sequence lll? 1 Four letters picked without replacement from {i: 7, q: 6, f: 4, s: 2, z: 1}. What is prob of sequence iiif? 7/969 Two letters picked without replacement from jevjjjojehoo. Give prob of sequence ho. 1/44 Calculate prob of sequence ws when two letters picked without replacement from wwgws. 3/20 Calculate prob of sequence czl when three letters picked without replacement from mzzczzhzlh. 1/144 Two letters picked without replacement from {c: 1, e: 1, p: 1, x: 1, b: 1}. Give prob of sequence xp. 1/20 Three letters picked without replacement from xxyllrlxlyllllyylf. What is prob of sequence lrf? 1/544 What is prob of sequence jf when two letters picked without replacement from jinljjljjfll? 5/132 What is prob of sequence tt when two letters picked without replacement from zrtfrt? 1/15 What is prob of sequence tt when two letters picked without replacement from vtcguvvutgvutvtmgvuc? 3/95 Three letters picked without replacement from {z: 2, d: 1, n: 1, a: 2, b: 2, t: 1}. Give prob of sequence zbn. 1/126 Calculate prob of sequence ici when three letters picked without replacement from cii. 1/3 Three letters picked without replacement from {u: 2, i: 6}. What is prob of sequence iiu? 5/28 Calculate prob of sequence ff when two letters picked without replacement from bpfpfppf. 3/28 What is prob of sequence juuu when four letters picked without replacement from {t: 4, u: 4, n: 2, j: 5}? 1/273 What is prob of sequence sq when two letters picked without replacement from {q: 1, d: 1, a: 1, l: 1, s: 1}? 1/20 Two letters picked without replacement from {q: 9, w: 2}. What is prob of sequence qw? 9/55 Two letters picked without replacement from trtqtaqtttqmtaqtqq. What is prob of sequence tr? 4/153 Calculate prob of sequence mkic when four letters picked without replacement from {i: 2, c: 3, k: 1, j: 3, m: 1}. 1/840 Calculate prob of sequence iiji when four letters picked without replacement from sjjijjiisjji. 2/165 Calculate prob of sequence jumj when four letters picked without replacement from {i: 1, m: 1, s: 1, u: 2, p: 2, j: 2}. 1/756 What is prob of sequence amt when three letters picked without replacement from {q: 2, m: 1, t: 1, a: 1}? 1/60 Three letters picked without replacement from {n: 1, t: 5, r: 5}. Give prob of sequence trn. 5/198 Two letters picked without replacement from {u: 7, n: 7, y: 5}. What is prob of sequence yu? 35/342 What is prob of sequence zf when two letters picked without replacement from {z: 8, y: 9, f: 2}? 8/171 Three letters picked without replacement from zzgd. What is prob of sequence zgz? 1/12 What is prob of sequence xqqq when four letters picked without replacement from qxqqqxqxqxqqqqqqqqq? 455/3876 Three letters picked without replacement from {k: 1, i: 1, l: 1, g: 3, n: 1}. What is prob of sequence nkg? 1/70 Four letters picked without replacement from bbffrbbf. Give prob of sequence bfrf. 1/70 Calculate prob of sequence bqw when three letters picked without replacement from elbwbwq. 2/105 Three letters picked without replacement from {f: 6, l: 4, q: 2, m: 3}. Give prob of sequence fqf. 2/91 Three letters picked without replacement from {h: 17, w: 1}. What is prob of sequence hwh? 1/18 What is prob of sequence kr when two letters picked without replacement from {o: 1, k: 3, x: 5, r: 4, l: 5}? 2/51 What is prob of sequence ue when two letters picked without replacement from {u: 2, s: 4, t: 1, y: 1, w: 3, e: 7}? 7/153 Two letters picked without replacement from mvfsj. Give prob of sequence sv. 1/20 Three letters picked without replacement from xxouxxoiotioixxx. Give prob of sequence xui. 1/160 Calculate prob of sequence lll when three letters picked without replacement from {f: 5, l: 15}. 91/228 Three letters picked without replacement from {n: 4, c: 1, s: 4, y: 1}. What is prob of sequence snn? 1/15 Four letters picked without replacement from {y: 4, h: 7}. Give prob of sequence hhhy. 7/66 Calculate prob of sequence sz when two letters picked without replacement from {e: 2, s: 2, z: 1}. 1/10 What is prob of sequence ss when two letters picked without replacement from {z: 1, o: 2, s: 2, k: 1, u: 2, l: 1}? 1/36 What is prob of sequence ddy when three letters picked without replacement from yyyyyydd? 1/28 Three letters picked without replacement from {d: 1, o: 10, j: 1, x: 1}. Give prob of sequence ooo. 60/143 Calculate prob of sequence hgsf when four letters picked without replacement from ahhrfarsgaffgfhfaf. 1/2040 Four letters picked without replacement from {h: 1, z: 2, k: 5, p: 3, n: 2, t: 6}. What is prob of sequence zztt? 5/7752 What is prob of sequence ueu when three letters picked without replacement from {e: 2, u: 2}? 1/6 Two letters picked without replacement from {v: 1, u: 1, j: 1}. What is prob of sequence ju? 1/6 Calculate prob of sequence tkkk when four letters picked without replacement from hkhhhhhtkkkkhkkhhh. 7/2448 Four letters picked without replacement from wyywwywoywywwoyuuy. What is prob of sequence wwoo? 7/6120 What is prob of sequence hh when two letters picked without replacement from hhhhhhh? 1 Calculate prob of sequence wxx when three letters picked without replacement from xwxwx. 1/5 Three letters picked without replacement from {v: 2, n: 2, g: 7}. What is prob of sequence nvn? 2/495 Two letters picked without replacement from tfffuffuuttgf. Give prob of sequence gt. 1/52 Calculate prob of sequence dd when two letters picked without replacement from dnnndddddndnndddrn. 5/17 Four letters picked without replacement from {a: 4, u: 5, r: 3, v: 1}. What is prob of sequence arru? 1/143 What is prob of sequence jn when two letters picked without replacement from onorrrrtjrttoot? 1/210 Calculate prob of sequence lod when three letters picked without replacement from {o: 1, l: 2, d: 11}. 11/1092 What is prob of sequence jqd when three letters picked without replacement from jdqdd? 1/20 Two letters picked without replacement from {r: 1, w: 9, l: 3, i: 1}. Give prob of sequence li. 3/182 Four letters picked without replacement from {o: 8, b: 5}. Give prob of sequence obbb. 4/143 Three letters picked without replacement from sysssssssysss. What is prob of sequence yys? 1/78 Calculate prob of sequence rx when two letters picked without replacement from {x: 1, q: 1, f: 3, r: 1, h: 1}. 1/42 Calculate prob of sequence jh when two letters picked without replacement from anfhnjjmhhnmjah. 2/35 Three letters picked without replacement from bqbvbvmqqrjrqvrrvq. What is prob of sequence vjb? 1/408 Three letters picked without replacement from llrrryyy. What is prob of sequence rly? 3/56 Four letters picked without replacement from soseceffelseeefsolfo. What is prob of se
{ "pile_set_name": "DM Mathematics" }
, -22, -24? -26 What is the next term in -950, -952, -954, -956, -958? -960 What is the next term in 386, 769, 1152, 1535, 1918? 2301 What is next in -314, -626, -938, -1250, -1562, -1874? -2186 What is the next term in -2, 14, 38, 70, 110, 158? 214 What is the next term in -14, -81, -184, -317, -474, -649? -836 What comes next: 309, 614, 919, 1224, 1529, 1834? 2139 What comes next: -17795, -35560, -53337, -71132, -88951, -106800, -124685? -142612 What is next in 65, 132, 199? 266 What comes next: 1231, 2475, 3719, 4963, 6207? 7451 What is the next term in 57, 88, 139, 210, 301? 412 What comes next: -16, -39, -84, -163, -288, -471, -724? -1059 What is the next term in -8, -32, -74, -134, -212? -308 What is next in -8, -72, -250, -602, -1188, -2068? -3302 What comes next: 20276, 40554, 60832, 81110, 101388, 121666? 141944 What is the next term in -38, -66, -94, -122? -150 What is next in 103, 78, 7, -134, -369, -722, -1217, -1878? -2729 What is next in 8, 48, 174, 434, 876? 1548 What is the next term in -170, -660, -1454, -2534, -3882, -5480, -7310, -9354? -11594 What is the next term in 2066, 2059, 2040, 2003, 1942, 1851, 1724? 1555 What is the next term in 18, 9, -6, -27, -54? -87 What is the next term in 60, 80, 116, 174, 260, 380, 540, 746? 1004 What is next in 992, 991, 988, 983, 976, 967, 956? 943 What is the next term in -1231, -1236, -1241, -1246? -1251 What is the next term in -14599, -14600, -14601, -14602? -14603 What is next in -21, -35, -67, -123, -209, -331, -495? -707 What is next in 1265, 1266, 1267, 1268, 1269, 1270? 1271 What comes next: 56, 64, 84, 122, 184, 276, 404, 574? 792 What is next in -111, -485, -1109, -1983, -3107, -4481, -6105? -7979 What comes next: 336, 681, 1026, 1371, 1716? 2061 What is the next term in 177, 182, 187? 192 What is next in -15, -49, -117, -231, -403, -645, -969? -1387 What comes next: 9277, 9278, 9279, 9280, 9281? 9282 What comes next: 169, 331, 485, 631? 769 What comes next: -1, -1, -19, -67, -157, -301, -511? -799 What comes next: 48, 52, 58, 66? 76 What comes next: -23, -52, -85, -122? -163 What is next in -12, -57, -138, -261, -432, -657, -942, -1293? -1716 What is next in 449, 901, 1353, 1805, 2257, 2709? 3161 What is next in 20, 48, 76, 104, 132? 160 What is the next term in -43, -40, -35, -28? -19 What comes next: -559, -555, -549, -541, -531, -519? -505 What is the next term in 168, 163, 158, 153, 148, 143? 138 What comes next: 23, 42, 57, 68, 75, 78, 77? 72 What is the next term in -3535, -3539, -3543, -3547, -3551? -3555 What is next in -1361, -1364, -1367, -1370, -1373? -1376 What comes next: -45, -163, -473, -1071, -2053, -3515? -5553 What comes next: 1350, 2697, 4054, 5427, 6822, 8245? 9702 What comes next: -7292, -7290, -7288, -7286? -7284 What is next in 112, 126, 156, 208, 288, 402, 556, 756? 1008 What is next in -19332, -38663, -57994, -77325, -96656? -115987 What is next in 26, 56, 100, 164, 254, 376, 536? 740 What is next in 48, 66, 86, 108, 132, 158, 186? 216 What is next in -192, -193, -194, -195, -196? -197 What is the next term in -13, -19, -17, -1, 35, 97, 191, 323? 499 What comes next: -2208, -4418, -6628? -8838 What comes next: 30555, 30551, 30545, 30537? 30527 What is the next term in -366, -736, -1106, -1476? -1846 What comes next: -11, -64, -159, -302, -499? -756 What is next in -5, -14, -33, -68, -125? -210 What is next in -1, 4, 17, 38, 67, 104, 149? 202 What comes next: -33, -14, 31, 114, 247, 442, 711? 1066 What is next in 173, 162, 151, 140, 129? 118 What is the next term in -23, -44, -75, -122, -191, -288, -419, -590? -807 What comes next: -37, -65, -93? -121 What is next in -1404, -2807, -4210? -5613 What is next in -6, 6, 18, 30, 42? 54 What comes next: 626, 632, 642, 656, 674, 696, 722? 752 What is the next term in -10, -77, -246, -565, -1082? -1845 What comes next: -643, -562, -421, -214, 65, 422, 863? 1394 What is next in 55, 96, 103, 58, -57, -260, -569, -1002? -1577 What is the next term in 79, 88, 103, 124, 151, 184? 223 What comes next: 38, 88, 150, 230, 334, 468, 638? 850 What is next in 400, 411, 426, 445? 468 What comes next: 58, 121, 180, 235, 286, 333? 376 What comes next: 262, 526, 790, 1054, 1318? 1582 What comes next: -3, 21, 59, 117, 201, 317? 471 What is next in 171, 1457, 4941, 11721, 22895, 39561, 62817, 93761? 133491 What comes next: 423, 844, 1265, 1686, 2107? 2528 What comes next: -45, -52, -59, -66? -73 What comes next: 533, 526, 521, 518, 517, 518? 521 What is the next term in -111, -441, -999, -1791, -2823, -4101, -5631, -7419? -9471 What is next in -93, -91, -89, -87? -85 What is next in -34, -43, -52, -61, -70, -79? -88 What is next in 0, -11, -22, -33, -44, -55? -66 What is the next term in 44, 53, 42, 5, -64, -171, -322? -523 What is the next term in 4855, 4852, 4849, 4846, 4843? 4840 What comes next: 1108, 1113, 1120, 1129, 1140? 1153 What is the next term in 398, 796, 1194, 1592, 1990, 2388? 2786 What comes next: 19, 84, 233, 508, 951, 1604, 2509? 3708 What is next in -275, -270, -263, -254, -243? -230 What is next in 23, 0, -107, -340, -741, -1352? -2215 What is next in 85, 80, 79, 82, 89, 100, 115? 134 What is next in 301, 289, 279, 277, 289, 321, 379? 469 What comes next: -156, -146, -124, -90, -44? 14 What comes next: 74, 74, 72, 68? 62 What comes next: -332, -354, -390, -440, -504, -582, -674? -780 What is next in 45, 98, 175, 276, 401? 550 What is the next term in -19, -55, -113, -193? -295 What comes next: 31, 64, 97? 130 What comes next: -22, -47, -102, -199, -350, -567, -862, -1247? -1734 What is next in -73, -102, -133, -166? -201 What is next in 55, 54, 53, 52? 51 What comes next: 2016, 4031, 6046, 8061, 10076, 12091? 14106 What is next in 79, 95, 131, 193, 287, 419? 595 What is next in 24, 35, 34, 15, -28, -101, -210, -361? -560 What comes next: -467, -466, -465, -464, -463, -462? -461 What is next in -83, -359, -813, -1439, -2231? -3183 What is next in -60, -82, -104, -126, -148, -170? -192 What comes next: -379, -371, -357, -337, -311, -279? -241 What comes next: -66, -142, -218? -294 What comes next: -102, -110, -130, -168, -230, -322? -450 What comes next: -21, -18, -15, -12? -9 What comes next: 75, 22, -31, -84? -137 What comes next: 3152, 6306, 9460, 12614? 15768 What is next in -2, -30, -72, -122, -174, -222, -260? -282 What is next in -83, -162, -235, -302, -363? -418 What is next in -2860, -5721, -8582, -11443, -14304, -17165? -20026 What is next in -40, -53, -68, -85, -104? -125 What is next in 9, 307, 1109, 2667, 5233? 9059 What is next in -18, -33, -50, -69? -90 What is next in -232, -227, -222, -217? -212 What is the next term in 26, 63, 126, 227, 378? 591 What is next in -21, -52, -125, -258, -469, -776, -1197, -1750? -2453 What is the next term in -212, -863, -1950, -3473, -5432, -7827? -10658 What is the next term in -1770, -3541, -5312, -7083, -8854? -10625 What comes next: 343, 322, 287, 238, 175? 98 What comes next: -374, -757, -1140, -1523? -1906 What comes next: 477, 958, 1439, 1920, 2401? 2882 What comes next: -39, -29, -5, 39, 109? 211 What comes next: 9670, 9662, 9644, 9610, 9554, 9470? 9352 What is the next term in -255, -544, -833, -1122? -1411 What is the next term in 1248, 2493, 3736, 4977, 6216? 7453 What is next in 25, 120, 365, 832, 1593, 2720, 4285? 6360 What is next in -32, -38, -44, -50, -56, -62? -68 What is next in -435, -443, -465, -507, -575, -675? -813 What is the next term in 179, 290, 481, 758, 1127? 1594 What is the next term in 158, 157, 156? 155 What is next in -24, -75, -164, -297, -480, -719, -1020? -1389 What is next in 67, 276, 625, 1114, 1743, 2512? 3421 What is the next term in 351, 703, 1057, 1413, 1771, 2131, 2493? 2857 What comes next: -97, -203, -309? -415 What is next in 14, 8, 12, 32, 74? 144 What is next in -1794, -1798, -1804, -1812, -1822, -1834? -1848 What comes next: 32176, 32177, 32178, 32179, 32180? 32181 What comes next: -3735, -7470, -11205, -14940? -18675 What is next in -1, -11, -27, -49? -77 What is the next term in 1330, 1329, 1328, 1327, 1326? 1325 What comes next: -68, -138, -208, -278, -348? -418 What comes next: 230, 221, 214, 209, 206, 205? 206 What comes next: -18, 16, 136, 384, 802, 1432? 2316 What is next in 287, 577, 867? 1157 What come
{ "pile_set_name": "DM Mathematics" }
s? 49.502985 How many millilitres are there in seven quarters of a litre? 1750 What is five eighths of a milligram in micrograms? 625 How many minutes are there in seventeen sixths of a week? 28560 How many days are there in 93343.617s? 1.0803659375 What is 3751.5s in minutes? 62.525 How many millilitres are there in seven halves of a litre? 3500 What is 17/6 of a week in minutes? 28560 Convert 65460.4 millilitres to litres. 65.4604 How many hours are there in three eighths of a day? 9 What is 3/8 of a millimeter in micrometers? 375 How many milliseconds are there in one fifth of a minute? 12000 How many grams are there in ninety-one halves of a kilogram? 45500 What is 0.641694s in nanoseconds? 641694000 What is one tenth of a centimeter in millimeters? 1 How many millilitres are there in 3/8 of a litre? 375 How many months are there in eight thirds of a decade? 320 Convert 49.41059 millilitres to litres. 0.04941059 What is thirteen fifths of a gram in milligrams? 2600 What is 29/2 of a kilometer in meters? 14500 How many seconds are there in seven eighths of a hour? 3150 What is six fifths of a litre in millilitres? 1200 How many millilitres are there in 3/40 of a litre? 75 How many nanoseconds are there in 17/2 of a microsecond? 8500 What is eleven tenths of a minute in milliseconds? 66000 How many millilitres are there in 11/4 of a litre? 2750 How many meters are there in 217.922 centimeters? 2.17922 What is one tenth of a litre in millilitres? 100 What is 6680.458 grams in nanograms? 6680458000000 How many centimeters are there in 13/4 of a meter? 325 What is 1/4 of a litre in millilitres? 250 How many minutes are there in 17/2 of a day? 12240 How many micrometers are there in twenty-seven quarters of a millimeter? 6750 What is 920.0913 millilitres in litres? 0.9200913 What is 13/5 of a century in decades? 26 What is 7/4 of a gram in milligrams? 1750 What is 48.249 kilometers in meters? 48249 What is 3/40 of a micrometer in nanometers? 75 What is 19/4 of a kilogram in grams? 4750 Convert 4497.702 years to millennia. 4.497702 How many microseconds are there in six fifths of a millisecond? 1200 How many micrograms are there in 1/20 of a gram? 50000 What is 3/25 of a microgram in nanograms? 120 What is five quarters of a millennium in decades? 125 Convert 2.964466ug to milligrams. 0.002964466 How many litres are there in 8.284346 millilitres? 0.008284346 Convert 7007.514 years to centuries. 70.07514 How many millilitres are there in 43/2 of a litre? 21500 How many years are there in 9.431142 decades? 94.31142 What is 91.90364ml in litres? 0.09190364 How many minutes are there in four fifteenths of a day? 384 How many litres are there in 9931.947 millilitres? 9.931947 How many kilograms are there in one fifth of a tonne? 200 How many litres are there in 82878.32ml? 82.87832 How many nanometers are there in 530555.9 kilometers? 530555900000000000 What is 0.839083ms in seconds? 0.000839083 How many millilitres are there in 691.1187 litres? 691118.7 How many minutes are there in seven halves of a week? 35280 How many millilitres are there in 13/5 of a litre? 2600 What is 29/5 of a week in minutes? 58464 Convert 0.5727782 tonnes to nanograms. 572778200000000 How many decades are there in 83521.95 centuries? 835219.5 What is five eighths of a gram in milligrams? 625 What is 8.795g in milligrams? 8795 What is 14363.9 weeks in days? 100547.3 How many nanometers are there in 309469.4cm? 3094694000000 How many millilitres are there in 29/5 of a litre? 5800 How many millilitres are there in thirty-four fifths of a litre? 6800 How many millilitres are there in 26/5 of a litre? 5200 How many milliseconds are there in 9/16 of a minute? 33750 Convert 2543.0643 microseconds to hours. 0.00000070640675 What is 16877.81ml in litres? 16.87781 How many tonnes are there in 8646.298mg? 0.000008646298 Convert 0.0742192ml to litres. 0.0000742192 How many months are there in 4/3 of a century? 1600 Convert 79232.15 years to centuries. 792.3215 How many millilitres are there in one fifth of a litre? 200 How many weeks are there in 6.4052695 days? 0.9150385 Convert 7.628141 millennia to months. 91537.692 How many centuries are there in 60244.4 millennia? 602444 What is 4/21 of a week in hours? 32 How many millimeters are there in one twentieth of a kilometer? 50000 Convert 252.719g to micrograms. 252719000 How many litres are there in 78.3176ml? 0.0783176 What is 5/4 of a millennium in decades? 125 Convert 16.58059 years to millennia. 0.01658059 How many months are there in eighteen fifths of a decade? 432 Convert 0.065636 decades to months. 7.87632 How many microseconds are there in 990.7676 milliseconds? 990767.6 How many nanograms are there in 1/10 of a milligram? 100000 How many micrometers are there in twenty-one quarters of a centimeter? 52500 How many millilitres are there in 45/2 of a litre? 22500 How many seconds are there in fourty-five quarters of a minute? 675 How many millennia are there in 4.948996 centuries? 0.4948996 How many months are there in 7.77564 years? 93.30768 How many nanograms are there in 3/50 of a microgram? 60 What is 13/8 of a litre in millilitres? 1625 How many micrometers are there in six fifths of a centimeter? 12000 What is seven eighteenths of a hour in seconds? 1400 What is 42/5 of a milligram in micrograms? 8400 Convert 43.2412 nanograms to kilograms. 0.0000000000432412 What is six fifths of a centimeter in micrometers? 12000 What is 5.794021ml in litres? 0.005794021 How many kilometers are there in 70293.53m? 70.29353 What is 0.2761239 minutes in nanoseconds? 16567434000 What is one quarter of a millennium in decades? 25 What is 10241.967 hours in days? 426.748625 How many millilitres are there in five quarters of a litre? 1250 What is 29432.082 microseconds in minutes? 0.0004905347 Convert 3.340412 litres to millilitres. 3340.412 How many millimeters are there in five eighths of a meter? 625 How many millilitres are there in twenty-six fifths of a litre? 5200 How many nanograms are there in 36921.49mg? 36921490000 What is 387127.2mm in kilometers? 0.3871272 How many months are there in 1/4 of a century? 300 How many grams are there in thirty-one fifths of a kilogram? 6200 What is 4.030387 weeks in minutes? 40626.30096 How many centimeters are there in 13/5 of a meter? 260 How many millilitres are there in 48/5 of a litre? 9600 Convert 9.24675 decades to centuries. 0.924675 What is 51/5 of a litre in millilitres? 10200 How many days are there in two sevenths of a week? 2 How many hours are there in 1000730.7us? 0.00027798075 How many millilitres are there in 27/4 of a litre? 6750 What is one quarter of a microgram in nanograms? 250 How many minutes are there in 16066.251ns? 0.00000026777085 What is seven halves of a centimeter in micrometers? 35000 How many centimeters are there in three tenths of a meter? 30 What is 1/20 of a tonne in grams? 50000 How many millilitres are there in three tenths of a litre? 300 How many millimeters are there in 7/2 of a meter? 3500 What is 3578683.5 minutes in weeks? 355.028125 How many kilometers are there in 81551.76 centimeters? 0.8155176 Convert 52.38855 centuries to millennia. 5.238855 Convert 388109.7 milliseconds to nanoseconds. 388109700000 How many kilograms are there in one quarter of a tonne? 250 How many millilitres are there in 0.9778801 litres? 977.8801 How many meters are there in 5/8 of a kilometer? 625 What is 78848.91 decades in centuries? 7884.891 Convert 0.1160081mm to centimeters. 0.01160081 What is 3/8 of a second in milliseconds? 375 What is 3/5 of a century in decades? 6 What is 1/6 of a decade in months? 20 What is 3/50 of a tonne in kilograms? 60 How many micrometers are there in 13/4 of a centimeter? 32500 What is 30612.85g in micrograms? 30612850000 How many months are there in one fifth of a decade? 24 How many kilograms are there in 6/25 of a tonne? 240 How many minutes are there in fourty-nine quarters of a day? 17640 Convert 93.58045 decades to years. 935.8045 What is 21/2 of a kilogram in grams? 10500 How many years are there in 11/2 of a century? 550 What is 6792.19 millilitres in litres? 6.79219 What is one fifth of a kilometer in centimeters? 20000 Convert 90.
{ "pile_set_name": "DM Mathematics" }
- sqrt(40))). sqrt(17)/3 Simplify sqrt(125) + 2*(sqrt(125) + -1 + sqrt(125) + sqrt(125))**2. -55*sqrt(5) + 2252 Simplify (sqrt(352)*5)/(-4*sqrt(176)). -5*sqrt(2)/4 Simplify (sqrt(190) - -4*sqrt(190)*2)/((sqrt(40)*1)/sqrt(4)). 9*sqrt(19) Simplify (sqrt(85)/sqrt(5) + 2)*5*1. 10 + 5*sqrt(17) Simplify (sqrt(36)/sqrt(2) + (1*sqrt(2) + sqrt(2))*3)**2. 162 Simplify sqrt(12)*1 - (sqrt(72)/sqrt(6))**2. -12 + 2*sqrt(3) Simplify (sqrt(2) + 1 + -5)**2 - (sqrt(2) + sqrt(2)*-1)**2*4. -8*sqrt(2) + 18 Simplify (-2 + sqrt(5) + (sqrt(160)/sqrt(4))/sqrt(8))*5. -10 + 10*sqrt(5) Simplify (((sqrt(126)*-1)/sqrt(3))/sqrt(6))**2*-2. -14 Simplify 1*(sqrt(57)/(sqrt(12) + sqrt(3)))**2. 19/9 Simplify (4 + 1 + (0 + sqrt(343))**2)*-4. -1392 Simplify (sqrt(76) + (1*sqrt(76) - sqrt(76))*-6)/sqrt(4) + -3. -3 + sqrt(19) Simplify (-1*(-4 + 0 + sqrt(684)))**2. -48*sqrt(19) + 700 Simplify (sqrt(19) + (sqrt(19) + 0 + -5 + sqrt(19))**2 + (1*sqrt(114))/sqrt(6))*5. -90*sqrt(19) + 505 Simplify (sqrt(2057) + 0 + sqrt(2057))**2 + sqrt(17) - (sqrt(85)*1)/sqrt(5). 8228 Simplify ((sqrt(98) - (sqrt(98) + sqrt(98) + 1) - sqrt(98)) + (sqrt(22) - (sqrt(550) + sqrt(22)))/sqrt(11))**2. 38*sqrt(2) + 723 Simplify sqrt(176)/sqrt(4) - ((sqrt(132) + sqrt(132)*-1)/sqrt(12))**2. 2*sqrt(11) Simplify (1*sqrt(80)*-2*-5)**2. 8000 Simplify (-6*sqrt(1470))/sqrt(10). -42*sqrt(3) Simplify 3*-1*sqrt(64)/sqrt(2). -12*sqrt(2) Simplify (sqrt(108)*6)/(sqrt(48)/(sqrt(48)/sqrt(4))) + -3. -3 + 18*sqrt(3) Simplify (sqrt(405) + 0)**2 + sqrt(5) + sqrt(180)/sqrt(4). 4*sqrt(5) + 405 Simplify (sqrt(55)/(sqrt(15)/sqrt(3) + sqrt(5))*3)**2. 99/4 Simplify ((1*sqrt(68))/sqrt(4) + 4)**2. 8*sqrt(17) + 33 Simplify sqrt(1620) + sqrt(1620) + ((sqrt(1620)*-2)**2 + sqrt(1620))*3. 90*sqrt(5) + 19440 Simplify (sqrt(20) + -1*sqrt(20)*1)/(sqrt(1210)*-2 - sqrt(1210) - sqrt(10)). 0 Simplify 1*sqrt(32) - -2*(sqrt(50))**2. 4*sqrt(2) + 100 Simplify ((-1*sqrt(1536))/((sqrt(72)*-2)/sqrt(9)))**2. 48 Simplify 2*4*(sqrt(99) + (sqrt(99) + 2)**2). 120*sqrt(11) + 824 Simplify 2 + (sqrt(68)/sqrt(4)*4 - (1 + 3*sqrt(17))**2). -152 - 2*sqrt(17) Simplify 2 + ((sqrt(17) - (sqrt(153) + -1)) + (sqrt(272) - 1*sqrt(272)))**2. -4*sqrt(17) + 71 Simplify (5*(-1 + sqrt(832) + sqrt(832) + sqrt(832)) + (sqrt(832) + -2*sqrt(832))*4)**2. -880*sqrt(13) + 100697 Simplify (sqrt(2160)*3)/(sqrt(320) - sqrt(320)*2). -9*sqrt(3)/2 Simplify -5 + sqrt(242) + (2 + sqrt(242) - sqrt(242) - sqrt(242) - sqrt(242)). -11*sqrt(2) - 3 Simplify ((-1*((sqrt(78) - (sqrt(78) + sqrt(78)*-2 + sqrt(78) + sqrt(78))) + sqrt(78)) + sqrt(78))/sqrt(6))**2. 0 Simplify -3 + sqrt(425)*6. -3 + 30*sqrt(17) Simplify sqrt(104)/sqrt(128) + -2. -2 + sqrt(13)/4 Simplify -3*(sqrt(7) + 1) - -5*(2*sqrt(7) + sqrt(7)). -3 + 12*sqrt(7) Simplify -4*((sqrt(36)/sqrt(3))**2 + (sqrt(48) - sqrt(3))*-1). -48 + 12*sqrt(3) Simplify 4*(-4 + sqrt(2448)*4 + sqrt(2448))**2. -1920*sqrt(17) + 244864 Simplify ((sqrt(85) + (sqrt(85) - 1*sqrt(85)))/sqrt(5)*3 + 4*sqrt(153)/sqrt(144))**2. 272 Simplify ((-5*sqrt(187)*2)/(sqrt(121)/sqrt(44)))**2. 6800 Simplify 4 + -6*(4 + 1 + sqrt(19)). -6*sqrt(19) - 26 Simplify (((sqrt(156)*3 + sqrt(156))*-5)/((sqrt(108) + (sqrt(108)*-3 - sqrt(108)))/sqrt(9)))**2. 5200/9 Simplify ((1*sqrt(90))/sqrt(6) - sqrt(15))/(sqrt(144)/sqrt(12)). 0 Simplify -6*sqrt(45)*-2. 36*sqrt(5) Simplify 4 + -2 + -4 + sqrt(52)/sqrt(4) + 2. sqrt(13) Simplify ((sqrt(192)/sqrt(4))/sqrt(12))/((sqrt(10) - sqrt(160))/sqrt(5)). -sqrt(2)/3 Simplify -5 + ((0 + sqrt(48))*1)**2 + 3. 46 Simplify (sqrt(6) + -4*(sqrt(6) + sqrt(6)*-2))/(sqrt(75)*3). sqrt(2)/3 Simplify -3*-1*sqrt(17) + 5. 5 + 3*sqrt(17) Simplify 5 + (sqrt(45))**2 - (sqrt(40)/(sqrt(32)/sqrt(4)))**2. 45 Simplify ((-2*sqrt(121) - sqrt(121))*-4)/(1*(sqrt(44)/sqrt(4) + sqrt(11)) + sqrt(11) + sqrt(11)). 3*sqrt(11) Simplify (sqrt(91)*1*5)/(sqrt(7) - (sqrt(847) + -2*sqrt(847))). 5*sqrt(13)/12 Simplify -2*((1*sqrt(5) - sqrt(5)) + 5). -10 Simplify sqrt(171)/(2*sqrt(225)). sqrt(19)/10 Simplify (2*sqrt(847) + -5 - (1 + sqrt(847) + 1))**2. -154*sqrt(7) + 896 Simplify (sqrt(17) - (sqrt(170)/sqrt(90) + sqrt(17) + sqrt(17))**2) + 1 + -5. -869/9 + sqrt(17) Simplify (-2 + (-3*sqrt(7) - sqrt(7))**2)*-3. -330 Simplify (sqrt(153) + -1 + sqrt(153) + 3 + sqrt(153))**2 - (sqrt(272) + 1 + 3)**2. 4*sqrt(17) + 1093 Simplify -1 + sqrt(931) + -2 - -2*(sqrt(931) + -1). -5 + 21*sqrt(19) Simplify (0 + (sqrt(152) + sqrt(152)*-2)/sqrt(8) - 5*(sqrt(19) - -4*(1 + sqrt(19) - sqrt(19))))**2. 240*sqrt(19) + 1084 Simplify ((sqrt(128) - -2*sqrt(128))*6 + 2)*-1. -144*sqrt(2) - 2 Simplify sqrt(272) - (sqrt(272) + sqrt(272) + sqrt(272) + (sqrt(272) - (sqrt(272) + sqrt(272) + (sqrt(272) - 5*1*sqrt(272)))) + sqrt(272))**2. -13328 + 4*sqrt(17) Simplify sqrt(16)/(sqrt(648)*4). sqrt(2)/36 Simplify (2*sqrt(6048))/(sqrt(150)*-2 + sqrt(150)). -24*sqrt(7)/5 Simplify (sqrt(132)/(sqrt(12)*-1))**2 + 3. 14 Simplify (sqrt(2) - (-2 + (sqrt(10)/sqrt(5) - sqrt(2))))**2 + sqrt(12)/(sqrt(6) - sqrt(96)). 11*sqrt(2)/3 + 6 Simplify (0 + (-1*sqrt(320))**2 - (sqrt(320) + -1*sqrt(320)*-1)**2)*5. -4800 Simplify 6*(sqrt(11) + sqrt(55)/(sqrt(15)/sqrt(3))). 12*sqrt(11) Simplify ((0 + sqrt(3))*-6 - sqrt(3)) + (sqrt(3) - (-1 + sqrt(3) + sqrt(3) + sqrt(3))**2) + -3. -31 Simplify (3*(sqrt(7) - (5 + sqrt(7))))**2 + sqrt(56)/(sqrt(8)*-6). -sqrt(7)/6 + 225 Simplify (-3*(sqrt(252) + -1) + -4)*2. -36*sqrt(7) - 2 Simplify 3 + (4*sqrt(364))/sqrt(7). 3 + 8*sqrt(13) Simplify ((1*sqrt(220))/sqrt(5))/(sqrt(484)*-1). -sqrt(11)/11 Simplify 2*sqrt(304)*1. 8*sqrt(19) Simplify (sqrt(300)/sqrt(5) - sqrt(60))/sqrt(3). 0 Simplify ((sqrt(119) - (-2*sqrt(119)*-1 - sqrt(119)))/(sqrt(28)/sqrt(4)*-4))**2. 0 Simplify (2*sqrt(96))/((sqrt(12) + (sqrt(12) - sqrt(48)/sqrt(4)))*-6 + sqrt(12)). -4*sqrt(2)/5 Simplify (5*(-2*sqrt(143) + sqrt(143)) + sqrt(143))/(1*2*sqrt(11)). -2*sqrt(13) Simplify (-4*(sqrt(11) + sqrt(11)*2))**2 + sqrt(99)*6. 18*sqrt(11) + 1584 Simplify (3*sqrt(245) + 0)**2. 2205 Simplify -1 + sqrt(20) - sqrt(55)/(sqrt(99) + sqrt(11)). -1 + 7*sqrt(5)/4 Simplify -5*(0 + sqrt(44))*-5. 50*sqrt(11) Simplify (sqrt(16)/((sqrt(432)/sqrt(9))/sqrt(6)))**2*-5. -10 Simplify (sqrt(19) - (sqrt(19) + (sqrt(19) - 1*sqrt(1539))) - (sqrt(76) + sqrt(19))*-4)**2. 7600 Simplify 5*-1*sqrt(14)/sqrt(7). -5*sqrt(2) Simplify (sqrt(300) + (1 + 2*sqrt(300) - sqrt(300)) + sqrt(300))**2. 60*sqrt(3) + 2701 Simplify (-4*(-1 + sqrt(448)))**2 + 2. -256*sqrt(7) + 7186 Simplify (-5*sqrt(20)*-1)/(sqrt(144) + sqrt(144)*2). 5*sqrt(5)/18 Simplify (sqrt(110) + (sqrt(110) - (3*(sqrt(110) - (sqrt(110)*-3 + sqrt(110) + sqrt(110))) + sqrt(110) + sqrt(110))))/sqrt(10) + 0. -6*sqrt(11) Simplify ((-2*sqrt(420) + sqrt(420) + sqrt(420) + sqrt(420))/sqrt(12))/(-2*sqrt(5)*-5). sqrt(7)/10 Simplify sqrt(128)*2 - sqrt(16)/(sqrt(8) + (-2*sqrt(8) - sqrt(8))). 33*sqrt(2)/2 Simplify (sqrt(114)/(sqrt(24)/sqrt(4)))**2 + sqrt(19) - 2*sqrt(171). -5*sqrt(19) + 19 Simplify -5 + 2*sqrt(3) + -4. -9 + 2*sqrt(3) Simplify (sqrt(1216) + 0 + -4 + sqrt(1216)*-2 + 3)**2. 16*sqrt(19) + 1217 Simplify ((sqrt(170)*-2*-5)/(sqrt(10) + (sqrt(10) + sqrt(10)*-1*-1 - sqrt(10))))**2. 425 Simplify (0 + ((-5*sqrt(144))/sqrt(6))/sqrt(8))**2. 75 Simplify sqrt(55)/(sqrt(15)/sqrt(3)) - (sqrt(132)/sqrt(3))/sqrt(4). 0 Simplify sqrt(468)*-4 + -3 + (sqrt(13)*3 - sqrt(13)). -22*sqrt(13) - 3 Simplify -4 + (sqrt(5) - (sqrt(405)*-1)**2) + -2. -411 + sqrt(5) Simplify ((sqrt(10)/sqrt(2) + -3 - sqrt(245)*1) + 0)**2. 36*sqrt(5) + 189 Simplify (0 + sqrt(80) + sqrt(80) + -4 + 3 + -2*sqrt(80))**2. 1 Simplify ((sqrt(3) + sqrt(48)*5 + sqrt(144)/sqrt(12))*1)**2. 1587 Simplify ((sqrt(20)*2 + sqrt(20))*6)/(sqrt(50)/sqrt(80)). 72*sqrt(2) Simplify 0 + -2*sqrt(1584). -24*sqrt(11) Simplify -6*((3 + sqrt(147))**2 + -2). -924 - 252*sqrt(3) Simplify (sqrt(624)/sqrt(3))**2 - sqrt(52)/(sqrt(4) - 2*sqrt(4)). sqrt(13) + 208 Simplify 3 + (((2*sqrt(4))/sqrt(2) + 2)*6)**2. 288*sqrt(2) + 435 Simplify (sqrt(176) - (sqrt(176) + sqrt(176) + sqrt(176) + -1 + -2 + sqrt(176)))**2. -72*sqrt(11) + 1593 Simplify (1*(sqrt(363) + 1*sqrt(363) + sqrt(363)) + sqrt(363) - sqrt(363))*-3. -99*sqrt(3) Simplify -5 + (-1 + sqrt(605))**2. -22*sqrt(5) + 601 Simplify (sqrt(38)/sqrt(2)*-1 - (sqrt(76)*-3 - sqrt(19)))**2. 684 Simplify (-1*sqrt(76))/sqrt(4) + -4. -sqrt(19) - 4 Simplify -4 + sqrt(50) + sqrt(300)/s
{ "pile_set_name": "DM Mathematics" }
icked without replacement from kwkkjkkwkwkkwkkkwkkk. What is prob of picking 3 w? 1/114 Three letters picked without replacement from {i: 1, l: 2, y: 1}. Give prob of picking 1 y and 2 l. 1/4 Calculate prob of picking 2 k when two letters picked without replacement from wwkkzkkmmkkkk. 14/39 Calculate prob of picking 1 i and 2 o when three letters picked without replacement from {i: 1, d: 10, o: 4, e: 2, c: 1}. 1/136 Two letters picked without replacement from ordknido. Give prob of picking 2 d. 1/28 What is prob of picking 4 h when four letters picked without replacement from {g: 1, h: 12, f: 6}? 165/1292 Two letters picked without replacement from isiiiiiis. Give prob of picking 2 i. 7/12 What is prob of picking 4 c when four letters picked without replacement from {y: 1, u: 4, s: 1, c: 6, h: 1}? 3/143 Calculate prob of picking 4 s when four letters picked without replacement from {b: 3, t: 12, d: 1, s: 4}. 1/4845 Three letters picked without replacement from lcaldlalaldllyyaac. What is prob of picking 1 l and 2 c? 7/816 What is prob of picking 1 f, 1 v, and 1 q when three letters picked without replacement from {t: 1, z: 5, v: 1, q: 6, f: 2}? 12/455 Calculate prob of picking 3 u and 1 s when four letters picked without replacement from xjuuujssxuusjuuuu. 9/85 Two letters picked without replacement from tnddhdddhxnh. What is prob of picking 2 h? 1/22 What is prob of picking 1 k and 2 r when three letters picked without replacement from csrkrpcrrrctsrscttrs? 7/380 Calculate prob of picking 1 o and 1 c when two letters picked without replacement from ccoazrii. 1/14 Two letters picked without replacement from {v: 2, l: 10, m: 2}. Give prob of picking 1 m and 1 v. 4/91 Calculate prob of picking 1 w, 1 m, and 1 v when three letters picked without replacement from {w: 3, v: 1, d: 4, m: 2}. 1/20 Calculate prob of picking 2 s and 1 i when three letters picked without replacement from iisiisiiii. 1/15 Two letters picked without replacement from {m: 3, q: 5, v: 5}. Give prob of picking 2 v. 5/39 Four letters picked without replacement from kzfzffnznzqzfjz. Give prob of picking 2 j, 1 n, and 1 z. 0 Calculate prob of picking 1 h and 3 g when four letters picked without replacement from chcohccggogiihgvhgoi. 8/969 Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {r: 1, l: 2, h: 1, x: 1, d: 1, k: 1}. 1/21 Calculate prob of picking 2 k when two letters picked without replacement from nknknakknknknknsk. 7/34 Two letters picked without replacement from txxxtxxtxx. What is prob of picking 2 t? 1/15 Two letters picked without replacement from {h: 3, b: 4, f: 2}. Give prob of picking 1 b and 1 h. 1/3 Calculate prob of picking 3 r when three letters picked without replacement from jrrrrrrjrrrrrrrrrrrr. 68/95 Two letters picked without replacement from hmkrmrmrphkmnrh. What is prob of picking 1 p and 1 n? 1/105 Two letters picked without replacement from esahes. What is prob of picking 1 a and 1 h? 1/15 Calculate prob of picking 2 f, 1 a, and 1 y when four letters picked without replacement from {f: 5, t: 3, y: 4, a: 7}. 70/969 What is prob of picking 1 y and 2 s when three letters picked without replacement from sjyjnyqysqhyjjnjsjq? 4/323 What is prob of picking 2 u when two letters picked without replacement from hhuuhhhjjhuuuh? 10/91 Four letters picked without replacement from {d: 3, k: 3, z: 9, c: 2}. Give prob of picking 1 d, 1 c, and 2 k. 9/1190 Three letters picked without replacement from {e: 1, y: 1, a: 4, u: 2}. What is prob of picking 1 u and 2 a? 3/14 Two letters picked without replacement from uiuuiiuiuuiuii. What is prob of picking 1 i and 1 u? 7/13 Two letters picked without replacement from {o: 1, j: 14}. Give prob of picking 2 j. 13/15 Two letters picked without replacement from {o: 2, d: 1}. What is prob of picking 1 d and 1 o? 2/3 What is prob of picking 3 h and 1 u when four letters picked without replacement from uhhuuhuuuunuhn? 32/1001 Two letters picked without replacement from {f: 15, i: 3}. What is prob of picking 1 f and 1 i? 5/17 Three letters picked without replacement from {o: 1, h: 6, v: 1, c: 1}. What is prob of picking 1 o and 2 h? 5/28 What is prob of picking 2 d when two letters picked without replacement from ddldlldddldddd? 45/91 Calculate prob of picking 2 d and 1 s when three letters picked without replacement from {c: 1, z: 2, s: 2, e: 1, d: 4}. 1/10 What is prob of picking 2 s and 1 n when three letters picked without replacement from {n: 7, i: 3, s: 3}? 21/286 What is prob of picking 2 u and 1 c when three letters picked without replacement from cuucccuccccc? 27/220 Two letters picked without replacement from {j: 1, q: 1, x: 2, u: 2, f: 1, y: 1}. What is prob of picking 1 y and 1 f? 1/28 Two letters picked without replacement from {r: 1, q: 1, v: 2, p: 4, u: 2}. What is prob of picking 2 u? 1/45 Three letters picked without replacement from sllilqslw. What is prob of picking 1 w, 1 l, and 1 i? 1/21 Three letters picked without replacement from {y: 5, g: 1, b: 1, n: 1, d: 1}. Give prob of picking 2 y and 1 d. 5/42 Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {w: 2, z: 2}. 2/3 Four letters picked without replacement from {g: 2, u: 1, s: 4, j: 2}. What is prob of picking 1 s, 1 u, and 2 j? 2/63 Three letters picked without replacement from pgahpauauhjghjaa. Give prob of picking 1 g, 1 h, and 1 p. 3/140 Three letters picked without replacement from {m: 8, v: 1, w: 2, g: 2, q: 5}. What is prob of picking 1 g and 2 v? 0 Four letters picked without replacement from {h: 3, s: 5, u: 1, m: 11}. Give prob of picking 3 s and 1 h. 2/323 Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {j: 3, t: 1, p: 16}. 24/95 Two letters picked without replacement from {w: 2, d: 3}. What is prob of picking 1 w and 1 d? 3/5 What is prob of picking 1 h and 1 f when two letters picked without replacement from ufusshushsh? 3/55 Two letters picked without replacement from {s: 2, r: 1, j: 2, b: 1, f: 10}. What is prob of picking 2 b? 0 Calculate prob of picking 1 k and 2 z when three letters picked without replacement from {z: 2, f: 1, k: 8, o: 4}. 8/455 Four letters picked without replacement from lljllllllljl. Give prob of picking 4 j. 0 Three letters picked without replacement from xhhn. What is prob of picking 2 n and 1 x? 0 What is prob of picking 3 u when three letters picked without replacement from ssrduqdurccrrruddr? 1/816 Four letters picked without replacement from {a: 1, d: 3, n: 2, g: 1, r: 3, c: 2}. What is prob of picking 2 d, 1 r, and 1 n? 2/55 What is prob of picking 1 p and 1 f when two letters picked without replacement from {f: 7, p: 1, l: 5}? 7/78 Calculate prob of picking 1 y and 1 r when two letters picked without replacement from brnnbyrbnyb. 4/55 Three letters picked without replacement from bbfffffbbfffffbf. Give prob of picking 1 f and 2 b. 11/56 What is prob of picking 4 r when four letters picked without replacement from {o: 4, r: 15}? 455/1292 Four letters picked without replacement from {d: 1, o: 3, t: 6, c: 4}. What is prob of picking 4 c? 1/1001 What is prob of picking 1 r, 1 o, and 1 f when three letters picked without replacement from kfpofhrkr? 1/21 Four letters picked without replacement from {q: 6, b: 1, o: 1, p: 3, t: 2, r: 2}. What is prob of picking 2 p, 1 r, and 1 b? 2/455 Two letters picked without replacement from zuo. What is prob of picking 1 z and 1 u? 1/3 Two letters picked without replacement from jaaijaaajjaiii. Give prob of picking 2 i. 6/91 What is prob of picking 2 f when two letters picked without replacement from {f: 5, g: 3}? 5/14 Two letters picked without replacement from {u: 2, r: 8}. What is prob of picking 1 u and 1 r? 16/45 Calculate prob of picking 1 l and 1 k when two letters picked without replacement from {l: 7, u: 1, d: 1, z: 2, k: 5, v: 1}. 35/136 Three letters picked without replacement from {g: 6, m: 6, n: 7}. What is prob of picking 3 g? 20/969 Three letters picked without replacement from qqueqepqeeqeeqqeee. Give prob of picking 2 q and 1 p. 7/272 What is prob of picking 3 g when three letters picked without replacement from {s: 1, g: 12}? 10/13 Two letters picked
{ "pile_set_name": "DM Mathematics" }
p(k) = -14*k**2. Calculate p(l(g)). -14*g**2 Let z(f) = -7*f**2 + 3*f**2 + 3*f**2. Let l(h) = -2*h. Calculate z(l(q)). -4*q**2 Let k(h) be the second derivative of h**4/12 - 36*h. Let a(r) = 10*r**2 + 4*r. Let u(l) = 19*l**2 + 7*l. Let t(s) = -7*a(s) + 4*u(s). What is t(k(j))? 6*j**4 Let l(v) = 3*v. Let z(s) = -5*s**2 + 11*s**2 - s**2. What is l(z(g))? 15*g**2 Let c be 0 + (-3)/3 - -9. Let u = c + -6. Let s(z) = 2*z**2 - u + 2. Let d(n) = -n. Calculate s(d(t)). 2*t**2 Let z(t) = -5*t. Let o(u) be the first derivative of -u**4/12 + 2*u**2 + 2. Let r(v) be the second derivative of o(v). Calculate r(z(j)). 10*j Let c(r) = -r**2 + 1. Let t(d) = -8*d**2 + 6. Let m(q) = 6*c(q) - t(q). Let x(l) be the first derivative of -2*l**3/3 - 7. Calculate x(m(k)). -8*k**4 Let b(a) = -3*a**2. Let m(k) = 344*k**2. Calculate b(m(r)). -355008*r**4 Let t(n) be the first derivative of 2*n**3/3 + 4. Let l(p) = 10*p + 5. Let s(o) = -11*o - 6. Let d(b) = 6*l(b) + 5*s(b). Give t(d(u)). 50*u**2 Let n(u) be the first derivative of 2*u**3/3 - 1. Let r(c) be the second derivative of -c**3/3 - c + 22. What is r(n(g))? -4*g**2 Let o(v) = -5*v. Let w(t) = 163 - 81 + 4*t - 82. What is o(w(x))? -20*x Let k(y) = -5*y**2. Suppose -2*d - o - 4*o = -14, -2*o + 4 = 0. Let s(a) = 85*a**2. Let f(v) = d*s(v) + 35*k(v). Let z(h) = h**2. Calculate z(f(x)). 25*x**4 Let d be 6/(-9) - 24/(-9). Let n(l) = 0*l**2 - 2*l**d + 2 - 2. Let j(h) = -h**2 + h - h. What is j(n(r))? -4*r**4 Let w(n) = 17 + n**2 - 17. Let g(v) = v**2 + 5*v + 5. Let s(r) = -r - 1. Let u(b) = g(b) + 5*s(b). What is w(u(d))? d**4 Let d(g) = 331*g**2. Let w(f) = f**2. Determine d(w(j)). 331*j**4 Let v be 2 + 3 + -5 - 0. Let z(r) be the third derivative of v*r + 1/24*r**4 - r**2 + 0 + 0*r**3. Let i(d) = -2*d. Determine z(i(b)). -2*b Let c(r) be the third derivative of r**4/8 - r**2. Let u = -6 + 11. Let t(y) = -3*y + u*y + 0*y. Calculate t(c(z)). 6*z Let g(h) be the second derivative of -h**3/6 + h. Let n(z) be the first derivative of -3 - 4/3*z**3 + 0*z**2 + 0*z. Calculate n(g(s)). -4*s**2 Let v(b) = -b**2. Let h(l) = 1313*l**2. What is h(v(u))? 1313*u**4 Let t(z) = -49*z + 2. Let p(g) = -17*g. Determine t(p(h)). 833*h + 2 Let t(w) be the first derivative of -w**2/2 - 14. Let y(d) be the third derivative of -d**5/6 + d**2. Determine y(t(k)). -10*k**2 Let b(s) = -64*s. Let a(d) = -38*d. What is a(b(j))? 2432*j Let m(z) be the second derivative of -z**3/6 + 7*z. Let y(g) = -g**2. Calculate m(y(t)). t**2 Let i(b) = -4*b**2. Let h(n) = -4*n - 359. Calculate h(i(u)). 16*u**2 - 359 Suppose -2*m - 5*q + 8 = -q, m - 4 = 2*q. Let a(o) = -5*o + m*o + 3*o. Let z(t) = -t. What is a(z(w))? -2*w Let t(s) = 4*s**2. Let k(v) = -4*v**2 - 9. Let m(o) = -o**2 - 2. Let a(i) = -i - 7. Let l be a(-3). Let q(p) = l*k(p) + 18*m(p). Determine t(q(f)). 16*f**4 Let t(s) = -2*s**2. Let z(i) = -15*i - 3. Let v(u) = 29*u + 5. Let d(p) = 6*v(p) + 11*z(p). Let j(a) = a - 1. Let b(q) = d(q) - 3*j(q). What is b(t(m))? -12*m**2 Let l(w) = w - 2. Let n(i) = -3*i + 5. Let d(q) = 5*l(q) + 2*n(q). Let s(g) = -2*g**2. Calculate d(s(k)). 2*k**2 Let b(w) = -9*w + 2. Let r(t) = -7*t. Give r(b(x)). 63*x - 14 Let y = -1/17 + 20/51. Let g(j) be the first derivative of -2 + y*j**3 + 0*j**2 + 0*j. Let o(z) = 2*z. Calculate o(g(q)). 2*q**2 Let l(q) = -2*q**2. Let z be ((-2)/3)/(2/(-15)). Let d(y) = -z*y + 5*y + 3*y**2. What is l(d(f))? -18*f**4 Let x(i) be the third derivative of i**5/30 - 2*i**2. Let v(c) = -c**2 + 5*c - 5. Let a(b) = -b + 1. Let h(z) = -5*a(z) - v(z). What is x(h(q))? 2*q**4 Let f(x) = -3*x + 5. Let r(o) = 2*o - 3. Let d(y) = -6*f(y) - 10*r(y). Let v(a) = a**2 + 138656 - 138656. Determine v(d(w)). 4*w**2 Let y(r) = 2*r**2. Let z = 1 - -5. Let l(v) = 6*v - 5*v**2 - z*v. Calculate l(y(m)). -20*m**4 Let k(j) be the second derivative of -j**3/3 + j. Let g(f) be the first derivative of -f**2 - 1. Determine g(k(o)). 4*o Let w(c) = c. Let v(u) = 2*u. Suppose 0*l - 4*d + 14 = -l, 0 = l + 2*d - 10. Let q = 10 - 0. Let h(x) = -11*x. Let t(r) = l*h(r) + q*v(r). Give w(t(f)). -2*f Let g(n) = -195*n. Let t(h) = -2*h. Calculate t(g(z)). 390*z Let v(w) = -w. Let c(m) = -83*m**2 + 1. What is v(c(q))? 83*q**2 - 1 Let p(n) = -6*n. Let f(l) = 4*l. Let t(g) = -3*g. Let i(q) = 3*f(q) + 3*t(q). Give i(p(h)). -18*h Let j(f) = 3*f**2. Let h = 6 - 2. Let q(a) = a**2 - 4*a**2 + h*a**2. What is j(q(r))? 3*r**4 Let s(i) be the third derivative of -i**4/24 - 3*i**2. Let y(p) = -3*p. What is y(s(h))? 3*h Let v(d) = d**2. Let g(p) = -2*p**2 + 5*p. Let x(u) = -6*u**2 + 16*u. Let t(j) = 16*g(j) - 5*x(j). Calculate v(t(a)). 4*a**4 Let y(h) = -5*h. Let q(w) = 3*w + 9. Let f(l) = -1. Let b(o) = 9*f(o) + q(o). Give y(b(c)). -15*c Let u(o) = o**2 - 4*o - 6. Let t be u(6). Let y(g) = -t*g + 2*g + 2*g. Let f(a) = -a**2. Give f(y(b)). -4*b**2 Let x(z) = -219*z. Let y(m) = -18*m. Determine y(x(a)). 3942*a Let o(i) be the second derivative of 0*i**2 + 1/6*i**3 + 0 - 2*i. Let w(m) = 6*m. Give w(o(p)). 6*p Let c(j) = 32*j**2. Let z(l) = l**2 + 5*l. Let x(g) = -g. Let q(h) = -5*x(h) - z(h). Give c(q(r)). 32*r**4 Let u(n) = -n. Let v(d) = 34 - 16 + d - 18. Give v(u(o)). -o Let w(f) be the first derivative of -f**2/2 + 5. Let y(v) = 13*v. Determine w(y(c)). -13*c Let i(v) = 2*v. Let x(q) be the second derivative of 4*q**4/3 - 11*q. Determine x(i(o)). 64*o**2 Let l(o) = -14*o + 25. Let p(z) = 4*z. Determine p(l(m)). -56*m + 100 Suppose -r = 1, 4*r = -3*y + 5*r + 7. Suppose -k + 0*k + 3 = -y*j, -15 = -5*k - j. Let p(n) = -k*n + 0*n + 0*n. Let o(u) = -2*u**2. Determine o(p(h)). -18*h**2 Let t(z) = -194*z - 2. Let h(c) = -2*c**2. Give h(t(o)). -75272*o**2 - 1552*o - 8 Let o(t) = -7*t**2 - 5*t. Let a(j) = 3*j**2 + 2*j. Let u(m) = -10*a(m) - 4*o(m). Let w(k) = -3*k. Calculate u(w(s)). -18*s**2 Let o(h) = 1 - h + h - h. Let b(j) = -1. Let t(w) = -2*b(w) - 2*o(w). Let p(x) = 5*x**2. Calculate p(t(g)). 20*g**2 Let j(k) = -k**3 + 5*k**2 - 4*k + 5. Let v be j(4). Let d(r) = -v*r**2 + 0*r**2 + 0*r**2. Let z(q) = q**2. Calculate z(d(n)). 25*n**4 Let g(o) = 2 + o + 2*o + 4 + 5*o. Let n(u) = -7*u - 5. Let r(q) = -5*g(q) - 6*n(q). Let x(a) = a**2. Determine x(r(s)). 4*s**2 Let y(g) = 5*g**2 + 4. Let d(i) = 6*i**2 + 5. Let f(z) = 4*d(z) - 5*y(z). Let t(o) = -o - 3. Let k(n) = -3*n - 8. Let l(a) = 3*k(a) - 8*t(a). What is l(f(w))? w**2 Let x(g) = 30*g**2. Let f(j) = 72*j. Calculate x(f(d)). 155520*d**2 Let n(q) = 9*q**2 - 14*q**2 + 0*q**2 + 4*q**2. Let d(w) = -39*w - 2. What is d(n(h))? 39*h**2 - 2 Let n(t) be the first derivative of -10*t**3 + 1. Let x(r) = r**2. What is n(x(y))? -30*y**4 Let n(h) = 35*h. Let m(k) = -5*k**2. Give n(m(t)). -175*t**2 Let w(o) = o**2. Let r(j) be the first derivative of -j**3 + 3. Give r(w(n)). -3*n**4 Let z(r) = -5*r**2. Let w(n) = 9*n**2. Let b(t) = 3*w(t) + 5*z(t). Let d(a) be the second derivative of -a**4/4 + 48*a. What is b(d(g))? 18*g**4 Let p(n) be the third derivative of 0*n + 0*n**4 + 0*n**3 + n**2 + 1/20*n**5 + 0. Let m(x) = -2*x**2. Give m(p(h)). -18*h**4 Let c(i) = 3. Let m(w) = w + 8. Let h(g) = -8*c(g) + 3*m(g). Let s(t) be the second derivative of -t**3/3 + 2*t. What is h(s(j))? -6*j Let w(q) = -6*q**2. Let v(c) be the first derivative of 0*c**2 + 2/3*c**3 + 0*c + 3. Calculate v(w(f)). 72*f**4 Let d(g) = -9*g**2. Let f(y) = y**2. Calculate f(d(p)). 81*p**4 Let m(b) be the first derivative of -43*b**2/2 + 26. Let p(o) = 2*o**2. Calculate m(p(z)). -86*z**2 Let s(p) be the first derivative of p**6/180 - 8*p**3/3 - 9. Let x(o) be the third derivative of s(o). Let g(v) = 0*v**2 + 2*v**2 - 4*v**2. Calculate g(x(m)). -8*m**4 Let h(o) be the first derivative of 4*o**2 + 15. Let y(p) = -2*p. What is h(y(r))? -16*r Let f(k) = -43*k + 2. Let r(s) = 50*s**2 - 2. Determine r(f(i)). 92450*i**2 - 8600*i + 198 Let y(i) = -2*i. Let a(z) = -z + 1. Let q(t) = 3*t + 2. Let m be 1*(9/3 + -1). Let b(d) = m*a(d) - q(d). What is y(b(u))? 10*u Let l(h) = -2*h**2 + 6. Let p(r) = 1. Suppose -4 = 4*t - 0. Let g(f) = t*l(f) + 6*p(f). Let z(s) = -2*s. Calculate z(g(v)). -4*v**2 Let z(o) = 108*o + 112*o - 221*o. Let b(a) = 46*a + 2. Calculate b(z(m)). -46*m + 2 Let v(t) = 4*t**2. Let k(z) be the first derivative of -z**3/3 + 24. Give k(v(d)). -16*d**4 Let b(l) = 2*l. Let v(p) = -2*p**3 - 2*p**2 -
{ "pile_set_name": "DM Mathematics" }
qzqoqoo? 1/7 Two letters picked without replacement from immm. What is prob of sequence mi? 1/4 What is prob of sequence eb when two letters picked without replacement from beebeeb? 2/7 Four letters picked without replacement from sjmxmyujjsm. What is prob of sequence yjsm? 1/440 Two letters picked without replacement from {l: 2, a: 2, y: 4}. What is prob of sequence ly? 1/7 Four letters picked without replacement from mrrrrrmmmrmrm. What is prob of sequence mrrm? 21/286 Calculate prob of sequence qjj when three letters picked without replacement from qqjqjqqj. 5/56 What is prob of sequence pce when three letters picked without replacement from {c: 9, p: 5, e: 2}? 3/112 Calculate prob of sequence pw when two letters picked without replacement from wxxxxxwxwpwxw. 5/156 Three letters picked without replacement from yawygabwyppy. What is prob of sequence awa? 1/330 Calculate prob of sequence mff when three letters picked without replacement from {m: 2, w: 5, f: 4}. 4/165 What is prob of sequence sjd when three letters picked without replacement from llljlslldldlldd? 2/1365 Two letters picked without replacement from {c: 6, r: 2, f: 3, v: 4}. Give prob of sequence cc. 1/7 Calculate prob of sequence pgg when three letters picked without replacement from gupvghuhghyp. 1/110 Two letters picked without replacement from wlbblnl. Give prob of sequence bb. 1/21 Calculate prob of sequence tt when two letters picked without replacement from {t: 6, v: 4}. 1/3 What is prob of sequence vvm when three letters picked without replacement from {h: 1, v: 2, m: 11, o: 2}? 11/1680 What is prob of sequence lyy when three letters picked without replacement from yllyhlhlhylllffl? 1/70 Calculate prob of sequence uj when two letters picked without replacement from fuufuafjfa. 1/30 What is prob of sequence dlb when three letters picked without replacement from caabduulc? 1/504 Two letters picked without replacement from {k: 2, j: 4}. What is prob of sequence kk? 1/15 Four letters picked without replacement from {u: 7, k: 2, y: 1, n: 6, f: 1}. Give prob of sequence ykuu. 1/680 What is prob of sequence kk when two letters picked without replacement from rksrrrsksrrkrk? 6/91 Calculate prob of sequence jd when two letters picked without replacement from {d: 4, h: 3, j: 1}. 1/14 Four letters picked without replacement from btbcrytcctccbbq. Give prob of sequence cryt. 1/2184 Two letters picked without replacement from {c: 1, j: 3, z: 6, s: 2, r: 5}. Give prob of sequence zz. 15/136 Three letters picked without replacement from simieseieiiesiiiisi. Give prob of sequence sim. 20/2907 Calculate prob of sequence www when three letters picked without replacement from {w: 5}. 1 What is prob of sequence xxxk when four letters picked without replacement from wwkwxxkzxw? 1/420 Two letters picked without replacement from oooooooogogooooooogo. Give prob of sequence go. 51/380 Three letters picked without replacement from {k: 2, g: 2, d: 2}. What is prob of sequence kkd? 1/30 Two letters picked without replacement from {b: 6, i: 1, t: 12}. What is prob of sequence bi? 1/57 What is prob of sequence qgg when three letters picked without replacement from sgnqgn? 1/60 Two letters picked without replacement from bzcz. What is prob of sequence cb? 1/12 What is prob of sequence bbyy when four letters picked without replacement from {n: 1, y: 7, b: 6}? 15/286 Calculate prob of sequence pyoi when four letters picked without replacement from opiiyfp. 1/210 What is prob of sequence fk when two letters picked without replacement from rfkrfrfyryrfik? 4/91 Calculate prob of sequence li when two letters picked without replacement from liilikiiikililii. 1/6 Three letters picked without replacement from {s: 4, v: 10}. What is prob of sequence svv? 15/91 What is prob of sequence jkt when three letters picked without replacement from {i: 1, t: 3, j: 1, k: 2}? 1/35 Calculate prob of sequence mvm when three letters picked without replacement from qmmvmmvvwvqnvqgvnmn. 20/969 Three letters picked without replacement from {m: 2, e: 18}. Give prob of sequence mem. 1/190 Calculate prob of sequence zzqa when four letters picked without replacement from zzzqazzzz. 1/72 Two letters picked without replacement from {a: 1, m: 1, e: 1, v: 2, d: 1, o: 1}. What is prob of sequence ae? 1/42 What is prob of sequence pyyp when four letters picked without replacement from pypy? 1/6 Three letters picked without replacement from {c: 4, t: 5, z: 10}. What is prob of sequence tzt? 100/2907 What is prob of sequence bf when two letters picked without replacement from bgbfgfbhfhgthffqb? 5/68 Three letters picked without replacement from {b: 8, j: 4, w: 5}. What is prob of sequence wwj? 1/51 Four letters picked without replacement from chhhhvihihhhchiih. What is prob of sequence cciv? 1/7140 Three letters picked without replacement from ppeeeezp. What is prob of sequence zpe? 1/28 Two letters picked without replacement from xoauxaoxuxoau. What is prob of sequence uo? 3/52 Four letters picked without replacement from {c: 1, r: 1, b: 2, s: 1}. Give prob of sequence csrs. 0 Four letters picked without replacement from {r: 2, x: 4, g: 6, t: 1}. What is prob of sequence xrrt? 1/2145 Two letters picked without replacement from yvyvyy. Give prob of sequence vy. 4/15 Calculate prob of sequence ogo when three letters picked without replacement from ofwgbobbb. 1/252 What is prob of sequence ttgt when four letters picked without replacement from {c: 1, g: 3, n: 2, j: 3, r: 3, t: 3}? 1/1820 Three letters picked without replacement from bttztbtbzb. Give prob of sequence tzz. 1/90 Four letters picked without replacement from zzgzubbqquzfuuzzz. Give prob of sequence bbzg. 1/4080 Three letters picked without replacement from {e: 2, k: 2}. Give prob of sequence kek. 1/6 What is prob of sequence qk when two letters picked without replacement from {p: 1, k: 1, j: 1, z: 1, q: 1}? 1/20 Two letters picked without replacement from {t: 1, a: 2, e: 1, s: 1, v: 1, q: 1}. Give prob of sequence vq. 1/42 What is prob of sequence eef when three letters picked without replacement from fefeeeeeefee? 9/55 Calculate prob of sequence xxxa when four letters picked without replacement from aaaaaaaaaaxaxxa. 1/455 Calculate prob of sequence xxx when three letters picked without replacement from {x: 5, s: 2}. 2/7 Calculate prob of sequence xxx when three letters picked without replacement from xxxxxxx. 1 Calculate prob of sequence wv when two letters picked without replacement from {w: 7, v: 2, z: 6}. 1/15 What is prob of sequence ot when two letters picked without replacement from toos? 1/6 Calculate prob of sequence ds when two letters picked without replacement from {s: 2, n: 2, b: 1, d: 1, y: 1}. 1/21 Three letters picked without replacement from {g: 15, b: 5}. What is prob of sequence bbg? 5/114 Calculate prob of sequence mq when two letters picked without replacement from {m: 1, o: 1, q: 16}. 8/153 Calculate prob of sequence zy when two letters picked without replacement from qzoqjyoj. 1/56 What is prob of sequence zzaa when four letters picked without replacement from zzzzzzazazzzzzzzzz? 1/153 Two letters picked without replacement from lllov. What is prob of sequence oo? 0 Two letters picked without replacement from {w: 1, z: 1, p: 1, n: 1, c: 1}. What is prob of sequence pc? 1/20 Three letters picked without replacement from kqkkppkqk. Give prob of sequence pkq. 5/126 Two letters picked without replacement from bbppbppppppppppbbppp. Give prob of sequence bb. 1/19 Three letters picked without replacement from {k: 1, g: 4, c: 4, e: 7, d: 1, m: 2}. Give prob of sequence mgd. 4/2907 Three letters picked without replacement from {h: 2, i: 5}. Give prob of sequence hih. 1/21 Calculate prob of sequence el when two letters picked without replacement from deflfefeee. 1/18 Three letters picked without replacement from zpmezzzez. Give prob of sequence mep. 1/252 Four letters picked without replacement from nbjbnk. Give prob of sequence jbbn. 1/90 Two letters picked without replacement from eeeesggelsle. Give prob of sequence sl. 1/33 What is prob of sequence elel when four letters picked without replacement from cuelv? 0 Calculate prob of sequence xs when two letters pick
{ "pile_set_name": "DM Mathematics" }
)/2 + -2. Suppose -15 = -5*u, h*n - 2*u - u - 15 = 0. Let p(r) = r**2 - 5*r + 3. Let l be p(5). Solve -l*f - 6 = n for f. -4 Suppose -4*c + 11 + 9 = 0. Let p be 9/6 + 1/(-2). Solve -p + c = b for b. 4 Let j(m) = 7*m + 2. Let f(l) = 20*l + 7. Let s(r) = 6*f(r) - 17*j(r). Let g(q) = q**3 - 4*q**2 + 3*q - 6. Let z be g(3). Let o be s(z). Solve -5 = -u - o for u. 3 Let g(y) = -y**2 + 6*y + 9. Let m be g(7). Let f = 4 - 2. Suppose -f*o + a + 0*a = -1, -o - a = 1. Solve o = 5*i - m*i + 6 for i. -2 Let j = 3 + -1. Suppose 3*i + 3*c - 6 = 0, j*c = -i + 5*c + 2. Solve 3*m = -1 - i for m. -1 Suppose -4*u = 2*j - 0*j + 4, -5*j - 5*u = 0. Suppose w - j = 4*c - 2*c, -5*w = 5*c - 10. Suppose -2*d = w*d. Solve -t + d + 4 = 0 for t. 4 Let w = -69 + 72. Solve -1 = m + w for m. -4 Suppose 0 = 3*o + p + 1 - 2, 2*p + 7 = 3*o. Solve v - o = 1 for v. 2 Let s = -9 + 21. Solve 2*x = s - 2 for x. 5 Let b be 18/(-12)*2*-1. Suppose -f + 19 = b*r, -2*f = -2*r - 4 + 6. Solve -f*g - 7 - 9 = 0 for g. -4 Suppose -3*y + 4*y = -3*r + 9, 3*y - 3*r = 15. Suppose 10 = -4*c - 2. Let f be 0*c/y*2. Solve f - 6 = -3*k for k. 2 Let l(p) = p**2 - 3*p + 1. Let k be l(2). Let i = k + 4. Solve o - i = 4*o for o. -1 Let a(h) = h**2 - 5*h - 10. Let m be a(7). Let n = 3 + -3. Suppose -2*z + 4*z - m = n. Solve 4*k + z = -2 for k. -1 Let m be (2/(-3) - 45/(-27)) + 3. Solve 0 = -m*v + 8*v - 16 for v. 4 Let d(z) = -z**2 + 3*z + 1. Let s be d(2). Suppose 0*q = -5*q, a - 5*q = 10. Suppose -y - r = 3*r - a, -3*y + 2 = -2*r. Solve 3 = -y*h + s*h for h. 3 Suppose 0 = -3*n + 29 - 5. Let v = n + -5. Let l be 1/(-4) + (-1)/(-4). Solve v*c + c + 16 = l for c. -4 Let f = 5 - 1. Let p(s) = 2 + 4 + 0 - 11*s**2 + 9*s + 3*s**2 + s**3. Let o be p(7). Solve -f*b = -4 + o for b. -4 Let d(k) = -9*k - 1. Let u(b) = -b**3 - 3*b**2 + 3*b + 3. Let h be u(-4). Let r(x) = 4*x. Let f(g) = h*r(g) + 3*d(g). Let a be f(4). Solve 4 = -5*s - a for s. -1 Suppose 6*x = 9*x - 12. Solve x*w = 5 + 3 for w. 2 Suppose 4*d - 18 = -2*q + 4, -4*q + 24 = -2*d. Let f = -6 + q. Solve -2 = s + f for s. -3 Let c be (1/(-1))/((-7)/14). Solve -w = -2*w - c for w. -2 Let t(r) = -1 + 2*r - r - 2. Let b(z) = z + 1. Let l be b(5). Let q be t(l). Solve 0 = -o + 2 + q for o. 5 Let a(x) = x**2 - 7 - 9*x + 3 - 4. Let u(l) = -l - 1. Let i(y) = a(y) - 4*u(y). Let q be i(6). Solve q*k + 2 = 10 for k. 4 Let l be (-4)/(-22) - 212/(-44). Solve 0 = n - l*n + 20 for n. 5 Let s = 149 - 144. Solve 2 = -s*t - 13 for t. -3 Suppose -95 = 4*p - 23*p. Solve 22 = -p*x - 3 for x. -5 Let k = -13 + 13. Solve -2*w + w = k for w. 0 Let f(s) be the first derivative of s**2/2 - 2*s - 4. Let l be f(2). Solve l = -3*o - 3 - 6 for o. -3 Suppose -3 - 42 = -5*t. Let i = t - 5. Suppose -4*h = -i*b + 148, b + 3*h = -2*h + 37. Solve 12 = -5*g + b for g. 5 Suppose 40*g = 38*g + 4. Solve g*z - 4 = 2 for z. 3 Let n(j) = 2*j**2 + 19*j - 1. Let z be n(-10). Solve -z - 1 = 5*v for v. -2 Let v = 0 - -2. Suppose k - v*k = -6. Let g(b) = b - 3. Let l be g(6). Solve -l*c + 0*c = k for c. -2 Let v(f) = 2*f. Let k be v(5). Solve o + k = -4*o for o. -2 Suppose -2*o + 20 = 2*o. Solve -25 + o = 5*a for a. -4 Let g(w) = -w**2 - 6*w - 2. Let d = -23 + 18. Let b be g(d). Solve b = 3*k - 6 for k. 3 Let q(b) = b**3 + 3*b**2 + 2*b. Let y be q(-2). Suppose -l + i + 4 = y, 0 = -l + 2*l - 5*i - 8. Solve -5 - l = 2*o for o. -4 Let f = -60 + 64. Solve z = 9 - f for z. 5 Let a be -1 + (2 - 1) + 0. Let x = a + 2. Suppose -h + 2*h - x = 0. Solve -l = -h*l for l. 0 Let z be (-4)/6*-6 + 5 + -4. Solve -z*v + 4*v = 3 for v. -3 Let y be 2*((-2)/4 - -2). Let x(i) = 2*i. Let u be x(y). Solve 3 = -w + u for w. 3 Suppose 0 = -x + 2. Suppose -5*w = x*a - 47, 0 = a - 0*a + 4*w - 28. Suppose 22 = 5*g - 3*u, -4*g + 3*u + u = -a. Solve y - g*y = 0 for y. 0 Suppose 0*w = 3*w - 12. Solve 0*q = -2*q - w for q. -2 Suppose -5 = -3*d + 16. Solve 3*a - 1 + d = 0 for a. -2 Let k(x) = -x - 6. Let t be k(-8). Solve -2*w + t = -2 for w. 2 Suppose w - 3*w = -8. Suppose -f + 4*p - 138 = w*f, 0 = -2*f + p - 57. Let h be (2/5)/((-2)/f). Solve -h*i + 3 = -3*i for i. 1 Let p(m) = m + 8. Let k be p(-6). Let y(c) = c**3 - 3*c**2 + 4. Let w be y(3). Solve -w*x = -k*x + 8 for x. -4 Let f(l) = l**2 - 1. Let v = -8 - -7. Let x be f(v). Solve 2*g + 2 + 0 = x for g. -1 Let i(c) = -c**3 - 7*c**2 + 9*c + 9. Let f be i(-8). Let q be 0/(f/(-1) - -3). Solve -1 = -q*w + w for w. -1 Suppose -b = -3*i, 0*b + 4 = b - 2*i. Suppose 9*d - 6*d = b. Solve -d*s = s for s. 0 Let x = 18 + -25. Let i(l) = l**2 + 8*l + 7. Let c be i(x). Solve c*f = 5*f for f. 0 Let q = -66 - -66. Solve -9 = -3*y - q for y. 3 Suppose 0 = -4*w - z + 21, -6*w = -5*w - 4*z - 1. Solve -w*l = -10*l for l. 0 Let w be (-4 + 34)*-1*(-1)/2. Solve 0 = 4*u + u + w for u. -3 Suppose -5*a + 6 + 4 = 0. Suppose 2*b - 10 = 0, d + b - 5 = 4*d. Solve d = a*q + 2*q for q. 0 Suppose 0 = 3*a + 3*a - 6. Solve 2*w - 7 = a for w. 4 Suppose 15 = -5*h - 5*r, r = 4*r + 9. Suppose h*t = -t. Suppose t = -n + 4*b + 19, 7*b + 15 = 2*b. Solve -3 = -4*k - n for k. -1 Let w = -3 + 13. Let i be w*(-9)/(-6) - 0. Suppose 5*t = 5*z - i, 3*z - 9 = -0*t + 2*t. Solve z*x = -x for x. 0 Let z(a) = a**3 - 6*a**2 - 6*a - 5. Let p = -3 + 10. Let x be z(p). Suppose -3*k = -x*k - 2. Solve -3*q - k*q = 5 for q. -1 Let p be 2 + 2*9/6. Let n = -3 + p. Let k = 2 - 0. Solve -k*o + n = -0 for o. 1 Let v be 1*2 + (-4)/2. Let g be v + -1 + (4 - -2). Suppose 2*r = -m - 3, 2*m + 30 = g*r - 3*m. Solve r + 5 = 2*s for s. 3 Suppose -3*c - 47 = -4*z, -3*z - 3 = 3*c - 12. Solve 4*j + z + 0 = 0 for j. -2 Suppose 0 = -n - 4 - 4. Let i be 2/n - 26/(-8). Let h be (2/((-2)/(-3)))/(6/4). Solve -h*w = i*w for w. 0 Suppose 5*g + 38 = 3*g. Let n = g + 12. Let k = -4 - n. Solve -k*o = -2*o - 2 for o. 2 Let y(v) = -v + 11. Let m be y(8). Let w(k) = 4*k. Let l be w(m). Solve -5*b = -l - 3 for b. 3 Let l(n) = n**2 - 18*n + 36. Let x be l(16). Solve 0 = -3*f + x*f + 1 for f. -1 Let p be 4/(-18) + (-5)/((-180)/8). Solve -5*w = -p - 5 for w. 1 Suppose -2*b = -5*b. Suppose b = 6*n - 5*n - 6. Solve 3 - n = -3*a for a. 1 Suppose 0 = -2*o + 2*a + 14, -o - 4*o - 4*a = 1. Let n(q) = q + 8. Let j be n(-6). Solve o = j*h + 1 for h. 1 Let k(s) = -s**3 - 9*s**2 - 10*s + 4. Let a be k(-8). Suppose -y = -2*d + 7, 4*d - 8 = -5*y - 1. Suppose d*l = -l + a. Solve 3 = -l*n - 12 for n. -3 Suppose 0*p + 28 = 4*p. Solve -p = -2*v + 1 for v. 4 Suppose 4*h - 18 = 2. Solve 0 = k + 4*k + h for k. -1 Suppose 0*o + 3*o + 4*n - 44 = 0, -5*o + 3*n + 25 = 0. Solve 2*i + 2 = o for i. 3 Let b = 17 - 10. Suppose 0*w + 6 = 5*h + 2*w, -5*w - 10 = 0. Solve -3*q = b + h for q. -3 Let c = 1 + 1. Let t be (-3)/(-4)*24/c. Solve -1 = -4*p - t for p. -2 Let p be 10/(-40) - 102/8. Let r = p - -15. Solve -r*j + 5*j - 9 = 0 for j. 3 Suppose 13 = 2*s - 9. Solve 20 = 7*r - s*r for r. -5 Suppose 0 = -0*t - 3*t + 12. Suppose t*q = 3*w - 32, 3*w + 2 = w - 2*q. Solve -5 = -y - w for y. 1 Suppose -2 = i - 5. Let s(a) = 2*a + 2. Let q be s(i). Solve -q = -k + 5*k for k. -2 Let m(f) = -2*f + 18. Let q be m(8). Solve q*g + 0*g = -4 for g. -2 Let u be 1/3 - (-15)/9. Let q = 4 + -6. Let z be q/(-5)*u*15. Solve -z = -6*j + 3*j for j. 4 Let h be (-1)/(-2) - 5/(-10). Suppose 1 = u - h. Solve -u*k + 4*k = -8 for k. -4 Suppose -4*u = -9*u - 40. Let z = -8 - u. Solve z - 2 = -l for l. 2 Let h(t) = t - 12. Let n be h(14). Solve -18 = -5*s + n for s. 4 Let c be -1*(-3 - (-2 - 2)). Let a be 0 + 3 + c - 4. Let k = a - -4. Solve k*x = 9 + 1 for x. 5 Let g be (-2 - (-21)/12)*-8. Let u be -3*(3 - 2 - g). Solve -u*o = o - 4 for o. 1 Let n(b) = 32*b**2 + b - 1. Let q be n(1). Let o = q - 22. Solve o = 2*x + 3*x for x. 2 Let s(i) = -i**2 - 11*i + 27. Let j be s(-13). Solve 5 = 3*d - j for d. 2 Suppose b - 4 = -5*q, 3*b + q = 6*q + 12. Solve -25 = b*c + c for c. -5 Let f(v) = -v**3 - 17*v**2 - 19*v - 33. Let l be f(-16). Solve -t - l = 2*t for t. -5 Let p = -16 + 20. Solve -a = p*a + 15 for a. -3 Suppose 0 = 5*j + 2*m, j + 3*j = -2*m. Let d(b) = b**3 - 10*b**2 - b + 13. Let f be d(10). Let u = 0 + f. Solve j*y - 15 = u*y for y. -5 Suppose 0 = 6*t - 4*t - 4. Let y(l) = l**3 + 3*l**2 - 6*l - 4. Let z be y(-4). Solve -z*m = -t*m for m. 0 Suppose p + j = -1 - 0, 5*p = 2*j + 30. Let c be (7 - p) + (-2 - 1). Solve -3*m - 3 = -c*m f
{ "pile_set_name": "DM Mathematics" }
me factors of 970428413. 983, 987211 What are the prime factors of 948137472? 2, 3, 205759 What are the prime factors of 1334173455? 3, 5, 313, 94723 List the prime factors of 608420311. 23, 47, 562831 What are the prime factors of 83160724? 2, 31, 73, 9187 List the prime factors of 73314827. 3137, 23371 List the prime factors of 55101176. 2, 13, 529819 List the prime factors of 17361199. 17, 239, 4273 List the prime factors of 42520170. 2, 3, 5, 7, 11, 79, 233 List the prime factors of 3248815604. 2, 23021, 35281 What are the prime factors of 17323863? 3, 1231, 4691 List the prime factors of 1313919208. 2, 7, 23462843 List the prime factors of 17343917. 17343917 List the prime factors of 4517698163. 11, 137, 587, 5107 List the prime factors of 2348145634. 2, 43, 491, 55609 What are the prime factors of 8514979505? 5, 13367, 127403 List the prime factors of 4506016443. 3, 25373, 59197 List the prime factors of 142164158. 2, 59, 1204781 What are the prime factors of 3491826578? 2, 1745913289 What are the prime factors of 31774531? 31774531 What are the prime factors of 739013873? 13, 19, 29, 103171 What are the prime factors of 795273777? 3, 43, 2054971 What are the prime factors of 80529569? 739, 108971 What are the prime factors of 5984789115? 3, 5, 151, 2642291 List the prime factors of 453837558. 2, 3, 59, 223, 5749 List the prime factors of 102016719. 3, 7, 19, 28409 List the prime factors of 250313292. 2, 3, 6953147 What are the prime factors of 699114564? 2, 3, 71, 30391 What are the prime factors of 523305601? 7, 13, 547, 10513 What are the prime factors of 209004421? 29, 7207049 What are the prime factors of 75236933? 23, 29, 112799 What are the prime factors of 80266615? 5, 11, 13, 112261 List the prime factors of 49703851. 23, 449, 4813 List the prime factors of 954559656. 2, 3, 17, 779869 What are the prime factors of 89854022? 2, 44927011 List the prime factors of 3421844145. 3, 5, 101, 752881 What are the prime factors of 263866811? 13, 20297447 List the prime factors of 51684968. 2, 43, 150247 What are the prime factors of 600473479? 109, 5508931 List the prime factors of 22260108. 2, 3, 13, 31, 4603 List the prime factors of 142206307. 83, 1713329 List the prime factors of 1018520172. 2, 3, 61, 463807 List the prime factors of 3919112994. 2, 3, 61, 163, 179, 367 List the prime factors of 12997429. 181, 71809 List the prime factors of 3133530231. 3, 13, 6180533 What are the prime factors of 345683? 13, 26591 List the prime factors of 376813282. 2, 19, 9916139 List the prime factors of 60998859. 3, 2259217 What are the prime factors of 65144763? 3, 23, 4561 List the prime factors of 35306550. 2, 3, 5, 26153 What are the prime factors of 3060935009? 11, 31, 8976349 What are the prime factors of 9251659620? 2, 3, 5, 7, 116549 What are the prime factors of 19093757? 59, 323623 What are the prime factors of 406870493? 29, 47, 239, 1249 List the prime factors of 110730316. 2, 17, 1628387 List the prime factors of 2389520039. 2389520039 List the prime factors of 3960025365. 3, 5, 264001691 List the prime factors of 207416958. 2, 3, 7, 19, 61, 4261 List the prime factors of 137470978. 2, 68735489 List the prime factors of 102420428. 2, 11, 2327737 List the prime factors of 173050360. 2, 5, 7, 12613 List the prime factors of 178752211. 11, 1477291 What are the prime factors of 470532087? 3, 47, 1112369 What are the prime factors of 1011832428? 2, 3, 84319369 What are the prime factors of 26709463? 11, 23, 193, 547 List the prime factors of 57788223. 3, 2753, 6997 What are the prime factors of 1590686298? 2, 3, 457, 193373 What are the prime factors of 819763? 7, 117109 List the prime factors of 280298851. 7, 157, 255049 What are the prime factors of 71266772? 2, 17816693 What are the prime factors of 304807450? 2, 5, 17, 358597 List the prime factors of 236921742. 2, 3, 13162319 List the prime factors of 123164360. 2, 5, 11, 279919 What are the prime factors of 4501409074? 2, 23, 73, 563, 2381 What are the prime factors of 648632336? 2, 11, 19, 47, 4127 List the prime factors of 3535916429. 3535916429 What are the prime factors of 8305043? 97, 85619 What are the prime factors of 5143859269? 17, 97, 281, 653 List the prime factors of 161869545. 3, 5, 853, 4217 What are the prime factors of 115448438? 2, 7, 223, 36979 What are the prime factors of 1954673012? 2, 488668253 What are the prime factors of 1593942933? 3, 11, 17, 163, 17431 What are the prime factors of 796853875? 5, 6374831 List the prime factors of 27131990. 2, 5, 107, 25357 List the prime factors of 727970218. 2, 19, 61, 16529 List the prime factors of 49665936. 2, 3, 1034707 List the prime factors of 596591862. 2, 3, 103, 113, 8543 What are the prime factors of 2875317553? 97, 29642449 List the prime factors of 37956551. 3793, 10007 What are the prime factors of 1283370189? 3, 131, 3265573 What are the prime factors of 117246969? 3, 7, 37, 179, 281 What are the prime factors of 2092793034? 2, 3, 613, 569003 What are the prime factors of 283229902? 2, 709, 199739 What are the prime factors of 110600092? 2, 167, 165569 What are the prime factors of 66041218? 2, 71, 465079 List the prime factors of 1186958173. 17, 73, 79, 12107 What are the prime factors of 432365054? 2, 11, 37, 313, 1697 What are the prime factors of 386140156? 2, 47, 2053937 What are the prime factors of 78343404? 2, 3, 6528617 What are the prime factors of 1459162758? 2, 3, 2347, 103619 What are the prime factors of 1041991969? 1041991969 List the prime factors of 122925222. 2, 3, 7, 46457 What are the prime factors of 276144993? 3, 19, 31, 113, 461 List the prime factors of 2038483436. 2, 11, 47, 463, 2129 What are the prime factors of 39842131? 7, 1571, 3623 List the prime factors of 115808837. 6353, 18229 List the prime factors of 1737420416. 2, 67, 202591 What are the prime factors of 1275590472? 2, 3, 13, 4088431 List the prime factors of 1076832905. 5, 215366581 What are the prime factors of 1773791901? 3, 7, 23, 1224149 What are the prime factors of 84680571? 3, 28226857 What are the prime factors of 180582851? 83, 137, 15881 List the prime factors of 868296872. 2, 108537109 What are the prime factors of 62617878? 2, 3, 3478771 List the prime factors of 23780461. 197, 120713 List the prime factors of 347658390. 2, 3, 5, 19, 203309 List the prime factors of 4108333018. 2, 2683, 765623 What are the prime factors of 3357535029? 3, 1119178343 List the prime factors of 1039309211. 23, 45187357 What are the prime factors of 1262467760? 2, 5, 181, 87187 List the prime factors of 331196937. 3, 433, 254963 List the prime factors of 1022427915. 3, 5, 29, 2350409 What are the prime factors of 98796892? 2, 83, 297581 What are the prime factors of 148473764? 2, 37118441 List the prime factors of 248810942. 2, 124405471 List the prime factors of 186057326. 2, 7, 13, 59, 17327 What are the prime factors of 544437284? 2, 47, 2895943 List the prime factors of 104935200. 2, 3, 5, 23, 1901 What are the prime factors of 987689793? 3, 97, 3394123 List the prime factors of 362594500. 2, 5, 725189 List the prime factors of 8142238. 2, 13, 313163 What are the prime factors of 198872754? 2, 3, 3671, 9029 What are the prime factors of 3669477066? 2, 3, 22651093 List the prime factors of 449847416. 2, 56230927 List the prime factors of 500837278. 2, 2447, 102337 List the prime factors of 2460768541. 7, 11, 409, 78137 What are the prime factors of 107312200? 2, 5, 536561 List the prime factors of 172126191. 3, 57375397 List the prime factors of 3252665383. 11, 43, 1483, 4637 List the prime factors of 53292169. 7, 19, 29, 41, 337 What are the prime factors of 1399953446? 2, 41, 89, 191827 List the prime factors of 203803550. 2, 5, 53, 76907 What are the prime factors of 483037968? 2, 3, 7, 1437613 List the prime factors of 2876983311. 3, 59, 16254143 List the prime factors of 1560024977. 7, 222860711 What are the prime factors of 7491064094? 2, 13249, 282703 What are the prime factors of 41805522? 2, 3, 11, 199, 1061 What are the prime factors of 1647706245? 3, 5, 109847083 List the prime factors of 109925717. 11, 23, 39499 What are the prime factors of 796821052? 2, 29, 937, 7331 What are the prime factors of 1609287857? 43,
{ "pile_set_name": "DM Mathematics" }
o letters picked without replacement from sssmmssmmm? 5/9 What is prob of picking 1 k and 2 q when three letters picked without replacement from {q: 5, b: 2, k: 3}? 1/4 Three letters picked without replacement from {r: 3, l: 1}. Give prob of picking 3 r. 1/4 What is prob of picking 1 i and 1 x when two letters picked without replacement from jijlddxdd? 1/36 Two letters picked without replacement from cwyyce. What is prob of picking 1 e and 1 c? 2/15 Two letters picked without replacement from akspap. What is prob of picking 1 p and 1 k? 2/15 What is prob of picking 1 q and 3 k when four letters picked without replacement from {q: 4, k: 15}? 455/969 What is prob of picking 2 b when two letters picked without replacement from qbklknwbblqlq? 1/26 What is prob of picking 2 g and 1 r when three letters picked without replacement from {g: 3, l: 1, r: 1, x: 2, f: 1, j: 4}? 3/220 Four letters picked without replacement from {c: 2, k: 10, a: 2, m: 4, j: 1}. Give prob of picking 2 c, 1 a, and 1 m. 2/969 Calculate prob of picking 2 o and 1 w when three letters picked without replacement from owoooow. 4/7 Calculate prob of picking 2 n and 2 y when four letters picked without replacement from {q: 2, n: 5, y: 9, u: 3}. 30/323 Calculate prob of picking 1 h and 3 z when four letters picked without replacement from {h: 7, z: 5}. 14/99 What is prob of picking 3 c when three letters picked without replacement from {c: 7, m: 4}? 7/33 What is prob of picking 1 y and 1 z when two letters picked without replacement from yzryv? 1/5 Three letters picked without replacement from {j: 1, f: 6, y: 1, t: 1, w: 6, h: 5}. What is prob of picking 1 j, 1 f, and 1 h? 1/38 Four letters picked without replacement from {r: 1, q: 1, x: 4, c: 7}. What is prob of picking 2 c, 1 x, and 1 q? 84/715 Calculate prob of picking 3 n when three letters picked without replacement from nnnnnnnnnqnqqnn. 44/91 Two letters picked without replacement from {c: 1, b: 2, w: 1, l: 1, i: 2}. What is prob of picking 2 b? 1/21 What is prob of picking 3 s when three letters picked without replacement from shsssxshixsx? 1/11 Calculate prob of picking 1 b and 2 d when three letters picked without replacement from ddbddbdbdddddb. 45/91 Four letters picked without replacement from qsvvqqsswwsssqsws. What is prob of picking 2 s and 2 v? 1/85 What is prob of picking 1 n and 1 b when two letters picked without replacement from bbnb? 1/2 Three letters picked without replacement from xxxlxptlppixpxx. What is prob of picking 1 l and 2 x? 6/65 What is prob of picking 1 b and 3 z when four letters picked without replacement from zzepbkzz? 2/35 Calculate prob of picking 3 z when three letters picked without replacement from {i: 2, u: 7, z: 7}. 1/16 Two letters picked without replacement from {e: 2, l: 1, d: 1, x: 2}. What is prob of picking 2 d? 0 Calculate prob of picking 1 c, 1 b, and 1 l when three letters picked without replacement from {g: 5, c: 3, p: 1, i: 8, l: 2, b: 1}. 1/190 Two letters picked without replacement from {z: 7, m: 1, i: 6, s: 1}. Give prob of picking 1 z and 1 s. 1/15 Calculate prob of picking 2 o when two letters picked without replacement from {d: 2, o: 2, r: 9}. 1/78 Four letters picked without replacement from blllbllllll. Give prob of picking 4 l. 21/55 Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, w: 1, q: 1}. 1/6 What is prob of picking 2 d and 1 b when three letters picked without replacement from ddbbbbbbbbbd? 27/220 What is prob of picking 1 n and 3 i when four letters picked without replacement from qiiqllfliiliullnniuu? 8/969 Calculate prob of picking 3 g and 1 p when four letters picked without replacement from {p: 1, i: 2, b: 1, g: 3}. 1/35 Two letters picked without replacement from eeeeeeeee. Give prob of picking 2 e. 1 Four letters picked without replacement from {o: 1, s: 2, f: 6, g: 3, u: 2}. What is prob of picking 2 f and 2 g? 45/1001 What is prob of picking 4 o when four letters picked without replacement from aaoaoaaaoaoaoaooaaa? 35/3876 Calculate prob of picking 2 i and 2 k when four letters picked without replacement from {k: 3, p: 1, i: 3, y: 4}. 3/110 Calculate prob of picking 3 j when three letters picked without replacement from {j: 7}. 1 Calculate prob of picking 1 r, 1 n, and 1 q when three letters picked without replacement from {d: 2, q: 1, n: 1, f: 2, r: 2}. 1/28 What is prob of picking 1 i and 1 p when two letters picked without replacement from {i: 2, p: 4}? 8/15 Three letters picked without replacement from {g: 1, f: 11, w: 5}. What is prob of picking 1 g and 2 w? 1/68 Three letters picked without replacement from ybmbxbmkb. Give prob of picking 1 k and 2 m. 1/84 Three letters picked without replacement from {q: 1, m: 3, r: 3, j: 3, x: 3, l: 7}. Give prob of picking 1 q and 2 j. 1/380 Three letters picked without replacement from {k: 2, b: 5}. Give prob of picking 2 b and 1 k. 4/7 Three letters picked without replacement from onfogjjhhononnjnfnh. Give prob of picking 1 n, 1 g, and 1 o. 8/323 What is prob of picking 1 l and 3 f when four letters picked without replacement from fqflfir? 1/35 Two letters picked without replacement from {w: 3, y: 4, v: 6}. What is prob of picking 1 w and 1 v? 3/13 What is prob of picking 1 v and 2 j when three letters picked without replacement from tvtjwwxqwjxww? 1/286 Three letters picked without replacement from {g: 7, k: 5, c: 1}. What is prob of picking 1 k and 2 g? 105/286 What is prob of picking 1 f, 2 e, and 1 d when four letters picked without replacement from {e: 3, w: 4, f: 2, q: 1, d: 1}? 1/55 Calculate prob of picking 2 d when two letters picked without replacement from {x: 4, d: 2, w: 1, g: 4}. 1/55 What is prob of picking 4 k when four letters picked without replacement from {k: 15, m: 4}? 455/1292 Three letters picked without replacement from {h: 11, w: 1, d: 5}. What is prob of picking 1 h, 1 w, and 1 d? 11/136 Calculate prob of picking 2 n, 1 g, and 1 p when four letters picked without replacement from ugnuqggyyqqunp. 3/1001 Three letters picked without replacement from {y: 7, b: 1, g: 3, e: 6}. Give prob of picking 1 g, 1 b, and 1 e. 9/340 What is prob of picking 4 z when four letters picked without replacement from {z: 5, s: 4, w: 6}? 1/273 Four letters picked without replacement from quuuuuuuuuuuuuquuu. Give prob of picking 4 u. 91/153 What is prob of picking 1 j and 2 d when three letters picked without replacement from {d: 4, j: 15}? 30/323 Four letters picked without replacement from {z: 1, n: 1, b: 1, u: 5, k: 1, j: 3}. Give prob of picking 3 j and 1 u. 1/99 Calculate prob of picking 1 z and 1 s when two letters picked without replacement from sskppszspsssszpxss. 20/153 Two letters picked without replacement from prlkhtt. Give prob of picking 1 l and 1 k. 1/21 Two letters picked without replacement from thccnnnpnh. What is prob of picking 1 p and 1 t? 1/45 Four letters picked without replacement from {b: 4, r: 8, n: 2}. What is prob of picking 1 n, 2 b, and 1 r? 96/1001 Four letters picked without replacement from ekkjejjkjej. Give prob of picking 1 j, 1 e, and 2 k. 3/22 Calculate prob of picking 1 r and 1 h when two letters picked without replacement from {h: 5, r: 3}. 15/28 What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 5, x: 2, c: 9}? 3/8 Two letters picked without replacement from {a: 1, v: 7, e: 1, q: 4}. What is prob of picking 1 v and 1 e? 7/78 Three letters picked without replacement from csfcfs. What is prob of picking 1 s and 2 f? 1/10 Calculate prob of picking 1 u, 1 l, and 1 b when three letters picked without replacement from {u: 3, d: 4, q: 1, l: 6, b: 2}. 9/140 Three letters picked without replacement from {x: 4, u: 1, t: 1, f: 1, h: 5, v: 1}. What is prob of picking 1 x and 2 v? 0 Calculate prob of picking 2 j when two letters picked without replacement from jjddjijqdjiqjqidi. 15/136 What is prob of picking 3 i when three letters picked without replacement from {i: 3, y: 5}? 1/56 Three letters picked without replacement from {j: 12, n: 3}. Give prob of picking 3 n. 1/455 Calculate prob of picking 3 a and 1 l when four letters picked without replacement from {a: 11, l: 3, m: 4}. 11/68 What is prob of pick
{ "pile_set_name": "DM Mathematics" }
. List the prime factors of o. 2, 3 Suppose -2 = -2*w + 4. Suppose 0 = -w*f - 5 + 14. List the prime factors of f. 3 Suppose -68 = -5*l + 62. List the prime factors of l. 2, 13 Let s(r) = -48*r - 4. Let z be (1/3)/(-1)*-9. Let w be s(z). List the prime factors of 4/(-18) - w/18. 2 Let a(s) = s**3 - s**2 + 36. What are the prime factors of a(0)? 2, 3 Let d(b) = 2*b**2 + 9*b + 12. List the prime factors of d(-6). 2, 3, 5 Suppose -5*t = w + 5, 5 = -4*t - t + 2*w. List the prime factors of 27/6*(-4)/t. 2, 3 Suppose 6 = -2*m, 4*z = -2*m + 6*m + 20. Suppose -5 + 3 = -d. Suppose 2*p = -d*y + 28, 0 = -y + z*p + 14 - 3. List the prime factors of y. 13 Suppose 0 = -2*g + 5*g - 66. Suppose -3*k - g = -73. What are the prime factors of k? 17 Let k(j) = -j**3 + 2*j + 1. Let x be k(-1). Suppose -94 = -6*s + 3*s - 2*r, 3*r = -5*s + 157. Suppose x = 5*z - z - s. What are the prime factors of z? 2 Let o(i) be the first derivative of 5*i**2 + 16*i + 2. Let f(u) = -7*u - 11. Let d(r) = 7*f(r) + 5*o(r). What are the prime factors of d(3)? 2, 3 Let u(t) = -t - 2. Let h be u(-9). Suppose 0 = -5*f - 5*c - 30, 0 = -4*c + 3*c - 2. Let k = f + h. List the prime factors of k. 3 Let s(z) = z - 1. Let u(x) = x. Let h(p) = s(p) - 6*u(p). Let n be h(-1). Let b = n + 7. List the prime factors of b. 11 Suppose 9*u - 526 = 4*u + 4*o, -2*u - o + 200 = 0. What are the prime factors of u? 2, 3, 17 Suppose -3*o - 12 = -6*o, 0 = -4*w + 2*o - 8. Suppose -m + 45 - 8 = w. What are the prime factors of m? 37 Suppose 2*g = 6*g - 196. What are the prime factors of g? 7 Let d(b) = -2*b**3 - 2*b - 1. Let q be d(-1). Let i = q - -2. Suppose -3*x = -5*x + 4, -i*v - x = -87. List the prime factors of v. 17 Let m = -2 - -2. Let d be m + (-1)/(1/2). Let g(h) = -h**3 - h - 1. What are the prime factors of g(d)? 3 Suppose -20 = -4*m + 2*f, 3*m - 4*m - 4*f - 4 = 0. Suppose -3*l = -10 + m. Suppose 3*u + l*u = 10. List the prime factors of u. 2 Let m(q) = 64*q**2 - 3*q - 2. What are the prime factors of m(-1)? 5, 13 Suppose -2*d - 2*d + 80 = 0. Suppose l = -4*l - d. Let s = l - -6. What are the prime factors of s? 2 Let r be 58/(-6) - (-4)/6. Let u = r + 14. Suppose 5*p + 14 = 3*j - 8, u*j - 3*p = 26. What are the prime factors of j? 2 What are the prime factors of (8/(-2))/2 + (16 - 0)? 2, 7 Suppose -16*h - 36 = -12*h. Let v(i) = 11*i**2 + 19*i - 32. Let p(b) = 7*b**2 + 13*b - 21. Let g(q) = -8*p(q) + 5*v(q). List the prime factors of g(h). 2 Let x = -2 - -1. List the prime factors of ((-26)/(-4) + x)*2. 11 Let y = -6 + 9. Let f(k) = -k**2 + 8*k - 4. Let o be f(y). Suppose 4*z - 13 = o. What are the prime factors of z? 2, 3 Let c(h) be the second derivative of h**5/60 - h**4/12 - h**3/3 + h. Let d(l) be the second derivative of c(l). What are the prime factors of d(7)? 2, 3 Suppose 2*a = -3*g - 5, 2*g + 2*a + 6 = -0*g. Let n be 2 + -2*g/1. Suppose 2*k - k - 11 = n. What are the prime factors of k? 11 Suppose 22 = n - 3*y, n - 27 = -0*n + 4*y. What are the prime factors of n? 7 Let v = 2 - 0. Suppose -2*t = -v*p - 3*p - 57, 2*p - 33 = -t. Suppose -3*u = 1 - t. What are the prime factors of u? 2, 5 Let h = 13 + -4. What are the prime factors of h? 3 Let g = 12 - 11. Let x = 18 + -6. Let k = g + x. List the prime factors of k. 13 Let f(x) = x**2 + 6*x + 8. Let c be f(-6). Let j(v) = 2*v - 4. List the prime factors of j(c). 2, 3 Let f(d) = d**2 - 5*d - 3. Let t be -3 + 6 + -3 - -30. Suppose -8*r - 3*b = -3*r - t, r + 3*b = 6. What are the prime factors of f(r)? 3 Let k(y) = -y**2 - 7*y - 6. Let r be k(-5). Suppose r*f = -3*w + 4*w - 16, -4 = f + 4*w. List the prime factors of 9 + 1 - f/2. 2, 3 Suppose 0 = g + 13 - 30. List the prime factors of g. 17 Suppose 38 = 3*a - 37. What are the prime factors of a? 5 Suppose 5*n - 13 = -2*j - 3, 5*n - 2*j = 10. List the prime factors of n. 2 Let x(h) = -2*h**3 - 2*h**2 - h - 3. Let i be x(-3). Let j = -25 + i. Suppose 0 = -4*w + 3*w - 2*a + j, 5*w + 5 = 5*a. What are the prime factors of w? 3 Let g(n) = -7*n**3 + 2*n**2 + 2*n + 1. Let i be g(-1). Suppose i*h - 65 = 3*h. List the prime factors of h. 13 Suppose 0 = l + 4 + 7. Suppose -f + 1 = -17. Let o = f + l. List the prime factors of o. 7 Let o(y) = -70*y + 21. What are the prime factors of o(-4)? 7, 43 Let b = -132 - -141. List the prime factors of b. 3 Let z(p) = -7*p**2 - 4*p - 3. Let u(w) = -w**2. Let r(k) = 5*u(k) - z(k). Let g be 0 + 1 - (5 + -1). List the prime factors of r(g). 3 Let f be 7/1 - 0/1. Suppose 10 = l - 4*c, -3*l - 10 = c - 1. Let m = l + f. What are the prime factors of m? 5 Suppose 0 = 5*d - 0*d - 5*w, 16 = 3*d + w. Suppose 3*a + 93 = d*b - 0*b, -5*a - 15 = 0. What are the prime factors of b? 3, 7 Let h(a) = -a**2 - 6*a - 4. Let z be h(-5). Suppose -5 - z = -2*v. What are the prime factors of v? 3 List the prime factors of 101 + 2/7 + 36/(-28). 2, 5 Let j(r) be the second derivative of -r**4/12 - 2*r**3 - 3*r**2/2 + 4*r. What are the prime factors of j(-10)? 17 Let t(w) = w**3 + 2*w**2 - 5*w - 4. Let k be t(-3). What are the prime factors of k*1/(-4)*-44? 2, 11 Let b = -209 + 350. Suppose -3*c + 5*y + 121 = -30, 3*y + b = 3*c. List the prime factors of c. 2, 3, 7 Suppose -2*d = 5*p + 62, 4*d + 0*d + 154 = 5*p. Let y = 2 + 1. What are the prime factors of 1 + d/(0 - y)? 13 Suppose -5*h + 328 = 3*h. What are the prime factors of h? 41 Suppose 5*s = -4*n + 6, 0 = -4*s - 0*s - n + 7. Suppose s*g = -0*g + 12. Suppose -v = 2*i - 25, -g*i + i - 4*v + 64 = 0. List the prime factors of i. 2, 3 Suppose 2 = -r - 0. What are the prime factors of (24/(-16))/(r/44)? 3, 11 Suppose -3 = -2*m + 25. Let b = m + -9. Suppose 0*a = a - b. List the prime factors of a. 5 Let y be (5 - 1)/(26/(-39)). Let b(m) = -3*m - 11. List the prime factors of b(y). 7 Let q be (3/(-2))/(6/(-16)). Suppose -q*z = -4*l + 20, -3*z - 5*l = -3*l - 10. Suppose 2*r - 6 = z, -2*r + 27 = 2*m - 5. List the prime factors of m. 13 Let o = -3 - -6. Let k = o - 0. List the prime factors of k. 3 Let i be 4/(-1) + (-2 - -3). Let v(j) = 2*j**2 + 4*j + 3. List the prime factors of v(i). 3 List the prime factors of (0 - 5)/((-7)/308*4). 5, 11 Suppose -t - 4*t = -60. Suppose k = -k + t. List the prime factors of k. 2, 3 Suppose 3*r = -4 + 22. What are the prime factors of r? 2, 3 List the prime factors of -4*((-55)/10 + 3)*9. 2, 3, 5 Let s(u) = -5*u - 44. List the prime factors of s(-13). 3, 7 Suppose 0 = 4*r + 7 - 35. What are the prime factors of (1 + (r - 0))/1? 2 Suppose 15 - 3 = -2*t. Let g(k) = 4*k**2 - 6*k - 15. Let r(d) = -5*d**2 + 7*d + 16. Let y(c) = t*g(c) - 5*r(c). List the prime factors of y(0). 2, 5 List the prime factors of (-10)/(-40) - 318/(-8). 2, 5 Suppose 0 = 3*i + 2*i + 2*o - 140, -i + 28 = 5*o. Suppose -4*x + i = -80. What are the prime factors of x? 3 What are the prime factors of 6*1*(-224)/(-24)? 2, 7 Let s = -256 - -554. What are the prime factors of s? 2, 149 Suppose 2*t - 4*z = 7*t + 36, 0 = -3*z + 3. Let v be 9/6*t/6. Let g = v - -5. List the prime factors of g. 3 Let i be (-58)/12 - 4/24. Let f = i + 8. List the prime factors of f. 3 Let r be (-6)/18 + 16/3. Let g(a) = 11*a**3 - a**2 + 1. Let l be g(1). Let x = l - r. What are the prime factors of x? 2, 3 Suppose -6*h + 949 = -359. What are the prime factors of h? 2, 109 Let v = 11 - 9. Suppose -3*o - v*i = -48, 2*o - 80 = -3*o - 2*i. What are the prime factors of o? 2 Let x(n) be the second derivative of -n**3/2 - 11*n**2/2 - 3*n. What are the prime factors of x(-9)? 2 Suppose -2*c = -h + 38, 3*h + 68 = -3*c - h. Let u be 4/(-6) + c/(-3). Suppose -a = 1 - u. What are the prime factors of a? 5 Let k(r) = -5*r + 4. Let y be k(-4). Let b = y - 12. List the prime factors of b. 2, 3 Let c = 28 + -16. Suppose 2*s + c = -0. List the prime factors of (-111)/s - (-1)/(-2). 2, 3 What are the prime factors of (-152)/5*40/(-16)? 2, 19 Suppose -3*p + 303 + 87 = 0. Suppose 0*n - 3*k = 5*n - p, -n - 2*k + 26 = 0. What are the prime factors of n? 2, 13 List the prime factors of 17 - (-1 - 0/2). 2, 3 Suppose s - 62 = -0*s. Suppose -2*c + 34 = -4*p, 3*c + 11 = -2*p + s. List the prime factors of c. 17 Let q be (48/(-30))/((-2)/190). Suppose 0*n + 4*n - q = 0. List the prime factors of n. 2, 19 Suppose -4*n - 4*y + 12 = 0, -4*n = n + 4*y - 12. Suppose n*t + 14 = t. What are the p
{ "pile_set_name": "DM Mathematics" }
What is the units digit of c? 2 Let p = 14 - 12. Suppose -p - 15 = -x. What is the tens digit of x? 1 Let k be (-4 + 4)*(-1)/(-2). Suppose 4*u - 2*u - 2 = k. What is the units digit of u? 1 Let h be 1 + (-1)/(-1)*12. Let c(q) = 7*q**2 - q**3 - h*q**2 - 1 + 3 - 6*q. What is the units digit of c(-5)? 7 Let d = 16 - -11. Suppose -5*s + 3*r = -2*s - 69, s - 5*r - d = 0. What is the units digit of s? 2 Suppose -2*c - 38 = -3*c + 4*p, -2*c + 5*p = -67. Let t = -23 + 28. Suppose -t*s = -c - 24. What is the units digit of s? 0 What is the units digit of 4/12*9/(-6)*-98? 9 Let f be 1*2 - ((4 - 8) + 9). Let m = 2 + -1. What is the tens digit of 147/9 + m/f? 1 Suppose 57 + 90 = 5*d + 4*o, -5*d = o - 153. What is the units digit of d? 1 Let c = 607 - 300. What is the hundreds digit of c? 3 Let o(v) = v**2 + 10. Let t be o(-7). Let j = t - 42. What is the tens digit of j? 1 Let r be 2/4 + 95/10. Let i = r + 8. What is the tens digit of i? 1 Let f(i) = -2*i**3 + 7*i**2 - 7. Let z(b) = 3*b**3 - 7*b**2 + b + 7. Let v(w) = 4*f(w) + 3*z(w). What is the tens digit of v(-6)? 1 Let s = -2 + -1. Let a be (s - 3/(-3)) + 12. Suppose -3*f + a = -f. What is the units digit of f? 5 Suppose -6*m = -15*m + 1044. What is the hundreds digit of m? 1 Suppose o - 9 = 5*k, -9 = 2*k - o + 6*o. Let c(s) = -s**3 - 2*s**2 - 3*s - 3. Let p be c(-2). Let t = k + p. What is the units digit of t? 1 Let c = -1 - 0. Let r be 9/(-6)*(-4)/2. What is the units digit of 0 + c + (17 - r)? 3 Let w = 8 - 3. Suppose -4*g + 3*z + 23 = 0, -w*g - 2 = -5*z - 32. Suppose v + 8 = 5*v + g*c, -c - 2 = -v. What is the units digit of v? 2 Let r(q) = 2*q**3 - 11*q**2 - 12*q + 24. What is the units digit of r(7)? 7 Suppose 0 = -2*f + f + 3. Suppose 2*y + 8 = 3*h, y - f*y + 4*h - 12 = 0. What is the units digit of y? 2 Suppose -n + 4*n + 3*w = 51, 0 = 2*n + w - 31. What is the units digit of n? 4 Let k(j) be the first derivative of -j**2/2 - j - 5. What is the units digit of k(-6)? 5 What is the tens digit of (4/(-12))/(1/(-36))? 1 Let b(i) = 4*i - 3. Let f be b(2). Suppose -f*d + 143 = 33. Suppose -4*s = q - 5*q + 24, -2*q = 3*s - d. What is the units digit of q? 8 Suppose -295 = -5*g - 5*a, 4*a + 134 = 3*g - 43. What is the units digit of g? 9 Suppose 0 = -4*x - 5*h + 193, 4*x - h + 3*h - 178 = 0. What is the units digit of x? 2 Let a(s) = 7*s. Let t be 5/(-2)*(-120)/50. What is the units digit of a(t)? 2 Let d(q) = 5*q**3 - q**2. Let x be d(1). Suppose 9*t - x*t = y + 18, 3*t = -3*y. Let g(s) = s**2 - 1. What is the units digit of g(t)? 8 Let j = 6 - 6. Suppose -4*i + 28 = -j*i. What is the units digit of i? 7 Let u(c) = 2*c**2 - 6*c + 7. What is the units digit of u(7)? 3 Suppose -b + 5*y + 39 = b, -b = y - 23. Suppose h - b = 22. What is the tens digit of h? 4 Let p = -23 - -60. What is the units digit of p? 7 Suppose 0 = -n - 2 - 0. Let y = -2 - n. Suppose q = -5*s + 45, -4*s - q + 37 = -y*s. What is the units digit of s? 8 Let o(u) = u**2 - 11*u - 4. Let a be o(10). Let x be (a/(-8))/(-1)*-8. What is the units digit of 74/x - 6/21? 5 Suppose 3*a - 24 = 5*i, -i - 3*i + 32 = 4*a. Suppose a = 5*y - y. What is the units digit of y? 2 What is the tens digit of 4/10 - 3223/(-55)? 5 Let a = -204 - -330. Let j = a - 194. What is the tens digit of 6/21 + j/(-7)? 1 Suppose -148 = -4*c + 4. Suppose -x = 2*k - c, -k - 100 = -3*x - 0*x. What is the tens digit of x? 3 Let y = 1 - -4. Let u(f) = -f**2 + 6*f + 5. What is the tens digit of u(y)? 1 Let u(v) = 3*v**2 - 4*v + 2. Suppose -3*t - 6 = -5*t. What is the tens digit of u(t)? 1 Let y = 1 - 1. Let d = -15 - y. What is the tens digit of (-215)/d - 1/3? 1 Suppose -4*r + 24 = -r + 3*c, 4*r - 24 = -2*c. Suppose 5*q - r = 1. What is the units digit of q? 1 Let k be 10/(-45) - (-86)/(-18). Let i = k - -6. Suppose -v + 0 = -i. What is the units digit of v? 1 Suppose 2*f = 7*f + 45. Let y be ((-6)/f)/(2/36). Suppose -c + y = -0*c. What is the tens digit of c? 1 Suppose 3*b - 50 = b. What is the units digit of b? 5 What is the tens digit of 40/(7 + -11 - (-60)/14)? 4 Suppose -3*p + 7 = u, -2*p = -6*p + 3*u + 31. Suppose -3 = 3*s + 3*c, -5*s + p*c + c = -35. What is the units digit of s? 3 Suppose -3*r - 10 = -2*z, -4*r - 11 = 3*z - 2*r. What is the units digit of -2 + (4 - -2) + z? 3 Let t be (-1 - -3)*(3 - 2). Let a(m) = 12*m**2 - m - 1. Let d be a(-1). Suppose -t*y + d = -2. What is the units digit of y? 7 Let x(t) = 5*t + 5. Let f be x(2). Suppose 5*n = -5 - f, -5*h + n + 194 = 0. What is the tens digit of h? 3 Let l(v) = v**3 - 7*v**2 - 6*v - 7. Let j be l(8). Let n(b) = b**2 - 5*b - 6. What is the units digit of n(j)? 0 Let r(t) = t**2 - 7*t - 6. What is the units digit of r(8)? 2 Let w(f) = -7*f**3 - 9*f**2 + 6*f - 5. Let h(l) = -l**3 - l**2 + l - 1. Let v(j) = -6*h(j) + w(j). Let d be v(-4). Let r = d - 10. What is the units digit of r? 7 Let m(i) = i + 8. Let j be m(-5). What is the tens digit of j/15 + 54/5? 1 Let d(a) = a**2 - 10*a - 1. Let y be d(10). Let i be y/((4/(-2))/26). Suppose -19 - i = -4*p. What is the units digit of p? 8 Let m be 1*(-1 + 5 + -3). Let g(l) = 35*l**3 - 1. What is the tens digit of g(m)? 3 Suppose 3*t - 3 = -2*v, -v + 2 = 4*t - 2. Let k = t + 15. What is the units digit of k? 6 Suppose -6 = -3*c + 6. Suppose -2*w - 14 = -c*w. Suppose 0 = -w*i + 4*i + 6. What is the units digit of i? 2 Suppose 4*w = -2*r - 2*r - 4, 0 = -2*r + w + 10. What is the units digit of r/2*(1 - -1)? 3 Suppose g = 5*u - 42, 0*u + 2*g - 28 = -4*u. Let f be (-1)/(-2)*(-3 - 1). What is the units digit of (-123)/(-12) + f/u? 0 Let u(i) = 8*i - 7. Let y be u(5). Suppose 5*w - 53 = t + y, -50 = -3*w + t. What is the tens digit of w? 1 Let s = -9 - -3. Let n(x) = 4*x**2 + x - 10. Let d(f) = 11*f**2 + 4*f - 29. Let z(l) = 3*d(l) - 8*n(l). What is the units digit of z(s)? 5 Suppose -2*c = -3*z + 4 + 19, 3*z - 11 = -c. What is the units digit of z? 5 Suppose p - 3*y - 6 = 0, -34 = -3*p + 2*y - y. Let q = p + -11. What is the units digit of q? 1 Let s(b) = -b**2 + 8*b - 8. Let t be s(6). Suppose -c - 2 = 4*k + t, -4*c = -5*k - 18. What is the units digit of c? 2 Suppose -3*v + 98 - 17 = 0. Let u = v + -12. What is the units digit of u? 5 Let h be (-2)/((-2)/(7 - 3)). Let p(s) = -s**3 + 6*s**2 - 5*s - 1. What is the tens digit of p(h)? 1 Let y = 54 - 32. Suppose -3*m = -z - 30 - 66, 5*m = -4*z + 160. Let d = m - y. What is the tens digit of d? 1 Let z be ((-9)/(-4))/(4/16). What is the tens digit of z/(-3)*17/(-3)? 1 Suppose 4*n - 2 = -k + 3, -4*n - 5*k = -9. What is the units digit of 1*(2 + 0)*n? 2 Suppose 0 = -4*m + m + 12. Suppose m = q - 37. What is the tens digit of q? 4 Let a = 20 + -6. What is the tens digit of a? 1 Suppose -2*d - 5*j + 7 = 0, 3*d - 5*d + 2*j = 28. Let q = d - -12. What is the units digit of q? 3 Let d(k) = 2*k**2 + 8*k + 4. Let y = 9 - 14. What is the tens digit of d(y)? 1 Let u be 3/6*2/1. Let i(s) = -s**2 + s. Let n be i(u). Suppose -36 = -4*d - 3*f, 0 = -2*d - n*d + 3*f. What is the units digit of d? 6 Let z(x) = -4*x**2 + 2*x**2 + 5*x + x**2. Suppose -20*l = -17*l - 12. What is the units digit of z(l)? 4 Let d be 1/(0 + (-1)/(-5)). Let h = d + -8. What is the units digit of (h/(-2))/(6/16)? 4 Suppose -38 + 2 = -3*p. Let w = 16 + p. What is the tens digit of w? 2 Let k = -178 - -363. Suppose 3*t - 8*t = -k. What is the units digit of t? 7 Suppose 0 = t - 2 + 1, -4*u + 3*t = 3. Suppose 5*k = -20, u*k + 16 = 4*p - 2*k. What is the units digit of 1/p - (-6)/4? 2 Suppose -w + 2*o - 27 = -2*w, -10 = 2*o. What is the tens digit of w? 3 What is the hundreds digit of -1 + (-15)/(-21) - (-7800)/56? 1 Suppose -x - x + 2 = 0. What is the units digit of x? 1 Let h = 3 + 2. Suppose -40 - 20 = -h*o. What is the tens digit of o? 1 Suppose 0 = -2*n - 2*n + 64. Suppose l - n = -5. Let p = l + -2. What is the units digit of p? 9 Suppose -4*y - 41 = -141. What is the units digit of y? 5 Suppose 0 = 3*u, 6*g - 5*u - 52 = 2*g. Let j(d) = 0*d**2 - 12 - d**2 + 15*d - 1. What is the units digit of j(g)? 3 Let a(l) = l - 2. Suppose 30 = 3*h + k, 2 = -h + 4*k - 1. What is the units digit of a(h)? 7 Let x = 16 + -26. Let r = x - -11. What is the units digit of r? 1 Suppose -4*t + 4*k = 3568 - 732, 3*t + 2125 = k. What is the units digit of t/(-28) - (-6)/(-21)? 5 Let
{ "pile_set_name": "DM Mathematics" }
)? -13/6 (3/(-18)*-9)/((-546)/56) -2/13 What is the value of 12*(14/35)/((-4)/10)? -12 Calculate (-160)/(-540)*(4/(-2))/((-32)/(-4)). -2/27 Evaluate (508/(-635))/((-8)/(-50)). -5 Evaluate ((-108)/405)/((8/6)/((-50)/315)). 2/63 What is 80/24*(-60)/20? -10 Calculate ((-2)/6)/(2472/172422*(-3)/4). 31 Calculate 2*(27/522)/((-18)/(-12)*-1). -2/29 Calculate -64*(-18)/1152*(-9)/1. -9 ((-6*(-3)/(-18))/2)/(3/(-24)) 4 Calculate (-732)/854*-28*21/(-14). -36 What is (((-5)/10)/1)/((-101)/3838)? 19 Evaluate 45/30*(32/40)/((-12)/(-70)). 7 4*-22*-4*9*(-15)/(-2970) 16 What is the value of (-2)/(150/(-5))*(-60)/36? -1/9 Calculate (295/(-590))/((-1)/(-6)). -3 Calculate (448/(-21))/(-16)*(-180)/48. -5 2*(-8)/(560/(-595)) 17 (570/(-255))/(71/(-1207)) 38 What is the value of ((288/(-40))/9*35)/2? -14 What is -5*12*(-9)/180? 3 Calculate 10/13*(-195)/(-1950). 1/13 What is -7*(-162)/(-252)*4? -18 Calculate (-5)/(-30)*((-80)/(-12))/5. 2/9 ((-2)/(-4)*-5)/(13*61/(-3172)) 10 What is the value of ((-30)/40)/((-1)/4)? 3 What is 88/(-308)*847/22? -11 What is the value of (7/(21/3))/(4/(-20))*3? -15 Calculate -3*(-33)/(1881/133). 7 What is ((4420/(-119))/(-52))/(2/42)? 15 (18/8)/(105/20*11/(-44)) -12/7 What is the value of 5*(-28)/(-875)*265/53? 4/5 What is (-5)/(70/7)*(-80)/(-4)? -10 Evaluate -13*(39/169)/(6/(-4)). 2 What is 4248/(-5310)*(-130)/(-4)? -26 Evaluate -24*(-40)/(-36)*(54/45)/2. -16 What is the value of ((-2)/(-4))/((-28)/(-336))? 6 Calculate 6*30/945*(-3)/2. -2/7 What is ((-2)/12*-4)/(278/834)? 2 What is the value of ((-1449)/(-207))/(35/(-155))? -31 What is the value of 9/22*(-202)/(-303)? 3/11 (-4)/30*(-375)/600*(-3)/(-2) 1/8 3/((-13)/390*9) -10 (-16)/350*(-900)/40*115/(-46) -18/7 Calculate (-46)/(-1265)*22/2*(-15)/(-27). 2/9 Evaluate (-15)/((-4)/28*-7). -15 (-1)/2*(1/(-4))/((-55)/1320) -3 Calculate ((-2)/(-7))/(54/(-21)). -1/9 What is (((-6)/(-18))/((-3)/18))/(5/(-15))? 6 Calculate ((-2)/146*2)/((-189)/(-189)). -2/73 8/((-4*(-6)/(-60))/((-32)/(-40))) -16 Evaluate (4/(-40)*6)/(2331/(-370)). 2/21 Evaluate (16/(-15232)*-68)/((-1)/(-4)). 2/7 What is (((-9)/4)/(6/(-16)))/((-1214)/2428)? -12 Evaluate ((72/(-48))/((9/(-4))/(-3)))/1. -2 What is (14750/(-75))/(-59)*(-9)/(-5)? 6 Evaluate ((-1866)/(-2799))/((-46)/3). -1/23 What is the value of (-1)/(1/(-5)*(3465/18)/(-11))? -2/7 Evaluate 65/6*54/1440*-8. -13/4 Calculate (1/(-20))/(-3*5/300). 1 Evaluate 8/((-240)/10)*27. -9 What is (23/(161/12))/((-40)/140)? -6 Evaluate ((-137)/((-11645)/102))/((-4)/1). -3/10 What is the value of (4/(-40))/(((-8)/((-144)/(-189)))/(-6))? -2/35 What is the value of ((40/35)/4)/((22/(-77))/(-2))? 2 What is the value of (((-400)/(-25))/48)/(4/300)? 25 (-3)/(-4)*(112/21)/8 1/2 What is 18/4*(-7638)/1809? -19 What is the value of 12*-7*13/(-1456)*(-4)/33? -1/11 -4*(-6)/(-480)*36/(-18) 1/10 What is the value of (16/14)/((80/28)/(-10))? -4 ((-224)/98)/8*4 -8/7 (-5)/((-25)/15)*350/75 14 What is the value of (-78)/728*2*2*(-7)/8? 3/8 What is the value of (-7*(-24)/448)/((-1)/2)? -3/4 What is the value of 120/(-16)*18*6/648? -5/4 2/(-1)*3*(-12)/72*17 17 Calculate (3/(-3)*1)/((-1)/((-4)/28)). -1/7 Evaluate 23/((-506)/(-33))*21/(-9). -7/2 26/24*(-5200)/6760 -5/6 Evaluate ((-44)/(-18))/(57/((-12312)/(-48))). 11 What is the value of (-3535)/202*(-32)/(-28)? -20 Evaluate (-7*(-24)/(-840))/((-2)/(-15)*-3). 1/2 (5*8/(-120)*-1)/((-4)/(-15)) 5/4 What is 10/(-35)*(-126)/(-72)? -1/2 What is the value of 7/(-343)*14*21/(-1)? 6 What is the value of 11*1/(-3)*-3? 11 Calculate (-2*(-6)/54*-48)/((-6)/(-9)). -16 What is the value of ((-164)/(-82))/((15/3)/(-55))? -22 What is the value of ((1925/105)/55)/((10/48)/(-5))? -8 What is the value of -30*((-1)/4)/((-25)/((-1600)/(-24)))? -20 What is the value of (1/10)/((-102)/13260)? -13 What is the value of ((-2345)/11725)/((-2)/(-60)*1*4)? -3/2 Evaluate (12/104)/(3/(-4)). -2/13 Evaluate (((-136)/(-85))/((-6)/15))/((-4)/6). 6 What is (-170)/(-8)*(-4)/20*232/58? -17 Evaluate (1/3)/((-100)/180). -3/5 Evaluate (3/(-16)*4)/(2*(-1)/4). 3/2 511/(-511)*-2*(-13)/2 -13 Calculate (1/4)/(14*1/(-12)). -3/14 (-42)/(-280)*(-16)/(-6)*10/(-2) -2 Evaluate 66*8/96*(-1)/((-2)/(-4)). -11 What is the value of (10/(-22))/((-300)/(-120))? -2/11 Evaluate (-948)/(-632)*(-3)/((-9)/38). 19 Calculate (((-6)/(-20))/((-1)/2))/(18139/16490). -6/11 What is the value of ((-3)/(-9))/((-6)/768*16)*3? -8 Calculate ((-11)/((-132)/128))/(6/(-9)). -16 Calculate 1/((-38*6/42)/((-8)/14)). 2/19 What is ((-16)/(-50))/((286/(-65))/11)? -4/5 What is the value of (-2)/(2/(13/78*150))? -25 Evaluate (1/2)/((2/(-2))/(518/185)). -7/5 ((-32)/((-1344)/189))/((-1)/(-2)) 9 What is the value of ((540/24)/45)/(6/10)? 5/6 Evaluate (-45)/(-144)*-4*1300/250. -13/2 What is ((-884)/1105)/(((-3)/(-18))/(3/(-9)))? 8/5 What is 7/(2184/(-780)*10/12)? -3 14*28/(-1078)*11 -4 Evaluate 5*(-72)/80*2. -9 Calculate (-30)/((-3)/(-15)*(-40)/(-4)). -15 What is (-1140)/(-120)*380/361? 10 Calculate (20/5)/2*7/(-2296)*-8. 2/41 Evaluate (0/2)/((304/19)/4). 0 What is ((-5130)/(-5415))/((-6)/76)? -12 What is the value of (42/28)/((-369)/4)*3? -2/41 Evaluate 8/(-420)*-1*(-1)/(6/(-30)). 2/21 Evaluate (-2)/(-1)*-2*(-3)/(-360)*10. -1/3 What is 90/(-12)*(-2884)/1545? 14 Evaluate (-154)/7*(-16)/128*2*-2. -11 3*((-8)/(-12))/((-20)/50) -5 Calculate (2/(-18))/(-12*(-252)/1296). -1/21 Evaluate (16/2)/((-13)/((-182)/(-28))). -4 ((-102)/(-136))/(15/40) 2 What is 30/4*(-166)/(-83)? 15 Calculate (-21)/(-322)*9/(-81)*12. -2/23 Evaluate 1020/1275*(-15)/(-21). 4/7 Calculate (2/(-3))/(88/(-1188))*(-2)/2. -9 (25/200)/((-11)/(-792)) 9 Evaluate 15*((-3)/(-2))/(590/(-708)). -27 Evaluate (-128)/(2560/(-180))*2*1/(-3). -6 Evaluate (-352)/(-22)*(-2)/1*(-8)/(-80). -16/5 Evaluate (480/72)/(16/(-72)*3). -10 What is 180/(-25)*(-30)/(-4)*7/21? -18 Evaluate ((-13)/(156/24))/((-10)/5). 1 What is 22/(-4)*1016/508? -11 What is the value of (53/(-265))/(22/(-60))? 6/11 Evaluate (10/(-15))/(-2)*18/(-48)*2. -1/4 Calculate (-3)/4*(-928)/18444. 2/53 What is 6/(-4)*(-804)/536? 9/4 ((-5)/((-20)/12))/(-13*3/(-143)) 11 What is the value of (((-8)/(16/5))/(-10))/((-13)/(-24))? 6/13 (16/((-224)/(-7)))/((-2)/56) -14 What is (-35)/266*8/10? -2/19 Calculate (11/44)/(((-117)/(-60))/((-24)/140)). -2/91 Calculate ((-2)/6)/((-6)/76*13034/(-4116)). -4/3 What is the value of ((-1064)/(-665))/((-4)/(-10))? 4 Evaluate (28*(-2)/70)/(-30). 2/75 Evaluate (171/(-1881))/(6/(-9)*2/(-4)). -3/11 What is (9*1/(-5))/(((-1092)/(-40))/13)? -6/7 What is (-3)/12*-2*(165/60)/(-11)? -1/8 What is the value of 1*(((-384)/120)/4)/((-26)/(-5))? -2/13 What is the value of (-12)/6*(-7)/(-98)? -1/7 Calculate ((-35)/(-105))/(3/153). 17 What is the value of 0/(35/((-455)/(-13)))? 0 Calculate 14/(-105)*84*30/(-21). 16 (270/40)/(-3)*10/(-15) 3/2 (8875/50)/71*6 15 Calculate (2*(-17)/(-18))/(((-51480)/810)/(-143)). 17/4 What is the value of ((-1)/1)/(117/(-520)*-10)? -4/9 What is 27/30*(35/90)/7? 1/20 What is ((-14)/56*-16)/(-4*228/8)? -2/57 What is ((-6)/(-4))/((-150)/40*4)? -1/10 Calculate -6*39/(-24)*400/(-300). -13 Evaluate (15/(4350/8))/((-22)/(-55)). 2/29 Evaluate (-69)/207*2/8*(-924)/(-7). -11 Evaluate ((-10)/(-6))/(((-21)/567)/(9/27)). -15 What is the value of 2856/9163*(-7)/(-4)? 6/11 What is ((((-330)/20)/11*-1)/3)/(-6)? -1/12 ((-6)/18)/((10/(-40))/(36/2)) 24 465/(-62)*70/(-15) 35 Evaluate 2*-2*(-80)/20. 16 Calculate 855/456*12/(-9). -5/2 What is (-183)/(-854)*(-98)/(-903)? 1/43 What is the value of -12*(-15)/(-9)*(-369)/(-820)? -9 Calculate 12/335*(-385)/(-462). 2/67 Evaluate (-11*(-46)/(-759))/((-4)/(-54)). -9 What is the value of (168/18)/(-28)*4/(-2)? 2/3 Calculate (-4)/(-20)*((-288)/18)/80. -1/25 What is the value of 2/(-6)*9/36*0? 0 What is the value of 3/(-4)*(-770)/44*(-32)/20? -21 6/6*(42/(-98))/3 -1/7 Evaluate 13/(-13)*4*3/(-66). 2/11 2*(-17)/((-1020)/24)*(-10)/88 -1/11 Evaluate (-2)/(-4)*(-598)/(-7774). 1/26 What is -3*(15/240*-8)/((-2)/(-4))? 3 ((-4)/68*5/(-5)*-1)/(-1) 1/17 Calculate 2*((-216)/(-176))/(-9)*-33. 9 Evaluate (((-2)/(-2))/(-6))/(-30*38/912). 2/15 What is 416/(-1638)*-21*(-15)/4? -20 Evaluate (16/(-24))/((4/6)/(60/4)). -15 Calculate ((-264)/252*6)/(22/(-77)). 22 1/(26/4*(-56)/(-84)) 3/13 What is (-10)/(-8)*(-1075)/(-5375)? 1/4 Evaluate ((40/7)/5)/(-4*(-2)/28). 4 Calculate (1/(-2)*2)/13. -1/13 Eva
{ "pile_set_name": "DM Mathematics" }
-u**2 + 0*u**2 - u**2)*(-3*u + 3*u + 2*u) - u**3 + 0*u + u - u**3. 12*u**3 + u Expand (0 - 1 - 1)*(-136 + 83 + 964)*(l - 4 + 4). -1822*l Expand (-8*r + 5*r - 8*r)*(-196 - 3 - 9). 2288*r Expand (-122 - 592 + 301)*(4 - 5 + 0*z + 3*z). -1239*z + 413 Expand -80*s**4 + 59*s**4 - 36*s**4 - 3*s + (-3*s**3 - 3*s**3 + 4*s**3)*(-3 + 3 + 2*s). -61*s**4 - 3*s Expand -3*i + 0*i + 5*i - 204*i + 126 + 205*i + 3 + (4*i - i - 4*i)*(0 + 0 - 1). 4*i + 129 Expand (0*j**2 - 3*j**2 + 5*j**2)*(174 + 69*j**2 + 18 - 190 + 904*j**2). 1946*j**4 + 4*j**2 Expand 3*a**2 + 2*a**2 - 3*a**2 + (-2 + 2 + a)*(-12*a + 20*a + 12*a). 22*a**2 Expand (-x**2 + x**2 - x**2)*(-x**2 - x**2 + 392*x - 360*x). 2*x**4 - 32*x**3 Expand (r**3 + r**2 - 4*r**2 + 5*r**2)*((0 - 1 + 3)*(2*r + 3*r - 3*r) - 3*r - r + 3*r - 3*r + 2*r + 0*r - 4*r - 8*r + 2 + 8*r). -2*r**4 - 2*r**3 + 4*r**2 Expand (-15*g**2 + 64 - 64)*(-19 - 14 - 2). 525*g**2 Expand -57968*r + 57968*r - 82*r**4 + r**5 + (0*r**3 + 2*r**4 + 0*r**3)*(-3*r + 5*r - 3*r). -r**5 - 82*r**4 Expand (-346 + 95 - 63 - 1113 - 841)*(1 + 2*w**3 - 1). -4536*w**3 Expand -7*v**3 - 28 + 28 + (-v + 2*v + 2*v)*(-2*v**2 + 4*v**2 + 0*v**2). -v**3 Expand (b - 3*b + 4*b)*(1 - 1 - 1 + (-2 + 1 + 3)*(-6 - 7 + 1))*(0*b**3 - 2*b**3 + b**3). 50*b**4 Expand (4*z**2 - 4*z**2 - 4*z**2 + (-7 + z + 7)*(-3*z + z + 3*z))*(2*z**3 + z**3 - 5*z**3). 6*z**5 Expand 0*p + 2*p - 3*p + 12 - 12 - 55*p + (3 + 0 - 2)*(3*p - p - 4*p). -58*p Expand (d - d - 2*d + (-3*d + 0*d + 4*d)*(-1 + 1 - 2) + 4*d - d - d)*(-68687*d + 68687*d + 99*d**2). -198*d**3 Expand (5*n - 3*n - 4*n)*(-62 + 39 - 70 + (-1 + 0 - 1)*(8 - 8 - 3)). 174*n Expand (-2 + 0 + 4)*(12 + 12*u + 10*u - 20*u). 4*u + 24 Expand (0*j + 4*j - j)*(2*j**2 + j + 14559 - 5*j - 14572). 6*j**3 - 12*j**2 - 39*j Expand (8*a**2 + 33*a**2 + 25*a**2)*(2*a + 2*a + a)*(0*a - 4*a + 2*a). -660*a**4 Expand (4 + 32 - 34 + 81*z**2)*(7 - 1 - 2). 324*z**2 + 8 Expand 3*i + 0*i - i + 0*i + 2*i - i + (-2 - 3 + 4)*(0*i + 2*i - 4*i) + 0*i + 0*i + 4*i. 9*i Expand -2*g**2 + 0*g**2 + 0*g**2 + (4 - 4 - g)*(3 - 2 - g - 3) - 14*g**2 + 16*g**2 + 14*g**2. 15*g**2 + 2*g Expand (-11 - 5 + 4)*((-3 + 2 - 2)*(-4*w + w + 4*w) - 5*w + 3*w + 0*w). 60*w Expand (0*a**4 + 2*a**5 + 0*a**4)*(-25497 + 50241 - 26037). -2586*a**5 Expand (-6 + 3 + 5)*(-96*i - 86*i + 2*i). -360*i Expand (9*b + 3*b - 2*b)*(-2 - 2 + 3)*(-1 - 4 + 4)*(1 - 1 + 2*b)*(-3 + 5 - 9). -140*b**2 Expand (112 - 84 + 27)*(n + 2*n - 2*n) + 0*n - 5*n + 2*n. 52*n Expand (0*w + 5*w - 3*w)*(-w + 2*w - 3*w)*(-w + 4*w + 4*w). -28*w**3 Expand 0*o - 17*o - 23*o - 1 + 1 - 2*o + (-3 + 3 + o)*(-3 + 5 + 0) - 4 + o + 4 + 0*o - o + 2*o. -38*o Expand v**2 + 1 - 1 + (3 - 3 + 3*v)*(v - 6*v + 2*v) + v**2 - 17*v + 17*v - v**2 - 2 + 2 + (2*v - v - 2*v)*(-2 - 2*v + 2) + 3*v**2 - 5*v**2 - v**2. -9*v**2 Expand 16 - 5 - 1993*s + 2000*s + (-17*s - 7*s + 17*s)*(-2 + 4 - 3)*(-2 + 3 + 0). 14*s + 11 Expand (2*t + 4*t - 4*t)*(61 - 13 + 64)*(0 + 2 - 1)*((5 - 4 + 3)*(-3 + 5 - 1) - 2 + 0 + 3). 1120*t Expand (3 + 7*r - 3)*(-373*r + 91*r + 59*r + 113*r). -770*r**2 Expand (-4 + k**5 + 4)*(0 + 2 - 4) - 3*k**5 + 2*k**5 - 2*k**5 + (-2 - 2*k**5 + 2)*(2 - 5 + 2) - k**5 + 0*k**5 + 3*k**5. -k**5 Expand (-4 + 4 + 1 + (0 - 4 + 2)*(-10 + 5 - 4))*(2*q**5 + 2*q**5 + q**5). 95*q**5 Expand ((-3*a + 0 + 0)*(4 + 5*a - 4)*(2*a - 2*a + 2*a**2) - 8*a**4 + 4*a**4 + 5*a**4)*(-5*a - a + 4*a). 58*a**5 Expand (-k + k - k - 2 + (-7*k + 2*k + 2*k)*(0 + 0 - 1))*((1 - 5 + 2)*(1 + 0 - 2) + 23 + 6 + 8). 78*k - 78 Expand (0 + 0 - k**2)*(-132*k**2 - 91*k**2 + 295*k**2). -72*k**4 Expand (-5*t**2 + 0*t**2 - t**2)*(-74*t - t**2 - 3 + 33*t + 38*t). 6*t**4 + 18*t**3 + 18*t**2 Expand (-9*k**2 - 10*k - 9*k**2 + 16*k**2)*(0 + 0 - k). 2*k**3 + 10*k**2 Expand -21*s**3 - 26*s**3 - 14*s**3 + 5*s - 3*s**3 - 5*s - 2*s**3 - 1 + 1 + (3 - 3 + 2*s)*(4 - 4 - 2*s**2) - s**3 - s**3 + 3*s**3 + 5*s**2 - 5*s**2 + 2*s**3. -67*s**3 Expand (4 - 5 + 3)*(-21 + 54 - 17)*(g**3 + 5*g**4 - g**3). 160*g**4 Expand ((1 - 3 + 0)*(-4*t + 4*t + t) - 7 + 7 - 7*t)*(-19*t**4 - 7*t**4 - 4*t**4). 270*t**5 Expand (-3*c**2 + 3*c**2 + 3*c**3)*(4*c**2 - 6 + 6) + 0*c**5 - 3*c**5 - 3*c**5. 6*c**5 Expand ((0 - 2 + 0)*(-1 - 3 + 2) - 3 - 1 + 2 - 15 - 21 - 4 + 1 - 1 + 2 + (-5 + 3 + 1)*(2 - 1 - 3))*(3*a**3 - 4*a**3 + 0*a**3) + 3*a**3 - 6*a**3 + 2*a**3. 33*a**3 Expand -5*r**2 - 3*r**2 + 2*r**2 + (r - 7*r + 3*r)*(2*r + 3 - 3) + (3*r - r - 3*r)*(-r + 3*r - r) - r**2 - 2*r**2 + r**2 - 7 + 7 - 9*r**2. -24*r**2 Expand (-290 - k**2 + 290 - 2*k + 109*k**3)*(-1 + 2 + 1). 218*k**3 - 2*k**2 - 4*k Expand (2*o**3 - 24*o**3 + 4*o**3)*(2*o**2 + 4*o**2 - 7*o**2) + 2*o**3 - 2*o**3 + 2*o**5 + (-2*o**3 + o**2 - o**2)*(0 + 0 + 2*o**2) - 9*o + 3*o**5 + 9*o. 19*o**5 Expand (0*j + 0*j - 2*j)*(j**4 + j**4 + 0*j**4) - 3*j**5 + 4*j**5 + 0*j**5 + (0 - 4*j + 0)*(-j**2 + j**2 + j**4). -7*j**5 Expand -i**2 + i**2 - 2*i**2 + (-3 - i + 3)*(3*i - 2*i + i) + 3*i**2 + 0*i**2 - 5*i**2 - 6*i**2 + 2*i**2 + 2*i**2 - 58*i**2 + 20*i - 36*i + 16*i. -66*i**2 Expand s + 0*s + 0*s + (-65 + 23 - 15)*(1 - 1 + 3*s) + (-6*s + 2*s + 3*s)*(0 - 3 + 5). -172*s Expand (0*l**4 + 4*l**4 - 2*l**4 + (-l + 5*l + 2*l)*(3*l**3 - 4*l**3 + 7*l**3))*(-9 + 14 + 10). 570*l**4 Expand (i - 4 + 4)*(4*i - i + 0*i) + i + i**2 - i - 5*i**2 - 10*i**2 + 2*i**2 - 2*i**2 + 4*i**2 - 4*i**2. -11*i**2 Expand (3*r**2 - r**2 + 0*r**2)*(-4*r**2 + 5*r**2 - 3*r**2) + 0*r**4 + 0*r**4 + r**4 - r**4 + 0 + 0 + (-r**3 + r**3 + r**3)*(-1971 - 27*r + 1971). -31*r**4 Expand (2*n - 2*n - 2*n**2)*((-n + 4*n - 2*n)*(2 + 2 - 1) + 4 - 4 + 2*n - n - 6*n - 7*n). 18*n**3 Expand (-2 - 3 + 3)*(452*u**3 + 4*u - 455*u**3 + 0 - 2 + 9*u**2). 6*u**3 - 18*u**2 - 8*u + 4 Expand (-d**3 + 3*d**3 - d**3)*(-d + 0 + 0) - 2238*d**4 + 4640*d**4 - 2211*d**4. 190*d**4 Expand 165*q - 155*q + 64*q + (-3 + 3 - q)*(4 - 4 + 1). 73*q Expand -3*g**5 + 12*g**5 + 30*g**5 + (-5*g**2 + 4*g**2 + 0*g**2)*(-2*g**3 + g**3 - g**3) + 0*g**5 + g**5 + g**5. 43*g**5 Expand (f**2 - 2*f**2 + 0*f**2)*(-2*f + 5*f - f)*(4*f**2 - f**2 - 4*f**2) + (9*f + 0*f + f)*(3*f + 2*f**4 - 3*f). 22*f**5 Expand (46*f - f**2 + 89*f - 45*f)*(-9*f**2 + 3*f**2 - 4*f**2 + f**2). 9*f**4 - 810*f**3 Expand -4*i**2 + 2*i**2 + 3*i**2 + (-3*i**2 + 14*i**2 + 0*i**2)*(-23 + 42 - 30). -120*i**2 Expand (-2*d**2 - 3*d**3 + 2*d**2 + (-238*d + 238*d + 33*d**2)*(-5*d + 4*d + 0*d))*(2*d**2 + 0*d + 0*d). -72*d**5 Expand ((-1 + 1 - 2)*(0 + 2 + 0) - 1 + 6 - 4)*(-21 + 20 + 51)*(-2*j + 7*j - 3*j). -300*j Expand (0 - 2*r + 0)*(5 + 13 - 8) + 4*r - 4*r - 2*r + r - 2*r + 3*r. -20*r Expand (w**3 - w**3 - 2*w**3)*(174*w**2 + 55*w**2 - 42*w**2 + 409*w**2). -1192*w**5 Expand i**3 + 3*i**3 - 5*i**3 + (-4*i + 3*i + 2*i)*(3*i**2 - i**2 - i**2) - i**3 - 6*i**3 + 3*i**3. -4*i**3 Expand ((-2*v + 2*v + 2*v**4)*(-1 + 5 - 1) - 4*v**4 - 4*v**4 - 3*v**4)*(-2*v - 2*v + 2*v). 10*v**5 Expand (58 - 58 - 9*n**2)*(3*n - n - n). -9*n**3 Expand (3*l - 139 + 139)*(64*l - 8*l + 34*l). 270*l**2 Expand 2*z + 2*z**3 - 2*z + (0*z**2 + 0*z**2 + 3*z**3 + (-3*z**2 + z**2 - z**2)*(z + 2*z - z))*(8 - 4 - 3). -z**3 Expand ((n + 0 + 0)*(2 - 1 - 2) - n - 6*n - 4*n)*(5 + 3 + 1). -108*n Expand 4*g**4 + 5*g**3 - 5*g**3 + (g**2 - 3*g**2 - g**2)*(2*g - g**2 - 2*g) + 2 - 2 - g**4 - 3*g + 2. 6*g**4 - 3*g + 2 Expand (-13 + 13 + 17*p)*(-2*p - 2 + 2)*(-2*p - 3*p + 7*p). -68*p**3 Expand (1 + 1 + 0)*(140*i - 6*i + 134*i + 198*i). 932*i Expand (-2*j + 3*j + 0*j**2 + 3*j**2)*((-4 - j + 4)*(-1 + 0 + 0) - 321*j + 344*j - 363*j). -1017*j**3 - 339*j**2 Expand (-284 - 40*j + 284 + (2 - 4 + 4)*(-1 + 1 + 2*j))*(-3*j**3 + 0*j**3 + 4*j**3). -36*j**4 Expand (-3*c + 5 + 14*c - 4)*(-62 - 30*c**4 + 62). -330*c**5 - 30*c**4 Expand -w - 366 + 366 + (-1 - 1 + 1)*(2*w + 1 - 1) - 92 + 24*w + 92. 21*w Expand (-2*u + 3*u - 2*u)*(-6743*u + 6516*u - 3 + 1). 227*u**2 + 2*u Expand -91 - 5*t**2 + 91 - t + (-7*t + 23*t + t)*(-2 + 2*t + 2). 29*t**2 - t Expand (8 - 2 + 12 - 1 + 2 - 3 + 1 + 2 - 2 + (1 + 0 + 0)*(-1 - 1 + 1) - 3 + 4 - 2)*(3 - 3 - r + (2*r - r + r)*(3 - 4 + 3)). 45*r Expand -18 + 17*s**5 + 54*s**5 - 27*s**5 + (3*s**3 + 2*s**5 - 3*s**3)*(-2 + 3 - 3). 40*s**5 - 18 Expand -49*a**2 + 6*a + 2*a**3 + 49*a**2 - 5*a**3 + 16*a - 16*a + (-a + a - a**2)*(4*a - 4*a + 2*a). -5*a**3 + 6*a Expand (4*s + 0*s - 5*s + (-5 + 1 + 3)*(-s - 2 + 2) + 4*s - s - 9*s)*(-9*s**4 - 11*s**4 - 21*s**4). 24
{ "pile_set_name": "DM Mathematics" }
-3/41521688? False Which is greater: -463168 or -463188? -463168 Is 968244710 > 968244708? True Is -1 > -166201671? True Which is bigger: 3/4095430 or -1? 3/4095430 Is -109150928 greater than -764056498/7? True Is 12487 at least as big as -0.0523? True Is -52/704611 at most -1? False Is 1577 bigger than 2433? False Is 1.96 > 179/90? False Which is smaller: -1 or -5230716? -5230716 Is 1569 <= -66051? False Is 85781 less than or equal to 85400? False Which is greater: -5757938 or -5757937? -5757937 Is -1211564/53 less than -22859? True Is 2240 >= -102427? True Which is bigger: 1 or 12/917737? 1 Which is greater: 16978 or -1821? 16978 Is 23.325 smaller than 101.1? True Do 1 and 307/426998 have different values? True Which is smaller: -1/37440790 or 0? -1/37440790 Is -1 >= 6/31782773? False Which is bigger: -1 or -1017/57308? -1017/57308 Are -563/2255116 and -1 equal? False Which is greater: -1/65020000 or -1? -1/65020000 Which is greater: -169687633 or -169687630? -169687630 Which is smaller: -28019428 or -28019429? -28019429 Which is greater: -2/5 or 5372236? 5372236 Do 6 and 66766/13899 have the same value? False Which is smaller: -1 or -3/23262211? -1 Is 603278 at least 603278? True Which is smaller: 390 or 9171? 390 Is 77152476 greater than or equal to 77152480? False Which is bigger: -1381782 or -1381570? -1381570 Is -1 >= 14425/36961? False Is -1511968 not equal to -0.018? True Which is smaller: 5562402/65 or 85574? 85574 Which is smaller: 89219/5 or 17845? 89219/5 Which is bigger: 250/589337 or -1? 250/589337 Which is smaller: -43 or -208.683? -208.683 Which is greater: 248.08 or -10816? 248.08 Which is bigger: 6041480 or 0.1? 6041480 Are -6012 and -461 equal? False Is 55/149598 less than 1? True Which is smaller: -8822784 or -8822782? -8822784 Are 23235383/2 and 11617692 non-equal? True Which is bigger: -166910 or -2837466/17? -2837466/17 Is 318573/64 > 4979? False Do -32.5732 and -1/5 have the same value? False Is 68803193 greater than or equal to 68803194? False Is 29112004 equal to 29112005? False Which is greater: -26207 or -26381? -26207 Which is smaller: -24113 or -0.0386? -24113 Is -432632 at most -432627? True Which is greater: 5/1590644 or 1? 1 Is 2/9 <= 43.8368? True Are -31217 and -31894 nonequal? True Which is smaller: 44777 or -8.227? -8.227 Which is greater: -47046 or -47156? -47046 Are -174/54157 and -1 nonequal? True Is 203189940 equal to 203189941? False Which is smaller: 1 or -275/398868? -275/398868 Is -170037 less than or equal to -170012? True Which is greater: -2415 or 34/6265? 34/6265 Which is smaller: 0 or 2/296401063? 0 Is -47/811261 equal to 1? False Is 7797/22969 less than or equal to 0? False Is 21842 > 21763? True Is -13 < -199851? False Is -1561/37258 at most as big as 1? True Does -1/2714957 = 0? False Is 0 less than or equal to -3261/56920? False Which is smaller: -39316632 or -39316655? -39316655 Is -1/13292 < 1? True Which is smaller: -1524358 or -9146143/6? -1524358 Which is smaller: -537417.32 or -0.06? -537417.32 Is -9/277620598 > -1? True Which is bigger: -1/2 or -1360558? -1/2 Which is greater: -1 or -4099/1972? -1 Which is smaller: 1/2 or -33476.948? -33476.948 Is 2 not equal to 9256/4883? True Is 36 bigger than 8164.443? False Which is greater: 64 or -3757/55? 64 Which is smaller: -161 or 10/5277? -161 Is 1 smaller than 7154/128967? False Which is bigger: 5/1628 or -126328? 5/1628 Is -125580209 less than or equal to -125580204? True Which is greater: -11 or -719363? -11 Which is smaller: 614539 or 614418? 614418 Is -51239233 greater than or equal to -51239234? True Are 456723 and 456667 equal? False Is 96 less than or equal to 110.406? True Which is smaller: 21 or 50203/2392? 50203/2392 Is 2/459685 >= -4? True Are -1896261 and 48 equal? False Which is greater: -111 or -1836811? -111 Is -39 smaller than -55965? False Which is smaller: 0.03 or 383853? 0.03 Do 3/7 and -1729499 have different values? True Which is smaller: -1928569 or -1928787? -1928787 Is -7017005 less than -7016983? True Which is smaller: 15 or -326942? -326942 Do -744310 and -744052 have different values? True Do -1 and 1/106451987 have different values? True Are -41809 and 2000 unequal? True Which is smaller: 6564290 or 6564303? 6564290 Is -1162027408 bigger than -2? False Is -529/1093608 != -1? True Is 24 at least as big as -1302450? True Is 22937999 greater than or equal to 22937999? True Do -2.323057 and -94 have different values? True Which is smaller: -1997547 or -1997544? -1997547 Is 13/18 less than or equal to 1.45888? True Is -14137419 bigger than -14137417? False Is -9500 != -10011? True Which is smaller: -13482050 or -1/3? -13482050 Which is smaller: -2724175111 or 0? -2724175111 Which is bigger: 31567 or 12183? 31567 Is 3/37 less than or equal to 4511/3? True Which is greater: 47/2 or 0.07393543? 47/2 Which is smaller: -1543/7678 or 0? -1543/7678 Are 9802676 and 9802676 equal? True Is -13 smaller than 9617282? True Do -228853 and 230 have the same value? False Which is bigger: 2147083/9 or 238565? 238565 Is -556265382 at most -556265382? True Is -6953829/26 at least -267456? True Which is smaller: -24452056 or -122260281/5? -122260281/5 Are 0.013453 and 1.172 unequal? True Which is bigger: 22467279 or 1? 22467279 Is -356793058 less than or equal to -2? True Is -1124 < -32.411? True Which is bigger: 1 or 175/1860738? 1 Which is greater: -147 or -10/313111? -10/313111 Is 4933819/3 >= -1/12? True Is 78970/337 > 234? True Is 1 at least as big as 12554/126965? True Is 0 < 4072/10997? True Which is smaller: -303784/27 or -11250? -303784/27 Is -14925/1342 > -10? False Are 585357 and 586414 nonequal? True Is -0.13 smaller than 2007392? True Which is greater: -813857 or 81? 81 Which is bigger: 10234 or 8437? 10234 Is -171292822 smaller than -171292821? True Which is greater: -93047 or -3442692/37? -3442692/37 Which is bigger: 1008 or 111834? 111834 Is 1742259 less than -10? False Is 890473 > 890473? False Which is bigger: 9556 or -340? 9556 Which is smaller: 4300608 or -0.3? -0.3 Which is bigger: 735172 or 734440? 735172 Which is smaller: -4881972 or -4881971? -4881972 Is -501627/226 > -2220? True Which is smaller: 171037 or 171048? 171037 Is 181801 < -69? False Which is greater: 21/3015889 or 1? 1 Is -1056312341 less than or equal to -1056312342? False Which is smaller: 46/31 or 69.6? 46/31 Is 0.359 smaller than -1/80792? False Which is smaller: -2/710673333 or 0? -2/710673333 Do -14/207 and -0.22206 have different values? True Which is bigger: 257127 or 2828390/11? 257127 Is -44/2347149 at least 1? False Which is smaller: 31747328 or 158736646/5? 31747328 Which is bigger: 131430378 or 131430379? 131430379 Which is greater: 1 or 71/26893415? 1 Which is bigger: -138513990 or -138513988? -138513988 Which is greater: 73/71 or 2/131? 73/71 Is 183367795 != 733471185/4? True Which is smaller: 16783/25526 or 0? 0 Is -131730 not equal to -131656? True Which is greater: -35713682 or -35713680? -35713680 Which is bigger: -2764344 or 2/49? 2/49 Which is bigger: -2847293 or -2847281? -2847281 Is 3/14372054 not equal to 1? True Which is bigger: -32381186 or -7? -7 Which is smaller: -334534 or -334542? -334542 Which is smaller: -1083358 or -1083359? -1083359 Which is smaller: 6985608 or 6985621? 6985608 Which is smaller: -20619 or -20512? -20619 Which is bigger: -4871443 or -2? -2 Is 2 <= -17120010? False Which is bigger: -64 or 434995? 434995 Are -2/113378149 and -1 equal? False Is 5513 bigger than 2302? True Is -46884 bigger than -767/3? False Which is bigger: -11946744 or -11946743? -11946743 Does -186394 = -183228? False Which is smaller: -39/70 or 361.1? -39/70 Are -13464750 and 0.1 unequal? True Which is smaller: 5209227/61 or 85397? 85397 Which is smaller: 134468830 or 134468831? 134468830 Does 16419 = 16348? False Is -1461259 <= 6/71? True Is -82953/11857 >= -7? True Is 42/5755679 bigger than -1? True Is -7629 < -853? True Which is bigger: -47/2 or -5/7924? -5/7924 Which is greater: 184374 or 5346852/29? 5346852/29 Is 8 smaller than 36337/4161? True Are -12200 and -597 unequal? True Which is greater: 2/7 or 34911273? 34911273 Is 0.13552786 <= 1/5? True Are -1 and -5/909206 nonequal? True Which is greater: 64684 or 64652? 64684 A
{ "pile_set_name": "DM Mathematics" }
+ k*n(f). -f + 1 Let s(o) = 473646305*o**2 + 130581*o + 652905. Let u(c) = 14509*c**2 + 4*c + 20. Determine 4*s(a) - 130581*u(a). -14509*a**2 Let l be 80/64 - (-14)/8. Let j(w) = 1. Suppose 18*v - 58 = 14. Let r(f) = -f - 1. What is l*j(u) + v*r(u)? -4*u - 1 Let s(x) = -30*x**3 + 2*x**2 + 5*x + 7. Let b(d) = 151*d**3 - 10*d**2 - 23*d - 34. Determine -4*b(i) - 19*s(i). -34*i**3 + 2*i**2 - 3*i + 3 Let h(s) = -3*s**2 + s - 2. Let p = 13 - 5. Let g(f) = 1 - f**2 + 3*f - p + 2 - 7*f**2. Let n(c) = -1195*c - 7181. Let b be n(-6). Give b*h(q) + 4*g(q). q**2 + q + 2 Let h(z) = 10*z**2 - 1841*z - 4. Let c(t) = 12*t**2 - 1841*t - 5. What is 4*c(y) - 5*h(y)? -2*y**2 + 1841*y Let r(j) be the third derivative of -205*j**2 + 1/4*j**4 - 1/60*j**5 + 0 - 2*j**3 + 0*j. Let d(s) = -s + 1. Determine -5*d(k) - r(k). k**2 - k + 7 Let n = 1621 - 1615. Suppose 31 = 12*p - 29. Let g(o) = -6*o**3 - 7*o**2 + 5*o - 3. Let l(w) = 7*w**3 + 8*w**2 - 6*w + 4. What is n*g(v) + p*l(v)? -v**3 - 2*v**2 + 2 Suppose 35*h + 26 = 48*h. Suppose 0 = 5*j - 6 - 4. Let w(c) = 4 - j*c**2 - 5 + c + 3*c**2 + 0. Let y(a) = -10*a**2 - 8*a + 10. Calculate h*y(s) + 18*w(s). -2*s**2 + 2*s + 2 Let o(u) = -165*u**3 - 225*u**2 + 12*u - 48. Let x(w) = -33*w**3 - 45*w**2 + 2*w - 9. What is -3*o(v) + 16*x(v)? -33*v**3 - 45*v**2 - 4*v Let i(y) = -7*y**2 + 4*y**2 + 8*y**2 + 0 - 12 - 4*y**2. Let b(z) = -z**2 + 1. Determine 3*b(k) + i(k). -2*k**2 - 9 Let s(y) = -2*y**2 + y - 4. Let z = 17 - 21. Let p(h) = 4815 + 4815 + 3*h**2 - 9627 - 2*h. Calculate z*s(t) - 3*p(t). -t**2 + 2*t + 7 Let b(c) = 1. Let y(d) be the first derivative of -d**2/2 - 11*d + 77. Suppose -4*u - 11 = 14*m - 13*m, -2 = 4*m + 2*u. Determine m*y(r) + 4*b(r). -r - 7 Let l(u) = 2699*u - 14. Let a(m) = -5397*m + 32. What is -4*a(c) - 9*l(c)? -2703*c - 2 Let y(v) = 57*v + 220. Let l(q) = 20*q + 74. Give 8*l(u) - 3*y(u). -11*u - 68 Let k(x) = -13*x**2 - 208*x - 5. Let d(a) = 3*a**2 - a + 1. Give 4*d(s) + k(s). -s**2 - 212*s - 1 Let q(v) = 2*v - 1. Let y(b) = -4*b + 4. Let s(g) = 3*g - 3. Let p(x) = -5*s(x) - 4*y(x). Determine -7*p(m) + 3*q(m). -m + 4 Suppose 13*t = -9 + 74. Let n(b) = 66*b**3 - 5*b + t*b**2 - 2 - 63*b**3 - 4. Let c(v) = -2*v**3 - 4*v**2 + 4*v + 5. Determine -5*c(o) - 4*n(o). -2*o**3 - 1 Let b(d) = -5*d**3 + 2*d**2 - 4*d - 6. Let t(y) = 67*y - 141*y + 73*y + 2 - 3 - y**3. Suppose -c + 3 = -0*c. Suppose o - c - 3 = 0. Give o*t(a) - b(a). -a**3 - 2*a**2 - 2*a Let p(a) = a - 7. Let s(m) = -m - 2. Let w be s(-7). Let o be p(w). Let u = o + -4. Let f(i) = 14*i - 20. Let q(h) = 5*h - 7. Calculate u*f(y) + 17*q(y). y + 1 Let d(x) = 3*x. Let t be (-1 + 3)/(-11 + (-3856)/(-352)). Let h(l) = -44*l. What is t*d(g) - 2*h(g)? -44*g Let v(c) = -c**2 + 6*c - 3. Let t(m) be the first derivative of -5*m**2/2 + 2*m + 1. Suppose 18748*p - 18906*p = 474. What is p*t(a) - 2*v(a)? 2*a**2 + 3*a Let j(d) be the third derivative of 0*d + 1/120*d**6 - 93*d**2 - 1/15*d**5 + 0 - 1/8*d**4 + 0*d**3. Let h(w) = -2*w**3 + 9*w**2 + 7*w. Give 6*h(m) + 14*j(m). 2*m**3 - 2*m**2 Let j(o) = 4*o + 52. Let s(k) = 7*k + 104. Give 9*j(y) - 5*s(y). y - 52 Let k(w) = -w + 1. Let g(i) = -29*i - 30. Let l be g(-1). Let q(c) = -19*c - 3. Let d(o) = -5*o. Let v(x) = l*q(x) + 4*d(x). What is -12*k(j) + 4*v(j)? 8*j Let h(k) = 1. Let i(t) = t**3 - 4. Let z(m) = -9*m**3 - 3*m**2 - 12*m + 13. Let p be z(3). Let a = 294 + p. Give a*i(f) + 4*h(f). f**3 Let i(a) = -a**2 - 6*a - 10971. Let t(n) = -5*n**2 - 27*n - 43880. Calculate 9*i(g) - 2*t(g). g**2 - 10979 Suppose -2*g = 4, 0 = 5*l - 11*g + 9*g + 1. Let c(m) = 16*m + 17*m - 34*m. Let f(o) = -5*o**2 - 4*o. Give l*f(h) + 4*c(h). 5*h**2 Let x(i) = 14*i - 1471. Let g(s) = 30*s - 2911. Give -6*g(d) + 13*x(d). 2*d - 1657 Let x(r) = -352*r. Let m = -115 - -117. Let s(t) be the first derivative of 13*t**2/2 + 188. Determine m*x(z) + 55*s(z). 11*z Let p(n) be the second derivative of -11*n**4/12 - 3*n**3/2 + 9*n**2/2 - 424*n. Let m(k) = k**2 + k - 1. Determine 18*m(a) + 2*p(a). -4*a**2 Let z(s) = 7*s**2 + 22*s + 44. Let t(n) = -6*n**2 - 24*n - 38. Give 6*t(h) + 5*z(h). -h**2 - 34*h - 8 Let y(c) = -3278*c - 62. Let d(g) = 2185*g + 44. Determine -7*d(j) - 5*y(j). 1095*j + 2 Suppose 6 = -2*f - 6. Let i be 2/((2 + f)/(-12)). Let g(j) = -j**2 - 2*j + 2. Let o = -130 + 79. Let z(s) = -8*s**2 - 17*s + 17. Give i*z(y) + o*g(y). 3*y**2 Let k(i) = i**3 - 4*i**2 + i. Suppose -8 = 39*w - 43*w. Let t(r) = -2*r**3 + 9*r**2 - r. What is w*t(s) + 5*k(s)? s**3 - 2*s**2 + 3*s Suppose 52*m + 24*m = m + 225. Let t(d) = d**2 + 51*d + 5. Let w(l) = -2*l**2 - 51*l - 6. Give m*w(j) + 4*t(j). -2*j**2 + 51*j + 2 Let c(f) = 11*f**3 + 6*f**2 - 295*f + 11. Let d(b) = -7*b**3 - 4*b**2 + 197*b - 7. Give 5*c(i) + 8*d(i). -i**3 - 2*i**2 + 101*i - 1 Let t(a) = -166783799*a**2 + 54801*a + 164403. Let z(i) = -6087*i**2 + 2*i + 6. Calculate 2*t(f) - 54801*z(f). 6089*f**2 Let t(x) = 3*x**2 - 8*x - 130. Let p be t(-8). Let u = -129 + p. Let h(l) = 6*l - 5. Let i(q) = -12*q + 9. Calculate u*i(z) - 5*h(z). 6*z - 2 Suppose -2*b + 35 = 5*n - 4*b, -10 = 2*b. Let g(x) be the second derivative of x**4/3 + 15*x + 1042. Let r(i) = 2*i**2. Determine n*r(z) - 3*g(z). -2*z**2 Let c(g) = -3*g**3 + g + 2. Let a(r) = -r**3 + r**2 + 1. Suppose d + 4*v = 5*d - 20, -16 = 4*v. What is d*a(s) - c(s)? 2*s**3 + s**2 - s - 1 Let m(u) = 5*u + 7 + 26*u**2 - u + 0*u - 10*u**2 - 20*u**2. Let x(q) = -q**2. What is -m(d) + 3*x(d)? d**2 - 4*d - 7 Let x(n) = 2*n**2 - 142*n + 17. Let c(w) = -w**2 + 47*w - 6. Give 17*c(f) + 6*x(f). -5*f**2 - 53*f Let f(o) = 942 - 942 - 2*o + 3*o. Let k be (-15)/(-4) - (-2)/8. Suppose -k*u + 12 = -2*r, 0*u - 2*u - 3*r = -6. Let a(x) = -2*x - 1. Calculate u*f(h) + a(h). h - 1 Let w(p) = -21*p**3 - 2*p**2 + 1. Let g be (-3 - -8)*(-16)/16 + -2. Let o(h) = -62*h**3 - 7*h**2 + 3. What is g*w(l) + 2*o(l)? 23*l**3 - 1 Let o(j) = 3*j - 27. Let x be (-231)/(-15) + (-2)/5. Suppose 3*c + 10 = -t, -3*c + 5*c + x = t. Let s(v) = 2*v - 18. What is c*o(r) + 7*s(r)? -r + 9 Let i(c) = -c + 3. Let w(p) = 2*p - 10. Let r = -199 - -206. Let l be r + 10/((-60)/(-18)). Determine l*i(n) + 3*w(n). -4*n Let q(a) = 5618*a. Let h(c) = 741577*c. Calculate -6*h(n) + 793*q(n). 5612*n Let x(q) = -6770*q + 66. Let f(l) = -2259*l + 20. Determine 10*f(z) - 3*x(z). -2280*z + 2 Let u(r) = -r**3 + 6*r**2 - 8*r - 3. Let w be (-11 - -3) + 37 - 12. Let o(a) = 3*a**3 - 17*a**2 + 23*a + 9. Give w*u(c) + 6*o(c). c**3 + 2*c + 3 Let b(s) = 46 + 60 - 164 + 57 - s. Let q(c) = 8*c + 8. Give -10*b(y) - q(y). 2*y + 2 Let s(y) = 11*y**3 - 5*y**2 - 5*y + 3. Let n = -6686 + 6681. Let x(a) = -10*a**3 + 4*a**2 + 4*a - 3. What is n*x(g) - 4*s(g)? 6*g**3 + 3 Let k(w) = -4*w**2 + 6*w - 2. Let u(y) = 7*y + 10*y - 9*y**2 - 16 - 7*y + 11 + 2*y. Determine -7*k(g) + 3*u(g). g**2 - 6*g - 1 Let z(n) = 83*n**2 - 11. Let p(f) = 2219*f**2 - 2 - 4 - 1076*f**2 - 1102*f**2. What is -11*p(i) + 6*z(i)? 47*i**2 Let w(c) = 4*c. Let r be (-45)/6*(-5)/(15/2). Let s be (-2)/(2/(-5)) - r. Suppose s = 6*u + 10 - 4. Let j(p) = -p. Give u*j(f) - w(f). -3*f Let t(z) = -2*z**2 + 1. Let w be t(1). Let v(m) = -2*m + 1. Let s = 15 - -57. Let k(g) = 34*g - s*g + 37*g. Calculate w*v(l) + 5*k(l). -3*l - 1 Let a(w) = -3*w**3 - 351*w**2 + 6*w - 5. Let b(s) = 8*s**3 + 703*s**2 - 15*s + 11. Calculate 5*a(v) + 2*b(v). v**3 - 349*v**2 - 3 Let j(g) = -g**2 + g - 1. Let h(z) = -2*z**2 + 257*z + 925. Let l be h(132). Let x(d) = d**3 + 6*d**2 - 4*d + 9. Calculate l*x(m) + 6*j(m). m**3 + 2*m + 3 Let n(m) = -91*m + 13. Suppose 103*q + 26 = 116*q. Let x(p) = 15*p - 2. Calculate q*n(u) + 13*x(u). 13*u Let q(x) = -88*x**3 - 34*x**2 + 15*x. Let j(g) = 44*g**3 + 21*g**2 - 8*g. Calculate 5*j(u) + 3*q(u). -44*u**3 + 3*u**2 + 5*u Let l(i) = -i**3 - 4*i**2 - 2*i + 3. Let c be (-15)/(-6)*-2*(6 + -5) - -1. Let m(w) = -2*w**3 - 5*w**2 - 3*w + 4. Calculate c*m(n) + 5*l(n). 3*n**3 + 2*n - 1 Let a(d) = -d**2 - d. Let u(z) = 6*z**2 + z - 1. Let r = 7924 - 7925. Give r*u(j) - 2*a(j). -4*j**2 + j + 1 Let t(n) = -16*n**2 + 5*n - 4. Let r(v) = -v. Let d(p) = -p**2 + 4*p - 1. Let j(l) = d(l) + 3*r(l). Calculate -10*j(x) + 2*t(x). -22*x**2 + 2 Let b(d) = -248868*d**3 + 1115*d - 3345. Let w(f) = -669*f**3 + 3*f - 9. Give 3*b(k) - 1115*w(k). -669*k**3 Let p(j) = 5*j + 1. Let u(m) be the first d
{ "pile_set_name": "DM Mathematics" }
+ p + 1. Let u(g) be the first derivative of g**4/4 + 7*g**3/3 + g**2 + 3. Let y(d) = -2*i(d) + 3*u(d). Give y(-4). -2 Let u(g) = 3*g**2 + 2*g + 1. Let i be u(-2). Let b(a) = i + 7*a - 1 - 1 + a**2. Give b(-6). 1 Let p(r) = -r**3 + 7*r**2 - 7*r - 3. Let x(a) = a**2 + 4*a + 2. Let y be x(-2). Let h(u) = -2*u**3 - 4*u**2 - 2*u + 2. Let m be h(y). What is p(m)? -9 Let j(d) = -39*d - 1 - d**3 + 40*d + d**2 + 8*d**3. Give j(1). 8 Let b(s) = -s**3 - 8*s**2 - 6*s + 9. Suppose -6 = p + 1. Let l be b(p). Let w(r) be the first derivative of 2*r**3/3 - 3*r**2/2 + 2*r - 1. Give w(l). 4 Suppose -10*d = -0*d + 20. Let i(t) = t**3 - t + 1. Determine i(d). -5 Suppose -k = -z - 10, -10 = -4*z + 9*z. Let p(x) = x**3 - 9*x**2 + 8*x - 5. Determine p(k). -5 Let x(l) = -l - 16. Let n be x(-12). Let u(r) = -r - 5. What is u(n)? -1 Let n be 14/4 + 3/(-6). Let t(v) = -2*v + 2 - 5*v - 5 + n*v. Give t(-3). 9 Let z(t) be the first derivative of t**6/120 + t**2 + 1. Let r(u) be the second derivative of z(u). Give r(-1). -1 Let c(d) be the second derivative of d**5/20 - d**4/12 + d**3/3 - d**2/2 + 3*d. Determine c(2). 7 Let c(w) = -3*w**3. Let s be c(-1). Suppose 0 = -s*o + 3 - 0. Suppose -o = x - 0. Let q(v) = -9*v - 1. What is q(x)? 8 Let o(c) = c**3 + c**2 + c + 1. Let u(b) = 10*b**3 + 5*b**2 + 6*b + 4. Let v(n) = -5*o(n) + u(n). Calculate v(1). 5 Let h(t) = -3*t**3 - 11*t**2 + 8*t + 29. Let p(b) = -b**3 - 4*b**2 + 3*b + 10. Let w(q) = -4*h(q) + 11*p(q). Calculate w(0). -6 Suppose -4*y - 2*d + 40 = 2*d, -4*y - 3*d = -35. Let h(m) = 2*m**2 - 4*m**3 - 2*m**2 + 1 + y*m**3 - 3*m. What is h(2)? 3 Let k(p) be the first derivative of -p**4/4 + 7*p**3/3 - 3*p**2 + 1. Let h be 8/(-36) - (-20)/9. Suppose h*c - c - 6 = 0. What is k(c)? 0 Suppose 2 = -2*p + 4. Let t(z) = 2*z. Determine t(p). 2 Let k(u) = u**2 - 6*u. Let w(f) = 3*f - 10. Let l be w(-5). Let o be (-10)/l + 23/5. Give k(o). -5 Let z(k) = -2*k + 4. Suppose -j + 3 + 2 = 0. Let m(v) = v - 2. Let a(i) = j*m(i) + 3*z(i). What is a(4)? -2 Let b be ((-24)/10)/((-1)/5). Let o be (6/(-4))/(b/(-32)). Let u(c) = -9*c + 1 + 0 + 8*c. Determine u(o). -3 Suppose -12*c + 9*c + 6 = 0. Let w(o) = 3*o**2 + 4*o + 2 + 6*o**3 - o**3 - c*o**3 - 2*o**3. Determine w(-3). -10 Let w = 3 + -8. Let r(h) be the third derivative of -h**5/60 - h**4/4 + h**2. Give r(w). 5 Let i(z) = -5*z + 1. Let p(y) be the first derivative of -5*y + 1/3*y**3 + 5/2*y**2 + 1. Let v be p(-6). Determine i(v). -4 Let t = -5 + 8. Let a(d) = d**2 - 2 - 1 + 2 + t*d. Calculate a(-3). -1 Let c(o) be the first derivative of o**2/2 + 3*o - 1. Let z be c(-2). Let g(y) = -3 + y - 3 - z. What is g(5)? -2 Suppose -k + 3*h + h - 20 = 0, 0 = -k + 2*h - 14. Let l be (-3)/(-6)*k/(-1). Let o(b) = -b**3 + 4*b**2 - 2*b - 2. Give o(l). -10 Let v(f) = f + 3. Let t be v(-2). Let m(i) = -t + 1 - i - 1. Let n = -1 + -3. Determine m(n). 3 Suppose 0 = -0*o - 4*o + 8. Suppose -2*m - 3*k + 5 - o = 0, -5*m - 4*k = -11. Let s(q) = -6 + 4 + 2 - m*q. Give s(-1). 3 Let u(z) = -2*z + 5. Let l(s) = -s + 3. Let c(o) = 7*l(o) - 4*u(o). Calculate c(-5). -4 Suppose 0 = -u - 1. Let t(j) = -16*j**2 - 6*j + 1. Let p(w) = w**2 + w. Let q(f) = -6*p(f) - t(f). Determine q(u). 9 Let z(g) = 4*g + 2 + 0 - 3*g. Let t be 16/6*(-3)/(-4). Suppose b - h = 2*h - 5, -t*b - h - 10 = 0. What is z(b)? -3 Suppose 0 = -23*w + 20*w - 18. Let v(g) = -g**3 - 6*g**2 - 2*g - 7. Calculate v(w). 5 Let q(a) be the first derivative of a**3/3 - 2*a**2 + 4*a + 8. Let w be 3 + 1 + (-1)/1. Suppose 22 - 7 = w*b. What is q(b)? 9 Suppose -2 = -5*l + 18. Let x(o) = 7*o - 6*o + 0*o. What is x(l)? 4 Let k(t) = -t**3 - 11*t - 11. Let n(y) = y**3 + y**2 + 12*y + 12. Let c(x) = 7*k(x) + 6*n(x). What is c(5)? -5 Let n = -10 - -30. Suppose -2*l = -t - 7, 3*l - 2*l - n = -5*t. Let m(o) = -o**t - 3*o - o**2 - 3 + 2*o**3 + 0*o**2 + 1. Determine m(-2). -8 Let w(l) = -l**2 + 2*l. Let v = 140 + -144. What is w(v)? -24 Suppose -j = 2*j + 15. Let m(p) be the third derivative of -2*p**2 - 5/24*p**4 + 0 - 1/60*p**5 - 7/6*p**3 + 0*p. Calculate m(j). -7 Let c(y) be the second derivative of y**3/3 - 3*y**2/2 + 2*y. What is c(4)? 5 Let k be (5 - 2)*-1 + -2. Let p be (-198)/(-42) + (-2)/(-7). Let o(a) = 12 + 3*a - a - a - p. Determine o(k). 2 Let r(p) = p + 3*p + 4 - 6 - 2*p. Determine r(-2). -6 Let o(d) be the third derivative of d**4/24 + d**3 - 3*d**2. Let n = -10 - -5. What is o(n)? 1 Let q(r) be the second derivative of -r**7/2520 - 7*r**6/720 + r**5/24 + r**4/3 + 5*r. Let p(a) be the third derivative of q(a). Determine p(-7). 5 Let j be -9*2*3/(-18). Let f(c) = 2*c**2 - 5*c**2 + 2*c**2 - 5*c + j + 0*c. Determine f(-6). -3 Let n(j) = j**2 + 5*j + 5. Let w = 33 + -39. Give n(w). 11 Let r = 5 + -5. Suppose -4*h = -0*j + 3*j, 0 = -2*h - 6. Let u = r - j. Let n(y) = -y - 4. Calculate n(u). 0 Let w = 14 - 10. Let p(n) = w - n - 6 - 2. Calculate p(-6). 2 Let g be ((-2)/(-6))/((-2)/12). Let q(a) be the second derivative of a**5/20 + a**4/6 + 2*a**3/3 + 3*a**2/2 + 4*a. What is q(g)? -5 Let y(v) = -v**3 + v**2 + 2*v - 1. Suppose 5*a - n - 2*n - 6 = 0, 0 = a + 4*n - 15. Let i = -1 - -2. Let f = a - i. Calculate y(f). -1 Let x(v) = -v + 6. Let u(q) = q**3 + 12*q**2 + 10*q - 6. Suppose k = -7 - 4. Let m be u(k). Calculate x(m). 1 Let q(x) be the second derivative of -x**3 - x**2/2 + 10*x. Determine q(-1). 5 Let l(b) = b**2 - b + 1. Let f(o) = 4*o**2 - 12*o + 4. Let s(m) = -f(m) + 5*l(m). Determine s(-3). -11 Let s be (-9)/6*(-5)/(15/(-4)). Let t(c) = 2*c**3 - c**2 + 3*c + 1. What is t(s)? -25 Suppose -3*l + 3 = -5*m + 7, m + 8 = 5*l. Let t(x) = x**2 + 8 - 3 + m*x - 2. Determine t(-3). 6 Suppose q + 11 = f, 10 + 7 = -2*q + f. Let r(t) = -t**3 - 7*t**2 - 7*t - 2. What is r(q)? 4 Let f(u) = -u**3 + 16*u**2 - 3*u + 2. Let h(c) = 2*c**3 - 33*c**2 + 5*c - 4. Let x(l) = -13*f(l) - 6*h(l). Determine x(9). -2 Let x(f) be the second derivative of -f**7/70 + f**5/60 - f**4/24 + 5*f**3/6 - f. Let u(p) be the second derivative of x(p). What is u(1)? -11 Let c(t) = -t - 10. Suppose 0 = -2*h - 20 + 6. Determine c(h). -3 Let v(j) = 3*j - 2*j + 14 + 2*j - 2*j. Let w be v(-9). Let a(g) = -g**2 + 5*g + 7. Calculate a(w). 7 Let z(v) = 3 - 2 - 18*v + 15*v. Suppose 3*x - 3*p - 2*p = 19, -x - p = -1. Determine z(x). -8 Let n(q) = 5*q + 3. Let o(u) = 4*u + 2. Let t(z) = -3*n(z) + 4*o(z). Give t(0). -1 Let k be (-396)/8*2/(-3). Let v be 2/((-27)/k - -1). Suppose -3*j + v = -b, b + 14 = -j + 5*j. Let q(h) = 4*h + 1. Calculate q(b). -7 Let a(s) = s**2 + 4*s + 3. Let f = -4 - -7. Let g(v) = -v**2 - 4*v**3 + 5*v**f + 4*v**2 - 2 + 2*v. Let i be g(-2). What is a(i)? -1 Let z(d) = d**3 + 10*d**2 - 2*d - 15. Let i be z(-10). Let f(a) = -7 + 5*a**2 + 0 + a**2 - 6*a - 5*a**2. What is f(i)? -12 Let y = -4 - -3. Let j(s) = -6*s**2 + 1 + 7*s - 5*s + 0. Give j(y). -7 Suppose -y - 13 = 2*c - 1, -3*c + 5*y - 44 = 0. Let s(m) = m + 2. Give s(c). -6 Let o(n) be the first derivative of n**2 + 0*n**3 + n + 7/2*n**4 - 1. Give o(-1). -15 Let b(n) = -n**2 + 5*n + 7. Suppose -5*s - z + 25 = -0, 15 = -3*z. Determine b(s). 1 Let v(k) = k - 1. Let g(n) = -5*n**3 - 15*n**2 + 8*n + 1. Let i(d) = d**3 + d. Let r(q) = g(q) + 6*i(q). Let h be r(14). Determine v(h). 0 Let o(b) = 5*b + 1. Suppose f = -f - 4. Determine o(f). -9 Suppose -4*s + 31 = 3*f, 0 = -5*s - 2*f + 3*f + 53. Suppose 2*l = a - s, -2*a - a + 2 = l. Let u(n) = -n**2 - 2 - 3*n - 1 + 4. What is u(l)? -3 Let x = 3 - 4. Let r be ((9/3)/(-3))/x. Suppose -z + 2 = r. Let v(g) = -3*g**3 + g - 1. Calculate v(z). -3 Let m(s) = -1 + 0 - 3*s + 0 - s**2. Let l(r) = -r**2 + 7*r. Let i be l(3). Suppose -3*a + 0 = i. Give m(a). -5 Let x be ((-3)/(-4))/((-1)/8). Let i(k) = k + 2. What is i(x)? -4 Let v(b) = b**2 + 5*b + 4. Suppose -i = -s - 4, -2*i - 4 - 9 = s. What is v(s)? 18 Let c = 15 - 7. Let f be (c/(-10))/((-3)/15). Suppose 2*q - f = -0. Let h(v) = 2*v**3 - 4*v**2 + 2*v. Calculate h(q). 4 Let r(k) = -k**3 - 6*k**2 + 7*k + 1. Suppose -2*w = 15 - 1. Calculate r(w). 1 Let s(q) = 0*q**3 + 2*q + 0*q - 17*q**3 + 0*q - 1. Give s(1). -16 Suppose -3*v + 4*j = 3, -4*j + 0 = -4*v - 8. Let p(t) = 2*t + 1. Let u be p(v). Let g = u + 5. Let q(m) = -m**3 - 5*m**2 - 5*m - 6. Calculate q(g). -2 Let z(c) = -c**2 + c - 1. Let x(u) = 4*u**2 - 7*u + 3. Let n(p) = -x(p) - 5*z(p). What is n(
{ "pile_set_name": "DM Mathematics" }
9. Calculate the greatest common factor of 66 and d. 33 Let b = 37 + -37. Suppose b = -3*a + 6, a - 208 = -4*y + 946. Calculate the highest common factor of y and 18. 18 Let x = 74 - 18. Suppose -4*z = -2*l - 38, -x = -5*z - 3*l - 3. Let u be (6/z)/((-3)/(-30)). What is the highest common factor of 9 and u? 3 Let o = -40 - -65. Suppose 3*s + p = 14, -3*s + 2*p - 7*p = -34. Let f = o - s. Calculate the greatest common divisor of f and 66. 22 Let v be ((-105)/(-42))/(5/10). Calculate the highest common factor of 355 and v. 5 Let f = -378 - -477. Calculate the highest common factor of 66 and f. 33 Suppose -v + 6*v - 10 = 0. Let s be ((-12)/7)/(v/(-154)). What is the greatest common factor of 12 and s? 12 Let j(m) = 2*m**3 - m**2 - m. Let w = -8 + 10. Let c be j(w). Calculate the highest common factor of 40 and c. 10 Let a(d) = 3*d**3 - 10*d**2 + 3*d - 9. Let l be a(4). Calculate the highest common factor of l and 105. 35 Let h = 14 + -13. Let s be (h - 0)*(0 - 2). Let k be s/(3*4/(-78)). What is the highest common factor of k and 13? 13 Let h(q) = -q**2 - 4*q + 1. Let n(l) = -l + 3. Let z be n(3). Suppose z = 5*c + 3 + 7. Let o be h(c). What is the greatest common factor of 5 and o? 5 Let x(a) = -a**2 + 17*a + 19. Let h be x(-6). Let z = -116 - h. Suppose 0 = -2*j + 8 + 4. Calculate the highest common factor of z and j. 3 Let h = -12 + 48. Let t be h/8*14*2. Let v = -17 + 31. Calculate the greatest common factor of t and v. 14 Suppose -62*h = -59*h - 69. Calculate the highest common factor of 368 and h. 23 Let n = -337 - -351. Calculate the greatest common factor of 6 and n. 2 Let t = 823 + -570. Let u be (-4)/(-10) + (-1662)/30. Let l = 78 + u. What is the greatest common divisor of t and l? 23 Suppose -33*k - 110 = -28*k. Let r = 10 - k. Calculate the highest common divisor of 256 and r. 32 Suppose -3*j + 0*j + 51 = -z, -2*j - 4*z = -48. Suppose 2*y - y = j. Calculate the greatest common divisor of y and 45. 9 Suppose 5*g = 23 + 62. Calculate the highest common factor of 153 and g. 17 Let o = 116 - 73. Let y = o + -41. Calculate the greatest common factor of 32 and y. 2 Let y(q) = -4 + 17 - 4*q + 8 - 5. Let c be y(0). Calculate the greatest common factor of 176 and c. 16 Let c(b) = b**2 + 5*b + 1. Let k be c(-3). Let v be (2 - -56)/(7 + k). Let a = v - 24. Calculate the greatest common divisor of a and 20. 5 Let b(w) = 2*w - 3. Let s be b(3). Let l = -77 - -110. What is the greatest common divisor of s and l? 3 Let h(g) = g**3 - 10*g**2 - 11*g + 5. Let q be h(11). Let v be (-3)/q - 856/(-10). Calculate the highest common factor of v and 17. 17 Suppose 0 = -13*n - 21*n + 204. Let o = -184 - -268. What is the greatest common divisor of o and n? 6 Let r(l) = 3*l**3 - 3*l**2 + 5*l - 3. Let b be r(3). Calculate the highest common factor of b and 165. 33 Let w(b) = -b**2 - 9*b + 12. Let g = -55 + 97. Suppose 6*l = -12 - g. Let z be w(l). What is the greatest common factor of 3 and z? 3 Let x = 38 - 36. Let q = 100 + -84. What is the highest common divisor of q and x? 2 Suppose 2002 = 2481*b - 2474*b. Calculate the highest common factor of b and 22. 22 Let l be (-8)/(-6)*60/40. Suppose 3*t - 6*f + 7*f = 227, 2*t + l*f - 146 = 0. Calculate the greatest common factor of 11 and t. 11 Suppose 0 = -0*m + 2*m - 208. Let l(u) = 4*u**2 + 17*u + 4. Let f be l(-4). Suppose -2*v + m = 2*v + p, -p = f. What is the highest common divisor of 13 and v? 13 Suppose 0 = -4*l + 3*f + 63, 3*f + 18 + 9 = l. What is the greatest common factor of 324 and l? 12 Let d be ((-14)/3 + 2)*6/(-8). Suppose 4*r + 5*l - 101 = d*l, 3*r - 3*l - 102 = 0. Calculate the greatest common factor of 203 and r. 29 Suppose -2*s + 26 = -2*k, 4*k = -3*s + 7 - 3. Let x = -52 - -54. Let i be (-4)/x*(-3 + 2). Calculate the greatest common factor of i and s. 2 Let y = -468 + 508. Calculate the greatest common factor of 370 and y. 10 Let r(k) = -k**3 - 3*k**2 + k - 2. Let g be r(-4). Let z(o) = -o**3 + 2*o**2 + 36*o - 3. Let t be z(7). Calculate the greatest common divisor of g and t. 2 Suppose -c = -3*c + 46. Suppose c*q = 24*q - 79. Let l = -49 + q. What is the highest common divisor of 10 and l? 10 Suppose -r + 3*h = -177, 2*r - 4*h = -h + 357. Calculate the highest common divisor of r and 4. 4 Let p = 11 - 10. Let n be 13/p + -1 - -3. Let k be 84/n - 10/(-25). What is the greatest common divisor of 30 and k? 6 Let x = -71 - -137. Calculate the highest common factor of x and 44. 22 Let p be (2/4)/((-8)/(-2384)). Suppose 3*m - 2*w = -4 + 1, 2*m = -4*w - 18. Let g = p - m. What is the highest common factor of g and 19? 19 Let b = 278 + -260. What is the highest common divisor of 18 and b? 18 Let r(y) = -y**2 + 34*y + 1. Let n be r(34). Let s be (-1 + 2 - -7) + 0. What is the highest common divisor of n and s? 1 Let i(q) = 44*q - 11. Let x be i(11). What is the highest common divisor of x and 129? 43 Let d(m) = 4*m**2 + 6*m + 1. Let n be d(-4). What is the greatest common factor of n and 1? 1 Suppose -x - 2*f = -5*f, 0 = -2*x + 2*f. Suppose x = -3*s + 5*s - 48. What is the highest common divisor of s and 32? 8 Suppose 136 = -5*u - 214. Let d = u + 140. What is the greatest common factor of 14 and d? 14 Suppose 2*g - 3*p = g, -2*g - p + 28 = 0. Let c(t) = -t**3 + 12*t**2 + 12*t - 12. Let k be c(g). What is the greatest common divisor of 12 and k? 12 Suppose -37*j - 18*j + 1045 = 0. Let a be 26/(-4) + (-1)/2. Let u = a - -26. What is the highest common divisor of u and j? 19 Let k be 122 - (-3 + 10 + -2). Calculate the greatest common divisor of k and 13. 13 Suppose 196 = -3*b + 244. What is the greatest common factor of b and 176? 16 Let o(x) = -4*x + 1. Let r be o(2). Let k = r - -11. Suppose k*v - 25 = -v. Calculate the highest common factor of 20 and v. 5 Let z = 23 + -8. Let m be 4/((z/(-20))/(-3)). Suppose -5*r + 357 = -523. What is the greatest common factor of m and r? 16 Let t = -22 - -16. Let u(n) = 3*n + 7. Let m be u(t). Let w = 13 + m. Calculate the highest common divisor of w and 2. 2 Suppose 276 = r + r - 2*q, 3*r - 434 = -q. Suppose -22 = -5*a + r. What is the greatest common factor of 132 and a? 33 Suppose -z + 3*z + 128 = 0. Let t = 175 + z. Let w = 156 - t. What is the greatest common divisor of w and 5? 5 Let q = -384 - -423. What is the greatest common factor of q and 507? 39 Let p be 36/10 - (-9)/(-15). Suppose -2*j + 2*l = -p - 5, 5*j - 26 = -l. What is the highest common divisor of j and 1? 1 Let g = 405 + -207. Let s(p) = -4*p + 6. Let y = 63 - 66. Let u be s(y). Calculate the highest common factor of u and g. 18 Suppose 207 + 17 = 2*y. Calculate the greatest common factor of 98 and y. 14 Suppose 250*c = 268*c - 126. Suppose -7*x = -5*k - 2*x + 380, -2*k + 4*x = -150. What is the greatest common divisor of k and c? 7 Let m = 265 - 254. What is the highest common divisor of 121 and m? 11 Let t(j) = -j**3 - 6*j**2 - 7*j + 4. Let d be t(-6). Let h be 3 + -5 + 1 + 2. Let n be 2/(8/276)*h. What is the highest common factor of d and n? 23 Let q = 1612 + -1610. Calculate the greatest common factor of q and 57. 1 Suppose 23 = -5*p + 3. Let o = p - -22. Let u(w) = 5*w**2 - 3*w + 4. Let d be u(-5). What is the highest common divisor of o and d? 18 Let w(n) = n**3 + 4*n**2 + 2*n - 1. Let y be w(-3). Suppose 2*o - 15 = 7*o. Let m be 102 - (o + y) - -2. Calculate the greatest common factor of m and 15. 15 Suppose 482 = 5*h + 11*h - 78. Suppose -5*a + 735 = -0*a. Let s = a - 77. What is the greatest common factor of h and s? 35 Let i(w) = 8*w**2 - 5 - 10*w**2 + 3*w + 4*w**2. Let t be i(-5). Suppose 5*f - 1 = 2*l, -2*l - 3*f + t = l. What is the highest common factor of 63 and l? 7 Suppose 5*u - 16 = -1. Let f be 1*33/9*u. Let i be 766/10 + (-4)/(-10). Calculate the greatest common factor of f and i. 11 Let v = -688 + 703. Suppose y + 4*y - 1275 = 0. Calculate the greatest common divisor of y and v. 15 Let i = 472 + -265. Let o = 58 - -39. Suppose -281 + o = -8*r. What is the highest common factor of i and r? 23 Let c be (66/15 - 2)/(39/8320). What is the highest common divisor of c and 16? 16 Suppose 8*g + 660 = 20*g. Calculate the greatest common divisor of 50 and g. 5 Suppose -n = -6*n + 5*c + 70, n = 3*c + 24. Suppose 10 + n = a. What is the highest common divisor of a and 95? 19 Let
{ "pile_set_name": "DM Mathematics" }
rom {h: 7, l: 3}. Give prob of picking 1 l and 1 h. 7/15 What is prob of picking 1 k, 1 p, and 1 r when three letters picked without replacement from {w: 1, f: 1, k: 4, p: 4, r: 9, i: 1}? 12/95 Calculate prob of picking 2 k, 1 q, and 1 a when four letters picked without replacement from kkakjaajmajqnk. 24/1001 Three letters picked without replacement from qggypqg. What is prob of picking 3 g? 1/35 What is prob of picking 3 e when three letters picked without replacement from {k: 5, e: 12, y: 2}? 220/969 Four letters picked without replacement from {k: 5, x: 1, c: 4, r: 6}. Give prob of picking 1 c, 1 r, and 2 k. 12/91 What is prob of picking 1 d and 1 i when two letters picked without replacement from {d: 8, i: 3}? 24/55 Two letters picked without replacement from qeeeeeeeeeeqeeqe. What is prob of picking 2 q? 1/40 Two letters picked without replacement from fyflyihihiyi. What is prob of picking 1 l and 1 i? 2/33 What is prob of picking 1 i and 3 r when four letters picked without replacement from rirxrrxrxrrrirrrr? 22/119 Four letters picked without replacement from {h: 7, v: 3, r: 2, t: 7, x: 1}. Give prob of picking 1 r, 2 t, and 1 h. 98/1615 Two letters picked without replacement from {x: 2, k: 3}. Give prob of picking 1 k and 1 x. 3/5 Calculate prob of picking 2 j when two letters picked without replacement from jjjjjwjjjjwwjjjjjjw. 35/57 What is prob of picking 2 z when two letters picked without replacement from {z: 4, p: 3, m: 4}? 6/55 Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {e: 1, k: 1, c: 1, q: 2, w: 1, x: 1}. 2/21 Four letters picked without replacement from uuuuu. Give prob of picking 4 u. 1 Four letters picked without replacement from {r: 3, v: 3}. What is prob of picking 1 r and 3 v? 1/5 Calculate prob of picking 3 z when three letters picked without replacement from zzlzllzg. 1/14 Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {t: 1, e: 3, i: 1, y: 1, k: 3, v: 5}. 1/91 Calculate prob of picking 3 w when three letters picked without replacement from {u: 2, w: 3}. 1/10 Two letters picked without replacement from {v: 1, g: 1, u: 4, h: 6, d: 1}. What is prob of picking 1 u and 1 g? 2/39 Four letters picked without replacement from hdhhddddnhnhh. What is prob of picking 2 h, 1 d, and 1 n? 30/143 Two letters picked without replacement from {j: 1, z: 2, u: 2, x: 4}. Give prob of picking 1 z and 1 x. 2/9 Calculate prob of picking 2 j when two letters picked without replacement from ujssujsjsjs. 6/55 Four letters picked without replacement from bkkkkzbkgbzbzzzzzbz. What is prob of picking 3 z and 1 g? 14/969 Two letters picked without replacement from {c: 4, j: 2}. Give prob of picking 2 c. 2/5 Two letters picked without replacement from {i: 2, d: 1, k: 1, w: 2, p: 2}. What is prob of picking 1 p and 1 w? 1/7 What is prob of picking 1 d and 3 m when four letters picked without replacement from {m: 4, d: 2}? 8/15 Two letters picked without replacement from {q: 1, l: 1, n: 1, k: 2, h: 2}. Give prob of picking 1 k and 1 n. 2/21 Four letters picked without replacement from {g: 5, e: 9}. What is prob of picking 2 e and 2 g? 360/1001 Two letters picked without replacement from tlrlqttrtrtqlrqlrtt. Give prob of picking 1 t and 1 l. 28/171 Three letters picked without replacement from {n: 5, e: 8, u: 7}. What is prob of picking 3 n? 1/114 What is prob of picking 4 u when four letters picked without replacement from {u: 7}? 1 Three letters picked without replacement from oiouoouufiiff. What is prob of picking 2 o and 1 f? 9/143 What is prob of picking 2 r, 1 i, and 1 f when four letters picked without replacement from {r: 2, b: 1, e: 4, i: 1, l: 2, f: 2}? 2/495 Two letters picked without replacement from sqoye. Give prob of picking 1 e and 1 q. 1/10 Four letters picked without replacement from {m: 5, g: 2, b: 3}. Give prob of picking 4 m. 1/42 Two letters picked without replacement from {o: 1, r: 1, f: 6, c: 5, q: 1}. What is prob of picking 1 r and 1 f? 6/91 Two letters picked without replacement from {g: 1, t: 4, n: 2}. Give prob of picking 1 n and 1 g. 2/21 What is prob of picking 2 h when two letters picked without replacement from {a: 1, k: 1, h: 1, o: 1, g: 1, n: 2}? 0 Two letters picked without replacement from {o: 2, z: 5, q: 1, b: 1}. What is prob of picking 1 q and 1 o? 1/18 Calculate prob of picking 2 n when two letters picked without replacement from nnnnuuunuunn. 7/22 What is prob of picking 1 k, 1 b, and 1 l when three letters picked without replacement from {z: 5, l: 1, k: 1, a: 2, b: 1}? 1/120 Three letters picked without replacement from {f: 5, w: 2, i: 3, r: 9}. Give prob of picking 2 r and 1 w. 24/323 Three letters picked without replacement from {m: 1, y: 1, f: 1, l: 1, w: 1}. What is prob of picking 1 l, 1 w, and 1 y? 1/10 Three letters picked without replacement from gxsxsssgs. Give prob of picking 1 g and 2 x. 1/42 Four letters picked without replacement from {w: 8, u: 4, y: 1}. What is prob of picking 1 u and 3 w? 224/715 What is prob of picking 1 x and 1 p when two letters picked without replacement from {x: 2, p: 2, c: 4}? 1/7 Calculate prob of picking 2 w when two letters picked without replacement from wwf. 1/3 Two letters picked without replacement from {k: 6, b: 11, f: 2}. Give prob of picking 2 k. 5/57 Two letters picked without replacement from pypy. What is prob of picking 2 p? 1/6 Three letters picked without replacement from {l: 2, d: 6, a: 1, c: 1, x: 3, r: 2}. Give prob of picking 2 r and 1 l. 2/455 What is prob of picking 1 n and 1 r when two letters picked without replacement from rrpnprrpppprmmrmrm? 7/153 Calculate prob of picking 3 b when three letters picked without replacement from {b: 9}. 1 What is prob of picking 2 a and 1 t when three letters picked without replacement from {g: 4, a: 5, t: 3}? 3/22 Three letters picked without replacement from otkkxtoktf. Give prob of picking 1 o and 2 t. 1/20 Four letters picked without replacement from rrwrrrrrjfwwrrrrwfr. Give prob of picking 1 f, 2 w, and 1 r. 12/323 Two letters picked without replacement from hhhqhkaxaqhhhxaqkk. Give prob of picking 1 k and 1 x. 2/51 What is prob of picking 2 w and 1 i when three letters picked without replacement from wwllwliliwuu? 3/55 Calculate prob of picking 1 e and 2 r when three letters picked without replacement from rrrrrrree. 1/2 Four letters picked without replacement from cuccumvmvcumccvmcvc. Give prob of picking 2 c and 2 u. 7/323 Four letters picked without replacement from {z: 1, f: 11}. What is prob of picking 4 f? 2/3 Four letters picked without replacement from eykemeyymamayayyye. Give prob of picking 1 y, 1 a, and 2 e. 7/170 Four letters picked without replacement from puppppupp. Give prob of picking 2 p and 2 u. 1/6 Two letters picked without replacement from fpzmmfpfpzfwppdf. Give prob of picking 1 m and 1 f. 1/12 What is prob of picking 2 e, 1 m, and 1 b when four letters picked without replacement from {b: 3, m: 7, e: 3, z: 2}? 3/65 What is prob of picking 4 f when four letters picked without replacement from {f: 5, g: 2}? 1/7 Three letters picked without replacement from zjbrjjjzbzrzjjjbcjjb. What is prob of picking 1 j, 1 c, and 1 b? 3/95 What is prob of picking 1 i and 1 r when two letters picked without replacement from {i: 1, l: 5, g: 2, m: 1, r: 1}? 1/45 Three letters picked without replacement from {l: 1, a: 3, t: 1}. What is prob of picking 1 t, 1 a, and 1 l? 3/10 Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {k: 1, p: 1, x: 1, r: 1, n: 1}. 1/10 Calculate prob of picking 2 m and 1 n when three letters picked without replacement from {p: 2, n: 7, m: 5}. 5/26 Two letters picked without replacement from ssstststssssssstsss. Give prob of picking 1 t and 1 s. 20/57 Four letters picked without replacement from hhnthzhth. What is prob of picking 2 h and 2 t? 5/63 Three letters picked without replacement from {f: 4, l: 1, y: 1, h: 5}. Give prob of picking 2 f and 1 y. 2/55 Calculate prob of picking 3 a when three letters picked without replacement from awwxxxaawwwwxqwwxw. 1/816 What is prob of picking 1 q and 1 k when two letters picked without replacement from qbkq? 1/3 Four
{ "pile_set_name": "DM Mathematics" }
1/4, j, l Let v = -2 - -9. Let y(g) = -g**3 + 7*g**2 - g + 7. Let b be y(v). Suppose -2 - 8 = 2*x. Sort x, 5, b. x, b, 5 Let z(r) = -r + 3. Let t be z(2). Suppose -8 = -3*i - i. Sort t, -3, i. -3, t, i Suppose -4*a - 6 = -0*a - 2*p, -2*p - 22 = 3*a. Let k be -3*1*5/(-105). Put a, -2, k in descending order. k, -2, a Let f = -27 + 28. Let v = 13 - 16. Put 2/3, f, v in ascending order. v, 2/3, f Let r be (-664)/(-28) + (-2)/(-7). Let l = r + -37. Put -1, l, 3 in increasing order. l, -1, 3 Let s(t) = -t**3 + 6*t**2 - 7*t + 10. Let y be (9/6 + -2)*-10. Let u be s(y). Let j(g) = -g**3 - 7*g**2 - 6*g - 3. Let v be j(-6). Sort 3, u, v. v, u, 3 Suppose -5*j + 4*j = 1. Let p be (j/3)/(2/12). Sort 2, 5, p in increasing order. p, 2, 5 Let w = -0.06 - 0.04. Let h(k) be the second derivative of k**4/12 + 7*k**3/6 + 3*k**2/2 + k. Let j be h(-6). Sort -4, w, j in decreasing order. w, j, -4 Let w = -13 + 15.1. Let n = 2.4 - w. Sort 0.4, -4, n in decreasing order. 0.4, n, -4 Let z = 40.4 - 26.7. Let y = -14 + z. Put -1, y, -7 in decreasing order. y, -1, -7 Let x(o) = o**2 - 10*o + 23. Let s be x(7). Put -4, 5, s in increasing order. -4, s, 5 Let j(z) = 9*z - 55. Let r be j(6). Let k be (3 + -2)/(1 + 0). Let s(t) = t**2 + t - 4. Let q be s(0). Sort r, q, k in ascending order. q, r, k Suppose 0 = 7*a - 8*a + 3. Sort 5, -4, a. -4, a, 5 Let s(f) = f**2 - 7*f + 6. Let y be s(6). Let d = 8 - 14. Let l = -5 - d. Put 1/3, l, y in decreasing order. l, 1/3, y Let h = -3 - -7. Let t(k) = 3*k + k**2 + 4 - 11*k + 3*k + 0*k**2. Let f be t(4). Put h, f, 5 in increasing order. f, h, 5 Let c = -2791/420 + 45/7. Let v = c + -1/180. Put 0, v, 0.3 in increasing order. v, 0, 0.3 Let l = 11 - 1. Suppose 3*u + l = -2*t + 2*u, u = 4*t + 8. Let c = 235 + -935/4. Sort -5, c, t. -5, t, c Let m = -2 + 0. Let j = 1.4 - 1.28. Let g = -0.62 + j. Sort g, 2/3, m in decreasing order. 2/3, g, m Suppose 15 = -u + 4*s, -3*u - 3*s = -5*s + 5. Put -1/7, u, -3/2 in ascending order. -3/2, -1/7, u Let o be (-2 - (-21)/6)*2. Suppose -o*a + 6*a = 0. Sort a, -1, 3. -1, a, 3 Suppose 2*w = -14*w - 64. Suppose -3*y + 15 = 3, 5*y = 4*d + 32. Sort 2, d, w in descending order. 2, d, w Suppose -4*j = -s + 11, 2*s = -2*s - 4. Let c = 1 + 1. Put 0, j, c in ascending order. j, 0, c Let f = -15 - -16. Suppose -8*j = -11*j. Sort j, 2, f in increasing order. j, f, 2 Suppose 4*m - 2*m - 18 = 0. Suppose -m = -i - 2*i. Sort 2, i, 4 in ascending order. 2, i, 4 Let l = -9 + 5. Let s = 5 + l. Put 1/5, -1/4, s in decreasing order. s, 1/5, -1/4 Let w = -1 - -8. Let n = -12 + 9. Sort w, n, 5 in ascending order. n, 5, w Let y be ((-4)/6)/((-4)/(-6)). Let n = -8 - -11. Let k be n/12 + y/(-28). Sort 5, k, 0 in ascending order. 0, k, 5 Let i be (-1)/1*12/3. Let k(n) = -n**3 - 7*n**2 - 2*n - 10. Let h be k(-7). Put i, 5, h in descending order. 5, h, i Let w = 14 + -10. Sort -4, w, 0.1. -4, 0.1, w Let d = -3.91 + -0.09. Let a = 1 - d. Put a, -5/3, 6/7 in increasing order. -5/3, 6/7, a Let f(m) = 0 + 0*m - 1 - m**2 + 3*m. Let t be f(3). Let k be (-9)/105 - (-6)/21. Sort 0.1, t, k in increasing order. t, 0.1, k Let u = 1.89 - -0.21. Let m = -0.2 + 0.3. Let o = u - m. Sort 2/11, -0.1, o in ascending order. -0.1, 2/11, o Let y be 2/(-28) + 4/8. Let w = 2/9 - 37/126. Let i = w - y. Put -4, 1/5, i in descending order. 1/5, i, -4 Let k = 27 - 26.5. Let g = -121.3 - -115. Let w = g - -1.3. Sort w, k, -3 in increasing order. w, -3, k Let x = -6.1 + 6. Put x, -4, -0.3 in ascending order. -4, -0.3, x Let z(g) = -g**3 + 8*g**2 + g - 5. Let n be z(8). Put 5, 2, -2, n in ascending order. -2, 2, n, 5 Suppose -6*y + 3 + 3 = 0. Suppose 0 = 5*u + z + 3*z - 3, 0 = u + 3*z + 6. Suppose -3*s + 10 = -5*f - 0*f, -3*s + u*f + 6 = 0. Sort s, y, -1 in ascending order. -1, s, y Let u = -36 - -35. Let m = -20 - -32. Suppose h - m = -3*h. Put 1, h, u in decreasing order. h, 1, u Suppose -7 = t - k, t - 5*k = -7 - 20. Let z be -2 - (0 + -1 + 0). Sort t, -5, z in descending order. z, t, -5 Let m = 13 + -9. Sort 0, m, -4 in descending order. m, 0, -4 Let m = -0.04 + 1.04. Let x = 1 - m. Put -1/2, x, -3 in decreasing order. x, -1/2, -3 Let c be -1 + (1 - (-1 + -18)). Let i = -14 + c. Sort 0, i, -1. -1, 0, i Let l = -21 + 18. Put 5, -1, l in decreasing order. 5, -1, l Suppose 0 = -5*u + u - 8. Suppose 2*g + 4 = 6*i - 10*i, -4*g = -2*i + 18. Sort u, i, 5. u, i, 5 Let p be (2/4)/((-6)/24). Sort p, -3, 21 in decreasing order. 21, p, -3 Suppose -2 + 5 = g. Let n = -3 - -7. Let d = n - 8. Put 0.3, g, d in ascending order. d, 0.3, g Let y be 1/(-2)*-4 + -2. Let c = 32 - 30. Put -3, y, c in decreasing order. c, y, -3 Let j be (-2)/7 + (-2)/14. Suppose -u + 0*t = 4*t + 19, -4*u = -2*t + 4. Let o be 1 + -1 + u - -6. Put j, -5, o in decreasing order. o, j, -5 Let g = -0.1 + 0.2. Let d = 55 + -163/3. Let t = -7/17 - -45/68. Sort t, g, d. g, t, d Suppose 3*m - 8*m = 3*f + 9, 2*f - 16 = 4*m. Let j be 32/(-24)*3/2. Put j, m, 0 in descending order. 0, j, m Suppose 32 = -5*b - 3. Let p = -6 - b. Put 3, p, 4 in descending order. 4, 3, p Let l be 2/(-5) + 259/35. Let r be 16/l - 4/14. Put 1, r, 5 in ascending order. 1, r, 5 Let t(s) = s**3 + s**2 - 4*s + 4. Let f be t(0). Sort -4, 5, f, 18 in ascending order. -4, f, 5, 18 Let f be (-3 + 3)*(-1)/(-2). Suppose -4*v + 5*n + 10 = f, 0 = 4*v + 2*n + 1 + 3. Suppose 0*q + 4*q - 16 = v. Put 0, -1, q in decreasing order. q, 0, -1 Suppose 21 = -p + 4*o, 2*p - 4*o + 24 + 10 = 0. Put -1, 1, p in ascending order. p, -1, 1 Let y be 2/21*(-18)/(-4)*-1. Sort 12, y, -0.5, 4 in ascending order. -0.5, y, 4, 12 Let j(x) = x**2 - 1. Let m be j(4). Suppose 0*g = 3*g + m. Let d = 4 + -5. Sort g, d, -0.3 in decreasing order. -0.3, d, g Let j = -4 + 1. Suppose 0 = 4*r - 4, -2*q + q + 2*r = 3. Sort q, j, -5 in descending order. q, j, -5 Let p = 1.2 + 3.8. Let x = -4.8 + p. Sort 0.7, x, -1 in descending order. 0.7, x, -1 Suppose 2*b - 33 = -5*t, 0*b - 4*t + 48 = 4*b. Suppose -b + 1 = -4*d. Suppose 21 - 9 = -4*i. Put d, 5, i in decreasing order. 5, d, i Let x = 13 - 8. Let p be (2/x)/((-4)/(-40)). Let l = -0.04 - 0.36. Put p, -7, l in decreasing order. p, l, -7 Let u(r) = r**3 - 5*r + 5. Let a be u(2). Put a, 13, 0, -2 in descending order. 13, a, 0, -2 Let f = -5/9 - -8/9. Sort 0.1, f, -3/5 in descending order. f, 0.1, -3/5 Let o = 7.3 - 2.3. Sort -3, o, -0.1. -3, -0.1, o Let i = -7 + 6.9. Let z = 0.8 - -2.2. Let x = z - 0. Put x, 0.3, i in ascending order. i, 0.3, x Let r be 32/(-48) + 3/45 + 0. Let h = 0.3 - 0.6. Put h, -2/15, r in ascending order. r, h, -2/15 Let s = 0.7 + -0.3. Sort s, 1, -5 in increasing order. -5, s, 1 Let q be 3 + 0 - (-2 + (-2 - -5)). Sort q, -0.2, -0.4. -0.4, -0.2, q Let q be (-1 - 0)/((-1)/(-2)). Let d(i) = -2*i - 2. Let r(l) = 3*l + 3. Let y(v) = -7*d(v) - 5*r(v). Let u be y(-3). Put -3, q, u in ascending order. -3, q, u Let w be (-2)/(-5) + 54/(-60). Let y = w - -1. Sort y, -2/9, 1 in decreasing order. 1, y, -2/9 Let v = 33 + -31. Sort v, -1, -0.5. -1, -0.5, v Let l(t) = -2*t**2 - 7*t + 4. Let b be l(-6). Put b, -1, 4 in descending order. 4, -1, b Let j = -13 - -21. Suppose -4*f + 3*i - j = -3*f, -4*f + 3*i - 5 = 0. Suppose -2*c + 2 = -q - 0, 3*q + 4 = 4*c. Put q, f, 2 in decreasing order. 2, f, q Suppose 0 = -4*t - 16 + 24. Let m = 19 + -19. Sort t, m, 4 in descending order. 4, t, m Let z(i) = 2*i + 6. Let t be z(-6). Let u = t + 6. Sort u, 1, -5 in ascending order. -5, u, 1 Let z = 7 - 2. Let x(t) = -5*t - 33. Let f be x(-6). Sort -5, f, z. -5, f, z Let l(d) = -4*d + 79. Let v be l(21). Put v, 75, 0 in decreasing order. 75, 0, v Let w(y) = 2*y**3 - 16*y**2 + 3*y - 26. Let m be w(8). Suppose -l = -3*d + 10 + 5, -5*d = -25. Sort l, 1, m in decreasing order. 1, l, m Let y = -148 - -138. Sort 1, -3, y in decreasing order. 1, -3, y Suppose -s = -5*u + 3*u - 5, -4*s = 3*u + 2. Suppose 2*p + 3*n = 3, 2*p - 16 = -2*p + 4*n. Sort -4, u, p in descending order. p, u, -4 Suppose 0 = 4*d - 9*d + 25. Sort d, 4, -5. -5, 4, d Let w(d) = -2*d**2 + 3*d + 3. Let n be w(3). Let x be (-2 - ((-16)/12 + -1))*-15. Sort 1, n, x in descending order. 1, x, n Suppose -3*s - 3*v = -v - 2, 4*v - 4 = -5*s. Put s, 0.4, 4/5 in decreasing order. 4/5, 0.4, s Suppose 0 = 2*y + 5*n - 6, 10 = -0*y - 2*y + 3*n. Let c = y + 5. Let u be (c + 4)*(-4)/(-14). Put u, 3,
{ "pile_set_name": "DM Mathematics" }
+ 4*w + 3 - 208. What is the remainder when f is divided by 20? 11 Let x(a) = a**3 - 5*a**2 - 8*a + 13. Let m be x(6). Let j be -7 - 5/10*(-6)/m. What is the remainder when 10 is divided by j/(4 - 8)*5? 0 Let f(z) = z**3 + 43*z**2 + 84*z + 312. Calculate the remainder when f(-40) is divided by 9. 6 Suppose -215204 = -60*v + 7*v - 14*v. Calculate the remainder when v is divided by 17. 16 Let l(z) = 10*z**3 + z. Let k be l(-1). Let q = 19 - k. Calculate the remainder when q is divided by 323/57 + -1 - ((-16)/(-6) - 2). 2 Suppose 12*z = 24*z - 6996. What is the remainder when z is divided by 5? 3 Let l(u) = -2098*u + 665. What is the remainder when l(-2) is divided by 128? 125 Suppose -21*i + 208 = -25*i. Let o = i + 89. Calculate the remainder when o is divided by 8. 5 Suppose i + 11*a = 9*a + 361, -3*a = 3*i - 1068. Calculate the remainder when i is divided by 32. 31 Suppose -5*o + 193 = -3*u, 0 = -3*o + u + 105 + 10. Suppose 2*g = 2*f - o, 5*f = 3*g + 51 + 36. Calculate the remainder when 56 is divided by f. 11 Suppose -3*p + 1122 = 177. What is the remainder when p is divided by 10/(-4)*36/(-345)*23? 3 Suppose 0 = q + 6. Let c be 16/10 + q/(-15). What is the remainder when 28 is divided by (1/c)/((-12)/(-360))? 13 Let h be (-1848)/(-105) + 2/5. Suppose -54 - 684 = -h*p. Let f(s) = 2*s**3 + 6*s + 4. What is the remainder when f(5) is divided by p? 38 Let n = -601 + 969. What is the remainder when 221 is divided by (n/2)/((-16 - -5) + 13)? 37 Let w be 112/18 + 2/(-9). Let k(g) = -10*g + 86. What is the remainder when 233 is divided by k(w)? 25 Suppose -8 - 10 = -26*b + 320. Let n(k) = k**3 + k**2 - k + 4. Calculate the remainder when n(3) is divided by b. 11 Let g = 22796 - 22628. Calculate the remainder when 178 is divided by g. 10 Suppose 5*l + 3 = 93. Suppose -l = -b + 2. What is the remainder when 58 is divided by b? 18 Suppose 3*d - 2*t = 57, 0 = -d - 2*t - 5 + 16. Let n(s) = -26*s + 3. What is the remainder when n(-1) is divided by d? 12 Suppose 5*c + 5*t = -775, -3*c = 4*t - 37 + 500. Let h = c + 169. What is the remainder when 71 is divided by h? 11 Let y be (-2)/6 - (-254)/6. Suppose -y*p + 41*p = -22. What is the remainder when (15/(-5) + 29)/((-1)/(-5)) is divided by p? 20 Let v = -3435 + 3535. Calculate the remainder when v is divided by 88. 12 Suppose -2*u - 3*u = -3*r + 257, 0 = 2*r - u - 162. Suppose 24*q - 641 = 1087. Let w = r - q. Calculate the remainder when 32 is divided by w. 4 Suppose 6*l - 14 = 10. Suppose l*f - 2*r - 196 = 0, -5*f + 5*r = 2*r - 243. What is the remainder when f is divided by 9? 6 Let m = -13421 + 13459. What is the remainder when 1630 is divided by m? 34 Let n(s) be the first derivative of -713*s**2/2 - 17*s + 27. Let v be n(-4). Calculate the remainder when v/28 - 2/8 is divided by 15. 11 Let v = -487 - -180. Let t = 340 + v. Calculate the remainder when 56 is divided by t. 23 Let s(v) = -v**3 + 30*v**2 + 65*v + 514. What is the remainder when s(32) is divided by 20? 6 Suppose -4*l + 94 = 3*z, -3*z + 3*l = -6*z + 90. Calculate the remainder when -3 - (7/((-70)/(-12)))/(6/(-465)) is divided by z. 12 Suppose 20*r - 25 = 15. Suppose r*u - 15 = -w - 2*w, 9 = 3*w + 4*u. Let d = 13 + 0. What is the remainder when d is divided by w? 6 Let y(r) = -94*r - 1523. What is the remainder when y(-82) is divided by 68? 65 Let j = -1660 - -1762. Let l be (-2)/12 - (-1)/6. Suppose l*g = 2*g - 70. What is the remainder when j is divided by g? 32 Let m(g) be the first derivative of 3*g**2/2 + 38*g - 6. Let f be m(-9). Suppose -95 = 6*h - f*h. Calculate the remainder when 71 is divided by h. 14 Suppose -480*t - 1920 = -475*t. Let b = t - -392. What is the remainder when 396 is divided by b? 4 Let z = 606 - 963. Let g = 402 + z. Calculate the remainder when 673 is divided by g. 43 Let s = 561 - 420. Calculate the remainder when 194 is divided by s. 53 Let v(j) = -31*j - 2428. Calculate the remainder when v(-93) is divided by 66. 59 Suppose -h = -3*i + 114, -32*i + 72 = -30*i - 2*h. Suppose -2*u = s - 23, -2*s + 7*u = 4*u - i. Calculate the remainder when s is divided by 12. 9 Let t(k) = -k**3 + 53*k**2 - 278*k - 122. Calculate the remainder when 183 - 1 - (-3)/1 is divided by t(47). 53 Let s be (3 + -7)*(-2 - -1). Let a(x) = 2*x**2 - 2*x - 3. Let j be a(s). What is the remainder when 25 is divided by j/(2/((-16)/(-12)))? 11 Let z(n) = 25*n + 205. What is the remainder when z(-6) is divided by (-5 + 3)/(4/(-14))? 6 Suppose 148 = 11*q - 108 - 41. What is the remainder when 1565 is divided by q? 26 Let a = 29 - 1. Let o(u) = 95*u - 1134. Calculate the remainder when a is divided by o(12). 4 What is the remainder when -17 + (25 - -1851) - (-2)/(2/9) is divided by 99? 86 Let w(o) = -o**3 + 141*o + 13. Let r be (15/5)/((-9)/(-39)). Let a = 23 - r. Calculate the remainder when w(-12) is divided by a. 9 Suppose 108*a - 75 = 107*a. What is the remainder when a is divided by ((-155)/1)/(-5) - -3? 7 Suppose 17*w - 1221 = w + 2987. Calculate the remainder when 4469 is divided by w. 261 Let x = 124 + -124. Let a be x/5 + 4 - 46*-2. Calculate the remainder when 34 is divided by (-23)/(-3) + a/72. 7 Let y = 885927 - 885643. Let h(o) = -16*o**3 + o**2 + o. What is the remainder when y is divided by h(-1)? 12 Let y(k) = k**2 - 25*k + 228. What is the remainder when y(9) is divided by 13? 6 Suppose 25 = -2*k - 5*g, -2*k + 5 = -0*k - g. Suppose 5*x + 5*n = 680, 4*n + k*n - 266 = -2*x. Calculate the remainder when x is divided by 10. 9 Suppose 0 = 5*w - 3*q - 12148, -52*w - 9713 = -56*w - 3*q. What is the remainder when w is divided by 10? 9 Let r(d) = -218*d - 489. What is the remainder when r(-3) is divided by 114? 51 Suppose 6*b + 56 + 4 = 0. Let l(i) = -3*i - 15. Calculate the remainder when 36 is divided by l(b). 6 Let i(d) = -d**2 - 9*d - 16. Let u be i(-6). Suppose 2*f - 104 = -u*f. Suppose 0 = -4*p + f + 6. Calculate the remainder when 27 is divided by p. 3 Suppose 0 = -l - l + 128. Suppose -4*g + 216 = -4*p, -5*p = -g + l - 6. Calculate the remainder when g is divided by (-4)/(-10) - (-2812)/370. 5 Let n(k) = 3*k**2. Let u be n(-1). Suppose -u*y + 10080 = 2*y. What is the remainder when y/35 + (-4)/(-10) is divided by 12? 10 Let j(h) = -6*h**2 - 7*h - 13. Let y be j(7). Let n = y - -450. Calculate the remainder when 465 is divided by n. 89 Suppose 3*j = 5*h + 3543, -41*h + 6 = -40*h. What is the remainder when j is divided by 595? 1 Suppose 16*a = 17*a - 4, 0 = -4*w + 4*a + 360. What is the remainder when 468 is divided by w? 92 Let l(n) = 2*n**2 + 9*n - 7. Calculate the remainder when 186 is divided by l(-8). 39 Suppose -41*m + 5403 = -19*m + 1201. What is the remainder when m is divided by 82? 27 Calculate the remainder when (4*(-308)/336)/(2/(-1308)) is divided by 478. 8 Suppose -4*k = l - 356, -2*l - 7*k + 703 = -2*k. Let p = 382 - l. Calculate the remainder when 134 is divided by p. 20 Suppose 0*j + 6*j = -1908. Let k = -304 - j. What is the remainder when 613 is divided by k? 11 Suppose -4*r + 113 = o, -5*r + 8*o + 54 + 78 = 0. Suppose 5*v - 183 = 757. What is the remainder when v is divided by r? 20 Suppose -z + 29 = 16. Let x be -3 - -2 - z/(-13). Suppose x = f - 5*f + 108. What is the remainder when 104 is divided by f? 23 Suppose 0*n + 102 = 3*n + 4*r, -3*n + r = -117. Suppose 475 = 48*l + 34*l - 99. What is the remainder when n is divided by l? 3 Let l(i) = 3*i**2 + 9*i - 73. What is the remainder when l(11) is divided by 98? 95 Let j = -41 + 44. Suppose -10 = j*i - 5*t, -2*i + 2*t = 3*t - 15. Suppose -15 = -i*n + 105. Calculate the remainder when n is divided by 9. 6 Let i be ((-9)/(-2))/((-4)/(32/3)). Let p be 7/(28/i)*-1. Suppose -k + 5 + 11 = 5*a, 0 = p*k - 2*a - 65. Calculate the remainder when 82 is divided by k. 19 What is the remainder when 232 is divided by (-110)/66*(-96)/10? 8 Suppose -1089*d + 544*d = -555*d + 1520. Calculate the remainder when 384 is divided by d. 80 Let p(m) = m**2 + 18*m - 16. Suppose 0 = 35*o + 1081 - 416. What is the remainder when 14 is divided by p(o)? 2 Let l(y) = -3*y - 3. Suppose 5*u = 2*h - 71, 2*h + u - 59 = 2*u. Suppose q = h - 21. What is the remainder when l(-4) is divided by q? 2 Suppose -l + 95 = 4*s - 6, -3*s + 72 = -3*l. Let t = 38 + -73. Let y = t - -42. Calculate the rem
{ "pile_set_name": "DM Mathematics" }
63*i + 2*n + 58 for i. 8 Solve 4*r = 3*s - 18, -18 = 9*s - 5*r - 51 for s. 2 Solve 2*q = n + 10, 17*n = 7*n + 16*n + 24 for q. 3 Solve 34*k = 2*v + 112, -13*k + 4*v + 17 = -14*k for k. 3 Solve -59*w + 3*k - 9 = -62*w, w - 9 = 2*k for w. 5 Solve -y + 12 = 3*m, 854*y = 857*y + 5*m - 24 for y. 3 Solve -4*b = -2*g - 16, 4*g - 533 = -2*b - 505 for g. 4 Solve -18 = -4*v + u + 1, -3*v + 88 - 67 = -3*u for v. 4 Solve 367*h - 366*h + 5 = -2*w, 4*w - 3 = -h for h. -13 Solve 5*t - 37 = -4*y, -625*t = -y - 628*t + 18 for y. 3 Solve -u + 4*r + 5 = 13, -4 = -51*r - 4 for u. -8 Solve -21 = -193*j + 195*j - 5*m, 2 = -4*j + 2*m for j. 2 Solve -4*k - 3*g + 29 = 0, -2*g + 13 - 15 = 0 for k. 8 Solve -2*o + 764*m = 765*m - 21, m - 13 = 0 for o. 4 Solve 3*m = -2*d - 14, -2128 = 5*m + 2*d - 2106 for m. -4 Solve 4*v = 3*z - 6, -140*z - 4 = -2*v - 135*z for v. -3 Solve 4*r = -6472*f + 6467*f - 97, -2*r + 8*f + 4 = 0 for r. -18 Solve -2*f - 22 = 5*l, 26528*l - 26530*l = 2*f + 10 for l. -4 Solve -61*c = -51*c - 5*v - 245, 0 = -4*c - 3*v + 113 for c. 26 Solve 0 = 5*w - 3*m + 3, -10*w = -7*w + 5*m - 5 for w. 0 Solve 2*j - 4 = -2*p, -p + 2 = -19524*j + 19519*j for j. 0 Solve -3*l - 33*b + 32*b - 6 = 0, -5*l + 2*b + 1 = 0 for l. -1 Solve -7*t - 1715 + 1631 = -3*q, -3*t = 20 + 16 for q. 0 Solve -2 = -a + 4, -67*y - 9*a = -17*y - 7*a - 262 for y. 5 Solve -3*a - 15 = -5*f, 0 = 171*f - 170*f - 5*a - 3 for f. 3 Solve -5*r = -7*v + 34, 129*r = 127*r + 2*v - 12 for r. -4 Solve 5*v - 1584 = -3*b - 1581, -5*b - 23*v + 5 = 0 for b. 1 Solve -5*u - 35 = -5*m, 10 = m - 50314*u + 50310*u for m. 6 Solve 5*d + b = -5, 2*b = 4*d - 114 + 104 for d. 0 Solve 0 = 465*j - 470*j + 5, -1 = c - 3*j for c. 2 Solve -n + 2*b = -7, 4*n - 2*b - 363 + 347 = 0 for n. 3 Solve -2*r + 11*a + 48 = 0, 33 = r - 4*a + 15 for r. 2 Solve -3*h - 5 = 106*u - 104*u, 5*h = 2*u + 29 for h. 3 Solve 4*l + 4*f + 20 = 0, 0 = -4*l + 27*f - 32*f - 30 for l. 5 Solve -538 = -6*v + 3*f - 502, 0 = -2*v - 20*f + 12 for v. 6 Solve 3*x + 9 = 0, 4*x - 17 = 4*c - 29 for c. 0 Solve 93 = -4*a + z + 52, 0 = 2*a + 5*z + 15 for a. -10 Solve -15*b + 18*b = -5*s - 20, -2*s = -5*b - 23 for b. -5 Solve 16*j = 17*j - 5*a + 14, -143*j - 3*a = -141*j + 2 for j. -4 Solve -3*i - 8 = h, -4*h = 5*i + 33 - 29 for i. -4 Solve -30*p + 0 = -28*p - 10, -3*j + 38*p - 196 = 0 for j. -2 Solve 3*v - 2*m = 11*m + 31, v + 3*m = 7*m + 10 for v. 6 Solve 11*c - l + 62 = 0, 87*c - 90*c - 5*l - 38 = 0 for c. -6 Solve 5*c - 105*s - 75 = -94*s, -c - 21 = 5*s for c. 4 Solve -3*u - 6*q - 21 = 0, 7*u = 4*u - 5*q - 18 for u. -1 Solve -k + 5*f = -31, -8*k + 85*f = 89*f + 60 for k. -4 Solve -2*a - 1120 + 1126 = -3*i, -3*i + a = 6 for i. -2 Solve 80*w + 37 = 84*w + 5*s, 5*w - 10 = s for w. 3 Solve 2*g - 5 = -2*v - g, 3 = 36*g - 33*g for v. 1 Solve m + 21 = 7*a, 2*m - 4*m - 18 = -2*a for a. 2 Solve -t = -5*t - 2*s + 52, 0 = -3*t - 5*s + 32 for t. 14 Solve 4*l - 704*w + 705*w - 15 = 0, 0 = 5*l + 4*w - 71 for l. -1 Solve 5*y + 5*w + 105 = 0, -22*y + 23*y = w - 15 for y. -18 Solve 27*m = -h + 29*m + 2*m - 1, -4*h + 2*m - 4 = 0 for h. -1 Solve 3*f = p + 5, 1527*p - 1530*p + 24 = 4*f for f. 3 Solve -56*g + 52*g + 38 = 2*w, g = 5*w - 106 for g. -1 Solve -5*s = 20, 12*v - 69 = 10*v + 31*s + 67 for v. 6 Solve 5*m = -7*x - 66, 35*m - 3 = 4*x + 34*m for x. -3 Solve v - 2 = o, -2*o - 5*v - 5*v = -20 for o. 0 Solve -3*l + 3 = 4*k, k + 78*l = 76*l - 3 for k. 3 Solve -23 = 3*f - 5*g, g + 62 = 66 for f. -1 Solve -4*n + 2*n = -6*n - 5*w - 68, 2*w = 0 for n. -17 Solve -r - 5*v = 25, -13*r + 2*v + 1 + 3 + 6 = 0 for r. 0 Solve 4902*l = 4897*l - 4*v + 40, -60 = -12*v for l. 4 Solve 0 = 5*u + 9*h + 2*h - 9*h, -3*h = 5*u - 5 for u. -2 Solve -3*u = -2*p + 14, 2*u - 68 = -2*p - 74 for u. -4 Solve -5*a - 7 = -x, 2554*a + 10 = 2554*a + 5*x for a. -1 Solve 5*q - 2*g = 42, 3*q + 3*g + 6 = -15 for q. 4 Solve 2*q = -16175*m + 16163*m - 20, 5*m = 5*q - 20 for m. -2 Solve -5*a + 2*g + 7 = 0, 75*g = 71*g - 4 for a. 1 Solve -19*i + 12 = 3*s - 14*i + 2*i, s - 4 = -2*i for s. 4 Solve 39 = 3*d - 5*c, -2*d + 4*c - 198 = -224 for d. 13 Solve -5*n + 5 = 0, 12*n = 5*w - w - 44*n + 52 for w. 1 Solve 0 = -y - 178*h + 174*h + 3, 24 = 12*h for y. -5 Solve -o + 15 - 3 = -2*d, -5*o + 215860 = -2*d + 215848 for o. 0 Solve -u + 9 = t, -3*t + 259 = 2*u + 236 for u. 4 Solve 5*o + 21*o + 3*n = 15, o - 3*n = -15 for o. 0 Solve -2*i + 24 = -10*w - 28, 5*i - 30 = 0 for w. -4 Solve -s - 5 = p, 1226*s = 1229*s + 2*p + 7 for s. 3 Solve -3*h - 5*q + 11 = 0, 3*q + 21 - 2 = 11*h for h. 2 Solve -12*u = -0*t + 2*t - 50, -13 = -3*u - t for u. 4 Solve -a + 3*n - 13 = 0, -2*a - 257*n + 283*n = 126 for a. 2 Solve w + 3*k = 20, 0 = -2060*w + 2056*w + k + 15 for w. 5 Solve -a = z - 12, 0 = 6*a - 2*z + 618 - 650 for a. 7 Solve 12 = -3*t + 4*p - 3, -24*p + 20*p = 0 for t. -5 Solve -27*x = -27, 10 + 3 = -4*p - 3*x + 4 for p. -3 Solve -2*s + 2*q - 2155 = -2135, 0 = -3*s + q - 20 for s. -5 Solve 33 = 3*s + 2*s - 4*c, 2*s - 2*c = -7*c for s. 5 Solve 6 = 2*q, 2*p + 170*q = 165*q - 19 - 14 for p. -24 Solve 3*r + 4*f + 17 = -4, 0 = -3*r + 2*f + 15 for r. 1 Solve 4*m - 20 = 41*g - 97*g + 51*g, 0 = 5*g for m. 5 Solve -5*f - 787*q + 788*q + 22 = 0, 3*f - 2*q = 9 for f. 5 Solve 0 = -2*f + 2*u + 6, -3*f = 5*u - 15 - 2 for f. 4 Solve -4*x - 31 = d - 17, -17 = 3*x + 4*d for x. -3 Solve -2*n = -3*k + 1, 313*n = 315*n + 4 for k. -1 Solve 0 = 4*d + 2*y + 18, 0 = -2*d + 2*y - 9405 + 9393 for d. -5 Solve -44*u - 5*x - 9 = -40*u, 4*x - 30 = 3*u for u. -6 Solve 5*d + 20*s - 19 = 18*s, 0 = -2*d + 6*s + 28 for d. 5 Solve -l + 88*s + 25 = 93*s, -2*s = 5*l - 33 for l. 5 Solve -7 = -4*r - k, 4*r - 764*k + 761*k + 5 = 0 for r. 1 Solve -5*j - 4*b = 612 - 586, 0 = j - b - 2 for j. -2 Solve -3*l + 3*r = 21, 4*l - 39 = -7*r - 34 for l. -4 Solve -5*s + 2*y = -17, -3*s - 134*y + 132*y = -23 for s. 5 Solve 55 = -53*i + 48*i + 5*z, 5*i + 41 = 3*z for i. -4 Solve -1795*g + 1791*g + 2*z = 0, 0 = 5*g - 5*z + 5 for g. 1 Solve -79*i = -74*i + 7*j - 39, i + j = 5 for i. -2 Solve -2*u = 5*y - 64, -2*y + 3 + 25 = 2*u for y. 12 Solve 0 = -r + 3*v - 41, -4*r + 28*v - 30*v - 108 = 0 for r. -29 Solve -c - 21 = 5*z, -3*z + 1463 - 1498 = -5*c for c. 4 Solve 0 = 679*r - 683*r + 5*x - 24, -3*r + 5 = 2*x for r. -1 Solve -2*g + 3*c = -9, 205 = g + 5*c + 220 for g. 0 Solve 3*f - r - 34 = 0, 318*r - 234 = -25*f + 314*r for f. 10 Solve -4*j - x + 27 = 0, j - 741*x = -738*x - 16 for j. 5 Solve 3*c + 150 = -13*m, 11*m = 9*m - 24 for c. 2 Solve -188*i - 25 = -h - 184*i, -14*i + 16*i = -23*i - 175 for h. -3 Solve -324*s - 22 = -327*s - 4*c, 2 = s - 4*c for s. 6 Solve 4*i + 437 - 443 = z, 18 = 5*z + 4*i for z. 2 Solve 3*v = 2*u + 32, -6 = 12*u + 5*v + 2 for u. -4 Solve -72 = 5*a + o, -1109 = -3*a - 5*o - 1139 for a. -15 Solve 7187*m - 20 = 7191*m - 4*i, -5*m + 3*i = 35 for m. -10 Solve -19 = -p - 33*t + 30*t, 5*p + 3*t = 35 for p. 4 Solve 3*u + 13 = -2*m, 4*u - 967 + 977 = m for m. -2 Solve -40 = 4*u + 3*o - 31, -4*u = -3*o + 15 for u. -3 Solve -19*q + 21*q + 3*r = -4, 2*q + 5*r + 4 = 0 for q. -2 Solve 4*k = 16, 8 + 0 = 5*s + 2*k for s. 0 Solve 2*z + 4 = -k, 5*k - z = 6 - 4 for k. 0 Solve 3*a = -5*k - 9, 5*a = 128*k - 126*k - 15 for a. -3 Solve -2*f - 3*g = 22, 3*f - 2*f = 2*g + 3 for f. -5 Solve -3*v + 2*x - 1 = 4*x, 0 = -2*x + 8 for v. -3 Solve -y = 6*x + 27, -135*x + 138*x - y = -18 for x. -5 Solve 3*r + 5*g = -4, 7*g = -5*r + 2*g for r. 2 Solve k - 4 = 0, -w - 2*k - 74 = -77 for w. -5 Solve -14*a + s = -0*s - 75, -30*a + 26*a + 45 = -5*s for a. 5 Solve b + 9 = 4*c, 2*c + 9*b = 4*b - 23 for c. 1 Solve 5*y - 4*i + 311 = 341, -5 = -5*y - i for y. 2 Solve 5*b = 2*k + 37, 60*b + 2*k - 999 = -451 for b. 9 Solve z - 20 = -4*k, -5*z + 58 = 4*k + 22 for z. 4 Solve 0 = -22*g + 14*g - 5*t - 137, -4*g = 5*t + 81 for g. -14 Solve -g - 12*u + 7 = -14*u, -3*g - u - 7 = 0 for g. -1 Solve 7*f - 37 = 4*f + 4*h, 0 = 4*f + h - 5 for f. 3 Solve 79*q - 2*o = 77*q - 6, 25 = 5*o for q. 2 Solve -5*f + 1 + 5 = 1, -3*k + 14 = -f for k. 5 Solve -4*m - 4*v = m + 11, 5*v = 5*m + 20 for m. -3 Solve -5*f - 13 = -f + k, 0 = 5*k + 25 for f. -2 Solve -3*v = 2*k, 0 = 2*k + 2*v - 1 + 5 for k. -6 Solve -4*m + 616 - 609 = -j, 2*j - 2*m - 4 = 0 for j. 5 Solve 4*n = 5*o - 29, 23 = -4*n - 516*o + 515*o for n. -6 Solve -3615*n + 3620*n +
{ "pile_set_name": "DM Mathematics" }