Factor -5/3*m**2 - 1/6*m**3 - 17/6*m - 4/3.
-(m + 1)**2*(m + 8)/6
Let q = 16/9 + 0. Solve 40/9*v + 4*v**2 + 2/9*v**4 + q + 14/9*v**3 = 0.
-2, -1
Let t(u) = -u**3 + 8*u**2 - 8*u + 15. Let f be t(7). Let r be 27/30 + (0 - f/20). Suppose x - x**3 + r - 1/2*x**2 = 0. What is x?
-1, -1/2, 1
Suppose 71*c - 70*c = 4. Let a(k) be the second derivative of -k**2 - 1/54*k**c + 2/9*k**3 + 0 + 6*k. Factor a(b).
-2*(b - 3)**2/9
Let p(b) be the second derivative of b**4/15 + 16*b**3/15 - 18*b**2/5 - 185*b. Factor p(w).
4*(w - 1)*(w + 9)/5
Suppose -4*w + 8*q = 11*q, -14 = 2*w + 5*q. Let r(m) be the second derivative of 1/6*m**w + 0 + 1/28*m**5 + 1/210*m**6 + 3/28*m**4 - m + 1/7*m**2. Factor r(h).
(h + 1)**3*(h + 2)/7
Factor -86 - 6*c**3 - 3*c**4 + 86.
-3*c**3*(c + 2)
Factor 101 + 2*v**3 + 3*v**3 + 2*v - 42*v**2 + 43 - 107*v - 2*v**3.
3*(v - 16)*(v - 1)*(v + 3)
Let y(w) be the first derivative of -2/5*w**2 + 29 - 1/15*w**3 + 12/5*w. Let y(h) = 0. Calculate h.
-6, 2
Let n(i) be the third derivative of -i**6/420 - 17*i**5/210 - 31*i**4/84 - 5*i**3/7 - 118*i**2 + 2*i. Factor n(f).
-2*(f + 1)**2*(f + 15)/7
Let i be (-42)/(-84)*(-4)/2 - -3. Factor 10*t**i + 7/3*t**3 + 2 + 29/3*t.
(t + 1)*(t + 3)*(7*t + 2)/3
Factor 4 + 8*m**2 + m**2 + 26*m**2 - 6*m**3 - 5*m**3 - 28*m.
-(m - 2)*(m - 1)*(11*m - 2)
Let w(x) be the second derivative of -1/3*x**2 - 1/3*x**3 - 3*x + 1/20*x**6 + 7/72*x**4 + 0 + 1/5*x**5. Determine p, given that w(p) = 0.
-2, -1, -1/3, 2/3
Let r(k) = 7*k**2 - 21*k + 32. Let y(c) = 20*c**2 - 64*c + 96. Let q(h) = -8*r(h) + 3*y(h). Factor q(w).
4*(w - 4)*(w - 2)
Let a be (-24 - -29)*12/1. Suppose 0 = 8*y + 4*y - a. Let 0*j + 0 - 3/2*j**2 - 3/2*j**y + 3/2*j**4 + 3/2*j**3 = 0. What is j?
-1, 0, 1
Let s(l) be the third derivative of -50/21*l**3 - 11/420*l**6 - 55/42*l**4 - 47/140*l**5 - 1/1470*l**7 + 36*l**2 + 0 + 0*l. Factor s(c).
-(c + 1)**2*(c + 10)**2/7
Let v(q) = -5*q**5 + 18*q**4 - 25*q**3 + 10*q**2 - 2. Let t(d) = -d**4 - 1. Let g(a) = -2*t(a) + v(a). Solve g(s) = 0.
0, 1, 2
Let -280 - 97*f**3 - 272*f**2 - 213*f + 769*f + 93*f**3 = 0. What is f?
-70, 1
Let o = 5759 - 40291/7. Let -o*h - 4*h**2 - 12/7*h**3 + 2/7*h**4 + 2/7*h**5 - 6/7 = 0. What is h?
-1, 3
Let z(o) = o**3 + o**2 + 1. Let f be z(-2). Let v be ((-4)/f)/((-10)/(-15)). Solve -2*g**2 + 2*g**3 - 9*g**3 - g**3 + 8*g + 0*g**3 + v = 0.
-1, -1/4, 1
Let x(k) be the first derivative of -2*k**3/15 + 44*k**2/5 - 968*k/5 + 71. Factor x(u).
-2*(u - 22)**2/5
Let f(l) = 3*l**3 + 195*l**2 - 3465*l + 3255. Let a(d) = d**3 - d**2 - 2. Let s(q) = -6*a(q) + f(q). Factor s(n).
-3*(n - 33)**2*(n - 1)
Let t = -1282/693 + 128/63. Let j be 1/(-2) + (-45)/(-66). Suppose -j*l**3 + t + 2/11*l - 2/11*l**2 = 0. What is l?
-1, 1
Let n be -12 + (-186)/(-27) - -6. Factor 4/3*m + 0*m**2 - n - 4/9*m**3.
-4*(m - 1)**2*(m + 2)/9
Let i(u) = -4*u**2 - 78*u + 882. Let y(q) = 3*q**2 + 79*q - 882. Let n(g) = 5*i(g) + 6*y(g). Factor n(o).
-2*(o - 21)**2
Let r be (3/(-2) - (-2)/4)*-2. Factor -3*p - r + 4*p - 11*p**2 + 12*p.
-(p - 1)*(11*p - 2)
Let r(v) = -5*v**5 + 45*v**4 - 45*v**3 - 9*v**2 + 30*v + 8. Let t(f) = f**5 - 2*f**4 - f - 1. Let p(y) = 3*r(y) + 24*t(y). Determine u, given that p(u) = 0.
-11, -2/3, 0, 1
Suppose 0*z**2 + 2*z**4 + 7/4*z**3 + 0 + 0*z + 1/4*z**5 = 0. Calculate z.
-7, -1, 0
Suppose 0 = 5*b, 0 = -4*r - 2*b + 5*b + 12. Suppose r*q = -0*q. Suppose -5 + q - 2*d - d**2 + 3*d**2 + 1 = 0. What is d?
-1, 2
Let s(t) = -t**3 + 4*t**2 - 3*t + 4. Let c(n) = -6*n**3 + 22*n**2 - 15*n + 21. Let m(g) = -2*c(g) + 11*s(g). Solve m(j) = 0.
-2, 1
Let j be (-13)/78 + ((-4301)/330 - -14). Factor 484/5 + 88/5*z + j*z**2.
4*(z + 11)**2/5
Factor 918*n**2 + 26*n**3 + 19652 + 1/4*n**4 + 11560*n.
(n + 2)*(n + 34)**3/4
Let v be 2*1/(-2) - (-8396)/20. Let m = v + -416. Let -46/5*y**4 + 0 - 54/5*y**3 - m*y**5 - 4/5*y - 26/5*y**2 = 0. What is y?
-1, -2/7, 0
Suppose 4/5*f**5 - 8/5*f + 2*f**4 - 8/5*f**2 + 4/5*f**3 - 2/5 = 0. What is f?
-1, -1/2, 1
Let p be -1*6*216/16. Let t = -79 - p. Suppose 2/7*w + 2/7*w**t - 4/7 = 0. Calculate w.
-2, 1
Let k(p) be the first derivative of -p**5/60 + p**4/8 - 2*p**2 - 1. Let b(r) be the second derivative of k(r). Factor b(u).
-u*(u - 3)
Let g(a) be the third derivative of 637*a**6/160 - 441*a**5/80 - 6*a**4 - a**3/2 + 402*a**2. Let g(k) = 0. What is k?
-2/7, -2/91, 1
What is s in 0 - 1/8*s**2 + 5/4*s = 0?
0, 10
Let f(i) be the third derivative of i**6/1440 + i**5/240 + i**4/96 + i**3 - 15*i**2. Let t(a) be the first derivative of f(a). Solve t(s) = 0 for s.
-1
Let k(z) = 5*z**2 + 16*z - 29. Let j(r) = -5*r**2 - 17*r + 28. Suppose 17 = 4*f + 1. Let x(p) = f*j(p) + 3*k(p). What is c in x(c) = 0?
-5, 1
Let p be (-52)/(-14) - 4 - (-576)/7. Let r = 86 - p. Factor 18*n**2 + 9*n**3 + 0 + 3/2*n**r + 12*n.
3*n*(n + 2)**3/2
Factor 1000 - 14*c**2 + 2*c**3 - 300*c + 44*c**2 - 7*c**3 + 4*c**3.
-(c - 10)**3
Let a(k) = -k**3 + 2*k**2 + 11*k - 10. Let q be a(4). Find z, given that 30*z**5 - 6*z**q + 9*z**3 - 67*z**5 + 34*z**5 = 0.
-2, 0, 1
Factor 345*a + 14*a**3 + 25*a**5 - 20*a**5 + 85 + 530*a**2 + 105*a**4 + 356*a**3.
5*(a + 1)**4*(a + 17)
Let u(y) = 5*y**2 + 116*y - 109. Let r(a) = -a - 1. Let h(i) = 6*r(i) + u(i). Solve h(v) = 0 for v.
-23, 1
Factor -125*w**3 + w**2 - 2*w**4 + 117*w**3 + 9*w**2.
-2*w**2*(w - 1)*(w + 5)
Let h(k) be the second derivative of k**6/120 - k**5/90 - k**4/72 - 6*k**2 + 6*k. Let o(n) be the first derivative of h(n). Factor o(b).
b*(b - 1)*(3*b + 1)/3
Suppose 0 = 5*j - 122 - 68. Suppose -3 = 5*c - j. Factor c*y**4 + 10*y**3 + 3*y**2 + 7*y**4 - 7*y**2.
2*y**2*(y + 1)*(7*y - 2)
Let i = 5 - -141. Let d = 148 - i. Factor 0*v + 1/4*v**d - 1/4.
(v - 1)*(v + 1)/4
Let s be 12*4/32*2/12. Suppose -s*c**2 + 1/2 - 1/4*c = 0. What is c?
-2, 1
Let y(q) be the third derivative of 2*q**7/105 + 2*q**6/15 + q**5/5 - 2*q**4/3 - 8*q**3/3 - 546*q**2. Suppose y(i) = 0. Calculate i.
-2, -1, 1
Let u(o) = -2*o**4 - 34*o**3 + 6*o**2 + 109*o + 83. Let r(v) = 4*v**4 + 70*v**3 - 12*v**2 - 223*v - 165. Let g(m) = 3*r(m) + 5*u(m). Factor g(q).
2*(q - 2)*(q + 1)**2*(q + 20)
Let l be ((-1 - -1) + -1)*8. Let m be ((-2)/3 - 1)*l/60. Suppose -m*c**2 + 0*c + 0 = 0. What is c?
0
Let p(h) be the first derivative of h**4/7 + 22*h**3/21 + 13*h**2/7 + 8*h/7 - 49. Find b, given that p(b) = 0.
-4, -1, -1/2
Suppose 1 = 2*k - 15. Factor 0*z**3 + 0*z - 2 - 2*z**3 - 6*z**4 + k*z**4 - 8*z**2 + z**5 - 7*z.
(z - 2)*(z + 1)**4
Let x(y) be the second derivative of 5 + 289/4*y**2 - 17/6*y**3 + 5*y + 1/24*y**4. Factor x(l).
(l - 17)**2/2
Let a(w) be the second derivative of w**7/504 + w**6/24 + 3*w**5/8 - w**4/12 + 14*w. Let s(y) be the third derivative of a(y). Factor s(d).
5*(d + 3)**2
Factor 8/5 + 22/5*p - 2/5*p**4 + 18/5*p**2 + 2/5*p**3.
-2*(p - 4)*(p + 1)**3/5
Let p(i) = 10*i + 6. Let q be p(0). Find g such that -2*g**4 - 7*g + 2*g**3 + 3*g + 4 - 6*g + q*g**2 = 0.
-2, 1
Suppose 0 = y - 3. Let k be 3*(9/y + -2). Let 2*x**2 + 2 - 4*x**2 + k*x + x**5 - 4*x**3 + 0*x = 0. Calculate x.
-1, 1, 2
Let h be (2 - 0)/(8/(-20)) - -21. Let u be h*(52/56)/13. Factor u + 6/7*k - 2/7*k**2.
-2*(k - 4)*(k + 1)/7
Suppose -6*r + 3859 = 11*r. Let z = r + -2495/11. Suppose 0*q + 0 + 0*q**2 + z*q**4 + 4/11*q**3 = 0. Calculate q.
-2, 0
Solve -28/11*q**2 - 16/11 + 36/11*q + 9/11*q**3 - 1/11*q**4 = 0 for q.
1, 2, 4
Suppose -3*j = -32*j. Determine r so that j - 9/2*r + 3/2*r**2 = 0.
0, 3
Let g(o) be the first derivative of o**6/120 + o**5/20 + o**4/8 + o**3 + 2. Let p(l) be the third derivative of g(l). Factor p(z).
3*(z + 1)**2
Let v(s) be the third derivative of -s**6/300 + s**5/75 + s**4/12 - 2*s**3/5 - 4*s**2 + 11*s. Factor v(k).
-2*(k - 3)*(k - 1)*(k + 2)/5
Let y(f) = -231*f**2 - f + 2. Let b be y(0). Factor 30/7*o - b + 2/7*o**3 - 18/7*o**2.
2*(o - 7)*(o - 1)**2/7
Let t(w) be the second derivative of -w**5/15 - w**4/6 + 3*w**2/2 + 6*w. Let y(q) be the first derivative of t(q). Factor y(l).
-4*l*(l + 1)
Let a(t) = 10 - 6 - t + 9 + 0*t. Let n be a(6). Factor 2*f**4 - 2*f**2 + 5 - 3 + n*f**5 - 2 - 7*f**3.
f**2*(f - 1)*(f + 1)*(7*f + 2)
Let g be (-4)/(7/(14/(-4))). Let j be g/(54/(-21)) - (-2 + 1). Find k, given that -j*k**3 + 2/9*k**2 + 0 + 0*k = 0.
0, 1
Let k = 915 + -915. Let x(u) be the second derivative of -1/4*u**4 + k + 0*u**3 + 3/2*u**2 + 6*u. Factor x(a).
-3*(a 