 + 7*m**2 + 1/180*m**5 + 0*m + 0*m**3 - 1/90*m**7 + 0 - 1/252*m**8. Factor w(t).
-t**2*(t + 1)**2*(4*t - 1)/3
Let u(o) = 34*o - 4. Let a be u(6). Let m = a - 1392/7. Factor -8/7 - 2/7*y**2 - m*y.
-2*(y + 2)**2/7
Suppose i + 2*h + 5 - 1 = 0, -3*i - 2*h = 0. Solve -3/2*g**4 + 5/3*g**5 + 0*g**i + 1/3*g**3 + 0*g + 0 = 0 for g.
0, 2/5, 1/2
Let r be 10/(-1 + (6 - 3)). Factor v**2 + r - 5 + 2*v**2.
3*v**2
Let w(x) = -11*x**2 + 7*x - 41. Let l(s) = -5*s**2 + 4*s - 20. Let i(p) = -9*l(p) + 4*w(p). Find z such that i(z) = 0.
4
Let t(d) = d. Let h be t(-1). Let r = h + 6. Factor 4*g**2 + 0*g**3 - 16*g**4 - 9*g**r - g**5 - 2*g**3.
-2*g**2*(g + 1)**2*(5*g - 2)
Let h(x) be the second derivative of x**8/840 + x**7/280 - x**5/120 - 2*x**3/3 + 2*x. Let j(y) be the second derivative of h(y). Factor j(r).
r*(r + 1)**2*(2*r - 1)
Let -p**3 - 2*p - 8*p + 3 + 1 + 2*p + 5*p**2 = 0. What is p?
1, 2
Let z(q) be the second derivative of -q**8/672 + q**6/240 - q**2/2 - 4*q. Let x(m) be the first derivative of z(m). Suppose x(d) = 0. What is d?
-1, 0, 1
Factor 4*h**2 - 20 + 28 - 13*h + h.
4*(h - 2)*(h - 1)
Let c be 16/6*(-36)/(-24). Suppose 16 = -2*a + 5*h - 9, -h + 5 = -c*a. Let -1/5*x**4 + 0*x**3 + 0 + a*x + 1/5*x**2 = 0. Calculate x.
-1, 0, 1
Suppose 4 = 2*z + f, 3*z = 4*f - 5*f + 4. Factor 6*r**2 - 6*r**3 - 2*r + 0*r**4 + z*r**2 + 4*r**4 - 2*r**4.
2*r*(r - 1)**3
Let r(a) be the first derivative of a**3 + 1/2*a**2 + 1/5*a**5 + 0*a + 3/4*a**4 + 1. Factor r(k).
k*(k + 1)**3
Let 9*i**3 - 2 - 3*i**2 + i - 9*i + 5 - i = 0. What is i?
-1, 1/3, 1
Let s(v) be the third derivative of -v**8/224 - v**7/280 + v**6/80 + v**5/80 - v**2. Let s(d) = 0. What is d?
-1, -1/2, 0, 1
Let v be (-10)/(-4)*14/35. Let o(p) = p**2 + p + 1. Let r(a) = -5*a**2 + a - 5. Let i(c) = v*r(c) + 3*o(c). Factor i(q).
-2*(q - 1)**2
Let w(q) = -q - 6. Let y be w(-6). What is j in 1/4*j**2 + 0 + y*j - 1/4*j**5 + 3/4*j**4 - 3/4*j**3 = 0?
0, 1
Let i = 12 + -12. Let h(k) be the second derivative of -1/18*k**3 + i - 1/60*k**5 + 0*k**2 - k + 1/18*k**4. Factor h(a).
-a*(a - 1)**2/3
Let p = -1147/2 + 574. Let p*j**2 - j + 0 + 1/2*j**3 = 0. What is j?
-2, 0, 1
Let j(k) be the second derivative of k**9/6048 - k**8/3360 - k**7/1680 + k**6/720 - k**3/6 - 5*k. Let g(q) be the second derivative of j(q). Factor g(f).
f**2*(f - 1)**2*(f + 1)/2
Find i, given that 1/2*i - 1/2*i**3 + 11/2*i**2 - 11/2 = 0.
-1, 1, 11
Let a(g) be the first derivative of g**5/20 - 3*g**4/16 + g**3/6 + 11. Factor a(v).
v**2*(v - 2)*(v - 1)/4
Factor 0 + 2*q - 3/2*q**3 + 1/2*q**4 + 0*q**2.
q*(q - 2)**2*(q + 1)/2
Suppose 0*h**2 - 4*h**3 + h**2 - h**2 + 2*h**2 = 0. What is h?
0, 1/2
Let b(u) be the second derivative of -2*u**3 + 0 + 5/4*u**4 - 3/2*u**2 - 2*u. Factor b(r).
3*(r - 1)*(5*r + 1)
Suppose -z - 2 = -2*z. Factor z*c**2 - 3*c**3 + 2*c - c**4 + c**3 + 3*c**4 - 4*c**4.
-2*c*(c - 1)*(c + 1)**2
Factor 1/2*z**2 + 1/2*z**3 - 1/2*z - 1/2.
(z - 1)*(z + 1)**2/2
Let d(j) be the second derivative of j**7/63 + 2*j**6/45 - j**5/15 - 2*j**4/9 + j**3/9 + 2*j**2/3 - 6*j. Let d(h) = 0. What is h?
-2, -1, 1
Suppose 2*d + 5*j + 19 = -0*d, 0 = -3*j - 15. Factor -1/2*a**d - 2 + 0*a + 3/2*a**2.
-(a - 2)**2*(a + 1)/2
Let o(k) = 12*k**2 + k - 1. Let u be o(1). Factor -11*p + 11*p + u - 147*p**2 + 0.
-3*(7*p - 2)*(7*p + 2)
Let w(z) be the second derivative of z**7/5040 - z**6/1440 - 11*z**4/12 + 7*z. Let g(n) be the third derivative of w(n). Factor g(j).
j*(j - 1)/2
Let 6*k**3 - 3*k**4 + 28*k - 3*k**2 - 28*k = 0. Calculate k.
0, 1
Let i = -28 + 34. Let c(f) = -7*f**3 + 7*f**2 + 7*f - 1. Let q(a) = 2*a - 3*a - a**2 + 0*a + a**3. Let d(o) = i*q(o) + c(o). Suppose d(b) = 0. Calculate b.
-1, 1
Let f(v) be the second derivative of -5*v + 0 + 0*v**2 - 1/12*v**4 + 1/9*v**3 + 1/60*v**5. Suppose f(z) = 0. Calculate z.
0, 1, 2
Let q = -15 + 17. Suppose 2/5*w**q + 4/5*w + 2/5 = 0. What is w?
-1
Find k, given that 1/3*k**3 - 1/3*k + 1/3 - 1/3*k**2 = 0.
-1, 1
Suppose -4*s = 4*k - 12, 2*s = 5*k + 4*s - 15. Factor k + 3/4*b**2 - 3*b.
3*(b - 2)**2/4
Let a(d) be the second derivative of 2*d**6/75 + 8*d**5/25 + 16*d**4/15 - 12*d. Determine l, given that a(l) = 0.
-4, 0
Let o(l) = -l**3 + 6*l**2 + 7*l. Let h(c) = c**3 - 7*c**2 - 8*c. Let r(f) = -4*h(f) - 5*o(f). Determine b so that r(b) = 0.
-1, 0, 3
Suppose -12 = -11*q + 7*q. Factor 0 + 1/6*w - 1/3*w**2 + 1/6*w**q.
w*(w - 1)**2/6
Let f = 4/7 - 17/42. What is x in -f*x**2 + 1/3*x - 1/6*x**3 + 0 = 0?
-2, 0, 1
Let v = -5 + 9. Factor -3*s**3 - 4*s - 3*s**3 + 2*s + 4*s**2 + v*s**3.
-2*s*(s - 1)**2
Let n(u) = -2*u + 6. Let p be n(-7). Factor -8*z**3 + p*z - 7 + 31*z**2 + 1 - 13*z**2.
-2*(z - 3)*(z + 1)*(4*z - 1)
Let t = -7 - -13. Let d be (-8)/t*9/(-6). What is w in -w + 2 - 2 + w**d = 0?
0, 1
Let y = 13165/4938 - -1/1646. Determine w, given that y*w**4 + 0 + 0*w**3 - 4/3*w + 4/3*w**5 - 8/3*w**2 = 0.
-1, 0, 1
Let l be (30/(-25))/(4*5/(-75)). Determine x so that -9/2 + l*x - 3/2*x**2 + 1/6*x**3 = 0.
3
Let q(z) be the second derivative of 5*z**7/42 + z**6/3 + z**5/4 + 9*z. Factor q(w).
5*w**3*(w + 1)**2
Let n(k) be the second derivative of 1/40*k**5 - 1/24*k**4 + 0*k**2 + 0 - 5*k + 0*k**3. Find o, given that n(o) = 0.
0, 1
Determine t so that -2/5*t**2 - 2/5 - 4/5*t = 0.
-1
Let q(t) be the third derivative of -t**8/10080 - t**7/630 - t**6/90 + t**5/30 - 4*t**2. Let b(v) be the third derivative of q(v). Factor b(s).
-2*(s + 2)**2
Let n be (-9)/2 + (-4 - -9) + 0. Find t, given that 0*t**2 + n*t**3 - 1/2*t + 0 = 0.
-1, 0, 1
Let f(b) = 5*b**2 - 26*b + 5. Let x be f(5). Factor x - 2/3*a**4 + 2/3*a**2 - 4/3*a**3 + 4/3*a.
-2*a*(a - 1)*(a + 1)*(a + 2)/3
Let t = 41/7 - 40/7. Let y(u) be the second derivative of u + 0*u**2 + 1/6*u**5 + 1/18*u**4 + 0 + 1/15*u**6 + 0*u**3 - t*u**7. Suppose y(z) = 0. What is z?
-1/3, 0, 1
Factor -f**4 - 5 - 11*f**2 - 13*f - 2*f**2 + 6*f**3 + 1 + 25*f.
-(f - 2)**2*(f - 1)**2
Let p(x) = -x**2 - 7*x + 61. Let o be p(5). Let i(v) be the first derivative of -2/27*v**3 + o + 1/18*v**4 + 0*v + 0*v**2. Let i(u) = 0. What is u?
0, 1
Suppose -2 = -0*c - c. Suppose c*d - 3*h - 15 = -6*h, 6 = 2*h. Find j such that 2*j**3 + 3*j**4 - d*j**4 - 2*j**4 + j**4 - j**2 = 0.
0, 1
Let f(a) be the second derivative of a**5/4 + 5*a**4/4 + 5*a**3/3 + a. What is g in f(g) = 0?
-2, -1, 0
Suppose -o = 0, -3*s - 2*s - 2*o = -10. Solve y**s + 1/2*y**3 + 1/2*y + 0 = 0.
-1, 0
Factor 6*s**3 - 3/2 + 6*s - 9*s**2 - 3/2*s**4.
-3*(s - 1)**4/2
Suppose -4*z = -4*d - 20, 4*z - 37 = -z - d. Suppose -2*w = -z*w + 10. Suppose 6*l**w - 9*l**3 + 4 + 0 - 4 = 0. What is l?
0, 2/3
Suppose 0 = i + 3*i + 132. Let a be 30/44 + 6/i. Solve -1/2*y + 0 - a*y**4 + 1/2*y**2 + 1/2*y**3 = 0.
-1, 0, 1
Let t(m) be the second derivative of m**6/80 + 3*m**5/160 + m - 13. Factor t(b).
3*b**3*(b + 1)/8
Let d(x) be the second derivative of 3*x**5/140 - x**3/14 - 5*x. Suppose d(g) = 0. Calculate g.
-1, 0, 1
Factor 4*c + 3*c**5 - 3*c**3 + 0*c**3 - 2*c**5 - 4*c**2 + 0*c**5 + 2*c**4.
c*(c - 1)**2*(c + 2)**2
Let a(s) be the second derivative of -s**7/42 - s**6/10 + s**4/3 + 11*s. Factor a(t).
-t**2*(t - 1)*(t + 2)**2
Let k be -5 + (-12)/(-9) + 4. Factor k*r**2 + 2/3*r + 1/3.
(r + 1)**2/3
Let s = -6 + 8. Factor -6*b**2 + 4*b**3 + b**4 - 3*b**4 + 4*b**s.
-2*b**2*(b - 1)**2
Let w be 1 - (-2)/((-2)/(-3)). Factor -w - 3 + 0*i**3 + 5 - 6*i - 6*i**2 - 2*i**3.
-2*(i + 1)**3
Let d(c) = c**2 + 2*c - 5. Let q be d(-4). Suppose 0*x**3 + 6*x**2 - x**4 - 6*x**3 - 2*x + q*x**4 = 0. What is x?
0, 1
Let a be (2/3)/2 + 30/18. Factor 0 + 3/2*z**a - 3/2*z.
3*z*(z - 1)/2
Let q = 34129/687 - 8/687. Let b = q - 49. Factor 8/3*j + 8/3 + b*j**2.
2*(j + 2)**2/3
Let m(d) be the first derivative of -3*d**5/5 - 3*d**4/2 + d**3 + 3*d**2 - 30. Factor m(z).
-3*z*(z - 1)*(z + 1)*(z + 2)
Let y(l) = 4*l**2 - 19*l + 9. Let s(b) = 20*b**2 - 96*b + 44. Let w(m) = 3*s(m) - 16*y(m). Find r, given that w(r) = 0.
1, 3
Find t such that 240*t**2 - 30*t - 52*t - 15*t**4 - 184*t**3 - 18*t - 4*t**5 + 63*t**4 = 0.
0, 1, 5
Let s(f) be the second derivative of 0*f**2 + 1/3*f**4 + 0 + 4/3*f**3 - 3*f. Find q such that s(q) = 0.
-2, 0
Let x(m) be the first derivative of -12*m**5/5 - 3*m**4/4 + 4*m**3 + 3*m**2/2 - 1. Suppose x(j) = 0. What is j?
-1, -1/4, 0, 1
Find m such that 0 - 9*m - 3/2*m**2 = 0.
-6, 0
Let c(p) be the first derivative o