) + 6*t(v). Let b(z) = 0. What is z?
0, 1
Suppose 946*u**5 - 4*u + 2*u**4 - 945*u**5 - 8*u**2 - 4*u**3 + u**3 = 0. What is u?
-2, -1, 0, 2
Let u be 3/15*15/12. Let y = 5 + -3. Factor u*o**5 + 3/2*o**3 + o**4 + o**y + 0 + 1/4*o.
o*(o + 1)**4/4
Let g = 10/9 + 11/63. Let h(i) be the first derivative of 4 - 2/3*i**3 - 4/7*i + g*i**2. Factor h(r).
-2*(r - 1)*(7*r - 2)/7
Let x(m) be the second derivative of -m**4/12 + m**3/6 + m**2 - m. Let n(p) = 1. Let v(s) = -2*n(s) + x(s). Solve v(o) = 0 for o.
0, 1
Let b(g) be the second derivative of -4*g**7/147 - g**6/105 - g. What is z in b(z) = 0?
-1/4, 0
Let d(k) be the first derivative of 0*k + 0*k**4 - 2 - 3/5*k**5 + 1/2*k**6 + 0*k**3 + 0*k**2. Factor d(m).
3*m**4*(m - 1)
Factor -2/3*a**2 + 2/3 + 0*a.
-2*(a - 1)*(a + 1)/3
Let x(j) = -5*j**5 + 7*j**3 - 2*j - 3. Let d(h) = -4*h**5 + 6*h**3 - 2*h - 2. Let b(m) = -6*d(m) + 4*x(m). Factor b(g).
4*g*(g - 1)**2*(g + 1)**2
Let f be (-3)/(1/(1 + -2)). Factor -2*i + 4*i**2 + 0*i + i**3 + 0*i**2 + i**f - 4.
2*(i - 1)*(i + 1)*(i + 2)
Let b(h) be the third derivative of -1/150*h**5 + 0*h + 0*h**3 + 5*h**2 - 1/60*h**4 + 0. Determine v so that b(v) = 0.
-1, 0
Let s = 8 - 5. Factor s + 36*v + 6 + 4 - 1 + 27*v**2.
3*(3*v + 2)**2
Let q be 2/8*2*12. Solve -2*x**2 + 4*x - 2*x + 0*x - q*x = 0.
-2, 0
Suppose -11*k + 19*k - 16 = 0. Let r(f) be the third derivative of 0*f + 1/90*f**5 + f**k + 2/9*f**3 - 5/36*f**4 + 0 + 1/90*f**6. Factor r(u).
2*(u - 1)*(u + 2)*(2*u - 1)/3
Let z be 5/(-20)*(4 + 12/(-3)). Let p(g) be the second derivative of -2*g + 1/6*g**4 + 0 + z*g**2 + 1/3*g**3. Let p(q) = 0. What is q?
-1, 0
Let h(j) be the third derivative of -1/35*j**7 - 2*j**2 + 1/90*j**6 + 0*j + 0*j**3 + 0*j**4 + 1/72*j**8 + 0*j**5 + 0. Factor h(b).
2*b**3*(b - 1)*(7*b - 2)/3
Let q be 40/(-32) - 17/(-4). Find a, given that 0 + 0*a + 2/5*a**2 + 1/5*a**q = 0.
-2, 0
Let s(g) be the third derivative of g**7/1155 - g**6/660 - g**5/165 + 2*g**2. Factor s(v).
2*v**2*(v - 2)*(v + 1)/11
Suppose 6*g + 15*g = 63. Let c(q) be the second derivative of 0 + 1/70*q**5 + 0*q**2 - 1/42*q**4 - 2*q + 0*q**g. Solve c(v) = 0.
0, 1
Let o = 9 + -3. Factor 2*j**2 - o*j + 0*j**2 + 4*j - 4.
2*(j - 2)*(j + 1)
Suppose 4*s - 11 = z + 2, 2*s - 29 = 5*z. Factor -5*o - 2*o + 0 + 4*o**2 - s.
(o - 2)*(4*o + 1)
Let l be (0 - 3) + 6 + -1. Let u be ((-52)/(-91))/(l/14). Solve -1/3*s**2 + 1/3*s**u + 0*s + 0 + 0*s**3 = 0.
-1, 0, 1
Let q(i) be the third derivative of -i**8/32 - 9*i**7/140 + i**6/16 + 9*i**5/40 + i**4/8 + 3*i**2. Solve q(z) = 0 for z.
-1, -2/7, 0, 1
Suppose 0 = 2*p + q - 11, 3*p - 17 = -5*q + 17. Factor -5*x**2 + 3 - 1 + 3*x - 4*x**p + x**5 + 3*x**2.
(x - 2)*(x - 1)*(x + 1)**3
Let t(h) be the first derivative of 2*h**3 - 4*h**2 - 8*h - 4. Let t(z) = 0. Calculate z.
-2/3, 2
Suppose 3*w + n - 9 = 0, -4*w + w = 4*n - 18. What is l in -l**3 + w - 2 = 0?
0
Suppose 4*a - 2*m = 2, 4*a - 2*a + m = 7. Let n(d) be the third derivative of 1/90*d**5 - 1/9*d**3 + 0 + 0*d**4 - 3*d**a + 0*d. Find j such that n(j) = 0.
-1, 1
Let k = -53 - -53. Let r(s) = s**3 + 7*s**2 + 5*s - 4. Let n be r(-6). Factor -1/6*f**4 + k*f - 1/6*f**3 + 0 + 0*f**n.
-f**3*(f + 1)/6
Factor -12*i**4 + 10*i**3 - i**3 - 4*i**2 + 7*i**5 - 3*i**5 + 3*i**3.
4*i**2*(i - 1)**3
Let i = 4 - -16. Suppose -5*v + i = -r, 0*r - 4*v = 4*r - 16. Factor 7/3*w**2 + r + 2/3*w.
w*(7*w + 2)/3
Suppose -5*w + 19 = -2*a, 5*w - 13 = -a - 0*a. Let j = w + 2. Suppose -h**3 - j*h + 3*h - 1 - 3*h**2 - h = 0. What is h?
-1
Let z(y) be the third derivative of 0*y - 11/80*y**5 + 0 - 4*y**2 - 9/32*y**4 + 1/4*y**3. Factor z(o).
-3*(o + 1)*(11*o - 2)/4
Let q(c) be the third derivative of 3/10*c**5 + 3*c**2 + 1/3*c**3 - 1/2*c**4 + 0 + 0*c. Factor q(s).
2*(3*s - 1)**2
Let u = -118 + 830/7. Determine c so that u*c**2 - 2/7*c**3 + 0*c - 2/7*c**4 + 0 = 0.
-2, 0, 1
Factor 7*p**3 + 8*p**4 + 8*p**5 + 2*p**3 + 8*p**5 - 8*p**3.
p**3*(4*p + 1)**2
Let p(w) = -13*w**2 + 8*w + 8*w - 3*w + 8. Let g(l) = -3*l**2 + 3*l + 2. Let a(z) = -9*g(z) + 2*p(z). What is x in a(x) = 0?
-1, 2
Suppose 12 = -0*w + 6*w. What is j in j**3 - 3*j**w - 14*j**2 + 54*j - 54 - j**2 + j**3 = 0?
3
Let j(k) be the second derivative of -k**6/5 + k**5 - k**4/2 - 4*k**3 + 4*k**2 + 10*k. Let j(x) = 0. What is x?
-1, 1/3, 2
Suppose 17 - 37 = -4*l. Suppose 0 = -l*b - 3*s - 3 - 0, -5*b = -5*s - 5. Find y, given that 0*y**2 - 1/2*y**5 + b + 0*y**3 + 0*y - y**4 = 0.
-2, 0
Suppose -2*i = 4*h + 446, -h - 2*i = 3*i + 116. Let b = 1001/9 + h. Let -2/9*d**3 + 2/9*d**2 - 2/9 + b*d = 0. Calculate d.
-1, 1
Let u(f) be the third derivative of -f**8/16800 - f**7/12600 + f**5/12 + 8*f**2. Let o(p) be the third derivative of u(p). Factor o(t).
-2*t*(3*t + 1)/5
Let t(y) = -2*y**3 - 10*y. Let j(h) = -4*h**3 + h**2 - 19*h. Let b(g) = 6*j(g) - 11*t(g). Factor b(a).
-2*a*(a - 2)*(a - 1)
Let f = -2/643 + 883/77160. Let k(g) be the third derivative of 0 + 0*g - g**2 - 1/48*g**4 - f*g**5 + 0*g**3. Factor k(s).
-s*(s + 1)/2
Suppose -5*s**4 + 1 - 25*s**2 - 30*s**3 - 2 + 1 = 0. Calculate s.
-5, -1, 0
Let o(n) be the first derivative of -5*n**6/18 - n**5/3 + 5*n**4/4 + 25*n**3/9 + 5*n**2/3 - 5. Factor o(i).
-5*i*(i - 2)*(i + 1)**3/3
Let q be 4/3*9/30. Find d, given that -2/5 - q*d**2 + 4/5*d = 0.
1
Factor -1/3*v**3 - v**4 + 1/3*v**5 + 11/3*v**2 - 4*v + 4/3.
(v - 2)*(v - 1)**3*(v + 2)/3
Suppose -2*r = -2*v - 10, -9*v + 2*r = -4*v + 10. Factor 36/7*b**4 + 0 - 16/7*b**5 - 24/7*b**3 + 4/7*b**2 + v*b.
-4*b**2*(b - 1)**2*(4*b - 1)/7
Let b(y) be the third derivative of y**5/20 + y**4/12 + y**3/18 + 36*y**2 + 2*y. Factor b(s).
(3*s + 1)**2/3
Let t(q) be the first derivative of -q**6/40 + q**5/60 + q**4/8 - q**3/6 - 3*q**2 - 5. Let u(o) be the second derivative of t(o). Solve u(p) = 0 for p.
-1, 1/3, 1
Determine f, given that 13/4*f**2 - 7/4*f**5 - 27/4*f**3 + 23/4*f**4 - 1/2*f + 0 = 0.
0, 2/7, 1
Let i(k) be the second derivative of 2*k**6/15 - k**5/5 - k**4/3 + 2*k**3/3 - 2*k. Suppose i(g) = 0. Calculate g.
-1, 0, 1
Let k = -25 + 41. Let q be 1/(-4) + 8/k. Factor -q - 3/4*v**2 + 3/4*v + 1/4*v**3.
(v - 1)**3/4
Let l(x) be the third derivative of -x**7/105 + x**6/8 - 37*x**5/60 + 11*x**4/8 - 3*x**3/2 - 16*x**2. Solve l(h) = 0 for h.
1/2, 1, 3
Find g such that 103*g + 80*g**2 + 320*g**3 + 108*g - 231*g - 5 = 0.
-1/4, 1/4
Let z(d) be the first derivative of 1/16*d**4 + 1/20*d**5 + 5 + 0*d**2 - 1/24*d**6 + 0*d - 1/12*d**3. Factor z(m).
-m**2*(m - 1)**2*(m + 1)/4
Suppose -2*s = 5*s. Factor s + 0*z + 1/2*z**3 - 1/2*z**2.
z**2*(z - 1)/2
Let o = 3 + -1. Let i = 1 + 1. Factor -n**5 - 4*n**2 + 2*n + 2*n**o - n + i*n**4.
-n*(n - 1)**3*(n + 1)
Let y(l) = l**3 + l**2 + 1. Let t(w) = w**3 - w - 2. Let f be (-1)/3*-3*4. Let d(o) = f*y(o) + 2*t(o). Factor d(x).
2*x*(x + 1)*(3*x - 1)
Suppose 0 = 2*w - 7 - 1. Let t = -2459/3 - -820. Factor 2/3*x**3 - t*x + 2/3*x**2 - 1/3*x**w - 1/3 - 1/3*x**5.
-(x - 1)**2*(x + 1)**3/3
Let z(c) be the second derivative of c**6/60 - c**5/10 + c**4/6 + 3*c**2 + 4*c. Let t(k) be the first derivative of z(k). Determine b, given that t(b) = 0.
0, 1, 2
Determine a so that -8/3*a**2 - 2/3*a**3 + 1/3*a**4 + 0 + 0*a = 0.
-2, 0, 4
Let i be 8/10 - -4*6/60. Find r, given that 3/5*r**4 + 3/5*r**2 - i*r**3 + 0 + 0*r = 0.
0, 1
Let s(j) be the third derivative of -j**6/120 + j**5/60 + 71*j**2. Factor s(z).
-z**2*(z - 1)
Suppose -3*n - 5*i = -2*i + 69, -5*n + 4*i - 106 = 0. Let u = 25 + n. Factor 28/3*z**u + 4/3*z**2 + 0 + 49/3*z**4 + 0*z.
z**2*(7*z + 2)**2/3
Factor -9/5*x + 3/5*x**3 + 0*x**2 + 6/5.
3*(x - 1)**2*(x + 2)/5
Let k = -2 - 2. Let u = 8 + k. Find w such that -28*w**5 - 43*w**4 + 39*w**2 + 2 + u*w + 2*w**2 + 11*w**3 + 13*w = 0.
-1, -2/7, -1/4, 1
Suppose 5*g = 2*c - 4, -5*g - 9 = -5*c + 1. Factor 0*a**c + 0 + 2/15*a - 2/15*a**3.
-2*a*(a - 1)*(a + 1)/15
Let w(p) = p**3 + 4*p**2 - 4. Let h be w(-3). Solve 4*m**4 + 4*m**4 - 3*m**4 - 6*m**3 - 2*m**4 + 9*m**h = 0.
-1, 0, 2/3
Let m(l) be the third derivative of 0 - 2*l**2 - 1/150*l**5 - 1/175*l**7 + 1/100*l**6 + 1/840*l**8 + 0*l**4 + 0*l + 0*l**3. Determine b, given that m(b) = 0.
0, 1
Let r be ((-3)/(-4))/(5/(-20)). Let q be 12/9*r/(-2). Find k, given that -k**2 + 2*k**2 + q*k - 4 + k**2 = 0.
-2, 1
Suppose -17 = -3*f + 7. Suppose 10*d = 6*d + f. Factor 2/7*p**4 + 0 + 6/7*p**3 + 4/7*p**d + 0*p.
2*p**2*(p + 1)*(p + 