*2*(j - 1)**2*(7*j - 2)
Let b(f) be the first derivative of -1/12*f**3 + 0*f + 0*f**2 + 0*f**4 - 2 + 1/20*f**5. Suppose b(p) = 0. What is p?
-1, 0, 1
Suppose 10 = 3*n - 6*n - 4*a, -a - 8 = -2*n. Let m(c) be the third derivative of 0 - 19/3*c**5 - 8/3*c**3 - n*c**2 + 35/12*c**6 + 17/3*c**4 + 0*c. Factor m(o).
2*(5*o - 2)**2*(7*o - 2)
Let q(t) be the second derivative of 9/20*t**5 - 5/4*t**4 + 0 + 0*t**2 + t**3 + 2*t + 1/10*t**6 - 1/14*t**7. Factor q(a).
-3*a*(a - 1)**3*(a + 2)
Let s = 7 - 5. Let y = 11 - 11. Let -1/2*c**3 + 0*c**s + 1/2*c + y = 0. What is c?
-1, 0, 1
Let w(y) be the first derivative of 9*y**3 - y**2 + 42. Factor w(z).
z*(27*z - 2)
Suppose -3*l - 2 = 1. Let y be 0*(2 + l)/(-1). Factor -n**3 + 0*n + y*n - n**2.
-n**2*(n + 1)
Let 39*j**2 - 34*j**2 + 36 + 14 - 55*j = 0. What is j?
1, 10
Let k = -23 - -23. Suppose t - 2 - 2 = k, r + 2*t = 8. Factor r*o + 0 + 12/5*o**2 - 36/5*o**3 + 27/5*o**4.
3*o**2*(3*o - 2)**2/5
Let r(y) be the third derivative of -y**6/60 + y**5/10 + y**4/12 - y**3 - 5*y**2. Factor r(l).
-2*(l - 3)*(l - 1)*(l + 1)
Let z(g) be the third derivative of g**6/35 - g**5/105 - 14*g**2. Factor z(d).
4*d**2*(6*d - 1)/7
Let s(t) = -5*t + 5*t + 3*t - 2*t - t**2. Let i(h) = h**3 - 8*h**2 + 8*h - 1. Let z(m) = i(m) - 5*s(m). Factor z(k).
(k - 1)**3
Let a be ((-3)/(-6))/(6/3). Factor i**2 + 0 + 5/4*i**4 + 2*i**3 + 0*i + a*i**5.
i**2*(i + 1)*(i + 2)**2/4
Suppose -2*d**3 - 38*d**2 + 38*d + 142*d - 340*d + 200 = 0. Calculate d.
-10, 1
Let h(w) = 3*w**2 + w. Let g be h(-1). Let s = -1216/5 + 244. Solve s - g*f - 2/5*f**3 + 8/5*f**2 = 0.
1, 2
Let a(v) be the first derivative of 2*v**5/55 - v**4/22 - 4*v**3/33 - 4. Let a(q) = 0. Calculate q.
-1, 0, 2
Let s = -68 + 71. Determine k, given that 1/3 + 1/3*k - 1/3*k**s - 1/3*k**2 = 0.
-1, 1
Let y = 4/469 - 731/140700. Let f(l) be the third derivative of -1/200*l**6 + 0*l**4 + 0*l - 1/1680*l**8 + 1/350*l**7 - l**2 + 0 + 0*l**3 + y*l**5. Factor f(s).
-s**2*(s - 1)**3/5
Let b = -114 + 117. Determine j so that 11/2*j - 1 + 8*j**4 - 7/2*j**5 - 2*j**b - 7*j**2 = 0.
-1, 2/7, 1
Let p(j) be the second derivative of 3*j**5 + 2*j**3 - 29/6*j**4 - 7/15*j**6 + 0 + 3*j + 0*j**2. Let p(w) = 0. What is w?
0, 2/7, 1, 3
Let i(g) be the first derivative of -g**8/504 + g**7/315 + g**6/180 - g**5/90 - 2*g**2 - 2. Let t(h) be the second derivative of i(h). Factor t(o).
-2*o**2*(o - 1)**2*(o + 1)/3
Factor -3/2*x**2 + 3/2*x - 1/2 + 1/2*x**3.
(x - 1)**3/2
Let k(v) = 4*v**2 - 3*v - 4. Let d(q) = 5*q**2 - 4*q - 5. Let x(p) = -3*d(p) + 4*k(p). Factor x(u).
(u - 1)*(u + 1)
Let z = -61 - -61. Factor z - 4/11*g - 10/11*g**2 - 6/11*g**3.
-2*g*(g + 1)*(3*g + 2)/11
Let g = 18 - 18. Factor 1/4*d**3 + 0 + g*d**2 - 1/4*d.
d*(d - 1)*(d + 1)/4
Suppose 2*y - 5 = 7. What is m in -m**3 + 5*m**2 - y*m + 4*m**3 - 2*m**2 = 0?
-2, 0, 1
Let b be 6/(-15)*-5 + -2. Let s = -3 - -5. Factor 1/2*v**3 - 5/4*v**4 + 0*v + 0*v**s + b.
-v**3*(5*v - 2)/4
Let s(l) = -8*l**2 + 27*l - 32. Let m(u) = 20*u**2 - 68*u + 80. Let z(i) = 5*m(i) + 12*s(i). Let z(g) = 0. What is g?
2
Let l(h) = 8*h**2 + 1. Let n be l(-1). Factor 0*j + 0*j**2 - 3 - 3*j**2 + n - 3*j.
-3*(j - 1)*(j + 2)
Let m(d) be the second derivative of 3*d**5/20 - d**4/4 - d**3 - 4*d. Factor m(f).
3*f*(f - 2)*(f + 1)
Let o(a) be the first derivative of a**6/90 + 2*a**5/15 + a**4/2 + 10*a**3/3 - 10. Let m(l) be the third derivative of o(l). Find t, given that m(t) = 0.
-3, -1
Let j(o) be the second derivative of 1/90*o**5 + 2/27*o**3 + 0*o**2 - 1/18*o**4 + 3*o + 0. Solve j(u) = 0.
0, 1, 2
Let g(u) be the second derivative of u**7/4620 - u**6/990 - u**5/660 + u**4/66 + 3*u**3/2 - 10*u. Let l(q) be the second derivative of g(q). Factor l(y).
2*(y - 2)*(y - 1)*(y + 1)/11
Solve 28*o**3 - 17*o**4 + 7*o**5 + 10*o - 2*o - 3*o**5 - 1 - 22*o**2 = 0 for o.
1/4, 1
Let c(r) = -4*r**2 - 4*r + 13. Let a(g) = 0*g**2 + 7 - g**2 - 2*g - g**2. Let s(q) = 5*a(q) - 3*c(q). Factor s(j).
2*(j - 1)*(j + 2)
Let o = 27/13 + -95/52. Factor 0 - 1/8*y + 0*y**3 - o*y**4 + 1/4*y**2 + 1/8*y**5.
y*(y - 1)**3*(y + 1)/8
Let f(i) = 5*i**3 - 4*i**2 + 5*i. Let h(o) = -26*o**3 + 19*o**2 - 26*o. Let j(y) = -11*f(y) - 2*h(y). Factor j(t).
-3*t*(t - 1)**2
Let y be 1 + (-3)/21 + -1. Let m = y - -10/21. Factor 1/3*x + 0 - m*x**3 + 0*x**2.
-x*(x - 1)*(x + 1)/3
Let m(p) be the third derivative of -5*p**8/336 - p**7/105 + p**6/8 + 4*p**5/15 + p**4/6 - 45*p**2. Solve m(w) = 0.
-1, -2/5, 0, 2
Let j(o) be the third derivative of o**6/240 + o**5/20 + 3*o**4/16 + o**3/3 + 33*o**2. Solve j(s) = 0 for s.
-4, -1
Let s = 0 + 2. Solve -i**5 - 7 - 7*i**4 - 16*i**s - 16*i + 3 - 19*i**3 - 7*i**2 - 2*i**2 = 0 for i.
-2, -1
Factor 0*m - 1/4*m**3 + 1/4*m**2 + 0.
-m**2*(m - 1)/4
Let g be (-4 + 11 - 11)*3/(-18). Factor 2/9*f**2 - g - 4/9*f.
2*(f - 3)*(f + 1)/9
Let q(a) be the first derivative of -2*a**3/3 - 4*a**2 - 6*a + 5. Factor q(c).
-2*(c + 1)*(c + 3)
Let p(u) = -5*u**4 + u**3 + 5*u**2 + 5*u - 6. Let r(t) = -70*t**4 + 15*t**3 + 70*t**2 + 70*t - 85. Let q(g) = 85*p(g) - 6*r(g). Let q(v) = 0. What is v?
-1, 0, 1
Let y(m) be the third derivative of m**6/360 - m**5/120 + 2*m**3/3 - 6*m**2. Let f(h) be the first derivative of y(h). Factor f(q).
q*(q - 1)
Let t(n) = -n - 6. Let a be t(-9). Let u be ((-1)/a)/((-1)/12). Let -4*h**2 + h**3 + 9*h**2 - 2 + 2*h**u - 5*h**4 - h = 0. What is h?
-1, -2/3, 1
Suppose -4*r + 8 = -0*c + 2*c, -16 = -5*r - 4*c. Let v = -13/2 - -7. Factor r + t**3 - v*t**4 + 0*t - 1/2*t**2.
-t**2*(t - 1)**2/2
Let a(t) be the second derivative of -t**7/126 - t**6/18 - 3*t**5/20 - 7*t**4/36 - t**3/9 - 8*t. Solve a(u) = 0.
-2, -1, 0
Suppose 3*b = 8*b + 40. Let g be (b/7)/(12/(-14)). Factor 2/3*y**2 - g + 2/3*y.
2*(y - 1)*(y + 2)/3
Let x(k) = -85*k**3 - 35*k**2 + 325*k - 180. Let a(j) = 7*j**3 + 3*j**2 - 27*j + 15. Let y(p) = -25*a(p) - 2*x(p). Factor y(c).
-5*(c - 1)**2*(c + 3)
Let w(t) be the second derivative of 0*t**3 - 1/30*t**5 - 1/90*t**6 + 0*t**2 - 1/36*t**4 + t + 0. Suppose w(s) = 0. What is s?
-1, 0
Let -2/7*g**2 - 4/7*g - 2/7 = 0. Calculate g.
-1
Suppose 5*r = 4*y + 8 + 6, -4 = -y. Let n be (-7)/(-5) - (r - 5). Factor -2/5*l**3 + 2/5*l**2 + 2/5*l - n.
-2*(l - 1)**2*(l + 1)/5
Let c = 7/5 - 23/20. Let y(s) be the first derivative of -1/4*s**3 - 1/16*s**4 - 1 - 3/8*s**2 - c*s. Factor y(v).
-(v + 1)**3/4
Let u(a) be the second derivative of -a**6/20 - 9*a**5/40 - 3*a**4/8 - a**3/4 + 9*a. What is b in u(b) = 0?
-1, 0
Determine n, given that -7*n**2 + 8*n + 3*n**2 - 4*n = 0.
0, 1
Let u = 2692/835 - 4/167. Factor 1/5 + 56/5*p**4 - 11/5*p + 43/5*p**2 - u*p**5 - 73/5*p**3.
-(p - 1)**3*(4*p - 1)**2/5
Let b = 9429 - 28703/3. Let x = b - -140. Solve 2/9 + 2/9*a**4 + 8/9*a + 8/9*a**3 + x*a**2 = 0 for a.
-1
Let f = -139 - -697/5. Let m = -51 + 257/5. Find v, given that -2/5*v**3 + m*v + f*v**2 - 2/5 = 0.
-1, 1
Let h(m) be the third derivative of 0*m**7 + 0*m**3 + 0*m + 0 + 0*m**5 - 1/108*m**4 - 1/1512*m**8 - m**2 + 1/270*m**6. Factor h(o).
-2*o*(o - 1)**2*(o + 1)**2/9
Suppose 0 = -3*z + 3*j + 6, 3*z = 4*j - 0 + 4. Suppose x + 11 = 3*r, -2*x = z*r - x - 10. Solve 0*h**3 - h**r + h**2 + 3*h**3 = 0 for h.
-1/2, 0
Let p(w) be the second derivative of w**6/6 - 3*w**5/4 - 5*w**4/12 + 5*w**3/2 - 5*w - 2. Factor p(f).
5*f*(f - 3)*(f - 1)*(f + 1)
Let h(g) be the third derivative of -g**8/672 + g**6/24 - g**5/6 + 5*g**4/16 - g**3/3 - 10*g**2 - 5. Factor h(b).
-(b - 1)**4*(b + 4)/2
Let y(c) be the first derivative of -c**6/40 - c**5/16 - c**4/48 + c**3/24 + c - 2. Let d(o) be the first derivative of y(o). Determine m, given that d(m) = 0.
-1, 0, 1/3
Let n(b) be the second derivative of b**5/4 + b**4 - 11*b**3/6 - 3*b**2 + 6*b. Determine z, given that n(z) = 0.
-3, -2/5, 1
Let m(g) = -g**2 + 5*g - 4. Let w(u) = u. Suppose 5*n + 17 = -0*s + 2*s, 0 = -4*s - 3*n - 5. Let t(h) = s*m(h) - w(h). Factor t(i).
-(i - 2)**2
Let n(f) be the second derivative of -f**4/4 - 3*f**3 - 27*f**2/2 + 3*f. Factor n(p).
-3*(p + 3)**2
Let y(s) be the second derivative of 0*s**2 + 1/66*s**4 + 1/11*s**3 + 2*s + 0. Solve y(o) = 0 for o.
-3, 0
Let h(a) = 6*a**3 - 4*a**2 + 11*a + 20. Let j(c) = -c**3 + c**2 - 2*c - 4. Let o(k) = 2*h(k) + 11*j(k). Factor o(s).
(s - 1)*(s + 2)**2
Let z(o) be the second derivative of -o**6/105 + o**5/35 - 2*o**3/21 + o**2/7 + 18*o. Find b, given t