+ 14*b**2 - 22*b. Let g(m) = -16*a(m) - 5*c(m). Factor g(f).
-2*f*(f + 1)*(3*f - 1)**2
Let -t - 3*t**3 + 2*t**3 + 0*t**2 + 2*t + t**4 - t**2 = 0. Calculate t.
-1, 0, 1
Let m(g) be the second derivative of 0 + 1/12*g**3 + 0*g**2 + 2*g + 1/40*g**5 + 1/12*g**4. Factor m(y).
y*(y + 1)**2/2
Let h(f) be the second derivative of -f**4/3 - 28*f**3/3 - 98*f**2 + 6*f. Factor h(y).
-4*(y + 7)**2
Let r(c) = 12*c + c**3 + 0*c**3 + 6*c + 5*c**3 - 37*c**2. Let x(i) = 3*i**3 - 18*i**2 + 9*i. Let m(p) = -6*r(p) + 13*x(p). Factor m(n).
3*n*(n - 3)*(n - 1)
Suppose -4 = 3*i - 10. Let w(l) be the third derivative of 1/300*l**5 + 0*l + 0 - 1/30*l**3 + 1/600*l**6 + 3*l**i - 1/120*l**4. Suppose w(x) = 0. What is x?
-1, 1
Let b(a) be the second derivative of -a**7/63 - a**6/15 - a**5/10 - a**4/18 + a. Determine z so that b(z) = 0.
-1, 0
Suppose -2*q = -l + 17, 5*q + 39 = 3*l - l. Suppose 0 = -2*x + l*x - 30. Factor v**4 - 5*v - v**5 + 4*v**4 + 1 - 16*v**3 + 0*v**4 + 10*v**2 + x*v**3.
-(v - 1)**5
Let c(d) be the second derivative of d**5/120 - d**3/12 - d**2/6 + 13*d. Factor c(s).
(s - 2)*(s + 1)**2/6
Let c(k) be the third derivative of k**5/140 - k**4/28 - 3*k**3/14 + 5*k**2. What is f in c(f) = 0?
-1, 3
Let d(b) be the second derivative of b**6/45 - 2*b**5/15 + 2*b**4/9 + 3*b. Factor d(p).
2*p**2*(p - 2)**2/3
Let g(u) be the first derivative of -u**4/4 + u**3/3 + 1. Let q(j) = 4*j - 3*j + 5*j**2 - 3*j**4 + 2*j**4 - 5*j**3. Let h(k) = 4*g(k) - q(k). Factor h(v).
v*(v - 1)*(v + 1)**2
Let g(i) be the second derivative of i**5/15 + i**4/12 - i**3/2 + i**2/3 - 14*i. What is p in g(p) = 0?
-2, 1/4, 1
Let -7/8*v**2 - 1/4*v - 1/8*v**5 - 5/8*v**4 + 0 - 9/8*v**3 = 0. What is v?
-2, -1, 0
Let k(y) be the second derivative of -y**7/42 - y**6/105 + y**5/10 + y**4/21 - y**3/6 - y**2/7 - 4*y. Solve k(q) = 0 for q.
-1, -2/7, 1
Let g be -2 + 3*8/3. Suppose -g*v - 2 = -8. Determine f, given that -v - 5/2*f - 1/2*f**3 - 2*f**2 = 0.
-2, -1
Suppose 0 = 4*b + 4*x - 20, 5*b - 12*x = -7*x - 5. Determine c so that -b*c + 2*c**3 - 4/3 + 4/3*c**2 = 0.
-1, -2/3, 1
Let h(y) be the second derivative of -y**5/35 - 5*y**4/21 - 2*y**3/7 + 18*y**2/7 + y. Solve h(t) = 0.
-3, 1
Let h(q) be the first derivative of -q**4/6 - q**3/9 - 7. Factor h(z).
-z**2*(2*z + 1)/3
Let d(k) be the third derivative of -1/120*k**5 + 0*k + 1/12*k**3 + 0 + 0*k**4 - 2*k**2. Factor d(j).
-(j - 1)*(j + 1)/2
Factor 10*k**2 + 2*k**4 - 6*k - 22/3*k**3 + 4/3.
2*(k - 1)**3*(3*k - 2)/3
Let j(n) be the third derivative of -n**2 + 1/120*n**5 - 1/16*n**4 + 0 + 1/6*n**3 + 0*n. Factor j(q).
(q - 2)*(q - 1)/2
Let s(l) = -6*l**2 + 4*l + 5. Let q(x) = 7*x + 2 + 3 - 11*x**2 + 4. Let o(z) = -3*q(z) + 5*s(z). Factor o(y).
(y - 1)*(3*y + 2)
Let m(l) be the second derivative of -l**5/80 - l**4/24 + l**3/24 + l**2/4 + 9*l. Suppose m(x) = 0. What is x?
-2, -1, 1
Let s(r) = -9*r**4 - 15*r**3 + 3*r**2 + 7*r + 14. Let c(a) = -6*a**4 - 10*a**3 + 2*a**2 + 5*a + 9. Let f(d) = -8*c(d) + 5*s(d). Factor f(i).
(i - 1)*(i + 1)**2*(3*i + 2)
Let t be (-2)/(-11) - 31/(-11). Suppose 5*i + 4*c - 14 = 0, 2 = t*c - 1. Solve -14/5*s**2 + 4/5 + i*s = 0.
-2/7, 1
Find r such that 28/3*r - 98/3 - 2/3*r**2 = 0.
7
Factor 20*m + 7 - 48*m**2 + 4*m**3 + 16*m**4 + 3 - 2.
4*(m - 1)**2*(m + 2)*(4*m + 1)
Suppose 0 = -2*u - 5 + 15. Suppose 0 = 5*p - 3 - 12. Solve -25*d**p + 8*d**5 + u*d + 12*d**5 - 6*d**4 + 19*d**2 - 2 - 11*d**4 = 0.
-1, -2/5, 1/4, 1
Let x = 1519/30 - 224/5. Let g = 13/2 - x. Factor 1/3*y**2 - g*y + 1/3.
(y - 1)**2/3
Suppose -4*f + 7*f - 6 = 0. Let d = -2 + f. Factor -1/4*m**5 + 1/2*m**3 + 0 - 1/4*m + d*m**4 + 0*m**2.
-m*(m - 1)**2*(m + 1)**2/4
Suppose -2*o = 2*o - 296. Suppose 5*n - 3*n - o = 0. Factor f**2 - n*f - 1 + 37*f.
(f - 1)*(f + 1)
Let o(p) be the first derivative of 2*p**5/45 + p**4/6 + 4*p**3/27 + 35. Find t such that o(t) = 0.
-2, -1, 0
Let o(y) be the third derivative of -y**5/180 - y**4/9 - 7*y**3/18 + 33*y**2. Factor o(c).
-(c + 1)*(c + 7)/3
Let p(m) be the first derivative of 0*m - 2 - 3/5*m**2 + 2/25*m**5 - 2/15*m**3 + 3/10*m**4. Let p(a) = 0. What is a?
-3, -1, 0, 1
Let f = 23/35 - 2/35. Suppose -1/5*q**2 - 4/5*q - f = 0. Calculate q.
-3, -1
Let a = -2 - -11. Let i be (a/(-6))/(2/(-4)). Factor 2*c**2 - c**2 - i*c + 1 + 2*c**3 - 3*c**4 + c**5 + c**2.
(c - 1)**4*(c + 1)
Suppose -4*r = 2 - 18. Suppose -1/6*v**r + 1/3 + 1/2*v - 1/2*v**3 - 1/6*v**2 = 0. What is v?
-2, -1, 1
Factor 0 + 5/3*g**3 - 17/3*g**2 + 2*g.
g*(g - 3)*(5*g - 2)/3
Let w = -26 + 44. Suppose 5*v + 5*h = 10, 5*v + h - w = 4*h. Factor 9/4*f**2 + f**v + 1/4 + 3/2*f.
(f + 1)**2*(4*f + 1)/4
Suppose 1 = -2*g + 9. Let w be (23 - 15) + g/(-1). Factor -1/5*y**2 - 1/5*y**3 + 0 + 1/5*y**w + 1/5*y.
y*(y - 1)**2*(y + 1)/5
Let q(s) be the second derivative of s**5/120 + s**4/24 - s**2/3 + 5*s. Factor q(h).
(h - 1)*(h + 2)**2/6
Let o = -2/279 + 64/279. Let -2/9 + o*l**2 + 0*l = 0. What is l?
-1, 1
Suppose -4*p = 3*j + 2, -2 = -2*j - p - 0. Let b(i) = 2*i - 8. Let t be b(6). Factor -2*g**2 + 3*g**2 - t*g - 4 - j*g**2.
-(g + 2)**2
Let 3/4*g + 3/2 - 3/4*g**2 = 0. What is g?
-1, 2
Let o(d) be the second derivative of d**8/960 + d**7/1260 - d**4/3 + 4*d. Let h(r) be the third derivative of o(r). Determine c, given that h(c) = 0.
-2/7, 0
Let f(b) be the third derivative of b**8/10080 - b**7/840 + b**6/180 - 7*b**5/60 + 11*b**2. Let c(v) be the third derivative of f(v). Factor c(m).
2*(m - 2)*(m - 1)
Let f(k) be the second derivative of 0 - 1/70*k**5 + 1/21*k**3 - 1/7*k**2 + 1/42*k**4 + 3*k. Factor f(r).
-2*(r - 1)**2*(r + 1)/7
Let l = 119/2 + -59. Let j(m) be the first derivative of -2 + l*m + 3/8*m**2 + 1/12*m**3. Factor j(o).
(o + 1)*(o + 2)/4
Let r(j) be the third derivative of j**6/60 - j**5/30 - j**4/6 + 3*j**2. Factor r(z).
2*z*(z - 2)*(z + 1)
Let j(h) = -h**5 + h**4 + h**3 + h**2 - h. Let d(w) = 5*w**5 + 8*w**4 + 2*w**3 - 10*w**2 + 2*w. Let b(v) = -d(v) - 2*j(v). Find x such that b(x) = 0.
-2, 0, 2/3
Suppose -10 - 2 = -3*d. Factor -2*k**d - k**3 - k**2 - k**3 + 0*k**2 + 5*k**3.
-k**2*(k - 1)*(2*k - 1)
Suppose 4*j + 16 = 0, -4*j + 20 = 4*v - 8*j. Let i(q) be the first derivative of 1/3*q**3 - v - 1/2*q**2 - 1/12*q**4 + 1/3*q. Find b, given that i(b) = 0.
1
Let m(q) be the third derivative of 1/300*q**5 + 2*q**2 + 0*q**3 - 1/1050*q**7 + 0 - 1/600*q**6 + 1/120*q**4 + 0*q. Solve m(s) = 0.
-1, 0, 1
Let p(v) be the first derivative of 1/3*v - 1/6*v**4 - 1 - 2/9*v**3 + 1/18*v**6 + 1/15*v**5 + 1/6*v**2. Suppose p(g) = 0. Calculate g.
-1, 1
Factor -25/2*o**3 + 10*o**2 - 2*o + 0.
-o*(5*o - 2)**2/2
Let b(r) be the first derivative of 3*r**4/28 - 3*r**3/7 - 3. Factor b(m).
3*m**2*(m - 3)/7
Let t(v) be the third derivative of 0*v + v**2 - 1/180*v**5 - 1/18*v**4 - 2/9*v**3 + 0. Factor t(a).
-(a + 2)**2/3
Let p(f) be the first derivative of f**4/4 - 3*f**3 + 27*f**2/2 + 2*f - 4. Let s(n) be the first derivative of p(n). Factor s(q).
3*(q - 3)**2
Suppose 0 = -2*l - 19 + 43. Suppose 2*t + 3*t = -q + 7, 5*q + 2*t = l. Factor 6/5*f + 6/5*f**q + 2/5 + 2/5*f**3.
2*(f + 1)**3/5
Let o(c) be the second derivative of c**5/420 - c**4/56 - 2*c**3/21 - 3*c**2 + 8*c. Let i(m) be the first derivative of o(m). Factor i(k).
(k - 4)*(k + 1)/7
Suppose 4*j + 4 = 4*a, 0 = 4*a - 2*a - 4*j - 4. Factor a*m + 0 + 2/3*m**2.
2*m**2/3
Let c(x) be the first derivative of -x**6/15 - x**5/25 + x**4/5 + 2*x**3/15 - x**2/5 - x/5 - 26. What is d in c(d) = 0?
-1, -1/2, 1
Let b(a) be the third derivative of a**8/504 - a**6/180 + 11*a**2. Solve b(v) = 0 for v.
-1, 0, 1
Let b(v) = 6*v**5 - 6*v**4 - 14*v**3 + 34*v**2. Let o(k) = 13*k**5 - 11*k**4 - 27*k**3 + 69*k**2. Let r(w) = -5*b(w) + 2*o(w). Suppose r(x) = 0. What is x?
-2, 0, 2
Let d(f) = f**3 - 7*f**2 + 5*f + 10. Let j be (-32)/(-6) - (-2)/3. Let h be d(j). Factor 0*z + 0 - 1/4*z**2 - 1/4*z**h - 1/2*z**3.
-z**2*(z + 1)**2/4
Factor -16*o**2 + 4*o + 0*o**3 + 21*o**2 + o**3.
o*(o + 1)*(o + 4)
Let w(y) be the first derivative of -7*y**5/30 - y**4/2 + 25*y**3/18 - y**2/2 - 11. Find l, given that w(l) = 0.
-3, 0, 2/7, 1
Let q(r) be the second derivative of -r**7/231 - r**6/33 - r**5/22 + 5*r**4/66 + 2*r**3/11 - 16*r. Solve q(w) = 0.
-3, -2, -1, 0, 1
Let m be 8/(-3)*12/(-8). Determine k so that 6*k**2 + 2*k**4 - k**3 + k - 5*k**2 + k**4 - 4*k**m = 0.
-1, 0, 1
Factor 2/11*m**2 + 0 - 6/11*m.
2*m