-1, 1
Suppose -18*t = -14*t. Let y(m) be the third derivative of -1/300*m**6 + 0*m + m**2 - 1/150*m**5 + t + 0*m**3 + 1/60*m**4 + 1/525*m**7. Factor y(o).
2*o*(o - 1)**2*(o + 1)/5
What is c in 32/3 - 8*c**3 + 224/3*c**2 - 160/3*c - 30*c**4 = 0?
-2, 2/5, 2/3
Let w(m) = 8*m**4 - 8*m**2 - 6*m - 6. Let h(u) = -24*u**4 - u**3 + 23*u**2 + 17*u + 17. Let s(b) = 6*h(b) + 17*w(b). Factor s(g).
-2*g**2*(g + 1)*(4*g - 1)
Suppose r + 2*r = 0. Suppose r = -n + 2*n. What is v in 5 - 2*v - 2*v**2 - 3 + 2*v**3 + n = 0?
-1, 1
Suppose 4*o + t + 7 = 18, 3*t = -o - 11. Factor -2/3*w - 2*w**o + 0 + 10/3*w**3 - 2/3*w**2.
-2*w*(w - 1)**2*(3*w + 1)/3
Let y(d) be the third derivative of 2*d**2 + 1/180*d**5 + 0*d + 1/48*d**4 + 1/36*d**3 + 0. Factor y(c).
(c + 1)*(2*c + 1)/6
Let j(x) be the third derivative of x**10/75600 + x**9/30240 - x**8/10080 - x**7/2520 - x**5/15 + 4*x**2. Let w(m) be the third derivative of j(m). Factor w(v).
2*v*(v - 1)*(v + 1)**2
Let o(t) = 9*t**4 - 111*t**3 + 111*t**2 - 30*t - 21. Let h(v) = v**4 - 11*v**3 + 11*v**2 - 3*v - 2. Let m(y) = 21*h(y) - 2*o(y). What is n in m(n) = 0?
0, 1
Factor -3/4*u**3 + 3*u**2 + 0 + 0*u.
-3*u**2*(u - 4)/4
Let m be (2 - 0) + 4 + -1. Solve 3*o**3 - 6*o**2 + 2*o - 2*o**3 + 0*o**2 - 2*o**4 + m*o**3 = 0 for o.
0, 1
Let n(u) be the second derivative of u**6/60 + u**5/20 - 23*u**4/24 - 2*u**3 + 36*u**2 + 2*u - 21. Factor n(o).
(o - 3)**2*(o + 4)**2/2
Let d(k) be the first derivative of 1/12*k**3 + 5 + 0*k - 1/4*k**2. Solve d(v) = 0.
0, 2
Factor 16/9*r + 2/9*r**2 + 32/9.
2*(r + 4)**2/9
Let w(s) be the second derivative of s**7/21 + 2*s**6/5 + 13*s**5/10 + 2*s**4 + 4*s**3/3 + 8*s. Factor w(d).
2*d*(d + 1)**2*(d + 2)**2
Let o(f) be the first derivative of -7*f**4/32 + f**3/2 + f**2/4 - 1. Determine w so that o(w) = 0.
-2/7, 0, 2
Let y(k) = -4*k**4 + 4*k**3 + 2*k**2 + 3*k. Let r(l) = 5*l**4 - 5*l**3 - 2*l**2 - 4*l. Let b(j) = 3*r(j) + 4*y(j). Solve b(v) = 0.
-1, 0, 2
Let m = 571/10 + -57. Let k(l) be the first derivative of -1/3*l**3 + 1 + m*l**5 + 0*l**4 + 0*l**2 + 1/2*l. Let k(g) = 0. Calculate g.
-1, 1
Let l(v) be the third derivative of 3*v**8/11200 + v**7/420 + 7*v**6/900 + v**5/75 + v**4/24 - 3*v**2. Let u(c) be the second derivative of l(c). Factor u(a).
(a + 2)*(3*a + 2)**2/5
What is i in 1/4*i**5 - 7/12*i**3 - 3/4*i**2 + 1/3 + 1/3*i + 5/12*i**4 = 0?
-2, -1, -2/3, 1
Let u(g) = g**3 - g**2 + 8*g - 8. Let d(r) = r. Let v(k) = k + 1. Let f(h) = -2*d(h) + v(h). Let p(q) = -18*f(q) - 2*u(q). Factor p(s).
-2*(s - 1)**2*(s + 1)
Let s = 58 - 58. Find k, given that -1/4 + 1/4*k**2 + s*k = 0.
-1, 1
Find c, given that 3/7*c**4 + 12/7*c**3 - 12/7*c**2 - 3/7*c**5 + 0 + 0*c = 0.
-2, 0, 1, 2
Let b(w) be the third derivative of 0 - 1/27*w**3 + 2*w**2 + 0*w + 0*w**4 + 1/270*w**5. Factor b(y).
2*(y - 1)*(y + 1)/9
Let a = 6 - 6. Suppose 3 - 3 - i**3 + a + i + i**4 - i**2 = 0. What is i?
-1, 0, 1
Factor 5/2*n**4 + 10*n**2 - 33/4*n**3 - 1/4*n**5 + 0 - 4*n.
-n*(n - 4)**2*(n - 1)**2/4
Let s(o) be the second derivative of o**7/35 + o**6/75 - 3*o**5/50 - o**4/30 - 8*o. Solve s(t) = 0 for t.
-1, -1/3, 0, 1
Let t(o) be the second derivative of -o**5/10 + o**3/3 - 46*o. Factor t(z).
-2*z*(z - 1)*(z + 1)
Let d(t) be the third derivative of -t**7/1365 + t**6/260 - t**5/130 + t**4/156 - 14*t**2. Factor d(u).
-2*u*(u - 1)**3/13
Suppose -2*r + 10 = 6. Let d(c) be the second derivative of 2*c - 1/24*c**4 + 0 + 1/84*c**7 + 3/40*c**5 - 1/20*c**6 + 0*c**r + 0*c**3. Factor d(m).
m**2*(m - 1)**3/2
Determine d, given that 8/5 + 18/5*d + 12/5*d**2 + 2/5*d**3 = 0.
-4, -1
Let l(d) = 3*d - 19. Let x be l(8). Let -102*i**3 - 16*i - i**4 - 32 + 122*i**3 + 24*i**2 + x*i**4 = 0. What is i?
-2, 1
Let q = 256 - 2294/9. Factor -4/3*p + 2/9 + q*p**2.
2*(p - 1)*(5*p - 1)/9
Let n = 21 + -19. Factor 0 + 3/4*l**n + 3/4*l.
3*l*(l + 1)/4
Let t = 0 + 3. Let k(r) be the first derivative of 4*r**t - 1 + 1/2*r**2 - r. Factor k(i).
(3*i + 1)*(4*i - 1)
Let z(a) be the third derivative of -1/180*a**5 + 0 + 0*a**4 - a**2 + 0*a + 0*a**3. Factor z(l).
-l**2/3
Let q(c) be the first derivative of c**4/22 - 2*c**3/33 - c**2/11 + 2*c/11 - 5. Factor q(u).
2*(u - 1)**2*(u + 1)/11
Let c(m) = 4*m**2 - 6*m + 2. Let h(x) = -x**3 - 4*x**2 - 4*x - 2. Let l be h(-2). Let w(r) = -r**2 + r. Let a(j) = l*w(j) - c(j). Factor a(z).
-2*(z - 1)**2
Let u = -350 + 1052/3. Suppose -3*g**2 + 7/3*g**3 + u*g + 0 = 0. What is g?
0, 2/7, 1
Let m = 24 - 14. Let h be m/4 - (-2)/(-4). Suppose s**2 + 4*s - 3*s**3 - 4*s**h - s**2 = 0. Calculate s.
-2, 0, 2/3
Let h be ((-140)/75 - 4/(-6)) + 2. Factor -y + 1/5 + h*y**2.
(y - 1)*(4*y - 1)/5
Let m(z) be the third derivative of z**8/392 + z**7/35 - z**6/70 - 23*z**5/35 + 65*z**4/28 - 25*z**3/7 + 12*z**2. Factor m(d).
6*(d - 1)**3*(d + 5)**2/7
Let w(d) be the third derivative of d**6/120 + d**5/20 - 5*d**3/6 + 6*d**2. Let k(x) be the first derivative of w(x). Factor k(m).
3*m*(m + 2)
Let v = -73 - -73. Factor t**3 + 1/3*t**5 + 1/3*t**2 + t**4 + v*t + 0.
t**2*(t + 1)**3/3
Let m(l) be the third derivative of l**8/84 - 4*l**7/35 + 2*l**6/5 - 8*l**5/15 + 2*l**2. Factor m(d).
4*d**2*(d - 2)**3
Let g = -29167/7 - -4159. Let p = g - -500/63. Factor 0 + 2/9*c**2 - 2/9*c**3 + p*c - 2/9*c**4.
-2*c*(c - 1)*(c + 1)**2/9
Let z(y) = y**3 + 59*y**2 + 60*y + 35. Let f(v) = 20*v**2 + 20*v + 12. Let w(a) = -11*f(a) + 4*z(a). What is t in w(t) = 0?
-2, -1
Let m(l) be the first derivative of -2*l**3/15 + l**2/5 + 8. Solve m(g) = 0 for g.
0, 1
Let v(p) be the second derivative of 0*p**2 + 0 + 0*p**3 - 1/72*p**4 + 7*p. Factor v(q).
-q**2/6
Factor 0*z + 1/4*z**2 - 1/4.
(z - 1)*(z + 1)/4
Let a(x) be the third derivative of -x**8/1512 + x**7/945 + x**6/540 - x**5/270 - 42*x**2. Let a(o) = 0. Calculate o.
-1, 0, 1
Let q = 10 + -7. Let v(u) be the third derivative of 0*u**4 - 1/60*u**6 - 1/30*u**5 + 0*u + 0 + 0*u**q + u**2. Factor v(x).
-2*x**2*(x + 1)
Determine d so that -3*d**4 + 0*d + 10*d - 24*d**2 + 9*d**3 + 2*d + 6*d**3 = 0.
0, 1, 2
Let z(x) = x - 6. Let m be z(8). Suppose m*q + 3*q = u, -5*q - 5*u = 0. Factor q*n - 1/2*n**2 + 0.
-n**2/2
Find u, given that 1/3*u**3 - 1/3*u + 1/3*u**2 + 0 - 1/3*u**4 = 0.
-1, 0, 1
Factor -8*r + 0*r - 4 - 14*r - 26*r**2 - 8*r**3.
-2*(r + 1)*(r + 2)*(4*r + 1)
Let q be 6/((-72)/(-4)) + 22/6. Let j(i) be the second derivative of 0 + 1/60*i**q + 0*i**2 + 1/30*i**3 - i. Let j(r) = 0. Calculate r.
-1, 0
Let w be (-2)/(-11) - (10/(-66) + 0). Determine y so that w*y**2 + 1/3 + 2/3*y = 0.
-1
Let m(w) be the second derivative of 0 - 1/10*w**2 + 1/15*w**3 - 1/60*w**4 + 7*w. Let m(j) = 0. What is j?
1
Let j(v) = -v**3 - 3*v**2 - v + 2. Let f be j(-3). Let r(y) = -y**2 + y. Let t(q) = 3*q**2 - 5*q + 2. Let n(o) = f*r(o) + t(o). Factor n(a).
-2*(a - 1)*(a + 1)
Let d(v) be the second derivative of 0*v**2 + 1/24*v**4 + 1/10*v**5 + 0*v**3 + 0 + 2*v. Factor d(q).
q**2*(4*q + 1)/2
Factor 0*u**3 + 0*u + 0 - 2/7*u**4 + 0*u**2.
-2*u**4/7
Let y(t) = 2*t**5 - 4*t**4 - 2*t**3 + 4*t**2. Let r(n) = n**4 - n**3. Let d(o) = 4*r(o) + y(o). Factor d(v).
2*v**2*(v - 1)**2*(v + 2)
Let h(y) be the first derivative of y**6/3 - 14*y**5/5 + 19*y**4/2 - 50*y**3/3 + 16*y**2 - 8*y + 1. Factor h(l).
2*(l - 2)**2*(l - 1)**3
Let b(j) = 3*j**4 - 4*j**3 - 3*j**2 + 4*j - 4. Suppose 0 = 5*a + 2 - 22. Let u(f) = f**4 - f**3 - f**2 + f - 1. Let n(c) = a*u(c) - b(c). Solve n(q) = 0.
-1, 0, 1
Let g(k) = 3*k**4 + 4*k**2 - 7. Let f(y) = -2*y**4 - 4*y**2 + 6. Let b(v) = 5*f(v) + 4*g(v). Factor b(j).
2*(j - 1)**2*(j + 1)**2
Let j(p) be the second derivative of -8*p**3 + 0 + 7/10*p**6 - 57/20*p**5 - 1/14*p**7 + 6*p**2 + 25/4*p**4 + 5*p. Factor j(w).
-3*(w - 2)**2*(w - 1)**3
Let p(q) be the second derivative of q**4/48 + q**3/12 + q**2/8 + q. What is g in p(g) = 0?
-1
What is q in -20*q**3 - 39*q**3 + 9*q**2 + 38*q**3 - 3*q**2 = 0?
0, 2/7
Let h(j) be the second derivative of -3*j**5/100 + j**3/10 - 21*j. Find q, given that h(q) = 0.
-1, 0, 1
Let p = 53/141 + -2/47. Find y such that 1/3*y**3 - 1/3*y - 1/3 + p*y**2 = 0.
-1, 1
Let b(y) be the first derivative of y**3/9 - y**2/3 + y/3 - 4. Let b(t) = 0. What is t?
1
Let m(r) be the second derivative of r**4/54 - 16*r**3/27 + 64*r**2/9 + 8*r. Factor m(w).
2*(w - 8)**2/9
Let s(n) = -12*n**2 - 9*n + 5. Let q(v) = 156*v**2 + 117*v - 66. Let i(w) = 2*q(w) + 27*s(w). Sup