**2 - 3*q**4 - 2*q - q**4 + m*q**3 - 2*q = 0. What is q?
-2/5, 0, 1, 2
Let c(n) = 21*n**4 - 6*n**3 - 21*n**2 + 4*n + 2. Let b(w) = 42*w**4 - 12*w**3 - 42*w**2 + 7*w + 5. Let x(d) = -2*b(d) + 5*c(d). Factor x(u).
3*u*(u - 1)*(u + 1)*(7*u - 2)
Let m = 0 + 4. Factor -5*z**3 + z**3 - z**5 - 3*z**m + z**4 + 3*z**3.
-z**3*(z + 1)**2
Let w(q) be the second derivative of 0 - 1/4*q**4 + 1/2*q**3 - 3/20*q**5 + 3/2*q**2 - 4*q. Let w(u) = 0. What is u?
-1, 1
Solve 4/7 + 2*o + 16/7*o**2 + 6/7*o**3 = 0.
-1, -2/3
Let f = -47 - -50. Let r(j) be the second derivative of 0*j**f - 2*j + 0 + 1/6*j**4 + 0*j**2. Factor r(b).
2*b**2
Let l(t) = t**3 - 5*t**2 - 4*t + 23. Let v be l(5). Factor -3/4*p**v + 0*p + 0 - 3/4*p**2.
-3*p**2*(p + 1)/4
Let f = 901 + -4487/5. Factor -2/5*w**2 - 12/5*w - f.
-2*(w + 3)**2/5
Let s be 18/56 + 5/20. Solve -s*q + 4/7*q**3 + 2/7 - 2/7*q**4 + 0*q**2 = 0 for q.
-1, 1
Factor -26*p**2 + 18*p**2 + 2*p**3 - 12 - 8*p**2 + 26*p.
2*(p - 6)*(p - 1)**2
Let k(w) be the third derivative of -w**6/12 + w**5/4 + 5*w**4/8 - 5*w**3/3 - 5*w**2. Factor k(z).
-5*(z - 2)*(z + 1)*(2*z - 1)
Let s(m) be the first derivative of -2*m**5/5 + m**4/2 + 2*m**3/3 - m**2 + 10. Factor s(d).
-2*d*(d - 1)**2*(d + 1)
Let d(s) = -s**2 - 7*s - 8. Let m be d(-6). Let q be (-3 + -1)/(m - 4). Solve -q*t**2 + 0 - 2/3*t = 0 for t.
-1, 0
Suppose -f + 2 + 1 = 0. Let d be 1 + (1 - 0) + 2. Factor -3*l**f + 3*l**3 + l**d.
l**4
Determine p, given that -p - 3*p - 3*p**3 + 2*p + 5*p**3 = 0.
-1, 0, 1
Let g(q) be the first derivative of -1/2*q**6 - 3/2*q**2 + 1 - 2*q**3 + 3*q + 3/5*q**5 + 3/2*q**4. Solve g(x) = 0.
-1, 1
Find q, given that -q**3 - q**3 + 2*q**3 + 4*q**3 = 0.
0
Let w be 63*1 - (-16)/8. Let f = w + -43. Factor 3*n**2 - n + 3*n**4 - 25*n**3 + f*n**3 - 2*n**4.
n*(n - 1)**3
Let r(q) be the third derivative of -q**7/210 + q**5/30 - q**3/6 - q**2. Factor r(u).
-(u - 1)**2*(u + 1)**2
Let y(u) be the first derivative of -5*u**6/6 + 8*u**5/5 + 9*u**4/4 - 8*u**3/3 - 2*u**2 + 60. Let y(n) = 0. Calculate n.
-1, -2/5, 0, 1, 2
Let s(c) be the first derivative of 3*c**3/2 + 39*c**2/8 + 3*c/2 - 24. Factor s(h).
3*(h + 2)*(6*h + 1)/4
Let h be ((-8)/(-6))/((-6)/(-9)). Suppose 10 = -2*a + 2*b, -4*a = -5*b + h*b + 15. Solve 1/3*z + a + z**3 + 4/3*z**2 = 0 for z.
-1, -1/3, 0
Let n(t) be the first derivative of t**6/2160 - t**5/360 + t**4/144 - t**3/3 + 2. Let u(p) be the third derivative of n(p). Factor u(c).
(c - 1)**2/6
Factor 0*q**5 + 0*q**5 + 8*q**2 - 12*q**3 + 4*q**5.
4*q**2*(q - 1)**2*(q + 2)
Let r(v) be the first derivative of 0*v - 2 + 0*v**5 + 1/2*v**6 + 3/2*v**2 - 3/2*v**4 + 0*v**3. Factor r(q).
3*q*(q - 1)**2*(q + 1)**2
Let j = 38 + -36. Factor -1/5*u + 2/5 - 1/5*u**j.
-(u - 1)*(u + 2)/5
Let h(r) be the third derivative of -1/240*r**5 - 1/48*r**4 + 3*r**2 + 0*r - 1/24*r**3 + 0. Factor h(b).
-(b + 1)**2/4
Suppose 4*x = -4*n - 5 + 1, n = -3*x - 1. Suppose x = c + 4 - 6. Find w, given that -w**2 - 2*w - 2*w**2 + 2*w**3 + 2 + w**c = 0.
-1, 1
Let x(t) be the third derivative of 1/40*t**6 + 6*t**2 + 0 - 1/112*t**8 + 0*t**3 + 1/70*t**7 + 0*t - 1/20*t**5 + 0*t**4. Let x(i) = 0. What is i?
-1, 0, 1
Factor 3*x - 6*x + 5*x**2 - 8*x**2.
-3*x*(x + 1)
Solve -25/3*q + 20/3*q**2 - 5/3*q**3 + 10/3 = 0.
1, 2
Let g(y) be the first derivative of 3*y**5/5 - 7*y**4/2 - 44*y**3/3 - 17*y**2 - 7*y + 36. Solve g(q) = 0.
-1, -1/3, 7
Let f = -3 - -5. Let t(p) = p**3 + 5*p**2 - 3*p - 3. Let a be t(-5). Factor -3*r**f + r**2 - a - 8*r + 4.
-2*(r + 2)**2
Let a = 69 + -66. Let p(m) be the second derivative of 0 + 1/3*m**2 + 1/72*m**4 - 2*m + 1/9*m**a. Factor p(z).
(z + 2)**2/6
Factor -11/8*m**4 - 5/8*m + 1/4 - 31/8*m**3 - 27/8*m**2.
-(m + 1)**3*(11*m - 2)/8
Let j = 12 + -10. Let o(i) = -15*i**2 + i - 5. Let h(b) = 7*b**2 + 2. Let u(c) = j*o(c) + 5*h(c). Solve u(l) = 0 for l.
-2/5, 0
Let u = -162 + 165. Solve -8*n**4 + 2*n**u + 7*n**2 + 1 - 11/2*n + 7/2*n**5 = 0.
-1, 2/7, 1
Let g(l) be the first derivative of l**4/78 - l**3/13 + 2*l**2/13 - 3*l + 5. Let o(z) be the first derivative of g(z). Suppose o(v) = 0. What is v?
1, 2
Let r = -1 + 23. Suppose -15*y**2 + 34*y**2 - r*y**2 = 0. Calculate y.
0
Let n(p) be the first derivative of 2*p**5/45 - 5*p**4/18 + 2*p**3/3 - 7*p**2/9 + 4*p/9 + 17. Factor n(w).
2*(w - 2)*(w - 1)**3/9
Let m be -3 + 5 + 2 - (-2 + 4). Factor -11/5*q + q**m + 3/5 + 3/5*q**3.
(q - 1)*(q + 3)*(3*q - 1)/5
Suppose 7 + 8 = 5*w. Let p(m) be the first derivative of 0*m**3 - 1/4*m**4 - 1/10*m**5 + 1/2*m + w + 1/2*m**2. Let p(n) = 0. Calculate n.
-1, 1
Let d(h) be the second derivative of 0 - 1/4*h**2 + 1/8*h**3 + 3*h - 1/48*h**4. Factor d(v).
-(v - 2)*(v - 1)/4
Suppose 5*q - 21 = -6. Suppose 1 = -f + q. Suppose 0*v**f + 3*v**2 + 3*v - 4*v**3 + v**3 - 3*v**4 = 0. What is v?
-1, 0, 1
Find x such that 0*x - 1/6*x**5 - 1/2*x**3 + 0 + 1/2*x**4 + 1/6*x**2 = 0.
0, 1
Let k(r) = -191*r**3 - 667*r**2 + 432*r - 69. Let j(z) = 96*z**3 + 334*z**2 - 216*z + 34. Let m(t) = -5*j(t) - 2*k(t). Factor m(g).
-2*(g + 4)*(7*g - 2)**2
Let y = -3 + 6. Factor 44*d + 81*d**y + 0 - 4*d**2 + 8 + 113*d**2 + 27*d**4 - 19*d**2.
(d + 1)*(3*d + 2)**3
Let c(y) be the first derivative of -y**6/39 - 12*y**5/65 - 7*y**4/13 - 32*y**3/39 - 9*y**2/13 - 4*y/13 + 14. Find q such that c(q) = 0.
-2, -1
Let n(x) be the first derivative of -125*x**6/2 + 255*x**5 - 855*x**4/2 + 378*x**3 - 1863*x**2/10 + 243*x/5 - 7. Factor n(a).
-3*(a - 1)*(5*a - 3)**4/5
Let v = 3 + -2. Let p = v + 1. Solve 6*z**3 - p*z**2 + z**5 + z**5 - z**4 - 5*z**4 = 0.
0, 1
Let g(t) be the third derivative of 4*t**7/1155 + t**6/220 - t**5/330 + 24*t**2. Find z such that g(z) = 0.
-1, 0, 1/4
Let h(n) be the third derivative of -n**9/5040 - 3*n**8/2240 - n**7/280 - n**6/240 - n**4/12 + 3*n**2. Let b(u) be the second derivative of h(u). Factor b(s).
-3*s*(s + 1)**3
Let a(i) be the second derivative of -i**5/90 + i**4/18 - i**3/9 - i**2/2 + i. Let j(f) be the first derivative of a(f). Factor j(h).
-2*(h - 1)**2/3
Let v(w) be the third derivative of w**6/600 + w**5/75 + w**4/30 + 7*w**2. Determine d, given that v(d) = 0.
-2, 0
Let l(a) be the second derivative of a**5/120 - a**4/24 + a**3/12 + a**2/2 - 3*a. Let x(k) be the first derivative of l(k). Find j such that x(j) = 0.
1
Suppose 0*s + s + 4*o = -2, -4*o - 4 = 0. Let -25*j**2 - 2*j**s + 7*j - j = 0. What is j?
0, 2/9
What is d in 20/3*d**2 - 10/3*d + 10/3*d**3 - 5 - 5/3*d**4 = 0?
-1, 1, 3
Let y(f) be the second derivative of 7*f**5/80 - 9*f**4/8 + 4*f**3 + 4*f**2 - 12*f. Factor y(i).
(i - 4)**2*(7*i + 2)/4
Let n be (48/(-42))/((-6)/21). Let 3*m**4 - m**n - 3*m**4 + 0*m**2 + m**2 = 0. What is m?
-1, 0, 1
Let c(d) = d**3 + d**2 - 11*d - 1. Let m(k) = -4*k**3 - 2*k**2 + 32*k + 2. Let i(g) = 14*c(g) + 5*m(g). Factor i(r).
-2*(r - 1)*(r + 1)*(3*r - 2)
Let c(r) be the second derivative of -3*r**5/20 + 3*r**4/4 - r**3 + 3*r. Factor c(h).
-3*h*(h - 2)*(h - 1)
Let t(v) be the second derivative of -v**6/120 - v**5/40 + v**3/6 - 6*v. Let u(z) be the second derivative of t(z). Factor u(f).
-3*f*(f + 1)
Let v(t) be the second derivative of -t**7/189 - t**6/27 - t**5/15 + 2*t**4/27 + 8*t**3/27 - 4*t. Suppose v(o) = 0. Calculate o.
-2, 0, 1
Factor 115*r**3 + 13 - 112*r**3 - 9*r**2 - 1.
3*(r - 2)**2*(r + 1)
Let f be 1 + (1/(-5) - (-10)/(-25)). Factor -f + 4/5*u - 2/5*u**2.
-2*(u - 1)**2/5
Factor 3*a**2 + 15 + 2*a**2 - 4*a**2 - 16.
(a - 1)*(a + 1)
Let j(c) be the second derivative of -c**7/70 + c**6/25 - c**4/10 + c**3/10 - 8*c. Factor j(a).
-3*a*(a - 1)**3*(a + 1)/5
Let d(x) be the first derivative of -x**6/5 - 21*x**5/25 - 27*x**4/20 - x**3 - 3*x**2/10 - 12. Solve d(y) = 0 for y.
-1, -1/2, 0
Let u(f) be the third derivative of f**5/40 - f**3/4 - 4*f**2. Factor u(s).
3*(s - 1)*(s + 1)/2
Let s be 7/4 - (-6)/(-24). Let -s*m - 3*m**2 - 3/2*m**3 + 0 = 0. What is m?
-1, 0
Let a(h) = h**2 + h + 1. Let s(n) = -2*n**3 + 10*n**2 + 12*n + 10. Let q(z) = 10*a(z) - s(z). Factor q(i).
2*i*(i - 1)*(i + 1)
Let p be 4*(3/(-2) + 2). Factor 3*s + s**2 - p*s - s.
s**2
Let c = 192 + -188. Let g(t) be the second derivative of -4*t + 0 + 1/18*t**c - 1/9*t**3 + 0*t**2. Factor g(l).
2*l*(l - 1)/3
Let u(h) be the third derivative of -h**8/3360 + h**7/1260 + h**4/12 - 2*h**2. Let t(o) be the second derivative of u(o). Determine l, given that t(l) = 0.
0, 1
Let x(p) b