5*a*(a - 1)**2*(a + 4)**2
Let a be 3*(-2)/(-5 - -3). Suppose -3*h + 3 = -a. Solve 2/5*t**4 + 4/5*t**3 + 0*t**h - 2/5 - 4/5*t = 0.
-1, 1
Let a(s) = -s**2 + 2*s + 3. Let t be a(-2). Let r = -3 - t. Factor 2*j + j**3 - j**3 + 3*j**2 - j**2 - 2*j**3 - r.
-2*(j - 1)**2*(j + 1)
Let n = -95 + 99. Suppose -26/5*i + 8*i**n - 36/5*i**2 + 18/5*i**5 - 4/5 + 8/5*i**3 = 0. Calculate i.
-1, -2/9, 1
Suppose -2/3*a - 2/3 + 2*a**5 - 10/3*a**4 - 4/3*a**3 + 4*a**2 = 0. What is a?
-1, -1/3, 1
Let l(h) be the first derivative of 7 + 3/7*h**2 + 0*h - 8/21*h**3 + 1/14*h**4. Determine i so that l(i) = 0.
0, 1, 3
Let h(c) be the second derivative of 49*c**5/30 - 7*c**4/3 + 4*c**3/3 - 3*c**2 + 4*c. Let s(q) be the first derivative of h(q). What is b in s(b) = 0?
2/7
Suppose 8/7 + 32/7*c - 4/7*c**3 + 30/7*c**2 - 10/7*c**4 = 0. What is c?
-1, -2/5, 2
Let d(v) be the third derivative of 0 - 1/24*v**4 - 3*v**2 + 1/60*v**5 + 0*v**3 + 0*v. Find o such that d(o) = 0.
0, 1
Let c be 66/21 - (-2)/(-14). Let o = c + 0. What is p in -3 + 3*p**5 - 3*p**2 + 22*p - 7 - 2 + o*p**4 - 15*p**3 + 2*p = 0?
-2, 1
Let 250/11 + 30/11*u**2 - 150/11*u - 2/11*u**3 = 0. What is u?
5
Let c(s) be the third derivative of s**7/210 - s**6/24 + 2*s**5/15 - s**4/6 - 46*s**2. Factor c(n).
n*(n - 2)**2*(n - 1)
Let n(o) be the third derivative of 0*o + 0 + 1/12*o**4 - 1/60*o**6 + 0*o**5 + 4*o**2 + 0*o**3. Factor n(l).
-2*l*(l - 1)*(l + 1)
Factor 6/5*k**3 - 2*k - 16/5*k**2 + 12/5.
2*(k - 3)*(k + 1)*(3*k - 2)/5
Let p = -16 - -35. Suppose -p*x - 16*x**3 + 0*x**3 - 14*x**2 - 6*x**4 + 15*x = 0. What is x?
-1, -2/3, 0
What is c in -6/7*c**2 + 2/7*c**5 + 0 + 2/7*c**3 + 6/7*c**4 - 4/7*c = 0?
-2, -1, 0, 1
Determine t, given that -2/5*t**2 + 0*t + 0*t**3 + 2/5*t**4 + 0 = 0.
-1, 0, 1
Suppose 2*k - 2 = 2. Suppose -3*d = 4*u - 9, 0*u = -2*u + k*d + 8. Suppose i**u + 2/3*i**2 - 1/3*i + 0 = 0. What is i?
-1, 0, 1/3
Suppose -2*z = -3*z + 10. Let j be 3*z/(-15) + 2. Factor 0 + j*v + 2/7*v**2.
2*v**2/7
Let u(v) be the third derivative of -v**8/252 + 2*v**7/315 + v**6/90 - v**5/45 - 17*v**2. Factor u(d).
-4*d**2*(d - 1)**2*(d + 1)/3
Let w(t) be the first derivative of 2*t**3/3 - 2*t - 14. Determine r so that w(r) = 0.
-1, 1
Let q(p) be the first derivative of -p**4/20 + 4*p**3/15 - p**2/2 + 2*p/5 + 9. Factor q(z).
-(z - 2)*(z - 1)**2/5
Factor 2/13*y**4 + 120/13*y + 92/13*y**2 + 50/13 + 24/13*y**3.
2*(y + 1)**2*(y + 5)**2/13
Factor -1/5*t**3 + 0 + 2/5*t**2 - 1/5*t.
-t*(t - 1)**2/5
Let k = -1743/4 - -436. Factor 0 + 0*h + 1/4*h**5 - 1/4*h**2 - 1/4*h**3 + k*h**4.
h**2*(h - 1)*(h + 1)**2/4
Let m(f) be the first derivative of -f**6/720 - f**5/120 - f**4/48 - f**3 + 2. Let n(i) be the third derivative of m(i). Find k, given that n(k) = 0.
-1
Let y(z) = -9*z**5 - 24*z**4 - 36*z**3 + 6*z**2 + 15*z. Let c(w) = -18*w**5 - 49*w**4 - 71*w**3 + 11*w**2 + 30*w + 1. Let j(r) = 6*c(r) - 11*y(r). Factor j(s).
-3*(s + 1)**4*(3*s - 2)
Let f(t) = 20*t**4 - 35*t**3 - 20*t**2 + 35*t - 15. Let d(b) = -3*b**4 + 5*b**3 + 3*b**2 - 5*b + 2. Let z(h) = -15*d(h) - 2*f(h). Factor z(n).
5*n*(n - 1)**2*(n + 1)
Let c(r) = r**3 + r**2 - 3*r - 1. Let d(b) = 9*b**3 + 9*b**2 - 30*b - 9. Suppose 7*j - 3*j = 8. Let w(s) = j*d(s) - 21*c(s). Factor w(o).
-3*(o - 1)*(o + 1)**2
Find d, given that 9/4*d + 0 + 3/2*d**2 - 3/4*d**3 = 0.
-1, 0, 3
Let g(i) = 4*i**2 + 2*i - 6. Let a(n) = 4*n**2 + n - 5. Let v(k) = -7*a(k) + 6*g(k). Let v(x) = 0. Calculate x.
1/4, 1
Suppose 21 + 99 = -4*d. Let h be 0 + -2 + d/(-9). Factor -h - 14/3*m**2 - 6*m.
-2*(m + 1)*(7*m + 2)/3
Let q(s) be the second derivative of 0*s**2 - 1/126*s**7 + 0 + 0*s**3 + 0*s**4 - 3*s - 1/60*s**5 - 1/45*s**6. Find h, given that q(h) = 0.
-1, 0
Let n(o) be the second derivative of 0 + 0*o**5 + 0*o**2 + 0*o**3 - o + 0*o**4 + 1/90*o**6 + 1/252*o**7. Factor n(m).
m**4*(m + 2)/6
Let -6/19*n**3 + 2/19*n**2 + 0*n + 4/19*n**4 + 0 = 0. Calculate n.
0, 1/2, 1
Let o = -5 - 4. Let c be (-3)/o - (2 + -2). Factor c + 2/3*y - 1/3*y**4 - 2/3*y**3 + 0*y**2.
-(y - 1)*(y + 1)**3/3
Let f(s) be the third derivative of 0*s**3 + 0*s + 1/120*s**5 + 1/96*s**4 + 5*s**2 + 1/480*s**6 + 0. Factor f(i).
i*(i + 1)**2/4
Let d(t) be the second derivative of -3*t**7/119 + t**6/17 - 7*t**5/170 + t**4/102 + 10*t. Find k, given that d(k) = 0.
0, 1/3, 1
Let m(p) be the second derivative of -p**6/30 + p**5/20 + p**4/12 - p**3/6 - 4*p. Factor m(d).
-d*(d - 1)**2*(d + 1)
Let a be 4 + (-6)/((-9)/(-3)). Determine y so that 2/3*y - 2/3 - 2/3*y**3 + 2/3*y**a = 0.
-1, 1
Let h(o) = 4*o + o**2 + 0*o**2 - 8 - 8*o. Let d be h(6). Determine s so that s**d - 3*s**3 + 6*s + 2*s**2 - 2*s**5 - 6*s**2 + 5*s**4 - 2 - s**3 = 0.
-1, 1
Determine j, given that -4/7*j**2 + 0 + 0*j - 4/7*j**3 = 0.
-1, 0
Let v = -32 - 43. Let n be (-55)/v + 1/(-3). Find m such that -2/5 - n*m**4 + 4/5*m**2 + 0*m + 0*m**3 = 0.
-1, 1
Let w(v) = 6*v - 44. Let p be w(8). Determine d, given that 2*d + p*d**2 + d**4 + 1/3 + 10/3*d**3 = 0.
-1, -1/3
Let y(t) be the second derivative of t**6/32 + 3*t**5/20 + t**4/8 - t**2 - 2*t. Let k(w) be the first derivative of y(w). Solve k(z) = 0.
-2, -2/5, 0
Let -3/2*u**4 - 1/4*u**5 + 0 + 0*u - 9/4*u**3 + 0*u**2 = 0. Calculate u.
-3, 0
Factor 3*l**3 + 3*l**2 - l + 3*l**2 + 2*l + 2*l.
3*l*(l + 1)**2
Let a = 17 - 5. Let d = -8 + a. Find h, given that -2 - 1 + d*h + h**2 + 1 + 6 = 0.
-2
Let n(p) be the second derivative of -4*p**7/63 - 4*p**6/45 + p**5/10 + p**4/9 - p**3/9 - p. Factor n(z).
-2*z*(z + 1)**2*(2*z - 1)**2/3
Determine m, given that 44*m**2 + 26*m + 18 - 30*m**2 - 98*m**3 - 20*m + 60*m = 0.
-3/7, 1
Let y(l) = 4*l + 2. Let u be y(-2). Let b = -4 - u. Find k, given that -k**2 - 2*k + 3*k**3 - b*k**3 + 1 + 3*k - 2*k**3 = 0.
-1, 1
Suppose q + 15 = 3*k - q, -k + 9 = -2*q. Factor -2/5*g**4 + 0*g**k + 0*g**2 + 0*g + 0.
-2*g**4/5
Factor -3/2*z**2 + 0 - 3/2*z**3 - 1/2*z**4 - 1/2*z.
-z*(z + 1)**3/2
Let r(i) be the second derivative of -i**6/720 - i**5/60 - i**4/12 - 7*i**3/6 - i. Let b(d) be the second derivative of r(d). Factor b(l).
-(l + 2)**2/2
Let v(o) be the second derivative of -5*o**7/42 + o**6/3 + 50*o. Suppose v(i) = 0. What is i?
0, 2
Let f(d) be the second derivative of -1/6*d**3 + 0 + 3*d + 1/2*d**2 + 1/48*d**4. Suppose f(t) = 0. What is t?
2
Suppose 4*m = -m. Let r = 41/2 + -20. Find n, given that m - r*n**2 + n = 0.
0, 2
Determine p so that -1/2*p**3 + 9*p**2 - 1/2*p**4 + 20 + 26*p = 0.
-2, 5
Let y(u) be the first derivative of u**6/48 + 19*u**5/60 + 4*u**4/3 - 8*u**3/3 - u**2/2 - 3. Let v(h) be the second derivative of y(h). Factor v(r).
(r + 4)**2*(5*r - 2)/2
Let s(o) = 16*o**4 + 25*o**3 + 19*o**2 - 9*o - 29. Let d(a) = -3*a**4 - 5*a**3 - 4*a**2 + 2*a + 6. Let b(t) = 11*d(t) + 2*s(t). What is i in b(i) = 0?
-2, 1
Let 0*x + 9/2*x**4 - 15*x**2 - 39/2*x**3 + 0 = 0. Calculate x.
-2/3, 0, 5
Let k be (-1)/(-10)*(-45)/(-6). Suppose 5*p + 0*p + 8 = 2*a, 0 = -4*a + 5*p + 16. Factor 3/4*f**a + 1/4*f**2 + 0*f - k*f**3 + 0 - 1/4*f**5.
-f**2*(f - 1)**3/4
Let l(w) be the first derivative of -8*w**5/55 - w**4/2 + 14*w**3/33 + w**2 - 6*w/11 - 8. Find b such that l(b) = 0.
-3, -1, 1/4, 1
Let g(o) be the second derivative of -o**4/6 + 4*o**3 - 36*o**2 - 9*o + 1. Factor g(k).
-2*(k - 6)**2
Suppose 31 = 11*q - 46. Let d(o) be the third derivative of -3*o**2 + 0*o**3 + 0 - 1/105*o**q + 1/120*o**6 + 0*o + 0*o**4 + 0*o**5 + 1/336*o**8. Solve d(p) = 0.
0, 1
Let m be ((-9)/(-6))/((-1)/(-2)). Factor -5*y**2 - 6*y + 4*y**2 - y**2 + 6*y**3 - 2*y**4 + 1 + m.
-2*(y - 2)*(y - 1)**2*(y + 1)
Let n be 6 - (-1 + 3 + -1). Let p = n - 2. Let -2/3*m**p - 16/3*m**4 + 10/3*m**2 - 8/3*m**5 - 2/3 + 2/3*m = 0. What is m?
-1, 1/2
Let i be 332/(-10) + (-2)/(-10). Let n = -33 - i. Factor n*s - 2/3*s**2 + 0 + 1/3*s**3.
s**2*(s - 2)/3
Let d(f) be the first derivative of 4*f - 2/5*f**5 + 2*f**3 - 4 + 1/2*f**4 - 5*f**2. Let d(s) = 0. What is s?
-2, 1
Let z = -898 - -2702/3. What is l in 16/3 - z*l + 1/3*l**2 = 0?
4
Let z(x) be the first derivative of -49/10*x**4 + 8 - 32/5*x**2 - 154/15*x**3 - 8/5*x. Solve z(a) = 0 for a.
-1, -2/7
Factor 16/11*o**2 - 10/11*o**3 - 2/11*o - 4/11.
-2*(o - 1)**2*(5*o + 2)/11
Let 0 + 2/7*g - 8/7*g**5 + 6/7*g**3 - 10/7*g**4 + 10/7*g**2 = 0. Calculate g.
-1, -1/4, 0, 1
Let x(n) be the first derivative of 1 + 0*n + 0*n**4 + 4/65*n**5 - 4/39*n**3 + 1/39*n**6 - 1/1