 = 0.
-1, 0, 1
Let f(q) be the first derivative of 4*q**3/21 - 4. Factor f(t).
4*t**2/7
Let v(z) be the second derivative of 3*z**5/20 - 23*z**4/4 + 143*z**3/2 - 363*z**2/2 - z + 1. Factor v(s).
3*(s - 11)**2*(s - 1)
Let n(g) = 0*g + g + 3*g + 2 + 3*g**2. Let h(p) = 10*p**2 + 12*p + 5. Let z(y) = -6*y**2 - y. Let o be z(1). Let k(b) = o*n(b) + 2*h(b). Solve k(a) = 0.
-2
Let t = 15 + -12. Let k(z) be the third derivative of t*z**2 + 0 - 1/210*z**7 + 1/30*z**6 + 0*z + 1/12*z**4 + 0*z**3 - 1/12*z**5. Determine d so that k(d) = 0.
0, 1, 2
Let u be 1*(1 - 17)/(-4). Suppose 2 = u*h - 6. Let -147/2*s**4 + 36*s**h + 0 + 6*s + 63/2*s**3 = 0. What is s?
-2/7, 0, 1
Factor 0*n + 0 - 2/3*n**2 - 2/3*n**3.
-2*n**2*(n + 1)/3
Let i(m) = m**2. Let n be i(0). Let g = 3 + n. Solve 4*j**2 - g*j - j**2 + 4*j - 2*j**2 = 0.
-1, 0
Let q be 146/365 - (-4)/(-10). Solve -1/5*i**4 - 1/5*i**3 + 0*i + 0*i**2 + q = 0 for i.
-1, 0
Let i(f) = 3*f**3 - 3*f**2 - 7*f - 5. Let q be (3*-1)/((-3)/4). Let a(k) = -5*k**3 + 6*k**2 + 13*k + 9. Let j(h) = q*a(h) + 7*i(h). Factor j(w).
(w + 1)**3
Solve -1/2*w + 0 - 1/2*w**2 = 0 for w.
-1, 0
Let r(u) be the third derivative of 1/60*u**5 - 1/6*u**3 + 0*u + 0 + 0*u**4 + 2*u**2. Factor r(t).
(t - 1)*(t + 1)
Let b(r) be the third derivative of 7*r**5/120 - r**4/24 + 6*r**2. Let b(f) = 0. Calculate f.
0, 2/7
Let w(t) = -8*t**2 + 10*t - 6. Let k(f) = 2*f - 5 - 7*f**2 + 6*f + f. Let h(b) = 6*k(b) - 5*w(b). Suppose h(z) = 0. Calculate z.
0, 2
Let v(t) be the third derivative of 0 + 0*t + 0*t**3 + t**2 + 1/480*t**6 + 0*t**5 - 1/96*t**4. Suppose v(p) = 0. Calculate p.
-1, 0, 1
Let s(x) be the first derivative of 81*x**7/14 + 9*x**6/2 - 24*x**5/5 + x**4 - 5*x + 1. Let w(f) be the first derivative of s(f). Factor w(k).
3*k**2*(k + 1)*(9*k - 2)**2
Let a be 2/1 + -2 + 3. Suppose 2*j**a - 1 + 2*j**3 + 0*j - 4*j + 2*j**4 - 1 = 0. Calculate j.
-1, 1
Factor 18/7*i**2 + 12/7*i**3 + 12/7*i + 3/7 + 3/7*i**4.
3*(i + 1)**4/7
Let k(q) be the first derivative of -q**3/6 - 3*q**2/8 - q/4 - 4. Factor k(h).
-(h + 1)*(2*h + 1)/4
Let v(o) be the second derivative of -1/30*o**5 + 1/6*o**2 + 1/9*o**3 + 0 - 1/90*o**6 + 6*o + 0*o**4. Find a, given that v(a) = 0.
-1, 1
What is f in -2*f**2 - 2*f**2 + 242*f - 7 - 271*f = 0?
-7, -1/4
Let l be 51/136 - (-6)/(-16). Let -2/5*a + 4/5*a**4 + 0*a**2 + l + 6/5*a**3 = 0. What is a?
-1, 0, 1/2
Let v(s) be the second derivative of 0*s**4 - 1/75*s**6 + 0*s**3 + 4*s + 0 + 0*s**2 + 1/50*s**5 - 2/105*s**7. Factor v(t).
-2*t**3*(t + 1)*(2*t - 1)/5
Let m(z) be the first derivative of z**3/30 + z**2/5 + 2*z/5 - 11. Factor m(b).
(b + 2)**2/10
Let p(y) = 5*y**5 + 8*y**4 + 2*y**3 - 2*y**2 - y + 1. Let k(s) = -s**3 + s - 1. Let x(j) = -4*k(j) - 4*p(j). What is r in x(r) = 0?
-1, 0, 2/5
Factor -a + 1/2*a**2 + 1/2.
(a - 1)**2/2
Let b(n) be the first derivative of 3*n**5/20 + n**4/2 + n**3/2 - n/4 - 6. Find d such that b(d) = 0.
-1, 1/3
Let t(s) be the third derivative of s**5/330 + 14*s**2. Determine r so that t(r) = 0.
0
Let l(g) be the first derivative of -g**6/540 + g**3 - 3. Let s(b) be the third derivative of l(b). Find u, given that s(u) = 0.
0
Let r be 1/2 + (252/(-8))/(-7). Let j(a) be the second derivative of 1/24*a**3 + 1/8*a**2 - 1/80*a**r - a - 1/48*a**4 + 0. Determine h so that j(h) = 0.
-1, 1
Let p(i) be the third derivative of -i**9/12096 + i**8/2240 - i**7/1120 + i**6/1440 - i**3/3 + 3*i**2. Let h(s) be the first derivative of p(s). Factor h(f).
-f**2*(f - 1)**3/4
Let o(i) be the first derivative of -i**6/8 - 3*i**5/10 + 3*i**4/16 + i**3/2 - 1. What is y in o(y) = 0?
-2, -1, 0, 1
Factor -3/8*t**4 + 33/8*t**3 - 27/2*t**2 + 24 + 6*t.
-3*(t - 4)**3*(t + 1)/8
Let x = -17 - -32. Let h = x + -13. Find k such that k**5 + 1/2 - 5/2*k**4 + k**3 + 2*k**h - 2*k = 0.
-1, 1/2, 1
Suppose -5*m - 24*m**3 + 2 + 46*m**3 - 23*m**3 + 4*m**2 = 0. Calculate m.
1, 2
Let f(x) be the third derivative of x**5/24 + 5*x**4/8 + 25*x**3/12 - 15*x**2. Find a such that f(a) = 0.
-5, -1
Let g(z) = -z - 1. Let n(q) = q**2 - q - 2. Let r = 9 - 5. Let j(b) = r*g(b) - 2*n(b). Let j(w) = 0. Calculate w.
-1, 0
Let m(t) be the first derivative of 3*t**4/16 + 50. What is p in m(p) = 0?
0
Let x be 30/(-18) + -2 - -4. Let 1/3 - 2/3*w**2 + x*w = 0. Calculate w.
-1/2, 1
Let j(q) be the second derivative of -q**6/30 + q**5/5 - q**4/4 - 2*q**3/3 + 2*q**2 - 17*q. Solve j(z) = 0.
-1, 1, 2
Factor -14*h + 1 + 22*h - 4*h**2 - 1.
-4*h*(h - 2)
Suppose -14 = -h - 14. Let u(t) be the first derivative of h*t**2 + 0*t**5 + 2 + 1/15*t**6 + 0*t**3 - 1/10*t**4 + 0*t. Let u(o) = 0. Calculate o.
-1, 0, 1
Let h = -4/17 + 46/51. Determine w, given that h*w**2 + 2/3 - 4/3*w = 0.
1
Let y be -5*(18/15 - 2). Factor -3*j - 12*j**4 - 2*j**2 + 2 - j**2 + 7*j**3 + 0*j**2 + 9*j**y.
-(j - 1)**3*(3*j + 2)
Suppose 13 = 5*m + 3*r, 2*r = m - 0*r. Suppose -j = n, -6 = -5*j - 0*j - m*n. Factor 4/5*o**j + 0 + 6/5*o**3 + 0*o.
2*o**2*(3*o + 2)/5
Let j(r) be the first derivative of 36*r**5/5 + 51*r**4/4 - r**3 - 15*r**2/2 + 3*r - 4. Let j(c) = 0. Calculate c.
-1, 1/4, 1/3
Let h(x) = -3*x + 1. Let i be h(1). Let u(z) = -z**3 - z**2. Let v(r) = r**3 + 6*r**2 + 4*r - 1. Let g(f) = i*v(f) - 10*u(f). Solve g(w) = 0.
-1, 1/4, 1
Factor 0*t**2 - 4/13*t**3 + 2/13 - 2/13*t**4 + 4/13*t.
-2*(t - 1)*(t + 1)**3/13
Let u = 22 - 11. Factor -n**2 - 11*n + 1 + u*n.
-(n - 1)*(n + 1)
Suppose -15 = 3*p - 6*p + 3*q, -q = 3*p + 5. Suppose p = -s - 4*s + 10. Find r such that -3*r**2 + 3*r**2 - 2*r**s = 0.
0
Let -43*n**2 + 55*n**2 + 7*n - 3*n = 0. Calculate n.
-1/3, 0
Let r(u) be the third derivative of -u**9/15120 + u**8/1260 - u**7/252 + u**6/90 - u**5/60 - 3*u**2. Let c(y) be the third derivative of r(y). Factor c(b).
-4*(b - 2)*(b - 1)**2
Let t(n) be the third derivative of n**10/302400 - n**9/60480 + n**8/40320 - n**5/30 + 3*n**2. Let q(i) be the third derivative of t(i). Factor q(m).
m**2*(m - 1)**2/2
Factor 2/3 - 5/3*s**2 - s.
-(s + 1)*(5*s - 2)/3
Let z(v) be the first derivative of -4*v**6/3 + 12*v**5/5 + 4*v**4 - 4*v**3 - 4*v**2 - 7. Solve z(c) = 0 for c.
-1, -1/2, 0, 1, 2
Suppose 6*t - 10 = t. Factor 4*i + 18*i**2 - t*i**2 + 0 + 0.
4*i*(4*i + 1)
Let t(d) be the third derivative of -1/18*d**3 - 1/60*d**5 + 1/360*d**6 + 0*d + 0 - 3*d**2 + 1/24*d**4. Let t(p) = 0. What is p?
1
Let b(q) = -4*q**5 - 3*q**4 - 6*q**3 + 13*q**2 + 3*q - 10. Let d(u) = u**5 + u**4 + 2*u**3 - 4*u**2 - u + 3. Let j(v) = -6*b(v) - 21*d(v). Factor j(i).
3*(i - 1)**3*(i + 1)**2
Let l(b) be the third derivative of b**6/600 + b**5/150 + b**4/120 + b**2. Factor l(w).
w*(w + 1)**2/5
Suppose -15 = -o + 4*o. Let h = o + 5. What is l in h*l + 0*l**2 - 1/5*l**4 + 0 - 1/5*l**3 = 0?
-1, 0
Let y = -10 + 73. Let p be 39/y - (-10)/(-35). Determine a, given that p*a**2 + 0 - 1/3*a**5 - a**3 + 0*a + a**4 = 0.
0, 1
Suppose 2*p - 4 = -0*p. Find r, given that -r - 1/3*r**3 - 1/3 - r**p = 0.
-1
Let t(g) = -g**3 - 3*g**2 + 5*g + 7. Let m be t(-4). Find z, given that -3/7*z + 3/7*z**m + 0 + 0*z**2 = 0.
-1, 0, 1
Let v(p) be the third derivative of -p**5/120 - p**4/24 + 8*p**2. Determine o, given that v(o) = 0.
-2, 0
Let h(r) = 3*r**3 - 33*r + 21. Let w(q) = -3*q**3 - q**2 + 32*q - 22. Let s(j) = -2*h(j) - 3*w(j). Find c, given that s(c) = 0.
-4, 1, 2
Let m(v) = v**3 - 7*v**2 + v - 1. Let x be m(7). Find a such that x*a**2 + 8*a**3 + 3*a + 2*a**4 - 2*a - 2*a**3 + a = 0.
-1, 0
Let z = -27 - -55/2. Let -5/4*r**2 + 0 + 1/2*r + z*r**3 = 0. What is r?
0, 1/2, 2
Let z = -17 + 28. Suppose 5*h = 5, -q = -4*q + h + z. Factor -11/4*s**3 - 7/4*s**2 + 9/4*s**q - 1/2 + 11/4*s.
(s - 1)**2*(s + 1)*(9*s - 2)/4
Let g(u) be the third derivative of u**5/90 + u**4/18 - u**3/3 - 4*u**2. Factor g(w).
2*(w - 1)*(w + 3)/3
Suppose 0 = -b - 4*v + 13, -b - 2*v + 7 = 2. Let y = b - -6. Factor 2/9*g**y + 2/9*g + 0 - 4/9*g**2.
2*g*(g - 1)**2/9
What is i in 0 - 2/5*i**3 + 0*i - 2/5*i**2 = 0?
-1, 0
Factor 102/5*o - 3*o**2 + 21/5.
-3*(o - 7)*(5*o + 1)/5
Let q(r) be the first derivative of -r**3/12 + 3*r**2/8 - 6. Suppose q(x) = 0. Calculate x.
0, 3
Let y = -3 + 3. Suppose 3 = -y*m + m. Solve 0*x - 2*x**m + 3/4*x**4 - 1/4 + 3/2*x**2 = 0.
-1/3, 1
Suppose 0 = 36*i - 17*i. Factor 0 - 4/7*v**4 - 2/7*v**5 - 2/7*v**3 + 0*v + i*v**2.
-2*v**3*(v + 1)**2/7
What is s in -1/4 - 7/4*s**2 - 3/4*s**3 - 5/4*s = 0?
-1, -1/3
Let 