 Suppose f + 0*f = c. Find p such that -3 - 79*p**2 + 26*p + f*p**2 - 1 + 31*p**3 - 3*p**3 = 0.
2/7, 1/2, 1
Let p(q) = -q**2 + q + 5. Let y be p(-3). Let x be ((-2)/28)/(2/y). Solve x*m**2 + 0*m - 1/4 = 0.
-1, 1
Suppose -2*i + i = -5. Factor 1 + 25*n**3 + i + 41*n**2 + 21*n + 3*n**4 - 14*n**2 - 10*n**3.
3*(n + 1)**3*(n + 2)
Let f(x) = 3*x**2 + x - 4. Let t(c) = 10*c**2 + 3*c - 13. Let w(m) = 7*f(m) - 2*t(m). Find j, given that w(j) = 0.
-2, 1
Let s(j) be the third derivative of 0 - 2/21*j**3 + 1/420*j**6 - 2/105*j**5 - 9*j**2 + 5/84*j**4 + 0*j. Find n, given that s(n) = 0.
1, 2
Let l(g) be the third derivative of g**8/840 - g**6/180 + 2*g**3/3 + g**2. Let t(c) be the first derivative of l(c). Suppose t(q) = 0. What is q?
-1, 0, 1
Suppose 3*n = -2*m + 5*m - 6, -2*m + 2 = -3*n. Determine b, given that 0*b**n - 2/9*b**5 - 2/9*b + 4/9*b**3 + 0 + 0*b**4 = 0.
-1, 0, 1
Let a(n) = 4*n**3 - 21*n**2 + 11*n. Let p(x) = -6*x**3 + 31*x**2 - 17*x. Let q(o) = -7*a(o) - 5*p(o). Find t such that q(t) = 0.
0, 2
Let t be 24/21*(28/8)/7. Suppose 2/7*a**2 + 2/7*a**4 + 0 + 0*a - t*a**3 = 0. What is a?
0, 1
Let h be (-7 + 1)/(10 - 12). Factor -6*k - 2*k**2 + h*k**3 - 3*k**2 + 2*k**2.
3*k*(k - 2)*(k + 1)
Let v(a) = -a**2 - a. Let h(u) = -4*u**4 - 12*u**3 + 8*u. Let c(b) = -h(b) - 12*v(b). Factor c(o).
4*o*(o + 1)**3
Let r(s) = -s**2 - 35. Let f be r(0). Let o be 10/f - (-46)/63. Find l, given that -2/9 + 2/3*l**4 - o*l**2 + 2/9*l**5 - 2/3*l + 4/9*l**3 = 0.
-1, 1
Let q be 219/18 + (-3)/18. Let g = q - 8. Let -2/7*a**5 + 2/7*a**3 + 2/7*a**2 - 2/7*a**g + 0 + 0*a = 0. Calculate a.
-1, 0, 1
Find j, given that 18*j**2 - 40*j - 5*j**4 - 7 + 12*j**2 + 22 = 0.
-3, 1
Solve 1/2*k**3 - 1/2*k**2 + 0 + 0*k = 0.
0, 1
Let y(o) be the first derivative of o**4/16 - o**2/8 + 6. Suppose y(n) = 0. What is n?
-1, 0, 1
Suppose -2*k + 10 = -4*n, 7*k = 2*k + n + 16. Let g be ((-10)/(-90))/(1/k). Factor 1/3*o**2 - 1/3 - 1/3*o**3 + g*o.
-(o - 1)**2*(o + 1)/3
Let u(m) be the first derivative of -m**9/10584 + m**7/1470 - m**5/420 - 5*m**3/3 + 1. Let y(p) be the third derivative of u(p). Factor y(i).
-2*i*(i - 1)**2*(i + 1)**2/7
Let a = -3/32 - -137/96. Factor -a + 2*y - 2/3*y**2.
-2*(y - 2)*(y - 1)/3
Let t be (-1 - 9/(-3))*2. Let j(h) be the second derivative of 0 - 11/70*h**5 + 3/14*h**t - 1/7*h**2 - 3*h - 1/21*h**3 + 4/105*h**6. Factor j(g).
2*(g - 1)**3*(4*g + 1)/7
Suppose 0 = 5*l - 6 - 24. Let x be l/(-4)*(-8)/6. Factor -2*c**2 + 2*c - x + c**2 + c.
-(c - 2)*(c - 1)
Let f(q) be the second derivative of 1/12*q**5 + 2/45*q**6 + 3*q - 1/6*q**2 - 1/12*q**4 - 5/18*q**3 + 0. Let f(n) = 0. Calculate n.
-1, -1/4, 1
Factor 1/4 - 2*y - 3/2*y**3 + 13/4*y**2.
-(y - 1)**2*(6*y - 1)/4
Suppose 16 = m + 13. Factor -1/3*w**2 + 1/3*w**m - 1/3*w + 1/3*w**4 + 0.
w*(w - 1)*(w + 1)**2/3
Let d(b) be the first derivative of -1/6*b**3 - 1/4*b**2 + 0*b + 1/10*b**5 - 1 + 1/8*b**4. Factor d(k).
k*(k - 1)*(k + 1)**2/2
Factor 0*u**2 + 0 - 2/3*u + 2/3*u**3.
2*u*(u - 1)*(u + 1)/3
Let i(t) be the second derivative of 9*t**4 + 4*t**3 + 2*t**2/3 + 34*t. Factor i(d).
4*(9*d + 1)**2/3
Let r(k) be the first derivative of -2*k**3/3 - 8*k**2 - 32*k - 2. Let r(i) = 0. Calculate i.
-4
Let z(w) be the third derivative of w**5/60 + w**4/6 - w**3/2 + 6*w**2. Let i be z(-5). Factor -1/2*o + 1/4 + 1/4*o**i.
(o - 1)**2/4
Let f(q) = -q**2 - 5*q + 8. Let i(b) = -6*b. Let j be i(1). Let t be f(j). Solve 78/7*s**t - 10*s**4 - 8/7 + 8/7*s**3 - 8/7*s = 0.
-1, -2/7, 2/5, 1
Let s be (-14)/(-4) - 2 - 1. Let -s*j + 1/2*j**5 - j**2 + 0*j**3 + j**4 + 0 = 0. Calculate j.
-1, 0, 1
Find w, given that w**4 + 4*w**4 + 19*w**3 - 19*w**3 - 5*w**2 = 0.
-1, 0, 1
Let b = -2 - -4. Let g(f) be the first derivative of -f - 3*f**3 + 7/4*f**4 + 1 - 2/5*f**5 + 5/2*f**b. Suppose g(c) = 0. Calculate c.
1/2, 1
Let r be 6/27 + (-4)/6. Let i = r + 10/9. Factor -2/3 - 2*d - 2*d**2 - i*d**3.
-2*(d + 1)**3/3
Let 3/7*l**3 + 0 - 3/7*l**4 - 36/7*l + 24/7*l**2 = 0. Calculate l.
-3, 0, 2
Factor -a + 0*a - 11*a**3 + 4*a**4 + 5*a**3 + 3*a**5 - 4*a**5 + 4*a**2.
-a*(a - 1)**4
Let o(a) = 4*a**3 - a**2 + a - 4. Let r(c) = 12*c**3 - 2*c**2 + 2*c - 12. Let l = -40 + 26. Let x(i) = l*o(i) + 5*r(i). Factor x(s).
4*(s - 1)*(s + 1)**2
Let c = -2 + 7. Factor 2*j**5 - 2*j**4 + c*j**5 + 5*j - j - 6*j**3 - 5*j**5 + 2*j**2.
2*j*(j - 2)*(j - 1)*(j + 1)**2
Let d(s) = -s**5 - 11*s**4 + 12*s**3 - 7*s. Let g(j) = 4*j**4 - 4*j**3 + 2*j. Let n(a) = 4*d(a) + 14*g(a). Determine w, given that n(w) = 0.
0, 1, 2
Let x be (-2)/8 - (-37)/4. Factor 0*c**3 - x*c**2 + 9*c + 5*c**3 - 2*c**3 - 3.
3*(c - 1)**3
Let c(f) be the third derivative of -f**5/30 + 5*f**4/6 - 25*f**3/3 - 10*f**2. Factor c(n).
-2*(n - 5)**2
Let z = 573/47 - 51192/4465. Let a = z + -10/19. Determine w so that -2/5*w + a + 1/5*w**2 = 0.
1
Suppose 1 - 7 = -3*c. Let b(n) = 10*n**2 - 12*n + 5. Let k(j) = -3*j**2 + 4*j - 2. Let m(q) = c*b(q) + 7*k(q). Determine h, given that m(h) = 0.
2
Factor 0 + 4/3*w**2 + 2*w**3 + 0*w + 2/3*w**4.
2*w**2*(w + 1)*(w + 2)/3
Factor 2/5*q**2 + 10 + 4*q.
2*(q + 5)**2/5
Let -4*q**4 + 7*q**2 + 12*q**3 - q**2 - 2*q**4 - 3*q - 9*q**5 = 0. What is q?
-1, 0, 1/3, 1
Let p(n) be the first derivative of n**5/5 - n**4/4 - n**3/3 + n**2/2 - 3. Suppose p(c) = 0. What is c?
-1, 0, 1
Suppose -4*a + 5*b = 7, -a - a - 4*b = -16. Suppose 5*x = -y - 2*y + 19, -5*x = 4*y - 22. Factor -y*s**4 + s**5 - 4*s + 2*s**2 - 2 + s + 3 + a*s**3.
(s - 1)**4*(s + 1)
Factor 5*x**5 + x**5 - 8*x**5.
-2*x**5
Let l(j) be the third derivative of -j**8/20160 - j**5/30 + 3*j**2. Let t(u) be the third derivative of l(u). Let t(h) = 0. What is h?
0
Let g(v) be the second derivative of v**7/273 - v**6/65 + v**5/65 + v**4/39 - v**3/13 + v**2/13 - 21*v. What is u in g(u) = 0?
-1, 1
Let m = 205/2 - 1427/14. Factor -18/7*o**2 + 2*o**3 + m*o + 0.
2*o*(o - 1)*(7*o - 2)/7
Let v(y) = 4*y**5 - 4*y**4 - 5*y**3 + 2*y**2 + y - 4. Let s(w) = -w**4 + w**3 - w - 1. Let u(p) = 3*s(p) - v(p). Find n, given that u(n) = 0.
-1, 1/4, 1
Let k(f) = f**2 + 5*f - 3. Let i be k(-6). Let b(g) = -g**3 + 2*g**2 + 3*g + 3. Let s be b(3). Solve -3 + s + o**i = 0.
0
Suppose 0*x = 5*x - 10. Factor -51*w**2 + 115*w**3 - 44*w**4 - 41*w**x + 26*w + 28*w**2 - 39*w**3 - 4 + 10*w**5.
2*(w - 1)**4*(5*w - 2)
Let q(v) be the second derivative of -v**7/42 - v**6/5 - 3*v**5/5 - 2*v**4/3 + 40*v. What is o in q(o) = 0?
-2, 0
Let v(l) be the third derivative of -l**5/510 + 5*l**4/102 - 25*l**3/51 - 49*l**2. Determine p so that v(p) = 0.
5
Let z(l) = 5*l**4 + 7*l**2 - 8*l - 8. Let n(r) = 4*r**4 + r**3 + 6*r**2 - 7*r - 7. Let x(j) = 4*n(j) - 3*z(j). Factor x(y).
(y - 1)*(y + 1)*(y + 2)**2
Let g(s) be the first derivative of -7/2*s**2 + 2 + 4*s**4 + s + 8/3*s**3. What is l in g(l) = 0?
-1, 1/4
Let m(b) be the first derivative of -5*b**3/3 + 5*b + 20. Factor m(o).
-5*(o - 1)*(o + 1)
Find r, given that 16*r - 3 + 556*r**2 + 19 - 4*r**3 - 560*r**2 = 0.
-2, -1, 2
Let v(o) be the third derivative of o**6/480 - o**4/32 + o**3/12 + 18*o**2. What is j in v(j) = 0?
-2, 1
Let q(i) be the third derivative of 0*i - 3*i**2 + 3/7*i**3 + 1/210*i**5 + 0 - 1/14*i**4. Factor q(v).
2*(v - 3)**2/7
Suppose -3*g = g - 40. Let s = -2 - -4. Suppose -u**2 + 0 - g*u - 2*u**3 - 4 - 7*u**s = 0. Calculate u.
-2, -1
Suppose -10 - 13*q + 0*q**2 + 4*q**3 + 2*q**2 - 3*q**3 - 4*q**2 = 0. Calculate q.
-2, -1, 5
Let i(j) be the first derivative of -j**4/6 + 10*j**3/9 - 8*j**2/3 + 8*j/3 + 10. Factor i(s).
-2*(s - 2)**2*(s - 1)/3
Factor -54 - 15*n + 12*n**4 - 3*n**3 - 55 + 166 - 51 - 36*n**2.
3*(n - 2)*(n + 1)**2*(4*n - 1)
Factor 2*m**2 + 4 + 7 - 11 + 3*m**3 + m**4.
m**2*(m + 1)*(m + 2)
Let r(x) be the third derivative of x**10/32400 - x**9/45360 + x**5/60 + 3*x**2. Let f(t) be the third derivative of r(t). Determine o so that f(o) = 0.
0, 2/7
Let w(p) be the first derivative of -2*p**5/5 + p**4 - 2*p**3/3 - 7*p + 7. Let s(q) be the first derivative of w(q). Factor s(i).
-4*i*(i - 1)*(2*i - 1)
Suppose -2 = 3*q - 17. Let x(p) = -p + 6. Let s be x(q). Factor u**2 + u**2 + 3*u - 3*u**2 + 0*u**2 + 2*u**4 - s - 3*u**3.
(u - 1)**2*(u + 1)*(2*u - 1)
Let n(c) = c**2 + c - 6. Let t be n(2). Suppose 3*y - 5*q = -q + 22, 4*y + 5*q = -12. Factor t*u + 1/4 - 1/4*u**y.
-(u - 1)*(u + 1)/4
Suppose -24*a + 19*a + 1245 = 0. Let x = a - 1209/5. Factor -x*n + 