*a + 0*f**3 + 0 + 0*f - 1/210*f**5. Factor g(p).
-2*p*(p - 1)/7
Let y = -1 - 4. Let b(m) = -6*m**4 - 4*m**3 + 2*m**2 - 8*m + 4. Let q(u) = 7*u**4 + 5*u**3 - u**2 + 9*u - 5. Let l(x) = y*b(x) - 4*q(x). Factor l(p).
2*p*(p - 1)**2*(p + 2)
Let s = 51 - 47. Factor 9/5*n**3 - 12/5*n**s + 3/5*n**2 + 0 + 0*n.
-3*n**2*(n - 1)*(4*n + 1)/5
Let i(q) be the first derivative of 4/3*q**3 + 2 + 25/6*q**6 + 0*q**2 + 6*q**4 + 0*q + 9*q**5. Factor i(a).
a**2*(a + 1)*(5*a + 2)**2
Let d(p) = p**2 - p - 1. Let o(n) be the first derivative of n**5/5 + 3*n**4/4 - n**3/3 + 5*n**2/2 + 4*n + 1. Let z(m) = -4*d(m) - o(m). Factor z(t).
-t*(t + 1)**3
Let g(l) = l**2 + 6*l - 3. Let j(r) = -20*r + 8 + 3*r - 2*r**2 - r**2. Let k(y) = 11*g(y) + 4*j(y). Factor k(q).
-(q + 1)**2
Suppose 5*u = -49 + 49. Let 6/11*i**4 - 4/11*i**3 - 2/11*i**2 + 0*i + u = 0. Calculate i.
-1/3, 0, 1
Let v = -12 + 14. Solve 88/5*j - 16/5 + 10*j**3 - 28*j**v = 0.
2/5, 2
Factor 38*u - 26*u + 4*u**2 + 0*u**2.
4*u*(u + 3)
Let a = 1/10 + 2/5. Factor 2*c**2 + a*c + 0 + 3/2*c**3.
c*(c + 1)*(3*c + 1)/2
Factor -24*v - 30*v**3 + 9 - 9*v + 9*v**4 - 4*v**5 + 23*v**2 + 23*v**2 + 3*v**5.
-(v - 3)**2*(v - 1)**3
Factor -75*f**5 + 38*f**3 - 10*f**2 + 10*f**3 - 2*f**2 - 15*f**4.
-3*f**2*(f + 1)*(5*f - 2)**2
Let v be (11 - 14) + (-17)/(-5). Factor -v*d**2 + 0 - 4/5*d.
-2*d*(d + 2)/5
Let m(b) be the third derivative of 2*b**7/1155 - b**6/660 - b**5/330 + 2*b**2 + 12. Let m(u) = 0. What is u?
-1/2, 0, 1
Let p(o) be the second derivative of 0*o**4 + 0 + 7/15*o**6 - 6*o - 1/5*o**5 + 0*o**2 + 0*o**3. Factor p(a).
2*a**3*(7*a - 2)
Suppose 6*u - 3*u + 3513 = 0. Let k = 2489/2 + u. Factor 0 + 0*v + k*v**5 + 48*v**3 - 6*v**2 - 231/2*v**4.
3*v**2*(v - 1)*(7*v - 2)**2/2
Let i(k) = -k**2 - 50*k - 121. Let c(s) = -3*s**2 - 100*s - 243. Let l(f) = -4*c(f) + 7*i(f). Factor l(m).
5*(m + 5)**2
Let j(p) be the third derivative of 1/300*p**5 + 0*p + 1/1680*p**8 - 1/600*p**6 + 0 - 1/1050*p**7 + 5*p**2 + 0*p**4 + 0*p**3. Factor j(c).
c**2*(c - 1)**2*(c + 1)/5
Let c(g) be the second derivative of -g**7/189 - 2*g**6/135 + g**5/30 + 2*g**4/27 - 4*g**3/27 + g. Suppose c(z) = 0. What is z?
-2, 0, 1
Factor -18/7*c**3 - 3/7*c**4 - 36/7*c - 39/7*c**2 - 12/7.
-3*(c + 1)**2*(c + 2)**2/7
Suppose 4*i = -0*i + 4*s + 16, -4*s = 4*i + 16. Solve 2/7*m**4 - 2/7*m**2 + i + 2/7*m**3 - 2/7*m = 0.
-1, 0, 1
Let h(p) = p**2 + 13*p + 15. Let m be h(-12). Suppose m - 4*v**2 - 20*v + 0*v**2 - 6 - 5 + 8*v**3 = 0. Calculate v.
-1, -1/2, 2
Let v = -10 + 13. Determine q, given that 2*q**3 + 2 - 22*q + 3 + 18*q**5 + 2*q**v + 32*q**2 - 1 - 36*q**4 = 0.
-1, 1/3, 2/3, 1
Suppose 9*v - 4*v = 0. Suppose v = 4*m + m - 4*u - 10, 2 = m + 2*u. Determine h so that -m*h**4 + 2*h**3 + 2*h**4 - 2*h**4 = 0.
0, 1
Let l(b) = -24*b**3 + 59*b**2 - 7*b. Let o(g) = -12*g**3 + 30*g**2 - 3*g. Let s be (-4)/6 - (-77)/21. Let d(x) = s*l(x) - 5*o(x). Find u, given that d(u) = 0.
0, 1/4, 2
Let n(a) be the third derivative of a**5/60 - a**4/12 - a**3/2 + 22*a**2. Factor n(w).
(w - 3)*(w + 1)
Let h be (-1)/((-21)/(-6))*-7. Let -m**4 - m**4 + 0*m**4 - h*m**5 - m**3 + m**5 = 0. Calculate m.
-1, 0
Let h(f) be the third derivative of f**8/504 + f**7/315 - f**6/36 - f**5/90 + 2*f**4/9 - 4*f**3/9 + 13*f**2. Let h(z) = 0. Calculate z.
-2, 1
Let l = -2 + 4. Suppose -4*z - 3*a = -11 + l, -5*a - 20 = -5*z. Find u such that 2*u**z - u**3 + u - 2*u + 0*u**3 = 0.
-1, 0, 1
Factor 0 + 2/5*l**2 - 2/5*l**3 + 2/5*l**5 - 2/5*l**4 + 0*l.
2*l**2*(l - 1)**2*(l + 1)/5
Let j be (-7)/(-6)*((-202)/42 + 5). Let a = 1/20 + 31/180. Determine d, given that 0 - j*d + 0*d**2 + a*d**3 = 0.
-1, 0, 1
Suppose -2*n + 85 = 3*n. Let -3 - 8*p + 9 + n*p - 3*p**3 = 0. What is p?
-1, 2
Solve -22/3 + 8*c - 2/3*c**2 = 0.
1, 11
What is g in 18*g**2 - 2*g**2 - 24*g + 2*g**4 - 12*g**3 + 10*g**2 + 8 = 0?
1, 2
Let o = 14 - 4. Let t be (-16)/12*(-6)/o. Solve -t*l**4 + 0 + 2/5*l**3 + 4/5*l**2 - 2/5*l = 0 for l.
-1, 0, 1/2, 1
Suppose 2*r - 15 = 5*r. Let a(c) = -2*c - 7. Let q be a(r). Determine z, given that 12*z + 11*z**2 + 4 - 11*z**q - 30*z**2 - 31*z**3 = 0.
-2/3, -2/7, 1/2
Suppose 13 = 5*l + 23. Let f = 0 - l. Factor 9*o - 3/2*o**f - 27/2.
-3*(o - 3)**2/2
Let i(g) be the first derivative of g**3/3 - g**2/2 - 2*g + 3. Let q be i(2). Let q - 8/7*z**3 + 8/7*z**2 - 2/7*z = 0. What is z?
0, 1/2
Factor -1/6*p**3 + 8/3 - 4*p + 3/2*p**2.
-(p - 4)**2*(p - 1)/6
Factor 0*a + 0*a**2 + 0 - 1/2*a**4 - 1/2*a**3.
-a**3*(a + 1)/2
Let b(z) be the second derivative of -z**8/7560 + z**6/1620 + z**3/2 - 2*z. Let c(a) be the second derivative of b(a). Suppose c(f) = 0. What is f?
-1, 0, 1
Let h(x) = -9*x**5 - 3*x**4 + 3*x**2 + 9*x + 5. Let w(z) = -13*z**5 - 5*z**4 + 5*z**2 + 13*z + 7. Let a(c) = -7*h(c) + 5*w(c). Factor a(n).
-2*n*(n - 1)*(n + 1)**3
Let f(z) be the first derivative of z**5/20 + 3*z**4/16 + z**3/4 + z**2/8 - 13. Find q such that f(q) = 0.
-1, 0
Let y(g) be the third derivative of 1/60*g**5 - g**2 + 0 + 1/24*g**4 + 0*g + 0*g**3. Factor y(i).
i*(i + 1)
Let l be (2 - 0) + -8 + 16. Suppose -19*d = -17*d - l. Factor 0*n**2 + 0*n - 1/2*n**d + 0 + n**4 - 1/2*n**3.
-n**3*(n - 1)**2/2
Let l(x) = 8*x**3 - 4*x**2 - 16*x - 3. Let a(d) = d**3 + d**2 + 1. Let z(s) = 5*a(s) - 5*l(s). Let z(r) = 0. What is r?
-1, -2/7, 2
Let g(m) be the third derivative of -m**7/315 - m**6/540 + m**5/30 + m**4/12 + 2*m**3/27 + 6*m**2. Let g(i) = 0. What is i?
-1, -1/3, 2
Let c = 11/16 - 3/16. Factor 0 + 1/2*d**3 + 0*d - c*d**2.
d**2*(d - 1)/2
Let h(t) = -t**3 + t**2 - t + 3. Suppose 4*u + 3*m - 39 + 16 = 0, 5*m = -u + 27. Let q(f) = -f**3 + f**2 + 1. Let n(s) = u*h(s) - 4*q(s). Factor n(o).
2*(o - 1)**2*(o + 1)
Let v(r) be the first derivative of -2*r**6/15 - 7*r**5/25 + 3*r**4/10 + 7*r**3/15 - r**2/5 + 9. What is o in v(o) = 0?
-2, -1, 0, 1/4, 1
Suppose -s + 1 = -2*u - 3, -s - 10 = 5*u. Suppose -8 = -s*z - 4*z. Find o, given that -z*o + 7 - 10*o**4 - 14*o**3 + 13*o + 6*o**2 - 3 + 3*o = 0.
-1, -2/5, 1
Let f = 0 - -3. Solve 3*s**3 - f*s**3 + 2*s + s**3 - 3*s**2 = 0.
0, 1, 2
Let g(j) = -j. Let x be g(-2). Let i(c) be the first derivative of -1/6*c**3 - 1/2*c**x + 1 - 1/2*c. Find b such that i(b) = 0.
-1
Let h = 176/3 - 58. Factor 0*a**3 - 2/3*a**4 + 0 + 0*a + h*a**2.
-2*a**2*(a - 1)*(a + 1)/3
Let l be 8/3*45/20. Suppose l = q + 2*q. Factor 0*a**2 + 11*a + 8 + 2*a**q - 3*a.
2*(a + 2)**2
Let u(c) = 4*c**2 - 6*c - 5*c**2 - 10 + 4. Let q be u(-4). Solve g**4 - q*g**3 - 2*g**4 + 4*g**5 - g**4 = 0 for g.
-1/2, 0, 1
Let y be 5 + 92/(-16) - 92/(-80). Factor -6/5 - y*m**2 + 8/5*m.
-2*(m - 3)*(m - 1)/5
Let c(l) be the third derivative of l**8/112 - l**7/70 - l**6/10 + l**5/5 + 19*l**2. Determine x, given that c(x) = 0.
-2, 0, 1, 2
Let o(z) be the first derivative of z**6/48 + z**5/5 + 3*z**4/4 + 17*z**3/12 + 23*z**2/16 + 3*z/4 - 53. Factor o(m).
(m + 1)**3*(m + 2)*(m + 3)/8
Solve 0 + 1/2*i + 1/2*i**2 = 0 for i.
-1, 0
Let m(s) = s**3 - 2*s**2 + 3*s - 3. Let t be m(2). Suppose -8*o**t - o**3 + 3*o**2 + 7*o**5 + 2*o**5 - 6*o**4 + 3*o**2 = 0. What is o?
-1, 0, 2/3, 1
Let s(v) be the first derivative of 2 + 0*v**2 + 0*v**5 + 1/27*v**6 + 0*v + 0*v**3 - 1/18*v**4. Determine r, given that s(r) = 0.
-1, 0, 1
Let p(y) = 6*y**3 - y**2 + y. Let j be p(1). Factor -7*c**3 - 3 + j*c + 9*c**2 - 8*c**3 - 12*c**4 + 3*c**3.
-3*(c + 1)**2*(2*c - 1)**2
Let m = 793/4 - 198. Let -1/4*i**5 + 0*i + 1/4*i**2 + 0 + m*i**3 - 1/4*i**4 = 0. Calculate i.
-1, 0, 1
Suppose -w - 2*w = -21. Suppose w*y - 3*y - 12 = 0. Factor -3*j**2 - j - y*j**3 + 0*j**3 - j**2.
-j*(j + 1)*(3*j + 1)
Let r = 12 + -9. Suppose 4 = -f + r*f. Find t, given that 0*t + 0 + 4/7*t**2 + f*t**5 + 6/7*t**3 - 24/7*t**4 = 0.
-2/7, 0, 1
Let u(w) be the third derivative of -w**6/30 - 2*w**5/15 + w**4/6 + 4*w**3/3 + 13*w**2. Find c, given that u(c) = 0.
-2, -1, 1
Let n(v) = -v**2 - 3*v. Let c(i) = -2*i**2 - 7*i. Let u(x) = 6*c(x) - 14*n(x). Factor u(r).
2*r**2
Let b(q) be the third derivative of 0*q**5 + 0*q**3 - 1/60*q**6 + 0*q + 0 - q**2 + 0*q**4 + 1/105*q**7. Solve b(w) = 0.
0, 1
Factor 2*o - 8/7*o**2 - 6/7.
-2*(o - 1)*(4*o - 3)/7
Let x be 3/9 - ((-17)/3 + 4). Suppose -9/2*h - 7/2*h**x - 1 = 0. What is h?
-1, -2/7
Let o = 63 + -60. Let u(a) be the first derivative of 1/3*a**o + 0*a + 1 - 1/2*a**2. Let u(d) = 0. What is d?
0, 1
Factor -2*u**2 - 3/2 - 1/4*u*