 = -5*f(m) + 20*v(m). Factor y(t).
-5*t*(t - 1)**2*(t + 2)
Let u(v) = -15*v**4 - 18*v**3 + 9*v**2 + 18*v. Let a = -15 + 14. Let t(m) = m**4 + m**2 - m. Let h(s) = a*u(s) - 18*t(s). Solve h(g) = 0.
0, 3
Let s(x) = -5*x - 93. Let l be s(-19). Suppose 5/2*n**4 + 0*n**l + 0*n + 0 - 2*n**5 - 1/2*n**3 = 0. Calculate n.
0, 1/4, 1
Let f(g) be the second derivative of g**4/72 - g**3/9 + g**2/3 - 18*g. Solve f(t) = 0.
2
Let m = 1/414 - -3307/2070. Let v be 42/(-5)*(-24)/18. Solve -m - 98/5*n**2 - v*n = 0 for n.
-2/7
Suppose 2*q + 4*q**2 - 17*q**3 - 3*q**3 - 2*q + 25*q**4 = 0. What is q?
0, 2/5
Let k(m) be the first derivative of m**7/210 + m**6/50 + 3*m**5/100 + m**4/60 - 3*m + 9. Let w(x) be the first derivative of k(x). Factor w(r).
r**2*(r + 1)**3/5
Let t(c) = 2*c - 10. Let f be t(8). Solve -f*r**2 + 4*r - 4*r**2 + 6*r**2 = 0.
0, 1
Let t = -787 - -315. Let o = 1897/4 + t. Factor 9/4*b**2 + 3/4*b**3 + o*b + 3/4.
3*(b + 1)**3/4
Suppose 1/3 + 2/3*b**3 + 0*b**2 - 2/3*b - 1/3*b**4 = 0. Calculate b.
-1, 1
Suppose -23*h + 6 = -20*h. Find y such that 2*y + 2 + 1/2*y**h = 0.
-2
Let b(p) be the first derivative of -5*p**4/4 - 20*p**3/3 - 25*p**2/2 - 10*p - 3. Factor b(q).
-5*(q + 1)**2*(q + 2)
Let f be (-4)/(-18) + (-43)/(-9). Let j be (18/60)/(6/f). Find l such that j*l - 1/4*l**2 + 0 = 0.
0, 1
Let l = -5 + 9. Let k(n) = -3*n - 66. Let j be k(-22). What is h in -3/4*h**3 - 1/4*h**5 + j + 0*h + 1/4*h**2 + 3/4*h**l = 0?
0, 1
Let u(v) be the first derivative of -3*v**4/10 + 22*v**3/15 - 6*v**2/5 + 13. Solve u(r) = 0 for r.
0, 2/3, 3
Let u(w) be the first derivative of -w**7/5040 + w**6/540 - w**5/144 + w**4/72 - w**3 + 2. Let o(i) be the third derivative of u(i). Factor o(a).
-(a - 2)*(a - 1)**2/6
Suppose -3*t = -4*r + 2*t - 20, t - 4 = -r. Let g(o) be the second derivative of -1/4*o**4 - 4/3*o**3 + r - 2*o**2 - 2*o. Let g(i) = 0. Calculate i.
-2, -2/3
Suppose -2*i = -4*l + 6 + 6, 0 = 4*i - 4*l + 4. Factor -o**4 - o**2 + 4*o**3 + 2*o**3 - i*o**3.
-o**2*(o - 1)**2
Let g(p) be the third derivative of 2/15*p**5 + 11/60*p**6 - 1/3*p**4 + 3*p**2 + 0 - 2/35*p**7 - 3/56*p**8 + 0*p**3 + 0*p. Factor g(s).
-2*s*(s + 1)**2*(3*s - 2)**2
Let d(n) be the first derivative of 18*n**2 - 6*n**3 + 3/4*n**4 + 6 - 24*n. Suppose d(w) = 0. What is w?
2
Solve -2*k**3 - k - 5*k**2 - 2*k**2 + k**3 + 5*k**2 = 0 for k.
-1, 0
Let c(j) be the second derivative of 7*j**6/30 + 9*j**5/20 - 11*j**4/4 + 11*j**3/6 + 3*j**2 + 5*j. Find n, given that c(n) = 0.
-3, -2/7, 1
Let l = -14745 - -7554. Let k = 50455/7 + l. Let k*v**2 + 10*v**3 + 8/7 + 8*v = 0. What is v?
-1, -2/5, -2/7
Let u(l) be the second derivative of l**4/9 - 4*l**3/9 - 2*l**2 - 53*l. Factor u(o).
4*(o - 3)*(o + 1)/3
Suppose 3*n = 2*p + 14, -5*n - p + 6 = -0*p. Suppose 3*c = n*c. Factor c + 4/5*t - 2/5*t**2.
-2*t*(t - 2)/5
Let i(d) be the third derivative of -d**6/30 - 4*d**5/15 - 5*d**4/6 - 4*d**3/3 - 8*d**2. Factor i(o).
-4*(o + 1)**2*(o + 2)
Let m = 2 - 6. Let i be (10/100)/(m/(-10)). Determine n, given that i*n**3 - 1/4*n + 0 + 0*n**2 = 0.
-1, 0, 1
Let 1/2*t**2 + 0 + 0*t = 0. Calculate t.
0
Suppose 6 = 6*o - 3*o. Factor -5*z**2 - z + 3*z**2 + 3*z**o.
z*(z - 1)
Let n = 655/182 - 49/26. Find a, given that n + 8/7*a - 4/7*a**2 = 0.
-1, 3
Let j(g) be the first derivative of 2*g**5/5 - 4*g**3/3 + 2*g - 17. Factor j(n).
2*(n - 1)**2*(n + 1)**2
Let v = 178/3 - 58. Factor -2/3*u**3 + 4/3*u - u**2 + v + 1/3*u**4.
(u - 2)**2*(u + 1)**2/3
Let y(m) be the second derivative of m**5/120 + m**4/24 + m**3/12 + m**2/12 + 7*m. Determine a, given that y(a) = 0.
-1
Find q, given that 0*q**4 + q**2 + 6*q**4 + 12*q - 17*q**2 - 10*q**2 + 8*q**3 = 0.
-3, 0, 2/3, 1
Let u(g) be the third derivative of 1/1344*g**8 + 0*g**5 - 1/420*g**7 + 0 + 0*g**3 + 0*g**4 + 0*g + 1/480*g**6 + 4*g**2. Factor u(x).
x**3*(x - 1)**2/4
Let g = 16 - 10. Suppose -2*c = -g*c. Factor -1/3*z**2 - 1/3*z + c.
-z*(z + 1)/3
Let h(f) = -4*f**5 + 4*f**4 - 6*f**3. Suppose -3*n - 2*k = 15, k + 4 - 16 = 5*n. Let x(t) = -t**5 - t**3. Let j(y) = n*h(y) + 21*x(y). Solve j(g) = 0.
-1, -1/3, 0
Let q = 22 - 19. Factor 39*g + 12 + 15*g**2 + 7*g**3 + 3*g**3 - 15*g - 7*g**q.
3*(g + 1)*(g + 2)**2
Let i(m) = m**3 - 9*m**2 + 10*m - 16. Let a be i(8). Factor a + 0*h - 1/3*h**2 + 1/3*h**3.
h**2*(h - 1)/3
Suppose 0 = 2*u - 0*u - 16. Suppose -6*g - 2 = -u*g. Let 1/4*p**5 + 7/4*p**2 - g - 3/4*p**4 - 1/4*p**3 + 0*p = 0. Calculate p.
-1, 1, 2
Let h(o) be the second derivative of 21*o**5/4 + 205*o**4/12 - 10*o**3/3 - 10*o**2 - 40*o. Factor h(t).
5*(t + 2)*(3*t - 1)*(7*t + 2)
Let f(s) be the second derivative of 0*s**6 - 1/90*s**5 + 3*s + 1/189*s**7 + 0 + 0*s**2 + 0*s**3 + 0*s**4. What is i in f(i) = 0?
-1, 0, 1
Let h = 226/455 - 12/35. Determine k, given that 0 + h*k**2 + 0*k - 2/13*k**3 = 0.
0, 1
Let k(b) be the first derivative of b**8/8400 - b**7/4200 - 5*b**3/3 - 7. Let n(p) be the third derivative of k(p). Factor n(l).
l**3*(l - 1)/5
Factor 2/7*w**2 + 6/7 + 10/7*w - 2/7*w**3.
-2*(w - 3)*(w + 1)**2/7
Let q = -9/4 + 11/4. Suppose 1/2*g**2 - q - 1/2*g**3 + 1/2*g = 0. What is g?
-1, 1
Factor 0 + 1/2*t**3 + 50*t + 10*t**2.
t*(t + 10)**2/2
Let n(s) = 2*s**2 + 13*s + 8. Let p be n(-6). Let f(y) be the first derivative of -8/3*y + 4/3*y**p - 1 - 2/9*y**3. Determine z so that f(z) = 0.
2
Factor 2*c**2 + 0 + 2*c + 0 - 4*c**2.
-2*c*(c - 1)
Let x(i) be the third derivative of 0*i - 2*i**2 + 1/60*i**5 + 1/24*i**4 + 0 + 0*i**3. Suppose x(y) = 0. What is y?
-1, 0
Let k(c) = 363*c**2 - 66*c - 9. Let a(n) = -1. Let i(w) = 12*a(w) - k(w). Factor i(f).
-3*(11*f - 1)**2
Let n(j) = j**3 + j**2 + j + 12. Let o be n(0). Let l be (0/2)/(o/12). What is r in l + 1/2*r**2 + 0*r + 1/2*r**3 = 0?
-1, 0
Let u(l) = -36*l**2 + 108*l + 388. Let t(z) = 4*z**2 - 12*z - 43. Let j(g) = -28*t(g) - 3*u(g). Factor j(b).
-4*(b - 5)*(b + 2)
Let q be (5/(-10))/((-2)/12). Suppose 0 - 2*c**q - 19*c**4 + 2*c + 20*c**4 - 1 = 0. Calculate c.
-1, 1
Factor -4/5*i + 8/5*i**2 + 4/5*i**3 - 8/5.
4*(i - 1)*(i + 1)*(i + 2)/5
Suppose -2*v + 24 = 2*v. Let x = 8 - v. Factor 0 + 2/3*j - 7/3*j**3 - 5/3*j**x.
-j*(j + 1)*(7*j - 2)/3
Let 0*q - 2/7*q**2 - 11/7*q**3 + 0 = 0. Calculate q.
-2/11, 0
Let z = 3494/11445 + -50/327. Let m(l) be the second derivative of -12/35*l**5 - z*l**6 - 1/42*l**4 + 0 - 1/7*l**2 + 2/7*l**3 - l. Factor m(v).
-2*(v + 1)**2*(4*v - 1)**2/7
Let t(i) be the first derivative of i**6/4 + 3*i**5/2 + 15*i**4/4 + 5*i**3 + 15*i**2/4 + 3*i/2 - 12. Determine x so that t(x) = 0.
-1
Suppose -2 = v, -4*i - 3 = 2*v - 7. Factor -2*h**3 + 2*h**2 - 5*h**2 + 3*h**i.
-2*h**3
Let o(j) be the second derivative of -j**8/6720 - j**7/3360 - 2*j**3/3 + 5*j. Let f(a) be the second derivative of o(a). What is m in f(m) = 0?
-1, 0
Let x(y) be the first derivative of 2/15*y**3 - 2*y**2 - 3/20*y**4 + 4 + 0*y + 3/50*y**5. Let q(k) be the second derivative of x(k). Find v such that q(v) = 0.
1/3, 2/3
Let i(f) = f**3 - 5*f**2 + 6*f - 5. Suppose 2*x - 3 = 5. Let q be i(x). Factor -2*a**3 + a**2 + 0*a**3 - q*a**2.
-2*a**2*(a + 1)
Let d(v) be the third derivative of v**6/210 - 2*v**5/105 - 2*v**4/21 + 16*v**3/21 + 24*v**2. Factor d(x).
4*(x - 2)**2*(x + 2)/7
Let z(n) be the third derivative of n**6/300 - n**5/150 + 6*n**2. Let z(s) = 0. Calculate s.
0, 1
Solve -2/9*r + 10/9*r**2 - 4/3 = 0.
-1, 6/5
Let x(j) be the second derivative of j**6/135 + j**5/90 - j**4/54 - j**3/27 + 7*j. Solve x(u) = 0 for u.
-1, 0, 1
Let g = 66/133 + -4/19. Suppose 0 = 4*m - 8*m + 8. Factor g*l**m + 6/7*l + 4/7.
2*(l + 1)*(l + 2)/7
Let c(h) be the second derivative of h**6/15 - h**4/6 - 3*h. Factor c(a).
2*a**2*(a - 1)*(a + 1)
Let c(q) be the third derivative of -q**8/112 + 3*q**7/35 - 13*q**6/40 + 3*q**5/5 - q**4/2 - q**2. Factor c(j).
-3*j*(j - 2)**2*(j - 1)**2
Find b, given that -9 - 2*b**2 + 1 + 24*b**3 + 10*b**4 - 4*b - 20*b = 0.
-2, -1, -2/5, 1
Let s = -693 - -4863/7. Factor -16/7*g**3 - 2/7 + 6/7*g**4 + s*g**2 + 0*g.
2*(g - 1)**3*(3*g + 1)/7
Let m(l) be the third derivative of -l**8/2352 + l**7/735 - l**6/840 + 14*l**2. Find t such that m(t) = 0.
0, 1
Let -2*s - 2/3*s**2 - 4/3 = 0. What is s?
-2, -1
Determine w so that -1/5*w + 1/5*w**2 + 0 = 0.
0, 1
Suppose 5*j + 5 = -9*k + 5*k, 3*k - 5*j = 5. Let w = 1 + 1. Suppose 1/2*d**w + 1/2*d + k = 0. What is d?
-1, 0
Let o be ((3 + -2)*2)/(3 + 0). Fa