Let t(u) be the second derivative of x(u). Solve t(f) = 0 for f.
-1, 0
Suppose -3*l + 30 = 81. Let g = -15 - l. Factor 0 + 10/11*c**g + 2/11*c + 8/11*c**3.
2*c*(c + 1)*(4*c + 1)/11
Let k(f) be the first derivative of f**5/20 - f**4/3 + 5*f**3/6 - f**2 - 10*f + 32. Let q(j) be the first derivative of k(j). Factor q(a).
(a - 2)*(a - 1)**2
Factor 383*c**2 + 24*c**3 - 14400 + 6720*c - 147*c**2 - 64*c**3 + 42*c**3.
2*(c - 2)*(c + 60)**2
Let a(k) be the second derivative of -k**7/1680 + k**5/240 - k**3/2 - 8*k. Let j(l) be the second derivative of a(l). Factor j(h).
-h*(h - 1)*(h + 1)/2
Suppose -2*c + 26 = 20. Suppose 12 = c*n + n. Solve 0*v**4 - 3/2*v**2 - 3/4*v**5 + 0 + 0*v + 9/4*v**n = 0 for v.
-2, 0, 1
Let v(h) be the second derivative of -h**5/20 + h**4/4 + h**3/6 - h**2/2 + 9*h. Let t(q) = -3*q**3 + 10*q**2 + 3*q - 3. Let u(b) = 2*t(b) - 7*v(b). Factor u(p).
(p - 1)**2*(p + 1)
Let v(x) be the second derivative of 5/3*x**4 - 6*x**5 + 7/2*x**6 + 0 + 0*x**3 + 35/6*x**7 - 32*x + 0*x**2. What is f in v(f) = 0?
-1, 0, 2/7
Let o(p) be the second derivative of -p**7/2520 + p**6/240 + p**4/4 - 4*p. Let l(g) be the third derivative of o(g). Find s such that l(s) = 0.
0, 3
Let v(m) = 2*m**3 + 3*m**2 - 2. Let r be ((-1)/(-2))/((-6)/12). Let l(c) = 4*c - 1 - c + c**3 + 0 - 2*c. Let b(x) = r*v(x) + 3*l(x). Factor b(s).
(s - 1)**3
Let c be (-6 - -7)/(-1 + (-6)/(-4)). Factor 12 - 171*f**2 - 152*f**c + 27*f**4 - 12*f + 18*f**3 + 290*f**2.
3*(f + 1)**2*(3*f - 2)**2
Let u be 3/(-126)*(-3619)/94. Let c(d) be the first derivative of 7/20*d**5 - 1/8*d**6 - 2 + 0*d**2 + d + 3/16*d**4 - u*d**3. Solve c(q) = 0 for q.
-1, -2/3, 1, 2
Let r(t) = -t**3 + 12*t**2 + 14*t - 13. Let w be r(13). Let b(i) be the third derivative of -1/24*i**3 + 1/48*i**4 + 0*i - 1/240*i**5 + w - 5*i**2. Factor b(h).
-(h - 1)**2/4
Let x(y) = -2*y**2 - 12*y - 30. Let n(v) = 0 - 1 + 0. Let z(l) = 12*n(l) - x(l). Factor z(f).
2*(f + 3)**2
Let a(s) = -80*s**3 - 10*s**2 + 65*s - 10. Let j(k) = -76*k**3 - 9*k**2 + 64*k - 9. Let l(t) = 6*a(t) - 5*j(t). Factor l(m).
-5*(m + 1)*(4*m - 1)*(5*m - 3)
Let p = -149 + 152. Suppose 3*v + 15 = p*d + 2*d, 4*v = -3*d + 9. Determine f, given that 1/3*f**5 + v - 2/3*f**3 + 0*f**4 + 1/3*f + 0*f**2 = 0.
-1, 0, 1
Let z = -32397/2 + 16200. Suppose -10*b**3 - z*b**2 - 25/4*b**4 + 2*b - 1/4 = 0. What is b?
-1, 1/5
Let c(k) = -k**2 + k. Suppose w - 3*s - 2 = -0*w, -3*s + 8 = 4*w. Let n(a) = -w*a + 0*a + 1 + a. Let p(v) = -3*c(v) + 6*n(v). Solve p(t) = 0 for t.
1, 2
Let k(n) be the first derivative of 13/4*n**4 + 6/5*n**5 + 1/6*n**6 + 0*n + 2*n**2 - 14 + 4*n**3. Let k(c) = 0. What is c?
-2, -1, 0
Let g(v) be the first derivative of v**6/300 - v**5/25 + v**4/5 - 8*v**3/15 + 3*v**2 - 4. Let s(z) be the second derivative of g(z). Let s(f) = 0. Calculate f.
2
Let g(p) be the first derivative of -p**4/4 + 143*p**3 - 61347*p**2/2 + 2924207*p - 148. Factor g(x).
-(x - 143)**3
Solve 21/2*f**2 + 13*f + 4 + 1/2*f**3 - f**4 = 0.
-2, -1, -1/2, 4
Let j(i) be the second derivative of i**6/45 - 2*i**5/5 + 10*i**4/9 + 3*i - 72. Factor j(t).
2*t**2*(t - 10)*(t - 2)/3
What is b in 16/5 + 12/5*b**2 - 2/5*b**3 + 6*b = 0?
-1, 8
Let v(k) be the third derivative of 5*k**8/112 + k**7/21 - k**6/24 - k**2 + 97. Find g such that v(g) = 0.
-1, 0, 1/3
Suppose 18 - 47/2*v**2 + 66*v + 2*v**3 = 0. What is v?
-1/4, 6
Let b = 8325/8 + -58251/56. Let 0 + 1/7*s**4 + 0*s**3 - 2/7*s - b*s**2 = 0. Calculate s.
-1, 0, 2
Let g(a) be the second derivative of -a**4/16 + 3*a**3/8 + 3*a**2/2 + 164*a. Find w, given that g(w) = 0.
-1, 4
Let m = 9713/9 + -1079. Let d(k) be the third derivative of 1/12*k**4 - m*k**3 + 0 + 1/18*k**5 + 12*k**2 + 0*k. Factor d(y).
2*(y + 1)*(5*y - 2)/3
What is y in -125*y**3 - 127*y**3 - 122*y**3 - 18*y**2 + 0*y**4 + 3*y**4 + 389*y**3 = 0?
-6, 0, 1
Let i(h) be the second derivative of 7*h**5/5 - 13*h**4/3 - 4*h**3/3 - 47*h. Factor i(m).
4*m*(m - 2)*(7*m + 1)
Let s(p) be the third derivative of p**8/84 - 2*p**7/105 - p**6/5 + 4*p**5/15 + 4*p**4/3 - 17*p**2 + 3. Factor s(f).
4*f*(f - 2)**2*(f + 1)*(f + 2)
Let d(n) be the third derivative of n**7/420 - n**6/80 + n**5/40 - n**4/48 - 10*n**2 + n. Factor d(b).
b*(b - 1)**3/2
Suppose -1380*w**2 - 9 + 189*w - 8000/3*w**4 + 11600/3*w**3 = 0. Calculate w.
3/20, 1
Solve 30/7*s**2 - 60/7*s**3 + 9*s + 24/7*s**4 - 54/7 - 3/7*s**5 = 0.
-1, 1, 2, 3
Suppose 0 = 2*v + k - 8 + 4, -6 = -3*v + k. Factor 3*o**2 - v - 2 + 1.
3*(o - 1)*(o + 1)
Let h(m) be the first derivative of -m**6/60 + 17*m**2/2 + 11. Let y(n) be the second derivative of h(n). Solve y(d) = 0.
0
Let n = 1925 + -1922. Solve 0 + 8/11*x**4 + 10/11*x**n + 4/11*x**2 + 2/11*x**5 + 0*x = 0 for x.
-2, -1, 0
Let d be ((-6)/4 + 3)/(2/(-4)). Let a be ((-21)/(-14))/(d/(-6)). Solve 2/3*m**4 - 4/3*m**2 + 2/3 + 0*m + 0*m**a = 0 for m.
-1, 1
Suppose -56 = 7*q - 17*q - 4*q. Factor -5/2*m**2 + m + 2*m**3 - 1/2*m**q + 0.
-m*(m - 2)*(m - 1)**2/2
Let m = 101 + -56. Let x(j) = 15*j**2 - 27*j - 12. Let d(a) = -330*a**2 + 595*a + 265. Let y(q) = m*x(q) + 2*d(q). Factor y(h).
5*(h - 2)*(3*h + 1)
Let x(b) = -3*b**4 + 4*b**3 - 4*b + 2. Let s(q) = q**4. Suppose z = 3*z. Suppose -3*p = -z*p - 3. Let d(l) = p*x(l) + s(l). Factor d(f).
-2*(f - 1)**3*(f + 1)
Let f(y) = 15*y**2 - 25*y - 35. Suppose -2*w - 15 = 1. Suppose 11*k - 31 = 24. Let p(d) = 23*d**2 - 38*d - 53. Let g(b) = k*p(b) + w*f(b). Factor g(l).
-5*(l - 3)*(l + 1)
Suppose 24/5*a**2 + 12/5*a**3 + 4*a + 2/5*a**4 + 6/5 = 0. What is a?
-3, -1
Suppose 3*z = -4*x + 5 + 4, 5*z - 15 = -x. Determine a, given that 3/2*a - 3/2*a**3 - z + 3*a**2 = 0.
-1, 1, 2
Let j(r) be the first derivative of 0*r - 2/9*r**3 - 19 + 0*r**2. Factor j(s).
-2*s**2/3
Let t = 62 - 60. Let -27*f**2 - 63*f**t + 9*f**5 - 48*f**4 - 6 + 96*f**3 + 24*f + 15*f = 0. Calculate f.
1/3, 1, 2
Let n be (155/(-62))/(0 + -15). Factor -n*l**3 - 1/6*l**2 + 4/3*l + 2.
-(l - 3)*(l + 2)**2/6
Suppose -4*w - z = -12, 3*z - 5 + 2 = -w. Determine p, given that -4*p**2 - 15*p**w + 11*p**2 + 2*p**2 + 5*p**5 + p**2 = 0.
-2, 0, 1
What is f in 56*f + 4*f**2 + 268 + 516 - 3*f**2 = 0?
-28
Let t be (-160)/1360 + (-1)/((-102)/1270). Let a = 83/6 - t. Factor -3/4*x**4 + 3*x**3 + 0 + a*x - 15/4*x**2.
-3*x*(x - 2)*(x - 1)**2/4
Let t be (-6)/4*(-198)/66*4/6. Factor 3/7*a + 0 - 6/7*a**2 + 3/7*a**t.
3*a*(a - 1)**2/7
Let m = 44 - 30. Suppose -2*q = 3*i - 13, -4*i = -2*q - m + 6. What is c in -2/5*c**i + 4/5 + 8/5*c**2 - 2*c = 0?
1, 2
Let i(b) be the second derivative of -169*b**5/10 - 13*b**4/2 + 35*b**3 - 25*b**2 - 11*b + 7. Factor i(l).
-2*(l + 1)*(13*l - 5)**2
Let h(g) be the first derivative of 2*g**5/35 + 11*g**4/14 + 20*g**3/7 + 59. Factor h(o).
2*o**2*(o + 5)*(o + 6)/7
Let n(c) be the first derivative of -7*c**6/120 - c**5/30 - 5*c**2 - 7. Let j(f) be the second derivative of n(f). Find v, given that j(v) = 0.
-2/7, 0
Let c(n) be the second derivative of n**5/10 - 7*n**4/6 + 2*n**3 + 20*n + 2. Find d, given that c(d) = 0.
0, 1, 6
Suppose -1 + 9 = 2*m. Suppose p = m*d - 16, 12 = d + 2*d + p. Determine k so that 6*k + 2 + 2*k**d + 0*k**4 - 5*k**3 - 4*k**4 - k = 0.
-2, -1, -1/2, 1
Determine u so that -7*u**3 - 7*u**4 + 3*u**5 + 0*u**4 + 0*u**5 + 6*u**4 + 8*u**4 - 3*u**2 = 0.
-3, -1/3, 0, 1
Let z(a) = 8*a**2 + 176*a + 3. Let o be z(-22). Find j such that 2/7*j**5 + 8/7*j**4 - 2/7*j**o - 8/7*j**2 + 0*j + 0 = 0.
-4, -1, 0, 1
Suppose 5*b - 28 = -4*w, 22 = w - 4*b + 9*b. Let a be (40/(-12))/(w/(-3)). Let -z + 5*z**2 + 2 - 2*z**2 - z**3 - a*z**2 + 2*z**3 = 0. Calculate z.
-1, 1, 2
Let h(f) be the second derivative of 0 - 16*f**2 + 10*f**4 + 19/5*f**5 - 8*f**3 - 2*f**6 - 9*f. Let h(g) = 0. Calculate g.
-1, -2/5, 2/3, 2
Let d be 12/(-36) - (20/(-6) + 0). What is q in 81 - 13*q - 17 + q**2 - d*q = 0?
8
Let l = 6 - 0. Let x be (5 - l)/(2/(-14)). Factor x*p**3 + 2*p**3 - p**2 + 4*p**4 - p**3 + 5*p**2.
4*p**2*(p + 1)**2
Let f = -5344/7 + 764. Solve -2/7*c**4 + 0 + f*c**3 - 2/7*c**2 + 0*c = 0 for c.
0, 1
Suppose 3*g + 5*q = -8, 7 + 1 = 4*g + 2*q. Determine r, given that 35*r**3 - 33*r**2 - 22*r**g + 23*r**2 - 3*r**4 = 0.
0, 2/5, 1
Suppose -7*j + 33*j - 28*j = 4*j. What is u in 1/2*u**5 + j*u**4 - u**2 + 1 + 3/2*u - 2*u**3 = 0?
-1, 1, 2
Let w(x) = x - 3. Let t be w(9). Let c(l) = l**2 - 12*l - 10. Let s be c(13). Factor -6*o**4 - t*o**5 - 5*o