*f**3.
(f - 7)*(f + 1)**2
Let x(f) = -9*f + 6. Let p be x(9). Let n be (12/p)/(1 - (-12)/(-10)). Factor n*d + 2/5*d**2 + 2/5.
2*(d + 1)**2/5
Let w(f) be the second derivative of -32041*f**4/2 + 716*f**3/3 - 4*f**2/3 - 575*f. Factor w(x).
-2*(537*x - 2)**2/3
Let a = 2720 + -2720. Factor 0*n - 3/4*n**2 + 9/4*n**4 + a*n**3 + 0 + 3/2*n**5.
3*n**2*(n + 1)**2*(2*n - 1)/4
Solve -105/2*v**2 - 100*v + 45/2*v**4 - 35/2*v**5 + 235/2*v**3 + 30 = 0 for v.
-2, -1, 2/7, 1, 3
Let h(s) = -s**3 + s**2 + s. Let n(v) = 6*v**3 - 3*v**2 - 2*v - 3. Let k(y) = 4*h(y) + n(y). Let d be k(1). Factor -2/11*q**d + 8/11*q + 0.
-2*q*(q - 4)/11
Let v(y) be the third derivative of 7*y**5/90 - 509*y**4/36 - 146*y**3/9 - 5*y**2 - 13*y. Let v(c) = 0. Calculate c.
-2/7, 73
Let i(f) be the first derivative of f**6 - 71*f**5/10 + 45*f**4/8 + 61*f**3/6 - 57*f**2/4 + 5*f - 77. Determine u, given that i(u) = 0.
-1, 1/4, 2/3, 1, 5
Let t(m) be the second derivative of 1/3*m**4 - 3*m - 40/3*m**3 + 200*m**2 + 0. Let t(j) = 0. What is j?
10
Let t(m) be the second derivative of 0*m**2 + 8*m - 1/15*m**6 + 1/6*m**4 + 0 - 1/20*m**5 + 1/6*m**3. Factor t(l).
-l*(l - 1)*(l + 1)*(2*l + 1)
Let p(f) = -8*f**5 - f**4 + 6*f**3 - 4*f**2 - 2*f - 9. Let s(x) = -x**5 + x**3 - x**2 - 1. Let z(a) = -4*p(a) + 36*s(a). Find j, given that z(j) = 0.
-2, 0, 1
Let b be 1/5*(18 + -18)/27. Factor -2/5*t**4 - 4/5*t**2 + b + 0*t - 6/5*t**3.
-2*t**2*(t + 1)*(t + 2)/5
Let n(q) be the first derivative of -q**4/2 - 4*q**3/3 + q**2 + 4*q - 48. Factor n(k).
-2*(k - 1)*(k + 1)*(k + 2)
Let l = 7099 - 42593/6. Suppose 0 + 2/3*g**2 + 0*g + 2/3*g**3 - l*g**5 - 1/6*g**4 = 0. Calculate g.
-2, -1, 0, 2
Let w(o) be the first derivative of 0*o + 1/3*o**2 - 12 - 8/9*o**3. Factor w(t).
-2*t*(4*t - 1)/3
Suppose 5*r + 5*k = 85, -r - 5*k + 5 = -0*r. Suppose -6*v + 8*v**4 - 8*v**3 - r*v**2 - 2*v**5 - 20*v**4 - 16*v**3 = 0. Calculate v.
-3, -1, 0
Let x(w) = 1 + 6 + 1 - 7*w**2 - w**3 + 0*w**3 - 5*w. Let y be x(-6). Suppose 1 + t**2 - 1 + 0*t**y - 1 = 0. What is t?
-1, 1
Let w(b) be the third derivative of 125*b**7/42 + 325*b**6/3 - 270*b**5 + 820*b**4/3 - 440*b**3/3 + 3*b**2 + 51*b. Factor w(q).
5*(q + 22)*(5*q - 2)**3
Let x(l) be the second derivative of -l**7/42 + l**6/6 + 21*l**5/20 - 53*l**4/12 + 14*l**3/3 + 97*l. Factor x(y).
-y*(y - 7)*(y - 1)**2*(y + 4)
Let 2/11*b**3 - 2/11*b**2 - 32/11*b - 40/11 = 0. What is b?
-2, 5
Factor -3/8*l**2 + 291/4*l - 28227/8.
-3*(l - 97)**2/8
Let f(a) be the first derivative of 4*a**5/25 - 16*a**3/5 - 32*a**2/5 - 338. What is i in f(i) = 0?
-2, 0, 4
Let k(y) be the third derivative of -y**7/105 - y**6/15 + y**5/10 + 3*y**4/2 - 136*y**2. Find i such that k(i) = 0.
-3, 0, 2
Let u(k) = -25603*k**2 - 1953*k - 39. Let s(z) = -25604*z**2 - 1964*z - 40. Let b(c) = -3*s(c) + 4*u(c). Factor b(w).
-4*(80*w + 3)**2
Let s = 352 + -348. Let o(x) be the first derivative of 1/2*x**6 + 0*x + 0*x**2 + 3*x**s + 2 + 0*x**3 - 12/5*x**5. Factor o(m).
3*m**3*(m - 2)**2
Let c be (2/12*3)/((-11)/(-66)). What is l in 0*l**3 - 8*l + 2*l**3 - 16*l - 5*l**c - 27*l**2 = 0?
-8, -1, 0
Suppose 37*y - 34*y - 87 = 0. Let o = 32 - y. Factor 6/5*j**4 + 2/5*j**5 + 2/5*j**2 + 0*j + 6/5*j**o + 0.
2*j**2*(j + 1)**3/5
Factor 11 + 2*q**3 - 49 + 14 - 2*q + 24*q**2.
2*(q - 1)*(q + 1)*(q + 12)
Let j(b) be the first derivative of b**5/60 + b**4/12 + b**3/36 - b**2/4 - 11. Find m, given that j(m) = 0.
-3, -2, 0, 1
Let q(f) be the third derivative of -1/15*f**5 - 1/12*f**4 + 0 + 1/60*f**6 + 0*f + 2/3*f**3 + 4*f**2. Factor q(l).
2*(l - 2)*(l - 1)*(l + 1)
Let r = 33 - -40. Let p = r + -73. Solve 1/3 - 1/3*n**4 + 2/3*n + p*n**2 - 2/3*n**3 = 0 for n.
-1, 1
Let k be 220/30 - ((-20)/24)/5. Let f(j) be the first derivative of 0*j + k*j**2 - 1 - 5/3*j**3. Suppose f(w) = 0. What is w?
0, 3
Let v(r) be the third derivative of 7*r**6/576 - 3*r**5/160 - r**4/24 + 11*r**3/6 + 5*r**2. Let m(z) be the first derivative of v(z). Solve m(x) = 0 for x.
-2/7, 4/5
Let p(d) be the first derivative of -2*d**5/35 - 11*d**4/42 - 22*d**3/63 - d**2/21 + 4*d/21 + 199. Determine j so that p(j) = 0.
-2, -1, 1/3
Let y(i) = -i**3 - 3*i**2 + 75*i + 52. Let p be y(-10). What is o in -2/11*o**p + 0 - 16/11*o = 0?
-8, 0
Let o(c) be the second derivative of 5*c**4/36 - 25*c**3/18 - 20*c**2 - 231*c. What is k in o(k) = 0?
-3, 8
Let m be (-5 - (-1 + (6 - 7))) + 10/2. Factor 0 + 2/3*j**m + 4/3*j.
2*j*(j + 2)/3
Suppose 2*p + 0*p - 454 = -2*y, 2*y + p = 455. Factor -4*m**4 + 228*m**3 - 4 - y*m**3 + 8*m**2.
-4*(m - 1)**2*(m + 1)**2
Let l(f) be the first derivative of -9 - 1/22*f**4 - 3/11*f**2 - 2/11*f**3 - 2/11*f. Factor l(o).
-2*(o + 1)**3/11
Let b(i) be the second derivative of -7/3*i**3 - 5/6*i**4 - 1/10*i**5 + 0 - 3*i - 3*i**2. Factor b(k).
-2*(k + 1)**2*(k + 3)
Let v = -7731/11 + 703. Let 2/11 + 4/11*i + v*i**2 = 0. Calculate i.
-1
Let f(n) be the second derivative of -73/4*n**4 - 28*n**3 - 1/14*n**7 - 129/20*n**5 + 0 - 11/10*n**6 + 18*n - 24*n**2. Factor f(z).
-3*(z + 1)**3*(z + 4)**2
Factor 9*k**4 + k**4 - 4*k**2 + 16*k**2 + 15*k**3 - 7*k**2.
5*k**2*(k + 1)*(2*k + 1)
Suppose 3*k = 6*k - 39. Factor -2 + 10 + 4*s**3 + s - k*s + 0.
4*(s - 1)**2*(s + 2)
Factor -251*y**2 - 252*y**2 + 491*y**2 + 11*y + y**3.
y*(y - 11)*(y - 1)
Let o(l) = 3*l**3 + 3*l**2 - 3*l - 5. Let j(u) = -10*u**3 - 8*u**2 + 10*u + 15. Let s(x) = 2*j(x) + 7*o(x). Let s(h) = 0. What is h?
-5, -1, 1
Suppose 0 + 29/3*d**4 + 23/3*d**3 - 29/3*d**2 - 26/3*d**5 + d = 0. Calculate d.
-1, 0, 3/26, 1
Let k(m) be the second derivative of -m**7/252 + m**5/60 - m**3/36 + 3*m - 1. Factor k(f).
-f*(f - 1)**2*(f + 1)**2/6
Suppose -5*m - 5*f = -20, -7*m + f + 11 = -3*m. Factor 2*s**m - 2*s**2 + 3*s**2 + 0*s**3 - 4*s - 4 - s**3.
(s - 2)*(s + 1)*(s + 2)
Let b(f) be the third derivative of -f**5/15 - f**4 - 10*f**3/3 + 32*f**2. Factor b(q).
-4*(q + 1)*(q + 5)
Let t(m) = -2*m**3 + 14*m**2 + 30*m + 18. Let s(l) = 2*l**3. Suppose b + 3*b = -5*u - 10, 0 = 4*b + 20. Let n(j) = u*t(j) + 4*s(j). Factor n(w).
4*(w + 1)*(w + 3)**2
Let t(x) be the third derivative of -1/240*x**5 + 1/24*x**3 + 0 + 4*x**2 + 1/480*x**6 - 1/96*x**4 + 0*x. Find s such that t(s) = 0.
-1, 1
Let l(f) = 233*f + 5126. Let z be l(-22). Determine c, given that 2/7*c**3 - 2/7*c + z + 0*c**2 = 0.
-1, 0, 1
Factor 96/5 + 4/5*j**2 + 44/5*j.
4*(j + 3)*(j + 8)/5
Suppose 151*g - 432 = 21. Solve 0*z**2 + 4/13*z**g + 0*z - 2/13*z**5 + 0 - 2/13*z**4 = 0 for z.
-2, 0, 1
Let d(l) be the first derivative of 9*l**7/1120 + 11*l**6/480 - l**5/10 - l**4/8 + 20*l**3/3 - 10. Let t(v) be the third derivative of d(v). Factor t(w).
3*(w - 1)*(w + 2)*(9*w + 2)/4
Let t = -564 + 567. Let b(g) be the first derivative of 1/15*g**t + 3/5*g**2 + 9/5*g + 10. Factor b(z).
(z + 3)**2/5
Factor 5*v - 560*v**4 + 60*v**2 - 56 + 6*v + 556*v**4 - 52*v**3 + 41*v.
-4*(v - 1)**2*(v + 1)*(v + 14)
Let r = -84 - -86. Let z be 3/2*r + (17 - 18). Factor 0 + 0*v + 0*v**z - 3/7*v**3 - 6/7*v**4 - 3/7*v**5.
-3*v**3*(v + 1)**2/7
Let m be (25/(-10))/(8/(-16)). Suppose -6/7*f**m + 0*f + 0 + 2*f**4 - 8/7*f**2 + 0*f**3 = 0. What is f?
-2/3, 0, 1, 2
Let s(u) = -u**3 - 2*u**2 + u + 4. Let a be s(-3). Suppose -3*v - 4*j = -a, 12 = -0*v + 5*v + 2*j. Factor 0 - 2/11*n**v + 2/11*n.
-2*n*(n - 1)/11
Suppose 10*n = 16*n - 24. Suppose 29 = -4*z + 7*z + n*b, 2*z = 2*b - 4. Solve 0 + 2/9*j**z + 8/9*j**2 + 2/3*j = 0 for j.
-3, -1, 0
Let y(v) be the first derivative of 19 - 10*v**2 + 4/3*v**3 + 24*v. Let y(w) = 0. Calculate w.
2, 3
Let z(d) be the second derivative of -d**4/20 + 12*d**3/5 - 216*d**2/5 + 109*d. Suppose z(v) = 0. What is v?
12
Let l(n) be the first derivative of -n**6/195 - n**5/65 - n**4/78 + 16*n - 12. Let r(s) be the first derivative of l(s). Suppose r(p) = 0. Calculate p.
-1, 0
Let k(h) be the third derivative of 1/105*h**7 - 4*h**2 + 0*h**6 + 0 - 1/10*h**5 + 1/6*h**4 + 0*h + 0*h**3. Let k(f) = 0. Calculate f.
-2, 0, 1
Let m(q) be the third derivative of -q**8/84 + 2*q**7/35 - q**6/15 - 2*q**5/15 + q**4/2 - 2*q**3/3 - 83*q**2. Factor m(l).
-4*(l - 1)**4*(l + 1)
Let i(p) = -37*p**3 + 48*p**2 + 35*p - 46. Let m(a) = 129*a**3 - 168*a**2 - 123*a + 162. Let t(f) = 18*i(f) + 5*m(f). Factor t(z).
-3*(z - 1)**2*(7*z + 6)
Factor 3/5*h**2 + 4/5 - 13/5*h.
(h - 4)*(3*h - 1)/5
Let z = 201 - 199. Let s(m) be the first derivative of 0*m**z