/3*f**3 + r*f = 0 for f.
-1, 0
Let i(w) be the first derivative of -3*w**5/35 + 3*w**4/28 + 5*w**3/7 + 9*w**2/14 + 82. Factor i(b).
-3*b*(b - 3)*(b + 1)**2/7
Let f(o) = 5*o**2 - 7*o + 2. Let d(b) = 15*b**2 - 21*b + 6. Suppose 6*x - 11 = 1. Suppose -x*m - 3*m + 40 = 0. Let h(z) = m*f(z) - 3*d(z). Factor h(t).
-(t - 1)*(5*t - 2)
Let q(s) be the third derivative of 0*s**4 + 0*s + 3*s**2 - 1/190*s**5 + 0*s**3 + 0 - 1/1140*s**6. Solve q(r) = 0 for r.
-3, 0
Suppose -57 + 63 = 2*i. Factor -2*w**4 + 19*w**i + 2*w + 2*w + 2*w**2 - 23*w**3 + 0*w**2.
-2*w*(w - 1)*(w + 1)*(w + 2)
Let p(g) = -g**2 - 17*g - 9. Let y be p(-16). Suppose -3*u = -5 - y. Factor 2*i + 4*i**2 - 2*i + u - 8*i.
4*(i - 1)**2
What is t in -10*t**5 - 53*t**5 - 813*t**2 - 261*t - 22 + 15*t**5 - 5 - 891*t**3 - 360*t**4 = 0?
-3, -1, -1/4
Suppose -2*z = -8 - 2. Let r = -2 + z. Factor 19*l - 2*l**2 - 18*l - 8*l**4 - 14*l**2 - 17*l + 28*l**r.
-4*l*(l - 2)**2*(2*l + 1)
Let y be 6 - (-9)/3 - 5. Suppose z + z + 2 = -2*t, -3*z - 1 = t. Factor z*f**3 - 2/7 - 2/7*f**y + 0*f + 4/7*f**2.
-2*(f - 1)**2*(f + 1)**2/7
Let b(f) be the third derivative of -14*f**2 - 1/6*f**3 + 0 + 0*f - 1/60*f**5 - 1/12*f**4. Factor b(s).
-(s + 1)**2
Let i(t) be the second derivative of 1/45*t**5 + 0*t**2 + 0 - 1/54*t**4 + t - 1/135*t**6 + 0*t**3. Factor i(m).
-2*m**2*(m - 1)**2/9
Let z(x) = -7*x**2 + 74*x + 66. Let o(q) = -3*q**2 + 37*q + 34. Let j(b) = 15*o(b) - 6*z(b). Factor j(i).
-3*(i - 38)*(i + 1)
Let q(g) = 36*g**2 + 9*g - 120. Let l be (-9)/(-6)*-1*-14. Let o(b) = 7*b**2 + 2*b - 24. Let v(y) = l*o(y) - 4*q(y). Factor v(d).
3*(d - 2)*(d + 4)
Let n(j) be the first derivative of j**4/9 + 4*j**3/9 + 2*j**2/3 - 6*j - 1. Let l(p) be the first derivative of n(p). Factor l(y).
4*(y + 1)**2/3
Factor -15*d**2 - 120*d + 39*d**2 - 40 + 92*d.
4*(d - 2)*(6*d + 5)
Suppose 10*r + 500 = 8*r. Let d = -1244/5 - r. Factor 24/5*o**2 - 4/5 + d*o + 14/5*o**3.
2*(o + 1)**2*(7*o - 2)/5
Suppose 0 = 4*c + 40 - 40. Factor -2/3*u + c + 2/3*u**3 + 1/3*u**4 - 1/3*u**2.
u*(u - 1)*(u + 1)*(u + 2)/3
Let t(l) be the first derivative of l**7/420 + l**6/240 + 8*l**2 - 16. Let w(j) be the second derivative of t(j). Factor w(n).
n**3*(n + 1)/2
Let t(z) be the first derivative of -3*z**5/35 - 153*z**4/28 - 675*z**3/7 - 1875*z**2/14 - 93. Factor t(r).
-3*r*(r + 1)*(r + 25)**2/7
Factor 177*i**4 + 181*i**4 + 62*i**3 - 24*i - 350*i**4 + 80*i**2.
2*i*(i + 2)*(i + 6)*(4*i - 1)
Let i be 0/((4 - 16) + 15)*(0 - 1). Factor i + 6/7*l - 3/7*l**2.
-3*l*(l - 2)/7
Let h(z) be the first derivative of 1/15*z**5 - 1/9*z**3 - 1/4*z**4 + 1/3*z**2 + 0*z + 1/18*z**6 + 29. Solve h(v) = 0.
-2, -1, 0, 1
Let a be 18/6*12/9. Suppose g - a*g = -6. What is d in 4/13 - 28/13*d**3 - 2/13*d**5 - 18/13*d + 12/13*d**4 + 32/13*d**g = 0?
1, 2
Let o(l) be the third derivative of l**5/420 - 2*l**4/21 - 11*l**2. Solve o(r) = 0.
0, 16
Let q(n) be the third derivative of n**5/420 + 3*n**4/56 + 10*n**3/21 - 308*n**2 + 2. Factor q(r).
(r + 4)*(r + 5)/7
Let l(u) be the second derivative of 0*u**3 + 0*u**2 + 1/60*u**5 + 4*u + 0 - 1/36*u**4. Factor l(i).
i**2*(i - 1)/3
Let i(c) = c + 15. Suppose -3*h - 13 = 2*x, 5*x + 6 = 26. Let l be i(h). Let -l*m - 11 + m**2 + 3 + m**2 - 4*m**2 = 0. Calculate m.
-2
Let b be (3 - -4)*(-40)/(-35). Let u = 11 - b. Factor -6*s**u - 14/3*s**2 - 4/3*s - 2/3*s**5 + 0 - 10/3*s**4.
-2*s*(s + 1)**3*(s + 2)/3
Let z(f) be the first derivative of -4*f**3/3 + 76*f**2 - 420*f - 715. Factor z(j).
-4*(j - 35)*(j - 3)
Solve 2/3*m + 1/3*m**3 + 7/6*m**2 + 0 - 1/6*m**4 = 0.
-1, 0, 4
Find f such that 5/2*f**2 + 165/2 - 35*f = 0.
3, 11
Let s(z) = -7*z**2 + 12*z - 5. Let g(p) = 11*p**2 - 19*p + 8. Let x(h) = 5*g(h) + 8*s(h). Factor x(f).
-f*(f - 1)
Let r(y) be the first derivative of 7*y**5 - 235*y**4/4 - 70*y**3/3 - 664. Determine a so that r(a) = 0.
-2/7, 0, 7
Let o be (-8)/(6 - 2) + 6. Factor -12*t**2 + 3*t**4 + t**o + 0*t**2 + 3*t**3 + t**3 + 8 - 4*t.
4*(t - 1)**2*(t + 1)*(t + 2)
Let m(s) be the first derivative of -s**4/6 + 4*s**3/3 - 5*s**2/3 - 8*s + 591. Factor m(u).
-2*(u - 4)*(u - 3)*(u + 1)/3
Let u(d) be the third derivative of -d**8/2016 - d**7/1260 + d**6/144 - d**5/120 - 2*d**2 + 7*d. Factor u(t).
-t**2*(t - 1)**2*(t + 3)/6
Let q(x) = x**2 - 5*x - 3. Let l be q(6). Determine z, given that 172*z**2 - 29*z + 125*z + 31*z**4 - 4*z**4 + 16 + 120*z**l + z**4 = 0.
-2, -1, -2/7
Let b(d) be the second derivative of -d**4/3 + d**3/6 + 125*d. Find w such that b(w) = 0.
0, 1/4
Let z = 11/10 + -39/40. Let x(s) be the third derivative of 6*s**2 + 0*s + 7/20*s**5 - z*s**6 - 2*s**3 + 0 + s**4. Factor x(r).
-3*(r - 2)*(r + 1)*(5*r - 2)
Factor -3/2*w**2 + 0*w + 0 - 3/4*w**5 + 0*w**4 + 9/4*w**3.
-3*w**2*(w - 1)**2*(w + 2)/4
Let q(o) = 10*o**3 - 20*o. Let i(w) = 19*w - 4*w**2 - 3*w**2 + 5*w**2 + w**2 - 10*w**3. Let v(x) = -5*i(x) - 4*q(x). Solve v(b) = 0.
-3/2, 0, 1
Suppose 7*z = z + 288. Find l such that -24*l**2 - 21*l**2 - 21 + 24*l**3 + z*l**4 + 18 - 24*l = 0.
-1, -1/4, 1
Let g(v) be the first derivative of v**5/30 - 3*v**4/8 + 13*v**3/18 + 15*v**2/4 - 25*v/3 + 367. Determine s, given that g(s) = 0.
-2, 1, 5
Let m = 34 + -25. Let g(h) = 7*h**2 + 12*h - 17. Let w(x) = -29*x**2 - 49*x + 69. Let u(l) = m*g(l) + 2*w(l). Determine d, given that u(d) = 0.
-3, 1
Let b(u) be the second derivative of -1/70*u**5 + 0 + 2/21*u**3 - 1/42*u**4 + 9*u + 0*u**2. Factor b(x).
-2*x*(x - 1)*(x + 2)/7
Let u(m) = -7*m - 2. Let r(t) = -5*t**2 - 71*t - 22. Let q(z) = 4*r(z) - 28*u(z). Factor q(c).
-4*(c + 4)*(5*c + 2)
Let a(l) be the third derivative of l**8/2184 + 16*l**7/1365 + 3*l**6/52 - 27*l**5/65 - 77*l**2. Factor a(j).
2*j**2*(j - 2)*(j + 9)**2/13
Let z(a) be the first derivative of -16*a**3/9 - 13*a**2/3 + 4*a + 451. Factor z(u).
-2*(u + 2)*(8*u - 3)/3
Let t be 39/12 + (21/12 - 2). Factor -55*i**2 - 5*i**4 - 5*i**5 + 60*i**2 + 0*i**t + 5*i**3.
-5*i**2*(i - 1)*(i + 1)**2
What is p in -37*p + 5*p**2 - 24*p + 60 + 52*p - 26*p = 0?
3, 4
Suppose -i - 3*k = 6, -i + 0*i = 2*k + 3. Let 2*h**i + 0*h**3 + 385*h**2 - 4*h - 383*h**2 = 0. What is h?
-2, 0, 1
Let w be 15*-1*(-6)/18. Let x(n) be the second derivative of 0 - 1/20*n**w + 0*n**2 + 0*n**3 - 1/6*n**4 - 6*n + 1/42*n**7 + 1/15*n**6. Let x(v) = 0. What is v?
-2, -1, 0, 1
Let 0 - 40/7*v**2 - 26/21*v**3 + 20/21*v**4 - 2/21*v**5 - 24/7*v = 0. What is v?
-1, 0, 6
Let i(b) be the first derivative of -3/4*b**4 - 1/3*b**3 - 3/5*b**5 - 18 + 0*b - 1/6*b**6 + 0*b**2. What is u in i(u) = 0?
-1, 0
Let l(b) be the third derivative of 1/1140*b**6 + 1/190*b**5 - 1/57*b**4 + 0 + 0*b**3 + 0*b + 12*b**2. Factor l(c).
2*c*(c - 1)*(c + 4)/19
Let z(q) be the third derivative of 0*q**4 + 0 + 11*q**2 + 0*q**5 - 1/840*q**6 + 0*q**3 - 1/2352*q**8 + 0*q + 1/735*q**7. Factor z(j).
-j**3*(j - 1)**2/7
Let g(v) = -v**3 - 12*v**2 - 11*v - 2. Let a(l) = -4*l**3 - 49*l**2 - 45*l - 9. Let o(p) = -2*a(p) + 9*g(p). Factor o(m).
-m*(m + 1)*(m + 9)
Suppose 33*w**2 + 3*w**3 - 142 + 274 + 67*w + 77*w + 12*w**2 = 0. Calculate w.
-11, -2
Let t = 3/107 - -737/428. Let v = t + -1. Solve -1/2 - 1/4*j**2 - v*j = 0 for j.
-2, -1
Let p = 1 - -14. Suppose 4*y - p = -y. Suppose -5*f**2 - 2*f**3 + 4*f**2 - 3*f**2 - f**4 + y*f**2 = 0. Calculate f.
-1, 0
Let z(c) be the third derivative of c**8/1680 + 4*c**7/525 - 19*c**6/600 + c**5/30 + 54*c**2 - 1. Solve z(j) = 0 for j.
-10, 0, 1
Let h(z) be the third derivative of z**8/80640 - z**7/4032 + 7*z**5/60 + 15*z**2. Let j(d) be the third derivative of h(d). Solve j(r) = 0 for r.
0, 5
Suppose 6/11 + 2/11*j**5 - 4/11*j**3 - 12/11*j**2 + 6/11*j**4 + 2/11*j = 0. What is j?
-3, -1, 1
Let n(d) = d**4 + d + 1. Let f(t) = -4*t**5 + 26*t**4 - 56*t**3 + 8*t**2 + 58*t - 38. Let k(s) = -f(s) - 2*n(s). Determine w, given that k(w) = 0.
-1, 1, 3
Factor 4/3*y + 133/3*y**3 + 49*y**4 + 40/3*y**2 + 0.
y*(3*y + 1)*(7*y + 2)**2/3
Let u = 258 - 128. Let c = u + -130. Solve -6/5*f + 3/5*f**2 + c = 0 for f.
0, 2
Let l(x) be the first derivative of x**5/90 - x**4/12 + 2*x**3/9 - 7*x**2/2 + 12. Let i(h) be the second derivative of l(h). Factor i(o).
2*(o - 2)*(o - 1)/3
Let g(o) be the second derivative of -20/51*o**3 + 1/119*o**7 - 14/255*o**6 + 8/17*o**2 + 0 + 1/17*o**4 + 25*o + 1/10*o**5. Determine h so that g(h) = 0.
-1, 2/3, 1, 2
Suppose -28*p = 19*p - 423. Let b(t) be the second