+ 90*p**2 + 75*p + 8. Let d(k) = -11*k**3 - 30*k**2 - 25*k - 3. Let b(f) = 3*c(f) + 8*d(f). Solve b(h) = 0 for h.
-5, -1, 0
Let v = 2/8131 - -975698/89441. Factor 252/11*y**3 + 98/11*y**4 + 0 + 16/11*y + v*y**2.
2*y*(y + 2)*(7*y + 2)**2/11
Let k(x) be the second derivative of -x**5/10 + 17*x**4/6 - 52*x**3/3 + 3*x - 55. Factor k(b).
-2*b*(b - 13)*(b - 4)
Let d = 3870 + -383134/99. Let m = d + 2/9. Factor -6/11*w**2 - m - 2/11*w**3 - 6/11*w.
-2*(w + 1)**3/11
Let o(r) be the third derivative of r**7/105 - 23*r**6/60 - r**5/30 + 23*r**4/12 + 209*r**2. Factor o(d).
2*d*(d - 23)*(d - 1)*(d + 1)
Let r(h) be the first derivative of 2*h - 5/66*h**4 + 0*h**2 - 4 - 2/55*h**5 - 2/33*h**3 - 1/165*h**6. Let k(n) be the first derivative of r(n). Factor k(i).
-2*i*(i + 1)**2*(i + 2)/11
Solve -88/17 + 2/17*u**2 + 14/17*u = 0 for u.
-11, 4
Factor -10/3*m**2 - 1/3*m**3 + 0 - 3*m.
-m*(m + 1)*(m + 9)/3
Suppose -3*s - 2 + 11 = 0. Suppose 6 = -q + s*q. Suppose -16*z**3 + 28*z**q - 2*z**4 - 17*z**2 - 2*z**4 + 5*z**2 + 4*z = 0. What is z?
0, 1
Let -4*q - 4*q**2 - 18*q + 34*q + 16 = 0. What is q?
-1, 4
Let s(o) be the third derivative of o**6/1200 + o**5/600 - o**4/15 + o**3/3 - 53*o**2 - 2. Determine h, given that s(h) = 0.
-5, 2
Let t = 181562/5 + -36312. Solve 38/5*m**4 + t*m**3 - 46/5*m**2 + 14/5*m**5 + 8/5 - 16/5*m = 0 for m.
-2, -1, 2/7, 1
Factor 6*c**2 + 63/2*c - 3/2*c**3 + 0.
-3*c*(c - 7)*(c + 3)/2
Let f(s) be the first derivative of s**6/21 - 2*s**5/35 - s**4/7 + 123. Factor f(v).
2*v**3*(v - 2)*(v + 1)/7
Let q(t) = 7*t**4 + 5*t**3 - 31*t**2 + 19*t + 10. Let x(s) = 4*s**4 + 3*s**3 - 16*s**2 + 9*s + 6. Let y(f) = 3*q(f) - 5*x(f). Find c, given that y(c) = 0.
-4, 0, 1, 3
Let z = 2/11 + 7/22. Let b be (-16)/32*2/(-1)*0. Let -h**3 - z*h**2 + b*h + 0 = 0. What is h?
-1/2, 0
Let d(p) = p**5 - p**3 - p**4 + 5 - 6 + 2. Let l(k) = -8*k**5 - 2*k**4 + 13*k**3 + 10*k**2 - 5*k - 8. Let v(u) = 3*d(u) + l(u). Factor v(b).
-5*(b - 1)**2*(b + 1)**3
Let 0 - 10/7*u**4 - 10/7*u**3 - 2/7*u**5 + 10/7*u**2 + 12/7*u = 0. What is u?
-3, -2, -1, 0, 1
Factor -70 + 368*n - 870*n**2 - 790*n + 620*n**3 - 40*n**4 + 847*n.
-5*(n - 14)*(2*n - 1)**3
Let u(w) be the first derivative of w**5/390 + 2*w**4/39 + 4*w**3/13 + 9*w**2/2 - 37. Let b(y) be the second derivative of u(y). Factor b(j).
2*(j + 2)*(j + 6)/13
Suppose -5*b = -23 - 17. Suppose 0 = -6*h + b*h - 6. Find p, given that 10*p**3 + 17 + 4*p**2 - 17 + 2*p**3 + h*p**5 + 11*p**4 = 0.
-2, -1, -2/3, 0
Let o be 109/7 + 27/63. Let k = o + -12. Factor -9*b**3 + 4*b**4 + 6*b + 3*b + 5*b**3 - k*b**2 - 5*b.
4*b*(b - 1)**2*(b + 1)
Let r(f) be the second derivative of -1/3*f**4 + 15*f - 1/5*f**5 + 0 + 8*f**2 + 8/3*f**3. Factor r(q).
-4*(q - 2)*(q + 1)*(q + 2)
Let x(p) be the first derivative of p**6/60 - p**5/20 - p**4/8 + p**3/3 + p**2 - 16*p + 14. Let t(z) be the first derivative of x(z). Factor t(k).
(k - 2)**2*(k + 1)**2/2
Suppose -2*n - 18 = -5*n. Suppose n*z = 99 + 21. Solve -29*b**2 - 4 + 3*b**4 - 20*b**3 - 8*b**4 - 1 - z*b - b**2 = 0 for b.
-1
Let t = 684 + -1363/2. Find d such that t - 2*d - 1/2*d**2 = 0.
-5, 1
Let l = -1306 + 1306. Let w = -474/7 + 68. Factor -w*j**3 + 4/7*j**2 + l - 2/7*j.
-2*j*(j - 1)**2/7
Factor -2*a**2 + 0*a - 2/3*a**4 + 8/3*a**3 + 0.
-2*a**2*(a - 3)*(a - 1)/3
Let l be ((-12)/(-12))/(5/2 - 2). Determine u so that 23*u - 48*u + 23*u - 7*u**3 + 7*u**l + 2*u**4 = 0.
0, 1/2, 1, 2
Let a(b) be the first derivative of b**4/4 + 54*b**3 - 327*b**2/2 + 164*b + 588. Factor a(k).
(k - 1)**2*(k + 164)
Let v(p) be the second derivative of p**4/48 - 17*p**3/6 + 289*p**2/2 - 130*p. Solve v(s) = 0 for s.
34
Let i(k) be the third derivative of -7*k**2 + 1/360*k**6 - 1/1260*k**7 + 0 + 0*k**5 + 1/36*k**3 - 1/72*k**4 + 0*k. Factor i(s).
-(s - 1)**3*(s + 1)/6
Let b(k) = -9*k**2 - 12*k - 3. Suppose 0 = -2*f, 0 = -2*i + 3*f + 4 - 12. Let c(w) = 3*w**2 + 4*w + 1. Let a(o) = i*b(o) - 11*c(o). Factor a(m).
(m + 1)*(3*m + 1)
Let u be 0*8/88*-1. Let q(s) be the second derivative of 1/3*s**2 - 3*s + 1/9*s**4 - 1/60*s**5 - 5/18*s**3 + u. Factor q(b).
-(b - 2)*(b - 1)**2/3
Let p = -373 - -376. Suppose 1/2*r**3 + p*r**2 + 0 + 9/2*r = 0. What is r?
-3, 0
Let b = 41 + -71. Let m be (-8)/(-60) - 116/b. What is p in -p**5 - 3*p**4 - p**5 - 4*p**3 - p**m + 2*p**3 = 0?
-1, 0
Let a(p) be the first derivative of -27*p**7/280 - 13*p**6/40 - p**5/3 - p**4/6 - 8*p**3 + 3. Let u(h) be the third derivative of a(h). Let u(f) = 0. What is f?
-1, -2/9
Let l(q) be the third derivative of 3*q**6/100 + 71*q**5/75 + 103*q**4/60 - 2*q**3 + 139*q**2. Solve l(f) = 0 for f.
-15, -1, 2/9
Factor -k**4 - 16/3*k**3 - 2*k + 0 - 23/3*k**2.
-k*(k + 2)*(k + 3)*(3*k + 1)/3
Suppose -4*w + 32 + 0 = 0. Factor -w*a**2 - 21*a + 6*a**2 - a**2.
-3*a*(a + 7)
Let g(q) be the third derivative of 1/4*q**3 + 3/16*q**4 + 0 + 1/80*q**6 + 3/40*q**5 + 0*q - 6*q**2. Determine p so that g(p) = 0.
-1
Suppose -3*n + 12 = 0, n - 5*n - 407 = -3*t. Suppose t*c - 15 = 138*c. Suppose -48/7*w**3 + 0 + 6*w**4 + 8/7*w**2 + 14*w**c + 0*w = 0. Calculate w.
-1, 0, 2/7
Let x(s) be the first derivative of 17 + 0*s - 3*s**2 + 2/3*s**3. Factor x(a).
2*a*(a - 3)
Let d(n) = -n**2. Let o(z) = -14*z**2 + 4*z - 2. Let f(c) = -12*d(c) + o(c). Suppose f(u) = 0. What is u?
1
Let f(w) = w**4 + 2*w**2 - 3*w - 3. Let m = -48 - -47. Let r(d) = -d**4 + d + 1. Let i(v) = m*f(v) - 3*r(v). Factor i(p).
2*p**2*(p - 1)*(p + 1)
Let c(y) = 7*y - 42. Let v be c(6). Let q(j) be the first derivative of -2 - 2/11*j**2 + 2/33*j**3 + v*j. What is b in q(b) = 0?
0, 2
Let h be (-17)/((-1309)/33)*(-2)/(-3). Factor 0*u + 0 + h*u**3 + 2/7*u**2.
2*u**2*(u + 1)/7
Let i(q) be the third derivative of q**8/10080 + q**7/630 - q**6/72 - 19*q**5/60 - 19*q**2. Let d(s) be the third derivative of i(s). Let d(h) = 0. What is h?
-5, 1
Determine f so that -324*f**4 - 304*f**2 - 119 + 32*f + 792*f**3 + 119 = 0.
0, 2/9, 2
Suppose 5*a - p = -0*a + 17, 12 = 2*a - 3*p. Let v(t) = -3*t**2 + 27*t + 3. Let k be v(9). Find o such that -4*o**k + 4*o**2 + 2*o**a - 2*o + 0*o = 0.
0, 1
Suppose a - m - 4*m = -20, -2*a - 8 = -2*m. Suppose b + 4*x - 5*x - 7 = a, 3*x + 15 = b. Factor 2/3*z**4 + 2/3*z**b + 2/9*z**2 + 2/9*z**5 + 0 + 0*z.
2*z**2*(z + 1)**3/9
Let o(d) be the first derivative of 9/2*d**2 - 1/480*d**6 + 1/96*d**4 + 0*d**3 + 8 + 0*d**5 + 0*d. Let z(u) be the second derivative of o(u). Factor z(l).
-l*(l - 1)*(l + 1)/4
Let s(n) = -n + 21. Let j be s(7). Let 5*y - 3*y - 4*y**2 + j*y - 16 = 0. Calculate y.
2
Suppose 32/3*k - 64/3*k**2 + 37/3*k**4 - 5/3*k**5 + 0 - 18*k**3 = 0. Calculate k.
-1, 0, 2/5, 4
Let n(p) = p**3 - p**2 - 7*p - 4. Let f be n(-3). Let u = f - -21. Find m such that -14 + 2 + 249*m**2 + 7*m + 5*m - 252*m**u = 0.
2
Let z(u) = -3*u - 15. Let t(h) = 3*h + 16. Let x(l) = 3*t(l) + 4*z(l). Let a be x(-4). Find r such that 2/3*r**4 - 2/3*r**2 - 2/3*r**3 + 2/3*r + a = 0.
-1, 0, 1
Suppose -5*y = -z - 22 - 2, 5*y + 4*z = 4. Suppose 20 = 4*n, y*j + j - 2*n = -10. Solve 4/7*v**5 + j*v + 8/7*v**2 - 2/7 - 6/7*v**4 - 4/7*v**3 = 0 for v.
-1, -1/2, 1
Let s be 2*(-5 + (0 - -3)). Let w be (s + -1)*(104/40 + -3). Factor 0*g - 2/5*g**3 - 2/5*g**w + 0.
-2*g**2*(g + 1)/5
Let w be (210/25 - 8) + 67/(-180). Let x(y) be the third derivative of w*y**5 + 1/72*y**6 + 0*y + 0*y**4 - 7*y**2 + 0 + 0*y**3. Solve x(z) = 0.
-1, 0
Let y = 69 - 63. Factor y*k - 5*k - 5*k**2 + 3*k + 11*k.
-5*k*(k - 3)
Let f be 52/16 - (0 - 2)/(-8). Suppose -3*k - 2 = -3*z + 1, -z + 17 = f*k. Suppose q**3 + 1/2*q**k + 0*q**2 - q - 1/2 = 0. Calculate q.
-1, 1
Let i(v) be the third derivative of v**6/210 - 4*v**5/105 + 5*v**4/42 - 4*v**3/21 - 2*v**2 - 116. Factor i(o).
4*(o - 2)*(o - 1)**2/7
Factor -u**3 + 0*u + 0 - 3/2*u**4 + u**5 + 0*u**2.
u**3*(u - 2)*(2*u + 1)/2
Let 3*z + 109/2*z**2 - 37/2*z**3 + 0 = 0. What is z?
-2/37, 0, 3
Let y(g) be the first derivative of g**6/105 - 4*g**5/35 + 11*g**4/21 - 8*g**3/7 + 9*g**2/7 + 53*g + 30. Let o(j) be the first derivative of y(j). Factor o(x).
2*(x - 3)**2*(x - 1)**2/7
Let t = 3047 - 15227/5. Factor -12/5*c**2 + t*c + 0 + 4/5*c**3.
4*c*(c - 2)*(c - 1)/5
Let h(t) be the first derivative of 1/4*t**4 + 5/6*t**2 - t + 3 + 11/9*t**3. Factor h(k).
(k + 1)*(k + 3)*(3*k - 1)/3
Let q(s) be the first derivative of s**5/25 - s**4/20 - s**3/15 + s**2/10 - 38. Factor q(v)