= -2*l**5 - 10*l**4 - 22*l**3 - 12*l**2 - 12*l. Let x(i) = -18*c(i) - 4*g(i). Factor x(s).
4*(s + 1)**5
Let j(o) be the first derivative of 22 - 9/10*o**5 + 107/16*o**4 - 27/2*o**2 + 1/24*o**6 + 54*o - 33/2*o**3. Factor j(p).
(p - 6)**3*(p - 1)*(p + 1)/4
Let w be 8*(-3)/4*32/48. Let t be -5 + 5 + w/(-14). Solve -t*d**2 - 2/7 - 4/7*d = 0 for d.
-1
Suppose 3*p = 4*m + 473, 358 = 3*p - 3*m - 113. Let s be ((-3)/3)/(-1) + p. Find o such that -s*o**3 - 5*o + 165*o**3 - o - 3*o**2 = 0.
-2/3, 0, 1
Let f be (-6 + 33)/(1*1/(-1)). Let r be (-3)/9 + (-9)/f. Find u such that 0 + 1/5*u**5 + 0*u**2 + 0*u - 1/5*u**3 + r*u**4 = 0.
-1, 0, 1
Let g(o) be the third derivative of -o**8/1512 - o**7/189 + o**6/270 + o**5/27 - o**4/108 - 5*o**3/27 + 104*o**2. Find q, given that g(q) = 0.
-5, -1, 1
Suppose 18*l - 28*l = -20. Factor 6*t + l*t + 4*t**2 - 6*t**2 + 16*t - 72.
-2*(t - 6)**2
Let c(f) be the third derivative of f**7/105 - f**6/20 - 17*f**5/30 + 13*f**4/4 - 20*f**3/3 + 5*f**2 - 18. Determine b so that c(b) = 0.
-4, 1, 5
Let x = -85696/5 + 17142. Suppose 0*o - x*o**4 + 0 + 2/5*o**2 - 4/5*o**3 - 8/5*o**5 = 0. Calculate o.
-1, 0, 1/4
Let d(p) = p**4 + p**3 - p**2 + 1. Let f(w) = 2*w**4 + 80*w**3 - 726*w**2 + 4. Let o(r) = -4*d(r) + f(r). Factor o(k).
-2*k**2*(k - 19)**2
Let f(c) be the first derivative of 9/2*c**2 + 4*c**4 + 8*c**3 + c + 1. Suppose f(g) = 0. What is g?
-1, -1/4
What is m in 3*m**2 - 586*m**3 + 585*m**3 - 2*m**2 = 0?
0, 1
Suppose 4*b - 10*y + 12*y = 16, 2 = 3*b - y. Let 2/11*w**b - 4/11*w + 0 = 0. What is w?
0, 2
Let j = 154 + -150. Suppose -j*a = -6*t + t - 4, 0 = -t - 2*a + 2. Factor -4/3*z**5 + 4/3*z**3 + 0 + 0*z + 0*z**2 + t*z**4.
-4*z**3*(z - 1)*(z + 1)/3
Factor 24*q - 2*q - 11*q + 5*q**2 + 35*q + 29*q.
5*q*(q + 15)
Let t(y) be the third derivative of -y**8/280 - 9*y**7/560 - y**6/120 - 4*y**3/3 + 3*y**2. Let w(q) be the first derivative of t(q). Factor w(o).
-3*o**2*(o + 2)*(4*o + 1)/2
Let q(g) be the second derivative of -g**4/48 - 13*g**3/6 - 2*g + 55. Find t, given that q(t) = 0.
-52, 0
Let t(z) be the first derivative of -2*z**5/25 + z**4/10 + 2*z**3/15 - z**2/5 - 104. Factor t(x).
-2*x*(x - 1)**2*(x + 1)/5
Let p(g) be the second derivative of -2/5*g**5 + 0 + 0*g**3 + 0*g**4 - 25*g + 0*g**2 - 2/15*g**6 + 2/21*g**7. Factor p(x).
4*x**3*(x - 2)*(x + 1)
Let f(u) be the first derivative of -5*u**6/6 - 8*u**5 - 55*u**4/2 - 40*u**3 - 45*u**2/2 - 65. Factor f(x).
-5*x*(x + 1)**2*(x + 3)**2
Factor -2/9*f**4 - 2/3*f**2 - 2/9*f + 0 - 2/3*f**3.
-2*f*(f + 1)**3/9
Let i(t) be the first derivative of -t**4/16 - 5*t**3/12 - 47. Factor i(j).
-j**2*(j + 5)/4
Let k be 2373/(-315) + 8 - (-2)/10. Factor 0 - 2*b - k*b**3 - 10/3*b**2 + 2/3*b**4.
2*b*(b - 3)*(b + 1)**2/3
Let k = -16 - -13. Let g(n) = n**2 - 23*n + 13. Let q(m) = -4*m**2 + 68*m - 40. Let o(v) = k*q(v) - 8*g(v). Suppose o(d) = 0. What is d?
1, 4
Let q(y) be the first derivative of -y**3 - 9*y**2/2 + 12*y - 108. Find w such that q(w) = 0.
-4, 1
Let h = -46/35 - -8/5. Suppose -4*o + 4 - 3 + 7 = 0. Suppose h*k**o + 4/7 + 6/7*k = 0. Calculate k.
-2, -1
Let v be 18/(-192)*(-6)/(-135)*-6. Let b(z) be the second derivative of 6*z + 1/3*z**3 + 0*z**2 + 1/6*z**4 + 0 + v*z**5. Let b(q) = 0. Calculate q.
-2, 0
Find m, given that -100*m**4 + 31*m**3 + 11*m**5 + 65*m**3 - 3*m**5 - 4*m**5 = 0.
0, 1, 24
Let b(t) be the first derivative of t**6/240 + t**5/20 + t**4/4 + 2*t**3/3 + 6*t**2 + 4. Let d(u) be the second derivative of b(u). Let d(g) = 0. Calculate g.
-2
Let y be (-45)/(-18)*(-12)/(-15). Factor 1/7*o**3 + 2/7 + 5/7*o + 4/7*o**y.
(o + 1)**2*(o + 2)/7
Factor -2/7*m**2 - 10/7 + 12/7*m.
-2*(m - 5)*(m - 1)/7
Let w(s) be the third derivative of -s**8/47040 - 7*s**4/8 + 22*s**2. Let n(j) be the second derivative of w(j). Determine v, given that n(v) = 0.
0
Let i(j) = 4*j**4 + 37*j**3 - 37*j**2 - 95*j. Let p(z) = 9*z**4 + 93*z**3 - 93*z**2 - 237*z. Let x(r) = 12*i(r) - 5*p(r). Factor x(u).
3*u*(u - 5)*(u - 3)*(u + 1)
Suppose 7*b - 13*b + 30 = 0. Let c(q) be the third derivative of -3*q**2 + 0 + 1/30*q**3 + 1/40*q**4 + 1/600*q**6 + 1/100*q**b + 0*q. Factor c(v).
(v + 1)**3/5
Let q = 0 + 0. Suppose 3176*x = 3203*x. Factor -3/5*a**3 - 6/5*a**2 + q + x*a.
-3*a**2*(a + 2)/5
Determine c so that 12*c**4 + 10/3*c**5 - 32/3*c**3 + 8 - 20*c**2 + 22/3*c = 0.
-4, -1, -3/5, 1
Let s(p) be the third derivative of 0 - 3/13*p**3 - 1/390*p**5 + 1/26*p**4 + 0*p - 10*p**2. Let s(n) = 0. What is n?
3
Let x = -74 - -77. Let l(c) be the third derivative of -1/12*c**3 + 0 - 7/48*c**4 + x*c**2 - 1/8*c**5 - 3/80*c**6 + 0*c. Let l(s) = 0. Calculate s.
-1, -1/3
Let q(j) be the second derivative of -j**4/3 + 8*j**3 - 72*j**2 + 101*j. Let q(a) = 0. Calculate a.
6
Suppose -5*y - 5 - 6 = 2*p, 5 = p - y. Let q be 4/(-6)*15/(-2). Suppose v + q*v**p - v**2 + 3*v = 0. Calculate v.
-1, 0
Factor 5*v**3 + 125*v - 70*v**2 + 67*v - 320 + 88*v.
5*(v - 8)*(v - 4)*(v - 2)
Let y(v) be the first derivative of 1/3*v**4 - 2*v**2 + 0*v**3 - 3*v - 2. Let n(r) be the first derivative of y(r). Factor n(m).
4*(m - 1)*(m + 1)
Suppose -2*h + 91 = 21. Factor -33*y - 5*y**4 - 6*y - 1 - 90*y**2 + 139*y - 39 + h*y**3.
-5*(y - 2)**3*(y - 1)
Let m(d) be the first derivative of 3*d**5/10 - 3*d**4 + 23*d**3/2 - 21*d**2 + 18*d + 132. Factor m(y).
3*(y - 3)*(y - 2)**2*(y - 1)/2
Let n(x) = -x + 10. Let f be n(7). Suppose 8*m**4 + 18*m**3 + m + 12*m**2 - f*m + 4*m = 0. Calculate m.
-1, -1/4, 0
Suppose -4*w - 3 = -27. Suppose -2*q + 8 = u, -2 + w = 2*u + q. Determine k so that 4/7*k**3 + 0*k**2 + 4/7*k**5 + 8/7*k**4 + u*k + 0 = 0.
-1, 0
Let t(c) be the first derivative of 8 + 0*c + 5/2*c**2 - 5/2*c**4 + 5/6*c**3 - 3/2*c**5. Let t(d) = 0. What is d?
-1, 0, 2/3
Determine k, given that 80/3*k + 0 + 0*k**4 + 68/3*k**3 - 48*k**2 - 4/3*k**5 = 0.
-5, 0, 1, 2
Let n(i) be the first derivative of -2*i**6/21 + 4*i**5/35 + 17*i**4/7 - 212*i**3/21 + 16*i**2 - 80*i/7 + 162. Solve n(g) = 0.
-5, 1, 2
Suppose r + 4 = 7. What is f in 235*f**2 - 280*f**3 + 12 - 3 + 625*f**r + 75*f + 64*f**5 + 240*f**4 = 0?
-1, -3/8
Let n(j) = -2*j**2 - 84*j - 594. Let y be n(-33). Solve -1/4*z - 1/4*z**2 + y = 0 for z.
-1, 0
Let p(t) be the second derivative of -21*t + 0 + 9*t**2 - 17/4*t**4 + 9/10*t**5 - 5/2*t**3. Factor p(u).
3*(u - 3)*(2*u - 1)*(3*u + 2)
Factor -3*p**2 - 25*p + 61 + 4*p - 97.
-3*(p + 3)*(p + 4)
Suppose 2/9*k**4 + 0 - 8/9*k**2 + 2/3*k**3 + 0*k = 0. Calculate k.
-4, 0, 1
Let c(d) be the first derivative of d**5/10 - 2*d**4/3 + 4*d**3/3 - 24*d + 10. Let q(g) be the first derivative of c(g). Solve q(z) = 0.
0, 2
Let o(p) = p**3 - 5*p**2 + 18*p - 53. Let a be o(4). Solve 2/3*x**4 + 2/3*x**a - 2/3*x + 4/3 - 2*x**2 = 0 for x.
-2, -1, 1
Let r(y) = 35 + 15*y - 4*y - 4*y + 8*y. Let m be r(-2). Solve 0 - 6/11*w**2 - 2/11*w**3 + 6/11*w**4 + 4/11*w - 2/11*w**m = 0 for w.
-1, 0, 1, 2
Let z = 244 + -487/2. What is c in 3/2*c - z*c**2 + 1 - 1/2*c**4 - 3/2*c**3 = 0?
-2, -1, 1
Let j be (0 - 6/9)/(6/(-45)). Suppose 270 = 5*l - j*p, 3*l + p = -27 + 173. Factor -l - 6*y**2 + 2/5*y**3 + 30*y.
2*(y - 5)**3/5
Let z = 2633/12 + -656/3. Suppose 27*f**2 + 0 + 0*f + z*f**4 - 9*f**3 = 0. What is f?
0, 6
Let v(b) be the second derivative of 2*b**6/105 + b**5/28 - b**4/12 - b**3/21 - 61*b. Solve v(h) = 0.
-2, -1/4, 0, 1
Let t = 1219/1636 + 2/409. Suppose -2*b + 14 = 2*r, -4*r + 2*b - 1 = 1. Solve 1/2*l + 0 - 7/4*l**r + t*l**3 = 0.
0, 1/3, 2
Let d(b) be the second derivative of -b**6/300 - 14*b**2 - 35*b. Let j(t) be the first derivative of d(t). Factor j(f).
-2*f**3/5
Solve -2/19*n + 0 + 0*n**2 + 2/19*n**3 = 0.
-1, 0, 1
Factor 2*m**2 - 3*m**2 - 127 - 2*m**2 + 382 - 252*m.
-3*(m - 1)*(m + 85)
Let k(u) be the second derivative of u**8/1344 - u**6/144 - 23*u**4/12 - 20*u. Let m(a) be the third derivative of k(a). Factor m(i).
5*i*(i - 1)*(i + 1)
Let y(g) be the second derivative of 0*g**2 - 1/180*g**5 + 1/18*g**3 - 30*g - 1/54*g**4 + 0. Determine r so that y(r) = 0.
-3, 0, 1
Let s(u) be the third derivative of -2/35*u**7 + 0*u + u**3 - 5/8*u**4 + 1/112*u**8 + 1/10*u**5 + 1/10*u**6 + 0 + 18*u**2. Solve s(i) = 0 for i.
-1, 1, 2
Suppose 0 = 2*g - 3*n, -92 = -4*n - 84. Let i(h) be the first derivative of -1/2*h**3 + 3/4*h**2 - 3/8*h**4 - g + 3/2*h. Factor i(d).
-3*(d - 1)*(d + 1)**2/2
Suppose 26*p - 22 = 21*p + 2*x, 3*p + 4