 - p**6/6 + 3*p**5/4 + 25*p**4/12 + 5*p**3/3 + p - 12. Solve y(o) = 0.
-1, 0, 2
Factor 39*d + 7 + 2*d**3 - 6 - 6*d**2 + 11 - 47*d**3.
-3*(d - 1)*(3*d + 1)*(5*d + 4)
Let w(k) be the third derivative of -k**6/90 + k**5/15 - k**4/6 - 2*k**3/3 + 11*k**2. Let g(p) be the first derivative of w(p). What is u in g(u) = 0?
1
Let y(f) be the first derivative of f**6/72 - f**5/60 - 14*f**3/3 - 18. Let c(k) be the third derivative of y(k). Solve c(g) = 0 for g.
0, 2/5
Let q(j) be the second derivative of j**6/30 - 3*j**5/10 + 5*j**4/12 + 4*j**3 - 18*j**2 - 189*j. Solve q(d) = 0.
-2, 2, 3
Let h = 28/61 - 18/305. Find t, given that 2/5*t - h*t**3 - 1/5 + 0*t**2 + 1/5*t**4 = 0.
-1, 1
Suppose -488*b + 527*b - 78 = 0. Determine s, given that 3/4*s + 0 + 3/2*s**b + 3/4*s**3 = 0.
-1, 0
Let z(y) = y + 9. Let i be z(6). Factor 3*c**2 + i - 4*c - 21 - c**2.
2*(c - 3)*(c + 1)
Let i(o) be the first derivative of -14 - 1296*o - 9*o**3 + 162*o**2 + 3/16*o**4. Factor i(p).
3*(p - 12)**3/4
Suppose 0 = -o + 27*o - 52. Let k(b) be the first derivative of 10 - 2*b - 2/3*b**3 - 2*b**o. Factor k(c).
-2*(c + 1)**2
Let h = -2251/28 + 325/4. Let c = -1032 - -1036. Factor -2/7*q**c - h*q**3 + 0 - 2/7*q - 6/7*q**2.
-2*q*(q + 1)**3/7
Let d(k) = k**3 + 4*k**2 + 3*k + 2. Let w be d(-3). Determine u, given that -w*u**2 + 5*u + 4*u - 3*u**2 - 4*u = 0.
0, 1
Let g(z) be the second derivative of z**6/3 - 13*z**5/10 + 3*z**4/2 + z**3/3 - 2*z**2 - z + 133. Factor g(c).
2*(c - 1)**3*(5*c + 2)
Let r(h) be the second derivative of 1/27*h**4 + 6*h + 0*h**2 - 1/180*h**5 - 1/18*h**3 + 0. Solve r(s) = 0.
0, 1, 3
Let d = -481 + 481. Let s(z) be the second derivative of 1/2*z**3 - 1/14*z**7 + z - 1/5*z**6 + 0 + d*z**2 + 0*z**5 + 1/2*z**4. Determine k so that s(k) = 0.
-1, 0, 1
Let l = -7700 + 7703. Find m such that -5/3*m**4 - 4/3*m**2 + 0*m + 0 - 1/3*m**5 - 8/3*m**l = 0.
-2, -1, 0
Let k = -3025/27 - -337/3. Let f(c) be the first derivative of -7 - 4/45*c**5 + 1/9*c**2 - k*c**3 + 5/18*c**4 + 0*c. Determine y so that f(y) = 0.
0, 1/2, 1
Let n(f) be the first derivative of f**5/15 + f**4/4 - 2*f**3/3 - 4*f**2/3 - 55. Let n(i) = 0. Calculate i.
-4, -1, 0, 2
Suppose 4*g = -3*w + 4*w, -3*w + 13 = g. Factor 2 - 3*n**2 + 2 + w - 5.
-3*(n - 1)*(n + 1)
Let x = 47/615 + 89/123. Determine k so that 4/5*k**2 + 8/5*k - 12/5*k**3 + x*k**5 + 0 - 4/5*k**4 = 0.
-1, 0, 1, 2
Let b(c) be the second derivative of c**5/50 + 11*c**4/30 - 5*c**3/3 + 13*c**2/5 - 100*c - 2. Find h such that b(h) = 0.
-13, 1
Suppose 4*m + 8*c = 23 + 29, c - 11 = -2*m. Suppose 0 + 4/5*o**2 - 1/5*o + o**m = 0. What is o?
-1, 0, 1/5
Let j(o) be the first derivative of 4/5*o**3 + 1/5*o**4 + 14 + 0*o**2 - 16/5*o. Suppose j(w) = 0. Calculate w.
-2, 1
Let m be ((-2)/(-5))/1 - 2484/5985. Let c = 808/665 + m. Let 2/5*i**2 - c + 4/5*i = 0. What is i?
-3, 1
Find f, given that -3*f**4 - 29/3*f + 2 + f**2 + 29/3*f**3 = 0.
-1, 2/9, 1, 3
Let c(g) be the second derivative of 8*g**6/25 + 37*g**5/25 + 2*g**4/15 - 2*g**3/5 + 136*g. Solve c(v) = 0.
-3, -1/3, 0, 1/4
Let d(p) be the second derivative of p**5/90 - 205*p**4/54 + 10403*p**3/27 + 10609*p**2/9 - 4*p + 35. Let d(f) = 0. Calculate f.
-1, 103
Factor 2/5*s - 1/5 - 1/5*s**2.
-(s - 1)**2/5
Suppose -4*x = 4*l + 3 - 7, -11 = -x + l. Let f = 147 + -142. Determine w, given that w**2 - w**2 - 8 - 3*w**3 + f*w**3 + x*w**2 = 0.
-2, 1
Let z(s) be the first derivative of -6*s**5/35 - 3*s**4/7 + 10*s**3/7 + 18*s**2/7 - 68. Factor z(l).
-6*l*(l - 2)*(l + 1)*(l + 3)/7
Let m(r) be the first derivative of 2*r**5/25 - r**4/5 - 8*r**3/15 + 2*r**2/5 + 6*r/5 - 281. Factor m(c).
2*(c - 3)*(c - 1)*(c + 1)**2/5
Suppose -4 = 113*i - 115*i. Let q(r) be the second derivative of 1/2*r**i + 1/3*r**3 + 1/12*r**4 + 7*r + 0. Factor q(w).
(w + 1)**2
Factor -21*d - 27*d**3 + 6 + 6*d**3 + 4*d**2 + 23*d**2 + 6*d**3 + 3*d**4.
3*(d - 2)*(d - 1)**3
Let q(j) = 6*j**4 + 3*j**3 - 25*j**2 + 3*j + 13. Suppose -4*b - 54 = -26. Let n(h) = -2*h**4 - h**3 + 8*h**2 - h - 4. Let m(v) = b*n(v) - 2*q(v). Factor m(o).
(o - 1)**2*(o + 2)*(2*o + 1)
Let i(n) be the first derivative of 5*n**4/4 + 16*n**3/3 + 6*n**2 + 615. Factor i(t).
t*(t + 2)*(5*t + 6)
Let l(p) be the first derivative of -p**6/24 + p**5/4 + 5*p**4/24 - 5*p**3/2 + 6*p**2 - 33. Let j(f) be the second derivative of l(f). Factor j(x).
-5*(x - 3)*(x - 1)*(x + 1)
Factor -2*w + 101 - 67 - 2*w**2 - 30.
-2*(w - 1)*(w + 2)
Let f(n) = 4*n**4 + 8*n**3 - 16*n**2 + 10*n - 6. Let q(j) = 3*j**4 + 6*j**3 - 13*j**2 + 9*j - 5. Let g(t) = -5*f(t) + 6*q(t). Factor g(c).
-2*c*(c - 1)*(c + 1)*(c + 2)
Let s = -282 + 286. Let n(r) be the second derivative of 0 - 1/75*r**6 + 1/50*r**5 - 1/15*r**3 + s*r - 2/5*r**2 + 1/10*r**4. Find t, given that n(t) = 0.
-1, 1, 2
Factor 5/4*b**4 - 135/4*b + 15/4*b**3 + 0 - 45/4*b**2.
5*b*(b - 3)*(b + 3)**2/4
Let r(b) = b**2 + 2*b + 2. Let j be r(-2). Factor -13*p**3 - 2*p - j*p**2 - 12*p**3 + 27*p**3 + 2.
2*(p - 1)**2*(p + 1)
Let g(i) be the first derivative of -i**5/240 - 13*i**4/96 - i**3/2 - 33*i**2/2 + 6. Let h(f) be the second derivative of g(f). Let h(z) = 0. Calculate z.
-12, -1
Let k(n) be the first derivative of -n**6/8 + 171*n**5/20 - 2169*n**4/16 - 2521*n**3/4 - 990*n**2 - 675*n + 787. Determine p, given that k(p) = 0.
-1, 30
Let a(j) be the second derivative of j**5/10 - 167*j**4/30 + 22*j**3/5 - 148*j. What is k in a(k) = 0?
0, 2/5, 33
Solve -8 - 60*k - 225/2*k**2 = 0.
-4/15
Let o(z) = z + 3. Let u be o(-2). Let d(j) be the third derivative of j**3/3 + 3*j**2. Let q(n) = -n**2 + 1. Let i(w) = u*d(w) - 2*q(w). Factor i(t).
2*t**2
Let g(y) be the second derivative of -35*y**7/6 + 56*y**6/3 + 5*y**5 - 275*y**4/6 + 145*y**3/6 - 5*y**2 - 8*y + 6. Suppose g(d) = 0. Calculate d.
-1, 1/7, 1, 2
Let d(h) be the third derivative of -h**6/120 + h**3/3 - 5*h**2. Let v be d(0). Suppose 3*a**3 - 3*a**v + 81*a - 81*a = 0. What is a?
0, 1
Let u be (-18)/102 - (-19061)/4165. Factor 0 + 12/5*i + u*i**2 + 6/5*i**3.
2*i*(i + 3)*(3*i + 2)/5
Let y(b) be the third derivative of -b**7/70 - b**6/10 + b**5/20 + b**4/2 + 77*b**2. Factor y(f).
-3*f*(f - 1)*(f + 1)*(f + 4)
Let a(g) = 3*g**4 + 30*g**3 - 6*g**2 + 6*g + 6. Let h(d) = 5*d**4 + 56*d**3 - 11*d**2 + 11*d + 11. Let c(x) = 11*a(x) - 6*h(x). Suppose c(k) = 0. Calculate k.
0, 2
Let f(a) be the first derivative of 3*a**4/4 - 16*a**3 + 135*a**2/2 + 486*a + 97. Find s, given that f(s) = 0.
-2, 9
Let n(a) be the third derivative of a**7/35 + 4*a**6/15 + 13*a**5/15 + 4*a**4/3 + a**3 - 26*a**2. Let n(o) = 0. Calculate o.
-3, -1, -1/3
Solve 6*k + 8/9*k**4 + 76/9*k**3 + 0 + 40/3*k**2 - 2/9*k**5 = 0 for k.
-3, -1, 0, 9
Let n(v) be the second derivative of v**4/48 + 5*v**3/6 + 197*v. Suppose n(y) = 0. What is y?
-20, 0
Factor -c**2 - 150 - 6*c - 27*c + 68*c + 59*c - 2059.
-(c - 47)**2
Let d = -2077 - -2088. Let m(h) be the first derivative of 5/2*h**2 - d - 5/4*h**4 - 10/3*h**3 + 10*h. Factor m(g).
-5*(g - 1)*(g + 1)*(g + 2)
Let n = -40/21 + 2. Let h(b) be the first derivative of 10 - n*b**3 - 4/7*b - 3/7*b**2. Find x such that h(x) = 0.
-2, -1
Let x be 3 - 1/((-96)/33 - -3). Let n be (-8 - x)/((-2)/(-2)). Factor 0 - 2/7*z + n*z**2 + 2/7*z**3.
2*z*(z - 1)*(z + 1)/7
Let q(r) be the third derivative of 0 - 1/210*r**5 + 0*r - 25/21*r**3 - 19*r**2 + 5/42*r**4. Determine y so that q(y) = 0.
5
Let u(x) be the third derivative of -40*x**2 - 1/40*x**6 + 0*x**4 + 0*x**3 + 1/10*x**5 + 0 + 0*x. Factor u(g).
-3*g**2*(g - 2)
Solve -172 + 4*o**3 + 140*o - 117 - 334*o**2 + 386*o**2 + 93 = 0 for o.
-7, 1
Determine w so that 1/2*w**3 + 17/2*w**2 + 0 + 15*w = 0.
-15, -2, 0
What is p in 0 + 0*p - 8/3*p**2 + 2/9*p**4 - 22/9*p**3 = 0?
-1, 0, 12
Suppose 5*u - 100 = -5*u. Suppose 29*l - u = 27*l. What is s in 0*s**2 - 2/5*s**3 + 0*s**4 + 0*s + 2/5*s**l + 0 = 0?
-1, 0, 1
Let i = 26 - 24. Let o = 0 + i. Factor -1/5 + 4/5*q**o + 3/5*q.
(q + 1)*(4*q - 1)/5
Solve 0 + 4/3*x**3 - 4/3*x**4 - 4/3*x + 4/3*x**2 = 0.
-1, 0, 1
Let m(y) = 3*y**3 - y**2 - 2*y. Let q(k) = -k**3 + k. Suppose -10*z + 5*z + 10 = 0. Let a(j) = z*m(j) + 5*q(j). Solve a(l) = 0 for l.
0, 1
Let j(c) = -c**3 - 5*c**2 + c + 8. Let b be j(-5). Let s(h) be the first derivative of -1/13*h**2 - 3 + 2/39*h**b - 4/13*h. Determine z so that s(z) = 0.
-1, 2
Suppose 0 = -0*j + 2*j - 10. Let k(o) be the first derivative of 0