s**3 + 0 + 2/9*s**4.
2*s**2*(s + 1)*(s + 24)/9
Let y(i) be the second derivative of 2/11*i**2 + 0 + 7/110*i**5 - 1/3*i**3 + 1/6*i**4 + 4/231*i**7 - 23*i - 13/165*i**6. Suppose y(n) = 0. What is n?
-1, 1/4, 1, 2
Let u(x) be the first derivative of 0*x**2 + 1/24*x**6 - 1/16*x**4 + 0*x - 5 + 0*x**5 + 0*x**3. Factor u(d).
d**3*(d - 1)*(d + 1)/4
Let d(x) be the first derivative of -3*x**5/10 + 9*x**4/8 + 2*x**3 + 41. Factor d(n).
-3*n**2*(n - 4)*(n + 1)/2
Let z(x) be the second derivative of -x**5/20 - x**4/6 - x**3/6 + 8*x. Let b be z(-2). Suppose -8*j**2 + 198*j - b - 191*j - 2*j**3 + 5*j**3 = 0. Calculate j.
2/3, 1
Determine y, given that 16988 - 16708 + 272*y + 0*y**3 + 2*y**3 - 4*y**3 + 62*y**2 = 0.
-2, 35
Solve -6*s**2 - 13*s**2 - 2*s - 31*s + 3*s**2 - 8 - 3*s = 0.
-2, -1/4
Let t(n) = -2*n**2 + 2*n + 3. Let g = -29 - -26. Let w(q) = -2*q**2 + 2*q + 4. Let r(o) = g*w(o) + 4*t(o). Factor r(j).
-2*j*(j - 1)
Let t(g) be the second derivative of g**6/15 + 4*g**5 + 200*g**4/3 - 3*g + 44. Factor t(j).
2*j**2*(j + 20)**2
Let z(l) be the first derivative of l**6/60 - l**5/40 - l**4/8 - 7*l**3/3 - 13. Let o(k) be the third derivative of z(k). Factor o(m).
3*(m - 1)*(2*m + 1)
Suppose u = 0, 58 = j - 0*j + 3*u. Determine r, given that 8*r - 50*r**2 - r**3 + 2*r**3 + j*r**2 + r**3 = 0.
-2, 0
Let n be ((-12)/28 + 0)/(6/(-2540)). Let q = -181 + n. Solve 0*v**3 + q*v**4 + 0 - 3/7*v**2 + 0*v = 0.
-1, 0, 1
Let s(o) = o. Let v(q) = 3*q**2 + 31*q. Suppose -16*f + 72 = 2*f. Let j(c) = f*s(c) - v(c). Factor j(h).
-3*h*(h + 9)
Let h be 3/(-6)*0/(-59). Determine v so that h + 0*v + 1/4*v**2 = 0.
0
Let o(b) be the third derivative of 1/80*b**6 + 0*b - 1/16*b**4 + 4*b**2 + 0 + 0*b**3 + 0*b**5. Factor o(i).
3*i*(i - 1)*(i + 1)/2
Let n(y) = -1. Let w(g) = g**2 + 34*g + 294. Let a(b) = -10*n(b) - 2*w(b). Let a(v) = 0. What is v?
-17
Let j(b) = b**2 + 4. Let h be j(5). Suppose -6 = -h*l + 27*l. Determine n so that 0 - l*n**3 - 6/7*n - 27/7*n**2 = 0.
-1, -2/7, 0
Let i(a) be the first derivative of -5*a**3/3 - 65*a**2 - 525*a + 412. What is x in i(x) = 0?
-21, -5
Suppose 2*m - 45 = 5*x - 3*m, 8 = 4*m. Let z be (x + 2)*(-6)/10. Determine v, given that v + 2*v**z + 2*v - 4*v**3 - v = 0.
-1, 0, 1
Let m(w) be the first derivative of 3*w**5/40 - 11*w**4/24 + w**3 - w**2 + 16*w + 6. Let j(s) be the first derivative of m(s). Factor j(g).
(g - 2)*(g - 1)*(3*g - 2)/2
Let c be 0/(6/(-9) - (160/(-15) - -11)). Find i such that c - 1/6*i - 1/6*i**3 + 1/3*i**2 = 0.
0, 1
Suppose 2*f = -4*v + 10, -3*v - 3*f + 6*f = -3. Solve 21*n**2 + 9 + 32*n - 1 + v*n**5 + 38*n**3 + 29*n**2 + 14*n**4 = 0 for n.
-2, -1
Suppose 25*t = 18*t + 833. Let o = 122 - t. Factor m**2 - 9/2 + 2*m**o - 1/2*m**4 - 6*m.
-(m - 3)**2*(m + 1)**2/2
Factor -1/3*q**2 - 6 - 3*q.
-(q + 3)*(q + 6)/3
Let v be -927 + 940 + -1 + -10. Solve -8/7*x - 2/7*x**v - 6/7 = 0.
-3, -1
Let j(x) be the third derivative of x**7/630 - 37*x**6/180 + 1441*x**5/180 - 37*x**4 + 72*x**3 + 183*x**2. Factor j(y).
(y - 36)**2*(y - 1)**2/3
Solve -15*s - s**2 - 37 + 6*s**2 + 17 = 0.
-1, 4
Suppose 2*n - 4*n + 22 = 0. Let g = n - 9. Factor -7*w**2 + 2*w**g + 8*w**2 + 3*w.
3*w*(w + 1)
Let z(r) be the first derivative of 3 - 5/2*r**2 + 0*r - 1/15*r**5 + 1/2*r**4 + 0*r**3. Let m(x) be the second derivative of z(x). Factor m(w).
-4*w*(w - 3)
Suppose -289/2 - 17*s - 1/2*s**2 = 0. What is s?
-17
Let n be ((-39)/(-143))/(8/22). Factor -3*d + 0 - n*d**2.
-3*d*(d + 4)/4
Let k(p) be the third derivative of 0 + 1/35*p**7 - 1/168*p**8 - 1/3*p**3 - 1/15*p**5 + 0*p + 2*p**2 + 1/4*p**4 - 1/30*p**6. Determine u so that k(u) = 0.
-1, 1
Let t(x) = 10*x**2 - 4*x. Let n be t(-2). Determine q, given that q**2 - q**2 - 192 + 7*q**2 + n*q - 10*q**2 = 0.
8
Find g, given that 7/2*g - 11/3 + 1/6*g**2 = 0.
-22, 1
Let k(g) be the third derivative of 0*g - 1/20*g**5 - 8*g**2 + 1/24*g**4 + 0*g**3 + 0. Let k(q) = 0. What is q?
0, 1/3
Suppose -g + 3*g - 19 = -3*w, 3*g - 4*w + 14 = 0. Suppose -g*y + 5*y = 9. Factor -y*u**3 - 5*u**3 - 3*u**2 - 8*u + 15*u**2 + 4*u**3.
-4*u*(u - 2)*(u - 1)
Let t(p) be the second derivative of -p**2 + 0 + 1/10*p**5 + 1/15*p**6 - 1/42*p**7 - 2/3*p**4 + 7/6*p**3 + 8*p. Factor t(r).
-(r - 1)**4*(r + 2)
Let z(t) = -5*t**4 + 38*t**3 - 160*t**2 - 200*t - 3. Let b(u) = -u**4 - 1. Let v(o) = -6*b(o) + 2*z(o). Determine y so that v(y) = 0.
-1, 0, 10
Let l = 26 - 20. Let a be ((-6)/(-3))/(((-8)/l)/(-2)). Solve 10/7*c + 2/7*c**a + 4/7 + 8/7*c**2 = 0.
-2, -1
Let l(w) = -5*w**4 - 10*w**3 + 28*w**2 + 86*w + 43. Let n(s) = -26*s**4 - 49*s**3 + 139*s**2 + 431*s + 214. Let i(f) = 11*l(f) - 2*n(f). Factor i(j).
-3*(j - 3)*(j + 1)**2*(j + 5)
Let z be -7*6/14 + 0 + 1*5. Determine y so that 0 + 0*y**3 + 1/3*y**5 + 0*y + 1/3*y**4 + 0*y**z = 0.
-1, 0
Let c = 2814 + -19696/7. Factor 0 - 4/7*i**2 + 2/7*i**3 + c*i**4 + 0*i.
2*i**2*(i - 1)*(i + 2)/7
Suppose -17*a - 15 = -22*a. Solve a*q**3 + 0*q - 20*q**2 + 28*q + q**3 - 12 = 0 for q.
1, 3
Suppose 2*v**5 + 4*v**4 - 51*v**3 + 110*v**3 - 63*v**3 - 6*v**4 = 0. Calculate v.
-1, 0, 2
Let m(k) be the first derivative of k**3 - 3*k**2/2 - 6*k + 70. Factor m(l).
3*(l - 2)*(l + 1)
Let r(g) = -5*g**4 + 24*g**3 - 69*g**2 + 82*g - 36. Let y(q) = 51*q**4 - 240*q**3 + 690*q**2 - 819*q + 360. Let x(c) = -21*r(c) - 2*y(c). What is w in x(w) = 0?
1, 2, 3
Determine x, given that 14*x + 4*x**2 - 49*x + 15*x = 0.
0, 5
Let n(r) be the first derivative of 4*r**5/35 + 5*r**4/7 - 8*r**3/7 + 246. Find w, given that n(w) = 0.
-6, 0, 1
Determine a, given that -20*a**4 - 7*a**3 - 120 - 13*a**3 - 121 - 5*a**5 + 241 = 0.
-2, 0
Let o(b) = -17*b**4 + 27*b**3 - 17*b**2 - 7*b - 7. Let d(m) = 8*m**4 - 13*m**3 + 8*m**2 + 3*m + 3. Let h(w) = 7*d(w) + 3*o(w). Factor h(g).
5*g**2*(g - 1)**2
Let t(c) be the third derivative of 7*c**5/90 + 143*c**4/12 + 122*c**3/9 + 831*c**2. Solve t(f) = 0.
-61, -2/7
Let 9*x**3 - 3*x**3 - 3*x**3 + 2*x**3 - 77*x - 3*x = 0. Calculate x.
-4, 0, 4
Let 0 + 31/3*p - 1/3*p**5 - 32/3*p**2 + 32/3*p**4 - 10*p**3 = 0. What is p?
-1, 0, 1, 31
Let d(s) be the second derivative of -s**6/60 - s**5/45 + 7*s**4/36 - 2*s**3/9 + 6*s**2 - 13*s. Let q(w) be the first derivative of d(w). Factor q(u).
-2*(u - 1)*(u + 2)*(3*u - 1)/3
Find h such that 13*h - 266*h**2 - 20*h**3 - 7 + 261*h**2 + 19*h**3 = 0.
-7, 1
Factor 2533/2*y + 152*y**2 - 289 + 9/2*y**3.
(y + 17)**2*(9*y - 2)/2
Factor -77*g**2 + 35*g + 4*g**4 + 37*g + 0*g**4 + 33*g**2 - 32.
4*(g - 2)*(g - 1)**2*(g + 4)
Suppose 22/19*o**2 + 8/19*o**3 + 10/19*o - 4/19 = 0. What is o?
-2, -1, 1/4
Let m(z) be the third derivative of z**8/1680 + z**7/840 - z**6/360 - z**5/120 + 3*z**3/2 + 6*z**2. Let c(o) be the first derivative of m(o). Factor c(g).
g*(g - 1)*(g + 1)**2
Let g(z) = -z**2 - 10*z - 17. Let v be g(-7). Factor -8*j - 2*j**2 - 4*j**3 - 13*j**4 + 6*j**2 - j**5 + v*j**5 + 18*j**3.
j*(j - 2)**2*(j - 1)*(3*j + 2)
Let k(a) be the third derivative of a**6/200 + a**5/5 + 37*a**4/40 + 9*a**3/5 - 3*a**2 - 4*a. Factor k(p).
3*(p + 1)**2*(p + 18)/5
Factor 0*r**2 + 3/2*r + 0*r**4 + 0 + 3/2*r**5 - 3*r**3.
3*r*(r - 1)**2*(r + 1)**2/2
Let z be (6 + -3)*38/171. Suppose 8*n**2 + 4*n**3 + 16/3*n + 0 + z*n**4 = 0. What is n?
-2, 0
Let m be (-434)/(-12) + (-2)/12. Factor 3 + 28 - 4*v**2 + 12*v - 3 - m*v.
-4*(v - 1)*(v + 7)
Let d(f) be the first derivative of f**4 - 40*f**3/3 - 74*f**2 - 104*f + 107. Factor d(w).
4*(w - 13)*(w + 1)*(w + 2)
Let f = -21/29 - -347/319. Find s such that -2/11*s**4 + 0*s**2 + 0*s - f*s**3 + 0 = 0.
-2, 0
Factor 0 - 12*s**3 - 2/3*s**5 - 32/3*s**2 - 10/3*s - 16/3*s**4.
-2*s*(s + 1)**3*(s + 5)/3
Let r(s) be the second derivative of -s**8/112 + 3*s**7/70 - s**5/5 + 6*s**2 - 7*s. Let u(y) be the first derivative of r(y). Solve u(o) = 0.
-1, 0, 2
Let p(s) be the second derivative of -5/4*s**4 + 0*s**2 + 0*s**3 + 17*s - 1/4*s**5 + 0. Factor p(u).
-5*u**2*(u + 3)
Let s(k) = -3*k**4 + 52*k**3 - 336*k**2 + 488*k - 216. Let m(y) = -2*y**4 + 25*y**3 - 167*y**2 + 243*y - 108. Let i(w) = -5*m(w) + 3*s(w). Factor i(q).
(q - 3)*(q - 1)**2*(q + 36)
Let d = 1789 + -3577/2. Suppose 1 - 1/2*n**2 + d*n = 0. What is n?
-1, 2
Let r = 6 + -6. Let l be (2 - (3 + r)) + 1. Let -4*j + l*j - 2*j**3 - 4*j**2 + 2*j = 0. Calculate j.
-1, 0
Let z(i) be the second derivative of -i**4/3 - 4*i**3/3 + 16*i**2 + 20*i + 5. Factor z(q)