.
3*i**3*(i - 5)*(i - 1)
Solve 16/3*s - 12*s**2 + 0 - 2/3*s**5 + 0*s**4 + 22/3*s**3 = 0 for s.
-4, 0, 1, 2
Let b(d) be the first derivative of 2*d - 2*d**2 + d**4 + 0*d**3 - 2/5*d**5 + 23. Find r such that b(r) = 0.
-1, 1
Suppose 3 = -17*r + 20. Let k(j) be the first derivative of 2*j + 1/3*j**3 + 3/2*j**2 + r. Factor k(z).
(z + 1)*(z + 2)
Let b(p) be the second derivative of -p**7/105 - 4*p**6/25 - 23*p**5/25 - 2*p**4 - 5*p**3/3 - 9*p + 17. Solve b(o) = 0.
-5, -1, 0
Let b(v) be the first derivative of -v**5/15 + 2*v**4 - 24*v**3 + 13*v**2 + 26. Let f(g) be the second derivative of b(g). Factor f(t).
-4*(t - 6)**2
Let y be ((-55)/66)/(-1)*(-12)/(-8). Find q, given that -y*q**4 + 5/4*q - 5/4*q**3 - 5/2 + 15/4*q**2 = 0.
-2, -1, 1
Suppose 21*t + 34217 - 34259 = 0. Suppose 1/2*s**3 - 3/2*s**t + 3/2 - 1/2*s = 0. Calculate s.
-1, 1, 3
Let -4/3*w**2 - 2/9*w**3 - 22/9*w - 4/3 = 0. What is w?
-3, -2, -1
Let t = 42 + -40. Let -5*k**2 - k**2 + 0*k**t + k**2 - 10 - 15*k = 0. What is k?
-2, -1
Let r(b) be the third derivative of 0 - 1/15*b**5 + 1/2*b**4 - 4/3*b**3 - 15*b**2 + 0*b. Determine f so that r(f) = 0.
1, 2
Suppose 0 + s - 1/2*s**3 + 1/2*s**2 = 0. Calculate s.
-1, 0, 2
Let u be (-12)/(-12)*(-60)/(-1). Suppose 25*r = 5*r + u. Find d, given that 4/7*d**r + 4/7*d**2 + 0 - 8/7*d = 0.
-2, 0, 1
Suppose -21*n = 3418 - 3460. Factor 1/2*t - 3/4 + 1/4*t**n.
(t - 1)*(t + 3)/4
Suppose -1768 = -3*m - 14*m. Suppose 28 = 111*v - m*v. Solve -2/9*i**2 + 0 + 0*i + 2/9*i**5 - 2/9*i**3 + 2/9*i**v = 0 for i.
-1, 0, 1
Let q = -241/4 + 2667/44. Let s = -2/11 + q. Suppose 2/11*i**4 - 2/11*i**3 - s*i**2 + 2/11*i + 0 = 0. Calculate i.
-1, 0, 1
Suppose 2*c + 32/15*c**2 - 12/5 - 2/15*c**5 - 4/5*c**4 - 4/5*c**3 = 0. What is c?
-3, -2, 1
Let p(s) = -12*s**4 + 844*s**3 - 15551*s**2 + 14910*s - 3667. Let z(j) = 4*j**4 - 281*j**3 + 5184*j**2 - 4970*j + 1222. Let y(q) = 3*p(q) + 8*z(q). Factor y(c).
-(c - 35)**2*(2*c - 1)**2
Suppose 9*a = 4*a + 10. Let d be (a/(-4))/(3/(-24)). Factor 0 - 1 + 1 - 12*j + d*j**2.
4*j*(j - 3)
Let t(d) be the second derivative of d**6/540 - d**5/180 - d**4/6 - 7*d**3/2 + d. Let x(j) be the second derivative of t(j). Factor x(u).
2*(u - 3)*(u + 2)/3
Factor -29*n + 161*n + 16*n**2 + 32*n - 29 + 8*n - 15.
4*(n + 11)*(4*n - 1)
Solve -8*x**5 + 4*x**5 - 76*x**3 + 74*x**4 + 88*x**2 - 10*x**5 - 12*x - 56*x**3 - 4*x = 0.
0, 2/7, 1, 2
Let v(i) = -6*i**2 + 248*i + 1600. Let d(f) = -f**2 + 50*f + 320. Let g(h) = -14*d(h) + 3*v(h). Suppose g(k) = 0. What is k?
-5, 16
Let b(h) = -h**3 + 26*h**2 + 27*h - 52. Let a(q) = 15*q**3 - 339*q**2 - 351*q + 675. Let m(p) = -2*a(p) - 27*b(p). Let m(d) = 0. What is d?
-6, -3, 1
Let z(a) be the first derivative of -3*a**7/280 - 7*a**6/60 - a**5/2 - a**4 + a**3 + 14. Let s(r) be the third derivative of z(r). Factor s(x).
-3*(x + 2)**2*(3*x + 2)
Factor 7605/2 + 5/2*u**2 + 195*u.
5*(u + 39)**2/2
Solve -6/7*h**2 - 2/7*h**5 + 2/7*h**3 + 6/7*h**4 + 0*h + 0 = 0.
-1, 0, 1, 3
Let y(i) be the first derivative of i**8/336 - 23*i**3/3 + 2. Let s(p) be the third derivative of y(p). Find r, given that s(r) = 0.
0
Let b(s) be the third derivative of -1/180*s**5 + 1/12*s**4 - 5/18*s**3 + 0*s + 43*s**2 + 0. Let b(c) = 0. Calculate c.
1, 5
Let a(g) be the third derivative of g**6/40 + g**5/2 + 17*g**4/8 + 4*g**3 - 32*g**2. Factor a(f).
3*(f + 1)**2*(f + 8)
Suppose -4*r = 5*t - 49, -18 + 15 = -3*r. Suppose -c = 2*n - 4*c - t, n = -3*c - 9. What is h in -162/5*h**3 + n - 8/5*h - 72/5*h**2 = 0?
-2/9, 0
Let m = -288 - -291. Let t(v) be the first derivative of 0*v - m + 1/9*v**3 - 1/6*v**2. Solve t(y) = 0.
0, 1
Find n such that 16/3 - 1/3*n**3 + 5/3*n**2 + 22/3*n = 0.
-2, -1, 8
Suppose 0 = 5*w - 3*a - 26, w + a = -w + 6. Factor 8*y**w - 8*y**2 + 61 - 4*y**5 - 33 + 4*y - 28.
-4*y*(y - 1)**3*(y + 1)
Let v(i) = 6*i - 4. Let u be v(1). Factor -4*y**4 - 32*y**2 + 2*y**5 - 2*y + 0*y**5 + 36*y**u.
2*y*(y - 1)**3*(y + 1)
Let q(o) be the second derivative of o**7/21 - 8*o**6/15 + 21*o**5/10 - 7*o**4/3 - 20*o**3/3 + 24*o**2 - 4*o. Factor q(c).
2*(c - 3)*(c - 2)**3*(c + 1)
Let k(x) be the first derivative of x**7/210 - x**6/150 - x**5/20 - x**4/20 + 19*x + 5. Let d(c) be the first derivative of k(c). Factor d(t).
t**2*(t - 3)*(t + 1)**2/5
Let r(w) = 27*w - 51. Let j be r(2). Factor -1/3*i + 1/3*i**j + 0 + 0*i**2.
i*(i - 1)*(i + 1)/3
Let f(p) = 2*p**5 + p**3 + 30*p - 11. Let h(t) = -t**5 - t**3 - 16*t + 6. Let x(w) = 6*f(w) + 11*h(w). Let x(m) = 0. What is m?
-2, -1, 0, 1, 2
Let y(n) = 16*n**4 + 24*n**3 + 48*n**2 + 46*n + 18. Let m(l) = 2*l**4 + l + 1. Let i(o) = -6*m(o) + y(o). Suppose i(v) = 0. What is v?
-3, -1
Let u(s) be the third derivative of 5*s**8/336 - s**6/8 + s**5/6 - s**2 - 39*s. Find p, given that u(p) = 0.
-2, 0, 1
Let s(u) be the third derivative of u**8/2520 - 26*u**7/1575 + 49*u**6/900 - 4*u**5/75 - u**2 + 10. Factor s(c).
2*c**2*(c - 24)*(c - 1)**2/15
Let v(a) be the second derivative of a**5/160 + 7*a**4/32 + 45*a**3/16 + 243*a**2/16 - 2*a + 74. Find i such that v(i) = 0.
-9, -3
Let q = -18711 + 56134/3. What is w in 0*w + 1/3*w**3 + q*w**4 - 1/3*w**5 - 1/3*w**2 + 0 = 0?
-1, 0, 1
Let t(u) be the second derivative of -u**5/20 - 7*u**4/12 - 11*u**3/6 - 5*u**2/2 - 94*u. Factor t(b).
-(b + 1)**2*(b + 5)
Let r(y) be the third derivative of y**8/840 - 2*y**7/525 - 23*y**6/300 + 14*y**5/75 + 28*y**4/15 + 64*y**3/15 + 979*y**2. Find p, given that r(p) = 0.
-4, -1, 4
Let a = -21 - -22. Suppose -3*z**2 - 6*z**5 + 5*z**5 - z - a + 2*z**3 - z**4 + 5*z**2 = 0. What is z?
-1, 1
Find n such that 50 + 165*n - 45/4*n**4 - 495/2*n**2 + 395/4*n**3 = 0.
-2/9, 2, 5
Factor 19*o + 416 + 40*o**3 + 160*o**2 - 2*o**4 + 128*o**2 + 225*o + 364*o.
-2*(o - 26)*(o + 2)**3
Let b(a) be the first derivative of a**4/10 + 28*a**3/15 + 49*a**2/5 - 15. Find f, given that b(f) = 0.
-7, 0
Factor -428*b**2 - 37*b**3 + 4*b + 33*b**3 + 416*b**2 + 12.
-4*(b - 1)*(b + 1)*(b + 3)
Suppose -12*f - 2 + 26 = 0. Find h such that 2/5*h**f + 0 + 4/5*h = 0.
-2, 0
Let y(i) = -4*i**2 - 251*i + 262. Let s(h) = -3*h**2 - 167*h + 175. Let w(z) = 7*s(z) - 5*y(z). Factor w(n).
-(n - 85)*(n - 1)
Let y(u) = u**3 - 5*u + 2. Let o(z) = z**2 + 15*z + 17. Let d be o(-14). Let t be y(d). Factor 7*a - 1 + t*a**2 + 3 - a + 5*a.
(2*a + 1)*(7*a + 2)
Factor 181*u + 2019*u**3 + 1618*u + 3600*u**2 - 71*u + 7*u**5 + 150*u**4 - 4*u**5.
3*u*(u + 1)**2*(u + 24)**2
Let b(w) be the second derivative of -w**4/102 + 22*w**3/51 - 21*w**2/17 - 10*w - 2. What is q in b(q) = 0?
1, 21
Let v(d) be the third derivative of d**5/480 - 53*d**4/96 - 107*d**3/48 - 39*d**2 - 2. Factor v(f).
(f - 107)*(f + 1)/8
Let v(z) be the second derivative of -z**5/40 - z**4/8 - z**3/4 + 9*z**2 + 7*z. Let y(i) be the first derivative of v(i). Find h such that y(h) = 0.
-1
Let h(g) be the second derivative of 3*g**5/140 - g**4/14 - g**3/14 + 3*g**2/7 + 9*g. What is b in h(b) = 0?
-1, 1, 2
Let m(w) = -5*w**2 - 35*w + 5. Let x(q) = 104 - 202 + 96 + 18*q + 3*q**2. Let h(c) = 2*m(c) + 5*x(c). Factor h(k).
5*k*(k + 4)
Suppose 6*y - 13 = -1. Find k such that y*k**2 + 0*k**2 - 2*k - 2*k**4 + 2*k**3 + 0*k = 0.
-1, 0, 1
Let g be 57/(-2)*-5*(-10)/75. Let y(k) = -k**3 - 20*k**2 - 21*k - 35. Let u be y(g). Factor -1/2*c**5 + 0 + 1/2*c**u + 0*c**2 + 0*c + 0*c**4.
-c**3*(c - 1)*(c + 1)/2
Suppose 12/7*n - 6/7*n**2 + 18/7 = 0. Calculate n.
-1, 3
Let q(z) be the third derivative of z**8/560 + z**7/350 - z**6/10 + 960*z**2. Suppose q(y) = 0. What is y?
-5, 0, 4
Let r(j) be the third derivative of -j**5/12 + 55*j**4/4 - 1815*j**3/2 + 52*j**2. Let r(k) = 0. What is k?
33
Let w(t) be the second derivative of 3*t**5/20 + 11*t**4/24 + t**3/3 - 3*t**2/2 - 8*t. Let p(k) be the first derivative of w(k). Factor p(c).
(c + 1)*(9*c + 2)
Let a(g) = g + 1. Let n(j) = -j**2 - j. Let i(h) = h**2 - 11*h - 12. Let t(y) = i(y) + 5*n(y). Let d(l) = -4*a(l) - t(l). Factor d(w).
4*(w + 1)*(w + 2)
Let j = -13433/5 + 2687. Factor -j*c + 0 - 2/5*c**2.
-2*c*(c + 1)/5
Suppose 6*b + 166 = -242. Let t = -68 - b. Factor -3/2*d**3 + t + 0*d + 3/2*d**2.
-3*d**2*(d - 1)/2
Let z(y) = -4*y**2 + y + 29. Suppose 4*g - 12 = 0, -2*f + 4*f = -4*g. Let k(m) = -m**2 + 7. Let j(d) = f*z(d) + 26*k(d). Factor j(u).
-2*(u - 1)*(u + 4)
Let v(q) be the second derivative of -q**6/24 + 41*q**5/40 - 22*q**4/3 + 16*