*2 + 0 - m*c**3 - 1/3*c**4 = 0 for c.
-3, 0, 1
Let r(v) be the second derivative of -3*v**5/40 + 3*v**4 + 51*v**3/4 + 39*v**2/2 - 2*v + 13. Find w, given that r(w) = 0.
-1, 26
Let j(l) be the second derivative of l**5/5 + 29*l**4/36 + 4*l**3/9 - 2*l**2/3 - 2*l + 1. Factor j(f).
(f + 2)*(3*f + 2)*(4*f - 1)/3
Solve 2/3 - 31/3*z + 29/3*z**2 = 0 for z.
2/29, 1
Let j = 5758 - 63334/11. Solve j*g**3 - 2/11*g + 0*g**4 + 0*g**2 - 2/11*g**5 + 0 = 0.
-1, 0, 1
Let g be (-6)/(-15)*(-1950)/(-104). Factor 0 - 25/2*s**2 + 5*s + g*s**3.
5*s*(s - 1)*(3*s - 2)/2
Factor 1/3*i**3 - 5/3*i**2 + 4/3*i + 0.
i*(i - 4)*(i - 1)/3
Let u be 1/(-13)*(-455)/70. Let b(r) be the second derivative of 3/20*r**5 + 0 + u*r**4 - 1/2*r**3 + 3*r - 3*r**2. Factor b(x).
3*(x - 1)*(x + 1)*(x + 2)
Let f(g) be the second derivative of -g**6/6 + 3*g**5/4 + 5*g**4/6 - 10*g**3 + 20*g**2 + 142*g. Factor f(b).
-5*(b - 2)**2*(b - 1)*(b + 2)
Let g(k) be the first derivative of -k**3/12 + 3*k**2/2 - 11*k/4 + 733. Solve g(v) = 0 for v.
1, 11
Let u(w) be the second derivative of -w**7/231 - w**6/33 - 2*w**5/55 + 299*w. Factor u(y).
-2*y**3*(y + 1)*(y + 4)/11
Let u(z) = 3*z**3 + 153*z**2 - 155*z + 53. Let q be u(-52). Solve -1/2*p**2 - 1/2*p + q = 0.
-2, 1
Suppose 11 = 2*u + 3*b + 2*b, -3*b = -2*u + 3. Solve -u*o**5 + 6*o**3 + 6*o**4 + 1 - 1 - 3*o**4 = 0 for o.
-1, 0, 2
Let w(u) be the third derivative of -u**8/84 - 2*u**7/105 + 8*u**6/15 - 4*u**5/3 - 47*u**2. Find b, given that w(b) = 0.
-5, 0, 2
Let t(u) = 19*u**2 - 76*u + 2. Let w be t(4). Determine h, given that 0*h + 1/2*h**w + 0 - 1/4*h**3 = 0.
0, 2
Let i(a) = -3*a**2 - 389*a - 13054. Let v(g) = -2*g**2 - 259*g - 8702. Let t(k) = -5*i(k) + 7*v(k). Factor t(l).
(l + 66)**2
Suppose -5*g - 6 = -3*s, -9 = 3*g - 3*s - 3. Find t such that 2/5*t**5 + 6/5*t**2 - 6/5*t**4 - 2/5*t**3 + g + 0*t = 0.
-1, 0, 1, 3
Factor 0 + 115*r + 125/2*r**2 + 5/2*r**3.
5*r*(r + 2)*(r + 23)/2
Let 14/3*s**3 + 48 - 2/3*s**5 - 16/3*s**4 - 104*s + 172/3*s**2 = 0. Calculate s.
-6, 1, 2
Let z(p) be the first derivative of -5*p**8/336 - p**7/14 - p**6/8 - p**5/12 - 5*p**2 - 2. Let g(n) be the second derivative of z(n). Factor g(h).
-5*h**2*(h + 1)**3
Let p be (-4 - (-1 - 1))*-1. Let b be -9 - (-16 - (5 - 6)). Factor 3/2*h**p - 9/2*h - b.
3*(h - 4)*(h + 1)/2
Let w(f) = 15*f**2 - 1015*f + 4860. Let v(h) = -h**2 + 78*h - 374. Let r(t) = 40*v(t) + 3*w(t). Solve r(s) = 0 for s.
-19, 4
Solve -28/9*k**2 + 0 - 2*k**3 + 0*k - 2/9*k**4 = 0 for k.
-7, -2, 0
Find m, given that -104/5*m - 108/5 + 4/5*m**2 = 0.
-1, 27
Let j(t) be the third derivative of t**6/3060 - t**4/204 - 13*t**3/6 + 7*t**2. Let u(g) be the first derivative of j(g). Factor u(s).
2*(s - 1)*(s + 1)/17
Suppose 16 = 17*i - 15*i. Solve i*k**2 + 180 - 4*k**3 - 180 = 0.
0, 2
Suppose -2*v - 19 = -v. Let t = v + 21. Factor 339 + 4*o**t - 339 - 4*o**3.
-4*o**2*(o - 1)
Suppose 0 = 5*n - 4*v - 52, 3*v = 9*n - 12*n + 15. Let f(u) be the first derivative of 3/2*u**2 + n - 5/9*u**3 + 2/3*u. Factor f(h).
-(h - 2)*(5*h + 1)/3
Let b(j) = 5*j**3 - j**2 - 2*j + 2. Let r be b(2). Let v = r - 31. Factor -8/3*t**2 + 0 + 4/3*t - t**4 - 11/3*t**v.
-t*(t + 2)**2*(3*t - 1)/3
Let h = -1/11221 - -3871247/22442. Let b = h - 172. Factor -b + 1/8*p**2 + 1/2*p - 1/8*p**3.
-(p - 2)*(p - 1)*(p + 2)/8
Solve -432*q + 428*q**3 + 69*q**4 - 4*q**5 + 8*q**5 + 3*q**4 + 792*q**2 - 864 = 0.
-6, -1, 1
Let m = -20459/60 - -341. Let r(v) be the third derivative of 0*v - 1/105*v**7 + 0*v**4 + m*v**6 + 0*v**5 - 2*v**2 + 0*v**3 + 0. Factor r(w).
-2*w**3*(w - 1)
Let w(h) = -9*h**2 - 3*h + 6. Let p(c) = c - 8. Let y be p(2). Let q(d) = 10*d**2 + 3*d - 7. Let t(g) = y*q(g) - 7*w(g). What is x in t(x) = 0?
-1, 0
Let d(s) be the second derivative of -s**7/336 - s**6/80 + 3*s**5/32 - 17*s**4/96 + s**3/8 + 59*s + 1. What is p in d(p) = 0?
-6, 0, 1
Suppose 129*d = 124*d. Let t(w) be the third derivative of 0*w + 0*w**4 + d - 6*w**2 + 1/350*w**7 + 0*w**3 + 0*w**6 - 1/100*w**5. Solve t(a) = 0 for a.
-1, 0, 1
Let f(a) = 16*a**4 + 20*a**3 + 5*a**2 + 4. Let d(g) be the third derivative of -g**6/120 - g**5/60 + g**3/6 + 7*g**2. Let p(y) = -4*d(y) + f(y). Factor p(v).
v**2*(4*v + 3)**2
Let c(a) be the second derivative of -a**7/98 + 23*a**6/70 - 297*a**5/70 + 27*a**4 - 540*a**3/7 + 3*a + 79. Factor c(b).
-3*b*(b - 6)**3*(b - 5)/7
Let c = -128 - -138. Let -4*t - 12*t**2 - 4*t - 2*t**4 + c*t**3 + 139 - 123 = 0. Calculate t.
-1, 2
Let w(v) = -9*v**3 + 6*v**2 + 15*v - 18. Let p(r) = -19*r**3 + 12*r**2 + 31*r - 39. Let d(l) = 6*p(l) - 13*w(l). Let d(k) = 0. Calculate k.
-1, 0, 3
Let b be (1 + 10934/(-18))*(-33)/(-55). Let g = b + 364. Factor 0*w + g*w**3 - 2/15*w**5 + 0 + 0*w**2 + 0*w**4.
-2*w**3*(w - 1)*(w + 1)/15
Suppose -5*n - 2*l = -145, 3*n + 4*l - 71 - 30 = 0. Let f = 83/3 - n. Solve 0*u**2 + 0*u**3 + f*u**4 + 0*u + 0 = 0.
0
Let w(j) be the second derivative of -1/15*j**4 + 0*j**5 + 1/900*j**6 + 5*j + 0*j**2 + 3/2*j**3 + 0. Let q(b) be the second derivative of w(b). Factor q(v).
2*(v - 2)*(v + 2)/5
Let k(w) be the second derivative of w**5/8 + 195*w**4/8 + 7605*w**3/4 + 296595*w**2/4 + 75*w. Factor k(c).
5*(c + 39)**3/2
Let y = -2129/30 - -71. Let h(g) be the third derivative of 0*g - y*g**5 - 1/9*g**3 + 1/180*g**6 + 1/12*g**4 + g**2 + 0. Factor h(n).
2*(n - 1)**3/3
Let m be (-3 - (-26)/(-52))*8/(-14). Suppose 1/5*f**m + 3/5*f + 2/5 = 0. Calculate f.
-2, -1
Suppose 5*g = 4*w + 14, 3*g + 6*w - 3*w = 3. Suppose -2*i = g*v, -i + 3*v + 15 - 7 = 0. Determine u so that 8/5*u - 1/5*u**i - 16/5 = 0.
4
Let x(w) = 6*w**3 - 45*w**2 - 69*w - 19. Let n(f) = f**2 + f - 1. Let k(s) = -n(s) + x(s). Factor k(l).
2*(l - 9)*(l + 1)*(3*l + 1)
Let v = 1909/1149 + 2/383. Solve 0 - 7/3*j**4 + 2/3*j**2 - v*j**3 + 0*j = 0 for j.
-1, 0, 2/7
Let m(z) = 4*z**3 - 426*z**2 + 14706*z - 171506. Let n(a) = 4*a**3 - 425*a**2 + 14705*a - 171505. Let p(w) = 5*m(w) - 6*n(w). Solve p(r) = 0.
35
Let k be (-5)/(-15) - 28/(-6). Suppose 2*a = k - 1. Let -5 + 1 + 0*q + 6*q**3 + a*q**2 + 2*q**4 - 6*q = 0. Calculate q.
-2, -1, 1
Let h(t) = t - 1. Let l(g) = 8*g - 130 + 238 + 2*g**2 - 118. Let q(b) = -6*h(b) + l(b). Factor q(k).
2*(k - 1)*(k + 2)
Suppose 0*h = -h + 2. Factor 3 - 4*s**2 + 9 + h*s**2 - 4.
-2*(s - 2)*(s + 2)
Suppose h = -5*a + 1 + 14, 4*h = -5*a. Suppose -a*q - 5*n + 28 = 0, 3*q - 13 - 9 = -4*n. Suppose 3*x**q - 3*x**4 + 52*x - 52*x = 0. Calculate x.
-1, 0, 1
Let o(q) be the first derivative of q**5/5 + q**4/2 - 7*q**3 + 9*q**2 - 269. Factor o(x).
x*(x - 3)*(x - 1)*(x + 6)
Let c(l) = 16*l**3 - 12*l**2 - 36*l - 2. Let o(g) = 1 - 2 + 3 - 3. Let q be 4/3*(-18)/4. Let p(r) = q*o(r) - c(r). Factor p(x).
-4*(x - 2)*(x + 1)*(4*x + 1)
Let p = -191 + 195. Let o be (0/(-6))/p*2/(-4). Solve 1/4*x**2 + o*x + 0 = 0 for x.
0
Let l be 19/152 - (-92)/32. Let q(p) be the first derivative of -1/24*p**6 + 1/6*p**l - 1/10*p**5 + 0*p**4 + 2 + 1/8*p**2 + 0*p. Determine d so that q(d) = 0.
-1, 0, 1
Let t = 11 + -9. Suppose -3*y = -t*o - 40, -2 + 26 = y + 2*o. Factor -5*k**5 + 16*k**2 - y*k**2 - 2*k**4.
-k**4*(5*k + 2)
Let m(p) be the third derivative of 0*p**3 + 1/30*p**5 - 1/70*p**7 + p**2 - 1/40*p**6 + 1/168*p**8 + 0 + 0*p**4 + 0*p. Factor m(j).
j**2*(j - 2)*(j + 1)*(2*j - 1)
Let k(z) be the second derivative of -17*z + 0 + 0*z**2 - 1/32*z**4 - 1/112*z**7 + 1/80*z**6 + 3/160*z**5 + 0*z**3. Suppose k(f) = 0. Calculate f.
-1, 0, 1
Let f = 52 + 10. Factor f*y**3 + 18*y**3 - 92*y**2 + 1 + 7 + 4*y.
4*(y - 1)*(4*y + 1)*(5*y - 2)
Let u(f) be the third derivative of 1/40*f**6 + 0*f**4 + 1/336*f**8 + 0*f - 1/60*f**5 + 0 + 0*f**3 - 26*f**2 - 1/70*f**7. Determine s, given that u(s) = 0.
0, 1
What is i in -4 - 49 + 2*i**5 + 21 - 22*i**3 + 56*i - 8*i**2 + 4*i**4 = 0?
-4, -2, 1, 2
Let k = 51/26 + -6/13. Let j(c) = 2*c**2 - 6*c + 2. Let m be j(3). Factor 1 + k*g**m + 5/2*g.
(g + 1)*(3*g + 2)/2
Factor 10/7*g**3 + 2/7 - 10/7*g - 2/7*g**2.
2*(g - 1)*(g + 1)*(5*g - 1)/7
Let b = -126 - -43. Let h = -81 - b. Determine y so that 5/2*y + 8*y**h + 9/2*y**3 - 1 = 0.
-1, 2/9
Let j(w) = -5*w**3 + 15*w**2 + 15*w - 25. Let v(x) = -9*x**3 + 29*x**2 + 30*x - 50. Let c(r) = 11*j(r) - 6*v(r). Determine l so that c(l) = 0.
-5, 1
Let r(q) be the second derivative of -q**6/20 + 81*q**5/20 + 21*q**4 + 85*q**3/2 + 171*q**2/4 + 956*q. Solve r(x) = 0 for x.
-1, 57
Suppo