actor 2/19*p**2 - q*p + 128/19.
2*(p - 8)**2/19
Solve -780*z - 255/4*z**2 - 5/4*z**3 + 845 = 0.
-26, 1
Let c = -5 - -10. Factor -18 - 4*j**5 + 2*j**c + 2*j**2 - 2*j**4 + 18 + 2*j**3.
-2*j**2*(j - 1)*(j + 1)**2
Let y(f) be the third derivative of 5*f**3/6 - 5*f**2. Let l(x) = x**2 + x + 5. Let a(m) = 5*l(m) - 5*y(m). Let a(s) = 0. Calculate s.
-1, 0
Let d(u) be the third derivative of 1/420*u**7 + 3/40*u**5 + 0*u**4 + 8*u**2 + 0*u**3 - 1/40*u**6 + 0*u + 0. Let d(g) = 0. Calculate g.
0, 3
Let v be ((-3)/2)/((-2)/4). Suppose 0 = -3*d - r + 17, v*d + 5*r = -0*d + 37. Factor -d*h**2 - 11*h - h + 3*h**2 + 18 + 3*h**2.
2*(h - 3)**2
Suppose 40 + 22*c**2 + 12*c**2 - 12*c - 38*c**2 = 0. What is c?
-5, 2
Let r(j) = -4*j**2 + 44*j + 3. Let c be r(11). Solve -25*k**2 - 2*k - 28*k + 74*k**3 - 69*k**c = 0 for k.
-1, 0, 6
Let c(v) = v**3 - 19*v**2 + 5*v - 35. Let g be c(19). Let r be g/52 + -2 - -1. Solve -2/13*o + 0*o**2 + r*o**3 + 0 = 0 for o.
-1, 0, 1
Let u = -66 + 68. Let f be (-32)/(-14) - (0 + u). Solve 0*i**2 + 0 - 2/7*i**3 + f*i = 0.
-1, 0, 1
Let g = 10019/13356 - 1/6678. Factor 0*y + 0 - 3/8*y**3 - g*y**2.
-3*y**2*(y + 2)/8
Let q = 4191 - 4189. Factor -13/3*l**3 - 4/3*l**5 - 1/3*l + q*l**2 + 4*l**4 + 0.
-l*(l - 1)**2*(2*l - 1)**2/3
Suppose 30 = -k + 35. Let u(m) be the third derivative of 0*m + 3*m**2 - 1/6*m**4 + 0 - 4/3*m**3 + 1/30*m**6 + 2/15*m**k. Factor u(o).
4*(o - 1)*(o + 1)*(o + 2)
Let d = -231 - -231. Let b(p) be the third derivative of 0 + p**2 + d*p**4 + 0*p + 0*p**3 + 1/10*p**7 + 1/5*p**5 + 2/5*p**6. Let b(w) = 0. Calculate w.
-2, -2/7, 0
Let y(j) be the second derivative of j**5/210 - j**3/21 + 6*j**2 - 11*j. Let i(x) be the first derivative of y(x). Determine k so that i(k) = 0.
-1, 1
Let k be (-15)/(-5)*2 - 3. Suppose -6 = 3*r - 0*b + k*b, -5*r + 2*b = -4. What is u in -1/4*u + r - 1/4*u**2 = 0?
-1, 0
Find m such that 96/23*m**2 - 8/23*m + 0 - 2*m**4 - 42/23*m**3 = 0.
-2, 0, 2/23, 1
Suppose 1/5*k**4 - 52/5*k + 17/5 - 4*k**3 + 54/5*k**2 = 0. Calculate k.
1, 17
Suppose v + 0*v - y - 189 = 0, 5*v = -5*y + 895. Find n, given that -12*n + 36*n**5 - 33*n - 188*n**3 - 24*n**4 - 3*n - v*n**2 + 8*n**2 = 0.
-1, -2/3, 0, 3
Let c(o) = o**2 - 9*o + 8. Let y be c(8). Let v be 5 + (y - (-1)/(-1)). Factor 3/2*t**v - 6*t + 3/2*t**3 - 6*t**2 + 0.
3*t*(t - 2)*(t + 1)*(t + 2)/2
Let s = -15 + 23. Suppose -4*b = -s*b + 12. Determine a so that 2*a**3 - 5*a**4 + 4*a**4 - 3*a**3 + 2 + b*a**2 + 5*a = 0.
-1, 2
Suppose -2*g - 2 = -6. Suppose 2*n = g + 4. What is p in 5*p**3 + n*p**4 - 2*p**3 - 2*p**5 - 4*p**5 = 0?
-1/2, 0, 1
Suppose -2*m - 25 = m + t, 2*t + 41 = -5*m. Let g = -7 - m. Solve -3*k**g - k**2 + 3*k**4 - 3*k**3 + 3*k + k**2 + 0*k**3 = 0.
-1, 0, 1
Suppose -1 + 11 = 5*j. Factor 23*x**2 - 69*x**2 + 6*x + 20*x**2 + 23*x**j.
-3*x*(x - 2)
Factor -34/13*z + 20/13 + 6/13*z**2.
2*(z - 5)*(3*z - 2)/13
Factor -18*x**3 - 164*x + 162*x + 4*x**4 - 4*x**5 + 10*x**4 + 10*x**2.
-2*x*(x - 1)**3*(2*x - 1)
Let q be ((-27)/18)/((7/(-5))/((-6)/(-15))). Let -q*a - 9/7*a**2 + 6/7 + 3/7*a**3 + 3/7*a**4 = 0. What is a?
-2, -1, 1
Find s, given that 32/5*s - 126/5*s**2 + 128/5 - 2/5*s**4 - 32/5*s**3 = 0.
-8, -1, 1
Let w(j) be the first derivative of -12*j**5/5 + 13*j**4 - 8*j**3/3 - 16*j**2 - 76. Let w(y) = 0. What is y?
-2/3, 0, 1, 4
Factor -1 + 1 + 144*j**2 - 147*j**2 - 3*j.
-3*j*(j + 1)
Let p be (-6)/(-21)*28/4. Factor -12 + 12*y**p + 5*y**3 - 4*y + 2*y**3 - 11*y**3 + 8*y**3.
4*(y - 1)*(y + 1)*(y + 3)
Let c = 6 + -3. Let n(j) be the second derivative of 0 + 0*j**2 + 3*j + 9/20*j**5 + 1/4*j**4 + 0*j**c. Factor n(z).
3*z**2*(3*z + 1)
Let p be 8/(-4) - -4 - -32. Let z = -235/7 + p. Factor z*f**3 - 375/7 - 45/7*f**2 + 225/7*f.
3*(f - 5)**3/7
Let b(k) = -k + 13. Let s be b(9). Suppose s*m - 9 = -3*h, -m + 2 = -2*h + 8. Determine y, given that 0*y + 8/11*y**h + 0 - 2/11*y**2 = 0.
0, 1/4
Let f(q) = 36*q**5 + 141*q**4 + 84*q**3 - 75*q**2 - 42*q. Let w(u) = u**3 + u**2 + 2*u. Let a(l) = -f(l) + 6*w(l). Find r, given that a(r) = 0.
-3, -1, -2/3, 0, 3/4
Suppose 20 = -3*x - 931. Let z = x - -6025/19. Factor -4/19*r**2 - z*r + 0 - 2/19*r**3.
-2*r*(r + 1)**2/19
Let k(n) be the third derivative of -14/3*n**4 - 16/3*n**3 + 7/15*n**6 + 0*n - 4/105*n**7 + 0 - 11/10*n**5 + 5*n**2. Suppose k(x) = 0. Calculate x.
-1/2, 4
Let y(d) be the first derivative of -25/4*d + 3 + 5/4*d**2 - 1/12*d**3. Suppose y(r) = 0. What is r?
5
Let v(n) be the third derivative of -1/480*n**6 + 1/80*n**5 + 0*n - 1/840*n**7 + 5/96*n**4 + 15*n**2 + 0 + 1/12*n**3. Factor v(y).
-(y - 2)*(y + 1)**3/4
Let j(n) = -7*n**3 - 84*n**2 + 184*n - 83. Let c(w) = -20*w**3 - 252*w**2 + 550*w - 250. Let l(i) = 5*c(i) - 14*j(i). Factor l(u).
-2*(u - 1)**2*(u + 44)
Suppose -12*j = -10*j + 4. Let p(n) = -n**2 + 1. Let y(m) = -m**2 - 2*m + 3. Let v(q) = j*p(q) + y(q). Factor v(r).
(r - 1)**2
Let i(w) be the first derivative of -w**6/45 + 4*w**5/25 + 37*w**4/30 + 4*w**3/3 - 108. What is b in i(b) = 0?
-3, -1, 0, 10
Let a(n) = 5*n**2 - 15. Let u(c) = -c**2 + c + 1. Suppose -2*r = -7*r + w + 25, -r = 4*w - 5. Let x(z) = r*a(z) + 30*u(z). Factor x(q).
-5*(q - 3)**2
Let r(k) be the second derivative of 2/9*k**4 + 1/3*k**2 - 5*k - 1/15*k**5 + 0 - 10/27*k**3 + 1/135*k**6. Suppose r(g) = 0. Calculate g.
1, 3
Let d(w) be the first derivative of w**6/45 + w**5/20 - w**4/12 + 2*w**3/3 + 10. Let t(l) be the third derivative of d(l). Determine u so that t(u) = 0.
-1, 1/4
Let h = -44 - -46. Find w such that 293 + 0*w**h - 293 - 15*w**2 - 5*w + 20*w**3 = 0.
-1/4, 0, 1
Let k(x) = x + 100. Let c be k(-24). Factor -81*i - i**2 - 3 + c*i - 1.
-(i + 1)*(i + 4)
Find c, given that 110*c**2 + 89*c - 20*c**3 + 38*c**3 - 13*c**3 + 360 + 183*c + 108*c = 0.
-18, -2
Let a(k) be the first derivative of -k**4 - 12*k**3 - 54*k**2 - 108*k + 38. Suppose a(j) = 0. Calculate j.
-3
Factor 0 + 0*f**3 - 2/3*f**4 + 40/3*f + 14*f**2.
-2*f*(f - 5)*(f + 1)*(f + 4)/3
Let o(z) be the second derivative of -z**7/168 - z**6/20 - 7*z**5/40 - z**4/3 - 3*z**3/8 - z**2/4 + 52*z. Suppose o(k) = 0. What is k?
-2, -1
Let k(m) be the third derivative of -m**5/60 + 2*m**4/3 - 32*m**3/3 + 6*m**2 + 2. Find h, given that k(h) = 0.
8
Suppose 180*l - 178 = 180 + 2. Factor -4/3*g + 1 + 1/3*g**l.
(g - 3)*(g - 1)/3
Factor 2004 + j**2 - 292 + 114*j + 2361 + 0*j**2 - 824.
(j + 57)**2
Let t = -11294/21 + 3060/7. Let z = t + 101. Find n, given that z*n**3 + 2/3*n**2 + 1/3*n + 0 = 0.
-1, 0
Let v(f) be the second derivative of f**7/28 + 6*f**6/5 + 1719*f**5/160 - 71*f**4/32 - 51*f**3/2 + 27*f**2 + 39*f - 2. Find p, given that v(p) = 0.
-12, -1, 1/2
Factor -24 + 54 - 30 + 9*o**2 + 3*o**2 - 8*o.
4*o*(3*o - 2)
Let h(l) be the second derivative of -l**5/4 - 25*l**4/6 + 5*l**3/6 + 25*l**2 + 5*l - 35. Factor h(x).
-5*(x - 1)*(x + 1)*(x + 10)
Suppose 0*m + 5 = -5*m. Let d be (-6)/2 + 56 + m. Determine n so that 3*n**4 + 48*n + 37 + 24*n**3 + n**4 - 21 + d*n**2 = 0.
-2, -1
Suppose -6*o = 4*h - 3*o - 396, 495 = 5*h + 5*o. Let z = h - 689/7. Factor 4/7 - 4/7*b**3 - 3/7*b**2 + z*b - 1/7*b**4.
-(b - 1)*(b + 1)*(b + 2)**2/7
Let a(c) be the third derivative of c**5/30 + 20*c**4/3 - 27*c**3 + 7*c**2. Factor a(h).
2*(h - 1)*(h + 81)
Let k be (210/(-140))/(1/(-2)). Solve 2/7*o**5 + 0 + 0*o + 10/7*o**4 + 0*o**2 + 0*o**k = 0.
-5, 0
Let q(t) be the first derivative of 3*t**5/5 + 27*t**4/4 + 15*t**3 + 21*t**2/2 + 180. Let q(n) = 0. Calculate n.
-7, -1, 0
Let d(r) be the first derivative of -r**7/140 - r**6/40 - 23*r**2/2 + 15. Let q(w) be the second derivative of d(w). Factor q(m).
-3*m**3*(m + 2)/2
Let l(f) be the third derivative of f**7/525 + f**6/75 + f**5/75 - f**4/15 - f**3/5 - 38*f**2 + f. Find j such that l(j) = 0.
-3, -1, 1
Let q(p) be the second derivative of -7/27*p**3 + 49/18*p**2 + 0 + 1/108*p**4 - 3*p. Let q(y) = 0. Calculate y.
7
Let t be 3/9*-9 - (-50)/15. Let n(q) be the second derivative of 0 - 4/3*q**3 + 0*q**2 + 2/3*q**6 - q + t*q**4 + 8/5*q**5. Determine l, given that n(l) = 0.
-1, 0, 2/5
Let w(s) be the first derivative of 0*s**2 - 5/18*s**6 + 0*s**5 + 0*s - 10/9*s**3 + 11 + 5/4*s**4. Determine j so that w(j) = 0.
-2, 0, 1
Let s be (2/5)/(112/896). Factor -s*h - 2/5*h**2 - 32/5.
-2*(h + 4)**2/5
Let y(g) = 2*g**2 - g + 1. Let j(o) = -567*o**3 - 104*o**2 + 51*o + 1. Let m(u) = 2*j(u) + 14*y(u). Factor m(s)