5 + 18 = 4*x. Let f = u + 12. Factor -1 - 14*b + 5*b - f - 4*b**2 - 3*b**2.
-(b + 1)*(7*b + 2)
Factor 4*l**2 - 16*l**4 + 0 + 32/3*l**5 + 2/3*l + 2/3*l**3.
2*l*(l - 1)**2*(4*l + 1)**2/3
Let g = -134 - -200. Suppose 4*c - 44*c - 3*c**3 + g*c**2 - 323*c = 0. What is c?
0, 11
Let b(c) be the second derivative of -c**5/40 + c**4/8 + c**3/3 + 12*c - 5. Find p such that b(p) = 0.
-1, 0, 4
Factor -3*k**4 - 34/3*k + 203/3*k**2 - 100*k**3 + 0.
-k*(k + 34)*(3*k - 1)**2/3
Let t(q) = 24*q**2 - 238*q - 20. Let d be t(10). Let 8/5*c**2 + d*c**3 - 4/5*c**4 - 4/5 + 0*c = 0. What is c?
-1, 1
Find k, given that 195616*k**2 - 618116*k**2 - 719*k + 3440*k + 2479*k - 16 = 0.
2/325
Find u, given that -12/5*u**2 - 4/5*u**4 + 16/5*u**3 - 16/5*u + 16/5 = 0.
-1, 1, 2
Let x(z) = -17*z**2 - 15*z - 16. Let v(o) = -76*o**2 - 60*o - 65. Let h(s) = -4*v(s) + 18*x(s). Factor h(b).
-2*(b + 1)*(b + 14)
Let u be (-5)/(-3)*(-124 - -127). Factor 4/15*h**3 + 4/15*h**2 - 2/15 - 2/15*h - 2/15*h**u - 2/15*h**4.
-2*(h - 1)**2*(h + 1)**3/15
Let l(x) = x**2 + x - 8. Let w be l(3). Let s(y) be the first derivative of 4*y**3 + 9/4*y**w - 7 - 6*y - 3/2*y**2. Factor s(p).
3*(p + 1)**2*(3*p - 2)
Let j(p) be the third derivative of -2*p**7/105 - 11*p**6/6 - 342*p**5/5 - 1134*p**4 - 3888*p**3 - 942*p**2. What is a in j(a) = 0?
-18, -1
Factor 20 + 25 - 5*r**2 - 25*r - 65.
-5*(r + 1)*(r + 4)
Let x be ((-15)/45)/(-3 - (-260)/90). Factor -3/4*i**x - 1 + 15/4*i - 2*i**2.
-(i - 1)*(i + 4)*(3*i - 1)/4
Let c(i) be the second derivative of -5*i**6/42 - 7*i**5/4 - 46*i**4/21 - 6*i**3/7 + 2*i - 36. Solve c(s) = 0 for s.
-9, -2/5, 0
Factor -3*r**2 + 48/7 + 30/7*r - 3/7*r**3.
-3*(r - 2)*(r + 1)*(r + 8)/7
Let i = 6579 + -32893/5. Factor -6/5*f - 4/5 - i*f**2.
-2*(f + 1)*(f + 2)/5
Let d(g) = -3*g**2 - 24*g + 33. Let r(y) = -y**2 + y + 1. Suppose 5 = -4*v + 21, 4*i + 4*v = 20. Let q(j) = i*d(j) - 6*r(j). Let q(o) = 0. Calculate o.
1, 9
Let d(p) be the first derivative of p**3/21 + 58*p**2/7 + 3364*p/7 - 126. Factor d(n).
(n + 58)**2/7
Suppose -4/5*b**5 - 4/5*b**3 + 0 + 24/5*b**2 + 0*b - 16/5*b**4 = 0. What is b?
-3, -2, 0, 1
Factor -2/7*o**3 - 96/7 + 16/7*o + 10/7*o**2.
-2*(o - 4)**2*(o + 3)/7
Let p(s) be the second derivative of -1/108*s**4 + 2/9*s**3 + 0 - 2*s**2 + 13*s. Factor p(t).
-(t - 6)**2/9
Let u be 560/(-136) - (1 - 5). Let i = u - -52/153. Factor i + 2/9*j**2 + 4/9*j.
2*(j + 1)**2/9
Factor 0 + 0*r + 2/7*r**5 + 15/7*r**4 - 16/7*r**2 + 24/7*r**3.
r**2*(r + 4)**2*(2*r - 1)/7
Let c(i) = -5*i**3 + 21*i**2 - 40*i + 24. Let p(u) = 4*u**3 - 20*u**2 + 40*u - 24. Let s(k) = -4*c(k) - 6*p(k). Factor s(t).
-4*(t - 6)*(t - 2)*(t - 1)
Let q(p) be the third derivative of -p**5/30 - 4*p**4/3 + 12*p**3 + 171*p**2. Factor q(g).
-2*(g - 2)*(g + 18)
Factor 1/6*k**2 - 13*k + 77/6.
(k - 77)*(k - 1)/6
Let q(v) be the second derivative of v**5/30 - v**4/2 + 20*v**3/9 - 4*v**2 - 325*v. Suppose q(p) = 0. What is p?
1, 2, 6
Let a(n) = -11*n + 44. Let q = 162 - 158. Let m be a(q). Solve -1/8*i**2 + m - 3/8*i = 0 for i.
-3, 0
Find s, given that 3/5*s**3 - 1/5*s**5 + 0 - 2/5*s + 1/5*s**2 - 1/5*s**4 = 0.
-2, -1, 0, 1
Let j(z) be the second derivative of 0*z**5 - 1/45*z**6 - 12*z - 1/3*z**2 + 1/9*z**4 + 0*z**3 + 0. Determine v, given that j(v) = 0.
-1, 1
Let m(j) = -5*j**2. Let g(d) = 9*d**2 - 752*d + 35344. Let h(l) = g(l) + m(l). What is o in h(o) = 0?
94
Let o(p) be the third derivative of p**6/180 - 4*p**5/45 - 5*p**4/9 + 77*p**2. Factor o(j).
2*j*(j - 10)*(j + 2)/3
Let o(r) be the first derivative of 0*r + 0*r**3 + 8/5*r**5 + 0*r**2 - 2/3*r**6 - 3 - r**4. Find s, given that o(s) = 0.
0, 1
Let p be (-1)/2*(-73 + 2 + -1). Factor 10*r + 32*r**3 + 13*r**2 - 38*r**2 - 31*r**3 - p*r**3.
-5*r*(r + 1)*(7*r - 2)
Let d = -23 - -25. Suppose 2*l**2 + 7*l**3 - 8*l**d - 8*l**3 + 4 + 28 = 0. Calculate l.
-4, 2
Factor 0 + 2*q + 1/6*q**2.
q*(q + 12)/6
Factor -55488 + 1252*y - 94*y**2 + 278*y**2 - 95*y**2 - 436*y - 92*y**2.
-3*(y - 136)**2
Let i(b) be the third derivative of -2*b**6/105 - b**5/7 + 4*b**4/7 - 10*b**3/21 - 27*b**2 - 2. Factor i(n).
-4*(n - 1)*(n + 5)*(4*n - 1)/7
Let k(d) = -d**2 - 63*d + 298. Let f(a) = 4*a**2 + 188*a - 896. Let q(z) = 5*f(z) + 16*k(z). Factor q(o).
4*(o - 9)*(o - 8)
Let s(b) be the second derivative of b**8/8064 - 11*b**7/7560 + 7*b**6/1080 - b**5/90 + 11*b**4/4 - 37*b. Let p(a) be the third derivative of s(a). Factor p(t).
(t - 2)**2*(5*t - 2)/6
Let 26/7*w - 2/7*w**2 + 0 = 0. Calculate w.
0, 13
Let g(f) be the third derivative of -f**6/240 + 2*f**3/3 + 7*f**2. Let w(x) be the first derivative of g(x). Find h, given that w(h) = 0.
0
Let k(n) be the second derivative of 1/18*n**4 + 4/9*n**3 - 2/15*n**5 + 0 - 7*n - 1/3*n**2. Factor k(o).
-2*(o - 1)*(o + 1)*(4*o - 1)/3
Let l(c) be the first derivative of 21*c**4/8 + 19*c**3/6 - 32*c**2 + 6*c - 58. Factor l(k).
(k - 2)*(k + 3)*(21*k - 2)/2
Let o = 1805 - 1805. Determine z, given that -7/5*z**4 - z**3 + 0 + 2/5*z**2 + o*z = 0.
-1, 0, 2/7
Let d(h) be the first derivative of 35/3*h**3 + 5*h - 9 - 25/2*h**2 - 15/4*h**4. Let d(n) = 0. What is n?
1/3, 1
Let x = -40 + 45. Suppose x*p - 28 = 4*r, -5*p - 4*r - 3 = -15. Factor 1/4*o**2 - 15/4*o**3 + 1/2*o - 7/4*o**5 + 19/4*o**p + 0.
-o*(o - 1)**3*(7*o + 2)/4
Let q(z) be the third derivative of z**7/2940 + z**6/1260 + 19*z**3/6 + 4*z**2. Let x(y) be the first derivative of q(y). Factor x(u).
2*u**2*(u + 1)/7
Let l(v) be the third derivative of v**9/15120 + v**8/4200 - v**7/1400 - 3*v**3/2 - 11*v**2. Let s(x) be the first derivative of l(x). Factor s(z).
z**3*(z - 1)*(z + 3)/5
Let d be 2270/8*(-3 - -4). Let p = d + -281. Let 1/2 + p*f + 9/4*f**2 = 0. What is f?
-1, -2/9
Suppose 2/5*w**2 + 6/5 + 8/5*w = 0. Calculate w.
-3, -1
Let b = 6485 + -6483. Factor 0*o + 9/2*o**3 + 0 + 6*o**4 + 5/2*o**5 + o**b.
o**2*(o + 1)**2*(5*o + 2)/2
Let y = -11975/3 - -3992. What is c in y*c**2 + 16/3 + 8/3*c = 0?
-4
Let x(q) be the second derivative of q**6/40 - 3*q**4/8 + q**3 + 8*q**2 - 13*q. Let w(b) be the first derivative of x(b). Factor w(m).
3*(m - 1)**2*(m + 2)
Let n(s) = -73*s**2 + 336*s - 89. Let m = -69 - -71. Let c(r) = 18*r**2 - 84*r + 22. Let v(d) = m*n(d) + 9*c(d). Suppose v(i) = 0. What is i?
1/4, 5
Let i = 5/3 - 49/30. Let z(v) be the third derivative of 1/30*v**4 + 0*v - i*v**5 + 0 - 1/150*v**6 + 1/105*v**7 + 0*v**3 - 6*v**2. Find t, given that z(t) = 0.
-1, 0, 2/5, 1
Let d(m) be the first derivative of -19 - 1/2*m**6 - 7*m**3 - 3*m**5 - 27/4*m**4 - 3*m**2 + 0*m. Factor d(r).
-3*r*(r + 1)**3*(r + 2)
Let y(q) be the third derivative of -q**8/3360 + q**7/252 - 7*q**6/360 + q**5/20 - 11*q**4/12 - 18*q**2. Let u(a) be the second derivative of y(a). Factor u(w).
-2*(w - 3)*(w - 1)**2
Let l be -54*(-6)/(-120)*10/(-4). Factor -l - 48*i**2 + 36*i.
-3*(8*i - 3)**2/4
Let z be 0/((-12)/3 - -6). Let t(n) be the first derivative of 1/5*n**2 + z*n + 2/15*n**3 + 2. Factor t(d).
2*d*(d + 1)/5
Suppose 0 = 2*a - 4, -7*y - 5*a = -5*y - 10. Let i = -3 + 8. Factor 0*d**2 + 0 + 0*d**4 - 1/6*d**3 + 1/6*d**i + y*d.
d**3*(d - 1)*(d + 1)/6
Let w = -108 + 108. Let h(k) be the third derivative of 1/180*k**6 + w*k**4 - 1/90*k**5 + 0 + 0*k**3 + 0*k + 4*k**2. Suppose h(x) = 0. Calculate x.
0, 1
Let i(a) = -6*a**2 + 42*a - 27. Let l(o) = o. Let q(s) = -i(s) + 15*l(s). Determine f so that q(f) = 0.
3/2, 3
Let a(c) be the first derivative of c**6/140 - 3*c**5/140 + c**4/42 - 7*c**3/3 + 1. Let u(q) be the third derivative of a(q). Factor u(p).
2*(3*p - 2)*(3*p - 1)/7
Let b(a) be the third derivative of a**7/3780 - a**6/540 - a**5/60 - 5*a**4/24 - 9*a**2. Let m(y) be the second derivative of b(y). Factor m(h).
2*(h - 3)*(h + 1)/3
Let x(v) be the third derivative of -4/9*v**3 - 1/18*v**4 + 0*v + 1/90*v**6 + 0 + 2/45*v**5 + 8*v**2. Factor x(y).
4*(y - 1)*(y + 1)*(y + 2)/3
Let r = -50/33 + 283/165. Factor 0 + 0*f + r*f**2.
f**2/5
Let t = -873 - -881. Let d(k) be the third derivative of -k**3 - 1/10*k**6 + 0 - 1/112*k**t + 2/35*k**7 + 8*k**2 + 0*k - 1/10*k**5 + 5/8*k**4. Factor d(l).
-3*(l - 2)*(l - 1)**3*(l + 1)
Let v(y) be the third derivative of -y**8/4032 - y**7/504 - y**6/144 + 13*y**5/60 + 19*y**2. Let w(f) be the third derivative of v(f). Factor w(o).
-5*(o + 1)**2
Let r = 1272 + -1270. Let p(q) be the second derivative of 2*q + 0*q**r + 0*q**3 + 4/3*q**4 + 0