-24 + 8*t - t**4 - 6*t**3 + 9 + 4*t + 26. Let c(h) = 3*h**4 + 13*h**3 - h**2 - 24*h - 23. Let n(p) = 5*a(p) + 2*c(p). Factor n(r).
(r - 3)**2*(r + 1)**2
Factor -4*f**2 - 17917610 + 17917610 - 792*f.
-4*f*(f + 198)
Let k be 4/(-11) + 52020/1122 + -44. What is d in -9/2*d**3 - 3/2*d**4 + 9/2*d + 3 - 3/2*d**k = 0?
-2, -1, 1
Suppose -2436*d + 2435*d - 33 = 3*m, 3*d = -3*m - 33. Factor d + 23/3*w**2 - 10/3*w + 1/3*w**4 + 1/3*w**5 - 5*w**3.
w*(w - 2)*(w - 1)**2*(w + 5)/3
Let r(i) = 2*i**3 - 52*i**2 + 95*i - 45. Let j(v) = -4*v**3 + 106*v**2 - 193*v + 91. Let p(d) = -3*j(d) - 7*r(d). Let p(w) = 0. Calculate w.
1, 21
Let q(n) be the first derivative of -n**3/9 + 4*n**2/3 - 4*n + 1884. Factor q(o).
-(o - 6)*(o - 2)/3
Let n(q) be the first derivative of -4*q**3/3 - 1844*q**2 - 850084*q - 2293. Solve n(u) = 0 for u.
-461
Let q(l) be the first derivative of l**5/25 - l**4/3 + 14*l**3/15 - 6*l**2/5 + 130*l + 115. Let b(d) be the first derivative of q(d). Solve b(c) = 0 for c.
1, 3
Factor -3*u**2 - 56*u - 8*u**2 + 13*u**2 + 150.
2*(u - 25)*(u - 3)
Suppose -3*s + 15*s = -39*s. Suppose s = 13*r + 5*r - 36. Find a, given that 0 - 6*a**r - 21/4*a - 3/4*a**3 = 0.
-7, -1, 0
Find w such that -265*w**2 - 130*w - 1963*w**4 + 662*w**4 - 140*w**3 + 658*w**4 + 638*w**4 = 0.
-26, -1, 0
Factor -12/7*p**3 + 0 - 2/7*p**4 + 0*p + 0*p**2.
-2*p**3*(p + 6)/7
Let a(v) be the first derivative of -v**6/45 - 7*v**5/60 - v**4/18 + v**3/6 - 110*v - 163. Let m(t) be the first derivative of a(t). Let m(j) = 0. What is j?
-3, -1, 0, 1/2
Suppose 30 = 4*q + l, q + q - 4*l = 6. Suppose 0 = w + q - 28. Factor -1 - 3 - 6 - 27*d**3 + 4 + w*d.
-3*(d + 1)*(3*d - 2)*(3*d - 1)
Let b be (3/(-5))/(65 + (-16978)/260). Solve 1/4*z**b - 21/4*z + 0 = 0.
0, 21
Factor -9 - 56*m**2 - 488*m + 1474*m - 544*m + 256*m**4 + 96*m**3 - 191*m**2 - 538*m.
(m - 1)*(m + 1)*(16*m + 3)**2
Suppose 3*w + 5*g - 99 = -69, -12 = -3*w - 2*g. Find j such that 2/3*j**5 + 0 + w*j - 8/3*j**2 - 2/3*j**3 + 8/3*j**4 = 0.
-4, -1, 0, 1
Let m(k) be the third derivative of -103*k**2 - 40*k**3 + 0 + 0*k - k**4 - 1/100*k**5. Let m(s) = 0. Calculate s.
-20
Let s(h) be the first derivative of 2/5*h**3 - 7/60*h**4 - 1 + 1/150*h**5 - 17/2*h**2 + 0*h. Let v(n) be the second derivative of s(n). Solve v(t) = 0 for t.
1, 6
Let y(z) be the second derivative of 40/7*z**2 + 1/21*z**4 + 44*z + 32/21*z**3 + 0 - 1/35*z**5. Find m such that y(m) = 0.
-2, 5
Let s(m) be the third derivative of m**7/70 - m**6/40 - 49*m**5/20 + 49*m**4/8 + 2*m**2 - 5*m - 170. Determine w, given that s(w) = 0.
-7, 0, 1, 7
Let t be (21 + (-76)/(-18)*981/218)*(-1)/(-28). Factor 2/7*g - 2/7*g**3 - 10/7*g**2 + t.
-2*(g - 1)*(g + 1)*(g + 5)/7
Let g(x) = -x - 54162*x**2 + x**3 + 0*x**3 + 1 + 54161*x**2. Let n(u) = 81*u**4 + 363*u**3 + 469*u**2 + 157*u + 19. Let y(h) = 12*g(h) - 4*n(h). Factor y(q).
-4*(q + 2)**2*(9*q + 2)**2
Let z(t) = 10*t**3 - 10*t**2 - 65*t + 60. Let q(a) = 9*a**3 - 12*a**2 - 64*a + 48. Let n(v) = -5*q(v) + 4*z(v). Factor n(w).
-5*w*(w - 6)*(w + 2)
Let a = 151181 - 151177. Factor 44/5 + 134/5*g + 10*g**3 + 138/5*g**2 + 2/5*g**a.
2*(g + 1)**3*(g + 22)/5
Suppose 3*y - 4 + 12 = s, -3*s + 4*y + 39 = 0. Suppose -s*b + 0*b + 204 = 0. Solve 3/4*l**2 + 48 - b*l = 0 for l.
8
Let u(y) be the third derivative of 3*y - 1/336*y**8 + 1/42*y**7 + 0*y**4 + y**2 + 0*y**3 - 1/15*y**6 + 0 + 1/15*y**5. Find h such that u(h) = 0.
0, 1, 2
Suppose -118*k + 115*k = 30. Let y be (-1)/((-60)/99) - (-4)/k. Solve -5/4*b**4 + 0 + 5/2*b**3 - 5/2*b + y*b**2 = 0.
-1, 0, 1, 2
Suppose -39*b + 2587199 = 2587043. Solve 2*n**2 + 1/4*n**b + 5/4*n**3 + 0 + n = 0 for n.
-2, -1, 0
What is o in 226/3*o**2 + 676/9*o + 2/9*o**3 + 0 = 0?
-338, -1, 0
Let i = -5/68 + 201/884. Let c = 140615 - 1827955/13. Find u such that c*u**2 + 58/13*u**3 - 4/13 + 24/13*u**4 + i*u = 0.
-1, -2/3, 1/4
Let z(i) be the second derivative of 16/3*i**3 - 83*i - 1/10*i**5 - i**4 + 0*i**2 + 0. Let z(c) = 0. Calculate c.
-8, 0, 2
Let n(j) = j**3 - j**2 - 2. Let u(w) = -4*w**3 + w**2 + 19*w + 26. Let i = 742 - 746. Let m(f) = i*u(f) - 12*n(f). Suppose m(x) = 0. What is x?
-5, -1, 4
Let n(r) = -2*r**2 + 17*r - 28. Let t be n(6). Let 91 + 35*d**3 + 5*d**4 - 98 + 114*d + 90*d**t - 14*d + 47 = 0. What is d?
-2, -1
Factor 2*g**5 + 112*g**3 - 21*g**3 - 20*g**3 + 8*g**4 - 27*g**3 - 54*g**3.
2*g**3*(g - 1)*(g + 5)
Let p(q) be the first derivative of -198 + 18*q + 4*q**3 + 1/4*q**4 + 29/2*q**2. Let p(r) = 0. What is r?
-9, -2, -1
Let u(i) be the first derivative of -i**4 - 2/15*i**5 - 8/3*i**3 - 8/3*i**2 - 71 + 0*i. Factor u(f).
-2*f*(f + 2)**3/3
Let c = 575/2232 + -17/2232. Let z(v) be the second derivative of -c*v**4 - 10*v + 0 - 6*v**2 + 2*v**3. Let z(d) = 0. What is d?
2
Let d = 716 + -649. Determine p, given that 28*p**2 - 80 + 11*p - 26*p**2 + d*p = 0.
-40, 1
Find s, given that 15/7*s + 90/7*s**2 + 6/7*s**4 + 45/7*s**3 - 36/7 = 0.
-4, -3, -1, 1/2
Let h = -583 - -585. Let c(q) be the first derivative of 16 + 2/7*q - 1/14*q**4 + 1/7*q**h - 2/21*q**3. Factor c(v).
-2*(v - 1)*(v + 1)**2/7
Suppose -20 + 2 = -6*o. Suppose 0 = -5*j - 4*v + 406, j = o*j - 4*v - 140. Find z, given that 24*z - z**2 + 30 - 2*z**2 - j = 0.
4
Solve -128541*r - 5*r**3 - 1195*r**2 - 1645*r**2 - 274739*r = 0.
-284, 0
Let z be 2 + (1 + -2 - -1). Suppose z*p = -4*p. Factor -2/7*f**2 + 8/7 + p*f.
-2*(f - 2)*(f + 2)/7
Let q(x) be the first derivative of 0*x + 2*x**3 + 4*x**2 + 1/4*x**4 - 38. Let q(k) = 0. Calculate k.
-4, -2, 0
Let c(q) = 5*q**3 + 26*q**2 + 36*q. Let w(v) = 2*v**3 - v**2 - 6*v. Let j(g) = -c(g) + w(g). Factor j(n).
-3*n*(n + 2)*(n + 7)
Find x, given that -4/3*x**4 - 32 - 292/3*x - 36*x**3 - 100*x**2 = 0.
-24, -1
Let l(i) be the first derivative of -16 + 4/15*i**3 - 4/25*i**5 + 0*i + 3/20*i**4 + 1/30*i**6 - 2/5*i**2. Factor l(o).
o*(o - 2)**2*(o - 1)*(o + 1)/5
Let c be 0 + 20/16 - (1 + 11/66). Let r(z) be the first derivative of c*z**3 + 1/8*z**2 - 3 - 1/16*z**4 - 1/4*z. Factor r(j).
-(j - 1)**2*(j + 1)/4
Let z(b) be the first derivative of 1/2*b**6 + 36*b - 27/4*b**4 - 13*b**3 + 288 + 3/5*b**5 + 12*b**2. What is v in z(v) = 0?
-2, -1, 1, 3
Let m(k) = k**2 - 11*k + 42. Let z(n) = -n + 1. Let o(p) = m(p) + 4*z(p). Let t be o(4). Find l, given that 0 + 4/7*l**t - 4/7*l**4 - 4/7*l + 4/7*l**3 = 0.
-1, 0, 1
Let b(a) = -a**3 - 3*a**2 + 3*a + 11. Let l be b(-3). Factor 9*s**2 - 46*s - 19 - 7 + 4 + 0*s**3 - 35*s**2 - l*s**3.
-2*(s + 1)**2*(s + 11)
Let t be 113186/56576 + 12/4 + -5. Let p = 3345/28288 - t. Factor -12/17*l + p*l**2 + 0.
2*l*(l - 6)/17
Let a(v) = v**2 + 26*v - 507. Let o be a(-39). Let r(z) be the second derivative of 1/12*z**3 + o*z**2 - 19*z - 5/48*z**4 + 0 + 3/80*z**5. Factor r(g).
g*(g - 1)*(3*g - 2)/4
Let w(t) be the first derivative of -85*t**3 + 125/6*t**6 - 55/4*t**4 + 55*t**5 - 222 + 0*t - 45*t**2. Solve w(a) = 0.
-2, -3/5, 0, 1
Suppose 4*c + l - 8 = 0, 5*c + 1 = -3*l + 4. Let d be c/(15/23) - 27/45. Let -69*o - o**4 + 65*o - 7*o**d + 14*o**2 - 8*o**3 = 0. What is o?
-2, 0, 1/2
Let d(q) be the third derivative of -2*q**7/105 + 167*q**6/15 - 2392*q**5 + 542225*q**4/3 + 33459250*q**3/3 + 2*q**2 + 2496. Factor d(j).
-4*(j - 115)**3*(j + 11)
Suppose -851*d + 715 = -288 - 699. Factor 0 + 0*c + 5*c**3 + 1/3*c**5 + 9*c**d - 11/3*c**4.
c**2*(c - 9)*(c - 3)*(c + 1)/3
Let j be (-11 - -10 - (-16 + (-8646)/(-550)))/((-1)/5). What is y in j - 2/5*y**3 - 2*y**2 - 6/5*y = 0?
-3, 1
Let w(s) be the second derivative of -s**6/80 - 171*s**5/80 - 3465*s**4/32 - 3025*s**3/4 + 2*s + 1495. Let w(m) = 0. Calculate m.
-55, -4, 0
Let m = 7873 - 7867. Let z(q) be the first derivative of -1/12*q**3 - q + 1/20*q**5 + 2 + 5/16*q**4 - 1/24*q**m - q**2. Factor z(i).
-(i - 2)**2*(i + 1)**3/4
Let z(j) be the first derivative of -j**5/15 - 5*j**4/3 - 32*j**3/3 + 31*j**2 - 109. Let y(d) be the second derivative of z(d). Find u such that y(u) = 0.
-8, -2
Suppose -12*t + 11*t = 4*r - 47, -r + 9 = 3*t. Suppose r - 46 = -17*l. Factor 0*s - 5/2*s**l + 0.
-5*s**2/2
Suppose -15*z = -19*z + 16. Factor 7*a**3 - 8*a**3 + z*a**3 + 6*a - 9*a**2.
3*a*(a - 2)*(a - 1)
Factor -1938*f + 3*f**2 - 1767 - 174 + 0*f**2.
3*(f - 647)*(f + 1)
Let h(y) be the second derivative of -y**5/20 - 423*y**4/2 - 357858*y**3 - 302747868*y**2 - 229*y. Factor h(v).
-(v + 846)**3
Let n = 26791 + -26786. Le