actor -5*a**3 - 23409 - 8129*a + 253*a**2 - 14974*a + 52*a**2 + 4*a**3.
-(a - 153)**2*(a + 1)
Let r(w) be the third derivative of -w**6/240 - 13*w**5/15 - 3*w**2 + 25*w + 1. Factor r(z).
-z**2*(z + 104)/2
Let f(y) = y**4 - 14*y**2 - 33*y - 20. Let w(a) = a**2 + a. Suppose -19*o - 10*o + 87 = 0. Let v(l) = o*w(l) - f(l). Factor v(m).
-(m - 5)*(m + 1)*(m + 2)**2
Let d(j) be the second derivative of j**5/20 - j**4/6 - j**3/3 - j**2/2 + 13*j. Let s be d(3). Let -4*b**3 + b + 3*b + b**s - b**2 = 0. What is b?
-1, 0, 1
Suppose 8*f - 35*f - 33129 = 0. Let c = 1229 + f. Factor 4/5 - 6/5*v + 2/5*v**c.
2*(v - 2)*(v - 1)/5
Let l(d) = -d**2 + 7*d - 2. Let k be l(0). Let h be 0/39*k/6. Factor h + 2/5*r + 2/5*r**3 + 4/5*r**2.
2*r*(r + 1)**2/5
Suppose -330 - 3/2*r**3 - 826*r - 995/2*r**2 = 0. What is r?
-330, -1, -2/3
Let g be 5/4*-42*20/(-1750). Let c(q) be the second derivative of 2*q**3 - 9*q**2 + 1/15*q**6 + 4/3*q**4 + 0 + 5*q - g*q**5. Factor c(y).
2*(y - 3)**2*(y - 1)*(y + 1)
Suppose -3*s = -9, 4*s - 15 = -4*i + 9. Find c such that 12*c + 2*c**4 + 12*c**2 - 3*c**4 - 2*c**4 - 3*c**i = 0.
-2, -1, 0, 2
Find t, given that 187*t**2 + t**5 - 59*t**2 - 57*t**2 - 61*t**2 + 8*t - 3*t**3 - 4*t**4 = 0.
-1, 0, 2, 4
Let o be (-10)/75 - (-224)/105. Determine a so that -5*a**2 - 2 - 7*a**o - 14*a - 2*a**3 - 6 - 4*a = 0.
-4, -1
Let k = -38 + 41. Let p = 14 - 10. Suppose 5*q**p + 0*q**4 + 14*q**k - 4*q**3 = 0. What is q?
-2, 0
Let c(l) be the second derivative of 2 + 3/4*l**4 + 1/56*l**7 - 3/40*l**5 - 3/40*l**6 - l**3 - 5*l + 0*l**2. Find k such that c(k) = 0.
-2, 0, 1, 2
Let x(a) be the first derivative of -2*a**6/21 + 24*a**5/35 - 12*a**4/7 + 40*a**3/21 - 6*a**2/7 + 616. Solve x(k) = 0 for k.
0, 1, 3
Let z(j) = -3*j**4 + 459*j**3 - 444*j**2 + 12*j. Let w(a) = -2*a**4 + 456*a**3 - 445*a**2 + 9*a. Let g(q) = 4*w(q) - 3*z(q). Determine u, given that g(u) = 0.
-448, 0, 1
Let t(z) = 2*z**2 - 9*z - 13. Let y be t(8). Suppose -y = -9*q + 47. Find g, given that 2710*g + q*g**3 - 6*g**5 - 3*g**4 + g**4 + 2*g**2 - 2714*g = 0.
-1, 0, 2/3, 1
Let q = -301490 - -904474/3. What is g in -4/3*g**3 - 3/2*g**2 + 5/6*g**4 + q*g + 2/3 = 0?
-1, -2/5, 1, 2
Let g = -219 - -222. Factor -11*o**3 - g*o**4 - 9*o - 211*o**2 - 37*o**3 + 19*o**2 + 9*o.
-3*o**2*(o + 8)**2
Let b(t) be the third derivative of -t**5/120 + 13*t**4/6 + 285*t**2. Factor b(x).
-x*(x - 104)/2
Let p(i) = -13*i**2 - 1555*i + 4784. Let g be p(3). Factor -2/3*w + 4/5 + 2/15*w**3 - 4/15*w**g.
2*(w - 3)*(w - 1)*(w + 2)/15
Let w be 2 + 2 - (0 + 1). Suppose -2*a + 5*l = -8 + 2, 4*a - 2*l - 12 = 0. Solve -3*q**a - q**2 + q**w + 3*q**5 + q**3 + q**4 - 2*q**5 = 0 for q.
-1, 0, 1
Let s(m) be the first derivative of 2*m**3 - 611*m**2/7 + 116*m/7 - 186. Find n such that s(n) = 0.
2/21, 29
Let u be -59 + (-4544)/(-80) - 18/(-5). Let -9/5*z**3 + 0 + 1/5*z**4 - u*z + 3*z**2 = 0. Calculate z.
0, 1, 7
Factor 1179/7*v - 589/7 - 591/7*v**2 + 1/7*v**3.
(v - 589)*(v - 1)**2/7
Suppose 3*p - 58 = -40. Suppose p*d = -2*d. Let 4/7*j**3 + 0*j - 8/7*j**2 + d - 4/7*j**5 + 8/7*j**4 = 0. What is j?
-1, 0, 1, 2
Let p be (14320/280 - 48)/11. Find u, given that 0 - p*u**5 - 80/7*u**3 + 0*u + 96/7*u**2 + 22/7*u**4 = 0.
0, 3, 4
Suppose 468*s - 1176 = 419*s. Suppose -1/6*b**2 - s - 4*b = 0. Calculate b.
-12
Let i(c) = 2*c**3 - 7*c**2 + 6*c - 9. Let g be i(3). Let o(y) be the first derivative of 27 + 0*y**2 + 8/3*y**3 - y**4 + g*y. Factor o(h).
-4*h**2*(h - 2)
Let j(h) be the third derivative of -7/48*h**4 + 50*h**2 + 0 + 1/480*h**6 - 13/240*h**5 + 0*h**3 + h. Factor j(v).
v*(v - 14)*(v + 1)/4
Let s(u) = u**3 - 14*u**2 - 19*u + 66. Let w be s(15). Let c be (7 - 36/5) + w/5. Solve -11/3*n**2 + 5/3*n + n**3 + c = 0.
-1/3, 1, 3
Let d(g) be the second derivative of g**5/70 - 39*g**4/14 + 1265*g**3/7 - 3025*g**2 + 323*g - 5. Factor d(s).
2*(s - 55)**2*(s - 7)/7
Let t(y) be the second derivative of 0 + 10*y**3 + 59*y - 1/6*y**6 - 175/12*y**4 + 90*y**2 - 3*y**5. Factor t(k).
-5*(k - 1)*(k + 1)*(k + 6)**2
Let z be (205/(-4))/(620/208 + -3). Suppose 2*w + 3*w - z = 0. Factor -w*m + 4*m**2 + 536*m - 3*m**2.
m*(m + 3)
Let m be 9/(-6) - 17225/(-4550). Factor m*a**2 + 0*a - 2/7*a**3 + 0.
-2*a**2*(a - 8)/7
Let r(j) be the first derivative of 0*j + 338/3*j**3 + 1/15*j**5 + 16 + 13/3*j**4 + 8*j**2. Let t(w) be the second derivative of r(w). Factor t(p).
4*(p + 13)**2
Let t(f) be the first derivative of f**6/90 - f**5/30 - 3*f**4/4 - 26*f**3/9 - 14*f**2/3 - 52*f + 70. Let y(n) be the first derivative of t(n). Factor y(c).
(c - 7)*(c + 1)*(c + 2)**2/3
Let q(d) = -2*d**3 + 12*d**2 + 10*d - 17. Let p be q(-7). Let n = -1183 + p. Solve 81/5 + 21/5*l**n - 3/5*l**5 + 81/5*l - 54/5*l**2 - 6*l**3 = 0 for l.
-1, 3
Solve -1832/15*c**3 + 0 - 2/15*c**5 - 1920*c + 832*c**2 + 104/15*c**4 = 0.
0, 6, 20
Let s(j) be the second derivative of j**5/160 + 37*j**4/96 + 61*j**3/12 + 87*j**2/4 + 2*j - 121. Let s(m) = 0. Calculate m.
-29, -6, -2
Let i(k) be the third derivative of -k**7/210 - 121*k**6/30 - 161*k**5/20 - 4081*k**2. Factor i(g).
-g**2*(g + 1)*(g + 483)
Suppose 5*y + 4*v = -54, -36 = -399*y + 397*y + 2*v. Let 3/2*g - 3/4*g**y + 6 = 0. What is g?
-2, 4
Let x(g) be the third derivative of g**5/390 - 5*g**4/39 + 17*g**3/13 + 1175*g**2. Factor x(v).
2*(v - 17)*(v - 3)/13
Let k(p) = -3*p**3 + 3*p**2 - 122*p - 120. Let x(r) = 65*r**3 - 65*r**2 + 2560*r + 2520. Let z(m) = 85*k(m) + 4*x(m). Factor z(c).
5*(c - 6)*(c + 1)*(c + 4)
Suppose -8*c + c = 13*c. Let a(z) be the third derivative of c + 1/150*z**5 + 2/15*z**3 + 1/20*z**4 + 0*z - 4*z**2. Factor a(j).
2*(j + 1)*(j + 2)/5
Factor -183 + 16381*h**3 - 432*h - 444*h**2 + 1063 - 16385*h**3.
-4*(h - 1)*(h + 2)*(h + 110)
Let g(f) = -25*f**3 + 69*f**2 + 15*f + 5. Let p(m) be the first derivative of -m**3/3 + 5*m - 223. Let d(t) = g(t) - p(t). Solve d(j) = 0 for j.
-1/5, 0, 3
Suppose 0 = 54*m - 52*m - 68. Suppose -71 - m*c + 48*c**2 + 1 - 31*c - 43*c**2 = 0. What is c?
-1, 14
Let u = 712 + -708. Determine s so that -424*s**2 + 3*s**u + 245*s**3 - 120 - 6*s**5 - 26*s**2 + 380*s - 63*s**4 + 10*s**5 + s**5 = 0.
1, 2, 6
Factor -70*l + 43*l**2 - 337 - 125*l**2 + 32*l**2 - 263 + 55*l**2.
5*(l - 20)*(l + 6)
Let z(o) be the first derivative of 95 - 15/2*o**2 - 5/3*o**3 - 10*o. Factor z(p).
-5*(p + 1)*(p + 2)
Let -12/13 + 106/13*d**2 + 86/13*d**3 + 18/13*d**4 + 2*d = 0. Calculate d.
-3, -1, 2/9
Let r(t) = 36*t**2 - 1560*t + 1588. Let s(m) = 7*m**2 - 313*m + 318. Let h(p) = -3*r(p) + 16*s(p). Factor h(x).
4*(x - 81)*(x - 1)
Let j(g) be the second derivative of -5/12*g**4 - 1/4*g**5 - 2 + 25/6*g**3 - 25*g - 15/2*g**2. Solve j(p) = 0 for p.
-3, 1
Let t(d) be the first derivative of 7*d**4/8 + 15*d**3 - 13*d**2/4 + 356. Let t(j) = 0. Calculate j.
-13, 0, 1/7
Let c = -219/65 - -3579/715. Let -14/11*p**5 + 24/11*p**3 + 0 + 8/11*p**2 - c*p**4 + 0*p = 0. Calculate p.
-2, -2/7, 0, 1
Suppose -78 = -3*f + 36*k, -490*k + 486*k - 8 = 0. Factor -12 - 3/5*n**f - 63/5*n.
-3*(n + 1)*(n + 20)/5
Let k(v) = 4*v**2 + 712*v - 716. Let m(a) = -6*a**2 - 1068*a + 1074. Let f(q) = -8*k(q) - 5*m(q). Factor f(l).
-2*(l - 1)*(l + 179)
Let z = 778 - 706. Let l be ((-10)/(-8))/(75/z). What is d in -12/5*d**2 - l*d**4 + 9*d**3 - 3*d**5 + 0 - 12/5*d = 0?
-2, -2/5, 0, 1
Let w = -18900 + 18924. Let b(j) be the first derivative of w - 1/12*j**3 - 81/4*j - 9/4*j**2. Solve b(q) = 0 for q.
-9
Let l(w) = 12*w**4 + 1512*w**3 - 2625*w**2 + 774*w + 381. Let s(v) = -v**3 - 4*v**2 - v. Let d(o) = -l(o) - 9*s(o). Find y, given that d(y) = 0.
-127, -1/4, 1
Solve 5*d**3 - 1479*d - 197*d**3 - 15138 + 189*d**3 + 156*d**2 = 0.
-6, 29
Suppose 434 - 2*n**3 + 2*n - 292*n**2 - 52*n**2 - 90 = 0. What is n?
-172, -1, 1
Let y(k) be the first derivative of -4*k**5/5 - 37*k**4 - 524*k**3 - 1870*k**2 - 2312*k - 1293. Let y(t) = 0. What is t?
-17, -2, -1
Let q(c) = -3*c**2 + 8*c + 17. Let b = -19 + 40. Let u(m) = -41*m + b*m**2 - 94*m - 290 + 29*m**2. Let p(v) = 35*q(v) + 2*u(v). Find z such that p(z) = 0.
-1, 3
Suppose -3*l = -t + 22, 0 = -5*l - t - 0*t - 42. Let m = 17 + l. Determine p so that -3*p**3 - 9 + 3*p**5 + m = 0.
-1, 0, 1
Let s(t) be the second derivative of 0*t**2 + 2/3*t**3 + 9/10*t**5 + 3/2*t**4 - 1/15*t**6 + 18 - 1/7*t**7 - 2*t. Solve s(v) = 0.
-1, -1/3, 0, 2
Let x be 4/((-16)/4) + 11. Suppose 4*o - x