*5 + 597*p. Factor y(m).
-5*m**3*(m + 1)*(m + 8)
Let h(n) be the third derivative of n**6/600 - 41*n**5/300 + 23*n**4/12 + 136*n**3/15 + 5846*n**2. Solve h(s) = 0 for s.
-1, 8, 34
Let c(u) be the third derivative of -1/60*u**5 + 0*u + 35/96*u**4 - 207*u**2 + 0 + 3/8*u**3. Solve c(o) = 0.
-1/4, 9
Let o(z) be the second derivative of z**6/50 + 13*z**5/100 - 59*z**4/60 - 7*z**3/10 + 68*z - 1. Find m, given that o(m) = 0.
-7, -1/3, 0, 3
Factor 0 - 1/2*h**4 - h**2 - 3/2*h**3 + 0*h.
-h**2*(h + 1)*(h + 2)/2
Let v be (-4 - (-11 + -8)) + 303/(-21). Factor 0 - 92/7*b**2 - v*b**4 - 44/7*b - 52/7*b**3.
-4*b*(b + 1)**2*(b + 11)/7
Let n(c) be the first derivative of -5*c**4/4 - 65*c**3 - 1995*c**2/2 - 1805*c - 2359. Let n(m) = 0. What is m?
-19, -1
Let p(q) = -2*q**3 + 4*q**2 - 8*q + 6. Suppose -101 = -22*m - 79. Let n be p(m). Determine y, given that 0*y**2 + 3*y**4 - 1/2*y**5 + 0*y**3 + n*y + 0 = 0.
0, 6
Let w(o) be the first derivative of -8*o**3/9 + 13*o**2/3 + 232*o/3 + 1536. Factor w(d).
-2*(d + 4)*(4*d - 29)/3
Let f(m) be the second derivative of 19/100*m**5 + 8/15*m**3 - 27 + 7/150*m**6 + 1/210*m**7 + 5/12*m**4 + 2/5*m**2 - 4*m. Factor f(v).
(v + 1)**3*(v + 2)**2/5
Let u(a) = 25*a**2 + 1073*a. Let m(t) = 3*t**2 + 134*t. Let j(x) = 51*m(x) - 6*u(x). Factor j(g).
3*g*(g + 132)
Suppose 0 = 2*l - 17 - 13. Let z be 16/(-40) + (-6)/l*-1. Suppose 3*x**2 - 14*x + 8 - 13*x + z*x + 2*x = 0. What is x?
1/3, 8
Let d(q) be the first derivative of -2*q**3/45 + 76*q**2/15 + 154*q/15 - 2285. Determine a so that d(a) = 0.
-1, 77
Let w(p) = 15*p + 5. Let z(r) = 8*r + 3. Let l(o) = -3*w(o) + 5*z(o). Let f be l(-8). Factor -3*y**2 + 2*y**2 - 21*y**4 - 18*y**4 + f*y**4.
y**2*(y - 1)*(y + 1)
Let b(w) be the first derivative of -w**4/4 - w**3 + 11*w**2 + 24*w - 2360. Let b(a) = 0. Calculate a.
-6, -1, 4
Let j = -41 + 47. Suppose -c - 3*z = -14, 8 - j = -c + z. Solve 0*u + 0 - 6/13*u**c - 2/13*u**3 = 0 for u.
-3, 0
Suppose -j = 5*c + 102, c + c + 4*j = -48. Let d be (1 + 10/c)*0. What is l in 2/7*l - 2/7*l**3 + d*l**2 + 0 = 0?
-1, 0, 1
Let y be (-4974)/(-4145) + 6/(-5). Factor 0 + 0*x**3 + 0*x - 1/2*x**4 + y*x**2.
-x**4/2
What is k in 34989/8*k**3 + 34347/8*k**2 + 3/8*k**5 + 0*k + 0 + 645/8*k**4 = 0?
-107, -1, 0
Let o = -1394/207 + 526/69. Let -1/9*x**4 - 4/9*x**3 - o + 10/9*x + 1/3*x**2 = 0. What is x?
-4, -2, 1
Let s(i) = -i**3 - i**2 - 2*i - 13. Let t be s(0). Let u(a) = a + 15. Let l be u(t). Factor -2*b**3 - 7*b**3 + b**3 - 5*b**l - 7*b**3 + 10*b.
-5*b*(b + 1)*(3*b - 2)
Let i = 128881/295 + -2184/5. Let s = 173/649 - i. Solve -16/11*a**3 - s*a**4 - 48/11*a - 4*a**2 - 18/11 = 0.
-3, -1
Let t(r) be the first derivative of r**4/18 + 74*r**3/27 - 250*r**2/9 + 688*r/9 - 2316. Find v, given that t(v) = 0.
-43, 2, 4
Let 5*b**3 + 23*b**4 - 49*b**5 + 120*b**2 - 23*b**4 - 5*b**2 + 4 + 31*b - 119*b**4 + 13*b = 0. What is b?
-2, -1, -2/7, -1/7, 1
Let b = 690/1417 + 1210155/2834. Suppose -675 + 3/2*w**3 + b*w - 48*w**2 = 0. Calculate w.
2, 15
Let c be 4*(-2)/84*-3. Let i(y) = -801*y - 61677. Let b be i(-77). Factor b*h**2 - c*h + 0 + 2/7*h**3.
2*h*(h - 1)*(h + 1)/7
Let k(r) be the first derivative of -16 - 11/160*r**5 + 0*r + 3/320*r**6 + 3/32*r**4 + 3*r**2 + 0*r**3. Let q(v) be the second derivative of k(v). Factor q(m).
3*m*(m - 3)*(3*m - 2)/8
Let f be 40/140 + (-164)/(-14). Factor -100*i**3 + 36*i**3 + 8*i**2 + f*i**2 - 8*i**2.
-4*i**2*(16*i - 3)
Let a be -7*-6*14/49. Let i = -18 - -28. Factor 14*v + 28*v + a*v + 4*v**5 + 100*v**2 + 16 + 76*v**3 + i*v + 28*v**4.
4*(v + 1)**3*(v + 2)**2
Let o(f) be the second derivative of 0 + 2*f**6 - 5*f**4 + 5/42*f**7 + 12*f + 35/4*f**5 - 30*f**3 + 0*f**2. Factor o(m).
5*m*(m - 1)*(m + 1)*(m + 6)**2
Suppose 2*k + 6*m = 30, 2*k - 122*m + 117*m = -14. Let x(c) be the first derivative of 3/7*c**4 + 10/7*c**2 - 8/7*c**k - 2/35*c**5 - 2 - 6/7*c. Factor x(l).
-2*(l - 3)*(l - 1)**3/7
Factor 2*d**3 + 446/7*d + 180/7 - 640/7*d**2.
2*(d - 45)*(d - 1)*(7*d + 2)/7
Let w(i) be the second derivative of i**6/24 - 7*i**5/12 - 25*i**4/24 - 67*i**3/6 - 29*i. Let q(h) be the second derivative of w(h). What is y in q(y) = 0?
-1/3, 5
Suppose 0 = 5*c - 45 + 25. Suppose -c*k + s + 21 = 0, 5*k + s = 3*s + 30. Let -3*z**3 + 0*z**k + 11*z**4 + 5*z**4 - 9*z**3 - 4*z**5 = 0. Calculate z.
0, 1, 3
Find k, given that 380*k**3 - 12*k**2 - 2*k**4 - 3*k**5 - 359*k**3 - 4*k**4 = 0.
-4, 0, 1
Suppose -89 = -u - 2*w, 349 = -0*u + 4*u + w. Factor 2*m**2 - 316 + 210 + 32*m + 147 + u.
2*(m + 8)**2
Let b(a) be the second derivative of 46/9*a**3 - 2 + 44/3*a**2 + 1/9*a**4 + 77*a. Factor b(w).
4*(w + 1)*(w + 22)/3
Let g(p) = -p**3 + 2*p**2 - 4*p - 4. Let k(j) = 8*j**3 - 3423*j**2 - 2896767*j + 2900245. Let d(x) = 9*g(x) + k(x). Factor d(i).
-(i - 1)*(i + 1703)**2
Let w = -6/39485 - -197437/78970. Factor w + 5/4*q**2 + 15/4*q.
5*(q + 1)*(q + 2)/4
Suppose g - 6*g + 19*g = 7*g. Let x(n) be the third derivative of -1/60*n**5 - 1/3*n**3 + g*n - 1/8*n**4 - 6*n**2 + 0. Determine z so that x(z) = 0.
-2, -1
Let w(v) be the second derivative of v**6/20 - 9*v**5/8 + 27*v**4/8 - 13*v**3/4 - 902*v + 3. Factor w(s).
3*s*(s - 13)*(s - 1)**2/2
Let 2/13*y**3 + 58/13*y**2 + 0 - 60/13*y = 0. Calculate y.
-30, 0, 1
Suppose 768/7*o + 60/7*o**3 + 4/7*o**4 + 1408/7 - 584/7*o**2 = 0. What is o?
-22, -1, 4
Let h(j) be the second derivative of j**6/30 - j**4/12 + 1324*j. Factor h(t).
t**2*(t - 1)*(t + 1)
Let u = -87 + 99. Let -12*l**2 - 625 - u*l**2 + 23*l**2 + 50*l = 0. Calculate l.
25
Let p(d) = 4*d**2 - 140*d + 341. Let o(t) = t**2 - 12*t + 1. Let r(k) = -5*o(k) + p(k). Suppose r(w) = 0. Calculate w.
-84, 4
Let h = 151 - 146. What is p in 219 + 10*p**3 - 219 - 10*p + 4*p**4 + p**4 - h*p**2 = 0?
-2, -1, 0, 1
Suppose 18 = 4*b + 5*x - 3*x, 4*x - 21 = -3*b. Factor 6*j**3 - 24*j**2 + 27 - 30*j + 24*j**b - 3*j**4 + 0*j**3.
-3*(j - 9)*(j - 1)**2*(j + 1)
Let h(y) be the second derivative of -1/30*y**5 + 82*y + 1/54*y**4 + 1/9*y**3 - 1/9*y**2 + 0. Solve h(i) = 0 for i.
-1, 1/3, 1
Let w(y) = -2*y**2 - 9*y + 6. Let z(f) = 4*f**2 + 19*f - 10. Suppose -18 = -49*o + 43*o. Let m(p) = o*z(p) + 5*w(p). Suppose m(a) = 0. Calculate a.
-6, 0
Let h(v) be the first derivative of 19/9*v**3 - 37/3*v**2 + 84 - 8/3*v. Factor h(q).
(q - 4)*(19*q + 2)/3
Suppose -2 = 3*j + 13. Let y(h) = 4*h**3 - 4*h**2 - 16*h. Let r(v) = -3*v**3 + 3*v**2 + 10*v. Let o(i) = j*y(i) - 8*r(i). Determine u, given that o(u) = 0.
0, 1
Let h(q) be the second derivative of -3*q**5/80 + 1419*q**4/4 - 1342374*q**3 + 2539771608*q**2 - 2*q - 2078. Solve h(a) = 0.
1892
Let w(y) = y + 17. Let d be w(10). Let a = d + -25. Factor -4 + 1 + 3*t**a + 10 - 15*t + 5.
3*(t - 4)*(t - 1)
Let i be ((-443852)/222)/((-14)/(-9)). Let p = -1285 - i. Factor -2/7*k**2 + 12/7 + p*k.
-2*(k - 3)*(k + 2)/7
Let n(h) be the second derivative of -68*h + 3/25*h**5 - 1/15*h**4 + 0 + 1/105*h**7 + 1/15*h**6 - 7/15*h**3 - 3/5*h**2. Let n(t) = 0. What is t?
-3, -1, 1
Find o, given that -100 - 1/3*o**3 + 49/3*o**2 + 56/3*o = 0.
-3, 2, 50
Let i(j) = -j**2 - 90*j + 576. Let s be i(6). Let r(d) be the third derivative of 1/150*d**5 + 0*d**3 - 1/300*d**6 + 0*d + s + 0*d**4 - 19*d**2. Factor r(z).
-2*z**2*(z - 1)/5
Let i = -1492/57 - -6025/228. Determine y so that i*y**4 - 5/2*y + 2*y**2 - 9/4 + 5/2*y**3 = 0.
-9, -1, 1
Let d(z) be the first derivative of 0*z**4 + 2/25*z**5 + 0*z**3 - 2/15*z**6 + 131 + 0*z**2 + 0*z. Factor d(y).
-2*y**4*(2*y - 1)/5
Let q = -109576 + 109578. Suppose 2/11*d**5 + 10/11*d**3 - 10/11*d**q + 0 - 12/11*d + 10/11*d**4 = 0. Calculate d.
-3, -2, -1, 0, 1
Factor 142*s - 1751 - 1738 + 0*s**3 + 144*s**2 + 3489 + 2*s**3.
2*s*(s + 1)*(s + 71)
Suppose 0 = 14*i - 55*i - 3690. Let c = 723/8 + i. Suppose -9/8*q**2 - 3/4*q - c*q**3 + 0 = 0. Calculate q.
-2, -1, 0
Let j be 2/24*216/(-702)*(45/(-10) + -2). Find y such that y - 3/2 - j*y**2 = 0.
3
Suppose 13/5*f**3 + 7/5*f**4 - 16/5*f - 2*f**2 + 0 = 0. Calculate f.
-2, -1, 0, 8/7
Let a(b) be the first derivative of b**2 - 6*b + 9. Let v be a(4). Suppose 2*q**5 + 2*q**3 - 2*q**5 - v*q**5 - 4*q**4 - 4*q**3 = 0. What is q?
-1, 0
Let r be (-1 + 0)/((-3)/81) + 3. Suppose 0 = -5*t - 5*t + r. Let -3*i**2 - i - 24*i**3 + 3*i + 25*i**t = 0. What is i?
0, 1, 2
Let j(b) be the first derivative of 11*b**8/672 + 3*b**7/140 - b**6/120 - 18*b**2 - 7. L