n**2/9 - 1344. Factor b(f).
2*f*(f - 125)**2*(f - 1)/9
Let n = 28559/477650 + 2/9553. Let a(p) be the second derivative of 3/5*p**2 + 0 + 3*p + 1/5*p**3 - 1/10*p**4 - n*p**5. Find v such that a(v) = 0.
-1, 1
Let u(i) be the third derivative of i**7/105 + 2*i**6/15 - 17*i**5/10 - 259*i**4/6 - 784*i**3/3 - 1089*i**2. Solve u(p) = 0.
-7, -2, 8
Let l(a) be the third derivative of 0 - 1/200*a**6 - 7*a**2 + 1/100*a**5 - 1/350*a**7 - 6*a + 0*a**3 + 1/40*a**4. Factor l(g).
-3*g*(g - 1)*(g + 1)**2/5
Let k = -1365904/3 + 455368. Suppose -14*u**4 - 184/3*u**2 - k*u + 362/3*u**3 + 64/3 = 0. Calculate u.
-2/3, 2/7, 1, 8
Factor 35 - 139 - 28 - 2*m**3 - 5703*m + 5437*m - 136*m**2.
-2*(m + 1)**2*(m + 66)
Let t(p) be the second derivative of -p**5/5 - 224*p**4/3 - 3488*p**3/3 - 6912*p**2 + 88*p + 10. Let t(m) = 0. What is m?
-216, -4
Let u(g) = -7*g - 4. Let j be u(-4). Suppose 3*y = -5*y + j. Factor 8*s**2 - s**4 - 2*s**2 - 10*s + y*s**4 + 10*s**3 - 8.
2*(s - 1)*(s + 1)**2*(s + 4)
Suppose -7*x + c - 7 = 0, 4*x + 13*c = 16*c - 21. Factor x*w + 2/5*w**3 + 0 - 1/5*w**4 - 1/5*w**2.
-w**2*(w - 1)**2/5
Let m(n) = n**2 + 2*n - 6. Let q be m(-4). Determine a so that -28 + 54*a**3 - 312*a + 141*a**3 - 8 - 621*a**q + 48*a**3 = 0.
-2/9, 3
Let v(k) be the first derivative of -k**4/12 - 2*k**3/9 + 2*k**2/3 + 8*k/3 - 734. Factor v(c).
-(c - 2)*(c + 2)**2/3
Let u = -192888 + 152960280/793. Let f = u + 2/61. Solve 4/13*m**2 + 0*m + f*m**3 + 0 = 0.
-2, 0
Let l(w) be the second derivative of 1/27*w**3 + 1/270*w**6 + 0*w**2 - 1/60*w**5 - 5*w + 1/378*w**7 - 1/108*w**4 - 4. Solve l(n) = 0.
-2, -1, 0, 1
Let f(r) be the second derivative of -r**4/12 + 392*r**3/3 + 3132*r. Factor f(i).
-i*(i - 784)
Let q(c) be the second derivative of c**6/660 + 3*c**5/110 - c**4/6 - 106*c**2 - 15*c - 1. Let p(d) be the first derivative of q(d). Factor p(m).
2*m*(m - 2)*(m + 11)/11
Let f(k) be the first derivative of k**3/18 - 11*k**2/12 + 5*k/3 - 1573. Determine v, given that f(v) = 0.
1, 10
Let y be (-4)/((24/15)/(-2)). Let j be -3 + 4/(-2) + y - -3. Solve 0*s - 8/9*s**2 - 2/3*s**5 - 22/9*s**4 + 0 - 8/3*s**j = 0 for s.
-2, -1, -2/3, 0
Let j(w) be the third derivative of w**8/1344 - 5*w**7/84 - w**4/12 + w**3/2 - 102*w**2. Let q(n) be the second derivative of j(n). Solve q(c) = 0 for c.
0, 30
Let m = 196 - 196. Suppose m = 7*p + 39 - 60. Find j such that 0*j**2 + 1/2*j + 0 - 1/2*j**p = 0.
-1, 0, 1
Let y(z) be the first derivative of -1/270*z**5 + 0*z + 31 + 4/27*z**3 + 0*z**4 - 7/2*z**2. Let n(x) be the second derivative of y(x). Let n(p) = 0. What is p?
-2, 2
Let w(g) = -g**2 + 22*g + 27. Let m be w(23). Let 227 - 10 + 32*o**3 - 384*o + 92 + m*o**4 + 267 - 32*o**2 = 0. Calculate o.
-6, 2
Suppose 1637 = -1971*j + 884*j + 2882 + 3103. Factor 0*x + 16/7*x**j + 8/7*x**3 + 0*x**2 + 0 - 10/7*x**5.
-2*x**3*(x - 2)*(5*x + 2)/7
Let v be (-30)/(-6)*(-10 + 11). Let u(g) be the second derivative of 0 + 0*g**3 - 11*g + 0*g**v + 0*g**2 - 5/12*g**4 + 1/6*g**6. Let u(k) = 0. What is k?
-1, 0, 1
Let f(j) be the third derivative of j**5/12 - 35*j**4/4 + 200*j**3/3 + j**2 + 87*j. Suppose f(r) = 0. What is r?
2, 40
Let b(z) be the third derivative of 0*z**3 + 0 + 0*z**5 + 0*z + 0*z**7 - 5/336*z**8 + 0*z**4 - 93*z**2 + 1/24*z**6. Find g, given that b(g) = 0.
-1, 0, 1
Determine z, given that 3/7*z**3 - 345/7 + 261/7*z + 81/7*z**2 = 0.
-23, -5, 1
Let u(b) = -4*b**3 - 26*b**2 - 198*b - 12. Let x(v) = -13*v**3 - 77*v**2 - 592*v - 38. Let j(h) = 19*u(h) - 6*x(h). Let j(n) = 0. What is n?
-5, 0, 21
Let d(q) = -4390*q - 302907. Let i be d(-69). Factor -1/5*j**4 + 5*j**i + 24/5 - 5*j - 23/5*j**2.
-(j - 24)*(j - 1)**2*(j + 1)/5
Factor -145161/2 - 1/2*p**2 - 381*p.
-(p + 381)**2/2
Let z(o) be the third derivative of o**8/1512 - o**7/189 + 7*o**6/540 - o**5/90 + 868*o**2. Factor z(d).
2*d**2*(d - 3)*(d - 1)**2/9
Let k be (-3332)/5880 - 3/(-5). Let y(m) be the second derivative of -m**2 - 3/20*m**5 + k*m**6 + 1/2*m**3 - 13*m + 1/12*m**4 + 0. Solve y(a) = 0.
-1, 1, 2
Let d = 285035/320634 - 3/35626. What is n in -28/9*n**2 + 46/9*n**3 + 0 - 10/9*n - d*n**4 = 0?
-1/4, 0, 1, 5
What is t in 10/3*t + 1/3*t**2 - 48 = 0?
-18, 8
Let z = 49 + -45. Suppose -4 + 6*d**2 - z*d**2 + 0*d**2 - d**2 = 0. What is d?
-2, 2
Suppose 2*f - 5 + 28 = 3*m, 8 = 3*f + 4*m. Let y be f/(-16)*-2 + (3 - 2). Factor -y*s**4 - 1/2*s + 0 - 3/2*s**2 - 3/2*s**3.
-s*(s + 1)**3/2
Let k = 49692 - 49688. What is b in 0 - 1/4*b**5 + 1/2*b**k + 0*b**3 - 1/2*b**2 + 1/4*b = 0?
-1, 0, 1
Let r(y) be the second derivative of 1/28*y**4 + 1/14*y**3 - 3/7*y**2 - 29*y + 0. What is c in r(c) = 0?
-2, 1
Let i(h) be the second derivative of 51*h**5/20 - 3*h**4/14 + 2324*h. Factor i(p).
3*p**2*(119*p - 6)/7
Let f(w) = 4*w**2 + 4*w - 4. Let q(k) be the first derivative of k**4/4 + k**3 + 2*k**2 - 3*k - 45. Let x(z) = 5*f(z) - 4*q(z). Factor x(v).
-4*(v - 2)*(v - 1)*(v + 1)
Let u(s) be the third derivative of s**8/560 + s**7/35 - 67*s**6/100 - 308*s**5/25 + 1573*s**4/40 + 1331*s**3/5 - 1221*s**2 - 2*s. Let u(x) = 0. What is x?
-11, -1, 2, 11
Let y(k) be the second derivative of -k**5/50 + 5*k**4/6 + 28*k**3/15 - 52*k**2/5 + 2*k + 340. Determine q, given that y(q) = 0.
-2, 1, 26
Factor 484/3*g - 14/3*g**2 - 384.
-2*(g - 32)*(7*g - 18)/3
Let n be (-116)/10 + (-1260)/(-105). Suppose -n*l**2 - 4/5*l + 6 = 0. Calculate l.
-5, 3
Let o(z) be the second derivative of z**6/20 + 45*z**5/4 + 5917*z**4/8 + 5475*z**3 + 15987*z**2 - 4011*z. Determine i so that o(i) = 0.
-73, -2
Let t(l) be the first derivative of -l**7/600 + 2*l**6/225 + 13*l**5/150 - 2*l**4/15 - 19*l**3/3 + 60. Let u(v) be the third derivative of t(v). Factor u(f).
-(f - 4)*(f + 2)*(7*f - 2)/5
Let h(a) = 16*a**2 - 9*a - 13. Let g be h(-5). Factor 15*c**3 + 58*c**2 + g*c**4 - 8*c**2 - 437*c**4.
-5*c**2*(c - 5)*(c + 2)
Let a = 11845587/14945 - 36/2989. Let k = a - 791. What is d in k*d + 1/5*d**3 - 6/5*d**2 + 0 = 0?
0, 2, 4
Let r = -18871301/11 + 1715573. Factor -19/11*h**2 + r*h**3 + 16/11 + 2*h.
(h - 8)*(h - 2)*(2*h + 1)/11
Let w(y) = -y**5 + 5*y**4 - 13*y**2 + 8*y + 33. Let a(o) = 3*o**5 - 15*o**4 + o**3 + 39*o**2 - 24*o - 92. Let b(g) = 3*a(g) + 8*w(g). Factor b(s).
(s - 3)*(s - 2)**2*(s + 1)**2
Let g(w) be the first derivative of -w**6/72 - 7*w**5/12 - 5*w**4 + 10*w**3 - 158. Let p(q) be the third derivative of g(q). Factor p(x).
-5*(x + 2)*(x + 12)
Let y be -1*8/6*(-1275)/34. Let f be 16/10 + -2 + 95/y. Factor -f*w - 9/4 - 1/4*w**2.
-(w + 3)**2/4
Suppose -9*z + 11*z = -4*j + 32, -2*j = 24*z - 292. Determine m, given that 0 + 1/2*m**j - 19/2*m = 0.
0, 19
Let n(k) be the third derivative of -k**7/1050 + k**6/1200 - 3*k**4/8 - 21*k**2 + 4. Let s(b) be the second derivative of n(b). Suppose s(j) = 0. What is j?
0, 1/4
Let d(f) be the first derivative of -3/22*f**4 - 28/33*f**3 + 72/11*f - 3/11*f**2 - 69. Factor d(l).
-2*(l + 3)**2*(3*l - 4)/11
Find d such that 158 - 215*d + 409*d**2 - 204*d**2 + 55*d - 203*d**2 = 0.
1, 79
Let q = -56329 - -56329. Let -g**3 + q - 1/2*g**4 + 1/2*g**2 + g = 0. Calculate g.
-2, -1, 0, 1
Let v(p) be the second derivative of p**7/84 - p**6/15 - 3*p**5/4 + 25*p**4/6 + 125*p**3/12 + 2923*p. Factor v(a).
a*(a - 5)**2*(a + 1)*(a + 5)/2
Let u(h) = h**3 + 9*h**2 + 16*h - 18. Let s be u(-6). Let j be ((-2)/((-72)/(-6)))/(3/s). Factor j*d**4 + 1/3*d - 1/3*d**3 + 2/3 - d**2.
(d - 2)*(d - 1)*(d + 1)**2/3
Let y(g) be the third derivative of -g**5/100 - 883*g**4/10 - 1559378*g**3/5 + 2*g**2 - 2*g - 140. Determine b so that y(b) = 0.
-1766
Solve -54*u**2 - u**3 - 4*u**2 - 24 - 13*u + 68*u**2 = 0.
-1, 3, 8
Let b(i) = -26*i**3 - i**2. Suppose 6*u - 5*u + 1 = 0. Let j be b(u). Factor 7 + j*d - 10*d - 3*d**2 - 15 - 10.
-3*(d - 3)*(d - 2)
Let c(d) be the third derivative of -7/8*d**4 + 2*d**3 + 0*d - 1/10*d**5 + 1/5*d**6 - 1/112*d**8 + 0 - 1/35*d**7 - 280*d**2. Factor c(v).
-3*(v - 1)**3*(v + 1)*(v + 4)
Let w = -1060 - -730. Let d = w + 334. Determine y, given that 7/3*y**3 + 2/3 + y - d*y**2 = 0.
-2/7, 1
Let -1/3*q**4 + 58/3*q**3 + 841/3 - 280*q**2 - 58/3*q = 0. What is q?
-1, 1, 29
Factor -540*o + 130*o**2 + 122*o**2 + 1944 - 352*o**2 + 3*o**3 + 118*o**2.
3*(o - 6)**2*(o + 18)
Let b = -4382 - -4385. Let g(z) be the first derivative of -5/3*z**3 - b*z - 23 - 7/2*z**2 - 1/4*z**4. Factor g(i).
-(i + 1)**2*(i + 3)
What 