**4 + 0 + 2/5*a**5 + 0*a + 4/5*a**g = 0.
-1, 0, 1, 2
Factor 26208 + 3*m**2 - 26096 - 345*m + 8*m.
(m - 112)*(3*m - 1)
Let y(n) be the second derivative of -n**8/16800 - n**7/6300 + n**6/360 - n**5/100 + 5*n**4/6 + 94*n + 2. Let r(t) be the third derivative of y(t). Factor r(z).
-2*(z - 1)**2*(z + 3)/5
Let z = 436 - 410. Let l be (32/z)/(-8)*(1 - 2). What is u in 0*u + 0 + l*u**4 + 0*u**2 - 2/13*u**3 = 0?
0, 1
Suppose 95*w - 19*w = -10*w + 172. Let s(u) be the second derivative of -u**w - 29*u - 7/120*u**5 + 0 + 1/8*u**4 + 10/9*u**3. Factor s(p).
-(p - 3)*(p + 2)*(7*p - 2)/6
Let f(z) be the third derivative of -z**6/420 - 59*z**5/210 + 5*z**4/7 - 9*z**2 + 40*z. Factor f(t).
-2*t*(t - 1)*(t + 60)/7
Let q(v) be the first derivative of 33/2*v**2 + 0*v + 146 + 10*v**3 - 3/4*v**4. What is f in q(f) = 0?
-1, 0, 11
Let f = 199 - 166. Let -19*w + 8*w**3 + 36 - 2*w - 3*w**4 + 4*w**3 - f*w**2 + 9*w**3 = 0. What is w?
-1, 1, 3, 4
Let b be (-12103)/70 - 6/(-20). Let f = b - -173. Solve -2*d**3 + 8/5*d - f*d**4 - 12/5*d**2 + 16/5 = 0.
-2, 1
Let t(l) be the third derivative of 67*l**2 - 1/66*l**4 + 0*l**3 + 1/1155*l**7 + 0 + 1/66*l**5 + 0*l - 1/165*l**6. Factor t(d).
2*d*(d - 2)*(d - 1)**2/11
Let o = 969 - 954. Let i(n) be the third derivative of 0 + 1/100*n**5 - o*n**2 - 1/20*n**4 - 3/10*n**3 + 0*n. Factor i(t).
3*(t - 3)*(t + 1)/5
Let c(x) be the third derivative of x**5/60 + 19*x**4/24 + 91*x**3/6 - 4*x**2 + 6*x. Let t be c(-8). Factor 2/3*p**t + 2/3 + 2*p + 2*p**2.
2*(p + 1)**3/3
Let u(k) = 5*k**3 - 23*k - 24. Let g(a) = -150*a - 182 - 139*a - 34 + 44*a**3 + 81*a. Let y(i) = -6*g(i) + 52*u(i). Factor y(f).
-4*(f - 4)*(f + 1)*(f + 3)
Let x be (-8)/(-4) + -10 + (-33783)/(-4224). Let u = 177423/7040 + x. Find v, given that -9/5*v**5 + 9/5 - 126/5*v**3 - 57/5*v + 57/5*v**4 + u*v**2 = 0.
1/3, 1, 3
Suppose -4/3*c - 20/3*c**2 + 80/3 + 1/3*c**3 = 0. Calculate c.
-2, 2, 20
Let g(n) be the first derivative of n**3 - 63*n**2 + 240*n - 1835. Find f such that g(f) = 0.
2, 40
Factor -3*w**2 - 158*w + 6*w**2 - 451 + 7 + 569*w + 30.
3*(w - 1)*(w + 138)
Let z(u) be the third derivative of u**8/168 - 13*u**7/21 + 61*u**6/60 + 193*u**5/30 - 31*u**4/6 - 128*u**3/3 + 1763*u**2. Determine k, given that z(k) = 0.
-1, 1, 2, 64
Suppose 2*z + 46 = 192. Let u = 138 + 416. What is q in -43*q + 5*q**2 - z*q + 26*q + u - 149 = 0?
9
Let z be (-18)/(-32) + 14 + 145/(-10). Let f(r) be the third derivative of 0 + 1/120*r**5 + 0*r + 12*r**2 - 1/3*r**3 + z*r**4. Factor f(h).
(h - 1)*(h + 4)/2
Let v = 4443923/5 - 888784. Let 9/5*k**2 + 3 + 27/5*k - v*k**3 = 0. What is k?
-1, 5
Suppose -8 = -5*m + 3*u + u, 0 = 2*u - 6. Let w be 10/(-55) - 1746/(-891). Let -w*x**m - 8/9*x**3 + 10/9*x**5 - 4/9 + 20/9*x**2 - 2/9*x = 0. Calculate x.
-1, -2/5, 1
Let w(t) = t**3 - 13*t**2 + 12*t + 24. Let f be w(14). Factor -394*l + 8 - 3*l**2 + 4*l**2 + f*l.
(l - 4)*(l - 2)
Let w be ((-7)/(-21) - 156/144)*16/(-90). Determine u, given that 0*u + 4/3*u**2 + 0 + w*u**3 = 0.
-10, 0
Let o(g) = 27*g**4 + 6*g**3 - 21*g**2 - 24*g + 12. Let u(h) = -6*h**4 - h**3 - h**2 - h. Let q(l) = -o(l) - 4*u(l). Factor q(r).
-(r - 3)*(r + 2)**2*(3*r - 1)
Determine a so that 750*a**3 + 748*a**3 + 750*a**3 + 747*a**3 + 5*a**2 - 48 + 94*a - 2997*a**3 = 0.
-6, 1/2, 8
Let o(g) = -4*g**3 + g**2 - g - 1. Let y(b) = 35*b**3 + 26*b**2 - 89*b + 73. Let r(c) = 36*o(c) + 4*y(c). Let r(j) = 0. What is j?
1, 2, 32
Let v(c) be the first derivative of -1/8*c**6 + 45 + 5/2*c**3 - 3/2*c**4 - 3/2*c**5 + 0*c + 27/8*c**2. Solve v(f) = 0.
-9, -1, 0, 1
Solve -88*d - 394*d**2 - 361*d**2 + 33746*d**4 - 67486*d**4 + 738*d + 100*d**3 + 33745*d**4 = 0 for d.
-26, 0, 1, 5
Let z(u) be the first derivative of -u**3/3 - 5*u**2/2 + 16*u - 4. Let d be z(-7). Factor -d - 3*w**2 + 0*w**2 + 3*w + 2.
-3*w*(w - 1)
Let k(b) be the second derivative of -b**5/4 + 5*b**4/12 + 435*b**3/2 + 7695*b**2/2 - 7*b + 638. Factor k(h).
-5*(h - 19)*(h + 9)**2
Let a(u) = 8*u**2 - 24*u + 16. Let b = 20 + -9. Let f(h) = -h + 15*h**2 - 36*h + 33 - b*h. Let d(r) = -7*a(r) + 4*f(r). Solve d(v) = 0.
1, 5
Determine d so that 8*d**2 + 168*d - 186/7*d**3 - 2/7*d**5 + 36/7*d**4 + 0 = 0.
-2, 0, 6, 7
Let l(h) be the first derivative of -h**4/2 - 60*h**3 + 279*h**2 + 11875. Factor l(f).
-2*f*(f - 3)*(f + 93)
Let f(q) = 1. Let b(s) = 2*s + 18. Let n(d) = -b(d) - f(d). Let k be n(-10). Let 0 + 4*c**3 + c - 3 - 5*c - k + 4*c**2 = 0. Calculate c.
-1, 1
Solve -361/2 - 48*p**2 + 1881/4*p + 5/4*p**3 = 0.
2/5, 19
Determine x so that 0 - 56/3*x**2 + 20/3*x**4 - 2/3*x**5 - 34/3*x**3 + 0*x = 0.
-1, 0, 4, 7
Let y = -1311 + 1362. Suppose -y*q + 24*q = -25*q. Let q*k**2 + 4/5*k**4 + 0*k - 4/5*k**3 + 0 = 0. Calculate k.
0, 1
Let a(h) = -2*h + 4. Let t(n) = -3*n + 14. Let m be t(4). Let l be a(m). Factor -o**3 - 310*o - 2 + 313*o + l*o**3.
-(o - 1)**2*(o + 2)
Let q(u) be the second derivative of -u**6/270 - u**5/20 - 23*u**4/108 - 5*u**3/18 + 3*u - 328. Factor q(f).
-f*(f + 1)*(f + 3)*(f + 5)/9
Let w(b) = -b**2 - 2*b + 19. Let y be w(3). Factor -15*d**4 + 0*d**y - 21*d**4 - 139*d**3 + 11*d**4 - 30*d**2 + 54*d**3.
-5*d**2*(d + 3)*(5*d + 2)
Let m(s) be the second derivative of 45*s + 1/12*s**4 + 5/2*s**2 - s**3 + 0. Find g such that m(g) = 0.
1, 5
Suppose 0 = 12*w + 7*w + 95. Let u(y) = 7*y + 37. Let f be u(w). Solve 4/3*c**f + 0*c**3 - 2/3 - 2/3*c**4 + 0*c = 0 for c.
-1, 1
Factor -154*y**2 - 362*y**2 - 78*y**2 + 214*y**2 - 1780 + 4*y**3 + 2156*y.
4*(y - 89)*(y - 5)*(y - 1)
Let s be 3/21*((-3255)/124 - -28). Find g, given that -s*g**2 - 5*g - 25 = 0.
-10
Let p(n) be the third derivative of 5/2*n**3 - 131*n**2 - 1/16*n**6 + 0*n - 1/40*n**5 + 43/48*n**4 + 1/420*n**7 + 0. What is b in p(b) = 0?
-1, 2, 15
Let q(s) = -s**3 + 12*s**2 + 65*s + 26. Let i be q(7). Factor i + 3/2*l**2 - 66*l.
3*(l - 22)**2/2
Suppose 1252*j - 60 = 1242*j. Find d, given that j*d**2 + 10*d - 2 - 4*d**2 - 4*d**2 + 4*d**2 + 14 = 0.
-3, -2
Solve 2/3*n**3 - 140 + 362/3*n + 56/3*n**2 = 0.
-15, -14, 1
Factor -87*d**3 - 1409*d**2 + 540*d**2 + 18*d**4 - 42*d + 602*d**2.
3*d*(d - 7)*(d + 2)*(6*d + 1)
Find o, given that -1252/3*o**3 + 340/3 + 1238/3*o + 14/3*o**5 - 164/3*o**4 - 176/3*o**2 = 0.
-5, -1, -2/7, 1, 17
Determine o, given that 10/7*o**3 - 52/7*o**2 - 128*o - 2112/7 = 0.
-4, 66/5
Let n(w) be the first derivative of 27*w**5 + 159*w**4/4 - 742*w**3/9 - 74*w**2/3 + 8*w/3 - 5546. Determine x so that n(x) = 0.
-2, -2/9, 2/45, 1
Determine u, given that -1/5*u**3 - 28 - 167/5*u - 28/5*u**2 = 0.
-20, -7, -1
Suppose -3*o - 30 = -5*o + 4*t, -5*o + t = -30. Suppose -4*k - 2 = o*v, -61*v = 5*k - 66*v - 20. Factor 0*b + 4/3*b**k + 0 + 1/3*b**3.
b**2*(b + 4)/3
Let f(n) be the third derivative of 2*n**7/35 + n**6/15 - 39*n**5/40 + 9*n**4/4 - 15*n**3/2 + 88*n**2. Let b(k) be the first derivative of f(k). Factor b(w).
3*(w + 2)*(4*w - 3)**2
Let w(j) = -9*j**2 + 211*j - 2926. Suppose -14*a + 72 = -32*a. Let u(l) = 8*l**2 - 212*l + 2924. Let o(k) = a*w(k) - 5*u(k). Determine y so that o(y) = 0.
27
Suppose 4*w - 2*h - 2 = 0, -198 + 200 = -2*w + 2*h. Let d(s) be the first derivative of -36 + 1/4*s**4 + 9/2*s**w + 4*s + 2*s**3. Factor d(p).
(p + 1)**2*(p + 4)
Find n such that -4/9*n**4 + 296/3*n**2 - 196/3 + 194/3*n**3 - 878/9*n = 0.
-2, -1/2, 1, 147
Let m(n) be the third derivative of n**7/168 - 23*n**6/24 + 705*n**5/16 + 115*n**4/24 - 2645*n**3/6 - 79*n**2 + n. Determine f, given that m(f) = 0.
-1, 1, 46
Let d(t) = 1323*t**2 - 502*t + 46. Let m(u) be the first derivative of -1764*u**3 + 2007*u**2/2 - 183*u + 44. Let b(r) = 9*d(r) + 2*m(r). Factor b(a).
3*(21*a - 4)**2
Suppose -4*p = -0*p + 12. Let m be 5/((-160)/(-5228)) - p. Solve -363/8*c - 1/8*c**3 + m + 33/8*c**2 = 0 for c.
11
Let c(b) be the second derivative of b**5/240 - b**4/32 - b**3/6 - 24*b**2 - 28*b. Let z(x) be the first derivative of c(x). Let z(t) = 0. What is t?
-1, 4
Suppose -18*y - 22*y = -47*y + 28. Factor -64/7 + 12/7*x**2 - 2*x**3 + 64/7*x + 2/7*x**y.
2*(x - 4)**2*(x - 1)*(x + 2)/7
Let h(s) be the first derivative of 3*s**5/35 + 3*s**4/4 + 17*s**3/7 + 51*s**2/14 + 18*s/7 - 5487. Factor h(f).
3*(f + 1)**2*(f + 2)*(f + 3)/7
Let s(o) be the second derivative of 17*o**7/1470 - 11*o**6/280 - o**5/210 - 21*o**2/2 - 89*o. Let r(q) be the first derivative of s(q). Factor r(t).
t**2*(t - 2)*(17*t + 1)