) be the second derivative of u**6/90 + 7*u**5/20 + 109*u**4/36 + 53*u**3/6 + 35*u**2/3 + 6083*u. Determine f, given that n(f) = 0.
-14, -5, -1
Factor 1/2*z**2 + 2601/2 + 51*z.
(z + 51)**2/2
Let s(u) be the third derivative of u**6/210 + 32*u**5/105 + 4369*u**2. Factor s(h).
4*h**2*(h + 32)/7
Find s such that -39/4*s**2 - 3 + 3/4*s**4 - 49/4*s + 1/4*s**3 = 0.
-3, -1, -1/3, 4
Suppose -q + 4 = 0, 4*h = 2*q + 35 - 27. Factor -486/5*g**h - 144*g**2 - 32/15 - 448/15*g - 1296/5*g**3.
-2*(g + 2)*(9*g + 2)**3/15
Suppose 96*a = 23*a + 1168. Let u = 199 - 197. Factor a + 93*d**u + 7/2*d**4 + 80*d + 65/2*d**3.
(d + 1)*(d + 4)**2*(7*d + 2)/2
Let f(x) be the second derivative of -x**4/3 + 16*x**3/3 + 40*x**2 - 2150*x. Factor f(n).
-4*(n - 10)*(n + 2)
Let -5*n**4 + 1276*n**5 - 630*n**5 + 50*n**3 + 20*n**2 - 651*n**5 - 120*n = 0. What is n?
-3, -2, 0, 2
Let f = -9235044/17 + 543238. Suppose 0 - f*y**3 - 32/17*y - 16/17*y**2 = 0. What is y?
-4, 0
Let -5/2*b**2 - 169/2*b + 17 = 0. What is b?
-34, 1/5
Let t(x) be the third derivative of 1/30*x**6 + 0 - 65*x**2 + 0*x - 14/5*x**5 - 5488/3*x**3 + 98*x**4. Factor t(c).
4*(c - 14)**3
Let t(y) be the first derivative of 3*y**5/5 + 2973*y**4 + 5892486*y**3 + 5839453626*y**2 + 2893449271683*y + 2918. Solve t(w) = 0 for w.
-991
Let c(k) be the second derivative of 5/6*k**4 - 2/5*k**5 - k + 1/15*k**6 - 5 + 0*k**2 - 2/3*k**3. Find n such that c(n) = 0.
0, 1, 2
Let v = 8 - 6. Let l = 2527/15690 + -29/1046. Suppose -l*p**3 + 0 - 2/15*p + 4/15*p**v = 0. What is p?
0, 1
Let r(m) = -216*m**2 + 3*m + 65. Let w(f) = 43*f**2 + f - 14. Let j(g) = -2*r(g) - 11*w(g). Factor j(k).
-(k + 1)*(41*k - 24)
Let u be 2280/3420 + 4/6. Find c such that -11/3*c**2 + 8/3*c + u + c**3 = 0.
-1/3, 2
Factor -3/4*a**4 - 33*a**3 - 105*a + 141/4 + 207/2*a**2.
-3*(a - 1)**3*(a + 47)/4
Suppose -3174 = -398*c - 331*c + 2658. Determine t so that -18/5*t**2 - c + 1/5*t**3 - 52/5*t + 1/5*t**4 = 0.
-2, 5
Suppose i + 1 + 6 = -3*g, -3*i = -g - 19. Find j, given that 13*j**2 - 10*j**4 - 2*j**2 + j**i - 9*j**2 + 23*j**3 - 16*j**2 = 0.
0, 1, 2, 7
Suppose -5*j - 3783 + 698 = l, -3*l = 0. Let t = 1237/2 + j. Determine i, given that 0 + 1/2*i**2 - t*i = 0.
0, 3
Let s be 2*((0 - (-3)/2) + -1). Let d(y) = 8*y**2 + 2*y - 20. Let h(f) = f**2 - f - 2. Let t(m) = s*d(m) - 10*h(m). Find b such that t(b) = 0.
0, 6
Let w(p) be the first derivative of 10/3*p**3 - 5/2*p**2 + 0*p - 5/4*p**4 - 71. Determine h so that w(h) = 0.
0, 1
Let k(l) = 9*l**2 + 2*l - 1. Let f(p) = 2*p**3 + 82*p**2 - 22*p - 66. Let n(h) = -f(h) + 6*k(h). Factor n(r).
-2*(r - 2)*(r + 1)*(r + 15)
Let q(n) be the second derivative of 0*n**3 + 3*n - 1/12*n**4 - 1/60*n**5 + 0 - 11*n**2. Let k(d) be the first derivative of q(d). Let k(a) = 0. Calculate a.
-2, 0
Let z(n) = n**3 + 14*n**2 - n - 11. Let d = -46 + 32. Let g be z(d). Factor 21*x + 7*x**3 - 2*x**g - 20*x**2 - x.
5*x*(x - 2)**2
Let y(f) be the first derivative of 135*f + 1/5*f**5 + 7/2*f**4 - 53 + 81*f**2 + 24*f**3. Factor y(b).
(b + 3)**3*(b + 5)
Solve -10*s**2 + 0 + 0*s - 23/3*s**3 - 16/9*s**4 - 1/9*s**5 = 0.
-10, -3, 0
Factor 0 + 3/5*s**2 + 2412/5*s.
3*s*(s + 804)/5
Let b be 6/4 - (-93)/186. Let x be 8 + (-248)/64*b. Solve x*i**2 + 5/4*i + 0 = 0 for i.
-5, 0
Let c(k) be the first derivative of -k**4 - 500*k**3/3 - 492*k**2 + 2672. Factor c(w).
-4*w*(w + 2)*(w + 123)
Let t(o) be the second derivative of 0*o**2 - 4*o + 0*o**3 + 10 + 1/42*o**4. Factor t(l).
2*l**2/7
Suppose -39*s + 147*s - 232 + 39*s**2 - 35*s**2 = 0. Calculate s.
-29, 2
Suppose -129 = 24*x + 39. Let j be (-3 + -3 - x)/3. Factor j*h - 4/3*h**2 + 2 + 1/3*h**3.
(h - 3)*(h - 2)*(h + 1)/3
Let j(s) be the third derivative of -s**5/45 - 389*s**4/9 - 302642*s**3/9 + 1555*s**2. Determine d, given that j(d) = 0.
-389
Let r(d) be the first derivative of -17*d**3/9 + 392*d**2/3 - 92*d/3 - 2092. Factor r(p).
-(p - 46)*(17*p - 2)/3
Let k(q) be the first derivative of -q**5/30 + 29*q**4/6 - 2354*q**3/9 + 6496*q**2 - 75264*q - 2698. Solve k(c) = 0 for c.
16, 42
Let j(p) = -5*p**2 - 48*p - 39. Let h(d) = 83 - 26*d - 94 - 25*d - 6*d**2 - 29. Let a(c) = -4*h(c) + 5*j(c). Solve a(s) = 0 for s.
-35, -1
Let y(p) be the first derivative of 2*p**3/9 - 3*p**2 - 140*p/3 + 898. Factor y(o).
2*(o - 14)*(o + 5)/3
Let s(l) be the first derivative of l**4/22 - 16*l**3/33 - 137*l**2/11 + 288*l/11 + 7150. Factor s(r).
2*(r - 16)*(r - 1)*(r + 9)/11
Let y(c) be the third derivative of c**8/1176 + c**7/147 + c**6/105 - 791*c**2 - 2. Let y(d) = 0. Calculate d.
-4, -1, 0
Let z(r) be the first derivative of r**6/4 + 9*r**5/5 + 3*r**4 + 616. Factor z(w).
3*w**3*(w + 2)*(w + 4)/2
Solve 2/3*u**2 - 8/3 + 0*u = 0.
-2, 2
Let t(z) be the third derivative of -z**6/210 - 121*z**5/105 + z**4/42 + 242*z**3/21 - 3*z**2 + 141. Factor t(w).
-4*(w - 1)*(w + 1)*(w + 121)/7
Let h(s) = -11*s**2 + 2*s + 1. Let t(z) = -78*z**2 - 69*z + 177. Let o(m) = -21*h(m) + 3*t(m). Factor o(r).
-3*(r - 2)*(r + 85)
Let m(c) be the first derivative of -4*c**3/3 + 288*c**2 - 1699. Factor m(z).
-4*z*(z - 144)
Let b(q) = q**3 + 14*q**2 - 40*q - 20. Let t be b(16). What is k in -4*k**5 - 9*k + 0*k - 8*k**4 + 16*k**3 + 7028*k**2 - t*k**2 - 3*k = 0?
-3, -1, 0, 1
Suppose 0 = 3*v + 4*f - 37, -3*v - 2*f + 18 + 11 = 0. Suppose -v*b + 1717 - 611 = 0. Determine t so that -114 + 14*t - 93 + b - t**2 = 0.
7
Let c = 38138/31 - 1230. Let r = c + 7/93. Factor -1/6*b**4 + 2/3*b**2 - 1/3*b + r*b**3 - 1/2.
-(b - 3)*(b - 1)*(b + 1)**2/6
Let c be (((-36)/6)/12*0)/(-11 + 10). Let k(x) be the third derivative of 1/84*x**4 + 0*x**5 + c*x**3 + 0*x + 11 + x**2 - 1/420*x**6. Let k(y) = 0. What is y?
-1, 0, 1
Let w(o) = -57*o + 353. Let y be w(6). Let x = -9 + y. Factor 5/6*t**3 - 4/3*t**x - 1/6*t**4 + 2/3*t + 0.
-t*(t - 2)**2*(t - 1)/6
What is o in 249*o + 859178*o**2 - 859179*o**2 + 419 + 169*o = 0?
-1, 419
Let i = 364 + -359. Find n such that 5*n**2 - 40*n - i*n**4 + 20 - 4*n**2 + 3*n**2 + 10*n**3 + 11*n**2 = 0.
-2, 1, 2
Suppose -9*z = -34 - 137. Suppose -z*l = -24*l + 10. Factor 21*w**l - 6*w + 2 - 4*w**3 - 3*w**3 + 5*w**3 - 15*w**2.
-2*(w - 1)**3
Let q(h) = -h**3 - 20*h**2 + 98*h + 49. Let c be q(-24). Let f be 6/(-10)*(3 + -8). Determine k, given that -k**2 + c + 1/2*k**f - 1/2*k = 0.
-1, 1, 2
Let u = 99 - 96. Suppose -8*h = -u*k - 6*h + 30, 5*k - 50 = 3*h. Find o, given that -o**4 - 6*o**2 + k*o**4 - 6*o - 3 + 3*o**5 - 5*o + 2*o + 6*o**3 = 0.
-1, 1
Factor 0 + 103/3*u + 1/3*u**2.
u*(u + 103)/3
Suppose -743 - 313 = -88*t. Let g be t/(-27)*(-70)/140. Factor -g*u**2 + 8/3*u + 0.
-2*u*(u - 12)/9
Let l = -75 + 100. Suppose 0 = -4*n - 5 + l. Let o(b) = -583*b**2 - 136*b - 3. Let z(y) = -292*y**2 - 68*y - 1. Let a(k) = n*z(k) - 3*o(k). Factor a(f).
(17*f + 2)**2
Factor 1381/2*x - 829/3 + 5/6*x**2.
(x + 829)*(5*x - 2)/6
Suppose -2*f + 0 + 8 = 0. Solve 4*s + 43 - 47 - f*s + s**2 = 0 for s.
-2, 2
Let d(p) be the first derivative of p**5/90 + p**4/36 + 27*p**2/2 + p - 27. Let j(q) be the second derivative of d(q). Factor j(c).
2*c*(c + 1)/3
Factor 107/2*g - 27 - 26*g**2 - 1/2*g**3.
-(g - 1)**2*(g + 54)/2
Let y(d) be the second derivative of 0 - 8/33*d**3 - 1/66*d**4 + 20/11*d**2 - 56*d. Solve y(j) = 0.
-10, 2
Suppose 11*c - 123 = 273. Suppose -c = -29*q + 22. Factor 13/2*z**3 + 2*z**2 + 5/2*z**4 - q*z + 0.
z*(z + 1)*(z + 2)*(5*z - 2)/2
What is w in 42*w + 3238*w**2 - 1619*w**2 - 957*w - 1624*w**2 = 0?
-183, 0
Solve 237 + 5*x**3 - 77 + 56*x - 80*x + 43*x**2 + 17*x**2 + 204*x = 0 for x.
-8, -2
Suppose l + 1 = 4. Suppose 2*i - 4 = l*i. Let o(n) = -3*n**2 - 4*n - 6. Let z(u) = -7*u**2 - 8*u - 13. Let v(y) = i*z(y) + 10*o(y). Let v(s) = 0. What is s?
-2
Let u(j) be the third derivative of j**6/420 - 17*j**5/105 + 289*j**4/84 - 1179*j**2. Factor u(q).
2*q*(q - 17)**2/7
Let f(b) be the third derivative of -26/3*b**4 + 0*b + 53/210*b**5 + 676/21*b**3 - 1/420*b**6 + 2 - 40*b**2. Factor f(g).
-2*(g - 26)**2*(g - 1)/7
Solve -40/7*v - 8/7*v**4 + 10/7*v**3 + 8/7 + 30/7*v**2 = 0.
-2, 1/4, 1, 2
Let t(w) = -34*w - 32. Let o be t(3). Let z be (-603)/o*(-8)/(-18). Factor 5/3*q**z + 80/3 - 40/3*q.
5*(q - 4)**2/3
Let j(b) = -10940*b + 21883. Let s be j(2). Find o, given that 0 + s*o + 1/5*o**2 = 0.
-15, 0
Let d(l) = -30*l**2 - 2*l + 33. Let j(h) = 14*h**2 + h - 15. Let i(z) = 2*d(z) + 5*j(z). Determine t