 Determine s so that p(s) = 0.
-13, -2
Let k(v) be the third derivative of 3 + 5/72*v**4 + 0*v + 2*v**2 - 2*v**3 + 1/180*v**5. Let k(j) = 0. What is j?
-9, 4
Let u(f) be the second derivative of f**5/5 + 298*f**4/3 - 7543*f. Factor u(h).
4*h**2*(h + 298)
Let s be ((-520)/78*(-27)/6)/2. Let u(n) be the first derivative of 1/8*n**4 - 1/4*n**2 - s - n + 1/3*n**3. Factor u(w).
(w - 1)*(w + 1)*(w + 2)/2
Let z be -43 - (-57 - (-7 + -2)). What is f in 11/4*f**4 + f**5 - 23/2*f**2 - 11/4*f**3 + 2 - z*f = 0?
-2, -1, 1/4, 2
Let x(v) = 2662*v**2 - 135*v - 53 - 79*v - 39*v + v + 43. Let i(l) = 887*l**2 - 84*l - 3. Let u(f) = -16*i(f) + 5*x(f). Factor u(p).
-2*(21*p - 1)**2
Factor -3192*c**2 - c**4 + 6*c + 2622*c**2 - 67*c**3 - 6*c.
-c**2*(c + 10)*(c + 57)
Solve 68*h**4 + 172*h**2 - 240*h + 195*h**3 - 60*h**3 + 99*h**3 + 0*h**5 + 6*h**5 = 0.
-5, -4, -3, 0, 2/3
Solve -1/4*q**5 + 363555/4*q**2 + 280908 - 399/4*q**4 - 37971/4*q**3 - 278154*q = 0 for q.
-204, 3
Let z(s) be the second derivative of s**5/16 - 245*s**4/3 - 3935*s**3/6 - 1970*s**2 - 202*s - 4. Factor z(t).
5*(t - 788)*(t + 2)**2/4
Let p be (3/(-7))/((-155)/((-5966415)/(-702))). Find b such that -1/6*b**3 + 103823/6 - 2209/2*b + p*b**2 = 0.
47
Suppose -221*q - 48 = -209*q. Let g be q*(-30)/180*(-18)/(-4). Solve -14/17*u**4 + 6/17*u**g + 16/17*u**2 - 8/17*u + 4/17*u**5 + 0 = 0.
-1, 0, 1/2, 2
Let w(k) = 6*k**4 + k**3 - 4*k**2 - 4*k + 4. Let p(j) = j**4 + j**2 + 1. Suppose -9 = -5*x + q, -3*x + 0*q + 4*q = -19. Let s(v) = x*w(v) - 4*p(v). Factor s(n).
n*(n - 2)*(n + 2)*(2*n + 1)
Factor -12114151 - 5535*n + 4321*n**2 - 1147099 - 4323*n**2 - 4765*n.
-2*(n + 2575)**2
Suppose 2560 = -5*z + 15*z. Suppose -244*y = -z*y + 36. Determine p so that 4/5 + 18/5*p + 12/5*p**4 - 28/5*p**y - 16/5*p**2 + 2*p**5 = 0.
-2, -1, -1/5, 1
Let m be ((14364/2025)/(-38))/((-22)/330). Factor -m - 16/5*c - 2/5*c**2.
-2*(c + 1)*(c + 7)/5
Suppose 66 = 9*o - 123. Let a be (15/o*3)/((-192)/(-168)). Find u, given that -3/8*u**2 + a*u**3 - 9/8*u**4 + 0 - 3/8*u = 0.
-1/3, 0, 1
Let s = -1/250671 - -557049/584899. Suppose 64/21*l**2 - s*l**3 + 2/21*l**4 + 10/7 - 76/21*l = 0. Calculate l.
1, 3, 5
Let c be -3*(-117)/108 + (-126)/56. Determine u, given that 5/9*u**2 - 1/3*u - c - 1/9*u**3 = 0.
-1, 3
Suppose -25 = -8*n + 7. Let q(s) = -8*s**2 - 52*s - 148. Let k(w) = -17*w**2 - 105*w - 297. Let v(r) = n*k(r) - 9*q(r). Factor v(z).
4*(z + 6)**2
What is r in -210 + 25/2*r**2 - 505/2*r = 0?
-4/5, 21
Suppose 4*c = -2*h + 2014, -3*h + 827 = 4*c - 1190. Suppose -a + c = -533. Find f such that 12 + 1080*f**2 - a*f**2 - 60*f + 8 = 0.
2/3
Let l = 48999/196028 + 2/49007. Factor -l*d**3 + 0*d + 0 - 3/2*d**2.
-d**2*(d + 6)/4
Let m(f) be the second derivative of 91*f + 64/5*f**2 + 1/30*f**4 + 0 - 13/3*f**3. Factor m(t).
2*(t - 64)*(t - 1)/5
Suppose -181*u + 27 = -182*u - 4*n, -u - 7*n - 51 = 0. Factor 0 + 0*i + 2/3*i**3 + 4/9*i**2 + 0*i**4 - 2/9*i**u.
-2*i**2*(i - 2)*(i + 1)**2/9
Factor -3/4*t**3 + 30*t**2 + 756 - 279*t.
-3*(t - 28)*(t - 6)**2/4
Suppose -320*b**3 + 102399/2*b**2 + 320*b - 51200 + 1/2*b**4 = 0. What is b?
-1, 1, 320
Solve 245/2*i**4 + 695*i - 2385/2*i**2 + 260 - 1505*i**3 = 0.
-1, -2/7, 4/7, 13
Let p(w) be the first derivative of 1/22*w**4 + 54 + 14/33*w**3 + 4/11*w**2 - 24/11*w. Factor p(d).
2*(d - 1)*(d + 2)*(d + 6)/11
Suppose 892 + 334 = 613*q. Determine y, given that -2/7*y**3 + 2/7*y**4 + 2/7*y + 12/7 - 2*y**q = 0.
-2, -1, 1, 3
Let o = -3632/69 - -18298/345. Determine p so that p - o + 7/5*p**2 = 0.
-1, 2/7
Let d(m) be the second derivative of m**6/900 + m**5/60 + m**4/10 + 5*m**3 + 70*m. Let s(n) be the second derivative of d(n). Factor s(t).
2*(t + 2)*(t + 3)/5
Let d(c) = c**2 - 8*c - 46. Let g be d(12). Suppose -3*v - g*v = -10. Factor 65*s**2 - 129*s**2 + 66*s**v + 4*s.
2*s*(s + 2)
Let k be (129/(-6))/(6/(-84)). Solve -34*v**3 + 10*v**4 - 552*v - 12 + 2*v**2 + 285*v + k*v = 0 for v.
-1, 2/5, 1, 3
Let k = 17 - 15. Suppose -o = m - 2*m + 45, -2*m - o = -99. Suppose 121*y**3 - 4936*y**2 + 279*y**4 - 476*y**3 + 5137*y**k - m*y - 81*y**5 + 4 = 0. Calculate y.
2/9, 1
Let d(p) be the second derivative of p**6/15 + 4*p**5/35 - 47*p**4/42 - 4*p**3/7 + 36*p**2/7 - 2191*p. Suppose d(f) = 0. What is f?
-3, -1, 6/7, 2
Determine n so that 55/3*n**3 + 1/3*n**4 + 0 + 243*n + 261*n**2 = 0.
-27, -1, 0
Factor -570 - 3/5*f**2 + 63*f.
-3*(f - 95)*(f - 10)/5
What is i in -6551268/19*i**3 - 2611456/19*i - 16174/19*i**4 - 9146560/19*i**2 - 10/19*i**5 + 0 = 0?
-808, -1, -2/5, 0
Determine x so that 1943*x**2 + 4816 + 2928 + 2*x**4 - x**4 + 1415*x**2 + 174*x**3 - 15312*x + 4035*x**2 = 0.
-88, 1
Let g = -3/13516 + 13525/40548. Let z(v) = v**2 - 1. Let w be z(-2). Factor -11/9*a**2 - g*a**w - 4/9 - 4/3*a.
-(a + 1)*(a + 2)*(3*a + 2)/9
Let h(a) = a**4 - a - 1. Let q(p) be the first derivative of -1/3*p**3 + 4/5*p**5 + 16 - 5/2*p**2 - 5*p - 1/2*p**4. Let c(d) = 5*h(d) - q(d). Factor c(v).
v**2*(v + 1)**2
Let v(g) = g**2 - 6*g - 104. Let i be v(12). Let s be ((-3)/3)/(8/i). Find d such that -3/4*d**3 + 3/4*d + 3/4*d**s + 0 - 3/4*d**2 = 0.
-1, 0, 1
Suppose 12 = 3*b + b. Let s = -882 + 902. What is c in -s + 2*c**2 + 3*c - b*c + 3*c**2 = 0?
-2, 2
Let l = -56 + 37. Let h = l - -22. Solve -i**5 + i**2 - 1 + 1 - 99*i**4 + 98*i**4 + i**h = 0 for i.
-1, 0, 1
Let b(i) be the first derivative of 4*i**3/3 + 802*i**2 - 1608*i - 5609. Solve b(j) = 0 for j.
-402, 1
Find h, given that 2/3*h**3 - 21 - 41*h**2 - 188/3*h = 0.
-1, -1/2, 63
Let k = -9211/15 + 3077/5. What is b in -k*b**3 - 44/9*b**2 + 16/9 - 32/9*b = 0?
-2, 1/3
Let x = -230247/7 - -32893. Find b such that -100/7 - x*b**2 - 40/7*b = 0.
-5
Let y be -6 + 39820/5775 + (-2)/(-4). Let x = 27/14 - y. Solve 0 - x*w**4 + 0*w + 8/15*w**5 + 2/15*w**2 - 2/15*w**3 = 0.
-1/2, 0, 1/2, 1
Let q = 109870/9 + -12207. Let a(c) be the first derivative of -37 - 4/9*c**2 + q*c + 1/27*c**3. Factor a(f).
(f - 7)*(f - 1)/9
Let a(k) be the first derivative of k**7/1960 + 3*k**6/140 + 33*k**5/280 + 2*k**4/7 - 173*k**3/3 + 124. Let b(g) be the third derivative of a(g). Factor b(c).
3*(c + 1)**2*(c + 16)/7
Let o(q) be the first derivative of q**6/3 + 4178*q**5/15 + 60668*q**4 + 26912*q**3 + 4298. Find c, given that o(c) = 0.
-348, -1/3, 0
Let y = -356 - -328. Let n be (y/770)/(3/(-15)). Factor n - 2/11*d**2 + 0*d.
-2*(d - 1)*(d + 1)/11
Let k be (28 + (12 - 40))/((-6)/3). Let m be 4/(-18) + (-29)/(-9). Solve -1/6*u**4 + 0*u**2 - 1/6*u**5 + k*u + 0*u**m + 0 = 0 for u.
-1, 0
Let y = -40705/11 - -3701. Let o be 2/(-2*(-1)/4). Determine l so that -6/11*l**2 + 2/11*l**3 + 2/11*l**5 + 0 - 4/11*l + y*l**o = 0.
-2, -1, 0, 1
Suppose -141*y + 574 = 10. Let z(j) be the third derivative of 4/15*j**5 + 0 - 1/60*j**6 + 0*j**3 - 14*j**2 - 4/3*j**y + 0*j. Factor z(t).
-2*t*(t - 4)**2
Let n(r) = -16*r**3 + 97*r**2 + 280*r + 149. Let z(q) = 2*q**3 - q**2 - 1. Let o(k) = 2*n(k) + 10*z(k). Factor o(d).
-4*(d - 18)*(d + 2)*(3*d + 2)
Suppose 5*d + 36 - 51 = 0. Solve 5*a**3 + 8*a**3 + 54*a**4 - a + 9*a**d - 22*a**3 + 81*a**5 - 6*a**2 = 0.
-1/3, 0, 1/3
Let d be (5 - 3) + 0/(-2). Let 1156 + 246*q - 537*q - 423*q - d*q**3 + 72*q**2 = 0. What is q?
2, 17
Factor -14404*o - 7*o**2 - 14690*o - 23328000 + 2*o**2 + 7494*o.
-5*(o + 2160)**2
Let a = 35096 + -35093. Let l(j) be the second derivative of 1/10*j**4 + 1/25*j**6 - 6/5*j**a + 6/25*j**5 + 0*j**2 + 42*j + 0. Factor l(v).
6*v*(v - 1)*(v + 2)*(v + 3)/5
Let r(i) be the first derivative of -2/33*i**3 - 24 + 1/11*i**2 + 12/11*i. Factor r(l).
-2*(l - 3)*(l + 2)/11
Factor 566*n**2 + 588*n**2 - 1150*n**2 + 556*n.
4*n*(n + 139)
Let t(s) be the first derivative of 3*s**5/35 - 27*s**4/28 - 12*s**3/7 + 30*s**2/7 + 917. Factor t(y).
3*y*(y - 10)*(y - 1)*(y + 2)/7
Let l = 52561 + -52436. Factor 25*h - 5/4*h**2 - l.
-5*(h - 10)**2/4
Let f(r) be the second derivative of -3/10*r**4 + 16/5*r**2 + 2/5*r**3 + r + 1/50*r**5 + 29. Factor f(k).
2*(k - 8)*(k - 2)*(k + 1)/5
Suppose 6*q - 3*n + 4 = 5*q, -2*q - 4 = -4*n. Find c such that -30*c**3 - 264*c**4 + 5*c**3 + 10*c**q + 40*c + 535*c**4 - 266*c**4 = 0.
-1, 0, 2, 4
Let j(r) be the first derivative of r**6/21 + 12*r**5/35 - 18*r**4/7 + 80*r**3/21 - 862. What is d in j(d) = 0?
-10, 0, 2
Let i(h) be the first derivative of -h**4/8 + 7*h**2 - 24*h + 14409. Factor i(b).
-(b - 4)*(b - 2)*(b 