= 0 for q.
-25, -2/13, 1
Let r(c) be the third derivative of 0*c**4 - 2*c**2 + 0*c**3 - 12*c + 1/840*c**7 + 0 - 1/80*c**5 - 1/240*c**6. Factor r(j).
j**2*(j - 3)*(j + 1)/4
Let w(m) be the second derivative of 3844*m**5/15 - 5146*m**4/3 + 331*m**3/6 - 2*m**2/3 + 11*m - 544. Factor w(l).
(l - 4)*(124*l - 1)**2/3
Suppose -i - 2*f - 21 = 0, -345 = -2*i - 3*f - 374. Solve 9*s**3 + 18/7*s - 27/7*s**4 + 3/7*s**i + 0 - 57/7*s**2 = 0 for s.
0, 1, 6
Let l = 405 + -801/2. Let c(n) = n**2 - 4*n - 18. Let p be c(-3). Factor -p + 0*g**2 + 3/2*g**3 - l*g.
3*(g - 2)*(g + 1)**2/2
Suppose -s + 13 + 21 = 0. Let o = -34 + s. Let -25 + 55*p - 5*p**3 + 5*p**3 + o*p**3 + 5*p**3 - 35*p**2 = 0. What is p?
1, 5
Determine m so that 1/2*m**3 + 0 - 5/2*m + 2*m**2 = 0.
-5, 0, 1
Suppose 6*w + 502 = 4*p + w, 4*w = -3*p + 361. Let y be ((-5)/(-10))/(2 - p/63). Factor 3*l**4 - 12*l**2 - 3 - 3*l**3 + 3/2*l**5 - y*l.
3*(l - 2)*(l + 1)**4/2
Let s be (20/14)/((6/(-315))/((-228)/3420)). Let -53/3*i**2 + 23*i**3 + 10/3*i - 7/3*i**s - 19/3*i**4 + 0 = 0. What is i?
-5, 0, 2/7, 1
Let o be ((-50)/(-7))/(19/5 - 26182/6916). Suppose -5/4*r**2 - 50*r - o = 0. Calculate r.
-20
Find f such that 2/11*f**2 - 152/11 + 150/11*f = 0.
-76, 1
Let g(f) = -597*f**2 + 683*f + 74. Let a(y) = 120*y**2 - 136*y - 14. Let j(k) = 16*a(k) + 3*g(k). Factor j(m).
(m - 1)*(129*m + 2)
Let b be (8/(-12))/((-8)/60). Factor -146*m + b - 5*m**4 + 10*m**3 + 71*m + 65*m.
-5*(m - 1)**3*(m + 1)
Let t(z) be the second derivative of 2*z**6/15 - 31*z**5/5 - 133*z**4/4 - 152*z**3/3 - 34*z**2 - 1453*z. Factor t(i).
(i - 34)*(i + 2)*(2*i + 1)**2
Let i(s) be the second derivative of -2 - 29/12*s**5 + 65/6*s**4 + 1/9*s**6 - 320/3*s**2 + 560/9*s**3 + 5*s. What is c in i(c) = 0?
-2, 1/2, 8
Let w(x) be the third derivative of 121*x**6/40 - 11*x**5 - 483*x**4/8 + 441*x**3 + 957*x**2. Find d, given that w(d) = 0.
-2, 21/11
Let s = -896699/1662 + 25/831. Let f = 541 + s. Determine a so that 0 - 1/2*a**3 + f*a - a**2 = 0.
-3, 0, 1
Determine b, given that 28*b + 76*b + 258 + 162*b**2 - 174*b + b**3 - 315*b - 36*b**2 = 0.
-129, 1, 2
Let q(w) = w**2 - 2808*w - 25351. Let d be q(-9). Determine b so that 6*b + 16/3 + d*b**2 + 1/6*b**3 = 0.
-8, -2
Let o(n) be the second derivative of -n**5/70 + 4*n**4/7 + 36*n**3/7 + 16*n**2 + 2541*n. Solve o(f) = 0 for f.
-2, 28
Let x be 4/(-594)*11*(2 + -38). Factor -1/6*c**2 + x - c.
-(c - 2)*(c + 8)/6
Let k(j) be the third derivative of j**4/12 + 10*j**3/3 + 7*j**2. Let y be k(-9). Determine f, given that 1 - 26*f**2 - 3*f**3 + 29*f**y - 1 = 0.
0, 1
Let m be (-6)/8*48/(-12). Factor 9*a**3 + 15*a**4 - 19*a**4 + 4*a**2 - 12*a + 3*a**m.
-4*a*(a - 3)*(a - 1)*(a + 1)
Suppose -p - 5*m + 2 = -10, -p - 2*m = -6. What is x in -47*x - 25*x - 76*x**2 - 18*x**3 + 20*x**p - 32 - 2*x**4 = 0?
-4, -2, -1
Suppose 108825*u - 108956*u = 0. Factor 128/13*a**2 + u*a - 2/13*a**5 - 160/13*a**3 + 0 + 34/13*a**4.
-2*a**2*(a - 8)**2*(a - 1)/13
Let r(z) be the third derivative of -z**5/180 - 7*z**4/144 + z**3/9 - 5254*z**2. Factor r(m).
-(m + 4)*(2*m - 1)/6
Let u = 2205674/3308493 - 4/1102831. Factor 2/3*d**4 + u*d**3 + 0 - 2/3*d - 2/3*d**2.
2*d*(d - 1)*(d + 1)**2/3
Suppose -46*n + 40 = -51*n. Let t be ((-6)/n)/(-16 + 131/8). Determine y so that 16/5*y**t + 20*y**5 + 0 + 4*y**4 - 64/5*y**3 + 0*y = 0.
-1, 0, 2/5
Let z(l) be the second derivative of 0*l**4 + 1/3600*l**6 - 7*l + 3*l**3 + 0*l**2 + 1/400*l**5 + 0. Let c(k) be the second derivative of z(k). Factor c(p).
p*(p + 3)/10
Let l(t) be the third derivative of t**5/360 + 23*t**4/18 + 61*t**3/12 + 7*t**2 - 17. Let l(f) = 0. Calculate f.
-183, -1
Factor 142/5*t**3 + 96*t**2 - 640*t - 12/5*t**4 + 0 - 2/5*t**5.
-2*t*(t - 5)**2*(t + 8)**2/5
Let x(c) = -5*c**3 - 2*c**2 - c - 1. Let n(a) = -22*a**3 - 85*a**2 - 151*a - 39. Let m(u) = 2*n(u) - 6*x(u). Factor m(r).
-2*(r + 2)*(r + 9)*(7*r + 2)
Let j be 245/20 - (-2)/(-8). Suppose 3*n - 19 = -2*d, -d - 4*n = -j - 10. What is v in -30*v**d + v**3 + 36*v**2 - 2*v**3 = 0?
0, 6
Let z = -1104566/7 - -158238. Let -32/7 + 500*c**4 + 600/7*c**2 + 16*c - z*c**3 = 0. What is c?
-1/5, 2/7, 2/5
Let c(s) be the first derivative of -1/2*s**4 + 6*s**3 - 9*s + 1/2*s**2 - 62 - 9/5*s**5 + 1/6*s**6. Factor c(v).
(v - 9)*(v - 1)**2*(v + 1)**2
Let d(l) be the first derivative of -4*l**3/3 - 2772*l**2 - 1920996*l + 1778. Find b, given that d(b) = 0.
-693
Let i = -43997/2 + 22001. Factor -31/6*x + i + 17/6*x**2 - 1/6*x**3.
-(x - 15)*(x - 1)**2/6
Let s(a) be the first derivative of 3*a**4/16 - 3*a**3/2 + 15*a**2/8 + 4953. Factor s(r).
3*r*(r - 5)*(r - 1)/4
Find m, given that 0 + 16/3*m**2 - 4/3*m**5 - 28/3*m**4 + 64/3*m - 16*m**3 = 0.
-4, -2, 0, 1
Factor -4/3*a**3 + 0 - 24*a + 12*a**2.
-4*a*(a - 6)*(a - 3)/3
Let k(a) be the second derivative of a**5/130 - a**4/26 - 3*a**3/13 - 5*a**2/13 + 9202*a. Suppose k(u) = 0. Calculate u.
-1, 5
Factor -3/2*p**3 + 62 - 185*p**2 + 249/2*p.
-(p - 1)*(p + 124)*(3*p + 1)/2
Find r, given that 0 - 1/6*r**2 - 409*r = 0.
-2454, 0
Let g(u) be the second derivative of -3 + 0*u**3 - 1/378*u**7 - 1/90*u**5 + 1/90*u**6 + 0*u**2 - 17*u + 0*u**4. Factor g(o).
-o**3*(o - 2)*(o - 1)/9
Let z(y) be the second derivative of y**4/15 - 16*y**3/5 - 58*y**2 + 1217*y - 2. Factor z(p).
4*(p - 29)*(p + 5)/5
Let w(n) be the first derivative of -n**4 - 712*n**3/3 + 358*n**2 + 1048. Factor w(h).
-4*h*(h - 1)*(h + 179)
Let z = -88 - -116. Let u be z/(-42)*(-27)/6. Determine x, given that -1/4*x + 1/4*x**u + 0*x**2 + 1/8*x**4 - 1/8 = 0.
-1, 1
Let m(c) be the third derivative of -c**6/72 + 17*c**5/12 - 64*c**3/3 + c**2 + 60. Let v(s) be the first derivative of m(s). Let v(g) = 0. What is g?
0, 34
Let l(m) be the first derivative of -m**3/3 + 70*m**2 + 284*m - 974. Factor l(a).
-(a - 142)*(a + 2)
Let s(k) = -9*k**2 + 12*k - 5. Let o(l) be the second derivative of 1/3*l**4 + l**2 + 9*l - l**3 + 0. Let h(m) = -5*o(m) - 2*s(m). Determine f so that h(f) = 0.
0, 3
Let u(p) be the third derivative of p**5/270 + 269*p**4/54 + 38*p**2 + 6*p + 4. Factor u(z).
2*z*(z + 538)/9
Suppose 4*o - 16 = -x, 0*x = o + 4*x - 19. Let s = 5 - o. Factor 2 + 1 + 0 - 1 - q**s - q.
-(q - 1)*(q + 2)
Let r(x) be the second derivative of x**4/18 + 17*x**3 - 310*x**2/3 - 1723*x. Factor r(h).
2*(h - 2)*(h + 155)/3
Let r(l) be the second derivative of l**8/280 + l**7/30 + 2*l**6/45 - 89*l**3/6 + l + 6. Let v(x) be the second derivative of r(x). Let v(o) = 0. Calculate o.
-4, -2/3, 0
Let h(b) = 26*b**2 - 7257*b + 837. Let w be h(279). Let -2/7*z**2 + w*z + 0 = 0. Calculate z.
0
Factor -110/7*n + 0 + 1/7*n**2.
n*(n - 110)/7
Factor 13744820 + 714*b**2 + 695*b**2 + 16580*b + 701*b**2 - 2105*b**2.
5*(b + 1658)**2
Factor 4364*v - 68*v**2 - 8912*v + 4472*v - 2*v**4 + 76*v**3 + 72 - 2*v**4.
-4*(v - 18)*(v - 1)**2*(v + 1)
Suppose 33 = b + c, -2*c = 5*b - 0*b - 150. Find t, given that -440 - b*t - 322 + 2*t**2 + 860 = 0.
7
Factor 103/3*z + 70 - 1/3*z**2.
-(z - 105)*(z + 2)/3
Let z(d) be the first derivative of -2*d**6/21 - 764*d**5/5 - 448894*d**4/7 - 5354680*d**3/21 - 2672002*d**2/7 - 1779556*d/7 - 7042. Factor z(m).
-4*(m + 1)**3*(m + 667)**2/7
Let w = -6044/539 + 594/49. Solve 2/11*k**5 - 20/11*k**2 - w*k**4 - 2/11 + 20/11*k**3 + 10/11*k = 0.
1
Let z be -2 - (-3 + (1 - 3)). Suppose -4*o + 6 = 3*u, -z*u - 5 = -o + 4. Determine j, given that -3/5*j**5 + 0*j + 3/5*j**2 + 9/5*j**4 - 9/5*j**o + 0 = 0.
0, 1
Let l(s) be the second derivative of -5*s**7/42 - 7*s**6/3 - 21*s**5/4 + 220*s**4/3 - 350*s**3/3 - 595*s + 1. Determine v so that l(v) = 0.
-10, -7, 0, 1, 2
Let j(q) = 2*q**2 - 6*q - 36. Let d be 1 + 3*16/(-12). Let f be j(d). Factor -3/2*z**3 + 3/2*z**4 - 1/2*z**5 + 0*z + 1/2*z**2 + f.
-z**2*(z - 1)**3/2
Factor -56/3*d**2 - 1/3*d**3 + 635/3*d - 550.
-(d - 5)**2*(d + 66)/3
Let u be -115*-5*(-33)/15*1. Let j be u/(-165) - (1 - -6). Solve j - 16/3*v**2 - 3*v**3 - 5/3*v = 0.
-1, 2/9
Let s(p) be the third derivative of -5/336*p**8 + 0*p - 35/8*p**4 + 1/4*p**6 + 55*p**2 - 15/2*p**3 + 0 - 5/6*p**5 + 1/14*p**7. Find l, given that s(l) = 0.
-1, 3
Let p(d) be the third derivative of 1/54*d**5 - 1/135*d**6 + 0 + 2*d - 1/54*d**4 + 4*d**2 + 0*d**3 + 1/945*d**7. Find r, given that p(r) = 0.
0, 1, 2
Let x(l) be the second derivative of l**7/28 - 12*l**6/5 - 9*l**5/20 + 37*l**4 - 387*l**3/4 + 108*l**2 - 2420*l