20*p - 5 - 3 + 18*p**2 + p**3 - 17 - 5*p. Let c be h(-17). Determine d, given that -c*d**2 - d**4 + 6*d**4 - 6*d**2 - 8*d - 2*d = 0.
-1, 0, 2
Let w = 907871 - 907869. Find x, given that 189/4*x**5 - 141/4*x**3 - 111/2*x**4 + 111/2*x**w - 12*x + 0 = 0.
-1, 0, 2/7, 8/9, 1
Let m be (-14)/(504/18)*((-20)/65 - 0). Factor 2/13*o**3 + 6/13*o**2 - 6/13 - m*o.
2*(o - 1)*(o + 1)*(o + 3)/13
Let w(t) be the second derivative of 5/12*t**4 + 98*t + 23/10*t**2 - 2 - 1/100*t**5 - 47/30*t**3. Factor w(c).
-(c - 23)*(c - 1)**2/5
Let f = 604 - 602. Factor -4*z**5 + 17*z**3 - 16*z**f + 8*z**2 - 13*z**3 - 4*z**4 + 4*z**2 + 8*z**2.
-4*z**2*(z - 1)*(z + 1)**2
Factor 86*w**2 + 6*w - 106*w + 550 + 77*w**2 - 165*w**2.
-2*(w - 5)*(w + 55)
Suppose 22*w - 2*w - 1360 = 0. What is a in w - 64*a**3 + 20*a**2 + 29*a**4 + 8*a + 7*a**4 - 68 = 0?
-2/9, 0, 1
Suppose 15*f = 30*f - 975. What is d in f*d - 1535 + d**3 + 812 + 14*d**2 + 823 = 0?
-5, -4
Let l(r) be the first derivative of 0*r + 3/5*r**2 + 1/5*r**3 - 116 - 3/20*r**4. Solve l(i) = 0.
-1, 0, 2
Let z(v) be the third derivative of -1/4*v**4 + 24*v + 0*v**3 + 1/60*v**5 + 0 + v**2. Factor z(o).
o*(o - 6)
Factor -4*z**5 - 390*z**4 - 190*z**3 - 71209*z - 137*z**3 - 71*z**5 + 468*z**2 + 71101*z.
-3*z*(z + 3)**2*(5*z - 2)**2
Suppose 0 = -4*i - 5*j + 12, 5*i - 15 = -3*j - 0*j. Determine f, given that 11*f**2 - 7*f**2 - 31*f**2 - 50*f**i - 2*f**4 - 21*f**2 = 0.
-24, -1, 0
Suppose -806*n = 346*n + 155*n. Factor 0*l + n - 1/2*l**2 + 1/4*l**3.
l**2*(l - 2)/4
Let g = -1612442/147 - -10969. Let m(x) be the second derivative of 0*x**3 + 24*x - g*x**7 - 6/35*x**5 - 2/35*x**6 - 4/21*x**4 + 0*x**2 + 0. Factor m(l).
-2*l**2*(l + 2)**3/7
Suppose 36*h - 36346 = -36202. Factor -20/3*x**2 - 35/6*x - 5/3 + 5/3*x**h + 5/6*x**5 - 5/3*x**3.
5*(x - 2)*(x + 1)**4/6
Let h be (17 + -14)/(10/32). Let m = 94077/3670 + -25/734. Factor m*p - 36/5*p**3 + 12*p**2 + h.
-4*(p - 3)*(3*p + 2)**2/5
Let v(f) = -2*f**3 - f**2 + 3*f + 1. Let n(b) = 11*b**3 - 179*b**2 + 2484*b + 9212. Let a(g) = -n(g) - 4*v(g). Factor a(u).
-3*(u - 32)**2*(u + 3)
Let d be ((-90)/(-25))/((-10080)/(-1400)). What is x in 4*x + 6 + d*x**2 = 0?
-6, -2
Let b(h) be the third derivative of -1/2016*h**8 + 16*h**2 + 1/40*h**5 - 1/1260*h**7 + 0*h**3 + 1/48*h**6 + 2*h - 3/8*h**4 + 0. Solve b(p) = 0 for p.
-3, 0, 2, 3
Let p(q) be the third derivative of -q**8/1512 + q**7/105 + 19*q**6/90 + 35*q**5/27 + 133*q**4/36 + 17*q**3/3 + 802*q**2 + 3. Find k such that p(k) = 0.
-3, -1, 17
Let q(y) be the third derivative of -y**9/40320 - y**8/1920 - y**7/560 - 11*y**5/60 - 10*y**2 + 2. Let n(c) be the third derivative of q(c). Factor n(o).
-3*o*(o + 1)*(o + 6)/2
Let q(a) be the first derivative of a**5/40 - 7*a**3/12 + 3*a**2/2 + 115*a - 12. Let d(g) be the first derivative of q(g). Factor d(c).
(c - 2)*(c - 1)*(c + 3)/2
Let r be (1 - 2/1)*-2. Let x be -53*(-2)/2 + (-114 - -106). Suppose 22*k - 5*k**r - x + 14*k - 16*k + 10*k = 0. What is k?
3
Let r be (-194 + 193)/(0 - (0 + -1)). Let d(i) = -2*i**2 - 103*i - 12. Let n(c) = c + 4. Let q(o) = r*d(o) - 3*n(o). Factor q(h).
2*h*(h + 50)
Suppose -435 + 1905 = -7*n. Let u = 631/3 + n. Find f such that -2 + 1/3*f**2 + u*f = 0.
-3, 2
Determine q, given that 0*q + 0 - 2/13*q**3 + 0*q**2 + 4/13*q**4 - 2/13*q**5 = 0.
0, 1
Solve 56312*h - 17*h**2 + 4*h**2 - 56313*h + 13 + h**3 = 0 for h.
-1, 1, 13
Let f be ((53 - 30) + -29)/(0 - (-6)/(-3)). Factor -3*l + 5/4*l**f - 2*l**2 + 0 + 1/4*l**4.
l*(l - 2)*(l + 1)*(l + 6)/4
Suppose -3*r + 9 = -4*u - 0, 5*r - 15 = -2*u. Suppose -38*q**3 + 193*q**2 - 29*q**2 + 17*q**r + 17*q**3 = 0. Calculate q.
0, 41
Solve 95*d**2 - 587*d**3 - 35*d**4 + 5*d**5 + 64*d + 602*d**3 - 60 - 84*d = 0 for d.
-1, 1, 2, 6
Let v be (-4369)/(-357) - 648/1134. Factor 1/3*o**2 - v*o - 74/3.
(o - 37)*(o + 2)/3
Let m(j) = -75*j - 5. Let q(p) = 6 - 8*p**2 + 74*p - 11*p**2 + 18*p**2. Let i(s) = 6*m(s) + 5*q(s). Solve i(h) = 0.
-16, 0
Suppose -5*f + 4*w = 5*w - 33, 3*f - 19 = -w. Let o be ((-6)/(-11))/((-450)/66 + f). Find q, given that -5/3*q**2 + 1/3*q**o + 0 + 4/3*q = 0.
0, 1, 4
Let r = 33/149 - 197/2235. Let h(b) be the second derivative of -12*b + r*b**3 - 1/30*b**4 + 3/5*b**2 + 0. Factor h(a).
-2*(a - 3)*(a + 1)/5
Let m = 403400 + -403400. Let v be 2/(-7) - 2/(-7). Solve 3/5*i**5 + 0*i**4 - 3/5*i**3 + m + v*i**2 + 0*i = 0 for i.
-1, 0, 1
Let h be (-9)/(-2) - (-3 + 63/14). Determine j, given that 3*j**5 + 6288*j**3 + 9*j**4 - 6288*j**h = 0.
-3, 0
Let k be 4/(-10) - 3852/(-30). Determine h, given that k*h - 304*h - 832*h + 56*h**3 - 2051 - 4*h**4 - 52*h**2 + 755 = 0.
-2, 9
Suppose 0 = -671*l + 719*l. Let f(v) be the first derivative of -v**4 - 4*v**3 - 2 + 4*v**2 + 12/5*v**5 - 2/3*v**6 + l*v. Solve f(d) = 0 for d.
-1, 0, 1, 2
Let n be 30/210 - 172/(-168). Let t be (2/22)/(24/44). Factor 5/2*g + t*g**3 - 3/2 - n*g**2.
(g - 3)**2*(g - 1)/6
Let r(h) be the second derivative of h**5/90 - 7*h**4/54 + 11*h**3/27 - 5*h**2/9 - 940*h. Factor r(f).
2*(f - 5)*(f - 1)**2/9
Let f = -161264 + 322529/2. Factor -38*t + f*t**2 + 722.
(t - 38)**2/2
Solve 663*a + a**2 - 415*a - 455*a = 0 for a.
0, 207
Let u(f) = -f**3 + 2*f**2 - 4*f + 3. Let r be u(1). Suppose r = -8*b + 7*b - 9*b. Factor -10*p**2 + b - 2*p - 7/2*p**4 - 23/2*p**3.
-p*(p + 1)*(p + 2)*(7*p + 2)/2
Let 243/5*t + 141*t**3 + 12/5*t**5 - 1161/5*t**2 + 0 + 201/5*t**4 = 0. What is t?
-9, 0, 1/4, 1
Let w(o) be the third derivative of o**7/2100 + o**6/300 + o**5/300 - o**4/60 - o**3/20 - 3*o**2 - 78*o + 5. Factor w(h).
(h - 1)*(h + 1)**2*(h + 3)/10
Suppose -737206*i = -737252*i + 92. Factor 0 + 3/4*x**4 + 3/4*x**i + 0*x + 3/2*x**3.
3*x**2*(x + 1)**2/4
Let p(l) be the second derivative of l**7/105 - 14*l**6/75 + 47*l**5/50 - l**4/3 - 24*l**3/5 - 2*l + 222. Determine j so that p(j) = 0.
-1, 0, 2, 4, 9
Let q = 3252 + -3252. Let x(t) be the third derivative of 1/80*t**5 + q + 0*t + 0*t**3 - 3/32*t**4 - 13*t**2. Factor x(i).
3*i*(i - 3)/4
Let t(y) = -y**2 - 5*y. Suppose 0 = -207*s + 212*s + 20. Let v be t(s). Suppose -u**2 + 1/2*u**v + 0 + 0*u + 1/2*u**3 = 0. Calculate u.
-2, 0, 1
Let v(k) = -k**3 - 22*k**2 + 12*k - 67. Let w be v(-23). Factor -w + 385 - 34*d - 181 + 33*d**2 - 41*d.
3*(d - 2)*(11*d - 3)
Factor 2048/5 - 384*y - 2/5*y**3 - 126/5*y**2.
-2*(y - 1)*(y + 32)**2/5
Let c(y) be the first derivative of -y**5/12 + 75*y**4/4 - 3375*y**3/2 + 3*y**2/2 + 40. Let d(r) be the second derivative of c(r). Solve d(t) = 0 for t.
45
Let g(o) = -11*o**2 - 28*o + 35. Let w(c) = 90*c**2 + 222*c - 279. Let h(s) = -33*g(s) - 4*w(s). Determine r, given that h(r) = 0.
-13, 1
Let b(a) = a**2 + 5*a - 10. Let o be b(-7). Let n(y) = -y**2 + 6*y + 19. Let d be n(8). Solve -11 + o*z**4 - 4*z**2 + 4*z - z**3 - 3*z**d + 11 = 0.
-1, 0, 1
Let i = 2/619 - -613/1857. Suppose i*j**2 + 1/3 + 2/3*j = 0. Calculate j.
-1
Let r be 10/15*(270/325 - (-54)/(-90)). Factor 6/13*t + r*t**2 + 4/13.
2*(t + 1)*(t + 2)/13
Let s(w) be the third derivative of -w**7/630 + 13*w**6/360 + w**5/4 + 47*w**4/72 + 8*w**3/9 - 59*w**2 + 33*w. Factor s(p).
-(p - 16)*(p + 1)**3/3
Let v(r) be the first derivative of -102 + 1/3*r**3 + 11/2*r**2 - 26*r. Factor v(a).
(a - 2)*(a + 13)
Let p = -1690165/4 - -422575. Solve 117/4*w**3 - p*w**2 + 0*w + 0 + 3/4*w**5 - 33/4*w**4 = 0 for w.
0, 3, 5
Let b(z) be the first derivative of z**5/10 - z**4/8 - z**3/2 + z**2/4 + z - 827. Determine h, given that b(h) = 0.
-1, 1, 2
Let u(c) = -4*c**3 + c**2 - 4*c - 1. Let f(h) = -5*h**3 - 4859*h**2 - 7873204*h - 4251528001. Let v(p) = -5*f(p) + 5*u(p). Solve v(z) = 0 for z.
-1620
Factor -20/13*p**2 + 24/13*p + 2/13*p**3 + 144/13.
2*(p - 6)**2*(p + 2)/13
Let g be (-1 - 1 - (-8)/3)*12. Suppose -4*y + 12 = -g. Suppose 8*w**5 + w**4 - y*w**5 + 5*w**3 - 8*w**5 - w**2 = 0. Calculate w.
-1, 0, 1/5, 1
Solve 1694026/9*f + 2*f**3 - 11048/9*f**2 + 376996/9 = 0.
-2/9, 307
Let c(a) = -a**4 + a**3 - 5*a - 2. Let w(x) = -8*x**4 - 42*x**3 - 160*x**2 - 30*x - 12. Let l(t) = 6*c(t) - w(t). Determine r, given that l(r) = 0.
-20, -4, 0
Suppose 5*v - 7 = 4*x, 0 = 4*v - 4*x - 0 - 4. Solve 50*o**3 + 7*o**3 + 20*o**4 + 2*o**5 + 7*o**v + 64*o**2 = 0 for o.
-4, -2, 0
Let f(x) be the third derivative of 1/55*x**5 + 0 - 2/33*x**4 - 1/660*x**6 + 15*x**2 + 0*x**3 + 0*x. Factor f(v).
-2*v*(v - 4)*(v - 2)/11
Let x be (0 + 4/30*-9