 -559310. Factor -5/4*f + 1/4*f**u + 1.
(f - 4)*(f - 1)/4
Let g(z) be the first derivative of z**4/2 + 14*z**3 + 95*z**2 + 150*z - 1073. Suppose g(p) = 0. Calculate p.
-15, -5, -1
Let s(f) be the third derivative of f**7/420 - f**6/12 + 33*f**5/40 + 5*f**4/12 - 25*f**3/3 + 2168*f**2. Let s(j) = 0. What is j?
-1, 1, 10
Let 26*y - 88/5 - 1/5*y**3 - 41/5*y**2 = 0. What is y?
-44, 1, 2
Let b be (-116)/(-2204) + 37/19. Factor 0*c + 2/3*c**3 - b*c**2 + 0.
2*c**2*(c - 3)/3
Let w(z) = z**3 - 5*z. Let q be (1 - 3)/((-7)/42*3). Let r(v) = -5*v + 4*v + 2*v + 0*v. Let k(h) = q*r(h) + w(h). Factor k(d).
d*(d - 1)*(d + 1)
Factor 2*r**2 + 547866 - 4600*r - 1103570 + 551102.
2*(r - 2301)*(r + 1)
Let z = 37/52 - 6/13. Let o be 95/31 - ((-8)/(-232) + (-567)/(-18879)). Factor 0*q**o + z*q**2 + 0 + 0*q - 1/4*q**4.
-q**2*(q - 1)*(q + 1)/4
Let g be (-4254)/(-168) - (-13)/52 - 23. Let -36/7*c**2 + 10/7*c**3 + 0 + g*c = 0. Calculate c.
0, 3/5, 3
Let i(w) = w**3 - 10*w**2 + 20*w + 40. Let l be i(6). Let x(m) be the first derivative of 11/8*m**2 + l - 1/2*m + 1/4*m**4 - 13/12*m**3. Factor x(a).
(a - 2)*(a - 1)*(4*a - 1)/4
Factor 25 - 13 - 22*a + 107*a**2 - 95*a**2 + 2*a**3 - 4*a**3.
-2*(a - 3)*(a - 2)*(a - 1)
Let n(a) be the first derivative of -243*a - 4 - 1/9*a**3 + 9*a**2. Find h such that n(h) = 0.
27
Let q(x) = 2*x**2 + 3426*x + 1462056. Let j(m) = -m - 1. Let r(l) = 6*j(l) + q(l). Factor r(d).
2*(d + 855)**2
Let r(b) be the first derivative of 12/5*b**5 + 0*b**2 - 11/4*b**4 - 1/6*b**6 - 77 + 0*b + 0*b**3. Let r(f) = 0. What is f?
0, 1, 11
Let q(i) = 4*i - 38. Let u be q(10). Let g(w) = -8*w**3 + 189*w**2 - 6147*w + 65536. Let h(j) = -2*j**3 - j**2 - j. Let p(x) = u*g(x) - 6*h(x). Factor p(f).
-4*(f - 32)**3
Let i(f) = -4*f - 47. Let m be i(-12). Let d(q) = q**4 - 2*q**3 + q**2. Let a(j) = 5*j**4 - 7*j**3 + 2*j**2. Let s(l) = m*a(l) - 2*d(l). What is b in s(b) = 0?
0, 1
Let f(x) be the second derivative of -5*x**4/12 - 185*x**3/4 + 70*x**2 + 88*x + 10. Solve f(z) = 0.
-56, 1/2
Let m = 27896 - 8675648/311. Let h = m - -550/2799. Factor h*t**4 - 4/9*t**3 + 0*t**2 + 4/9*t - 2/9.
2*(t - 1)**3*(t + 1)/9
Let f be (1 - -4)/(80/32). Suppose -5*y = -3*k + f, 5 = -5*y + 15. Suppose 0 + 5/11*l**3 - 1/11*l**k + 4/11*l - 8/11*l**2 = 0. What is l?
0, 1, 2
Let o(s) be the first derivative of -s**7/2940 + s**6/252 - s**5/105 + 5*s**3/3 + 5*s + 77. Let g(v) be the third derivative of o(v). Let g(b) = 0. What is b?
0, 1, 4
Let n(g) be the second derivative of 0*g**2 + 0 - 1/10*g**5 - 10/3*g**3 + 7*g + 7/6*g**4. Factor n(u).
-2*u*(u - 5)*(u - 2)
Let n be 3 + 4 + (-20)/10. Let f(a) be the second derivative of 0*a**2 + 5*a + 4/15*a**3 + 0 - 1/25*a**n + 1/15*a**4. Let f(r) = 0. Calculate r.
-1, 0, 2
Let j(u) be the second derivative of -u**7/147 + 2*u**6/105 + 13*u**5/35 - 18*u**4/7 + 45*u**3/7 - 54*u**2/7 - 694*u. Solve j(m) = 0.
-6, 1, 3
Let w(q) be the third derivative of q**7/42 - 11*q**6/24 + 11*q**5/12 + 295*q**4/24 + 30*q**3 - q**2 + 160. Suppose w(x) = 0. What is x?
-1, 4, 9
Factor 477*b**3 + 49812330 + 14985347*b + 28903425*b + 750*b**3 - 475440*b**2 + 465*b**3 + 86178792 - 2*b**4.
-2*(b - 283)**3*(b + 3)
Suppose 4*g**3 + 46268*g**2 - 43760*g**2 + 36517316 + 524172*g + 0*g**3 = 0. What is g?
-209
Let 26*b**2 + 20*b**2 + 1233*b + 252*b**2 + 317*b**2 + 617 - b**3 = 0. What is b?
-1, 617
What is t in 25*t**3 - 309 + 45*t**4 + 192 - 30*t + 197 + 5*t**5 - 125*t**2 = 0?
-8, -2, -1, 1
Suppose 0 = -20282*i + 20289*i. Let j(y) be the second derivative of 1/3*y**3 + 5/36*y**4 + 1/60*y**5 + 11*y + 0 + i*y**2. Solve j(b) = 0.
-3, -2, 0
Let u(x) be the third derivative of -x**6/60 - 45*x**5/2 - 50625*x**4/4 - 3796875*x**3 + 13*x**2 + 20*x - 1. Determine f, given that u(f) = 0.
-225
Let u(n) be the first derivative of 57*n**5/5 + 283*n**4/4 - 10*n**3/3 - 738. Factor u(f).
f**2*(f + 5)*(57*f - 2)
Let w(a) be the third derivative of a**6/600 + 9*a**5/100 + 67*a**4/60 + 28*a**3/5 - 26*a**2 - 75*a. Factor w(m).
(m + 2)*(m + 4)*(m + 21)/5
Let z = -5516 - -5521. Let v(u) be the second derivative of 1/3*u**4 + 1/10*u**z - 29*u + 0 - 2*u**2 - 1/3*u**3. Factor v(t).
2*(t - 1)*(t + 1)*(t + 2)
Let h(j) = j**5 - 12*j**4 - j**3 - 3*j**2 - 15*j - 7. Let q(p) = -2*p**2 - 3*p**4 - 6 - 9*p**4 + p**4 - 14*p + p**5. Let o(c) = -6*h(c) + 7*q(c). Factor o(z).
z*(z - 2)**3*(z + 1)
Determine o, given that 56*o**2 + 0 - 32*o - 33/2*o**3 - 1/2*o**5 - 7*o**4 = 0.
-8, 0, 1
Factor 13226*p**3 - 4322383*p**2 + 21441517024*p - 5*p**4 - 2817636690 + 3*p**4 - 24836537*p**2 - 7156680026 - 11438054612.
-2*(p - 2204)**3*(p - 1)
Let n(v) be the first derivative of -6*v**2 - 13/3*v**3 - 4*v - 1/5*v**5 - 3/2*v**4 + 62. Solve n(l) = 0 for l.
-2, -1
Let b(c) be the third derivative of -121*c**6/60 - 3223*c**5/30 + 296*c**4/3 - 36*c**3 - 2*c**2 + 14*c. Find j, given that b(j) = 0.
-27, 2/11
Suppose 4 = -5*c + 14. Find y, given that 324 + 213*y**2 - 52*y - 209*y**c - 20*y = 0.
9
Solve 4/5*l**2 + 1764/5 - 1768/5*l = 0.
1, 441
Let b(r) be the second derivative of -r**5/240 - 5*r**4/96 - r**3/6 + 5*r**2/2 + 5*r - 2. Let n(y) be the first derivative of b(y). Factor n(o).
-(o + 1)*(o + 4)/4
Let f be (15/2)/(-15)*-3576. Determine k so that -2*k**5 - f*k**3 - 4700*k**2 - 58*k**4 - 2892*k - 532*k - 56*k**4 - 1058*k - 1458 = 0.
-27, -1
Let n(f) be the second derivative of -5*f**3/3 - 90*f**2 - 37*f + 2. Let t be n(-18). Factor 3/2*u**5 + 6*u**4 + 3*u**2 + 15/2*u**3 + t*u + 0.
3*u**2*(u + 1)**2*(u + 2)/2
Let i(r) be the third derivative of -1/48*r**4 - 1/24*r**3 - 42*r**2 + 0*r + 0 - 1/240*r**5. Factor i(m).
-(m + 1)**2/4
Let r = 43 + -45. Let n be (2 + 2 + -14)/r. Determine y, given that -n*y + 2*y + y + y**2 = 0.
0, 2
Suppose 2*q - 3 = -3*t, -4*q + 0*t + 2*t = -46. Factor -3*j - 11*j**2 + 3*j**3 + 0*j - q + 20*j**2.
3*(j - 1)*(j + 1)*(j + 3)
Factor 1527375 - 41495 + 4*i**2 - 420697 - 5544*i - 416*i + 1154917.
4*(i - 745)**2
Factor 0 - 34/3*m + 1/3*m**3 - 11*m**2.
m*(m - 34)*(m + 1)/3
Let g be (0/80)/(-1*1). Let h(i) be the second derivative of g - 25/12*i**4 - 12*i + 5/2*i**2 - 10/3*i**3. Determine a so that h(a) = 0.
-1, 1/5
Let h(t) be the second derivative of 1/3*t**2 + 5/4*t**4 + 0 - 13/12*t**3 - 98*t + 5/24*t**5. Factor h(k).
(k + 4)*(5*k - 1)**2/6
Let z(g) be the second derivative of g**4/12 + 4*g**3/3 - 9*g**2/2 - 2616*g. Factor z(r).
(r - 1)*(r + 9)
Let r be (40/40)/(2/130). Let n be 92/(-69)*(-15)/r. Factor 0*m**3 + 2/13*m**4 + 0*m - n*m**2 + 2/13.
2*(m - 1)**2*(m + 1)**2/13
Let s be ((-207)/(-36))/(-1 - 14/(-16)). Let b = s + 78. Factor -51*g**3 + 5*g + 6*g**2 - 15*g**4 - 22*g**2 - b*g**2 - 17*g.
-3*g*(g + 1)*(g + 2)*(5*g + 2)
Let a = 422 - 344. Find d, given that -a*d**4 + d**2 - 5*d - 6 + 3*d + 6 - 2*d**5 + 6*d**3 + 79*d**4 = 0.
-1, 0, 1/2, 2
Let s = -14094 + 14096. Let i(w) be the second derivative of s*w + 2/9*w**3 - 1/36*w**4 + 0*w**2 - 1. Factor i(x).
-x*(x - 4)/3
Let d(y) = y**3 - 265*y**2 - 280*y + 3732. Let i be d(266). Solve -14/3*c**5 + 32/3*c**4 + 62/3*c**3 - 104/3*c**2 + 0 + i*c = 0 for c.
-2, 0, 2/7, 1, 3
Let x be ((-1)/1 - -4)/(60/100). Let z = x - 0. Factor -d**3 + 6*d + 4*d**5 + 15*d**4 + 21*d**2 + 28*d**3 + 6*d**5 - 7*d**z.
3*d*(d + 1)**3*(d + 2)
Let k be 1 + -2 - ((-238)/(-119) - (-11)/(-3)). Factor 28/3*u - 98/3 - k*u**2.
-2*(u - 7)**2/3
Let c(p) = -p**2 - 29*p - 85. Let r be c(-14). Let q be (1 - -2) + -125 + r. What is h in 0*h - 10/19*h**q + 0 - 2/19*h**2 = 0?
-1/5, 0
Determine r, given that 8015*r - 5*r**5 - 6040*r**2 + 6145*r**3 + 1000*r**4 - 3000 + 6150*r**3 - 12265*r**3 = 0.
-3, 1, 200
Let w(r) be the third derivative of -r**7/210 - r**6/10 + 151*r**5/60 - 33*r**4/4 - 60*r**3 - 2768*r**2. Let w(q) = 0. Calculate q.
-20, -1, 3, 6
Let n(d) be the third derivative of 0 + 11/156*d**4 - 1/780*d**6 - d**2 - 26*d - 1/39*d**5 + 0*d**3. Factor n(q).
-2*q*(q - 1)*(q + 11)/13
Suppose -11*r = -7*r - 1248. Let s be r/(-546) - (-1 - 1/1). Solve -8/7 - 16/7*z + s*z**2 = 0 for z.
-2/5, 2
Let o(z) be the third derivative of 0 - 137*z**2 - 5/3*z**4 + 0*z - 1/12*z**5 - 25/2*z**3. Factor o(r).
-5*(r + 3)*(r + 5)
Let s be (-2472)/126 + -6 + (-4)/(-12). Let v = 1600/63 + s. What is d in -2/3*d**4 - 16/9*d**2 - 14/9*d**3 - v*d**5 - 2/9 - d = 0?
-2, -1
Suppose -5*k = -u - 40, -4*k - 287 = 5*u - 0*k. Let v = 60 + u. Factor 