 derivative of 1/140*g**5 + 0*g - 7*g**2 + 0 - 13/168*g**4 - 5/21*g**3. Suppose k(y) = 0. What is y?
-2/3, 5
Suppose -3*u = 3*x + 15, 5*u + 206 - 211 = -2*x. Find o, given that 33/2*o**3 - 25/4*o**u - 10*o**2 + 15/2*o**4 - 33/4*o + 9/2 = 0.
-1, 3/5, 2
Suppose 4*z + 4*p = 20, 0*p + 29 = 5*z + p. Factor -2 + 6 - 2*j**3 - 2*j**4 + z*j**2 + 17*j - 7*j.
-2*(j - 2)*(j + 1)**3
Let c(h) be the first derivative of 75*h**4/8 - 15*h**3 - 27*h**2 - 12*h + 66. Factor c(i).
3*(i - 2)*(5*i + 2)**2/2
Let i(f) be the first derivative of -2/21*f**3 - 7 - 3/7*f**2 + 8/7*f. Find y such that i(y) = 0.
-4, 1
Suppose -2*y + 9 = y, -5*y + 30 = 5*f. Suppose 0 = -3*j - 0 + 6. Factor 1/2*w**2 - j - 15/2*w**f + 6*w.
-(w + 1)*(3*w - 2)*(5*w - 2)/2
Determine i so that -12/5*i**5 + 0*i**2 + 0 + 4/5*i + 32/5*i**4 - 24/5*i**3 = 0.
-1/3, 0, 1
Let p be (224/240)/(3 + 24/(-9)). Factor 2/5*u**3 + 32/5 - p*u**2 + 16/5*u.
2*(u - 4)**2*(u + 1)/5
Find d such that -121/5 - 1/5*d**2 - 22/5*d = 0.
-11
Let m = -236 - -556. Solve m*p**3 - 135 + 96*p - 596*p**2 + 185*p + 259*p - 124*p**2 = 0.
3/4
Let c(t) = -15*t - 491. Let g be c(-33). Let q(m) be the second derivative of 0 + 4*m**2 + 2/3*m**3 + 2*m + 1/24*m**g. Factor q(y).
(y + 4)**2/2
Let m(d) = 2*d**2 + 11*d - 19. Let i be m(-7). Let k(n) be the second derivative of 1/6*n**i + 4*n - 1/60*n**5 + 0 + 1/12*n**4 - 1/6*n**3. Factor k(o).
-(o - 1)**3/3
Let m(x) = 14*x**2 + 2*x - 30. Let a(v) = -30*v**2 - 4*v + 61. Let f(g) = -6*a(g) - 13*m(g). Factor f(q).
-2*(q - 3)*(q + 4)
Let y(x) be the second derivative of x**4/24 + 11*x**3 - x + 52. Determine o so that y(o) = 0.
-132, 0
Let c = 60429 - 241713/4. Suppose x**4 + 0 + 0*x - c*x**3 - 9/2*x**2 + 1/4*x**5 = 0. What is x?
-3, 0, 2
Suppose -54 + 20 = -160*j + 143*j. What is r in 0 + 4/7*r + 2/7*r**j - 2/7*r**3 = 0?
-1, 0, 2
Let b(c) be the second derivative of -c**6/60 + 2*c**5/5 - c**4 - 80*c**3/3 - 100*c**2 - c + 25. Factor b(y).
-(y - 10)**2*(y + 2)**2/2
Let v(u) be the third derivative of -u**7/1260 + 13*u**6/720 - 4*u**5/45 + 5*u**4/36 + 704*u**2. Find x, given that v(x) = 0.
0, 1, 2, 10
Factor 2*v**4 - 115*v**2 + 115*v**2 - 10*v**3 - 14*v**3.
2*v**3*(v - 12)
Suppose 174*w + 4*w - 355 - 179 = 0. Let 3/4*x**2 + 6*x - 9 - 3/4*x**w = 0. Calculate x.
-3, 2
Let j(t) = 2*t**2 + 33*t - 225. Let v(z) = -3*z**2 - 34*z + 225. Let p(i) = -4*j(i) - 3*v(i). Let p(h) = 0. Calculate h.
15
Let u = 26 + -9. Suppose h + u = 19. Suppose 25/4 + 1/4*k**h - 5/2*k = 0. Calculate k.
5
Suppose 811 = 8*z - 917. Let k = -216 + z. Factor -5/2*p - 5/2*p**2 + k.
-5*p*(p + 1)/2
Determine r so that -140 - 15*r**2 + 120 + 5*r + 35*r = 0.
2/3, 2
Suppose -4*l + 8 = 2*t - 4, -t + 15 = 5*l. Let b be (-4)/10 - (162/(-10))/l. Factor 0 + 2/7*x**b + 0*x**4 + 0*x**2 - 2/7*x**3 + 0*x.
2*x**3*(x - 1)*(x + 1)/7
Let r(w) be the third derivative of w**5/45 - 25*w**4/18 - 7*w**2 + 4. What is v in r(v) = 0?
0, 25
Let v = 2 + 0. Suppose z - v*r + 9 = -3*r, 5*r + 5 = 3*z. Let b(i) = 3*i**2 - 11*i + 1. Let p(k) = -k**2 + 5*k. Let q(f) = z*p(f) - 2*b(f). Factor q(y).
-(y + 1)*(y + 2)
Let q(b) = b**2 + 2*b - 3. Let z be q(-4). Factor 2*j**z - 5*j**3 - j**3 - 15*j**4 - 11*j**5.
-3*j**3*(j + 1)*(3*j + 2)
Suppose 2*n + 14 = -10. Let y(h) = 2*h**2 + 23*h - 10. Let u be y(n). Factor 4/13 - 8/13*o**u + 2/13*o - 6/13*o**3.
-2*(o + 1)**2*(3*o - 2)/13
Let a = -393 + 395. Find r such that 0 - 2/3*r**5 + 0*r + 16/9*r**4 + 4/9*r**a - 14/9*r**3 = 0.
0, 2/3, 1
Let s be (-6 - 0) + -71 + 77. Let t(v) be the first derivative of 0*v + 4 + 0*v**3 + 2/25*v**5 + s*v**2 - 1/10*v**4. Determine n so that t(n) = 0.
0, 1
Let k = -1849 - -1849. Factor 2/3*r**4 + k + 4/15*r + 6/5*r**3 + 2/15*r**5 + 14/15*r**2.
2*r*(r + 1)**3*(r + 2)/15
Let a be ((-2)/6)/((-56)/504). Let g(o) be the second derivative of 6*o + 0 - 1/15*o**4 + 1/10*o**2 + 1/10*o**a. Factor g(p).
-(p - 1)*(4*p + 1)/5
Suppose 10 = 4*y - 6. Suppose -128*a**5 + 4*a**y - 118*a**5 + 2*a**3 + 240*a**5 = 0. What is a?
-1/3, 0, 1
Let d(u) be the first derivative of -16*u**5/5 + 5*u**4 + 136*u**3/3 + 74*u**2 + 48*u + 309. Solve d(j) = 0 for j.
-1, -3/4, 4
Factor -767*c**2 + 384*c**2 - 1521 - 78*c + 382*c**2.
-(c + 39)**2
Let j(f) = 9*f**2 + 25*f + 135. Let z(t) be the first derivative of 4*t**3/3 + 13*t**2/2 + 67*t + 35. Let p(m) = -3*j(m) + 7*z(m). Factor p(w).
(w + 8)**2
Let y(x) be the first derivative of 2*x**3/3 - 4*x**2 - 10*x + 264. Factor y(b).
2*(b - 5)*(b + 1)
Let j(r) be the second derivative of -r**5/360 + r**4/18 - 7*r**3/36 + 6*r**2 - 22*r. Let t(g) be the first derivative of j(g). Factor t(d).
-(d - 7)*(d - 1)/6
Factor 955*k**3 - 482*k**3 - 16 + 12*k**2 - 477*k**3.
-4*(k - 2)**2*(k + 1)
Let o(i) = 3*i**3 + 30*i**2 + i - 14. Let c(b) = 7*b**3 + 66*b**2 + 3*b - 29. Let f(j) = 4*c(j) - 9*o(j). Let f(u) = 0. What is u?
-1, 2, 5
Let n(t) = 2*t - 5. Let i be n(5). Solve 6*g**3 - 2*g**i + 42*g**3 + 4*g**5 - 8*g + 20*g**2 + 4*g**4 - 18*g**5 = 0.
-1, 0, 1/4, 2
Suppose -29*a**5 - 118*a + 118*a + 70*a**2 + 22*a**5 + 50*a**4 + 12*a**5 + 115*a**3 = 0. Calculate a.
-7, -2, -1, 0
Let z(r) be the first derivative of -1 - 2/5*r**2 + 0*r - 6/5*r**3. Let z(g) = 0. What is g?
-2/9, 0
Let a(z) be the second derivative of 0 - 32*z**2 - 64/3*z**3 - 8/5*z**5 + 5*z - 8*z**4 - 2/15*z**6. Suppose a(y) = 0. What is y?
-2
Determine j, given that -18/5 - 250*j**2 + 60*j = 0.
3/25
Let r(l) = 16*l**2 + 24*l. Let q(d) = 172*d**2 + 264*d. Let j(h) = -3*q(h) + 32*r(h). Factor j(z).
-4*z*(z + 6)
Let y(s) be the first derivative of -1/18*s**3 - 1/3*s + 1/4*s**2 + 17. Determine g so that y(g) = 0.
1, 2
Let -20/9*p + 0 - 2*p**2 + 2/9*p**3 = 0. Calculate p.
-1, 0, 10
Let v(a) = -4*a**2 - 2*a. Let z(y) = y**2 + y + 1. Let l(s) = -v(s) - 2*z(s). Factor l(n).
2*(n - 1)*(n + 1)
Let g = 52 + -49. Suppose -3*s - g*n = 3 - 6, 4*n + 23 = 5*s. Factor 0*u**s - 3/2*u**2 + 0*u + 3/4*u**4 + 3/4.
3*(u - 1)**2*(u + 1)**2/4
Let d(a) be the third derivative of -2*a - 1/30*a**5 + 2*a**2 + 0 + 1/4*a**4 + 4/3*a**3. Factor d(t).
-2*(t - 4)*(t + 1)
Suppose 0*p - 15 = -3*p. Let o be (2 - 8/5)/(p/25). Let -1/3*h**o - 1/6*h + 1/3 + 1/6*h**3 = 0. What is h?
-1, 1, 2
Determine y so that -256/3 + 172/3*y**3 + 192*y + 2/3*y**5 - 464/3*y**2 - 10*y**4 = 0.
1, 2, 4
Let i be (14 - 8) + 85/(-15). Let f(p) be the second derivative of 0 - i*p**3 - 2*p**2 + p + 1/6*p**4. Factor f(s).
2*(s - 2)*(s + 1)
Suppose -19*s - 86*s + 210 = 0. Let 0*z - 1/4*z**4 + 1/4*z**3 + 0 + 0*z**s = 0. Calculate z.
0, 1
Let g be (7 - 1)*30/18. Suppose -11*d + 3 = -g*d. Determine u, given that -1/5*u - u**d + 8/5*u**2 - 2/5 = 0.
-2/5, 1
Let k(u) = -u**4 + 2*u + 1. Let y(b) = 4*b**4 - b**3 + 6*b**2 - 6*b - 13. Let d(w) = 5*k(w) + y(w). What is r in d(r) = 0?
-2, 1, 2
Let v(y) be the second derivative of y**4/42 + 73*y**3/21 + 244*y + 2. Factor v(z).
2*z*(z + 73)/7
Let m = -3085 + 138833/45. Let g(z) be the first derivative of 0*z**3 - 1/27*z**6 - m*z**5 - 2/9*z**4 + 0*z + 5 + 0*z**2. Find r such that g(r) = 0.
-2, 0
Let y(h) be the third derivative of 1/9*h**5 - 2/9*h**3 + 12*h**2 + 1/36*h**4 + 0 + 0*h. Factor y(q).
2*(2*q + 1)*(5*q - 2)/3
Find v such that -5/3*v**2 + 7/3*v - 7/3*v**3 + 2 - 1/3*v**4 = 0.
-6, -1, 1
Let x = -464560873/639 + 727014. Let r = x - -7/71. Determine w so that -r*w + 2/9*w**2 + 32/9 = 0.
4
Let y = 48889/5 - 9655. Let g = -122 + y. Factor 0*q - 12/5*q**2 + 0 + g*q**3.
4*q**2*(q - 3)/5
Let c = -73651/2364 + -150/197. Let t = c + 98/3. Suppose 0 - 1/4*s - s**5 + 5/4*s**3 + t*s**2 - 3/4*s**4 = 0. Calculate s.
-1, 0, 1/4, 1
Let t = 170 + -165. Let o be ((-3)/((-9)/(-6)))/t*-3. Suppose o*k**2 + 3/5*k + 3/5*k**3 + 0 = 0. What is k?
-1, 0
Let -10/3*u**4 - 284/3*u**3 + 0 - 784/3*u - 2072/3*u**2 = 0. Calculate u.
-14, -2/5, 0
Let a(y) be the third derivative of 0 + 0*y**3 - 1/180*y**5 - 1/18*y**4 + 0*y + 1/720*y**6 + 36*y**2. Factor a(t).
t*(t - 4)*(t + 2)/6
Determine v so that -136/9*v - 44/9*v**2 + 16/9*v**4 + 26/9*v**3 + 2/9*v**5 - 80/9 = 0.
-5, -2, -1, 2
Factor -3*z**4 - 264 + 35*z**2 - 2*z**4 + 174 - 75*z + 15*z**3.
-5*(z - 3)**2*(z + 1)*(z + 2)
Let k(g) be the first derivative of -g**7/42 - g**6/12 - g**5/12 - 9*g**2/2 - 6. Let z(s) be the second derivative of k(s). Factor z(b).
-5*b**2*(b + 1)**2
Let s = 2271/1820 + 1/455. Factor 5/2*h**2 + 5/2*h**3 + 5/4*h + s*h**4 + 1/4 +