35/42). Factor 2/7*y**3 - 6/7*y**2 + 0*y + u.
2*(y - 2)**2*(y + 1)/7
Let t(j) be the third derivative of 1/160*j**5 + 1/24*j**3 + 0 + 5/192*j**4 + 0*j + 28*j**2 - 1/960*j**6 - 1/1680*j**7. Factor t(k).
-(k - 2)*(k + 1)**3/8
Let k = 324740/9 - 36082. Factor -2/9*h - 2/9*h**2 + 2/9*h**3 + k.
2*(h - 1)**2*(h + 1)/9
Solve -34*u + 0*u - 28*u**2 - 18*u + 24*u**2 = 0 for u.
-13, 0
Let x(c) be the first derivative of -2*c**3/45 - 14*c**2/15 + 64*c/15 - 247. Factor x(v).
-2*(v - 2)*(v + 16)/15
Suppose -4*b + 2*r = -40, -r + 4*r = 0. Let 3*f**2 + 5*f**5 - 6*f**4 + 2*f**2 + 5*f**3 - 9*f**4 - b*f + 10*f**2 = 0. What is f?
-1, 0, 1, 2
Factor -49/8*b - 1/8*b**3 + 0 + 25/4*b**2.
-b*(b - 49)*(b - 1)/8
Let k(x) be the first derivative of 4*x**5/15 + x**4/3 - 4*x**3/9 - 2*x**2/3 - 223. Suppose k(m) = 0. Calculate m.
-1, 0, 1
Let x be 25/1050*75 - 2/7. Determine z, given that -3/2*z**4 + 0*z**2 + 0*z + x*z**3 + 0 = 0.
0, 1
Let g(a) = a + 3. Let b be g(-2). Let i be 15 + (0 - b) - -1. Suppose 3 - 3*w**4 + 9*w**2 + 1 + 4*w**3 - w**3 + 2 - i*w = 0. What is w?
-2, 1
Let o(h) = h**2 - 4*h + 2. Let p(d) = 2*d**2 - 7*d + 3. Let v(f) = 7*o(f) - 4*p(f). Let q be v(0). What is t in -4*t**2 + t**2 + q*t**2 = 0?
0
Let p(g) be the third derivative of -g**8/1848 - g**7/1155 + g**6/660 + g**5/330 + 2*g**2 + 16. Suppose p(f) = 0. What is f?
-1, 0, 1
Suppose -y + 10 = -2*a, -11*y + 8*y = -a - 10. Suppose 8/9*t**y - 4*t - 20/9 = 0. Calculate t.
-1/2, 5
Let m = -47 - -83. Let t = -25 + m. Solve 32*q - 5*q**2 + t*q**2 + 8 + 0*q**2 + 8*q**2 = 0 for q.
-2, -2/7
Let s(m) be the third derivative of -m**6/40 - 9*m**5/20 - 3*m**4 - 10*m**3 + m**2 - 26*m. Factor s(r).
-3*(r + 2)**2*(r + 5)
Find m such that -41 - 2*m**3 + 69*m - 3*m**2 - 35*m**2 + 59*m - 79 + 4*m**3 = 0.
2, 15
Suppose -7*d + 2 = -9*d. Let g(s) = s**4 + s**2 - s - 1. Let w(c) = -12*c**3 - 4*c**2 + 20*c + 4. Let q(t) = d*w(t) - 4*g(t). Suppose q(k) = 0. What is k?
-1, 0, 2
Suppose g = 8 - 2. Let m = g - 1. Suppose 0*z - z + 6*z**3 - 5*z**m + 2*z**5 - 2*z = 0. Calculate z.
-1, 0, 1
Let t(d) be the third derivative of 1/15*d**5 - 10*d**2 + 0*d - 14/3*d**3 + d**4 + 3. Let t(c) = 0. Calculate c.
-7, 1
Let f = 811/2550 + 13/850. Determine b so that -1/3*b**2 + 0 + 1/3*b**4 + 0*b - 1/3*b**5 + f*b**3 = 0.
-1, 0, 1
Let p(f) be the first derivative of f**4/12 - f**3/6 - 3*f**2 - 25*f - 19. Let r(c) be the first derivative of p(c). What is a in r(a) = 0?
-2, 3
Let k = 27 + -27. Let d(t) be the third derivative of k*t**3 + 0*t**4 + 3*t**2 - 1/20*t**5 + 0 + 0*t. Find w, given that d(w) = 0.
0
Let n(t) be the second derivative of -t**8/2100 - t**7/525 + t**5/75 + t**4/30 + 5*t**3/6 + 10*t. Let o(c) be the second derivative of n(c). Factor o(z).
-4*(z - 1)*(z + 1)**3/5
Suppose 6 = 5*g - 4. Suppose -2*q + 14 = 20*l - 16*l, 4*q - 19 = -5*l. Factor -2/7*m**l + 0 + 0*m**g + 2/7*m.
-2*m*(m - 1)*(m + 1)/7
Let n(m) be the first derivative of m**5/5 - 19*m**4/4 + 17*m**3 + 451*m**2/2 - 484*m + 654. Factor n(r).
(r - 11)**2*(r - 1)*(r + 4)
Let y(r) be the second derivative of r**7/840 + r**6/160 + r**5/240 - r**4/32 - r**3/12 - 5*r**2 + 11*r. Let t(i) be the first derivative of y(i). Factor t(z).
(z - 1)*(z + 1)**2*(z + 2)/4
Let t(j) be the third derivative of 4913*j**6/300 + 289*j**5/10 + 85*j**4/4 + 25*j**3/3 - 237*j**2. Factor t(g).
2*(17*g + 5)**3/5
Let z(p) be the second derivative of p**7/27720 - p**6/660 + 3*p**5/110 + 7*p**4/12 + 12*p. Let k(b) be the third derivative of z(b). Factor k(y).
(y - 6)**2/11
What is r in 2/7*r**5 + 1296*r - 2070/7*r**2 - 1512 - 58/7*r**3 + 38/7*r**4 = 0?
-14, 3
Let n(v) be the first derivative of -v**5/15 - v**4/3 + 5*v**3/9 - 17. Factor n(o).
-o**2*(o - 1)*(o + 5)/3
Let h(r) = r**4 + 11*r**3 + 10*r**2 - 8*r + 4. Let t(n) = -10*n**4 - 100*n**3 - 90*n**2 + 70*n - 35. Let d(f) = -35*h(f) - 4*t(f). Factor d(w).
5*w**2*(w + 1)*(w + 2)
Let d(i) = -i**3 - 10*i**2 + 23*i - 11. Let y be d(-12). Let h be 0 - -2 - 4*y/3. Factor -2/3*j + h*j**2 - 2/3 + 2/3*j**3.
2*(j - 1)*(j + 1)**2/3
Let w(f) be the third derivative of 1/20*f**5 - 1/224*f**8 - 11/80*f**6 + 3/4*f**4 - 25*f**2 + 0 + 3/70*f**7 - 2*f**3 + 0*f. Find k, given that w(k) = 0.
-1, 1, 2
Let d(o) be the second derivative of 27/2*o**2 - 6*o + 9/2*o**5 + 0 - 15*o**3 + 4*o**4 - 5/2*o**6. Let d(k) = 0. Calculate k.
-1, 3/5, 1
Let v(j) be the second derivative of j**6/72 + j**5/24 - 5*j**3/6 + 37*j. Let b(k) be the second derivative of v(k). Factor b(x).
5*x*(x + 1)
Let c(k) be the second derivative of -65*k**4/12 + 235*k**3/2 + 55*k**2 - 594*k. Factor c(v).
-5*(v - 11)*(13*v + 2)
Let h(d) be the first derivative of -d**3/3 - d**2 + 3*d - 137. Factor h(y).
-(y - 1)*(y + 3)
Let d be (12/(-18))/((-5)/40). Factor 0*g + d*g**3 + 0 + 8/3*g**2 + 2*g**4.
2*g**2*(g + 2)*(3*g + 2)/3
Suppose 2*r = 35 - 29. Let q(i) be the third derivative of 1/27*i**4 - 4*i**2 + 1/270*i**5 + 4/27*i**r + 0 + 0*i. Suppose q(n) = 0. What is n?
-2
Let z(l) be the third derivative of 0*l + 32/3*l**3 + 23*l**2 + 0 + 1/15*l**5 + 4/3*l**4. Factor z(q).
4*(q + 4)**2
Let k(w) be the second derivative of w**4/60 - 79*w**3/15 + 6241*w**2/10 + 147*w. Factor k(p).
(p - 79)**2/5
Let a = 659069/77 - 51565/7. Find g, given that -576/11*g + 32/11 + 3888/11*g**2 + a*g**4 - 11664/11*g**3 = 0.
2/9
Let t(v) = -4*v - 56. Let c be t(-14). Suppose 4/9*a - 2/9*a**3 + c + 2/3*a**2 - 2/3*a**4 - 2/9*a**5 = 0. What is a?
-2, -1, 0, 1
Let t(l) be the first derivative of -3*l**5/5 - 9*l**4/4 + 9*l**3 - 15*l**2/2 - 62. Factor t(p).
-3*p*(p - 1)**2*(p + 5)
Let p(o) be the third derivative of -o**7/420 - o**6/240 + o**5/60 - 6*o**2 - 34. Solve p(f) = 0.
-2, 0, 1
Let b(z) = 45*z + 6*z**2 - 28*z**2 + 60 + 7*z**2. Let a(f) = -7*f**2 + 23*f + 30. Let p(o) = 5*a(o) - 2*b(o). Factor p(c).
-5*(c - 6)*(c + 1)
Let w(f) be the third derivative of 0*f**4 + 0*f**3 - 6*f**2 + 1/840*f**7 + 0*f**6 + 0*f + 0*f**5 + 0. Find o, given that w(o) = 0.
0
Solve -7*l**5 + 2*l**5 - 5*l**4 + 118*l**3 - 120*l**3 - 2*l**2 + 4*l**5 + 10*l**2 = 0 for l.
-4, -2, 0, 1
Let v(h) be the third derivative of h**6/960 - 57*h**5/80 + 3249*h**4/16 - 61731*h**3/2 + 2*h**2 + 42*h. Find p such that v(p) = 0.
114
Let y(t) be the second derivative of -t**7/84 + t**6/12 + 4*t**5/5 + 3*t**4/2 - 59*t - 1. Factor y(v).
-v**2*(v - 9)*(v + 2)**2/2
Let h(s) be the third derivative of -s**6/420 + s**5/70 + s**4/84 - s**3/7 + 15*s**2 + s. Factor h(v).
-2*(v - 3)*(v - 1)*(v + 1)/7
Let k(j) be the third derivative of -j**7/1050 + j**6/50 - 7*j**5/100 + j**4/12 - 2*j**2 - j. Solve k(u) = 0 for u.
0, 1, 10
Determine r, given that -12*r - 237*r**4 + 24 - 30*r**2 + 3*r**3 + 3*r**5 + 126*r**4 + 123*r**4 = 0.
-2, 1
Let c(w) = w**2 - 5*w + 6. Let s be c(1). Let z(o) be the first derivative of -1/5*o - 1/15*o**3 + 5 + 1/5*o**s. Find j, given that z(j) = 0.
1
Let c(s) be the first derivative of -s**8/1680 + s**7/480 + s**6/720 - 4*s**3 + 8. Let j(m) be the third derivative of c(m). Factor j(r).
-r**2*(r - 2)*(4*r + 1)/4
Let v(k) be the first derivative of 3*k**5/5 + 51*k**4/4 - 52. What is d in v(d) = 0?
-17, 0
Let s(o) be the first derivative of -16/21*o**3 + 8 + 1/21*o**6 + 0*o**2 + 6/7*o**4 - 12/35*o**5 + 0*o. Find x, given that s(x) = 0.
0, 2
Let t(s) be the first derivative of -s**6/33 - 8*s**5/11 - 50*s**4/11 - 100. Find c such that t(c) = 0.
-10, 0
Let b(q) = q**3 + 5*q**2 - q - 2. Let w be b(-5). Find r, given that 11*r**4 + 3*r**w - 6*r**4 + 2*r**3 = 0.
-1, 0
Let s(c) be the second derivative of -c**7/210 + 4*c**6/75 - 6*c**5/25 + 17*c**4/30 - 23*c**3/30 + 3*c**2/5 + c - 13. Find p, given that s(p) = 0.
1, 2, 3
What is x in 2*x + 4 - 15/4*x**2 - 1/4*x**4 - 2*x**3 = 0?
-4, -1, 1
Factor 85/4*a**4 + 19305/4*a - 22815/4 - 95/2*a**3 - 2115/2*a**2 + 5/4*a**5.
5*(a - 3)**3*(a + 13)**2/4
Let b(m) be the first derivative of m**6/90 - 11*m**5/30 + 26*m**3/3 - m**2/2 - 47. Let s(i) be the third derivative of b(i). Factor s(k).
4*k*(k - 11)
Let c(y) be the first derivative of -3*y**4/28 + 13*y**3/7 - 33*y**2/7 - 168. Factor c(k).
-3*k*(k - 11)*(k - 2)/7
Factor 3/5*p**2 + 3/5*p + 1/5 + 1/5*p**3.
(p + 1)**3/5
Let u(x) be the first derivative of x**4/2 - 2*x**3 - 9*x**2 - 10*x + 61. Factor u(s).
2*(s - 5)*(s + 1)**2
Let x(r) be the second derivative of 0*r**6 - 6*r - 5/2*r**2 + 0 + 1/70*r**7 + 0