*2*(3*v - 1)/3
Let d be ((5 - (5 - -2)) + (9 - 7))/(-2). Factor d + 12/7*b + 12/7*b**2 + 3/7*b**3.
3*b*(b + 2)**2/7
Let h(n) be the third derivative of 2*n**2 + 0*n - 29/36*n**4 + 1/45*n**6 + 2/3*n**3 + 0 + 19/90*n**5. Factor h(u).
2*(u - 1)*(u + 6)*(4*u - 1)/3
Let n(u) = 4*u**3 + 4*u**2 - 3*u**3 + 2*u - u**2. Let c be n(-2). Solve 1/2*z**2 + c + z = 0 for z.
-2, 0
Let d = -31025/23 + 1349. Factor d*i**2 + 0*i - 2/23.
2*(i - 1)*(i + 1)/23
Solve 8*l + 68/3*l**2 - 8*l**3 - 64/3 - 4/3*l**4 = 0.
-8, -1, 1, 2
Let k = 2/8679 + 182227/138864. Let t(v) be the first derivative of 3/4*v**2 - k*v**4 - 3 + 0*v - 5/4*v**3. Factor t(y).
-3*y*(y + 1)*(7*y - 2)/4
Let i(l) be the first derivative of 1 - 7/60*l**5 + 0*l + 1/3*l**3 + 5/24*l**4 - 7/2*l**2. Let t(h) be the second derivative of i(h). Factor t(f).
-(f - 1)*(7*f + 2)
Suppose -28*r - 224 = -140*r. Factor 1/4*b**r + 0 - 3/4*b.
b*(b - 3)/4
Let c(x) be the first derivative of 175*x**4/4 - 185*x**3/3 + 5*x**2 + 508. Factor c(r).
5*r*(r - 1)*(35*r - 2)
Find j such that -6*j**2 - 89*j**4 - 4*j**2 + 90*j**4 + 9*j**2 = 0.
-1, 0, 1
Suppose -4*a + v - 3 = -25, -5*v - 10 = 0. Let -20*k**2 - 8 + 10*k**4 + 4 + 14 - 5*k**a - 3*k - 2*k + 10*k**3 = 0. Calculate k.
-1, 1, 2
Let w(c) be the first derivative of 23/2*c**4 - 2*c**5 - 8*c**2 + 0*c - 20/3*c**3 + 2. Suppose w(n) = 0. What is n?
-2/5, 0, 1, 4
Let w(l) = -l**3 + 8*l**2 - 2*l + 18. Let z be w(8). Let c(q) be the first derivative of 0*q + 1/12*q**z - 1 + 5/18*q**3. Find f such that c(f) = 0.
-1/5, 0
Find y, given that 30/7*y**3 - 36/7*y**2 + 3/7*y**5 + 0 - 33/7*y + 36/7*y**4 = 0.
-11, -1, 0, 1
Let o(i) be the third derivative of i**8/1176 - 4*i**7/735 - i**6/84 + 265*i**2. Factor o(s).
2*s**3*(s - 5)*(s + 1)/7
Let n be 3*2*(-4 + 3). Let y be ((-33)/(-22))/(n/(-8)). What is l in 6*l**5 - 10*l + 5*l - 3*l**2 - 4*l**3 - 5*l**y + 3*l + 8*l**4 = 0?
-1, -1/3, 0, 1
Suppose -2/17*n**3 + 0 - 16/17*n**2 + 0*n = 0. Calculate n.
-8, 0
Let h(x) = 402*x**2 - 805*x**2 + x**3 + 412*x**2 - 6 + 17*x. Let f be h(-6). Find j such that -2/7*j + f + 2/7*j**2 = 0.
0, 1
Let q(w) be the first derivative of -5*w**4/4 - 25*w**3/3 - 20*w**2 - 20*w + 19. Suppose q(x) = 0. Calculate x.
-2, -1
Let s(d) be the third derivative of -d**6/420 + d**5/60 + 5*d**4/168 - 2*d**3/21 - 161*d**2. Factor s(n).
-(n - 4)*(n + 1)*(2*n - 1)/7
Let o(i) be the first derivative of 8*i**3/39 + 9*i**2/13 - 18*i/13 + 68. Factor o(v).
2*(v + 3)*(4*v - 3)/13
Suppose -18 = -4*w + v + 2*v, 0 = -2*w + 4*v + 14. Factor -4 + 2 - 1 + 6*s**w + 12*s - 15*s**2.
3*(s - 1)**2*(2*s - 1)
Let m = 49 + -41. Factor -3*k + m*k - 15*k**2 + 10 + 5*k**4 - 11*k**3 + 6*k**3.
5*(k - 2)*(k - 1)*(k + 1)**2
Find h such that 4/5*h**2 + 92/5*h + 168/5 = 0.
-21, -2
Let u(g) be the second derivative of 0*g**2 - 1/10*g**5 - 1/18*g**4 + g - 1/20*g**6 + 0 + 0*g**3. Find z, given that u(z) = 0.
-2/3, 0
Suppose 8 - 6/7*w**2 + 166/7*w = 0. Calculate w.
-1/3, 28
Let v be (-3)/(-4) + 154/(-280). Let z(a) be the second derivative of a - v*a**3 + 0 + 1/60*a**4 + 9/10*a**2. Find w such that z(w) = 0.
3
Factor -350*h - 6*h**3 + 338*h + 15*h**3 + 3*h**4.
3*h*(h - 1)*(h + 2)**2
Factor -14*y**3 + 72*y**2 - 26*y + 8 + 2*y**4 + 62*y**2 - 104*y**2.
2*(y - 4)*(y - 1)**3
Let p(c) = -8*c**3 - 70*c**2 - 236*c + 798. Let q(l) = -42*l**3 - 349*l**2 - 1178*l + 3989. Let d(x) = 11*p(x) - 2*q(x). Solve d(k) = 0.
-10, 2
Let a(s) be the third derivative of s**6/120 - s**5/30 - s**4/8 - 215*s**2. Factor a(h).
h*(h - 3)*(h + 1)
Let k(g) be the first derivative of 145/2*g**2 - 6 - 30*g - 15*g**3. Determine t so that k(t) = 0.
2/9, 3
Let r(a) = 8*a**5 + a**4 - 16*a**3 + 9*a. Let i(m) = 2*m**5 - 4*m**3 + 2*m. Let t(w) = 9*i(w) - 2*r(w). Factor t(u).
2*u**3*(u - 2)*(u + 1)
Let z(a) = -a**3 - 6*a**2 - 178*a - 865. Let i be z(-5). Suppose 2/9*r**2 + 2/9*r**3 + i + 0*r = 0. What is r?
-1, 0
Let w = -1/994 - -997/2982. Factor -1/3*z - 2/3 + w*z**2.
(z - 2)*(z + 1)/3
Let d(t) be the third derivative of -t**8/6720 - t**7/420 + t**6/720 + t**5/20 + 2*t**4/3 + 5*t**2. Let q(m) be the second derivative of d(m). Factor q(h).
-(h - 1)*(h + 1)*(h + 6)
Suppose -3*x + 5*z - 15 = 66, 4*x - z = -91. Let q be 20/11 - 4/x. What is f in -2*f**2 + 4*f**3 - 4*f**3 + q*f**3 = 0?
0, 1
Factor 49*v + 24*v**2 - 17*v - 12*v**3 - 5 + 1 - 4*v**4 + 4.
-4*v*(v - 2)*(v + 1)*(v + 4)
Suppose -28 = -5*k + 2*o, 8 = -3*k - 4*o - o. Suppose 3*r = 15, -q = -0*q + k*r - 22. Let 0 - 2/13*v + 2/13*v**q = 0. Calculate v.
0, 1
Let w(n) be the first derivative of 22*n**5/5 + 10*n**4 - 74*n**3/3 + 6*n**2 - 40. Find j, given that w(j) = 0.
-3, 0, 2/11, 1
Let g(f) = -f**4 + f**3 + 10*f**2 - f + 5. Let j(h) = h**3 - 3*h - 3*h - 2*h**4 + 5*h + h**4 + 9*h**2 + 4. Let d(z) = 6*g(z) - 7*j(z). What is l in d(l) = 0?
-1, 1, 2
Let h(w) be the third derivative of 1/840*w**6 + 0 + 2*w**2 - 1/168*w**4 + 0*w**3 + 1/105*w**5 + 0*w - 2/735*w**7. Factor h(a).
-a*(a - 1)*(a + 1)*(4*a - 1)/7
Let x(p) be the first derivative of 0*p + 2/3*p**3 - p**2 + 17. Let x(l) = 0. What is l?
0, 1
Let j(k) be the first derivative of 2*k**3/3 + 4*k**2 - 90. Factor j(a).
2*a*(a + 4)
Let b = -375 - -384. Let k(v) be the second derivative of 1/3*v**2 + 1/18*v**4 + b*v + 2/9*v**3 + 0. Factor k(f).
2*(f + 1)**2/3
Let i = -425409/8 + 53366. Let v = 190 - i. Factor -1/2*t - v*t**2 + 0.
-t*(t + 4)/8
Suppose 2*m + 146 = m. Let k = 1024/7 + m. What is w in 6/7 - 10/7*w + 2/7*w**2 + k*w**3 = 0?
-3, 1
Let o(b) be the first derivative of 5*b**4/4 + 85*b**3/3 + 105*b**2 - 468. Factor o(s).
5*s*(s + 3)*(s + 14)
Let k(u) be the third derivative of -u**8/336 + u**7/21 + u**6/40 - 7*u**5/15 - 5*u**4/6 - 351*u**2. Solve k(l) = 0 for l.
-1, 0, 2, 10
Let s be (35/63*10)/(10/75). Find o, given that 1/3*o**3 + 5*o**2 + 25*o + s = 0.
-5
Let i(k) be the third derivative of 0*k**3 - 1/30*k**5 - 1/36*k**4 - 6*k**2 + 0 - 1/315*k**7 - 1/60*k**6 + 0*k. Suppose i(y) = 0. What is y?
-1, 0
Let i(r) = -r - 4. Let y be i(-7). Suppose y = 4*o - 5. Factor 6*w**4 - 12*w**3 - w**4 - 4*w + 0*w**4 + 12*w**o - w**4.
4*w*(w - 1)**3
Let q(j) be the third derivative of 4/33*j**3 + 0 + 1/660*j**6 + 0*j - 11*j**2 + 1/66*j**5 + 2/33*j**4. Factor q(v).
2*(v + 1)*(v + 2)**2/11
Let d(t) be the second derivative of -t**7/147 - t**6/105 + t**5/35 + 40*t. Factor d(q).
-2*q**3*(q - 1)*(q + 2)/7
Suppose -11*r = -13*r + a, -5*a = 3*r. Let v(g) be the third derivative of -1/21*g**3 + r*g + 1/210*g**5 + 0*g**4 + 0 - 5*g**2. Factor v(s).
2*(s - 1)*(s + 1)/7
Let j(x) be the third derivative of x**8/112 - x**7/10 + 7*x**6/20 - x**5/10 - 15*x**4/8 + 9*x**3/2 + 124*x**2. Let j(h) = 0. What is h?
-1, 1, 3
Let p(o) be the third derivative of o**5/40 + 47*o**4/4 + 2209*o**3 + 38*o**2 - 2*o. Determine f so that p(f) = 0.
-94
Let t(j) = -19*j**4 + 44*j**3 - 20*j**2. Let y(s) = s**4 - s**3. Let f(u) = t(u) + 4*y(u). Factor f(h).
-5*h**2*(h - 2)*(3*h - 2)
Suppose -8/5 + 13/5*s**2 - 1/5*s**5 - 1/5*s**3 + 2/5*s - s**4 = 0. Calculate s.
-4, -2, -1, 1
Let c(n) = -n**2 - 46*n + 3. Let r(l) = -4*l**2 - 232*l + 14. Let b(k) = 28*c(k) - 6*r(k). Solve b(g) = 0 for g.
0, 26
Suppose -74*p + 155 = -43*p. Let s(h) be the third derivative of 0 + 0*h - 1/42*h**4 + 1/7*h**3 + 4*h**2 - 1/210*h**p. Factor s(z).
-2*(z - 1)*(z + 3)/7
Suppose 289 = -10*u - 7*u. Let n(i) = i**2 - 4*i + 3. Let l(b) = 0 - 8 - b**2 + 11*b - 2*b**2. Let w(z) = u*n(z) - 6*l(z). Factor w(s).
(s - 1)*(s + 3)
Let l be (-65)/(-156)*20/75. Solve l*i + 1/9*i**2 + 0 = 0.
-1, 0
Let q(w) be the second derivative of w**4/12 + w**3/3 + w**2/2 - 70*w. Suppose q(c) = 0. Calculate c.
-1
Let k(x) be the first derivative of -4*x**3/3 + 8*x**2 - 111. Factor k(a).
-4*a*(a - 4)
Let z(r) be the third derivative of 0*r + 0*r**4 + 6*r**2 + 0*r**3 + 2/245*r**7 - 1/784*r**8 + 1/70*r**5 - 1/56*r**6 + 0. Factor z(c).
-3*c**2*(c - 2)*(c - 1)**2/7
Suppose 0 = x + 3*x - 20. Determine g so that -23 + 23 + x*g**2 + 43*g - 23*g = 0.
-4, 0
Factor 0 + 8/9*p + 2/9*p**5 - 14/9*p**4 - 26/9*p**2 + 10/3*p**3.
2*p*(p - 4)*(p - 1)**3/9
Suppose 12*m = -46*m - 10*m. Factor 0*t - 4/11*t**2 + m - 2/11*t**3.
-2*t**2*(t + 2)/11
Determine q so that -36/7*q + 3/7*q**3 + 12/7*q**2 + 0 = 0.
-6, 0, 2
Suppose -8*w + 7*w + 1 = s, -3*s - 2*w = -2. Solve 1/3*y**3 + s + y - 4/3*y**2 = 0.
0, 1, 3
Let f = 753535 + -3754227/5