/9 - 2*b - 8/3*b**2 = 0.
-1, -2/5
Suppose 2*f = 7*f - 130. Solve 4*c**5 + f*c - 4*c**4 - 26*c - 8*c**5 = 0.
-1, 0
Let u be -10 + (-748)/(-33) + -11. Let z(q) be the first derivative of -q - u*q**3 + 10 + 0*q**5 + 15/8*q**2 + 5/8*q**4 - 1/24*q**6. Factor z(j).
-(j - 1)**4*(j + 4)/4
Let s(k) be the third derivative of -k**6/480 + 29*k**5/240 - 13*k**4/12 + 25*k**3/6 + 113*k**2 + 3*k. Factor s(m).
-(m - 25)*(m - 2)**2/4
Suppose -16*m - 60 = -14*m - 6*d, 40 = 5*m + 4*d. Solve -1/4*x**2 - 1/4*x**4 + 1/2*x**3 + 0*x + m = 0 for x.
0, 1
Suppose -299*d**3 + 43*d**3 - 248*d**2 - 34*d - 64*d**3 + 20*d**3 + 2*d = 0. What is d?
-2/3, -4/25, 0
Let -1/2*q**3 - 31/2*q**2 - 112*q + 128 = 0. Calculate q.
-16, 1
Let o(n) be the second derivative of n**7/630 + n**6/90 - n**5/10 + 11*n**4/6 + 12*n. Let t(i) be the third derivative of o(i). What is s in t(s) = 0?
-3, 1
Let l(i) be the second derivative of -i**8/1260 - i**7/315 - i**6/270 - 8*i**3/3 - 29*i. Let b(h) be the second derivative of l(h). Factor b(y).
-4*y**2*(y + 1)**2/3
Let p(g) be the third derivative of 0*g**4 - 1/70*g**7 + 0 + 0*g**3 + 0*g - 1/10*g**5 - 7*g**2 - 3/40*g**6. Factor p(b).
-3*b**2*(b + 1)*(b + 2)
Let v(m) be the second derivative of -m**6/6 + 3*m**5/4 + 5*m**4/3 - 10*m**3 + m - 44. Determine n so that v(n) = 0.
-2, 0, 2, 3
Let z(d) = -17*d**5 - 26*d**4 + 13*d**3 + 24*d**2 - 2*d - 6. Let n(a) = 2*a**5 + a**4 + 2*a**3 - a + 3. Let h(o) = -2*n(o) - z(o). Suppose h(p) = 0. What is p?
-2, -1, 0, 2/13, 1
Factor 3/4*r**3 + 0 + 147/4*r**2 - 75/2*r.
3*r*(r - 1)*(r + 50)/4
Let n = 98 - 94. Suppose 29*g**2 + 2 + 13*g - 9*g**2 - 4*g + 14*g**3 + g**5 + 6*g**4 - n*g**2 = 0. What is g?
-2, -1
Suppose 4/7*g - 30/7*g**4 + 30/7*g**2 + 0 - 4/7*g**3 = 0. Calculate g.
-1, -2/15, 0, 1
Suppose 201 = -11*d + 652. Let c = d + -122/3. Suppose -1/3*o**3 - o + o**2 + c = 0. Calculate o.
1
Let k(b) = b**3 - 7*b**2 + 9*b + 8. Let x be k(5). Let i = 3 + -1. Let -i*v**3 + 16 - 2*v**4 - 12*v**2 + v + 13*v**x - 9*v - v**3 = 0. Calculate v.
-1, 2
Factor 0 + 1/5*j**2 - 2/5*j.
j*(j - 2)/5
Suppose -3*d = 9*d - 24. Suppose -5*a + o = -23, -d*a - 11 = -4*a + o. Find u, given that 3/7*u**3 + 9/7*u**a + 0 + 0*u**2 + 0*u = 0.
-1/3, 0
Let c(l) be the second derivative of 10/21*l**3 - 1/21*l**4 + 0*l**2 + 0 + 20*l. Factor c(t).
-4*t*(t - 5)/7
Let s(q) be the second derivative of q**6/180 + 7*q**5/540 - q**4/54 + 7*q**3/2 + 2*q. Let k(n) be the second derivative of s(n). Suppose k(h) = 0. What is h?
-1, 2/9
Determine u, given that 166*u**4 + 914*u**2 + 28*u**5 + 108*u**4 + 72 + 761*u + 776*u**3 - 305*u = 0.
-6, -3/2, -1, -2/7
Let s = 2 + -2. Let x be 15 + (-5)/(20/52). Factor s*n**3 + 0*n - 8/9*n**x + 4/9 + 4/9*n**4.
4*(n - 1)**2*(n + 1)**2/9
Let w(z) be the second derivative of -z**4/48 - 79*z**3/12 - 168*z. Find b, given that w(b) = 0.
-158, 0
Factor -9/5 + 9/5*m**2 + 3/5*m - 3/5*m**3.
-3*(m - 3)*(m - 1)*(m + 1)/5
Let u(q) be the second derivative of -q**5/4 + 55*q**4/6 - 205*q**3/6 + 50*q**2 - 135*q. Factor u(o).
-5*(o - 20)*(o - 1)**2
Let q(t) be the third derivative of t**6/120 - 3*t**5/10 + 27*t**4/8 - 624*t**2. What is p in q(p) = 0?
0, 9
Let i(u) = -u**3 - 6*u**2 + 13*u - 7. Let l be i(-8). Factor l + 41 - 4*n**3 - 36*n**2 - 60*n + 16 + 26.
-4*(n - 1)*(n + 5)**2
Let n be (-50)/72 + -21*3/(-84). Let x(v) be the third derivative of -1/360*v**6 + 6*v**2 - 1/60*v**5 - n*v**3 + 0 - 1/24*v**4 + 0*v. Factor x(j).
-(j + 1)**3/3
Let l be ((-12)/16)/((-29)/4 + 2). Let n(u) be the third derivative of 0*u - 1/56*u**4 + 1/140*u**5 - l*u**3 - 3*u**2 + 0. Factor n(k).
3*(k - 2)*(k + 1)/7
Let j = 705 + -700. Let q(v) be the second derivative of 1/135*v**6 + 0 - 11*v - 3*v**2 + 0*v**3 + 4/45*v**j + 1/3*v**4. Suppose q(b) = 0. What is b?
-3, 1
Let q(u) be the third derivative of 0 + 0*u + 1/336*u**8 + 20*u**2 + 1/6*u**4 + 13/120*u**6 + 1/35*u**7 + 1/5*u**5 + 0*u**3. What is t in q(t) = 0?
-2, -1, 0
Let y = -2193 - -2195. Determine q, given that 3/4 + 9/8*q**y + 21/8*q = 0.
-2, -1/3
Let p(x) be the second derivative of x**7/420 - 2*x**6/75 + x**5/40 + 5*x**4/12 + 531*x. Determine r so that p(r) = 0.
-2, 0, 5
Let c(y) be the second derivative of -y**10/15120 + y**9/1764 - 3*y**8/1960 + 2*y**7/2205 - y**4 - 7*y. Let k(v) be the third derivative of c(v). Factor k(w).
-2*w**2*(w - 2)**2*(7*w - 2)/7
Let i = -87 - -115. Determine c so that 34 + 0 - 3 + i*c**2 + 4*c**3 + 1 + 56*c = 0.
-4, -2, -1
Let i(g) be the first derivative of 7*g**6/3 - 18*g**5/5 - 13*g**4 + 24*g**3 - 8*g**2 - 76. Solve i(d) = 0.
-2, 0, 2/7, 1, 2
Let h(r) be the second derivative of r**7/168 + 2*r**6/15 + 11*r**5/10 + 14*r**4/3 + 34*r**3/3 + 16*r**2 - 141*r + 1. Factor h(v).
(v + 2)**4*(v + 8)/4
Find p such that 4/3*p**3 - 1 + 3*p**2 - 10/3*p = 0.
-3, -1/4, 1
Let l(f) = 3*f**4 - 55*f**3 + 49*f**2 + 51*f - 52. Let q(s) = -15*s**4 + 277*s**3 - 247*s**2 - 255*s + 262. Let m(k) = -11*l(k) - 2*q(k). Factor m(z).
-3*(z - 16)*(z - 1)**2*(z + 1)
Suppose 110*r = 106*r + 96. Suppose -201*l**3 + 20*l - 190*l**3 + 395*l**3 - r*l**2 = 0. What is l?
0, 1, 5
Solve 21*j**2 + 6*j**3 - 9*j - 21*j**3 + 3*j**4 + 0*j = 0 for j.
0, 1, 3
Determine g so that 56/3*g - 1/3*g**2 - 55/3 = 0.
1, 55
Factor -35/8*i**2 + 9/2 + 3/2*i - 1/8*i**4 - 3/2*i**3.
-(i - 1)*(i + 1)*(i + 6)**2/8
Let a(r) = -3*r**2 + 2*r - 1. Let y be a(1). Let h be ((-3)/y)/((-3)/(-4)). What is f in -7/3*f**3 - 2/3*f + 0 - 3*f**h = 0?
-1, -2/7, 0
Let k(m) = -230*m**2 + 3*m + m + 122*m**2 + 113*m**2. Let f(w) = 4*w**2 - 2*w - 3*w**2 + 3*w. Let a(x) = -4*f(x) + k(x). Factor a(j).
j**2
Suppose -10 = -i - 0. Let k(c) = 31 + 9*c + i*c - 3*c**2 - 3*c**3 - 10*c**2. Let s(f) = 2*f**3 + 9*f**2 - 13*f - 21. Let t(q) = 5*k(q) + 7*s(q). Factor t(j).
-(j - 2)*(j + 2)**2
Suppose -5*b - 2*j - 23 = 0, 2*b + 1 = 4*j + 11. Let x be (b - 3)/3 - (-96)/44. Determine u so that -4/11*u**5 + 0*u - x*u**3 + 0*u**2 + 0 - 6/11*u**4 = 0.
-1, -1/2, 0
Suppose 2/3*s**4 + 0 - 14/3*s**3 + 4*s**2 + 0*s = 0. Calculate s.
0, 1, 6
Suppose 0 = o + 2*o - 2841. Factor -81*d**2 + 30*d**3 + 51*d - 15*d**4 + 935 + 27*d**3 - o.
-3*(d - 1)**3*(5*d - 4)
Suppose -4*i**3 + 13*i**2 + 2*i**3 + 4*i - 4*i**4 - 11*i**5 + 15*i**5 - 6*i**3 - 4 - 5*i**2 = 0. Calculate i.
-1, 1
Let a = -48 - -48. Let n be (-195)/(-27) + -7 - (0 - a). Solve 0*h**2 - n*h + 0 + 2/9*h**3 = 0.
-1, 0, 1
Find g such that -32*g**2 - 3*g**3 - 32*g**2 + 194*g + 6*g**3 - g**3 + 318*g = 0.
0, 16
Let j(q) be the first derivative of -35/3*q**3 + 7*q**5 + 2 + 5/2*q**2 + 0*q - 5/4*q**4. Solve j(t) = 0.
-1, 0, 1/7, 1
Let w(v) be the first derivative of 5*v**5/3 - 95*v**4/3 + 428*v**3/3 + 608*v**2/3 + 256*v/3 + 106. Factor w(o).
(o - 8)**2*(5*o + 2)**2/3
Let k be (19 - (25 + -10)) + -11 + -2 - -11. Factor 48/19*g**k - 18/19*g - 32/19*g**3 + 2/19.
-2*(g - 1)*(4*g - 1)**2/19
Find x such that 1025*x - 384 - 2466*x + 101*x + 5*x**2 + 9*x**2 = 0.
-2/7, 96
Factor 43 + 68 + 5*j**2 - 3 - 18 - 55*j.
5*(j - 9)*(j - 2)
Let y = 3 - 0. Solve 3*u**2 + 6*u - 2*u + 5*u**2 + 2*u**y - 2*u**2 = 0 for u.
-2, -1, 0
Let c = -18/5 - -77/20. Let n = 2 - 7/4. Find s such that 0 - 1/4*s**4 + 0*s + n*s**5 - c*s**3 + 1/4*s**2 = 0.
-1, 0, 1
Factor -9*d**2 - 10*d**3 + 4*d**4 + 0*d**4 - d**3 + d**2 + 15*d**3.
4*d**2*(d - 1)*(d + 2)
Let u(c) be the second derivative of -12*c + 0*c**2 + 3/40*c**5 + 1/252*c**7 + 0 - 1/36*c**6 + 1/18*c**3 - 7/72*c**4. Determine z so that u(z) = 0.
0, 1, 2
Let f(h) be the third derivative of h**7/1260 + h**6/180 - h**5/20 - 5*h**4/12 + 9*h**2. Let o(s) be the second derivative of f(s). Factor o(u).
2*(u - 1)*(u + 3)
Let r(a) = 2*a**2 + a + 1. Let u be r(-2). Suppose -4*q - u = -19. Factor 2 + g**2 + g - 3*g + 2*g**3 - q*g.
(g - 1)*(g + 2)*(2*g - 1)
Let o = 128 - 116. Factor 25/2 + 5/4*g**3 - o*g**2 + 105/4*g.
(g - 5)**2*(5*g + 2)/4
Let f(q) = -q**2 - 11*q - 27. Let v be f(-6). Factor -3*x**4 + 10*x - x**4 - x**4 + x**3 + 19*x**v - 25*x**2.
-5*x*(x - 2)*(x - 1)**2
Let a(q) = q**3 + 10*q**2 + 2*q + 22. Suppose 5*n + 43 = -7. Let z be a(n). Determine h so that -4/5*h - 2/5*h**z - 2/5 = 0.
-1
Let o(u) be the first derivative of 5*u**3/3 + 60*u**2 + 162. Factor o(d).
5*d*(d + 24)
Let r(c) be the second derivative of 0 - 14*c - 1/66*c**4 + 0*c**2 + 2/33*c**3. Factor r(t).
-2*t*(t - 2)/11
Let g(t) = 28*t**2 + 176*t + 16. Let d(p) =