 = 0.
0, 6
Let q(r) be the first derivative of r**3/4 - 15*r**2/2 + 123. Find g, given that q(g) = 0.
0, 20
Find z, given that 162/5*z**2 + 1/5*z**4 + 648/5 + 108*z + 21/5*z**3 = 0.
-6, -3
Let b be -24 + 14 + -6 - -25. Factor -b*s - 3/2*s**3 + 0 + 15/2*s**2.
-3*s*(s - 3)*(s - 2)/2
Let o be 2/8 + 22/8. Suppose -3*l + 2 + 2*l + l**o + 119*l**2 - 121*l**2 = 0. Calculate l.
-1, 1, 2
Let g(z) be the first derivative of -z**5/30 + 5*z**4/24 + z**3/6 - 13*z**2/12 - 5*z/3 + 389. Factor g(m).
-(m - 5)*(m - 2)*(m + 1)**2/6
Factor -33*j**4 - 392 - 84*j + 0 - 246*j**2 + 38*j**3 + 20*j**4 + 686*j + 11*j**4.
-2*(j - 7)**2*(j - 4)*(j - 1)
Let m be (28/(-315))/(6 + -10). Let h(k) be the first derivative of 4 - 1/15*k**2 - 1/5*k**4 + 0*k + 8/75*k**5 - m*k**6 + 8/45*k**3. Let h(a) = 0. Calculate a.
0, 1
Let n(l) be the third derivative of 0 + 0*l**3 - 1/4*l**4 - 1/20*l**5 + 0*l - 19*l**2. Factor n(f).
-3*f*(f + 2)
Let v = 30541/30 + -1018. Let x(h) be the third derivative of 0 + 0*h - 2*h**2 + 0*h**5 + 0*h**4 + 0*h**3 - 2/105*h**7 + v*h**6. Solve x(a) = 0 for a.
0, 1
Let b(j) = j**4 - j**3 - 2*j**2. Let n(r) = 5*r**5 - 31*r**4 - 39*r**3 + 217*r**2 + 160*r - 300. Let w(q) = -6*b(q) - n(q). Determine k, given that w(k) = 0.
-2, 1, 3, 5
Factor 1/2*w**2 - 3 - 1/2*w.
(w - 3)*(w + 2)/2
Let v be ((-42)/(-4))/((-16)/(-32)). Let o = -17 + v. Factor 4*m**3 + 4*m**4 - 8*m + 0*m**4 - o*m**2 + 4*m**3.
4*m*(m - 1)*(m + 1)*(m + 2)
Let 141/2*i - 30*i**2 + 33 = 0. What is i?
-2/5, 11/4
Solve -26/7*q**2 + 26/7*q + 6/7*q**3 - 6/7 = 0 for q.
1/3, 1, 3
Let z(n) = -n**2 + 26*n - 67. Let i be z(3). Let a(p) be the third derivative of 0 + 3*p**i + 1/10*p**5 + 0*p + 1/60*p**6 + 1/4*p**4 + 1/3*p**3. Factor a(u).
2*(u + 1)**3
Let k(l) = -l**3 + l. Let b(z) be the third derivative of 7*z**6/120 + z**5/5 + z**4/3 - z**2. Let i = -420 - -419. Let h(m) = i*b(m) - 4*k(m). Factor h(u).
-3*u*(u + 2)**2
Let l(y) = -60*y - 160. Let z(t) = t**2 - 62*t - 160. Let w(c) = 4*l(c) - 5*z(c). What is v in w(v) = 0?
-2, 16
Suppose 2 = -k, 2*w + k - 8 = 3*k. Factor 6*b + 0 - 34*b**3 + 8 - 2*b**3 + 6*b**5 - 3*b**4 + 1 - 30*b**w.
3*(b - 3)*(b + 1)**3*(2*b - 1)
Let u(p) = p**3 - 10*p**2 + 7*p + 20. Let q be u(9). Let z(w) be the second derivative of -1/27*w**4 + 0 - 2*w + 1/30*w**5 - 2/9*w**q - 7/27*w**3. Factor z(v).
2*(v - 2)*(v + 1)*(3*v + 1)/9
What is c in 0*c + 5/6*c**2 + 0 - 1/6*c**3 = 0?
0, 5
Let 0*s - 136/7*s**2 - 4/7*s**3 + 0 = 0. Calculate s.
-34, 0
Let r = 3310/4983 + 4/1661. Find b such that -4/3 - 2/3*b + r*b**2 = 0.
-1, 2
Let n(k) be the first derivative of k**5/40 - 7*k**4/24 + 2*k**3/3 + 4*k**2 + 31*k - 20. Let a(o) be the first derivative of n(o). Factor a(y).
(y - 4)**2*(y + 1)/2
Solve 36/11 + 15/11*i + 1/11*i**2 = 0.
-12, -3
Suppose 48*c = 63*c - 30. What is i in 0 - 2/7*i + 1/7*i**c = 0?
0, 2
Let l(k) be the third derivative of 5/2*k**3 + 0*k + 1/12*k**5 + 5/6*k**4 + 0 + k**2. Factor l(y).
5*(y + 1)*(y + 3)
Find x, given that 120*x**2 + x**4 - 9*x**3 - 2*x**3 + 0*x**3 - 140*x - 6*x**4 - 4*x**3 = 0.
-7, 0, 2
Suppose 6*k - 41 + 29 = 0. Suppose -2*x - k = -i, 3 = -i - 4*x - 1. Find o such that -4/3*o - 7*o**3 + 11/3*o**4 + 16/3*o**2 - 2/3*o**5 + i = 0.
0, 1/2, 1, 2
Find h such that -4*h**2 + 4/7*h**5 + 16/7 - 3/7*h**4 + 60/7*h - 7*h**3 = 0.
-2, -1/4, 1, 4
Let r(n) be the third derivative of 25*n**8/1176 + 8*n**7/49 + 53*n**6/140 + 38*n**5/105 + n**4/7 - 3*n**2 - 8*n. Let r(t) = 0. What is t?
-3, -1, -2/5, 0
Let p = -445 + 450. Let i(j) be the second derivative of 7*j + 0 + 1/18*j**3 + 3/20*j**p + 1/6*j**4 + 0*j**2. Factor i(x).
x*(3*x + 1)**2/3
Let h(a) be the third derivative of a**8/1176 - 2*a**7/105 + 2*a**6/35 + a**5/105 - 25*a**4/84 + 4*a**3/7 + 48*a**2 + 1. Suppose h(f) = 0. Calculate f.
-1, 1, 12
Suppose 3*g + s = 6, g + 0 = 3*s + 2. Determine r so that 1/3*r**3 - 2/3*r - 1/6*r**g + 1/2 = 0.
-3/2, 1
Let l = -475 + 475. Let b(i) be the first derivative of -3*i + 0*i**2 + 2*i**3 + 12 + l*i**4 - 3/5*i**5. Factor b(n).
-3*(n - 1)**2*(n + 1)**2
Let u(h) be the second derivative of 0*h**3 + 2/15*h**6 - 2/3*h**4 + 0*h**5 + 2*h**2 - 12*h + 0. Factor u(c).
4*(c - 1)**2*(c + 1)**2
Let o be 3*(-1 + -2)/3 + 1. Let g be (o - -3)/(9/6). Factor 2/3*u**4 + 4/3*u**3 - g*u**2 + 0 - 4/3*u.
2*u*(u - 1)*(u + 1)*(u + 2)/3
Solve -117*x**2 + 73*x**3 + 131*x - 3*x**4 - 40*x**3 + 4*x = 0.
0, 3, 5
Factor -3*m**2 - 64 - 59 + m**4 - 2*m**3 + 123.
m**2*(m - 3)*(m + 1)
Let d(p) be the third derivative of p**6/900 - p**5/150 - 24*p**2 - 2*p. Let d(q) = 0. Calculate q.
0, 3
Suppose 4*y + 40*k - 24 = 38*k, 3*y + 5*k - 25 = 0. Factor -4/5*i**4 + 0 + 4/5*i**2 + 2/5*i**y - 2/5*i + 0*i**3.
2*i*(i - 1)**3*(i + 1)/5
Let d(b) = 2*b**2 - 3*b - 2. Let s(z) = -6*z - 2. Let x be s(-2). Let c(g) = -10*g + 1 + 9*g**2 - x - 3*g. Let w(a) = -6*c(a) + 26*d(a). Factor w(k).
-2*(k - 1)*(k + 1)
Let o(t) = -153*t - 7650. Let i be o(-50). Solve i*y**3 - 2*y**2 + 0 - 1/2*y**5 + 0*y + 3/2*y**4 = 0 for y.
-1, 0, 2
Let j = -242 - -251. Suppose 0 = -3*l - 5*v + j, -5*v - 5 = -3*l + 4. Suppose -250*x**4 + 128/7*x - 1600/7*x**l + 32/7 - 240/7*x**2 = 0. What is x?
-2/5, 2/7
Let z be 5/(5/2) + 1 + -1. Determine a, given that -144*a**4 + 153*a**4 + 9*a**3 + 3*a**5 + a**z + 2*a**2 = 0.
-1, 0
Let c(m) = m**4 - 6*m**3 - 24*m**2 - 22*m - 11. Let d(a) = 2*a**4 - 5*a**3 - 25*a**2 - 21*a - 12. Let f(w) = 3*c(w) - 2*d(w). Factor f(h).
-(h + 1)**2*(h + 3)**2
Let w(p) be the third derivative of -p**8/24 + 6*p**7/35 - 109*p**6/420 + 6*p**5/35 - p**4/21 + 95*p**2. Factor w(z).
-2*z*(z - 1)**2*(7*z - 2)**2/7
Let y(w) be the second derivative of 0*w**2 - 1/2340*w**6 + 0 + 9*w + 0*w**4 - 1/390*w**5 - 4/3*w**3. Let c(z) be the second derivative of y(z). Solve c(p) = 0.
-2, 0
Let f(z) = -6*z**3 - 2*z**2 - 5*z + 16. Let p(y) = 7*y**3 + 2*y**2 + 7*y - 18. Let c(o) = -6*f(o) - 5*p(o). Find k such that c(k) = 0.
-3, -1, 2
Solve 0 + 1 - 36*x**2 + 5 + 3 - 3 + 69*x = 0 for x.
-1/12, 2
Let t(f) be the first derivative of -6 + 1/28*f**4 - 24/7*f - 2/21*f**3 - 10/7*f**2. Solve t(a) = 0.
-2, 6
Let k(z) = z**2 + z + 1. Let n(y) = -y**2 - y. Let t(s) = 7*s**2 + 7*s + 7. Let u(p) = 6*n(p) + t(p). Let d(i) = 3*k(i) - u(i). What is v in d(v) = 0?
-2, 1
Let i = 1709 - 10253/6. Let b(t) be the second derivative of -2/3*t**3 + 0*t**2 - i*t**4 + 9*t + 0. Factor b(u).
-2*u*(u + 2)
Let t(l) = -2*l**2. Let i(v) = -42*v**2 + 30*v - 32. Let q(b) = -2*i(b) + 44*t(b). Suppose q(z) = 0. What is z?
-16, 1
Let y(x) be the first derivative of -8/5*x**5 + 32/3*x**3 - 2/3*x**6 + 3 + 14*x**2 + 8*x + 2*x**4. Suppose y(o) = 0. What is o?
-1, 2
Let w = 6568/16445 - -2/3289. Factor -2*h**2 - w*h - 18/5*h**3 + 0 - 4/5*h**5 - 14/5*h**4.
-2*h*(h + 1)**3*(2*h + 1)/5
Let t be (-195)/(-3) + 4/((-4)/1). Suppose -26*b**2 + t*b + 49*b**3 - 2*b**2 - 45*b**3 - 48 = 0. What is b?
2, 3
Let k(p) be the third derivative of p**6/360 + p**5/60 - p**3/3 + 6*p**2. Let z(g) be the first derivative of k(g). Factor z(y).
y*(y + 2)
Solve -3*n**2 - 4*n**2 + 293*n**3 - 15*n**5 - 5*n**2 + 4*n**4 - 55*n**4 - 341*n**3 = 0.
-2, -1, -2/5, 0
Factor 275*x**2 + 1051*x**3 + 4*x**4 - 800*x + 500 + 276*x**2 - 1115*x**3 - 191*x**2.
4*(x - 5)**3*(x - 1)
Let c(j) be the second derivative of j**6/12 - 3*j**5/4 - 85*j**4/24 - 5*j**3 + 28*j**2 - 35*j. Let b(s) be the first derivative of c(s). Factor b(h).
5*(h - 6)*(h + 1)*(2*h + 1)
Let y be 1 - (-133)/2 - (1 - 0). Let q = y + -66. Find n, given that -q*n**2 + 0*n + 1/2*n**3 - 1/2*n**5 + 0 + 1/2*n**4 = 0.
-1, 0, 1
Let u(y) be the first derivative of 2*y**3/3 - 124*y**2 + 7688*y + 529. Factor u(n).
2*(n - 62)**2
Let y be (-1)/7 - (-218)/7. Suppose 4 - 25*u - 8 - 2*u**2 + y*u = 0. What is u?
1, 2
Let v(s) be the first derivative of s**4/138 + s**3/23 + 2*s**2/23 - 21*s + 34. Let p(m) be the first derivative of v(m). Factor p(j).
2*(j + 1)*(j + 2)/23
Let h(k) be the first derivative of -2*k**6/15 + 96*k**5/25 - 118*k**4/5 - 416*k**3/5 - 338*k**2/5 - 307. Determine g, given that h(g) = 0.
-1, 0, 13
Let d(k) be the third derivative of k**6/960 - 5*k**5/16 + 625*k**4/16 - 15625*k**3/6 + 459*k**2. Solve d(i) = 0 for i.
50
Let a(t) = 9*t**2 - 21*t - 9. Let u(h) = h**2 - 2*h - 1. Suppose 6*q - 14*q + 16 = 0. Let d(r) = q*a(r) - 21*u(r). What is o in d(o) = 0?
-1, 1
Let b(n) = -8*n**2 - 61*n + 3. Le