**h.
2*b*(b + 1)**2/11
Let u be (-320)/(-954) + 20/(-90). Let z = 147/106 + u. Factor z*r**2 + 0*r + 0.
3*r**2/2
Suppose 14*j - 10*j = -h - 20, -5*h + 5*j = -25. Factor 1/2*v**5 + 1/2*v + 0*v**2 + h - v**3 + 0*v**4.
v*(v - 1)**2*(v + 1)**2/2
Let x(v) be the first derivative of 3*v**5/25 + 3*v**4/10 + v**3/5 - 11. Factor x(q).
3*q**2*(q + 1)**2/5
Let n(p) be the first derivative of 2*p**5/35 - p**4/14 + 11. Suppose n(u) = 0. What is u?
0, 1
Let g be (-10)/105*3/(-30). Let v(o) be the second derivative of 0 + 1/15*o**3 + 2/75*o**6 + 0*o**5 + 3*o + 0*o**2 - 1/15*o**4 - g*o**7. Factor v(c).
-2*c*(c - 1)**3*(c + 1)/5
Let z be (8/(-5))/(98/(-35)). Let -z*c**2 + 4/7 - 2/7*c + 2/7*c**3 = 0. Calculate c.
-1, 1, 2
Let u(c) be the second derivative of -c**5/140 - c**4/12 - 4*c**3/21 + 8*c**2/7 - 14*c. Find a, given that u(a) = 0.
-4, 1
Suppose -15 = 2*m - 7*m. Let j(v) be the second derivative of 2*v + 0*v**m + 1/4*v**2 - 1/24*v**4 + 0. Factor j(s).
-(s - 1)*(s + 1)/2
Let c(n) be the third derivative of n**6/72 + n**5/36 - 5*n**4/36 - 9*n**2. Factor c(g).
5*g*(g - 1)*(g + 2)/3
Solve 7/10*f + 0 + 1/10*f**3 + 4/5*f**2 = 0 for f.
-7, -1, 0
Suppose 0 = -f + 4*m + 8, 2*f + 17*m - 4 = 19*m. Let f - s - 7/3*s**2 = 0. Calculate s.
-3/7, 0
Let f = -654/7 + 93. Let y = f + 13/14. Suppose d**2 + 0 + y*d**3 + 1/2*d = 0. What is d?
-1, 0
Let p be (34/(-32))/((-4)/80). Let x = -21 + p. Solve 1/2*c**2 - 1/4*c - 1/4 - 1/4*c**5 + 1/2*c**3 - x*c**4 = 0.
-1, 1
Factor -4*o**2 + 8*o**2 + 0*o**2 - 2*o**2 + 6 + 8*o.
2*(o + 1)*(o + 3)
Factor -2/9*t**4 - 2/9*t**3 + 2/9*t**2 + 0 + 2/9*t.
-2*t*(t - 1)*(t + 1)**2/9
Suppose -8*y + 0 = -24. Factor -4/7*h**2 - 8/7 + 2*h - 2/7*h**y.
-2*(h - 1)**2*(h + 4)/7
Let x(u) = -4*u**2 + u - 3. Let d(o) = -3*o**2 + 2*o - 2. Let g(q) = q. Let t(z) = d(z) - 2*g(z). Let b(w) = 3*t(w) - 2*x(w). Find l, given that b(l) = 0.
-2, 0
Let i(f) = -2 + 2*f**2 - f + f**3 + 2 - 2*f**3. Let d be i(1). Factor -1/2*n**5 + 1/4*n**2 + d - 3/4*n**4 + 0*n**3 + 0*n.
-n**2*(n + 1)**2*(2*n - 1)/4
Let t = 2/61 + 116/183. Determine n so that -t + 2/3*n**2 + 0*n = 0.
-1, 1
Suppose 10/7*s + 12/7 + 2/7*s**2 = 0. Calculate s.
-3, -2
Suppose x = 2*x - 3. Suppose 20 = 2*g + 4*n, x*g - 5 = 2*n + 1. What is i in 0*i - i**3 - i**g + 0*i**4 + i**2 + i = 0?
-1, 0, 1
Let n(h) = -h**2 - 8*h - 5. Let d be n(-7). Suppose -2*i + 4*i = 4. Factor d + 49/2*p**i - 14*p.
(7*p - 2)**2/2
Let d(u) be the first derivative of -u**4/7 + 20*u**3/7 - 150*u**2/7 + 500*u/7 + 18. Find l, given that d(l) = 0.
5
Let b(p) be the first derivative of -p**6/15 - 2*p**5/25 + 3*p**4/10 + 2*p**3/15 - 2*p**2/5 - 21. Solve b(v) = 0.
-2, -1, 0, 1
Let x(r) be the second derivative of -4*r**4/21 - 10*r**3/21 - 2*r**2/7 + 9*r. Solve x(k) = 0 for k.
-1, -1/4
Let w(l) be the first derivative of -2*l**5/5 + l**4/2 + 4*l**3/3 - 5. Factor w(q).
-2*q**2*(q - 2)*(q + 1)
Let o(s) = 1. Let a(y) = 2*y**2 + 3. Let d = -6 + 4. Let j be (30/(-3))/d*-1. Let z(m) = j*o(m) + a(m). Factor z(c).
2*(c - 1)*(c + 1)
Let s = 8 + -6. Solve -3/4*p + 0 - 3/4*p**3 - 3/2*p**s = 0.
-1, 0
Let s be 24/11 - 2 - 72/(-1056). Factor 0 - 1/4*y**4 + 1/4*y**2 - 1/4*y**3 + s*y.
-y*(y - 1)*(y + 1)**2/4
Let d(x) be the first derivative of 2/5*x - 2 + 2/5*x**3 + 4/5*x**2. Solve d(w) = 0.
-1, -1/3
Determine v so that -3/7*v**4 + 2*v**2 - 2/7*v**5 - 12/7*v + 11/7*v**3 - 8/7 = 0.
-2, -1/2, 1, 2
Let q be (-428)/(-80) - 1/(-4). Suppose -4*w = -2*b + 12 + 2, -b + w = -6. Factor 32/5*t**2 + 18/5*t + 2/5*t**b + 4/5 + 12/5*t**4 + q*t**3.
2*(t + 1)**4*(t + 2)/5
Let q(k) be the second derivative of -k**4/108 + k**3/27 + 9*k. Factor q(x).
-x*(x - 2)/9
Let b(p) be the second derivative of p**6/45 + p**5/105 + 5*p. Factor b(c).
2*c**3*(7*c + 2)/21
What is g in -142 + 4*g**3 - 16*g**2 + 16*g + 142 = 0?
0, 2
Let z = 107 + -107. Let 10/9*m**5 - 2/3*m**3 - 4/9*m + 14/9*m**2 + z - 14/9*m**4 = 0. What is m?
-1, 0, 2/5, 1
Let b(y) be the second derivative of -2*y**7/735 + 23*y**6/630 - y**5/7 - 3*y**4/14 - 5*y**3/3 - 3*y. Let o(a) be the second derivative of b(a). Solve o(k) = 0.
-1/4, 3
Let k(i) = -i**3 - 6*i**2 - 2*i - 8. Let m be k(-6). Factor -3*s**3 + s**3 - 4 - 2*s - 2*s**4 + 2*s**2 + m*s + 4*s**2.
-2*(s - 1)**2*(s + 1)*(s + 2)
Factor 75 - 46*g - 8*g**3 + 44*g**2 - 63 - 2*g**3.
-2*(g - 3)*(g - 1)*(5*g - 2)
Let h be 32/3 - 0*6/48. Factor 80/3*p**3 + 2/3 + 22*p**2 + 20/3*p + h*p**4.
2*(p + 1)**2*(4*p + 1)**2/3
Let a(z) be the third derivative of -1/48*z**4 + 0 + 0*z + 0*z**3 + 1/80*z**6 - 7*z**2 - 1/60*z**5. Let a(n) = 0. What is n?
-1/3, 0, 1
Suppose 5*f + 12 = 32. Let i = 465 - 4181/9. Solve -i*d**3 + 2/9*d**f + 0 + 2/9*d**2 + 0*d = 0 for d.
0, 1
Let d(w) be the first derivative of -8*w + 2*w**3 - w**4 + 3 - 2/5*w**5 + 4*w**2. Factor d(l).
-2*(l - 1)**2*(l + 2)**2
Let v(d) be the second derivative of 2*d**6/15 - d**4 + 4*d**3/3 - 10*d. Factor v(p).
4*p*(p - 1)**2*(p + 2)
Let h(f) be the second derivative of -1/18*f**4 + 0 + 0*f**2 + 1/18*f**3 + 4*f + 1/60*f**5. Let h(q) = 0. Calculate q.
0, 1
Let v(i) be the first derivative of 0*i**2 + 6 + 1/2*i**4 - 1/5*i**5 + 0*i - 1/3*i**3. Let v(g) = 0. Calculate g.
0, 1
Suppose -5*a = -5*g + 4*g - 24, 0 = -2*a + 4*g + 24. Suppose -2*v = 2*o + 3*v - 23, a*o = 5*v + 1. Factor u**2 + 0*u**3 + 0*u - 1/2*u**o - 1/2.
-(u - 1)**2*(u + 1)**2/2
Let y(m) be the second derivative of -m**5/100 + m**4/20 - m**3/10 + m**2/10 + m. Find c such that y(c) = 0.
1
Let a(d) = -2*d**4 + 11*d**3 - 6*d**2 - 4. Let v(k) = -k**4 + k**3 + 1. Let b(c) = -a(c) - 4*v(c). What is n in b(n) = 0?
0, 1/2, 2
Let a be 13/((-2)/((-4)/2)). Suppose 1 = -4*q + a. Determine b so that 2*b**5 + 0*b**5 + q*b**4 + b**4 + 2*b**3 = 0.
-1, 0
Factor 0 - 18/5*j**2 - 3/5*j.
-3*j*(6*j + 1)/5
Let z(d) be the first derivative of -d**5 - d**4/2 + 5*d**3/3 + d**2 - 16. Suppose z(g) = 0. What is g?
-1, -2/5, 0, 1
Let x(k) be the first derivative of -14*k**5/5 - 6*k**4 + 22*k**3/3 + 12*k**2 - 8*k - 32. Let x(s) = 0. Calculate s.
-2, -1, 2/7, 1
Let u(r) = -6*r**2 - 5*r + 1. Let g(m) = -m**2 - m. Let s(y) = 5*g(y) - u(y). Let f be s(2). Let 0 - 2/5*d**4 + 0*d - 2/5*d**2 - 4/5*d**f = 0. What is d?
-1, 0
Factor -3*h**3 - 5*h**4 + 20*h**2 - 3*h - 2*h**3 + 7*h + 16*h.
-5*h*(h - 2)*(h + 1)*(h + 2)
Determine c, given that 6*c - 3*c**2 - 6*c + 0*c = 0.
0
Let o(v) be the first derivative of -5*v**3/3 - 10*v**2 - 15*v + 22. Factor o(m).
-5*(m + 1)*(m + 3)
Let t(p) = -5*p**2 - 33*p - 9. Let z(u) = 2*u**2 + 11*u + 3. Let g(q) = -6*t(q) - 17*z(q). Factor g(y).
-(y - 3)*(4*y + 1)
Let t(j) = j**3 + j**2 + j. Let a(l) = 10*l**4 + 21*l**3 + 15*l**2 + l. Let q(f) = 2*a(f) + 6*t(f). Find z, given that q(z) = 0.
-1, -2/5, 0
Suppose 3*j - 3 = 0, -2*m - 2*j = -0*m + 6. Let d be 9 + m/((-8)/(-6)). Factor d*s**3 + 0*s**3 - 2*s**2 - 2*s**4 + 2*s - 4*s**2.
-2*s*(s - 1)**3
Let r = 2 + 2. Suppose -5*k = 4*m - 10, 5*m + r*k - 11 + 3 = 0. Factor 6/7*h + 4/7 + m*h**2 - 2/7*h**3.
-2*(h - 2)*(h + 1)**2/7
Factor 5*f**2 + 17 - 33*f + 6 + 13*f - 3.
5*(f - 2)**2
Let x(j) = -13*j**3 + 3*j**2 + 8*j - 8. Let u(d) = 6*d**3 - 2*d**2 - 4*d + 4. Let i(v) = -5*u(v) - 2*x(v). Determine m so that i(m) = 0.
-1, 1
Let p(r) = -r + 4. Let c be p(7). Let j = 9 + c. Factor -3*n**4 - n**2 + j*n**3 + 0 + 1 + 7*n**2 - 4 - 3*n**5 - 3*n.
-3*(n - 1)**2*(n + 1)**3
Let f be (2/10 + -2 + 2)*1. Factor -f*q**2 + 2/5*q - 1/5.
-(q - 1)**2/5
Suppose -2*l + 109 = -c, -2*l - 47 = -3*l - c. Solve -40*h**3 + 4 + 128*h**5 - h + 2*h**2 + 160*h**4 - l*h**2 - 6 + 21*h = 0 for h.
-1, 1/4
Let j(l) be the third derivative of -4*l**2 - 1/120*l**6 + 0 + 0*l - 7/120*l**4 - 1/15*l**3 - 3/100*l**5 - 1/1050*l**7. What is o in j(o) = 0?
-2, -1
Let j(w) be the second derivative of -w**2 + 0 + 1/6*w**6 - 1/4*w**4 - 7/20*w**5 - 3*w + 7/6*w**3. Factor j(m).
(m - 1)**2*(m + 1)*(5*m - 2)
Find x such that -4/7*x**2 - 6/7*x - 2/7*x**5 + 8/7*x**3 + 0 + 4/7*x**4 = 0.
-1, 0, 1, 3
Suppose 12/7 - 3/7*t**2 + 12/7*t - 3/7*t**3 = 0. Calculate t.
-2, -1, 2
Let c(k) be the first derivative of -k**7/2520 - k**6/270 - k**5/72 - k**4/36 + k**3 + 1. Let f(o) be the third derivative of c(o). Factor f(w).
-(w + 1)**2*(w + 2)/3
Let h(o) = 6*o**4 + 2*o**3 + 4*o**2 - 12*o - 5. Let p(m) = -m**4 - m**2 + 2*m + 1. Let g(i) = 2*h(i) + 10*p(i). Determine t, given that g(t) = 0.
-2, -1, 0, 1
Let t(u) b