r be (135/6)/(6/(-8)). Let j be ((-38)/(-57))/((-4)/r). Factor -1/4*x**j + 0*x**2 + 0 + 0*x + 1/2*x**3 - 1/4*x**4.
-x**3*(x - 1)*(x + 2)/4
Let b(a) be the second derivative of 0*a**3 - 1/70*a**5 - 5*a + 0 + 0*a**2 + 0*a**4 + 1/35*a**6. Factor b(z).
2*z**3*(3*z - 1)/7
Let m = 33 + -20. Let a = -9 + m. Let 3*k**2 + k**4 + 2*k**3 - a*k**2 + 2*k**4 = 0. What is k?
-1, 0, 1/3
Let 4*y**3 - 11*y - 3*y**4 + 4*y - 19*y**3 - 21*y**2 - 2*y = 0. What is y?
-3, -1, 0
Let h(i) = -i**2 - 14*i + 34. Let b be h(-16). Solve 0*j**2 - 2/3*j**3 + b*j + 4/3 = 0 for j.
-1, 2
Suppose 2*i - 6*i + 192 = 0. Determine u so that -33*u - 3*u**2 - i + 8*u + u = 0.
-4
Suppose -4 = 3*x + 5*i, 5*x - i + 2 = 14. Let t = 36 - 250/7. Find o, given that -t*o**3 - 2/7*o**x + 2/7*o + 2/7 = 0.
-1, 1
Suppose -38*i + 25*i = 0. Factor 1/4*l + i + 0*l**2 - 1/4*l**3.
-l*(l - 1)*(l + 1)/4
Suppose 8 = -9*d + 11*d. Factor 0 + 1/2*q**3 + 0*q + 0*q**2 + q**d + 1/2*q**5.
q**3*(q + 1)**2/2
Let d(z) be the second derivative of 1/60*z**6 - 1/40*z**5 + 1/84*z**7 + 0*z**3 - 1/24*z**4 + z + 0*z**2 + 0. Let d(x) = 0. Calculate x.
-1, 0, 1
Let m = 11 - 8. Let y = 3 - m. Suppose 3*v**2 + 5*v + y*v**2 - 2*v + 0*v**2 = 0. What is v?
-1, 0
Let k(w) = 6*w**4 + 12*w**3 + 14*w**2 + 4*w. Let a(q) = -7*q**4 - 12*q**3 - 15*q**2 - 4*q. Let r(t) = 2*a(t) + 3*k(t). Suppose r(n) = 0. Calculate n.
-1, 0
Let x = 18 - 18. Let a(w) be the second derivative of 0*w**2 - w + 2/3*w**3 + x + 1/6*w**4. Factor a(b).
2*b*(b + 2)
Let k(x) = x**4 - x**3 - x**2 + 1. Let a(p) = 0 + 3*p**2 + 9*p**3 - 4 - 2 - 7*p**4 + 3*p - 2*p. Let r(s) = -a(s) - 6*k(s). Factor r(z).
z*(z - 1)**3
Let f(n) be the first derivative of 0*n**3 + 0*n + 1/5*n**5 - 1/4*n**4 - 2 + 0*n**2. Factor f(x).
x**3*(x - 1)
Let q be (-52)/39*(-54)/4. Let h = q - 14. Factor 0 - 1/4*c**3 + 1/4*c**h + 0*c + 0*c**2.
c**3*(c - 1)/4
Let d(o) be the first derivative of 16*o**6/3 - 16*o**5 + 33*o**4/2 - 20*o**3/3 + o**2 - 8. Find j, given that d(j) = 0.
0, 1/4, 1
Factor -16/3 - 54*d**3 - 152/3*d - 132*d**2.
-2*(d + 2)*(9*d + 2)**2/3
Let p(a) = a**2. Let g(s) = -2*s**3 + 10*s**2 - 2*s. Let z(y) = g(y) - 6*p(y). Let z(n) = 0. Calculate n.
0, 1
Let t = 66 - 17. Let q be ((-56)/t)/((-6)/7). Determine a, given that -2*a**4 - 2/3 + 8/3*a**2 - q*a + 4/3*a**3 = 0.
-1, -1/3, 1
Suppose -r + 6*r - 4*v = 5, 0 = 5*r - 3*v. Let n be r/7 + 87/105. Factor -2/5*f + 4/5*f**3 - 2/5 - n*f**5 - 2/5*f**4 + 4/5*f**2.
-2*(f - 1)**2*(f + 1)**3/5
Let z be (-2)/6*7*4/(-42). Find p such that -2/9*p - z*p**3 + 0 - 4/9*p**2 = 0.
-1, 0
Let w(o) be the second derivative of o**6/150 - o**5/50 - o**4/60 + o**3/15 - 66*o. Determine j, given that w(j) = 0.
-1, 0, 1, 2
Let x be 104/39*1037/12. Let k = -230 + x. Factor -2/9*v**2 + k*v - 2/9.
-2*(v - 1)**2/9
Factor -9*b - 24*b**3 + 28*b**3 - 7*b.
4*b*(b - 2)*(b + 2)
Let c(h) = -2*h**3 - 4*h**2 - 2*h - 13. Let a(n) = 1. Let f(m) = 6*a(m) + c(m). Let r(x) = -x**3 - 2*x**2 - x - 3. Let j(l) = 3*f(l) - 7*r(l). Factor j(w).
w*(w + 1)**2
Let i = -9 + 9. Let c(l) be the first derivative of 0*l - 4/15*l**3 + 1 - 1/10*l**4 + i*l**2 + 2/25*l**5. Let c(f) = 0. What is f?
-1, 0, 2
Factor -3/4*p**3 + 3*p - 6 + 3/2*p**2.
-3*(p - 2)**2*(p + 2)/4
Let t(w) = 2 + w**2 + 7*w - w**2 + 3*w**2 - 2*w**2. Let i be t(-7). Suppose 4/13 + 2/13*v**i + 6/13*v = 0. Calculate v.
-2, -1
Let s(i) be the first derivative of 0*i - 3/2*i**2 + 4 + i**3. Factor s(f).
3*f*(f - 1)
Let t(a) = 17*a**2 - 19*a - 4. Let g(h) = h**2 + h + 1. Let f(r) = -4*g(r) - 2*t(r). Factor f(k).
-2*(k - 1)*(19*k + 2)
Let u = 136/207 + 2/207. Let g(d) be the first derivative of d - u*d**3 + 1/2*d**2 + 3 - 1/2*d**4 + 1/6*d**6 + 1/5*d**5. Suppose g(q) = 0. Calculate q.
-1, 1
Let p(u) be the third derivative of -2*u**7/315 - u**6/45 + u**4/9 + 2*u**3/9 - 11*u**2. Suppose p(n) = 0. Calculate n.
-1, 1
Let r(h) be the first derivative of -h**6/120 - h**5/30 + 2*h**2 + 5. Let c(w) be the second derivative of r(w). Factor c(i).
-i**2*(i + 2)
Factor 4/13 - 10/13*p - 6/13*p**2.
-2*(p + 2)*(3*p - 1)/13
Let a = -36 - -69. Let d(h) = 9*h**2 + 33*h + 24. Let c(n) = n**2 + 4*n + 3. Let u(k) = a*c(k) - 4*d(k). Find q such that u(q) = 0.
-1, 1
Let t(h) be the second derivative of 3*h**7/280 + h**6/420 - h**5/70 - 7*h**4/12 + 5*h. Let n(c) be the third derivative of t(c). Solve n(r) = 0 for r.
-2/7, 2/9
Let z(i) be the third derivative of 1/1176*i**8 + 4*i**2 + 0 + 1/28*i**4 + 0*i**7 + 2/21*i**3 - 1/105*i**6 - 1/105*i**5 + 0*i. Let z(y) = 0. What is y?
-1, 1, 2
Let v be -2 - (-8)/(32/20). Let u(o) be the second derivative of 0 - 1/70*o**5 + o - 1/21*o**v + 0*o**2 - 1/21*o**4. Factor u(t).
-2*t*(t + 1)**2/7
Suppose -3*w + 23 = 2*s, s - 2*w + 18 = 3*s. Let c(u) be the second derivative of 0 - 1/9*u**3 + 0*u**2 - 2*u + 1/18*u**s. Let c(x) = 0. Calculate x.
0, 1
Let l(p) be the second derivative of p**7/945 + p**6/270 + p**5/270 - 2*p**2 + 4*p. Let m(u) be the first derivative of l(u). Factor m(f).
2*f**2*(f + 1)**2/9
Let c be (2*-1)/(4 + -5). Let v(o) = -o**2 - o. Let y be v(0). Suppose -1/2*z + 1/4*z**c + y = 0. Calculate z.
0, 2
Let l(a) be the third derivative of -7*a**5/60 - 65*a**4/24 - 3*a**3 + 2*a**2 - 8*a. Let l(t) = 0. Calculate t.
-9, -2/7
Let a(f) = -f + 21. Let c be a(15). What is z in -5*z**5 - 3*z**3 + 2*z**5 - 3*z**2 + 3*z**4 + c*z**5 = 0?
-1, 0, 1
Let l(g) be the second derivative of -9*g**5/40 - g**4/4 + 7*g**3/4 - 3*g**2/2 - 2*g - 2. Factor l(r).
-3*(r - 1)*(r + 2)*(3*r - 1)/2
Let w(l) = l - 1. Let y(t) = t**3 - 6*t**2 + 9*t - 9. Let i(u) = -2*w(u) + y(u). Let b be i(5). Factor 0 + x**4 + 5/3*x**b + 1/3*x**2 - 1/3*x.
x*(x + 1)**2*(3*x - 1)/3
Factor 98 + 384*l + 54 + 48*l**2 + 3*l**3 + 872 - l**3.
2*(l + 8)**3
Let d be (4/(-48))/(5/(-20)). Let z(l) be the third derivative of 4/15*l**3 + 0*l - 11/150*l**6 - d*l**4 + 0 - l**2 + 1/105*l**7 + 11/50*l**5. Solve z(y) = 0.
2/5, 1, 2
Suppose -g = -2*g + 2. Let y(a) be the first derivative of 4/5*a - 1 - 2/5*a**g + 1/15*a**3. Factor y(t).
(t - 2)**2/5
Let h = -405 + 1216/3. Suppose -1 + 5/3*z - 1/3*z**2 - h*z**3 = 0. What is z?
-3, 1
Let t(y) be the first derivative of 5*y**4/2 + 2*y**3 - 2*y**2 - 12. What is g in t(g) = 0?
-1, 0, 2/5
Let i(m) be the second derivative of m**5/40 + 7*m**4/48 + m**3/12 - 3*m**2/8 - 42*m. Suppose i(h) = 0. What is h?
-3, -1, 1/2
Factor 2*w**3 + 2/3*w**4 + 2/3*w + 0 + 2*w**2.
2*w*(w + 1)**3/3
What is f in -4*f + 12*f - 13*f**2 + 4*f**3 + f**2 = 0?
0, 1, 2
Let g(b) be the third derivative of -1/200*b**6 - 6*b**2 + 0 + 0*b**3 + 0*b**5 + 0*b + 1/40*b**4. Let g(v) = 0. What is v?
-1, 0, 1
Suppose -3*w + 30 = -0*g + 2*g, 4*g = -12. Suppose 6*o**2 + 6*o + 6*o**2 - 3*o - 3*o**3 - w*o**4 = 0. What is o?
-1, -1/4, 0, 1
Factor 2/13*g - 2/13*g**4 + 0 + 2/13*g**2 - 2/13*g**3.
-2*g*(g - 1)*(g + 1)**2/13
Let r(g) be the first derivative of g**4/5 + 3*g**3/5 + 3*g**2/5 + g/5 - 7. Factor r(n).
(n + 1)**2*(4*n + 1)/5
Factor 0*g**3 - 2/7*g**2 + 2/7*g**4 + 0*g + 0.
2*g**2*(g - 1)*(g + 1)/7
Factor -3*d**2 - 2*d**2 + d**2 - 18 + 7*d**2 - 3*d.
3*(d - 3)*(d + 2)
Let c be 1/2 + 35/14. Suppose 6*t = 2*t + 12. Factor i**t + 2*i**3 + i**2 - i**c + i**4.
i**2*(i + 1)**2
Let w = 5/52 - -2/13. Factor 3/4 - n + w*n**2.
(n - 3)*(n - 1)/4
Let g = 2 + 2. Determine c so that c + c**2 - c**3 + c**5 + 4*c**g - 5*c**4 - c = 0.
-1, 0, 1
Let w(z) be the first derivative of -z**4/30 + z**3/15 - 5*z - 4. Let p(x) be the first derivative of w(x). Factor p(d).
-2*d*(d - 1)/5
Let q be (-24)/(-48) + (-3)/(-5) + -1. Let o(l) be the first derivative of 0*l + q*l**4 + 2/15*l**3 - 4/25*l**5 + 0*l**2 - 1. Suppose o(f) = 0. Calculate f.
-1/2, 0, 1
Let n(o) = o - 3. Let b be n(3). Let g be 3 + b - (-2)/(-2). Factor -3*r + 2*r**2 - 4*r**2 + 2 + 4*r**g - r.
2*(r - 1)**2
Let n(i) be the third derivative of 0 + 1/4*i**4 - 1/3*i**3 - 1/15*i**5 + 4*i**2 + 0*i. Suppose n(u) = 0. What is u?
1/2, 1
Let o(t) be the third derivative of -1/6*t**5 + 0*t + 6*t**2 + 0*t**3 + 0 - 1/6*t**4. Find m such that o(m) = 0.
-2/5, 0
Let g(j) = j**2 - 6*j - 25. Let u be g(-3). Factor -4/7*h - 2/7*h**u - 2/7.
-2*(h + 1)**2/7
Let o = 2 - 1. Let t(v) = 3*v. Let m be t(o). Factor 0*r**4 - 6*r**4 + 5*r**3 - 3*r**m.
-2*r**3*(3*r - 1)
Suppose -2*a - a + a**3 + 2*a = 0. What is a?
-1, 0, 1
Let g(d) be the second derivative of -d**7/210 