 + 0 - a*i**2 - 3/2*i**4. Solve g(n) = 0.
-1
Let w = -16 + 34. Factor -32*c**2 + 1 - 9 + 40*c - w*c**2.
-2*(5*c - 2)**2
Solve 0*d + 0 + 1/4*d**4 + 1/4*d**3 + 0*d**2 = 0 for d.
-1, 0
Let i be -2*(1 - (-336)/(-339)). Let b = 557/452 - i. What is j in 3/4*j**2 + 1/2 - b*j = 0?
2/3, 1
Let p be (-1)/5 + 0 + 3/15. Find r, given that -4/5*r**2 + p*r**3 - 2/5*r**5 + 0 + 4/5*r**4 + 2/5*r = 0.
-1, 0, 1
Let q(g) = 5*g**3 - 7*g**2 - 2. Let o(k) = k**3 - k**2 - k - 1. Let m(p) = 6*o(p) - 3*q(p). Factor m(d).
-3*d*(d - 1)*(3*d - 2)
Let k(t) be the third derivative of -2/3*t**3 - 1/60*t**5 + 0*t + 0 - 1/6*t**4 + 2*t**2. Factor k(o).
-(o + 2)**2
Let f be 0 - (-1 - -4)/3. Let p(k) = 4*k**2 + 2*k + 1. Let h be p(f). Factor -4*y**2 + h*y**2 + 5 - 4.
-(y - 1)*(y + 1)
Suppose -18 = 2*g + 5*k - 44, 12 = 3*k. Let q be (3 - 3)/g*-1. Factor 0 + q*d**2 + 0*d + 1/2*d**3 + 1/2*d**4.
d**3*(d + 1)/2
Let c be (-6)/63 - (-214)/42. Solve -2/9*m + 2/3*m**3 + 0 + 8/9*m**4 - 8/9*m**c - 4/9*m**2 = 0.
-1/2, 0, 1
Suppose 0 + 4/5*b - 22/5*b**4 + 33/5*b**3 - 4*b**2 + b**5 = 0. Calculate b.
0, 2/5, 1, 2
Suppose -2/5*b**2 + 0*b + 1/5*b**4 + 1/5*b**3 + 0 = 0. What is b?
-2, 0, 1
Let a = -11 + 8. Let o be 0 + 0 - a/1. Factor -8*j**3 - 3*j**2 + 7*j**2 + 2*j**o + 2*j**5.
2*j**2*(j - 1)**2*(j + 2)
Let v be (-14)/77 + 32/55. Suppose 0 + 4/5*o + v*o**2 - 2/5*o**3 = 0. Calculate o.
-1, 0, 2
Suppose 4*z - 4*t - 16 = 0, -3*z + 4*z + 2*t - 7 = 0. Solve 0*w + w**3 + 0 + w**4 + 1/3*w**z + 1/3*w**2 = 0.
-1, 0
Suppose -3*z = 3*f - 2*f - 7, -2*f + 3 = -5*z. Let b(h) be the second derivative of 3*h + 0*h**2 + 0 - 1/6*h**3 + 1/2*h**f - 9/16*h**5 + 5/24*h**6. Factor b(n).
n*(n - 1)*(5*n - 2)**2/4
Solve -2*f**2 - f**2 - 8 - 12*f + 5*f**2 - 6*f**2 = 0 for f.
-2, -1
Determine q so that -25*q - 23*q - 12*q**3 + 63*q**4 - 27*q**5 + 36 + 53*q**3 - 87*q**2 + 46*q**3 = 0.
-1, 2/3, 3
Let k(t) = t**2 - 5*t - 4. Let x be k(6). Factor 2*v**2 - 5*v**2 + 5*v + x*v - v.
-3*v*(v - 2)
Let v = -4 - -6. Factor 2*p + 0*p**4 - v*p**5 - 4*p**4 + 0*p**4 + 4*p**2.
-2*p*(p - 1)*(p + 1)**3
Let s(m) = -2*m**4 - 3*m**3 + 3*m**2 + 7*m + 4. Let t(v) = -v**4 - v**3 - v. Let f(z) = -2*s(z) + 2*t(z). Factor f(l).
2*(l - 2)*(l + 1)**2*(l + 2)
Factor -2*p**4 - 2*p**3 + 0*p**2 - p**2 + 5*p**2 + 0*p**2.
-2*p**2*(p - 1)*(p + 2)
Let m = -19 + 23. Let o(j) be the first derivative of m*j - 1 + 2*j**2 + 1/3*j**3. Factor o(x).
(x + 2)**2
Suppose 24/5*u - 48/5 - 3/5*u**2 = 0. Calculate u.
4
Let h(t) = 3*t**4 + 3*t**3 - 5*t - 5. Let p(k) = -k**4 - k**3 + 2*k + 2. Let a(w) = -2*h(w) - 5*p(w). Factor a(y).
-y**3*(y + 1)
Factor -1/3*h**5 - 5/3*h**2 + 0 + 1/3*h**4 + 2/3*h + h**3.
-h*(h - 1)**3*(h + 2)/3
Let l be (-2)/3 - 85/(-15). Let g(s) be the third derivative of -1/360*s**6 + 0 + 0*s**4 + 1/630*s**7 + 0*s**l + 2*s**2 + 0*s + 0*s**3. Factor g(y).
y**3*(y - 1)/3
Suppose 3*h = 2*h + f + 1, -4*h = -2*f - 4. Suppose 4*v + 3*q = 25, -2*v = -3*v + q + h. Solve -2*j**2 + 3*j**2 - 4 - v*j - 5*j**2 + 3*j**2 = 0 for j.
-2
Let m(y) be the second derivative of 121*y**6/195 - 33*y**5/65 - 56*y**4/39 + 22*y**3/13 - 9*y**2/13 - 7*y. Find i such that m(i) = 0.
-1, 3/11, 1
Let z = -56 + 56. Let p(f) be the third derivative of 0*f**3 + 1/330*f**5 - 1/132*f**4 + 0*f + z - 2*f**2. Factor p(s).
2*s*(s - 1)/11
Factor 2/13*h**3 - 4/13*h**2 + 0*h + 0.
2*h**2*(h - 2)/13
Let q(c) be the first derivative of c**4/6 + 2*c**3/3 + c**2 - 3*c + 2. Let g(j) be the first derivative of q(j). Suppose g(n) = 0. What is n?
-1
Let t = 394/7 + -56. Let -t*s + s**2 + 0 = 0. Calculate s.
0, 2/7
Let x = 2/7 - -1/21. Suppose -2/3*s + x*s**2 + 1/3 = 0. What is s?
1
What is r in -14/11*r**5 - 14/11*r - 4/11 + 8/11*r**2 - 4/11*r**4 + 28/11*r**3 = 0?
-1, -2/7, 1
Let c(r) = 13*r**5 - 2*r**4 - 2*r**3 - 9*r**2 + 9. Let i(a) = -a**5 + a**4 + a**2 - 1. Let k(p) = -2*c(p) - 18*i(p). Let k(w) = 0. What is w?
-2, 0, 1/4
Factor 0 - 2/5*v**2 + 0*v.
-2*v**2/5
Factor -5*q**5 + 6*q - 14 + 16 - 6*q**4 - 4*q**3 + 4*q**2 + 3*q**5.
-2*(q - 1)*(q + 1)**4
Let h = -28 + 50. Let s(z) = -10*z**2 + 7*z + 4. Let u(j) = j**2 - j. Let p(i) = h*u(i) + 2*s(i). Find w, given that p(w) = 0.
2
Let t = -427 - -427. Factor 0 + 0*y**2 - 2/7*y**4 + t*y**3 - 2/7*y**5 + 0*y.
-2*y**4*(y + 1)/7
Let q(a) be the first derivative of -a**4/2 + 2*a**3/3 + a**2 - 2*a - 4. Suppose q(c) = 0. Calculate c.
-1, 1
Factor -1/2*x**3 + x**2 + 0*x + 0.
-x**2*(x - 2)/2
Let d(p) be the third derivative of -1/300*p**6 - 2/15*p**3 + 1/20*p**4 - p**2 + 0 + 0*p**5 + 0*p. Solve d(f) = 0.
-2, 1
Let m(v) be the third derivative of v**10/2016 - v**9/15120 - v**8/560 + v**7/630 - v**4/24 + 5*v**2. Let s(p) be the second derivative of m(p). Solve s(g) = 0.
-1, 0, 2/5, 2/3
Let a(l) be the first derivative of 2/7*l - 5 + 1/7*l**4 - 6/35*l**5 - 3/7*l**2 + 1/21*l**6 + 4/21*l**3. Factor a(i).
2*(i - 1)**4*(i + 1)/7
Let o(n) = 10*n**2 - 1. Let f be o(1). Let y = f + -9. Factor 10/3*x**5 + 16/3*x**4 + y*x - 4/3*x**2 + 0 + 2/3*x**3.
2*x**2*(x + 1)**2*(5*x - 2)/3
Let t = 27 + -27. What is b in 2/5*b**3 - 1/5*b**4 - 2/5*b**5 + t*b + 0 + 1/5*b**2 = 0?
-1, -1/2, 0, 1
Let b(p) be the second derivative of 2*p**7/189 - 16*p**6/135 + 16*p**5/45 - 2*p**4/27 - 34*p**3/27 + 20*p**2/9 + 15*p. Determine g, given that b(g) = 0.
-1, 1, 2, 5
Let a(s) = -s**2 - 4*s - 1. Let k be (3/(-2))/((-12)/(-16)). Let d be a(k). Factor 3 - 3 - 3*r**d + 0 - 3*r**2.
-3*r**2*(r + 1)
Let c(w) be the second derivative of -w**5/40 - w**4/16 + w**3/2 + w**2/2 - w. Let o(n) be the first derivative of c(n). Factor o(k).
-3*(k - 1)*(k + 2)/2
Let u(q) be the third derivative of -q**7/315 + q**6/180 + q**5/30 - q**4/36 - 2*q**3/9 - 3*q**2. Find n such that u(n) = 0.
-1, 1, 2
Suppose -y + 6*y - 10 = 0. Suppose -3*w**3 + 10*w**y - 7*w**2 + 1 + 0*w + 3*w - 4 = 0. Calculate w.
-1, 1
Suppose -3*c + 10 = 5*a - 15, -2*a = -2*c + 6. Let r(k) be the first derivative of 1/14*k**4 + 4/7*k - 4/21*k**3 - 1/7*k**a + 3. Find s, given that r(s) = 0.
-1, 1, 2
Let u(b) be the first derivative of -b**6/120 - b**5/60 + b**4/12 - b**2 + 3. Let k(y) be the second derivative of u(y). Suppose k(m) = 0. Calculate m.
-2, 0, 1
Let m(a) be the third derivative of -1/120*a**6 + 1/210*a**7 - 1/20*a**5 + 0 + 5/24*a**4 - 1/3*a**3 + 0*a + a**2. Suppose m(j) = 0. Calculate j.
-2, 1
Let b(r) be the first derivative of -r - 2 + 1/4*r**2 + 1/6*r**3. Factor b(s).
(s - 1)*(s + 2)/2
Factor -1/7*g + 1/7 + 1/7*g**4 - 2/7*g**2 + 2/7*g**3 - 1/7*g**5.
-(g - 1)**3*(g + 1)**2/7
Let k(y) = -y - 11. Let b be k(4). Let s = b - -23. Suppose s*n**3 - 8*n - 14/3*n**4 - 8/3 + 22/3*n**2 = 0. What is n?
-1, -2/7, 1, 2
Let a(s) be the third derivative of -1/10*s**5 + 0*s + 0 + 0*s**6 + 6*s**2 + 0*s**3 - 1/8*s**4 + 1/112*s**8 + 1/35*s**7. Factor a(h).
3*h*(h - 1)*(h + 1)**3
Let c(s) be the first derivative of -2*s**6/105 + s**4/7 - 4*s**3/21 - 10*s + 1. Let b(t) be the first derivative of c(t). Factor b(r).
-4*r*(r - 1)**2*(r + 2)/7
Let v be (-1)/5 + (-3)/(-15). Suppose -f + 1 = 4*q - 10, v = 4*q + 2*f - 14. Let -2/5*t**3 + 4/5*t**4 - 2/5*t**q + 0 + 0*t = 0. What is t?
-1/2, 0, 1
Let g(n) be the first derivative of n**6/15 + 3*n**5/10 + n**4/2 + n**3/3 + 5*n + 5. Let o(y) be the first derivative of g(y). Find f, given that o(f) = 0.
-1, 0
Factor -w + 2 + w**2 + 4*w - 3*w - 3*w.
(w - 2)*(w - 1)
Factor -1 + 5/2*i**4 - 7/2*i - 3/2*i**2 + 7/2*i**3.
(i - 1)*(i + 1)**2*(5*i + 2)/2
Let c(x) be the third derivative of x**6/60 - x**4/12 - 20*x**2. What is i in c(i) = 0?
-1, 0, 1
Suppose -l + 5*l - 64 = 0. Suppose 4*m = l, -3*p = 5*m - 20 - 6. Factor s + 2*s**p - 3*s**2 - 2*s.
-s*(s + 1)
Suppose -2*a + 0*a + 4 = 0. Factor -6 - 3*d**2 + 3*d**a + d**2 + 5.
(d - 1)*(d + 1)
Suppose -128/7 - 168*x**2 + 98*x**3 + 96*x = 0. Calculate x.
4/7
Suppose 0 = 5*t - 2*t - 18. What is g in t*g**2 - 6 - g + 7*g - 3*g**2 - 3 = 0?
-3, 1
Let l(o) be the third derivative of o**5/60 + 5*o**4/24 + 2*o**3/3 + o**2. Let s(m) = m**2 + 4*m + 3. Let c(f) = 2*l(f) - 3*s(f). Factor c(q).
-(q + 1)**2
Find v, given that -12*v + 28*v**2 - 20*v**3 + 7 - 7 + 4*v**4 = 0.
0, 1, 3
Let m(o) be the second derivative of 1/70*o**5 + 1/21*o**3 + 3*o - 1/21*o**4 + 0 + 0*o**2. Suppose m(j) = 0. Calculate j.
0, 1
Let q(a) = 5*a**4 + 10*a**3 + 4*a + 5. Let o(i) = 11*i**4 + 21*i**3 + i**2 + 8*i + 11. Let u(t) = 6*o(t) 