**2 + k - 6/7*u + 4/7*u**3.
2*(u - 1)**4*(u + 1)/7
Let y(i) be the second derivative of -i**5/4 + i**3/3 + 3*i**2/2 - 3*i. Let q(h) = -26*h**3 + 10*h + 16. Let g(x) = 3*q(x) - 16*y(x). What is s in g(s) = 0?
-1, 0, 1
Let c = -2/967 + -1816/57053. Let v = 53/177 - c. Factor v*k**3 + 1/3*k**2 - 2/3*k + 0.
k*(k - 1)*(k + 2)/3
Factor -3/7*i**2 + 1/7*i**4 + 1/7*i**3 - 5/7*i - 2/7.
(i - 2)*(i + 1)**3/7
Let s = -185 + 187. Let z(v) be the third derivative of -s*v**2 - 1/100*v**5 - 1/10*v**3 - 1/20*v**4 + 0*v + 0. Factor z(r).
-3*(r + 1)**2/5
Let b be 0 + (-3)/(2 + -3). Suppose -7*j = -b*j. Factor j*s**4 + 0 + 0*s**2 + 2/5*s**5 + 2/5*s - 4/5*s**3.
2*s*(s - 1)**2*(s + 1)**2/5
Suppose -3*y - 180 = n - 5*n, -2*n + 5*y + 90 = 0. Factor n*d**3 - 32*d**2 + 0*d**3 - 4*d - 10*d**2 + 8.
(3*d - 2)**2*(5*d + 2)
Let h(k) be the second derivative of -k**4/4 + 5*k**3/2 - 2*k - 32. Solve h(x) = 0 for x.
0, 5
Let n be (-5)/(-10)*2*1. Suppose 0 = -3*b + 7 - n. Factor -2*p + 2*p + p**b + p.
p*(p + 1)
Let i(h) be the first derivative of h**8/2520 - h**7/1260 + 2*h**3/3 + 3. Let g(s) be the third derivative of i(s). Suppose g(l) = 0. What is l?
0, 1
Suppose p - 4 = 5*p. Let l = p + 3. Determine u so that 3*u**5 - 2*u**2 + 0*u**3 + 3*u**2 - u + 4*u**4 - l*u**3 - 5*u**2 = 0.
-1, -1/3, 0, 1
Factor 44*k**2 - k + 22*k + 16 + 35*k - 7*k**3 + 17*k**3.
2*(k + 2)**2*(5*k + 2)
Let c(q) be the third derivative of -q**8/2100 + q**7/350 - q**6/200 + q**5/300 + q**3/2 + 2*q**2. Let u(i) be the first derivative of c(i). Factor u(s).
-s*(s - 2)*(2*s - 1)**2/5
Suppose 0*f + f = 0. Suppose f + 0*s + 1/2*s**3 - 1/4*s**2 - 1/4*s**4 = 0. Calculate s.
0, 1
Suppose 5*s + 5*k = s - 20, 2*k + 8 = -5*s. Find x such that -4/3*x**3 + s*x**2 + 0 + 0*x + 6*x**5 + 14/3*x**4 = 0.
-1, 0, 2/9
Let q be -6*(1 + 3 + -5). Factor 6*n + q*n**2 + 0*n**2 - n**2 - 2*n**2.
3*n*(n + 2)
Let t(a) be the third derivative of -3*a**8/112 + 2*a**7/35 + a**6/20 - a**5/5 + a**4/8 + 7*a**2. What is c in t(c) = 0?
-1, 0, 1/3, 1
Factor 6*j + 17*j**2 + 3*j - 20*j**2 - 3*j.
-3*j*(j - 2)
Factor 18*i**2 - 25 + 47*i**4 + 54*i - 49 - 14*i**3 - 34 - 45*i**4.
2*(i - 3)**3*(i + 2)
Suppose z - 17 = -5*y, y = -4*y - 3*z + 21. Suppose 5*h - y*h - 4 = 0. Factor -a**4 + a**2 - 2*a**5 + 0*a**h - 7*a**3 + 8*a**3 + a**5.
-a**2*(a - 1)*(a + 1)**2
Let z(b) = 4*b**4 - 6*b**3 - 3*b**2 + 7*b + 3. Let r(u) = u**4 - u**3 - u**2 + u + 1. Let p(x) = 6*r(x) - 2*z(x). Find j, given that p(j) = 0.
-1, 0, 2
Let w(o) = -13*o**2 - 6*o. Let k be -5 - (5 - (3 + 0)). Let q(f) = -7*f**2 - 3*f. Let s(p) = k*q(p) + 4*w(p). Find z such that s(z) = 0.
-1, 0
Let l(k) = k**3 - 6*k**2 + 7*k - 7. Let v be l(5). Suppose 3*a = -o - 2, -v*o = -3*a + a + 6. Factor 1/4*u**3 + a*u + 0*u**2 + 0 + 1/4*u**4.
u**3*(u + 1)/4
Let l = -380 - -3422/9. What is u in 4/9*u + 2/9*u**2 + l = 0?
-1
Let u = -158 + 319/2. Factor -1/2*j**3 + 0 + u*j**2 - j.
-j*(j - 2)*(j - 1)/2
Let w = -132 + 1321/10. Let m(g) be the first derivative of -2 - 1/24*g**6 - 1/2*g + 1/8*g**4 + 7/8*g**2 + w*g**5 - 2/3*g**3. Factor m(j).
-(j - 1)**4*(j + 2)/4
Let z(d) be the third derivative of d**8/2240 - d**7/420 + d**6/240 + d**4/6 + 3*d**2. Let b(y) be the second derivative of z(y). Factor b(o).
3*o*(o - 1)**2
Let g(t) be the third derivative of -t**8/84 + 4*t**7/105 + 4*t**6/15 + 2*t**5/15 - 7*t**4/6 - 8*t**3/3 - 7*t**2. Factor g(y).
-4*(y - 4)*(y - 1)*(y + 1)**3
Let g(b) = b - 2. Let t be g(5). Suppose -t*s - s + 8 = 0. What is z in -3*z + z + s*z**2 - 2*z + 2 = 0?
1
Suppose -3*f + f - 1 = -3*h, 4*f - 1 = 5*h. Suppose 0 - 12 = -f*z. Solve 1/2*v**2 - 1/2*v**4 + 1/2*v + 0 - 1/2*v**z = 0 for v.
-1, 0, 1
Let t = 3400/6193 + -2/563. Determine d so that -4/11*d**2 + 4/11*d**3 - 6/11*d + t*d**4 + 2/11*d**5 - 2/11 = 0.
-1, 1
Let j = 68 - 338/5. Factor -4/5*y**3 - j + y**2 + 7/5*y.
-(y - 2)*(y + 1)*(4*y - 1)/5
Let o(a) = -a**2 + 5*a. Let l(n) = n**2 - 6*n - 1. Let p(r) = 2*l(r) + 3*o(r). Find f, given that p(f) = 0.
1, 2
Let q = -2/807 + 1628/5649. Factor 4/7*h - q*h**2 - 2/7.
-2*(h - 1)**2/7
Suppose 0 = 6*n + 6*n. Let o(q) be the second derivative of -1/6*q**4 - 1/7*q**7 + 3*q + 0*q**2 + 0*q**3 + 1/3*q**6 - 1/10*q**5 + n. Let o(f) = 0. Calculate f.
-1/3, 0, 1
Factor -6/11*q**3 - 2/11*q**4 + 0 + 0*q**2 + 8/11*q.
-2*q*(q - 1)*(q + 2)**2/11
Let f = 1/22 - -17/110. Solve 3/5*a**2 + f*a + 3/5*a**3 + 0 + 1/5*a**4 = 0 for a.
-1, 0
Let d(n) be the second derivative of n**7/147 + n**6/35 + 3*n**5/70 + n**4/42 - 10*n. Suppose d(c) = 0. What is c?
-1, 0
Let b be (-3)/(-4)*4/6. Let z(u) be the first derivative of -2 + 1/8*u**4 + b*u - 1/6*u**3 - 1/4*u**2. Factor z(k).
(k - 1)**2*(k + 1)/2
Let c be 208/(-6)*9/4. Let t be 1 + c/21 + 3. Factor -t*k**3 + 2/7*k**4 + 0*k**2 + 0 + 0*k.
2*k**3*(k - 1)/7
Let 1/8*v**2 + 1/8 - 1/4*v = 0. What is v?
1
Factor 4/5*y + 0 + 2/5*y**2.
2*y*(y + 2)/5
Let q(b) be the second derivative of b**8/168 - b**6/30 + b**4/12 + b**2 - 2*b. Let s(l) be the first derivative of q(l). Factor s(u).
2*u*(u - 1)**2*(u + 1)**2
Factor 0*r**3 + 0*r**2 + 0 + 0*r - 2/5*r**4.
-2*r**4/5
Let c(n) = 14*n**2 - 28*n + 46. Let j(g) = -5*g**2 + 9*g - 15. Let a(w) = 2*w + 10. Let m be a(-9). Let i(p) = m*j(p) - 3*c(p). Factor i(r).
-2*(r - 3)**2
Let n(o) be the second derivative of o**6/6 + o**5/2 + 5*o**4/12 + 9*o. Factor n(b).
5*b**2*(b + 1)**2
Factor 15/4*k**2 - 3*k**3 + 0 - 3/2*k + 3/4*k**4.
3*k*(k - 2)*(k - 1)**2/4
Let f(z) be the third derivative of -z**6/60 - z**5/30 + z**4/12 + z**3/3 - 8*z**2. Suppose f(o) = 0. Calculate o.
-1, 1
Let j = -419 - -12571/30. Let c(n) be the second derivative of n + 1/5*n**2 + j*n**4 + 0 - 2/15*n**3. Factor c(k).
2*(k - 1)**2/5
Let g(r) be the third derivative of -r**10/15120 + r**9/3780 - r**8/3360 + r**4/3 - r**2. Let d(q) be the second derivative of g(q). Factor d(z).
-2*z**3*(z - 1)**2
Let t = -1282/3 + 432. Let k(d) be the first derivative of -2*d - 5*d**2 - 3/2*d**4 + 2 - t*d**3. Factor k(z).
-2*(z + 1)**2*(3*z + 1)
Find u such that -16/7*u + 4/7*u**4 + 6/7*u**2 + 2*u**3 - 8/7 = 0.
-2, -1/2, 1
Let f(s) be the first derivative of -12/5*s**5 + 0*s - 2 - 1/3*s**3 + 4/3*s**6 + 3/2*s**4 + 0*s**2. Factor f(r).
r**2*(2*r - 1)**3
Suppose -5*w + 1 = 11. Let v = w + 5. Factor 2*b**v + 3*b**4 - 5*b**4 + 3*b**4 + b**2 + 0*b**2.
b**2*(b + 1)**2
Factor 38*v + 46*v - 84*v - 33*v**3 - 6*v**2.
-3*v**2*(11*v + 2)
Let c(z) = 4*z**4 + 53*z**3 + 139*z**2. Let t(m) = -6*m**4 - 80*m**3 - 208*m**2. Let o(l) = -8*c(l) - 5*t(l). Factor o(b).
-2*b**2*(b + 6)**2
Suppose -5*s - 20 = 0, s - 4 = -5*q + 2*s. Factor 2/13*f**2 - 2/13 + q*f.
2*(f - 1)*(f + 1)/13
Suppose -j**2 + 2/3 - 1/3*j = 0. Calculate j.
-1, 2/3
What is i in -5 + 29*i**3 - 5*i**4 - 34*i**3 + 5 = 0?
-1, 0
Suppose -2*y - 6 = -3*y. Suppose 37 = 3*w - 5. Find q, given that y*q - 1 - 2 - 1 + 6*q**2 - w*q**3 + 6*q**4 = 0.
-2/3, 1
Let n(h) = h**5 - 8*h**4 + 8*h**3 + 5*h**2 - 11*h + 4. Let k(l) = -l**5 + l**2 - l. Let u be 2*(0 - 1/(-2)). Let q(v) = u*n(v) - k(v). Let q(d) = 0. What is d?
-1, 1, 2
Factor 0 - 1/10*n**3 + 1/5*n**2 + 0*n.
-n**2*(n - 2)/10
Let w = 6/143 + 530/1001. Let a = -5 + 8. Factor 0 + 2/7*u + w*u**2 + 2/7*u**a.
2*u*(u + 1)**2/7
Solve -2*i**2 + 2/3*i**3 + 2*i - 2/3 = 0 for i.
1
Factor 2/9*c**2 - 2/3*c + 4/9.
2*(c - 2)*(c - 1)/9
Let n(g) = 2*g - 1. Let l be n(3). Let d(p) be the third derivative of -1/3*p**4 - p**2 + 0*p + 16/15*p**l - 3/4*p**6 + 0 + 0*p**3 - 27/35*p**7. Factor d(s).
-2*s*(s + 1)*(9*s - 2)**2
Suppose 4*j = j - 459. Let p = 1073/7 + j. Factor -2/7*v**5 + 0 + 0*v**3 + 0*v**2 - p*v**4 + 0*v.
-2*v**4*(v + 1)/7
Let u be ((-2)/4)/((-10)/4). Let x be 300/250*(-2)/(-3). What is o in -o - u - x*o**2 = 0?
-1, -1/4
Let f be 4/(-6)*4/8 - -1. Determine r so that -2/3*r + 0 - f*r**3 - 4/3*r**2 = 0.
-1, 0
Let p(m) be the first derivative of -7*m**6/6 - 23*m**5/5 - 27*m**4/4 - 13*m**3/3 - m**2 - 8. What is f in p(f) = 0?
-1, -2/7, 0
Let h be (-12)/(5 - 1) + 7. Let g(r) be the first derivative of -1 - 2/3*r**3 - 4/7*r**h - 2/7*r**2 - 6/35*r**5 + 0*r. Let g(x) = 0. Calculate x.
-1, -2/3, 0
Let h be 12*5/(-9 - -39). Determine w, given that -h*w**2 + 2*w**3 + 4/5*w**5 - 14/5*w - 4/5 + 14/5*w**4 = 0.
-2, -1, -1/2, 1
Let j(m) = m**2 + 2*m + 2. Let g(l) = 2*l**2 + 3*l + 3. Let c(s) = -2*g(s) + 5*j(s). Factor c(k).
(k + 2)**2
Let f(r) be the