 + 0*q - 1/6*q**3 + 1/120*q**6 + 1/60*q**5. Let v(u) = 0. What is u?
-1, 1
Let s(j) be the first derivative of 2/5*j - 3 - 2/15*j**3 - 1/5*j**2 + 1/10*j**4. Suppose s(x) = 0. What is x?
-1, 1
Let a(j) be the third derivative of -j**5/20 + 7*j**4/24 - j**3/3 + 2*j**2. Let r(n) = -n**2 + n - 1. Let d(w) = -a(w) + 4*r(w). Factor d(z).
-(z + 1)*(z + 2)
Suppose -m + 3 = 5. Let r be ((-3)/m)/((-3)/(-4)). Suppose 3*v**4 + 3*v + 0*v**4 - 9*v**r - 6*v**4 + 9*v**3 + 0*v**4 = 0. What is v?
0, 1
Let x(i) be the second derivative of -i**4/120 + i**3/20 + i**2/5 + 2*i. Factor x(j).
-(j - 4)*(j + 1)/10
Suppose 0 = -4*i + f + f + 8, -i - f + 8 = 0. What is j in -6/5*j**3 + 0*j**2 - 3/5*j**i + 3/5 + 6/5*j = 0?
-1, 1
Let r = -5 + 1. Let u = 6 + r. Factor -3*o**4 + 2*o - o**3 + 5*o**4 - 2*o**u - o**3.
2*o*(o - 1)**2*(o + 1)
Let i(o) = 9*o**2 + 17*o. Let w(g) = -19*g**2 - 22*g. Let j(f) = -9*f**2 - 11*f. Let s(a) = -7*j(a) + 3*w(a). Let c(y) = -5*i(y) + 8*s(y). Factor c(d).
3*d*(d + 1)
What is r in 3 + 861*r**3 - 2*r + r**4 - 2 - 2*r + 6*r**2 - 865*r**3 = 0?
1
Let s(n) be the second derivative of -n**7/147 - n**6/105 + n**5/35 + n**4/21 - n**3/21 - n**2/7 - 29*n. Factor s(h).
-2*(h - 1)**2*(h + 1)**3/7
Let j(m) be the first derivative of m**4/4 + 2*m**3/3 - 3*m**2/2 - 1. Determine b, given that j(b) = 0.
-3, 0, 1
Let i(y) be the second derivative of y**10/120960 + y**9/60480 - y**8/13440 + y**4/4 + 3*y. Let d(h) be the third derivative of i(h). Solve d(z) = 0 for z.
-2, 0, 1
Let s(d) be the first derivative of -4*d**5/35 + 4*d**3/21 - 4. Factor s(j).
-4*j**2*(j - 1)*(j + 1)/7
What is n in -3*n + 3*n - 6*n + 10*n - n**2 = 0?
0, 4
Let o(a) = -a**3 + 2*a**2 - a + 2. Let x be o(2). Let l = 158/39 + -44/13. Suppose 2/9*k**5 + l*k**4 + 0*k + 2/3*k**3 + x + 2/9*k**2 = 0. Calculate k.
-1, 0
What is j in -2*j**3 + 22/5*j**2 - 6/5*j**4 + 0 - 6/5*j = 0?
-3, 0, 1/3, 1
Factor 1 + 2*k**3 - 7 - 2*k + 22*k**2 - 16*k**2.
2*(k - 1)*(k + 1)*(k + 3)
Let 12/5*o**2 - 6/5*o + 26/5*o**3 - 4/5 + 12/5*o**4 = 0. Calculate o.
-1, -2/3, 1/2
Suppose -4*x = -4 - 16. Factor -4*k**4 + 8*k**2 + 0*k**4 + 20*k**4 + 20*k**3 + 4*k**x.
4*k**2*(k + 1)**2*(k + 2)
Let m(t) be the first derivative of t**6/21 - 4*t**5/35 + t**4/14 + 17. Factor m(s).
2*s**3*(s - 1)**2/7
Let m(s) be the first derivative of s**6/48 + s**5/5 + 11*s**4/16 + 7*s**3/6 + 17*s**2/16 + s/2 - 30. Factor m(r).
(r + 1)**4*(r + 4)/8
Let t(o) be the first derivative of o**7/35 + o**6/12 + o**5/15 + o**2 + 3. Let d(a) be the second derivative of t(a). Let d(r) = 0. Calculate r.
-1, -2/3, 0
Let a(q) be the second derivative of q**7/1260 + q**6/135 + q**5/45 + q**3/2 - 3*q. Let f(s) be the second derivative of a(s). Factor f(y).
2*y*(y + 2)**2/3
Let s(o) = 25*o**2 + o. Let q(b) = 3*b**2. Let m(z) = -51*q(z) + 6*s(z). Factor m(y).
-3*y*(y - 2)
Let n(x) be the second derivative of -x**5/4 + 5*x**4/4 - 5*x**3/3 - 3*x. Determine s, given that n(s) = 0.
0, 1, 2
Let r(b) be the first derivative of 1/3*b**3 + b**2 + 2 + b. Determine y so that r(y) = 0.
-1
Let v = -56 + 169/3. Let k(q) be the second derivative of 1/12*q**4 + 0 - v*q**3 + 3/20*q**5 - 3*q + 0*q**2. Factor k(a).
a*(a + 1)*(3*a - 2)
Let a(b) be the first derivative of b - 2 + 1/12*b**3 + 1/2*b**2. Factor a(p).
(p + 2)**2/4
Let q(j) be the first derivative of -4*j**3/3 + 12*j**2 - 36*j + 10. Factor q(d).
-4*(d - 3)**2
Let r(f) be the third derivative of f**5/15 - f**4/3 - 2*f**3 + 6*f**2. Find h such that r(h) = 0.
-1, 3
Factor y**5 - 2*y**5 - 4*y**4 - y**3 + 5*y**5 - 2*y**3 + 2*y**2 + y.
y*(y - 1)**2*(2*y + 1)**2
Let k = 601/12 - 50. Let r(p) be the third derivative of 0*p - 1/12*p**4 + 1/24*p**5 - 2*p**2 + k*p**3 - 1/120*p**6 + 0. Suppose r(s) = 0. What is s?
1/2, 1
Let x(l) be the first derivative of -l**2 - 2*l + 2. Let k be x(-3). Solve -k*w**3 + w**4 + 2*w**2 + 0*w**3 + w**4 = 0.
0, 1
Let u(t) be the third derivative of -t**6/40 + 3*t**5/20 - 2*t**3 - 6*t**2. Factor u(g).
-3*(g - 2)**2*(g + 1)
Let q(w) be the first derivative of -1 + 0*w**3 + 1/4*w**4 + 0*w - 1/2*w**2. Suppose q(s) = 0. Calculate s.
-1, 0, 1
Solve -18*d**2 + 6 - 12*d + 15*d**3 - 3*d + 18*d**4 + 6*d = 0 for d.
-1, 1/2, 2/3
Factor 8*s**2 + s**3 + 33*s**4 + 3*s**3 - 37*s**4.
-4*s**2*(s - 2)*(s + 1)
Let d(z) be the third derivative of z**7/630 - z**6/180 - z**5/15 - z**4/12 - 3*z**2. Let t(q) be the second derivative of d(q). Suppose t(w) = 0. What is w?
-1, 2
Find f, given that 0 + 1/2*f**4 + 3/2*f**2 - 1/2*f - 3/2*f**3 = 0.
0, 1
Let g(i) be the second derivative of -i**5/4 + 25*i**4/12 - 10*i**3/3 + 29*i. Find t such that g(t) = 0.
0, 1, 4
Let s = -15 - -181/12. Let b(h) be the first derivative of 2 + 2/3*h + 5/6*h**2 + 4/9*h**3 + s*h**4. Factor b(u).
(u + 1)**2*(u + 2)/3
Let 0 - 3/2*b**2 - 6*b = 0. What is b?
-4, 0
Let n = -68 - -23. Let x be (-145)/n - (-2)/(-9). Factor 1/2*g**2 + 1/2*g**4 + 0 + 0*g + g**x.
g**2*(g + 1)**2/2
Let d(m) = 2*m**5 + 2*m**4 + 4*m**3 - m**4 + 1 - 11*m**3 + m - 3*m**2 - 3. Let i(g) = g**5 + g**4 + g**3 + 1. Let w(y) = d(y) + 2*i(y). Solve w(c) = 0.
-1, 0, 1/4, 1
Let u(w) be the third derivative of 0*w**6 + 6*w**2 + 0 + 1/30*w**3 - 1/150*w**5 + 0*w + 0*w**4 + 1/1050*w**7. Solve u(z) = 0.
-1, 1
Let n = 131/210 + 3/70. Factor 1/3*m**5 - n*m**3 + 0*m**2 + 1/3*m + 0 + 0*m**4.
m*(m - 1)**2*(m + 1)**2/3
Let i be (7/(-28))/((-2)/4). Let k(q) be the second derivative of -q + 1/12*q**4 + 1/3*q**3 + i*q**2 + 0. Factor k(f).
(f + 1)**2
Let a(u) be the third derivative of -u**8/1344 - u**7/280 - u**6/240 + 9*u**2. Factor a(r).
-r**3*(r + 1)*(r + 2)/4
Suppose -3*y = -6*y. Determine p, given that -5 + 13 + y*p + 5*p + 2*p**2 + 3*p = 0.
-2
Let j(g) = 5*g**2 + 11*g + 2. Let t(i) = -4*i**2 - 10*i - 1. Let m(a) = -5*j(a) - 6*t(a). What is u in m(u) = 0?
1, 4
Let b be 32/150 + 5/(-15). Let d = b - -18/25. Suppose -12/5*y - d*y**3 + 0 - 12/5*y**2 = 0. What is y?
-2, 0
Let q = 3 + -3. Suppose q*j = -3*j + 9. Factor -k**j + k**3 + 5*k**2 - 2*k**3 - 4*k**2.
-k**2*(2*k - 1)
Suppose 10/9*s - 22/9*s**2 + 8/9*s**3 + 4/9 = 0. What is s?
-1/4, 1, 2
Suppose 8 = 3*n + n. Let t be (-4)/10*(-7 + 2). Let -1 + d**2 - t*d**2 + 2*d**n = 0. Calculate d.
-1, 1
Let p(s) = 5*s**3 - 6*s**2 + 5*s. Let m(l) = -2*l**3 + 2*l**2 - 2*l. Let w = 7 - 10. Let y(j) = w*p(j) - 8*m(j). Factor y(o).
o*(o + 1)**2
Let s(q) = q**3 + 10*q**2 + 20*q - 5. Let c be s(-7). Factor -2/7*x**3 + 0 - 2/7*x + 4/7*x**c.
-2*x*(x - 1)**2/7
Factor -8*n**5 + 8*n**5 + 4*n**3 - 2*n**5 + 2*n**4 + 0*n**4.
-2*n**3*(n - 2)*(n + 1)
Suppose 0 = -h + 3*w + 2, -3*h + 6 = w - 0*w. Suppose 4 - u**3 + 5*u**3 + 8*u**2 + 8*u**h + 14*u - 5*u**4 - 2*u**5 + u**4 = 0. Calculate u.
-1, 2
Solve -2*d**2 - 2*d**5 + 2*d**3 + 5*d**2 - 3*d**2 = 0.
-1, 0, 1
Let b(l) = l**5 + l**2 + l - 1. Let w(g) = -g**3 - g**2 - g + 1. Let y(d) = -d**3 + 6*d**2 - 5*d - 1. Let n be y(5). Let z(h) = n*w(h) - b(h). Factor z(t).
-t**3*(t - 1)*(t + 1)
Let u(y) = y**2 + y + 1. Let k(f) = -8*f**2 + 0 - 4 + 2*f**2 + f**3. Let j = 2 - 8. Let s(l) = j*u(l) - 2*k(l). Factor s(r).
-2*(r - 1)**3
Let r(u) = u**4 + u**3 - u - 1. Let v(y) = 10*y**4 + y**3 - 21*y**2 - 11*y + 1. Let m(b) = -3*r(b) + v(b). Factor m(z).
(z - 2)*(z + 1)**2*(7*z - 2)
Factor 4/9*f**3 + 0*f - 2/9*f**4 + 0 + 0*f**2.
-2*f**3*(f - 2)/9
Suppose 5*n + 5 = 5. Let r(v) be the third derivative of 0*v**3 + 0*v + 0*v**7 - 1/560*v**8 + 0*v**5 + n - 1/40*v**4 - 2*v**2 + 1/100*v**6. Factor r(p).
-3*p*(p - 1)**2*(p + 1)**2/5
Let w(d) be the first derivative of -12*d**5/5 - 17*d**4 - 40*d**3 - 24*d**2 + 32*d - 3. Factor w(q).
-4*(q + 2)**3*(3*q - 1)
Let u(s) = 2*s - s + 9 + 3*s - 5*s. Let x be u(7). Find o, given that 0 + 1/3*o**x - o = 0.
0, 3
Let x(n) = -2*n**4 + 5*n**3 - 3*n**2 - 2*n - 1. Let v(s) = -11*s**4 + 29*s**3 - 17*s**2 - 12*s - 6. Let l(j) = 6*v(j) - 34*x(j). Factor l(z).
2*(z - 1)*(z + 1)**3
Let c be (1 + (-174)/54)*6/(-16). Factor 25/6*u**3 - 2/3 - 8/3*u - c*u**2.
(u - 1)*(5*u + 2)**2/6
Determine z, given that 8/3*z + 4/3*z**3 - 2/9*z**4 - 26/9*z**2 - 8/9 = 0.
1, 2
Find g such that 44*g - 3 - 224*g**4 + 64*g**5 - 172*g**2 - 6 + 292*g**3 + 5 = 0.
1/4, 1
Let c = 44/31 - 96/155. Factor c - 22/5*b**2 - 18/5*b.
-2*(b + 1)*(11*b - 2)/5
Let x be 1/(-3) - (-2)/((-12)/(-2)). Let t(h) be the first derivative of 1/5*h**3 + x*h - 1 + 1/5*h**2. Factor 