0, 1/2, 1
Let r(i) be the third derivative of -i**5/15 + i**4/6 + 4*i**3 + 27*i**2. Factor r(b).
-4*(b - 3)*(b + 2)
Let q(o) be the third derivative of -1/315*o**7 + 0*o + 1/9*o**4 + 1/45*o**5 - 2/45*o**6 + 1/126*o**8 + 0 - 1/9*o**3 - 3*o**2. Solve q(b) = 0.
-1, 1/4, 1
Factor 32/3*q - 16/3*q**2 - 8/3*q**3 + 0 + 4/3*q**4.
4*q*(q - 2)**2*(q + 2)/3
Let x(t) = t**3 + 9*t**2 + 7*t + 12. Let g be x(-8). Factor 5 + g*p - 6 + 5 + 9*p**2.
(p + 2)*(9*p + 2)
Let t(w) be the third derivative of w**8/336 + 4*w**7/105 + 5*w**6/24 + 19*w**5/30 + 7*w**4/6 + 4*w**3/3 + 11*w**2. Factor t(j).
(j + 1)**2*(j + 2)**3
Let y(c) = 4*c**5 + 9*c**4 - 7*c**2 + 6*c + 6. Let o(t) = -9*t**5 - 19*t**4 + 15*t**2 - 13*t - 13. Let v(l) = 6*o(l) + 13*y(l). Factor v(g).
-g**2*(g - 1)**2*(2*g + 1)
Find q, given that -63 + 9*q**2 - 6*q - 3*q**4 + 63 = 0.
-2, 0, 1
Factor -24*p + p**2 - 4 + 2 - 13*p**2 - 14 - 2*p**3.
-2*(p + 2)**3
Factor 1/2*t**4 + 0 + 0*t - 1/4*t**2 + 7/8*t**3.
t**2*(t + 2)*(4*t - 1)/8
Let h(p) be the first derivative of -16*p**2 - 1/3*p**6 - 4 + 14/5*p**5 - 19/2*p**4 + 8*p + 50/3*p**3. Factor h(n).
-2*(n - 2)**2*(n - 1)**3
Let o = -838/7 + 120. Factor -2/7*g**3 + 0 - 2/7*g**2 + o*g**4 + 2/7*g.
2*g*(g - 1)**2*(g + 1)/7
Find n such that -2*n - 6*n**2 + 91*n**3 - 93*n**3 - 2*n = 0.
-2, -1, 0
Let j(a) be the first derivative of -a**5/120 + a**4/72 + a**3/36 - a**2/12 + 5*a + 3. Let w(c) be the first derivative of j(c). Let w(n) = 0. What is n?
-1, 1
Let m(p) be the second derivative of -6*p**6/5 + 21*p**5/5 - 16*p**4/3 + 8*p**3/3 + 3*p. Factor m(o).
-4*o*(o - 1)*(3*o - 2)**2
Let w(g) be the first derivative of -4 - 4*g**3 + 6/5*g**5 - 1/2*g**6 - 3/2*g**2 + 3/2*g**4 + 6*g. Find q such that w(q) = 0.
-1, 1, 2
Suppose 4*i - 2*a + 21 = 99, 5*i - 96 = 4*a. Suppose 0*n = 5*n - i. Factor 0*w**2 + 20/3*w**n + 0 + 4/3*w**3 + 0*w + 25/3*w**5.
w**3*(5*w + 2)**2/3
Solve 0 - 2/5*d**2 + 0*d + 1/5*d**3 = 0 for d.
0, 2
Factor 6/7*a + 9/7 - 3/7*a**2.
-3*(a - 3)*(a + 1)/7
Factor 1/2*h**3 + 0 + 0*h + 1/6*h**2.
h**2*(3*h + 1)/6
Let o = -7 + 7. Let t(q) be the second derivative of 0*q**2 - 1/10*q**5 + o + 1/6*q**4 - 1/9*q**3 + 1/45*q**6 - 2*q. Solve t(l) = 0.
0, 1
Let g be 5/(-15) - 128/(-6). Let t be 74/56 + g/(-28). Solve t*w - 2/7*w**2 - 8/7*w**3 + 0 + 6/7*w**4 = 0 for w.
-2/3, 0, 1
Factor 1/2*g**5 + 0*g**3 - 1/2*g - g**2 + 0 + g**4.
g*(g - 1)*(g + 1)**3/2
Let y be ((-10165)/2100)/(-19) - 1/4. Let t(w) be the second derivative of 0*w**2 + 2*w + 1/75*w**6 + 0 + 1/30*w**3 - 1/30*w**4 - y*w**7 + 0*w**5. Factor t(b).
-b*(b - 1)**3*(b + 1)/5
Let v(g) be the second derivative of g**7/105 - 4*g**6/75 + 3*g**5/25 - 2*g**4/15 + g**3/15 - 3*g. Factor v(f).
2*f*(f - 1)**4/5
Let i(m) be the third derivative of -5*m**8/336 + m**7/7 - m**6/2 + 2*m**5/3 + 25*m**2. Let i(c) = 0. What is c?
0, 2
Let d be 31/(-7) - -4 - (-115)/105. Let -d*j + 0 - 1/3*j**3 - j**2 = 0. Calculate j.
-2, -1, 0
Suppose -d + 5*w + 29 = 4, 3*d - 3*w = 51. Let a = 17 - d. Factor 2/9*s**a + 0 - 2/9*s.
2*s*(s - 1)/9
Let i(t) be the third derivative of -t**8/1344 + t**6/240 - t**4/96 + 8*t**2. Factor i(o).
-o*(o - 1)**2*(o + 1)**2/4
Suppose 4*u + 0*b = -5*b - 16, 2*u = 5*b - 8. Let q(z) = -3*z - 6. Let n be q(u). Factor 1 - 6 + n - s**2.
-(s - 1)*(s + 1)
Let y(r) be the third derivative of 5*r**8/2184 + r**7/455 - 7*r**6/780 - r**5/130 + r**4/78 - 6*r**2. Determine k, given that y(k) = 0.
-1, 0, 2/5, 1
Let m(c) = -4 - c**2 + 0 + 3 + 2. Let p(s) = -3*s**2 - s + 4. Let d(v) = -21*m(v) + 6*p(v). Factor d(k).
3*(k - 1)**2
Let p be (-18)/8 + (-1)/(-4). Let m be (-10 + -1 + 1)/p. Let -l**2 + 2*l**3 - m*l**3 - l**2 + l + 4*l**3 = 0. What is l?
0, 1
Let u be 1122/132 + (-9 - -1). Factor 0*i + 0 - 1/2*i**2 - u*i**3.
-i**2*(i + 1)/2
Factor 7/4*c**2 - 1/2*c + 0.
c*(7*c - 2)/4
Let x(m) = -1 + 0*m + 4*m - 3*m. Let a be x(4). Factor -2/9*j**5 - 4/9*j**2 + 2/9*j + 4/9*j**4 + 0*j**a + 0.
-2*j*(j - 1)**3*(j + 1)/9
Let y = 17 + -15. Suppose -5*k**2 - 3*k**2 - 3*k + 4*k**2 + k**y = 0. Calculate k.
-1, 0
Let b = 159 - 157. Let t(f) be the third derivative of 2*f**b + 0*f + 0 - 1/15*f**4 + 1/150*f**5 + 4/15*f**3. Factor t(v).
2*(v - 2)**2/5
Let z(w) be the second derivative of -w**7/42 + 2*w**6/15 - w**5/5 - w**4/6 + 5*w**3/6 - w**2 - 3*w. Determine u, given that z(u) = 0.
-1, 1, 2
Suppose 24*f = -1 + 1. Solve -2/3*s**4 + 2/3*s**3 + 2/3*s**2 - 2/3*s + f = 0 for s.
-1, 0, 1
What is q in -57/5*q**2 + 0*q + 0 + 12*q**3 - 3/5*q**4 = 0?
0, 1, 19
Let b be ((-3)/(-3) + -6)*-1. Factor -l**b + 5*l**5 - 2*l**5 + 4*l**2 - 2*l - 4*l**4.
2*l*(l - 1)**3*(l + 1)
Let t(n) be the third derivative of -n**6/200 - n**5/50 - n**4/40 + 12*n**2. Factor t(x).
-3*x*(x + 1)**2/5
Let i be (22/(-55))/(4/(-20)). Factor -1/2 + 0*p**3 + p**i - 1/2*p**4 + 0*p.
-(p - 1)**2*(p + 1)**2/2
Let o(t) be the third derivative of t**8/1260 + t**7/280 + t**6/180 + t**5/360 - t**3/6 - 3*t**2. Let a(i) be the first derivative of o(i). Factor a(z).
z*(z + 1)**2*(4*z + 1)/3
Suppose -15/2 + 9*s - 3/2*s**2 = 0. Calculate s.
1, 5
Let o be 516/72 - (-7)/(-1). Solve -o*m**2 + 0 + 5/6*m**4 + 1/6*m - 1/3*m**5 - 1/2*m**3 = 0.
-1/2, 0, 1
Factor 7*s**2 + 41*s**2 + 256 + 0*s**3 + 4*s**3 + 159*s + 33*s.
4*(s + 4)**3
Let g(w) be the third derivative of 2/945*w**7 + 0*w - 1/135*w**5 + 0*w**3 + 0*w**4 - 1/180*w**6 + w**2 + 0 + 1/504*w**8. Let g(d) = 0. Calculate d.
-1, -2/3, 0, 1
Let n(m) be the third derivative of 3/200*m**6 + 0*m**3 + 0*m + 1/40*m**4 + 1/350*m**7 + 3/100*m**5 + 2*m**2 + 0. Factor n(a).
3*a*(a + 1)**3/5
Let h = 144613/684 + 2383/76. Let i = 243 - h. Determine y, given that -2/3*y**2 - 2/9 + i*y**3 + 2/3*y = 0.
1
Let k(z) be the first derivative of 2*z**5/65 + 1. Find w such that k(w) = 0.
0
Suppose -2*p = -0*p - 6. Let y(d) be the first derivative of 2/3*d**p - 3*d**2 + 1 + 4*d. Suppose y(t) = 0. What is t?
1, 2
Let q be (-2)/(2 + -3) + 7. Let h(i) = i**3 - 10*i**2 + 11*i - 12. Let c be h(q). Solve -15/2*a - 3 - 3/2*a**3 - c*a**2 = 0.
-2, -1
What is o in -2/9*o**2 - 4/9*o + 0 = 0?
-2, 0
Suppose 0 = -5*d - 0 + 40. Suppose d = 2*p, 4*v - 21 = -v + p. Factor -2*s**3 + 2*s**5 - 4*s**3 + s + 4*s**3 - s**v.
s*(s - 1)**2*(s + 1)**2
Suppose -4 + 2 = -y. Solve 0 + p**2 - p**2 - 8 + y*p**2 = 0 for p.
-2, 2
Let r(v) be the second derivative of v**7/147 - v**5/70 + 3*v. Determine x, given that r(x) = 0.
-1, 0, 1
Let k(s) be the second derivative of -5*s**4/4 + 3*s**3 - 3*s**2/2 + 17*s. Find x such that k(x) = 0.
1/5, 1
Let c(g) be the second derivative of -5*g**7/126 - g**6/18 + g**5/6 - 4*g. Factor c(a).
-5*a**3*(a - 1)*(a + 2)/3
Let u(j) be the first derivative of j**6/180 - 4*j**3/3 + 4. Let f(x) be the third derivative of u(x). Factor f(r).
2*r**2
Let x(b) = b**2 + 83*b + 390. Let c be x(-5). Factor c*j**2 - 2/5*j**4 - 2/5*j**3 + 0 + 0*j.
-2*j**3*(j + 1)/5
Let x(b) be the first derivative of b**6/39 + 2*b**5/65 - 2*b**4/13 - 8*b**3/39 - 6. Solve x(s) = 0.
-2, -1, 0, 2
Let w(m) = 5*m**5 + 7*m**4 - 5*m**3 - 7*m**2 + 2. Let k(s) = -s**4 + s**2 - 1. Let j(f) = 2*k(f) + w(f). Factor j(i).
5*i**2*(i - 1)*(i + 1)**2
Let w be (0*(-1)/(-6))/(-7 - -5). Find s, given that -s**2 + 3/4*s**3 + w + 1/4*s = 0.
0, 1/3, 1
Let v(p) be the third derivative of -5/12*p**4 + 2/3*p**3 + 0*p - 1/60*p**6 + 0 - p**2 + 2/15*p**5. Find y, given that v(y) = 0.
1, 2
Suppose 6 = 5*q - 2*q. Suppose 2*z**q + z**3 - 2*z - 3*z**3 + 4*z**3 - 6*z**2 + 4 = 0. What is z?
-1, 1, 2
Suppose 0 + 0*o - 1/2*o**3 + 1/3*o**2 + 1/6*o**4 = 0. Calculate o.
0, 1, 2
Factor 208*p - 40*p**2 - 20*p**3 - 185*p - 3 + 4*p**3.
-(p + 3)*(4*p - 1)**2
Let s(d) = d**3 - 13*d**2 + 13*d - 11. Let u be s(12). Factor 8*z - 6*z + 3*z**2 - 2*z**2 - 4 + u.
(z - 1)*(z + 3)
Let r = 76 + -455/6. Let z(b) be the second derivative of r*b**3 + 0*b**4 + 1/3*b**2 - 2*b - 1/60*b**5 + 0. Factor z(v).
-(v - 2)*(v + 1)**2/3
Factor -18 - 83 - 20*i + 1 - i**2.
-(i + 10)**2
Let t(d) be the second derivative of -d**9/22680 + d**8/5040 - d**7/3780 + d**4/12 - 4*d. Let v(l) be the third derivative of t(l). Factor v(c).
-2*c**2*(c - 1)**2/3
Let g(j) be the first derivative of j**4/14 - 4*j**3/21 + j**2/7 + 17. Factor g(f).
2*f*(f - 1)**2/7
Let g(q) be the third derivative of -q**8/560 - q**7/280 + q**6/120 + q**5/40 - q**3/3 - 3*q**2. Let s(m) be the first derivative of g(m). Factor s(i