b**3*(b + 2)*(3*b + 1)/3
Let n(q) = -83*q**4 + 196*q**3 - 74*q**2 + 6*q + 2. Let o(w) = -167*w**4 + 391*w**3 - 147*w**2 + 11*w + 5. Let g(z) = 5*n(z) - 2*o(z). Factor g(t).
-t*(t - 2)*(9*t - 2)**2
Let x be 4/8 - (-1)/(-2). Let x*c**4 - 3*c**2 - c**4 - 1 + 3*c**3 - 3*c + 3 + 2*c**2 = 0. What is c?
-1, 1, 2
Let t(g) be the second derivative of -g**4/4 - g**3 - 3*g**2/2 + 4*g. Factor t(f).
-3*(f + 1)**2
Let y = 10 + -6. Let p(c) be the first derivative of -2 - 1/3*c - 1/3*c**3 + 1/12*c**y + 1/2*c**2. Let p(v) = 0. Calculate v.
1
Let k(a) be the third derivative of -a**5/300 - a**4/15 - 8*a**3/15 + 7*a**2. Solve k(i) = 0 for i.
-4
Let v(i) be the third derivative of i**8/1176 + 2*i**7/735 - i**5/105 - i**4/84 + 7*i**2. Suppose v(a) = 0. Calculate a.
-1, 0, 1
Let w(u) = -6 + 0*u + 4*u - 2*u - 6. Let n be w(8). Find t such that -4*t**3 - 7/2*t**2 + 0 - 3/2*t**n - t = 0.
-1, -2/3, 0
Suppose -r - 3*q - q = -14, 0 = -2*r + 3*q + 6. Factor 11*a + 3*a**4 - a - r*a**3 - 3 - 6*a + 2*a.
3*(a - 1)**3*(a + 1)
Let j(z) be the first derivative of -z**6/39 - 2*z**5/65 + z**4/13 + 4*z**3/39 - z**2/13 - 2*z/13 - 5. Suppose j(d) = 0. What is d?
-1, 1
Suppose 4*b + 3*y = -40, 4*y - 3*y - 3 = b. Let k be (-2)/b + 0/(-3). Factor 2/7 - 4/7*r**2 + k*r**4 + 0*r + 0*r**3.
2*(r - 1)**2*(r + 1)**2/7
Let n = -12 - -16. Suppose 12 + 0 = n*u. Determine g, given that 4/5*g**4 + 0*g**u + 2/5*g - 2/5*g**5 - 4/5*g**2 + 0 = 0.
-1, 0, 1
Let r(v) be the third derivative of -v**7/1260 + 7*v**6/3240 + v**5/270 - v**4/3 + 4*v**2. Let n(p) be the second derivative of r(p). Factor n(u).
-2*(u - 1)*(9*u + 2)/9
Suppose 5 = -f + 7. Suppose 9*c**4 + 5*c**5 - 12*c**3 + 3*c**5 - 2*c**5 - 12*c**f + 3 + 6*c**3 = 0. Calculate c.
-1, 1/2, 1
Let g(r) be the first derivative of 1/15*r**3 + 1 + 0*r - 1/25*r**5 - 1/20*r**4 + 1/10*r**2. Find h such that g(h) = 0.
-1, 0, 1
Let z be 1 + -1 + 0 - -3. Let w be (-3 - 8/(-36)) + z. Suppose 4/9*s**2 + w*s + 2/9*s**3 + 0 = 0. Calculate s.
-1, 0
Factor -2/17*u**3 + 0 + 0*u + 4/17*u**2.
-2*u**2*(u - 2)/17
Factor -15*j**3 + 12*j**3 + 7*j**3.
4*j**3
Factor 0 - f + 1/2*f**2.
f*(f - 2)/2
Let z(t) be the first derivative of 0*t**2 + 1 + 1/2*t**4 - 1/3*t**6 + 0*t + 0*t**5 + 0*t**3. Find a, given that z(a) = 0.
-1, 0, 1
Let t be 0/(1 + -1 - -3). Let k(b) be the third derivative of 1/30*b**5 + 0 - 3*b**2 + 0*b + t*b**4 + 1/15*b**6 + 0*b**3. Factor k(n).
2*n**2*(4*n + 1)
Let d = -1 + 4. Suppose 1 = -4*b + a, 0 = d*b + 4*a - 0*a - 4. Find g, given that 0*g + 1/3*g**2 + 0 - 1/3*g**4 + b*g**3 = 0.
-1, 0, 1
Let g = -19 - -19. Suppose -1/3*h**4 + g*h + 0 - 4/3*h**2 + 4/3*h**3 = 0. Calculate h.
0, 2
Let m = 17 + -5. Suppose 0 = -b - q - 2*q + m, -5*q + 20 = b. Suppose 0*s + 4/9*s**3 + b - 2/9*s**2 - 2/9*s**4 = 0. What is s?
0, 1
Suppose 0*x - 2*t - 4 = -x, x = t + 3. Factor -2*c**x - 3*c + 4*c - c.
-2*c**2
Let f(x) = 2*x. Let k(o) = -o**2 - 1. Let m = 6 - 4. Let v(s) = m*f(s) + 2*k(s). Factor v(c).
-2*(c - 1)**2
Let n(o) be the third derivative of 0 - 1/60*o**5 + 0*o + o**2 + 1/360*o**6 + 0*o**4 + 2/9*o**3. Let n(l) = 0. What is l?
-1, 2
Let s = 774 - 774. Factor -2/9*g**3 + s*g**2 + 0 + 2/9*g.
-2*g*(g - 1)*(g + 1)/9
Let k(l) = l**2 - 15*l + 2. Let a be k(15). Factor 4*m + 8*m**3 + 12*m**a + 3 + 1 - 4.
4*m*(m + 1)*(2*m + 1)
Let t(d) be the third derivative of -d**6/780 - d**5/195 + d**4/52 + 11*d**2 + 1. Determine i so that t(i) = 0.
-3, 0, 1
Suppose 0 = -3*x + 14 - 8. Let s be ((-5)/15)/(x/(-4)). Factor s + 2/3*w**2 + 4/3*w.
2*(w + 1)**2/3
Let h(q) be the second derivative of q**7/28 - q**6/20 + 11*q. Factor h(o).
3*o**4*(o - 1)/2
Let p(k) be the third derivative of 0 - 1/30*k**5 - 1/24*k**4 + 1/210*k**7 + 1/6*k**3 + 0*k + 2*k**2 - 1/336*k**8 + 1/60*k**6. Factor p(m).
-(m - 1)**3*(m + 1)**2
Solve 10*a**2 + 22*a**2 + 28*a - 4*a**3 - 36*a**2 + 28*a**2 = 0 for a.
-1, 0, 7
Let r = 4 - 8. Let k(u) = -5*u**5 + 3*u**4 + 5*u**3 + 3*u - 3. Let n(i) = -6*i**5 + 4*i**4 + 6*i**3 + 4*i - 4. Let l(c) = r*k(c) + 3*n(c). Factor l(h).
2*h**3*(h - 1)*(h + 1)
Solve -18/5 - 9/5*u**3 - 3/5*u + 6*u**2 = 0 for u.
-2/3, 1, 3
Factor 0 + 2/3*n**4 + n**3 + 0*n**2 - 1/3*n.
n*(n + 1)**2*(2*n - 1)/3
Let h be (0*2/10)/1. Suppose 3*v = v + 4. Factor -4/11*s**4 + 0*s + 2/11*s**3 + h + 0*s**v + 2/11*s**5.
2*s**3*(s - 1)**2/11
Determine i so that -1 + 2*i**3 - 449*i**2 + 8*i + 1 + 441*i**2 = 0.
0, 2
Let w(o) be the first derivative of o + 1/2*o**2 - 1/3*o**3 - 1/4*o**4 + 2. Factor w(m).
-(m - 1)*(m + 1)**2
Let d be (-7 + (-72)/(-9))*(-4)/(-9). What is b in -2/3*b + d + 2/9*b**2 = 0?
1, 2
Let w = -1231 + 1234. Factor 0 + 1/7*k**2 + 1/7*k**w - 2/7*k.
k*(k - 1)*(k + 2)/7
Let o be 2 - 4/6*-3. Let s be (o/(-6))/((-2)/12). Factor 2*y**5 + s*y - 4*y.
2*y**5
Let f(m) = 14*m**3 + 32*m**2 + 14*m - 4. Let g(y) = 27*y + 36*y**2 + 16*y**2 - 8 + 29*y**3 + 12*y**2. Let o(n) = -7*f(n) + 4*g(n). Factor o(r).
2*(r + 1)**2*(9*r - 2)
Factor 104 + 119*d**3 - 1664*d - 1544*d**2 - 18*d**4 - 431*d**3 - 616.
-2*(d + 8)**2*(3*d + 2)**2
Let a(q) be the first derivative of q**6/1440 + q**5/480 - q**4/48 + 2*q**3/3 + 4. Let h(y) be the third derivative of a(y). Solve h(c) = 0.
-2, 1
Let k be ((-11)/5 - (-2)/10)*-1. Determine j, given that -12/5*j**k - 2/5 - 2/5*j**4 + 8/5*j + 8/5*j**3 = 0.
1
Let w = 227/2786 + -2/199. Let r(k) be the first derivative of 1 + 2/7*k**3 + w*k**4 + 0*k + 2/7*k**2. Factor r(y).
2*y*(y + 1)*(y + 2)/7
Suppose 0 = -30*j + 7*j. Factor j + 0*u + 10/11*u**3 - 14/11*u**4 + 6/11*u**5 - 2/11*u**2.
2*u**2*(u - 1)**2*(3*u - 1)/11
Let s(j) be the third derivative of -j**7/2520 + j**6/288 - 7*j**5/720 + j**4/96 + 41*j**2. Factor s(x).
-x*(x - 3)*(x - 1)**2/12
Let r(y) be the second derivative of -y**6/39 + 6*y**5/65 - 3*y**4/26 + 2*y**3/39 + 14*y. Factor r(h).
-2*h*(h - 1)**2*(5*h - 2)/13
Find i, given that 5*i**3 - 4 + 35*i**4 + 8*i**2 - 39*i**4 + 3*i**3 - 4*i**5 - 4*i = 0.
-1, 1
Let l(f) = 16*f**4 + f**3 - f - 16. Let g(z) = 0*z**4 - 3 + 0 + 3*z**4. Let n(o) = 22*g(o) - 4*l(o). Factor n(w).
2*(w - 1)**3*(w + 1)
Let g(r) be the first derivative of -r**4/4 + r**3/3 + 5*r**2/2 + 3*r + 3. Let g(j) = 0. Calculate j.
-1, 3
Let w = 61/16 - 911/240. Let h(j) be the second derivative of 0*j**2 + 0 + 1/36*j**4 + w*j**5 - 1/18*j**3 - 1/90*j**6 - 2*j. Determine g so that h(g) = 0.
-1, 0, 1
Let v(k) be the second derivative of -k**9/68040 + k**7/11340 + k**4/2 + 5*k. Let s(j) be the third derivative of v(j). Find q such that s(q) = 0.
-1, 0, 1
Let w(a) be the first derivative of 3*a**5/10 - 27*a**4/8 + 14*a**3 - 27*a**2 + 24*a - 4. Determine u so that w(u) = 0.
1, 2, 4
Suppose -2*j = 3*j + a + 54, -5*j - 52 = 3*a. Let i = -8 - j. Suppose 2*g**i + 2/3*g**2 - 2/3 - 2*g = 0. Calculate g.
-1, -1/3, 1
Let t(a) be the first derivative of -a**6/15 + 4*a**5/25 + 4*a**4/5 + 53. Factor t(d).
-2*d**3*(d - 4)*(d + 2)/5
Let q(b) = -b**2 - b. Let h(t) = -4*t**2 - 6*t - 2. Let n(d) = 2*h(d) + 20*q(d). Factor n(j).
-4*(j + 1)*(7*j + 1)
Let o(s) be the third derivative of -s**6/720 - s**5/120 - s**4/48 + 7*s**3/6 - 5*s**2. Let d(a) be the first derivative of o(a). Suppose d(w) = 0. What is w?
-1
Let a(n) be the first derivative of 2*n**4/9 + 8*n**3/27 - n**2/9 - 2*n/9 - 4. Find s such that a(s) = 0.
-1, -1/2, 1/2
Let r(v) = -10*v**2 + 28*v - 16. Let j(u) = 3*u**2 - 9*u + 5. Let b(s) = -16*j(s) - 5*r(s). Solve b(f) = 0.
-2, 0
Determine z so that -39/2*z + 9 + 15/2*z**4 + 39/2*z**3 - 33/2*z**2 = 0.
-3, -1, 2/5, 1
What is o in -3/7*o**4 - 33/7*o**3 - 15*o**2 - 75/7*o + 0 = 0?
-5, -1, 0
Let q(x) be the second derivative of -9/20*x**5 + 2*x + 0 + 0*x**3 + 2/5*x**6 + 1/6*x**4 + 0*x**2 - 5/42*x**7. Let q(z) = 0. What is z?
0, 2/5, 1
Factor -11*s + s + s**4 + 22 + 12*s**2 - 13 - 6 - 6*s**3.
(s - 3)*(s - 1)**3
Suppose 2*r - 14 = 3*z - 7*z, -2*z + 13 = 3*r. Factor 1 + 6 + 84*f + 11 + 98*f**z.
2*(7*f + 3)**2
Let s(h) be the third derivative of -h**6/480 + h**5/80 - h**4/48 - 10*h**2. Find v such that s(v) = 0.
0, 1, 2
Find g, given that 4*g**2 - 3 + 0 - 4*g - 1 - 4 = 0.
-1, 2
Let l(z) be the second derivative of -1/7*z**2 + 8/35*z**5 - 1/3*z**4 - 3/35*z**6 + 2/7*z**3 + 0 - 4*z + 2/147*z**7. Factor l(p).
2*(p - 1)**4*(2*p - 1)/7
Let k(m) be the second derivative of 3*m**5/40 + 5*m**4/24 - m**3/3 - m**2 - 8*m. Solve k(x) = 0 for x.
-2, -2/3, 1
Let x(w) = -2*w*