2 - q**z + q + 11 + 6.
-(q - 1)**2*(q + 1)
Let g = -3 - -7. Let 0*y**3 - y - 1/2*y**g + 3/2*y**2 + 0 = 0. What is y?
-2, 0, 1
Let x be 16/(-30) - 8/12. Let s = -32/35 - x. Factor -s*d**2 + 0 + 2/7*d.
-2*d*(d - 1)/7
Let a(t) be the first derivative of t**4/2 - 3*t**2 - 4*t - 3. Solve a(v) = 0 for v.
-1, 2
Let r(x) = -5*x**3 + 5*x + 2. Let b(o) = 4*o**3 + o**2 - 5*o - 2. Let l(j) = -4*b(j) - 3*r(j). Let n be l(-5). Factor 1/3*c**n + 4/3*c + 4/3.
(c + 2)**2/3
Factor 0*i + 11*i**2 + 16*i**2 - 2*i + 2*i**3 + 2*i**4 - 29*i**2.
2*i*(i - 1)*(i + 1)**2
Let o = -12 + 14. Let c(q) be the first derivative of -2/3*q**6 + 1/4*q + 1 - 73/16*q**4 - 11/8*q**o + 43/12*q**3 + 14/5*q**5. Let c(b) = 0. What is b?
1/4, 1
Let f(w) be the second derivative of 0 - 2*w + 0*w**3 + 1/336*w**7 + 0*w**2 - 1/160*w**5 + 1/96*w**4 - 1/240*w**6. Let f(z) = 0. What is z?
-1, 0, 1
Let v(o) be the first derivative of 1/2*o**2 - 1/12*o**3 - 1 - o. Determine m, given that v(m) = 0.
2
Let j(n) be the second derivative of 0*n**3 - 1/70*n**5 + 0 + 1/42*n**4 + 0*n**2 + 6*n. Factor j(c).
-2*c**2*(c - 1)/7
Let j = -3 - -5. Factor 3*m + 3*m**j - 3*m**3 + 6*m - 3*m.
-3*m*(m - 2)*(m + 1)
Suppose -4*p + 5*d + 17 = 9, -2*p = 5*d - 4. Find x, given that 1/2*x**p - 1/2*x + 3/2*x**4 + 0 + 5/2*x**3 = 0.
-1, 0, 1/3
Let p(m) be the second derivative of -9*m**5/80 - m**4/4 + m**3/8 + 3*m**2/4 + 23*m. Factor p(g).
-3*(g + 1)**2*(3*g - 2)/4
Let q(u) be the second derivative of 0*u**2 - 1/60*u**5 + 1/18*u**4 - 1/18*u**3 + 0 - 3*u. Let q(l) = 0. What is l?
0, 1
Let y be -1 - -8 - 7*1. Factor -1/7*b**2 - 2/7*b + y.
-b*(b + 2)/7
Let s(i) = i**2 + i. Let p be s(1). Solve -4/3 - 2/3*u**p - 2*u = 0 for u.
-2, -1
Factor -5*w + 12*w**4 + 4*w**2 + 5*w + 4*w**5 + 12*w**3 + 0*w**2.
4*w**2*(w + 1)**3
Let w(x) be the third derivative of -x**10/75600 - x**9/15120 - x**5/30 + x**2. Let z(g) be the third derivative of w(g). Let z(o) = 0. What is o?
-2, 0
Let w = 379 + -379. Factor 2/9*a**3 + 0 - 4/9*a**2 + w*a + 2/3*a**4.
2*a**2*(a + 1)*(3*a - 2)/9
Let j be (-13)/2 + 0 + -1. Let h = -71/10 - j. Let 8/5*z + 8/5 + h*z**2 = 0. What is z?
-2
Factor -104*j**2 + 3*j**3 + 48*j + 36 + 219*j**2 - 94*j**2.
3*(j + 2)**2*(j + 3)
Let k(o) = 0*o**2 - 4*o - o**2 + 0*o**2 + 5. Let z be k(-4). Factor 4*u**3 + 3*u**4 - 6*u**4 + 4*u**2 - 9*u**z + 4*u**3.
-u**2*(u - 1)*(3*u + 2)**2
Let i(l) be the first derivative of -2*l**3/51 + 3*l**2/17 - 4*l/17 + 6. Factor i(d).
-2*(d - 2)*(d - 1)/17
Let b(w) = 2*w - 6. Let h be b(3). Suppose h = -3*v + 6. Factor -2/3*l**v - 4/3*l + 0.
-2*l*(l + 2)/3
Factor 4*r**3 - 145 + 5*r + 147 + 4*r**2 - 3*r**3.
(r + 1)**2*(r + 2)
Let z(m) be the first derivative of -m**6/60 + m**5/40 + m**4/8 - 5*m**3/12 + m**2/2 + 7*m + 3. Let i(o) be the first derivative of z(o). Factor i(h).
-(h - 1)**3*(h + 2)/2
Let g be 1*3/6*(4 - -4). Let u(b) be the third derivative of 0*b - 1/60*b**g + 0 + 1/300*b**5 - 4*b**2 + 1/30*b**3. Factor u(w).
(w - 1)**2/5
Let f(s) = -s**3 - 2*s**2 + s + 5. Let m be f(-2). Determine l so that 1/4*l**4 + 3/2*l**3 + m*l**2 + 2*l + 0 = 0.
-2, 0
Suppose -5*b = -4*j + 3, -3*j + 22*b + 2 = 18*b. Solve 0*v**j + 0 + 0*v + 2/7*v**3 = 0 for v.
0
Let d(i) be the second derivative of -1/72*i**4 + 0 + 3*i + 1/120*i**5 - 1/36*i**3 + 1/12*i**2. Solve d(k) = 0 for k.
-1, 1
Let i(b) be the first derivative of -4*b**6/3 + 11*b**4/2 - 6*b**3 + 2*b**2 - 7. Determine v, given that i(v) = 0.
-2, 0, 1/2, 1
Suppose 4*s = -4*k + 12, 6 = s - 4*k + 8*k. Factor 2*x**2 - x - 2*x**2 - x**s.
-x*(x + 1)
Let i(g) be the first derivative of g**4/12 + g**3/3 + g**2/2 + g/3 + 5. Factor i(b).
(b + 1)**3/3
Let d(a) be the second derivative of 1/20*a**5 + 0*a**6 - 1/12*a**3 + 2*a - 1/84*a**7 + 0*a**4 + 0*a**2 + 0. Determine r, given that d(r) = 0.
-1, 0, 1
Let c = -605 + 605. Let c*m + 0 + 4/7*m**2 + 6/7*m**3 = 0. What is m?
-2/3, 0
Let b(d) be the third derivative of d**9/45360 - d**8/20160 - d**7/3780 + d**4/12 + 4*d**2. Let k(q) be the second derivative of b(q). Factor k(f).
f**2*(f - 2)*(f + 1)/3
Let q = -118/7 - -17. Factor 1/7*o**3 + q*o**2 - 1/7 - 1/7*o.
(o - 1)*(o + 1)**2/7
Let l(r) be the third derivative of 2*r**7/175 + 11*r**6/150 + r**5/5 + 3*r**4/10 + 4*r**3/15 - r**2. Solve l(q) = 0 for q.
-1, -2/3
Suppose 4*r = 5*r - 4. Factor -4*q**4 + 2*q + 2*q**r - 2*q**3 + 0*q**3 + 2*q**2.
-2*q*(q - 1)*(q + 1)**2
Let o(d) = -d**4 - 1. Let x(a) = -7*a**4 - a**3 + a**2 + a - 6. Suppose -p = -k + 2*p + 5, -5*p = -2*k + 8. Let q(l) = k*x(l) + 6*o(l). Factor q(y).
y*(y - 1)*(y + 1)**2
Factor 2/5*o**2 + 0 + 1/5*o**3 + 0*o.
o**2*(o + 2)/5
Let c = -83 + 124. Let o = -38 + c. Factor 9/5*s**2 - 27/5*s + 27/5 - 1/5*s**o.
-(s - 3)**3/5
Let i(w) be the third derivative of -w**5/100 + w**4/20 + 22*w**2. Suppose i(c) = 0. What is c?
0, 2
Suppose 3*t = -4*s + 21, -4*s + 19 = 2*t + 1. Factor 2*w**t - 2*w**3 - 12*w**2 + 15*w + 2*w**3 - 6 + w**3.
3*(w - 2)*(w - 1)**2
Suppose 0 = -z + p, -5*z - 12*p + 12 = -14*p. Determine r, given that 0 + 0*r**2 + 0*r**3 - 2/3*r**5 + 0*r + 0*r**z = 0.
0
Suppose 5*z = 4*s - 4, 3 = 4*z + 2*s + s. Determine d so that -8/11*d**2 + 2/11*d + z = 0.
0, 1/4
Solve 6/5*q**2 - 4/5*q - 2/5*q**3 + 0 = 0 for q.
0, 1, 2
Let a(r) be the third derivative of r**5/210 + r**4/28 + 2*r**3/21 + 4*r**2. Factor a(d).
2*(d + 1)*(d + 2)/7
Let d be 8 - 2/4*-2. Let -d*n**2 + 6*n**2 + 12 + 0*n**2 = 0. What is n?
-2, 2
Let n(h) = -h**4 + h**3 - h + 1. Let z(q) = -23*q**4 - 9*q**3 + 4*q**2 - 5*q + 5. Let g(f) = 10*n(f) - 2*z(f). Factor g(x).
4*x**2*(x + 1)*(9*x - 2)
Let s(j) be the second derivative of -j + 0*j**3 + 0*j**4 + 0*j**2 + 1/35*j**6 + 0 - 1/70*j**5. Factor s(n).
2*n**3*(3*n - 1)/7
Let y(j) = 5*j**3 - 4*j**2 + 41*j + 48. Let w(b) = -b**3 + b**2 - 10*b - 12. Let f(m) = -18*w(m) - 4*y(m). Determine k, given that f(k) = 0.
-2, 3
Let v(x) = 6*x**3 + 6*x**2. Let c(w) = -w**2 - 5*w**3 + 0*w**2 - 4*w**2. Let b(r) = 3*c(r) + 2*v(r). Solve b(k) = 0 for k.
-1, 0
Let x = -9 - -13. Let v be 12/30*5/x. Factor -v - 1/2*i**2 - i.
-(i + 1)**2/2
Let r(c) be the first derivative of 1/12*c**4 + 0*c**3 - 1/2*c**2 - 1/30*c**5 + 0*c + 2. Let q(g) be the second derivative of r(g). Find s, given that q(s) = 0.
0, 1
Let p(a) be the first derivative of -4/15*a**3 + 0*a - 1/10*a**4 - 4 - 1/5*a**2. Factor p(r).
-2*r*(r + 1)**2/5
Let c be (28/21)/(2/18). Suppose 2 - 2*m**3 + 0*m + 6*m**5 - 2*m**3 + 10*m**4 - c*m**2 - 2*m = 0. What is m?
-1, 1/3, 1
Suppose 2*x + s - 8 = -s, -x + 4*s - 6 = 0. Let n(t) be the third derivative of -1/360*t**6 + x*t**2 - 1/24*t**4 + 1/18*t**3 + 1/60*t**5 + 0*t + 0. Factor n(p).
-(p - 1)**3/3
Let g(z) = z. Let v be g(4). Suppose 0*y + v*y = 12. Suppose 0 - 1/3*r**4 + 1/3*r - 1/3*r**y + 1/3*r**2 = 0. What is r?
-1, 0, 1
Let d(o) be the second derivative of o**6/180 + o**5/60 - o**4/24 - 2*o**3/9 - o**2/3 - 13*o. Factor d(p).
(p - 2)*(p + 1)**2*(p + 2)/6
Let g be ((-3)/(-7) - 1)*(-5)/10. Determine y so that -2/7*y**2 + g*y**4 + 4/7*y - 6/7*y**3 + 2/7*y**5 + 0 = 0.
-2, -1, 0, 1
Determine v, given that -4*v + 16/3 - 4/3*v**2 = 0.
-4, 1
Let t = -5/3 - -2. Solve -2/3*k**3 - k**2 + 0*k + t = 0 for k.
-1, 1/2
Let -26/3*a**2 + 12*a - 3*a**3 - 8/3 + 7/3*a**4 = 0. Calculate a.
-2, 2/7, 1, 2
Let h(m) = -m**2 - 6*m - 8. Let x be h(-6). Let v be (-27)/(-2)*x/(-42). Factor 64/7*a**3 + 96/7*a + v*a**4 + 16*a**2 + 2/7*a**5 + 32/7.
2*(a + 1)*(a + 2)**4/7
Let b be 3/(1 + 7/(-4)). Let t be 1/b + 58/8. Factor j**3 - t*j**2 + 7*j**2 - j.
j*(j - 1)*(j + 1)
Suppose 4*r**2 - 2*r**5 - 2*r**2 + 3*r**3 + 6*r**4 - 9*r**3 = 0. Calculate r.
0, 1
Suppose j - 4*j = 0. Suppose j = 5*i - 3*h + 3 + 3, 5*h - 10 = -2*i. Find d such that 0*d**2 + 6/7*d**5 + i + 0*d - 4/7*d**3 + 2/7*d**4 = 0.
-1, 0, 2/3
Let w(h) = -1 + 0*h - h**2 - 34*h**3 - h + 33*h**3. Let g(v) = -46*v**3 - 186*v**2 - 124*v - 20. Let y(x) = -g(x) - 4*w(x). Factor y(b).
2*(b + 3)*(5*b + 2)**2
Let t(a) be the first derivative of -3 + 3/4*a**4 + 0*a**3 + 0*a**2 + 0*a. Factor t(f).
3*f**3
Let v(o) be the third derivative of -o**7/525 + 2*o**5/75 + 15*o**2. Determine x so that v(x) = 0.
-2, 0, 2
Determine u so that 1/3 + 2/9*u - 1/9*u**2 = 0.
-1, 3
Let d(s) = -s**2 + 9*s - 9. Let t be d(7). Suppose -2*h + 2*k + 16 = -k, t*k + 22 = h. Factor -f**4 - 4*f**h + 4*f**2 + 2*f**3 + 1 - 2*f.
-(f - 1)**3*(f + 1)
Let n