2*(q - 2)*(q - 1)
Let u(i) = -6*i**2 - 64*i - 208. Let j(s) = 4*s**2 + 43*s + 139. Let b(a) = 8*j(a) + 5*u(a). Let b(p) = 0. What is p?
-6
Let j = 7 - 3. Factor -2*t**4 + 2*t**5 + 0*t**4 - j*t**5 - 2*t**3 - 2*t**4.
-2*t**3*(t + 1)**2
Let q(w) be the first derivative of 1/15*w**3 + 1/5*w + 2 + 1/5*w**2. Let q(g) = 0. Calculate g.
-1
Let r(c) be the third derivative of c**8/504 - c**7/63 + c**6/20 - 7*c**5/90 + c**4/18 + c**2. Let r(q) = 0. Calculate q.
0, 1, 2
Let p be 4 - (-2 - -3 - 3). Factor 16 + 104*m - 27*m**4 - 217*m**4 - p*m**4 - 50*m**3 + 180*m**2.
-2*(m - 1)*(5*m + 2)**3
Let t = -28 + 29. Let u(z) be the first derivative of t + 4/5*z + 2/15*z**3 - 3/5*z**2. Determine q so that u(q) = 0.
1, 2
Let o(r) = 0*r**4 + 6*r - 2*r**3 - r**2 - 2*r**4 - r**2 - 1 - 3. Let a(d) = d**2 - d + 1. Let j(x) = 4*a(x) + o(x). Let j(q) = 0. What is q?
-1, 0, 1
Let q(v) be the third derivative of -v**8/420 + 4*v**7/175 - v**6/30 - 13*v**2. Factor q(g).
-4*g**3*(g - 5)*(g - 1)/5
Suppose -34 = -0*j - 4*j - s, 5*s + 14 = 3*j. Suppose -5*w = -w - j. Suppose -2/7*b - 2/7*b**4 + 0 + 2/7*b**w + 2/7*b**3 = 0. Calculate b.
-1, 0, 1
Let b be 1/(-8)*(-3 - -8). Let f = -3/8 - b. Factor 0 + 1/4*y - f*y**3 + 0*y**2.
-y*(y - 1)*(y + 1)/4
Let w(g) be the third derivative of g**7/70 - 7*g**6/120 + g**5/12 - g**4/24 - 2*g**2. Factor w(s).
s*(s - 1)**2*(3*s - 1)
Let g = -74 - -1333/18. Let p(m) be the second derivative of 0*m**2 + 1/30*m**5 + 0 - m - 1/36*m**4 - g*m**3. Factor p(q).
q*(q - 1)*(2*q + 1)/3
What is s in 10*s + 4*s**2 + 1/2*s**3 + 8 = 0?
-4, -2
Let c(b) be the first derivative of 1/25*b**5 + 1/15*b**3 + 2 + 0*b**2 + 1/10*b**4 + 0*b. Factor c(x).
x**2*(x + 1)**2/5
Let t be (-162)/36 - 1/(-2). Let b be -1 + t/(16/(-12)). Solve 2/3*g + 1/3*g**b + 1/3 = 0.
-1
Suppose 16 = 2*j + 12. Find w such that -2*w + w**3 + 2*w - j*w**3 + 2*w**2 - w = 0.
0, 1
Factor -10/11*n + 2/11*n**2 + 6/11 + 2/11*n**3.
2*(n - 1)**2*(n + 3)/11
Let p(m) be the second derivative of -m**6/1440 - m**5/480 - m**3/2 - 2*m. Let g(o) be the second derivative of p(o). Find i, given that g(i) = 0.
-1, 0
Let a(f) be the first derivative of 3*f**4/20 + f**3 + 9*f**2/10 - 27*f/5 + 2. Determine c, given that a(c) = 0.
-3, 1
Let r(b) = -10*b**2. Let g(y) = -3*y**2. Suppose -19 = 5*f + 1. Let t(v) = f*r(v) + 14*g(v). Suppose t(m) = 0. Calculate m.
0
Factor 2250*s + s**3 - 2250*s - 4*s**3.
-3*s**3
Suppose 0 = 4*r - 0*r - 2*b - 22, 23 = 5*r - b. Suppose 2*q - 20 = -3*q. Factor q*f**2 + 2*f**2 + 2*f - r*f**2 - f**2.
f*(f + 2)
Suppose -4*x - 2*q + 10 = 0, 0*x - 4*q = -2*x. Let v(f) = -f**4 + f + 1. Let c(g) = -4*g**4 + 2*g**3 + 2*g + 2. Let d(r) = x*v(r) - c(r). Factor d(k).
2*k**3*(k - 1)
Suppose o - z = 14, 5*o - 5*z - 60 = -2*z. Suppose -3 = -3*j + o, -2*a - 2*j = -12. What is l in 3*l**2 + a*l + 5*l**4 + 3*l**2 - 3*l**4 + 6*l**3 = 0?
-1, 0
Suppose -6*i + 12 = -2*i. Find b, given that 0*b**2 + 1/3*b**5 + 0*b**4 + 0 + 0*b - 1/3*b**i = 0.
-1, 0, 1
Let k(c) be the third derivative of -c**5/20 + c**4/8 + c**3 + 11*c**2. Solve k(w) = 0 for w.
-1, 2
Let l(b) be the second derivative of 3*b - 1/3*b**3 - 2/27*b**4 + 0 - 2/9*b**2. Solve l(s) = 0 for s.
-2, -1/4
Let f(x) be the third derivative of 0 + 7/60*x**5 - 5/24*x**4 - 2*x**2 - 1/3*x**3 + 0*x. Factor f(k).
(k - 1)*(7*k + 2)
Let 11*g**2 + 5*g**2 + 3*g**2 - 10 - 18*g**2 + 9*g = 0. What is g?
-10, 1
Let m(u) = -3*u + 3. Let y be m(-4). Let b be y/35 + (-15)/(-14). Factor -5/2*s**4 + 0 + s**2 - b*s**3 + 0*s.
-s**2*(s + 1)*(5*s - 2)/2
Let b(z) = -9*z - 2. Let l be b(-2). Let -l - 16*v**2 - 11*v - 14*v**3 + 14 - v**5 - 6*v**4 + 2*v = 0. What is v?
-2, -1
Let p be (-12)/(-42)*(-14)/(-8). Let -p*s**2 + 0 + 0*s = 0. Calculate s.
0
Let n(a) be the third derivative of -1/150*a**5 - 1/30*a**4 + 0*a - 2*a**2 - 1/15*a**3 + 0. Factor n(b).
-2*(b + 1)**2/5
Let d = -6 - -9. Solve -3*h**3 - 13*h**2 - 3*h**3 + 5*h**2 - 2*h**d - 2*h**4 = 0 for h.
-2, 0
Let w(d) be the third derivative of 1/90*d**6 - 1/18*d**4 - 3*d**2 + 0 - 1/315*d**7 + 0*d + 1/90*d**5 + 0*d**3. Factor w(z).
-2*z*(z - 2)*(z - 1)*(z + 1)/3
Let m be 1/3 - 1/(-3). Factor -2/3*z**5 + 4/3*z**3 - m - 2/3*z**4 + 4/3*z**2 - 2/3*z.
-2*(z - 1)**2*(z + 1)**3/3
Let h = 20 + -15. Let g(d) be the second derivative of 0*d**3 + 1/30*d**h + d + 1/90*d**6 + 1/36*d**4 + 0 + 0*d**2. Let g(i) = 0. Calculate i.
-1, 0
Factor -8*n**2 - 9*n**3 - 175*n - 2 + 166*n - 6*n**2 - 2*n**4.
-(n + 1)**2*(n + 2)*(2*n + 1)
Let k(g) be the third derivative of 1/168*g**8 + 3*g**2 + 0 + 0*g**6 + 0*g**5 + 0*g**4 - 1/315*g**7 + 0*g + 0*g**3. Let k(y) = 0. Calculate y.
0, 1/3
Let g = 568/843 + -2/281. Determine w so that -8/3*w**2 + g - 2*w = 0.
-1, 1/4
Let j(h) = -2*h - 13. Let u be j(-8). What is z in z**5 + 6*z**2 + 4*z - u*z**5 - 6*z**4 - 6*z**4 + 6*z**4 - 2*z**3 = 0?
-2, -1, 0, 1
Let y(q) be the first derivative of q**2 + 0*q**5 + 2 - 1/12*q**4 + 1/60*q**6 + 0*q**3 + 0*q. Let v(d) be the second derivative of y(d). Factor v(u).
2*u*(u - 1)*(u + 1)
Let i(n) be the third derivative of -n**6/120 + 2*n**5/15 - 7*n**4/24 - 4*n**2 + 1. Factor i(g).
-g*(g - 7)*(g - 1)
Let i(w) be the first derivative of -2*w**3/27 + 4*w**2/3 - 8*w + 36. Factor i(b).
-2*(b - 6)**2/9
Factor -5/2*a**3 + 15/2*a**2 + 5/2 - 15/2*a.
-5*(a - 1)**3/2
Let w(r) be the second derivative of r**5/80 - r**4/48 - r**3/24 + r**2/8 - 2*r. Let w(l) = 0. What is l?
-1, 1
Factor -10*v**4 - 22*v**5 - 10*v**3 - 15*v**4 + 7*v**5.
-5*v**3*(v + 1)*(3*v + 2)
Let b(s) be the first derivative of 2*s**3/9 + 1. What is p in b(p) = 0?
0
Let c(k) be the first derivative of -k**8/11760 - k**7/1470 - k**6/504 - k**5/420 - k**3/3 - 5. Let w(x) be the third derivative of c(x). Factor w(r).
-r*(r + 1)**2*(r + 2)/7
Let z(j) be the first derivative of j**4 + 8*j**3/3 + 2*j**2 - 13. Factor z(q).
4*q*(q + 1)**2
Determine o so that -1/4*o**2 - 1/4*o + 0 = 0.
-1, 0
Suppose -r = -0*w - 3*w + 29, r = -5. Let x(m) = -m**2 + 10*m - 8. Let l be x(w). Factor d**2 + 2*d + l*d**3 - d**2 - 10*d**3.
-2*d*(d - 1)*(d + 1)
Let a be (0*5/(-30))/1. Factor -1/5*i**2 + a*i + 1/5.
-(i - 1)*(i + 1)/5
Let t(i) = -i**5 - 4*i**4 + 2*i**3 - 5*i**2 - 5*i. Let a(k) = -2*k**5 - 12*k**4 + 6*k**3 - 16*k**2 - 16*k. Let l(h) = 5*a(h) - 16*t(h). Factor l(d).
2*d**3*(d + 1)*(3*d - 1)
Suppose x = 2*x + 4. Let n be -1 - (-3 - x)*-1. Factor -2/5*j + n - 2/5*j**2.
-2*j*(j + 1)/5
Let q = 228 + -225. Factor 0 + 7/5*x**q + 4/5*x - 16/5*x**2.
x*(x - 2)*(7*x - 2)/5
Let v = 0 - -3. Let i = -499/4 - -125. Find l such that -1/4*l**v - 1/2 + 1/2*l**2 + i*l = 0.
-1, 1, 2
Determine i, given that 8/11*i**4 - 2/11*i**3 - 2/11*i**5 - 20/11*i**2 + 16/11 + 8/11*i = 0.
-1, 2
Let c(v) = -v**2 + 1. Let w(n) be the second derivative of -7*n**4/4 + 21*n**2/2 - 2*n. Let f(a) = -18*c(a) + w(a). Factor f(p).
-3*(p - 1)*(p + 1)
Let a = 16 - 11. Let h(y) = -7*y**2 + 10*y - 6. Let u(z) = -z**3 - 13*z**2 + 19*z - 13. Let p(c) = a*h(c) - 2*u(c). Factor p(f).
(f - 2)**2*(2*f - 1)
Suppose -2/13*o**2 + 4/13*o - 2/13 = 0. What is o?
1
Solve -4/17*x**2 + 6/17*x - 2/17*x**5 - 2/17 - 4/17*x**3 + 6/17*x**4 = 0 for x.
-1, 1
Let c be (36/(-42))/(77/(-49)). Let 6/11*r**3 - c*r**2 + 2/11*r + 0 - 2/11*r**4 = 0. Calculate r.
0, 1
Suppose 2*x - 7*x - 2*x = 0. Let 3/2*c**3 - 3/2*c + 0*c**2 + x = 0. Calculate c.
-1, 0, 1
Factor 3 + 3*g**3 - 6*g**2 + 0*g - 3*g + 5 - 2.
3*(g - 2)*(g - 1)*(g + 1)
Let k(c) be the first derivative of 4*c**5/5 + c**4 - 40*c**3 + 152*c**2 - 224*c - 44. Factor k(l).
4*(l - 2)**3*(l + 7)
Let o be (5 + 8/8)/2. Let 1/6*f**o + 1/6*f + 1/3*f**2 + 0 = 0. What is f?
-1, 0
Suppose 156 = -3*z + 3. Let r = z - -205/4. Factor 1/4 + 1/2*t + r*t**2.
(t + 1)**2/4
Factor -10*n**2 + 13*n**2 - 7*n**2 - 26*n + 10*n.
-4*n*(n + 4)
Let s(c) be the first derivative of c**5/5 + c**4/4 - c**3/3 - c**2/2 - 8. Determine j, given that s(j) = 0.
-1, 0, 1
Let c(i) = 3*i + 2. Let b be c(-2). Let o be ((-3)/10)/(1/b). Solve -1/5 - 1/5*g**4 - o*g**2 - 4/5*g**3 - 4/5*g = 0 for g.
-1
Suppose -2*b = -l, -2*l - 3*l + 5*b + 10 = 0. Factor -d - 6*d**3 + l*d**4 + 5 + 4*d**2 - 5 - 9*d**5 + 8*d**5.
-d*(d - 1)**4
Let p(y) = -y**2 + 6*y - 4. Let g be p(4). Suppose -4*h = -g*b - 8, -3*b + 14 = -5*b + 4*h. Factor b*s**5 + s**4 + 0*s - 4*s**5 - 2*s**2 + 1 + 2*s**3 - s.
-(s - 1)**3*(s + 1)**2
Let l(g) be the first der