2 = 0.
-2, 0
Let v be -7*2*(-6)/21. Factor 0*c**5 - 10*c**4 + 16*c**2 - 2 - 4*c**3 - 4*c + 3*c**5 + 5*c**5 - v*c**4.
2*(c - 1)**3*(c + 1)*(4*c + 1)
Let f = -7 + 16. Let s = f - 4. What is a in 0*a**4 + 1/2*a**s - 1/2*a**3 + 0 + 0*a + 0*a**2 = 0?
-1, 0, 1
Suppose 0*c + 0 + 0*c**2 - 4/11*c**3 + 2/11*c**4 = 0. What is c?
0, 2
Suppose -3 = 2*f + 5. Let h = f - -6. Let u(o) = 7*o**3 - 7*o**2 + 5*o. Let g(a) = 3*a**3 - 3*a**2 + 2*a. Let n(c) = h*u(c) - 5*g(c). Factor n(j).
-j**2*(j - 1)
Let v(q) = q**4 - q**3 + 5. Suppose 4*a + 48 = -0*a. Let g(i) = -2*i**4 + 2*i**3 - 12. Let z(h) = a*v(h) - 5*g(h). Factor z(t).
-2*t**3*(t - 1)
Let d(y) be the second derivative of y**7/63 + y**6/45 - y**5/30 - y**4/18 - 2*y. Factor d(o).
2*o**2*(o - 1)*(o + 1)**2/3
Let z(j) be the second derivative of j**6/35 - 3*j**5/35 - j**4/14 + 2*j**3/7 + 10*j. Solve z(h) = 0.
-1, 0, 1, 2
Let l(f) = 2*f**4 + 26*f**3 + 92*f**2 + 122*f + 48. Let b(t) = 6*t**4 + 79*t**3 + 276*t**2 + 367*t + 143. Let w(r) = 4*b(r) - 14*l(r). Factor w(h).
-4*(h + 1)**2*(h + 5)**2
Let w = 1542/5 - 308. Find z, given that -1/5*z - 1/5*z**3 + 0 - w*z**2 = 0.
-1, 0
Let r(m) = -m - 10. Let j be r(-11). Suppose y - 20 = -4*y. Factor 4*x**2 + y + x**4 + j - 3*x**4 - 7.
-2*(x - 1)**2*(x + 1)**2
Let j(r) = r - 13. Let u be j(15). Let z(i) be the third derivative of 0*i + 1/60*i**5 + 1/12*i**4 + 0 - i**u + 1/6*i**3. Factor z(q).
(q + 1)**2
Let n(g) = g**2 + 1. Let p(s) = 12*s**2 - 44*s + 252. Let m(w) = 20*n(w) - 2*p(w). Factor m(y).
-4*(y - 11)**2
Let x = -11/36 + 35/36. Let i be 0*((-2)/(-4) + 0). Factor -2/3*r + i + x*r**2.
2*r*(r - 1)/3
Let i = 20 - 10. Determine u so that u**4 - 8*u**3 + 8*u**2 + 2 + u**4 - 8*u - 6*u**2 + i*u**2 = 0.
1
Let c(m) = m**3 + 3*m**2 + 4*m + 4. Let q be c(-2). Factor 5*k**3 + q*k**3 - 4*k**2 - 2*k**3 + 7*k**3.
2*k**2*(5*k - 2)
Let l(g) be the first derivative of g**6/2 - 3*g**5/5 - 3*g**4/2 + 2*g**3 + 3*g**2/2 - 3*g - 7. Factor l(k).
3*(k - 1)**3*(k + 1)**2
Let l(n) be the second derivative of -n**4/42 + 21*n. Find x, given that l(x) = 0.
0
Let h(v) be the third derivative of 0 + 1/24*v**4 + 2*v**2 + 2/15*v**6 - 2/35*v**7 + 0*v**3 + 0*v - 7/60*v**5. Factor h(f).
-f*(2*f - 1)**2*(3*f - 1)
Let b = 704/5 - 138. Let t = 2153/605 + 5/121. Factor 0 - t*n**2 - 4/5*n - b*n**3.
-2*n*(n + 1)*(7*n + 2)/5
What is n in 0 - 2/7*n**2 - 22/7*n**3 + 0*n = 0?
-1/11, 0
Let i be (-2)/(-5) + (-88)/(-55). Factor -1/4*f**i + 1/2*f + 0.
-f*(f - 2)/4
Let s(x) be the second derivative of -x**4/12 - 4*x**3/3 - 8*x**2 + 4*x. Suppose s(i) = 0. Calculate i.
-4
Let i(n) be the first derivative of -n**4 - 4*n**3 + 18*n**2 - 20*n - 34. Factor i(w).
-4*(w - 1)**2*(w + 5)
Factor -1/12*q + 1/12*q**3 + 1/4*q**2 - 1/4.
(q - 1)*(q + 1)*(q + 3)/12
Find k, given that 2*k**4 - 144*k**3 + 2*k**4 + 2*k + 8*k**2 + 154*k**3 = 0.
-1, -1/2, 0
Let k(n) = -2*n**4 - 10*n**3 + 6*n**2 + 7*n - 7. Let f(i) = i**5 - 3*i**4 - 9*i**3 + 7*i**2 + 6*i - 6. Let c(w) = -3*f(w) + 2*k(w). What is g in c(g) = 0?
-1, 2/3, 1, 2
Let x(u) = 3*u**2 + 2*u - 1. Suppose -q = -5*j - 0*q + 7, -4*q = -2*j + 10. Let o be x(j). Factor 2*r**o + 4*r + 2*r**3 - 2*r**2 + 2*r - 5*r - 3*r.
2*r*(r - 1)*(r + 1)**2
Let h(o) = o**2 - o + 1. Let q be h(0). Let y(j) be the first derivative of 1/12*j**3 - 1/8*j**2 + q - 1/2*j. Factor y(g).
(g - 2)*(g + 1)/4
Let z(b) = -b**3 - 4*b**2 - 4*b - 1. Let f(l) = l**3 + l**3 + 1 - 3*l**2 + 6*l**2 - l**3 + 3*l. Let s(x) = 5*f(x) + 4*z(x). Let s(m) = 0. Calculate m.
-1, 1
Let n = -514 + 1051/2. Let v = 303/26 - n. Factor 0 + 0*y + 2/13*y**3 - v*y**5 + 2/13*y**2 - 2/13*y**4.
-2*y**2*(y - 1)*(y + 1)**2/13
Let b be 2/6 + (-4)/(-60). Factor b*x + 2/5*x**5 + 4/5*x**2 - 2/5 - 4/5*x**3 - 2/5*x**4.
2*(x - 1)**3*(x + 1)**2/5
Suppose 25 = -5*h - 0, -20 = -3*c + 4*h. Suppose 5*p = -c*p + 15. Suppose 2*m**2 - 4*m - 2*m**3 - p + 6*m + 1 = 0. What is m?
-1, 1
Let d(h) = h**2 + 1. Let g(k) = -4*k**3 + 8*k**2 + 8*k + 4. Let a(r) = 4*d(r) - g(r). Find f, given that a(f) = 0.
-1, 0, 2
Let b(y) = y**3 - 8*y**2 + 9*y - 8. Let m be b(7). Let p(v) = -v**2 + 5*v + 8. Let d be p(m). Suppose 4*k - 5*k - k - d*k - 2*k**2 = 0. Calculate k.
-2, 0
Let s be (-2254)/3960 + 6 + -3. Let m = s - -3/220. Find o, given that -4/9 + 34/9*o**3 - 14/3*o**2 + m*o - 10/9*o**4 = 0.
2/5, 1
Let a be (4/5)/((-14)/35). Let r be (-1 + 1)/(-1 - a). Factor -2*t**3 + r - 4/7*t**2 + 0*t.
-2*t**2*(7*t + 2)/7
Let u be -6*(192/(-27) + 6). Find n, given that -8*n**2 + 4*n - 2/3 + u*n**3 - 2*n**4 = 0.
1/3, 1
Factor -1/6*f**2 - 1 - 5/6*f.
-(f + 2)*(f + 3)/6
Let d(r) be the first derivative of r**5/2 + 7*r**4/8 - r**3/2 - 7*r**2/4 - r + 5. Determine w, given that d(w) = 0.
-1, -2/5, 1
Let v be ((-6)/9)/((-14)/(-147)). Let t(j) = -j - 4. Let i be t(v). Find g such that -1/2*g**i - g + 3/2*g**2 + 0 = 0.
0, 1, 2
Let 0*i**4 + 1/3*i**5 + i + 2/3*i**2 - 2/3 - 4/3*i**3 = 0. What is i?
-2, -1, 1
Let x(i) = i**2 - i - 1. Let c be (10/(-15))/(4/6). Let r(y) = -5*y**2 - 3*y. Let k(f) = c*r(f) - 2*x(f). Factor k(h).
(h + 1)*(3*h + 2)
What is l in 28/5*l + 44/5*l**3 - 8/5 + 16*l**2 = 0?
-1, 2/11
Let v be (-2 - -2)*(-3)/(-3). Let i = 2 - v. Factor 0 - 1/3*m + 1/3*m**i.
m*(m - 1)/3
Let n(h) = 9*h**3 + 12*h**2 + 33*h + 6. Let f(l) = -17*l**3 - 25*l**2 - 65*l - 11. Let t(w) = 6*f(w) + 11*n(w). Determine j so that t(j) = 0.
-3, 0
Find w, given that -24*w - 18*w**3 + 15*w**2 + 3*w**4 + 27*w**2 - 6*w**2 = 0.
0, 2
Let y(m) = 7*m**5 + 13*m**4 + 19*m**3 - 3*m - 3. Let c(r) = -20*r**5 - 40*r**4 - 56*r**3 + 8*r + 8. Let h(v) = 3*c(v) + 8*y(v). Factor h(x).
-4*x**3*(x + 2)**2
Suppose z = 2*z, 0 = -a + z + 3. Suppose -a*l = m + 13, -4*l = 2*m + m + 14. Let 2*d + d**2 - 2*d**2 - d**m = 0. What is d?
0, 1
Let x = -1474 + 5981/4. Let c = x + -21. Factor c*i**5 + 0*i + 0*i**2 - 1/2*i**4 + 1/4*i**3 + 0.
i**3*(i - 1)**2/4
Let q(z) be the second derivative of 0 - 2*z - 1/2*z**2 + 1/24*z**4 + 1/12*z**3. Factor q(j).
(j - 1)*(j + 2)/2
Let v be 6/((90/(-4))/(-3)). Let z(u) = 3*u + 44. Let p be z(-14). Determine l so that -2/5 + v*l + 0*l**p - 4/5*l**3 + 2/5*l**4 = 0.
-1, 1
Let c = -12 + 22. Let x(u) = -13*u**2 + c*u + 9 - 5*u**3 - 16 + 15*u**3. Let o(r) = 3*r**3 - 4*r**2 + 3*r - 2. Let t(k) = 7*o(k) - 2*x(k). Factor t(z).
z*(z - 1)**2
Factor -3/2*f**3 - 13/4*f**2 - 1/4*f**4 - 3*f - 1.
-(f + 1)**2*(f + 2)**2/4
Let w(a) be the second derivative of -3/20*a**5 - 1/28*a**7 + 3/4*a**3 + 0 + 3/4*a**2 + 1/4*a**4 - 3/20*a**6 - 3*a. Factor w(b).
-3*(b - 1)*(b + 1)**4/2
Let o = 24 - 22. Suppose 0 = -o*x + 4. Factor 0*u**x - 1/4*u**5 + 0*u + 0*u**3 - 1/4*u**4 + 0.
-u**4*(u + 1)/4
Let a(w) = -155*w**4 + 225*w**3 - 155*w**2. Let t(g) = -11*g**4 + 16*g**3 - 11*g**2. Let x(b) = 6*a(b) - 85*t(b). Factor x(f).
5*f**2*(f - 1)**2
Suppose 0 = -4*b + 18 - 6. Factor 5*w**4 - w**2 + 3*w**5 - w + 1 + 2*w**3 - 5*w**2 - 4*w**b.
(w - 1)*(w + 1)**3*(3*w - 1)
Let 84 - 486*g**3 - 32 - 200*g + 756*g**2 - 1458*g**4 - 36 = 0. Calculate g.
-1, 2/9
Solve -5*q**2 + 10*q**3 - 10*q - 11*q**2 + 11*q**2 + 5 = 0.
-1, 1/2, 1
Factor -4/21 + 2/21*i + 2/21*i**2.
2*(i - 1)*(i + 2)/21
Let k(m) be the second derivative of 0 + 0*m**3 - 2*m + 1/108*m**4 + m**2 + 1/270*m**5. Let p(u) be the first derivative of k(u). Determine h so that p(h) = 0.
-1, 0
Let l be 3 + 4/((-480)/358). Let y = 47/60 + l. Factor -2/5*f**3 - y*f**2 + 0 - 2/5*f.
-2*f*(f + 1)**2/5
Let u(c) be the second derivative of -c**7/273 - c**6/65 + 3*c**5/65 + 5*c**4/39 - 7*c**3/13 + 9*c**2/13 - 18*c. Solve u(m) = 0 for m.
-3, 1
Let f(y) be the first derivative of -y**6/18 + y**4/6 - y**2/6 + 3. Determine w so that f(w) = 0.
-1, 0, 1
Let v(h) be the first derivative of 0*h**2 + 1/20*h**6 + 0*h**3 + 0*h**4 + 2*h + 2 - 3/40*h**5. Let u(n) be the first derivative of v(n). Factor u(j).
3*j**3*(j - 1)/2
Suppose -b + 2*q + 5 = 0, -8 = -2*b - q + 3*q. Find l, given that 0 + l**2 - 1/2*l - 1/2*l**b = 0.
0, 1
Let d be 2 + 18/(-5) + (-4)/(-2). Determine o, given that 8/5*o + 6/5*o**2 - 4/5*o**3 - d*o**4 - 8/5 = 0.
-2, 1
Let t(a) be the second derivative of -a**5/90 + 2*a**4/27 - a**3/9 + 10*a. Factor t(u).
-2*u*(u - 3)*(u - 1)/9
Factor 0*c**3 - 1/3*c**2 + 1/3*c**4 + 1/6*c**5 - 1/6*c + 0.
c*(c - 1)*(c + 1)**3/6
Let u = 146 + -146. Let n(s) be the first derivative of -4/25*s**5 + u*s**4 + 4/15*s**3 + 1/15*s**6 - 1/5*