n**2 + 32*n**2 - 27*n - 15*n**3 = 0?
2/5, 1
Suppose 4*l + 18 + 38 = 0. Let t(k) = 6*k**2 + 0 + 9*k**3 + 7 - 8*k + 19*k. Let g(f) = 4*f**3 + 3*f**2 + 5*f + 3. Let i(v) = l*g(v) + 6*t(v). Factor i(j).
-2*j*(j + 1)*(j + 2)
Let c(m) = 25*m**4 - 85*m**3 + 72*m**2 - 12*m - 2. Let p(n) = 24*n**4 - 84*n**3 + 72*n**2 - 12*n - 3. Let a(o) = 3*c(o) - 2*p(o). Suppose a(i) = 0. What is i?
0, 2/9, 1, 2
Let t(i) = 4*i**2. Let a be t(-1). Solve -2*m**2 - a*m**4 + m**4 + 1 + 4*m**4 + 0 = 0 for m.
-1, 1
Suppose 5*y = 3*g - 1, 0 = 2*g + 5*y - 2 - 7. Factor -g*m**2 + 16/3*m - 4/3*m**3 + 2/3*m**4 - 8/3.
2*(m - 2)*(m - 1)**2*(m + 2)/3
Let d(p) = 2*p**2 - 4*p - 12. Let v be d(-5). Determine k, given that 80*k - 1 + 10 + v*k**3 + 7 + 12*k**4 + 116*k**2 + 6*k**3 = 0.
-2, -1, -1/3
Solve 1/2 - 5/4*w - 3/4*w**2 = 0 for w.
-2, 1/3
Let n be (-4 + 3 + 0/(-1))*0. Let h be (1/4 - 0)*2. Factor n - 1/2*x**5 + h*x**4 - 1/2*x**2 + 0*x + 1/2*x**3.
-x**2*(x - 1)**2*(x + 1)/2
Let c be 4/2 + -4 - -4. Let i be (c + 1 - 7) + 4. Find b, given that i - 1/4*b**2 - 1/2*b = 0.
-2, 0
Let x(z) be the second derivative of -z**5/10 + z**4/3 - z**3/3 + 13*z. Let x(n) = 0. Calculate n.
0, 1
Let t be 3/15*(-3 - (-4 + -24)). Factor -1/3*j**t + 0*j + 0 + 0*j**2 + 1/3*j**3 + 0*j**4.
-j**3*(j - 1)*(j + 1)/3
Let k(w) be the third derivative of -w**8/110880 - w**7/13860 - w**6/3960 + w**5/15 + 2*w**2. Let q(f) be the third derivative of k(f). Factor q(x).
-2*(x + 1)**2/11
Find m, given that 6/5*m**3 - 2/5 + 2*m**2 + 2/5*m = 0.
-1, 1/3
Solve -35*y**4 - 3*y**5 + 5*y**5 - 122*y**3 - 7*y**5 - 60*y**2 + 42*y**3 = 0.
-3, -2, 0
Let r(s) = s**3 - 12*s**2 - s + 14. Let z be r(12). Suppose 2*a - 5 + 1 = 3*d, z*d - 3*a = -11. Factor -4/7 - 2/7*y + 2/7*y**d.
2*(y - 2)*(y + 1)/7
Suppose 2*b**4 + 38*b + 16 - 14*b**3 + 36*b**2 + 28*b - 106*b = 0. What is b?
1, 2
Suppose 4*b - b = 0. Let t be 35/10*20/15. Determine q, given that 40/3*q**4 - 12*q**3 + b - 2/3*q - 16/3*q**5 + t*q**2 = 0.
0, 1/2, 1
Let o(w) be the third derivative of -w**8/10080 + w**7/1260 - w**6/360 + w**5/20 + 2*w**2. Let g(n) be the third derivative of o(n). Solve g(j) = 0.
1
Let m = 82 - 568/7. Factor 2/7*r**4 + 8/7*r**3 + 4/7*r**2 - m - 8/7*r.
2*(r - 1)*(r + 1)**2*(r + 3)/7
Let z(n) be the second derivative of -n**6/180 - n**5/30 - n**4/12 - n**3/3 - n. Let p(x) be the second derivative of z(x). Factor p(f).
-2*(f + 1)**2
Let m be (-5)/(-2)*2*1. Suppose 0 = -k + m - 0. Find u such that u + 2*u**2 - 6*u**3 + 6*u**4 - 4*u - 2*u**k + 3*u = 0.
0, 1
Let m(k) = 7*k**2 + 5*k - 6. Let r(s) = 15*s**2 + 11*s - 13. Let c(n) = -13*m(n) + 6*r(n). Determine y, given that c(y) = 0.
0, 1
Let n(x) be the second derivative of -x**6/150 + 9*x**5/50 - 27*x**4/20 - 24*x. Solve n(v) = 0.
0, 9
Let d(c) be the first derivative of c**6 - 2 + 0*c**2 - 3*c - 3/2*c**4 - 9/5*c**5 + 4*c**3. Factor d(i).
3*(i - 1)**3*(i + 1)*(2*i + 1)
Let v(m) be the first derivative of -m**4/54 + m**2/9 + 3*m - 6. Let t(f) be the first derivative of v(f). Find x, given that t(x) = 0.
-1, 1
Let o = 18 + -1. Let s(f) = 0*f**2 - f**2 + 4*f**2 - 3*f + 17. Let q(u) = u**2 - u + 6. Let z(v) = o*q(v) - 6*s(v). Factor z(i).
-i*(i - 1)
Let r be (-10)/45 - 130/(-18). Let b = r - 4. Factor 0*p - 1/2*p**4 + 1/2*p**2 + 0*p**b + 0.
-p**2*(p - 1)*(p + 1)/2
Let o(p) be the second derivative of 1/30*p**3 - 1/100*p**5 - 3*p - 1/60*p**4 + 0 + 1/10*p**2. Factor o(h).
-(h - 1)*(h + 1)**2/5
Let m be (681/225 + -3)/((-6)/(-10)). Let a(h) be the first derivative of 0*h**4 - 2/9*h + 0*h**2 - m*h**5 + 1 + 4/27*h**3. Factor a(o).
-2*(o - 1)**2*(o + 1)**2/9
Let r(i) be the third derivative of i**5/80 + i**4/8 + 3*i**3/8 + 2*i**2 + 5*i. Factor r(s).
3*(s + 1)*(s + 3)/4
Let d(s) be the third derivative of 0 + 2*s**2 + 0*s + 1/240*s**5 + 0*s**3 + 0*s**4. Factor d(i).
i**2/4
Suppose 3*j + 3 = -37*u + 36*u, -4 = -2*u - j. Let 2/3*b**2 + 0*b + 1/3*b**u + 0 = 0. Calculate b.
-2, 0
Let n(g) be the third derivative of -g**6/180 - g**5/15 - g**4/4 + 7*g**2 + g. Factor n(i).
-2*i*(i + 3)**2/3
Let i(u) be the first derivative of 3/2*u**2 - 2/3*u - 16/9*u**3 - 2/5*u**5 + 1/18*u**6 + 7/6*u**4 + 4. Factor i(x).
(x - 2)*(x - 1)**4/3
Let j(s) be the third derivative of 3/8*s**4 - 7/60*s**5 + 0 + s**2 + 0*s - 1/3*s**3. Find x such that j(x) = 0.
2/7, 1
Let x(p) = -p**2 - p - 6. Let w be x(0). Let v be (3/2)/((-3)/w). Suppose -3*k - 3/2*k**2 - 1/4*k**v - 2 = 0. What is k?
-2
Suppose -2*m - m = 108. Let s be 13/13*m/(-14). Let -2/7*v**2 - 18/7*v - 4/7 - s*v**4 + 6*v**3 = 0. What is v?
-1/3, 1, 2
Let a = -91 - -61. Let l be 1/5 + (-6)/a. Factor 4/5*u**3 + l*u**4 - 2/5*u - 4/5*u**2 - 2/5*u**5 + 2/5.
-2*(u - 1)**3*(u + 1)**2/5
Factor 15/2*y**2 + 0 + 75/4*y + 3/4*y**3.
3*y*(y + 5)**2/4
Suppose -6*z = -3*z. Let b(m) be the first derivative of 0*m + 1/5*m**5 + z*m**2 - 1/6*m**6 - 1/3*m**3 - 1 + 1/4*m**4. Factor b(v).
-v**2*(v - 1)**2*(v + 1)
Let v = 31 + -92/3. Determine h, given that 0*h**2 + 0 + 0*h - 2/3*h**4 - 1/3*h**5 - v*h**3 = 0.
-1, 0
Let y(r) be the first derivative of -r**8/840 + r**7/140 - r**6/60 + r**5/60 - 4*r**3/3 - 4. Let a(u) be the third derivative of y(u). Factor a(p).
-2*p*(p - 1)**3
Let h(s) = -s**3 - 14*s**2 - 3*s - 42. Let y be h(-14). Let y + 2/7*i**2 - 4/7*i = 0. Calculate i.
0, 2
Let m = 7244/465 + 2/93. Let k(b) be the first derivative of 24*b**2 + 67/2*b**4 - 8*b - 38*b**3 - m*b**5 + 1 + 3*b**6. Let k(g) = 0. Calculate g.
2/3, 1
Let c(w) = 5*w**5 - w**4 + 2*w**3. Suppose -4 = 4*z + 16, -3*q + 3*z + 9 = 0. Let h(l) = 26*l**5 - 4*l**4 + 11*l**3. Let j(p) = q*h(p) + 11*c(p). Factor j(y).
3*y**4*(y - 1)
Let n be (11*12/264)/(1/6). Let 6/7*a + 4/7*a**2 - 2/7*a**4 - 12/7*a**n - 2/7 + 6/7*a**5 = 0. Calculate a.
-1, 1/3, 1
Let v(c) be the first derivative of -c**3/12 - 11*c**2/4 - 121*c/4 + 2. Factor v(n).
-(n + 11)**2/4
Let a(x) be the second derivative of x**7/735 + x**6/210 + x**5/210 - x**2/2 + 5*x. Let l(m) be the first derivative of a(m). What is k in l(k) = 0?
-1, 0
Let i = 232/5 + -8351/180. Let s(v) be the third derivative of 1/18*v**3 - i*v**5 - 1/72*v**4 - v**2 + 0*v + 1/360*v**6 + 0. Determine k so that s(k) = 0.
-1, 1
Factor -5*i**2 + 8*i - 2*i**2 + 13*i**2 - 8*i**2 - 6.
-2*(i - 3)*(i - 1)
Let j(c) be the first derivative of c**7/525 + c**6/150 - c**5/50 - c**4/15 + 4*c**3/15 - 3*c**2/2 - 2. Let l(v) be the second derivative of j(v). Factor l(x).
2*(x - 1)**2*(x + 2)**2/5
Let c = -10 + 16. Factor c*g + g**2 + 9 + 6 - 6.
(g + 3)**2
Suppose -5*f - 44 = 4*s + 1, -5*f + 5*s = 0. Let v be (-24)/(-80)*f/(-2). Determine h, given that 3/4*h**3 - v*h - 3/2*h**2 + 3/2 = 0.
-1, 1, 2
Let a(t) = t**3 + 5*t**2 - t - 5. Let c be a(-5). Suppose -2*h - 3*h + 15 = c. Determine o so that 2*o + h + o**2 - 6 + 4 = 0.
-1
Let r be (-2)/(-3)*3/167. Let u = r - -497/334. What is c in -u*c**4 + c + 0 + 1/2*c**2 - 2*c**3 = 0?
-1, 0, 2/3
Let 0 + 2/9*k - 2/9*k**2 = 0. Calculate k.
0, 1
Let l be 108/45 - (1 - (0 + -1)). Factor 0 - l*o**2 - 2/5*o.
-2*o*(o + 1)/5
Suppose 0 = -5*s - 2 - 8. Let y be 12/55 - s/11. Solve 0 + y*d**4 - 2/5*d - 2/5*d**2 + 2/5*d**3 = 0.
-1, 0, 1
Let b(c) be the first derivative of c**4/2 + 28*c**3/3 + 49*c**2 - 30. Factor b(z).
2*z*(z + 7)**2
Let t be (-44584)/(-60) + 6/10. Let g = 757 - t. Solve 8/3 + 50/3*o**2 + g*o = 0.
-2/5
Let t(v) be the third derivative of -v**5/20 - 3*v**4/4 - 9*v**3/2 - 7*v**2. Factor t(r).
-3*(r + 3)**2
Let w(z) = 2*z - 18. Let v be w(9). Let s be 5*(-3 - (-54)/15). Solve 0 + v*j - 4/3*j**s - 2/3*j**2 - 2/3*j**4 = 0 for j.
-1, 0
Let r(j) be the first derivative of j**4/16 - j**3/3 + 5*j**2/8 - j/2 + 26. Let r(x) = 0. What is x?
1, 2
Solve 4*t**4 - 8*t**4 - 2*t**2 + 9*t**2 - t + 3*t**5 - 3*t**2 - 2*t**3 = 0.
-1, 0, 1/3, 1
Let b(p) be the third derivative of p**7/42 - p**6/24 - p**5/12 + 5*p**4/24 - 3*p**2. Factor b(a).
5*a*(a - 1)**2*(a + 1)
Let f(q) be the second derivative of -8*q + 0 + 4/3*q**7 + 53/3*q**4 - 33/5*q**6 + 8*q**2 + 47/10*q**5 - 20*q**3. Let f(n) = 0. What is n?
-1, 1/4, 2/7, 2
Let s(z) = -z**2 - 7*z + 3. Let d(j) = 6*j - 2. Let m(l) = -3*d(l) - 2*s(l). Factor m(y).
2*y*(y - 2)
Let a(v) = v**2 - v + 1. Let m be (6/(-4))/((-9)/192). Let z = -20 + m. Let y(s) = 14*s**2 - 10*s + 12. Let u(t) = z*a(t) - y(t). Determine f so that u(f) = 0.
-1, 0
Let f(d) be the first derivative of