 in 2 - 2*o**2 - 6*o - 3 - 3 + v = 0?
-2, -1
Let k be (0 + 1)/(3 + (-48)/18). Factor 2*t**k + 0*t - 2/3*t**4 - 4/3*t**2 + 0.
-2*t**2*(t - 2)*(t - 1)/3
Let p(m) be the second derivative of 1/147*m**7 - 2*m + 1/70*m**5 + 0*m**3 - 2/105*m**6 + 0*m**4 + 0 + 0*m**2. Factor p(a).
2*a**3*(a - 1)**2/7
Let a(h) be the second derivative of -h**4/66 - h**3/33 + 7*h. Find j, given that a(j) = 0.
-1, 0
Let o(a) be the second derivative of a**6/105 + a**5/35 - 2*a**3/21 - a**2/7 + a. Factor o(z).
2*(z - 1)*(z + 1)**3/7
Find j such that 1/2*j**3 + 0*j + 0*j**2 + 0 - 1/2*j**4 = 0.
0, 1
Let y be (35/(-21) - 2) + 4. Solve -1/3*v**2 + 2/3*v - y*v**3 + 0 = 0.
-2, 0, 1
Let t be ((-12)/(-30))/((-16)/(-15)). Let h = t - -1/8. Factor -1/4 - 1/4*n**2 + h*n.
-(n - 1)**2/4
Let i = 15 - 14. Let l = 1 - i. Determine o, given that 1/4*o**3 + 1/2*o**2 + 1/4*o + l = 0.
-1, 0
Let f(x) be the second derivative of x**6/30 - x**5/5 + x**4/4 + 2*x**3/3 - 2*x**2 - 2*x. Factor f(c).
(c - 2)**2*(c - 1)*(c + 1)
Suppose 0 = x - 16 + 12. Let 8*o**x - 8*o**2 - 6*o**5 + 4*o**3 - 2*o**2 + 2*o**2 + 2*o = 0. What is o?
-1, 0, 1/3, 1
Let k(j) be the first derivative of 5*j**6/6 - 5*j**4 + 10*j**3/3 + 15*j**2/2 - 10*j - 23. Factor k(p).
5*(p - 1)**3*(p + 1)*(p + 2)
Let w(m) be the third derivative of m**5/48 + 55*m**4/48 + 605*m**3/24 - 36*m**2. Solve w(g) = 0 for g.
-11
Let o(z) be the second derivative of -z**7/126 - z**6/135 + z**5/20 - 2*z**3/27 - 16*z. What is j in o(j) = 0?
-2, -2/3, 0, 1
Let o(c) be the first derivative of 3*c**5/5 + 9*c**4/2 - 7*c**3 + 70. Suppose o(b) = 0. What is b?
-7, 0, 1
Suppose i = 6*i - 15. Let o be -2 - i/((-24)/28). Find k such that -o*k - 1 - 1/2*k**2 = 0.
-2, -1
Suppose 0 - 8/3*i**5 + 0*i**2 + 0*i + 14/3*i**4 + 4/3*i**3 = 0. Calculate i.
-1/4, 0, 2
Let u(l) = l**3 + 10*l**2 + l + 14. Let r be u(-10). Suppose -1/4*a**r + 0*a**2 + 0*a**3 + 0*a + 0 = 0. What is a?
0
Determine u, given that 0 + 3/4*u**3 + 1/4*u**5 - 1/4*u**2 - 3/4*u**4 + 0*u = 0.
0, 1
Let o = -68/203 - -18/29. Find a, given that 2/7*a + 0 + o*a**2 = 0.
-1, 0
Let s = 241/1434 - 1/717. Factor -1/2*w + 0 - s*w**2.
-w*(w + 3)/6
Suppose 0*b = -3*b. Suppose -4*g = -b*g. Factor -2/3*s**4 - 2/3 + g*s + 0*s**3 + 4/3*s**2.
-2*(s - 1)**2*(s + 1)**2/3
Suppose -3*j + 2*j = -7. Suppose -4*x + j*x = 0. Let 2/5*u**3 - 1/5*u**4 + 0*u + x - 1/5*u**2 = 0. Calculate u.
0, 1
Let d = -8 + 10. Solve d*z**3 - z + 3*z**2 + z**2 + 3*z = 0.
-1, 0
Let p be 2/7 - 6/21. Let s = 961/4 + -240. Determine n so that 0*n**2 + p*n + 0 + s*n**3 = 0.
0
Let b = 301 - 3911/13. Factor 2/13*h - b*h**3 + 2/13 - 2/13*h**2.
-2*(h - 1)*(h + 1)**2/13
Let t(m) be the second derivative of m**6/150 - m**5/100 - 7*m. Factor t(d).
d**3*(d - 1)/5
Find u such that -4/11*u**4 + 2/11*u**5 + 2/11*u - 4/11*u**3 - 4/11 + 8/11*u**2 = 0.
-1, 1, 2
Let q(y) be the third derivative of -y**11/498960 + y**9/90720 + y**5/15 - 2*y**2. Let h(d) be the third derivative of q(d). Solve h(g) = 0.
-1, 0, 1
Let v be (-20)/5*((-1)/(-10))/(-1). Factor -2/5*o**2 - 4/5*o - v.
-2*(o + 1)**2/5
Suppose -u = 4*x + 2, 0 = x + 2*u + 4 - 0. Let i(w) = w + 2. Let r be i(x). Factor 2*m - 2*m**r - 3*m + m**2.
-m*(m + 1)
Solve -68*z**2 - 16 - 20*z**3 + 25*z - 28*z - 61*z = 0.
-2, -1, -2/5
Find m, given that -4*m**5 + 184*m**4 - 11*m - 8 + 184*m**3 - 9*m + 22*m**2 + 64*m**5 + 26*m**2 = 0.
-1, -2/5, 1/3
Let l be -3 - 5/(-1) - -3. Suppose -l = -2*c + u + 8, -4*c + 17 = u. Let -4 + 2 - c*p**2 + 4*p + 3*p**2 = 0. Calculate p.
1
Let i = 1058 + -1058. Solve 1/2*q**4 + i - 1/2*q**3 + 0*q - q**2 = 0 for q.
-1, 0, 2
Determine a so that 0 + 7/5*a**5 + 0*a - 7/5*a**3 - 2/5*a**4 + 2/5*a**2 = 0.
-1, 0, 2/7, 1
Suppose 24 - 16 + b**2 + 5*b**2 - 12*b - b**3 = 0. What is b?
2
Suppose 0 = -6*v + 16 - 4. Factor -v*g**2 + 17*g - 10*g + 4 - 5*g.
-2*(g - 2)*(g + 1)
Let i(l) be the second derivative of -l**5/20 + l**4/12 + l**3/3 - 3*l**2 - l. Let m(o) = 3*o**3 - o**2 - 5*o + 13. Let x(y) = -5*i(y) - 2*m(y). Factor x(k).
-(k - 1)*(k + 2)**2
Let a(o) be the second derivative of -o**8/1680 + o**7/1050 + o**6/600 - o**5/300 - o**2/2 - 3*o. Let z(n) be the first derivative of a(n). Factor z(t).
-t**2*(t - 1)**2*(t + 1)/5
Suppose -4*d + 5 = w + 1, -68 = 3*w - 4*d. Let f be 10/(-5) - w/5. Factor -2/5*t**2 - 6/5*t**4 + 0 + 2/5*t**5 + f*t**3 + 0*t.
2*t**2*(t - 1)**3/5
Let n(b) be the third derivative of 1/5*b**5 + 0*b + 0*b**3 - 1/40*b**6 + 0 + 2*b**2 - 1/2*b**4. Factor n(h).
-3*h*(h - 2)**2
Let g(k) = -k**4 - k**3 + k. Let r(h) = 7*h**4 - 7*h**3 + 15*h**2 - 13*h + 2. Let n(c) = 4*g(c) + r(c). Factor n(f).
(f - 1)**3*(3*f - 2)
Solve -32/5*h**4 + 2/5*h + 0 + 16/5*h**3 + 14/5*h**2 = 0 for h.
-1/4, 0, 1
Suppose -2*l + 6*l - 12 = 0. Let y = 83/12 + -20/3. Find g, given that -y*g**4 + 1/4*g + 0 + 1/4*g**2 - 1/4*g**l = 0.
-1, 0, 1
Let z(w) be the second derivative of -3*w**6/5 + 69*w**5/20 - 33*w**4/4 + 21*w**3/2 - 15*w**2/2 - 3*w. Suppose z(q) = 0. Calculate q.
5/6, 1
Let b(h) be the second derivative of 0 + 0*h**2 + 0*h**3 - 1/105*h**6 + 1/147*h**7 + 2*h + 1/42*h**4 - 1/70*h**5. Factor b(k).
2*k**2*(k - 1)**2*(k + 1)/7
Let l(r) be the second derivative of -r**6/90 + r**5/15 - 5*r**4/36 + r**3/9 + 43*r. Let l(n) = 0. Calculate n.
0, 1, 2
Let o = -104 + 104. Let f(n) be the third derivative of 0 - 1/24*n**4 + o*n + 0*n**3 - 1/120*n**6 + 3*n**2 - 1/30*n**5. Suppose f(b) = 0. Calculate b.
-1, 0
Factor 8/9 + 2/9*a**2 - 10/9*a.
2*(a - 4)*(a - 1)/9
Let z be (-2)/5*(-5 - (-30)/7). Let d(n) be the first derivative of 1/14*n**4 + 2 + 3/7*n**2 - z*n - 2/7*n**3. Factor d(i).
2*(i - 1)**3/7
Let t be 542/6 + 3/(-9). Suppose 2*i - 12 = -4*m, -4*i - i = -5*m - t. Find q, given that -125*q**4 - 225*q**2 + 114*q - 16 + i*q + 400*q**3 - 135*q**2 = 0.
2/5, 2
Let t(c) = c**2 + c. Let z(h) = -h**4 + 2*h**3 + 9*h**2 + 9*h. Let p(o) = 18*t(o) - 2*z(o). Determine k so that p(k) = 0.
0, 2
Let d(o) = -o**3 - 11*o**2 + 15*o + 12. Let i be d(-12). Let q be i/(-10) + (-1 - 1). Solve 0*x - q*x**2 + 0 - 2/5*x**3 = 0 for x.
-1, 0
Determine a so that 13/5*a**2 + 6/5*a - a**3 + 0 = 0.
-2/5, 0, 3
Let x(r) be the first derivative of -28*r**5/5 + 5*r**4 + 8*r**3/3 + 70. Suppose x(n) = 0. What is n?
-2/7, 0, 1
Let l(m) be the first derivative of 5/18*m**3 - m + 2 + 1/6*m**2 + 1/20*m**5 + 7/36*m**4. Let c(n) be the first derivative of l(n). Factor c(h).
(h + 1)**2*(3*h + 1)/3
Let f(j) be the second derivative of -1/60*j**5 + j + 0 + 1/9*j**4 - 2/9*j**3 + 0*j**2. Factor f(i).
-i*(i - 2)**2/3
Let o(z) be the first derivative of 0*z**3 - z - 2 + 1/18*z**4 + 0*z**2. Let q(g) be the first derivative of o(g). Suppose q(s) = 0. What is s?
0
Let 2/7*p**4 + 8/7*p**5 + 10/7*p**2 + 4/7*p - 24/7*p**3 + 0 = 0. What is p?
-2, -1/4, 0, 1
Let x = -11755/24 + 490. Let b(p) be the third derivative of 0*p - 7/120*p**5 - 4*p**2 + 0 - x*p**4 - 1/3*p**3 - 1/160*p**6. Find r, given that b(r) = 0.
-2, -2/3
Let z(k) = 9*k**2 - 13*k + 4. Let a(y) = 8*y**2 - 12*y + 4. Let j(f) = 5*a(f) - 4*z(f). Factor j(l).
4*(l - 1)**2
Let g(i) = i**4 + i**2 + 1. Suppose -2*j + 3 + 3 = 0. Let t(m) = -7*m**3 - 2*m**2 - m + 3. Let n(p) = j*g(p) - t(p). Factor n(y).
y*(y + 1)**2*(3*y + 1)
Let h(d) = -d**2 + 4*d**2 - d + 0*d**2 - 2*d**2. Let i(l) = -10*l**2 + 16*l + 2. Let b(f) = 12*h(f) + i(f). What is p in b(p) = 0?
-1
Suppose 0 = -3*f - 5*h - 1, -f - h - 1 = -2. Let q be f/(-21)*(-7)/4. Factor -1 + k - q*k**2.
-(k - 2)**2/4
Suppose 17 = 7*w - 32. Let d = 1 - -1. Factor 0*o**2 + o - 2 + 6*o**3 - w*o + 2*o**d.
2*(o - 1)*(o + 1)*(3*o + 1)
Let b(j) = 3*j**3 + j**2 - 1 + 0 + 6*j - j. Let s(k) = 4*k**3 + k**2 + 6*k - 1. Let c(z) = 5*b(z) - 4*s(z). Factor c(n).
-(n - 1)**2*(n + 1)
Let z(x) = 6*x**3 - 3*x**2 + 6*x + 3. Let i(p) = 13*p**3 - 5*p**2 + 13*p + 7. Let f(h) = 3*i(h) - 7*z(h). Find r, given that f(r) = 0.
0, 1
Let u be (6/3606)/((-2)/(-4)). Let p = 2390/4207 + u. Factor 0*o**2 + 0 - p*o**3 - 10/7*o**4 + 0*o.
-2*o**3*(5*o + 2)/7
Let x(b) be the second derivative of 1331*b**6/10 - 6171*b**5/20 + 429*b**4/2 - 70*b**3 + 12*b**2 - 4*b. Solve x(v) = 0 for v.
2/11, 1
Let m(j) be the second derivative of j**9/15120 - j**8/1680 + j**7/504 - j**6/360 - j**4/6 - j. Let t(l) be the third derivative of m(l). Factor t(v).
v*(v - 2)*(v - 1)**2
Let l = -18/41 - -13271/30135. Let z(f) be the third derivative o