Determine o, given that -2*o**2 - 2 + 2*o - s + 5 = 0.
0, 1
Let q(l) = 2*l**2 - 6*l + 5. Let i be q(3). Let 0 - 6/11*v**3 + 0*v + 4/11*v**2 + 0*v**4 + 2/11*v**i = 0. What is v?
-2, 0, 1
Let q(j) be the second derivative of j**8/840 + j**7/105 + j**6/30 + j**5/15 + j**4/12 + j**3/3 + 3*j. Let t(p) be the second derivative of q(p). Factor t(o).
2*(o + 1)**4
Let w(f) be the third derivative of -f**9/3780 + 3*f**8/2240 - f**7/420 + f**6/720 + f**4/24 - 2*f**2. Let g(t) be the second derivative of w(t). Factor g(k).
-k*(k - 1)**2*(4*k - 1)
Let z(u) be the first derivative of -u**7/56 + 3*u**5/80 - 3*u - 7. Let r(l) be the first derivative of z(l). What is s in r(s) = 0?
-1, 0, 1
Let k(y) = -y**2 - 8*y - 4. Let q be k(-6). Let n = 8 - q. Factor n - 6/5*d + 3/5*d**2.
3*d*(d - 2)/5
Let h(a) be the third derivative of 1/120*a**6 + 0 - 2/105*a**7 + 0*a**5 - 5*a**2 + 0*a + 1/84*a**8 + 0*a**4 + 0*a**3. Suppose h(q) = 0. What is q?
0, 1/2
Let r = 26 + -26. Let k be 3 + r + (-2)/2. Suppose 2/3*z**k + 0*z + 0 - 4/3*z**3 + 2/3*z**4 = 0. What is z?
0, 1
Let b(x) be the third derivative of -x**7/105 + x**6/84 + x**5/105 + x**2. Find g, given that b(g) = 0.
-2/7, 0, 1
Let u(m) be the second derivative of 5*m**4/12 + 10*m**3/3 + 10*m**2 - 8*m. Factor u(o).
5*(o + 2)**2
Let i(a) = -a**2 - a + 3*a + 5*a**2. Let w(z) = -6 + 2*z + 5*z**2 + 6. Let d(u) = 3*i(u) - 4*w(u). Factor d(n).
-2*n*(4*n + 1)
Suppose 0 = 4*q - 16 - 0. Factor q*x**5 - x + x - 3*x**5.
x**5
Let s(c) be the first derivative of c**8/1680 - c**7/840 - c**3/3 - 1. Let f(p) be the third derivative of s(p). Factor f(g).
g**3*(g - 1)
Let v(w) be the second derivative of -3/2*w**2 + 1/3*w**3 - 1/8*w**4 + 1/60*w**5 - 2*w + 0. Let k(x) be the first derivative of v(x). Factor k(t).
(t - 2)*(t - 1)
Let r(z) be the third derivative of 1/270*z**5 - 1/945*z**7 + 1/540*z**6 + 0*z**3 + 3*z**2 + 0*z + 0*z**4 + 0 - 1/1512*z**8. Find a such that r(a) = 0.
-1, 0, 1
Let w be 25/10 - (-2)/(-4). Suppose 3*l + w*l = 10. Suppose -4*u**2 - 2*u**2 - 4*u**l + 2*u + 5*u**2 - u**4 + 4*u**3 = 0. Calculate u.
0, 1, 2
Suppose 41*c - 44*c + 4*p = -20, -5*p - 25 = -3*c. What is a in 0 + 2/3*a**4 + 8/3*a + c*a**2 - 2*a**3 = 0?
-1, 0, 2
Let u(r) be the first derivative of -r**2 + 1/2*r**4 + 0*r**3 - 3 + 0*r. Suppose u(s) = 0. Calculate s.
-1, 0, 1
Solve 3/2*d**3 - 33/2*d**2 + 15*d + 0 = 0 for d.
0, 1, 10
Suppose -2*a - 5*a - 1729 = 0. Let x = a + 2719/11. Let x*u**4 + 0 + 0*u**3 - 2/11*u**2 + 0*u = 0. What is u?
-1, 0, 1
Suppose 2*p - 3 = 1. Solve 0 + 0*v + v**2 + p*v**3 + 5/4*v**4 + 1/4*v**5 = 0.
-2, -1, 0
Find h such that -2/3*h**3 + 0 + 0*h + 4/3*h**4 - 4/3*h**2 + 2/3*h**5 = 0.
-2, -1, 0, 1
Suppose 2*q - 9 = x, -4*q + 0*x + x + 19 = 0. Suppose -q*z - 2*m = 0, 2*m = z + 3*m + 3. Factor -3*t**5 - 2*t**4 + 4*t**3 + 4*t**2 + 2 - z*t + t**5 - 4.
-2*(t - 1)**2*(t + 1)**3
Let s(w) be the first derivative of -w**6/60 - w**5/20 + w**4/24 + w**3/6 + w + 1. Let d(z) be the first derivative of s(z). Suppose d(y) = 0. Calculate y.
-2, -1, 0, 1
Let m = 1/21 + 2/7. Let g(b) be the first derivative of -m*b**3 + 3/2*b**2 + 1 - 2*b. Factor g(y).
-(y - 2)*(y - 1)
Let i be (-12 + -2)/(-2) + -3. What is q in 0*q + 4*q**3 - 4*q**2 - 2*q**5 - 2*q + 2 - 2*q**4 + 4*q**i = 0?
-1, 1
Factor 4*z**3 - 28*z**3 + 5*z**5 - 8*z**5 + 12*z**2 + 15*z**4.
-3*z**2*(z - 2)**2*(z - 1)
Let t(u) be the third derivative of -2*u**7/105 + u**6/20 - u**5/240 - u**4/16 - u**3/24 + 3*u**2. Let t(v) = 0. Calculate v.
-1/4, 1
Let z(w) be the third derivative of 0 + 1/840*w**8 + 0*w**3 + 1/300*w**6 + 0*w + 4*w**2 + 0*w**4 + 0*w**5 - 2/525*w**7. Factor z(q).
2*q**3*(q - 1)**2/5
Factor 24/7*p**2 - 4/7*p**3 - 36/7*p + 0.
-4*p*(p - 3)**2/7
Let c(q) be the third derivative of -q**6/240 - q**5/120 + q**4/24 + 24*q**2. Find o, given that c(o) = 0.
-2, 0, 1
Let t(x) be the first derivative of -2*x**5/35 - x**4/6 + 2*x**3/63 + x**2/3 + 4*x/21 + 26. Solve t(p) = 0.
-2, -1, -1/3, 1
Solve -9/8 - 1/2*o**3 + 1/4*o**2 + 3/2*o - 1/8*o**4 = 0 for o.
-3, 1
Factor -6/5 - 27/5*y**2 - 33/5*y.
-3*(y + 1)*(9*y + 2)/5
Let v(r) be the second derivative of -4*r**7/21 + 2*r**6/3 - 3*r**5/5 - r**4/3 + 2*r**3/3 + 3*r. Let v(w) = 0. Calculate w.
-1/2, 0, 1
Let x(c) be the second derivative of c**5/20 - c**4/12 - c**3/3 - 11*c. Factor x(h).
h*(h - 2)*(h + 1)
Let w = -20 - -22. Find h, given that -2/3*h**2 + 0*h + 2*h**3 + 2/3*h**5 - w*h**4 + 0 = 0.
0, 1
Let v = 57/5 - 503/45. Factor 0*s + 4/9*s**2 + v*s**3 + 0.
2*s**2*(s + 2)/9
Let d = -2123/12 + 177. Let y(t) be the third derivative of 3/20*t**5 + 0*t**3 + 1/40*t**6 - 2/105*t**7 + d*t**4 + 0*t + 3*t**2 + 0. Factor y(k).
-k*(k - 2)*(k + 1)*(4*k + 1)
Let w(i) = -20*i - 19. Let h be w(7). Let s be (h/(-7))/1 - -3. Solve -250/7*j**5 - 104/7*j**2 + 16/7*j + 0 + 50/7*j**4 + s*j**3 = 0.
-1, 0, 2/5
Let -3/2*l**2 - 3/2 - 3*l = 0. Calculate l.
-1
Let p = -1151/48 - -24. Let c(w) be the third derivative of w**2 + 0*w - p*w**4 - 1/240*w**6 + 0 + 0*w**3 + 1/60*w**5. Find i such that c(i) = 0.
0, 1
Suppose -f - 2 = -4. Let -2/3*r + 4/3 - 2/3*r**f = 0. What is r?
-2, 1
Let y(t) be the second derivative of -t**7/105 - t**6/30 + t**4/6 + t**3/3 - t**2 - 3*t. Let n(j) be the first derivative of y(j). Factor n(k).
-2*(k - 1)*(k + 1)**3
Let l(s) be the first derivative of s**4/14 + 2*s**3 + 21*s**2 + 98*s - 21. Let l(b) = 0. Calculate b.
-7
Let u(x) be the second derivative of -2*x**6/15 + 4*x**4/3 + 7*x. Solve u(s) = 0 for s.
-2, 0, 2
Let f(u) be the first derivative of -2/15*u**3 - 1/10*u**4 + 2/25*u**5 + 1 + 1/5*u**2 + 0*u. Factor f(p).
2*p*(p - 1)**2*(p + 1)/5
Let m(i) be the third derivative of -i**7/2100 + i**6/900 + i**5/150 - 2*i**3/3 + 3*i**2. Let y(x) be the first derivative of m(x). Factor y(b).
-2*b*(b - 2)*(b + 1)/5
Let i(u) = -u + 8. Let f be i(6). Suppose f*x = -2*x + 8. What is s in s**2 - 8*s**3 - s**2 + 2*s**x = 0?
0, 1/4
Let y(q) be the second derivative of q**7/840 - q**6/240 - q**4/12 + q. Let n(m) be the third derivative of y(m). Factor n(g).
3*g*(g - 1)
Suppose -l + 6 = -8. Let j = -12 + l. Find g such that 2/7*g**j - 4/7 + 2/7*g = 0.
-2, 1
Let i = 5 + 29. Let d be (9 - 13) + i/8. Find w, given that 0 + 0*w**2 - 1/4*w**3 + d*w = 0.
-1, 0, 1
Let a be 3 - (3 - (-24)/(-3)). Let o = -6 + a. Find p, given that -p**o + 2 + 0*p - 3 - p + 3*p = 0.
1
Let q(l) = -l + 3. Suppose 2*i = -3*i. Let h be q(i). Suppose -1/2*k**4 + 1/2*k**2 + 0 + 0*k**h + 0*k = 0. Calculate k.
-1, 0, 1
Let m(w) = w**2 - 13*w + 22. Let x be m(11). Factor x + 2/11*l**3 + 2/11*l**2 - 4/11*l.
2*l*(l - 1)*(l + 2)/11
Let i be 80/35 + 4/(-14). Factor s**4 + s**3 - 3*s**3 + i*s + 2 + 0 - 3.
(s - 1)**3*(s + 1)
Let l = 18 + -13. Let j(f) = -f**3 - 12*f**2 - 2*f - 21. Let h be j(-12). Factor 2*y**3 + y**5 + y**3 - l*y**3 + 4*y**5 - h*y**4.
y**3*(y - 1)*(5*y + 2)
Let q(s) = -s**2 - 3*s + 5. Let d be q(-4). Determine x so that -2*x**4 + 10*x + d - 1 - 2 - 12*x**2 - 2*x + 8*x**3 = 0.
1
Suppose -v = -0*v - 2. Find y such that -2*y**4 + 0*y**5 + y - y**5 + 0*y**5 + y**v + y**2 = 0.
-1, 0, 1
Let w(x) be the second derivative of -x**7/126 + x**6/90 + x**5/60 - x**4/36 - 20*x. Suppose w(c) = 0. What is c?
-1, 0, 1
Let y(u) = -u**5 - u**4 - 9*u**3 - 4*u**2 + 2*u. Let b(s) = s**5 + 2*s**4 + 8*s**3 + 4*s**2 - s. Let k(m) = -3*b(m) - 2*y(m). What is p in k(p) = 0?
-1, 0
Factor 77*y**2 - 72 - 36*y**2 + 24*y - 43*y**2.
-2*(y - 6)**2
Let i be 18/(-12) + 1 + 1. Let r be (56/12)/(8/6) + -2. Factor -1 + r*o - i*o**2.
-(o - 2)*(o - 1)/2
Let t be (-4)/(-18) - 490/(-63). Let x be (-1 - 0)*(-24)/t. Suppose -1/3*v + 1/3*v**x + 1/3*v**2 - 1/3*v**4 + 0 = 0. Calculate v.
-1, 0, 1
Let o(h) be the second derivative of h + 0*h**2 + 0*h**3 + 1/8*h**4 + 0. Factor o(x).
3*x**2/2
Let m(x) be the third derivative of -x**7/315 - x**6/180 - x**5/240 - x**4/8 - 4*x**2. Let f(y) be the second derivative of m(y). Factor f(p).
-(4*p + 1)**2/2
Let k(v) = 4*v**3 + 12*v**2 - 12*v - 12. Let h(a) = a**3 + 4*a**2 - 4*a - 4. Let b(j) = 8*h(j) - 3*k(j). Suppose b(q) = 0. Calculate q.
-1, 1
Let s be (-3)/(24/14)*90/(-315). What is x in -x**4 - 1 - x**3 + 1/2*x**5 + s*x + 2*x**2 = 0?
-1, 1, 2
Solve 2*x**5 - 24*x - 2*x**3 + 47*x**2 - 8 + 9*x**4 - 69*x**2 - 3*x**4 = 0 for x.
-2, -1, 2
Suppose -5*i - 14 = -2*x, 3*x - 4*x = -i - 4. Let r be (-62)/(-31) 