Let 2 + 2 - 6*o**x + 2*o**3 + 6*o + 18*o**j - 8 = 0. What is o?
-1, 1/3, 2
Let j(k) = -k - 7. Let r be j(-13). Let x be r*(-6)/(-16) + -2. Find n such that 1/4 + 1/2*n + x*n**2 = 0.
-1
Let j(o) be the first derivative of -o**6/15 + 4*o**5/25 - 4*o**3/15 + o**2/5 + 4. Solve j(l) = 0.
-1, 0, 1
What is n in -5/3*n**3 + 2/3*n**2 + 4/3*n**4 + 0 - 1/3*n**5 + 0*n = 0?
0, 1, 2
Let g be ((-3)/2)/(90/(-160)). Let d = g + -23/12. Factor d*a**2 + 1/4*a**3 + 0 + 1/2*a.
a*(a + 1)*(a + 2)/4
Let c(o) be the third derivative of 0 + 0*o**5 + 0*o**3 + 1/360*o**6 - 5*o**2 + 1/630*o**7 + 0*o + 0*o**4. Find q, given that c(q) = 0.
-1, 0
Suppose -2/7*r**2 - 8/7*r + 10/7 = 0. Calculate r.
-5, 1
Let w(s) be the second derivative of -s**7/6720 + s**6/960 + 5*s**3/3 - s. Let k(t) be the second derivative of w(t). Factor k(n).
-n**2*(n - 3)/8
Suppose -5*u = -2*u - 3. Factor -2*a + 3*a**2 + u + 0*a - 2.
(a - 1)*(3*a + 1)
Let o be (-4)/(-6*2/9). Factor -15*v + 0*v**5 + 4*v**5 - 6*v**o - 2*v**3 + 19*v.
4*v*(v - 1)**2*(v + 1)**2
Let j(a) = -21*a**4 + 14*a**3 + 21*a**2 - 6*a. Let w(q) = 64*q**4 - 41*q**3 - 64*q**2 + 19*q. Let d(y) = -11*j(y) - 4*w(y). What is r in d(r) = 0?
-1, 0, 2/5, 1
Let h(b) = -14*b**4 + 11*b**2 + 21*b**4 - 4*b**3 + 3*b + b. Let p(i) = -i**4 - i**2 - i. Let v(k) = -h(k) - 6*p(k). Factor v(m).
-m*(m - 2)*(m - 1)**2
Suppose 0 = 2*p - 0*p - 3*a - 9, 0 = 2*a - 2. Let x(i) be the third derivative of 1/30*i**5 + 0*i - 1/3*i**3 + i**2 + 0 + 1/3*i**4 - 1/15*i**p. Factor x(w).
-2*(w - 1)*(w + 1)*(4*w - 1)
Let l(i) = i**3 + 7*i**2. Let o be l(-7). Let a = 2 - o. Determine n so that -4 - 2*n**a + 4 = 0.
0
Solve -4*k**2 + 3 - 3*k**3 - 3 - k**4 + k**2 - k = 0.
-1, 0
Let d(c) be the third derivative of c**6/120 - c**4/24 + 7*c**2. Solve d(r) = 0 for r.
-1, 0, 1
Let y be (3 - 2)/(2/8). Suppose -2*n = -4*x + 4, -2*x + y*n - 5*n = -6. Factor -x*a - 8/3*a**2 + 2/3.
-2*(a + 1)*(4*a - 1)/3
Let s(t) be the third derivative of t**10/453600 + t**9/181440 - 2*t**5/15 - 2*t**2. Let c(b) be the third derivative of s(b). Factor c(q).
q**3*(q + 1)/3
Let f(b) be the first derivative of b**6/6 - b**5/10 - b**4/8 + 5. Let f(c) = 0. Calculate c.
-1/2, 0, 1
Factor 6*u**5 + 4*u**2 - 5*u**3 + u**3 + 13*u**4 - 2*u**5 - 17*u**4.
4*u**2*(u - 1)**2*(u + 1)
Let h(p) be the third derivative of p**7/70 - p**6/40 - p**5/20 + p**4/8 - 2*p**2. Find z such that h(z) = 0.
-1, 0, 1
Suppose -d + v + 24 = 4*d, 2*d + 3*v - 13 = 0. Suppose w + 3 = -2, -5*w = d*c + 10. Factor i**2 - 1/2*i**4 - 1/2 + 0*i + 0*i**c.
-(i - 1)**2*(i + 1)**2/2
Let f(b) be the third derivative of b**8/168 - b**7/105 - b**6/12 + b**5/30 + 2*b**4/3 + 4*b**3/3 - 14*b**2. Factor f(o).
2*(o - 2)**2*(o + 1)**3
Factor -12*c**2 + 8*c**3 - 20/9*c**4 + 6*c + 0 + 2/9*c**5.
2*c*(c - 3)**3*(c - 1)/9
Suppose -2*w + 4*a + 8 = a, -4*a - 16 = -4*w. Factor -4*f**2 + f**w - 3*f**5 - f + 3*f**4 + 3*f + f**5.
-2*f*(f - 1)**3*(f + 1)
Find n, given that 9/4*n**2 + 0 - 15/4*n**3 - 1/4*n**5 + 0*n + 7/4*n**4 = 0.
0, 1, 3
Find b, given that 8/19 + 10/19*b**2 + 16/19*b + 2/19*b**3 = 0.
-2, -1
Let m(w) be the second derivative of -w**6/90 - w**5/30 + w**4/36 + w**3/9 + 22*w. Determine q, given that m(q) = 0.
-2, -1, 0, 1
Let i be 1 + (-2 + 3)*1. Let z = 9 + -7. Factor -3*l**2 + i*l + 2*l**4 - l**3 + z*l**4 - l**5 - l**4.
-l*(l - 2)*(l - 1)**2*(l + 1)
Let i(p) be the first derivative of -p**3/18 + p**2/3 - p/2 - 5. Let i(a) = 0. Calculate a.
1, 3
Let v(p) be the second derivative of p**5/10 + p**4/3 + 10*p. Factor v(i).
2*i**2*(i + 2)
Let s(x) be the third derivative of -x**7/1680 - x**6/320 - x**5/480 + x**4/64 + x**3/24 + 9*x**2. Factor s(w).
-(w - 1)*(w + 1)**2*(w + 2)/8
Let n(q) be the second derivative of -q**4/18 + 14*q**3/9 - 49*q**2/3 - 29*q. Factor n(h).
-2*(h - 7)**2/3
Let d(a) be the third derivative of -a**8/90720 - a**5/60 + a**2. Let x(b) be the third derivative of d(b). Suppose x(n) = 0. Calculate n.
0
Let a(i) = -2*i + 1. Let s be a(-3). Suppose -b - 3*k = s, -3 + 17 = b - 4*k. Determine d, given that 18*d**b - 24*d**3 + 2*d + 10*d**4 - 8*d + 2*d = 0.
0, 2/5, 1
Let j = 1 - -1. Let q = -5 - -8. Find p such that 0 - 2/3*p + 2/3*p**j + 2/3*p**q - 2/3*p**4 = 0.
-1, 0, 1
Let v be (-118)/(-360) + 6/(-8). Let x = v + 11/9. Factor -x*z + 2/5*z**2 + 2/5.
2*(z - 1)**2/5
Let q = 36125/1407 + -4/469. Let f = -533/21 + q. Factor 0 - 2/7*n**2 - f*n.
-2*n*(n + 1)/7
Suppose -3*o + 4*o = -3*j + 1, 0 = j + 5*o - 5. Factor -4/9*u**3 - 2/9*u**2 + j + 4/9*u + 2/9*u**4.
2*u*(u - 2)*(u - 1)*(u + 1)/9
Let a(x) be the first derivative of -x**4/6 + 2*x**3/3 + x**2/3 - 2*x - 35. Solve a(y) = 0 for y.
-1, 1, 3
Let l(w) be the first derivative of 0*w**4 + 0*w**2 + 1/21*w**7 + 1/10*w**5 - 2/15*w**6 + 3 + 0*w**3 + w. Let u(m) be the first derivative of l(m). Factor u(z).
2*z**3*(z - 1)**2
Let d(r) = r**3 + 6*r**2 + 3*r - 6. Let k be d(-5). Suppose -k*f - 8 = -8*f. Factor l**f + l**3 + 3 - 4 + 0 - l.
(l - 1)*(l + 1)**2
Let t(q) be the first derivative of -2*q**3/3 - 6*q**2 - 18*q + 15. Factor t(s).
-2*(s + 3)**2
Suppose 5*z - 9*z = 0. Let m(h) be the third derivative of -2*h**2 - 1/10*h**4 + 0*h + z + 1/60*h**5 + 2/15*h**3. Find q such that m(q) = 0.
2/5, 2
Let g(y) be the second derivative of y**4/42 - 2*y**3/21 + 4*y. Factor g(a).
2*a*(a - 2)/7
Factor 2*s**2 - 1 - 2*s + s**2 + 5 - 5*s**2.
-2*(s - 1)*(s + 2)
Let b(c) be the first derivative of -4 + 0*c**3 + 0*c + 0*c**2 + 3/4*c**4 + 1/2*c**6 + 6/5*c**5. Let b(f) = 0. What is f?
-1, 0
Let u(k) be the first derivative of -k**4/6 + k**2 - 3*k - 2. Let l(w) be the first derivative of u(w). Let l(h) = 0. Calculate h.
-1, 1
Suppose 0 = 3*w - 2*w - 13. Let v = w + -9. Factor 4/5*m - 4/5*m**3 + 0*m**2 + 2/5*m**v - 2/5.
2*(m - 1)**3*(m + 1)/5
Suppose 0 = -2*g + 3*g - 3. Let z(d) be the first derivative of 3*d**2 + 2*d - 8/3*d**g + 1. Factor z(j).
-2*(j - 1)*(4*j + 1)
Let u be (4/(-5))/(19/((-285)/18)). Let 8/3*q + 2/3*q**2 - u*q**3 - 8/3 = 0. What is q?
-2, 1, 2
Suppose -12/5*r**2 - 6/5 + 3/5*r**3 + 3*r = 0. Calculate r.
1, 2
Let r be 0/(1 - 6/2). Factor 24*o + 13*o**2 + 8 + 2*o**4 + 13*o**2 + r + 12*o**3.
2*(o + 1)**2*(o + 2)**2
Find i, given that -8*i**2 - 1 - 9/2*i - 7*i**3 - 1/2*i**5 - 3*i**4 = 0.
-2, -1
Suppose 0 = -2*t + 3*w + 14, 2*w = 2*t - 3*w - 22. Suppose 0 = 5*y - 11 + t. Factor 3*u**2 + y - 3 - 3*u + 2*u**3 - 3*u**3 + 2.
-(u - 1)**3
Let b(h) = h + 5. Let z be b(-4). Let a be z/2*0/9. Suppose a*w + 2/5 - 2/5*w**2 = 0. Calculate w.
-1, 1
Let i(g) be the first derivative of 4/11*g**2 + 2/11*g**3 + 2/11*g + 4. Let i(v) = 0. What is v?
-1, -1/3
Let z(y) be the first derivative of y**4/12 + 2*y**3 + 18*y**2 + 72*y - 13. Factor z(l).
(l + 6)**3/3
Let j(b) be the third derivative of -b**5/15 - 2*b**4/3 + 21*b**2. Factor j(y).
-4*y*(y + 4)
Suppose 48*x**4 - 48*x**2 + 22*x**5 - 15*x - x - 4*x**3 - 2*x**5 = 0. What is x?
-2, -1, -2/5, 0, 1
Let n = 12 + -8. Let s be 22/8 - 3/(-12). Factor -6*k**2 - 10*k - k**s - 3 + 3*k**3 + 2*k**n - 1.
2*(k - 2)*(k + 1)**3
Suppose 5*d + 6 + 1 = t, -3*d = -t + 3. Let h be 1 + 0 + d/3. Determine q, given that h*q**5 + 1/3*q**2 + 0*q + q**4 + q**3 + 0 = 0.
-1, 0
Let x(p) be the third derivative of -p**5/45 + p**4/18 - 29*p**2. Factor x(b).
-4*b*(b - 1)/3
Suppose -3*j + 31 = 4*u, 2*j - 17 = -3*u + 6*j. Factor -8*i**2 + u*i + 10*i - 6*i**3 + 4 - 7*i.
-2*(i - 1)*(i + 2)*(3*i + 1)
Let d = 6 + -4. Factor -2/7*r**d + 0*r + 2/7.
-2*(r - 1)*(r + 1)/7
Let v(r) be the third derivative of -r**10/132300 - r**9/35280 + r**7/8820 + r**5/20 - 3*r**2. Let x(a) be the third derivative of v(a). Factor x(p).
-4*p*(p + 1)**2*(2*p - 1)/7
Factor 0*j + 1/6*j**2 - 1/6.
(j - 1)*(j + 1)/6
Factor -4*v**3 + 4*v**4 + 6*v - 8*v**2 + 8 - 2*v - 4*v**2.
4*(v - 2)*(v - 1)*(v + 1)**2
Let n(x) be the second derivative of -x**4/4 + 9*x**3/2 + x. Factor n(o).
-3*o*(o - 9)
Suppose 1 + 29 = 5*i. Factor -95 - 3*n**4 - i*n**3 - 3*n**2 + 95.
-3*n**2*(n + 1)**2
Let 2 - 2*s - 3/2*s**2 = 0. What is s?
-2, 2/3
Suppose 44 - 4*q**2 - 9 + 9*q**2 - 50*q + 90 = 0. What is q?
5
Suppose 6*f = f + 240. Let a(v) = -26*v - 12 - 6*v**3 - v - f*v**2 - 33*v. Let k(g) = -g**3 + g**2 + g - 1. Let q(p) = -a(p) - 4*k(p). Factor q(r).
2*(r + 2)**2*(5*r + 2)
Let u(d) = d**2 + d - 1. Let m be u(2). Let f(h) = -5*h + 52. Let p be f(10). Determine k so that 3*k**