+ 8/5*o**2 - 8/5*o**4 + 0*o + 0 = 0. What is o?
-4, -1, 0, 1
Suppose -9*b - 121 = -139. Let u = -37/2 - -19. Find j, given that 0*j**3 + 0*j + 0*j**b - 1/2*j**5 + u*j**4 + 0 = 0.
0, 1
Let b(v) be the first derivative of -3*v**5/140 + 13*v**4/84 - 8*v**3/21 + 2*v**2/7 - 9*v + 10. Let s(h) be the first derivative of b(h). Factor s(y).
-(y - 2)**2*(3*y - 1)/7
Let n(g) be the first derivative of -g**4/2 - 2*g**3/3 - 15. Factor n(l).
-2*l**2*(l + 1)
Let x(t) = 0*t - t + 0*t. Let q be x(-3). Find z such that 0*z**3 - 3*z**3 + 5*z**3 - z**q = 0.
0
Let g(s) = -s**2 + s + 1. Let h(m) = 3*m - 8. Let b be h(3). Let c(z) = 4*z**3 - 30*z**2 + 62*z - 34. Let p(n) = b*c(n) - 2*g(n). Find j, given that p(j) = 0.
1, 3
Let c be (2/(-3))/(2/3) - 5. Let r = 6 + c. Factor 0 + 6/5*d**4 - 4/5*d**3 + r*d - 2/5*d**5 + 0*d**2.
-2*d**3*(d - 2)*(d - 1)/5
Find w such that 12 + 74735*w + 39*w**2 - 2*w**4 - 18*w**3 - 74771*w + 5*w**4 = 0.
1, 2
Suppose -5*s + 4*s + 12 = 0. Factor -5*d**3 - 8*d - 4*d**3 - s*d**2 + 3*d**3 + 2*d**3.
-4*d*(d + 1)*(d + 2)
Suppose -m - 16 = -3*t, t - 2 = -m + 2. Suppose 6 = -3*d + t*d. What is c in -14*c - 7*c**2 - 1 - 9*c**2 + 32*c**d - 1 = 0?
-1/4, 1
Let f = 3546 + -3546. Factor 0 - 6/11*z**3 + 2/11*z**2 + f*z.
-2*z**2*(3*z - 1)/11
Suppose -2*z = k + 130, -k = 4 - 0. Let a = z - -67. What is i in -2*i**2 + 0 - 1/4*i**a - i - 5/4*i**3 = 0?
-2, -1, 0
Let c(t) be the second derivative of 0 - 9*t - 5/66*t**4 - 2/11*t**2 + 7/33*t**3. Factor c(u).
-2*(u - 1)*(5*u - 2)/11
Suppose 6*k - 4*k + 19*k**2 - 18*k**2 - 5*k = 0. Calculate k.
0, 3
Let x = 9 - 4. Factor 2 - 4*p**2 + p**3 - 3 - 1 + x*p + 0*p**3.
(p - 2)*(p - 1)**2
Let i(n) be the third derivative of n**6/60 + 7*n**5/30 + 11*n**4/12 + 5*n**3/3 + 4*n**2 + 15*n. Factor i(u).
2*(u + 1)**2*(u + 5)
Let m(v) be the first derivative of -v**4/18 + 31*v**2/9 + 20*v/3 + 594. Factor m(n).
-2*(n - 6)*(n + 1)*(n + 5)/9
Let b = -60 - -481/8. Let o(k) = -k**2 - 9*k - 18. Let c be o(-4). Factor -1/8*d + b*d**c + 0.
d*(d - 1)/8
Let t(b) = 0*b**4 + 4*b**3 + 16*b**3 - 19*b**2 - b**4. Let q(r) = -r**4 + 10*r**3 - 9*r**2. Let f(l) = -9*q(l) + 4*t(l). Solve f(p) = 0.
0, 1
Let n(f) = -f**2 - 3*f - 5. Let x(y) = 3. Let k(s) = -n(s) - 3*x(s). Solve k(g) = 0 for g.
-4, 1
Let c(v) be the third derivative of 0*v**3 - 1/150*v**6 + 0 + 0*v**4 + 0*v**5 - 1/1050*v**7 + 0*v + 21*v**2. Find q, given that c(q) = 0.
-4, 0
Let n(t) be the first derivative of 2*t**5/5 - 2*t**4 - 4*t**3/3 + 12*t**2 + 18*t - 59. Determine h so that n(h) = 0.
-1, 3
Let u(h) be the first derivative of -h**6/840 + 3*h**5/280 - h**4/28 + 4*h**3/3 + 1. Let r(i) be the third derivative of u(i). Suppose r(d) = 0. What is d?
1, 2
Let x = 209125/78 - 2681. Let c = x + 1/13. Solve -1/6*j**2 + 1/6*j**3 - c*j + 1/6 = 0 for j.
-1, 1
Let a be 2256/208 - ((-8)/26)/2. Suppose 0 = -5*p - a*x + 6*x - 5, 4*x = 4*p - 4. Let 6/7*i + p + 9/7*i**2 = 0. Calculate i.
-2/3, 0
Let u(c) = -c**3 - 48*c**2 + 46*c - 147. Let k be u(-49). Let h(x) be the second derivative of 0 + 2/3*x**3 + 7*x + k*x**2 + 1/3*x**4. Let h(b) = 0. What is b?
-1, 0
Let l = 3 - -25. Let z be 64/l + 4/(-14). Solve 6*d + d - d - 4*d**z - 11*d**2 = 0 for d.
0, 2/5
Let h = 26393/94 - -222/47. Let s = -283 + h. Factor 0 + 0*x - 1/2*x**4 - 3/2*x**2 - 1/2*x**5 + s*x**3.
-x**2*(x - 1)**2*(x + 3)/2
Suppose -220 = -3*q + 482. Factor -6*v + v**2 - 2*v**2 - q + 234.
-v*(v + 6)
Let n(l) be the third derivative of 31*l**2 + 0*l - 1/16*l**4 - 1/14*l**8 + 0 + 17/80*l**6 + 0*l**3 + 0*l**7 + 0*l**5. Determine c so that n(c) = 0.
-1, -1/4, 0, 1/4, 1
Let z(q) be the first derivative of q**6/2 + 36*q**5/5 - 39*q**4/4 + 388. Factor z(g).
3*g**3*(g - 1)*(g + 13)
What is g in 2/11*g**3 - 28/11*g**2 - 40/11*g + 2/11*g**5 - 16/11 + 8/11*g**4 = 0?
-2, -1, 2
Let f(a) = -19*a**3 + 104*a**2 - 5*a - 112. Let d(j) = 7*j**3 - 35*j**2 + 2*j + 38. Let v(t) = -8*d(t) - 3*f(t). Factor v(k).
(k - 32)*(k - 1)*(k + 1)
Let n be (18/(-6))/(-8 - (2 - 3)). Let d(f) be the first derivative of 4/7*f - 1 + 0*f**3 + n*f**2 - 1/14*f**4. Suppose d(x) = 0. What is x?
-1, 2
Let y(r) be the third derivative of r**5/60 + r**4/3 - 3*r**3/2 + 6*r**2. Factor y(z).
(z - 1)*(z + 9)
Let j(i) be the second derivative of i**8/2184 - i**7/1365 - i**6/780 + i**5/390 - 17*i**2/2 + 6*i. Let x(u) be the first derivative of j(u). Factor x(c).
2*c**2*(c - 1)**2*(c + 1)/13
Let l(g) be the second derivative of -4*g**6/5 - 7*g**5/5 - g**4/3 + 9*g. Determine a so that l(a) = 0.
-1, -1/6, 0
Let q(v) be the third derivative of 0*v - v**2 - 1/30*v**5 - 1/60*v**6 + 1/12*v**4 + 0 + 1/3*v**3. Factor q(z).
-2*(z - 1)*(z + 1)**2
Let l be -5*4 - 73428/(-3165). Suppose 4/5*w**3 - l*w - 6/5*w**2 + 2/5*w**4 - 8/5 = 0. Calculate w.
-2, -1, 2
Let s(p) be the third derivative of p**7/2520 - p**5/120 - p**4/2 - 4*p**2. Let a(l) be the second derivative of s(l). Factor a(j).
(j - 1)*(j + 1)
Let q(c) be the first derivative of 2 - 4*c + 2/3*c**3 - c**2. Suppose q(j) = 0. Calculate j.
-1, 2
Let c = -33 + 37. Factor 3*b**2 - c*b**2 - b**3 - b**2 - 4*b**5 - b**5 + 8*b**4.
-b**2*(b - 1)**2*(5*b + 2)
Let d(z) be the third derivative of z**6/1140 - 11*z**5/570 + 13*z**4/114 - 16*z**3/57 - 539*z**2. What is v in d(v) = 0?
1, 2, 8
Suppose 5*a = 4*w - 18, -10 - 10 = -5*w + 5*a. Factor -15 - 21 + 42*n + w*n**2 + 4*n**4 - 2*n**4 - 10*n**3.
2*(n - 3)**2*(n - 1)*(n + 2)
Factor 0*t**3 + 3/2*t**5 - 3*t**2 + 0 + 3*t**4 - 3/2*t.
3*t*(t - 1)*(t + 1)**3/2
Let u(w) = 4*w**3 + 6*w**2 - 8. Let j(s) = s**3. Suppose 0*d + 3*b - 12 = -3*d, -3*b = d. Let o(g) = d*j(g) - u(g). Determine k so that o(k) = 0.
-1, 2
Let n = -694 - -13883/20. Let j(c) be the second derivative of n*c**5 + 0*c**2 - 1/8*c**3 + 3/16*c**4 + 0 + c. Factor j(k).
3*k*(k + 1)*(4*k - 1)/4
Let -12*f**3 + 3*f**3 - 3*f - 71*f**2 + 3*f**3 + 18 + 59*f**2 + 3*f**3 = 0. What is f?
-3, -2, 1
Suppose 3*g - 2*v - 18 = 0, 5*v + 0*v = -3*g - 3. Factor -16 - 4*c**3 + 2 + g*c**2 + 8*c**2 - 2.
-4*(c - 2)**2*(c + 1)
Suppose -3*u + 92952 = 6*u. Factor -1400*k**3 + 120*k**4 - 8243*k - 4*k**5 + 4445*k**2 + 19208 - 2009*k - u*k + 3395*k**2.
-4*(k - 7)**4*(k - 2)
Let g be (19/5 - 4)/((-30)/25). Let r(v) be the first derivative of 0*v**2 + 0*v - g*v**3 + 3 + 1/16*v**4 + 1/20*v**5. Find o, given that r(o) = 0.
-2, 0, 1
Let g(x) be the first derivative of -5*x**4 + 25*x**3 - 30*x**2 - 20*x + 212. Let g(m) = 0. What is m?
-1/4, 2
Let v(u) be the third derivative of -1/12*u**4 + 0 - 1/240*u**6 + 0*u**3 + 0*u + 29*u**2 - 1/24*u**5. Factor v(p).
-p*(p + 1)*(p + 4)/2
Let n(t) = t**3 + 5*t**2 - 8. Let m be n(-3). Let v be 77/(-245) - (-6)/m. Suppose -10/7*y**2 - v*y**3 - 16/7*y - 8/7 = 0. Calculate y.
-2, -1
Let l(k) be the first derivative of k**8/840 + k**7/525 - k**6/300 - k**5/150 + 21*k**2/2 - 23. Let j(y) be the second derivative of l(y). Factor j(d).
2*d**2*(d - 1)*(d + 1)**2/5
Let f(m) = 7*m**4 - 3*m**3 + 5*m**2 - 3*m - 6. Let j(p) = -5*p**4 + 3*p**3 - 4*p**2 + 2*p + 4. Let x(d) = -2*f(d) - 3*j(d). Factor x(i).
i**2*(i - 2)*(i - 1)
Let i(k) = -2*k**2 - 2*k + 4. Let l = -31 - -27. Let f(h) = h**3 + 7*h**2 + 8*h - 16. Let w(d) = l*f(d) - 18*i(d). Factor w(p).
-4*(p - 2)*(p - 1)*(p + 1)
Suppose 2*u - 5 = -b, -3*u + 4*b = -u. Factor -16*c**3 + 7*c**3 + 3*c**5 + 0*c**5 + 6*c**u.
3*c**2*(c - 1)**2*(c + 2)
Let x = -1944 + 1944. Let c(m) be the third derivative of -2/15*m**6 + 0 - 1/15*m**5 - 6*m**2 - 2/35*m**7 + 0*m + 0*m**3 + x*m**4. Determine k so that c(k) = 0.
-1, -1/3, 0
Let m(x) be the third derivative of -3*x**10/280 - x**9/105 - x**8/420 - x**4/3 + 15*x**2. Let n(a) be the second derivative of m(a). Solve n(j) = 0.
-2/9, 0
Let g(s) be the third derivative of 0*s**3 - 1/120*s**6 + 0*s - 1/45*s**5 + 1/18*s**4 + 1/1008*s**8 + 6*s**2 + 0 + 1/315*s**7. Factor g(w).
w*(w - 1)**2*(w + 2)**2/3
Suppose -4*u - 7*h = -2*h - 51, 5*h + 101 = 4*u. Factor 3*p**5 + 10*p**4 - 37*p**2 + 6*p**3 - p**5 + u*p**2.
2*p**2*(p - 1)*(p + 3)**2
Let f = 3/2 - -3/10. Let k = 91/45 - f. Find y such that -2/9*y**5 - 4/9*y**2 + 2/9 + 4/9*y**3 - 2/9*y + k*y**4 = 0.
-1, 1
Let h(g) be the third derivative of 0*g**3 + 0*g + 0 + 1/6*g**5 + 5/336*g**8 - 1/24*g**6 - 1/21*g**7 - 6*g**2 + 0*g**4. Factor h(v).
5*v**2*(v - 2)*(v - 1)*(v + 1)
Let v(g) = 5*g - 3*g**3 - 4*g**5 - 2*g**5 - 10*g**4 - 4*g**5 - 2*g**3. 