 j = h + -1. Find a such that 10/7*a + 8/7*a**2 + 2/7*a**j + 4/7 = 0.
-2, -1
Suppose 4/7*b**2 + 0 + 76/7*b = 0. Calculate b.
-19, 0
Let j be (-3)/(-6) + (-13)/(-6). Let 0 + 8/3*m**2 - j*m**3 + 0*m + 2/3*m**4 = 0. Calculate m.
0, 2
Let k be 3 + 0 - (2 + -1). Let b = 175 - 1215/7. Solve 2*a**3 + 6/7*a**4 + 2/7*a + b*a**k + 0 = 0 for a.
-1, -1/3, 0
Let o(s) be the third derivative of 0*s + 1/20*s**5 + 8*s**2 + 13/192*s**4 + 1/24*s**3 + 1/420*s**7 + 0 + 17/960*s**6. Find c, given that o(c) = 0.
-2, -1, -1/4
Solve -1 + 1 - 5*y**2 + 960*y - 945*y = 0.
0, 3
Let p(d) be the third derivative of 0 + 0*d**4 + 1/30*d**5 - 2*d**2 - 1/3*d**3 + 0*d. Factor p(q).
2*(q - 1)*(q + 1)
Factor 50/11 - 20/11*s + 2/11*s**2.
2*(s - 5)**2/11
Let l = -954/13 - -19197/260. Let w = -1/20 + l. Factor 2/5*h + 4/5*h**2 - 4/5 - w*h**3.
-2*(h - 2)*(h - 1)*(h + 1)/5
Factor -4/9*t**2 + 4/9 - 2/9*t**3 + 2/9*t.
-2*(t - 1)*(t + 1)*(t + 2)/9
Let o(d) be the third derivative of 0*d**3 + 3*d**2 + 0 + 0*d - 1/15*d**5 + 0*d**4. Factor o(r).
-4*r**2
Let g be 39/13*62/6. Suppose 3*y - g + 12 = -4*m, 0 = 2*m - 5*y - 3. Factor 0*p**2 + 0*p**m + 0 + 0*p + 0*p**3 + 2/5*p**5.
2*p**5/5
Let j(m) be the second derivative of 8/15*m**4 - 2*m + 0 + 8/15*m**3 + 1/5*m**2. Suppose j(h) = 0. Calculate h.
-1/4
Let v = -2 + -4. Let k be 22/(-8) + v + 9. Factor 1/4 - 1/2*l**2 + k*l.
-(l - 1)*(2*l + 1)/4
Let k(j) = -j**3 - 3*j**2 - 2*j - 3. Let u(z) = -z**3 - 2*z**2 - z - 2. Let s(h) = 2*k(h) - 3*u(h). What is w in s(w) = 0?
-1, 0, 1
Let t(y) be the first derivative of -34/3*y**3 + 4*y - 3*y**2 - 6*y**4 + 2. Factor t(b).
-2*(b + 1)*(3*b + 2)*(4*b - 1)
Suppose 2/7*w**4 + 22/7*w**3 - 8/7 + 6/7*w**2 - 16/7*w - 6/7*w**5 = 0. Calculate w.
-1, -2/3, 1, 2
Let f(u) be the second derivative of -u**5/150 - u**4/15 - 4*u**3/15 + 3*u**2/2 + 3*u. Let h(k) be the first derivative of f(k). Factor h(x).
-2*(x + 2)**2/5
Let a(b) be the first derivative of b**6/240 - b**5/60 - b**4/48 + b**3/6 + 3*b**2/2 + 4. Let u(d) be the second derivative of a(d). Factor u(v).
(v - 2)*(v - 1)*(v + 1)/2
Let f(q) be the third derivative of -5*q**8/784 - 11*q**7/245 - 33*q**6/280 - q**5/7 - q**4/14 + 5*q**2. Find l, given that f(l) = 0.
-2, -1, -2/5, 0
Let u be -3*-5*(-6)/375*-5. Suppose 3/5*j**5 - u + 12/5*j**2 - 6/5*j**3 - 6/5*j**4 + 3/5*j = 0. Calculate j.
-1, 1, 2
Let g(d) be the second derivative of d**6/135 - d**5/30 + d**4/54 + d**3/9 - 2*d**2/9 - 24*d. Factor g(b).
2*(b - 2)*(b - 1)**2*(b + 1)/9
Let x = -45 - -50. Let g(v) be the third derivative of 0*v**3 + 0*v**x + 0*v - 1/240*v**6 - 1/42*v**8 + 0*v**4 + 2/105*v**7 + 0 + 2*v**2. Factor g(n).
-n**3*(4*n - 1)**2/2
Let m be (-40)/(-42) - 2/3. Solve -m*o**2 + 2/7 - 2/7*o + 2/7*o**3 = 0.
-1, 1
Let o(v) = 17*v**3 + 47*v**2 + 77*v + 25. Let r(f) = -9*f**3 - 24*f**2 - 39*f - 12. Let u(t) = -6*o(t) - 11*r(t). Determine p so that u(p) = 0.
-3, -2, -1
Let s = 9 + -1. Let l(d) = 6*d**2 - 12*d + 14. Let v(g) = -4*g**2 + 8*g - 9. Let h(a) = s*v(a) + 5*l(a). Suppose h(w) = 0. What is w?
1
Suppose -12 = -5*w - 2*x + 3*x, 3*w = -5*x - 4. Determine m so that -18*m + 2*m**w + 28*m + 0*m**2 - 16*m = 0.
0, 3
Let l(y) be the second derivative of -5*y**4/12 + 35*y**3/6 + 20*y**2 + 27*y. Find n such that l(n) = 0.
-1, 8
Suppose 5*x - 4 - 16 = 0. Determine b so that -6*b**x + 2*b**2 + b**3 + 11*b**4 - 7*b**4 - b = 0.
-1, 0, 1/2, 1
Let u = -664 - -664. Factor u + 1/2*h**2 + 1/2*h.
h*(h + 1)/2
Let c be (-156)/24 + 2*-1. Let q = c - -9. Suppose 1/2*z**3 + 0 + 0*z + q*z**2 = 0. What is z?
-1, 0
Let i(w) be the second derivative of -w**5/80 - w**4/16 + 3*w**3/8 - w**2/2 - 4*w. Let s(x) be the first derivative of i(x). Factor s(n).
-3*(n - 1)*(n + 3)/4
Let j(r) be the first derivative of -r**4/14 - 10*r**3/21 + 13*r**2/7 - 2*r - 18. Factor j(v).
-2*(v - 1)**2*(v + 7)/7
Suppose 4*b = -3*q + 4, -5*q + 5*b - 5 + 0 = 0. Suppose 3*c + 15 = q, 0*z - 15 = z + 3*c. Factor z*i**2 + 1 + 3/2*i - 1/2*i**3.
-(i - 2)*(i + 1)**2/2
Let f(g) = -g**3 - 2*g**2 - 17*g - 4. Let b(v) = -v**2 - 2*v - 1. Let u(n) = 30*b(n) - 5*f(n). Factor u(t).
5*(t - 2)*(t - 1)**2
Let t = -168 + 508/3. Factor t*u + 2/3*u**2 + 2/3.
2*(u + 1)**2/3
Factor o**2 - 2*o**3 + 3*o**4 - o**5 + 2*o**2 - 6*o**2 + 2*o + o**3.
-o*(o - 2)*(o - 1)**2*(o + 1)
Let a(w) = 5*w**3 + w**2 + w - 1. Let l be a(1). Let j = l - 4. Solve -5*h - 3 + 2*h + 4 + 1 + h**j = 0.
1, 2
Let k(d) = d**2 - 7*d + 6. Let u be k(6). Suppose u*f = f. Factor -j**2 + j**3 + 2*j**2 + j**3 - j + f*j**3.
j*(j + 1)*(2*j - 1)
Let t(b) = -b**2 + 8*b - 5. Suppose 0 = 2*q + 7*o - 3*o + 6, -3*q + 5*o + 46 = 0. Let m be t(q). Find g such that -3*g + g + 2*g**m - 2 + g**3 + g**3 = 0.
-1, 1
Find h such that 0 + 0*h + 5/6*h**3 + 0*h**2 + 5/6*h**4 = 0.
-1, 0
Suppose -5*x - 4*s - 6 = -19, -2*s = x - 5. Let k(v) = 3*v**3 - 2*v**2 + 2*v - 1. Let t be k(x). Solve 26/5*h**t + 8/5*h + 2*h**3 - 8/5 = 0 for h.
-2, -1, 2/5
Let a(i) = i**2 - 3*i + 3. Let f be a(3). Solve -k + f*k**5 + 2*k**3 + k**5 - 5*k**5 + 0*k**3 = 0 for k.
-1, 0, 1
Let h(n) be the first derivative of -n**6/420 - n**5/210 + n**4/42 + 3*n**2/2 - 2. Let z(s) be the second derivative of h(s). Factor z(a).
-2*a*(a - 1)*(a + 2)/7
Find x, given that 0*x + 4/3*x**3 - 4/3*x**2 + 0 = 0.
0, 1
Let v(r) be the third derivative of -r**7/1680 + r**6/120 - r**5/20 + r**4/6 + r**3/6 - 5*r**2. Let y(o) be the first derivative of v(o). What is d in y(d) = 0?
2
Let j(w) be the second derivative of -w**4/4 + 5*w**3/2 - 6*w**2 - 12*w. Let j(n) = 0. What is n?
1, 4
Let d(g) = 7*g**2 + 8*g + 6 - g**2 - 2*g**2. Let w(a) = -5*a**2 - 9*a - 7. Let p(s) = -3*d(s) - 2*w(s). Let p(i) = 0. What is i?
-2, -1
Let m(u) be the third derivative of u**5/60 - u**4/24 - u**3/3 + u**2. Let h(s) = s + 1. Let w be (1/3)/(1/3). Let r(t) = w*h(t) + m(t). Solve r(l) = 0 for l.
-1, 1
Let v(n) be the first derivative of -n**7/84 - n**6/40 + n**4/48 - 5*n + 1. Let d(u) be the first derivative of v(u). Let d(f) = 0. Calculate f.
-1, 0, 1/2
Solve -3*l**2 + l + 5*l**4 - l**4 + 0*l**2 + 0*l**2 = 0 for l.
-1, 0, 1/2
Let c be -4*1/(-16) - 0. Let n(z) be the third derivative of 0 - 1/30*z**5 - c*z**4 + 0*z - 2/3*z**3 - 2*z**2. Solve n(q) = 0 for q.
-2, -1
Let l(u) = 12*u**2 + 89*u + 110. Let w(o) = 2*o**2 + 18*o + 22. Let y(f) = -4*l(f) + 22*w(f). Factor y(a).
-4*(a - 11)*(a + 1)
Let x(c) be the second derivative of c**4/12 - c**3 - 3*c + 1. Factor x(n).
n*(n - 6)
Let v be 4 - (0 - 3366/(-21)). Let m = -156 - v. Find j such that -6/7*j**4 - 2/7*j**3 + 0 + m*j + 6/7*j**2 = 0.
-1, -1/3, 0, 1
Let p(t) be the first derivative of 5*t**4/2 + 15*t**3 - 25*t**2/2 - 27. Factor p(l).
5*l*(l + 5)*(2*l - 1)
Let y(k) be the first derivative of k**5/20 + k**4/8 - k**3/12 - k**2/4 + 6. Factor y(h).
h*(h - 1)*(h + 1)*(h + 2)/4
Suppose 0 = 8*b - 6*b + 28. Let q be 4/b + (-86)/(-56). Factor -1/2 + q*k + 7/4*k**2.
(k + 1)*(7*k - 2)/4
Let p(s) = -s**3 - 7*s**2 + 7*s - 3. Let i be p(-8). Suppose i = -v - 2*w, 3*v - w - 3*w = 35. Factor 2*o**4 + o**v + 0 + 5/4*o**3 + 0*o + 1/4*o**2.
o**2*(o + 1)*(2*o + 1)**2/4
Let y(q) be the second derivative of 2*q**6/3 + 5*q**5/4 + 5*q**4/12 - 20*q. Factor y(g).
5*g**2*(g + 1)*(4*g + 1)
Factor 0*f**3 - 1/8*f**5 + 0 + 0*f**2 + 1/8*f**4 + 0*f.
-f**4*(f - 1)/8
Let h(o) = 8*o - 13. Let r be h(2). Let -1/5*k + 0 + 1/5*k**r + 3/5*k**4 - 3/5*k**2 = 0. What is k?
-1, -1/3, 0, 1
Let v(x) = x + 6. Let z be v(-4). Let n(u) be the first derivative of -2 - 3*u**2 - 1/2*u**4 + 2*u + z*u**3. Find b such that n(b) = 0.
1
Suppose 5*c - 3*k + 12 = -138, 60 = -2*c - 2*k. Let b = c + 30. Let -6/7*x**3 + b - 2/7*x**2 + 0*x = 0. What is x?
-1/3, 0
Suppose -i = 3*i - 12. Determine p so that -10*p + 9*p**3 + 4*p + 6*p**4 + p**5 - 4*p**5 + i*p**2 - 9*p**4 = 0.
-2, -1, 0, 1
Let v(h) be the third derivative of h**7/945 + h**6/135 + 2*h**5/135 + 53*h**2. Factor v(g).
2*g**2*(g + 2)**2/9
Determine a, given that 3 + 4*a**3 + 7 - 4 + 2 - 12*a = 0.
-2, 1
Let f(r) = r**4 + r**3 + r**2 - 1. Let v = -4 + 3. Let h(y) = -4814*y**4 - 5500*y**3 - 2364*y**2 - 448*y - 20. Let o(t) = v*h(t) - 12*f(t). Solve o(i) = 0.
-2/7
Let f = -39 + 39. Suppose 0*u + 0*u**2 + 2/9*u**3 + f + 2/9*u**4 = 0. What is u?
-1, 0
Let v(u) = 0*u**2 - 3*u**2 - u - 4*u**3 + 3*u**3 + 5 - u**3. Let l(r) = -2*r**3 - 2*r**2 + 4. Let n(f) = -5*l(f) + 4*