that m(g) = 0.
0, 1, 2
Let z(h) = -h. Let m be z(-5). Let 8 + 62*g**m - 160*g**5 + 238*g**4 + 3*g**2 - 49*g**2 + 32*g - 134*g**3 = 0. What is g?
-2/7, 1
Let h(y) = y**3 + 5*y**2 - y - 1. Let l be h(-5). Let u(b) be the second derivative of -1/5*b**2 + 0 + 1/30*b**l - 2*b - 1/50*b**5 + 1/15*b**3. Factor u(z).
-2*(z - 1)**2*(z + 1)/5
Let l(y) = -y + 11. Let v be l(0). Factor -24*s - v + 0*s**2 + 47 + 4*s**2.
4*(s - 3)**2
Suppose 5*y = -2*n - 1, 4*n + y = 2*n + 3. Suppose n*t - 4 = -2*w, 2*w - t = -2*t + 2. Factor 0*h + 0 + 0*h**2 + 2/7*h**4 + 2/7*h**5 + w*h**3.
2*h**4*(h + 1)/7
Let w = -5674/9 - -628. Let g = w - -28/9. Let -8/3*p**4 + 0 + g*p**3 + 0*p**2 + 0*p = 0. What is p?
0, 1/4
Let q be 1/((-1)/4) - -6. Suppose -3*g**3 - 1/3*g + 0 - 2*g**q - 4/3*g**4 = 0. What is g?
-1, -1/4, 0
Let b(y) be the third derivative of -y**6/80 + y**4/16 + 3*y**2. Factor b(c).
-3*c*(c - 1)*(c + 1)/2
Let i(p) be the third derivative of -p**8/1848 - 4*p**7/1155 - p**6/165 + p**5/165 + 5*p**4/132 + 2*p**3/33 + 15*p**2. Solve i(j) = 0.
-2, -1, 1
Let z(v) be the second derivative of -v**6/180 + v**5/45 + v**4/36 - 2*v**3/9 + 3*v**2/2 - v. Let q(f) be the first derivative of z(f). Factor q(g).
-2*(g - 2)*(g - 1)*(g + 1)/3
Let i(h) be the first derivative of -1/2*h**4 + h**2 + 2/5*h**5 - 2/3*h**3 + 2 + 0*h. Factor i(v).
2*v*(v - 1)**2*(v + 1)
Let v be (-126)/30 + 1 + 2. Let k = v + 52/35. Factor 0 + 4/7*c**2 + 2/7*c + k*c**3.
2*c*(c + 1)**2/7
Suppose 4 + 2 = 2*d. Factor s**d - 17*s**2 + 16*s**2 - 2*s**3.
-s**2*(s + 1)
Factor 0*x + 2/3*x**2 + 2/3*x**3 + 0.
2*x**2*(x + 1)/3
Let c(q) be the first derivative of -q**2 + 0*q + 1/12*q**4 + 3 + 1/6*q**3 + 1/60*q**5. Let h(t) be the second derivative of c(t). Suppose h(r) = 0. What is r?
-1
Suppose -19*o + 2 = -18*o. Factor 1/3*k**5 - 1/3*k**o - 1/3*k**3 + 1/3*k**4 + 0*k + 0.
k**2*(k - 1)*(k + 1)**2/3
Let f(r) be the second derivative of -r**6/1080 + r**5/360 + r**3/2 + 3*r. Let k(u) be the second derivative of f(u). Suppose k(q) = 0. What is q?
0, 1
Factor -16/5 + 8/5*g - 1/5*g**2.
-(g - 4)**2/5
Let j(t) be the third derivative of -t**9/7560 + t**8/1680 - t**4/12 + 5*t**2. Let p(i) be the second derivative of j(i). Find s such that p(s) = 0.
0, 2
Let u(a) be the third derivative of a**7/6300 + a**6/225 + 4*a**5/75 + a**4/6 - 7*a**2. Let c(j) be the second derivative of u(j). Determine p so that c(p) = 0.
-4
Let m(c) = -5*c**3 - 12*c**2 - 13*c. Let d(k) = 5*k**3 + 11*k**2 + 14*k. Let q(r) = -3*d(r) - 4*m(r). Find g such that q(g) = 0.
-2, -1, 0
Let s(k) be the first derivative of k**5 + 2*k**2 + 16/3*k**3 + 17/4*k**4 - 3 + 0*k. Solve s(c) = 0 for c.
-2, -1, -2/5, 0
Let q(h) = h**2 + 2*h - 3. Let t be q(-5). Let b = t - 12. What is c in 1/4*c**2 + b*c - 1/4 = 0?
-1, 1
Let b = -2 + 5. Suppose 2*x - x - 5 = 0. What is g in 2*g + x*g**3 - 4*g**b + 8*g**2 + 5*g**3 = 0?
-1, -1/3, 0
Let f = 47/1230 + -1/205. Let v(y) be the second derivative of 0 + y + 1/2*y**4 + 1/2*y**2 + f*y**6 + 1/5*y**5 + 2/3*y**3. Factor v(g).
(g + 1)**4
Factor -4/15 + 2/3*b - 2/5*b**2.
-2*(b - 1)*(3*b - 2)/15
Let o = -52 - -52. Let p(d) be the third derivative of 0*d**3 + 0*d**4 - 2/315*d**7 - 1/72*d**8 - d**2 + 0 + 0*d**5 + 0*d + o*d**6. Factor p(z).
-2*z**4*(7*z + 2)/3
Let a(z) be the third derivative of -z**8/1848 - z**7/1155 + z**6/110 - z**5/165 - 5*z**4/132 + z**3/11 + 24*z**2. Find c such that a(c) = 0.
-3, -1, 1
Let m = 475/9324 + -6/259. Let f(l) be the second derivative of 3*l - 1/40*l**5 + 1/180*l**6 + 0 + 1/24*l**4 - m*l**3 + 0*l**2. Let f(c) = 0. Calculate c.
0, 1
Let q(p) = p. Let c be q(-4). Let b = 9 + c. Factor -2*s**3 + b*s**2 - s**2 - 2*s**2.
-2*s**2*(s - 1)
Let t(w) be the third derivative of -w**8/3360 + w**4/12 - 4*w**2. Let i(f) be the second derivative of t(f). Determine b so that i(b) = 0.
0
Let w(x) be the first derivative of 0*x**2 + 0*x - 1/12*x**3 - 1/24*x**6 + 1/20*x**5 - 1 + 1/16*x**4. Factor w(i).
-i**2*(i - 1)**2*(i + 1)/4
Factor 2*k**4 + 0*k - 1/2*k**2 - 3/2*k**3 + 0.
k**2*(k - 1)*(4*k + 1)/2
Factor 5/3*l**2 - 8/3*l - 4/3.
(l - 2)*(5*l + 2)/3
Suppose 4*y + 10 = -3*t, 5*t = 6*t + 4*y - 10. Let d be (-5)/t - (-6)/(-28). Find o, given that -2/7*o**3 - 6/7*o**2 + 4/7*o - d*o**5 + 6/7*o**4 + 0 = 0.
-1, 0, 1, 2
Suppose -3*l = -m + 8 - 25, -2*m = -5*l + 29. Suppose -l*w + 12 = 2. Factor 8/7*n - 2/7*n**w - 8/7.
-2*(n - 2)**2/7
Let m(y) be the first derivative of 3*y**4/4 + y**3 - 3*y**2 + 30. Factor m(p).
3*p*(p - 1)*(p + 2)
Let q be 1/(4/3) - 0. Suppose 4*o + 5*z - 28 = 0, -3*o = 4*z - 20 - 2. Suppose 0 - q*r**3 + r**o - 1/4*r = 0. Calculate r.
0, 1/3, 1
Let u(c) be the second derivative of c**6/1080 + c**5/90 + c**4/18 - c**3/6 - 7*c. Let g(j) be the second derivative of u(j). Let g(v) = 0. Calculate v.
-2
Factor 0 - 4*w**4 - 8/3*w**3 - 4/3*w**5 + 0*w**2 + 0*w.
-4*w**3*(w + 1)*(w + 2)/3
Let t(y) be the third derivative of -y**8/6720 + y**7/1120 - y**6/480 + y**5/480 + y**3/2 - 2*y**2. Let v(x) be the first derivative of t(x). Factor v(h).
-h*(h - 1)**3/4
Let a be 156/52 - 1*3. Suppose -1/3*f**4 + 0*f**3 + 1/3*f**2 + 0*f + a = 0. Calculate f.
-1, 0, 1
Let m(b) = -b**5 - 8*b**4 + 11*b**3 - 10*b**2 + 6*b + 2. Let q(l) = -l**4 - 5*l - l**5 + 1 + l**2 - l**3 + 4*l + 2*l. Let n(x) = m(x) - 2*q(x). Factor n(v).
v*(v - 2)**2*(v - 1)**2
Let v be 2/(-2) - 35/(-10). Let z = 3 - v. Solve -z*g + 1/2*g**3 - 1/2 + 1/2*g**2 = 0.
-1, 1
Let j(c) be the second derivative of -1/3*c**3 - 8*c - 5/6*c**4 + 0 - 1/5*c**6 - 7/10*c**5 + 0*c**2. Determine d so that j(d) = 0.
-1, -1/3, 0
Let u(a) be the first derivative of -a**8/1008 - a**7/126 - a**6/40 - 7*a**5/180 - a**4/36 - 3*a**2 + 2. Let o(w) be the second derivative of u(w). Factor o(k).
-k*(k + 1)**3*(k + 2)/3
Suppose 2 - 5 = -u. Find i, given that -5*i**2 - 6*i**3 - 8*i**2 + 3*i**2 - i - u*i = 0.
-1, -2/3, 0
Let d(u) = 28*u**5 + 12*u**4 + 12*u**3 + 28*u**2 - 24*u + 24. Let s(g) = g**5 + g**2 - g + 1. Let x(a) = -d(a) + 24*s(a). Factor x(y).
-4*y**2*(y + 1)**3
Let t(o) be the first derivative of 0*o + 1/6*o**2 - 5 + 1/3*o**3. Factor t(i).
i*(3*i + 1)/3
Let c = 16 - 6. Suppose 4*j = 5*w + 8, -4*j + 2*w - 2 = -c. Determine t so that 0*t**j + 0 + 4/7*t**5 + 0*t + 0*t**3 + 2/7*t**4 = 0.
-1/2, 0
Let o(j) be the first derivative of -j**4/4 - 11*j**3/9 - 4*j**2/3 + 4*j/3 + 19. What is m in o(m) = 0?
-2, 1/3
Factor -2/7*b**5 + 0*b**2 + 0*b + 0*b**4 + 2/7*b**3 + 0.
-2*b**3*(b - 1)*(b + 1)/7
Let m be ((0/1)/(7 + -9))/1. Let -2/7*r**3 + 0*r**2 + m + 0*r = 0. Calculate r.
0
Find q such that -8/7*q - 8/7 - 2/7*q**2 = 0.
-2
Let u(q) be the second derivative of -q**4/3 - q**3/2 + q**2/2 + 13*q. Determine l, given that u(l) = 0.
-1, 1/4
Factor -6/5*y**2 + 4/5*y + 2/5*y**3 + 0.
2*y*(y - 2)*(y - 1)/5
Suppose 2*h + 5*a = -3*h, 0 = h - a - 6. Let d be h/6*(-2 + 6). Factor 1/2*z**4 + z + 0*z**d - z**3 - 1/2.
(z - 1)**3*(z + 1)/2
Let y = 21 - 21. Factor 0*j**3 - 2/7*j**2 + 2/7*j**4 + y*j + 0.
2*j**2*(j - 1)*(j + 1)/7
Suppose -3*w + 18 = 18. Suppose -2/9*i**4 + 2/3*i**2 + 4/9*i + 0*i**3 + w = 0. Calculate i.
-1, 0, 2
Find k such that 4/5*k**3 + 6/5*k + 9/5*k**2 + 1/5 = 0.
-1, -1/4
Determine h so that -5*h**2 - 3*h**3 - h**4 + 2*h**2 + h**2 = 0.
-2, -1, 0
Suppose -5 + 16*g + 0 + 5 + 12*g**2 + 4 = 0. What is g?
-1, -1/3
Let t = -36 + 36. Let q(d) be the third derivative of 0*d + t*d**3 + 0 + 1/12*d**4 - 1/60*d**5 + d**2. Factor q(c).
-c*(c - 2)
Let w be (-2)/5 + (-28)/5. Let s be (6/(-2))/(99/w). Factor 2/11*n - s*n**2 + 4/11.
-2*(n - 2)*(n + 1)/11
Suppose 2*u = 7*u - 40. Suppose u = 3*l - 2*w, -2*w + 14 = 2*l + w. Find g, given that g**2 + 3*g**l - 5*g - 3*g**5 + 9*g**3 - g - 4*g**2 = 0.
-1, 0, 1, 2
Suppose -5*k - 1 = -5*q + 4, k - 7 = -3*q. Suppose 3*u = w + w + 1, 0 = 2*w + u - 11. Factor -2*m**5 - 5*m - 2 + q*m**4 - w*m**2 + 4*m**4 + 11*m - 4*m**3.
-2*(m - 1)**4*(m + 1)
Suppose -2/3*y**4 + 0*y - 4/3*y**3 + 0 + 1/3*y**5 + 8/3*y**2 = 0. Calculate y.
-2, 0, 2
Let w be 4/(-4) - 5/(-5). Factor 0 + 2/13*v**3 + w*v + 2/13*v**4 - 2/13*v**2 - 2/13*v**5.
-2*v**2*(v - 1)**2*(v + 1)/13
Let a(o) be the third derivative of 1/90*o**5 - 4*o**2 + 0 - 2/9*o**3 - 1/36*o**4 + 0*o. Factor a(y).
2*(y - 2)*(y + 1)/3
Let h(f) = -f**5 - f**2 + f. Let o(l) = 7*l**5 - 4*l**4 - 2*l**3 + 9*l**2 - 5*l. Let p(w) = 5*h(w) + o(w). Solve p(u) = 0 for u