7 - (-229)/3893. Factor 0*z**2 - z**t - z**4 + 0 - 1/4*z**o + 0*z.
-z**3*(2*z + 1)**2/4
Let c(z) be the second derivative of 0 - 5/8*z**4 - 3/2*z**2 + 2*z - 1/2*z**3 - 1/5*z**5. Let l(h) be the first derivative of c(h). Factor l(n).
-3*(n + 1)*(4*n + 1)
Suppose u - 3*q = -2*q - 8, -4 = -3*u - 4*q. Let k(t) = t**3 + 6*t**2 + 8*t + 3. Let d be k(u). Factor d*y + 3*y**2 + y - y.
3*y*(y + 1)
Suppose -3/2*g**4 + 0 + 0*g - 72*g**2 + 57/2*g**3 = 0. What is g?
0, 3, 16
Let w(a) = a**2 - 16*a - 33. Let i be w(18). Let t(o) be the third derivative of 3*o**3 - 1/180*o**6 + 0 - i*o**2 + 1/10*o**5 + 0*o - 3/4*o**4. Factor t(r).
-2*(r - 3)**3/3
Let f(g) = -g**2 + 10*g - 19. Let p be f(7). Let l = -603 + 606. Factor -1/8*w**4 + 1/8*w**p + 0 + 1/8*w**l - 1/8*w.
-w*(w - 1)**2*(w + 1)/8
Let k(s) be the second derivative of 2*s**7/21 + 8*s**6/15 + s**5/5 - 10*s**4/3 - 8*s**3/3 + 16*s**2 + 4*s - 5. Factor k(o).
4*(o - 1)**2*(o + 2)**3
Let m be 8/56 + (-4)/7 - -1. Factor 0 - 2/7*z**4 + m*z**3 - 4/7*z + 2/7*z**2.
-2*z*(z - 2)*(z - 1)*(z + 1)/7
Let g = -512 - -20481/40. Let b(j) be the third derivative of 0*j - g*j**6 + 0*j**3 + 0 + 2*j**2 + 0*j**4 + 0*j**5 - 1/70*j**7. Suppose b(w) = 0. Calculate w.
-1, 0
Let u(h) = h**3 - 4*h**2 - 5*h + 4. Let g be u(5). Determine s so that 0 - 2 + g*s + 6 + 2*s + 2*s**2 = 0.
-2, -1
Let n(s) be the third derivative of -s**5/330 + 7*s**4/66 - 13*s**3/33 + 8*s**2 - 2*s. Factor n(u).
-2*(u - 13)*(u - 1)/11
Let i(a) be the second derivative of 0 + 1/40*a**5 - 2/3*a**3 - 1/2*a**2 + a - 5/16*a**4 + 1/24*a**6. Find n, given that i(n) = 0.
-1, -2/5, 2
Let q be (-2717)/156 - -17 - (-6)/8. Determine d, given that -q - 1/3*d**2 - 2/3*d = 0.
-1
Suppose 28/11*l**3 - 36/11*l + 0 + 58/11*l**2 = 0. What is l?
-18/7, 0, 1/2
Let i(t) be the first derivative of 3/8*t**2 + 0*t**3 - 1/16*t**4 - 10 - 1/2*t. Factor i(c).
-(c - 1)**2*(c + 2)/4
Let q(k) = -3*k**2 + 2*k + 18. Let f(m) = -4*m - 159 + 124 + 5*m**2 - m. Let t(d) = 2*f(d) + 5*q(d). Factor t(u).
-5*(u - 2)*(u + 2)
Let u(t) = t**2 + 10*t - 20. Let d be u(-12). Suppose -d*p - 75 = -95. Solve 2/13*z**2 + 0*z + 18/13*z**4 + 12/13*z**3 + 8/13*z**p + 0 = 0 for z.
-1, -1/4, 0
Let k(g) be the first derivative of -g**4/24 - 49*g**3/6 - 468*g**2 - 2592*g - 470. Factor k(c).
-(c + 3)*(c + 72)**2/6
Let g(m) be the second derivative of -m**7/105 + m**5/15 - m**3/3 - 15*m**2/2 + 7*m. Let f(k) be the first derivative of g(k). Factor f(h).
-2*(h - 1)**2*(h + 1)**2
Let u(m) be the first derivative of m**5/5 - m**4 + 2*m**3/3 + 2*m**2 - 3*m - 61. Solve u(f) = 0 for f.
-1, 1, 3
Let u(k) = -11*k**4 - 54*k**3 + 79*k**2 - 10*k - 24. Let p(j) = -16*j**4 - 55*j**3 + 80*j**2 - 10*j - 24. Let m(i) = 4*p(i) - 5*u(i). Let m(s) = 0. What is s?
-4/9, 1, 2, 3
Factor 4*i**4 + 10*i**4 + 0*i**5 - i**2 + 2*i**5 + 2*i**3 - 5*i**2 - 4*i - 8*i**4.
2*i*(i - 1)*(i + 1)**2*(i + 2)
Factor -4/9 - 6*z**2 - 26/9*z - 14/9*z**4 - 46/9*z**3.
-2*(z + 1)**3*(7*z + 2)/9
Let q(n) be the second derivative of -n**5/140 - 29*n**4/28 - 44*n**3 + 968*n**2/7 - 2*n - 61. Factor q(g).
-(g - 1)*(g + 44)**2/7
Solve 3*s**3 + 62 + 125*s - 2 + 70*s**2 + 2*s**3 = 0.
-12, -1
Let u(y) be the first derivative of -y**4/4 + 8*y**3 - y**2/2 + 28*y - 48. Let t be u(24). Suppose -2/3*r**3 + 0*r - 4/9*r**t - 2/9*r**2 + 0 = 0. What is r?
-1, -1/2, 0
Let v = -3846 - -3846. Factor 1/5*l**4 + v + 0*l**2 - 2/5*l**3 + 0*l.
l**3*(l - 2)/5
Let w(y) be the first derivative of y**4/8 - 4*y**3 - 25*y**2/4 - 25. Factor w(s).
s*(s - 25)*(s + 1)/2
Let n = 48 - 48. Suppose -u + 2*u = p, n = 2*p + 4*u - 12. Solve -4*z**p - 8/3*z - 2/3*z**4 - 8/3*z**3 - 2/3 = 0 for z.
-1
Let s(j) be the second derivative of j**7/210 + j**6/50 + 3*j**5/100 + j**4/60 + 48*j + 2. Find v such that s(v) = 0.
-1, 0
Let r(z) be the first derivative of z**6/33 - 2*z**5/55 - z**4/22 + 2*z**3/33 + 350. Factor r(j).
2*j**2*(j - 1)**2*(j + 1)/11
Let t(h) be the first derivative of -h**6/2 - 6*h**5/5 + 21*h**4/4 + 20*h**3 + 18*h**2 + 213. Find x, given that t(x) = 0.
-2, -1, 0, 3
Let c = 179/350 + 3/50. Let t be 1080/105 - (11 - 1). Factor 4/7 - t*i - c*i**2 + 2/7*i**3.
2*(i - 2)*(i - 1)*(i + 1)/7
Let a(b) be the second derivative of -1/7*b**3 + 0 - 2/7*b**2 - 10*b - 1/42*b**4. Factor a(j).
-2*(j + 1)*(j + 2)/7
Let h(k) be the second derivative of 9*k**5/80 - 13*k**4/12 + 5*k**3/2 + 2*k**2 + 109*k. Factor h(y).
(y - 4)*(y - 2)*(9*y + 2)/4
Let s(j) be the first derivative of 8*j**5/5 + 27*j**4 + 229. Factor s(t).
4*t**3*(2*t + 27)
Let m(j) = 2*j - 3. Let u be m(3). Suppose -3*b + 12 = 4*h, -u*b = -5*b + 5*h - 15. Factor 3 + 7*p**2 - 10*p**2 + b.
-3*(p - 1)*(p + 1)
Let c(a) be the first derivative of -a**6/15 - 2*a**5/5 - a**4 - 4*a**3/3 - a**2 + 30*a + 4. Let p(m) be the first derivative of c(m). Factor p(j).
-2*(j + 1)**4
Let b = 122 + -7. Factor 15*v**2 - b*v + 3*v**3 + 9 + 136*v + 0.
3*(v + 1)**2*(v + 3)
Factor -1/5*p**2 - 11236/5 - 212/5*p.
-(p + 106)**2/5
Suppose 43 = -3*w + 58, 26 = 4*c + 2*w. Factor -5*j**c + 0*j**2 + 15/2*j**3 - 5/2*j + 0.
-5*j*(j - 1)**2*(2*j + 1)/2
Suppose 2*a - 16 = -12. Suppose 0 = -2*l + 8, -2*y - 14 = -0*y - 5*l. Let 1/2*b - a*b**2 + 0 + 3/2*b**y = 0. Calculate b.
0, 1/3, 1
Let p(w) be the second derivative of -w**6/40 - w**5/15 - w**4/24 - 7*w**2/2 - 25*w. Let a(t) be the first derivative of p(t). Find s such that a(s) = 0.
-1, -1/3, 0
Let k = 55 + -66. Let d be (-33)/k*(2 + 1/(-3)). Suppose 2/5*u**d + 2/5 + 2/5*u + 2/5*u**4 - 4/5*u**2 - 4/5*u**3 = 0. What is u?
-1, 1
Let y(r) = 11*r - 2. Let f be y(6). Factor -16*l + 4*l**3 + 52*l**2 - f*l**2 + 0*l**3.
4*l*(l - 4)*(l + 1)
Let q(i) be the second derivative of i**5/30 + i**4/54 + 133*i. Factor q(j).
2*j**2*(3*j + 1)/9
Let w(h) be the third derivative of 0*h**3 + 0*h**4 - 3/100*h**5 - 1/200*h**6 + 0*h + 6*h**2 + 0. Determine j, given that w(j) = 0.
-3, 0
Suppose -3*k - 8 = 2*t, -5*t - 71*k = -69*k - 2. Factor 3/2*p**t - 3/2 + 0*p.
3*(p - 1)*(p + 1)/2
Let j(l) = -13*l**3 + 13*l - 5. Let y(c) = -7*c - 13*c + 19*c**3 + 0*c**3 + 7 + c. Let d(o) = -7*j(o) - 5*y(o). Suppose d(q) = 0. Calculate q.
-1, 0, 1
Solve -2/7*x**4 - 6*x + 0 - 6/7*x**3 + 50/7*x**2 = 0 for x.
-7, 0, 1, 3
Let b(u) be the second derivative of -u**4/66 - 3*u**3/11 - 8*u**2/11 + 74*u. Find f such that b(f) = 0.
-8, -1
Suppose 8*p - 516 = 5*p. Let v = 174 - p. Factor 0*j + 3/2*j**3 - 9/2*j**v + 0.
3*j**2*(j - 3)/2
Let s be (3/21 - 0)/((-37)/(-74)). Let g(l) be the first derivative of -s*l + 2/7*l**3 - 9 - 1/7*l**4 + 0*l**2. Factor g(w).
-2*(w - 1)**2*(2*w + 1)/7
Suppose -3*p + 0 + 12 = 0. Let w = -2 + p. Factor 8*i**2 - 2*i - 2*i**5 - 4*i - 24*i**3 + 8*i**w + 12*i**4 + 4*i**2.
-2*i*(i - 3)*(i - 1)**3
Suppose 4*n + 8 + 2*n + 4*n**2 - 28 - 4*n + 14*n = 0. Calculate n.
-5, 1
Let v(g) = g**2 + 2. Let s be v(0). Find q such that -q**3 - 3*q**3 - q**3 - s*q**4 + 4 - 2 + 5*q = 0.
-2, -1, -1/2, 1
Let g be 222/(-42) + 4 + 15. Suppose -2/7*t**3 - 24/7*t**2 - g*t - 128/7 = 0. Calculate t.
-4
Solve 0 + 45/4*b + 3/4*b**3 - 6*b**2 = 0 for b.
0, 3, 5
Suppose d - 198 = 36. Let j be ((-48)/d)/((-2)/18). Suppose -j*g**2 - 12/13*g**4 + 0 - 8/13*g - 2*g**3 - 2/13*g**5 = 0. What is g?
-2, -1, 0
Let 0 - 13/10*x**2 - 2/5*x - 3/2*x**3 - 1/10*x**5 - 7/10*x**4 = 0. What is x?
-4, -1, 0
Let a(u) be the first derivative of -1 + 1/2*u**3 - 6*u - 9/4*u**2. Factor a(g).
3*(g - 4)*(g + 1)/2
Find s, given that 6 - 1/2*s**5 - 5/2*s**2 - 8*s + 9/2*s**3 + 1/2*s**4 = 0.
-2, 1, 3
Let v(a) be the third derivative of 0*a + 1/6*a**3 - 27/160*a**6 + 39/80*a**5 + 0 - 5/12*a**4 + 7*a**2. Factor v(k).
-(k - 1)*(9*k - 2)**2/4
Let l(m) be the third derivative of m**6/240 + 3*m**5/40 + 9*m**4/16 + 9*m**3/4 - 54*m**2. Factor l(r).
(r + 3)**3/2
Let j(v) = -v + 25. Let n be j(22). Let y(m) be the third derivative of 1/90*m**6 + 0*m**5 + 7*m**2 - 1/9*m**n + 0 + 0*m + 1/315*m**7 - 1/18*m**4. Factor y(l).
2*(l - 1)*(l + 1)**3/3
Suppose -6*h = 9*h - 330. Suppose h*j = 23*j. Factor -4/5*r**4 - 2/5*r**3 + j*r - 2/5*r**5 + 0 + 0*r**2.
-2*r**3*(r + 1)**2/5
Determine y, given that 0 - 56/3*y**2 - 2/3*y**3 - 392/3*y = 0.
-14, 0
Suppose -2*u + 6*u = 64. Let v = -14 + u. Determine j, given that -2*j**v - 3*j + 5 - 11 + 5*j**2 = 0.
-1, 2
Let q(b) be the second derivative of b**6/48 + b**5/20 + 4*b**3 - 3*b. Let a(x) be the second de