2 = 0. Calculate q.
-1, 2/9, 1
Let v = 2073 + -2073. Let t(u) be the second derivative of 0*u**2 + 0*u**4 + 0*u**3 - 1/60*u**5 + 2*u + v. Factor t(c).
-c**3/3
Let g(u) be the first derivative of -u**5/15 + 11*u**4/12 - 10*u**3/9 - 130. Factor g(q).
-q**2*(q - 10)*(q - 1)/3
Let o be ((-9684)/1380 - (0 - 5)) + 2. Let d = 579/230 + o. Let 4*y**2 + d*y - 8/3*y**3 + 1/3 = 0. What is y?
-1/4, 2
Let x(q) be the third derivative of q**7/2835 - q**6/1080 - q**5/540 + q**4/6 + 11*q**2. Let d(m) be the second derivative of x(m). Factor d(f).
2*(f - 1)*(4*f + 1)/9
Let x = -21/10 - -73/30. Let -4/3 + 4/3*k - x*k**2 = 0. What is k?
2
Factor 20/9*x**2 + 4/3*x**4 - 2/3*x - 2/9*x**5 - 8/3*x**3 + 0.
-2*x*(x - 3)*(x - 1)**3/9
Let q be 1128/1584 - 6/11. Factor 1/6*f**2 - 1/3*f + q.
(f - 1)**2/6
Let s(a) be the second derivative of 3*a**4/14 - 38*a**3/21 + 8*a**2/7 + 389*a. Factor s(n).
2*(n - 4)*(9*n - 2)/7
Suppose -1 = n - 4. Find x such that x**4 + 3*x**3 + 9 + 0 + x**2 - 11 - n*x = 0.
-2, -1, 1
Let r be (-60 - -12)*6/(-8). Suppose -6*y = 3*y - r. Suppose 1/2*u - 3/2*u**2 - 1/2*u**y + 3/2*u**3 + 0 = 0. What is u?
0, 1
Let p(r) = r**2 + r - 1. Suppose 15 = 6*j - j. Let y be p(j). Solve 5*b**2 - 4*b**2 - y*b**2 - 8*b + 4*b**4 - 2*b**2 = 0 for b.
-1, 0, 2
Let n(i) = i**2 + 2*i + 10. Let k be n(0). Find d such that 7*d + k*d - d + 16 + 4*d**2 = 0.
-2
Let i be 4/(4 - 2) - -1. Factor 45 + 2*s**3 + 12*s**i - 105*s + 50*s**2 - 5*s**5 + 16*s**3 - 15*s**4.
-5*(s - 1)**3*(s + 3)**2
Suppose -358 = -11*s - 314. Let q(z) be the third derivative of 0*z**3 + 6*z**2 + 0*z + 0*z**s + 0 + 1/390*z**5. Factor q(d).
2*d**2/13
Determine u, given that 26/11*u + 16/11*u**2 + 2/11*u**3 + 12/11 = 0.
-6, -1
Let r(u) be the third derivative of -u**6/40 + 5*u**5/2 - 102*u**2. Let r(h) = 0. Calculate h.
0, 50
Let v(w) = 2*w - 17. Let k be v(12). Let p be 1/3*k - 2. Suppose p + 1/2*b - 20/3*b**5 - 13/3*b**2 - 5/6*b**3 + 11*b**4 = 0. What is b?
-1/2, -1/4, 2/5, 1
Let i be (-7 - -3)*2/(-4). Suppose 0*w - 4*b = -w - 12, i*b = 2*w. Factor 0 + w*c**2 + 0 - 7*c**2 + 3*c**4.
3*c**2*(c - 1)*(c + 1)
Solve -34/3*g**4 - 1058/3 + 2/9*g**5 + 7682/9*g + 1532/9*g**3 - 660*g**2 = 0 for g.
1, 3, 23
Factor -2/13*u**5 - 10/13*u**4 + 16/13*u + 8/13*u**2 + 0 - 12/13*u**3.
-2*u*(u - 1)*(u + 2)**3/13
Let s(g) = 3*g - 19. Let l be s(10). Factor 16*k**3 - 5*k**2 - l*k**3 + 2*k + 0*k + 3*k**4 - 9*k**3.
k*(k - 2)*(k + 1)*(3*k - 1)
Let b be ((-3)/(-15))/(375/9375). Let 2/3*p**3 + 2/3*p**4 + 7/3*p - 8/3*p**2 - 1/3*p**b - 2/3 = 0. What is p?
-2, 1
Suppose -3*q = -9*q + 54. Determine p, given that -q*p**3 + 30*p**2 - 12*p**3 - 6*p**2 - 3*p**4 = 0.
-8, 0, 1
Let g(t) = t**2 + 26*t + 84. Let h be g(-25). Suppose -61*i + h*i - 3*x - 11 = 0, -4*i + 23 = -3*x. Factor 4/5*v + 2/5*v**i + 0.
2*v*(v + 2)/5
Let v(u) be the third derivative of -1/140*u**5 + 0*u + 8*u**2 + 1/28*u**4 + 0*u**3 + 0. What is z in v(z) = 0?
0, 2
Let y be -2 - (-3 - 2/(-2)). Suppose 4*i = -w - 7, -i + y*i - 1 = w. What is z in 2*z**3 + 4*z**2 - z**5 - 6*z**2 + 0*z**5 - z + w + z**4 = 0?
-1, 1
Suppose -2/3*i**5 + 11/3*i**4 - 8/3*i**2 + 0*i + 0 - 10/3*i**3 = 0. Calculate i.
-1/2, 0, 2, 4
Let m be (-10)/(-3 - (-6 + 5)). Factor 363*k - 363*k - 3*k**m + 3*k**3.
-3*k**3*(k - 1)*(k + 1)
Let q(h) be the third derivative of h**9/60480 + h**8/6720 - h**7/1260 - h**5/20 + 17*h**2. Let d(o) be the third derivative of q(o). Factor d(r).
r*(r - 1)*(r + 4)
Let b(a) be the third derivative of a**4/24 - 2*a**3/3 - 2*a**2. Let f be b(7). Factor q**4 - 4*q**2 + 3*q**2 + 5*q**2 + 1 + 2*q**2 + 4*q**f + 4*q.
(q + 1)**4
Suppose -2 = 3*t - 4*t. Suppose t*i = -4*y + 16, 2*y + 5*i = -2*y + 16. Factor 5/4*r**3 - 1/4*r**y + 0 + r - 2*r**2.
-r*(r - 2)**2*(r - 1)/4
Let y(x) be the third derivative of x**7/210 - x**6/18 + 7*x**5/30 - x**4/2 - 5*x**3/6 + 3*x**2. Let c(i) be the first derivative of y(i). Factor c(s).
4*(s - 3)*(s - 1)**2
Suppose -3*b = 684*l - 688*l + 2, 2*l = 2*b. Solve 1/4*k**b + 0 - 3/4*k = 0 for k.
0, 3
Suppose 0 = 2*z - 5*z + 54. Suppose r - 2*p + z = 2*p, -15 = 5*r - 5*p. Factor -7/4*m + 1/2 + 3/4*m**r.
(m - 2)*(3*m - 1)/4
Let u(n) = -n**3 + 9*n**2 - 10*n + 19. Let o be u(8). Suppose 3*b = -r + 8, 0 - 4 = b - o*r. Factor -10/3*g**b + 0 - 5/3*g - 5/3*g**3.
-5*g*(g + 1)**2/3
Let m = -49 - -49. Suppose -2*q - 5*d - 1 + 6 = 0, m = 2*q + 3*d - 3. Factor q*a + 3/5*a**2 - 3/5.
3*(a - 1)*(a + 1)/5
Let p(o) be the second derivative of o**4/3 - 704*o**3/3 + 61952*o**2 + 38*o + 1. Factor p(r).
4*(r - 176)**2
Let q(u) = -10 - 4*u**3 - 9 + 32*u**2 - 36*u**2 - 16*u + 3. Let k(j) = j**3 + j**2 + 5*j + 5. Let d(p) = -10*k(p) - 3*q(p). Let d(z) = 0. Calculate z.
-1, 1
Let p(l) be the third derivative of l**5/330 + 29*l**4/44 + 86*l**3/33 + 13*l**2 - 10. Find d such that p(d) = 0.
-86, -1
Let l(y) be the first derivative of y**3/18 + 3*y**2/4 + 7*y/3 + 96. Determine r, given that l(r) = 0.
-7, -2
Factor 1/5*f**5 + 8/5*f + 7/5*f**2 - 7/5*f**4 + 0 - 9/5*f**3.
f*(f - 8)*(f - 1)*(f + 1)**2/5
Let y(v) be the second derivative of 23*v + 7/60*v**5 + 0 + 0*v**2 - 1/9*v**3 + 5/36*v**4. Determine i so that y(i) = 0.
-1, 0, 2/7
Let u(h) be the first derivative of 0*h**2 + 4/25*h**5 + 0*h**3 + 0*h - 1/10*h**4 - 1/15*h**6 + 7. Determine o so that u(o) = 0.
0, 1
Let g be (-132)/77*(-3)/2*28. Let r be (g/90)/((-2)/(-5)). Factor i**3 + 9/5*i**r + 7/5*i + 2/5 + 1/5*i**4.
(i + 1)**3*(i + 2)/5
Let m(f) = -f**4 - f**3 + f**2 - f - 1. Let y(c) = -20*c**4 - 6*c**3 - 8*c**2 + 6*c - 26. Let u = 39 - 75. Let b(o) = u*m(o) + 2*y(o). Factor b(l).
-4*(l - 2)**2*(l - 1)**2
Let p(z) be the second derivative of 0 + 5/12*z**3 + 1/2*z**2 + 6*z - 7/24*z**4. Find i such that p(i) = 0.
-2/7, 1
Let n(i) be the first derivative of -i**6/6 + 3*i**5/10 + i**4/8 - i**3/2 + i**2/4 - 5. Find u, given that n(u) = 0.
-1, 0, 1/2, 1
Let g(h) = h**2 - 339*h + 1342. Let b be g(4). Find c such that 4/3*c**4 - 4*c**b + 0 + 8/3*c + 0*c**3 = 0.
-2, 0, 1
Suppose -1/7*d**5 - 4/7 + 5/7*d**3 - 1/7*d**4 + 5/7*d**2 - 4/7*d = 0. Calculate d.
-2, -1, 1, 2
Suppose -13*i + 14*i = -3*f - 9, 5*i + 2*f - 7 = 0. Let v(x) be the first derivative of 2/3*x**i + 1/10*x**5 - 1/2*x**4 + 0*x - 3 + 0*x**2. Factor v(q).
q**2*(q - 2)**2/2
Let t(p) = 20*p**2 + 36*p + 196. Let m(z) = -2*z**2 - 3*z. Let j(r) = -12*m(r) - t(r). Determine q, given that j(q) = 0.
-7, 7
Let f(h) be the third derivative of -h**7/840 + 7*h**6/960 + h**5/48 - 11*h**4/64 - 3*h**3/8 - h**2 - 296*h. Find d such that f(d) = 0.
-2, -1/2, 3
Suppose -y - 5*y = 6. Let h be ((-325)/(-45) + -7)*(y - -2). Suppose 0*g - h*g**2 + 2/9 = 0. What is g?
-1, 1
Let l(c) be the second derivative of c**5/10 + 5*c**4/6 + 4*c**3/3 + c + 28. Factor l(y).
2*y*(y + 1)*(y + 4)
Let u be (-4 + (-7)/(-2))/((-1)/22). Let x(a) be the first derivative of 0*a + 1/28*a**4 + 1/7*a**3 + 1/7*a**2 + u. Factor x(o).
o*(o + 1)*(o + 2)/7
Let h(o) be the first derivative of 2*o**3/3 + 49. Find v, given that h(v) = 0.
0
Suppose -13*g - 2 = -14*g. Suppose g*d - 10 = 0, 4*n = 3*d + 4 - 11. Determine r so that 0 - 2/9*r**5 - 2/9*r**4 + 0*r + 2/9*r**3 + 2/9*r**n = 0.
-1, 0, 1
Factor -1/4*y**2 - 3/2*y**3 + 0 + 1/4*y**4 + 3/2*y.
y*(y - 6)*(y - 1)*(y + 1)/4
Factor 59048/3*o + 9598*o**2 + 29768/3 + 2/3*o**4 - 484/3*o**3.
2*(o - 122)**2*(o + 1)**2/3
Suppose -37 = -5*r + 8. What is c in -27*c**2 - c**3 + 38*c**3 - 7*c**3 - r*c**4 + 6*c = 0?
0, 1/3, 1, 2
Let j(q) be the second derivative of 1/36*q**7 + 1/30*q**5 + 0 + 1/6*q**2 - 11/36*q**3 - 4/45*q**6 + 7/36*q**4 + 32*q. Suppose j(a) = 0. Calculate a.
-1, 2/7, 1
Let n = -1 + 181. Let d = n + -351/2. Factor 0 - 3/2*b**3 + 2*b - 4*b**2 + d*b**4.
b*(b + 1)*(3*b - 2)**2/2
Let t(x) be the first derivative of -20 - 12*x**2 + 0*x - 4/5*x**5 - 6*x**4 - 44/3*x**3. Factor t(q).
-4*q*(q + 1)*(q + 2)*(q + 3)
Let k(c) = -2*c**5 + 0*c + 149*c**3 - 4*c**4 + 0*c - 154*c**3. Let j(y) = -y**5 - 2*y**4 - 3*y**3. Let v(s) = -5*j(s) + 3*k(s). Factor v(u).
-u**4*(u + 2)
Let p(t) be the third derivative of t**5/120 + 13*t**4/48 + 3*t**3 - 7*t**2 - 35. Find c, given that p(c) = 0.
-9, -4
Let t be (18/8)/((-3)/(-4)). Factor 4*o**3 + 8*o**4 + 4*o**5 - 16*o - 36*o**3 - 32*o**2 + 20*o**t.
4*o*(o - 2)*(o + 1)**2*(o + 2)
Let v(g) be the first derivative of -g**6/1620 + g**5/108 + 2*g**3/3 + 20. Let j(n) be the third