(l) = 0. What is l?
2/5, 3
Let x(g) = g**3 - 13*g**2 + g - 9. Let c be x(13). Let b be (-10)/(-25)*6/c. Factor -b*f**2 + 0 + 6/5*f.
-3*f*(f - 2)/5
Suppose 0 = 4*w - 29 - 23. Suppose -f - w = -4*k, 3*k - 20 = -4*f + 4. Factor 2*j**k + 0*j**3 + j**3 - 5*j**3.
2*j**3*(j - 2)
Determine s so that -24/5*s**3 - 2*s**4 + 2/5*s**2 + 8/5 + 24/5*s = 0.
-2, -1, -2/5, 1
Let k = -7 - -10. Suppose 2*o + 4 = k*o - d, 2*o + 2*d = 0. Factor -g**4 + 2*g**2 - o*g**2 - 4*g**5.
-g**4*(4*g + 1)
Let k be 112/20 - (-4)/10. Solve -x**3 + k*x + 1 + 1 - 3*x = 0 for x.
-1, 2
Let f(y) be the second derivative of y**4/20 + 2*y**3/5 + 6*y**2/5 + 5*y. Factor f(z).
3*(z + 2)**2/5
Let z = -14 + 22. Let b(a) be the third derivative of 0*a**7 + 0*a**5 + 0*a**4 + a**2 + 0*a - 1/240*a**6 + 1/672*a**z + 0 + 0*a**3. Factor b(m).
m**3*(m - 1)*(m + 1)/2
Suppose 3*f + f = 8. Let 2*z - 3*z**3 + 3 + z**3 + 2*z**4 - f*z**2 - 3 = 0. What is z?
-1, 0, 1
Let f(d) be the third derivative of -d**9/18900 + d**8/2100 - 2*d**7/1575 + 7*d**4/24 + 4*d**2. Let w(z) be the second derivative of f(z). Factor w(j).
-4*j**2*(j - 2)**2/5
Factor 2 + 54 - 15*c - 9*c + 2*c**2 + 16.
2*(c - 6)**2
Suppose -133 = -5*v - 38. Solve -11*p - 5*p - 7*p**4 - 25*p**2 - 2 - 4*p**5 - 2 + 3*p**5 - v*p**3 = 0.
-2, -1
Factor -16/13 - 40/13*r - 36/13*r**2 - 14/13*r**3 - 2/13*r**4.
-2*(r + 1)*(r + 2)**3/13
Let x(k) = -k**2 - 11*k - 30. Let m be x(-6). Find b such that 1/3*b**3 + 0*b + 1/3*b**2 + m = 0.
-1, 0
Suppose -10/11*p**4 + 18/11*p**3 + 0 - 14/11*p**2 + 4/11*p + 2/11*p**5 = 0. Calculate p.
0, 1, 2
Let k(z) be the second derivative of z**6/30 - z**2/2 + 3*z. Let u(m) = -3*m**5 - 6*m**4 - 9*m**3 - 3*m**2 - 3. Let d(q) = -3*k(q) + u(q). Factor d(r).
-3*r**2*(r + 1)**3
Let d be 2/5 - 4/10. Let w be 27/30 + 1/(-2). Factor -2/5*h**2 + d - w*h**4 + 0*h + 4/5*h**3.
-2*h**2*(h - 1)**2/5
Let r(o) = 2*o**2 + o + 2. Let t(c) = -4*c + 5*c - 4*c + 2. Let i be t(2). Let g(q) = q**2 + 1. Let m(n) = i*r(n) + 6*g(n). Factor m(d).
-2*(d + 1)**2
Let u(b) = 2*b - 1. Let q be u(1). Let h(p) = 5*p**3 - 2*p**2 + 1. Let t be h(q). Let 0 + r**3 + 28*r**t - 4 + 6 - r - 30*r**2 = 0. What is r?
-1, -2/7, 1/4, 1
Let w(a) = a**3 - 14*a - 8. Let p be w(4). Factor -3/5*b**2 + p - 3/5*b.
-3*b*(b + 1)/5
Let s be (0 - 2) + 14/2. Determine p, given that 3*p**3 + 6*p - 2 - 2*p**2 - p**2 + 6*p**4 - 7*p**3 - 2*p**s - p**2 = 0.
-1, 1
Let n = 2 + 2. Let z be 2*n*(-2)/(-8). Suppose -2/3*o**z + 0 + 4/9*o = 0. Calculate o.
0, 2/3
Suppose 3 + 6 = -5*r + 4*p, -2*p + 6 = -4*r. Let h be 11/(-22)*(-1 - r). Factor 1/2*o**2 + 0*o + h + 1/2*o**3.
o**2*(o + 1)/2
Let j(n) be the second derivative of -n**4/6 + n**3/3 + 2*n**2 + 36*n. Determine v so that j(v) = 0.
-1, 2
Find b, given that -22*b - 36 - 2*b - 4*b**2 + 0*b = 0.
-3
Let w(d) be the second derivative of d**7/105 - d**6/180 - 2*d**3/3 + d. Let y(r) be the second derivative of w(r). Factor y(x).
2*x**2*(4*x - 1)
Let m(t) be the first derivative of 4*t**5/5 - 3*t**4 - 4*t**3/3 + 6*t**2 - 37. Factor m(v).
4*v*(v - 3)*(v - 1)*(v + 1)
Let s(o) = -o**3 - o**2 - o. Let q be s(-1). Let m(k) be the first derivative of 1/9*k**2 - 1/18*k**4 - 2/45*k**5 + 2/27*k**3 + q + 0*k. Factor m(l).
-2*l*(l - 1)*(l + 1)**2/9
Suppose -g - 11 = -21. Let b be 5/3*(-6)/(-8). Factor 1/4 + g*p**4 - 5/4*p**2 + 25/4*p**3 + 4*p**5 - b*p.
(p + 1)**3*(4*p - 1)**2/4
Let h = 662 - 660. Determine k so that 0*k - 2/5*k**3 + 6/5*k**h - 8/5 = 0.
-1, 2
Let g(h) be the first derivative of 5 - 1/7*h**2 + 2/21*h**3 - 4/7*h. Factor g(y).
2*(y - 2)*(y + 1)/7
Let 1/5*m**3 + 1/5*m**2 + 0 + 0*m = 0. Calculate m.
-1, 0
Let k be (2/8 + -1)/(3/(-2)). What is y in k*y**3 + 0 + y**2 + 0*y = 0?
-2, 0
Let d be (8/24)/(30/4)*10. Factor 0*c**3 + 2/9*c**5 + 4/9*c**2 + 0 - 2/9*c - d*c**4.
2*c*(c - 1)**3*(c + 1)/9
Factor 0 - 1/4*u + 1/4*u**3 + 1/4*u**4 - 1/4*u**2.
u*(u - 1)*(u + 1)**2/4
Suppose -3*o = -2*o. Factor -20*u**2 + 14*u**2 + o*u - 3*u**3 - 3*u.
-3*u*(u + 1)**2
Suppose 0 = -n - 4*v + 3*v - 4, 4*v + 4 = 0. Let h = 5 + n. Factor 1/3*g + g**h + 1/3*g**4 + 0 + g**3.
g*(g + 1)**3/3
Let s be 4*4/(-168)*-3. Suppose -s*g**3 + 2/7 + 2/7*g - 2/7*g**2 = 0. What is g?
-1, 1
Let m = 2680/7 - 382. Factor -24/7*s**2 + 4/7 - m*s - 2*s**3.
-2*(s + 1)**2*(7*s - 2)/7
Factor 2*n**2 + 4*n**4 - 1398*n**3 + 0*n**4 - 2*n**4 + 1402*n**3.
2*n**2*(n + 1)**2
Let y(o) be the first derivative of -4*o**3/3 - 16*o**2 - 64*o - 6. Factor y(u).
-4*(u + 4)**2
Suppose w - 5*w + 16 = 0. Factor -8*g**2 + g**5 - w*g + 4*g**4 - g**5 + 4*g**3 - 4*g**5 + 4*g**3 + 4.
-4*(g - 1)**3*(g + 1)**2
Let a = 2 + -2. Suppose a*b = -5*h - b, 0 = -3*h - 3*b. Determine d so that 1/2*d + 1/2*d**2 + h = 0.
-1, 0
Let k be ((-1)/2)/((-4)/(-48)). Let t be 5/2 + 3/k. Factor -1/4*i**t - 1/4 + 1/2*i.
-(i - 1)**2/4
Let n(t) be the third derivative of t**6/960 - t**5/120 + t**4/48 + 8*t**2. Suppose n(x) = 0. What is x?
0, 2
Let g = -16 - -18. Suppose -b**3 - 6*b**3 + 2*b**g + 2*b**3 + 3*b**3 = 0. What is b?
0, 1
Suppose 3*j - 2*j - 7 = -r, -r = 2*j - 9. Find d such that -4*d - r*d - 3*d**2 - 14 + 8 = 0.
-2, -1
Let g(o) be the second derivative of o**9/15120 - o**8/3360 + o**7/2520 - 5*o**4/12 - 8*o. Let l(j) be the third derivative of g(j). Find d such that l(d) = 0.
0, 1
Suppose -u + 2*n - 15 + 7 = 0, -5*u - 5 = -3*n. Let s = 2155/9 - 239. Determine w, given that 2/9*w**u + 2/9 - s*w = 0.
1
Let v = 151/553 + 1/79. Let g(o) be the second derivative of 0 - 1/21*o**3 + 1/70*o**5 - v*o**2 + o + 1/21*o**4. Suppose g(w) = 0. What is w?
-2, -1, 1
Let l(y) be the third derivative of 0*y**3 + 0*y + 32/15*y**7 + 64/135*y**5 + 191/135*y**6 + 2/27*y**4 + 21/16*y**8 + 0 - 4*y**2. Let l(i) = 0. What is i?
-2/7, -2/9, 0
Solve 2*a**2 + 2*a**2 + 4*a**3 + 3*a + a + 4*a**2 = 0 for a.
-1, 0
Let g(f) be the second derivative of f**7/420 + f**6/160 - f**5/80 + f**4/2 - 6*f. Let o(v) be the third derivative of g(v). Factor o(j).
3*(j + 1)*(4*j - 1)/2
Let f(i) be the third derivative of i**6/210 - i**5/35 - i**4/42 + 2*i**3/7 - 11*i**2. Factor f(y).
4*(y - 3)*(y - 1)*(y + 1)/7
Let g(b) be the first derivative of -25/6*b**3 + 5*b**2 + 1 - 2*b. Factor g(o).
-(5*o - 2)**2/2
Let i = 19 + -4. Solve i*o**4 + 11*o**3 + 15*o**2 - 3*o**2 + 25*o**3 = 0 for o.
-2, -2/5, 0
Let b(o) be the first derivative of o**4/2 + 2*o**3/3 - 4*o**2 - 8*o + 6. Determine t, given that b(t) = 0.
-2, -1, 2
Let n(y) be the second derivative of 1/15*y**3 + 0*y**2 - 3*y + 0 + 0*y**4 - 1/50*y**5. Solve n(m) = 0.
-1, 0, 1
Let n(v) be the first derivative of 11*v**3/6 - 9*v**2/4 - v + 11. What is c in n(c) = 0?
-2/11, 1
Factor 0 + 0*l - 3/2*l**2 + 1/2*l**3.
l**2*(l - 3)/2
Suppose -196/9 - 1/9*h**2 - 28/9*h = 0. What is h?
-14
Let d = 2 + 0. Factor d*c**3 + 0*c**4 + c**4 - 3*c**3.
c**3*(c - 1)
Factor -4 - 12*j**2 + 15*j**2 - 2*j**2.
(j - 2)*(j + 2)
Suppose 22*d = 4*d + 54. Factor 0*f**2 + 1/3*f**d + 2/3 - f.
(f - 1)**2*(f + 2)/3
Let s(y) = -4*y**3 + 12*y**2 - 8*y + 6. Let x(p) = 4*p**3 - 12*p**2 + 8*p - 7. Let n(m) = -7*s(m) - 6*x(m). Solve n(l) = 0.
0, 1, 2
Let a be (1/(-6) + 0)*12/(-9). Factor 2/9*f + 0 - a*f**5 + 4/9*f**2 - 4/9*f**4 + 0*f**3.
-2*f*(f - 1)*(f + 1)**3/9
Suppose -77/9*o**4 + 0 + 49/9*o**5 + 0*o - 4/9*o**2 + 32/9*o**3 = 0. What is o?
0, 2/7, 1
Suppose -1/3 - 1/6*l + 1/6*l**3 + 1/3*l**2 = 0. What is l?
-2, -1, 1
Let i(k) be the third derivative of k**7/70 - k**6/8 + 9*k**5/20 - 7*k**4/8 + k**3 - 6*k**2. Determine v, given that i(v) = 0.
1, 2
Let f(c) = 4*c - 7. Let o be f(5). Let m(l) = -10*l**4 + 6*l**3 + 4*l. Let x(h) = -21*h**4 + 12*h**3 + 9*h. Let g(w) = o*m(w) - 6*x(w). Factor g(y).
-2*y*(y - 1)**2*(2*y + 1)
Let q(v) be the third derivative of v**4/24 + 5*v**3/3 - 2*v**2. Let n be q(-8). Factor -5*z**2 + 3*z**2 + n*z - 4*z.
-2*z*(z + 1)
Factor -1/2 + 1/2*h**5 + 1/2*h - 1/2*h**4 - h**3 + h**2.
(h - 1)**3*(h + 1)**2/2
Let k = 39 + -109/3. Let h be 6/2*34/51. Factor -2*j**h - k*j - 2/3.
-2*(j + 1)*(3*j + 1)/3
Let l = -1773 - -210985/119. Let q = 125/357 + l. Factor 0 - 1/3*k**2 - q*k.
-k*(k + 1)/3
Let p = -296 + 298. Factor 1/2*v**3 + v**4 + 0*v + 0*v**p + 0 + 1/2*v**5.
v**3*(v + 1)**2/2
Let g(k) be the third derivative of k**8/168 - k**7/35 + k**6/20 - k**5/30 + 14*k**2 - 2. Let g(f) = 0. What is f?
0, 1
Factor 80*f**3 - 49*f**2 + 35 + 88*f + 227*f**2 + 342*f**2 - 363*f