te w.
0, 2
Let x be ((-30)/(-9))/(2/3). Let g(b) be the third derivative of 2*b**2 + 1/6*b**x - 7/60*b**6 + 0 + 0*b + 1/6*b**4 + 0*b**3. What is w in g(w) = 0?
-2/7, 0, 1
Let v be (-20)/5 + 26/6. Factor v*z**2 - 2/3 - 1/3*z.
(z - 2)*(z + 1)/3
Let o = -5 - -8. Solve 2*z**o - 4 - 4*z**4 - 6*z**3 + z**3 + 3 + 3*z + 5*z**2 = 0 for z.
-1, 1/4, 1
Suppose 3*a - 2*a - 5 = 0. Factor 3*m**2 - 8 - 3*m**2 + 3*m**2 - a*m**2 - 8*m.
-2*(m + 2)**2
Let y(a) be the first derivative of 9*a**3 + 3*a**2 + 4. Let y(k) = 0. What is k?
-2/9, 0
Let z(p) be the third derivative of 0*p + 0*p**4 + 1/60*p**5 + 0 - 1/6*p**3 - 3*p**2. Factor z(n).
(n - 1)*(n + 1)
Let y(m) be the second derivative of 3*m**5/160 + m**4/16 - m**3/16 - 3*m**2/8 - 10*m. Factor y(v).
3*(v - 1)*(v + 1)*(v + 2)/8
Let r = -12 - -18. Let h(a) be the first derivative of 0*a + 1/9*a**r - 1/6*a**4 + 2/15*a**5 - 2/9*a**3 - 2 + 0*a**2. Factor h(q).
2*q**2*(q - 1)*(q + 1)**2/3
What is m in 0 + 1/4*m**2 + 3/4*m = 0?
-3, 0
Suppose 5*d - w = 0, 0 = 3*d - 4*w - 15 - 2. Let z = 1 + d. Factor 1/3*y**3 - 1/3*y + z*y**2 + 0.
y*(y - 1)*(y + 1)/3
Let i(u) be the third derivative of u**6/30 - u**5/3 + 7*u**4/6 - 2*u**3 + 5*u**2. Factor i(n).
4*(n - 3)*(n - 1)**2
Suppose -1 = -t + 1. Suppose 4*k - 5 = 11. Solve c**k - c**5 - t + 4*c**2 - c**5 + 4*c**3 - 3*c**4 + 0*c**2 - 2*c = 0 for c.
-1, 1
Let t be (-25)/14*-3*(-8)/(-5). Factor 4/7 - 30/7*h - 100/7*h**3 + t*h**4 - 2*h**5 + 80/7*h**2.
-2*(h - 1)**4*(7*h - 2)/7
Determine v, given that 0 + 0*v + 2*v**5 + 10/3*v**3 + 2/3*v**2 + 14/3*v**4 = 0.
-1, -1/3, 0
Let j be 4/5 - (-10)/(-75). Factor -2/3*h**2 - 2/3*h**3 + 2/3 + j*h.
-2*(h - 1)*(h + 1)**2/3
Let f be (-2)/4 + (-35)/(-10). Suppose 13 = -c + 3*o, f*c - 9 = c - o. Factor 2/7*a**c + 0 + 2/7*a.
2*a*(a + 1)/7
Suppose -52*g - 25 + 4*g**5 + 48*g**3 + 14 + 12 + 23 + 8*g**2 - 32*g**4 = 0. What is g?
-1, 1, 6
Let k(s) be the first derivative of s**6/15 - 2*s**5/25 - s**4/5 + 4*s**3/15 + s**2/5 - 2*s/5 - 4. Factor k(d).
2*(d - 1)**3*(d + 1)**2/5
Let q(u) be the first derivative of -4 - 2/21*u**3 - 1/7*u**2 + 4/7*u. Determine o so that q(o) = 0.
-2, 1
Let t(c) = -c**2 - 3*c - 5. Let y be t(-3). Let r(p) = -p - 3. Let b be r(y). Determine k, given that -1/4*k + 1/4*k**3 - 1/4*k**b + 1/4 = 0.
-1, 1
Suppose -16 = 3*a - 2*t + t, -10 = 3*a - 4*t. Let y be (4/a)/((-2)/6). Determine v so that v**3 - 2 - 4*v**3 + 3*v + y = 0.
-1, 0, 1
Let x(q) = q**2 + 1. Let n(y) = 5*y**2 + 4*y + 3. Let r(a) = n(a) - 3*x(a). Factor r(s).
2*s*(s + 2)
Factor -3/5 - 6/5*g + 9/5*g**2.
3*(g - 1)*(3*g + 1)/5
Let m(u) be the first derivative of -3 + 0*u - 2/35*u**5 - 1/7*u**2 + 2/21*u**3 + 1/14*u**4. What is d in m(d) = 0?
-1, 0, 1
Let u(l) be the first derivative of -5*l**5 - 5*l**4/4 + 25*l**3/3 + 5*l**2/2 - 19. Factor u(k).
-5*k*(k - 1)*(k + 1)*(5*k + 1)
Let s(j) be the second derivative of j**6/75 + j**5/25 - j**4/10 - 12*j. Factor s(v).
2*v**2*(v - 1)*(v + 3)/5
Let q(z) be the second derivative of -25*z**5/26 - 25*z**4/13 - 20*z**3/13 - 8*z**2/13 + 3*z. Find k, given that q(k) = 0.
-2/5
Suppose 0 = -p - 5, -3*l = -2*p - 17 - 5. Let o(v) be the second derivative of 1/3*v**2 - v - 2*v**3 - 36/5*v**5 + 6*v**l + 0. Factor o(h).
-2*(6*h - 1)**3/3
Factor 0 + 0*r - 9/5*r**2 + 3/5*r**5 + 21/5*r**3 - 3*r**4.
3*r**2*(r - 3)*(r - 1)**2/5
Suppose 9 = -5*q - 16. Let c = q + 9. Determine b so that -b**3 - 5*b**2 + 2*b**4 + 5*b**2 + 3*b**5 - c*b**5 = 0.
0, 1
Let z be 12 - (-3)/(-1) - 3. Let -18 - 54*q**2 + 8*q**3 - z + 60*q + 13*q**3 - 3*q**4 = 0. What is q?
1, 2
Suppose -n - 3*k + 10 = 0, -3*n - 5*k + 18 = -n. Let 2*i**4 - n*i**3 - 4*i**4 + 2*i**3 = 0. Calculate i.
-1, 0
Let r(p) be the second derivative of p**9/6048 + p**8/1680 + p**7/1680 - p**3/2 + 3*p. Let c(j) be the second derivative of r(j). Factor c(t).
t**3*(t + 1)**2/2
Let j = -208/955 + 125707/151845. Let d = j - -3/53. Solve -2/3 + c - d*c**3 + c**2 = 0.
-1, 1/2, 2
Let v(i) be the second derivative of -1/90*i**5 + 1/36*i**4 + i**2 + 0 - i + 0*i**3. Let s(f) be the first derivative of v(f). Find p such that s(p) = 0.
0, 1
Let z be (4732/16)/7 + -2. Let d = z - 40. Let 0 + 1/4*l - d*l**3 + 1/4*l**4 - 1/4*l**2 = 0. What is l?
-1, 0, 1
Let z(a) be the third derivative of 7/12*a**4 - 5*a**2 - 1/168*a**8 + 0*a + 2/105*a**7 + 1/30*a**6 - 2/3*a**3 + 0 - 4/15*a**5. Factor z(g).
-2*(g - 1)**4*(g + 2)
Let w(v) = -2*v + 3. Let q be w(0). Let 9*o - 2 - 6 + 14 - 3*o**q = 0. What is o?
-1, 2
Let p(w) be the second derivative of w**6/60 + w**5/8 + w**4/3 + w**3/3 - 2*w. Factor p(o).
o*(o + 1)*(o + 2)**2/2
Let t(y) = 22*y**2 - 40*y + 4. Let s(l) = 21*l**2 - 40*l + 5. Suppose d + 1 + 2 = 0. Let b(v) = d*t(v) + 4*s(v). Factor b(k).
2*(k - 2)*(9*k - 2)
Let z be (-14)/(-42) - (0 - 10/6). Factor -1/4 + 1/4*i**z + 0*i.
(i - 1)*(i + 1)/4
Factor -1/5*a**3 + 1/5*a**4 - 2/5*a**2 + 0 + 0*a.
a**2*(a - 2)*(a + 1)/5
Factor 1/6 + 0*w**2 - 1/6*w**4 - 1/3*w**3 + 1/3*w.
-(w - 1)*(w + 1)**3/6
Let d = -26 - -29. Factor -8*x + 3*x**2 - 11*x**d - 23*x**2 + 39*x**3.
4*x*(x - 1)*(7*x + 2)
Suppose 2*i + 4 = -2*i. Let u be i + 0 + (-6)/(-2). What is v in -5*v**5 + 6*v**2 + 2*v**3 + u*v**4 - 8*v**2 + 3*v**5 = 0?
-1, 0, 1
Suppose -a + 4*a - 12 = 0. Let v(x) be the third derivative of 0*x - 1/30*x**a + 0*x**3 + 0 - 1/150*x**5 + 2*x**2. Factor v(k).
-2*k*(k + 2)/5
Let x(i) be the first derivative of 2*i**3/27 - 5*i**2/9 + 8*i/9 + 13. Find t such that x(t) = 0.
1, 4
Let k(h) be the third derivative of h**8/840 + 4*h**7/525 + h**6/75 - h**5/75 - h**4/12 - 2*h**3/15 - h**2. Factor k(u).
2*(u - 1)*(u + 1)**3*(u + 2)/5
Let z(t) = -2*t - 4. Let k = 13 + -16. Let p be z(k). Find y, given that 0*y - 2/7*y**p + 0 = 0.
0
Factor -3*j**3 - 1 + j + 0 + j**2 + 2*j**3 + 0*j.
-(j - 1)**2*(j + 1)
Suppose -3*g - 12 = -g - 5*h, 0 = -g - 3*h + 5. Let z be g/(-4) - 2/8. Find o, given that z - 8*o**2 - 4/3*o - 23/3*o**3 + 21*o**5 + 20*o**4 = 0.
-1, -1/3, -2/7, 0, 2/3
Let n(x) be the second derivative of -5*x**7/84 + x**6/6 + 3*x**5/5 + 2*x**4/3 + x**3/2 + x. Let w(j) be the second derivative of n(j). Solve w(f) = 0 for f.
-2/5, 2
Let m = 4 - 1. Factor 3*d**4 - 4 + m + 0*d**3 - 2*d**2 - 4*d + 4*d**3.
(d - 1)*(d + 1)**2*(3*d + 1)
Let -12/7*k**2 + 0 - 9/7*k**5 - 3*k**3 + 30/7*k**4 + 12/7*k = 0. Calculate k.
-2/3, 0, 1, 2
Let t be (-6)/(-24) + (-119)/(-4). Let c = t - 88/3. Let 4/3 - 2/3*z**2 - c*z = 0. What is z?
-2, 1
Let h(q) be the first derivative of 1/6*q**2 - 16/15*q**5 + 7/9*q**3 + 2/3*q**4 + 3 + 0*q. Find t such that h(t) = 0.
-1/4, 0, 1
Factor -8/13*k**2 + 0*k + 56/13*k**3 + 0 - 98/13*k**4.
-2*k**2*(7*k - 2)**2/13
Let r(p) be the first derivative of p**4/8 + 5*p**3/6 - 34. Factor r(l).
l**2*(l + 5)/2
Let x(u) = u**2 - 4*u - 2. Let d be x(5). Factor 2*c - 3*c**2 + c**2 + d*c**2 - c.
c*(c + 1)
Factor 4 + 3*m**2 - 15 - 1.
3*(m - 2)*(m + 2)
Solve 2/3*z**3 + 1/3*z - z**2 + 0 = 0 for z.
0, 1/2, 1
Let d(i) be the second derivative of -4*i**6/45 + i**4/6 + i**3/9 + 16*i. Suppose d(z) = 0. Calculate z.
-1/2, 0, 1
Let n = -20 + 41/2. Factor n*q + 1/4*q**2 + 0.
q*(q + 2)/4
Let b(z) = -z**4 + z**2 + z + 1. Let x(m) = 4*m**3 + 6*m**2 + 3*m + 1. Let s(v) = 3*b(v) - 3*x(v). Let s(h) = 0. What is h?
-2, -1, 0
Let u(h) = -h**3 - 9*h**2 + h + 5. Let n be u(-8). Let k = n + 337/5. Solve 0*s + 2/5 - k*s**2 = 0 for s.
-1, 1
Let v(a) be the second derivative of 1/12*a**4 - 1/30*a**6 + 0*a**2 + 1/20*a**5 - 1/42*a**7 + 0 - a + 0*a**3. Solve v(d) = 0.
-1, 0, 1
Factor 1/3*w + w**2 - 2/3.
(w + 1)*(3*w - 2)/3
What is q in -2*q**5 + 2*q**3 - 3479*q + 2*q**4 + 3479*q - 2*q**2 = 0?
-1, 0, 1
Factor -2/13 - 2/13*x**2 + 4/13*x.
-2*(x - 1)**2/13
Let a(o) be the third derivative of 5*o**8/336 - 11*o**7/672 - o**6/360 + o**5/120 - 7*o**3/6 + 2*o**2. Let q(n) be the first derivative of a(n). Factor q(c).
c*(4*c + 1)*(5*c - 2)**2/4
Let q be 0/((3/(-9)*-3)/(-1)). Factor 0 + q*u**2 + 1/4*u**5 + 0*u + 1/2*u**4 + 1/4*u**3.
u**3*(u + 1)**2/4
Let b(z) be the first derivative of -5*z**6/3 + 3*z**5/5 + 37*z**4/20 - 8*z**3/5 + 2*z**2/5 - 1. Let b(j) = 0. Calculate j.
-1, 0, 2/5, 1/2
Let d(t) be the third derivative of t**8/588 + t**7/245 - t**6/140 - t**5/105 + 6*t**2. Solve d(p) = 0.
-2, -1/2, 0, 1
Factor -4*w**2 + 10*w**2 - w**2 - 5*w**3.
-5*w**2*(w - 1)
Let o(v) be the second derivative of -v**4/6 - 5*v**3/