0.
-2, 3
Let j be 164/90 - 12/54. Let u(q) be the first derivative of 0*q + j*q**5 + 0*q**3 + 0*q**2 - 1/2*q**4 + 2. Factor u(g).
2*g**3*(4*g - 1)
Find c, given that 0 + 2/5*c**4 + 0*c + 2*c**3 + 12/5*c**2 = 0.
-3, -2, 0
Let p(y) be the first derivative of -2*y - 1/2*y**2 + 1/3*y**3 + 4. Determine j so that p(j) = 0.
-1, 2
Let -2/3*i + 2/3*i**3 + 0 + 2/3*i**2 - 2/3*i**4 = 0. What is i?
-1, 0, 1
Let v(i) be the third derivative of i**8/1512 + i**7/315 + i**6/180 + i**5/270 - 13*i**2. Find t, given that v(t) = 0.
-1, 0
Let q(g) be the first derivative of 1/120*g**5 + 1/720*g**6 + 0*g + 0*g**2 - 2/3*g**3 - 1 + 1/48*g**4. Let o(u) be the third derivative of q(u). Factor o(y).
(y + 1)**2/2
Let u(r) be the second derivative of 4*r - r**2 + 0 + 3/2*r**3 - r**4 + 1/4*r**5. Factor u(l).
(l - 1)**2*(5*l - 2)
Let p(f) be the third derivative of f**5/180 - f**4/24 - 7*f**2. Factor p(y).
y*(y - 3)/3
Find u, given that 3/5*u - 3/5*u**4 + 9/5*u**3 - 9/5*u**2 + 0 = 0.
0, 1
Factor -2/9*d**2 - 8/9*d - 2/3.
-2*(d + 1)*(d + 3)/9
Let q(j) be the first derivative of j**5/2 + 5*j**4/2 + 5*j**3 + 5*j**2 + 5*j/2 - 6. Let q(p) = 0. Calculate p.
-1
Let v = 1300/3 + -433. Solve v*b**3 - b + 2/3*b**2 + 0 = 0.
-3, 0, 1
Let g = 6 + -4. Let z be 3 + 0/((-8)/(-4)). Factor -t**4 + t**z - 5*t**2 + 3*t**2 + g*t**4.
t**2*(t - 1)*(t + 2)
Factor -r**4 + 1/2*r**5 + 0*r**3 - 1/2*r + r**2 + 0.
r*(r - 1)**3*(r + 1)/2
Suppose -12 - 6 = g. Let c be (-66)/g + (-1)/(-3). Factor o**c - o**4 + 2*o**3 + 4*o**4 + 2*o**5.
2*o**3*(o + 1)**2
Determine p so that 56/3*p - 14/3*p**3 + 16/3 - 10/3*p**4 + 12*p**2 = 0.
-2, -1, -2/5, 2
Let o(q) be the second derivative of 0 + 1/150*q**6 + 0*q**4 + 5*q + 0*q**3 + 0*q**2 + 1/100*q**5. Factor o(m).
m**3*(m + 1)/5
Let p be 7/(14/4) + 1. Solve 0 - 2/9*n**p + 0*n - 2/9*n**2 = 0 for n.
-1, 0
Let w(j) be the second derivative of j - 1/12*j**3 + 1/24*j**4 + 1/40*j**5 - 1/4*j**2 + 0. Factor w(o).
(o - 1)*(o + 1)**2/2
Let z(q) = -q**3 + 8*q**2. Let v(t) = -3*t - 4. Let r be v(-4). Let j be z(r). Factor 0*k - 1/5*k**2 + j.
-k**2/5
Let q be 1 - (-3 + 232/60). Let t(h) be the second derivative of 4*h + 0 + 1/5*h**2 - q*h**3 + 1/30*h**4. Determine n, given that t(n) = 0.
1
Let z(d) be the second derivative of 3*d**2 + 5/2*d**3 + 0 + d**4 + 3/20*d**5 + 2*d. Factor z(i).
3*(i + 1)**2*(i + 2)
Suppose -1 + 3*k - 10*k**2 + 18*k**4 - 10*k**4 + 0*k**5 - 3*k**5 + 3 = 0. What is k?
-1, -1/3, 1, 2
Let y(p) = -3*p**2 + 4*p - 2. Let z(r) = -4*r**2 + 4*r - 1. Let h(f) = 3*y(f) - 2*z(f). Find v, given that h(v) = 0.
2
Suppose 0 = -0*j - 2*j - 16. Let t = -6 - j. Factor -2*y + 2*y**3 + t*y**4 + 0*y**2 - 3*y**2 + 4 - 4*y**2 + y**2.
2*(y - 1)**2*(y + 1)*(y + 2)
Let j(f) be the second derivative of f**3/2 - 11*f**2/2 + 2*f. Let m be j(5). Find a such that 0*a + 0 - 1/5*a**5 + 0*a**m + 3/5*a**3 + 2/5*a**2 = 0.
-1, 0, 2
Let m(u) be the third derivative of -u**6/360 + u**5/60 - u**4/24 + u**3/18 - 3*u**2. Let m(s) = 0. What is s?
1
Let q = 2/299 - -592/897. Determine t, given that 2/9*t - 2/3*t**2 - 2/9*t**4 + 0 + q*t**3 = 0.
0, 1
Suppose -8*m + 9*m + 9 = 0. Let j be (m/(-4))/((-90)/(-48)). Find o such that 0*o**2 + 6/5*o - 3/5 - j*o**3 + 3/5*o**4 = 0.
-1, 1
Factor 0 + 2/9*u**2 + 10/9*u.
2*u*(u + 5)/9
Suppose 26*t + 28 = 132. Determine o, given that 4/13*o + 8/13*o**3 + 10/13*o**2 + 2/13*o**t + 0 = 0.
-2, -1, 0
Let b be (-4 + -1)*(18 + -19). Factor 1/3*k + 0*k**3 + 2/3*k**4 + 0 - 2/3*k**2 - 1/3*k**b.
-k*(k - 1)**3*(k + 1)/3
Let a(m) be the second derivative of -1/2*m**2 - 12/5*m**5 + 0 + 2/3*m**4 + 5/6*m**3 - 3*m. Solve a(p) = 0.
-1/3, 1/4
Let 4/5*p**3 - 2/3*p**2 + 0 - 2/15*p = 0. Calculate p.
-1/6, 0, 1
Determine z, given that 0 + 0*z**3 - 4/11*z**2 + 4/11*z**4 - 2/11*z + 2/11*z**5 = 0.
-1, 0, 1
Suppose -3*x - 4 + 19 = 0, 4*z = -5*x + 45. Let q(o) be the second derivative of 1/60*o**6 + 0 - 1/12*o**3 + 0*o**2 + 1/8*o**4 + 3*o - 3/40*o**z. Factor q(m).
m*(m - 1)**3/2
Let 31*m**3 + 4 + 7*m**2 - m**2 - 2*m**4 - 10*m + 0*m**4 - 29*m**3 = 0. Calculate m.
-2, 1
Let f be (15/4)/(36/96). Suppose 0 = -9*u + f*u - 5. Factor -1/3*a**u + 0 + 0*a**3 - 2/3*a**4 + 1/3*a + 2/3*a**2.
-a*(a - 1)*(a + 1)**3/3
Suppose 5*l + 6 = -4. Let a be 1 + l - (-27)/15. Let i**2 + 12/5*i - 9/5*i**4 - 12/5*i**3 + a = 0. What is i?
-1, -2/3, 1
Let q be 2 + (-7 - (5 + -9)) + 1. Suppose q - 1/4*z**2 + 0*z = 0. What is z?
0
Let w(a) = -3*a + 2. Let s be (3 - (-4 + 7))/(-2). Let h be w(s). Factor 0 + 1/3*l**h + 0*l.
l**2/3
Solve 3*r**2 - 60*r - 2*r**3 - 2*r**3 + 24*r - 27*r**2 = 0.
-3, 0
Let b(w) be the third derivative of w**7/2940 - w**6/1260 - w**5/210 - w**3/6 - w**2. Let v(f) be the first derivative of b(f). Solve v(h) = 0 for h.
-1, 0, 2
Let l(t) be the third derivative of -1/160*t**6 + 0*t**3 + 0*t**4 + 2*t**2 + 1/420*t**7 + 0*t - 1/120*t**5 + 0. Factor l(u).
u**2*(u - 2)*(2*u + 1)/4
Suppose 8*n - 3*n = 10. Let a(d) be the second derivative of 0*d**n + 1/3*d**6 + 3/10*d**5 + 1/3*d**3 + 0 + 2*d - 5/6*d**4 - 4/21*d**7. What is w in a(w) = 0?
-1, 0, 1/4, 1
Let p = -1084/9 - -5603/45. Let b = -11/3 + p. Factor 0*f - 2/5*f**4 - b*f**5 + 2/5*f**2 + 0 + 2/5*f**3.
-2*f**2*(f - 1)*(f + 1)**2/5
Let i(u) = -u**2 - 5*u + 10. Let b be i(-7). Let s = b - -8. Factor 19 + a**5 + a**2 - a**3 - a**s - 19.
a**2*(a - 1)**2*(a + 1)
Factor -8/5 + 6/5*v**2 - 2/5*v**3 + 0*v.
-2*(v - 2)**2*(v + 1)/5
Let t(q) be the first derivative of 2*q**6/15 + 6*q**5/25 - 2*q**3/15 - 59. Factor t(m).
2*m**2*(m + 1)**2*(2*m - 1)/5
Let p(c) be the third derivative of -1/15*c**5 + 0 - 3*c**2 - 1/4*c**6 - 11/35*c**7 + 0*c**4 + 0*c - 5/42*c**8 + 0*c**3. Find j, given that p(j) = 0.
-1, -2/5, -1/4, 0
Suppose 5/4*x**3 - 5*x - 5 + 5/4*x**2 = 0. Calculate x.
-2, -1, 2
Let x be (0 + (-2)/(-4))/((-6)/(-8)). Let a be (-4)/(-16)*(-4)/(-3). Find o such that -1/3 + 0*o**3 - a*o**4 + 0*o + x*o**2 = 0.
-1, 1
Suppose 2*x = 7*x + 2*j + 100, 0 = -2*x - 2*j - 46. Let b be (-22)/x - (-4)/(-18). Factor k - b - k + k**2.
(k - 1)*(k + 1)
Suppose -p = -5*f - 0*p + 8, -5*f = -4*p - 2. Solve -3*x**4 + 0*x**2 + 6*x + 15*x**3 - 3*x**3 - 15*x**f = 0 for x.
0, 1, 2
Let c(z) be the second derivative of z**8/560 + z**7/140 + z**6/120 - z**3/3 - 8*z. Let a(o) be the second derivative of c(o). Solve a(f) = 0.
-1, 0
Solve 12*b**2 - 11*b + 8*b + 0*b**4 - 4*b**4 - 5*b = 0 for b.
-2, 0, 1
Let m(c) be the third derivative of 1/60*c**6 + 0*c + 0 + 0*c**5 + 0*c**7 - 1/336*c**8 - 1/24*c**4 + 0*c**3 - 2*c**2. Factor m(y).
-y*(y - 1)**2*(y + 1)**2
Suppose 4 = 2*l - 0. Suppose -l*d = -5*f - 2 + 13, 0 = -4*d + 4*f - 4. Let 1/5*u**d + 1/5*u + 0 = 0. Calculate u.
-1, 0
Let p(t) be the third derivative of -t**9/302400 - t**8/100800 + t**5/60 + 2*t**2. Let s(y) be the third derivative of p(y). Let s(h) = 0. Calculate h.
-1, 0
Let l = -8 - -9. Suppose 5*y - 4 - l = 0. Let m(g) = -9*g**2 + 8*g + 1. Let k(a) = -a + 1. Let p(f) = y*m(f) - 4*k(f). Factor p(x).
-3*(x - 1)*(3*x - 1)
Factor 495*d**3 - 2*d**2 - 4 - 494*d**3 + 5*d**2.
(d - 1)*(d + 2)**2
Let q(i) be the first derivative of 4*i**5 + 7*i**4 - 4*i**3 - 14*i**2 - 8*i - 5. Factor q(a).
4*(a - 1)*(a + 1)**2*(5*a + 2)
Let y(o) be the third derivative of -o**8/336 + o**7/120 - o**6/240 - o**5/240 - 7*o**2. What is n in y(n) = 0?
-1/4, 0, 1
Let a(r) be the third derivative of r**7/42 + r**6/24 - r**5/4 - 5*r**4/24 + 5*r**3/3 - 4*r**2. Factor a(g).
5*(g - 1)**2*(g + 1)*(g + 2)
Let b(k) = -k**2 - 10*k - 5. Let g be b(-9). Factor a**5 + a**5 - g*a**5 + 3*a**4 - a**5.
-3*a**4*(a - 1)
Let g(f) be the first derivative of -3 + 0*f + 1/8*f**2 + 1/16*f**4 + 1/6*f**3. Find p such that g(p) = 0.
-1, 0
Let r = 15 - 11. Factor 2/3*y**5 - 2/3*y + 4/3*y**r + 0 + 0*y**3 - 4/3*y**2.
2*y*(y - 1)*(y + 1)**3/3
Suppose 4*l + 2*b = 2 + 16, 2*l - 10 = -2*b. Let t be l/(-70)*(6 - 11). Solve -t*j**4 - 4/7*j**3 + 0*j + 0 - 2/7*j**2 = 0.
-1, 0
Suppose -3*g + 5*g = 18. Suppose -3*l = g, 3*r = 3*l + 2*l + 24. Factor 2/3*p**r + 16/3*p - 8/3 - 10/3*p**2.
2*(p - 2)**2*(p - 1)/3
Determine b so that 5*b**3 - 25*b - 5*b**4 + 15*b**2 + 10 + 5*b**3 - 5*b**3 = 0.
-2, 1
Suppose -5*r = -25, -4*r = 2*l - r - 25. Let j**2 - 2*j + 0*j - 4*j**3 + 6*j**5 - 7*j**4 + 10*j**3 - 4*j**l = 0. What is j?
-1/2, 0, 1, 2
Let a be (-9)/(-5)*40/12. Let t(y) be the second derivative of -1/3*y**4 + 0 + 3/10*y**5 