e the second derivative of -8*b + 0*b**3 - k*b**4 + 1/150*b**5 + 0 + 0*b**2. Factor w(q).
2*q**2*(q - 1)/15
Let z be (-1 - (-486)/8)*(6 + -7). Let g = 60 + z. Let 0*v + 0 + g*v**2 = 0. Calculate v.
0
Suppose 4*g + 12 = -5*m + m, -g - 3 = 0. Suppose -d - 6*d = m. Let 0 + 0*i**2 - 2/3*i**5 + 0*i**3 - 2/3*i**4 + d*i = 0. Calculate i.
-1, 0
Let w(p) = 8*p**3 - 8*p**2 + 4. Let u be (4/(-5))/((-2)/(-5)). Let v(z) = z**3 + z**2 - z + 1. Let i(a) = u*v(a) + w(a). What is t in i(t) = 0?
-1/3, 1
Let u be 232/28 - ((-12)/14)/(-3). Factor 0 - 8 - 2*l**2 + u + 2*l.
-2*l*(l - 1)
Let f(r) = 16*r**4 - 20*r**3 - 56*r**2 - 12*r. Let y(l) = -l**4 - 2*l. Let q(b) = -2*f(b) - 36*y(b). Factor q(u).
4*u*(u + 2)**2*(u + 6)
Suppose 4*p + 45 = -0*p + z, 12 = -4*z. Let w = -6 - p. Factor -3*n**5 + w*n - 5*n - 5*n + 8*n**3 - n**5.
-4*n*(n - 1)**2*(n + 1)**2
Let o(c) be the first derivative of c**4/2 + 20*c**3/3 - c**2 - 20*c - 90. Solve o(n) = 0.
-10, -1, 1
Let p(l) = 9*l**2 - 9*l + 4. Let o(q) = 8*q**2 - 8*q + 3. Let n(m) = -m**2 - 2*m - 3. Let t be n(-2). Let g(s) = t*p(s) + 4*o(s). Factor g(v).
5*v*(v - 1)
Let s(r) = 6*r**4 + 111*r**3 - 54*r**2 - 363*r + 336. Let g(w) = w**4 + 16*w**3 - 8*w**2 - 52*w + 48. Let t(v) = -27*g(v) + 4*s(v). Let t(q) = 0. What is q?
-2, 2
Let h(o) be the first derivative of -o**6/6 + 6*o**5/5 - 5*o**4/4 - 16*o**3/3 + 6*o**2 + 16*o - 61. Factor h(g).
-(g - 4)*(g - 2)**2*(g + 1)**2
Suppose 0 = 2*f - 3*f - 32. Let i be 6/(-4)*f/24. Factor -9*c**2 + 5*c**2 + 7*c + 4*c**3 - 3*c**3 + 9*c**i + 3.
(c + 1)**2*(c + 3)
Factor 93*r**4 + 1500*r + 1092*r + 0*r**5 - 3744*r**2 + 0*r**4 - 24*r**4 + r**5 + 1082*r**3.
r*(r - 2)*(r - 1)*(r + 36)**2
Let k be (-4 - -1) + 54/14. Suppose -3*f = -9 + 3. Factor 2/7*z - 2/7*z**3 - k*z**f + 4/7 + 2/7*z**4.
2*(z - 2)*(z - 1)*(z + 1)**2/7
Determine m, given that -6/11*m - 27/11 + 1/11*m**2 = 0.
-3, 9
Let t(p) be the second derivative of 2*p**5/35 - 107*p**4/42 - 139*p**3/21 - 4*p**2 + 116*p. Determine j so that t(j) = 0.
-1, -1/4, 28
Let v(l) be the third derivative of l**6/60 + l**5/30 - l**4/3 - 4*l**3/3 - 5*l**2 - 1. Factor v(a).
2*(a - 2)*(a + 1)*(a + 2)
Let p(v) be the second derivative of -2*v**6/45 + 2*v**5/15 + 64*v**4/9 + 320*v**3/9 + v + 144. Factor p(l).
-4*l*(l - 10)*(l + 4)**2/3
Factor 315/4 - 2145/4*s + 950*s**2 - 125*s**3.
-5*(s - 7)*(10*s - 3)**2/4
Let r(z) be the third derivative of 0*z + 0*z**3 + 2*z**2 - 1/420*z**7 - 1/160*z**6 + 0 + 1/1344*z**8 + 1/60*z**5 + 1/24*z**4. Solve r(f) = 0.
-1, 0, 2
Let q be -2 - 58/2*9/(-9). Let f = 30 - q. Let -28/5*z**2 + 8/5*z**f + 4/5 + 24/5*z**4 - 14/5*z**5 + 6/5*z = 0. What is z?
-1, -2/7, 1
Let c be ((-6)/(-4))/(9/420*15) + -4. Let l be (-2 - 30/(-9)) + 2. Factor 2/3*x + 0 - 2*x**3 - 4/3*x**5 + c*x**2 - l*x**4.
-2*x*(x + 1)**3*(2*x - 1)/3
Let l(s) = -4*s**4 - 10*s**3 - 11*s**2 - 5*s. Let u(o) = -11*o**4 - 29*o**3 - 33*o**2 - 15*o. Let p(n) = 8*l(n) - 3*u(n). Determine h so that p(h) = 0.
-5, -1, 0
Suppose 0 = -11*y + 12*y + 48. Let r be ((-4)/y)/((-1)/(-9)). Factor 0 - 1/4*d**5 - r*d**3 - 1/4*d**2 - 3/4*d**4 + 0*d.
-d**2*(d + 1)**3/4
Let m(x) be the first derivative of x**6/360 + x**5/90 + x**4/72 + 2*x**2 + 5. Let n(i) be the second derivative of m(i). Factor n(s).
s*(s + 1)**2/3
Let t = -15 + 20. Factor -w + 0 + 4*w**2 + t*w + 1 - 9.
4*(w - 1)*(w + 2)
Let -1/3*y**2 + 0*y + 0 + 1/6*y**3 + 1/6*y**4 = 0. What is y?
-2, 0, 1
Let b(n) be the third derivative of -n**6/200 - n**5/10 - 3*n**4/10 + 36*n**3/5 - 649*n**2. Factor b(d).
-3*(d - 2)*(d + 6)**2/5
Suppose -4*f + 31 = b - 5, 0 = b. Suppose -4*s + f*s = 2*v - 2, 0 = -5*s - 2*v + 2. Find u such that s - 2/7*u - 4/7*u**2 - 2/7*u**3 = 0.
-1, 0
Suppose -2/11*d**4 + 0 + 4/11*d + 8/11*d**3 - 10/11*d**2 = 0. Calculate d.
0, 1, 2
Let a(y) be the second derivative of y**6/45 + y**5/10 - 5*y**4/9 - 101*y. Factor a(l).
2*l**2*(l - 2)*(l + 5)/3
Factor -8*z**4 + 8*z**3 - 11*z**3 - 16*z - 2*z**5 - 2*z**5 + 15*z**3 + 16*z**2.
-4*z*(z - 1)**2*(z + 2)**2
Find o such that 168/23*o + 2/23*o**3 - 32/23*o**2 - 288/23 = 0.
4, 6
Solve -88/7*v**2 - 122/7*v**4 - 32/7*v + 32*v**3 + 0 + 18/7*v**5 = 0.
-2/9, 0, 1, 2, 4
Let y = 18 + 10. Let a be y/21 + (-10)/(-6). Factor -2 + 0*q**2 + 4*q + 2*q**2 - 2*q**a - 3*q + q**3.
-(q - 2)*(q - 1)*(q + 1)
Let b be 1/(2 - -1) - 1540/4704. Let h(x) be the second derivative of 0 + 0*x**2 + b*x**7 - 1/48*x**4 + 1/120*x**6 + 2*x - 1/80*x**5 + 0*x**3. Solve h(o) = 0.
-1, 0, 1
Let a(t) = -t**2 - 2*t + 1. Let s(z) = 2*z - 1. Let k(l) = -a(l) - 2*s(l). Factor k(j).
(j - 1)**2
Let k = -286 + 5721/20. Let z(t) be the third derivative of k*t**5 + 2*t**2 + 0*t - 1/4*t**4 + 0 + 1/2*t**3. Factor z(p).
3*(p - 1)**2
Solve 2473 - 5*c**2 - 3202 + 4*c**2 - 54*c = 0.
-27
Let f(s) be the second derivative of -8*s**7/21 + 2*s**6/15 + 11*s**5/5 + 2*s**4 + 363*s. Solve f(c) = 0.
-1, -3/4, 0, 2
Let l(w) = -4*w**4 + 4*w**3 - 12*w**2 - 8*w + 12. Let z(p) = 10*p**4 - 8*p**3 + 24*p**2 + 17*p - 25. Let a(u) = -9*l(u) - 4*z(u). Factor a(y).
-4*(y - 1)**2*(y + 1)*(y + 2)
Determine z, given that 651*z - 5*z**2 - 1319*z - 27 + z**3 + 635*z = 0.
-3, -1, 9
Let f(t) be the second derivative of 1/16*t**2 + 0 + 0*t**3 - 1/48*t**4 - 15*t + 1/240*t**6 + 0*t**5. Factor f(a).
(a - 1)**2*(a + 1)**2/8
Let n(g) = -2*g**4 - 20*g**3 - 22*g**2 + 20*g + 12. Let d(a) = -3*a**4 - 21*a**3 - 23*a**2 + 21*a + 10. Let c(r) = -3*d(r) + 4*n(r). Let c(h) = 0. Calculate h.
-1, 1, 18
What is u in 17 + 255*u**4 - 10*u**2 - 5 + 155*u**3 - 12 = 0?
-2/3, 0, 1/17
Let b(v) = v**2 + 23*v - 20. Let g be b(-8). Let f be (-75)/g - 4/14. Solve -3/4*a**2 + 0*a**3 - 1/2*a + f*a**4 + 0 = 0.
-1, 0, 2
Suppose 0 = -4*n + 5*p + 399, -2*n + 2*p = -271 + 69. Factor -5*b - n - 5*b**2 + 50*b + 36.
-5*(b - 7)*(b - 2)
Let c(a) = -a**2 - 20*a + 26. Let j be c(-18). Solve 60*z - j*z + 0*z**3 + z**2 + z**3 = 0 for z.
-2, 0, 1
Let t(g) be the third derivative of -g**8/168 - 5*g**7/168 - 19*g**6/480 - g**5/120 - 76*g**2. Find x, given that t(x) = 0.
-2, -1, -1/8, 0
Let k(o) be the third derivative of o**5/210 + 25*o**4/84 - 187*o**2. Factor k(m).
2*m*(m + 25)/7
Let m(u) = 45*u + 5. Let b be m(-4). Let j be (4/(-35) - 0)/(70/b). Factor 6/7*t**3 + 0 + 2/7*t + 6/7*t**2 + j*t**4.
2*t*(t + 1)**3/7
Suppose -21/4*g**5 - 21*g + 3/2*g**4 + 105/4*g**3 - 15/2*g**2 + 6 = 0. What is g?
-2, -1, 2/7, 1, 2
Let k(v) be the second derivative of 0 - 1/3*v**4 + 0*v**3 - 34*v + 2*v**2. Solve k(f) = 0.
-1, 1
Find t such that 0 - 90*t**3 - 65/3*t**4 - 280/3*t - 460/3*t**2 - 5/3*t**5 = 0.
-7, -2, 0
Let t(v) be the second derivative of v**9/25200 + v**8/5600 - v**4/4 + 8*v. Let w(p) be the third derivative of t(p). Find s, given that w(s) = 0.
-2, 0
Find d, given that -617*d**2 + 468*d**3 + 96*d**4 - 735*d**2 + 610*d**5 - 606*d**5 = 0.
-13, 0, 2
Let x(c) be the third derivative of 0*c**3 + 1/6*c**5 + 0 + 0*c**4 + 1/24*c**6 + 42*c**2 + 0*c. Let x(f) = 0. Calculate f.
-2, 0
Suppose -3*b = 4*b. Suppose -6*q + 30 - 6 = b. Solve -112*l**q - 8*l - 25*l**3 + 5*l**3 - 48*l**3 + 16*l**3 + 52*l**2 = 0.
-1, 0, 1/4, 2/7
Suppose -3*s + 4*s - 15 = -4*k, 9 = k - 5*s. Let a be (-3)/(-1 + -2)*k. Factor 12*h + a + h**2 - 16*h + 0.
(h - 2)**2
Suppose -3*o + 3 = -2*f, 577 - 553 = 3*o + 5*f. Factor -6/7 + 12/7*w**o - 2/7*w**4 + 20/7*w - 24/7*w**2.
-2*(w - 3)*(w - 1)**3/7
Let f(q) = -q**3 + 5*q**2 + 15*q - 7. Let s be f(7). Let w(p) be the first derivative of -2/5*p + 1 + 2/15*p**3 + s*p**2. Suppose w(u) = 0. What is u?
-1, 1
Let h(z) = -2*z**3 + 4*z**2 - 3*z - 4. Let k(b) = b**3 - b**2 + b + 1. Let o(m) = -6*h(m) - 15*k(m). Factor o(q).
-3*(q - 1)*(q + 1)*(q + 3)
Let c = -21 - -23. Find g such that 39*g**2 - 24*g**2 - 5*g**3 + c - 2 = 0.
0, 3
Suppose 3*l - 6 = l + 5*p, 0 = 5*p. Factor -24*o**2 + 8*o**4 + 10*o + 3 + 2 - 1 + 2*o**l.
2*(o - 1)**2*(o + 2)*(4*o + 1)
Let w(z) be the third derivative of z**5/270 + 17*z**4/54 + 64*z**3/27 - 41*z**2 - 6. Factor w(u).
2*(u + 2)*(u + 32)/9
Determine k, given that -603/7*k**4 + 300/7 + 6227/7*k**2 + 2720/7*k + 149/7*k**3 - 81/7*k**5 = 0.
-5, -2/9, 3
Let i(l) = -l**2 + 4*l + 32. Let f be i(-3). Factor k + k**2 - 7 + f - 4.
k*(k + 1)
Let z(w) = -15*w**2 - 165*w + 156. Let q(i) = -3*i**2 - 33*i + 31. Let o(d) = 24*q(d) - 5*z(d). Determine k so that o(k) = 0.
-12, 1
Factor -1/5*q**4 - q**3 - 12/5 + 