p**5/45 - 13*p**2. Factor q(j).
-4*j**2*(j + 2)*(4*j + 1)/3
Let v be 7/(-3)*(-1017)/1582. Let 2*b + v + 2/3*b**2 = 0. What is b?
-3/2
Let y(u) be the second derivative of -7*u**5 - 31*u**4/3 + 16*u**3/3 + 8*u**2 - 5*u. Solve y(s) = 0.
-1, -2/7, 2/5
Let w(a) be the third derivative of a**5/480 + 5*a**4/192 + a**3/12 + 4*a**2. Let w(r) = 0. Calculate r.
-4, -1
Let q(j) = -5*j**2 + 13*j**2 + 8 - j**3 + 2*j**3 + 0*j + j. Let p be q(-8). Let 9*i - 3*i**2 + p*i**2 - 5*i + i**2 = 0. Calculate i.
0, 2
Suppose 7 = 3*w + 1. Suppose s = -w*s. Factor 2/3*p**2 + s - 2*p**3 + 0*p + 4/3*p**4.
2*p**2*(p - 1)*(2*p - 1)/3
Let y be 8/3 + (-2)/(-6). Factor 5*c**4 + y*c**2 - 3*c**4 + c**4 - 6*c**3.
3*c**2*(c - 1)**2
Factor -7*n**4 - 4*n**5 + 6*n**2 + 28*n - 24*n**3 - 3*n**2 + 5*n**2 + 12 - 13*n**4.
-4*(n - 1)*(n + 1)**3*(n + 3)
Let z be 5 - (-5 - 224/(-24)). Suppose 0 - 2/3*j**2 - 2/3*j + 2/3*j**4 + z*j**3 = 0. Calculate j.
-1, 0, 1
Let h be -7*(0 + (-8)/28). Let x(c) be the second derivative of 0*c**2 + 1/3*c**4 + 1/3*c**3 - 3/10*c**5 + 0 + h*c. Factor x(w).
-2*w*(w - 1)*(3*w + 1)
Suppose -2*m + 8 - 4 = 0. Factor -z**m + 16*z**4 - 13*z**4 - 2*z**2.
3*z**2*(z - 1)*(z + 1)
Let s(p) be the third derivative of -1/3*p**4 + 0*p - 1/30*p**5 + 0 - 4/3*p**3 + 5*p**2. Suppose s(h) = 0. Calculate h.
-2
Let r be (1 - 2)*-2 + 23. Let 8*k + 4 + 7*k**4 - 4 - 102*k**4 + 114*k**3 + r*k**5 - 52*k**2 = 0. Calculate k.
0, 2/5, 1, 2
Let c(h) be the first derivative of -64*h**5/5 + 20*h**4 + 28*h**3 + 23*h**2/2 + 2*h - 78. Factor c(k).
-(k - 2)*(4*k + 1)**3
Let j(y) be the first derivative of y**7/14 - y**6/10 - 9*y**5/20 + y**4/4 + y**3 + 2*y + 4. Let h(s) be the first derivative of j(s). Factor h(u).
3*u*(u - 2)*(u - 1)*(u + 1)**2
Let i(j) be the first derivative of 3*j**7/28 + 3*j**6/10 + 3*j**5/10 + j**4/9 - 4*j + 4. Let c(b) be the first derivative of i(b). Factor c(v).
v**2*(3*v + 2)**3/6
Suppose 4*d + 11 = 2*w + 31, -8 = -4*d - w. Suppose 2/3*f - 2*f**2 - 2/3*f**d + 2/3*f**4 + 4/3 = 0. What is f?
-1, 1, 2
Solve 0*o + 3/8*o**2 + 0 + 0*o**3 - 3/8*o**4 = 0.
-1, 0, 1
Let r(f) be the third derivative of 1/60*f**5 + 1/12*f**4 + 0 + 0*f + 1/6*f**3 - 2*f**2. Factor r(d).
(d + 1)**2
Let w be 1/(-3) + (-16)/(-3). Suppose -q = 1, -w*q - 1 = 3*n - 2. Find p, given that 5/2*p**4 + 0 - p + 4*p**3 + 1/2*p**n = 0.
-1, 0, 2/5
Let r = -2 + 2. Let d be (-102)/(-17) + -4*1. Find w such that -1/3*w**4 - 2/3*w**3 + 0*w - 1/3*w**d + r = 0.
-1, 0
Let q = 1 - 4. Let y = q + 11. Factor -2 + y*c**4 - 7*c - 3*c**4 + 7*c**3 - 3*c**2 + 0*c**2.
(c - 1)*(c + 1)**2*(5*c + 2)
Let d(q) be the third derivative of 5*q**2 + 0 + 0*q - 1/15*q**4 - 1/150*q**5 - 4/15*q**3. Determine v, given that d(v) = 0.
-2
Suppose 0*k + 3*y - 15 = 2*k, 5*k + 10 = 2*y. Let o = k + 3. Factor -1/4*t**2 + 1/4*t**4 + 1/4*t**o + 0 - 1/4*t.
t*(t - 1)*(t + 1)**2/4
Let v(l) be the second derivative of l**5/110 - l**4/22 + 17*l. Determine i so that v(i) = 0.
0, 3
Let s(v) be the first derivative of -3*v**3 - 13*v**2/2 + 3. Let z(c) = -4*c**2 - 6*c. Let r(m) = -2*s(m) + 5*z(m). Factor r(l).
-2*l*(l + 2)
Let s(t) be the first derivative of t**5/30 + t**4/6 + 2*t**2 - 7. Let p(g) be the second derivative of s(g). Factor p(b).
2*b*(b + 2)
Let n(m) = 2*m**4 - 8*m**3 + 4*m**2 + 2*m + 6. Let l(z) = z**3 - z**2 - 1. Let s be ((-18)/(-15))/((-2)/10). Let j(t) = s*l(t) - n(t). Factor j(h).
-2*h*(h - 1)**2*(h + 1)
Suppose -63 = -3*k + 6*k. Let w be (-2)/(-7) + (-15)/k. Find n such that -1 + w + n**2 + 4 - 4*n = 0.
2
Let n(q) be the third derivative of 1/630*q**7 + 1/72*q**4 + 0*q**3 + 0 - 1/180*q**5 + 0*q + 8*q**2 - 1/360*q**6. Factor n(c).
c*(c - 1)**2*(c + 1)/3
Suppose -11*v = -3*v. Suppose 0*k + 10 = 4*k + 3*g, v = -5*k + 4*g + 28. Let -3/2*z**k + 3/2*z**5 + 0 + 0*z + 0*z**3 + 0*z**2 = 0. What is z?
0, 1
Let s(h) be the first derivative of 18/5*h + 12/5*h**2 - 2/5*h**4 - 10 + 2/25*h**5 - 4/15*h**3. Solve s(z) = 0 for z.
-1, 3
Factor 0 + 15/8*z**3 - 3/2*z**4 + 3/8*z**5 - 3/4*z**2 + 0*z.
3*z**2*(z - 2)*(z - 1)**2/8
Let l = 11/282 + 6/47. Let w(q) be the first derivative of 1 + 0*q**2 + 1/8*q**4 + 0*q + l*q**3. What is u in w(u) = 0?
-1, 0
Suppose 16*r - 20 = 12. Solve 1/2*b**4 + 1/6*b**3 - 1/6*b**5 + 0*b - 7/6*b**r + 2/3 = 0.
-1, 1, 2
Let z(y) be the first derivative of y**6/2 - y**5/5 - 3*y**4/2 + 2*y**3/3 + 3*y**2/2 - y + 8. Let z(d) = 0. What is d?
-1, 1/3, 1
Factor -1/2*j**3 - 1/2*j**2 + 1/2*j + 1/2.
-(j - 1)*(j + 1)**2/2
Let d(j) = 6*j**3 - 18*j**2 + 18*j - 11. Let c(m) = -3*m**3 + 9*m**2 - 9*m + 6. Let o(v) = -5*c(v) - 3*d(v). Determine l, given that o(l) = 0.
1
Let r = 48628/3171 + -2/1057. Determine k, given that -6*k + 16*k**4 - 14/3*k**3 + 32/3*k**5 - 2/3 - r*k**2 = 0.
-1, -1/4, 1
Factor -3/2*l**4 - 9/2*l**2 + 3/2*l + 0 + 9/2*l**3.
-3*l*(l - 1)**3/2
Let i(h) = -h**3 - 10*h**2 - h - 5. Let f be i(-10). Factor -4/3*s**2 + 5/3*s**4 + 1/3*s**f - 8/3*s + 0 + 2*s**3.
s*(s - 1)*(s + 2)**3/3
Let b be (-4 + -1)*1 + 0. Let g(a) = a**2 + 5*a + 2. Let r be g(b). Factor -4*w**r + 2*w**3 - 3*w**2 + 5*w**2.
2*w**2*(w - 1)
Let g(s) be the first derivative of s**8/1680 - s**7/420 + s**6/360 - s**3 + 2. Let l(f) be the third derivative of g(f). Determine b so that l(b) = 0.
0, 1
Let c(d) be the third derivative of d**5/15 - 5*d**4/6 + 21*d**2. Solve c(v) = 0.
0, 5
Let v(m) be the first derivative of 2/3*m - 4 + 1/3*m**2 - 1/30*m**5 - 1/6*m**4 - 1/6*m**3. Factor v(k).
-(k - 1)*(k + 1)*(k + 2)**2/6
Let p(l) be the first derivative of -2*l**3/15 - 6. Factor p(q).
-2*q**2/5
Let 23/3*c + 29/3*c**2 + 2 + 4*c**3 = 0. Calculate c.
-1, -3/4, -2/3
Let w(s) be the second derivative of s**4/3 + 2*s**3/3 + 3*s. Let w(j) = 0. What is j?
-1, 0
Suppose k = 3*y + 2 - 85, -5*y - 3*k + 115 = 0. Let j be (-6)/(-39) + (-4)/y. Factor 2/3*z**2 + 4/3*z + j.
2*z*(z + 2)/3
Let o(m) be the second derivative of 1/3*m**4 - 10*m + 0 + 8*m**2 - 8/3*m**3. Let o(l) = 0. What is l?
2
Let b(i) = 8*i**3 + 21*i**2 + 29*i - 53. Let j(c) = 7*c**3 + 21*c**2 + 28*c - 52. Let v(l) = -4*b(l) + 5*j(l). Solve v(s) = 0.
-4, 1
Let q(f) be the first derivative of f**6/14 + 12*f**5/35 - 10*f**3/7 - 3*f**2/14 + 18*f/7 - 21. What is j in q(j) = 0?
-3, -2, -1, 1
Suppose -p + 17 = -16. Suppose 0 = 5*k - 3*b + 7*b - p, 3*b = k + 1. Factor 0*w - 3*w**4 + 0*w - 2*w**2 + k*w**4.
2*w**2*(w - 1)*(w + 1)
Let r be 0 - (-1 - -3 - 5). Let f = r - 1. Suppose -2/11*h**f + 0 + 0*h = 0. What is h?
0
Let q = 6/11 + -1/22. Let 0 + q*r**4 + 1/2*r**3 - 1/2*r**2 - 1/2*r = 0. What is r?
-1, 0, 1
Let s(t) be the first derivative of -10*t**6/3 - 12*t**5/5 + 2*t**4 - 1. Factor s(i).
-4*i**3*(i + 1)*(5*i - 2)
Solve -5*o**3 + 17*o**2 + 49*o - 33*o - 3 - 2*o**3 - 21*o**4 + 7 - 9*o**5 = 0.
-1, -2/3, 1
Let w(o) = -o**2 - 11*o - 14. Let j be w(-10). Let z be 28/15 + j/(-30). Factor -4*i - 5/2*i**2 - 1/2*i**3 - z.
-(i + 1)*(i + 2)**2/2
Suppose 1 + 4 + 3*k - 3*k**3 - 2 - 6*k**2 + 3 = 0. What is k?
-2, -1, 1
Let h be 1 + 9/(-3) - -6. Suppose -h*v + 10 = 5*b, -4*b - v + 4 = -2*b. Factor -4/3 + b*m + 10/3*m**2.
2*(m + 1)*(5*m - 2)/3
Suppose 2*d = g - 3, g - 5*g + 12 = 3*d. Determine a, given that -1/3*a + 1/2*a**2 + 1/3*a**3 + d - 1/2*a**4 = 0.
-1, 0, 2/3, 1
Let j(q) be the first derivative of -q**5/5 + 3*q**4/8 + q**3/6 - 3*q**2/4 + q/2 - 49. Determine m, given that j(m) = 0.
-1, 1/2, 1
Let j(p) = p**2 + 10*p + 12. Let n be j(-9). Let f(o) be the first derivative of 0*o - 3/8*o**4 + 1/8*o**2 + 1/12*o**3 - n. Factor f(m).
-m*(2*m - 1)*(3*m + 1)/4
Let r(b) = -7*b + 1. Let y be r(-2). Suppose y = h + 4*h. Let 0*w**5 + 17*w**4 + 5*w**2 + 6*w**2 + 2*w + 21*w**h + 5*w**5 = 0. What is w?
-1, -2/5, 0
Suppose 4*a + 2*s - 18 = 0, -3*a = -0*s - 3*s - 18. Let d = a - 3. Let t**2 + 1/2 - d*t**3 - 3/2*t**4 + 2*t = 0. What is t?
-1, -1/3, 1
Let i(j) = 2*j**2 - 7 + 4*j**3 - 11 - 4*j + 2 + 0. Let w(y) = -3*y**3 - 3*y**2 + 3*y + 15. Let v(k) = -6*i(k) - 7*w(k). Factor v(l).
-3*(l - 3)*(l - 1)*(l + 1)
Let p be 5*(36/15 + -2). Let x(i) = 12*i**2 - 17*i + 7. Let d(f) = 4*f**2 - 6*f + 2. Let o(r) = p*x(r) - 7*d(r). Factor o(t).
-4*t*(t - 2)
Factor -4/9*k + 0 + 8/9*k**3 + 14/9*k**2.
2*k*(k + 2)*(4*k - 1)/9
Let b(k) be the first derivative of -3*k**5/20 + k**4/2 - k**3/2 + 3*k + 6. Let t(i) be the first derivative of b(i). Factor t(a).
-3*a*(a - 1)**2
Let p = 332