*k = 0. Calculate k.
0, 1, 2
Suppose -1/5*b**2 - 8/5*b + 13 = 0. Calculate b.
-13, 5
Let t(v) = 2*v**3 + 72*v**2 + 516*v - 578. Let n(w) = -4*w**3 - 143*w**2 - 1031*w + 1156. Let g(y) = 6*n(y) + 11*t(y). Let g(a) = 0. Calculate a.
-17, 1
Let w(l) be the first derivative of -17 + 1/14*l**4 + 0*l**3 + 4/35*l**5 + 1/21*l**6 + 0*l + 0*l**2. Factor w(v).
2*v**3*(v + 1)**2/7
Let f = 116 - 114. Let j(w) be the first derivative of -4/3*w**3 - 15/4*w**4 + 5/6*w**6 + 5 - 2/5*w**5 + f*w**2 + 0*w. Factor j(r).
r*(r - 2)*(r + 1)**2*(5*r - 2)
Let i(v) = v**5 - v**4 - v - 1. Let y(t) = -4*t**5 + 24*t**4 + 30*t**3 + 14*t**2 + 6*t + 6. Suppose 10*f - 10 = -0*f. Let c(p) = f*y(p) + 6*i(p). Factor c(g).
2*g**2*(g + 1)**2*(g + 7)
Let h(t) be the third derivative of t**6/60 + t**5/10 - 2*t**4 + 28*t**3/3 + 67*t**2 - 1. Factor h(m).
2*(m - 2)**2*(m + 7)
Let d(o) be the second derivative of -1/54*o**4 + 0 - 100/9*o**2 - 20/27*o**3 - 24*o. Factor d(s).
-2*(s + 10)**2/9
Let r(v) be the first derivative of -5*v**4/22 + 102*v**3/11 - 1215*v**2/11 + 1350*v/11 + 236. Factor r(h).
-2*(h - 15)**2*(5*h - 3)/11
Suppose -200 = -2*n + 2*o, -o + 566 - 36 = 5*n. Let m = n - 517/5. Suppose 3/5 - m*c + 6/5*c**2 - 1/5*c**4 + 0*c**3 = 0. What is c?
-3, 1
Let o(r) = 26*r**3 - 25*r**2 - r - 6. Let d(j) = j**3 - j - 1. Let a(h) = h + 1. Let w be a(5). Let x(y) = w*d(y) - o(y). Factor x(i).
-5*i*(i - 1)*(4*i - 1)
Let x(p) be the third derivative of -1/480*p**6 + 1/32*p**4 + 0 + 1/12*p**3 + 0*p**5 + 0*p + 22*p**2. Factor x(b).
-(b - 2)*(b + 1)**2/4
Let k(q) be the first derivative of 3*q**2 + 28 + 0*q + 3/5*q**5 - 9/8*q**4 - 2*q**3 + 1/4*q**6. Suppose k(v) = 0. What is v?
-2, 0, 1
Let x = 7149 - 14297/2. Factor -1/4*r**3 - 1/4*r - x*r**2 + 0.
-r*(r + 1)**2/4
Suppose -8*j + 11*j = 7*j. Let p(h) be the third derivative of 6*h**2 - 1/20*h**5 + 1/40*h**6 - 1/8*h**4 + 0*h + j + 1/2*h**3. Factor p(r).
3*(r - 1)**2*(r + 1)
Let t(f) = -8*f**3 + 42*f**2 - 186*f + 262. Let o(s) = 15*s**3 - 83*s**2 + 373*s - 523. Let u(j) = 6*o(j) + 11*t(j). Solve u(r) = 0 for r.
2, 8
Factor -3/7*q**2 + 0 + 12/7*q.
-3*q*(q - 4)/7
Let b(q) be the third derivative of q**5/160 - q**4/16 - 3*q**3/4 - 181*q**2. Factor b(a).
3*(a - 6)*(a + 2)/8
Suppose -s + 11 = 10. Let x be 7/3 - s - 1. Factor 1/3*k**4 - 1/3*k**2 + x*k + 0 - 1/3*k**3.
k*(k - 1)**2*(k + 1)/3
Let u(a) be the third derivative of a**5/90 - a**3 + 121*a**2. Factor u(t).
2*(t - 3)*(t + 3)/3
Let g(v) be the first derivative of -v**5/4 + 5*v**4/3 - 25*v**3/6 + 5*v**2 - 15*v + 13. Let w(l) be the first derivative of g(l). Find a, given that w(a) = 0.
1, 2
Let z = 455 + -453. Factor -1/3*i**3 - 1/3*i**5 + 2/3*i**4 + 0 + 0*i + 0*i**z.
-i**3*(i - 1)**2/3
Factor 7*s**4 - 8*s**2 + 15 + 5*s**4 + 38*s**2 - 17*s**4 - 40*s.
-5*(s - 1)**3*(s + 3)
Let x be (-7)/(-84)*-6 + 3 + (-33)/18. Find b, given that 4 - 10/3*b + x*b**2 = 0.
2, 3
Let t(m) be the first derivative of 0*m**3 + 1/6*m**4 - 4 - m**2 + 4/3*m. Factor t(x).
2*(x - 1)**2*(x + 2)/3
Let w be 256/448 - 10/(-7). Let d(b) be the third derivative of 0*b + 6*b**3 + 4*b**w - b**4 + 1/15*b**5 + 0. Suppose d(t) = 0. Calculate t.
3
Let g(j) be the third derivative of j**4/24 - j**3/6 - 2*j**2. Let h(q) = 27*q**3 + 66*q**2 + 45*q + 18. Let d(w) = -6*g(w) - h(w). Solve d(m) = 0.
-1, -4/9
Let y(n) be the first derivative of -n**4/12 - n**3/9 + 2*n**2/3 + 4*n/3 + 34. Factor y(c).
-(c - 2)*(c + 1)*(c + 2)/3
Let 19626*p**3 + 929*p**4 - 5215*p + 2285*p**4 - 3641*p - 816*p + 126*p**5 - 1352 - 11942*p**2 = 0. What is p?
-13, -2/7, -2/9, 1
Let a(p) be the second derivative of -p**7/840 + p**6/90 - p**5/30 + p**3/6 + 5*p**2/2 + p - 2. Let v(o) be the second derivative of a(o). Factor v(g).
-g*(g - 2)**2
Let g(y) be the third derivative of -1/30*y**5 - 1/9*y**4 - 1/9*y**3 + 9*y**2 + 0*y + 0. Factor g(w).
-2*(w + 1)*(3*w + 1)/3
Factor -3 + f**3 + f**4 + 0*f**3 + 0*f**4 + 5*f**3 + 2*f**2 - f**5 - 5*f.
-(f - 3)*(f - 1)*(f + 1)**3
Factor -12/5*j - 3/5*j**2 + 27.
-3*(j - 5)*(j + 9)/5
Suppose -3*b + 5*z + 19 = -2*b, 2*b + 2*z - 2 = 0. Let v(w) = w**2 - 3*w - 4. Let y be v(b). Factor -p - 6*p**2 + 4*p + 3*p**3 + y*p**3.
3*p*(p - 1)**2
Let g(t) = -6*t**4 + 4*t**3 - 6*t**2 - 8*t - 8. Let m(i) = 0*i**4 + 1 - 2*i + 7*i + i**2 - 4*i + i**4. Let n(z) = -g(z) - 8*m(z). Solve n(f) = 0.
-1, 0
Suppose -m + 2*j + 17 = 5, -3*j = 12. Let a(f) be the first derivative of -9/10*f**2 + 3/5*f - 7 - 3/20*f**m + 3/5*f**3. Factor a(n).
-3*(n - 1)**3/5
Let l = -16 - -20. Solve 5 + 16*b**2 + 24*b - 11*b**3 - 12 + 4*b**l - 13 - 13*b**3 = 0 for b.
-1, 1, 5
Let y = 613/13 - 5897/52. Let u = -66 - y. What is g in 0*g**4 + 0 + 0*g**2 + 0*g - 1/4*g**5 + u*g**3 = 0?
-1, 0, 1
Let u(n) be the second derivative of -1/120*n**6 - 1/24*n**4 - n - 1/20*n**5 + 1/6*n**3 + 3/8*n**2 + 0. Determine g, given that u(g) = 0.
-3, -1, 1
Let k(l) be the third derivative of 0 - 9/32*l**4 + l**3 - 12*l**2 + 1/80*l**5 + 0*l. Factor k(z).
3*(z - 8)*(z - 1)/4
Let h(n) = -6*n**4 + 18*n**3 - 38*n**2 + 26*n + 15. Let a(l) = l**4 + l**3 - l**2 - l - 3. Let s(i) = -5*a(i) - h(i). Find q such that s(q) = 0.
0, 1, 21
Let z(n) be the third derivative of n**6/60 - n**5/6 + n**4/3 + 58*n**2. What is s in z(s) = 0?
0, 1, 4
Let m be (-1541)/(-9) + -3 - 3. Let j = m + -165. Solve 2/9*p**3 + 4/9*p**2 - 4/9 - j*p = 0.
-2, -1, 1
Determine w, given that -5*w**2 + 7254 - 7254 + 245*w = 0.
0, 49
Let r be (-2)/(-3)*(1 - -2). Suppose -3*m = -r*m - 60. Find o such that -m*o**2 - 3*o**5 - 14*o**4 - o - 2*o - 21*o - 54*o**3 - 7*o**4 = 0.
-2, -1, 0
Find r such that 6/5*r**3 + 0*r - 27/5*r**2 + 12/5 + 9/5*r**4 = 0.
-2, -2/3, 1
Let l be (1*-1)/4 + (-195)/(-60). Let v be 25/(-30)*(l - (-57)/(-15)). Factor v*k + 0 + 1/3*k**2.
k*(k + 2)/3
Suppose -69 = -y + 5*i - 97, -4*y + i = -2. Factor 10/9*g + 2/3 - 2/9*g**3 + 2/9*g**y.
-2*(g - 3)*(g + 1)**2/9
Let o(z) be the first derivative of -z**5/60 - z**4/8 + 2*z**3/3 - z**2 + 8. Let w(u) be the second derivative of o(u). Suppose w(y) = 0. What is y?
-4, 1
Let x(y) = -y**3 - 7*y**2 + y + 8. Let g be x(-7). Let q be 28/260 - g/(-5). Let 2/13*i**3 - 4/13 + q*i**2 - 2/13*i = 0. Calculate i.
-2, -1, 1
Let y(t) be the second derivative of t**5/80 - t**4/24 + t**3/24 + 17*t**2/2 - 46*t. Let w(i) be the first derivative of y(i). Factor w(l).
(l - 1)*(3*l - 1)/4
Let d(b) = -8*b - 6. Let q be d(-1). Let g(p) be the first derivative of 0*p + 0*p**3 - 1/15*p**5 + 0*p**4 + 0*p**q - 1. Factor g(o).
-o**4/3
Let c be 12/(-9)*42/(-4). Suppose -4*s + 4 = -3*n - 20, 0 = 2*s + 5*n + c. What is w in -5*w**3 + 3*w + w**3 + w**s = 0?
-1, 0, 1
Suppose 3*h = 3*a - h - 50, a = -4*h - 10. Let o be -2 + (-3 - -5) + 5/a. Let -y - 1/4*y**5 + 3/4*y**3 + 0 + o*y**4 - y**2 = 0. What is y?
-1, 0, 2
Let v(k) be the first derivative of -24 - 5/9*k**3 - 1/15*k**5 + 1/2*k**2 + 11/36*k**4 - 2/9*k. Factor v(b).
-(b - 1)**3*(3*b - 2)/9
Suppose 0 = 4*h + 8 - 112. Determine l, given that -6*l**3 + h*l**2 - 9*l**4 - 3*l**5 - 26*l**2 = 0.
-2, -1, 0
Let q(n) = n - 8. Let f be q(8). Let h(b) be the third derivative of -b**2 - 1/30*b**5 + 0 + 0*b + f*b**3 + 0*b**4. Factor h(m).
-2*m**2
Solve 169*v - 3*v**2 + 3685 - 8020 - 343*v - 4740 - 156*v = 0.
-55
Let h(b) = b**2 - 5*b + 6. Let j(o) = 2*o**2 - 5*o + 7. Suppose -2*d + 0 + 12 = 0. Let p(t) = d*j(t) - 7*h(t). Factor p(r).
5*r*(r + 1)
Suppose -2240*a = -2216*a - 48. Factor -27/5*z**4 - 96*z**a + 96/5*z + 0 + 222/5*z**3.
-3*z*(z - 4)**2*(9*z - 2)/5
Factor -2/23*z**3 - 24/23*z**2 - 96/23*z - 128/23.
-2*(z + 4)**3/23
Let k(z) be the first derivative of 7*z**3/6 - 23*z**2/4 + 3*z - 73. Factor k(b).
(b - 3)*(7*b - 2)/2
Factor -2/7*x**3 + 20/7*x - 1/7*x**4 + 12/7 + x**2.
-(x - 3)*(x + 1)*(x + 2)**2/7
Let m = -17 + 15. Let o(k) = -k**3 - k**2 - k - 3. Let y(u) = 4 - 8 - u**3 + 0*u**3. Let i(x) = m*y(x) + 3*o(x). Solve i(g) = 0 for g.
-1
Suppose -3*x - 2*u - 6 = 0, 6 = 3*x - 0*x - 2*u. Let h(o) be the second derivative of 0*o**2 + 1/9*o**4 + 1/30*o**5 + 1/9*o**3 + 6*o + x. Factor h(v).
2*v*(v + 1)**2/3
Let s(t) = -t**3 + t**2 + 1. Let v(u) = -3*u + 6*u - 4*u**3 - 5*u + 8*u**2 + 4. Let z(m) = -12*s(m) + 2*v(m). What is d in z(d) = 0?
-1, 1
Let p = 21533/4 + -5382. Determine b, given that -5/2*b**2 + 15/4*b - p = 0.
1/2, 1
Let o(z) = 10*z + 252. Let x be o(-25). Factor -1/5 + 1/5*n