the first derivative of -3/4*k**4 + 0*k - 5 - 2*k**3 - 3/2*k**2. Factor y(n).
-3*n*(n + 1)**2
Let v be 8/9 + (-12)/54. Let d be 105/36 - 2/8. Let -8/3*u + v*u**2 + d = 0. What is u?
2
Let g(b) = -b**2 - b + 4. Let x(r) = 2*r**2 + 3*r - 9. Let n(o) = -o**2 - 5*o - 4. Let c be n(-3). Let a(h) = c*x(h) + 5*g(h). Factor a(l).
-(l - 2)*(l + 1)
Let z be -135 - 2 - (-2)/(-8). Let w = z + 138. Factor -w*x**2 - 1/4*x + 0 + x**3.
x*(x - 1)*(4*x + 1)/4
Let b(w) = 6*w**4 + w**3 + w**2 + 3. Suppose 9 = 4*v - 3. Let l(f) = f**4 + f**2 + 1. Let t(p) = v*l(p) - b(p). Find d, given that t(d) = 0.
-1, 0, 2/3
Factor -1/7*y**2 - 1/7*y**3 + 1/7 + 1/7*y.
-(y - 1)*(y + 1)**2/7
Let a(g) be the third derivative of g**6/900 - g**5/150 + g**4/60 + g**3/2 + 9*g**2. Let u(q) be the first derivative of a(q). Find n, given that u(n) = 0.
1
Let k(i) = -9*i**4 - 21*i**3 - 18*i**2 - 6*i - 3. Let o(s) = 9*s**4 + 20*s**3 + 17*s**2 + 6*s + 4. Let g(b) = -4*k(b) - 3*o(b). Let g(a) = 0. What is a?
-1, -2/3, 0
Let o(b) be the third derivative of 0 - 1/480*b**6 + 0*b**3 + 0*b**4 + 1/840*b**7 + 0*b**5 + 0*b - 4*b**2. Factor o(f).
f**3*(f - 1)/4
Let a(l) be the second derivative of -3/5*l**5 - 3/2*l**4 + 0 - 2*l**3 + 7*l - 3/2*l**2 - 1/10*l**6. What is f in a(f) = 0?
-1
Let n be (-3)/(-5)*20/720. Let v(k) be the third derivative of -1/6*k**4 - 2*k**2 + n*k**5 + 0 + 2/3*k**3 + 0*k. Factor v(y).
(y - 2)**2
Let o(i) = 11*i**3 + 15*i**2 + 105*i + 119. Let g(c) = -5*c**3 - 8*c**2 - 52*c - 60. Let l(j) = 9*g(j) + 4*o(j). Factor l(w).
-(w + 4)**3
Let u = 6 - 2. Let v be (u + 0)*(-2)/(-4). Suppose -p**2 + 3*p**v - 8*p**2 + 2*p**4 - 4*p = 0. What is p?
-1, 0, 2
Let d(p) be the third derivative of p**6/120 - p**5/60 - p**4/24 + p**3/6 - 5*p**2. Factor d(r).
(r - 1)**2*(r + 1)
Let i = 2 - 7. Let o = i + 10. Factor 2/3*r - 2/3*r**o + 0 + 0*r**3 - 4/3*r**2 + 4/3*r**4.
-2*r*(r - 1)**3*(r + 1)/3
Let m = -261 + 1309/5. Let v = 53/44 + -1/220. Solve m + 2/5*z**2 + v*z = 0.
-2, -1
Suppose -89*h = -65*h - 48. Let g = 214/159 + -2/159. Determine q, given that g + 14/3*q + 10/3*q**h = 0.
-1, -2/5
Suppose -3*w + 7 = -2. Let b(i) = 2*i - i**2 - 5 + 7*i**w - 11*i + 3*i**2. Let m(z) = 8*z**3 + 2*z**2 - 10*z - 6. Let x(g) = 6*b(g) - 5*m(g). Factor x(j).
2*j*(j - 1)*(j + 2)
Let q be 1/((-2)/(-14)) - 1. Let t be 2/5 - q/15. Factor -2*n**2 + 2*n - 2 + t*n - 6*n.
-2*(n + 1)**2
Let o(b) be the first derivative of -b**4/4 - b**3/3 - b**2/2 + b + 3. Let t(z) = -10*z**3 - 4*z**2 - 6*z + 4. Let w(i) = -8*o(i) + t(i). Factor w(v).
-2*(v - 2)*(v - 1)*(v + 1)
Let y(c) be the first derivative of 1/6*c**2 + 2/9*c + 1/27*c**3 + 2. Factor y(a).
(a + 1)*(a + 2)/9
Let u(f) = f**2 - 2*f - 4*f + 6 + f. Let w be u(4). Let -2 - 5*b**2 + 3*b**2 + 4*b + 0*b**w = 0. What is b?
1
Let y = 61/91 + -5/13. Find l such that -2/7*l + 2/7*l**3 + y - 2/7*l**2 = 0.
-1, 1
Let v = 5 - 2. Suppose 4*g = -v*g. Factor g + 0*c - 1/3*c**4 + 0*c**3 + 1/3*c**2.
-c**2*(c - 1)*(c + 1)/3
Let p be 2*((-1)/(-4))/(25/20). Let -1/5*n**3 + 1/5*n + p*n**2 - 2/5 = 0. Calculate n.
-1, 1, 2
Let u(q) be the first derivative of -3*q**4/2 + 2*q**3/3 + 3*q**2 - 2*q + 10. Suppose u(w) = 0. What is w?
-1, 1/3, 1
Suppose 13*j = 9*j + 16. Let y(n) be the second derivative of 0 + 1/6*n**j + 1/3*n**3 - 1/15*n**5 - n - 2/3*n**2. Factor y(l).
-2*(l - 2)*(l + 1)*(2*l - 1)/3
Let t be (6/3 + -2)/(-1). Suppose t*u + u = 4. Determine b, given that 0*b**3 + 0*b - 1/4*b**2 + 1/4*b**u + 0 = 0.
-1, 0, 1
Factor 2/7 - 2/7*d**3 - 6/7*d + 6/7*d**2.
-2*(d - 1)**3/7
Let c = -2 - -6. Suppose 3*k - 4*k + 4 = 0. Factor 2*s**2 - 2*s**k - s**4 + 0*s**2 + s**c.
-2*s**2*(s - 1)*(s + 1)
Let h(t) be the third derivative of t**6/600 + 3*t**5/100 + t**4/5 + 8*t**3/15 - 9*t**2. What is p in h(p) = 0?
-4, -1
Find d such that d**5 + 17*d**4 - 13*d**4 - 5*d**5 = 0.
0, 1
Suppose -6*z - 25 + 0*z + 4*z + 24 - z**2 = 0. Calculate z.
-1
Let l(b) be the first derivative of b**7/3360 - b**6/288 + 7*b**5/480 - b**4/32 - 2*b**3/3 - 7. Let w(y) be the third derivative of l(y). Factor w(k).
(k - 3)*(k - 1)**2/4
Factor 2/11*q**2 + 0*q + 0 + 2/11*q**3.
2*q**2*(q + 1)/11
Solve -13 + 24*l**2 + 41*l**3 - 44*l**3 - 63*l + 67 = 0.
2, 3
Let c = 1207/2205 + 2/245. Let a = -2/9 + c. Factor a*s + 1/3*s**3 + 0 + 2/3*s**2.
s*(s + 1)**2/3
Suppose 0 = h - 4, 2*y + 3*y + 2*h - 28 = 0. Let a(p) = p**2 - p. Let i(q) = 8*q**2 - 8*q + 1. Let l(c) = y*a(c) - i(c). Let l(x) = 0. Calculate x.
1/2
Let u = 27 + -9. Let f = 21 - u. Factor -2/9*m**5 + 2/3*m**4 - 4/9*m**2 - 4/9*m**f + 2/3*m - 2/9.
-2*(m - 1)**4*(m + 1)/9
Let g = 6 - 3. Suppose -9 = -g*q - 3. Factor -3*v**q + 5*v**2 - v**3 - v**2.
-v**2*(v - 1)
Let u be (-110)/(-16 + 5) - (1 - -4). Factor -2/3*v**u + 0*v + 0 + 4/3*v**3 + 2/3*v**4 + 0*v**2.
-2*v**3*(v - 2)*(v + 1)/3
Let v(l) be the first derivative of -1 - 1/3*l + 0*l**2 + 0*l**4 + 2/9*l**3 - 1/15*l**5. Factor v(x).
-(x - 1)**2*(x + 1)**2/3
Let t be (-102)/(-30) - 4/10. Suppose p = t - 0. Solve -h + h**3 - 3*h**p + 4*h**2 - 2*h + h = 0 for h.
0, 1
Let p(o) = o**2 + 13*o + 15. Let a be p(-12). Suppose 8 = a*j + j - x, j - 4*x - 2 = 0. Solve 4/3 + 2/3*g**2 - j*g = 0.
1, 2
Let h(k) be the first derivative of 3 + 2/9*k**2 + 1/18*k**4 + 0*k - 2/9*k**3. Solve h(o) = 0.
0, 1, 2
Let t(l) be the second derivative of 0*l**2 + 3/100*l**5 - 4*l - 1/10*l**4 + 0 + 0*l**3. Determine r so that t(r) = 0.
0, 2
Let k(l) be the third derivative of 1/120*l**5 + 0 + 4*l**2 + 0*l**4 - 1/12*l**3 + 0*l. Suppose k(c) = 0. What is c?
-1, 1
Let t = -3 - -8. Determine u, given that -5*u + 3*u**2 - u - 2*u**3 + 0*u**3 + t*u**3 = 0.
-2, 0, 1
Let w(q) = -5*q**5 + 50*q**4 - 50*q**3 - 30*q**2 + 75*q - 15. Let k(o) = -o**4 - o**3 + o**2 + o + 1. Let p(s) = 15*k(s) + w(s). Let p(a) = 0. What is a?
-1, 0, 2, 3
Let b(u) be the third derivative of u**5/60 - u**4/12 + u**3/6 - 5*u**2. Suppose b(r) = 0. Calculate r.
1
Suppose 2*u = 7*u - 10. Suppose u*x - 5 = -1. Suppose 12*v + 10*v**2 + v - 2*v**x + 4 + 5*v = 0. Calculate v.
-2, -1/4
Let f be (6/4)/(9/12). Let n(c) be the first derivative of 1/10*c**5 + 1/4*c**4 - 1/2*c**f + 0*c**3 - 1/2*c - 1. Let n(r) = 0. Calculate r.
-1, 1
Let t(r) be the third derivative of r**5/180 + r**4/18 + 2*r**3/9 + 5*r**2. Factor t(j).
(j + 2)**2/3
Let c(n) = 45*n**2 - 215*n + 35. Let f(y) = 5*y**2 - 24*y + 4. Let d(r) = 4*c(r) - 35*f(r). Factor d(k).
5*k*(k - 4)
Let s = 10/3659 + 3183260/25613. Let r = s + -124. Let 6/7*b**2 + 4/7*b**3 + 0*b - r = 0. Calculate b.
-1, 1/2
Let h(j) be the second derivative of -2*j**7/147 + 4*j**6/105 + 2*j**5/35 - 8*j**4/21 + 2*j**3/3 - 4*j**2/7 - 4*j. Factor h(q).
-4*(q - 1)**4*(q + 2)/7
Let u(j) be the third derivative of j**5/6 + 17*j**4/12 + 2*j**3 - 7*j**2. Factor u(n).
2*(n + 3)*(5*n + 2)
Let c be 1254/228*4*2/22. Factor o + 0 - 1/2*o**c.
-o*(o - 2)/2
Let g = -1 - 15. Let u be 4/18 + g/72. Factor 1/3*v**3 + u - 1/3*v + 0*v**2.
v*(v - 1)*(v + 1)/3
Let d = 16 - 12. Suppose 0 = -d*r + r. Determine g so that r*g + 6/7*g**3 + 0 + 2/7*g**2 - 8/7*g**4 = 0.
-1/4, 0, 1
Factor -3*r**5 + 41*r**3 - 39*r**4 - 108*r**3 - 24*r - 6*r**5 - 57*r**2 - 4.
-(r + 1)**3*(3*r + 2)**2
Let n(r) = -2*r**3 - 4*r**2 - 5*r. Let s(u) = -4*u**3 - 8*u**2 - 9*u. Let k(y) = -10*n(y) + 6*s(y). Solve k(p) = 0.
-1, 0
Factor 5*b**2 - 25*b + 30 - 13*b**2 + 5*b**3 - 2*b**2.
5*(b - 3)*(b - 1)*(b + 2)
Let k(n) be the second derivative of n**9/6048 - n**7/560 - n**6/360 + 2*n**3/3 - 6*n. Let f(b) be the second derivative of k(b). Factor f(a).
a**2*(a - 2)*(a + 1)**2/2
Let q(n) be the second derivative of n**6/540 + n**5/135 + n**4/108 + 3*n**2/2 - 2*n. Let t(a) be the first derivative of q(a). Factor t(j).
2*j*(j + 1)**2/9
Suppose -5*i = -5*j - 40, -3 = 4*i + 3*j - 0*j. Let -2*l**4 + 4/7*l**i + 0*l**2 + 0*l - 8/7*l**5 + 0 = 0. What is l?
-2, 0, 1/4
Let w be 26/105 - 4/20. Let f(s) be the third derivative of 0 - w*s**3 - 1/210*s**5 - 1/42*s**4 - 2*s**2 + 0*s. Solve f(n) = 0.
-1
Suppose -3*p + 3 = 0, 0*c - 2*c + p = -3. Let -13/3*v**2 - 4/3 - c*v**3 - 4*v - 1/3*v**4 = 0. Calculate v.
-2, -1
Suppose -4*z - 2 = -2*d, -6*d + 9*d = -3*z + 21. Let l(v) be the second derivative of 0 + 1/12*v**4 + 1/2*v**z - 1/3*v**3 + v. Factor l(x).
(x - 1)**2
Let l(q) be the first derivative of q**4/3 + q**3/3 - 2*q**2/3 - q - 5. Factor l(r).
(r - 1)*(r + 1)*(4*r +