1/9)/(22/(-24) - p). Factor b*f**3 - 4*f + 0*f**2 + 8/3.
4*(f - 1)**2*(f + 2)/3
Let 68*v - 34/9*v**3 - 36 - 1/9*v**4 - 253/9*v**2 = 0. What is v?
-18, 1
Let g be (-8)/6*36/(-24). Let a(q) be the first derivative of 0*q - 9 - 5/3*q**3 + 15/2*q**g. Factor a(c).
-5*c*(c - 3)
Let n(r) be the first derivative of r**8/140 + r**7/210 - r**6/30 - r**5/30 + 10*r**3 + 23. Let m(v) be the third derivative of n(v). Factor m(j).
4*j*(j - 1)*(j + 1)*(3*j + 1)
Let z(w) be the third derivative of -73*w**5/15 - 71*w**4/6 + 4*w**3/3 + 142*w**2. Factor z(l).
-4*(l + 1)*(73*l - 2)
Let h(k) be the third derivative of -k**5/60 - 15*k**4/4 - 675*k**3/2 - 7*k**2 - 13*k. Factor h(q).
-(q + 45)**2
Let u(d) be the first derivative of d**6/9 - 8*d**5/3 - 285. Factor u(x).
2*x**4*(x - 20)/3
Suppose -8*w**3 - 15*w + 5*w**2 - 5*w**4 + 10*w + 15*w - 2*w**3 = 0. Calculate w.
-2, -1, 0, 1
Let u(k) = 10*k**4 + 26*k**3 + 60*k**2 + 2*k + 28. Let l(m) = m**4 + m**2 - m + 2. Let b(i) = 28*l(i) - 2*u(i). Suppose b(o) = 0. What is o?
-1, -1/2, 0, 8
Let b(x) = -7*x**2 - x. Let y be b(-1). Let m be (-3 - y - 5) + 2. Solve -6*q**3 + 3*q**5 + 2*q + m*q + q = 0.
-1, 0, 1
Let u be ((-96)/36)/((-2)/147). Find l such that -90*l**3 + 36*l**2 - 16*l + 60*l**2 + 6*l**3 - u*l**4 = 0.
-1, 0, 2/7
Let r = 1 - -1. Let i be ((-14)/(-21))/((-49)/(-21)). Factor -2/7*l + 0*l**r + 0 + i*l**3.
2*l*(l - 1)*(l + 1)/7
Let c(r) be the first derivative of r**4/2 + 16*r**3/3 - 9*r**2 - 375. Factor c(a).
2*a*(a - 1)*(a + 9)
Determine b, given that 5/3*b**5 + 0*b - 20*b**2 + 0 - 35/3*b**4 + 80/3*b**3 = 0.
0, 2, 3
Let j(z) be the first derivative of -z**4/26 - 170*z**3/39 + z**2/13 + 170*z/13 + 375. Factor j(x).
-2*(x - 1)*(x + 1)*(x + 85)/13
Let d(x) be the second derivative of -8/3*x**3 - 2*x**2 + 0 - 30*x - 7/12*x**4. Solve d(j) = 0.
-2, -2/7
Suppose -4*f - v + 3 = -12, 3*f - 12 = -v. Let z be f*(-16)/(-18) + 3/9. Factor 0*g**2 + 0 + 0*g - 1/4*g**z + 1/4*g**4.
g**3*(g - 1)/4
Suppose -4*i = -10 - 2. Let n(k) = k**3 - 18*k**2 - 17*k + 26. Let t(a) = -6*a**2 - 6*a + 9. Let r(q) = i*n(q) - 8*t(q). Let r(f) = 0. What is f?
-1, 1, 2
Solve -5*f**2 - 351*f**4 + 3*f**2 + 350*f**4 - 3*f**3 = 0.
-2, -1, 0
Let p be 0 + 0 - 27/((-4455)/30). Solve -10/11*o + p*o**2 + 0 = 0.
0, 5
Let d be ((-2)/(-2))/(35/45). Let q = 5/66 - -163/462. Determine w so that 0 + q*w**3 + d*w**2 + 6/7*w = 0.
-2, -1, 0
Suppose 33*m + 17*m = 0. Let z(j) be the first derivative of m*j + 1/8*j**2 - 1 + 1/4*j**3 + 3/16*j**4 + 1/20*j**5. Factor z(i).
i*(i + 1)**3/4
Let u(r) be the second derivative of -3*r**5/20 - 4*r**4 - 26*r**3 - 72*r**2 + 38*r + 1. Factor u(p).
-3*(p + 2)**2*(p + 12)
Suppose 4*i - 9 = 3, -2*i - 19 = -5*l. Factor -l*v**5 - 15*v**3 - 7*v**4 - 4*v**4 - 5*v**2 - 4*v**4.
-5*v**2*(v + 1)**3
Let k(x) be the first derivative of -3*x**5/5 - 45*x**4/2 - 249*x**3 - 462*x**2 + 1764*x + 287. Factor k(y).
-3*(y - 1)*(y + 3)*(y + 14)**2
Factor -4*w**2 - 303*w**4 + 4 + 305*w**4 - 2.
2*(w - 1)**2*(w + 1)**2
Suppose 0 = 6*p - p - 50. Suppose -3*k = -x - 2, 0 = k + 5*x + p. Factor k + 1/4*c - 1/4*c**2.
-c*(c - 1)/4
Let z = -1601 + 4804/3. Let g(u) be the first derivative of z*u**3 - 1/12*u**4 - 4/3*u + 0*u**2 + 3. Factor g(b).
-(b - 2)**2*(b + 1)/3
Suppose -10*x - 21 = -211. Suppose g - 29 = 5*t, 2*g = 2*t + x - 1. What is h in -8/9*h**g - 2/9*h**5 - 8/9*h**2 - 4/3*h**3 - 2/9*h + 0 = 0?
-1, 0
Let a = -238 + 24991/105. Let f(u) be the third derivative of 1/30*u**5 + 0 + 0*u**3 + 0*u**4 - 3*u**2 - 1/30*u**6 + a*u**7 + 0*u. Factor f(n).
2*n**2*(n - 1)**2
Let d(x) be the third derivative of x**7/210 - x**6/30 + x**5/30 + x**4/6 - x**3/2 - 14*x**2 + 9. Factor d(l).
(l - 3)*(l - 1)**2*(l + 1)
Let c(z) be the first derivative of -1/9*z**2 + 0*z**3 - 7 + 1/54*z**4 - 3*z. Let l(m) be the first derivative of c(m). Factor l(f).
2*(f - 1)*(f + 1)/9
Let u(j) be the third derivative of 2*j**7/105 + j**6/5 - 8*j**5/15 - j**4 + 14*j**3/3 + 10*j**2 - 2*j. Factor u(o).
4*(o - 1)**2*(o + 1)*(o + 7)
Let o(s) = 4*s**4 - 4*s**3 - s**2 - 7*s + 19. Let w(x) = -2*x**4 + 2*x**3 + 4*x - 10. Let l(j) = -6*o(j) - 11*w(j). Factor l(n).
-2*(n - 2)*(n - 1)*(n + 1)**2
Let i = 82208/68515 + 2/13703. Factor -3*m**3 - 12/5*m**2 - i*m**4 - 3/5*m + 0.
-3*m*(m + 1)**2*(2*m + 1)/5
Let d(t) be the second derivative of t**4/24 - t**3/3 + t**2 - 7*t + 11. Factor d(s).
(s - 2)**2/2
Let l(u) be the third derivative of 0*u - 4*u**2 - 1/27*u**3 - 1/270*u**5 + 1/54*u**4 + 0. Determine z so that l(z) = 0.
1
Let k = 160 + -148. Let w = k - 10. Determine v so that 3/2*v**3 + 3/2 - 3/2*v**w - 3/2*v = 0.
-1, 1
Suppose -36*l = 217*l + 158*l - 822. Suppose 0 - 3/2*o + 3/2*o**l = 0. What is o?
0, 1
Let j(b) be the third derivative of b**8/181440 + b**7/11340 + b**6/2160 + 7*b**5/60 + 8*b**2. Let y(q) be the third derivative of j(q). Factor y(r).
(r + 1)*(r + 3)/9
Let a(q) be the third derivative of -q**8/1680 - q**7/210 - q**6/360 + q**5/20 + 17*q**3/3 - 2*q**2. Let r(s) be the first derivative of a(s). Factor r(k).
-k*(k - 1)*(k + 2)*(k + 3)
Let x(z) be the first derivative of z**4/20 + 367. Factor x(o).
o**3/5
Let b = 4349/27 + -161. Let t = b + 44/135. Factor 0 + 0*r + 4/5*r**3 + t*r**5 + 0*r**2 - 6/5*r**4.
2*r**3*(r - 2)*(r - 1)/5
Solve -14/9*i - 2/9*i**3 - 2/3 - 10/9*i**2 = 0 for i.
-3, -1
Let c(k) be the second derivative of -k**4/12 - 3*k**3/2 + 11*k**2 + 5*k - 4. Let c(j) = 0. Calculate j.
-11, 2
Let 38/3*a + 0 + 1/3*a**2 = 0. What is a?
-38, 0
Solve -72*m**2 - 275*m**3 + m**5 + 132*m**4 - 17*m**5 - 20*m**5 + 76*m**4 - m**3 = 0 for m.
-2/9, 0, 3
Let v(i) be the third derivative of 16/175*i**7 - 9/25*i**6 + 0 + 0*i**3 + 16/25*i**5 - 2/5*i**4 + 21*i**2 - 1/112*i**8 + 0*i. Factor v(g).
-3*g*(g - 2)**3*(5*g - 2)/5
Let h(q) be the second derivative of -q**4/3 - 4*q**3 - 172*q. Determine p so that h(p) = 0.
-6, 0
Let z = -12 + 20. Suppose 0*n = 4*n - z. Find r such that 2*r - 4*r**n + 14*r**3 - 6*r**2 + 0*r**2 - 6*r**4 = 0.
0, 1/3, 1
Suppose -11 = -5*z + 4, 5*z + 5 = x. Suppose 0 = -d - 3*d + x. Factor -2*m**2 - 2*m - 4*m**3 + 3*m + 2*m + m**d + 2.
(m - 2)*(m - 1)*(m + 1)**3
Let t(a) be the first derivative of -13*a + 20/3*a**3 + 9/20*a**6 + 6*a**4 + 4*a**2 + 27/10*a**5 + 5. Let i(o) be the first derivative of t(o). Factor i(f).
(f + 2)*(3*f + 2)**3/2
Let l(r) be the second derivative of r**4/6 + 14*r**3/3 - 80*r. Determine v so that l(v) = 0.
-14, 0
Let v = -38 + 54. Suppose 76 - 24 = 3*l + n, 0 = -2*l + 4*n + v. Factor -4*b**5 - 4*b + l*b**4 + 2*b + 12*b**3 + 10*b**5.
2*b*(b + 1)**3*(3*b - 1)
Let z(q) be the second derivative of -1/60*q**5 + 0 + 0*q**3 - 1/12*q**4 - q**2 - 4*q. Let k(i) be the first derivative of z(i). Factor k(x).
-x*(x + 2)
Let m(v) be the third derivative of -1/4*v**4 + 1/4*v**3 + 16*v**2 + 3/40*v**5 + 0 + 0*v. Factor m(a).
3*(a - 1)*(3*a - 1)/2
Let g(j) be the third derivative of -j**8/168 + j**7/105 + j**6/12 + j**5/10 + 65*j**2. What is v in g(v) = 0?
-1, 0, 3
Suppose 2 = 2*o - 0. Let d be o/(3/(15 - 3)). Factor -6*x**4 + 10*x**d - 3*x**5 + 8*x + 12*x**3 - 20*x**2 - x**5.
-4*x*(x - 1)**3*(x + 2)
Let v = 311/372 - 8/93. Determine b so that 1/4*b**2 - v*b + 1/2 = 0.
1, 2
Let m(f) be the third derivative of 0*f**3 + 1/40*f**6 + 1/20*f**5 + 0*f + 13*f**2 + 0 + 0*f**4. Factor m(j).
3*j**2*(j + 1)
Let a(o) be the first derivative of o**5/240 - 5*o**4/96 + 18*o**2 - 28. Let v(u) be the second derivative of a(u). Factor v(c).
c*(c - 5)/4
Let p(v) be the second derivative of 5*v**7/168 + 77*v**6/24 + 759*v**5/8 + 1615*v**4/12 - 1805*v**3/3 + 373*v. Determine q so that p(q) = 0.
-38, -2, 0, 1
Suppose 0 = -10*d + 12*d - 4. Factor 8*c**2 - 2*c**2 + 2*c**2 - 4*c**d.
4*c**2
Suppose 457 - 461 = -2*h. Let x(q) be the third derivative of -7*q**h + 0*q**4 + 0*q - 1/105*q**7 + 1/30*q**5 + 0*q**3 + 0 + 0*q**6. Factor x(w).
-2*w**2*(w - 1)*(w + 1)
Let z = 10174/15 - 678. Determine o so that -2/15*o**3 + 16/15 - z*o**2 + 8/15*o = 0.
-2, 2
Suppose 3 = 2*g - 9*i + 8*i, -g - i - 3 = 0. Solve -1/2*q**4 + 0 + 0*q**3 + 1/4*q**5 + g*q + 0*q**2 = 0.
0, 2
Suppose 12 = 4*m, 5*v - 2*m = 13 + 6. Suppose -v*l**4 + 2*l**4 + 77*l**3 - 4*l**2 - 2*l**2 - 68*l**3 = 0. Calculate l.
0, 1, 2
Let q(k) = -10*k**3 + 4*k. Let j(h) = -21*h**3 + h**2 + 9*h. Let o = 33 + -22. Suppose 0 = 4*p + 41 + o. Let i(v) = p*q(v) + 6*j