5 - d = 0.
-1, 0, 1
Let i(a) be the first derivative of -47*a**3/3 - 46*a**2 + 4*a - 306. Determine t, given that i(t) = 0.
-2, 2/47
Solve -14/5*k**2 + 2/5*k**3 - 88/5*k + 0 = 0 for k.
-4, 0, 11
Factor -4/3*z**2 + 4*z + 40/3.
-4*(z - 5)*(z + 2)/3
Let d be (-39)/(-18) - (-106)/(-53). Factor -1/3*r + 1/6 + d*r**2.
(r - 1)**2/6
Let x(u) = u**3 + 14*u**2 - 2*u - 31. Let s be x(-14). Let p be s/(-132)*(8 + 0). Factor 4/11*v + p*v**2 + 0.
2*v*(v + 2)/11
Let j be ((-50)/8 + 4)/(-2 - 1). Factor -j*s**3 + 0*s**2 + 3/2*s**4 + 0 + 0*s - 3/4*s**5.
-3*s**3*(s - 1)**2/4
Let d = 1/12293 + 73751/86051. Factor 15/7*w**3 + 0 - d*w**2 + 0*w.
3*w**2*(5*w - 2)/7
Let 4*g**3 + 8/9*g**2 + 2/9*g**5 - 8/3 - 38/9*g + 16/9*g**4 = 0. Calculate g.
-4, -3, -1, 1
Find l such that 1/4*l**2 - 25/2*l + 49/4 = 0.
1, 49
Let m(d) be the second derivative of -d**7/14 - d**6/30 + 9*d**5/20 - d**4/4 - d**3/3 - 5*d + 7. Solve m(s) = 0 for s.
-2, -1/3, 0, 1
Determine v so that 40/3*v - 20/3 - 35/3*v**5 + 115/3*v**2 - 95/3*v**4 - 5/3*v**3 = 0.
-2, -1, 2/7, 1
Suppose 0 = 3*q - 5*l, 0*l = q + 4*l. Let t = 10 - 6. Factor 0*b + 0*b**t + 2/13*b**5 + q + 0*b**3 + 0*b**2.
2*b**5/13
Let y(g) = -99*g - 1778. Let n be y(-18). Factor 8/7*p**n + 10/7*p**3 + 0*p + 0 + 4/7*p**2 + 2/7*p**5.
2*p**2*(p + 1)**2*(p + 2)/7
Let x(b) be the third derivative of b**6/240 + b**5/48 - b**4/32 + 103*b**2. Let x(w) = 0. Calculate w.
-3, 0, 1/2
Let t(r) be the second derivative of 5*r**5/4 + 35*r**4/6 + 35*r**3/6 - 5*r**2 - 8*r. Factor t(u).
5*(u + 1)*(u + 2)*(5*u - 1)
Factor 6/13*x + 0 + 8/13*x**2 + 2/13*x**3.
2*x*(x + 1)*(x + 3)/13
Let z(h) be the third derivative of -5*h**8/1848 - h**7/1155 + h**6/132 + h**5/330 + 52*h**2. Find s, given that z(s) = 0.
-1, -1/5, 0, 1
Let m(c) be the second derivative of -7*c**5/30 + 25*c**4/9 - 83*c**3/9 + 40*c**2/3 + 182*c + 1. Factor m(r).
-2*(r - 5)*(r - 1)*(7*r - 8)/3
Factor -3/7*r**2 + r**3 + 0 + 0*r + 1/7*r**5 - 5/7*r**4.
r**2*(r - 3)*(r - 1)**2/7
Suppose -191*q - 24 = -195*q. Let i(j) be the second derivative of 0*j**3 + 0 + 1/70*j**5 - 1/105*j**6 + 1/42*j**4 + q*j + 0*j**2 - 1/147*j**7. Factor i(g).
-2*g**2*(g - 1)*(g + 1)**2/7
Let z(t) be the second derivative of -9*t**6/80 + 3*t**5/20 + 5*t**4/4 + 2*t**3 - 3*t**2/2 - 46*t. Let n(m) be the first derivative of z(m). Factor n(s).
-3*(s - 2)*(3*s + 2)**2/2
Let o be 4*(3 + 12/(-8)). Suppose 0 = r - 0*r - o. Find k, given that r*k + 2 + 2*k**2 - 2 + 4 = 0.
-2, -1
Suppose 6*p - 24 = 30. Suppose o + 4*k + 11 = 0, p*o + 4*k = 5*o + 4. Determine c so that -8/3*c - 98/3*c**o + 106/3*c**3 + 8/3 - 106/3*c**2 + 98/3*c**4 = 0.
-1, -2/7, 2/7, 1
Let a(g) = 28*g**2 + 13*g**4 + 2*g**2 + 31*g**3 + 0*g**2 + 12*g. Let x(c) = 9*c**4 + 21*c**3 + 20*c**2 + 8*c. Let m(h) = -5*a(h) + 7*x(h). Factor m(t).
-2*t*(t + 1)**2*(t + 2)
Let j(o) = o**3 + 30*o**2 - 48*o - 27. Let p(a) = 15*a**2 - 24*a - 14. Let w be (-5 + 7)/(3/(-6)). Let b(f) = w*j(f) + 10*p(f). Factor b(u).
-2*(u - 4)**2*(2*u + 1)
Let w(j) be the first derivative of -j**5/5 + j**4/4 + j**3 - 5*j**2/2 + 2*j - 103. What is h in w(h) = 0?
-2, 1
Let u(z) be the first derivative of -25*z - 1/3*z**3 - 30 - 5*z**2. Factor u(h).
-(h + 5)**2
Let g(k) be the third derivative of k**7/70 + k**6/10 - k**5/4 + 462*k**2. Factor g(d).
3*d**2*(d - 1)*(d + 5)
Suppose -4*t + 3*d - 1 = 0, 60 - 23 = -3*t - 5*d. Let a = 4 + t. Let i**4 - i**5 + 4*i + 2*i**3 + 1 + a - 2*i**2 - 5*i = 0. Calculate i.
-1, 1
Let x(l) be the third derivative of -l**6/40 - 7*l**5/10 - 11*l**4/2 - 20*l**3 + 106*l**2. Solve x(d) = 0.
-10, -2
Let s(z) be the first derivative of -2*z**5/5 + 2*z**4 + 2*z**3 - 10*z**2 - 16*z - 590. Determine p, given that s(p) = 0.
-1, 2, 4
Let d(q) = 2*q**2 - 10*q + 4. Let y(f) = -f**2 - f. Let p be (-45)/30*(-8)/6. Let k(o) = p*y(o) - d(o). Determine a so that k(a) = 0.
1
Let s(z) = -z**3 + 9*z**2 - 14*z - 25. Let o be s(5). Factor 2/9*q**3 - 2/9*q**o + 2/9*q**4 + 0 - 2/9*q**2 + 0*q.
-2*q**2*(q - 1)**2*(q + 1)/9
Suppose 32*p - 30*p = 4. Let o(s) be the second derivative of -1/12*s**4 + 0 - s + 0*s**p - 1/15*s**3. Solve o(t) = 0.
-2/5, 0
Suppose -8*b = -6*b - 5*z - 45, 0 = b - 3*z - 21. Let u be 1*2 + 3*(-14)/b. Find q such that -12/5*q**5 + 0 - 3/5*q**4 + 0*q + 12/5*q**3 + u*q**2 = 0.
-1, -1/4, 0, 1
Factor -527*j**3 - 60*j + 1087*j**3 - 525*j**3 + 125*j**2.
5*j*(j + 4)*(7*j - 3)
What is g in -8*g**2 - 14/5*g - 22/5*g**3 + 4/5 = 0?
-1, 2/11
Suppose -2*t + 24 + 12 = 4*c, 0 = -2*t + 5*c. Let g = t - -2. Factor -g*s**4 + 11*s**2 - 18*s**3 - 5*s**2 - 3*s**3.
-3*s**2*(s + 2)*(4*s - 1)
Suppose -2*q + 20 = 10. Factor -g + 5*g + q - 9 - 2 + 2*g**2.
2*(g - 1)*(g + 3)
Let j(c) be the first derivative of c**7/3360 - c**6/96 + 5*c**5/32 - 125*c**4/96 - 16*c**3/3 - 4. Let p(u) be the third derivative of j(u). Factor p(f).
(f - 5)**3/4
Let i be 1/(-44) - (-81)/297. Let w(q) be the second derivative of 1/60*q**6 - 1/12*q**4 + i*q**2 - 4*q + 0 + 0*q**3 + 0*q**5. What is n in w(n) = 0?
-1, 1
Suppose -54*s + 168 = 60. Let f(a) be the second derivative of -4/105*a**6 + 0 + 0*a**3 - 1/14*a**5 + 0*a**s - 8*a - 1/21*a**4 - 1/147*a**7. Factor f(m).
-2*m**2*(m + 1)**2*(m + 2)/7
Let a(u) be the second derivative of -u**6/15 - 6*u**5/5 - 35*u**4/6 - 8*u**3 + u - 119. Factor a(q).
-2*q*(q + 1)*(q + 3)*(q + 8)
Suppose -2 = b, -4*v + 2*v - 4*b = 16. Let k(s) = 3*s + 12. Let n be k(v). Factor 0*f + 0*f**2 + 0*f**3 - 4/5*f**4 + n + 14/5*f**5.
2*f**4*(7*f - 2)/5
Let c(f) be the first derivative of f**5/45 - f**4/27 - 2*f**3/27 + 2*f**2/9 + 2*f + 1. Let d(o) be the first derivative of c(o). Factor d(k).
4*(k - 1)**2*(k + 1)/9
Let c = 7424/3 + -2474. Factor 0 + 0*d - 4/9*d**2 + 10/9*d**3 - c*d**4.
-2*d**2*(d - 1)*(3*d - 2)/9
Let g(l) be the third derivative of -l**6/420 + 2*l**5/105 + l**4/12 - 10*l**3/21 - 288*l**2. Solve g(x) = 0 for x.
-2, 1, 5
Let m be 8/(-3)*(440/224 + 8 - 10). Factor 4/21 - m*s**2 + 2/21*s.
-2*(s - 2)*(s + 1)/21
Factor 0*z + 10/3*z**3 - 5/6*z**4 + 0*z**2 + 0.
-5*z**3*(z - 4)/6
Suppose -j + 14 = 3*b - 2*j, 2*j = -2*b + 20. Let n be (-1)/2 + 5/2. Factor -b*p - 2 - 2 - 2*p - 4*p**n.
-4*(p + 1)**2
Let l(f) be the third derivative of -f**6/60 + f**5/30 + 5*f**4/6 + 8*f**3/3 + 427*f**2. Determine z so that l(z) = 0.
-2, -1, 4
Let u(q) be the first derivative of -8*q**2 - 17 + 0*q - 16/3*q**3 - q**4. Factor u(v).
-4*v*(v + 2)**2
Let z(y) be the first derivative of -5*y**4/12 + 5*y**3/2 + 10*y**2 - 14*y + 7. Let p(o) be the first derivative of z(o). Factor p(q).
-5*(q - 4)*(q + 1)
Let p = -827 - -831. Let c(o) be the first derivative of 0*o - 10 + 1/14*o**p + 1/7*o**2 + 4/21*o**3. Factor c(a).
2*a*(a + 1)**2/7
Let t(q) = q**2 + 7*q + 17. Let k(a) = a - 1. Suppose -f - 6 - 5 = 5*p, 2*f = 5*p - 7. Let v = -7 - f. Let l(b) = v*k(b) - t(b). Find i, given that l(i) = 0.
-4
Let o(k) = 2*k**4 + 2*k**3 + 2*k**2 + 3*k. Let z(f) = 2*f**4 + 4*f**3 + 2*f**2 + 4*f. Let p(v) = -4*o(v) + 3*z(v). Find i, given that p(i) = 0.
0, 1
Let j(s) = 4*s**2 + 2*s - 44. Let u be j(-4). Factor u*h + 18 - 11/2*h**2 + 1/2*h**3.
(h - 6)**2*(h + 1)/2
Let u(l) be the second derivative of l**6/120 + l**5/5 + 2*l**4 - 2*l**3/3 + 8*l. Let a(x) be the second derivative of u(x). Solve a(j) = 0 for j.
-4
Let t(f) be the first derivative of -15 - 2/3*f**3 + 24*f - f**2. Factor t(v).
-2*(v - 3)*(v + 4)
Let q(p) = 8*p**2 - 9*p + 16. Let c(x) = 10*x**2 - 8*x + 16. Let n(z) = -3*c(z) + 4*q(z). Find r, given that n(r) = 0.
2, 4
Let r(y) = -23*y**2 + 45*y - 88. Let s(g) = -12*g**2 + 22*g - 48. Let a(o) = 6*r(o) - 11*s(o). Suppose a(k) = 0. Calculate k.
0, 14/3
Suppose -5*q + 5*i - 19 = -2*q, -3*i = -q - 13. Solve 5*g - 5*g**q - 12*g + g - 9*g = 0.
-3, 0
Suppose -m + 4 = m. Let u(l) = -2*l + 1. Let p be u(-1). Find f such that -2*f**3 + 2*f**3 - 54 + 2*f**p - 18*f**m + 54*f = 0.
3
Find y such that -244*y - y**3 - 8 + 127*y + 115*y + 5*y**2 = 0.
-1, 2, 4
Let n(d) be the third derivative of 4*d**7/357 - 13*d**6/1020 - d**5/34 - 84*d**2. Solve n(j) = 0 for j.
-3/5, 0, 5/4
Suppose 269*v + 451*v = 7*v. Suppose k - 3*o = 0, -4*k + 6*o = 2*o - 8. Factor 0*x**4 + v*x + 1/2*x**2 + 3/4*x**k + 0 - 1/4*x**5.
-x**2*(x - 2)*(x + 1)**2/4
Let g = -7567 + 7569. Suppose 36/5*p**g - 96/5*p + 64/5 - 4/5*p**3 = 0. Calculate p.
1, 4
Let d be 1*-2 - (-8 - -6). Let w be ((-68)/4 + d)*-1.