+ 0*u**2 + 4/19*u**3.
2*(u - 1)*(u + 1)**3/19
Suppose 6 = -0*n + 3*n. Suppose -2*d - 1 = h + 3, 0 = -n*d - 6. Determine g so that -2 - 2*g + 2 - h*g**2 + 2 + 2*g**3 = 0.
-1, 1
Let r = -1421 + 1421. Factor r*s**2 + 8/9 - 4/9*s**3 + 4/3*s.
-4*(s - 2)*(s + 1)**2/9
Suppose 6*m + 20 = -4*m. Let u be (-4)/(-10) + m*(-9)/(-120). Factor -x + 3/4 + u*x**2.
(x - 3)*(x - 1)/4
Let a(n) = n**2 + 4*n - 43. Let u = 297 - 306. Let o be a(u). Factor 0 + 0*y**o - 1/4*y**4 + 0*y**3 + 0*y + 1/4*y**5.
y**4*(y - 1)/4
Let j(g) be the second derivative of 0 + 1/60*g**6 - 1/12*g**4 + 1/20*g**5 - 1/84*g**7 - 1/12*g**3 + 4*g + 1/4*g**2. Let j(t) = 0. What is t?
-1, 1
Let g = 35046 - 35044. Factor 0 - g*b**2 + 2*b - 3/2*b**3.
-b*(b + 2)*(3*b - 2)/2
Let k(s) be the first derivative of -s**6/60 - 2*s**5/15 - 5*s**4/12 - 2*s**3/3 + 10*s**2 + 17. Let c(p) be the second derivative of k(p). Factor c(o).
-2*(o + 1)**2*(o + 2)
Let d(c) be the first derivative of -3*c**4/10 - 14*c**3/15 - c**2 - 2*c/5 + 74. Suppose d(q) = 0. What is q?
-1, -1/3
Let d(p) = p**3 - 9*p**2 + 9*p - 2. Let h be d(8). Let r be 1/h + 22/12. Suppose 0*k**3 + k**3 - 3*k + 2*k**3 + 3*k**4 - 3*k**r = 0. What is k?
-1, 0, 1
Suppose -5*o - 1 + 11 = 0. What is v in -3*v**o + 4*v**4 + 7*v**2 - 5*v**2 - 3*v**2 = 0?
-1, 0, 1
Let -2/7*v**3 + 24/7*v + 0 - 8/7*v**2 = 0. Calculate v.
-6, 0, 2
Suppose -5*s - 5*b + 40 = 0, 2*b - 3 + 11 = 4*s. Let w(v) be the first derivative of 1/16*v**s - 1/2*v + 1/6*v**3 - 2 - 1/8*v**2. Factor w(r).
(r - 1)*(r + 1)*(r + 2)/4
Let t(p) = 3*p**2 - 12*p + 2. Let f be t(5). Solve 3*y**2 + 317 - 53*y + f*y - 209 = 0.
6
Let y = 1032/785 + -18/157. Factor -y*o + 2/5*o**5 - 4/5*o**2 - 2/5 + 6/5*o**4 + 4/5*o**3.
2*(o - 1)*(o + 1)**4/5
Determine s, given that 27 + 9*s**4 - 45/2*s + 3/2*s**5 - 24*s**2 + 9*s**3 = 0.
-3, -2, 1
Let n be ((-4)/6)/((-15)/45) + 2. Factor -62*l**4 - 10*l**2 - 6*l + 3*l**5 + 3*l**3 + 71*l**n + l**2.
3*l*(l - 1)*(l + 1)**2*(l + 2)
Let w be (2/(-4))/((-82)/(-12) - 7). Suppose -w = j - 5. Factor 0 + 0*z + 1/2*z**5 + 2*z**3 + 0*z**2 + j*z**4.
z**3*(z + 2)**2/2
Let a(m) = m**3 + m**2 - m - 1. Let q be (-28)/35*(-15)/(-2). Let s(u) = 22*u**3 + 2*u**2 - 22*u - 2. Let i(g) = q*a(g) + s(g). What is x in i(x) = 0?
-1, 1/4, 1
Let l = -5 + 13. Let a(t) be the third derivative of -1/70*t**7 + 0 - 1/336*t**l + 5*t**2 + 0*t - 1/60*t**5 + 0*t**3 - 1/40*t**6 + 0*t**4. Factor a(d).
-d**2*(d + 1)**3
Let a(t) = -15*t**5 + 18*t**4 + 26*t**3 - 27*t**2 - 26*t - 1. Let u(w) = w**4 + w**3 + 2*w + 1. Let k(g) = -3*a(g) - 15*u(g). Determine n, given that k(n) = 0.
-1, -2/3, 1/5, 1, 2
Let l be 40/10 + 2*-1. Suppose 0 = -3*u + m + l*m - 9, 5*u = -4*m + 21. Factor 5 - 2*n**2 - 6 - 6 + 8*n - u.
-2*(n - 2)**2
Suppose -7*r = -6*r - 1140. Factor r*u - 3*u**2 - 2*u**2 - 45 - 1110*u.
-5*(u - 3)**2
Let k be (-10)/(-24)*43/215. Let x(s) be the first derivative of -7 + 0*s**2 - k*s**3 + 1/4*s. Find i such that x(i) = 0.
-1, 1
Let a(x) = 5*x**2 + x - 4. Suppose 5*g = -3*f - 2*f - 35, 5*f + 14 = 2*g. Let v(b) = -6*b**2 - b + 5. Let r(n) = f*v(n) - 5*a(n). Solve r(j) = 0.
-1, 0
Let a(b) be the first derivative of -b**3/6 - 39*b**2/4 + 41*b + 228. What is m in a(m) = 0?
-41, 2
Let q(k) be the second derivative of 49*k**6/150 - 7*k**5/25 + k**4/15 - 175*k. What is t in q(t) = 0?
0, 2/7
Let l(j) = -j**2 + j + 5. Let i be l(2). Let -68*f**4 + 9*f**2 + 5*f**5 - 15*f**2 - 14*f**2 + 43*f**4 + 40*f**i = 0. What is f?
0, 1, 2
Let c(i) be the second derivative of 0 + 5/2*i**2 - 8*i + 1/6*i**6 + 0*i**5 + 0*i**3 - 5/6*i**4. Factor c(a).
5*(a - 1)**2*(a + 1)**2
Let q(p) be the first derivative of -120*p**2 - 13 + 33*p**5 - 48*p + 42*p**4 - 88*p**3 - 25/2*p**6. Solve q(s) = 0.
-1, -2/5, 2
Let l(w) = -10*w**2 - 11*w + 11. Let d(c) = 6*c + 5*c**2 + c - 5 - c. Let y(t) = 7*d(t) + 3*l(t). Factor y(j).
(j + 2)*(5*j - 1)
Suppose 2*b + 2 = 2*n, -8 = -2*n - 4*b - 0. Determine p so that -2 - 3*p**2 - 9 + 3*p + 5 + 6*p**n = 0.
-2, 1
Suppose -5*s + 18 = -7. Let x be 3 - (10/s + -5). Factor 10*g**4 + x + 7 - 13 + 5*g**5 + 5*g**3.
5*g**3*(g + 1)**2
Suppose 0 = 5*r, 5*r - 44 = 2*d + 34. Let n = -23 - d. Factor n - 19*o**3 + 3*o**3 + 4*o - 12*o**2 - 4*o**4 + 12*o.
-4*(o - 1)*(o + 1)*(o + 2)**2
What is s in 28*s - s + 37 - s**2 - 91 - 6*s = 0?
3, 18
Suppose 19*r - 29 = 9. Let h(i) be the third derivative of -1/50*i**5 - i**r - 1/15*i**3 + 1/20*i**4 + 0*i + 1/300*i**6 + 0. Determine w, given that h(w) = 0.
1
Let k be 4/6 + 3/(-18). Let v be (-23)/6 + (-2 + 5 - -1). Factor v + 1/3*z - k*z**2.
-(z - 1)*(3*z + 1)/6
Let w(h) be the second derivative of h**5/45 + h**4/6 - 11*h**2 + 17*h. Let f(y) be the first derivative of w(y). Determine z, given that f(z) = 0.
-3, 0
Let i(c) be the third derivative of -16/3*c**3 + 0 + 0*c - 1/30*c**5 - 2/3*c**4 - 15*c**2. Factor i(u).
-2*(u + 4)**2
Let n(q) be the second derivative of -q**6/45 - q**5/6 - 4*q**4/9 - 4*q**3/9 + 22*q. Factor n(a).
-2*a*(a + 1)*(a + 2)**2/3
Let p(a) be the first derivative of 5*a**4/12 - 5*a**3/6 + 14*a + 18. Let c(w) be the first derivative of p(w). Factor c(s).
5*s*(s - 1)
Let b = 2056 - 10279/5. Factor -b + 2/5*i - 1/5*i**2.
-(i - 1)**2/5
Let n(y) be the second derivative of y**7/1260 + y**6/60 + y**5/12 + 7*y**4/3 - 16*y. Let i(t) be the third derivative of n(t). Factor i(q).
2*(q + 1)*(q + 5)
Suppose -b = 3*s - 1, 0 = 2*s - b - 4 - 5. Let j = 49511/9 - 5501. Solve 0 + 0*g - j*g**s = 0 for g.
0
Let h(s) = -3*s**4 - 22. Let t(l) = 7*l**4 - l**3 + l**2 + 44. Let n(k) = 9*h(k) + 4*t(k). Let a(m) be the first derivative of n(m). Factor a(r).
4*r*(r - 2)*(r - 1)
Suppose -4*r - 623 = -2*t - 627, -4*t = -r - 6. Let h be 2 - 1*(2 + -2). Determine b so that 0 - 2/3*b**3 - 4/3*b + r*b**h = 0.
0, 1, 2
Let w(n) be the second derivative of -n**4/12 + 13*n**3/6 + 15*n**2 + 11*n - 4. Factor w(l).
-(l - 15)*(l + 2)
Factor -5*b**4 + 32*b - 48*b - 8*b**3 + 16 - 13*b**3 - 20*b**2 + 28*b.
-(b + 1)*(b + 2)**2*(5*b - 4)
Suppose 5*q - 44*q + 4360 = 70*q. Factor -35/2*c**2 + 5/2*c**3 + q*c - 30.
5*(c - 3)*(c - 2)**2/2
Let y(w) be the third derivative of -2*w**7/21 - 29*w**6/24 - 13*w**5/4 + 35*w**4/3 + 40*w**3/3 + 109*w**2. Solve y(f) = 0 for f.
-4, -1/4, 1
Let c be (-75 - -8)/(3/((-6)/(-4))). Let a = -32 - c. Factor -q**2 + 0*q + 0 - a*q**3.
-q**2*(3*q + 2)/2
Suppose -n - 3*q - 27 = 0, 23*n = 26*n - 3*q - 27. Factor 2/3*j**3 + 0 + n*j**2 - 8/3*j.
2*j*(j - 2)*(j + 2)/3
What is v in -24*v + 4/5*v**5 - 6/5*v**4 + 136/5*v**2 + 32/5 - 46/5*v**3 = 0?
-4, 1/2, 1, 2
Let t = 3553 - 31930/9. Let y = t + -208/45. Let -3/5*c**3 - y*c**2 + 0*c + 0 = 0. What is c?
-1, 0
Let a(x) be the first derivative of -4*x**3/3 - 22*x**2 - 46. What is z in a(z) = 0?
-11, 0
Let f be ((-1)/(-2))/(10/(-30)) - -2. Let y(o) be the first derivative of 2 + 1/8*o**2 - f*o + 1/12*o**3. Factor y(a).
(a - 1)*(a + 2)/4
Let w(o) be the first derivative of 1/1080*o**6 - 1/120*o**5 + 0*o + 5 + 0*o**2 + 1/36*o**4 - o**3. Let s(m) be the third derivative of w(m). Factor s(n).
(n - 2)*(n - 1)/3
Let g = 66 + -37. Let i = 35 - g. Factor -6*j**2 - 9*j**2 - j + i*j.
-5*j*(3*j - 1)
Factor -o**3 + 1/4*o**5 - 6*o**2 + 0*o + 0 + 3/2*o**4.
o**2*(o - 2)*(o + 2)*(o + 6)/4
Find b, given that 16*b**2 - 14*b**4 + 36*b**4 - 26*b**4 = 0.
-2, 0, 2
Factor 2 - 940*h + 943*h + 8 - h**2.
-(h - 5)*(h + 2)
Factor -114/5*w**2 - 78/5*w - 74/5*w**3 - 4 - 18/5*w**4.
-2*(w + 1)**3*(9*w + 10)/5
Let j = -184 - -187. Let r(o) be the second derivative of -5/3*o**7 + 8/5*o**5 + 19/3*o**j + 2*o**2 + 0 + 25/3*o**4 - 2*o - 52/15*o**6. What is n in r(n) = 0?
-1, -2/7, -1/5, 1
Suppose 3*h - a = 3*a + 280, 5*a + 75 = h. What is s in 4 - 98*s**2 - s**3 - 5 + 7*s + h*s**2 + 5 = 0?
-1, 4
Let j be 5*(-12)/(-100) + 44/10. Suppose m = j*q + 3*m - 18, -5*m = -20. Factor b + 1/2*b**q - 3/2.
(b - 1)*(b + 3)/2
Factor -1620 - 5*q**2 + 62*q + 63*q + 55*q.
-5*(q - 18)**2
Let t(v) = v + 16. Let q be t(-13). Solve 72 - 24*l + l**3 + 9*l**q + 32*l**2 + 108*l - 6*l**3 = 0.
-3, -2
Let k(r) be the first derivative of -r**4/10 + 8*r**3/5 - 21*r**2/5 + 4*r - 25. Factor k(d).
-2*(d - 10)*(d - 1)**2/5
Let q = -26 + 28. Suppose 1 + 5 = q*v. Solve -6*g**4 + g**3 + 7*g**3 - 6 + 27*g + 19*g**v - 42*g**2 = 0 for g.
1/2, 1, 2
Let r(t) be the first derivative of 2/9*t**3 - 10/3*t - 5 + 4/3*t**2. Let r(z) = 0