*2 + 20*r - 4. Let c(p) = 5*a(p) + 4*w(p). Suppose c(j) = 0. What is j?
-3, -1
Let o(j) = 2*j + 7. Let y be o(-5). Let k = y - -5. Determine r, given that 3*r**2 + 6*r + 2*r**3 - 9*r**k + 0*r**3 - 2 = 0.
1
Let h be (-2)/(-13) + 89*4/52. Suppose h - 80*j - j**3 - 4*j**2 + 84*j + 9 = 0. Calculate j.
-4, -2, 2
Let t(u) be the first derivative of -u**5/4 - 5*u**4/4 + 5*u**3 + 20*u**2 - 80*u - 103. Suppose t(x) = 0. What is x?
-4, 2
Let m = -1 - -8. Factor 10*d**2 + d**2 - 8*d + 4*d**3 - m*d**2.
4*d*(d - 1)*(d + 2)
Let h = -6304 - -6304. Factor -2/9*w**2 - 1/9*w**3 + h + 1/3*w**4 + 0*w.
w**2*(w - 1)*(3*w + 2)/9
Let p(x) = -3*x + 27. Let m = 162 + -153. Let h be p(m). Factor h*g - 1/2*g**2 + 0.
-g**2/2
Determine r, given that -27*r**5 + 25*r**3 - 42*r**2 + 24*r**3 - 9*r + 90*r**4 - 61*r**3 = 0.
-1/3, 0, 1, 3
Let f(i) be the third derivative of -i**8/1512 + i**6/20 - i**5/5 - 346*i**2. Factor f(m).
-2*m**2*(m - 3)**2*(m + 6)/9
Let f be (-26)/(-12) + 265/(-159). Let q(w) be the first derivative of -12 + 0*w**4 - f*w**3 + 1/10*w**5 + 1/2*w**2 + 0*w. Suppose q(m) = 0. What is m?
-2, 0, 1
Let u = -13 - -235/18. Let k(y) be the second derivative of -u*y**4 + 3*y + 2/9*y**3 + 0*y**2 + 1/45*y**6 + 0 - 1/15*y**5. Find n, given that k(n) = 0.
-1, 0, 1, 2
Determine o so that 0*o + 4/7*o**2 + 4/7*o**3 + 0 = 0.
-1, 0
Let a(g) = 5*g**2 - 40*g + 24. Let w(v) = v**2 - 8*v + 5. Let s(u) = -2*a(u) + 11*w(u). Solve s(c) = 0.
1, 7
Suppose 34*x - 40*x = 66. Let l(p) = p**3 + 10*p**2 - 13*p - 22. Let s be l(x). Factor s - 3/4*k**3 + 1/4*k**2 + 1/2*k.
-k*(k - 1)*(3*k + 2)/4
Suppose 4*g - 2*g = 4. Suppose 0 = g*s + 2 - 10. Factor -3*l**4 + 2*l**s - 3*l**4 + 4*l**2 + 4*l**5 - 2*l**5 - 2*l.
2*l*(l - 1)**3*(l + 1)
Let k(m) = 9*m**2 - 69*m - 54. Let d(x) = 2*x**2 - 14*x - 11. Let w(z) = 24*d(z) - 5*k(z). Find h, given that w(h) = 0.
-2, -1
Let v = -1502 + 1506. Factor -8/9*n**2 + 8/3*n**3 - 10/9*n**v + 0 + 0*n.
-2*n**2*(n - 2)*(5*n - 2)/9
Let y(g) be the second derivative of -g**4/6 + 2*g**3/3 - 2*g - 130. Let y(f) = 0. What is f?
0, 2
Let v = -961 - -673. Let g be (((-3)/(-4))/(-3))/(20/v). Factor g*x**2 + 24/5*x**3 + 0 + 4/5*x + 2*x**4.
2*x*(x + 1)**2*(5*x + 2)/5
Let n(w) = 8*w**2 + 120*w + 212. Let k(f) = 17*f**2 + 241*f + 423. Let i(g) = 4*k(g) - 9*n(g). Suppose i(s) = 0. What is s?
-27, -2
Let n = -237/8 - -92/3. Let v(h) be the first derivative of -1/4*h**5 - 1/3*h**3 + 0*h + 0*h**2 + h**4 - 4 - n*h**6. Factor v(y).
-y**2*(y + 1)*(5*y - 2)**2/4
Let b(l) = -l**2 - 6*l - 3. Let y be b(-5). Suppose w - y*j - 2*j + 14 = 0, 3*j - 22 = -5*w. Determine t so that -4*t**2 - w + 8*t**2 + 2*t**2 - 4*t**2 = 0.
-1, 1
Let q(u) = -3*u**3 + 4*u**2. Let k(n) = -11*n**3 + 13*n**2. Let m(c) = -2*k(c) + 7*q(c). Factor m(g).
g**2*(g + 2)
Let x be (-3)/(-6) - (-6)/4. Let u be 2*(0 - (x - 3)). What is v in v - 2*v**u - 4 - v + 2 - 4*v = 0?
-1
Let k(z) be the second derivative of 0*z**2 - 1/2*z**3 + 0 - 1/40*z**6 - 3/16*z**5 - 1/2*z**4 + 2*z. Factor k(w).
-3*w*(w + 1)*(w + 2)**2/4
Let z = -97006883/4865 - -418738/21. Let j = -3/139 + z. Factor 2/3*f + j*f**3 + 4/15 + 8/15*f**2.
2*(f + 1)**2*(f + 2)/15
Let l(c) be the third derivative of 0 + 24*c**2 - 1/190*c**5 + 0*c**3 - 1/114*c**4 + 0*c - 1/1140*c**6. Solve l(x) = 0 for x.
-2, -1, 0
Let w(v) be the third derivative of 1/1155*v**7 - 1/66*v**4 + 16*v**2 + 0*v + 1/66*v**5 + 0*v**3 - 1/165*v**6 + 0. Factor w(c).
2*c*(c - 2)*(c - 1)**2/11
Let x(m) be the first derivative of -m**4/10 - 26*m**3/15 - 23*m**2/5 - 22*m/5 - 49. Let x(u) = 0. What is u?
-11, -1
Let a(k) be the second derivative of k**4/4 + 25*k**3 + 1875*k**2/2 + 56*k + 2. Factor a(c).
3*(c + 25)**2
Let a = -9/469 - -19/7973. Let l = 113/357 - a. Let -1/2*u**4 - 1/2*u + 1/3*u**3 + l*u**2 + 1/6 + 1/6*u**5 = 0. What is u?
-1, 1
Let 12*q**4 - 32014*q - 40*q**2 - 35*q**3 + 32034*q + 13*q**4 = 0. Calculate q.
-1, 0, 2/5, 2
Let o = 40 + -36. Determine i so that i**2 + 9 + o*i**2 + 2 - 16 = 0.
-1, 1
Determine m, given that 9011*m**2 + 23*m + 107*m - 9016*m**2 = 0.
0, 26
Let b(s) be the first derivative of -s**8/8400 - s**7/1400 - s**6/900 + 5*s**3 + 15. Let n(u) be the third derivative of b(u). Factor n(a).
-a**2*(a + 1)*(a + 2)/5
Let l = -763/13 + -73/26. Let m = -61 - l. Factor -7/2*b**2 + 0 + 8*b**4 - 4*b**3 - m*b.
b*(b - 1)*(4*b + 1)**2/2
Determine v, given that -7*v + 3*v**2 + 41 + 15 - 32*v + 52 = 0.
4, 9
Let s(d) = -5*d + d**4 - 3231*d**3 - 9 + 3231*d**3 + 3*d**2. Let z(g) = -2*g**4 - 8*g**2 + 12*g + 22. Let o(q) = 12*s(q) + 5*z(q). Factor o(x).
2*(x - 1)**2*(x + 1)**2
Let q(w) be the first derivative of -w**8/84 - 13*w**7/168 - 11*w**6/72 - w**5/12 + 8*w**3/3 + 1. Let o(f) be the third derivative of q(f). Factor o(g).
-5*g*(g + 1)*(g + 2)*(4*g + 1)
Let d(s) be the third derivative of 1/150*s**6 + 0 - 1/525*s**7 + 8*s**2 + 1/15*s**3 + 0*s + 0*s**5 - 1/30*s**4. Let d(k) = 0. Calculate k.
-1, 1
Let x be ((-2 - -2)/(-11))/(-1) + 4. Solve -128/9*n**3 - 68/9*n**x + 0 - 52/9*n**2 + 8/9*n = 0.
-1, 0, 2/17
Let f(m) be the second derivative of 0 + 1/5*m**2 - 1/30*m**4 - 1/100*m**5 + 1/30*m**3 - 14*m. Suppose f(k) = 0. What is k?
-2, -1, 1
Let l(w) be the third derivative of w**8/420 + 3*w**7/70 + 4*w**6/15 + 8*w**5/15 - 7*w**3 + 11*w**2. Let v(i) be the first derivative of l(i). Factor v(b).
4*b*(b + 1)*(b + 4)**2
Let -80 - 20*h + 38*h - 4*h**2 + 28*h + 38*h = 0. Calculate h.
1, 20
Let d = 9871 + -29611/3. What is m in 1/3*m - 1/3*m**2 + d = 0?
-1, 2
Let v(y) = -4*y + 20. Let w be v(5). Find d, given that 0 - 8/5*d**2 + w*d + 8/5*d**4 - 4/5*d**5 + 4/5*d**3 = 0.
-1, 0, 1, 2
Solve -a - 2*a - a**2 - 5*a + 0*a + 9 = 0.
-9, 1
Let x = 39 - 32. Determine l, given that -8 + 2*l**3 + 22*l + 2*l**4 - 7*l**2 - x*l**2 - 4*l**2 = 0.
-4, 1
Let w be ((-4)/(-1) - 4)/(1 - -2). Factor -1/3*o + 1/3*o**3 + 0*o**2 + w.
o*(o - 1)*(o + 1)/3
Let l(s) be the first derivative of 0*s + 0*s**3 + 10 + 0*s**2 + 1/2*s**4. Factor l(b).
2*b**3
Suppose 130*u - 4*u**4 - 131*u**4 - 580 + 25*u**5 + 435*u**2 + 460 + 25*u**3 = 0. Calculate u.
-1, 2/5, 3, 4
Let r = 5 - 3. Let q = 859/4 - 214. Factor 3/4*a**5 + 3/4*a**r + 6*a - q*a**4 + 3 - 15/4*a**3.
3*(a - 2)**2*(a + 1)**3/4
Suppose 20667/2*n + 1/2*n**3 - 571787/2 - 249/2*n**2 = 0. What is n?
83
Let k be (6 - 6)*2/(-24)*-4. Let a(i) be the second derivative of k + 1/90*i**5 + 5/27*i**3 + 2/27*i**4 + 2*i + 2/9*i**2. Factor a(v).
2*(v + 1)**2*(v + 2)/9
Suppose 661*t + 33 = 672*t. Factor 0 + 2/9*o**2 + 0*o - 2/9*o**t.
-2*o**2*(o - 1)/9
Let j(s) be the first derivative of -s**3 - 6*s**4 - 3*s**5 + 7 + 3*s**2 - 7 + 1. Solve j(i) = 0.
-1, 0, 2/5
Let l(u) be the third derivative of u**6/240 - u**5/40 + u**4/16 + u**3/3 - 11*u**2. Let b(d) be the first derivative of l(d). Factor b(k).
3*(k - 1)**2/2
Let u(j) be the second derivative of j**4/78 - 8*j**3/39 + 7*j**2/13 + 12*j - 5. Let u(k) = 0. What is k?
1, 7
Let v(j) be the third derivative of -j**8/336 - 11*j**7/210 - j**6/15 + j**5/3 - 7*j**2 + 9. Determine l so that v(l) = 0.
-10, -2, 0, 1
Let j(s) be the second derivative of s**5/4 - 5*s**4/4 - 25*s**3/3 + 78*s. Determine u, given that j(u) = 0.
-2, 0, 5
Let v be (76/1710)/((-12)/(-9)). Let b(q) be the second derivative of v*q**5 + 2/3*q**2 - 1/9*q**4 + 0 - 10*q - 1/9*q**3. Factor b(p).
2*(p - 2)*(p - 1)*(p + 1)/3
Let z(n) = -24*n**2 - 11. Let u(b) = 13*b**2 + 6. Let v(m) = 11*u(m) + 6*z(m). Factor v(y).
-y**2
Determine w, given that 110/9 - 8/9*w**3 + 46/9*w**2 + 452/9*w = 0.
-5, -1/4, 11
Let z(l) be the first derivative of -l**4/12 + 37*l**3/9 - 71*l**2/6 + 35*l/3 + 317. Find n such that z(n) = 0.
1, 35
Let -31*a**2 + 45*a + 27*a**2 - 10 - 46*a**2 = 0. Calculate a.
2/5, 1/2
Let t(u) be the first derivative of -u**3/3 + 227*u**2/6 + 76*u/3 + 104. Factor t(l).
-(l - 76)*(3*l + 1)/3
Factor -472*q + 1 + 6*q**2 - 3 + 476*q.
2*(q + 1)*(3*q - 1)
Let u(b) be the third derivative of b**5/140 + 11*b**4/56 - 30*b**3/7 - 168*b**2. Factor u(p).
3*(p - 4)*(p + 15)/7
Suppose -3*m = -t - 93 + 31, 2*m = t + 43. Let y = m + -16. Factor -1/2*l**5 - 1/2*l**4 + 0*l + 1/2*l**2 + 1/2*l**y + 0.
-l**2*(l - 1)*(l + 1)**2/2
Suppose -7 = -y - a, -3*y + 3*a = -0*y + 9. Suppose m - 12 = -5*d, -10 + y = m - 5*d. Find w such that -m*w + 2/3*w**2 + 2*w**3 - 4/3 + 2/3*w**4 = 0.
-2, -1, 1
Factor 0*r**3 + 1/3 + 0*r +