 -3*k**2 + 27*k - 12. Let b(y) = -2*y. Let c(u) = -6*b(u) - i(u). Let c(w) = 0. What is w?
1, 4
Determine j, given that -15/7*j**3 + 4*j - 12/7*j**2 - 1/7*j**4 + 0 = 0.
-14, -2, 0, 1
Let z = -29 + 59. Suppose 0 = 7*x - x - z. Solve 2*o**4 + o**3 + 5*o**x - 6*o**5 - 2*o**2 + 0*o**4 = 0 for o.
-1, 0, 1, 2
Let v(z) be the first derivative of -4*z**5/15 - 10*z**4/3 - 116*z**3/9 - 64*z**2/3 - 16*z - 171. Solve v(l) = 0 for l.
-6, -2, -1
Let j(i) be the third derivative of -i**7/280 + 3*i**6/40 - 27*i**5/40 + 27*i**4/8 - 81*i**3/8 - 259*i**2. Find a, given that j(a) = 0.
3
Let w(c) be the third derivative of -c**8/168 + 2*c**7/15 - 5*c**6/4 + 97*c**5/15 - 61*c**4/3 + 40*c**3 + 794*c**2. Solve w(q) = 0.
2, 3, 5
Solve 8*q**3 - 26*q**4 + 27*q**4 - 30*q**2 + 46*q**2 = 0 for q.
-4, 0
Let 2/17*r**3 + 0*r + 4/17*r**2 - 2/17*r**4 + 0 = 0. What is r?
-1, 0, 2
Let m(o) be the second derivative of o**7/63 + o**6/15 + o**5/15 + 2*o - 29. Determine p so that m(p) = 0.
-2, -1, 0
Let o(q) be the first derivative of -25*q**6/3 + 26*q**5 - 28*q**4 + 32*q**3/3 + 18. Factor o(c).
-2*c**2*(c - 1)*(5*c - 4)**2
Let c(m) be the third derivative of -m**7/420 + m**6/240 + m**5/12 - m**4/12 - 2*m**3 - 364*m**2. Let c(w) = 0. What is w?
-2, 2, 3
Let a(l) = -l**2 - 3*l - 2. Suppose 0 = 3*s - 0*s + 4*i + 22, i - 6 = 5*s. Let b(f) = f**2 + 3*f + 2. Let o(g) = s*b(g) - 3*a(g). Factor o(m).
(m + 1)*(m + 2)
Let r(h) be the second derivative of -9/8*h**2 - 7/8*h**3 - 5/16*h**4 - 3/80*h**5 + 0 - 45*h. Solve r(m) = 0 for m.
-3, -1
Let q(x) be the first derivative of 2*x**5/25 + 4*x**4/5 + 4*x**3/5 - 8*x**2/5 - 14*x/5 - 908. Factor q(w).
2*(w - 1)*(w + 1)**2*(w + 7)/5
Let u(p) be the first derivative of -19*p**5/5 - 39*p**4/2 - 65*p**3/3 - 3*p**2 + 369. Suppose u(m) = 0. Calculate m.
-3, -1, -2/19, 0
Suppose 49 = 5*o - 61. Let x = -17 + o. Factor 15*g**2 - 2*g + x - 7*g - 5*g - 5*g**3 - g.
-5*(g - 1)**3
Let z = 320285/9 + -35511. Suppose 2/9*x**3 - z + 98/3*x - 14/3*x**2 = 0. Calculate x.
7
Let g = 475 + -475. Factor 3/7 + g*y - 3/7*y**2.
-3*(y - 1)*(y + 1)/7
Let m be (-10)/(-5 - -3) + -1*3. Factor -5 + 2*o**4 - 6*o - 12*o**m + 3*o - 1 - 13*o.
2*(o - 3)*(o + 1)**3
Let r(l) = -l**3 - 13*l**2 - 28*l + 20. Let o be r(-10). Let v = 13/30 + -1/10. Find t, given that 2/3*t**4 + v*t**3 + o*t**2 + 1/3*t**5 + 0 + 0*t = 0.
-1, 0
Let w = 5125 + -5125. Factor w + 2/7*n**4 - 2/7*n**3 - 4/7*n**2 + 0*n.
2*n**2*(n - 2)*(n + 1)/7
Let h(i) be the second derivative of i**4/12 + i**3/6 + i**2/2 + 27*i. Let x(l) = 10*l**2 + 40*l + 35. Let w(n) = 5*h(n) - x(n). Solve w(g) = 0 for g.
-6, -1
Let v(o) = o**2 + o - 1. Let c(t) = -2*t**3 - 6*t**2 + 2*t - 2. Let u be 9/72*(0 - -8). Let y(g) = u*c(g) - 2*v(g). Suppose y(p) = 0. Calculate p.
-4, 0
Factor -128*u**2 - 192 + 76*u + 62*u + 57*u + 64*u**2 + 61*u**2.
-3*(u - 64)*(u - 1)
Let j(r) be the second derivative of r**9/1008 - r**8/420 - r**7/840 + r**6/180 - 7*r**3/6 - 6*r. Let d(w) be the second derivative of j(w). Factor d(s).
s**2*(s - 1)**2*(3*s + 2)
Let g(z) be the third derivative of z**6/120 - 9*z**5/20 - 19*z**4/8 - 29*z**3/6 - 129*z**2. Factor g(t).
(t - 29)*(t + 1)**2
Let n(k) = -7*k**2 - 21*k - 29. Let h be 15 + (0 - (-5 - (-16)/4)). Let s(m) = 36*m**2 + 104*m + 144. Let w(d) = h*n(d) + 3*s(d). Factor w(z).
-4*(z + 2)*(z + 4)
Let w(x) = 2*x + 23. Let l be w(-12). Let h be (l/(-5))/(30/50). Factor 1/3 - h*q**2 + 1/3*q - 1/3*q**3.
-(q - 1)*(q + 1)**2/3
Let u(s) = -4*s**3 - 27*s**2 + 11*s - 1. Let p(b) = -b**3 - b**2 + b + 1. Let n(j) = p(j) + u(j). Find h, given that n(h) = 0.
-6, 0, 2/5
Suppose -2*y + 6*y - 12 = 0. Let 8*v**2 - 4*v**y + 0*v**3 - 4*v + 0*v**2 = 0. Calculate v.
0, 1
Let m = 170 - 172. Let s be (40/6)/m*(-40)/200. Find v such that -2*v**2 - 4/3*v - s*v**3 + 0 = 0.
-2, -1, 0
Let b(i) be the first derivative of i**6/9 - i**5/3 + i**4/6 + 4*i**3/9 - 2*i**2/3 + i/3 + 21. Factor b(z).
(z - 1)**3*(z + 1)*(2*z - 1)/3
Let c = -8/1159 + 5365/273524. Let b = 457/1180 + c. Let 1/10*l**2 + b + 2/5*l = 0. Calculate l.
-2
Factor -16/7*g - 3/7*g**2 + 1/7*g**3 - 12/7.
(g - 6)*(g + 1)*(g + 2)/7
Let r(l) be the second derivative of l**5/40 - l**4/6 + l**3/4 - 44*l. Factor r(w).
w*(w - 3)*(w - 1)/2
Suppose 0 = -2*v + 4*o - 12, -o + 153 = 148. Solve 4*a**2 + 0 - 2*a + 1/2*a**v - 5/2*a**3 = 0 for a.
0, 1, 2
Let d(h) = h - 2. Let q be d(2). Suppose q = p - 5 + 1. Factor -v**2 + 4*v**2 + 27 - p*v + 11*v + 11*v.
3*(v + 3)**2
Let x(a) be the first derivative of 3 + a**3 + 0*a**5 + 0*a**2 + 0*a**6 + 0*a**4 + 0*a - 1/420*a**7. Let f(j) be the third derivative of x(j). Factor f(t).
-2*t**3
Let s = -8301/7 - -1186. Factor -s*f**2 + 0*f + 1/7.
-(f - 1)*(f + 1)/7
Determine s so that -14*s**2 - 52/7*s**4 + 0*s + 149/7*s**3 + 1/7*s**5 + 0 = 0.
0, 1, 2, 49
Let t(v) be the second derivative of v**4/12 - 5*v**3/6 + 7*v**2/2 - v. Let u be t(4). Factor -20*p - 11*p**2 + 2*p**3 + 24*p + 4*p**u + 1.
(p - 1)**2*(6*p + 1)
Let v(f) = -f**3 - 21*f**2 - 19*f + 15. Let d be v(-20). Let o be ((-12)/(-135))/((-7)/d + -1). What is i in -2/9*i + 2/9*i**3 + 2/9*i**2 - o = 0?
-1, 1
Suppose -2*p + 6 + 0 = 0. Suppose x = p*x - 4. Factor -s + s + 2*s**x + 0*s - 2*s**3.
-2*s**2*(s - 1)
Let a = -9580/3 - -3194. Factor -1/3*d**2 + 0*d**4 + 1/3 + 1/6*d**5 + 1/2*d - a*d**3.
(d - 2)*(d - 1)*(d + 1)**3/6
Factor -5/6*k**4 - 25/6*k**3 + 1/2*k**5 + 4/3 - 5/2*k**2 + 5/3*k.
(k - 4)*(k + 1)**3*(3*k - 2)/6
Let l(x) be the second derivative of 8/27*x**3 + 4*x - 28/27*x**4 - 28/27*x**6 + 23/15*x**5 + 0 + 50/189*x**7 + 0*x**2. Find w such that l(w) = 0.
0, 2/5, 1
Suppose 3*y - 4*h + 4 = 0, 1 = -5*y + 2*h + 13. Suppose y*z - 3*d - 55 = 1, 4*d = 0. Solve 16*r**2 + z*r**4 - r + 2*r**4 - 4*r**5 + 0*r**5 - 24*r**3 - 3*r = 0.
0, 1
Solve -406 + 75*m**3 - 120*m - 35*m**2 + 138 + 192 + 176 - 20*m**4 = 0.
-5/4, 1, 2
Suppose 0 = m + 1 - 4. Factor m*l**3 + 10*l + l - 12*l**2 + l.
3*l*(l - 2)**2
Let o(b) be the second derivative of b**7/8 + 3*b**6/10 - 15*b**5/16 - 25*b**4/8 - 3*b**3/2 + 3*b**2 + 36*b. Suppose o(s) = 0. Calculate s.
-2, -1, 2/7, 2
Let d(y) be the first derivative of 5*y**6/2 - 48*y**5/5 + 27*y**4/2 - 8*y**3 + 3*y**2/2 - 26. Find p, given that d(p) = 0.
0, 1/5, 1
Let w(s) be the first derivative of s**3/3 - 29*s**2 - 59*s - 715. Find k such that w(k) = 0.
-1, 59
Let a = -34 + 38. Suppose 0 - a = -h. Solve 6/7*y + 2/7*y**h - 12/7*y**3 + 6/7*y**5 - 4/7*y**2 + 2/7 = 0 for y.
-1, -1/3, 1
Let f(c) = -2*c**2 + 14*c - 2. Let z(i) = -5*i**2 + 43*i - 7. Suppose 2*r = 10 - 14. Let t(g) = r*z(g) + 7*f(g). Factor t(o).
-4*o*(o - 3)
Let s(x) be the third derivative of -x**6/360 + x**5/9 - 19*x**4/72 + 233*x**2. Factor s(l).
-l*(l - 19)*(l - 1)/3
Let q(v) = -12*v**4 + v**3 - 5*v**2 - 5*v + 5. Let m(x) = 18*x**4 - 2*x**3 + 8*x**2 + 8*x - 8. Let l(o) = -5*m(o) - 8*q(o). Factor l(h).
2*h**3*(3*h + 1)
Let p(m) be the third derivative of -m**5/90 + 25*m**4/36 - 46*m**3/9 - 302*m**2. Factor p(l).
-2*(l - 23)*(l - 2)/3
Let x(u) be the first derivative of -u**6/165 - 2*u**5/55 - 5*u**4/66 - 2*u**3/33 - 11*u + 2. Let l(c) be the first derivative of x(c). Let l(f) = 0. What is f?
-2, -1, 0
Let t be (-98)/(-180) + (-747)/(-13446). Let -3/5 + 3/5*x**2 - t*x + 3/5*x**3 = 0. Calculate x.
-1, 1
Let s(z) be the third derivative of 15*z**8/112 - 11*z**7/42 - 25*z**6/24 + 17*z**5/4 - 35*z**4/6 + 10*z**3/3 - 301*z**2. Solve s(f) = 0.
-2, 2/9, 1
Let b(x) be the third derivative of x**6/200 + 14*x**5/25 + 109*x**4/40 + 27*x**3/5 + 74*x**2 - 2. Let b(i) = 0. Calculate i.
-54, -1
Let f be 2/(-3) - 474/(-54). Let l = 76/9 - f. Determine n, given that l*n**4 - 1/3 + 0*n**2 + 2/3*n - 2/3*n**3 = 0.
-1, 1
Let q(i) = 4*i**2 - 13*i - 11. Let z(w) = w**2 - 1. Let y(t) = -q(t) + 2*z(t). Let n be y(7). Factor 0*c + 2/9 - 2/9*c**n.
-2*(c - 1)*(c + 1)/9
Let o(f) = 8*f**4 + 4*f**3 - 8*f**2 + 2*f + 6. Let g(w) = w**4 + 3*w + 1. Let s(j) = 6*g(j) - o(j). Factor s(y).
-2*y*(y - 2)*(y + 2)**2
Factor 16/9 - 20/9*p + 2/9*p**3 + 2/9*p**2.
2*(p - 2)*(p - 1)*(p + 4)/9
Let g(q) = 9*q**4 - 9*q**3 - 42*q**2 - 48*q - 18. Let t(y) = 16*y**4 - 18*y**3 - 85*y**2 - 97*y - 36. Let c(v) = -5*g(v) + 3*t(v). Factor c(z).
3*(z - 6)*(z + 1)**3
Let t be (2 - 6/9)*(4 + -10). Let a be (-2)/(-70) + t/(-20). Factor 18/7*b + a*b**2 + 27/7.
3*(b + 3)**2/7
Let s(c) be the first de