3. What is k in u(k) = 0?
0, 1, 2
Let c = 9052/5 - 1810. Determine l so that 4/5*l - c*l**3 + 0 + 2/5*l**2 = 0.
-1, 0, 2
Factor 0 - 12/5*j**2 - 9/10*j**3 - 1/10*j**4 - 8/5*j.
-j*(j + 1)*(j + 4)**2/10
Let w(x) be the first derivative of x**4/30 - 14*x**3/45 - x**2/15 + 14*x/15 - 182. Factor w(g).
2*(g - 7)*(g - 1)*(g + 1)/15
Let u be ((-8)/(-20))/(0 + 2/10). Suppose 0*o**2 + o + 2*o**2 - o**2 - 2*o**u = 0. Calculate o.
0, 1
Solve -2/7*v**3 + 2/7*v + 18/7 - 18/7*v**2 = 0.
-9, -1, 1
Factor -5*g**2 + 3*g**2 + 4667 + 4*g**2 - 204*g + 535.
2*(g - 51)**2
Suppose 3*d - 6*d + 24 = 0. Let b(m) be the first derivative of 0*m**2 - d*m + 14/3*m**3 + 1/3*m**6 - 1 - 1/2*m**4 - 6/5*m**5. Find v, given that b(v) = 0.
-1, 1, 2
Let l be 6 - ((-6 - -3) + 16 + -14 + 7). Factor -3/4 + l*m**2 + 3/8*m**3 - 9/8*m.
3*(m - 2)*(m + 1)**2/8
Factor -1346*x**3 - 12*x + 3*x**4 - 1364*x**3 - 9 + 2722*x**3 + 6*x**2.
3*(x - 1)*(x + 1)**2*(x + 3)
Suppose -4*n = 4, 0 = -5*g + 7*n - 3*n + 14. Solve 1/8*y + 1/8*y**g + 0 = 0.
-1, 0
Let d = 41 + -38. Suppose d*q + n - 15 = -5, 5*n - 20 = 0. Solve 1/2 - h + 1/2*h**q = 0.
1
Let v(h) be the second derivative of h**7/14 + 2*h**6 + 291*h**5/20 - 31*h**4/2 - 170*h**3 - 300*h**2 + 2*h + 158. Let v(n) = 0. What is n?
-10, -1, 2
Factor -32*w**2 - 225*w + 0*w**4 - 178*w**3 - 4*w**4 - 73*w**2 + 282*w**3 - 12*w**4.
-w*(w + 1)*(4*w - 15)**2
Let f(i) be the third derivative of -i**7/2205 + i**6/315 - i**5/315 - i**4/63 + i**3/21 - 75*i**2. Find c, given that f(c) = 0.
-1, 1, 3
Let w(y) = -2*y - 4. Let k be w(-4). Let i be (0 + 3)*4/k. Factor -2 + f - 2 + 4*f**2 + i*f - 5*f**2.
-(f - 2)**2
Let x(c) = -86*c - 1376. Let k be x(-16). Let k - 4/11*g + 10/11*g**2 - 4/11*g**4 - 2/11*g**3 = 0. Calculate g.
-2, 0, 1/2, 1
Factor 0 + 144/5*y + 4/5*y**2.
4*y*(y + 36)/5
Let q(c) be the second derivative of 2*c**6/15 + 3*c**5 + 14*c**4/3 - 10*c - 2. Factor q(a).
4*a**2*(a + 1)*(a + 14)
Factor -66*w**4 + 306 + 335*w**4 + 40*w**4 - 306 + 126*w**3 - 15*w**5.
-3*w**3*(w - 21)*(5*w + 2)
Factor 6 - 5/2*l - 1/2*l**3 - 3*l**2.
-(l - 1)*(l + 3)*(l + 4)/2
Let -19*d - 19*d - 5 - 28*d + 56*d - 20*d**3 + 35*d**2 = 0. What is d?
-1/4, 1
Let d(g) be the first derivative of -g**6/27 - 2*g**5/15 - g**4/6 - 2*g**3/27 - 193. Let d(c) = 0. Calculate c.
-1, 0
Solve 0*b + 0 + 4/7*b**2 + 2/7*b**3 = 0.
-2, 0
Let q be -50 - 6/(-21)*-7. Let l = q - -54. Solve -2/19*j**3 + 6/19*j + 0 - 4/19*j**l = 0.
-3, 0, 1
Determine k, given that 334 - 25*k - k**2 + 329 - 687 = 0.
-24, -1
Suppose 3*d = 1 + 14. Suppose 10 + 6 = 2*w - d*r, -5*w + 25 = -5*r. Factor -2/3 + 7/3*h**w + 11/3*h - 16/3*h**2.
(h - 1)**2*(7*h - 2)/3
Let d = 78 + -75. Suppose -d = -6*w + 9. Factor 0 + 2/3*m + 2/3*m**w.
2*m*(m + 1)/3
Suppose 7*l - 2*l = 100. Factor -4*i**5 - 10*i**4 + l*i**4 - 10*i**4 + 4*i**3.
-4*i**3*(i - 1)*(i + 1)
Let v(o) = -8*o**3 + 42*o**2 - 78*o + 50. Let r(w) = 17*w**3 - 84*w**2 + 156*w - 102. Let a(k) = -6*r(k) - 13*v(k). Let a(l) = 0. Calculate l.
1, 19
Let n = -103 - -106. Let w = 3 + 2. Solve 1/2*h**4 - 1/2*h**2 + 0 + 0*h - 1/4*h**n + 1/4*h**w = 0 for h.
-2, -1, 0, 1
Let t(n) = 4*n**2 - 7*n - 9. Let x(s) = -3*s**2 + 5*s + 10. Let y(r) = 2*t(r) + 3*x(r). Solve y(g) = 0 for g.
-3, 4
Let m = -41 + 44. Let b be (-3)/6*(-12)/39. Factor -2/13*x**4 - b + 8/13*x - 12/13*x**2 + 8/13*x**m.
-2*(x - 1)**4/13
Let l be 1 + (-4)/2 - -3. Determine w so that -w**l + 3*w + 3*w + w - 5*w = 0.
0, 2
Suppose -1 = x - 3. Let r(z) = 4*z**2 + 5*z**4 + z**3 + 0*z**x + 6*z**3. Let b(v) = -26*v**4 - 36*v**3 - 21*v**2. Let p(q) = 6*b(q) + 33*r(q). Factor p(j).
3*j**2*(j + 1)*(3*j + 2)
Let a(p) be the third derivative of p**7/630 + p**6/360 - p**5/45 - p**4/18 + 12*p**2 - 2*p. Factor a(y).
y*(y - 2)*(y + 1)*(y + 2)/3
Let 121 - 24*d + 50*d**3 + 5*d**5 - 33*d - 151 + 30*d**4 + 2*d = 0. Calculate d.
-3, -2, -1, 1
Let h(t) be the second derivative of t**4/108 - 2*t**3/9 + 10*t**2/9 - 2*t - 41. Suppose h(j) = 0. Calculate j.
2, 10
Let b(d) be the third derivative of 10*d**2 - 1/15*d**4 - 1/50*d**5 + 0 + 1/1050*d**7 + 0*d**6 - 1/10*d**3 + 0*d. Factor b(a).
(a - 3)*(a + 1)**3/5
Let r(z) be the second derivative of -7*z**6/50 + 6*z**5/5 - 18*z**4/5 + 16*z**3/5 + 24*z**2/5 - 58*z - 2. Factor r(w).
-3*(w - 2)**3*(7*w + 2)/5
Let k = 985 + -88649/90. Let f(l) be the second derivative of 0*l**3 + 7*l + 1/20*l**5 + 0*l**2 + 0 - k*l**6 - 1/18*l**4. Factor f(w).
-w**2*(w - 2)*(w - 1)/3
Let o(q) be the first derivative of q**6/360 + q**5/90 + q**4/72 + 17*q**2/2 - 26. Let k(m) be the second derivative of o(m). Factor k(v).
v*(v + 1)**2/3
Suppose 3*v + 3*z - 14 = -2*z, -3*v + 3*z = -30. Factor -v*w + 20*w**3 - 6*w**4 + 0*w**4 - 2*w**4 - 4*w**2.
-4*w*(w - 2)*(w - 1)*(2*w + 1)
Let d be -4 + (-2 - -6) + 5. Let k = d - 1. Factor -3 - z**2 + 0*z + 5 - 3*z + k*z.
-(z - 2)*(z + 1)
Let g(b) be the second derivative of -1/35*b**5 - 8/7*b**2 + 2*b + 1/21*b**4 + 0 + 8/21*b**3. Let g(j) = 0. What is j?
-2, 1, 2
Suppose 3*k + 2*i = 7, 3 = -0*k + 5*k - i. Let q(h) = h**2 + h - 1. Let t(o) = 15*o**2 - 15*o + 20. Let c(m) = k*t(m) - 10*q(m). Determine b so that c(b) = 0.
2, 3
Let a = 1048 - 1048. Factor 0*c**2 + a + 2/9*c**3 + 2/9*c**4 + 0*c.
2*c**3*(c + 1)/9
Let b(l) = 2*l**2 - 5*l - 10. Let c be b(-3). Factor 27*z**2 + 0*z - 8*z - c*z**2 + 4.
4*(z - 1)**2
Let n be (0/(-2) - -3) + 7. Let t be 3 + (-1)/n*26. Determine c, given that -4/5*c - t + 4/5*c**3 + 0*c**2 + 2/5*c**4 = 0.
-1, 1
Let v be (-8)/(-12)*-1*-3. Let r be (-2 + 1)/(v/(-6)). Factor 4*t + t**3 - t**2 - 3*t**2 + 0*t**r.
t*(t - 2)**2
Let s(r) be the second derivative of -37*r + 0*r**2 - 9/4*r**4 - r**3 + 0. Suppose s(h) = 0. What is h?
-2/9, 0
Let j(c) be the third derivative of 1/260*c**6 + 0*c**3 + 0*c - 1/26*c**4 + 0 - 7/390*c**5 + 6*c**2. Factor j(o).
2*o*(o - 3)*(3*o + 2)/13
Let y(h) be the third derivative of 2*h**7/105 + 3*h**6/10 + 6*h**5/5 - 2*h**4/3 - 16*h**3 + 180*h**2. Factor y(g).
4*(g - 1)*(g + 2)**2*(g + 6)
Let h(q) be the third derivative of q**7/1155 + 7*q**6/660 + q**5/22 + 3*q**4/44 + 386*q**2. Factor h(p).
2*p*(p + 1)*(p + 3)**2/11
Let p be (4 - 486/117)/((-3)/39). Suppose 2/7*z**4 - 2/7*z**p + 0 + 1/7*z**3 + 0*z - 1/7*z**5 = 0. Calculate z.
-1, 0, 1, 2
Let n be (2/(-5))/(0 + 16/(-10)). Let l(m) be the second derivative of 0 + 1/48*m**4 - 6*m + 1/8*m**3 + n*m**2. Suppose l(h) = 0. Calculate h.
-2, -1
Let o(b) be the first derivative of 3/10*b**2 - 2/5*b**3 - 11 + 6/5*b - 3/20*b**4. Factor o(m).
-3*(m - 1)*(m + 1)*(m + 2)/5
Let l(r) be the first derivative of 4*r**3/3 + 22*r**2 - 168*r - 223. Let l(f) = 0. What is f?
-14, 3
Let s(u) = -168*u**4 - 372*u**3 + 336*u**2 + 5132*u + 6292. Let r(q) = 25*q**4 + 53*q**3 - 48*q**2 - 733*q - 899. Let j(n) = -20*r(n) - 3*s(n). Factor j(g).
4*(g - 4)*(g + 2)**2*(g + 14)
Let u(f) be the second derivative of -f**4/6 + 61*f**3/12 - 15*f**2/4 + 7*f - 5. Factor u(w).
-(w - 15)*(4*w - 1)/2
Suppose -9*l = -312 + 24. Let y be 2/l*2 - (-15)/(-120). Suppose 2/9*j**4 + 2/9*j**2 + 0*j + y + 4/9*j**3 = 0. What is j?
-1, 0
Let t(n) be the third derivative of n**6/210 - 11*n**5/105 + 5*n**4/21 + 60*n**2 + 2*n. Determine s, given that t(s) = 0.
0, 1, 10
Suppose -4*i - 13 = y, -10 = 4*y + 3*i - i. Let w be (y - 38/(-18)) + 24/36. Factor 8/9*c + 0 - w*c**2 + 10/9*c**3 - 2/9*c**4.
-2*c*(c - 2)**2*(c - 1)/9
Let c(n) be the second derivative of 4/3*n**3 + 0*n**2 + 10*n - 3/5*n**5 - 5/3*n**4 + 0. Suppose c(b) = 0. Calculate b.
-2, 0, 1/3
Let v(d) be the second derivative of 5*d**5/2 + 185*d**4/4 - 265*d**3/3 + 60*d**2 + 151*d. Let v(m) = 0. What is m?
-12, 2/5, 1/2
Let k(m) be the second derivative of -m**5/120 - 19*m**4/72 - m**3/2 + m + 9. What is z in k(z) = 0?
-18, -1, 0
Suppose -5*m + 21 = -t, -t - 14 = -0*m + 2*m. Let z be (2 + -8 + 4)/t*6. Let -1/4 + 3/4*i + 1/4*i**3 - z*i**2 = 0. What is i?
1
Let t(h) = 5*h**3 + 23*h**2 - 66*h - 18. Let m(j) = 9*j**3 + 46*j**2 - 131*j - 33. Let l(k) = -6*m(k) + 11*t(k). Factor l(s).
s*(s - 20)*(s - 3)
Let i be (-144)/240 + 1/((-5)/(-13)). Suppose 5*l**i - 5*l**2 - 100*l + 64*l + 4*l**2 = 0. What is l?
0, 9
Let t(b) be the first derivative of -2*b**5/15 + 10*b**4/9 - 2*b**3 + 10*b**2/9 + 159. Determine h so that t(h) = 0.
0, 2/3, 1, 5
Let x(m) be the second derivative of -m**7/126 - 11*m**6/90 - 7*m**5/10 - 17*m**4/9 - 20*m*