(j). Let y(n) = 0. Calculate n.
1, 2
Let m(d) be the second derivative of 5/54*d**4 - 4/27*d**3 - 1/3*d**2 + 1/45*d**5 - 17*d + 0. Suppose m(x) = 0. Calculate x.
-3, -1/2, 1
Let r(u) = u + 5. Let i be r(-4). Suppose 55*s = 60*s - 10. Factor 4*k**3 - 6*k**2 + i - 5 + 10*k**s - 4*k.
4*(k - 1)*(k + 1)**2
Let f(q) be the second derivative of 5/42*q**7 + 0 + 5/4*q**4 - 5/3*q**3 + 0*q**2 + 1/4*q**5 + 2*q - 1/2*q**6. Factor f(g).
5*g*(g - 2)*(g - 1)**2*(g + 1)
Let t(b) be the second derivative of b**5/30 + b**4/12 - 2*b**3/3 - 8*b**2 - 2*b. Let f(c) be the first derivative of t(c). Find x, given that f(x) = 0.
-2, 1
Factor 2/13*x**3 + 750/13 + 350/13*x + 50/13*x**2.
2*(x + 5)**2*(x + 15)/13
Let z(p) be the first derivative of -8/15*p**6 - 24/25*p**5 + 2/5*p**3 + 0*p - 1/10*p**2 - 1/20*p**4 + 10. Factor z(f).
-f*(f + 1)**2*(4*f - 1)**2/5
Let h(i) be the second derivative of i**4/20 + 14*i**3/5 + 78*i**2/5 - 34*i - 1. What is u in h(u) = 0?
-26, -2
Factor 3*z**2 + 76 - 36 - 40 + 3*z.
3*z*(z + 1)
Let q(n) = -14*n**3 + 38*n**2 + 44*n - 16. Let y(z) = -5*z**3 + 13*z**2 + 15*z - 6. Let m(b) = -3*q(b) + 8*y(b). Let m(s) = 0. Calculate s.
-1, 0, 6
Let l = -287658/5 + 57814. Let v = l + -282. Solve -2/5*h**2 + 4/5*h - v = 0.
1
Suppose -3*i + 1 = 10. Let b = 1 - i. Factor 0 - 3/2*m**3 + 2*m + 4*m**2 - 9/2*m**b.
-m*(m - 1)*(3*m + 2)**2/2
Suppose 5*k + 12 = 2*z, k - 4*k - 4 = 2*z. Let q be -2 - (-5 + (1 - k) + -3). Suppose -5/2*g**2 + 0 - g - 2*g**q - 1/2*g**4 = 0. Calculate g.
-2, -1, 0
Let g = 7253 + -36262/5. Solve 3/5*t**3 + 3/5*t**2 + 0 - g*t - 3/5*t**4 = 0 for t.
-1, 0, 1
Let b be (-4)/22 - 1*(-1574)/66. Let j = -349/15 + b. Let 0 - 1/5*o - 1/5*o**3 + j*o**2 = 0. Calculate o.
0, 1
Let u(n) = n**2 - 3*n - 82. Let g be u(0). Let j = g + 85. Factor 0 + 32/9*d + 2/9*d**j + 16/9*d**2.
2*d*(d + 4)**2/9
Determine r so that -980*r - 5*r**3 - 104*r**2 + 295 - 295 - 36*r**2 = 0.
-14, 0
Suppose -2*w - 2*w + 3*y + 13 = 0, -4*y + 6 = -2*w. Let t be (w - 3)/2 + 2. Find b such that 5*b**4 - 7*b**4 - 3*b**2 + 5*b**t = 0.
-1, 0, 1
Let f(y) be the second derivative of 9/4*y**2 - 7/16*y**4 + 0 + 19/8*y**3 - 23*y. Determine a so that f(a) = 0.
-2/7, 3
Let y = -5216 - -5220. Determine z so that 0*z + 2/9*z**2 + 0 + 2/9*z**y + 4/9*z**3 = 0.
-1, 0
Let k(v) = -v + 9. Let t(i) = -i**2 - 35*i - 27. Let d(q) = 6*k(q) + 2*t(q). Suppose d(p) = 0. What is p?
-38, 0
Find w, given that -7*w**4 - 88*w - 233*w**2 + 413*w**2 - 96*w**3 + 11*w**4 = 0.
0, 1, 22
Suppose -1/4*r**3 + 0 + 3/4*r**2 - 1/2*r = 0. What is r?
0, 1, 2
Suppose -2331*n = -2338*n. Suppose 1/4*o + 0*o**2 + 0*o**4 + 1/4*o**5 + n - 1/2*o**3 = 0. Calculate o.
-1, 0, 1
Let w(c) = -5*c**3 + 9*c**2 + 9*c + 3. Let q(r) = r**3 - 4*r**3 + 203*r + 6*r**2 + 2 - 197*r. Let d(l) = -8*q(l) + 5*w(l). Factor d(v).
-(v + 1)**3
Let z(t) be the third derivative of -t**8/840 + 2*t**7/105 - 7*t**6/75 + 4*t**5/25 + 969*t**2. Factor z(c).
-2*c**2*(c - 6)*(c - 2)**2/5
Suppose -5*k + 2*k - 9 = 0, -3*c - k + 21 = 0. Factor 2*i**4 + 3*i**3 - c*i**4 - 5*i**3.
-2*i**3*(3*i + 1)
Suppose -4 + 9 = r. Suppose 0 = -r*h + h + 8. Determine m, given that 0*m**2 - 15*m**2 + 3*m**h + 12*m + 0*m**2 - 9*m**3 = 0.
-2, 0, 2/3
Let p = 6510 + -32534/5. Find l, given that 2/5*l**2 - l**5 - 4/5*l**4 + 2/5 + p*l**3 - 11/5*l = 0.
-2, -1, 1/5, 1
Suppose 11 = q + 2*c, 7*c - 31 = -5*q + 3*c. Let r(k) be the first derivative of 4/3*k**q - 8*k**2 + 0*k - 1. Factor r(w).
4*w*(w - 4)
Let g(j) be the first derivative of -2*j**3/9 - j**2 + 12*j - 22. Find q, given that g(q) = 0.
-6, 3
What is h in -5*h + 11*h**2 - 5*h**3 + 4*h**2 - 3*h**2 - 2*h**2 = 0?
0, 1
Suppose 19 + 5 - 18 + 14 - 5*b**2 = 0. Calculate b.
-2, 2
Let f(z) = 4*z**3 - 8*z**3 + 5*z**3 + z. Let v(g) = g**4 - g**3 + 12*g**2 - 5*g + 3. Let a(c) = 10*f(c) - 2*v(c). Factor a(j).
-2*(j - 3)*(j - 1)**3
Let w(h) be the second derivative of -h**7/56 - h**6/20 + 3*h**5/4 + h**4/2 - 16*h**3 + 48*h**2 - 526*h. Factor w(y).
-3*(y - 2)**3*(y + 4)**2/4
Let l be ((-7)/(-35))/((7/3)/7). Let 6/5*v**3 + 0 + 0*v + 9/5*v**4 + l*v**5 + 0*v**2 = 0. What is v?
-2, -1, 0
Suppose 242 = 6*t - 8*t. Let m be t/(-33) - (-4)/(-6). Factor m - 2*n**2 + 2*n + 1 + 2 - 6*n.
-2*(n - 1)*(n + 3)
Let l = 75/176 - 4/11. Let m(j) be the first derivative of 1/4*j**2 + 1/12*j**3 - l*j**4 - 4 + 0*j. Suppose m(d) = 0. What is d?
-1, 0, 2
Let n(g) be the third derivative of g**5/10 - g**4/12 + g**3/6 - g**2. Let s be n(1). Factor -c**s + 6 - 6 + 2*c**2 + 3*c**3.
-c**2*(c - 2)*(c + 1)**2
Let d = -12 + 13. Factor -4*t + 2*t**4 - d - 9*t**2 + 4*t**3 - 2 + t**2 + 9.
2*(t - 1)**2*(t + 1)*(t + 3)
Let w = 33365 + -33363. Factor -4/7*m**w + 0 + 16/7*m.
-4*m*(m - 4)/7
Let r(w) be the third derivative of w**7/8820 - w**6/1260 + w**4/4 - 13*w**2. Let s(k) be the second derivative of r(k). What is o in s(o) = 0?
0, 2
Suppose -4*p - 15 = -5*o, 4*p = -4*o + 3*o + 3. Determine w so that 4*w**o - 8*w**3 - w**3 + 3*w + 2*w = 0.
-1, 0, 1
Let o(b) be the third derivative of 49*b**5/170 - 7*b**4/51 - 4*b**3/51 + b**2 - 20*b. Solve o(z) = 0 for z.
-2/21, 2/7
Let s(u) be the second derivative of -u**5/30 - 7*u**4/27 - 8*u**3/27 + 20*u - 1. Determine p so that s(p) = 0.
-4, -2/3, 0
Let t be (-6)/(-2) + (13 - 1). Factor 0*h**2 + 0*h**2 + t*h - h**2 + 6*h**2.
5*h*(h + 3)
Suppose 3*p + 2*a + 0 = -60, -3*p - 42 = -4*a. Let j be p/(-20) - 2*(-1)/(-4). Let -j*m**3 - 8/5 + 0*m + 6/5*m**2 = 0. Calculate m.
-1, 2
What is k in 2/11*k**2 - 2/11*k**4 + 0 + 10/11*k**3 - 10/11*k = 0?
-1, 0, 1, 5
Determine p so that -27*p + 11/2 - 5/2*p**2 = 0.
-11, 1/5
Let k be (-9)/(-6)*20/15. Factor -17*h - 3*h**4 + 2*h**4 - 13*h**k - 7 + 3 + 5*h - 6*h**3.
-(h + 1)**2*(h + 2)**2
Let t = -19 - -17. Let x be 0/(0/t - 2). Factor x*a**2 + 16*a**2 + 7*a**3 + 4*a + 12*a**3 - 7*a**3.
4*a*(a + 1)*(3*a + 1)
Let p(u) be the second derivative of u**6/60 - u**4/3 - 4*u**2 - 19*u. Let c(i) be the first derivative of p(i). Factor c(m).
2*m*(m - 2)*(m + 2)
Let t = 23 + -20. Factor 3*h**4 + t*h**3 - 3*h**2 + 0*h**2 + 26*h**5 - 29*h**5.
-3*h**2*(h - 1)**2*(h + 1)
Let r(z) = z**2 + 8*z - 20. Let h be r(-9). Let g be (429/(-10))/h + 9/(-6). What is b in -8/5 - g*b - 1/5*b**3 - 6/5*b**2 = 0?
-2
Let p(l) = -l**4 - 12*l**3 - 11*l**2 - 3*l - 3. Let y(h) = 4*h**4 + 36*h**3 + 32*h**2 + 8*h + 8. Let n = 4 + 4. Let z(j) = n*p(j) + 3*y(j). Factor z(o).
4*o**2*(o + 1)*(o + 2)
Let k(a) = 13*a**4 - 4*a**3 + 15*a**2 - 4*a - 14. Let s(g) = -2*g**4 + 2*g**3 - 1. Let i(n) = k(n) + 6*s(n). Determine o so that i(o) = 0.
-5, -2, 1
Let d(v) = -v**3 - 6*v**2 - 3*v - 3. Let s be d(-5). Let t = -10 - s. Let -3*j**4 + 5*j**2 - j**5 - 2*j**t - 6*j**2 - j**3 = 0. What is j?
-1, 0
Let t be ((-45)/(-25) - 2) + (-2816)/(-280) + -9. Find f, given that 3/7*f**2 + t*f + 0 = 0.
-2, 0
Let u(t) be the third derivative of -7*t**2 + 9/2*t**3 + 1/15*t**6 + 3/5*t**5 + 9/4*t**4 + 0 + 0*t. Suppose u(i) = 0. What is i?
-3/2
Let v = 41 + -31. Find q such that v*q - 2*q**2 - 4*q**2 + 5*q**2 - 5*q**3 + 6*q**2 = 0.
-1, 0, 2
Factor -2096*v**3 + 27*v**2 + 2100*v**3 + 144 - 7*v**2 + 32*v**2 + 160*v.
4*(v + 2)**2*(v + 9)
Suppose -27*q - 27763 = 58232. Let w = q - -22336/7. Find c such that 81/7*c**5 - 4/7 - 113/7*c**3 + 32/7*c - w*c**2 + 45/7*c**4 = 0.
-1, 2/9, 1
Determine q, given that -4/5*q**3 + 2/5*q**5 - 36/5*q**2 + 18/5 + 18/5*q**4 + 2/5*q = 0.
-9, -1, 1
Solve 0 + v**4 - 4*v + 0*v**3 + 1/4*v**5 - 4*v**2 = 0.
-2, 0, 2
Determine d so that -84/13*d - 2/13*d**2 - 882/13 = 0.
-21
Suppose 99*u = 96*u + 15. Let g(t) be the second derivative of 0 + 2*t + 0*t**3 + 0*t**2 + 1/42*t**4 - 1/70*t**u. Factor g(d).
-2*d**2*(d - 1)/7
Let a(q) = -6*q**3 - 23*q**2 - 8*q - 1. Let p(h) = -15*h**3 - 57*h**2 - 21*h - 3. Let b(w) = 12*a(w) - 5*p(w). Factor b(z).
3*(z + 1)**3
Let c be (31/(651/(-288)))/(6/(-28)). Suppose 2/3*x**4 + c*x**2 + 512/3*x + 512/3 + 32/3*x**3 = 0. Calculate x.
-4
Let a(m) be the third derivative of m**7/420 - m**6/20 + 11*m**5/60 + 7*m**4/4 + 49*m**3/12 + 3*m**2 - 2*m. Factor a(o).
(o - 7)**2*(o + 1)**2/2
Let h(t) be the first derivative of -t**4 - 28*t**3/3 - 8*t**2 + 64*t + 37. Let l(x) = -1. Let y(k) = h(k) + 16*l(k). Let y(r) = 0. What is r?
-6, -2, 1
Let b(x) = 20*x - 12*x**3 - 17*x - 28*x**2 + 4*x**2 + 25*x. Let r(o) = -8*o**3 - 16*o**2 + 19*o. Let g(w) = 5*b(w) 