ve of -1/9*l**3 - 1/24*l**4 - 1/180*l**5 + 0*l + 0 - 2*l**o. Find k such that f(k) = 0.
-2, -1
Let x(q) be the third derivative of 1/30*q**5 + 0*q + 8*q**2 - 1/6*q**4 - q**3 + 0. Factor x(t).
2*(t - 3)*(t + 1)
Let c be 606/220*(-12)/9. Let j = -36/11 - c. Factor -j*v + 1/5 + 1/5*v**2.
(v - 1)**2/5
Suppose 59*v - 60*v + 2 = 0. Let 0 - 2/3*n**4 + 2/3*n - 2*n**2 + v*n**3 = 0. Calculate n.
0, 1
Suppose -4*t - 2*w = 6, 0*w = 4*t - 3*w - 9. Let y(n) be the first derivative of -2/21*n**3 + 1/14*n**4 + 0*n**2 + 1 + t*n. Factor y(c).
2*c**2*(c - 1)/7
Let t(m) = -3*m - 5. Let r be t(-7). Factor 4*b + 6*b - 2*b + 3*b**2 + r - 2*b**2.
(b + 4)**2
Factor -4*i**3 - 2*i**2 - 4 + 4*i**2 + 4*i + 2*i**2.
-4*(i - 1)**2*(i + 1)
Let o = 12 - 71/6. Let u(t) be the first derivative of -2 - o*t**3 + 0*t - 1/2*t**2. Solve u(g) = 0.
-2, 0
Suppose 0 = 4*u - 3*i - 9, -2*i - 3*i = 3*u - 14. Find t, given that -12/7*t**2 - 4/7*t**4 - 4/7*t + 0 - 12/7*t**u = 0.
-1, 0
Let r(o) be the third derivative of -o**6/240 - o**5/8 - o**4 + 16*o**3/3 - 5*o**2 - 3. Let r(k) = 0. Calculate k.
-8, 1
Let o be 19/6 - (-4 - (4 - 11)). Let s(b) be the second derivative of -3*b + 0*b**2 + o*b**3 - 1/12*b**4 + 0. Factor s(w).
-w*(w - 1)
Let u(v) be the second derivative of v**5/70 - v**3/7 - 2*v**2/7 + 4*v. Factor u(b).
2*(b - 2)*(b + 1)**2/7
Let m(z) be the second derivative of -z**4/4 + 10*z**3 - 150*z**2 - 9*z. Factor m(j).
-3*(j - 10)**2
Suppose 92 = 5*q - 58. Let h = 91/3 - q. Let h + v**2 - 4/3*v = 0. What is v?
1/3, 1
Let u = -35 - -38. Find x such that 0*x**2 + 0 + 2/7*x**5 - 4/7*x**u + 2/7*x + 0*x**4 = 0.
-1, 0, 1
Let m(c) be the second derivative of -c**5/5 + 2*c**4/3 - 2*c**3/3 + 8*c. Factor m(n).
-4*n*(n - 1)**2
Let s(k) be the second derivative of k**7/273 - 2*k**6/195 + k**5/130 + 20*k. Suppose s(z) = 0. Calculate z.
0, 1
Suppose -15 = -5*b, q - 4*b = -0 - 10. Suppose 0 = -q*w - 4*t - 2, -5*w = 2*t - t - 13. Factor -4*z**4 + 3*z - z**5 + 0*z - 4*z - 4*z**2 - 6*z**w.
-z*(z + 1)**4
Let o = -77 - -81. Factor -8/9*f**3 + 0 + 4/9*f + 2/3*f**o - 2/9*f**2.
2*f*(f - 1)**2*(3*f + 2)/9
Suppose 7*q - 21*q = 5*q. Let r = -42 + 212/5. Factor 4/5*c**2 - 6/5*c**3 + r*c**4 + 0 + q*c.
2*c**2*(c - 2)*(c - 1)/5
Factor 27*k**2 + 10*k - 12*k**2 - 7*k.
3*k*(5*k + 1)
Let r(a) be the first derivative of -a**6/33 - 4*a**5/55 + 4*a**3/33 + a**2/11 - 2. Factor r(s).
-2*s*(s - 1)*(s + 1)**3/11
Suppose 4*j + j + 75 = 0. Let f be (6/5)/((-2)/j). Solve 2 - f*a - 5*a - 4*a + 48*a**2 - 32*a**3 = 0.
1/4, 1
What is b in -22*b**2 + 32*b**2 + 3*b - 3*b - 2*b**3 = 0?
0, 5
Let d(w) = w**2 - 2*w - 3. Let h be d(-3). Let a = 15 - h. Find z such that 1/3*z**a - 1/3*z**2 + 0 + 0*z = 0.
0, 1
Suppose -4 = 3*f - 5*f. Suppose -f*p + 3*z - z = -2, -3*p - 4*z = -24. Solve 5/4*m**p + 1/4*m - 13/4*m**3 + 9/4*m**2 - 1/2 = 0.
-2/5, 1
Suppose 8*t - 16 = 4*t. Let p(l) = l**2 - 2*l - 8. Let r be p(t). Factor 0*o + 1/2*o**2 + 0*o**3 - 8*o**4 + r.
-o**2*(4*o - 1)*(4*o + 1)/2
Let z be 3/((-4 + 2)*2/(-4)). Find m such that -4/5*m + 0 - 2/5*m**4 - 2*m**2 - 8/5*m**z = 0.
-2, -1, 0
Let y(p) be the third derivative of p**5/75 + 4*p**4/15 + 32*p**3/15 - 2*p**2. Let y(t) = 0. Calculate t.
-4
Factor -3*r**2 + 310*r - 155*r - 155*r.
-3*r**2
Suppose -3*p - 6 = -w, 3*w = p + 4*p + 10. Let n = p + 7. Factor -c**3 - 4*c**4 - 2*c**n + 4*c**2 + 5*c**5 - c + c**3 - 2*c**3.
c*(c - 1)**2*(c + 1)*(3*c - 1)
Suppose 125 = -2*k - 3*k. Let n be (-20)/(-42)*(-30)/k. Suppose n*r**4 - 2/7*r**5 + 0*r**2 + 0*r - 2/7*r**3 + 0 = 0. What is r?
0, 1
Let 6*t - 2*t**2 + 7*t + 8 + 6*t**2 - t = 0. What is t?
-2, -1
Suppose 7/3*l**5 + 5*l + 50/3*l**3 - 10*l**4 - 2/3 - 40/3*l**2 = 0. Calculate l.
2/7, 1
Let h(t) be the second derivative of -t**7/231 + t**5/55 - t**3/33 - 8*t. What is j in h(j) = 0?
-1, 0, 1
Let f(c) be the second derivative of c**7/105 - c**5/25 + c**3/15 + 8*c. Factor f(u).
2*u*(u - 1)**2*(u + 1)**2/5
Suppose 2*v + 2*v + 16 = 2*i, 2*i - 5*v - 19 = 0. Factor 2*c**i + 0*c - 4*c - 4*c**2 + 0*c**2.
-2*c*(c + 2)
Let o(d) be the first derivative of -d**4/22 - 2*d**3/33 + d**2/11 + 2*d/11 - 13. Factor o(x).
-2*(x - 1)*(x + 1)**2/11
Let w = -49 + 52. Let f(m) be the second derivative of -1/120*m**6 - 2*m + 0 - 1/16*m**4 + 3/80*m**5 + 1/24*m**w + 0*m**2. Suppose f(x) = 0. Calculate x.
0, 1
Let r(h) be the third derivative of h**6/540 - 11*h**5/270 + 8*h**4/27 - 28*h**3/27 + 42*h**2. Let r(u) = 0. What is u?
2, 7
Factor 0*j + 0*j**4 - 1/3*j**3 + 0*j**2 + 0 + 1/3*j**5.
j**3*(j - 1)*(j + 1)/3
Let c be 2/3 - (-34)/51. Find r, given that -c*r**4 + 4/3*r**3 + 2/3 - 5/3*r + 1/3*r**5 + 2/3*r**2 = 0.
-1, 1, 2
Let x(k) be the first derivative of -2*k**5/5 - k**4 - 2*k**3/3 - 26. Find t such that x(t) = 0.
-1, 0
Let s(i) be the first derivative of 0*i - 3 + 4/35*i**5 + 0*i**2 + 1/14*i**4 - 2/21*i**3. Let s(v) = 0. What is v?
-1, 0, 1/2
Let t(y) be the third derivative of y**8/672 + y**7/210 - y**6/240 - y**5/60 - 19*y**2. Determine p so that t(p) = 0.
-2, -1, 0, 1
Let k(j) = -4*j**2 + 9*j + 1. Let h(c) be the first derivative of 5*c**3/3 - 9*c**2/2 + 3. Let z(b) = 6*h(b) + 4*k(b). Solve z(r) = 0 for r.
2/7, 1
Let c(b) = 8*b**3 - 2*b**2 - 8*b + 2. Let w(g) = 7*g**3 - 2*g**2 - 7*g + 2. Let u = 6 - 12. Let l(a) = u*w(a) + 5*c(a). Factor l(j).
-2*(j - 1)**2*(j + 1)
Let z(o) be the first derivative of -o**6/39 - 4*o**5/65 - o**4/26 - 1. Factor z(h).
-2*h**3*(h + 1)**2/13
Factor 48 + 484*n**2 + 264*n + 2662/9*n**3.
2*(11*n + 6)**3/9
Let t(o) be the first derivative of -o**6/9 + 2*o**5/15 + o**4/2 - 2*o**3/9 - 2*o**2/3 - 6. Let t(k) = 0. What is k?
-1, 0, 1, 2
Let t(w) be the second derivative of -1/126*w**7 + 0*w**2 - 1/18*w**3 - 2/45*w**6 + 0 - 1/10*w**5 - 1/9*w**4 + 4*w. Determine b so that t(b) = 0.
-1, 0
Let t be (-8)/(-96) + (-1235)/(-300). What is i in -6/5*i**2 - 3*i**4 + 0 + t*i**3 + 0*i = 0?
0, 2/5, 1
Let s(a) be the second derivative of a**6/210 - a**5/70 - a**4/28 + 2*a**3/21 + 2*a**2/7 + 4*a. Solve s(o) = 0.
-1, 2
Factor -3*i**2 + 56*i - 28*i - 25*i.
-3*i*(i - 1)
Let q(r) be the third derivative of -r**5/30 - r**4/2 - 3*r**3 + 5*r**2. Determine u, given that q(u) = 0.
-3
Let b(i) be the third derivative of i**6/540 + i**5/90 + i**4/54 - 32*i**2. Factor b(w).
2*w*(w + 1)*(w + 2)/9
Determine u so that -7*u - 948*u**2 + 950*u**2 - u + 8 = 0.
2
Let y(p) be the third derivative of -25*p**8/2016 + p**7/252 + 29*p**6/180 - 2*p**5/45 - 4*p**4/9 - 4*p**3/9 - 7*p**2. Determine k so that y(k) = 0.
-2, -2/5, 1, 2
Suppose -3*c = -2*c. Suppose 16 = 2*f - 4*g, c*f - 5*g = -3*f + 20. Factor -2/3*s**2 + 2/3*s**4 + f + 2/3*s**3 - 2/3*s.
2*s*(s - 1)*(s + 1)**2/3
Suppose 0 = 3*f - f. Suppose 126*t + 3 = 127*t. What is q in 1/6*q + f*q**2 - 1/6*q**t + 0 = 0?
-1, 0, 1
What is s in 2/7 + 11/7*s**3 + 3/7*s**4 + 9/7*s + 15/7*s**2 = 0?
-1, -2/3
Let j(f) be the first derivative of -15*f**4/16 - f**3/12 + f**2/4 + 13. Determine k, given that j(k) = 0.
-2/5, 0, 1/3
Factor 3 - 10*a - 4*a**2 + 13*a**2 - 6*a**2.
(a - 3)*(3*a - 1)
Suppose -4*x = -17 + 9. Factor 0 - 3/2*w + 3/4*w**x.
3*w*(w - 2)/4
Let g(t) be the first derivative of t**4/20 + 2*t**3/15 + t**2/10 - 7. Let g(i) = 0. What is i?
-1, 0
Suppose 4*r = 5*c + 11 + 22, -36 = 3*c + 3*r. Let h be (2/c)/(8/(-48)). Solve h - 2*f**2 - 2/3*f = 0.
-1, 2/3
Factor -10*z - 3*z - z - 3*z**2 + 8*z.
-3*z*(z + 2)
Let l = 137 + -957/7. Let s be 1/1 - (-5 - -4). Determine n so that 2/7*n**3 + 6/7*n - 6/7*n**s - l = 0.
1
Let s = -7 + 7. Let n = 12 - 4. Suppose -n*c + 0*c**3 + s*c - 6*c**3 - 2*c**3 + 2*c**4 + 2 + 12*c**2 = 0. What is c?
1
Let r be 21/(-28) + 69/60. Let i(y) be the first derivative of -1/3*y**4 + 0*y**3 + 0*y**2 + 0*y - 1/9*y**6 - r*y**5 + 1. What is m in i(m) = 0?
-2, -1, 0
Let h(s) be the third derivative of -s**5/30 + s**4/12 + 2*s**2. What is j in h(j) = 0?
0, 1
Let z(a) = -a**3 - 7*a**2 - 2*a + 1. Let c(f) = 3*f**3 + 20*f**2 + 7*f - 2. Let y(g) = 3*c(g) + 8*z(g). Factor y(q).
(q + 1)**2*(q + 2)
Let o(d) be the first derivative of 25*d**4/12 - 70*d**3/9 + 22*d**2/3 - 8*d/3 + 1. Factor o(s).
(s - 2)*(5*s - 2)**2/3
Let p(l) = 2*l**2 + 3. Let m(k) = -1. Let t(d) = -3*m(d) - p(d). Solve t(f) = 0.
0
Suppose 6*n - 7*n + 2 = 0. Let 0*l + 0*l**3 - 4/3*l**n + 2/3*l**4 + 2/3 = 0. What is l?
-1, 1
Let m(r) = 4*r + 38. Let t be m(-9). Solve 0 + 0*g + 2/