/5*y**m - 9/10*y**5 + 11/10*y**3 - 2/5*y + 2/5*y**2 + 0 = 0. Calculate y.
-1, 0, 2/3
Let l(a) be the second derivative of -a**4/6 - 36*a**3 - 2916*a**2 + 13*a - 2. Factor l(t).
-2*(t + 54)**2
Suppose -150*l + 4*o = -147*l + 4, -2*l + 2*o = 0. Let p(z) be the third derivative of -z**2 - 1/20*z**5 + 0 + 1/2*z**l + 0*z + 2*z**3 - 1/40*z**6. Factor p(i).
-3*(i - 2)*(i + 1)*(i + 2)
Let n = 20549/41094 + -1/20547. Factor 0*t + 3/2*t**3 + t**2 + n*t**4 + 0.
t**2*(t + 1)*(t + 2)/2
Let o(v) be the third derivative of 0*v**4 + 9*v**2 - 1/600*v**6 + 0 + 0*v**3 + 0*v + 1/300*v**5. Find z, given that o(z) = 0.
0, 1
Let h(g) be the second derivative of g**6/10 - 3*g**5/20 - g**4/4 + g**3/2 - 4*g + 1. Factor h(z).
3*z*(z - 1)**2*(z + 1)
Let c(j) be the third derivative of -j**6/360 - j**5/30 - j**4/6 + 10*j**3/3 + 20*j**2. Let n(p) be the first derivative of c(p). Let n(z) = 0. What is z?
-2
Let y(s) = -2*s**2 - s + 69. Let m be y(-6). Let m*b**3 + 3/2*b**4 + 6 - 6*b - 9/2*b**2 = 0. Calculate b.
-2, 1
Let x(k) be the first derivative of 15*k**4/2 + 58*k**3/3 - 8*k**2 - 24*k + 387. Factor x(u).
2*(u + 2)*(3*u - 2)*(5*u + 3)
Suppose r + 168 = 5*r. Let s = -40 + r. Let -3*n**3 + 0 - 15/2*n**s + 15/2*n**4 + 3*n = 0. What is n?
-1, 0, 2/5, 1
Suppose -4*i + 4*b + 200 = 7*b, -4*i = -3*b - 176. Let g = -43 + i. Solve -2/3*d**g - 1/6*d**5 - d**3 - 1/6*d + 0 - 2/3*d**2 = 0.
-1, 0
Let c(a) be the first derivative of 2/3*a**3 - 1/2*a**2 + 1/4*a**4 - 2*a - 1. Factor c(k).
(k - 1)*(k + 1)*(k + 2)
Let 0 - 8/13*d**3 - 82/13*d**2 - 20/13*d = 0. Calculate d.
-10, -1/4, 0
Suppose 0 = -98*p + 103*p. Suppose -16*k = -p*k + 5*k. What is n in k + 1/5*n**2 - 1/5*n = 0?
0, 1
Factor -13/2 - 1/2*v**2 + 7*v.
-(v - 13)*(v - 1)/2
Suppose -2*j = -d + 15 - 60, -20 = 4*d. Factor j*u - 20*u**2 + 5*u**3 - 2702 + 2702.
5*u*(u - 2)**2
Determine u so that -4/5*u - 38/5*u**3 + u**4 - 12/5 + 49/5*u**2 = 0.
-2/5, 1, 6
Let h(j) be the second derivative of j**6/15 - j**4/6 - 43*j. Factor h(b).
2*b**2*(b - 1)*(b + 1)
Let z = 20/43 + 3/86. Let -1/4*i**3 + 0 - z*i**4 + 0*i + 3/4*i**5 + 0*i**2 = 0. Calculate i.
-1/3, 0, 1
Let m be 8/(-220)*1320/(-180). Suppose m*u**3 + 0 + 0*u + 2/15*u**2 = 0. What is u?
-1/2, 0
Let q(n) = -3*n**2 + 97*n - 28. Let g be q(32). Factor -24 + g*v - 1/6*v**2.
-(v - 12)**2/6
Suppose -10*k = -26*k + 48. Let f be ((0 + -2)/(-2))/((-5)/(-20)). Factor -1/7*d**f - 32/7*d - 8/7*d**k - 24/7*d**2 - 16/7.
-(d + 2)**4/7
Let m(q) be the third derivative of q**5/120 + 5*q**4/48 - q**3/2 + 13*q**2 + 2. Find t, given that m(t) = 0.
-6, 1
Let c(k) be the third derivative of k**7/42 - 3*k**6/4 + 37*k**5/12 + 165*k**4/2 + 1210*k**3/3 + 10*k**2 + 6. Let c(f) = 0. What is f?
-2, 11
Let w = -4 - -18. Suppose -52*p + 55*p - 9 = 0. Factor 5*z - z**4 - 4*z**4 - z**2 - w*z**2 + 6*z**p + 9*z**3.
-5*z*(z - 1)**3
Factor -20/3 - 19/3*y + 1/3*y**2.
(y - 20)*(y + 1)/3
Let w be -25*(6/10 + -1). Let v be -1 + w + (-8 - -11). Find y such that 6*y - 18*y + 14*y**2 - 7*y**4 + 10*y**4 + 3 + 4*y**2 - v*y**3 = 0.
1
Let i = 73/115 - 10/23. What is l in 2/5 - 11/5*l**3 - 11/5*l**2 - i*l - 3/5*l**4 = 0?
-2, -1, 1/3
Find u, given that -u - 5*u - 42*u**2 + 7*u**3 + 56 - 4*u + 2*u - 2*u**4 + 13*u**3 = 0.
-1, 2, 7
Suppose -5 = q - 3*s, 2*s - 2 = -q + 3*q. Let p be q/2 + 9/6. Factor l**3 - l**2 - 2*l**2 + 5*l - p*l - 1.
(l - 1)**3
Let v(g) be the third derivative of g**6/40 + 41*g**5/20 - 85*g**4/8 + 43*g**3/2 + 38*g**2 - 2*g. What is a in v(a) = 0?
-43, 1
Let s(x) be the first derivative of -x**5/5 + 25*x**4/4 + 27*x**3 + 83*x**2/2 + 28*x - 104. Factor s(b).
-(b - 28)*(b + 1)**3
Find t such that 34*t - 5*t**3 + 13*t**3 - 12 - 66331*t**4 + 6*t**3 + 66329*t**4 - 34*t**2 = 0.
1, 2, 3
Let s(c) be the third derivative of -11*c**7/420 + c**6/30 + c**5/40 - 7*c**2 + 3*c. Suppose s(z) = 0. Calculate z.
-3/11, 0, 1
Factor -54 - 70*h - 11 + 476*h**2 - 481*h**2.
-5*(h + 1)*(h + 13)
Let p = 8 - 12. Let m(u) = -4*u**3 + u - 3. Let b(z) = 5*z**3 - z + 4. Let y(c) = p*m(c) - 3*b(c). Determine w so that y(w) = 0.
-1, 0, 1
Let k(j) be the third derivative of -j**6/360 + j**5/18 + 11*j**4/72 - 81*j**2. Let k(d) = 0. What is d?
-1, 0, 11
Let l(j) = 16*j + 21*j**2 - 9 + 2*j**3 + 2*j**3 + 4. Let f(y) = 4*y**3 + 20*y**2 + 16*y - 4. Let z(o) = -5*f(o) + 4*l(o). Factor z(h).
-4*h*(h + 2)**2
Let c(l) = l**4 + l**3 + l**2 + 2. Let g(n) = 68*n**4 - 28*n**3 - 568*n**2 + 288*n - 28. Let q(a) = 4*c(a) - g(a). Find h, given that q(h) = 0.
-3, 1/4, 3
Suppose 0 + 0*l + 20/9*l**2 - 20/9*l**4 - 2/9*l**5 + 2/9*l**3 = 0. Calculate l.
-10, -1, 0, 1
Let b(g) be the third derivative of g**5/150 - g**4/20 - 4*g**3/15 + 10*g**2 - 1. Factor b(n).
2*(n - 4)*(n + 1)/5
Let r(c) = -c**2 - 22*c + 7. Let s(b) = -b**2 - 21*b + 6. Let d(g) = 6*r(g) - 7*s(g). Let o(z) = 2*z**2 + 29*z. Let q(l) = -10*d(l) + 6*o(l). Factor q(n).
2*n*(n + 12)
Let n = 3580 - 3580. Factor 0 + 0*u - 2/7*u**3 + 2/7*u**4 + n*u**2.
2*u**3*(u - 1)/7
Let t(h) = -2*h**3 - 2*h - 2. Suppose -4*y + 12 = 0, -4*n - 5*y + 43 = 112. Let z = 20 + n. Let b(m) = -m**2 - m - 1. Let q(v) = z*t(v) + 2*b(v). Factor q(o).
2*o**2*(o - 1)
Let m(f) be the first derivative of -4 - 2*f**2 + 0*f + 0*f**3 + 1/30*f**5 - 1/36*f**4. Let l(j) be the second derivative of m(j). Determine u so that l(u) = 0.
0, 1/3
Let j(t) = t**2 + 41*t + 16. Let y be j(-33). Let g = y + 254. Factor 2/3 + 2*l + 10/3*l**3 - g*l**2.
2*(l - 1)**2*(5*l + 1)/3
Let y(d) be the second derivative of -d**4/60 - 14*d**3/15 + 29*d**2/10 + 38*d. Factor y(w).
-(w - 1)*(w + 29)/5
Suppose 5*t = 4*w - 13, -2*t + t = 3*w - 5. Let -5/4*u**w - 1/4*u**4 + 3/4*u + 11/12*u**3 - 1/6 = 0. Calculate u.
2/3, 1
Suppose -2*y + 1 - 7 = 2*i, 4*y + 2*i = -6. Let f(h) be the first derivative of -3/20*h**4 - 2/15*h**3 + 12 + y*h + 1/10*h**2. Factor f(a).
-a*(a + 1)*(3*a - 1)/5
Suppose -20 = 32*h - 33*h. Suppose -8*j = 4 - h. Factor -1/2*a**j + 3*a - 9/2.
-(a - 3)**2/2
Let o(v) be the first derivative of -v**5/160 - 3*v**4/64 - v**3/8 - 31*v**2/2 + 7. Let x(j) be the second derivative of o(j). Determine f, given that x(f) = 0.
-2, -1
Let x = -738 - -745. Let s(t) be the third derivative of 0*t**3 + 0*t**5 - 1/175*t**x - 3/560*t**8 + 0 - 1/600*t**6 + 6*t**2 + 0*t**4 + 0*t. Factor s(m).
-m**3*(3*m + 1)**2/5
Let s(o) be the third derivative of o**6/60 + o**5/6 - o**4/12 - 5*o**3/3 + 612*o**2. Suppose s(k) = 0. What is k?
-5, -1, 1
Let o(x) be the third derivative of -x**7/105 - 19*x**6/60 - 7*x**5/2 - 49*x**4/12 + 686*x**3/3 - 78*x**2. Factor o(y).
-2*(y - 2)*(y + 7)**3
Let b(x) be the first derivative of x**9/10584 - x**8/5880 - x**7/588 - x**6/420 - 2*x**3/3 - 31. Let o(w) be the third derivative of b(w). Factor o(y).
2*y**2*(y - 3)*(y + 1)**2/7
Suppose -4*z + 9 = -q, 5*q + 16 + 29 = 5*z. Find s, given that -2/21*s**2 + 2/21*s + z = 0.
0, 1
Let l(o) = 12*o - 2. Let p be l(1). Let v be ((-9)/(-5))/(p/50). Factor -28*g**3 + 19 + 20*g**2 - v + 8*g - 10.
-4*g*(g - 1)*(7*g + 2)
Find b, given that 6/17*b**3 - 16/17*b + 0 + 20/17*b**2 = 0.
-4, 0, 2/3
Let z(v) = v**2 - v + 1. Let q(j) be the third derivative of -j**5/12 + 5*j**4/24 - j**3 - 18*j**2. Let u(m) = -q(m) - 6*z(m). Suppose u(g) = 0. What is g?
0, 1
Let l(s) be the third derivative of -s**7/280 + s**6/120 + s**5/20 + 4*s**3/3 + 2*s**2. Let v(g) be the first derivative of l(g). Factor v(c).
-3*c*(c - 2)*(c + 1)
Let r(i) be the first derivative of -i**6/24 + 3*i**5/20 + i**4 - i**3/3 + 4. Let h(b) be the third derivative of r(b). Factor h(j).
-3*(j - 2)*(5*j + 4)
Let h(f) be the third derivative of 7*f**5/20 + 3*f**4/2 - 2*f**3 - 88*f**2. Solve h(s) = 0.
-2, 2/7
Factor -10/7*w - 12/7 - 2/7*w**2.
-2*(w + 2)*(w + 3)/7
Let j = -14 - -16. Suppose -y = 4*f - 6*y - 2, -f = j*y - 7. Factor 17*n - f*n**2 - 1 + 5*n**2 - 5*n + 19.
2*(n + 3)**2
Let s(i) = -i**2 - 8*i + 1. Let n be s(-8). Let x(q) = q + 1. Let g(u) = -4*u**2 - 28*u - 20 - 8 + 8. Let r(h) = n*g(h) + 20*x(h). Factor r(p).
-4*p*(p + 2)
Let b = -722 - -722. Let q(v) be the first derivative of 13/4*v**4 + 4/5*v**5 + b*v - 7 + 0*v**2 + v**3. Factor q(j).
j**2*(j + 3)*(4*j + 1)
Let c(z) be the third derivative of -z**5/150 - 2*z**4/15 - z**2 - 111. Let c(r) = 0. What is r?
-8, 0
Let c(w) be the third derivative of w**6/360 - 4*w**5/45 - 17*w**4/72 - 51*w**2. Factor c(u).
u*(u