 -1/12*i**4 + 0*i**3 + b*i + 0*i**2 - 6. Factor t(h).
-h**3/3
Let s(u) be the second derivative of 5*u**7/42 - 5*u**6/6 + 171*u**5/100 - 11*u**4/12 - 14*u**3/15 + 6*u**2/5 + 10*u + 1. Determine w so that s(w) = 0.
-2/5, 2/5, 1, 3
Solve 4 - 9/4*k**2 + 1/4*k**3 + 3/2*k = 0.
-1, 2, 8
Let c = -4423/3 - -1475. Let 2/3*p**4 + 2*p**3 + 4/3*p + 0 - c*p**5 - 10/3*p**2 = 0. Calculate p.
-2, 0, 1
Let q(h) be the first derivative of -5/33*h**6 + 0*h + 0*h**4 + 0*h**2 - 12 + 0*h**3 - 4/55*h**5. Let q(i) = 0. What is i?
-2/5, 0
Let y be 6/(-2) - (-36)/(-2). Let t = -19 - y. Let 0*r**2 + 0*r**2 + 6*r**2 - t*r**3 - 4*r**2 = 0. What is r?
0, 1
Suppose 2*d + 6 = 3*g, 5*g = 5*d - 7 + 17. Suppose 0 - 4/5*h - 2/5*h**3 - 6/5*h**g = 0. What is h?
-2, -1, 0
Let f(g) be the second derivative of -g**7/84 + 7*g**6/60 - 9*g**5/20 + 5*g**4/6 - 2*g**3/3 + 5*g - 1. Factor f(n).
-n*(n - 2)**3*(n - 1)/2
Suppose 7*g - 3*g + 23 = -3*x, 11 = 2*g - 3*x. Let q be (((-1)/(-1))/((-1)/g))/6. Solve 0 - 4/3*t**2 - q*t**3 - 4/3*t = 0.
-2, 0
Let j(f) be the first derivative of 7*f**6/8 + 9*f**5/2 + 3*f**4/2 - 28*f**3 - 54*f**2 - 24*f - 178. Solve j(m) = 0.
-2, -2/7, 2
Let g(w) = w**3 + 14*w**2 + w + 26. Let p be g(-14). Solve 3*v**3 + 2*v**3 + 25*v - 57*v + p*v = 0.
-2, 0, 2
Let i be -2 + (0 - -2) + 680/255. Let u = -19 + 58/3. Factor -3*t**4 - u - i*t - 8*t**3 - 22/3*t**2.
-(t + 1)**2*(3*t + 1)**2/3
Let b(h) = 10*h**2 - 104*h + 1250. Let a(j) = -18*j**2 + 207*j - 2500. Let n(l) = -4*a(l) - 7*b(l). Factor n(d).
2*(d - 25)**2
Determine q so that 16*q**3 - 31/3*q**4 + 22/3*q**2 - 4/3*q**5 + 3 - 44/3*q = 0.
-9, -1, 1/4, 1
Let h(m) be the third derivative of -38*m**2 + 0*m - 1/15*m**5 - 1/30*m**6 + 0 + 0*m**3 + 0*m**4. Factor h(y).
-4*y**2*(y + 1)
Let q(m) = 35*m**3 + 31*m**2 + 8*m + 15. Let o(u) = -18*u**3 - 16*u**2 - 4*u - 6. Let v(b) = 5*o(b) + 2*q(b). What is d in v(d) = 0?
-1/2, -2/5, 0
Let v(u) = 11*u**2 - 137*u - 133. Let p(h) = -16*h**2 + 205*h + 200. Let s(a) = -5*p(a) - 7*v(a). Solve s(w) = 0 for w.
-1, 23
Let r = 4220 - 46418/11. Factor 2/11*y**2 - 4/11 - r*y.
2*(y - 2)*(y + 1)/11
Factor 0 + 4/7*y**2 - 10/7*y**3 + 0*y.
-2*y**2*(5*y - 2)/7
Let g be 2/(-1) + (-24)/(-15) - (-11904)/10560. Determine x, given that g*x**3 + 0*x + 0 + 8/11*x**2 + 2/11*x**4 = 0.
-2, 0
Let x be (-1)/(-5)*22 + 66/(-165). Suppose 7*r = -2*r. Suppose r*u**3 + 0*u - 3/2 + 3*u**2 - 3/2*u**x = 0. What is u?
-1, 1
Let r be 3/(-12) + (-243)/(-12). Suppose r = 5*o - 0. Suppose 3*l**2 - 4 - 10*l**o + 4*l**4 + 2*l + 7*l**2 - 2*l**3 = 0. Calculate l.
-1, 2/3, 1
Factor 11*c**5 - 11762*c**3 + 11757*c**3 - 6*c**5.
5*c**3*(c - 1)*(c + 1)
Let v = 22729/24 - 947. Let j(s) be the second derivative of 3*s + 1/120*s**5 + 1/18*s**3 + 0 + v*s**4 + 0*s**2. Factor j(n).
n*(n + 1)*(n + 2)/6
Let m(h) be the third derivative of -h**6/80 - h**5/8 - 3*h**4/16 + 9*h**3/4 + 244*h**2. Factor m(c).
-3*(c - 1)*(c + 3)**2/2
Factor 2/7*u**3 + 46/7*u**2 + 0*u + 0.
2*u**2*(u + 23)/7
Let f(z) be the third derivative of 15*z**2 - 3*z**3 + 0*z - 19/30*z**5 - 11/4*z**4 + 0 - 1/20*z**6. Solve f(t) = 0.
-3, -1/3
Let l(d) = 7*d**2 + 12*d + 11. Let g(z) = 5*z**2 + 11*z + 10. Let r(x) = 3*g(x) - 2*l(x). Factor r(b).
(b + 1)*(b + 8)
Suppose 6 = 3*i + r, -i - 1 = 2*r - 3. Factor 8*b - 3*b**2 + 5*b**i + 2*b + 8.
2*(b + 1)*(b + 4)
Let n(v) be the third derivative of v**7/42 - 11*v**6/24 + 37*v**5/12 - 75*v**4/8 + 15*v**3 + v**2 - 98. Factor n(w).
5*(w - 6)*(w - 3)*(w - 1)**2
Let b(v) be the second derivative of -1/54*v**3 + 0*v**2 + 0 + 1/180*v**5 - 1/90*v**6 + 5*v + 1/36*v**4. Factor b(j).
-j*(j - 1)*(j + 1)*(3*j - 1)/9
Let a be 6/2 + (-5106)/30. Let h = a - -168. Factor h + 2/5*p**2 + 6/5*p.
2*(p + 1)*(p + 2)/5
What is s in 2*s - 3775*s**3 + 6*s**4 + 3774*s**3 - s**5 - 3*s**4 - 3*s**2 = 0?
-1, 0, 1, 2
Solve 9*v**2 - 1/2 + 3/4*v - 73/4*v**3 + 9*v**4 = 0.
-2/9, 1/4, 1
Let x(f) = -2*f**2 + 2*f. Let v(g) = -3*g**2 + 3*g. Let k(i) = -3*v(i) + 5*x(i). Let u(s) = -7*s**2 + 3*s + 4. Let y(m) = 18*k(m) - 2*u(m). Factor y(b).
-4*(b - 2)*(b - 1)
Let h(j) be the second derivative of 0*j**2 - 337/4*j**5 - 280/3*j**7 - 140*j**6 - 25*j**4 + 25*j + 0 - 10/3*j**3. Suppose h(u) = 0. Calculate u.
-2/7, -1/4, 0
Suppose 4*d = w - 22, 5*d = 4*w - w - 31. Suppose 5*q - 6 = 4*s + 10, 5*s + 20 = w*q. Suppose 0*l + q*l**2 - 1/3*l**5 + 2/3*l**4 - 1/3*l**3 + 0 = 0. What is l?
0, 1
Let p(y) = 81*y**3. Let t be p(-1). Let m = -77 - t. Suppose -2/5 + 4/5*k**3 + 2/5*k**m + 0*k**2 - 4/5*k = 0. What is k?
-1, 1
Suppose -t = t - 12. Let h be t/28 - (-8)/28. Suppose 0*i + 0 + 3/2*i**3 + h*i**2 + 1/2*i**5 + 3/2*i**4 = 0. What is i?
-1, 0
Determine m so that -14/3*m**3 - 10/3*m**4 + 2/3*m**5 + 4*m + 0 + 10/3*m**2 = 0.
-1, 0, 1, 6
Let i = 985 + -985. Let j(y) be the third derivative of 0*y**6 - 1/210*y**7 + 0*y + i + 0*y**3 + 1/20*y**5 + 1/12*y**4 + 3*y**2. Suppose j(b) = 0. Calculate b.
-1, 0, 2
Let f(r) = -2*r. Suppose 2*q - 6 = -b - 2*q, 0 = -b - q + 3. Let a(i) = -i**b + 2*i + 4*i - i - 4*i. Let m(t) = 2*a(t) - f(t). Factor m(x).
-2*x*(x - 2)
Let q(t) be the third derivative of t**6/60 - 2*t**5/15 - 5*t**4/12 + 18*t**2 - t. Solve q(k) = 0 for k.
-1, 0, 5
Let k(j) be the second derivative of 1/60*j**4 + 121/10*j**2 + 0 - 20*j - 11/15*j**3. Factor k(i).
(i - 11)**2/5
Let s(o) be the third derivative of 8*o**6/15 - 21*o**5/5 + 10*o**4 + 8*o**3/3 - 32*o**2. Suppose s(k) = 0. What is k?
-1/16, 2
Let u(o) = -o**3 + 4*o**2 + 6*o - 3. Let v be u(5). Suppose 2*f - v*z = 150, -4*z + 0*z = f - 50. Find y, given that -4*y**2 + 36*y + 30*y - f*y = 0.
-1, 0
Let q be (-6 - (6 + -12))/((-3)/(-1)). Let d(h) be the second derivative of 1/9*h**4 + 1/10*h**5 + 10*h + 1/45*h**6 + q + 0*h**2 + 0*h**3. Factor d(k).
2*k**2*(k + 1)*(k + 2)/3
Factor -1/2*m**3 + 0 - m**2 + 3/2*m.
-m*(m - 1)*(m + 3)/2
Let c(n) = 5*n**4 + 92*n**3 + 2*n - 2. Let g(q) = -11*q**4 - 182*q**3 - 5*q + 5. Let j(h) = 5*c(h) + 2*g(h). Let j(a) = 0. Calculate a.
-32, 0
Factor -52*m**3 - 3*m**2 + 4*m**4 + 4*m**5 + 15*m**2 + 88*m**3 - 56*m**3.
4*m**2*(m - 1)**2*(m + 3)
Factor 1/4*p**2 - 7/4*p + 3.
(p - 4)*(p - 3)/4
Let a be (-1)/(-3) + (13 - 2/(48/248)). Suppose -4/9*x**2 + 0*x + 0 + 4/9*x**a - 1/9*x**4 = 0. Calculate x.
0, 2
Let y be (-2 - (-3 - -2)) + 25. Find h such that 16*h**2 + 6 + 6 - y*h - 3 = 0.
3/4
Let f(i) be the first derivative of -2*i**2 + 1/6*i**4 - 4/3*i**3 + 1/15*i**5 - 3 + 0*i. Let c(b) be the second derivative of f(b). Let c(y) = 0. Calculate y.
-2, 1
Determine r, given that 346*r**5 + r**4 - 345*r**5 + 2*r**3 - 4*r**4 = 0.
0, 1, 2
Let o(h) be the second derivative of -100/7*h**3 - 35*h - 1/70*h**5 - 1000/7*h**2 - 5/7*h**4 + 0. Determine j, given that o(j) = 0.
-10
Let q(r) = -3*r**2 + 118*r - 1315. Let u(c) = 2*c**2 - 79*c + 877. Let w(x) = -5*q(x) - 8*u(x). Factor w(m).
-(m - 21)**2
Suppose -r - k - 16 = 0, -k = -0*k - 1. Let c(x) = -x**3 - 17*x**2 + x + 17. Let u be c(r). Factor 4/5*l**3 - 2/5*l**5 + 0 - 2/5*l + u*l**2 + 0*l**4.
-2*l*(l - 1)**2*(l + 1)**2/5
Let k be (2/(-6))/((-19)/(-2793)). Let u = k + 54. Determine h so that 6/5 - 12/5*h**2 + 6/5*h**4 - 6/5*h**3 + 3/5*h + 3/5*h**u = 0.
-2, -1, 1
Let k be 8/(-26)*7/14 + 12768/7280. Suppose -12/5*w**2 - 2/5 - 8/5*w**3 - 2/5*w**4 - k*w = 0. Calculate w.
-1
Let f = -434 + 439. Find n such that -5/2*n**2 + f*n - 5/2 = 0.
1
Suppose 0 = 133*s - 83*s - 250. Factor -3/2*w**3 + 0 + 2*w**2 - 3/4*w + 0*w**4 + 1/4*w**s.
w*(w - 1)**3*(w + 3)/4
Let g(f) be the second derivative of -1/3*f**4 - 1/10*f**5 + 0 + 36*f - 1/90*f**6 + 0*f**2 - 4/9*f**3. Factor g(b).
-b*(b + 2)**3/3
Let y = -1/4352 - -3481603/13056. Let h = 267 - y. Factor -2/3*c + 5/3*c**2 - 4/3*c**3 + h*c**4 + 0.
c*(c - 2)*(c - 1)**2/3
Let j(o) be the first derivative of -7*o**3 - 3/5*o**5 + 0*o + 15/4*o**4 + 9/2*o**2 - 2. Factor j(s).
-3*s*(s - 3)*(s - 1)**2
Let q be (11 + -1)*5/(-5). Let m be (5/q)/(1/(-86)). Find i such that -6*i**5 - m*i**2 - 6*i**3 + 31*i**5 + 15*i**2 + 55*i**4 + 0*i + 8*i = 0.
-2, -1, 0, 2/5
Suppose -s = -b - 4, 37*s - 2*b = 40*s - 2. Factor 1/4 - 1/2*o + 1/4*o**s.
(o - 1)**2/4
Let l = 157 + -283. Let n = -124 - l. Factor -2/5*x**3 + 4/5 + 2/5*x - 4/5*x**n.
-2*(x - 1)*(x + 1)*(x + 2)/5
Let u = -146/13 - -1496/117. Suppose -2/9 + 2/3*g**3 + 10/9*g - u*g**2 = 0. What is g?
1/3, 1
Let z(f) be the third 