rivative of -h**4/4 + 10*h**3/9 - 2*h**2/3 - 139*h. Determine y, given that u(y) = 0.
2/9, 2
Factor 196/11 + 32/11*x**2 - 14*x - 2/11*x**3.
-2*(x - 7)**2*(x - 2)/11
Factor 21*p**3 + 1357047 - 267*p**2 - 78*p - 1357047.
3*p*(p - 13)*(7*p + 2)
Let z be (5/(-5))/((-1)/(-41)). Let q = 41 + z. Find w, given that 0*w - 4/7*w**3 + 2/7*w**2 + 2/7*w**4 + q = 0.
0, 1
Let g = -5667/5270 + 37/34. Let n = 479/1085 - g. Factor 0*l**2 - n*l**4 + 0*l + 0 - 9/7*l**5 + 0*l**3.
-3*l**4*(3*l + 1)/7
Suppose -7*c - 28 = -4*i - 2*c, c + 8 = 2*i. Suppose 4*g = i*g + 6. Factor -g*l - 147*l**2 - 61*l - 12 - 20*l.
-3*(7*l + 2)**2
Let v(g) be the second derivative of -4*g**6/15 - 19*g**5/10 + 59*g**4/12 - 7*g**3/6 - 3*g**2 - 125*g - 1. Solve v(k) = 0 for k.
-6, -1/4, 1/2, 1
Let r(l) be the first derivative of 5 + 1/6*l**3 - 1/120*l**6 + 3*l + 1/20*l**5 - 1/8*l**4 - 1/8*l**2. Let u(y) be the first derivative of r(y). Factor u(x).
-(x - 1)**4/4
Determine b so that 1000*b + 86*b**3 - 8585*b - 32*b**3 - 32*b**3 - 27*b**3 - 400*b**2 + 16810 = 0.
-41, 2
Let t(w) be the first derivative of -1/8*w**4 - 2*w**2 + 0*w - 5 - 1/60*w**5 - 1/3*w**3. Let o(h) be the second derivative of t(h). Factor o(u).
-(u + 1)*(u + 2)
Let i(q) be the second derivative of -q**4/12 - 2*q**3/3 - 3*q**2/2 - 14*q + 1. Factor i(p).
-(p + 1)*(p + 3)
Let a(y) be the first derivative of 39/20*y**2 - 21 - 2/15*y**3 + y. What is n in a(n) = 0?
-1/4, 10
Let y(i) be the first derivative of -i**6/9 - 28*i**5/15 - 10*i**4 - 100*i**3/9 + 125*i**2/3 + 155. What is k in y(k) = 0?
-5, 0, 1
Let v be (6 + (-5088)/6)*(-2)/(-12). Let z = -139 - v. Factor 0 - 2*w**2 - 2/9*w**4 + z*w**3 + 0*w.
-2*w**2*(w - 3)**2/9
Factor -184/13*o**3 - 48/13*o + 0 - 8/13*o**4 + 190/13*o**2.
-2*o*(o + 24)*(2*o - 1)**2/13
What is m in 23/8*m**2 + 0*m - 11/4*m**3 - 1/8*m**4 + 0 = 0?
-23, 0, 1
Let j(w) be the first derivative of w**6/30 + w**5/20 - w**4/6 - 18*w + 2. Let r(a) be the first derivative of j(a). Factor r(u).
u**2*(u - 1)*(u + 2)
Let p(w) be the third derivative of -w**6/24 + 17*w**5/12 + 185*w**4/24 + 95*w**3/6 - w**2 + 37. Factor p(b).
-5*(b - 19)*(b + 1)**2
Let k(o) be the second derivative of 4/7*o**3 - 3/70*o**5 + 3/28*o**4 + 0 + 6/7*o**2 + 8*o - 1/70*o**6. Let k(f) = 0. Calculate f.
-2, -1, 2
Let r(p) be the third derivative of -7*p**2 + 0*p**3 + 1/420*p**8 + 0*p**4 + 0 + 1/75*p**5 + 0*p - 1/150*p**6 - 2/525*p**7. Factor r(u).
4*u**2*(u - 1)**2*(u + 1)/5
Suppose 0 = 112*n - 107*n. Factor -260*r + 35*r**3 + 57 + 23 + n*r**3 - 80*r**2.
5*(r - 4)*(r + 2)*(7*r - 2)
Suppose 10 - 2 = 2*u. Let q be (300/(-33))/u*4/(-10). Let -14/11*z**4 + 0 + 18/11*z**3 + 2/11*z - q*z**2 + 4/11*z**5 = 0. Calculate z.
0, 1/2, 1
Let d(c) be the third derivative of -c**7/945 + 19*c**6/270 + 13*c**5/90 - 662*c**2. Factor d(m).
-2*m**2*(m - 39)*(m + 1)/9
Let a be 10/4*32/20. Let t be a*-2*(-9)/18. Factor -t*v**3 + 0*v**3 - 6*v**2 + 3*v + 7*v**3.
3*v*(v - 1)**2
Find p such that -57/5*p + 56/5 + 1/5*p**2 = 0.
1, 56
Let f(a) = 12*a**2 - 30*a - 18. Let v be f(3). Find s, given that v - 2/23*s**2 + 2/23*s = 0.
0, 1
Let o(x) be the first derivative of 2*x**4/11 + 26*x**3/33 - 32*x**2/11 + 30*x/11 - 218. Factor o(y).
2*(y - 1)*(y + 5)*(4*y - 3)/11
Find m, given that -13/5*m - 1/5*m**2 - 42/5 = 0.
-7, -6
Let j(w) be the second derivative of w**2 + 8*w - 1/6*w**4 - 1/6*w**3 + 1/20*w**5 + 0. Suppose j(g) = 0. Calculate g.
-1, 1, 2
Let c(w) be the second derivative of -w**6/90 - 97*w**5/60 - 2303*w**4/36 + 2401*w**3/18 - 146*w - 1. Factor c(u).
-u*(u - 1)*(u + 49)**2/3
Let r be (-6 - 4) + 6 - (-4)/1. Let i(w) be the first derivative of 0*w**2 - 3 + 3/25*w**5 + 3/5*w - 2/5*w**3 + r*w**4. Solve i(b) = 0.
-1, 1
Let i(d) be the first derivative of d**6/6 + 3*d**5/10 - 7*d**4/16 - 7*d**3/24 + 9*d**2/16 - d/4 - 60. Find g such that i(g) = 0.
-2, -1, 1/2
Let m = 1388 + -1386. Factor -d**3 + 0 + 0*d - 1/2*d**m - 1/2*d**4.
-d**2*(d + 1)**2/2
Let n(k) = k**2 - 13*k + 3. Suppose m - 13 = -0*m. Let r be n(m). Factor -3*x**2 - 1 + x**r - x + x + 3*x + 0*x.
(x - 1)**3
Let x(f) be the third derivative of -5*f**8/336 - f**7/21 + 5*f**6/24 + 5*f**5/6 - 5*f**4/6 - 20*f**3/3 + 109*f**2. Solve x(c) = 0.
-2, -1, 1, 2
Let c(k) be the third derivative of -k**9/5040 + k**7/420 - k**5/40 + k**4/12 + 10*k**2. Let f(p) be the second derivative of c(p). Factor f(j).
-3*(j - 1)**2*(j + 1)**2
Solve 87/4*d**3 + 15/2*d**2 + 0 + 3*d**5 + 0*d - 129/4*d**4 = 0.
-1/4, 0, 1, 10
Suppose -2*f + 0*f = -6. Let h(y) = -y**2 - 6*y - 6. Let n be h(-4). Determine z, given that -z**n + z**4 - f - 15*z + 23*z - 5*z**2 = 0.
-3, 1
Factor 1048/5*f + 4611*f**2 + 12/5 + 7569/5*f**3.
(f + 3)*(87*f + 2)**2/5
Determine d so that -15/2*d**5 - 117/4*d**4 + 9/4*d**2 - 39/2*d**3 + 0 + 0*d = 0.
-3, -1, 0, 1/10
Suppose 32*i = 46*i - 14. Let w(a) be the first derivative of -1/2*a**2 - 1/6*a**3 + 0*a + 1/8*a**4 + i. What is r in w(r) = 0?
-1, 0, 2
Suppose -m - 5*w = 198, 3*w + 606 = -3*m - 0*w. Let d be (174/m)/((-30)/28). Determine o, given that -4/5*o**3 + 0 + d*o + 2/5*o**2 - 2/5*o**4 = 0.
-2, -1, 0, 1
Suppose -2*k**4 + 12*k**3 - 19 + 5 - 12*k**2 - 35*k - 9*k + 6*k**4 - 10 = 0. What is k?
-3, -1, 2
Let r(s) = s**2 + 2*s**2 + s - 2*s**2 + 3 - 2*s**2. Let g be r(0). Suppose -3*l**3 + 3*l**g - l**2 + 3*l**3 - 11*l**2 = 0. What is l?
0, 4
Let t = -916 + 115417/126. Let z(x) be the second derivative of 0*x**4 + 1/15*x**5 - 2/45*x**6 + 0*x**2 + t*x**7 + 0 - 3*x + 0*x**3. Factor z(y).
y**3*(y - 2)**2/3
Factor 1/3*x**3 + 0 - 11/3*x**2 - 4*x.
x*(x - 12)*(x + 1)/3
Let s be 3666/1692 - 3/18. Factor 147/2 + 231/4*b + 3/4*b**3 + 12*b**s.
3*(b + 2)*(b + 7)**2/4
Suppose 6827*p = 6815*p + 24. Let 2/7*i**3 - 2/7*i - 2/7*i**4 + 2/7*i**p + 0 = 0. Calculate i.
-1, 0, 1
Let h = -242 - -244. Determine x, given that -98/5 + 28/5*x - 2/5*x**h = 0.
7
Let x(m) be the first derivative of -2*m**3/15 - 13*m**2/5 - 24*m/5 - 819. Factor x(y).
-2*(y + 1)*(y + 12)/5
Let g = -19 + 79/4. Suppose 21*r = -30*r. Factor -g*a**2 + r - 3/4*a.
-3*a*(a + 1)/4
Let r(u) be the first derivative of 0*u**2 - 21 + 3/20*u**4 + 1/15*u**3 + 0*u + 3/25*u**5 + 1/30*u**6. Factor r(h).
h**2*(h + 1)**3/5
Let h = 16 - 14. Let k(v) = 3*v**2 - 2*v + 1. Let o be k(1). Factor 6*w**3 - 6*w**o - 6*w**2 - h*w**5 + 8*w**2.
-2*w**2*(w - 1)**2*(w + 2)
Let r(u) be the first derivative of 2*u**3/3 - 16*u**2 - 34*u + 41. Factor r(k).
2*(k - 17)*(k + 1)
Suppose 0*g - 2 = -2*g. Suppose -2*m = -t + 7, g = 2*m + 3. Determine r, given that -2*r**2 + 0 + 1 - 6*r + 0 - t = 0.
-2, -1
Suppose -2 = 4*x - 50. Suppose -12*c - 144 - 33*c - 4*c**2 - 15*c + x*c = 0. What is c?
-6
Factor 0*i + 0 - 7/3*i**3 + 8/3*i**4 + 0*i**2 - 1/3*i**5.
-i**3*(i - 7)*(i - 1)/3
Let l(u) be the first derivative of -8*u**3/3 + 7*u**2 + 30*u - 52. Determine s so that l(s) = 0.
-5/4, 3
Let v be -10 + 1 - (-8784)/960. Let n(g) be the first derivative of 3/25*g**5 - 1/5*g**3 + 1/10*g**6 + 8 + 0*g**2 - v*g**4 + 0*g. Factor n(k).
3*k**2*(k - 1)*(k + 1)**2/5
Factor 2/3*r**4 + 0 - 8/3*r**3 + 8/3*r - 2/3*r**2.
2*r*(r - 4)*(r - 1)*(r + 1)/3
Let k(z) be the third derivative of 0 + 4/27*z**3 + 0*z + 77/270*z**5 - 1/3*z**4 + 8*z**2 - 3/35*z**7 + 1/15*z**6. What is a in k(a) = 0?
-1, 2/9, 1
Factor -4/11 + 4/11*g**2 - 2/11*g + 2/11*g**3.
2*(g - 1)*(g + 1)*(g + 2)/11
Let l(c) be the first derivative of -2*c**3/3 + 2*c**2 - 39. Let l(r) = 0. Calculate r.
0, 2
Suppose 5*u + 5*x = -35, 2*x - 3 = 5*x. Let o be 4/(24/13) + u/3. Factor -2/3*i + 2/3*i**4 + 1/2*i**3 - 2/3*i**2 + 0 + o*i**5.
i*(i - 1)*(i + 1)*(i + 2)**2/6
Let v(f) be the third derivative of -f**7/840 - f**6/60 + f**5/8 + 29*f**4/24 - 13*f**2. Let z(h) be the second derivative of v(h). Solve z(o) = 0.
-5, 1
Let j(a) be the second derivative of 3/4*a**4 - 6*a + 0 - 1/3*a**3 - 7/20*a**5 + 0*a**2. Factor j(q).
-q*(q - 1)*(7*q - 2)
Let f = -17863 + 17869. Factor 0 - 15/2*o - f*o**2 + 3/2*o**3.
3*o*(o - 5)*(o + 1)/2
Let o(b) be the second derivative of -1/60*b**4 + 0 + 1/5*b**2 + 8*b + 1/30*b**3. Factor o(m).
-(m - 2)*(m + 1)/5
Let w(d) = 125*d**2 - 810*d - 825. Let r(v) = 9*v**2 - 58*v - 59. Let g(s) = 55*r(s) - 4*w(s). Factor g(o).
-5*(o - 11)*(o + 1)
Let o be (-48)/9 - (-41 - -35). Let k(y) be the first derivative of 2*y**2 + 0*y - 7 + o*y**3 - 1/2*y**4. Find m, given that k(m) = 0.
-