of 9*w**2 + t*w**5 + 9/8*w**3 + 0 - 3/16*w**4 + 0*w. Factor c(v).
3*(v - 3)**2/4
Let p(u) be the second derivative of u**9/5292 - u**7/735 + u**5/210 + 49*u**3/6 + 22*u - 1. Let m(v) be the second derivative of p(v). Factor m(t).
4*t*(t - 1)**2*(t + 1)**2/7
Let i(j) be the second derivative of 0 + 1/210*j**7 + 3/50*j**5 + 0*j**2 + 1/30*j**3 - 23*j + 1/15*j**4 + 2/75*j**6. Factor i(m).
m*(m + 1)**4/5
Let n(r) be the second derivative of r**5/690 + r**4/138 - 8*r**3/69 - 6*r**2 + 3*r. Let j(q) be the first derivative of n(q). Let j(m) = 0. Calculate m.
-4, 2
Factor -4/5*w**3 - 1/5*w**5 + w + 2/5*w**2 - 4/5*w**4 + 2/5.
-(w - 1)*(w + 1)**3*(w + 2)/5
Let z(p) be the second derivative of -11*p + 5/168*p**7 + 3/16*p**5 + 0*p**2 + 0*p**3 + 0 + 1/8*p**6 + 5/48*p**4. Find i, given that z(i) = 0.
-1, 0
Solve 7*g**2 - 140*g - 5*g**2 + 3*g**2 + 980 = 0 for g.
14
Let c = 130 - 115. Suppose -c*p - 6*p = 0. Factor 2/11*h**4 - 2/11*h**3 - 2/11*h**2 + 2/11*h + p.
2*h*(h - 1)**2*(h + 1)/11
Let z(o) be the third derivative of o**8/84 - 4*o**7/35 + 7*o**6/15 - 16*o**5/15 + 3*o**4/2 - 4*o**3/3 - o**2 + 53*o. What is c in z(c) = 0?
1, 2
Let c be 0 - (-18)/22 - 4/(-22). Let a(j) = j + 1. Let p be a(c). Factor 2/7*b**p - 2/7*b + 0.
2*b*(b - 1)/7
Let v(i) be the first derivative of 2*i**5/5 + 21*i**4/2 - 64*i**3 + 100*i**2 - 709. Suppose v(d) = 0. Calculate d.
-25, 0, 2
Let d(y) be the first derivative of 2*y**3/3 + 3*y + 3. Suppose -w + 2 + 2 = 0. Let r(m) = 3*m**2 + 4. Let p(q) = w*d(q) - 3*r(q). Determine f so that p(f) = 0.
0
Let a(i) = 3*i**2 - 3*i. Let x(b) = -13*b**2 + 12*b + 1. Suppose -5*u + 6*u - 4 = 0. Let z(q) = u*x(q) + 18*a(q). Let z(l) = 0. Calculate l.
1, 2
Let c be 5 - ((-15)/(-5) + -167). Let g = 2875/17 - c. Factor -2/17*y + 0 + g*y**3 + 2/17*y**2 - 2/17*y**4.
-2*y*(y - 1)**2*(y + 1)/17
Suppose -2*i - 5*x + 73 = 0, -i = 2*x + 58 - 90. Factor -9*r**3 - 1/4*r**5 + 0 - 8*r - i*r**2 - 5/2*r**4.
-r*(r + 2)**3*(r + 4)/4
Suppose 14235*j - 14248*j = -1482. Determine q so that -296/3*q - j*q**3 + 180*q**2 + 70/3*q**4 + 16 = 0.
2/7, 3/5, 2
Factor 2/5*n**2 + 7442/5 - 244/5*n.
2*(n - 61)**2/5
Let b(h) be the first derivative of -2*h**3 + 3*h - 22. Let x = 1 - 4. Let g(m) = -11*m**2 - m + 7. Let w(l) = x*g(l) + 5*b(l). Factor w(n).
3*(n - 1)*(n + 2)
Let t(a) be the first derivative of -1/40*a**5 + 4*a**2 + 0*a - 8 + 1/12*a**4 - 1/12*a**3. Let y(p) be the second derivative of t(p). Factor y(h).
-(h - 1)*(3*h - 1)/2
Let y(x) be the third derivative of x**6/360 + x**5/180 - x**4/6 - 399*x**2. Factor y(n).
n*(n - 3)*(n + 4)/3
Suppose c - 9 = -y, -2*c = 4*y + y - 30. Let 8/17 - 10/17*b**2 + 6/17*b - 6/17*b**3 + 2/17*b**y = 0. What is b?
-1, 1, 4
Let l be 179/(-60) + 5 + -2. Let u(h) be the third derivative of 0*h + 0 - 1/240*h**6 - l*h**5 + 0*h**3 + 7*h**2 - 1/48*h**4. Solve u(a) = 0.
-1, 0
Suppose -33 = -2*z - 7. Let f = -7 + z. Determine h so that 147/4*h**3 + f + 189/2*h**2 + 45*h = 0.
-2, -2/7
Let p(q) be the second derivative of q**5/4 + 25*q**4/12 + 35*q**3/6 + 15*q**2/2 - 64*q. Factor p(y).
5*(y + 1)**2*(y + 3)
Let g(f) be the first derivative of 2*f**3/51 - 5*f**2/17 + 12*f/17 + 5. Factor g(p).
2*(p - 3)*(p - 2)/17
Let b = 251 + -215. Let k be 15/3 - 164/b. Solve 16/9 - 20/9*p + k*p**2 = 0.
1, 4
Factor 22*h + 2/11*h**5 + 0 + 332/11*h**3 - 48*h**2 - 48/11*h**4.
2*h*(h - 11)**2*(h - 1)**2/11
Suppose 0*l - 4*l + 12 = 0. Suppose 7*f = 4*f - l*d + 6, -5*d = 0. Determine x so that 0*x**5 - 2*x**2 + 0*x**5 + x**4 - f*x**3 + 2*x**5 + x**4 = 0.
-1, 0, 1
Let o(m) be the first derivative of m**3/3 - 5*m**2 - 24*m - 47. Factor o(b).
(b - 12)*(b + 2)
Suppose -124*h + 12*h + 224 = 0. Solve -1/3*p**h + 4/3 - p = 0.
-4, 1
Let j(d) be the first derivative of -2*d**3/3 - 3*d**2 + 36*d + 82. Factor j(z).
-2*(z - 3)*(z + 6)
Let f(x) = -3*x**2 - 206*x - 219. Let b(r) = -5*r**2 - 205*r - 220. Let l(z) = -4*b(z) + 5*f(z). Determine k so that l(k) = 0.
-1, 43
Let b(n) = -n**3 + 29*n**2 + n - 29. Let m be b(29). What is y in 0 + 2/3*y**2 - 4/3*y**3 + m*y = 0?
0, 1/2
Let t(f) = -113*f + 455. Let y be t(4). What is w in -3/2*w**2 + y*w + 0 = 0?
0, 2
Let l(n) be the third derivative of 1/60*n**5 + 0*n - 1/420*n**7 + 1/12*n**4 - 1/12*n**3 - 1/30*n**6 + 0 + 1/168*n**8 + n**2. Find k, given that l(k) = 0.
-1, 1/4, 1
Suppose -3537*u + 3548*u = 22. Factor 1/2*h**u - 2*h + 2.
(h - 2)**2/2
Let o = -2 - -4. Suppose 22*w = -2*q + 17*w + 31, -2*q + 5*w - 19 = 0. Suppose 0 - 6/5*c**o - 3/5*c**q + 0*c = 0. Calculate c.
-2, 0
Let t(z) be the third derivative of z**7/70 - z**6/20 - z**5/5 + z**4/4 + 3*z**3/2 + 34*z**2 + 1. Factor t(y).
3*(y - 3)*(y - 1)*(y + 1)**2
Let v(g) be the first derivative of 2*g**5/5 + g**4/2 - 8*g**3 + 4*g**2 + 32*g - 691. Factor v(t).
2*(t - 2)**2*(t + 1)*(t + 4)
Let j be 6 + (-25)/8*4 - -8. Determine k, given that 0*k**3 + 0 - j*k**4 + 9/2*k**2 - 3*k = 0.
-2, 0, 1
Suppose -5 = -3*v - 4*i - 33, -2*i = -4*v - 8. Let r(g) = g - 1. Let j(c) = 2*c**4 + 4*c**3 - 2*c - 4. Let s(p) = v*r(p) + 2*j(p). Factor s(m).
4*(m - 1)*(m + 1)**3
Let r be -2 - (-45)/(11 - 2). Let u(d) be the third derivative of d**2 + 1/6*d**4 + 0 - 1/30*d**6 - 1/10*d**5 + 0*d**r + 0*d. Find j such that u(j) = 0.
-2, 0, 1/2
Suppose -5*m + 4*w + 55 = 0, m - 27 = 2*w + 2*w. Solve -62*i**2 - m*i + 129*i**2 + 2*i - 66*i**2 = 0 for i.
0, 5
Let m(q) = q**3 - 45*q**2 + 84*q + 392. Let w(v) = -v**3 + v**2. Let i(k) = m(k) - 3*w(k). Factor i(x).
4*(x - 7)**2*(x + 2)
Suppose -36/5 + 6/5*u + 2/5*u**4 - 14/5*u**3 + 26/5*u**2 = 0. Calculate u.
-1, 2, 3
Let u be (-35)/42*6 - (3 + 57/(-6)). Factor 1/2*w**2 + 1 + u*w.
(w + 1)*(w + 2)/2
Let l(w) = 15*w**2 + 905*w - 455. Let o(s) = -23*s**2 - 1358*s + 683. Let z(r) = -7*l(r) - 5*o(r). Factor z(d).
5*(d + 46)*(2*d - 1)
Factor 1006*u**2 + 8/3 + 3698/3*u**4 + 7052/3*u**3 - 328/3*u.
2*(u + 1)**2*(43*u - 2)**2/3
Let y(c) be the third derivative of 2*c**5/195 - 9*c**4/52 - 7*c**3/39 - 44*c**2. Let y(u) = 0. What is u?
-1/4, 7
Suppose -4*z - 30 = -h, -5*h + 37*z - 39*z = 4. Let 0*n**h + 5/6*n**4 - 5/6 + 5/3*n - 5/3*n**3 = 0. What is n?
-1, 1
Let w(d) = d**3 + 24*d**2 - 31*d - 7. Suppose 0 = 2*z - 7 + 11. Let j(y) = -8*y**2 + 10*y + 2. Let m(g) = z*w(g) - 7*j(g). Factor m(p).
-2*p*(p - 2)**2
Let c(n) be the second derivative of -5*n**6/18 - 7*n**5 + 59*n**4/4 - 9*n**3 - 115*n. Solve c(v) = 0 for v.
-18, 0, 3/5
Factor -4*n**3 - 38*n**2 - 39*n**2 + 0*n**3 + 8*n - 6*n**4 + 6*n**3 + 93*n**2.
-2*n*(n - 2)*(n + 1)*(3*n + 2)
Let l(w) be the first derivative of -5*w**3/18 + 65*w**2/12 + 35*w/3 + 87. Factor l(g).
-5*(g - 14)*(g + 1)/6
Let w(g) be the second derivative of -1/220*g**5 + 0*g**2 + 0 + 0*g**4 + 1/66*g**3 + 3*g. Factor w(t).
-t*(t - 1)*(t + 1)/11
Let b(l) = 123*l**3 - 598*l**2 + 418*l - 78. Suppose 0 = -q - 107 + 105. Let k(r) = -r**3 + r**2 - r + 1. Let m(t) = q*k(t) + b(t). Let m(c) = 0. Calculate c.
2/5, 4
Suppose -6*i = 23 + 7. Let t = 8 + i. Factor 0*w**t + 1/2*w**5 + 0*w**2 + 0 + 0*w**4 + 0*w.
w**5/2
Let o be 15/25*-5*(-5)/75. Factor 1/5*g + 0 + o*g**3 - 2/5*g**2.
g*(g - 1)**2/5
Let d(u) = u + 6. Let q be d(-5). Let i be (2*(0 + 2))/(8 - q). Suppose -6/7*k - 2/7*k**2 - i = 0. Calculate k.
-2, -1
Let c be (12/20)/(1/20). Let h(s) be the first derivative of -16*s + 28*s**2 - 8/5*s**5 - 1 + c*s**3 - 7/2*s**4. What is g in h(g) = 0?
-2, 1/4, 2
Suppose -2*s = 4*l, 2*s - 5*l = -s + 11. What is b in 5*b**3 + 25*b**s - 12*b**3 - 40*b + 2*b**3 + 20 = 0?
1, 2
Let k(n) be the second derivative of 0*n**2 - 12*n - 1/66*n**4 + 0 + 2/11*n**3. Let k(q) = 0. Calculate q.
0, 6
Let m(y) be the first derivative of -12*y**5/5 - 189*y**4 - 3841*y**3 + 6048*y**2 - 3072*y - 117. Factor m(h).
-3*(h + 32)**2*(2*h - 1)**2
Suppose 3*a + 43 + 52 = 4*l, 0 = -l + 3*a + 26. Suppose l = 12*v - 1. Let 1/7*t**5 + 8/7*t**v - 2/7*t**4 - t + 2/7 - 2/7*t**3 = 0. What is t?
-2, 1
Let p(w) be the first derivative of 0*w + 1/6*w**6 - 3/5*w**5 + 3 - w**2 + 1/4*w**4 + w**3. Solve p(a) = 0 for a.
-1, 0, 1, 2
Let q be 4 - (-3 + 20/6)/(11/88). Factor q*b + 0 - 2/3*b**2.
-2*b*(b - 2)/3
Let r(z) be the first derivative of -z**3/12 + 5*z**2/8 + 89. Find v such that r(v) = 0.
0, 5
Let q(y) = y**4 + y**3 + y**2. Let u(r) = 5*r**4 + 11*r**3 + 13*r**2 + 4*r. Let p(n) = -n - 10. Let i be p(-9). Let g(o) = i*u(o) + 3*q(o). Facto