9*k**2/2 + 9*k. Let w(c) be the first derivative of p(c). Factor w(t).
-t*(t - 1)/4
Let g = 5 - 5. Let t(k) be the first derivative of -4 - k**2 + g*k**3 + 4/3*k + 1/6*k**4. Factor t(u).
2*(u - 1)**2*(u + 2)/3
Let i(d) = d**5 + d**4 - d**3 - 1. Let w(m) = -7*m**4 - 10*m**3 + 4*m**2 + 4*m - 3. Let u(s) = -3*i(s) + w(s). Solve u(f) = 0.
-2, -1, 0, 2/3
Let m(u) be the third derivative of -u**5/600 - u**4/40 - 2*u**3/15 - 213*u**2. Factor m(p).
-(p + 2)*(p + 4)/10
Factor -5 - 4*q**2 + 8 + 42 - 84*q + 43.
-4*(q - 1)*(q + 22)
Find y, given that -1024 - 4*y**2 - 506*y - 476*y + 1110*y = 0.
16
Factor 0*n + 1/2*n**2 + 1/6*n**3 + 0.
n**2*(n + 3)/6
Find i such that -17/2 - 1/2*i**2 + 9*i = 0.
1, 17
Suppose 19*f + 40 = 15*f. Let a be ((-7)/91)/(f/(-4) + -3). Factor -a + 10/13*h - 18/13*h**2 + 14/13*h**3 - 4/13*h**4.
-2*(h - 1)**3*(2*h - 1)/13
Let m(h) = 5*h**2 - 43*h - 52. Let v(r) = 110*r**2 - 945*r - 1145. Suppose 0 = 25*t - 23*t + 4. Let b(y) = t*v(y) + 45*m(y). Factor b(a).
5*(a - 10)*(a + 1)
Let x = 260/717 - 7/239. Suppose -f - 1 = -3. Factor -1/6*j**3 - 2/3*j**f - x - 5/6*j.
-(j + 1)**2*(j + 2)/6
Let z(j) = -2*j + 12. Let r be z(-4). Factor -9*o**4 - 40*o**2 + 20*o + r*o**3 + 4*o**4 + 5*o**3.
-5*o*(o - 2)**2*(o - 1)
Let o(i) be the third derivative of 0*i + 0*i**4 - 2/5*i**6 - 4/35*i**7 + 26*i**2 - 1/84*i**8 + 0*i**3 + 0 - 8/15*i**5. Find w, given that o(w) = 0.
-2, 0
Let w(h) be the second derivative of 0 + 1/12*h**3 - 1/120*h**4 - 15*h + 3/10*h**2. Factor w(l).
-(l - 6)*(l + 1)/10
Let u(n) be the third derivative of -3*n**6/40 - 11*n**5/5 - 63*n**4/8 + 13*n**3 - 813*n**2. Factor u(d).
-3*(d + 2)*(d + 13)*(3*d - 1)
Let g = 107 - 104. Solve 15*m**2 - 8 - 8*m - 17*m**2 - 2*m**4 + 4*m**g + 8*m**2 = 0 for m.
-1, 2
Let h(n) be the second derivative of 9*n - 1/51*n**3 + 0*n**2 - 1/102*n**4 + 0. Factor h(u).
-2*u*(u + 1)/17
Let l = -446/143 - -36/11. Let i(q) be the first derivative of 0*q**2 + 2/39*q**3 + 6 - l*q. Factor i(m).
2*(m - 1)*(m + 1)/13
Let q(y) = -19*y**3 - 96*y**2 - 107*y - 30. Let i(h) = -h**3 + h. Let c(t) = 4*i(t) - q(t). Factor c(x).
3*(x + 1)*(x + 5)*(5*x + 2)
Let u(n) be the second derivative of -n**7/1680 - n**6/320 + 7*n**2/2 - 14*n. Let p(q) be the first derivative of u(q). Let p(g) = 0. What is g?
-3, 0
Let c be -21 - (1/3 + 8/12). Let g = -22 - c. Suppose -2/7*r**2 + 6/7*r + g = 0. What is r?
0, 3
Let x(p) be the third derivative of -p**6/24 - p**5/12 + 185*p**4/24 - 175*p**3/6 + 110*p**2. Solve x(o) = 0.
-7, 1, 5
Let r(n) be the third derivative of -15*n**2 - 2*n - 2/5*n**3 + 7/120*n**4 - 1/300*n**5 + 0. Suppose r(k) = 0. What is k?
3, 4
Let a(k) = 4*k - 2. Suppose 0 = 25*h - 20*h - 5. Let x be a(h). Find r, given that 1/2 - 1/4*r**x - 1/4*r = 0.
-2, 1
Let d = -28 - -30. Find q, given that -2*q + 3*q**d - q**3 - 53 + 53 = 0.
0, 1, 2
Let j(q) be the third derivative of -q**10/529200 + q**9/105840 - q**7/8820 + q**6/2520 + q**5/5 - q**2. Let o(t) be the third derivative of j(t). Factor o(m).
-2*(m - 1)**3*(m + 1)/7
Let c(w) = -17*w**2. Let d(k) = 4*k**2 - 2*k + 3*k - k. Suppose -5*h - z = 9, 3*h + z + 0*z = -5. Let p(a) = h*c(a) - 9*d(a). Factor p(l).
-2*l**2
Let a(t) be the third derivative of t**5/40 + 21*t**4/2 - t**2 + 147*t. Suppose a(x) = 0. Calculate x.
-168, 0
Let y(t) be the second derivative of -t**4/60 + t**3/10 + t**2 + 117*t. Factor y(x).
-(x - 5)*(x + 2)/5
Let g(u) be the third derivative of u**9/3024 - u**8/1344 - u**7/504 + u**6/144 + 7*u**4/24 - 3*u**2. Let b(o) be the second derivative of g(o). Factor b(q).
5*q*(q - 1)**2*(q + 1)
Factor -23*c - 1/4*c**4 - 7/4*c**3 + 13*c**2 + 12.
-(c - 2)**2*(c - 1)*(c + 12)/4
Let k = -20 - -2. Let v = k + 21. Let -2*y**v + 3*y + 3*y**2 + y**2 - 7*y**2 - y**3 + 3 = 0. Calculate y.
-1, 1
Suppose -8 = 4*c + 2*g, 3*c + g + 3 = -2*g. Let j be ((-2)/12)/(c/48). Factor 4/3 + 8/3*z**3 + 0*z**2 - j*z - 4/3*z**4.
-4*(z - 1)**3*(z + 1)/3
Let k(u) be the third derivative of 0*u**3 - 1/12*u**6 + 5/336*u**8 + 0 + 0*u**5 + 0*u + 5/24*u**4 - 13*u**2 + 0*u**7. Solve k(g) = 0 for g.
-1, 0, 1
Factor 3*i**2 - 8/5*i**3 + 4/5*i + 1/5*i**4 - 4.
(i - 5)*(i - 2)**2*(i + 1)/5
Let t be 3*((-89)/15 - -6). Let f(w) be the second derivative of 0*w**2 + 2*w + t*w**5 - 1/6*w**3 + 0 - 1/4*w**4. Find u, given that f(u) = 0.
-1/4, 0, 1
Suppose -7*o + 3*o - 3*l + 59 = 0, -4*l = 2*o - 22. Let k = -14 + o. Factor 0 - 16*s - 2*s**k + 18*s + 0.
-2*s*(s - 1)*(s + 1)
Find f, given that -3/7*f**2 - 60/7*f - 108/7 = 0.
-18, -2
Factor 3/2*h + 1/4*h**2 + 0.
h*(h + 6)/4
Suppose -5*p + 25 = 2*y, 2*p = -3*p - 3*y + 30. Let l(x) = x**2 + x + 1. Let s(v) = 8*v**2 - 17*v + 18. Let u(h) = p*l(h) - s(h). Factor u(d).
-5*(d - 3)*(d - 1)
Suppose 68*m - 85 = 51. Solve -20/7*j + 50/7 + 2/7*j**m = 0.
5
Suppose -2*s + 5*x + 315 = 0, 5*s - 430 = x + 346. Factor 5*o**2 - 2 - 13 - s*o + 165*o.
5*(o - 1)*(o + 3)
Let k(g) be the second derivative of g**6/24 - g**5/3 - 5*g**2 + 20*g. Let a(o) be the first derivative of k(o). Find j such that a(j) = 0.
0, 4
Let a(u) be the second derivative of u**9/16632 - u**8/3080 - u**7/1155 - 19*u**3/3 - 37*u. Let c(l) be the second derivative of a(l). What is p in c(p) = 0?
-1, 0, 4
Determine p, given that -1878 - 570*p - 882*p + 709 + 3855 - 4*p**3 + 2638 + 132*p**2 = 0.
11
Let z(h) be the first derivative of -h**6/2160 + h**5/360 - h**4/144 - 23*h**3/3 - 12. Let r(s) be the third derivative of z(s). Factor r(o).
-(o - 1)**2/6
Let y(k) be the third derivative of -k**7/70 + k**4/12 - k**3/3 + 13*k**2. Let s(p) = 6*p**4 - 5*p + 5. Let i(j) = 2*s(j) + 5*y(j). Factor i(h).
-3*h**4
Let v = -286 + 593. Factor -4*o + v*o**2 + 1 - 319*o**2 + 4*o**3 + 6 + 5.
4*(o - 3)*(o - 1)*(o + 1)
Let r(b) be the second derivative of b**7/10080 + b**6/320 + b**5/60 - 5*b**4/3 - 15*b. Let p(w) be the third derivative of r(w). Solve p(t) = 0.
-8, -1
Let b be 0 - (2 - 4) - (10 - 10). Factor -101*a + 93*a - 2*a**3 - 12*a**2 - b*a**3.
-4*a*(a + 1)*(a + 2)
Let t = -10 - -97/7. Factor 3/7*z**5 + 12/7*z**2 + 0 + 18/7*z**4 + 0*z + t*z**3.
3*z**2*(z + 1)**2*(z + 4)/7
Let l(b) be the first derivative of 1/9*b**3 - 14 + 0*b**2 + 0*b. Factor l(p).
p**2/3
Let u = -17401/7 + 2486. Solve 27/7*r - 9/7*r**2 + u*r**3 - 27/7 = 0.
3
Factor -4/3*m**2 - 16/3 + 16/3*m.
-4*(m - 2)**2/3
Suppose 33*h = 36*h + 3. Let u be (-5 - 178/(-36))/(h/3). Factor u*w**2 + 0 + 0*w.
w**2/6
Let v = 8 + -5. Let k be 10 - 7 - (-6 - 1). What is i in -12*i**3 - 2*i**2 + k*i**3 + i + v*i = 0?
-2, 0, 1
Suppose -3*w + 44 = 16*a, 7*w + 4*a = 8*w + 4. Determine i, given that 0 - 8/17*i - 162/17*i**5 - 396/17*i**w - 88/17*i**2 - 314/17*i**3 = 0.
-1, -2/9, 0
Let a be 5 + -2 - (-10 - -9). Factor -4*g**5 - 2*g**2 - 9*g**3 + 12*g**a - 3*g**3 + 6*g**2.
-4*g**2*(g - 1)**3
Suppose 2*r + 4*l - 76 = 0, 5*l = 24 - 4. Let j be (-3)/r*2*-2. Factor 0*q - j*q**2 + 0 - 4/5*q**3 - 2/5*q**4.
-2*q**2*(q + 1)**2/5
Let h = -9197/42 - -1534/7. Let -h + 1/6*c**2 + 0*c = 0. Calculate c.
-1, 1
Let -76382 + 38578 - 234*b**2 - 80834 - 9126*b - 2*b**3 = 0. What is b?
-39
Let z(i) be the second derivative of i**5/270 - 5*i**4/108 + 2*i**3/9 - 23*i**2/2 - 19*i. Let k(s) be the first derivative of z(s). Factor k(l).
2*(l - 3)*(l - 2)/9
Let t be (-29)/(-24) + (-74)/(-592). Factor -16/3 - t*p**2 + 16/3*p.
-4*(p - 2)**2/3
Let c(m) = 4*m**2 + 21 + 2 - 4*m**2 + 20*m + 2*m**2. Let y(b) = -15*b**2 - 160*b - 185. Let n(i) = 25*c(i) + 3*y(i). Factor n(x).
5*(x + 2)**2
Let m(i) be the third derivative of -i**5/40 + 37*i**4/4 - 1369*i**3 - 121*i**2 - 1. What is g in m(g) = 0?
74
Let j(p) = -90*p**2 - 942*p - 10551. Let o(q) = 11*q**2 + 118*q + 1319. Let y(x) = -4*j(x) - 33*o(x). Factor y(h).
-3*(h + 21)**2
Let v(k) be the second derivative of 1/15*k**3 + 1/60*k**4 + 0 - 1/20*k**5 + 0*k**2 + 1/70*k**7 + 20*k - 1/150*k**6. Let v(m) = 0. What is m?
-1, -2/3, 0, 1
Let g = 63103/6 + -21031/2. Factor 1/3 - 1/3*n - g*n**2 - n**3.
-(n + 1)**2*(3*n - 1)/3
Let q be (-1297276)/6*(-6)/16. Let x = q - 80551. Factor x*t**3 + 18 + 129*t + 739/2*t**2 + 378*t**4 + 108*t**5.
(3*t + 2)**3*(4*t + 3)**2/4
Suppose 2*t - 2 = -j, -j = -4*t - 17 + 27. Solve 0*h + 2/5*h**t - 2/5 = 0 for h.
-1, 1
Factor 98/15 + 8/15*v**4 + 218/15*v**2 + 24/5*v**3 + 84/5*v.
2*(v + 1)**2*(2*v + 7)**2/15
Let n(r) = -4*r**2 + 4*r + 13. Let b(k) be the second de