e the second derivative of -b**6/50 - 21*b**5/50 - 6*b**4/5 - b - 668. Factor x(i).
-3*i**2*(i + 2)*(i + 12)/5
What is p in 46/11*p + 1/11*p**3 - 48/11 - 13/11*p**2 = 0?
2, 3, 8
Suppose 66*f = 48*f + 36. Let q(t) be the second derivative of 5/2*t**3 - 1/4*t**4 + 0*t**f + 0 - 2*t. Factor q(g).
-3*g*(g - 5)
Let o(y) be the second derivative of -y**5/30 - 5*y**4/6 - 98*y**2 + 2*y - 80. Let p(h) be the first derivative of o(h). Suppose p(d) = 0. What is d?
-10, 0
Let z(k) be the first derivative of 4*k**3/3 - 133*k**2/2 + 33*k - 1386. What is y in z(y) = 0?
1/4, 33
Let k(z) be the third derivative of -4*z + 6/7*z**3 + 1/1470*z**7 - 1/60*z**6 + 2*z**2 - 19/42*z**4 + 0 + 53/420*z**5. Factor k(t).
(t - 9)*(t - 2)**2*(t - 1)/7
Let i(d) be the first derivative of -1/10*d**5 - 3*d - 3/8*d**4 + 7/4*d**2 + 1/2*d**3 - 133. Factor i(n).
-(n - 1)**2*(n + 2)*(n + 3)/2
Let u(r) be the first derivative of -r**4/3 - 38*r**3/9 + 32*r**2/3 - 22*r/3 - 3540. Find i, given that u(i) = 0.
-11, 1/2, 1
Let o(x) = -5*x**2 - 2*x + 14. Let y be o(5). Let g = y + 140. Factor 24*d - g*d + 2*d**3 - 16 - 6*d**2 - 8*d**2 + 23*d.
2*(d - 4)*(d - 2)*(d - 1)
Suppose 0 = 2*i + 31 - 41. Suppose 8*m - 2 = 5*p + i*m, -p = 3*m - 14. Let 6/13 + 8/13*q + 2/13*q**p = 0. Calculate q.
-3, -1
Let f(b) = 10*b**2 + 4*b - 2. Let j(c) = -12*c**2 - 4*c + 1. Let x = -138 + 142. Let r(z) = x*j(z) + 5*f(z). Factor r(t).
2*(t - 1)*(t + 3)
Let n be (3 - (2 + -1)) + -73. Let u = n - -74. Factor 69 - 393*h**u + 50*h**3 - 68 - 21*h + 147*h**2.
-(7*h - 1)**3
Let g(y) be the second derivative of -3/50*y**5 - 1/70*y**7 - 4/75*y**6 + 18*y + 1/30*y**3 - 1 + 0*y**2 + 0*y**4. Factor g(z).
-z*(z + 1)**3*(3*z - 1)/5
Let r(v) be the first derivative of -5*v**6/8 + 33*v**5/10 + 21*v**4/16 - 14*v**3 - 15*v**2/2 + 12*v - 2211. Solve r(w) = 0.
-1, 2/5, 2, 4
Factor 1/6*v**4 - 2/3*v**3 + 0*v + 0*v**2 + 0.
v**3*(v - 4)/6
Suppose -92*y + 9 = -91*y. Solve 5*t**4 + y*t**4 + 9*t**3 - 289*t - 15*t**4 - 323*t**2 - 44*t**3 = 0.
-17, -1, 0
Let h(o) be the third derivative of o**9/362880 - o**8/17280 + o**7/3024 + 11*o**5/12 - 58*o**2. Let k(v) be the third derivative of h(v). Factor k(g).
g*(g - 5)*(g - 2)/6
Let n = 3489363/88 - 39733. Let m = n - -894/11. Factor 0*a + m - 1/8*a**2.
-(a - 1)*(a + 1)/8
Suppose -4*q + 4*z = -500, 2*q - 105 = -5*z + 145. Suppose 0*l - 124*l**3 + 1 + 4*l + 2 - 3*l**2 + q*l**3 - 5*l = 0. What is l?
-1, 1, 3
Let c = -8400444/133 + 63160. Let k = -18/19 - c. Suppose 0*l - 4/7*l**3 - k*l**2 + 0 = 0. Calculate l.
-1/2, 0
Solve -1529*m - 460 + 1071*m + 5*m**2 - 3*m**2 = 0.
-1, 230
Let c(n) = -33*n - 5*n**2 + 1083 - 29*n + 0*n**2 - 4*n. Let r(d) = -d**2 - 1. Let u(i) = -5*c(i) + 30*r(i). Find k, given that u(k) = 0.
33
Let h(a) be the first derivative of 3*a**7/560 - 13*a**6/180 - 5*a**5/16 - 7*a**4/24 - 127*a**3/3 - 41. Let s(v) be the third derivative of h(v). Factor s(n).
(n - 7)*(n + 1)*(9*n + 2)/2
Let j(s) be the first derivative of 2*s**3/15 + 9*s**2 + 328*s/5 + 701. Factor j(r).
2*(r + 4)*(r + 41)/5
Let l = -5933/36 - -1484/9. Let r(u) be the first derivative of -1/2*u - 3/8*u**2 - 9 - l*u**3. Suppose r(v) = 0. What is v?
-2, -1
Let r(f) = -f**2 + 5*f - 4. Let v be r(3). Suppose 2 = -v*t, 0*g - 3*g = 4*t - 17. Solve 57*d**2 + g*d + 3*d - 62*d**2 = 0 for d.
0, 2
Suppose 0 = -5*o + 2*o + 30. Let g be (-1 - 2 - 2)*(-6)/o. Solve 0*i**g + 5*i**5 + 2*i**3 + i**3 - 8*i**5 = 0.
-1, 0, 1
Let y(k) be the second derivative of k**9/30240 - k**7/1680 + k**6/720 - k**4/3 + k**2 + 43*k. Let w(l) be the third derivative of y(l). Factor w(j).
j*(j - 1)**2*(j + 2)/2
Let z(h) be the third derivative of h**7/945 - 47*h**6/270 + 106*h**5/15 + 3550*h**4/27 + 20000*h**3/27 + 3*h**2 - 121. Let z(j) = 0. Calculate j.
-4, -2, 50
Suppose 8 = -k + q - 4*q, 2*k - 20 = 3*q. Find s such that 46*s**3 - 4*s - 2 - 8*s**2 + 2*s**k + 8 - 42*s**3 = 0.
-3, -1, 1
Factor -81 + 212*x - 2*x**2 - 136 + 77 - 250*x.
-2*(x + 5)*(x + 14)
Let s be 5 + (-4 - -1)/(-3) + -38 + (64 - 32). Find b such that -1/5*b**4 + 0*b + 8/5*b**3 - 16/5*b**2 + s = 0.
0, 4
Let z(j) be the first derivative of j**6/60 - j**5/3 + 3*j**4/4 + 5*j**2/2 + 9*j - 122. Let u(r) be the second derivative of z(r). Factor u(c).
2*c*(c - 9)*(c - 1)
Let d = 1202/7 + -28841/168. Let b(q) be the first derivative of 0*q**5 + 1/4*q**4 - d*q**6 - 3/8*q**2 + 1/2*q - 16 - 1/6*q**3. Factor b(a).
-(a - 1)**3*(a + 1)*(a + 2)/4
Let v(u) be the first derivative of -u**8/2352 + u**7/245 - 3*u**6/280 + u**5/105 + 43*u**2 + u - 136. Let x(l) be the second derivative of v(l). Factor x(g).
-g**2*(g - 4)*(g - 1)**2/7
Let a(i) = -i**4 + 8*i**3 + i. Let v(x) = -31*x**3 - 40*x**2 + x. Let t(u) = -2*a(u) + 2*v(u). What is o in t(o) = 0?
-1, 0, 40
Let k(n) be the second derivative of n**4/20 + 151*n**3/10 + 666*n**2/5 + n + 274. Find l, given that k(l) = 0.
-148, -3
Suppose -1/2*j**2 + 56 - 1/2*j**3 + 20*j = 0. What is j?
-4, 7
Let x(j) = -3*j**3 + 2*j**2 - 1. Let a(q) = -6*q**3 + 218*q**2 - 3888*q - 1. Let t(l) = -a(l) + x(l). Determine g so that t(g) = 0.
0, 36
Let n be ((-2)/3)/((-2)/6). Suppose 0 = -s + n*s - 4*l - 11, 0 = -s - 5*l - 7. Let 11*g**2 + s*g - g - 12*g**2 + 5*g**2 = 0. Calculate g.
-1/2, 0
Let d(c) = 3*c**2 + c - 1. Let f(n) = -10*n**3 + 519*n**2 + 411*n - 109. Let l(w) = 18*d(w) - 2*f(w). Factor l(y).
4*(y - 50)*(y + 1)*(5*y - 1)
Find q such that -169/5 - 1/5*q**4 - 222/5*q**2 + 364/5*q + 28/5*q**3 = 0.
1, 13
Let x = 66 - 48. Suppose 2*w + x - 24 = 0. Factor -5*p**5 + 2186 - 2186 + 7*p**w + 8*p**3 + 10*p**4.
-5*p**3*(p - 3)*(p + 1)
Suppose d + 8 = 5*d. Suppose -286 - 314 = -d*y. Solve -27*h**3 + y*h - 500 - 60*h**2 + 48*h**3 - 17*h**3 = 0.
5
Let i = -439/14 + 7575/238. Let r(x) be the second derivative of 26*x + i*x**2 + 1/170*x**5 + 0 - 1/51*x**4 - 4/51*x**3. Factor r(z).
2*(z - 2)**2*(z + 2)/17
Suppose 8*q - 3*t = 4*q + 288, -4*t = q - 72. Factor 19*p + 21*p - 2*p**2 - q*p.
-2*p*(p + 16)
Let l = -2/9995 + 10001/29985. Let a(z) be the first derivative of 4 + 0*z - l*z**3 - 1/2*z**2. Factor a(r).
-r*(r + 1)
Factor -3186/17*z - 10/17*z**2 + 1276/17.
-2*(z + 319)*(5*z - 2)/17
Suppose -331*t = -569*t + 714. Solve 4/7*j**2 - 6/7*j + 4/7*j**t + 2/7 - 6/7*j**4 + 2/7*j**5 = 0.
-1, 1
Let p = -8969 - -8973. Let y(w) be the third derivative of 0*w**3 - 7*w**2 + 0*w - 1/210*w**7 - 1/120*w**6 + 1/24*w**p + 1/60*w**5 + 0. Let y(i) = 0. What is i?
-1, 0, 1
Let t(z) be the third derivative of 2*z**7/105 - 19*z**6/40 + 67*z**5/20 - 37*z**4/6 - 2*z**2 - z - 610. Factor t(y).
y*(y - 4)*(y - 1)*(4*y - 37)
Let o(u) be the first derivative of -3*u**5/80 - 11*u**4/16 - 15*u**3/8 + 81*u**2/8 + 142*u + 252. Let p(j) be the first derivative of o(j). Factor p(d).
-3*(d - 1)*(d + 3)*(d + 9)/4
Let c(y) be the first derivative of -y**4/14 - 134*y**3/7 + 53. Find l such that c(l) = 0.
-201, 0
Let p(r) be the third derivative of r**6/600 + r**5/30 + 3*r**4/40 + 462*r**2. Factor p(q).
q*(q + 1)*(q + 9)/5
Let a = -223/15 + 15. Let x(u) be the third derivative of 1/30*u**4 + 0*u + 32*u**2 - a*u**3 + 1/75*u**5 + 0 - 1/150*u**6. Solve x(w) = 0.
-1, 1
Let b(r) = 28*r**2 + 197*r - 381. Let d(a) = -22*a**2 - 196*a + 380. Let q(w) = 4*b(w) + 5*d(w). What is z in q(z) = 0?
2, 94
Let o(u) be the third derivative of -u**7/490 + 2*u**6/35 - 29*u**5/140 + u**4/4 - 8300*u**2. Factor o(x).
-3*x*(x - 14)*(x - 1)**2/7
Suppose 0 = -c - c. Suppose 3*r = -3*a - r + 599, c = 3*a - r - 589. Let a*z**3 - 196*z**3 + 14 + 9*z**2 + 2 + 24*z = 0. What is z?
-4, -1
Solve 133*w**3 - 642*w**3 - 301*w**2 + 510*w**3 = 0 for w.
0, 301
Let p be ((-2)/(-4))/(3/9)*-4. Let k = p + 10. Determine c so that 0*c**2 - 2*c + k*c + 2*c - 4*c**2 = 0.
0, 1
Let g(a) = a**2 + 1. Let l be g(-2). What is b in 8*b**l - 13*b**2 - 20*b**2 - 3*b**2 + 2*b**4 + 18*b**4 - 24*b**3 = 0?
-3, -1, 0, 3/2
Let w = -9229 - -9231. Let l(o) be the first derivative of 39 + 34/27*o**3 + 1/9*o**4 + 14/9*o + 22/9*o**w. Factor l(y).
2*(y + 1)*(y + 7)*(2*y + 1)/9
Factor 65*n**4 + 204*n + 273*n**3 + 223*n**3 - 710*n**2 - 21*n**4 - 13*n**4 - 21*n**4.
2*n*(n - 1)*(n + 51)*(5*n - 2)
Suppose -r = 2*j - 18, 20*r = -4*j + 21*r + 30. Suppose -j = 10*c - 13*c - n, 3*c - 3*n = 0. Factor s + 1/4*s**c + 1.
(s + 2)**2/4
Factor 146*u**2 - 16*u**2 + 544*u + 261*u + 680 + 5*u**3.
5*(u + 1)*(u + 8)*(u 