**2 = 0.
-1, 0
Let w(m) = 5*m. Let r(b) = -b**2 + 38*b - 2. Let z(n) = -n + 19. Let j be z(-16). Let f(o) = j*w(o) - 5*r(o). Factor f(g).
5*(g - 2)*(g - 1)
Let m(g) = g**2 - 6*g - 27. Let c be m(9). Let n(f) be the first derivative of -4 - 1/9*f**3 + 1/3*f**2 + c*f. Suppose n(l) = 0. Calculate l.
0, 2
Let l = -14608/201 + -312/67. Let u = l + 78. Factor -4/3*j**4 - 10/3*j**3 + u*j + 2/3 - 2*j**2.
-2*(j + 1)**3*(2*j - 1)/3
Let c = 7 - -1. What is n in -16*n**2 + n**4 - 17*n**4 + c*n**2 + 4*n**2 + 16*n**3 = 0?
0, 1/2
Let w = 76 + -60. Factor 36*k**3 + 64*k + w - 2*k**4 + 2*k**4 + 8*k**3 + 8*k**4 + 84*k**2.
4*(k + 1)*(k + 2)**2*(2*k + 1)
Let -3/2*v**2 + 0 - 1/6*v**3 + 0*v = 0. Calculate v.
-9, 0
Let v(w) be the third derivative of -w**6/180 - 17*w**5/360 - 5*w**4/36 - w**3/9 - 51*w**2 - 3*w. Suppose v(c) = 0. What is c?
-2, -1/4
Let s(c) be the first derivative of c**6/3 - 2*c**5 - c**4/2 + 10*c**3/3 - 104. Factor s(b).
2*b**2*(b - 5)*(b - 1)*(b + 1)
Find g, given that -2*g**3 + 0*g + 0 - 12/5*g**2 - 2/5*g**4 = 0.
-3, -2, 0
Solve -349*p**3 + 0 + 30*p**4 + 178*p**2 + 121*p**3 - 18*p**4 + 78*p**4 - 32*p - 8 = 0 for p.
-2/15, 2/3, 1
Let g(d) be the third derivative of -d**6/90 - 2*d**5/9 - 17*d**4/18 - 16*d**3/9 - 4*d**2 - 14. Suppose g(j) = 0. What is j?
-8, -1
Let r(z) = 15*z**3 - 36*z**2 + 24*z. Let b(d) = d**3 + 2*d. Let l(v) = 12*b(v) - r(v). Factor l(p).
-3*p**2*(p - 12)
Let h(y) be the second derivative of y**5/50 + 16*y**4/15 + 256*y**3/15 - y + 4. Solve h(u) = 0.
-16, 0
Find t such that -1/3*t**2 + 16 - 13/3*t = 0.
-16, 3
Factor 0 + 2*a**2 + 4/3*a**3 + 2/3*a.
2*a*(a + 1)*(2*a + 1)/3
Let m(w) be the third derivative of -w**7/42 + 19*w**6/40 - 71*w**5/30 - 11*w**4/2 + 12*w**3 + 17*w**2 - w. Factor m(r).
-(r - 6)**2*(r + 1)*(5*r - 2)
Let u(p) = -4*p**5 + 3*p**5 - p**4 + p**2 + 3 - 3*p**3 + 1. Let k(g) be the first derivative of g**4/4 - g + 44. Let s(b) = -4*k(b) - u(b). Factor s(v).
v**2*(v - 1)*(v + 1)**2
Suppose -4*o = 0, -4*f + o - 6*o - 4 = 0. Let b be ((-1)/2)/((-7 + 8)*f). Find y, given that -1/4*y**3 - b*y**2 + 0*y + 0 + 1/4*y**4 = 0.
-1, 0, 2
Let w(s) = -s**3 + s**2 - s + 2. Let u(k) = -8*k**3 - 11*k**2 + 3*k - 4. Let r(m) = -2*u(m) - 4*w(m). What is a in r(a) = 0?
-1, 0, 1/10
Suppose 114*b = 112*b + 8, f + 3*b - 12 = 0. Let d(s) be the first derivative of -1/20*s**5 + 1/12*s**3 + 7 + f*s + 1/8*s**2 - 1/16*s**4. Factor d(p).
-p*(p - 1)*(p + 1)**2/4
Let q(t) be the first derivative of -7*t**6/2 + 6*t**5 + 75*t**4/4 - 40*t**3 + 18*t**2 - 500. Determine v so that q(v) = 0.
-2, 0, 3/7, 1, 2
Let g be 16/(-154)*(25 + (-570)/20). Factor -2/11 - 2/11*b**2 + g*b.
-2*(b - 1)**2/11
Let l be (-31)/((-124)/48) - 10. Factor 1/3*p + 1/6*p**l + 0.
p*(p + 2)/6
Let s(i) be the second derivative of i**7/147 - 117*i**6/35 + 41067*i**5/70 - 533871*i**4/14 - 140*i. Factor s(t).
2*t**2*(t - 117)**3/7
Suppose -7*j + 3380 - 3366 = 0. Solve -122/5*n**j - 84/5*n**3 - 8/5 - 56/5*n - 18/5*n**4 = 0.
-2, -1/3
Let r(u) be the second derivative of u**6/60 + u**5/5 + 17*u**4/24 + 5*u**3/6 - 29*u. Factor r(s).
s*(s + 1)*(s + 2)*(s + 5)/2
Let -2 - 3*k + 62 + 4*k**2 + 44 - 105*k = 0. What is k?
1, 26
Let m(p) be the first derivative of 2*p**3/21 - p**2/7 - 4*p/7 - 20. Determine b so that m(b) = 0.
-1, 2
Let w(r) be the first derivative of -5/2*r - 3/2*r**2 - 1/6*r**3 - 3. Factor w(k).
-(k + 1)*(k + 5)/2
Let w(t) = -5*t**2 - 61*t + 844. Let h(j) = -3*j**2 - 60*j + 843. Let g(a) = 6*h(a) - 4*w(a). Factor g(n).
2*(n - 29)**2
Let z(o) be the first derivative of -o**5/20 - 5*o**4/8 + 7*o**3/12 + 49*o**2/2 - 260. Let z(i) = 0. Calculate i.
-7, 0, 4
Let n(z) be the first derivative of 5*z**6/6 + 2*z**5 - 25*z**4/4 - 10*z**3 + 20. Find i, given that n(i) = 0.
-3, -1, 0, 2
Let r(t) = -t**2 - t + 1. Let n(m) = m**2 + 7*m**3 - m**3 - 6*m + m**2 - 4*m**3 - 2. Let l(j) = 2*n(j) + 4*r(j). Solve l(d) = 0 for d.
-2, 0, 2
Let h(i) = -i**4 - 279*i**3 - 19597*i**2 - 38364*i - 19044. Let t(f) = -f**3. Let v(l) = -3*h(l) + 3*t(l). Suppose v(z) = 0. What is z?
-138, -1
Let y(r) be the second derivative of r**3 - 5*r**2/2 + 6*r. Let k be y(2). What is l in -2*l + k*l**2 + l**2 - 7*l**2 + 3*l**3 = 0?
-1, 0, 2/3
Let w(z) be the second derivative of -z**6/60 + z**5/20 + z**4/24 - z**3/6 + 111*z. Let w(r) = 0. Calculate r.
-1, 0, 1, 2
Solve 5/2*k**2 + 2 + 1/4*k**3 + 17/4*k = 0 for k.
-8, -1
Let i(m) be the third derivative of -m**5/150 + 5*m**3/3 - 326*m**2. Find c, given that i(c) = 0.
-5, 5
Let a be (405/(-63) - -7)*((-70)/4)/(-5). Factor 4/3*m - 4/3*m**3 + 4/3*m**a - 4/3*m**4 + 0.
-4*m*(m - 1)*(m + 1)**2/3
Suppose -2*x + 32 = 5*l, -4*l = -491*x + 493*x - 28. Factor -2/5*r**l - 16/5 + 14/5*r**3 - 36/5*r**2 + 8*r.
-2*(r - 2)**3*(r - 1)/5
Let h(d) be the second derivative of 1/4*d**4 + 1/2*d**3 + 0 + 0*d**2 + 4*d. Factor h(y).
3*y*(y + 1)
Suppose 5*y + 2*k = 0, -y = -5*k - 24 - 3. Factor -u**y - 2*u**2 - 2*u**2 - 3*u**2 - 4*u.
-4*u*(2*u + 1)
Let i be (-2 - (-1)/(-2))*10. Let r = i + 27. Find h, given that -25*h**r - h**4 - h - h - 3*h**3 + h**5 + 30*h**2 = 0.
-2, 0, 1
Let i be 0 - -1 - -70*2/60. Solve i*u**4 + 0*u + 8/3*u**2 - 16/3*u**3 - 2/3*u**5 + 0 = 0 for u.
0, 1, 2
Let n = -290 - -290. Let k(r) be the first derivative of n*r - 1/26*r**4 + 4 - 2/13*r**3 - 2/13*r**2. Suppose k(a) = 0. What is a?
-2, -1, 0
Let y(k) = 3*k. Let x(g) = -3*g**2 - 54*g. Let j(b) = -x(b) - 5*y(b). Factor j(m).
3*m*(m + 13)
Factor -11 + 2 - 1324*k - 6*k**2 + 1303*k.
-3*(k + 3)*(2*k + 1)
Let i = -1075 - -1079. Let c(t) be the first derivative of 4/9*t**3 + 0*t - 5/6*t**i + 3 + 0*t**2. Suppose c(z) = 0. What is z?
0, 2/5
Let i(q) = 7*q - 26. Let s be i(4). Factor -20*k**2 - 40*k**2 - 5*k**s - 28*k - 25*k**3 + 8*k + 20.
-5*(k + 1)*(k + 2)*(5*k - 2)
Let w(v) be the third derivative of 3*v**8/56 + 29*v**7/70 - 27*v**6/20 - 69*v**5/20 + 5*v**4/2 + 6*v**3 + 226*v**2. Solve w(i) = 0.
-6, -1, -1/3, 1/2, 2
Suppose n + p = 3, 0 = -5*n - 5*p + 2*p + 7. Let b be ((-6)/12)/(n/4). Suppose t**3 - 4*t**3 + t**3 - 2*t**b = 0. What is t?
-1, 0
Determine g so that 24/5 + 6/5*g - 3/5*g**2 = 0.
-2, 4
Let u(g) be the second derivative of g**5/100 - g**3/30 + 244*g. Suppose u(q) = 0. What is q?
-1, 0, 1
Let q(p) be the first derivative of -5*p**3/3 + 165*p**2 - 5445*p + 66. Suppose q(t) = 0. What is t?
33
Suppose -1 - 3 = -2*b. Suppose -9*q = -19*q + 20. Factor 2/3*c**b + q*c - 8/3.
2*(c - 1)*(c + 4)/3
Let b be 2 + (-9)/3 + 3. Let i be 1 - 1*(b + -5). Let x(y) = -15*y**2 + 15*y + 9. Let n(s) = 7*s**2 - 7*s - 4. Let c(f) = i*x(f) + 9*n(f). Factor c(d).
3*d*(d - 1)
Factor -39*y**5 + 78*y**5 + 2*y**3 - 41*y**5.
-2*y**3*(y - 1)*(y + 1)
Let j(h) = h**2 - 38*h + 359. Let m(r) = -r**2 + 38*r - 358. Let z(n) = -3*j(n) - 2*m(n). Find u, given that z(u) = 0.
19
Let d(j) be the first derivative of -j**3/24 + j**2/8 - j/8 - 20. Determine l so that d(l) = 0.
1
Let a be 2230*(5 + (-9645)/1925). Let k = a + 258/11. What is u in 2/21*u**5 + 8/21*u**4 - k*u + 0 + 4/21*u**3 - 8/21*u**2 = 0?
-3, -1, 0, 1
Let g = 59/10 - 22/5. Let l be 175/120 - 22/(-528). Factor -1/2*h**4 + 1/2*h - l*h**2 + g*h**3 + 0.
-h*(h - 1)**3/2
Suppose 4*j + 24 = 4*v - 0*j, -4*j - 24 = -5*v. Factor 2/5*o**4 + v + 0*o**3 - 4/5*o - 6/5*o**2.
2*o*(o - 2)*(o + 1)**2/5
Let q(v) be the third derivative of 8*v**2 + 0*v - 5/36*v**4 - 1/252*v**7 + 1/24*v**5 - 5/9*v**3 + 0 + 1/72*v**6. Find z such that q(z) = 0.
-1, 2
Let y(m) be the third derivative of -m**9/3780 + m**8/1680 + 7*m**4/24 - 8*m**2. Let u(t) be the second derivative of y(t). Factor u(b).
-4*b**3*(b - 1)
Let h be -1*29/(-9) + -3. Let z be 4/144*4*2. Factor 0 + z*y**2 + 2/9*y**3 - 2/9*y**5 - h*y**4 + 0*y.
-2*y**2*(y - 1)*(y + 1)**2/9
Let o(f) = 815 + f - 808 + 0*f. Let g be o(-2). Factor 4/5*n**4 + 0 + 8/5*n**2 + 8/15*n + 2/15*n**g + 26/15*n**3.
2*n*(n + 1)**2*(n + 2)**2/15
Factor -10 + 4 - 18 - 11 - 21 - 15*n - n**2.
-(n + 7)*(n + 8)
Let i(s) be the first derivative of s**8/42 - 3*s**7/14 + 3*s**6/4 - 9*s**5/8 - 7*s**3/3 - 3*s**2/2 - 31. Let y(z) be the third derivative of i(z). Factor y(d).
5*d*(2*d - 3)**3
Factor -24*l**3 + 39*l**2 + 1642*l - 1648*l + 6*l**3.
-3*l*(l - 2)*(6*l - 1)
Let j(w) be the second derivative of w**6/10 - 17*w**5/20 - w**4/2 + 16*w**3 + 16*w**2 + 55*w + 1. Factor j(z).
(z - 4)**2*(z + 2)*(3*z + 1)
Let t(