2 + 3*d. Let z(t) = p*q(t) - 14*n(t). Factor z(f).
-2*(f + 1)*(3*f + 2)
Let r(z) = z**2 + 36*z + 326. Let h be r(-19). Solve -8/3*u**2 + 2/3*u**h + 10/3*u - 4/3 = 0.
1, 2
Let y(r) = r**3 - r**2 - 3*r - 3. Let v be y(3). Factor 2 - v*c**3 - 2 + 3*c**3 + 3*c**4.
3*c**3*(c - 1)
Solve 63 - 55*t**2 - 120*t - 11*t**3 + 6*t**3 - 6 + 123 = 0.
-6, 1
Factor 90*y + 35/2*y**3 - 75*y**2 - 20.
5*(y - 2)**2*(7*y - 2)/2
Let g be (-1 + 13)/(-1 + 3). Suppose g*o = 3*o. Factor 0*f**2 + o*f - 1/2*f**4 + 0 + 0*f**3.
-f**4/2
Let o(h) be the second derivative of h**4/12 - 2*h**3/3 + 2*h**2 + 8*h. Suppose o(c) = 0. Calculate c.
2
Suppose 2*a + p - 14 = 0, 0 = -a + 4*p + 9 - 20. Suppose 3/5*z - 1/5*z**a - 1/5 - 2/5*z**3 - 2/5*z**2 + 3/5*z**4 = 0. Calculate z.
-1, 1
Let z(h) = -h**2 + 4*h. Let v be z(2). Factor 6*i**2 + 6*i**3 + 0*i**4 + 3 + i**v - 9*i + 3*i**5 - 8*i**4 - 2*i**4.
3*(i - 1)**4*(i + 1)
Let q be 2*3/(18/21). Suppose 16 = -q*a + 3*a, -o - 2*a - 6 = 0. Factor -4 + 3*j**2 + 8*j - 11*j**o + 2*j + 2*j**3.
2*(j - 2)*(j - 1)**2
Factor 0*j + 0 + 1/4*j**4 + 0*j**2 + 1/4*j**3.
j**3*(j + 1)/4
Find o, given that 2/3*o**2 + 0 - 1/3*o**3 - 1/3*o = 0.
0, 1
Let k(t) = 10*t**2 - t + 10. Let l(v) = v**3 + v**2 + v - 2. Let j be l(0). Let i(c) = 3*c**2 + 3. Let m(g) = j*k(g) + 7*i(g). Factor m(p).
(p + 1)**2
Let y(d) be the third derivative of -d**6/30 + 3*d**5/5 - 9*d**4/2 + 18*d**3 + 5*d**2. Factor y(b).
-4*(b - 3)**3
Suppose 3*c + 12 = -0, -5*c = 3*f + 8. Let l(s) be the third derivative of 5/4*s**f + 2/3*s**3 + 0*s + 25/48*s**6 + 5/4*s**5 + 2*s**2 + 0. Factor l(h).
(5*h + 2)**3/2
Factor 273 - 4*s - 273 + 2*s**2.
2*s*(s - 2)
Suppose -3 - 15 = -6*c. Let d(b) be the third derivative of 3/10*b**5 - 2/3*b**c + 0 + 7/12*b**4 + 0*b - 3*b**2. Determine x, given that d(x) = 0.
-1, 2/9
Solve 0*p - 4/3 + 4/3*p**2 = 0 for p.
-1, 1
Let h(x) be the third derivative of -x**8/1848 - 4*x**7/1155 + x**5/33 + x**4/132 - 2*x**3/11 - x**2 + 11. Find r, given that h(r) = 0.
-3, -2, -1, 1
Let v be 126/(-24)*6/9. Let y = 4 + v. Find a, given that -y*a**2 - a - 1/2 = 0.
-1
Let x(n) be the second derivative of n**7/147 + 2*n**6/35 + 6*n**5/35 + 5*n**4/21 + n**3/7 - 9*n. Solve x(r) = 0 for r.
-3, -1, 0
Let g(a) = -2*a**3 + 2*a**2. Let o(u) = 5*u**3 - 4*u**2. Let s(r) = -14*g(r) - 6*o(r). Suppose s(v) = 0. Calculate v.
-2, 0
Let r(f) be the second derivative of -1/18*f**4 + 0*f**5 + 0*f**3 + 1/45*f**6 + 0 + 2*f + 0*f**2. Suppose r(b) = 0. What is b?
-1, 0, 1
Let u(m) = -5*m - 7. Let f be u(-2). Let x = -11 - -15. Factor 2*t**x + 2*t**3 + 6*t**2 - f*t**3 - 2*t - 5*t**3.
2*t*(t - 1)**3
Let z(u) be the first derivative of -u**6/36 - u**5/10 + u**4/24 + 7*u**3/18 - 2*u/3 - 2. What is k in z(k) = 0?
-2, -1, 1
Find m, given that 0 - 1/3*m + 4/3*m**3 - m**2 = 0.
-1/4, 0, 1
Suppose -7 = 3*g - 25. Suppose 2 = -4*o + g*o. Factor 0*y**3 - y + y**3 - 3*y**2 + o + 2*y**2.
(y - 1)**2*(y + 1)
Determine s, given that -2/5*s**4 + 2/5*s**2 - 1/5*s**5 + 1/5*s**3 + 0 + 0*s = 0.
-2, -1, 0, 1
Let q(u) be the third derivative of 0*u + 0*u**3 + 0*u**5 + 0 - 1/200*u**6 + u**2 + 1/40*u**4. Suppose q(t) = 0. What is t?
-1, 0, 1
Suppose -c + 6*c + 8 = -3*k, 4*k = c + 20. Let a(n) be the second derivative of 0 - 1/6*n**k - 1/6*n**3 + 2*n + 0*n**2. What is t in a(t) = 0?
-1/2, 0
Let z(i) = 2*i**3 - 4*i**2 - 6*i + 8. Let t(p) = p**3 - 3*p**2 - 4*p + 5. Let f(a) = -8*t(a) + 5*z(a). Solve f(n) = 0.
-1, 0
Let j be 0 + 2 + -1 - 216/324. Determine o so that -2/3 + o - j*o**2 = 0.
1, 2
Solve 0*w + 0 - w**2 + 5/2*w**3 = 0.
0, 2/5
Let p = 260/423 - 8/47. Solve p + 2/3*h**2 - 10/9*h = 0 for h.
2/3, 1
Let l be 72/(-16)*8/(-18). Let b(v) be the first derivative of -1/3*v**3 + 0*v - 2 + 1/2*v**l. Find f, given that b(f) = 0.
0, 1
Suppose 3 = 3*g + 6. Let w be (-4)/(g - -3) - -7. What is k in w*k**2 - 1 + 0 + 3*k - 1 = 0?
-1, 2/5
Let m(h) be the third derivative of -h**7/315 + h**5/90 + 7*h**2. Factor m(a).
-2*a**2*(a - 1)*(a + 1)/3
Let v(w) = -4*w + 7. Let o be v(0). Let z(l) be the third derivative of 0 - 2/5*l**5 - 2*l**2 - 1/3*l**4 + 1/15*l**o + 0*l**3 + 0*l + 3/20*l**6. Factor z(q).
2*q*(q - 1)*(q + 2)*(7*q + 2)
Let h(t) be the second derivative of -t**6/240 - t**5/120 + t**4/24 - 7*t**2/2 - t. Let f(i) be the first derivative of h(i). Factor f(g).
-g*(g - 1)*(g + 2)/2
Let z = -148 + 148. Find a such that z*a + 2/9 - 2/9*a**2 = 0.
-1, 1
Suppose -j + 15 = -4*i, 4*j = 6*j - i - 9. Suppose 0 = -f - 0*f. Let 1/3*y**j + 1/3*y**2 + 0*y + f = 0. Calculate y.
-1, 0
Let f be 3*(-4)/(-24)*0. Find v, given that f - 4/3*v**3 + 2/3*v**2 + 0*v = 0.
0, 1/2
Let m be 3*((-155)/30 + (-4 - -10)). Factor 1/6*f**3 + m*f - 7/6*f**2 - 3/2.
(f - 3)**2*(f - 1)/6
Let x = 2 - -1. Factor 5*t**2 - 2*t**2 + 7*t**3 + 2*t**3 + x*t**4 - 3*t**3.
3*t**2*(t + 1)**2
Let k(x) be the first derivative of 2*x - 1/6*x**2 + 1/36*x**4 - 4 + 0*x**3. Let r(l) be the first derivative of k(l). Factor r(g).
(g - 1)*(g + 1)/3
Let p = 1183 + -1183. Factor 0*f + 1/8*f**3 + 0*f**2 + p.
f**3/8
Factor 4/5*j - 4/5*j**2 + 8/5.
-4*(j - 2)*(j + 1)/5
Let v(f) be the third derivative of -f**8/84 + f**6/30 + 9*f**2. Factor v(t).
-4*t**3*(t - 1)*(t + 1)
Let j(t) be the third derivative of 1/108*t**4 - 1/270*t**5 + 0*t**3 + 4*t**2 + 0*t + 0. Find z, given that j(z) = 0.
0, 1
Suppose 0 = -2*d + 6*d - 52. Suppose 5*b - d = -3. Factor -1/3 + 1/3*c**b + 0*c.
(c - 1)*(c + 1)/3
Let o(t) be the third derivative of t**8/336 + t**7/70 + t**6/120 - t**5/20 - t**4/12 + 9*t**2. Solve o(b) = 0 for b.
-2, -1, 0, 1
Let v(q) be the third derivative of q**6/180 + q**5/45 + q**4/36 + q**2. Factor v(u).
2*u*(u + 1)**2/3
Let y(c) = -2*c**2 - 39*c - 288. Let i(o) = o**2 + 20*o + 144. Let h(k) = -9*i(k) - 4*y(k). Factor h(a).
-(a + 12)**2
Suppose 13*l + 9 - 35 = 0. Factor 0*c + 0*c**l + 1/4*c**3 + 0.
c**3/4
Factor 3*x + x**2 - 1 + 6 - 2 - 1.
(x + 1)*(x + 2)
Suppose -54*b - 9 = -57*b. Suppose -1/2*d**5 + 1/2 + 1/2*d**4 - 1/2*d + d**b - d**2 = 0. What is d?
-1, 1
Let t(k) be the third derivative of 1/300*k**6 - 2*k**2 - 1/12*k**4 + 0 + 0*k + 1/5*k**3 + 1/150*k**5. What is n in t(n) = 0?
-3, 1
Let p(q) be the first derivative of q**5/35 + q**4/28 - 57. Factor p(d).
d**3*(d + 1)/7
Factor 14*r**4 + 7 + 36*r - 31 - 2*r**4 + 69*r**3 + 126*r**2 + 24*r.
3*(r + 2)**3*(4*r - 1)
Let t(r) = 7*r**4 - 7*r**3 + 3*r**2 + 2*r - 5. Let j(b) = 4*b**4 - 4*b**3 + 2*b**2 + b - 3. Suppose -4*f + 3*f = 5. Let u(z) = f*j(z) + 3*t(z). Factor u(s).
s*(s - 1)**2*(s + 1)
Let m be ((-11)/(132/18))/((-2)/4). Let o(f) be the second derivative of 0 - 1/24*f**4 - f + 1/4*f**2 + 0*f**m. Factor o(n).
-(n - 1)*(n + 1)/2
Let v(o) be the second derivative of -o**5/150 + 2*o**4/45 - o**3/9 + 2*o**2/15 - 2*o. Solve v(r) = 0.
1, 2
Let h be (-1 + 0)*(-7 - -3). Let d = 8 - h. Solve 0*q + 0*q**2 - 1/3*q**3 - 1/3*q**d + 0 = 0 for q.
-1, 0
Let v = 267 + -4001/15. Let c(n) be the third derivative of 2/3*n**3 - 1/12*n**6 - n**2 + 0 - v*n**5 + 0*n - 1/12*n**4. Factor c(w).
-2*(w + 1)**2*(5*w - 2)
Let q be 3*(1 + (4 - 2)). Let w be (24/(-54))/((-3)/q). Factor 4/3*f + 1/3*f**2 + w.
(f + 2)**2/3
Let o(q) = -q**2 - 8*q + 3. Let t be o(-8). Suppose m - t*m = -6. Let -14*d**5 - 3*d**2 + 6*d**3 + 4*d + 4*d**m - 18*d**4 - 3*d**2 + 24*d**2 = 0. What is d?
-1, -2/7, 0, 1
Factor 2/5*y**5 - 2/5*y**4 + 8/5 + 2/5*y**2 - 2*y**3 + 16/5*y.
2*(y - 2)**2*(y + 1)**3/5
Let i(v) = v + 1. Let z be i(4). Suppose 22 - 2 = z*t. Factor 6*o**t + 0*o**2 + 2*o**2 - 8*o**4.
-2*o**2*(o - 1)*(o + 1)
Let q = 1084/411 - -4/137. Let o = -3/307 + 15359/921. Solve q + o*h**2 - 40/3*h = 0.
2/5
Let w(p) be the second derivative of -p + 1/3*p**3 + 0 + 0*p**2 - 1/1440*p**6 + 0*p**4 + 0*p**5. Let i(c) be the second derivative of w(c). Factor i(x).
-x**2/4
Let b(p) be the second derivative of -p**6/45 + p**5/10 + p**4/18 - p**3/3 + 2*p. Factor b(r).
-2*r*(r - 3)*(r - 1)*(r + 1)/3
Let f = -16/5 + 17/5. Suppose -1/5*d**3 + 0 + 1/5*d**2 + f*d**5 - 1/5*d**4 + 0*d = 0. Calculate d.
-1, 0, 1
Let i be (1/(-3))/((-24)/18). Factor 1/2*c + 1/4 + i*c**2.
(c + 1)**2/4
Factor -4*g**4 + 2*g - 4*g + 2*g + 32*g**3 - 64*g**2.
-4*g**2*(g - 4)**2
Suppose 0*z**4 - 2/5*z**5 + 0*z**2 + 0 + 2/5*z**3 + 0*z = 0. Calculate z.
-1, 0, 1
Let w(p) be the second derivative of 2/45*p**3 + 0 + 0*p**2 + 1/90*p**4 + 11/225*p**6 + 4/105*p**7 -