uppose -1923 = -17*t - 325. Suppose 5*m - t = -84. Factor 3*d**3 - 3/2*d**4 + 0*d - 3/2*d**m + 0.
-3*d**2*(d - 1)**2/2
Let m(g) = 6*g**2 + 18*g + 6. Let h(l) = 11*l**2 + 34*l + 13. Let t(z) = -3*h(z) + 5*m(z). Factor t(v).
-3*(v + 1)*(v + 3)
Suppose 2*q - 2 - 4 = 0. Suppose q*p - 143 = -4*k - 2, 5 = -5*p. Factor -39*z**2 - 3*z**4 - 5 - 18*z**3 - 4 - k*z - 3.
-3*(z + 1)**2*(z + 2)**2
Let o = -51912/5 - -10390. Find q such that o*q**4 - 4/5 - 2/5*q**3 - 34/5*q**2 - 4*q**5 + 22/5*q = 0.
-1, 2/5, 1/2, 1
Factor 0 + 3/7*z**3 + 0*z**2 + 0*z.
3*z**3/7
Factor 114*s**2 - 37*s + 9*s + 23*s**3 + 27*s**2 - 8*s - 11*s**3.
3*s*(s + 12)*(4*s - 1)
Let p(d) = -2*d**3 + 7*d**2 - 3*d. Let n(y) = 2*y - 1. Let o(l) = -2*n(l) + p(l). Factor o(b).
-(b - 2)*(b - 1)*(2*b - 1)
Let c = -131 + 133. Factor p - 1/4*p**c - 1.
-(p - 2)**2/4
Let o(x) = x + 3. Let c be o(4). Suppose -d - 3*u = c + 5, -3*u = 15. Solve -3*a**d - 2*a**4 + 3*a**4 + a**4 + a**3 = 0.
0, 1
Suppose -r + 8 = 3*t, t - 12 = 2*r - 0*r. Factor g**2 + 4*g**3 - 3*g**t - 5*g**2 + 0*g**3 + 7*g**4 - 4*g.
4*g*(g - 1)*(g + 1)**2
Let l = -1338 + 1342. Suppose -1/6*w**2 - 1/6*w**l + 1/3 + 1/2*w**3 - 1/2*w = 0. Calculate w.
-1, 1, 2
Let t(v) be the first derivative of -2/21*v**3 - 1/14*v**4 - 31 + 2/7*v**2 + 0*v. Factor t(h).
-2*h*(h - 1)*(h + 2)/7
Determine g so that 40 - 141 + g**5 + 289*g + 251*g - 450*g**2 - 115 - 20*g**4 + 145*g**3 = 0.
1, 6
Let z be ((-187)/77 - -3) + (-8)/(-7). Factor -4/7*x**3 - z*x**2 - 8/7*x + 0.
-4*x*(x + 1)*(x + 2)/7
Let x(p) = 8*p**2 - 364*p + 16926. Let m(v) = -27*v**2 + 1090*v - 50777. Let z(i) = 4*m(i) + 14*x(i). Let z(u) = 0. Calculate u.
92
Let u(b) be the second derivative of -b**5/5 + 2*b**4/3 + 10*b**3 - 72*b**2 - 278*b. Factor u(i).
-4*(i - 3)**2*(i + 4)
Let d(r) be the second derivative of 3*r**5/40 - 11*r**4/8 + 9*r**3/2 + 3*r + 10. Factor d(n).
3*n*(n - 9)*(n - 2)/2
Factor 2/3*x**2 - 10/3 - 8/3*x.
2*(x - 5)*(x + 1)/3
Let z(l) = -6*l - 4. Let y = -117 + 116. Let o be z(y). Factor 1/5*d + 0*d**o + 0 - 1/5*d**3.
-d*(d - 1)*(d + 1)/5
Let v(z) be the third derivative of 0*z**4 + 3/160*z**6 + 0*z + 0 - 1/40*z**5 + 21*z**2 + 0*z**3. Factor v(g).
3*g**2*(3*g - 2)/4
Let u(n) be the second derivative of -n**6/360 - n**5/30 - n**4/6 - 10*n**3/3 - 9*n. Let j(t) be the second derivative of u(t). Suppose j(d) = 0. What is d?
-2
Let w(x) be the second derivative of x**7/126 - 4*x**6/45 - x**5/60 + 2*x**4/9 + 55*x - 2. Factor w(j).
j**2*(j - 8)*(j - 1)*(j + 1)/3
Let r be (6 - 190/35)*(35/15 + 0). What is s in 1/3*s**2 + s - r = 0?
-4, 1
Let r(y) = -y**2 - 16*y - 13. Let x be r(-1). Solve -1/2*t - 1/2*t**3 + 0 + t**x = 0.
0, 1
Let t = 2556 + -2551. Let p(v) be the second derivative of 0 - v + 1/14*v**3 + 0*v**2 + 0*v**4 - 3/140*v**t. Factor p(b).
-3*b*(b - 1)*(b + 1)/7
Let u = -2/1155 + 8549/1155. Let i = -7 + u. Factor -3/5*q + i - q**2.
-(q + 1)*(5*q - 2)/5
Let p(q) = -4*q**2 + 4. Suppose 4*o - 5*w = -o + 20, 0 = 2*o - 5*w - 5. Let d(u) = -8*u**2 + 8. Let l(t) = o*p(t) - 3*d(t). Factor l(v).
4*(v - 1)*(v + 1)
Let b(c) = -c**2 + 43*c - 154. Let i be b(4). What is d in -1/5*d**3 - 13/5*d + 6/5 + 8/5*d**i = 0?
1, 6
Let s(a) be the third derivative of -a**7/10 + a**6/4 + a**5/5 - 5*a**4/4 + 7*a**3/3 + 28*a**2. Let z(w) = -1. Let r(t) = -s(t) - 5*z(t). What is b in r(b) = 0?
-1, 3/7, 1
Let f(b) = b**2 - 11*b + 22. Let n be f(3). Let x be (-3)/n - ((-35)/14 + 2). Factor -4*q**x - 18/5*q - 6/5*q**3 - 4/5.
-2*(q + 1)*(q + 2)*(3*q + 1)/5
Let l = 13 - 159/8. Let g = l + 559/72. Let 2/9*i**3 - g*i**2 + 10/9*i - 4/9 = 0. What is i?
1, 2
Suppose 0 = 5*t - 9*n + 6*n, 0 = -3*t + 3*n. Let v(f) be the second derivative of -8*f + 0*f**2 + t + 1/48*f**4 - 1/24*f**3. Factor v(z).
z*(z - 1)/4
Suppose 5*n = 2*n + 24. Suppose 0 = m - 2*w + 5, 0 = 3*m - n*m + 4*w - 7. Factor m - 32*r - 9 - 2*r**5 - 38*r**3 - 50*r**2 - 4*r**4 - 10*r**4.
-2*(r + 1)**3*(r + 2)**2
Factor -65/3*y**2 - 10/3*y**3 + 0 - 10*y.
-5*y*(y + 6)*(2*y + 1)/3
Let a = 12 - 9. Let h(z) be the first derivative of -3 - 9*z**2 - 26*z + 19*z - 20*z - z**a. Determine y, given that h(y) = 0.
-3
Let n(f) = -f - 8. Let v be n(-11). Factor -25 + 52*w + 3*w + 28*w**v - 6*w**3 - 35*w**2 - 17*w**3.
5*(w - 5)*(w - 1)**2
Let o(w) = w**3 + w. Let n(y) be the second derivative of -y**5/10 - 5*y**4/12 + y**3/6 - 11*y. Let p(z) = -2*n(z) + 4*o(z). What is c in p(c) = 0?
-1, -1/4, 0
Let k(n) be the first derivative of -n**6/39 - 2*n**5/65 + n**4/26 + 2*n**3/39 - 308. Suppose k(h) = 0. Calculate h.
-1, 0, 1
Let s(o) be the third derivative of -o**8/112 - o**7/5 + 6*o**6/5 - 5*o**5/2 + 17*o**4/8 - 144*o**2 - 2. Solve s(u) = 0 for u.
-17, 0, 1
Let d(o) be the second derivative of o**6/120 - o**5/5 - 9*o**4/8 + o**3/3 - 11*o. Let i(r) be the second derivative of d(r). Factor i(k).
3*(k - 9)*(k + 1)
Factor -96*v**4 - 192 + 4*v**5 - 443 - 2109 + 848*v**3 + 5292*v - 985*v**2 - 2319*v**2.
4*(v - 7)**3*(v - 2)*(v - 1)
Let j = 11597/2413093 + 3/6367. Let l = 1502/2653 + j. What is v in 6/7*v**2 - 10/7*v - l = 0?
-1/3, 2
Let p(d) = d**2 + 25*d + 128. Let x be p(-18). Let h be -34*2/(-144) + 4/(-18). Factor h*u**x + 1/2*u + 1/4.
(u + 1)**2/4
Let l = 107041/12 - 8926. Let p = 25/4 + l. Let -4/3 - 4/3*h - p*h**2 = 0. What is h?
-2
Let c = 1 - 0. Let l(b) = -2*b**5 + 5*b**4 + 3*b**2 + 3*b + 3. Let m(q) = q**5 - q**4 - q**2 - q - 1. Let j = 2 + 1. Let a(h) = c*l(h) + j*m(h). Factor a(z).
z**4*(z + 2)
Let q be (0 - 2) + 2 + 0. Let m be 154/42 - (8 - 5). Factor -4/3*d + 4/3*d**3 + 2/3*d**4 - m + q*d**2.
2*(d - 1)*(d + 1)**3/3
Let m be 0/(-3) - -1 - -1. Solve i - 2 - 3*i**5 + 4*i**2 - m*i**3 + 5*i**5 - i**5 - 2*i**4 + 0 = 0.
-1, 1, 2
Let y(l) be the first derivative of l**7/252 + l**6/180 - l**5/120 - l**4/72 - 6*l - 15. Let i(x) be the first derivative of y(x). Factor i(c).
c**2*(c - 1)*(c + 1)**2/6
Suppose -y - 2*b + 4 = 0, 2*b = 5*y + 6*b - 14. Let f(p) be the second derivative of -7*p + 0*p**y + 1/3*p**4 - 1/20*p**5 + 0 - 2/3*p**3. Factor f(h).
-h*(h - 2)**2
Let o(d) = 3*d - 9. Let w be o(5). Let l be (-1*7)/(w/(-12)). Factor -32*f + 6 - 50*f**2 - 8*f - l.
-2*(5*f + 2)**2
Suppose 766 = 23*s + 3388. Let b = s + 114. Factor 0 + b*y - 1/2*y**2 - 2*y**3.
-y**2*(4*y + 1)/2
Let g be 22 + -22 + (-1)/(1/(-3)). Suppose -g*i + i - 4 = 4*h, -4*h = -4*i - 8. Factor 0 + 5/3*o**3 + h*o + 0*o**2 + 5/3*o**4.
5*o**3*(o + 1)/3
Let b be (54/4)/(12/32). Determine y so that -11 + 0*y**3 + 11 + 24*y**4 - b*y**2 - 8*y - 28*y**3 = 0.
-1/2, -1/3, 0, 2
Let j(t) = -15*t + 139. Let a be j(9). Let w(n) be the second derivative of n - 2/33*n**3 + 1/66*n**a + 1/11*n**2 + 0. Factor w(m).
2*(m - 1)**2/11
Let l(z) = -z**2 + z + 1. Let g(q) = -17*q + 3. Let r(k) = 8*k - 2. Let t(n) = -2*g(n) - 5*r(n). Let f(w) = 2*l(w) + t(w). Factor f(b).
-2*(b - 1)*(b + 3)
Let j(t) = 3*t**2 + 9*t - 8. Let a be j(-4). Let i(g) be the second derivative of 0*g**2 + 5*g + 0 - 2/3*g**3 - 5/6*g**a - 3/10*g**5. Find k such that i(k) = 0.
-1, -2/3, 0
Let g = 3639 + -3636. Let q be -1 + 0 + 10/6. Factor 2*i**2 + 0*i**g + 0 - q*i**4 - 4/3*i.
-2*i*(i - 1)**2*(i + 2)/3
Let g(v) be the first derivative of v**5/20 - v**3/2 + 29*v**2/2 + 7. Let t(k) be the second derivative of g(k). Determine b so that t(b) = 0.
-1, 1
Suppose -4*q + 3 = -9. Factor 0*h**2 - 47*h - 5*h**2 - 20*h - 245 - q*h.
-5*(h + 7)**2
Suppose -19*s + 3*s = -224. Suppose -b = 5*a - s, -12*a + 7*a - 5*b = -30. Let 16/7*g + 0 + 16/7*g**a + 4/7*g**3 = 0. Calculate g.
-2, 0
Find u such that 4/7*u**2 + 32/7 - 66/7*u = 0.
1/2, 16
Let l(p) be the third derivative of -p**6/420 - 19*p**5/210 - 19*p**4/21 - 4*p**3 + 460*p**2. Factor l(b).
-2*(b + 2)*(b + 3)*(b + 14)/7
Let n = -1064 + 1064. Let t(y) be the first derivative of 0*y - 1/10*y**5 - 1/3*y**3 + 9 + n*y**2 - 3/8*y**4. Factor t(k).
-k**2*(k + 1)*(k + 2)/2
Let g(l) be the third derivative of l**7/1890 - l**6/180 + 13*l**5/540 - l**4/18 + 2*l**3/27 + 121*l**2. Determine u, given that g(u) = 0.
1, 2
Let c(h) be the second derivative of -3/7*h**2 - 10/21*h**3 + 18*h - 3/35*h**5 + 0 - 1/105*h**6 - 2/7*h**4. Suppose c(n) = 0. Calculate n.
-3, -1
Let o(w) = 15*w - w**3 - 9*w - 1 - 5*w. Let f(d) = 17*d**3 - 15*d**2 - 42*d - 13. Let n(b) = -f(b) + 3*o(b). Factor n(c).
-5*(c - 2)*(c + 1)*(4*c + 1)
Let m(r) be the second derivative of 2*