*5/2 + 65*u**4/12 - 10*u**3 + 10*u**2 - 81*u. Factor h(q).
5*(q - 2)**2*(q - 1)**2
Suppose 10 = -5*h - 0*h. Let c be (11 - 11) + (h - (-138)/21). Factor 2/7*k**2 + 2/7*k**4 + c + 12/7*k**3 - 48/7*k.
2*(k - 1)**2*(k + 4)**2/7
Let l(i) = -5*i**2 - 10*i - 11. Suppose -4*q - 7 = 21. Let w be (-400)/35 - 3/q. Let c(p) = -p**2 - 2*p - 2. Let t(v) = w*c(v) + 2*l(v). Factor t(o).
o*(o + 2)
Let m = 24 - 17. Let h(t) be the second derivative of 1/21*t**m - 4*t + 0*t**3 - 2/15*t**6 + 0 + 0*t**2 + 1/10*t**5 + 0*t**4. Let h(s) = 0. Calculate s.
0, 1
Let -10 + 9/2*k**2 - 11/2*k = 0. What is k?
-1, 20/9
Let z be 4/(-6) - 544/(-51). What is w in 8*w**2 - 3*w**4 + 7*w**2 + z*w + 0*w**2 - 2*w**4 = 0?
-1, 0, 2
Suppose -22*o + 32*o + 200 = 0. Let s be 12/10*1*o/(-8). Determine n, given that 4/9*n**2 + 2/9*n**5 + 2/3*n - 4/9 - 8/9*n**s + 0*n**4 = 0.
-2, -1, 1
Let p(x) be the third derivative of -2*x**7/105 - 2*x**6/15 - 2*x**5/15 + 2*x**4/3 + 2*x**3 + 557*x**2. Suppose p(i) = 0. What is i?
-3, -1, 1
Let t(s) be the second derivative of -s**6/105 - s**5/35 + 2*s**4/3 - 46*s**3/21 + 3*s**2 + 202*s. Let t(v) = 0. What is v?
-7, 1, 3
Let m be 1/4 - (-15)/4 - 2. Let s(n) = 2*n**2. Let u(o) = 34*o**2 - 16*o - 32. Let x(l) = m*u(l) - 36*s(l). Factor x(k).
-4*(k + 4)**2
Suppose 12 = -n + 5*u - 3, 2*n - 3*u = -9. Let w be ((-2)/(-12))/(35/(-10) - -4). Suppose w*h**4 - 1/3*h**5 + 0*h**2 + n + 2/3*h**3 + 0*h = 0. Calculate h.
-1, 0, 2
Suppose -3*o = 50*t - 53*t, -2*t + 4*o = 0. Factor -208/3*a**2 - 676/3*a**3 - 16/3*a + t.
-4*a*(13*a + 2)**2/3
Suppose 2*q + 4 = 0, -2*r + 2*q + 49 = 613. Let t be 639/r + (1 - -1)*2. Find c such that -1/2 + c**2 + t*c = 0.
-2, 1/4
Let q = 87 - 81. Let h be (3/(-4))/(-1*q/4). Factor 1/4 + 1/4*v**2 + h*v.
(v + 1)**2/4
Factor -4*b**3 - 42*b**3 + 24*b**4 + 32*b**2 - 10*b**3 + 0*b**3 - 4*b**5 + 8*b**3.
-4*b**2*(b - 2)**3
Let q(u) be the third derivative of -2*u**7/525 - u**6/150 + 73*u**2. Let q(y) = 0. What is y?
-1, 0
Factor -48*o**3 - 36*o**2 - 3/4 - 9*o.
-3*(4*o + 1)**3/4
Suppose -2*s + 8*s - 30 = 0. Factor 240*p**3 - 65*p**4 + 2*p**5 + p**s - 180*p**2 + 0*p**4 + 2*p**5.
5*p**2*(p - 6)**2*(p - 1)
Suppose y = -3*x - 206 + 22, 2*x = -3*y - 111. Let j = x - -257/4. Find r such that 0 - 1/4*r**2 + 1/4*r**3 + 3/4*r**5 + j*r**4 + 0*r = 0.
-1, 0, 1/3
Let h(x) be the second derivative of -x**6/15 - x**5/10 + 2*x**4 + 28*x**3/3 + 16*x**2 + 386*x. Factor h(g).
-2*(g - 4)*(g + 1)*(g + 2)**2
Let m(n) be the third derivative of -48*n**2 + 0*n**3 + 1/3*n**4 + 1/84*n**8 + 3/10*n**6 + 7/15*n**5 + 2/21*n**7 + 0*n + 0. Factor m(z).
4*z*(z + 1)**3*(z + 2)
Let f = 1962/5 + -392. Let t(n) be the first derivative of 6 - 9/20*n**4 + 0*n + 3/5*n**5 - f*n**3 + 0*n**2. Solve t(g) = 0.
-2/5, 0, 1
Suppose 171 = 3*f - 6*z + 3*z, -4*f + 2*z = -226. Let k be -1 + 0 + 0 - (-72)/f. Find q, given that 2/7*q + 4/7 - k*q**2 = 0.
-1, 2
Let j be ((-27)/156)/(((-2)/(-4))/(152/(-57))). Factor j - 2/13*o**2 + 2/13*o.
-2*(o - 3)*(o + 2)/13
Let n(i) be the first derivative of -i**6/2340 - 4*i**3/3 - 36. Let z(c) be the third derivative of n(c). Factor z(j).
-2*j**2/13
Factor -2*b**3 - 8 + 1/4*b**5 + 4*b**2 + 4*b - 1/2*b**4.
(b - 2)**3*(b + 2)**2/4
Let p(z) be the first derivative of -z**5/390 + 7*z**4/78 - 49*z**3/39 + 7*z**2/2 - 1. Let a(x) be the second derivative of p(x). Factor a(j).
-2*(j - 7)**2/13
Let h(f) = -395*f - 3157. Let s be h(-8). Factor -10 - 217/2*n**2 - 49/2*n**s + 68*n.
-(n + 5)*(7*n - 2)**2/2
Factor 0*z**2 + 14*z + z - 5*z - 5*z**2 - 5.
-5*(z - 1)**2
Let s(o) be the third derivative of -5/48*o**4 + 1/4*o**3 + 0*o + 1/120*o**5 + 9 + 1/240*o**6 - 4*o**2. Solve s(h) = 0.
-3, 1
Let p = 138 + -138. Factor p + 0*j**2 + 2/5*j - 2/5*j**3.
-2*j*(j - 1)*(j + 1)/5
Let l(r) be the third derivative of r**8/1848 - 2*r**7/385 + 3*r**6/220 - 2*r**5/165 + r**2 - 4. Suppose l(q) = 0. What is q?
0, 1, 4
Let j(z) be the second derivative of -1/45*z**5 + 1/27*z**4 + 0*z**2 + 0 - z + 0*z**3. What is f in j(f) = 0?
0, 1
Let h(j) be the first derivative of -j**4/18 - 16*j**3/27 - 7*j**2/3 - 4*j + 297. Determine v, given that h(v) = 0.
-3, -2
Factor -273*y + 100*y**3 + 138 - 189*y**3 + 92*y**3 + 132*y**2.
3*(y - 1)**2*(y + 46)
Let b(y) = -7 + 360*y + 2606 + 110 + 3*y**2 + 9*y**2. Let i(x) = -3*x**2 - 90*x - 677. Let z(v) = 2*b(v) + 9*i(v). Let z(p) = 0. What is p?
-15
Let t = -382 - -268. Let k = t - -118. Factor 0 + 8/3*s**k + 10*s**3 - 8/3*s + 8*s**2.
2*s*(s + 2)**2*(4*s - 1)/3
Let n(t) be the first derivative of -5*t**4/4 - 20*t**3/3 + 95*t**2/2 - 70*t + 58. Suppose n(c) = 0. What is c?
-7, 1, 2
Let i = -815/13608 - -16/243. Let w(s) be the third derivative of -i*s**4 + 0 + 0*s**3 - 2*s**2 + 0*s - 1/420*s**5. Let w(m) = 0. What is m?
-1, 0
Let j(s) be the second derivative of s**5/20 - 6*s + 4. Factor j(l).
l**3
Let l = 3291/11 - 299. Suppose n + 3 = 6. Find t such that 4/11*t**2 - l*t + 2/11*t**n - 4/11 = 0.
-2, -1, 1
Let o(u) be the second derivative of 5/42*u**7 + 0*u**5 + 0 + 0*u**4 + 15*u + 0*u**2 + 0*u**3 + 1/3*u**6. Factor o(d).
5*d**4*(d + 2)
Let c(x) = 3*x + 31. Let j be c(-8). Determine l so that 20*l**2 - 8*l + 2*l**5 - 10*l**3 - 3*l**5 - 8*l**3 + 0*l**4 + j*l**4 = 0.
0, 1, 2
Let w = 2403/1045 + -43/19. Let h(p) be the second derivative of -4/33*p**3 + 1/66*p**4 - 1/11*p**2 - 7*p + 0 + w*p**5. Solve h(a) = 0 for a.
-1, -1/4, 1
Let l(m) be the first derivative of 0*m - 5/4*m**4 - 1/5*m**5 + 0*m**2 + 1/6*m**6 - m**3 + 22. Factor l(r).
r**2*(r - 3)*(r + 1)**2
Find t, given that -23*t + 5*t**2 - 5*t - 4*t - 16*t - t**2 + 2*t**3 = 0.
-6, 0, 4
Let z(l) = l**3 + 3*l**2 - 5*l - 2. Let b(k) = -k**3 - 5*k**2 + 7*k + 2. Let w be b(-6). Let j be z(w). Factor -3*f**3 + 6*f**2 - 5*f**2 + j*f**2.
-3*f**2*(f - 1)
Let v be 9/((9/4)/3). Let h = -12 + v. Factor 4*d**2 + h*d**4 - 9 + 6*d + 0*d**4 - 8*d**3 + 5 + 2*d**5.
2*(d - 1)**3*(d + 1)*(d + 2)
Suppose 4*o - 704 = 4*u, o + 4*u = 6*o - 879. Let m be o*((-12)/(-14) - 0). Let -63*p**2 + 12 - 63*p**4 + 0 + m*p**3 - 36*p**2 = 0. What is p?
-2/7, 2/3, 1
Let b be 7/18 + ((-12)/(-54))/(-1). Let s be (-2)/(-12)*(0 - -2). Factor 0 + s*y**4 + 0*y + 1/6*y**5 + 0*y**2 + b*y**3.
y**3*(y + 1)**2/6
Find h such that 0 - 18*h + 9/2*h**3 + 3/4*h**4 - 57/4*h**2 = 0.
-8, -1, 0, 3
Let c(g) = -g + 4. Let a(o) = -4*o + 19. Let j(k) = 2*a(k) - 11*c(k). Let q be j(3). Factor -7*s**2 + 3*s**3 - q*s - 5*s**3 - s**3 + s**2.
-3*s*(s + 1)**2
Suppose 3*m - 9 = 2*c, 18 = c - 2*m + 5*m. Factor -24*r + 26 + 5*r**3 + c*r**3 + 10 - 2*r**4 - 54 + 4*r**2.
-2*(r - 3)**2*(r + 1)**2
Let m be (4 - -1)/(25/30). Let g(s) = -5*s**3 + 7*s**2 - s - 7. Let w(d) = 4*d**3 - 6*d**2 + d + 6. Let r(n) = m*w(n) + 5*g(n). Factor r(l).
-(l - 1)*(l + 1)**2
Determine c, given that 0 + 0*c - 8/3*c**2 - 28/3*c**3 = 0.
-2/7, 0
Let v(d) be the second derivative of -d**6/6 + 5*d**5/4 + 35*d**4/2 + 190*d**3/3 + 100*d**2 + 2*d - 259. Factor v(t).
-5*(t - 10)*(t + 1)*(t + 2)**2
Let z be -71 - -81 - 40/4. Factor -2/9*u**2 + 0*u - 2/9*u**4 - 4/9*u**3 + z.
-2*u**2*(u + 1)**2/9
Suppose -5 + 36*n**3 + 4*n**3 + 38*n**2 - 8*n**2 + 15*n**4 = 0. Calculate n.
-1, 1/3
Let k = -11/6 - -167/90. Let c(v) be the second derivative of 1/18*v**4 - k*v**6 + 0*v**2 - 1/9*v**3 + 1/30*v**5 + 5*v + 0. Determine z, given that c(z) = 0.
-1, 0, 1
Factor 715/6*l + 5/6*l**3 + 125/6*l**2 - 845/6.
5*(l - 1)*(l + 13)**2/6
Let h(w) = -w**4 - w**3 - w + 1. Suppose 14*q = 7*q + 98. Let c(g) = 5*g**4 - 7*g**3 - 30*g**2 - 19*g - 15. Let s(i) = q*h(i) + 2*c(i). Factor s(m).
-4*(m + 1)**3*(m + 4)
Let g = -6 + 9. Suppose -g*v + 10 = 2*v. Suppose 3*n + 13*n**v - 6*n**3 + 0*n - 15*n + n**4 + 4 = 0. What is n?
1, 2
Let k(m) be the third derivative of m**6/150 - 2*m**5/75 + m**4/30 - 74*m**2 + 1. Factor k(z).
4*z*(z - 1)**2/5
Suppose -20*h + 76 = 18*h. Let w(v) be the third derivative of 0 - 1/2*v**4 - 3*v**3 + 0*v + 2*v**h - 1/30*v**5. Find a, given that w(a) = 0.
-3
Let x be ((-27)/3 - -3) + (-2542)/(-123). Suppose -8*o**2 + x*o + 8/3 = 0. Calculate o.
-1/6, 2
Let r = -15 + 21. Let b = -4 + r. Factor 11*w - 4 - 3 + 3 + 12*w**b + 6.
(3*w + 2)*(4*w + 1)
Let j be 0/(11 - (-3 - -10)). Suppose -1/5*o**3 + j + 2/5*o + 1/5*o**2 = 0. Calculate o.
-1, 0, 2
Let p = 661 - 625. Let c(u) be the first derivative of -5 - 25*u**4 + 220/3*u**3 + p*u - 78*u**2. F