f**3/33 + f**2 - 12*f/11 + 124. Factor p(n).
2*(n + 6)*(2*n - 1)/11
Let g(d) = -4*d**4 - 2*d**3 - 2*d**2 - d. Let z(y) = -9*y**4 - 5*y**3 - 5*y**2 - 2*y. Let i(t) = -7*g(t) + 3*z(t). Factor i(u).
u*(u - 1)**2*(u + 1)
Let s(p) be the third derivative of -p**6/40 - p**5/4 - 3*p**4/8 + 9*p**3/2 + 126*p**2. Find n, given that s(n) = 0.
-3, 1
Let h = 7 - 25. Let z = 22 + h. Suppose 3*v**4 + 3*v**2 - v**z + 0*v**4 - 5*v**4 = 0. Calculate v.
-1, 0, 1
Let j = 6 - -2. Let i(z) be the first derivative of -j*z**2 - 2/5*z**5 + 1 - 8*z**3 + 0*z - 3*z**4. Solve i(u) = 0 for u.
-2, 0
Let l be 0*(1 - (276/24 - 11)). Let -2/3 + l*m + 2/3*m**2 = 0. What is m?
-1, 1
Let s = -26 - -28. Suppose -i - 617 - i**s + 617 = 0. What is i?
-1, 0
Let t(b) be the third derivative of b**7/1050 - b**5/150 - 3*b**3/2 - 8*b**2. Let w(o) be the first derivative of t(o). Factor w(h).
4*h*(h - 1)*(h + 1)/5
Let u = 1173 - 1173. Let t(j) be the third derivative of -10*j**2 + 1/80*j**5 + u*j**3 + 0*j + 0 + 1/16*j**4. Factor t(k).
3*k*(k + 2)/4
Let w be (4/98)/((-5)/(-70)) + 34/(-84). Suppose 1/2*j**3 - w*j**5 - 1/3*j - 1/6*j**2 + 0 + 1/6*j**4 = 0. What is j?
-1, 0, 1, 2
Factor -15/2*v**4 - 48*v**3 - 24 - 96*v - 108*v**2.
-3*(v + 2)**3*(5*v + 2)/2
Let c(m) = 5*m**3 + 8*m**2 + 6*m. Let f(i) = 6*i**3 + 9*i**2 + 7*i. Let n(b) = 4*c(b) - 3*f(b). Factor n(o).
o*(o + 1)*(2*o + 3)
Let o(a) = -5*a**3 + 2*a**2 - 5*a - 4. Let k(y) = -y**2 + 5. Let r be k(3). Let x(p) = 4*p**3 - p**2 + 4*p + 3. Let f(g) = r*x(g) - 3*o(g). Factor f(i).
-i*(i + 1)**2
Suppose -38 = -15*t + 7. Factor -t*h + 2*h**4 + h + 2*h - 2*h**2.
2*h**2*(h - 1)*(h + 1)
Suppose -2*p**3 + 3*p**3 + 20*p**2 - p**3 + 16*p + 4*p**3 = 0. What is p?
-4, -1, 0
Let k be -4 + (-3110)/(-525) + (-2)/5. Let g(q) be the first derivative of 12/35*q**5 - 1/21*q**6 - q**4 + 4/7*q - 5 - 9/7*q**2 + k*q**3. Factor g(w).
-2*(w - 2)*(w - 1)**4/7
Suppose -5*q + 0 + 5/2*q**3 + 5/2*q**2 = 0. What is q?
-2, 0, 1
Suppose 4/7 + 8/7*l**3 - 4/7*l**5 + 4/7*l**4 - 8/7*l**2 - 4/7*l = 0. Calculate l.
-1, 1
Let q be 384/40 - (-4)/10. Suppose -5*j + 4*r - 12 = -q*j, -4 = -2*j - 2*r. Factor 20*x**2 + 4*x**3 + 3*x**4 - 7*x**4 + 0*x**j + 12*x.
-4*x*(x - 3)*(x + 1)**2
Let p be -3 + 12 + (-170)/20. Suppose -1/4*b**2 - 1/4 + p*b = 0. What is b?
1
Let q(s) be the third derivative of -s**5/360 + s**4/12 + 79*s**2 - s. Factor q(w).
-w*(w - 12)/6
Let z be 0/1 + -9*4/(-12). Factor -i**2 - i**5 + 0*i**4 + 3*i + 1 + 3*i**2 - 3*i**4 - 5*i**3 + z*i**3.
-(i - 1)*(i + 1)**4
Let f(w) be the first derivative of -2*w**5/55 + 3*w**4/11 - 6*w**3/11 + 4*w**2/11 + 61. Factor f(b).
-2*b*(b - 4)*(b - 1)**2/11
Let i(c) = c**2 - 9*c + 23. Let t be i(8). Solve -29*k**3 + 15*k**3 + k**2 + t*k**3 = 0 for k.
-1, 0
Suppose 2*u + 10 = u. Let z be (4 + u - 0)/(-2). Factor 6*a**2 - 3 - 3*a**4 - 4*a**3 + 6*a**z - 2*a**3.
-3*(a - 1)**2*(a + 1)**2
Let k(j) be the second derivative of -j**8/40320 + j**7/5040 + j**4/4 + 5*j. Let u(f) be the third derivative of k(f). Find l, given that u(l) = 0.
0, 3
Let w(a) be the third derivative of -50/9*a**3 - 5/18*a**4 + 0*a - 1/180*a**5 + 13*a**2 + 0. Determine q so that w(q) = 0.
-10
Determine b, given that 27 + 2*b**2 - 5*b**2 + 8 + 12*b + 31 - 30 = 0.
-2, 6
Let o be (-12 - 2108/(-153))*6/20. Find p such that -4/15*p**2 + 2/15*p**5 + 8/15*p**4 - 4/15 + o*p**3 - 2/3*p = 0.
-2, -1, 1
Let r = 5 - 6. Let k be (4/3 + r)*(-63)/(-35). Suppose 3/5 - 3/5*y**2 - 3/5*y + k*y**3 = 0. What is y?
-1, 1
Let d(i) be the first derivative of 2/7*i**2 + 2/63*i**3 + 6/7*i + 45. Factor d(c).
2*(c + 3)**2/21
Suppose 12*j - 17*j + 15 = 0. Factor -4 - 4*l**j + 3*l**2 + 7*l**3 - 7*l**3 + l**2 + 4*l.
-4*(l - 1)**2*(l + 1)
Suppose -16*l + 336 = 5*l. Suppose 16 = 4*v + l. Find y, given that 8/9*y**2 + v*y + 0 + 2/9*y**4 + 32/9*y**3 - 14/3*y**5 = 0.
-2/3, -2/7, 0, 1
Let s(z) = -10*z + 33. Let c be s(3). Let n(h) = 2*h - 4. Let w be n(3). Factor -c*u**5 - w*u**5 + 6*u**5.
u**5
Let p(b) = 6*b**2 - 10*b + 1. Let u be p(7). Factor -225 + 4*i**2 + 12*i + u.
4*i*(i + 3)
Let f = -15091 - -15094. Factor 10 + 2/5*x**f + 6*x - 18/5*x**2.
2*(x - 5)**2*(x + 1)/5
Let a(u) = 22*u + 17. Let r be a(-3). Let n = r + 151/3. Suppose -n*x - 3*x**3 + 4*x**2 + 0 = 0. What is x?
0, 2/3
Let v(w) be the third derivative of w**8/112 - 323*w**7/105 + 46223*w**6/120 - 90702*w**5/5 - 31752*w**4 + 62208*w**3 - 50*w**2. Let v(n) = 0. Calculate n.
-1, 1/3, 72
Let h(z) be the third derivative of -z**6/40 + 37*z**5/20 - 323*z**4/8 - 361*z**3/2 - 16*z**2 + 3*z. Let h(x) = 0. What is x?
-1, 19
Let s(q) be the first derivative of q**3/12 - q**2/8 - 3*q + 255. Determine t, given that s(t) = 0.
-3, 4
Let m(v) be the first derivative of 14 - 1/2*v**2 + 0*v + 1/3*v**3. Let m(s) = 0. What is s?
0, 1
Factor -27*v + 5 - 13*v**3 + 10*v**3 + 6 + 1 + 6*v**2 + 12*v**2.
-3*(v - 4)*(v - 1)**2
What is l in 1/5*l**3 + 6/5 + 11/5*l + 6/5*l**2 = 0?
-3, -2, -1
Let w(y) be the second derivative of 5*y**4/48 + 35*y**3/12 + 65*y**2/8 - 33*y. Factor w(s).
5*(s + 1)*(s + 13)/4
Let o(z) be the second derivative of -7*z + 5/3*z**3 + 0*z**2 + 5/4*z**4 + 0. Suppose o(v) = 0. What is v?
-2/3, 0
Solve 65/4*i**4 + 5 + 115/4*i**3 - 265/4*i**2 + 25*i - 35/4*i**5 = 0.
-2, -1/7, 1, 2
Factor -84*d**3 - 64*d**2 + 19 - 114*d - d**4 - 82 + 70*d**3 + 0*d**4.
-(d + 1)*(d + 3)**2*(d + 7)
Let h(w) be the first derivative of 4*w**3/3 + 50*w**2 - 104*w - 291. Factor h(u).
4*(u - 1)*(u + 26)
Let p(f) = 2*f**2 - 6*f + 42. Let r(m) = 2*m + 2. Let q(b) = -b - 1. Let k(a) = 7*q(a) + 3*r(a). Let w(n) = -20*k(n) - 2*p(n). Factor w(z).
-4*(z - 4)**2
Suppose 2*h - 345 = -339. Let m(d) be the third derivative of -1/6*d**h + 0 + 3*d**2 - 1/180*d**5 + 1/18*d**4 + 0*d. Factor m(q).
-(q - 3)*(q - 1)/3
Let s(m) be the third derivative of -m**5/240 - 7*m**4/96 - m**3/2 + 2*m**2 + 73*m. Find z, given that s(z) = 0.
-4, -3
Suppose 0 = -6*y - 35*y + 123. Factor 0 + 6/5*v**y + 0*v + 2/5*v**5 + 6/5*v**4 + 2/5*v**2.
2*v**2*(v + 1)**3/5
Suppose 61*i - 65*i + 20 = 0. Let r(o) be the first derivative of 0*o**2 + 1/9*o**3 - 1/3*o + i. Factor r(b).
(b - 1)*(b + 1)/3
Factor -48/11 - 40/11*q**4 - 180/11*q**3 + 2/11*q**5 - 190/11*q - 280/11*q**2.
2*(q - 24)*(q + 1)**4/11
Determine a, given that 0 - 3*a**4 + 24/5*a**3 - 12/5*a**2 + 3/5*a**5 + 0*a = 0.
0, 1, 2
Let b(u) be the third derivative of u**8/84 + 2*u**7/35 - u**6/10 - 7*u**5/15 + u**4 - 6*u**2 + 8*u. Solve b(d) = 0.
-3, -2, 0, 1
Let b be (20/(-15))/(16/(-84)). Let u(l) be the second derivative of 8*l**2 + 4/3*l**3 + 5*l - 1/28*l**b - 2*l**4 - 11/30*l**6 + 0 - 7/5*l**5. Factor u(d).
-(d + 2)**4*(3*d - 2)/2
Let h be 2/5 + 184/40. Suppose -4*r**5 + 7*r**2 - 6*r**4 + 9*r**3 - r**5 + 5*r**2 - 12*r + 2*r**h = 0. Calculate r.
-2, 0, 1
Let x(c) be the second derivative of c**5/60 + c**4/6 + 4*c**3/9 + 72*c. Let x(i) = 0. Calculate i.
-4, -2, 0
Let o = 1207 + -1202. Let z(r) be the first derivative of 3/14*r**2 + o - 1/21*r**3 - 2/7*r. Let z(s) = 0. Calculate s.
1, 2
Let d(l) = -l**3 - 5*l**2 - 3*l - 10. Let x be d(-4). Let i be (x/(-49))/((-4)/(-7)). Suppose 0*h**3 - i*h**5 - h**2 + 0 + 1/2*h + h**4 = 0. Calculate h.
-1, 0, 1
Let r be -33 + (-218560)/(-6600) + (-2)/(-30). Factor 0*n + r*n**3 - 4/11*n**4 + 0 + 2/11*n**5 + 0*n**2.
2*n**3*(n - 1)**2/11
Let k(o) = -7*o**2 - 33*o - 32. Let z(a) = -a**3 + 9*a**2 + 12*a - 15. Let y be z(10). Let w(c) = -15*c**2 - 65*c - 65. Let g(s) = y*k(s) - 2*w(s). Factor g(u).
-5*(u + 1)*(u + 6)
Let m(t) be the first derivative of -t**3 - 5*t - 1/4*t**4 - 5 + 9/2*t**2. Solve m(r) = 0.
-5, 1
Let q = 14/375 - -1097/750. Determine l, given that -3/2*l - 3*l**2 - 3/2*l**5 + 3*l**3 + q*l**4 + 3/2 = 0.
-1, 1
Let y = 2120 + -2118. Let 6/5*x - 2/5*x**3 + 0*x**y + 4/5 = 0. What is x?
-1, 2
Let u(o) be the third derivative of -o**6/1440 - o**5/80 + 3*o**3/2 - 1021*o**2. Let u(y) = 0. Calculate y.
-6, 3
Let w be 16*2/20 + 118/295. Suppose 0 - 4/15*d**w + 2/15*d + 2/15*d**3 = 0. What is d?
0, 1
Let y(b) = -b**3 - b**2 - b. Let c(f) = -20*f**2 + 28*f - 14. Let d(q) = -2*c(q) + 4*y(q). Factor d(v).
-4*(v - 7)*(v - 1)**2
Let a be 5 + (3 - (8 + -2)). Solve 0 - f + 1/4*f**a = 0 for f.
0, 4
Suppose -4*j - 2 = -10. Let x = -2096 - -10486/5. Factor -2/5*k**j + x*k - 4/5.
-2*(k - 2)*(k - 1)/5
Let i(b) be the second derivative of -2*b**7/