i - 1)**2*(5*i - 2)
Factor 0 - 5/6*m**3 + 5/6*m**4 + 0*m - 5*m**2.
5*m**2*(m - 3)*(m + 2)/6
Let z(p) be the third derivative of -p**8/840 + 19*p**7/525 - 21*p**6/50 + 54*p**5/25 - 18*p**4/5 + 2*p**2 + 11. What is a in z(a) = 0?
0, 1, 6
Factor 2*u**2 - 13*u**2 - 3*u**2 + 89*u - 97*u.
-2*u*(7*u + 4)
Factor 378*x + 58*x - x**2 + 368*x - 80802 - x**2.
-2*(x - 201)**2
Let x = 21754 - 6852479/315. Let h = 2/45 + x. Factor 1/7*z**3 + 2/7 - h*z - 2/7*z**2.
(z - 2)*(z - 1)*(z + 1)/7
Suppose o - 2*x = 14, -4*o = -0*x - x - 21. Determine f so that 0*f + 2/3*f**2 + 0 - 2/3*f**o - 1/3*f**5 + 1/3*f**3 = 0.
-2, -1, 0, 1
Factor 2/7*k**2 + 18/7*k - 44/7.
2*(k - 2)*(k + 11)/7
Let s(d) be the second derivative of -d**8/36960 - d**7/27720 + d**6/7920 - d**4/6 - 7*d**3/2 - 2*d - 11. Let k(w) be the third derivative of s(w). Factor k(g).
-g*(g + 1)*(2*g - 1)/11
Factor -80*j**3 + 76*j**3 + 637*j**2 - 77284*j + 605*j**2 - 130*j**2.
-4*j*(j - 139)**2
Let h(b) = -2*b**2 - 4*b + 2. Let p(d) = d. Suppose 5*c = -15, -2*c = 3*r + 2 + 1. Let u be (2/1 + 0)*2. Let g(l) = r*h(l) + u*p(l). Factor g(t).
-2*(t - 1)*(t + 1)
Let f(k) be the first derivative of 2*k**5/65 - 3*k**4/26 - 4*k**3/39 + 12*k**2/13 - 16*k/13 + 81. Determine l so that f(l) = 0.
-2, 1, 2
Let r(s) be the second derivative of 0 - 1/12*s**4 - 1/6*s**3 - 5/2*s**2 - 2*s - 1/60*s**5. Let d(a) be the first derivative of r(a). What is j in d(j) = 0?
-1
What is u in 18*u**3 + 324/7*u + 393/7*u**2 + 12 - 27/7*u**4 = 0?
-1, -2/3, 7
Suppose n + 0*n - 6 = 0. Suppose f - n = -f. Determine c, given that 12*c**3 + 3*c + 5*c - 2*c**f + 24*c**2 = 0.
-2, -2/5, 0
Let o(v) be the third derivative of 0*v**3 - 1/10*v**5 - 1/120*v**6 - 5/24*v**4 + 41*v**2 + 0*v + 0. Find x, given that o(x) = 0.
-5, -1, 0
Suppose -9 = n - 3*m, -83*m - 12 = 2*n - 87*m. Factor -1/2*w**2 - 1/2*w**4 - w**3 + 0*w + n.
-w**2*(w + 1)**2/2
Let d(f) = 2*f**3 + 18*f**2 + 15*f + 5. Let i(h) = -2*h**3 - 16*h**2 - 16*h - 6. Let u(q) = -2*d(q) - 3*i(q). Factor u(s).
2*(s + 1)**2*(s + 4)
Let b(w) be the first derivative of w**3/9 + 214*w**2/3 + 45796*w/3 - 113. Solve b(c) = 0 for c.
-214
Let f = -13 - -23. Suppose f*s - 50 = 5*s. Let -12 + 28*q - 30*q**2 - q**3 + s*q**2 + 5*q**3 = 0. What is q?
1, 3
Let a(y) = -12*y**4 - 27*y**3 + 24*y**2 + 21*y - 12. Let v(k) = -11*k**4 - 28*k**3 + 23*k**2 + 20*k - 12. Let f(j) = -4*a(j) + 3*v(j). Let f(c) = 0. What is c?
-2, -1, 2/5, 1
Let s(o) be the first derivative of -2*o**3/15 + 26*o**2/5 + 72. Factor s(k).
-2*k*(k - 26)/5
Let r = 41/243 - 1/486. Let a(i) be the second derivative of -4*i + 1/60*i**6 + 0 - r*i**4 - 1/20*i**5 + 3/4*i**2 + 1/6*i**3. Determine n, given that a(n) = 0.
-1, 1, 3
Let q be (-16)/(-9) + (-96)/(-432). Suppose q = -20*y + 2. Solve y*d - 2/5*d**4 - 4/5*d**3 + 0 - 2/5*d**2 = 0.
-1, 0
Suppose 5*f + 4*g - 60 = 0, 0 = f + f + 4*g - 24. Let v(w) = -w**2 - 5. Let z(s) = 2*s**2 + 12. Let i(j) = f*v(j) + 5*z(j). Factor i(d).
-2*d**2
Factor -2531*k**2 + 15*k - 6*k**3 - 9*k + 2529*k**2 + 2*k**4.
2*k*(k - 3)*(k - 1)*(k + 1)
Let p(o) be the third derivative of -o**7/945 - o**6/27 + 43*o**5/270 - 11*o**4/54 - 225*o**2. Factor p(m).
-2*m*(m - 1)**2*(m + 22)/9
Let k(l) be the third derivative of l**6/840 - 13*l**5/420 + 47*l**4/168 - 5*l**3/6 + l**2 - 164. What is n in k(n) = 0?
1, 5, 7
Let m(x) = 23*x**2 + 6*x - 13. Let h(s) = -2*s + 29. Let l be h(8). Let q(b) = 11*b**2 + 2*b - 6. Let c(w) = l*q(w) - 6*m(w). Factor c(j).
5*j*(j - 2)
Let y(z) be the third derivative of -z**6/120 + 7*z**5/60 + 3*z**4/8 - 5*z**3/6 - 4*z**2. Let k be y(8). Factor 2 + 0*p**2 - 6 + k + p**2.
(p - 1)*(p + 1)
Let w be (2/(-30))/(24/(-144)). Determine z so that -2/5*z + w*z**5 + 4/5*z**2 + 0 + 0*z**3 - 4/5*z**4 = 0.
-1, 0, 1
Let q(m) = -4*m**2 - 742*m - 68468. Let l(h) = h**2 + h + 9. Let f(d) = -2*l(d) - q(d). Factor f(z).
2*(z + 185)**2
Let x(k) be the second derivative of 25*k**6/6 - 5*k**5 - 20*k**4 - 56*k**3/3 - 8*k**2 - 3*k + 2. Let x(r) = 0. What is r?
-2/5, 2
Let v = -4/1151 - -2338/10359. Factor -4/9 - v*q**3 - 10/9*q - 8/9*q**2.
-2*(q + 1)**2*(q + 2)/9
Let s(f) be the first derivative of -f**4/2 + 16*f**3/15 + 19*f**2/5 + 12*f/5 - 24. Let s(v) = 0. Calculate v.
-1, -2/5, 3
Suppose 6*z - 45 = 27. Let s be z*2*(-3)/(-84). Factor -8/7 + s*q**2 + 8/7*q.
2*(q + 2)*(3*q - 2)/7
Let r(l) be the second derivative of l**6/15 + 11*l**5/10 + 3*l**4/2 - 11*l**3/3 - 10*l**2 + 391*l. Let r(q) = 0. Calculate q.
-10, -1, 1
Let f(p) be the first derivative of p**6/33 - 6*p**5/55 + p**4/11 + 332. Suppose f(t) = 0. Calculate t.
0, 1, 2
Factor 0 - 4/7*r**4 + 0*r**3 + 4/7*r**2 + 2/7*r**5 - 2/7*r.
2*r*(r - 1)**3*(r + 1)/7
Let f(x) be the first derivative of 2*x**5/95 + x**4/38 - 32*x**3/57 + 20*x**2/19 - 175. Factor f(a).
2*a*(a - 2)**2*(a + 5)/19
Let t(g) be the first derivative of 32/3*g - 1/6*g**4 - 8*g**2 - 20 + 2*g**3. Determine j, given that t(j) = 0.
1, 4
Suppose 3*a - 6 = 0, -70*l + 16 = -65*l - 2*a. Suppose 1/6*t**2 + 0*t**3 + 0*t + 0 - 1/6*t**l = 0. Calculate t.
-1, 0, 1
Let j(b) = -b**3 + 16*b**2 - 8*b - 5. Let i be j(15). Let a be (-1 - -4) + i/(-36). Factor -a - 2/9*y**2 + 4/9*y.
-2*(y - 1)**2/9
Let s be 8/60*-1101*(-1)/2. Let d = -71 + s. Factor -d*x**2 - 3*x - 6/5 - 3/5*x**3.
-3*(x + 1)**2*(x + 2)/5
Let a be (-6474)/(-702) + -9*1. Factor 2/9*n**4 + 0 - 4/9*n**2 + 0*n + a*n**3.
2*n**2*(n - 1)*(n + 2)/9
Let p(t) be the second derivative of -t**6/75 + 3*t**5/50 + 7*t**4/30 - 9*t**3/5 + 18*t**2/5 + 253*t. Let p(l) = 0. What is l?
-3, 1, 2, 3
Suppose 6*u - 4*u = -2. Let r(o) = -o**3 - 1. Let d(k) = -95*k**3 - 40*k**2 + 75*k + 30. Let j(x) = u*d(x) + 15*r(x). Factor j(w).
5*(w - 1)*(4*w + 3)**2
Let p(o) be the second derivative of -o**4/60 + 31*o**3/30 + 3*o + 31. Factor p(i).
-i*(i - 31)/5
Suppose 3*k = -2*k - 40. Let j = k + 10. Let 3*r - r**2 - 2*r**j + 2*r**2 + 0*r**2 = 0. Calculate r.
0, 3
Let t(m) be the second derivative of 1/18*m**4 + 1/18*m**3 + 1/126*m**7 - 9*m - 1/90*m**6 - 1/30*m**5 + 0 - 1/6*m**2. Determine o so that t(o) = 0.
-1, 1
Let i(t) be the third derivative of -t**8/336 - t**7/42 - t**6/24 + t**5/12 + t**4/4 + 36*t**2. Solve i(q) = 0 for q.
-3, -2, -1, 0, 1
Suppose -b - 17*b = 44*b. What is g in b - 2/3*g**3 - 8/3*g**4 + 8/3*g**2 + 2/3*g**5 + 0*g = 0?
-1, 0, 1, 4
Let d be 1 + 3 + (-63)/18. Let b(h) be the first derivative of -8 - 1/9*h**6 + 0*h + 2/5*h**5 + 0*h**2 - d*h**4 + 2/9*h**3. Find c, given that b(c) = 0.
0, 1
Let o(n) be the second derivative of n**9/7560 + n**8/3360 - n**7/252 + n**6/120 - n**4/12 + 2*n. Let x(m) be the third derivative of o(m). Factor x(i).
2*i*(i - 1)**2*(i + 3)
Let v be (-735)/(-28) + (-11)/(-4) + -3. Let f be (v/65)/(1/2) + 0. Factor -64/5 + 32/5*h - f*h**2.
-4*(h - 4)**2/5
Let t(k) be the second derivative of -2*k**6/15 - 12*k**5/5 - 52*k**4/3 - 64*k**3 - 128*k**2 - 103*k. Factor t(o).
-4*(o + 2)**2*(o + 4)**2
Factor -252*n - 18670*n**3 - 128*n**2 + 18649*n**3 + 15*n**2 - 60 - 40*n**2.
-3*(n + 2)*(n + 5)*(7*n + 2)
Let f(q) be the first derivative of -3*q**6 + 1248*q**5/5 - 5612*q**4 + 28288*q**3/3 - 4624*q**2 - 591. Factor f(n).
-2*n*(n - 34)**2*(3*n - 2)**2
Let w be 2/(240/69) + 93/(-248). Suppose w - 1/5*c**2 + 0*c = 0. What is c?
-1, 1
Let m(k) be the first derivative of 135*k**5/8 + 165*k**4/8 - 14*k**3 + 3*k**2 + 14*k + 28. Let f(b) be the first derivative of m(b). Factor f(r).
3*(r + 1)*(15*r - 2)**2/2
Let t be (-1)/2*4/(-6)*9. Let q(w) be the second derivative of 0 + 4*w - 3/5*w**2 + 4/15*w**t - 1/30*w**4. Suppose q(a) = 0. Calculate a.
1, 3
Suppose -1549 = -8*h + 747. Let d = 287 - h. Factor -2/5*s**5 + 1/5*s**3 + 1/5*s**4 + 0 + d*s**2 + 0*s.
-s**3*(s - 1)*(2*s + 1)/5
Let s(l) be the first derivative of 3/4*l**3 + 1/20*l**5 - 5/16*l**4 - 7/8*l**2 + 1/2*l + 8. Factor s(u).
(u - 2)*(u - 1)**3/4
Let s(x) be the second derivative of 1/168*x**7 + 7/120*x**6 + 13/48*x**4 + 3/16*x**5 + 1/6*x**3 + 3*x + 0*x**2 - 4. Determine u, given that s(u) = 0.
-4, -1, 0
Let n(z) be the second derivative of -z**7/5040 + z**6/480 + z**5/60 + 41*z**4/12 + 25*z. Let u(h) be the third derivative of n(h). Solve u(w) = 0 for w.
-1, 4
Let r(q) be the first derivative of 26 + 297/2*q**2 + 3/4*q**4 - 19*q**3 - 243*q. Solve r(h) = 0.
1, 9
Let h(a) = a**5 - 10*a**4 + 7*a**3 - a**2 - 11*a + 11. Let k(y) = 3*y**5 