*3 + 18/5*w - 2/15*w**5 + 14/15*w**4.
-2*(w - 3)**3*(w + 1)**2/15
What is c in 1/8*c**2 + 0*c + 0 + 1/8*c**3 = 0?
-1, 0
Let b(m) = -21*m**3 - 711*m**2 + 1413*m - 708. Let l(p) = 5*p**3 + 177*p**2 - 353*p + 177. Let u(k) = 2*b(k) + 9*l(k). Factor u(w).
3*(w - 1)**2*(w + 59)
Factor -8/3*g**4 + 0 - 8/15*g**3 + 0*g**2 - 14/5*g**5 + 0*g.
-2*g**3*(3*g + 2)*(7*g + 2)/15
Factor 0 - 2/3*i**3 + 56/3*i**2 - 392/3*i.
-2*i*(i - 14)**2/3
Let x(l) be the third derivative of l**5/15 + 35*l**4/6 - 148*l**3/3 - l**2 - 29. Factor x(n).
4*(n - 2)*(n + 37)
Let a be (-2)/(8/(-20)) - 0 - 1. Let z be (-1)/a*1 - (-6)/8. Find r such that 3/4*r - z - 1/4*r**2 = 0.
1, 2
Let a(t) be the third derivative of t**5/20 - 19*t**4/8 - 10*t**3 + 108*t**2 - 1. Factor a(v).
3*(v - 20)*(v + 1)
Let w be ((-2052)/(-247) - 16) + 9 + -1. What is r in 2/13*r**3 + 0*r + w*r**2 + 0 - 2/13*r**4 = 0?
-1, 0, 2
Determine d so that 1 + 2/3*d**2 - 13/6*d - 1/6*d**5 + d**3 - 1/3*d**4 = 0.
-3, -2, 1
Let y(b) be the first derivative of -b**4 + 2*b**2 + 4*b + 19 - 4/3*b**3. Determine n, given that y(n) = 0.
-1, 1
Suppose -4*y - 7*x + 3*x = -4, 2*y = 2*x + 10. Let v = 41 + -161/4. Factor -3 + 6*s + v*s**y - 15/4*s**2.
3*(s - 2)**2*(s - 1)/4
Let c(a) be the first derivative of a**3 - 39*a**2/2 - 42*a + 13. Factor c(b).
3*(b - 14)*(b + 1)
Suppose 14*j - 6*j = -2*j. Factor 4/11*p**2 + 0 + 2/11*p**3 + j*p.
2*p**2*(p + 2)/11
Factor -2/3 + 1/3*h**2 + 1/3*h.
(h - 1)*(h + 2)/3
Let q = 175 - 155. Determine x, given that -5*x**2 + 11*x - q + 31*x**4 + 29*x + 5*x**5 - 26*x**4 - 25*x**3 = 0.
-2, 1
Let y(d) be the third derivative of d**4/8 + 8*d**3 - 25*d**2. Let k be y(-15). Let 0 - 1/6*o**2 - 1/6*o**4 - 1/3*o**k + 0*o = 0. Calculate o.
-1, 0
Suppose -4*w + 4*p - 4 = -36, 2*p = -w - 4. Factor 12*g**2 - 2*g - 12*g**w - 7*g**2 + 7*g**2 + 4*g**3 - 6*g + 4*g**5.
4*g*(g - 2)*(g - 1)**2*(g + 1)
Let j(t) be the first derivative of -2*t**6/15 - 8*t**5/25 + 2*t**4/5 + 16*t**3/15 - 2*t**2/5 - 8*t/5 - 68. Determine h so that j(h) = 0.
-2, -1, 1
Let n(v) be the second derivative of -v**7/504 - v**6/48 + v**5/6 + 2*v**4 - v. Let w(r) be the third derivative of n(r). Factor w(x).
-5*(x - 1)*(x + 4)
Suppose -160 + 155 = -z. Let a(w) be the second derivative of 0 + 10*w - 1/30*w**4 + 0*w**2 - 1/50*w**z + 0*w**3. Find h, given that a(h) = 0.
-1, 0
Let j be ((-8)/24)/((-1)/15). Suppose j*z - 2*n + 3*n - 17 = 0, -4*z + 31 = -5*n. Find v, given that -13*v**4 - 2*v**5 + 31*v**4 - 19*v**z + v**2 + 2*v**3 = 0.
-1, -1/2, 0, 1
Factor -24 - 27/2*g**2 + 36*g + 3/2*g**3.
3*(g - 4)**2*(g - 1)/2
Let a(m) = m**3 + 8*m**2 - 10*m - 7. Let t be a(-9). Let w be (1 + (1 - t))/(2 - 1). Factor 1/5*j**3 + w*j**2 + 0*j + 1/5*j**4 + 0.
j**3*(j + 1)/5
Suppose -5*d + 4*d = -12. Let h = -20 - -20. Solve -u**4 - 12*u**3 + h*u**4 + d*u - 3*u**4 + 4*u**2 = 0.
-3, -1, 0, 1
Let c be (24/(-189))/(-8)*6. Let m(q) be the first derivative of 0*q**2 - 5 - c*q**3 + 1/14*q**4 + 0*q. Factor m(l).
2*l**2*(l - 1)/7
Let v(n) be the first derivative of -9/5*n**5 + 4*n + 35/3*n**3 - 12*n**2 + 21 + 3/2*n**4. Factor v(w).
-(w - 2)*(w + 2)*(3*w - 1)**2
Let r(i) be the second derivative of -i**4/132 - 5*i**3/33 - 25*i**2/22 + 2*i + 8. Let r(t) = 0. Calculate t.
-5
Let w(x) be the second derivative of -x**7/63 + x**6/45 + 7*x**5/15 + 13*x**4/9 + 19*x**3/9 + 5*x**2/3 - 221*x - 1. Factor w(y).
-2*(y - 5)*(y + 1)**4/3
Let x(t) = -15*t**4 - 9*t**3 - 66*t**2 - 48*t - 36. Let n(a) = a**4 - a**3 + a**2 - a + 1. Let l(j) = -12*n(j) - x(j). Factor l(o).
3*(o + 1)*(o + 2)**3
Let d be (-10)/(-6)*46/2300. Let u(g) be the second derivative of 0 + 0*g**2 - d*g**5 + 1/126*g**7 + 0*g**4 - 1/90*g**6 + 0*g**3 + 3*g. Factor u(n).
n**3*(n - 2)*(n + 1)/3
Let n = 13 - -5. Suppose -6*p + 0*p + n = 0. Factor -17*c**2 - 3*c - 3*c + 8*c**2 + p*c**4.
3*c*(c - 2)*(c + 1)**2
Suppose 4*d = 5*d - 4. Suppose 0 = d*s - 2*j + 4, -2 = 3*s - 7*s - j. Solve -5/4*b**3 + 3/4*b**5 + 1/4*b**2 - 1/4*b**4 + 1/2*b + s = 0 for b.
-1, -2/3, 0, 1
Let u(i) = -36*i**3 + 12*i**2 + 35*i - 19. Let q(l) = 108*l**3 - 36*l**2 - 104*l + 56. Let j(t) = 3*q(t) + 8*u(t). Solve j(k) = 0 for k.
-1, 2/3
Suppose -3*j + 0 = f - 6, 5*f - 5*j = 70. Let t(z) = -12*z - 3 - 3 + 18 + 9*z**2. Let l(v) = v**2 - v. Let q(b) = f*l(b) - t(b). Suppose q(y) = 0. What is y?
-2, 2
Let r(l) = l**4 - 4*l**3 + 13*l**2 - 3*l + 3. Let o(y) = -2*y**4 + 12*y**3 - 40*y**2 + 8*y - 8. Let u(x) = -3*o(x) - 8*r(x). Factor u(m).
-2*m**2*(m - 2)*(m + 4)
Let m(p) be the third derivative of -1/336*p**8 - 1/70*p**7 + 0 - 1/120*p**6 + 0*p + 1/12*p**4 + 1/20*p**5 - 18*p**2 + 0*p**3. Factor m(b).
-b*(b - 1)*(b + 1)**2*(b + 2)
Let i(q) = -48*q - 336. Let g be i(-7). Let m(d) be the second derivative of 0 - 3/20*d**5 + 1/2*d**3 - 1/10*d**6 + 1/4*d**4 + g*d**2 - d. Factor m(h).
-3*h*(h - 1)*(h + 1)**2
Let w(y) = -6*y**4 - 32*y**3 - 36*y**2 - 6*y - 2. Let g(a) = 30*a**4 + 160*a**3 + 181*a**2 + 29*a + 11. Let k(p) = 4*g(p) + 22*w(p). Factor k(l).
-4*l*(l + 1)*(l + 4)*(3*l + 1)
Let f(u) = 3*u + 13. Let m be f(-6). Let b be m - -2 - 19*(-2)/10. Solve b*w**3 + 0*w**4 - 2/5*w**5 + 0*w**2 + 0 - 2/5*w = 0 for w.
-1, 0, 1
Let g(v) be the third derivative of -v**7/560 + 3*v**5/80 - v**4/8 + 9*v**3/2 - 20*v**2. Let t(s) be the first derivative of g(s). Factor t(n).
-3*(n - 1)**2*(n + 2)/2
Find i, given that 0 - 4*i**2 - 4/5*i**4 + 16/5*i**3 + 8/5*i = 0.
0, 1, 2
Let h(w) = 26*w**2 - 364*w + 2250. Let k(r) = -5*r**2 + 72*r - 450. Let z(g) = 3*h(g) + 16*k(g). Determine l so that z(l) = 0.
15
Determine x so that -3/5*x**4 - 6336/5*x - 2874/5*x**2 - 3267/5 + 192/5*x**3 = 0.
-1, 33
Factor 1/3*z + 2/3*z**3 - 1/6*z**4 + 0 - 5/6*z**2.
-z*(z - 2)*(z - 1)**2/6
Let v(f) be the third derivative of f**8/84 + 8*f**7/105 + f**6/30 - 2*f**5/5 - 360*f**2. Factor v(s).
4*s**2*(s - 1)*(s + 2)*(s + 3)
Let h = -8 + 11. Suppose -3 = -h*a + 3. Factor -3*c**4 + 9*c**4 + c**4 - 8*c**4 + a*c + 3*c**2.
-c*(c - 2)*(c + 1)**2
Suppose 2*v - 3*v + 2 = 0. Suppose 16 = 2*p + v*p. Find q, given that -2 + 2*q**4 - 24*q + 4*q**3 + 1 + p*q**4 - 18*q**2 - 7 = 0.
-1, -2/3, 2
Let o(h) be the first derivative of 4/5*h + 7/20*h**4 + h**3 - 44 + 13/10*h**2 + 1/25*h**5. Suppose o(q) = 0. Calculate q.
-4, -1
Let x = 186469 - 40836620/219. Let j = x + -6/73. Suppose -2/3 - j*h**5 + 5/3*h + 4/3*h**4 - 2/3*h**2 - 4/3*h**3 = 0. What is h?
-1, 1, 2
Let t(n) be the first derivative of -21*n**2 + 57/2*n**4 + 288/5*n**5 + 64/3*n**6 + 18*n + 38 - 106/3*n**3. Factor t(s).
2*(s + 1)**3*(8*s - 3)**2
Let b(p) be the second derivative of 5*p**7/36 + 55*p**6/18 - 151*p**5/24 + 85*p**4/36 - 401*p. Suppose b(a) = 0. Calculate a.
-17, 0, 2/7, 1
Let k(w) = -6*w**3 + 3*w + 3. Let c(n) = -n + 1. Let t(v) = v**3 - 3*v + 2. Let d(r) = -3*c(r) + t(r). Let j(b) = -5*d(b) - k(b). Factor j(z).
(z - 1)**2*(z + 2)
Let a(v) be the first derivative of -v**4/4 + v**3 + v**2/2 - 3*v + 72. Determine x so that a(x) = 0.
-1, 1, 3
Let u be ((-2 - -2)*(-4)/(-8))/1. Let l(y) be the third derivative of -1/150*y**5 + 1/60*y**4 + u + 0*y**3 + 0*y - 5*y**2. Suppose l(m) = 0. Calculate m.
0, 1
Let n(f) = -4*f**4 - 2*f**3 + 62*f**2 + 4*f + 2. Let z(u) = -13*u**4 - 3*u**3 + 185*u**2 + 14*u + 7. Let v(q) = -7*n(q) + 2*z(q). Let v(p) = 0. Calculate p.
-8, 0, 4
Let v(w) be the second derivative of 3*w**5/20 + 3*w**4/4 + w**3 - w + 24. Factor v(r).
3*r*(r + 1)*(r + 2)
Let j(o) be the third derivative of -o**6/12 + 14*o**5/5 - 32*o**4 + 256*o**3/3 + 17*o**2 - 4*o. Factor j(q).
-2*(q - 8)**2*(5*q - 4)
Suppose 0 = -3*g + 5*r - 25, r - 5 = 72*g - 73*g. Factor 0*l**2 + 0*l + 0 + g*l**3 + 3/7*l**4.
3*l**4/7
Let j(q) be the third derivative of q**7/21 - 3*q**6/8 + q**5/3 - 297*q**2. Let j(f) = 0. What is f?
0, 1/2, 4
Suppose 41*y - 10 = 36*y. Factor 4 + 5 - 10 + 2*j - 3 + y*j**2.
2*(j - 1)*(j + 2)
Factor -10/7*j + 22/7*j**2 - 2*j**3 + 2/7*j**4 + 0.
2*j*(j - 5)*(j - 1)**2/7
Let p(q) = q**3 + 2*q**2 - 5*q + 3. Let c be p(2). Factor -9*o**2 - 3*o + 16*o**3 - 3 - 6*o**3 + 3*o**4 + c - 7*o**3.
3*(o - 1)**2*(o + 1)*(o + 2)
Let b be -2*(-4)/16*28. Suppose 5*s - b - 21 = 0. Factor 3*i**2 - i + s*i**2 - 17*i**3 - i + 9*i**3.
-2*i*(i - 1)*(4*i - 1)
Factor 1/4*r**4 + 1597/4*r**2 + 861*r - 41/2*r**3 + 441.
(r - 42)**2*(r + 1)**2/4
Factor 40/3*r**2 - 28 + 2/3*r**3 - 46/3*r.
2*(r - 2)*(r + 1)*(r +