 + 7220*t**3 - 12*t**2 + 12. Let u(b) = -3*b**5 - 299*b**4 - 2888*b**3 + 5*b**2 - 5. Let q(j) = 5*f(j) + 12*u(j). Factor q(s).
4*s**3*(s + 19)**2
Factor -6/5*k**3 - 2/5*k**2 + 2/3*k - 8/15*k**4 + 2/5.
-2*(k + 1)**3*(4*k - 3)/15
Let q(o) be the third derivative of -o**6/40 + 3*o**5/5 - 35*o**4/8 + 17*o**2 - o. Factor q(p).
-3*p*(p - 7)*(p - 5)
Let y(i) be the third derivative of i**6/1800 + i**5/150 + i**4/40 + 5*i**3/3 + 12*i**2. Let a(c) be the first derivative of y(c). Factor a(w).
(w + 1)*(w + 3)/5
Let j = -4 + 6. Suppose 4 - c**j + 4 - 7 + 0*c**2 = 0. Calculate c.
-1, 1
Let v be (-2 + 0)*(-15)/2. Suppose 0 = 3*q + 5*y - 1 - v, 2*y - 28 = -3*q. Factor -3*f + 1 - 1 - 3*f**2 + q*f.
-3*f*(f - 3)
Let u(k) be the second derivative of -k**4/9 + 64*k**3/9 + 22*k**2 + 7*k + 3. Let u(r) = 0. Calculate r.
-1, 33
Let u(n) be the third derivative of 5*n**8/336 - n**7/7 - n**6/24 + n**5/2 + 9*n**2 + 3*n. Factor u(y).
5*y**2*(y - 6)*(y - 1)*(y + 1)
Let n(w) be the third derivative of w**7/630 + w**6/360 - w**5/90 - 2*w**2 - 37*w. Factor n(k).
k**2*(k - 1)*(k + 2)/3
Let c(r) be the second derivative of 1/4*r**4 - 5*r - 1/30*r**6 + 1/3*r**3 + 0*r**5 + 0*r**2 + 0. Determine z so that c(z) = 0.
-1, 0, 2
Let m(l) be the second derivative of 0*l**2 + 29*l + 0 + 0*l**5 + 5/4*l**4 + 5/3*l**3 - 1/6*l**6. Factor m(q).
-5*q*(q - 2)*(q + 1)**2
Let t = 11 - 9. Let f(r) be the first derivative of -r**4 + 2 + 2 + 1 - r**3 + t*r**2 - r**3. Factor f(d).
-2*d*(d + 2)*(2*d - 1)
Let -27*b**4 - 237*b + 81*b**2 + 11767 - 11821 + 276*b**3 - 39*b**3 = 0. Calculate b.
-1, -2/9, 1, 9
Suppose 5*k = -2*a + 6, -2*a = -3*k + 2*k + 6. Factor -5*b**3 - 27*b + 0 + 22*b + 10*b**k + 0.
-5*b*(b - 1)**2
Let p(x) = x**3 + 8*x**2 + 7*x + 2. Let b(s) = -s**3 + s - 1. Let t(n) = 10*b(n) + 5*p(n). Let t(r) = 0. Calculate r.
-1, 0, 9
Let w be ((-2372)/10)/((45/25)/1). Let c = 132 + w. Suppose 4/9 - 4/9*l**2 - 2/9*l + c*l**3 = 0. Calculate l.
-1, 1, 2
Determine p, given that -146/19*p - 4*p**2 - 2/19*p**3 - 72/19 = 0.
-36, -1
Let x(y) be the third derivative of -5*y**8/252 - 11*y**7/126 + 7*y**6/72 + 11*y**5/36 - 5*y**4/24 + 5*y**2 + 5*y. Suppose x(r) = 0. What is r?
-3, -1, 0, 1/4, 1
Let v be (12/(-15))/((-12)/20). Factor -8/3*k**3 - v*k**4 + 4/3 + 0*k**2 + 8/3*k.
-4*(k - 1)*(k + 1)**3/3
Let m(c) = c**2 - 17*c + 30. Let q be 3*10/(0 + 2). Let f be m(q). Suppose 0*h + 0*h**2 + f - 3/7*h**3 = 0. Calculate h.
0
Let u be 6*-2*(-2)/8. Suppose 22104*x = 22137*x. Factor -2/11*i**4 - 18/11*i**2 - 12/11*i**u + 0*i + x.
-2*i**2*(i + 3)**2/11
Let c(h) = -55*h**3 + 31*h**2 + 59*h + 3. Let q(b) = -102*b**2 + 118*b**2 - 34*b**3 + 4*b + 2 + 26*b + 7*b**3. Let u(r) = 6*c(r) - 13*q(r). Factor u(m).
(m - 2)*(3*m + 2)*(7*m + 2)
Suppose -4*g + 13*g**3 - 17*g**3 - 3*g + 2*g**4 - g - 14*g**2 = 0. What is g?
-1, 0, 4
Let w be (-14)/4*90/(-525). Suppose 0 - w*l**3 + 0*l**2 + 3/5*l = 0. Calculate l.
-1, 0, 1
Let j(c) = 28*c**3 - 200*c**2 - 44*c + 12. Let n(a) = -a**2 + a + 1. Suppose 4*g - 24 = 6*g. Let s(i) = g*n(i) + j(i). Factor s(o).
4*o*(o - 7)*(7*o + 2)
Let z(h) be the third derivative of h**7/280 - h**6/120 - 7*h**5/240 + h**4/24 + h**3/6 + 98*h**2. Find w such that z(w) = 0.
-1, -2/3, 1, 2
Let q(x) be the second derivative of -x**4/30 - 4*x**3/5 - 36*x**2/5 - 22*x - 3. Factor q(r).
-2*(r + 6)**2/5
Let o be (6/(-5))/((-8)/12*(-1197)/(-380)). What is x in -o*x**4 - 48/7*x**3 + 0 - 20/7*x**2 + 8/7*x + 16/7*x**5 = 0?
-1, 0, 1/4, 2
Suppose 4 = 5*k - 4*t, -3*k - 3*t - 4 = -28. Let z be (3 - k) + -3 + (-156)/(-30). Factor 9/5*o**3 + 3/5*o**4 + 0*o + 0 + z*o**2.
3*o**2*(o + 1)*(o + 2)/5
Let o(j) = 65*j**3 + 935*j**2 + 1780*j + 840. Let n(v) = -11*v**3 - 156*v**2 - 297*v - 140. Let f(u) = 35*n(u) + 6*o(u). Factor f(t).
5*(t + 1)**2*(t + 28)
Let l = 500 + -500. Let u(r) be the first derivative of 0*r + l*r**3 + 0*r**2 + 7/24*r**6 + 1/8*r**4 + 9/20*r**5 + 2. Factor u(x).
x**3*(x + 1)*(7*x + 2)/4
Let q be -3 - ((72 - -2) + 1). Let x be 4/10 + q/(-30). Factor -6*d**2 - 5*d**4 + 13*d**4 - x*d**2 + d**2 + 4*d**5 - 4*d.
4*d*(d - 1)*(d + 1)**3
Let h(f) be the first derivative of -3/14*f**4 + 0*f**2 + 0*f**5 + 4/21*f**3 - 27 + 0*f + 1/21*f**6. Factor h(b).
2*b**2*(b - 1)**2*(b + 2)/7
Let a(v) = -2*v**2 + 6. Let q be a(-2). Let g(w) = -w**2 + 1. Let c(s) = 2*s**3 + 5*s**2 + 8*s + 3. Let t(f) = q*c(f) + 6*g(f). What is b in t(b) = 0?
-2, 0
Suppose -5*w = -4*f + 31, -5*f = -4*w - 12 - 20. Let u(d) be the third derivative of -2*d**2 - 2*d**3 + 0 - 1/15*d**5 + 0*d + 2/3*d**f. Let u(h) = 0. What is h?
1, 3
Suppose -s + 8*s = 105. Solve -5*x**2 + 5*x - 3*x**3 - s*x + 5*x**4 + 13*x**3 = 0.
-2, -1, 0, 1
Suppose 6*t + 12 = 3*t, -i - 9 = 3*t. Solve -2*s**4 + 2*s - 12*s - s + 6*s**i + 3*s = 0.
-1, 0, 2
Let t(r) = 4*r**2 + r + 5. Let u be t(-2). Factor -4*y**2 + 6*y**2 + 19 - u.
2*y**2
Let z(o) = 1596*o**3 - 983*o**2 - 587*o - 59. Let i(q) = 532*q**3 - 328*q**2 - 196*q - 20. Let g(n) = -11*i(n) + 4*z(n). Let g(p) = 0. What is p?
-2/7, -2/19, 1
Let u(w) be the first derivative of w**6/1620 - w**5/540 - w**4/54 - 7*w**3/3 + 6. Let s(p) be the third derivative of u(p). Factor s(k).
2*(k - 2)*(k + 1)/9
Let k(m) = -3*m**2 - 19*m - 3. Let x be k(-6). Suppose x*p - 2*n + 6*n = -11, 5*n + 40 = 5*p. Factor 0*t + 0*t**2 + 0 - 3/2*t**p.
-3*t**3/2
Suppose 286/5*m**2 - 92/5*m - 121/5*m**3 + 8/5 = 0. What is m?
2/11, 2
Let a = 3/646 - -233/19380. Let x(h) be the third derivative of 0*h**3 + 0*h + 0 + 2*h**2 + 1/600*h**6 + a*h**4 - 1/100*h**5. Factor x(v).
v*(v - 2)*(v - 1)/5
Find x such that 22*x**2 + 1 - 7 - 6*x**3 + 116*x - 126*x = 0.
-1/3, 1, 3
Let p(v) be the second derivative of v + 13/18*v**3 + 28/15*v**5 - 1/6*v**2 - 5/3*v**4 + 0 - 32/45*v**6. Solve p(s) = 0 for s.
1/4, 1
Let p = -40/17 + 1009/306. Let g = -5/18 + p. Solve g - 43/3*w**2 + 41/3*w**4 - 5/3*w - 44/3*w**5 + 49/3*w**3 = 0 for w.
-1, -1/4, 2/11, 1
Let w be 6/57 + (-25400)/(-570). Let o = w - 44. Suppose -o*p + 4/3 - 2/3*p**2 = 0. Calculate p.
-2, 1
Factor 54*q - 324/5 + 2/5*q**4 - 54/5*q**2 - 6/5*q**3.
2*(q - 3)**3*(q + 6)/5
Suppose -79*y**2 + 2*y**3 + 187*y**2 - 52*y**2 - 118*y + 60 = 0. Calculate y.
-30, 1
Let b be 128/80 - (-4)/10. Let v(f) be the first derivative of 0*f**3 - 3 + 1/4*f**4 - 1/2*f**b + 0*f. Suppose v(n) = 0. Calculate n.
-1, 0, 1
Suppose 2*l - 9 = 1. Suppose -4*r + 16 = 0, 0 = 4*g - 8*g + 3*r + 16. Factor -l*i - 11*i**3 - 3 + g*i**3 - i**2 + 5*i**3.
(i - 3)*(i + 1)**2
Let x = -17614 + 17616. Factor -3/8*j**x + 3/4 - 3/8*j.
-3*(j - 1)*(j + 2)/8
Let w = -1/54 - -67/702. Let s(c) be the second derivative of -1/13*c**4 - 2/65*c**5 + 0 - w*c**2 - 1/195*c**6 - 4/39*c**3 + 3*c. What is j in s(j) = 0?
-1
Let w = 4966/9931 - 1/19862. Suppose -3/2 + w*x**4 - 2*x**3 + 2*x + x**2 = 0. Calculate x.
-1, 1, 3
Determine w so that -25*w**2 - 16*w + 0*w**3 - 19*w**5 - 14*w**3 - 5*w**3 + 18*w**5 - 4 - 7*w**4 = 0.
-2, -1
Let m = -201 + 203. Let q(k) be the second derivative of -3/40*k**5 + 1/8*k**3 + k + 0*k**4 + 0*k**m + 1/56*k**7 + 0*k**6 + 0. Factor q(c).
3*c*(c - 1)**2*(c + 1)**2/4
Suppose 13*i = 11*i + 8. Solve -13*f**2 - 2 - 5*f**3 + 5*f + 22 - 3*f**2 - i*f**2 = 0.
-4, -1, 1
Let c(b) = b**2 - 1. Let r(v) = -3*v**3 - 20*v**2 + 45*v - 22. Let o(g) = 2*c(g) + r(g). Factor o(m).
-3*(m - 1)**2*(m + 8)
Let r(g) be the third derivative of g**8/24 + 5*g**7/7 + 223*g**6/60 + 7*g**5/2 - 25*g**4/6 - g**2 - g. Find m such that r(m) = 0.
-5, -1, 0, 2/7
Suppose -8*y + 4*y + 16 = 0. Factor -9*n**y - 12*n**3 + 21*n**4 - 9*n**4.
3*n**3*(n - 4)
Let u(m) be the second derivative of -1/4*m**5 + 5/6*m**3 + 5*m**2 - 5/4*m**4 + 0 + 1/6*m**6 + 16*m. Let u(n) = 0. Calculate n.
-1, 1, 2
Let z(r) be the third derivative of -r**5/270 + r**4/18 - 8*r**3/27 - r**2 + 6. Suppose z(s) = 0. Calculate s.
2, 4
Suppose 0 = 4*i - 66 - 58. Let s = i - 19. Let q**3 - 6 + s*q + 1 + 13 + 6*q**2 = 0. Calculate q.
-2
Let r(w) = 2*w**2 - 2*w - 2. Suppose g + 0 = 1, 0 = c + g. Let q be r(c). Factor -4/5*b - 2/5*b**4 + 0*b**q + 2/5 + 4/5*b**3.
-2*(b - 1)**3*(b + 1)/5
Let t(o) = 37*o**2 + 346*o - 4. Let n(z) = 306*z**2 + 2769*z - 33. Let a(c) = -4*n(c) + 33*t(c). What is f in a(f) = 0?
0, 114
Let d = 6361/20 - 318. Let p(z) be the second derivative of d*z**5 + 0*z**2 + 0*z**3 + 0 - 6*z - 1/4*z**4. Find i such that p(i) = 0.
0,