
-5/4, -1, 0, 1, 3
Let v(i) be the first derivative of i**4/6 - 302*i**3/9 + 197*i**2 - 294*i + 3979. Factor v(w).
2*(w - 147)*(w - 3)*(w - 1)/3
Factor -5 + 0 + 21 - 886*g**2 - 692*g + 2809*g**3 - 2987*g**3.
-2*(g + 1)*(g + 4)*(89*g - 2)
Let d = -6407 - -160182/25. Let q(u) be the first derivative of 0*u - 1/15*u**3 + 1/4*u**4 + 0*u**2 + 45 + 1/10*u**6 - d*u**5. Find z, given that q(z) = 0.
0, 1/3, 1
Let w(y) be the third derivative of y**8/6720 + y**7/280 - 7*y**6/240 - y**5/10 - 4*y**3/3 + 69*y**2. Let d(z) be the third derivative of w(z). Factor d(a).
3*(a - 1)*(a + 7)
Suppose -3*g + 5 = 2*z + 1, -3*g + 5*z = -32. Suppose n = -g*w + 46, -4*w + 7*w - 2*n = 40. Factor 0*s**2 - 18*s + 81*s**3 - 8 - 83*s**3 - w*s**2.
-2*(s + 1)**2*(s + 4)
Suppose 36587*r - 106 = 36534*r. Find c such that 0 + c**r - c**4 - 1/3*c**3 - 1/3*c + 2/3*c**5 = 0.
-1, 0, 1/2, 1
Suppose 49 = -5*p + 4*k + 184, -2*k = 2*p - 54. Let i be p/2*(-88)/(-1452). Find z, given that -4/11*z**5 + i*z**2 + 26/11*z**3 - 4/11*z + 9/11*z**4 + 0 = 0.
-1, 0, 1/4, 4
Let i(m) be the third derivative of m**6/360 - m**5/30 - 37*m**3/3 - m**2 - 5*m. Let w(v) be the first derivative of i(v). Find s, given that w(s) = 0.
0, 4
Let n = 157/600 - -803/600. Let 4/5*x**2 - n + 4/5*x = 0. Calculate x.
-2, 1
Factor 77139*i**2 - 186*i + 0 - 70*i + 0 - 77140*i**2.
-i*(i + 256)
Let z(h) be the first derivative of h**5/140 - h**4/84 - h**3/21 + 4*h - 26. Let l(w) be the first derivative of z(w). Factor l(s).
s*(s - 2)*(s + 1)/7
Let l(s) = -654*s**2 - 3*s - 165. Let d(f) = f**2 + f - 55. Let v(z) = 3*d(z) - l(z). Determine u, given that v(u) = 0.
-2/219, 0
Let x(p) be the second derivative of -p**4/30 - 2*p**3 + 451*p**2/5 - 45*p - 3. Suppose x(t) = 0. Calculate t.
-41, 11
Factor 0 + 0*n - 5/2*n**3 + 4*n**2 + 1/4*n**4.
n**2*(n - 8)*(n - 2)/4
Let k(f) = -2*f**2 + 24*f + 2. Let g(p) = 8*p**2 - 94*p - 9. Let z = -35 - -33. Let x(o) = z*g(o) - 9*k(o). Factor x(d).
2*d*(d - 14)
Let d(z) = -7*z**3 + 404*z**2 - 6*z - 12. Let j(v) = v**3 - 13*v**2 + v + 2. Let o(n) = d(n) + 6*j(n). Factor o(g).
-g**2*(g - 326)
Suppose 13 = -l + 11. Let m be ((-92)/(-16) + 0)/(l/(-8)). Let 24 + 8 + m*p + 24*p**2 - 14*p + 4*p**3 + 39*p = 0. Calculate p.
-2
Let k(n) be the second derivative of n**7/3360 + n**6/180 - 67*n**3/6 + 78*n. Let i(q) be the second derivative of k(q). What is p in i(p) = 0?
-8, 0
Factor -24*x - 11*x**2 + 0 + 1/2*x**3.
x*(x - 24)*(x + 2)/2
Suppose -56*r = -49*r + 7. Let h(u) = 3*u**2 + 24*u + 23. Let p be h(r). Find m such that -p*m**2 - 3/2 + 13/4*m + 1/4*m**3 = 0.
1, 6
Let h(n) = 2*n**2 + n - 9. Let r be h(5). Factor 1555*y**3 + 30*y**2 - 1515*y**3 - 24 + r*y**2 - 20*y.
4*(y + 2)*(2*y + 1)*(5*y - 3)
Let q = 7 - 4. Let p be ((-48)/(-4))/(2 - (-3)/(-6)). Suppose 4 - q*a**3 + 12*a + p + 4*a**2 - 7*a**2 = 0. Calculate a.
-2, -1, 2
Suppose -2*j + d = -8, -j - 3*d - 32 + 36 = 0. Let y(m) be the first derivative of 5/6*m**2 + 13 + 4/15*m**5 + 1/3*m**3 - m - 3/4*m**j. Factor y(i).
(i - 1)**3*(4*i + 3)/3
Suppose -5*r + 4*r = 5*r. Let b be 105/(-75) - (r - 3). Factor 6/5*m**2 + 0*m - b + 2/5*m**3.
2*(m - 1)*(m + 2)**2/5
Let n(j) be the first derivative of 3/5*j**2 + 4*j - 84 - 8/15*j**3. Suppose n(h) = 0. Calculate h.
-5/4, 2
Let w(f) = -18*f + 24. Let b be w(-2). Factor b + 5*n**2 + 119*n - 200*n + 146*n.
5*(n + 1)*(n + 12)
Let b(x) be the first derivative of 2*x**5/65 + 47*x**4/26 + 90*x**3/13 + 133*x**2/13 + 88*x/13 - 767. Factor b(r).
2*(r + 1)**3*(r + 44)/13
Let o(a) be the second derivative of -a**6/900 - a**5/100 + a**4/15 - 8*a**3/3 + 18*a. Let l(d) be the second derivative of o(d). Factor l(x).
-2*(x - 1)*(x + 4)/5
Let g(r) be the second derivative of r**5/160 + 441*r**4/32 + 194481*r**3/16 + 85766121*r**2/16 - 1903*r. Factor g(c).
(c + 441)**3/8
Let a(n) be the second derivative of -n**4/78 - 116*n**3/39 + 236*n**2/13 + 4*n + 12. Factor a(j).
-2*(j - 2)*(j + 118)/13
Let k(x) = -1558*x + 105947. Let b be k(68). Factor 14/3*g**2 + 22/9*g + 0 - 2/9*g**4 + 2*g**b.
-2*g*(g - 11)*(g + 1)**2/9
Let y be ((-1)/2)/(21/70)*-3. Suppose 24*j - 9*j - 45 = 0. Solve 9/4*d - 3/2*d**j - 3/4*d**y + 9/4*d**4 - 3/4 - 3/2*d**2 = 0.
-1, 1
Let u(l) = -2*l + 1. Let q(h) = 9*h**2 - 356*h + 10810. Let r(d) = q(d) + 2*u(d). Let t(b) = -b**2 - 2. Let x(i) = r(i) + 6*t(i). Factor x(j).
3*(j - 60)**2
Factor -2/23*l**2 - 994/23 + 996/23*l.
-2*(l - 497)*(l - 1)/23
Let o(m) = -10*m + 9. Let y = -22 + 19. Let v be o(y). Factor -39*i**2 + 3*i**3 + i**3 + v*i**2 - 4*i.
4*i*(i - 1)*(i + 1)
Factor 1/5*p**4 - 54/5 + 9/5*p**2 - 27/5*p + 7/5*p**3.
(p - 2)*(p + 3)**3/5
Let h(b) be the second derivative of b**4/42 + 752*b**3/21 + 141376*b**2/7 - 928*b. Factor h(k).
2*(k + 376)**2/7
Let n(q) = 7454*q + 37270. Let s be n(-5). What is d in 0 - 1/5*d**4 - 20*d**2 + s*d + 4*d**3 = 0?
0, 10
Let g(t) be the third derivative of t**7/630 + 4*t**6/45 + t**5/2 + t**4/12 + 11*t**2 - 2. Let q(c) be the second derivative of g(c). Factor q(k).
4*(k + 1)*(k + 15)
Suppose 83 - 68 = 3*i + 9. Determine n so that 816/5*n**3 + 96*n - 912/5*n**i - 96/5 + 54/5*n**5 - 342/5*n**4 = 0.
2/3, 1, 2
Solve -150/11*g**3 - 2/11*g**5 - 48/11*g**4 + 0*g + 0 + 200/11*g**2 = 0.
-20, -5, 0, 1
Let h(s) = -3*s**3 - 82*s**2 - 30*s - 54. Let g be h(-27). Find b such that -38*b - 4*b**2 + 20 + 12*b + g*b + 15*b = 0.
-1, 5
Suppose -4*j + 4*r = 20, -6*j + 7*j + 8 = -2*r. Let z be (-81 - -80)/(1 - j/(-4)). Factor -x - 1/4*x**z + 0.
-x*(x + 4)/4
Let n = 111 + -213. Let j = n - -104. Solve -15 - 2*y**3 - 3*y**3 + 11*y**2 + 4*y**j + 6*y - y = 0.
-1, 1, 3
Let k(h) be the third derivative of 26/15*h**5 - h**2 - 2*h**4 + 58 - 1/168*h**8 - 64/3*h**3 + 0*h + 17/30*h**6 + 1/35*h**7. Factor k(z).
-2*(z - 8)*(z - 1)*(z + 2)**3
Let q be (40/(-16))/(3/(-6) - 0) - (-26 - -28). Suppose -1/4*l**4 - 1728*l**2 + 0 + 36*l**q + 27648*l = 0. What is l?
0, 48
Let r(m) = -m**3 + 197*m**2 - 950*m - 44. Let a be r(5). Factor 3/7*s**4 + 0 + 15*s**2 - 66/7*s - a*s**3.
3*s*(s - 11)*(s - 2)*(s - 1)/7
Let k(h) be the third derivative of h**6/60 - 17*h**5/15 - h**4/12 + 34*h**3/3 - 931*h**2. What is p in k(p) = 0?
-1, 1, 34
Let a(u) = -u**2 - 3*u + 2. Let q be a(-2). Suppose -3*f = -l - 11, f + q*f - 2*l - 20 = 0. Solve -2*k**2 - 3*k**f - 4 + 4*k**2 + 4*k = 0 for k.
2
Let n(l) be the second derivative of l**8/11200 - l**7/2100 - l**6/400 - 35*l**4/12 - l + 55. Let y(m) be the third derivative of n(m). Factor y(h).
3*h*(h - 3)*(h + 1)/5
Let b be (2/3)/((-26)/273). Let r(l) = -4*l - 26. Let t be r(b). Solve -5*j**2 + 20*j - t*j**2 + 5*j**2 - 60 + 7*j**2 = 0 for j.
-6, 2
Let u(n) be the first derivative of 2*n**5/5 - 22*n**3/3 - 18*n**2 - 16*n + 3190. Determine l, given that u(l) = 0.
-2, -1, 4
Let c(n) be the first derivative of 4*n**3 + 193*n**2/2 + 16*n - 4895. Factor c(s).
(s + 16)*(12*s + 1)
Let z(v) be the first derivative of v**3/4 - 123*v**2/4 + 5043*v/4 - 370. Let z(h) = 0. Calculate h.
41
Let n be 1892/11*318/(-120). Let z = -455 - n. Factor 4/5*q**2 + 1/5*q**4 - z*q**3 + 0 + 0*q.
q**2*(q - 2)**2/5
Let d(c) be the third derivative of -c**5/330 + 19*c**4/6 + 419*c**3/33 + c**2 - 1920. Suppose d(k) = 0. Calculate k.
-1, 419
Let u be 1298/2655*(-24)/(-44). Let g(c) be the second derivative of 0 - 2/5*c**2 - 1/15*c**4 + u*c**3 - 14*c. Factor g(t).
-4*(t - 1)**2/5
Let u be (-591)/(-60) + (-2)/8. Suppose 25*o - 3352739 + 3352689 = 0. Suppose 144/5 + 4/5*w**o + u*w = 0. Calculate w.
-6
Suppose 0 = -5*q + 4*g + 50, 8 = -q - 61*g + 60*g. Determine t, given that 17/7*t - 1/7*t**q - 16/7 = 0.
1, 16
Let v(i) be the second derivative of -1/231*i**7 - 56/33*i**3 - 16/11*i**2 - 43/110*i**5 - 16 - 1/15*i**6 - i - 73/66*i**4. Solve v(h) = 0 for h.
-4, -1
Let s(o) be the third derivative of o**7/735 - 2*o**6/105 + 4*o**5/35 - 8*o**4/21 + 16*o**3/21 - 242*o**2 + o. Factor s(u).
2*(u - 2)**4/7
Let t(x) be the first derivative of 2/15*x**6 - 448/15*x**3 - 64/25*x**5 + 78/5*x**4 + 0*x + 20 + 98/5*x**2. Solve t(h) = 0.
0, 1, 7
Let z(c) be the first derivative of 21*c**4/4 + 625*c**3 + 267*c**2 + 1147. Factor z(g).
3*g*(g + 89)*(7*g + 2)
Let x = -2423/222 + 410/37. Factor 0*f + 5/2*f**3 + x*f**5 - 3/2*f**2 - 7/6*f**4 + 0.
f**2*(f - 3)**2*(f - 1)/6
Suppose -5*q + 29 = 7*a, 4*a - 3*q - 14775 = -14776. Factor 0 + 0*h - 10/7*h**3 + 2/7*h**4 - 1