3 - 13*x**2 - 24*x**2 + 34*x**2 - 12*x = 0.
-4, -1, 0, 1
Let m be 0*((-21)/(-6) - 3). Suppose 3*y - 3 = 0, m = -3*w + 4*y + 5 + 3. Factor w*k - 20*k + 4*k**2 + 8*k.
4*k*(k - 2)
Suppose -800/17 - 80/17*s - 2/17*s**2 = 0. Calculate s.
-20
Let m be 12/1*(-25)/15. Let p be (m/8 + (-2)/(-4))/(-1). What is a in 1/5*a**3 + 0 - 1/5*a**p + 0*a = 0?
0, 1
Let t be (-68)/18 - 4/18. Let x(p) = p**3 + 23*p**2 - 68*p + 52. Let m(i) = i**3 + 47*i**2 - 137*i + 103. Let g(v) = t*m(v) + 7*x(v). Factor g(z).
3*(z - 4)**2*(z - 1)
Let c(k) be the first derivative of -k**8/1680 + k**7/210 - k**6/72 + k**5/60 - 20*k**3/3 - 27. Let b(s) be the third derivative of c(s). Factor b(w).
-w*(w - 2)*(w - 1)**2
Let i(g) be the first derivative of g**4 + 16*g**3 + 42*g**2 + 40*g + 48. Factor i(a).
4*(a + 1)**2*(a + 10)
Factor 18*u**2 - 4*u**4 + 48*u - 89*u**3 + 14*u**2 + 69*u**3.
-4*u*(u - 2)*(u + 1)*(u + 6)
Let y(p) = 6*p + 11. Let f be y(3). Factor 20*u**2 + f*u**2 - 116*u + 60 - 24*u**2 + 4*u**3 + 27*u**2.
4*(u - 1)**2*(u + 15)
Let m(c) be the third derivative of 0 - 14*c**2 + 0*c**6 - 1/1050*c**7 + 0*c**3 - 1/1680*c**8 + 0*c**5 + 0*c + 0*c**4. Suppose m(x) = 0. Calculate x.
-1, 0
Let u be 6 + (3 - (4 - 1)). Solve -x**4 + u*x**4 + 16*x**3 + 23*x**4 - 16*x**2 + 8*x**5 = 0 for x.
-2, 0, 1/2
Let a(f) be the first derivative of -5*f**3/3 - 380*f**2 - 28880*f + 182. Find l, given that a(l) = 0.
-76
Let b(h) be the second derivative of -h**7/14 - 4*h**6/5 - 9*h**5/10 + 10*h**4 - 25*h**3/2 + 18*h - 4. Factor b(p).
-3*p*(p - 1)**2*(p + 5)**2
Let k(o) be the second derivative of -5*o**7/84 + o**6/15 + 3*o**5/8 - o**4/12 - 2*o**3/3 - 803*o. What is d in k(d) = 0?
-1, 0, 4/5, 2
Let g(o) = 2*o**3 + 106*o**2 - 4*o + 2. Let f(m) = 6*m**3 + 317*m**2 - 14*m + 7. Let c(h) = -4*f(h) + 14*g(h). Solve c(v) = 0.
-54, 0
Let v(h) be the second derivative of -17*h**4/60 - 11*h**3/30 + 3*h**2/5 - 212*h. Factor v(d).
-(d + 1)*(17*d - 6)/5
Factor -2/21*q**2 - 248/21*q - 7688/21.
-2*(q + 62)**2/21
Let o = -10 + 12. Factor -6*v + 1 + 4 - 2*v**o + 21*v + 3.
-(v - 8)*(2*v + 1)
Let i(v) be the third derivative of 1/420*v**7 + 0*v + 0*v**3 + 0*v**4 + 1/120*v**5 + 6*v**2 + 0 + 1/96*v**6. Factor i(k).
k**2*(k + 2)*(2*k + 1)/4
Let q(v) = -v**3 - 4*v**2 - v + 8. Let r be q(-3). Suppose 5*u + r*d = -0*d + 21, -5*u - 4*d = -27. Factor 1/3*x**u + 0*x**2 - x - 2/3.
(x - 2)*(x + 1)**2/3
Let y be ((-18)/(-4))/(54/180). Factor -30*g**2 - 11*g - 5*g**3 + y*g**2 + g.
-5*g*(g + 1)*(g + 2)
Let v(y) = 4*y + 46. Let s be v(-11). Factor -4*p**2 - 2*p**5 - 5*p**4 - 2*p**3 - 3*p**2 + 7*p**s.
-p**3*(p + 2)*(2*p + 1)
Suppose 4*c = -s + 18, -2*s + 10 = 5*c - 7*s. Let o(m) be the first derivative of 1/16*m**c - 1/8*m**2 - 3 - 1/12*m**3 + 1/4*m. Solve o(t) = 0.
-1, 1
Suppose 5*p - 3 = 4*p - z, 5*p - z = 9. Factor -3*c + 3*c - 4*c**2 + p*c**3 + 2*c**4 + 0*c**4.
2*c**2*(c - 1)*(c + 2)
Let y(k) be the second derivative of k**7/63 + 11*k**6/45 + 7*k**5/5 + 3*k**4 - 3*k**3 - 27*k**2 + 455*k - 1. Suppose y(x) = 0. Calculate x.
-3, 1
Let b = 18/197 + 662/1379. Suppose 2*w - 8/7*w**3 + 10/7*w**2 - b = 0. Calculate w.
-1, 1/4, 2
Let x(o) = 12*o**2 + 10*o - 6. Let d(p) = 37*p**2 + 32*p - 19. Let v(u) = 4*d(u) - 14*x(u). Solve v(s) = 0 for s.
-1, 2/5
Let w(d) be the second derivative of -2*d - 9/8*d**3 - 15/8*d**2 + 3/80*d**5 - 3/16*d**4 + 0. Determine k, given that w(k) = 0.
-1, 5
Let x(q) = -5*q**3 - 2*q**2 - q + 1. Let s be x(-1). Let t(y) be the third derivative of 0 + 1/8*y**4 - s*y**2 + 0*y + 1/3*y**3 + 1/60*y**5. Solve t(c) = 0.
-2, -1
Let n(a) = -4*a**2 + 104*a + 2704. Let x(t) = 5*t**2 - 104*t - 2704. Let u(v) = -6*n(v) - 5*x(v). Factor u(s).
-(s + 52)**2
Let p(t) = t**3 - 14*t**2 + 13*t + 34. Let b be p(14). Let k = 1518/7 - b. Suppose 2/7*f + 0 - k*f**3 + 4/7*f**2 = 0. What is f?
-1/3, 0, 1
Let g be ((-8)/(-10))/(61/305). Let r(t) be the third derivative of -1/270*t**5 + 0 + 10*t**2 + 0*t**3 + 1/54*t**g + 0*t. Solve r(v) = 0 for v.
0, 2
Suppose 0*q - 115 = -5*q. Let l = 25 - q. Let 3/4*j**l + 3/4 - 3/2*j = 0. Calculate j.
1
Suppose -w = -3*g + w + 11, -2*g - 18 = 5*w. Let c be (-3 + 0 - -12) + g. Suppose -8*q**3 - 26*q + 7*q**3 - c*q**2 + q = 0. What is q?
-5, 0
Suppose -268*d + 255*d + 26 = 0. Let n(v) = -v**3 - 4*v**2 + 4*v - 3. Let o be n(-5). Suppose -2*j + 1/2*j**o + d = 0. Calculate j.
2
Let f(d) be the third derivative of d**8/84 - 3*d**7/35 + 2*d**6/15 + d**5/5 - 5*d**4/6 + d**3 - 30*d**2. Solve f(i) = 0.
-1, 1/2, 1, 3
Let j(l) be the first derivative of l**4/6 + 16*l**3 + 407*l**2 - 5476*l/3 + 212. Factor j(i).
2*(i - 2)*(i + 37)**2/3
Let c(a) be the third derivative of 1/12*a**5 + 8/15*a**3 + 13*a**2 + 0 + 1/3*a**4 + 0*a. Factor c(s).
(5*s + 4)**2/5
Let c(x) be the first derivative of 3*x**5/35 - 129*x**4/28 - 44*x**3/7 + 365. Factor c(w).
3*w**2*(w - 44)*(w + 1)/7
Let q(n) be the second derivative of 0 + 1/2*n**2 + 1/40*n**5 - 10*n - 1/4*n**3 + 0*n**4. Determine p so that q(p) = 0.
-2, 1
Let x be 3718/2904 - (-2)/(-8)*5. Let g(s) be the third derivative of 8*s**2 + 1/66*s**4 - x*s**3 - 1/330*s**5 + 0 + 0*s. Factor g(a).
-2*(a - 1)**2/11
Solve 18/5*f**2 + 12/5*f - 16/5 = 0.
-4/3, 2/3
Let s(m) = 2*m**3 - 2*m**2 - m. Let v be s(-1). Let p be v*((-40)/12)/2. Let 4 - p*a + 0 + 9*a + a**2 = 0. What is a?
-2
Let q = -16183/34 - -476. Let j(l) be the second derivative of -6*l + 2/17*l**2 + 0 - q*l**5 - 1/51*l**3 - 4/51*l**4. Factor j(w).
-2*(w + 1)**2*(5*w - 2)/17
Factor -100/3*v**2 - 1/3*v**4 + 0 + 20/3*v**3 + 0*v.
-v**2*(v - 10)**2/3
Let n(l) be the third derivative of l**8/2184 + l**7/1365 - 3*l**6/130 - 3*l**5/65 + 27*l**4/52 + 27*l**3/13 + 95*l**2. Suppose n(a) = 0. What is a?
-3, -1, 3
Let p(c) be the second derivative of c**7/126 - c**5/15 - c**4/18 + c**3/6 + c**2/3 + 51*c. Suppose p(n) = 0. What is n?
-1, 1, 2
Let u = 63 + -59. Let f(y) be the second derivative of 0 + u*y + 1/7*y**3 + 3/140*y**5 + 0*y**2 + 3/28*y**4. Factor f(k).
3*k*(k + 1)*(k + 2)/7
Suppose 4*q + 0*q = 0. Suppose q = 5*h - 13 - 7. Solve -8*p**3 - 8*p + 2*p**h + 16*p + 2*p**4 - 4 = 0.
-1, 1
Let u be (-4466)/51359 + (-8)/138*423/(-6). Determine w, given that 0 - w**u - 2/3*w + 1/3*w**3 + 1/3*w**5 + w**2 = 0.
-1, 0, 1, 2
Let 9/2*u - 15/2*u**2 + 3 = 0. Calculate u.
-2/5, 1
Factor -4/5*l**3 + 0 + 52/5*l**2 - 48/5*l.
-4*l*(l - 12)*(l - 1)/5
Let r(k) be the third derivative of -8*k**7/105 + 32*k**6/15 + 139*k**5/15 + 89*k**4/6 + 12*k**3 - 44*k**2. What is f in r(f) = 0?
-1, -1/2, 18
Suppose 2*j + j - 15 = 0. Let d = j + -3. Factor -q**2 + d - 1 + q - 3*q**3 + 2*q**3.
-(q - 1)*(q + 1)**2
Factor 1/2*j + 1/8*j**2 + 0 - 1/8*j**4 - 1/2*j**3.
-j*(j - 1)*(j + 1)*(j + 4)/8
Let q(a) be the second derivative of 0*a**2 + 0*a**3 - 14*a + 0 + 0*a**4 - 1/50*a**5 + 1/150*a**6 + 1/210*a**7. Determine f so that q(f) = 0.
-2, 0, 1
Suppose -5*t = -t - 16. Factor g**5 + 22*g**3 - 4 - 23*g**3 + 7*g**2 - g**4 - 2*g**t.
(g - 2)**2*(g - 1)*(g + 1)**2
Let w(u) be the second derivative of -u**5/60 - u**4/36 + 2*u**3/9 + 2*u**2/3 - 5*u + 20. Find p, given that w(p) = 0.
-2, -1, 2
Factor -9/5 + 12/5*g**2 - 33/5*g.
3*(g - 3)*(4*g + 1)/5
Factor 0 + 48/5*g**2 - 192/5*g - 3/5*g**3.
-3*g*(g - 8)**2/5
Suppose 4*q = 2*q + 8. Let z be (-3)/(-4)*(-48)/((-10)/((-140)/(-441))). Find g such that 0*g + 2/7*g**q - z*g**5 + 0 + 8/7*g**3 - 2/7*g**2 = 0.
-1, 0, 1/4, 1
Let r(d) be the third derivative of -d**6/360 + d**5/36 - 7*d**4/72 + d**3/6 + 7*d**2. Factor r(z).
-(z - 3)*(z - 1)**2/3
Let a(b) be the first derivative of 2*b**2 + b**3 + 0*b - 13/8*b**4 + b**5 - 2 - 9/40*b**6. Let o(k) be the second derivative of a(k). Factor o(d).
-3*(d - 1)**2*(9*d - 2)
Factor -219/7*m - 15*m**2 - 111/7 + 3/7*m**3.
3*(m - 37)*(m + 1)**2/7
Let f(x) = x**2 + 7*x - 15. Let u be f(-9). Suppose 3*h - 23 - 1 = u*t, 17 = -h - 4*t. Let 0 - 31 + 2*i**2 + 7*i**2 + 19 + 3*i**h = 0. What is i?
-2, 1
Let c(b) = b**3 - 7*b**2 - 20*b. Let i be c(9). Let v be (-12)/(-16)*(-8)/i. Factor -v*z**3 + 2/3*z**2 - 2/3 + 1/3*z.
-(z - 2)*(z - 1)*(z + 1)/3
Let m(j) be the second derivative of j**5/12 + 35*j**4/12 + 95*j**3/9 + 171*j + 1. Suppose m(d) = 0. Calculate d.
-19, -2, 0
Let x(y) = -y**3 - 7*y**2 + 5*y. Let f be x(-8). Factor 11*i**3 + 7*i**4 + 55*i**3 - 6 - 9*i - 10*i**4 + f*i**2 + 15*i**5 + 57*i**4.
3*(i + 1)**4*(5*i - 2)
Let 