4624 = -30*h + 24684. What is a in 13/7*a**3 - 12/7*a**h + 1/7*a**5 + 4/7*a - 6/7*a**4 + 0 = 0?
0, 1, 2
Let t(b) = -2*b + 8. Let i = -69 - -73. Let x be t(i). Factor 2/3*j**2 + 0 + x*j - 2/3*j**5 - 2/3*j**4 + 2/3*j**3.
-2*j**2*(j - 1)*(j + 1)**2/3
Let w(b) = 70*b**3 + 1635*b**2 + 11675*b - 13635. Let i(x) = -5*x**3 - 117*x**2 - 834*x + 974. Let j(v) = -85*i(v) - 6*w(v). Determine z, given that j(z) = 0.
-14, 1
Let b(d) be the second derivative of -3*d**6/400 + 19*d**5/300 - d**4/30 - 2*d**2 + 14*d. Let o(y) be the first derivative of b(y). Let o(c) = 0. Calculate c.
0, 2/9, 4
Let o(t) be the second derivative of -t**6/50 - 21*t**5/25 - 33*t**4/4 + 45*t**3 + 149*t. Factor o(a).
-3*a*(a - 2)*(a + 15)**2/5
Let s be ((-98)/(-490))/(2/32). Factor 24/5*h - 12/5*h**2 + 2/5*h**3 - s.
2*(h - 2)**3/5
Suppose -8 = 3*l + 4*d - 1, 0 = -5*l + d + 19. Let g = 13989/4 + -3485. Solve 5*v + 3/4*v**2 - 35/2*v**l - 1 - g*v**4 = 0.
-1, 2/7
Factor -53 + 32 + 131 + 4*s**2 + 65*s + s**2.
5*(s + 2)*(s + 11)
Let f(a) be the first derivative of a**4/14 + 4*a**3/7 + 12*a**2/7 + 16*a/7 - 7. Factor f(u).
2*(u + 2)**3/7
Solve -56*p + 96 - 8*p**2 - 78 - 107 - 9 = 0 for p.
-7/2
Let v = 9 + -10. Let n be 3 + (v*4)/4. Factor -9*x**2 - 5*x + x + 5*x**n.
-4*x*(x + 1)
Let n be -19*3/(-12) - (-9)/(-12). Factor 6*a**5 + 485*a - 485*a - 3*a**5 + 9*a**2 - 3*a**3 - 9*a**n.
3*a**2*(a - 3)*(a - 1)*(a + 1)
Let c(a) be the second derivative of 0 - 17*a - 3/4*a**2 - 1/6*a**3 + 1/24*a**4. Factor c(z).
(z - 3)*(z + 1)/2
Let u(c) be the second derivative of 3*c**5/20 - 57*c**4/4 - 117*c**3/2 - 177*c**2/2 + 2*c + 43. Find r, given that u(r) = 0.
-1, 59
Suppose 4*u + 3*l + 405 = 0, l + 10 = 3*l. Let m be 5/u + 1/3. Factor m*d**2 + 4/7 - 6/7*d.
2*(d - 2)*(d - 1)/7
Suppose j = -0*t - 2*t + 5, 0 = -t + 4*j + 25. Factor -3*f**t + 2*f**4 + 12*f**4 - 17*f**4.
-3*f**4*(f + 1)
Factor -22/5*f - 14/5*f**2 - 2 - 2/5*f**3.
-2*(f + 1)**2*(f + 5)/5
Let a(w) be the first derivative of 1/4*w**4 + 6*w + 28 - 1/2*w**2 - 2*w**3. Factor a(k).
(k - 6)*(k - 1)*(k + 1)
Suppose 3*d - 3*w = -6, d + 2*w - 6*w + 14 = 0. Let m(i) = -i**3 - 5*i**2 + 7. Let b be m(-5). Factor 3*t**2 + b - d + 3 - 8*t - t**2.
2*(t - 2)**2
Let y(u) be the third derivative of u**6/240 + 13*u**5/120 + 17*u**4/24 - 4*u**3 + 4*u**2 - 57*u. Determine m so that y(m) = 0.
-8, -6, 1
Let p = 92/91 - -24/13. Suppose -24/7*y + 122/7*y**3 + p*y**2 + 0 - 177/7*y**4 + 45/7*y**5 = 0. What is y?
-2/5, 0, 2/3, 3
Let -3/7*y**2 - 138/7 - 75/7*y = 0. Calculate y.
-23, -2
Suppose 0 = 4*c + 2*h - 62, -2*h = c - 12 - 11. Let q(r) be the second derivative of -1/2*r**2 - c*r + 0 - 1/36*r**4 - 2/9*r**3. Find u, given that q(u) = 0.
-3, -1
Let h(n) be the third derivative of n**5/12 - 5*n**4/6 - 25*n**3/6 - 2*n**2 + 19. Factor h(f).
5*(f - 5)*(f + 1)
Let r(l) = 12*l**2 - 66 + 10*l + 17 + 19 + 19. Let p(z) = 3*z - z**2 + 5*z**2 + 1 - 5. Let j(c) = 17*p(c) - 6*r(c). Factor j(y).
-(y + 2)*(4*y + 1)
Let g(c) = -8*c**2 - 24*c - 16. Let t(l) be the third derivative of -l**5/20 - l**4/3 - 5*l**3/6 + 45*l**2. Let j(k) = -5*g(k) + 14*t(k). Factor j(x).
-2*(x - 5)*(x + 1)
Let k(n) = -2*n**3 - 16*n**2 - 30*n - 16. Let d(z) = z**3 - z**2 - z + 1. Let s(o) = -3*d(o) - 3*k(o). Factor s(y).
3*(y + 1)**2*(y + 15)
Let g(a) be the third derivative of -a**8/31680 - a**7/18480 + 2*a**5/5 + 15*a**2. Let q(w) be the third derivative of g(w). Solve q(y) = 0 for y.
-3/7, 0
Solve -294*t - 382*t**5 - 882*t + 228*t**3 + 402*t**5 - 2884*t**2 + 228*t**4 = 0 for t.
-7, -2/5, 0, 3
Let z be (-220)/42 + 5 + 16/28. Factor -1/6*f - z*f**2 - 1/6*f**3 + 0.
-f*(f + 1)**2/6
Let b = 204 + -199. Suppose -b*w + 6*p - 25 = p, 5*w - 4*p = -20. Find r such that 0*r + w*r**3 + 0*r**2 + 4/5*r**5 + 0 - 1/5*r**4 = 0.
0, 1/4
Let l be (-15)/9*((-2376)/(-204) + -12). Factor 0*s + 0 - 4/17*s**2 - 14/17*s**3 - l*s**4.
-2*s**2*(s + 1)*(5*s + 2)/17
Let r(o) be the first derivative of 0*o**4 + 0*o**2 - 2/85*o**5 - 2/17*o + 4 + 4/51*o**3. Factor r(x).
-2*(x - 1)**2*(x + 1)**2/17
Let f(d) be the second derivative of -9*d**5/50 + 29*d**4/15 - 32*d**3/5 + 32*d**2/5 - 100*d + 2. Find b, given that f(b) = 0.
4/9, 2, 4
Let x(i) be the first derivative of i**5/5 + 7*i**4/4 + 2*i**3/3 - 32*i**2 - 96*i - 81. Let x(k) = 0. What is k?
-4, -2, 3
Solve 15/2 - 15/2*j**2 + 5/4*j**5 - 10*j**3 + 35/4*j + 0*j**4 = 0 for j.
-2, -1, 1, 3
Let y(q) be the second derivative of q**4/18 - 16*q**3/3 + 192*q**2 - 24*q. Factor y(s).
2*(s - 24)**2/3
Let d be 22/6 + 111/(-37). Factor 0 - 4/3*p + 4/3*p**3 + 2/3*p**4 - d*p**2.
2*p*(p - 1)*(p + 1)*(p + 2)/3
Suppose -2*p = -9*p - 91. Let t = -8 - p. Factor 2*k - 11*k**3 + k**5 + 9*k**3 - k + 0*k**t.
k*(k - 1)**2*(k + 1)**2
Let i(u) be the second derivative of u**7/56 + u**6/40 - 9*u**5/80 - 5*u**4/16 - u**3/4 + 18*u - 15. Factor i(w).
3*w*(w - 2)*(w + 1)**3/4
Let i = -3551/5 - -711. Factor i*z**4 - 2/5*z**5 + 2/5*z + 0 - 4/5*z**2 + 0*z**3.
-2*z*(z - 1)**3*(z + 1)/5
Suppose 50 = -8*f + 3*f. Let t = 12 + f. Factor -16*d - 4 - 25*d**t - 7*d**4 + 5*d**5 - 2*d**5 - 19*d**3 - 4*d**5.
-(d + 1)**3*(d + 2)**2
Let f = -4882 - -4882. Find m such that 4/7*m - 2/7*m**2 + f = 0.
0, 2
Let u(f) be the second derivative of -f**6/45 - f**5/10 - f**4/9 - 26*f + 4. Let u(r) = 0. Calculate r.
-2, -1, 0
Let z(m) be the third derivative of -m**8/504 - m**7/315 + 7*m**6/180 + m**5/90 - m**4/6 + 11*m**2 + 5*m. Suppose z(i) = 0. Calculate i.
-3, -1, 0, 1, 2
Let l(t) = -t**2 - 12*t - 25. Let c be l(-9). Factor -20*j**2 + 10*j**2 - 2*j**3 + 18*j**c.
-2*j**2*(j - 4)
Let u(t) be the second derivative of t**4/48 - 7*t**3/8 - 11*t**2/4 + 2*t + 19. Factor u(m).
(m - 22)*(m + 1)/4
Determine f, given that 18*f + 162 + 1/2*f**2 = 0.
-18
Suppose -45 = -10*y + 15. Suppose y*m - 14*m = -24. Factor 2/5*i**5 + 0*i**2 + 2/5*i**m + 0 + 4/5*i**4 + 0*i.
2*i**3*(i + 1)**2/5
Let c(g) = -33*g**5 + 237*g**4 - 636*g**3 + 651*g**2 - 204*g - 27. Let q(r) = -r**5 - r**2 - 2*r. Let b(o) = -c(o) + 3*q(o). Solve b(a) = 0.
-1/10, 1, 3
Let i = 60 - 52. Let h be 4 - 32/(-28) - (-4 + i). Suppose 4/7*d - h*d**2 + 12/7 = 0. Calculate d.
-1, 3/2
Let d(r) = -r**2 - 23*r - 37. Let k be d(-21). Let v(f) be the first derivative of -8/5*f**k + 4*f + 2*f**2 - 4*f**3 - 5*f**4 + 9. Suppose v(t) = 0. What is t?
-1, 1/2
Let q(r) be the third derivative of 25/336*r**8 + 65/24*r**4 + 19/12*r**6 + 5/3*r**3 + 6*r**2 + 0 + 8/3*r**5 + 11/21*r**7 + 0*r. Factor q(h).
5*(h + 1)**4*(5*h + 2)
Let g(j) = j**2 - 2*j - 2. Let l(k) = -4*k**2 - 212. Let b(h) = 6*g(h) + l(h). Factor b(u).
2*(u - 14)*(u + 8)
Suppose -3/2*o**3 - 3*o**2 + 0 - 3/4*o**5 + 3*o**4 + 9/4*o = 0. What is o?
-1, 0, 1, 3
Let s(z) be the first derivative of z**4/6 + 4*z**3/3 - 12*z - 16. Let n(a) be the first derivative of s(a). Solve n(b) = 0.
-4, 0
Let r(u) be the third derivative of 1/60*u**5 - 13*u**2 - 5/24*u**4 + 1/2*u**3 + 0*u + 1/120*u**6 + 0. Find l, given that r(l) = 0.
-3, 1
Let f be 12/84 + (-3 - (-2421)/840). Let j(r) be the third derivative of 0*r**5 - 6*r**2 + f*r**6 + 0 + 0*r**3 + 0*r**4 + 0*r - 1/70*r**7. Factor j(k).
-3*k**3*(k - 1)
Let b(n) be the second derivative of n**4/24 - 41*n**3/6 + 1681*n**2/4 + 186*n. Factor b(q).
(q - 41)**2/2
Let u(v) be the third derivative of -v**5/20 + v**3/2 + 30*v**2. Determine l so that u(l) = 0.
-1, 1
Let t(f) = -4*f**3 + 4*f - 6. Suppose 31 = -7*c - 18. Let z(w) = -5*w**3 + w**2 + 4*w - 7. Let p(o) = c*t(o) + 6*z(o). What is u in p(u) = 0?
0, 1, 2
Factor -2*q**2 - q**2 + 7 - 4*q + 11 - 14*q + 3*q.
-3*(q - 1)*(q + 6)
Let o(w) = -9*w**3 - 23*w**2 - 83*w - 25. Let u(i) = -3*i**3 - 7*i**2 - 28*i - 8. Let t(b) = 4*o(b) - 11*u(b). Let t(z) = 0. What is z?
-2, -1
Suppose -5/3*x**2 - 4/3 + 1/2*x**4 - 10/3*x + 5/6*x**3 = 0. Calculate x.
-2, -1, -2/3, 2
Let u(r) be the second derivative of -3*r**5 - 55*r**4/12 + 5*r**3/3 + 5*r**2/2 + 2*r - 52. Factor u(a).
-5*(a + 1)*(3*a - 1)*(4*a + 1)
Let z(d) be the second derivative of 7/3*d**4 + 4/3*d**3 + 2/21*d**7 + 2/3*d**6 + 2*d + 0*d**2 + 9/5*d**5 + 0. Determine b so that z(b) = 0.
-2, -1, 0
Let b = 132 - 511/4. Let d(g) = 2*g**2. Let i be d(-1). Suppose -13/4*u**i - 6*u**3 - b*u**4 + 0 - u**5 - 1/2*u = 0. What is u?
-2, -1, -1/4, 0
Let j = -2/2577 - -863/5154. Let v(a) be the second derivative of 0 + 2*a + 0*a**2 + j*a**3 + 1/12*a**4.