et a(j) = -2*j**3 - 4*j**2 - 2*j - 5. Let f be a(-4). Let z = f + -67. Find p, given that -1/2*p**4 + 0 + 0*p**2 + z*p - 1/2*p**3 = 0.
-1, 0
Let b(x) = -x - 2. Let u be b(1). Let w(f) = f**2 + f + 1. Let k(a) = 9*a**2 + 2*a + 17. Let c(y) = u*k(y) + 24*w(y). What is v in c(v) = 0?
3
Let j(o) be the first derivative of 5*o**8/336 - 2*o**7/21 - o**6/12 + o**5 + 15*o**4/8 - 3*o**2 + 16. Let m(r) be the second derivative of j(r). Factor m(c).
5*c*(c - 3)**2*(c + 1)**2
Let u(g) be the second derivative of -1/12*g**4 + 1/90*g**6 + 0*g**2 - 1/9*g**3 + 3*g + 0 + 0*g**5. Solve u(l) = 0.
-1, 0, 2
Let o be ((-3)/(-3))/(0 + (-2)/(-48)). Suppose -l + 27 = o. What is a in -4*a**l - 4/5*a - 18/5*a**2 + 0 = 0?
-1/2, -2/5, 0
Let x = 74 + -54. Let w(k) = -3*k**2 + 58*k + 40. Let h be w(x). Factor 352/5*j**3 - 256/5*j**2 + h + 36/5*j**5 - 192/5*j**4 + 64/5*j.
4*j*(j - 2)**2*(3*j - 2)**2/5
Let y(t) = -t**2 - t + 16. Let s be y(-4). What is i in -2*i**3 - 1 + 2*i**3 + 5*i + 4*i**2 - 5*i**3 + 4*i**s - 7*i**2 = 0?
-1, 1/4, 1
Suppose c - 3 = 2. Suppose -n = l - 11, 3*l + c*n - 31 = l. Determine u so that -6*u**2 + 5*u**2 - l*u + 5*u**2 = 0.
0, 2
Find r such that -27*r + 1/2*r**2 + 729/2 = 0.
27
Let s(w) be the third derivative of w**7/840 - w**5/40 + w**4/12 - 3*w**3/2 - w**2. Let p(o) be the first derivative of s(o). Suppose p(r) = 0. Calculate r.
-2, 1
Let o(g) be the first derivative of g**5/240 - g**4/96 - g**3/12 - 33*g**2/2 - 35. Let r(l) be the second derivative of o(l). Factor r(f).
(f - 2)*(f + 1)/4
Let v be 2 + 9 - 3 - 2. Suppose -v*q - 3*q**3 - q + 8*q**2 - q + q**3 = 0. Calculate q.
0, 2
Let b(z) = -z**2 - 14*z - 9. Let d be (-16)/(-2)*21/(-42). Let g(p) = -15*p - 10. Let h(c) = d*g(c) + 5*b(c). Factor h(n).
-5*(n + 1)**2
Let h be 10/75 + (-223)/(-15). Let 47*o - o**2 - 34*o + h*o - 196 = 0. Calculate o.
14
Find j, given that 8*j**4 - 5*j**3 - 4*j + 7*j**2 + 4*j**4 + 4*j - 11*j**4 - 3*j = 0.
0, 1, 3
Let h(u) be the second derivative of u**4/114 + 9*u**3/19 + 26*u**2/19 - 3*u. Find r such that h(r) = 0.
-26, -1
Let p(h) = -12*h**3 - 18*h**2 - 21*h. Let g(c) = c**3 + c**2 + c. Let j(s) = -15*g(s) - p(s). Factor j(a).
-3*a*(a - 2)*(a + 1)
Let u(i) be the second derivative of -2*i**7/105 + 21*i**6/50 + 21*i**5/25 + 17*i**4/60 + 31*i + 3. Find m such that u(m) = 0.
-1, -1/4, 0, 17
Suppose 0 = -5*f + 342 - 7. Let m = f - 65. Find s, given that 4 + 1/4*s**m - 2*s = 0.
4
Let o(n) be the first derivative of -2*n**5/45 + n**4/6 - 2*n**3/27 - n**2/3 + 4*n/9 - 241. Find p such that o(p) = 0.
-1, 1, 2
Let q(b) be the first derivative of b**4/32 + 31*b**3/24 + 7*b**2/4 - 15*b/2 + 358. Factor q(t).
(t - 1)*(t + 2)*(t + 30)/8
Let g = -3494 - -3494. Let g*u + 2/11*u**3 + 0*u**2 + 0 = 0. Calculate u.
0
Let l be 53/(-13) - (-40)/10. Let v = l + 29/39. Factor 2/3*a**2 - 2/3 - 2/3*a**3 + v*a.
-2*(a - 1)**2*(a + 1)/3
Let u(a) = 15*a**2 + 30*a - 10. Let k(r) = 7*r**2 + 15*r - 4. Let b(d) = 5*k(d) - 2*u(d). Determine x, given that b(x) = 0.
-3, 0
Let m(f) be the first derivative of 30 + 9/4*f**4 - 3*f**2 - 3/5*f**5 + 0*f + f**3 - 1/2*f**6. Find t such that m(t) = 0.
-2, -1, 0, 1
Suppose -1/4*o**2 - o + 0 + 1/8*o**3 = 0. What is o?
-2, 0, 4
Let w(r) be the second derivative of -2*r**2 + 11/3*r**3 - 3/2*r**4 + 16*r + 0. Factor w(t).
-2*(t - 1)*(9*t - 2)
Let w(j) = j**3 - 35*j**2 + 120*j + 894. Let g(f) = 35*f**2 - 120*f - 895. Let d(o) = 6*g(o) + 5*w(o). Factor d(s).
5*(s - 5)*(s + 6)**2
Let v be 0 - (-5 - -2) - (-3)/(-1). Let y be v - 6/((-6)/(-1 + 4)). Determine j, given that 0 + 0*j - 2/17*j**2 - 2/17*j**y = 0.
-1, 0
Find s, given that -2/7*s**2 + 78/7*s + 0 = 0.
0, 39
Let y(a) = a**3 - 4*a**2 + 5*a - 4. Let b be y(3). Suppose 1 = i - b. Factor i*w - 12 - 18*w**2 - 24*w + 6.
-3*(2*w + 1)*(3*w + 2)
Let d(s) be the second derivative of s**6/10 + 3*s**5/20 - 3*s**4/2 - 2*s**3 + 12*s**2 - s - 44. Solve d(m) = 0 for m.
-2, 1, 2
Let o = -47 + 42. Let i be 14/56*(-4)/o. Factor 2/5 + i*t**5 + 6/5*t**4 + 9/5*t + 14/5*t**3 + 16/5*t**2.
(t + 1)**4*(t + 2)/5
Let v(n) be the third derivative of 1/16*n**5 + 0*n**3 + 1/160*n**6 + 0 + 0*n**4 - 20*n**2 + 0*n. Let v(i) = 0. Calculate i.
-5, 0
Let z(b) be the second derivative of b**6/42 - 3*b**5/140 - 11*b**4/42 + 2*b**3/7 + 4*b**2/7 + 166*b. Let z(y) = 0. Calculate y.
-2, -2/5, 1, 2
Let w be ((-20)/(-18))/((-900)/(-4320)). Determine c so that 8/3*c - w + 2/3*c**4 - 10/3*c**3 + 4*c**2 = 0.
-1, 2
Suppose 8*p - 7*p = 6. Factor 4*w**2 - 193*w**3 - 10*w + p + 195*w**3 - 2*w**2.
2*(w - 1)**2*(w + 3)
Let l(c) be the second derivative of -1/80*c**5 + 0 + 17*c + 1/8*c**3 + 0*c**4 + 1/4*c**2. Factor l(i).
-(i - 2)*(i + 1)**2/4
Let q(b) = -7*b**2 - 26*b + 47. Let r be q(-5). Suppose -16/5*d + 2/5*d**r + 32/5 = 0. What is d?
4
Let k(q) = 2*q - 10. Let w be k(2). Let x be (2*3/w)/((-5)/10). Find z such that 20/7*z**4 - 2/7*z - 33/7*z**3 + 15/7*z**x + 0 = 0.
0, 1/4, 2/5, 1
Let m = 22 - 19. Factor 8*g**m + 4*g - 15 + 11 + 4*g**4 - 12*g.
4*(g - 1)*(g + 1)**3
Let t = -44384 + 44386. Factor t*o + 0 - 1/2*o**2.
-o*(o - 4)/2
Let z(c) be the second derivative of 4*c**7/147 + c**6/7 - 2*c**5/35 + 148*c. Factor z(v).
2*v**3*(v + 4)*(4*v - 1)/7
Let q = 29 + -18. Suppose -4*a - 14 = -q*a. Factor -n**5 - 3*n**3 - 3*n**4 - 6*n**3 - 2*n**4 - a*n - 7*n**2.
-n*(n + 1)**3*(n + 2)
What is g in 3380/3 + 45*g**2 + 5/6*g**3 + 650*g = 0?
-26, -2
Let w(s) be the first derivative of 0*s + 1/3*s**3 + 12 + 3/2*s**2. Factor w(l).
l*(l + 3)
Let d(s) be the first derivative of -s**3/3 - 8*s**2 - 55*s + 226. Let d(w) = 0. Calculate w.
-11, -5
Let o be (-45 + 43)*((-18)/(-4))/(-3). Let n(w) be the first derivative of 2/15*w**o + 1/5*w - 1/2*w**2 + 4 + 2/5*w**4. Let n(q) = 0. Calculate q.
-1, 1/4, 1/2
Suppose 4*s = 0, -4*s = w + 4*w + 220. Let a = -39 - w. What is m in -75/8*m**2 + 6*m + 3/8*m**a - 3/2 + 57/8*m**3 - 21/8*m**4 = 0?
1, 2
Let r(x) = -5*x**4 + 6*x**3 - 7*x**2 - 10*x + 4. Let d(k) = -3*k**4 + 6*k**3 - 6*k**2 - 9*k + 3. Let u(v) = 4*d(v) - 3*r(v). Factor u(q).
3*q*(q - 1)*(q + 1)*(q + 2)
Solve 3*q + 7*q - 55*q - 12*q**3 + 129*q**2 - 11*q - 34*q = 0 for q.
0, 3/4, 10
Let o(u) be the first derivative of 0*u + 3/20*u**5 + 3/2*u**2 + 0*u**3 + 35 - 9/16*u**4. Factor o(z).
3*z*(z - 2)**2*(z + 1)/4
Determine n, given that 3*n - 21/5*n**2 + 45 - 3/5*n**3 = 0.
-5, 3
Let m be (143/55 + -4)/(1/(-2)). Find v such that -v**3 - 8/5 + m*v + 17/5*v**2 = 0.
-1, 2/5, 4
Let j(r) = 2*r - 4. Let f be j(16). What is y in 8*y**3 + 3*y**3 - 36*y**5 - 3*y**3 - f*y**4 = 0?
-1, 0, 2/9
Let s(u) be the second derivative of -u**7/10080 + u**6/1440 - u**5/480 - 7*u**4/6 - 12*u. Let z(x) be the third derivative of s(x). What is d in z(d) = 0?
1
Let y = -2 - -10. Let v be (1 + (-14)/y)*(-58 + 54). Determine i so that -6*i**2 - 3/4 - 12*i**v + 21/4*i = 0.
-1, 1/4
Let m(k) = k**3 - 10*k**2 + 15. Let b be m(10). Factor b*q - 6*q**2 + 30*q**2 - 5*q**3 - 6 + 32*q**3 + 24*q**2.
3*(q + 1)**2*(9*q - 2)
Let x = 4 - 1. Factor -3*a**3 - 6*a**3 + 11*a**3 - 6*a + a**3 - x*a**2.
3*a*(a - 2)*(a + 1)
Let u(c) be the third derivative of 0*c**4 + 0*c**5 + 0*c**6 + 0*c**3 + 0 - 1/672*c**8 + 19*c**2 + 0*c + 1/420*c**7. Determine w, given that u(w) = 0.
0, 1
Let a(w) be the first derivative of -10/33*w**3 - 1/22*w**4 - 10 - 3/11*w**2 + 18/11*w. Factor a(c).
-2*(c - 1)*(c + 3)**2/11
Let q = 2 - 0. Suppose 20 = 5*m, u - m - q = -3. Solve -7*a**3 - u*a**2 - 2*a**4 + 0*a**2 + a**3 - a**4 = 0.
-1, 0
Let j be (-7)/8*((-768)/42 + (1 - -13)). Solve -j*s - 3*s**2 - 3/4 = 0.
-1, -1/4
Let d(u) be the first derivative of 2*u**4/3 - 74*u**3/9 + 70*u**2/3 + 50*u - 240. Suppose d(j) = 0. Calculate j.
-3/4, 5
What is c in -2/5*c**5 - 6/5 - 2/5*c + 12/5*c**2 + 4/5*c**3 - 6/5*c**4 = 0?
-3, -1, 1
Suppose 3*a = -0*a + 6. Suppose -4*w + 3*r = -2*w - 15, a*w - 12 = 2*r. What is z in -z**5 + 9 - 9 - 2*z**w + 3*z**4 = 0?
0, 1, 2
Factor 1830 + 4*q**2 - 1846 - q**3 - 3*q**3 + 16*q.
-4*(q - 2)*(q - 1)*(q + 2)
Let y(z) be the third derivative of -1/10*z**3 + 0*z + 0 - 1/60*z**4 + 1/300*z**5 + 30*z**2. What is g in y(g) = 0?
-1, 3
Let u(x) be the first derivative of -11 - 1/28*x**4 - 13/21*x**3 + 7*x - 5/2*x**2. Let u(a) = 0. Calculate a.
-7, 1
Let 154/17*t + 2/17*t**3 + 196/17 + 32/17*t**2 = 0. What is t?
-7, -2
Let f be -12 - (25 - (-4005)/(-105)). Fact