**7/1575 + z**6/75 - 7*z**5/225 + z**4/36 - 22*z**2. Let w(g) = 0. What is g?
-5, 0, 1
Let z(x) be the second derivative of x**5/80 + x**4/12 - x**3/6 - 2*x**2 - 43*x - 1. Suppose z(v) = 0. What is v?
-4, -2, 2
Let l(h) be the third derivative of h**9/90720 - h**7/7560 + h**5/720 - h**4/6 + 11*h**2. Let c(b) be the second derivative of l(b). Factor c(d).
(d - 1)**2*(d + 1)**2/6
Let u(f) = 5*f**3 + 4*f**2 - 6*f - 12. Let k(g) = 6*g**3 + 5*g**2 - 7*g - 14. Let j(w) = 6*k(w) - 7*u(w). Suppose j(o) = 0. What is o?
-2, 0
Let h = 58315 - 524833/9. Factor h*d**4 + 14/9*d**2 + 10/9*d**3 + 2/3*d + 0.
2*d*(d + 1)**2*(d + 3)/9
Let t(q) be the second derivative of 3*q**5/10 + q**4/9 - q**3 - 2*q**2/3 + 131*q. Let t(h) = 0. Calculate h.
-1, -2/9, 1
Suppose -35 = -15*m + 10*m. Solve 5 - m*x + 5*x**2 + 37*x - 5 = 0 for x.
-6, 0
Let f = -1353 - -446491/330. Let d(z) be the third derivative of 3*z**2 + 1/33*z**4 + 1/11*z**3 + f*z**5 + 0*z + 0. Factor d(u).
2*(u + 1)*(u + 3)/11
Let r(c) be the first derivative of 2*c**5/35 - 5*c**4/14 + 4*c**3/21 + 20*c**2/7 - 48*c/7 + 261. What is x in r(x) = 0?
-2, 2, 3
Let t = -7151 + 7151. Find u such that t - 1/2*u**3 + 1/4*u**4 - 1/4*u**2 + 1/2*u = 0.
-1, 0, 1, 2
Let z = -15 + 20. Factor -15*a**3 - 5*a - 12*a**4 + z*a + 21*a**2 + 6*a.
-3*a*(a - 1)*(a + 2)*(4*a + 1)
Let x(t) be the second derivative of -t**5/10 + 5*t**4/2 + t**3/3 - 15*t**2 - 4*t. Factor x(h).
-2*(h - 15)*(h - 1)*(h + 1)
Let s = -289 - -291. Let t(z) be the third derivative of s*z**2 + 1/30*z**4 - 1/75*z**6 + 0 - 7/150*z**5 + 0*z + 0*z**3. Find n such that t(n) = 0.
-2, 0, 1/4
Let s(z) = -1. Let d(n) = 23 + 17 + 26 + 6*n - 62 - 2*n**2. Let m(t) = -d(t) - 4*s(t). Suppose m(j) = 0. Calculate j.
0, 3
What is z in -318*z + 434*z - 24 - 9*z**3 - 28*z**2 - 6*z**2 = 0?
-6, 2/9, 2
Suppose -55/6*y + 5/3*y**3 + 25/6*y**2 + 10/3 = 0. Calculate y.
-4, 1/2, 1
Let v = -49/230 - -19/46. Let x(h) be the first derivative of -2/25*h**5 + 0*h + 0*h**3 - 1/15*h**6 + v*h**4 - 6 + 0*h**2. Factor x(s).
-2*s**3*(s - 1)*(s + 2)/5
Suppose -62 = -3*m + 46. Let c = m - 33. Determine z so that -c*z**2 + 2*z**2 - 4*z**2 + z**2 + 4 = 0.
-1, 1
Let j(h) = 232*h + 464. Let c be j(-2). Let 1/2*p + c - 1/2*p**2 = 0. What is p?
0, 1
Let b(s) be the first derivative of s**6 + 3*s**5 - 9*s**4/4 - 8*s**3 + 6*s**2 + 65. Determine d, given that b(d) = 0.
-2, 0, 1/2, 1
Suppose -1250/7 + 100/7*p - 2/7*p**2 = 0. What is p?
25
Let z(m) = m**3 + m**2 - m. Let h(t) = -6*t**4 - 33*t**3 + 27*t**2 - 6*t. Let i(b) = h(b) - 6*z(b). Find q, given that i(q) = 0.
-7, 0, 1/2
Let h = -39 - -39. Let t be 188/20 + (h + -3)*1. Find a, given that 16/5*a + t*a**2 + 2/5 = 0.
-1/4
Let b be -11 - 42/(-7) - -11. Let a(k) be the third derivative of -1/480*k**b + 2*k**2 + 1/96*k**4 + 0*k**5 + 0 + 0*k + 0*k**3. Suppose a(q) = 0. Calculate q.
-1, 0, 1
Determine x, given that 0*x**2 + x**2 + 28*x - 2*x**2 - 14*x + 15 = 0.
-1, 15
Let w(q) be the first derivative of q**6/90 - q**4/18 + q**2/6 - 54*q + 11. Let p(m) be the first derivative of w(m). Factor p(v).
(v - 1)**2*(v + 1)**2/3
Let y = 39 - 35. Factor 9*m - 108*m**5 + 44*m**3 + 48*m**2 - 120*m**4 - 25*m + 12*m**5 - y*m**5.
-4*m*(m + 1)**2*(5*m - 2)**2
Let x(o) = -o**4 - 1. Suppose b = 2*z + 12, 20 = -2*z - 0*b + 3*b. Let n(t) = -3*t**4 - t**3 - t**2 + t - 4. Let m(i) = z*x(i) + n(i). Factor m(c).
c*(c - 1)**2*(c + 1)
Suppose 0 = -4*b + 5*y - 15, 3*b + 3*y = 8*b + 9. Factor 2/5*v**2 + b*v + 0.
2*v**2/5
Let h(o) be the second derivative of -o**5/4 + 15*o**4/4 + 100*o**3 + 680*o**2 - o - 115. Find p such that h(p) = 0.
-4, 17
Let z(a) be the first derivative of -7*a**6/15 + a**5/5 + 7*a**4/6 - 2*a**3/3 - 10*a + 12. Let w(b) be the first derivative of z(b). Factor w(d).
-2*d*(d - 1)*(d + 1)*(7*d - 2)
Suppose 40*q = 39*q. Factor 3*d - 6*d**3 + q*d**4 - 4*d + 3*d**2 + 3*d**3 + d**4.
d*(d - 1)**3
Suppose 131*q**4 + 2*q**3 - 115*q**4 - 4*q**2 + 10*q**5 + 2*q**2 - 2*q**2 = 0. What is q?
-1, 0, 2/5
Let b(u) be the third derivative of u**7/28 + 3*u**6/40 + u**5/40 + 2*u**2 + 313*u. Factor b(t).
3*t**2*(t + 1)*(5*t + 1)/2
Let w(k) be the second derivative of k**5/20 - 3*k**4/4 + k**3 + 8*k**2 + 69*k. Suppose w(c) = 0. What is c?
-1, 2, 8
Let y(f) be the second derivative of f**4/48 - 23*f**3/3 + 1058*f**2 + 27*f + 3. Determine c, given that y(c) = 0.
92
Let f(b) = 6*b**3 + 33*b**2 - 63*b + 12. Suppose -27 = 3*q - 9. Let y(a) = -13*a**3 - 66*a**2 + 125*a - 24. Let m(w) = q*y(w) - 11*f(w). Factor m(n).
3*(n - 1)*(n + 4)*(4*n - 1)
Let r(a) be the first derivative of -a**3/4 - 3*a**2/2 - 3*a - 4. Factor r(h).
-3*(h + 2)**2/4
Suppose 10*o - 2*o - 64 = 0. What is d in -o*d**3 - 110*d**4 - 25*d**5 - 20*d**3 - 12*d**3 = 0?
-4, -2/5, 0
Let z = -2 + 6. Suppose -5*v = 14 + 6, -5*v = -z*k + 32. Find t, given that 18*t**2 - 36*t - 4*t**k + 27 + 1/3*t**4 = 0.
3
Let n = -944/11 + 15766/165. Let f = 52/5 - n. Find r such that 6*r**2 + 26/3*r**3 + 10/3*r**4 - f*r - 4/3 = 0.
-1, 2/5
Let i = 329/4 - 81. Let p(d) be the first derivative of -i*d**2 - 1/2*d - 5/4*d**4 - 5/3*d**3 - 1/2*d**5 + 4 - 1/12*d**6. What is o in p(o) = 0?
-1
Factor 115/4*k**2 - 14*k + 1.
(5*k - 2)*(23*k - 2)/4
Suppose 104*t - 113*t + 27 = 0. Factor 4/5*g**4 + 2/5*g**5 - 4/5 - 4/5*g**t - 14/5*g - 16/5*g**2.
2*(g - 2)*(g + 1)**4/5
Let a(h) be the first derivative of 25*h**4/16 + 65*h**3/4 + 63*h**2 + 108*h - 434. Find x such that a(x) = 0.
-3, -12/5
Let c(o) be the second derivative of -17*o**4/36 - 7*o**3/9 + o**2/2 + 135*o. Factor c(b).
-(b + 1)*(17*b - 3)/3
Let p(g) be the second derivative of -1/2*g**2 - 5/12*g**4 - 10*g + 2/3*g**3 + 1/10*g**5 + 0. Factor p(r).
(r - 1)**2*(2*r - 1)
Factor 49/3*r**3 + 88/3 + 350*r**2 - 204*r.
(r + 22)*(7*r - 2)**2/3
Suppose p + 3*c - 21 = 0, p - 5*c + 460 = 433. Factor 0*l + 0 + 3/5*l**p - 12/5*l**2.
3*l**2*(l - 4)/5
Let i(x) be the second derivative of 3*x**5/10 - 5*x**4/3 + 3*x**3 - 2*x**2 - 89*x. Find c, given that i(c) = 0.
1/3, 1, 2
Let o(c) be the second derivative of c**4/42 + 4*c**3/21 - 5*c**2/7 + c + 29. Factor o(b).
2*(b - 1)*(b + 5)/7
Suppose -50*x - 50*x - 30 = -115*x. Let 2/17*r + 4/17*r**x + 0 + 2/17*r**3 = 0. Calculate r.
-1, 0
Let v = 2314/11595 - -1/2319. Factor v*b**4 - 3/5*b**2 + 2/5 + 1/5*b**3 - 1/5*b.
(b - 1)**2*(b + 1)*(b + 2)/5
Let b(n) be the second derivative of -1/15*n**6 + 1/3*n**4 + 0 + 0*n**2 + 4*n - 2/3*n**3 - 1/42*n**7 + 3/20*n**5. Factor b(h).
-h*(h - 1)**2*(h + 2)**2
Let m(t) be the second derivative of 1/4*t**4 - 1/2*t**3 + 0 + 0*t**2 - 9*t. Factor m(o).
3*o*(o - 1)
Let j(z) be the first derivative of z**8/84 + 8*z**7/105 + z**6/5 + 4*z**5/15 + z**4/6 - 7*z**2 - 4. Let o(r) be the second derivative of j(r). Factor o(n).
4*n*(n + 1)**4
Let c(l) be the first derivative of -l**4/6 + 5*l**3/9 - l**2/2 - 124. Factor c(k).
-k*(k - 1)*(2*k - 3)/3
Suppose -11*z + 6*z + 25 = 0. Let 5*o - 2*o**2 - z*o**3 - 6*o**2 - 2*o**2 - 4 + 14 = 0. What is o?
-2, -1, 1
Let j(y) be the second derivative of 1/4*y**2 + 0 - 16*y - 1/24*y**4 + 0*y**3. Factor j(l).
-(l - 1)*(l + 1)/2
Let r(g) be the first derivative of 4*g**5/5 - 5*g**4 - 16*g**3/3 + 40*g**2 + 22. What is l in r(l) = 0?
-2, 0, 2, 5
Suppose -372 = -159*j + 105. Let -1/4*o + 0*o**j + 1/8*o**4 - 3/8*o**2 + 0 = 0. What is o?
-1, 0, 2
Suppose 12*d**2 + 6*d + 0 + 9/2*d**3 = 0. Calculate d.
-2, -2/3, 0
Let f be (-6)/27 + (82/(-1845))/((-2)/10). Let -2/3*n**2 + f + 4/3*n = 0. Calculate n.
0, 2
Let c(r) be the third derivative of -r**6/300 + 7*r**5/150 - 12*r**3/5 - r**2 - 54*r. Factor c(t).
-2*(t - 6)*(t - 3)*(t + 2)/5
Let r(w) be the second derivative of w**5/20 + 13*w**4/16 + 15*w**3/4 - 25*w**2/8 - 110*w. Factor r(h).
(h + 5)**2*(4*h - 1)/4
Let g be (4 + (-316)/56)*-366. Let h = -597 + g. Suppose 272/7*l**4 - 480/7*l**5 + 258/7*l**3 - 4/7 - 16/7*l**2 - h*l = 0. What is l?
-1/3, -1/4, 2/5, 1
Suppose -2*p + 20 - 3 = 5*l, -4*p = 3*l - 55. Let o be (-104)/(-14) - 64/p. Determine b so that 15*b**5 - 408/7*b**4 - 102/7*b**2 + 465/7*b**3 - 12*b + o = 0.
-2/5, 2/7, 1, 2
Let f(x) be the second derivative of -2*x**6/105 + 3*x**5/35 + x**4/7 - 2*x**3/3 - 12*x**2/7 + 60*x - 3. Suppose f(g) = 0. Calculate g.
-1, 2, 3
Let u(p) be the second derivative of 1/60*p**5 - 2/9*p**3 - 2*p + 2/3*p**2 - 1/36*p**4 + 0. Factor u(z).
(z - 2)*(z - 1)*(z 