m be 2*(0 + 1) - d/(-15). Solve -3/2*c**4 + m*c**2 - 9/2*c**3 + 0*c + 0 = 0.
-3, 0
Let l(a) be the second derivative of -2*a**7/63 - 14*a**6/45 - 16*a**5/15 - 8*a**4/9 + 32*a**3/9 + 32*a**2/3 - 8573*a. Factor l(f).
-4*(f - 1)*(f + 2)**4/3
Let p = -162 + 227. Find b such that -16*b**3 - p*b**4 + 24*b**2 + 37*b**4 + 2*b**5 + 26*b**4 = 0.
-3, 0, 2
Let i(v) be the third derivative of 2*v**7/105 - 124*v**6/15 - 167*v**5/5 + 124*v**4/3 + 1000*v**3/3 + 48*v**2 + 11*v - 2. Solve i(l) = 0.
-2, -1, 1, 250
Let l(w) be the second derivative of -w**4/24 - 37*w**3/6 + 38*w**2 + 45*w. Suppose l(y) = 0. What is y?
-76, 2
Let o be ((-24)/33)/((-6)/33). Let h(s) be the second derivative of 0 + 0*s**3 - 1/42*s**o - 5*s + 1/7*s**2. Determine y so that h(y) = 0.
-1, 1
Factor -1/2*l**2 + 6*l + 0.
-l*(l - 12)/2
Factor 0 - 50/3*i - 10/3*i**3 + 5/3*i**4 - 65/3*i**2.
5*i*(i - 5)*(i + 1)*(i + 2)/3
Let c = 14 + -9. Let y = c + 15. Factor 3*g**4 - 5*g**5 + 3*g**4 + 29*g**4 + 125*g**2 - 95*g**3 - 80*g + y.
-5*(g - 2)**2*(g - 1)**3
Let n be (17/(-51))/((-2 - -4)/(-12)). Let a = 35234/3609 - -6/401. Factor -4/3*q**3 + 140/9*q**n + 0 - a*q.
-4*q*(q - 11)*(3*q - 2)/9
Let s(g) be the second derivative of -g**4/18 - 13*g**3/3 + 40*g**2/3 + 34*g - 6. Factor s(q).
-2*(q - 1)*(q + 40)/3
Let h(f) = 2*f**4 + 12*f**3 - 14*f**2 - 6*f. Let w(d) = 10*d**4 + 60*d**3 - 70*d**2 - 32*d. Let p = -264 + 267. Let c(x) = p*w(x) - 16*h(x). Solve c(u) = 0.
-7, 0, 1
Let n = -28407/13 - -56931/26. Factor -93*j**2 - 261/2*j - 33 + n*j**3.
3*(j - 22)*(j + 1)*(3*j + 1)/2
Let u be 4/(-5 - -13)*10. Suppose -2*q + 25 = 2*q - t, 0 = -u*q + 5*t + 50. Factor -q*b**3 + b**4 - 5*b**4 - b**4 - 15*b - 12*b**2 + 37*b**2.
-5*b*(b - 1)**2*(b + 3)
Let b = 176989/707940 - 1/176985. Let 1/2*t**2 - 3/4*t**3 + 0*t + b*t**4 + 0 = 0. What is t?
0, 1, 2
Suppose 0 = -5*p - 3*p. Let x be (p - -1)/5 + 84/30. Solve x*d**3 + 3*d**3 + 4*d**5 - 11*d**3 + 10*d**2 - 10*d**4 + d**5 = 0 for d.
-1, 0, 1, 2
Let d(i) be the third derivative of 0*i + 1/6*i**3 + 0 - 1/120*i**5 - 1/48*i**4 + 55*i**2. Factor d(o).
-(o - 1)*(o + 2)/2
Factor -1/3*l**3 + 4/3*l**2 - 1/6*l**4 + 3*l + 3/2.
-(l - 3)*(l + 1)**2*(l + 3)/6
Suppose 2834*w**2 + 12328/3*w - 4232/3 + 668/3*w**3 + 14/3*w**4 = 0. What is w?
-23, -2, 2/7
Let c(y) = y**4 + 3*y**3 - 45*y**2 + 77*y - 30. Let m be 1*((-4)/(-8))/((-1)/(-2)). Let o(z) = 1. Let n(f) = m*c(f) - 6*o(f). Factor n(k).
(k - 4)*(k - 1)**2*(k + 9)
Let d = -159 - -19. Let l be d/42*(-48)/220. Suppose -2/11*w**3 - 8/11*w - l*w**2 + 0 = 0. Calculate w.
-2, 0
Let w(h) = 2*h**5 - h**2 + 2*h. Let c(d) = -9*d**5 - 29*d**4 - 81*d**3 - 75*d**2 - 34*d. Let a(z) = c(z) + 4*w(z). Factor a(n).
-n*(n + 1)**3*(n + 26)
Let q = 282 - 155. Suppose 19044 + 92*i**2 - q*i - 425*i - 88*i**2 = 0. Calculate i.
69
Suppose 130315*c - 17995*c - 12*c**4 - 320*c**3 + 114075 - 2070*c**2 + 7*c**4 = 0. Calculate c.
-39, -1, 15
Suppose 13*z - 2668 = 6367. Let j = -693 + z. Determine t, given that -16/7 + 12/7*t**3 + 20/7*t**j - 16/7*t = 0.
-2, -2/3, 1
Suppose 0 = 4*r - 5*h + 141, -2*h + 111 = -9*r + 6*r. Let k be 7/((-252)/16) - 26/r. Find g such that 1/9*g + k - 1/9*g**2 = 0.
-1, 2
Let j(w) be the second derivative of -2/15*w**6 + 85*w - 2*w**3 - w**5 + 0*w**2 - 7/3*w**4 + 0. Determine v so that j(v) = 0.
-3, -1, 0
Let z(q) be the second derivative of q**5/12 - 2615*q**4/4 + 4102935*q**3/2 - 6437505015*q**2/2 + 2*q - 1490. Let z(l) = 0. What is l?
1569
Let w be 1 - 9175/1670 - -6. Let a = -1/167 + w. What is k in -27*k**5 + a - 81/4*k**2 - 9/4*k + 57/4*k**3 + 135/4*k**4 = 0?
-2/3, -1/3, 1/4, 1
Let c(d) be the third derivative of 2*d**7/525 - 851*d**6/150 - 342*d**5/5 - 5138*d**4/15 - 13712*d**3/15 + 7*d**2 - 132. Factor c(j).
4*(j - 857)*(j + 2)**3/5
Let t(j) be the first derivative of 28/3*j**2 - 196/3*j + 63 - 4/9*j**3. Solve t(b) = 0.
7
Let l = -9716/9 + 1080. Let f = 25/36 - l. Suppose -f*y + 1/4 + 1/4*y**3 - 1/4*y**2 = 0. Calculate y.
-1, 1
Factor -200/7 + 58/7*m - 2/7*m**2.
-2*(m - 25)*(m - 4)/7
Let s be (-78)/(-210) - (-2)/10. Let z = -710462 - -4973258/7. Solve -12/7*m + 0 - z*m**3 + 32/7*m**2 + s*m**5 + 0*m**4 = 0.
-3, 0, 1
Let p(f) = -f**2 - f. Let z(y) = 3*y**2 - 73*y - 340. Let u(i) = -5*p(i) - z(i). Factor u(m).
2*(m + 5)*(m + 34)
Let m = -327 + 243. Let u be (-16765)/(-98) - 36/m. Factor 42*q + u*q**3 + 147*q**2 + 4.
(7*q + 2)**3/2
Suppose -88/5*t**2 + 1/5*t - 1/5*t**3 + 88/5 = 0. What is t?
-88, -1, 1
Let i(b) be the third derivative of -b**6/30 - b**5/15 + 41*b**4/6 + 70*b**3 - 5993*b**2. Suppose i(a) = 0. What is a?
-5, -3, 7
Let y = -47302 + 331119/7. Let 1/7*k**4 - 10/7 + 17/7*k - y*k**3 - 3/7*k**2 = 0. What is k?
-2, 1, 5
Let w be -31*(11101/(-527) - -21). Let y(j) be the first derivative of 1/3*j**w - 34 + 1/9*j**3 + 1/3*j. Let y(n) = 0. What is n?
-1
Let w(p) be the first derivative of 0*p**2 - 22*p - 10 + 5/12*p**4 + 1/4*p**5 + 0*p**3. Let x(h) be the first derivative of w(h). Factor x(i).
5*i**2*(i + 1)
Let q be (52416/(-280))/(-2) + -36. Factor -194/5*t**3 + 44/5*t**4 - 528/5*t**2 + 0 - 2/5*t**5 - q*t.
-2*t*(t - 12)**2*(t + 1)**2/5
Let c(i) = -6*i**2 - 8177*i - 2790688. Let p(f) = 3*f**2 + 4088*f + 1395340. Let n(o) = -4*c(o) - 7*p(o). Solve n(z) = 0 for z.
-682
Let v be (8 + (-272)/40)/(6/20). Let w(g) be the second derivative of 0 - 3/8*g**2 + 1/16*g**3 + 7*g + 1/32*g**v. Determine d so that w(d) = 0.
-2, 1
Let j(u) be the third derivative of u**7/3360 + u**6/960 - u**5/80 - 11*u**4/12 + 2*u**2. Let n(y) be the second derivative of j(y). Find g such that n(g) = 0.
-2, 1
Let z = -216 - -224. Suppose 5*p - q + 4 = -0*q, 0 = -2*p + 2*q - z. Factor 1/2*t + p - 1/2*t**2.
-t*(t - 1)/2
Determine u so that 0 + 34/3*u**2 - 104/9*u = 0.
0, 52/51
Let x(r) be the first derivative of 3*r**4/28 + 116*r**3/7 - 2169*r**2/14 + 3294*r/7 - 463. Factor x(h).
3*(h - 3)**2*(h + 122)/7
Let 34/11*m**3 + 0 + 120/11*m + 152/11*m**2 + 2/11*m**4 = 0. What is m?
-10, -6, -1, 0
Let h(q) be the second derivative of -q**5/35 - 257*q**4/21 + 5290*q**3/21 - 13350*q**2/7 + 5915*q. Factor h(j).
-4*(j - 5)**2*(j + 267)/7
Let x(v) be the second derivative of -v**7/6720 - v**6/64 - 45*v**5/64 + 13*v**4/2 - 5*v + 8. Let f(t) be the third derivative of x(t). Factor f(n).
-3*(n + 15)**2/8
Let n(a) be the second derivative of -142*a + 1/70*a**5 + 1/42*a**4 + 0 - 1/147*a**7 + 0*a**3 + 0*a**2 - 1/105*a**6. Factor n(q).
-2*q**2*(q - 1)*(q + 1)**2/7
Let i = -238 - -241. Let x = 10 - 8. Determine s, given that -5 - 91 - 18*s**x - i*s**3 - 96*s + 6*s**2 - 18*s**2 = 0.
-4, -2
Let n(p) be the second derivative of 25*p**7/14 + 13*p**6/2 - 261*p**5/10 - 77*p**4 + 196*p**3 + 9645*p. Suppose n(x) = 0. Calculate x.
-14/5, 0, 1, 2
Let g be 741/104 + 4 - 11. Factor -11/8*d**2 - 1/8*d + 11/8 + g*d**3.
(d - 11)*(d - 1)*(d + 1)/8
Let h(o) be the first derivative of 5*o**4/24 + 37*o**3/6 - 158*o**2/3 + 72*o + 4786. Solve h(m) = 0 for m.
-27, 4/5, 4
Let i(l) be the first derivative of 4*l**5/5 + 17*l**4/3 + 40*l**3/3 + 8*l**2 - 37*l - 130. Let w(t) be the first derivative of i(t). Factor w(a).
4*(a + 2)**2*(4*a + 1)
Let a be (-183)/122*(1 - 3). Factor 20*b**5 + 100 + 31 + 68*b**4 + 644*b + 65 - 16*b**5 + 376*b**a + 760*b**2.
4*(b + 1)**3*(b + 7)**2
Let v(x) be the third derivative of -x**8/1008 - 2*x**7/315 - x**6/360 + 7*x**5/90 + 5*x**4/18 + 4*x**3/9 + 4927*x**2. What is u in v(u) = 0?
-2, -1, 2
Let j(n) be the second derivative of -n**7/2520 + n**6/540 + n**5/360 - n**4/36 + 13*n**3/2 + 2*n + 11. Let a(c) be the second derivative of j(c). Factor a(t).
-(t - 2)*(t - 1)*(t + 1)/3
Let t(u) be the first derivative of -2*u**6/3 - 8*u**5/5 + 15*u**4 + 48*u**3 - 7572. Determine n, given that t(n) = 0.
-3, 0, 4
Let x(w) be the first derivative of 2*w**5/25 - 3*w**4/5 - 142*w**3/15 + 48*w**2 + 640*w - 812. Factor x(m).
2*(m - 8)**2*(m + 5)**2/5
Let q(f) be the first derivative of f**4/12 + f**3/3 - 5*f**2/3 + 1291. Factor q(h).
h*(h - 2)*(h + 5)/3
Let w(u) be the third derivative of 0*u**5 + 3/220*u**6 - 2/385*u**7 + 0*u**3 + 0 + 1/1848*u**8 + u - 108*u**2 + 0*u**4. Factor w(n).
2*n**3*(n - 3)**2/11
Factor 2/7*a**2 + 74 + 88/7*a.
2*(a + 7)*(a + 37)/7
Let s(g) = 2*g**2 + g + 2. Let b be s(-2). Factor -29 + b*f + f**2 + 54 - 25.
f*(f + 8)
Let k be -249 + (3 - (-13 - -6)). Let o = k + 1198/5