, 4
Let u(i) = i**3 - 16*i**2 + 16*i + 5. Let g be u(15). Find o, given that 27*o + 24*o + g*o - 75*o - 2*o**2 = 0.
-2, 0
Let l be -46*354/1357 - ((-106)/8 - -1). Factor -l*q**3 - 13718 - 1083*q - 57/2*q**2.
-(q + 38)**3/4
Let q(h) be the second derivative of -8*h**2 - 10/3*h**4 + 3/10*h**5 + 76*h + 0 - 31/3*h**3. Let q(t) = 0. What is t?
-1, -1/3, 8
Let u(d) be the second derivative of 0*d**2 - 10 + 0*d**3 - 1/48*d**4 + 1/80*d**5 - 2*d. Factor u(v).
v**2*(v - 1)/4
Let j be 69/(-46)*6/(-15). Let -j*n**3 + 24/5*n - 3/5*n**2 + 36/5 = 0. Calculate n.
-2, 3
Let i be (6/(-80))/(-1*(-111)/(-185)). Determine j so that 0 + 1/8*j**2 + 1/4*j**3 - 1/4*j - i*j**4 = 0.
-1, 0, 1, 2
Let t(g) be the first derivative of -g**4/20 - 17*g**3/5 - 867*g**2/10 - 75*g + 19. Let v(a) be the first derivative of t(a). Factor v(j).
-3*(j + 17)**2/5
Let g = 775 - 746. Suppose -g*h - 12 = -30*h + 5*i, 0 = 5*h + 5*i. Suppose 18/7*t**3 + 12/7 + 10*t + 76/7*t**h = 0. Calculate t.
-3, -1, -2/9
Let z(l) = -127*l + 19*l + 2*l - 48 - 19*l. Let c be z(-16). Factor 2480*f - c*f + 484*f**2 - 49 + 193.
4*(11*f + 6)**2
Suppose 5*l - 16 = -4*b - 0*l, -2*l = b - 4. Let g(r) be the second derivative of -b*r - 1/200*r**5 + 0*r**2 - 1/120*r**4 + 1/30*r**3 + 0. Factor g(h).
-h*(h - 1)*(h + 2)/10
Let x = 424 - 422. Factor -80*u**2 + 153*u**x - 78*u**2 - 5*u**3 + 4*u**3.
-u**2*(u + 5)
Suppose -13*p = -240 + 214. Determine r, given that -p*r**2 - 8*r + 23*r - 2*r**2 - 6*r - 48 - 37*r = 0.
-4, -3
Let s = 525882 + -3681168/7. Suppose -3*o - 6 = -5*o. Factor -3/7*l**o + 12/7*l - 24/7 + s*l**2.
-3*(l - 2)**2*(l + 2)/7
Let m(j) be the second derivative of -j**8/36960 + 7*j**6/3960 + j**5/110 - 20*j**4/3 - 4*j + 3. Let x(d) be the third derivative of m(d). Factor x(a).
-2*(a - 3)*(a + 1)*(a + 2)/11
Let o be 3156/22 - (-114)/209. Find w, given that -117*w**2 + 25*w**2 - 12*w - 36*w**3 + o + 10*w**4 - 8*w**4 - 6*w**4 = 0.
-4, -3, 1
Let v be -10 + (-110*6/(-54) - (-192)/(-864)). Factor -2/7*l**v - 4232/7 + 184/7*l.
-2*(l - 46)**2/7
Let g(w) = 2*w**2 + 6*w + 6. Let m = 35 - 38. Let y be g(m). Factor 22*f + 2 + 4 - y*f**2 + 0*f**2 + 2.
-2*(f - 4)*(3*f + 1)
Let o be (40/6)/((-2)/(-6)). Suppose -5*a = 5*y - 20, -12*a = -y - 8*a - 6. Solve 23*b**3 - o*b**5 + 45*b**3 + 11 - 85*b**y + 5 + 9*b**2 + 12*b**4 = 0 for b.
-2, -2/5, 1
Factor 3/5*k**2 + 1743/5 - 54*k.
3*(k - 83)*(k - 7)/5
Let g be -1*(-1 - -1 - -3) + 6 + 0. Let f(q) be the second derivative of q**g - 9/4*q**2 + 16*q + 0 - 1/8*q**4. Let f(y) = 0. What is y?
1, 3
Let 4/3*t**5 - 2*t - 1/3 - 8/3*t**2 + 2/3*t**3 + 3*t**4 = 0. What is t?
-1, -1/4, 1
Let c be (17/(-2) + 10)*(-1 - 63/(-54)). Determine w, given that 0 + c*w**2 + 2*w = 0.
-8, 0
Let r(n) be the third derivative of n**8/5040 + n**7/630 + 9*n**5/10 - 70*n**2. Let j(g) be the third derivative of r(g). Let j(q) = 0. What is q?
-2, 0
Let c be 169/(-65)*90/(-585). Factor 38/5*m + c*m**2 + 0.
2*m*(m + 19)/5
Let i be (-18)/(-7) - (-4)/1 - 1. Let x be (-7 + 6)/(8/16) + 32/7. Factor x - i*o - 15/7*o**2.
-3*(o + 3)*(5*o - 2)/7
Suppose 20 + 63/2*z + 109/8*z**2 + 1/8*z**4 + 9/4*z**3 = 0. What is z?
-8, -5, -4, -1
Let s(z) be the first derivative of -z**4/18 - 98*z**3/27 - 800*z**2/9 - 8704*z/9 + 855. Solve s(h) = 0.
-17, -16
Let p(f) = 45 + 45*f - 3 + 120 - 12 + 165. Let u be p(-7). Solve -2/7*b**3 + 4/7 + u*b**2 + 6/7*b = 0.
-1, 2
Let m be (-20 - 8/48*-42) + 4 + 11. Factor 44/7*r**3 - 528/7*r - 194/7*r**m - 288/7 - 2/7*r**4.
-2*(r - 12)**2*(r + 1)**2/7
Let t = -896 - -933. Let b(d) = d**3 - 37*d**2 - 2*d + 74. Let y be b(t). Solve 25*j**2 + 0 + y*j + 5/2*j**3 + 1/2*j**5 - 4*j**4 = 0.
-2, 0, 5
Let p(b) be the first derivative of 529*b**5/5 + 23*b**4/2 + b**3/3 - 239. Let p(k) = 0. What is k?
-1/23, 0
Let v(k) be the second derivative of k**7/1260 + k**6/90 + k**5/20 + k**4/3 - k**3/6 - 9*k - 2. Let r(u) be the third derivative of v(u). Factor r(n).
2*(n + 1)*(n + 3)
Let b(n) = 17*n**4 + 25*n**3 - n**2 - 59*n - 15. Let u(m) = 20*m**4 + 26*m**3 - 58*m - 10. Let c(x) = -6*b(x) + 5*u(x). Factor c(a).
-2*(a - 2)*(a + 1)**2*(a + 10)
Let a = -160147 - -32829951/205. Let k = -4/41 - a. Factor 4/5*m**2 - 24/5 - k*m.
4*(m - 3)*(m + 2)/5
Let q(h) be the first derivative of -3/2*h**4 - 227 + 0*h - 11/3*h**3 - 3*h**2 - 1/5*h**5. Suppose q(u) = 0. What is u?
-3, -2, -1, 0
Let k = 3249 - 97469/30. Let h(x) be the third derivative of 0*x**3 - k*x**6 + 0*x + 0 + 0*x**4 - 2/15*x**5 + 6*x**2. Determine r so that h(r) = 0.
-2, 0
What is l in 24*l**2 + 5*l**3 + 31*l**2 + 1541*l - 1771*l - 280 = 0?
-14, -1, 4
Let p be 30/(-112)*(-40)/90. Let j(r) be the third derivative of 0 - p*r**4 + 3*r**2 + 1/210*r**5 + 0*r + 25/21*r**3. Factor j(u).
2*(u - 5)**2/7
Let f(d) = -3*d**4 - 65*d**3 + 5048*d**2 - 4970*d - 5. Let k(n) = 4*n**4 + 96*n**3 - 7572*n**2 + 7456*n + 8. Let i(u) = 8*f(u) + 5*k(u). Factor i(h).
-4*h*(h - 20)*(h - 1)*(h + 31)
Let a = 208 - 206. Determine j, given that -25*j**2 + 4*j**2 - 6*j**3 - 42*j - 3*j**4 + 15 + 57*j**a = 0.
-5, 1
Suppose 618*r + 144 = 610*r. Let l be (50/(-75))/(0 + 10/r). Factor 12/5*b**3 + 6/5*b**4 - 6/5*b**5 - 12/5*b**2 - l*b + 6/5.
-6*(b - 1)**3*(b + 1)**2/5
Factor -243/5*j**2 - 37632/5 + 6048/5*j.
-3*(9*j - 112)**2/5
Suppose 6004 - 745 = -3*c. Let n = c + 3507/2. Find g such that -3/4*g + 1/4*g**3 + 0*g**2 + n = 0.
-2, 1
Let f(x) be the second derivative of 4*x**3 - 43*x + 8*x**2 + 3/20*x**5 + 1/120*x**6 + 13/12*x**4 + 0. Factor f(t).
(t + 2)**2*(t + 4)**2/4
Let k = 3050/531 - 820/177. Factor -16/9*v**2 + k*v**3 + 2/9*v + 4/9.
2*(v - 1)**2*(5*v + 2)/9
Suppose -316800*u**2 - 17280000 - 1/3*u**5 - 244/3*u**4 - 5472000*u - 7520*u**3 = 0. Calculate u.
-60, -4
Let h(o) be the second derivative of 7*o**6/120 - 41*o**5/40 + 95*o**4/48 + 61*o**3/6 + 15*o**2/2 + 3057*o. Find l, given that h(l) = 0.
-1, -2/7, 3, 10
Let w be (-15)/(-5) + 3 + 9 + -20. Let z be -14 - -15 - (w + 4). Factor z*h - 1/2*h**3 - h**2 + 4.
-(h - 2)*(h + 2)**2/2
What is u in -10 - 35*u**4 + 25*u + 411388*u**3 + 20*u**2 - 411413*u**3 + 25*u**2 = 0?
-1, 2/7, 1
Let j(h) = 10*h**5 - 3*h**4 - 4*h**3 + 6*h**2 - 3*h. Let x(q) = q**4 + 2*q**3 - q. Let k(o) = -j(o) + 3*x(o). Solve k(y) = 0 for y.
-1, 0, 3/5, 1
Let -1764/5*a - 714/5*a**2 + 0 + 16*a**3 - 2/5*a**4 = 0. What is a?
-2, 0, 21
Let h(w) be the third derivative of w**5/15 - 435*w**4 + 1135350*w**3 + 6*w**2 - 6*w - 7. Solve h(z) = 0 for z.
1305
Let j = -3736 + 3740. Let a(f) be the second derivative of -1/6*f**j + 0 + f**2 - 1/6*f**3 - 18*f + 1/20*f**5. Factor a(z).
(z - 2)*(z - 1)*(z + 1)
Let t(c) be the first derivative of 0*c**2 + 1/35*c**5 + 0*c + 0*c**4 - 33 - 3/7*c**3. Factor t(g).
g**2*(g - 3)*(g + 3)/7
Factor -7/2*c**2 + 0 - 3*c - 1/2*c**3.
-c*(c + 1)*(c + 6)/2
Suppose 0 = -4*f - z + 1, 2*f + 1 = -5*z + 6. Suppose f = -73*k + 1 + 218. Factor 8/3*t**4 + 4/3*t**2 + 0 + 0*t - 4*t**k.
4*t**2*(t - 1)*(2*t - 1)/3
Let a(y) be the second derivative of -y**6/15 - 21*y**5/2 - 1297*y**4/3 + 2844*y**3 - 5832*y**2 + 55*y + 1. Factor a(w).
-2*(w - 2)*(w - 1)*(w + 54)**2
Let n(j) be the second derivative of 7/30*j**6 + 19 + 23/20*j**5 + 2/3*j**3 + 5/3*j**4 - 4*j + 0*j**2. Factor n(g).
g*(g + 1)*(g + 2)*(7*g + 2)
Solve -278480/3 - 5/3*u**2 + 2360/3*u = 0.
236
What is i in -1/2*i**3 - 245/2 - 119/2*i - 19/2*i**2 = 0?
-7, -5
Suppose -3908*z = -53*z - 7710. Factor 59/4*n**z + 3/4*n**3 + 37/4*n - 19/4.
(n + 1)*(n + 19)*(3*n - 1)/4
Let c = 6/8533 - -264511/17066. Factor -c*h + 49/8*h**4 - 119/8*h**3 - 2 - 69/2*h**2.
(h - 4)*(h + 1)*(7*h + 2)**2/8
Let i = -289229/6 - -48205. Factor 11/3*o - i*o**2 - 7/2.
-(o - 21)*(o - 1)/6
Let d be (-170)/(-70) - 105/245. Suppose -4/9*p**d - 440/9*p - 12100/9 = 0. What is p?
-55
Suppose -24*o - 9*o = -360 + 228. Determine t so that 20/3*t - 8 + 28/3*t**2 - 20/3*t**3 - 4/3*t**o = 0.
-6, -1, 1
Let i(h) be the second derivative of -h**4/42 - 4196*h**3/21 - 4401604*h**2/7 - 1050*h. Let i(s) = 0. What is s?
-2098
Let s(t) be the first derivative of 4/3*t**4 - 1/2*t**5 + 4/3*t**3 + 32 + 0*t**2 + 42*t. Let y(a) be the first derivative of s(a). Factor y(f).
-2*f*(f - 2)*(5*f + 2)
Let m(d) be the second derivative of -d**7/6720 - d**6/2880 + 94*d**3/3 + 35*d. Let b(f) be the second derivative of m(f). Determine p, given that b(p) = 0.
-1, 0
Suppose 0 = -m - 4*x - 9, m - 