 + 1299*y - 2559*y = 0. Determine i so that 174*i**2 + 147/4*i**5 - 333*i**3 - 24*i + y + 105/2*i**4 = 0.
-4, 0, 2/7, 2
Let g(h) be the second derivative of -12 + 190*h**2 + 385/6*h**3 + h + 5/12*h**4. Factor g(p).
5*(p + 1)*(p + 76)
Let o(v) = 5*v**3 + 11688*v**2 + 15557*v + 5184. Let q(h) = 4*h**3 - 12*h**2 - h. Let k(c) = 3*o(c) + 3*q(c). Factor k(d).
3*(d + 1296)*(3*d + 2)**2
Let m(g) be the first derivative of 0*g + 4/3*g**3 - 1/2*g**4 + 0*g**2 + 30. Factor m(o).
-2*o**2*(o - 2)
Let t(i) be the first derivative of i**3 - 27*i**2 + 96*i + 4327. Suppose t(h) = 0. What is h?
2, 16
Let l be 10/(-20)*(-4 + 40/((-10)/(-1))). Determine a so that l - 2/23*a**3 + 0*a + 2/23*a**2 = 0.
0, 1
Let m be ((-22)/(-1023))/((-8)/(-62)). Factor -2*r + 11/6 + m*r**2.
(r - 11)*(r - 1)/6
Let h(t) be the first derivative of 8/15*t**3 - 8/5*t**2 - 1/20*t**4 + 182 + 0*t. Let h(y) = 0. What is y?
0, 4
Let u(w) be the second derivative of w**7/3780 + w**6/90 + 17*w**5/540 + w**3/3 - 3*w**2 + 83*w. Let s(i) be the second derivative of u(i). Factor s(j).
2*j*(j + 1)*(j + 17)/9
Let s be (-5)/(-3) - (-6)/18. Let u be (-9 - 0/s)/(-3). Factor -24*p**2 - 20*p**u + 24*p**4 + 16*p - 15*p**4 + 32 - 13*p**4.
-4*(p - 1)*(p + 2)**3
Suppose -21*d + 4*d + 51 = 0. Let n(l) = -4*l + 14. Let g be n(d). Factor w**g - 4/3*w**3 + 0 + 1/3*w.
-w*(w - 1)*(4*w + 1)/3
Let b = -722 + 725. Let o(x) be the first derivative of 3/4*x**2 - 1/2*x**b + 9*x - 14. Suppose o(j) = 0. Calculate j.
-2, 3
Suppose -38*o = -16*o - 7*o. Let p(x) be the first derivative of 16/9*x**2 - 2/45*x**5 - 7/18*x**4 - 16/27*x**3 + o*x - 10. What is r in p(r) = 0?
-4, 0, 1
Let x be 12 + (-21285)/1422 + 3. Let z = 173/474 - x. Determine c, given that -1/3*c**2 - z*c**4 - c**3 + 2/3 + c = 0.
-2, -1, 1
Factor 564/7 - 80/21*w**2 - 694/21*w + 2/21*w**3.
2*(w - 47)*(w - 2)*(w + 9)/21
Let s(f) be the second derivative of -f**6/75 - 78*f**5/25 - 2079*f**4/10 - 11858*f**3/15 + 372*f. Let s(a) = 0. What is a?
-77, -2, 0
Let o be (0 - -18) + 7740/(-495). Suppose 6/11 - 8/11*l**4 + 2/11*l**2 - 26/11*l**3 + o*l = 0. Calculate l.
-3, -1, -1/4, 1
Let c(w) = 462*w**2 - 259184*w + 1126. Let f be c(561). Factor 21/5*x**2 - 1/5*x**f + 11/5*x + 0 + 9/5*x**3.
-x*(x - 11)*(x + 1)**2/5
Let u(w) be the third derivative of -w**7/1260 - w**6/90 - 11*w**5/180 - w**4/6 + 56*w**3/3 - 130*w**2. Let d(k) be the first derivative of u(k). Factor d(b).
-2*(b + 1)*(b + 2)*(b + 3)/3
Let s be 1 - ((-36)/(-216))/(2/(-12)). Factor 2*j**4 - 8*j**2 + 11*j**2 - 18*j**2 - 1 - 12*j**3 - 22*j - 13*j**s + 2*j**5 - 5.
2*(j - 3)*(j + 1)**4
Let w be (-4)/6*(5 - -1051)/4. Let i be 738/w + 6/16 - -4. Suppose 2/11*n**3 + 0*n**2 + i*n**5 + 0*n + 4/11*n**4 + 0 = 0. Calculate n.
-1, 0
Factor 84/11*j**2 - 342/11*j - 6/11*j**3 + 432/11.
-6*(j - 8)*(j - 3)**2/11
Suppose 4*s + 38 = 102. Suppose -4*k = s, 16 = -3*p - 11*k + 7*k. Find a such that 1/3*a**3 + p*a - a**2 + 4/3 = 0.
-1, 2
Let t(x) = x**3 + 4*x**2 - 6*x - 22. Let u be t(-4). What is n in -30*n**2 - 26*n**2 - 4 + 4 + 57*n + 53*n**u = 0?
0, 19
Let y(g) be the first derivative of -24*g**5/5 - 765*g**4/2 - 64513*g**3/8 + 3060*g**2 - 384*g + 1199. Factor y(p).
-3*(p + 32)**2*(8*p - 1)**2/8
Let c(k) = 8*k**3 + 2*k**2 + 3*k + 3. Let y(h) = -25*h**3 - 5*h**2 - 10*h - 10. Let p = 25 - 58. Let l = p + 43. Let i(b) = l*c(b) + 3*y(b). Factor i(v).
5*v**2*(v + 1)
Let g = -8886 - -8889. Let p(h) be the first derivative of 3/2*h**2 - 3/4*h**4 - g + 0*h**3 + 0*h. Factor p(x).
-3*x*(x - 1)*(x + 1)
Let l(u) be the first derivative of u**4/14 + 2094*u**3/7 + 3288627*u**2/7 + 2295461646*u/7 + 3651. Factor l(d).
2*(d + 1047)**3/7
Suppose -271*y + 275*y - 4*a = -36, 2*y - a + 6 = 0. Solve -1/3 + 1/3*l**y + 1/3*l**2 - 1/3*l = 0.
-1, 1
Let m be (6 + (-129)/24)*(-12)/(-10). Let j be (-119)/(-85)*5 - 2. Factor -m*o**3 + 0*o**4 + 3/8*o**j + 3/8*o + 0*o**2 + 0.
3*o*(o - 1)**2*(o + 1)**2/8
Let w(s) = -s**3 - 2. Suppose 0 = -3*a - 204 + 192. Let z(v) = 3*v**3 - 22*v**2 + 121*v + 4. Let i(n) = a*w(n) - 2*z(n). Factor i(f).
-2*f*(f - 11)**2
Suppose -491*h - 63 = -487*h + 9*d, 2*h - 5*d = 35. Determine f, given that -2*f + 1/4*f**5 + 3*f**2 - 3/4*f**4 + h - 1/2*f**3 = 0.
-2, 0, 1, 2
Factor 669/2*b - 3/4*b**2 + 1341/4.
-3*(b - 447)*(b + 1)/4
Let m(l) be the third derivative of -l**5/60 + 38*l**4/3 + 88*l**2 + 2*l. Find b, given that m(b) = 0.
0, 304
Let q = -45489/10 + 4549. Let f(z) be the third derivative of -q*z**3 - 20*z**2 - 1/60*z**5 + 0 - 7/120*z**4 - 1/600*z**6 + 0*z. Solve f(p) = 0.
-3, -1
Let t(k) = -5*k**3 - 59*k**2 - 303*k + 375. Let g(i) = 8*i**3 + 119*i**2 + 609*i - 750. Let w(j) = -4*g(j) - 7*t(j). Let w(m) = 0. Calculate m.
-5, 1, 25
Suppose -2*p - 4 = 4*q, -52*p + 47*p = -5*q - 65. Determine a, given that -48/5*a**4 - 4/5*a**5 + p + 84/5*a - 16*a**3 + 8/5*a**2 = 0.
-10, -1, 1
Suppose -566*n = -562*n - 120. Suppose -11*h = -n*h. Factor 0*v**3 + 1/5*v**5 + 0 + 0*v - 8/5*v**4 + h*v**2.
v**4*(v - 8)/5
Let g(z) be the second derivative of z**4/6 - 35*z**3/3 + 306*z**2 + 4682*z. Factor g(r).
2*(r - 18)*(r - 17)
Suppose 0 = -2*o + 3*o + 3*c - 261, -791 = -3*o - c. Factor -k + 4*k**2 + 7*k + 207*k + 55*k + o.
4*(k + 1)*(k + 66)
Let s(d) be the second derivative of 3/2*d**2 + 4*d**4 + 0 - 4*d**3 + 37*d. Factor s(b).
3*(4*b - 1)**2
Factor 1/10*o**2 + 2660161/10 + 1631/5*o.
(o + 1631)**2/10
Suppose -3/4*x**3 + 7714059/4 + 1233/4*x**2 - 168921/4*x = 0. What is x?
137
Suppose -4*k = -k - 405. Let h = k - 79. Solve -50*p**3 - h*p + 0*p**5 - 16 - 16*p**4 - 2*p**5 - 76*p**2 + 0*p**5 = 0 for p.
-2, -1
Let l(u) be the second derivative of -u**5/20 - 19*u**4/8 + 10*u**3 + 18*u**2 - 99*u. Let a(p) be the first derivative of l(p). Factor a(x).
-3*(x - 1)*(x + 20)
Let s be 6/4*-1*(-20)/10. Let n be (-44)/297*(-5)/(10/s). Factor 2*d + n*d**3 + 0 + 4/3*d**2.
2*d*(d + 3)**2/9
Let a = 1053535 + -1053532. What is b in -8*b - 5/2*b**2 - 1/6*b**a + 32/3 = 0?
-8, 1
Factor 48/5*d**3 + 24*d - 39/5 - 3/5*d**4 - 126/5*d**2.
-3*(d - 13)*(d - 1)**3/5
Let z(d) be the third derivative of 7/18*d**5 + 14*d**2 - 49/540*d**6 + 0 + d**3 + 2*d + 13/12*d**4. Factor z(c).
-2*(c - 3)*(7*c + 3)**2/9
Let x = 3060 - 3057. Let o(h) be the first derivative of 2*h**2 + 1/3*h**x - 6 + 4*h. Solve o(c) = 0.
-2
Let f(k) = -11*k**2 - 15*k - 343. Let r(p) = 2*p**2 + p + 57. Let s(l) = -3*f(l) - 17*r(l). Factor s(u).
-(u - 30)*(u + 2)
Suppose 161*x = 99*x + 145 - 21. Factor -28/3*t + 4/3*t**3 + 16/3 + 8/3*t**x.
4*(t - 1)**2*(t + 4)/3
Suppose -3/5*o**4 - 186*o + 240 + 12/5*o**3 + 153/5*o**2 = 0. Calculate o.
-8, 2, 5
Let g(j) be the third derivative of 71*j**2 - 7/135*j**5 + 0 + 0*j - 31/108*j**4 + 1/540*j**6 - 16/27*j**3. What is u in g(u) = 0?
-1, 16
Let k be 4273/7 + -2 + (-644)/(-1127). Let m be (8/28)/(116/k). What is v in -m*v**2 - 9 + 21/2*v = 0?
1, 6
Let c(v) be the first derivative of -v**4/44 + v**3/3 - 35*v**2/22 + 25*v/11 + 409. Factor c(m).
-(m - 5)**2*(m - 1)/11
Let b(l) be the first derivative of 0*l + 4/5*l**2 - 4/3*l**3 - 3/25*l**5 + 106 + 7/10*l**4. Let b(a) = 0. Calculate a.
0, 2/3, 2
Suppose 0 = -2*u - 2*w + 2864, u + 4*w - 1299 = 148. Let p = 4321/3 - u. Determine j, given that -16*j - p*j**2 - 4/3*j**3 + 96 = 0.
-6, 2
Suppose -537*o + 1112 + 1455 = 956. Suppose 6*t**2 - o*t**3 + 3/2*t**5 - 3 - 3*t**4 + 3/2*t = 0. What is t?
-1, 1, 2
Let i = 22303/954913 + 2/7519. Let m = 366/635 + i. Let -m + c + 3/5*c**2 - c**3 = 0. What is c?
-1, 3/5, 1
Let u(i) = i**3 - 10*i**2 - 12*i + 122. Let j be u(10). Suppose 9 + 5 = b. Factor 45*f + b + 89*f**j - 4 - 69*f**2.
5*(f + 2)*(4*f + 1)
Let a be (-4 - 4)*(-1 + (-2)/4). Determine g so that -17 - 8*g + a*g**2 - 18 - 4*g**4 + 35 = 0.
-2, 0, 1
Let n(h) be the first derivative of -15*h**4/4 + 48*h**3 + 249*h**2/2 - 198*h + 3736. Factor n(g).
-3*(g - 11)*(g + 2)*(5*g - 3)
Suppose 5961 = 52*h + 5805. Suppose -1/4*z**2 - 2 - 5/2*z + 1/4*z**h = 0. Calculate z.
-2, -1, 4
Factor 14*f - 1/5*f**3 - 40 + 17/5*f**2.
-(f - 20)*(f - 2)*(f + 5)/5
Let k(d) be the second derivative of d**6/120 - d**5/4 - 11*d**4/8 - 19*d**3/2 + 2*d - 2. Let g(h) be the second derivative of k(h). Factor g(t).
3*(t - 11)*(t + 1)
Suppose -2 = k, 4*k = -2*d - 26 + 18. Let b(p) be the first derivative of 0*p**2 - 2/51*p**3 + d*p + 1/34*p**4 + 8. Determine s so that b(s) = 0.