2*i - 0*i. Find x, given that 30/11*x**5 + 48/11*x**4 + n*x + 6/11*x**3 - 12/11*x**i + 0 = 0.
-1, 0, 2/5
Let g(j) be the third derivative of -j**5/20 - 433*j**4/4 - 187489*j**3/2 + 1385*j**2. Find m, given that g(m) = 0.
-433
Let d(j) = 2*j**2 - 2*j - 1. Let v(x) be the first derivative of 3*x**3 - 7*x**2/2 - 3*x + 75. Let l(u) = -26*d(u) + 6*v(u). Determine n so that l(n) = 0.
-4, -1
Let t(f) be the first derivative of -30*f - 1/4*f**4 + 3*f**3 - 15/2*f**2 + 26. Let x(j) be the first derivative of t(j). Determine n so that x(n) = 0.
1, 5
Let x(s) be the second derivative of 0*s**3 - 2*s**2 + 27/5*s**5 + 0 - 52*s + 77/12*s**4 + 7/6*s**6. Find y such that x(y) = 0.
-2, -1, -2/7, 1/5
Let x(r) = -r**2 + 12*r + 47. Let p be x(15). Factor 2*n**2 + n**2 + 4*n**3 - 8*n - 12*n**4 + 0*n**p + 9*n**2 + 4*n**5.
4*n*(n - 2)*(n - 1)**2*(n + 1)
Let r be 4 + -2 + 4 + (23 - 25). Suppose 3*m - 14 = u + 3, 2*m = -5*u - 17. Factor -155 - 120*k + 180*k**r + 25*k**2 + 30*k**3 - 25 - 175*k**m.
5*(k - 2)*(k + 2)*(k + 3)**2
Suppose 11*t**3 - 34*t**4 + 33*t**4 - 9*t**2 - 274228*t + 162 + 274129*t = 0. Calculate t.
-3, 2, 3, 9
Let 68/3*v**3 - 22*v + 16/3*v**4 - 2/3*v**5 + 0 - 16/3*v**2 = 0. What is v?
-3, -1, 0, 1, 11
Suppose -1/5*g**2 - 8*g + 176/5 = 0. What is g?
-44, 4
Suppose -2*y + 29 = -11. Let w(m) = -2*m**3 - 5*m**2 + 2*m + 5. Let s(f) = -6*f**3 - 16*f**2 + 6*f + 16. Let n(b) = y*w(b) - 6*s(b). Let n(g) = 0. Calculate g.
-1, 1
Suppose 0 = 56*q + q - 5985. Suppose -88*v - 68 = -q*v. Factor 0*z - 3/7*z**2 - 3/7*z**v + 0 + 6/7*z**3.
-3*z**2*(z - 1)**2/7
Let s = 9 + -2. Let w(y) = y**3 - 30*y**2 + 10. Let x be w(30). Solve 5*l**2 + 15*l - s + 5 + 2 + x = 0 for l.
-2, -1
Find d such that -160/9 + 2*d**3 - 28*d - 4/9*d**4 + 146/9*d**2 = 0.
-5, -1/2, 2, 8
Let h(c) = -c**3 - 20*c**2 + 28*c + 149. Let y be h(-21). Factor 74*q - 8354*q**y + 101*q + 8349*q**2.
-5*q*(q - 35)
Let j be 10/(-25)*1*10. Let d be (-27)/18*j/3. Factor 72*g**4 - 71*g**4 - g**d + g**5 - 2*g**3 + g**3.
g**2*(g - 1)*(g + 1)**2
Factor -159410*p**3 + 843*p**4 - 8503056 - 17163576*p - 8818956*p**2 - 19*p**5 - 1819*p**4 + 17*p**5.
-2*(p + 1)**2*(p + 162)**3
Let w = 11244/1255 - 542/251. Suppose -8/5*n**4 + 0*n**3 + 28/5*n**2 + w*n + 12/5 - 2/5*n**5 = 0. What is n?
-3, -1, 2
What is l in -144/13 + 2/13*l**2 + 28/13*l = 0?
-18, 4
Suppose -31*v**3 - 383232*v - 33*v**3 + 383232*v + 4*v**4 + 60*v**2 = 0. What is v?
0, 1, 15
Let z(v) = v**5 - v**2. Let o(i) = -i**5 - 21*i**4 - 24*i**3 - 8*i**2. Let u(f) = -3*o(f) + 12*z(f). Factor u(l).
3*l**2*(l + 2)**2*(5*l + 1)
Factor -199*f - 73*f - 14*f + 30*f**2 - 28*f**2.
2*f*(f - 143)
Suppose -184/3 - 652/3*b - 49/6*b**3 - 1183/6*b**2 = 0. What is b?
-23, -4/7
Suppose 2*d + 9*z = 4*z + 13, -2*d + 2*z = -6. Suppose -4*i**2 + 4*i**2 - 9*i + 6*i**2 - d*i**2 + 14 - i**2 = 0. Calculate i.
2, 7
Let k(i) be the second derivative of 27*i**5/20 + 39*i**4/4 - 29*i**3/2 + 15*i**2/2 + 658*i. Suppose k(h) = 0. Calculate h.
-5, 1/3
Let n(c) be the third derivative of c**7/70 - 21*c**6/40 + 31*c**5/20 + 129*c**4/8 + 38*c**3 + 556*c**2. Factor n(m).
3*(m - 19)*(m - 4)*(m + 1)**2
Let h(a) be the first derivative of -2*a**3/33 + 52*a**2/11 - 960*a/11 + 4428. Determine b, given that h(b) = 0.
12, 40
Factor 2/3*b + 29/6*b**3 - 16*b**2 + 64/3 + 1/6*b**4.
(b - 2)**2*(b + 1)*(b + 32)/6
What is k in 169358/13*k**2 - 171694/13*k**3 - 170528/13 - 2/13*k**5 + 90*k**4 + 171696/13*k = 0?
-1, 1, 292
Find j, given that 3/2*j**4 + 6084*j**2 + 317400 - 77280*j - 168*j**3 = 0.
10, 46
Let k(g) = -g**3 - g**2 - 3*g - 1. Let l be k(-1). What is z in 14 + 10 + 10*z + 51 - 3*z**l - 2*z**2 = 0?
-3, 5
Let p(s) = 15*s**3 + 273*s**2 + 457*s + 177. Let r(j) = -8*j**3 - 138*j**2 - 228*j - 86. Let w(x) = 6*p(x) + 11*r(x). Suppose w(l) = 0. Calculate l.
-58, -1
Let c = -77/17 + 19109/34. Let z = 558 - c. Factor -1/4*d**2 + z*d - 1/4.
-(d - 1)**2/4
Factor 260*v**2 + 4*v - 255*v**2 - 89*v.
5*v*(v - 17)
Let q be 82/14 + 15/105. Suppose -194 = -4*g - q. Factor -2*w**3 - g + 47 + 2*w.
-2*w*(w - 1)*(w + 1)
Let r(y) be the third derivative of -1/390*y**5 - y**2 + 0*y - 1/156*y**4 - 2 + 2/13*y**3. Factor r(m).
-2*(m - 2)*(m + 3)/13
Suppose 7*a - 2*a - 5*d - 5 = 0, -4*d = -3*a. Determine j, given that 5 + 10*j**4 + 2*j**a + 186*j**2 - 272*j**2 + 48*j + 60*j**3 + 173*j**2 + 4 = 0.
-3, -1, -1/2
Let p(d) be the second derivative of d**6/4 + 7*d**5/16 - 25*d**4/48 - 35*d**3/24 - 5*d**2/8 + 310*d. Solve p(j) = 0 for j.
-1, -1/6, 1
Factor 699*r + 598 + r**2 - 534 - 665*r.
(r + 2)*(r + 32)
Solve -288/13*f - 2/13*f**4 + 22/13*f**3 + 0 + 48/13*f**2 = 0 for f.
-4, 0, 3, 12
Let c(y) be the first derivative of y**5/20 - 35*y**4/16 - y**3/4 + 107*y**2/8 - 35*y/2 - 1265. Factor c(k).
(k - 35)*(k - 1)**2*(k + 2)/4
Factor 400/7 + 20/7*n - 2/7*n**2.
-2*(n - 20)*(n + 10)/7
Let h be (-477)/(-468) + 30/130. Determine g, given that h*g**2 - 2*g + 1 - 1/4*g**3 = 0.
1, 2
Let m = 67 - -67. Let s = m + -83. Factor -s*v + 8 - 69*v**2 - 27*v**5 - 186*v**3 - 75*v**2 - 14 - 114*v**4.
-3*(v + 1)**4*(9*v + 2)
Let x(y) = -3*y + 78. Let j be x(25). Find l, given that -6*l**j + 6*l**3 - 2*l**3 + 16*l**2 + 62*l**2 = 0.
0, 39
Find f, given that -294689*f**3 - 364500*f**5 + 4 + 720*f**2 + 184662*f**3 - 704700*f**4 + 10409*f**2 + 12095*f**2 - 206413*f**3 - 532*f = 0.
-1, 1/45
Suppose -3*w = -2*i + 2, -18*i + 22*i - 5*w = 6. Suppose 148*f + i*f**3 - 8*f**3 - 144*f**2 - 69 + 34 + 35 = 0. Calculate f.
-37, 0, 1
Suppose 32 = -4*a + 2*p, 2*a - 18 = 5*p - 50. Let z be (a - (644/(-36) - -6)) + -5. Factor 8/9*l + z + 2/9*l**2.
2*(l + 2)**2/9
Factor 2/5*w**2 - 726/5*w - 292.
2*(w - 365)*(w + 2)/5
Let l be (-20)/8*(15648/20)/6. Let s = -323 - l. Factor -2/13*x**4 + 4/13*x + 0*x**s + 0 + 6/13*x**2.
-2*x*(x - 2)*(x + 1)**2/13
Let k be 11 - ((-412)/927 + 1115/99). Determine y, given that 0*y**4 + k*y**5 - 4/11*y**3 + 0 + 2/11*y + 0*y**2 = 0.
-1, 0, 1
Let z(g) be the first derivative of -g**4/4 + 31*g**3/3 + 166*g**2 - 780*g + 6177. Solve z(u) = 0 for u.
-10, 2, 39
Let q(u) = u**2 + 115 + 10*u**2 - 36*u - 9*u**2 + 0*u**2. Let j be q(14). Find a such that -2/13*a**5 - 8/13*a**2 + 4/13*a**4 - 2/13*a + 4/13*a**j + 4/13 = 0.
-1, 1, 2
Suppose 15*z + 69*z - 695 = -55*z. Let v(k) be the third derivative of 26*k**2 + 1/21*k**7 + 0 + 5/24*k**4 - 1/24*k**6 - 1/4*k**z + 5/6*k**3 + 0*k. Factor v(r).
5*(r - 1)**2*(r + 1)*(2*r + 1)
Factor -574*c - 581*c + 35 - c**3 + 13*c**2 + 1108*c.
-(c - 7)*(c - 5)*(c - 1)
Let w(t) be the third derivative of t**8/168 + 37*t**7/105 + 59*t**6/12 + 45*t**5/2 + 1112*t**2. Factor w(a).
2*a**2*(a + 5)**2*(a + 27)
Let r(y) be the first derivative of -2*y**3/3 - 23*y**2 - 240*y + 655. Solve r(x) = 0.
-15, -8
Let h be (-1922)/62*10/(-155). Factor 48/13*t + 288/13 + 2/13*t**h.
2*(t + 12)**2/13
Let f be (((-8)/(-4))/(10/35))/1. Suppose 3*b = w + f, -4*b + 27 = -w + 18. Solve -2/7*h**5 - 6/7*h**4 + 0*h**b + 0*h + 0 - 4/7*h**3 = 0.
-2, -1, 0
Let m(g) be the third derivative of -g**5/20 + 413*g**4/2 - 341138*g**3 - 37*g**2 + 12*g. Factor m(z).
-3*(z - 826)**2
Factor -2/5*j + 1/5*j**2 + 0.
j*(j - 2)/5
Let w be (-55)/(-28) + 1956/(-1141). Let g(d) be the first derivative of 12 - w*d**4 - 11/12*d**3 + 1/2*d - 5/8*d**2. Factor g(x).
-(x + 1)*(x + 2)*(4*x - 1)/4
Let g(u) be the second derivative of u**8/2688 + 13*u**7/504 - 27*u**4/4 + 98*u + 1. Let t(x) be the third derivative of g(x). Let t(y) = 0. What is y?
-26, 0
Let i(f) be the second derivative of 7/100*f**5 - 4/5*f**2 + 0 - 64*f + 2/3*f**3 - 1/150*f**6 - 3/10*f**4. Factor i(z).
-(z - 2)**3*(z - 1)/5
Let r = -3902 + 3919. Let c(u) be the first derivative of 50/11*u + 2/33*u**3 + 10/11*u**2 - r. Factor c(k).
2*(k + 5)**2/11
Let l = 888130/11 + -80738. Factor -1/11*z**5 - l*z**3 + 0*z + 6/11*z**4 + 8/11*z**2 + 0.
-z**2*(z - 2)**3/11
Let m = -1833 - -2118. Let j be m/665 - ((-1448)/70)/4. Factor -98/5 - 2/5*w**2 - j*w.
-2*(w + 7)**2/5
Let c be -38 - ((-70752)/462)/4. Factor -c*z - 12/7 + 8/7*z**2 - 2/7*z**3.
-2*(z - 3)*(z - 2)*(z + 1)/7
Let h(f) be the second derivative of f**6/360 + f**5/30 + f**4/8 + 2*f**3 + 35*f. Let b(s) be the second derivative of h(s). Factor b(v).
(v + 1)*(v + 3)
Let r = 33 - 30. Suppose r*o + o - 8 = 0. Factor 2*m + m**o + 0 - 6*m + 0.
m*(m - 4)
Let f be -2*3 - 31/((-899)/348). Factor -2