 + 14/3*l**4 = 0. What is l?
0, 1/2, 1
Suppose -2*f - 168 = 2*f. Let n = f - -75. Factor -3*t**3 - 17*t**3 + 8 + 36*t**2 - 29*t**4 + n*t**4 - 28*t.
4*(t - 2)*(t - 1)**3
Let i(s) be the third derivative of 0*s**4 + 1/210*s**5 + 0 - 50*s**2 - 1/420*s**6 + 0*s**3 + 0*s. Factor i(k).
-2*k**2*(k - 1)/7
Let t(h) be the third derivative of h**7/210 - h**6/20 - 3*h**5/5 - 5*h**4/3 - 318*h**2 + 2*h. Factor t(d).
d*(d - 10)*(d + 2)**2
Let a(z) be the third derivative of z**8/112 + 15*z**7/7 - 57*z**6/5 + 229*z**5/10 - 153*z**4/8 + 6*z**2 - 2*z - 231. Find h such that a(h) = 0.
-153, 0, 1
Let j(i) be the second derivative of i**4/15 - 11*i**3/15 - 21*i**2/5 - 3121*i. Factor j(a).
2*(a - 7)*(2*a + 3)/5
Suppose -5*z = m - 12 - 25, -70 = -10*z. Let q(w) be the first derivative of -1/9*w**3 - 4/3*w - 15 - 5/6*w**m. Suppose q(x) = 0. Calculate x.
-4, -1
Let b(x) = -x**2 - 5101*x + 20424. Let u be b(4). Let 0*t + 0 + 3*t**5 + 84/5*t**3 - 66/5*t**u - 24/5*t**2 = 0. Calculate t.
0, 2/5, 2
Factor 273*i**2 + 111*i**2 + 259*i + 159*i - 6 + 347*i.
3*(i + 2)*(128*i - 1)
Let x = 131153/483 - 6241/23. Factor -2/21*c**2 - x*c + 0 + 2/21*c**4 + 4/21*c**3.
2*c*(c - 1)*(c + 1)*(c + 2)/21
Let l(g) be the third derivative of g**7/1050 + 29*g**6/600 + 113*g**5/300 - 1649*g**4/120 - 289*g**3/5 - 156*g**2 + 2*g. Solve l(x) = 0.
-17, -1, 6
Let i be (85224/(-530))/(-67) - 14/(-5). Factor 27/5 - 9/5*t**4 - 18/5*t**2 + 27/5*t - 1/5*t**5 - i*t**3.
-(t - 1)*(t + 1)*(t + 3)**3/5
Suppose 4*f + 0 = 12. Factor -3*b**f + 75*b - 79*b + 7*b**3.
4*b*(b - 1)*(b + 1)
Let t be (-42 - -52)*1538/16 + (-1)/4. Determine g so that 1/4*g**2 + t - 31*g = 0.
62
Let w(o) = 6*o + 49. Let g be w(-8). Let c(h) = -23*h**2 + 1. Let v(b) = b**2 + 2*b - 1. Let j(n) = g*c(n) - v(n). Factor j(i).
-2*(3*i + 1)*(4*i - 1)
Let j(m) = m**2 - 55*m + 28. Let y(g) = 2*g**2 - 163*g + 83. Let b(l) = -17*j(l) + 6*y(l). Let t be b(-9). Factor 0 + s**t + 2/3*s**3 - 1/3*s**2 + 0*s.
s**2*(s + 1)*(3*s - 1)/3
Let n be (-2 + 64/20)/((-252)/35 + 8). Solve 9/2 + 3*y - n*y**2 = 0.
-1, 3
Let x = 545 + -8717/16. Let t = x - -69/16. Factor -t*j + 0*j**2 + 3/2*j**3 + 3.
3*(j - 1)**2*(j + 2)/2
Let z = -342 - -347. Suppose -4 = -z*h - v - v, -4*h + v + 11 = 0. Let 2 - 3/2*j**2 - h*j = 0. Calculate j.
-2, 2/3
Let q(d) = 8*d - 9*d**2 - d**3 - 3 + 8 + 7*d**2. Let f be q(-4). Determine x, given that 13*x - f*x**2 - 13*x - x**2 + 3*x**3 = 0.
0, 2
Let p(c) be the second derivative of -c**4/3 + 84*c**3 - 7938*c**2 + c - 558. Let p(z) = 0. Calculate z.
63
Factor -561643 + 283342*n + 4*n**3 - 1652*n**2 + 57343 - 110322*n.
4*(n - 205)**2*(n - 3)
Let k be (483/35 - 12)*(-2)/((-36)/30). Let a be 2/5 + (-22)/55. Factor -3/5*y**k + 0*y**2 + 0 + a*y.
-3*y**3/5
Find h, given that -112*h - 1820*h**2 - 102*h + 70*h + 148 + 1816*h**2 = 0.
-37, 1
Let t(b) = 2*b**2 - b + 2. Let p(s) = 4*s**3 - 192*s**2 + 193*s - 41. Let d(u) = p(u) - 4*t(u). Factor d(k).
(k - 49)*(2*k - 1)**2
Let i = 30789 + -30784. Suppose 6/5 - 3/5*w**4 - i*w + 21/5*w**2 + 1/5*w**3 = 0. What is w?
-3, 1/3, 1, 2
Suppose -w + l + 40 = 0, 2*w - 4*l + 10 = 98. Let g = w + -36. Factor g*z + 0*z**3 - 4/7*z**2 + 2/7 + 2/7*z**4.
2*(z - 1)**2*(z + 1)**2/7
Let r(u) = 11*u**2 - 3*u + 20. Let t(j) = -21*j**2 + 0*j - 4*j + 14*j**2 - 11 + 5*j - 3. Let q(l) = -5*r(l) - 8*t(l). Find i, given that q(i) = 0.
-4, -3
Let i(u) be the third derivative of 0*u**3 + 7*u**2 + 3/8*u**6 - 7/12*u**5 + 0 + 0*u - 5/24*u**4. Let g(b) = -b. Let f(y) = -5*g(y) - i(y). Factor f(t).
-5*t*(t - 1)*(9*t + 2)
Factor 54/13*g**2 - 110/13*g + 4/13.
2*(g - 2)*(27*g - 1)/13
Let k(a) be the second derivative of -a**5/150 - 29*a**4/30 - 841*a**3/15 + 9*a**2/2 + 76*a. Let r(j) be the first derivative of k(j). Factor r(y).
-2*(y + 29)**2/5
Let x = -37 - -43. Let c be 42/5 + (-3)/(45/x). Find v such that 0*v**3 + 0*v**5 + 10*v**3 + 3*v + c*v**3 + 12*v**4 + 3*v**5 + 12*v**2 = 0.
-1, 0
Let t(c) = -39*c + 51*c**2 + 89*c - 21 + 54*c. Let w(p) = 76*p**2 + 156*p - 32. Let u(m) = -8*t(m) + 5*w(m). Factor u(k).
-4*(k + 2)*(7*k - 1)
Let u = -2/1454545 - -1454553/5818180. Suppose 0*m**2 - 7/4*m - 3/2 + u*m**3 = 0. What is m?
-2, -1, 3
Determine d, given that 68*d**2 + 504 + 408*d**2 - 1371761*d**5 - 20*d**4 + 48*d**3 + 1371759*d**5 - 1006*d = 0.
-9, -7, 1, 4
Factor 108/5*b**2 - 2/5*b**4 - 2*b**3 + 176/5 - 248/5*b.
-2*(b - 2)**3*(b + 11)/5
Let n be 80/48 + (-10)/(-3). Suppose 5 = -n*l + 15. Solve -1/4 + 1/8*q**l + 1/8*q = 0 for q.
-2, 1
Let r(m) = 6*m - 374. Let c be r(61). Let w be c + 16*(-21)/(-28). Factor w + 3*y + 1/2*y**2.
(y + 2)*(y + 4)/2
Find m such that 1212/5 + 398/5*m - 2/5*m**2 = 0.
-3, 202
Determine b so that 4*b - 14*b**5 + 66*b**3 + 4*b**5 + 16*b**4 - 28*b**3 + 16 + 4*b - 68*b**2 = 0.
-2, -2/5, 1, 2
Let v(h) = h**3 + 61*h**2 + h + 63. Let q be v(-61). Let t(m) be the first derivative of 9 + 1/11*m**q + 2/33*m**3 + 0*m. Factor t(f).
2*f*(f + 1)/11
Suppose -5*p + 6 = -3*g + 2, -6 = 3*p + g. Let c be (25/((-675)/12))/(p/12). Factor -2/3*u**2 - 32/3 + c*u.
-2*(u - 4)**2/3
Let m be (5/(-15)*(-2 - 4))/(85/((-1530)/(-12))). Find x such that -10/11*x**m + 40/11*x + 0 + 96/11*x**2 = 0.
-2/5, 0, 10
Let h = 43 + -41. Let r(w) = -8*w - 53. Let b be r(-7). Solve 2/3*t**b - 2/3*t + 0*t**h + 0 = 0.
-1, 0, 1
Let t be (-13068)/(-1760) - 255/(-3400). Factor -3/2*s**4 - 21*s + 18*s**2 + t - 3*s**3.
-3*(s - 1)**3*(s + 5)/2
Let z(m) be the first derivative of 4*m**3 - 1/2*m**2 + 1/4*m**4 - 1/20*m**5 + 0*m - 3. Let i(k) be the second derivative of z(k). Suppose i(b) = 0. What is b?
-2, 4
What is z in -308/3*z - 32 + 298/9*z**2 + 14/9*z**3 = 0?
-24, -2/7, 3
Let t(w) = 3*w**4 + 297*w**3 + 8109*w**2 - 309*w - 8109. Let v(j) = 3*j**4 + 302*j**3 + 8109*j**2 - 310*j - 8110. Let n(q) = -2*t(q) + 3*v(q). Factor n(c).
3*(c - 1)*(c + 1)*(c + 52)**2
Let f(o) be the third derivative of o**6/180 - o**5/5 + 59*o**4/36 - 14*o**3/3 - 113*o**2 - 4. Let f(v) = 0. Calculate v.
1, 3, 14
Suppose 3*m - m + 2 = 0. Let f(d) = -38*d - 2. Let o be f(m). Factor 2*x**2 - o*x + 30*x + x**2.
3*x*(x - 2)
Let p = -3042 + 4259. Let a = p - 1213. Solve -3/2*l + 6 - 27/4*l**2 + 3/2*l**3 + 3/4*l**a = 0 for l.
-4, -1, 1, 2
Let d be (1748/(-92))/(57/(-6)). Find j such that 56/5*j + 0*j**d - 6/5*j**5 + 32/5 - 10*j**3 - 32/5*j**4 = 0.
-2, -4/3, -1, 1
Factor -128/5*q**2 - 7/5*q**3 - 603/5*q - 162/5.
-(q + 9)**2*(7*q + 2)/5
What is z in 11*z**2 - 33*z**2 - 19*z + 16*z + 9*z**2 + 10*z**2 + 168 = 0?
-8, 7
Let s(i) be the first derivative of -i**8/10080 + i**7/630 + i**3/3 + 9*i**2 + 28. Let c(q) be the third derivative of s(q). Determine l, given that c(l) = 0.
0, 8
Let u = -413 - -398. Let p(h) = -4*h**2 - 58*h + 33. Let j be p(u). Factor 15/7*r - 6/7 - 9/7*r**2 - 3/7*r**j + 3/7*r**4.
3*(r - 1)**3*(r + 2)/7
Let p be (-162980)/(-300) - (-2)/5. Let s = -537 + p. Factor -50/3*x**2 + 0 - 2/3*x**4 + 0*x - s*x**3.
-2*x**2*(x + 5)**2/3
Let t be (-18*(-1)/2 - 122/14)*6. Find u such that 75/7*u**4 - t*u**5 - 36/7 + 156/7*u - 18*u**3 - 3*u**2 = 0.
-1, 1/4, 2, 3
Let w(l) be the second derivative of -3*l**5/20 + 21*l**4/4 - 111*l**3/2 + 273*l**2/2 - 41*l - 25. Suppose w(s) = 0. What is s?
1, 7, 13
Let m(c) be the second derivative of 0 - 34*c + 1/3*c**4 - 16/3*c**3 + 30*c**2. Factor m(l).
4*(l - 5)*(l - 3)
Let j(c) be the second derivative of 7*c**3/6 + 37*c**2/2 + 11*c + 4. Let n be j(-5). Find q, given that -2/7*q**4 - 4/7*q + 4/7*q**3 + 2/7 + 0*q**n = 0.
-1, 1
Suppose -2*q - 14 = -4*u + u, 2*u = -3*q + 18. Let o be -6*u/(-27)*(-12)/(-20). Solve o*f + 26/5*f**2 + 14/5*f**5 + 54/5*f**3 + 0 + 46/5*f**4 = 0 for f.
-1, -2/7, 0
Let j be (1/3)/((301/2064)/((-5)/(-20))). Factor -4/7*c + j*c**3 - 4/7 + 4/7*c**2.
4*(c - 1)*(c + 1)**2/7
Let v = 112510/7997 - -82/727. Factor -6/11*p**2 - 1014/11 + v*p.
-6*(p - 13)**2/11
Solve 236*u**2 + 119*u - 81*u**2 - 101 - 133 - 77*u**2 - 79*u**2 = 0 for u.
2, 117
Find c, given that -79707/7 - 3/7*c**2 - 978/7*c = 0.
-163
Let n be (-2037)/(-168) - 5/40. Suppose v + 15 = n, -v - 3 = 5*c. Solve c - 3/2*g**2 - 1/2*g**4 + 1/2*g + 3/2*g**3 = 0.
0, 1
Let i(t) be the first derivative of -t**5/3 + 11*t**4/6 - 4*t**3/3 + 209*t**2/2 + 95. Let u(j) be the second derivative of i(j). Factor u(c).
-4*(c - 2)*(5*c - 1)
Let o(x) be the first derivative of 55*x**4/4 - 200*x**3/3 + 70*x**2 + 80