a(j).
2*j*(j - 3)**2*(j + 6)/7
Let j(i) be the third derivative of i**5/80 - 213*i**4/8 + 45369*i**3/2 - 1649*i**2. Solve j(r) = 0.
426
Let 19494/11 + 4218/11*l + 6/11*l**3 + 282/11*l**2 = 0. What is l?
-19, -9
Let n = -310 + 314. Solve 18*f**n - 29*f**3 - f**5 - 84*f**2 + 196 + 9*f**4 - 139*f**2 - 138*f**3 + 168*f = 0 for f.
-1, 1, 14
Let q(l) be the third derivative of -l**5/20 - 35*l**4/2 - 401*l**2. Factor q(a).
-3*a*(a + 140)
Suppose -2*y + 3 = 1, -5*o + 2*y - 6*y + 19 = 0. Factor -4/9*l**4 + 26/9*l**o - 8/9 - 1/9*l**5 - 44/9*l**2 + 31/9*l.
-(l - 1)**4*(l + 8)/9
Let z(x) = x**4 + x**3 - x**2 + 3*x - 1. Let k(b) = -10*b**4 + 144*b**3 - 436*b**2 + 264*b + 47. Let h(f) = k(f) - 3*z(f). Find r, given that h(r) = 0.
-2/13, 1, 5
Let c(u) be the first derivative of -u**4/18 + 986*u**3/27 - 20336*u**2/3 + 13448*u - 2590. Factor c(d).
-2*(d - 246)**2*(d - 1)/9
Suppose 17 = -3*a + 2*g + 45, -5*a + 35 = -g. Let v be (-5)/(a/(-2) - -2). Factor 7*p**2 - p**3 + v*p**3 - 2*p**2 + 4*p + 3*p**2.
4*p*(p + 1)**2
Let p(i) = i**3 - 17*i**2 - 37*i - 16. Let m be p(19). Factor 4/3*u**2 + 8/3*u**4 + 10/3*u**m + 2/3*u**5 + 0 + 0*u.
2*u**2*(u + 1)**2*(u + 2)/3
Let y be 2/13 + 25 + (-6550)/325. Let j(a) be the second derivative of -7*a - 1/70*a**y + 2/21*a**3 + 0 + 1/42*a**4 + 0*a**2. Solve j(h) = 0 for h.
-1, 0, 2
Let t(j) be the third derivative of -j**7/420 - 3*j**6/20 - 101*j**5/120 - 11*j**4/8 + 2*j**2 - 2*j - 2522. Suppose t(n) = 0. Calculate n.
-33, -2, -1, 0
Let i be 2 + 1 + 62 + -213. Let c = i - -150. Determine d, given that -2/5*d**c + 2/5*d - 4/5*d**3 + 0 = 0.
-1, 0, 1/2
Let k(o) = -6 + 254*o - 255*o - 4*o**2 + 0*o**2. Let l(m) = 15*m**2 + 5*m + 23. Let b(s) = 22*k(s) + 6*l(s). Solve b(p) = 0.
-3, -1
Factor 3/5*j**2 - 51/5*j - 2052/5.
3*(j - 36)*(j + 19)/5
Let p(s) be the second derivative of s**5/10 - 29*s**4/12 + 2*s**3 + 14*s**2 + 5*s - 12. Let m be p(14). Let 4/9*v - 2/9*v**2 + m = 0. What is v?
0, 2
Let u(c) = 2*c**2 - c - 4. Let r(n) = -7*n**2 - 24*n - 176. Let w(t) = -r(t) - 6*u(t). Factor w(k).
-5*(k - 10)*(k + 4)
Let l = -1816 - -5453/3. Let s(h) be the first derivative of -l*h**3 - 9 + 5/4*h**4 - 5*h**2 + 0*h. Solve s(o) = 0.
-1, 0, 2
Factor 1330*n - 1315*n**2 - 6*n**3 + n**3 + 3107 - 467.
-5*(n - 2)*(n + 1)*(n + 264)
Let t be 2/(-7) + (-128)/(-56). Factor 20*r**2 - 40 - 2*r**t - 13*r**2 + 10*r + 0*r.
5*(r - 2)*(r + 4)
Let l(d) be the first derivative of 1/3*d**2 - 2/9*d**3 + 0*d + 2. Let l(c) = 0. Calculate c.
0, 1
Let j(r) be the second derivative of r**5/10 - 176*r**4 - 705*r**3 - 1058*r**2 - 2*r - 51. Let j(s) = 0. What is s?
-1, 1058
Factor 159/5*g + 396 + 3/5*g**2.
3*(g + 20)*(g + 33)/5
Let h(t) be the second derivative of 0 + 3/5*t**4 + 11*t + 0*t**2 - 2/75*t**6 + 2/3*t**3 + 3/25*t**5. Determine d, given that h(d) = 0.
-1, 0, 5
Let a(u) be the first derivative of -u**4/8 + 31*u**3/3 - 665*u**2/4 - 4900*u - 3098. Factor a(z).
-(z - 35)**2*(z + 8)/2
Let t(w) = 20*w + 24. Let c be t(2). Suppose -7*g = c*g - 142. Factor 6/11 - 2/11*d**g + 4/11*d.
-2*(d - 3)*(d + 1)/11
Let a be (0 + 113/27)/((-2002)/27456). Let b = -394/7 - a. Solve -b*v**2 - 2/9*v**5 + 8/9 + 10/9*v**3 + 2/9*v**4 - 8/9*v = 0.
-2, -1, 1, 2
Let w(y) be the third derivative of 7*y**5/30 + 5*y**4/8 + y**3/6 - 272*y**2. Factor w(z).
(z + 1)*(14*z + 1)
Find l such that -1/2*l**2 + 258 + 515/2*l = 0.
-1, 516
Factor -1238738/5 + 1574/5*u - 1/10*u**2.
-(u - 1574)**2/10
Let m = 2569/3804 + -11/1268. Let h(w) be the second derivative of -24*w + m*w**2 + 0 + 1/27*w**4 - 8/27*w**3. Factor h(k).
4*(k - 3)*(k - 1)/9
Let f(g) be the third derivative of -g**6/260 - 23*g**5/390 - 5*g**4/39 - 2*g**2 - 1339*g. Factor f(y).
-2*y*(y + 1)*(3*y + 20)/13
Let a = 3502033/5 - 700406. Determine j so that -j**2 + 1/5*j**4 - a*j**3 + 4/5 + 3/5*j = 0.
-1, 1, 4
Let f = -15022 + 420617/28. Let b(j) be the second derivative of f*j**7 + 9/32*j**5 + 17*j + 0*j**2 - 7/32*j**4 - 13/80*j**6 + 1/16*j**3 + 0. Factor b(p).
3*p*(p - 1)**3*(4*p - 1)/8
Suppose -4*m = 4*u - 24, -3*m + 4*m + 6 = 5*u. Solve -2*g - 16*g**u + 3*g**5 + 8*g**4 - 85*g**3 + 93*g**3 - 2*g + 8 - 7*g**5 = 0 for g.
-1, 1, 2
Let c = -37726 + 75457/2. Let n(a) be the second derivative of -3/2*a**3 - c*a**2 + 18*a + 0 - 1/4*a**4 + 1/20*a**5. Solve n(w) = 0.
-1, 5
Let j = 2656 - 2551. Let f be 14/(98/j) - 12. Determine r so that 12*r**2 + 0 - 16/3*r**f - 8/3*r = 0.
0, 1/4, 2
Let f be -20 - 1023/594*-12. Let -1/3*z**2 - z**3 + f - 1/3*z**4 + z = 0. What is z?
-2, -1, 1
Let d be (1221/10175)/(6/5). Let l(w) be the first derivative of -15 - d*w**4 + 3/5*w**2 + 0*w**3 - 4/5*w. Factor l(u).
-2*(u - 1)**2*(u + 2)/5
Factor -37/9*o**2 + 0 + 160/9*o + 1/9*o**3.
o*(o - 32)*(o - 5)/9
Let i(r) = -5*r**2 - 233*r + 648. Let f(n) = n**2 + 9*n. Let t(q) = 14*f(q) + 2*i(q). Find v such that t(v) = 0.
4, 81
Suppose 9*j = 24*j - 3765. Let 111*y - 276*y - j - 3*y**2 + 89 = 0. What is y?
-54, -1
Let b = -4927/38 + 9949/76. Solve 1/4*f**5 + b*f**3 + 0 + 5/4*f**4 - 3/2*f - 5/4*f**2 = 0.
-3, -2, -1, 0, 1
Let p(r) be the second derivative of -r**6/6 + 9*r**5/4 - 145*r**4/12 + 65*r**3/2 - 45*r**2 - 131*r. Factor p(i).
-5*(i - 3)**2*(i - 2)*(i - 1)
Let b(l) be the second derivative of -l**4/15 + 4*l**3/5 - 16*l**2/5 + 382*l. Factor b(i).
-4*(i - 4)*(i - 2)/5
Let l(r) be the second derivative of r**4/30 + 62*r**3 + r - 46. Determine g, given that l(g) = 0.
-930, 0
Let t = 4754/7 - 23728/35. Let c(p) be the second derivative of 1/30*p**4 + t*p**2 + 7/15*p**3 + 25*p + 0. Factor c(x).
2*(x + 1)*(x + 6)/5
Let a = -9 - -12. Suppose 0 = 9*z - 10*z + a. What is t in 2*t**2 - 31*t**3 - z*t**4 + 4*t + t**4 + 27*t**3 = 0?
-2, -1, 0, 1
Suppose -135*f = -303*f. Factor 0*j + 9*j**2 + 3/2*j**3 + f.
3*j**2*(j + 6)/2
Let z(l) be the second derivative of 0*l**2 + 2*l + 0*l**3 + 1/180*l**6 - 1/15*l**5 + 7/72*l**4 + 2. Determine f so that z(f) = 0.
0, 1, 7
Let q(g) be the third derivative of 11*g**8/714 - 41*g**7/1785 - 49*g**6/1020 + 43*g**5/510 + 5*g**4/204 - 2*g**3/51 + 356*g**2. Suppose q(t) = 0. What is t?
-1, -1/4, 2/11, 1
Let v(f) = -f**3 - 15*f**2 + 77*f + 22. Let l be v(-19). Factor 6/5*r**2 + 0*r**l + 0 + 0*r - 6/5*r**4.
-6*r**2*(r - 1)*(r + 1)/5
Let r(a) be the first derivative of 4*a**5/5 - 1510*a**4 + 679. Suppose r(j) = 0. Calculate j.
0, 1510
Let h = 13122586/249 + -105401/2. Let g = h + 3/166. Find s such that 1/6*s**2 + g*s + 0 = 0.
-4, 0
Let c = -657 - -661. Let -15*a - 5*a**c + 75*a - 48*a**2 + 70*a**3 - 77*a**2 = 0. Calculate a.
0, 1, 12
Factor 1464/13*u + 267912/13 + 2/13*u**2.
2*(u + 366)**2/13
Suppose 0*j + 4/5*j**2 + 1/5*j**5 - 3/5*j**4 + 0 + 0*j**3 = 0. What is j?
-1, 0, 2
Let c(h) be the second derivative of 1/20*h**2 + 6*h + 1/30*h**3 + 0*h**4 - 1/100*h**5 + 0 - 1/300*h**6. Factor c(d).
-(d - 1)*(d + 1)**3/10
Let d(m) be the third derivative of -m**8/336 + 43*m**7/30 - 22799*m**6/120 + 22199*m**5/60 + 950*m**4 - 3750*m**3 - 7754*m**2. Let d(p) = 0. Calculate p.
-1, 1, 150
Suppose 5*x + z - 33 = 0, 3*x + 10*z - 12 = 12*z. Suppose -2*b = 5*a + 15, -6*b - 2*a = -b + x. Factor 2/7*f + b*f**2 - 1/7*f**4 - 2/7*f**3 + 1/7.
-(f - 1)*(f + 1)**3/7
Let s be (2/21)/((-14)/(-21)). Let k(q) be the second derivative of s*q**2 + 1/7*q**3 + 1/14*q**4 + 1/70*q**5 + 0 + 17*q. Solve k(i) = 0 for i.
-1
Let x(r) = 7*r - 6. Let v be x(-5). Let g = v - -43. Find i such that 3*i**g - 9 - 11 - 25*i - 5*i**2 - 3*i**2 = 0.
-4, -1
Suppose -3*c + 4 = 959*q - 957*q, 3*c + 4 = 2*q. Factor -3/2*t**3 + 11/4*t**q + 0 + 1/4*t**4 - 3/2*t.
t*(t - 3)*(t - 2)*(t - 1)/4
Let b(r) be the third derivative of -1/10*r**6 + 0 + 0*r**3 + 0*r**4 + 16*r**2 - 1/3*r**5 - r. Factor b(p).
-4*p**2*(3*p + 5)
Let r(f) be the first derivative of f**6/540 + 13*f**5/180 - 61*f**3/3 + 66. Let b(c) be the third derivative of r(c). Factor b(y).
2*y*(y + 13)/3
Let x(o) = 4*o**2 + 0*o**2 + o**3 + 618*o - 615*o - 3*o**2. Let s(r) = -10*r**3 - 50*r**2 - 15*r. Let w(p) = -s(p) + 5*x(p). Factor w(u).
5*u*(u + 3)*(3*u + 2)
Let x be -14 - ((-23)/21 - -1 - (-1689120)/(-107100)). What is d in 8/15*d**2 + 38/15*d - 2/15*d**3 + x = 0?
-2, -1, 7
Let o(r) = r**3 - 14*r**2 - 9*r + 128. Let i be o(14). Let a be -1*((-1 - (-120)/21) + -5). Let 2/7 + a*s**3 - 2/7*s**i - 2/7*s = 0. Calculate s.
-1, 1
Let d = -29562 + 206936/7. Factor 0 - 4/7*j**2 