+ 23*h**5/90 + 8*h**4/3 + 12*h**3 + 1036*h**2. Factor t(g).
2*(g + 2)*(g + 3)*(g + 18)/3
Let t = -2 + 5. Let a be 1232/28 + -38 - 6. Solve 1/4*l**4 + a*l - 3/4*l**t + 0 + 1/2*l**2 = 0 for l.
0, 1, 2
Let y be 38/(-14) + -1 + 12/(-42). Let v be -4 + -2 + 5 - y. Solve 0*p + 2/11*p**v + 0 - 4/11*p**2 = 0 for p.
0, 2
Let l(z) be the third derivative of -z**6/480 - 91*z**5/240 + 23*z**4/24 - 13*z**2 - 29*z. Let l(c) = 0. Calculate c.
-92, 0, 1
Let y(f) be the third derivative of -f**5/60 + 159*f**4/4 - 75843*f**3/2 - 7256*f**2. Suppose y(r) = 0. What is r?
477
Let o = 13/170 - -301/510. Let l(v) be the first derivative of -3 - o*v - 1/2*v**4 + v**2 - 2/15*v**5 - 1/18*v**3. Determine n, given that l(n) = 0.
-2, 1/2
Let w(o) be the third derivative of 363/20*o**5 + 2*o**2 - 7*o + 2/3*o**3 + 0 - 11/2*o**4. Solve w(m) = 0.
2/33
Find d, given that 288*d - 208*d**3 + 65*d**2 + 9*d**5 - 145*d**2 + 68*d**4 + 15*d**5 - 18*d**2 - 394*d**2 = 0.
-3, 0, 1/2, 8/3
Let q be -36*(-9)/(-54)*14/(-28). Factor 21/2*d**2 + 12*d + 2 + 5/2*d**q.
(d + 2)**2*(5*d + 1)/2
Let u = 1525994/3 - 480270. Solve 1/3*a**3 + 1936*a - u - 44*a**2 = 0.
44
Let k be ((-8)/(-22))/(4809/15114). Solve k*x**3 + 0*x**2 + 4/7*x**5 + 0*x + 0 - 12/7*x**4 = 0.
0, 1, 2
Let u(f) be the third derivative of -f**8/84 - 8*f**7/35 - 14*f**6/15 - 2*f**5/5 + 29*f**4/6 + 12*f**3 + 6*f**2 + 337. Solve u(y) = 0 for y.
-9, -2, -1, 1
Let k(b) = -65*b**4 - 3195*b**3 - 5215*b**2 + 1790*b - 5. Let j(q) = 98*q**4 + 4793*q**3 + 7825*q**2 - 2682*q + 7. Let o(x) = 5*j(x) + 7*k(x). Solve o(v) = 0.
-44, -2, 0, 2/7
Let -3/4*b**5 + 77/4 + 17/4*b**4 - 191/2*b**2 + 105/2*b**3 + 81/4*b = 0. Calculate b.
-7, -1/3, 1, 11
Let y(o) be the second derivative of o**6/75 + 33*o**5/50 - 143*o**4/30 + 61*o**3/5 - 74*o**2/5 + 3207*o. Suppose y(s) = 0. What is s?
-37, 1, 2
Let l(v) be the first derivative of -v**6/15 + 532*v**5/25 - 527*v**4/5 + 3152*v**3/15 - 1049*v**2/5 + 524*v/5 - 3429. Factor l(a).
-2*(a - 262)*(a - 1)**4/5
Let o be 2*3 + (-68250)/12250. Factor 24/7*j**2 + 12/7*j + 0 + o*j**4 + 15/7*j**3.
3*j*(j + 1)*(j + 2)**2/7
Let j be 348 - 361 - 42/(-2). Factor 2/3*v**4 - 56/3*v - 16/3*v**3 + j + 46/3*v**2.
2*(v - 3)*(v - 2)**2*(v - 1)/3
Let y(a) be the first derivative of -a**8/10080 + a**7/1260 - a**6/540 - 55*a**3/3 + 14. Let k(x) be the third derivative of y(x). Factor k(d).
-d**2*(d - 2)**2/6
Let 12 - 36*n**2 + 21 + 0 + 456*n - 1 - 84*n**2 - 58*n**3 = 0. Calculate n.
-4, -2/29, 2
Let t(u) be the third derivative of -5*u**6/24 - 26*u**5 - 535*u**4/2 - 1160*u**3/3 - 1408*u**2. Factor t(o).
-5*(o + 4)*(o + 58)*(5*o + 2)
Let s be (703/1406)/((-21)/(-48)). Find j, given that 1/7*j**2 - s*j + 12/7 = 0.
2, 6
Let z(u) = -42*u**3 + 412*u**2 + 1064*u - 11. Let m(c) = -15*c**3 + 140*c**2 + 355*c - 4. Let b(o) = 11*m(o) - 4*z(o). Suppose b(x) = 0. What is x?
-3, 0, 39
What is i in 105679*i**2 + 23516617 - 1992*i**3 - 71856072*i + 544644*i**2 - 245072839 + 2*i**4 + 9017*i**2 = 0?
-3, 333
Let v(f) be the third derivative of -f**8/5040 + f**7/210 - f**6/20 - 9*f**5/20 - 4*f**2 - 3. Let n(l) be the third derivative of v(l). Factor n(u).
-4*(u - 3)**2
Factor 26*x**2 + x**4 + 21*x**2 + 0*x + 9*x + 25*x**3 + 14*x.
x*(x + 1)**2*(x + 23)
Let c(p) be the second derivative of -p**6/240 + 3*p**5/80 + p**4/32 - p**3/3 - 3*p**2/4 - 798*p. Factor c(u).
-(u - 6)*(u - 2)*(u + 1)**2/8
Let v = -139826 + 139828. Let b be 52/20 + -1*1. Let 8/5 + b*r**3 - 2/5*r**4 - 8/5*r - 6/5*r**v = 0. Calculate r.
-1, 1, 2
Find h, given that -1523*h**3 - 26961 - 261360*h - 58223 - 3*h**4 + 0*h**4 + 621*h**3 - 17556*h**2 + 505*h**3 = 0.
-44, -1/3
Let j = -2547 + 1583. Let w = -3855/4 - j. Let -5/4*u**3 + 1/4*u**4 + w*u**5 - 5/4*u**2 + 1 + u = 0. What is u?
-2, -1, 1, 2
Let u(c) = -10*c - 20. Let b be u(-4). Solve 7*m**3 + b*m**4 - 13*m**3 + 11*m**2 - 5*m + 19*m**2 - 39*m**3 = 0.
0, 1/4, 1
Factor -52/7 - 59/7*a**2 - 1536/7*a.
-(a + 26)*(59*a + 2)/7
Let l(p) be the second derivative of p**4/54 - 46*p**3/9 - 139*p**2/9 + 798*p + 3. Factor l(d).
2*(d - 139)*(d + 1)/9
Find i, given that 93*i - 4*i**2 + 8*i**2 - 1092 + 63*i - 3*i - 25*i = 0.
-39, 7
Suppose -104*f - 161 + 369 = 0. Let k(y) be the second derivative of -1/84*y**4 - 1/21*y**3 + 0*y**f + 0 - 15*y. Factor k(c).
-c*(c + 2)/7
Let i be (-688)/430*110/4. Let j be (-104)/i - (-16)/(-44). Determine y, given that -194/3*y**j - 2/3*y**4 - 128/3 - 96*y - 12*y**3 = 0.
-8, -1
Let j(m) = 14*m**5 - 14*m**4 - 17*m**3 - 55. Let y(d) = 5*d**5 - 5*d**4 - 6*d**3 - 20. Let t(n) = 4*j(n) - 11*y(n). Find w such that t(w) = 0.
-1, 0, 2
Let b(s) be the first derivative of -7/6*s**2 - 6 + s - 1/12*s**4 + 5/9*s**3. Suppose b(n) = 0. Calculate n.
1, 3
Let m be 3/12 + 5/4. Suppose 2*i - 2 = 4*h, -15276 + 15306 = 3*h + 3*i. Let -m*v**h - 12 - 9*v**2 - 18*v = 0. Calculate v.
-2
Let m be 11421/(-188) - -62 - 26/40. Factor 0 + 3/5*b**2 - 3/5*b - m*b**4 + 3/5*b**3.
-3*b*(b - 1)**2*(b + 1)/5
Let n(u) be the third derivative of -7/3*u**3 - 61*u**2 + 0 + 0*u - 1/2*u**4 + 1/30*u**5. Solve n(z) = 0 for z.
-1, 7
Factor -68*l**3 - 5*l**4 + 10*l**4 + 21*l**3 - 76*l - 225*l**2 + 17*l**3 + 326*l.
5*l*(l - 10)*(l - 1)*(l + 5)
Let n be 1833/21 - (-10 + 8). Let g = n - 89. Factor g*k**3 - 8/7 - 4/7*k**2 - 2*k.
2*(k - 4)*(k + 1)**2/7
Let 20*m**3 + 4*m**4 - 10*m - 4*m**2 + 179030 - 10*m - 179030 = 0. What is m?
-5, -1, 0, 1
Let y(c) be the first derivative of -c**6/12 - 3*c**5/10 + 19*c**4/8 + c**3/2 - 9*c**2/2 - 807. What is j in y(j) = 0?
-6, -1, 0, 1, 3
Let r(n) = -93*n - 1 + 101*n + n**2 - 25. Let x(a) = -6*a**2 - 57*a + 183. Let p(d) = 15*r(d) + 2*x(d). Determine k so that p(k) = 0.
-4, 2
Let g = 678721/48 - 14140. Let d(p) be the third derivative of g*p**4 - 1/240*p**5 + 4*p**2 + 0 - 1/24*p**3 + 0*p. Suppose d(s) = 0. What is s?
1
Let f(r) be the third derivative of r**5/80 - 25*r**4/16 - 13*r**3 + 2279*r**2. Factor f(d).
3*(d - 52)*(d + 2)/4
Suppose -6*l + l + 15 = 0. Let j(t) = -t**3 + 4*t**2 + 6*t - 3. Let r be j(5). Determine y so that 3*y**3 + 8*y - 3*y**4 + 0*y**l - y + 3*y**r - 10*y = 0.
-1, 0, 1
What is t in -2/13*t**2 + 192/13 - 58/13*t = 0?
-32, 3
Let q(b) be the third derivative of 1/3*b**3 - 1/210*b**7 + 0*b - 53*b**2 - 1/60*b**5 + 0 + 1/40*b**6 - 1/8*b**4. Suppose q(v) = 0. What is v?
-1, 1, 2
Suppose 3*x - 2*z - 44 = 0, 2*x + 5*z - 9*z - 32 = 0. Determine q so that -20 + 3*q**2 - 60*q - x*q**2 - 12*q**2 - 2*q**2 = 0.
-2, -2/5
Let y(p) = p**3 - 5*p + 5. Let j be y(2). Let t be 4/(-24)*j*-12. Find g, given that -g**3 - 6*g - t*g**2 - g**3 + 0 - 5 + 3 = 0.
-1
Let r = 870 + -831. Let f be (-2420)/(-6435) - 6/r. Find o, given that -10/9*o - 8/9 - f*o**2 = 0.
-4, -1
Let c be (5 - -3)/1 + -5. Factor -978*q**4 - 12*q**c + 485*q**4 + 16*q + 489*q**4.
-4*q*(q - 1)*(q + 2)**2
Let p be 18/(-2) - (-16 + (-668)/(-96)). Let b(y) be the third derivative of 0*y + 0*y**3 - 1/240*y**5 + 0 + p*y**4 + 6*y**2. Factor b(z).
-z*(z - 4)/4
Let q(t) be the first derivative of 2 + 2*t**3 - 203*t + 27*t**2 - 137*t + 97*t - 3*t**3. Let q(y) = 0. What is y?
9
Suppose 4/7 + 1570/21*g**2 + 226/3*g = 0. Calculate g.
-1, -6/785
Let w be -14 + 8 + 203/28. Let f(x) be the third derivative of 0*x + 1/24*x**5 + 23*x**2 + w*x**3 + 0 + 5/12*x**4. Factor f(v).
5*(v + 1)*(v + 3)/2
Suppose 6*p - 5*p + 4*k - 1 = 0, p - 4*k - 17 = 0. Let m be -5 + (p/(-15) - (-183)/30). Determine h, given that 0 + m*h - 1/2*h**2 = 0.
0, 1
Let c(v) = -v**5 + 3*v**4 + v. Let l(t) = 5*t**5 - 450*t**4 + 1837*t**3 - 152*t**2 - 1704*t + 752. Let z(y) = -12*c(y) + 3*l(y). Find g such that z(g) = 0.
-1, 2/3, 4, 47
Factor 1323 + 1/3*r**3 + 1281*r - 125/3*r**2.
(r - 63)**2*(r + 1)/3
Let o = 10359/874 - 429/46. Find m such that 40/19 + o*m + 18/19*m**2 + 2/19*m**3 = 0.
-5, -2
Let z(i) be the third derivative of -i**5/60 - 21*i**4/8 - 102*i**3 - 6*i**2 - 89*i. Solve z(f) = 0 for f.
-51, -12
Let u = 16373 + -16371. Factor 1/7*b**3 - 9/7*b**u - 3*b - 11/7.
(b - 11)*(b + 1)**2/7
Let q(m) be the first derivative of m**9/6048 + m**8/672 + m**7/280 + 21*m**3 + 49. Let c(t) be the third derivative of q(t). Find r, given that c(r) = 0.
-3, -2, 0
Let k(m) be the second derivative of m**6/1080 + m**5/45 + 2*m**4/9 + m**3/2 + 40*m. Let c(x) be the second derivative of k(x). Factor c(o).
(o + 4)**2/3
Let f(x) be the second 