**5 + 252038/11*n**3 - 22528 + 67712*n.
2*(n - 352)**2*(n - 1)**3/11
Let y(x) be the second derivative of x**5/40 - 17*x**4/12 + 32*x**3 - 360*x**2 - 26*x + 3. Factor y(m).
(m - 12)**2*(m - 10)/2
Let x = -7069 - -21211/3. Factor -58/3*d**3 - x*d**4 + 0 - 224/3*d**2 - 98/3*d.
-2*d*(d + 7)**2*(2*d + 1)/3
Let b = 521635/32 - 16301. Let h(r) be the third derivative of -11*r**2 + 0 + 0*r**3 - b*r**4 - 1/80*r**5 + 0*r. What is g in h(g) = 0?
-3, 0
Let u = 9/331 - -19027/6289. Suppose -1217 = 4*z - 1225. Solve 56/19*d**5 - 58/19*d**3 + 62/19*d**z - 4/19 + 2/19*d - u*d**4 = 0.
-1, -1/4, 2/7, 1
Factor -4*t**3 + 308 + 336*t + 3*t**4 - 361 - 104*t**2 + t**4 - 235.
4*(t - 3)*(t - 2)**2*(t + 6)
Find s such that -s**5 + 3724/3*s**2 - 1466/3*s**3 - 361*s + 124/3*s**4 + 0 = 0.
0, 1/3, 3, 19
Let s(i) be the first derivative of -i**4/20 + 5*i**3/3 + i**2/10 - 5*i - 2257. Find q, given that s(q) = 0.
-1, 1, 25
Suppose 762*d + 286*d + 795*d - 4980 = -647*d. Factor 1/3*x**d + 0 + 0*x + x**4 + x**3 + 1/3*x**5.
x**2*(x + 1)**3/3
Let q(j) be the first derivative of 5*j**4/4 + 45*j**3 - 70*j**2 - 121. What is u in q(u) = 0?
-28, 0, 1
Suppose 2*d - 4*j + 90 - 286 = 0, 0 = -4*d - 5*j + 340. Suppose 2 = -44*b + d. Solve -1/2 + 1/2*f**b + 0*f = 0.
-1, 1
Let d(o) be the third derivative of o**8/1008 + o**7/105 + 13*o**6/360 + o**5/15 + o**4/18 + 1078*o**2. Factor d(p).
p*(p + 1)**2*(p + 2)**2/3
Find q, given that 5/4*q**3 - 1/4*q**4 + 23/2*q**2 + 0 + 10*q = 0.
-4, -1, 0, 10
Let h(v) be the first derivative of v**6/9 - 22*v**5/15 + 20*v**4/3 - 88*v**3/9 - 32*v**2/3 + 128*v/3 - 289. Let h(o) = 0. What is o?
-1, 2, 4
Let v(c) be the third derivative of -c**8/84 - 2*c**7/21 - 3*c**6/10 - 7*c**5/15 - c**4/3 + 1259*c**2. Factor v(z).
-4*z*(z + 1)**3*(z + 2)
Suppose 29*j + 5*d + 21 = 32*j, 11*d = 2*j - 37. Factor 0 - 1/2*o**3 + o - 1/2*o**j.
-o*(o - 1)*(o + 2)/2
What is m in -8820*m**2 - 168*m**3 + 0 - 4/5*m**4 + 0*m = 0?
-105, 0
Suppose -37*v - 570 = -32*v. Let x be v/(-240) + ((-27)/24)/(-9). Factor 0 + 0*g + 3/5*g**3 - x*g**2.
3*g**2*(g - 1)/5
Let u(o) = -14*o**3 - 1298*o**2 - 12*o + 5184. Let b(m) = 37*m**3 + 2597*m**2 + 22*m - 10368. Let n(k) = 2*b(k) + 5*u(k). Solve n(q) = 0 for q.
-2, 2, 324
Suppose 0 = -8*h - 5*o - 39, 0 = 3*h + 3*o - 13 + 40. Factor 2/5*k**3 + 1/5*k**4 + 3/5 - 2/5*k - 4/5*k**h.
(k - 1)**2*(k + 1)*(k + 3)/5
Let s = -149/105 - -59/35. Factor -2/15*q**3 + 6/5*q - s*q**2 + 12/5.
-2*(q - 3)*(q + 2)*(q + 3)/15
Let d = -4264925480/847 + 5035330. Let y = -2/847 - d. Let y*i - 2/7*i**3 - 16/7 + 4/7*i**2 = 0. Calculate i.
-2, 2
Let -3807/4*u - 3/8*u**2 - 4831083/8 = 0. What is u?
-1269
Let q(c) = -8*c**2 - 198*c - 319. Let t be q(-23). Let u(d) be the second derivative of -7*d + 0 + 0*d**2 - 1/6*d**4 + d**t. Factor u(g).
-2*g*(g - 3)
Suppose 3*i = -12, -14*f + 12*f = 4*i + 12. Factor -100*p - p**2 + 0*p**f - 7 + 92*p.
-(p + 1)*(p + 7)
Let p be (-7)/(-2)*-37*228/(-49210). Find v, given that 0 - 3/5*v - p*v**2 = 0.
-1, 0
What is i in i**3 + 3*i**2 - 2*i**3 - 2674*i + 2681*i + 3*i**2 = 0?
-1, 0, 7
Let z be -6 - (3 - (-7 - -8)). Let x be z - 19/((-456)/208). Let 1/6*p**2 + x - 2/3*p = 0. Calculate p.
2
Suppose -2*i - 8 = -6*i. Let g = -86425/9 - -9603. Find k such that -32/9 - g*k**i - 16/9*k = 0.
-4
Let z(s) be the third derivative of -s**6/780 - 11*s**5/39 - 107*s**4/39 - 424*s**3/39 - 51*s**2 - 34*s. Factor z(r).
-2*(r + 2)**2*(r + 106)/13
Let 0*p + 768/5*p**2 + 0 - 3/5*p**5 + 69/5*p**4 + 168*p**3 = 0. Calculate p.
-8, -1, 0, 32
Let n(m) be the second derivative of m**7/168 + 37*m**6/120 + 319*m**5/80 + 863*m**4/48 + 10*m**3/3 - 325*m**2/2 + 7579*m. Solve n(f) = 0 for f.
-26, -5, -2, 1
Let j = 176 - 174. Suppose 16*q - 283*q**2 - 283*q**2 + 562*q**j = 0. Calculate q.
0, 4
Let r = 10701/14 - 201023/266. Let -r*x - 14/19*x**2 + 48/19 = 0. Calculate x.
-12, 2/7
Let g = 29522 + -442828/15. Let f(v) be the first derivative of 3/10*v**4 - 22/45*v**3 - 12 + g*v**2 + 0*v. Factor f(d).
2*d*(d - 1)*(9*d - 2)/15
Let p(b) = -12*b - b**3 + 17*b**2 - b**2 - 2*b**2 - 10 + 0. Let q be p(13). Factor 4*h**q + 7*h**4 - 1 - 6*h**2 + 6*h - 6*h**3 - 3*h - 3*h**5 + 2*h.
-(h - 1)**3*(h + 1)*(3*h - 1)
Let q = -194322 - -194324. Factor 1/6 + 1/6*v**q - 1/3*v.
(v - 1)**2/6
Let -1/3*c**5 - 188/3*c**2 + 0 + 76/3*c + 49*c**3 - 34/3*c**4 = 0. What is c?
-38, 0, 1, 2
Let q(f) = -f**2 - 8*f + 15. Let x be q(-10). Let j be (-14)/x + (-5)/(-25). Factor -4*u**3 + 5*u**3 - u**j - 3*u**3 + 3*u.
-3*u*(u - 1)*(u + 1)
Let a = 511/8 + -125/2. Let t = 4433/34824 + -10/4353. Factor a*g**2 + t*g**3 - 9/2 + 3*g.
(g - 1)*(g + 6)**2/8
Let w = -150 - -148. Let n be (-154)/(-136) - (56/238)/w. Solve -3*l + n*l**2 + 1 = 0 for l.
2/5, 2
Factor 396*q**5 - 159*q**5 - 236*q**5 + 143*q - 430*q**2 + 432*q**3 - 146*q**4.
q*(q - 143)*(q - 1)**3
Let p(o) = o**2 - 2*o + 12. Let x be 2/8 - 7/28. Let q be p(x). Find w, given that -2 + 4*w - 22 - q*w**2 + 16*w**2 = 0.
-3, 2
Let h(w) be the second derivative of -4/17*w**2 - 48*w + 1/255*w**6 - 4/51*w**3 + 1/34*w**4 + 0 + 2/85*w**5. Solve h(r) = 0.
-2, -1, 1
Let z(v) = 10*v**4 - 20*v**3 - 30*v**2 + 85*v + 35. Let p(j) = -15*j**4 + 30*j**3 + 44*j**2 - 134*j - 53. Let d(f) = -5*p(f) - 8*z(f). Factor d(o).
-5*(o - 3)*(o - 1)*(o + 1)**2
Let c(s) be the second derivative of -s**6/10 + 3*s**5/10 - s**3 + 3*s**2/2 - 981*s. Factor c(o).
-3*(o - 1)**3*(o + 1)
Find l such that -88/3*l**4 + 2*l**5 + 0*l + 0 - 10*l**3 + 0*l**2 = 0.
-1/3, 0, 15
Determine v, given that 0*v + 639/8*v**3 + 0 + 3/8*v**5 - 321/4*v**4 + 0*v**2 = 0.
0, 1, 213
Factor 39/2*n + 3/4*n**2 + 0.
3*n*(n + 26)/4
Let b(h) = -h**2 + 1. Let m = 21 + -39. Let w(d) = 10*d**2 + 7*d + 1. Let j(i) = m*b(i) - 2*w(i). Factor j(u).
-2*(u + 2)*(u + 5)
Let a = -4508 + 4508. Let s(p) be the third derivative of 3/100*p**5 + 0 - 1/200*p**6 + 0*p + a*p**3 + 5*p**2 - 1/20*p**4. Factor s(q).
-3*q*(q - 2)*(q - 1)/5
Suppose -13*q**2 + 106198*q**3 - 106195*q**3 + 96 - 5*q**2 = 0. What is q?
-2, 4
Let c(u) = -u**4 + 4*u**2 - u - 1. Let a(t) = -119*t**4 + 352*t**3 - 253*t**2 + 52*t + 2. Let p(q) = 3*a(q) + 6*c(q). Find o, given that p(o) = 0.
0, 5/11, 2
Let j(i) = -123*i**2 - 624*i + 1425. Let q(f) = -60*f**2 - 310*f + 713. Let v(b) = -7*j(b) + 15*q(b). Factor v(c).
-3*(c - 2)*(13*c + 120)
Let n(l) be the first derivative of -22*l**3 + 13/2*l**4 + 31*l**2 + 271 - 2/5*l**5 - 20*l. Solve n(j) = 0 for j.
1, 10
Let p = -56341 + 56343. Factor -32/5*x**p - 4/5*x**3 + 36/5*x + 0.
-4*x*(x - 1)*(x + 9)/5
Find l such that 50/3*l + 1/3*l**2 + 49/3 = 0.
-49, -1
Let h(n) = 10*n**2 + 1984*n - 488068. Let s(q) = -13*q**2 - 1986*q + 488067. Let x(d) = -5*h(d) - 4*s(d). Factor x(u).
2*(u - 494)**2
Let j(m) = m**3 - 3*m**2 - 10*m + 3. Suppose -4*h - 3*d + 22 = 5, 5*h = -3*d + 22. Let p be j(h). Factor 0*k**4 - 4*k - 2*k**4 + 68*k**3 + 5 - 3 - 64*k**p.
-2*(k - 1)**3*(k + 1)
What is s in 10/3*s**3 - 16/3*s - 2/3*s**2 + 2/3*s**4 - 8/3 - 2/3*s**5 = 0?
-1, 2
Let o(c) be the first derivative of -18*c**2 + 218*c - 187. Let l be o(6). Suppose -1/9*v**l + 5/9*v - 4/9 = 0. What is v?
1, 4
Let z(s) be the third derivative of -s**5/300 - 287*s**4/120 - 143*s**3/15 + 59*s**2 + 2*s. Solve z(t) = 0 for t.
-286, -1
Let s(n) = n**3 - 18*n**2 - 17*n + 25. Let q be s(19). Suppose -9*f - q = -90. Suppose -9/2 + 1/4*w**4 + 3/4*w - 7/4*w**f + 13/4*w**2 = 0. What is w?
-1, 2, 3
Let f(m) be the third derivative of -m**6/120 - 349*m**5/60 + 21*m**2 - 12*m. Find s, given that f(s) = 0.
-349, 0
Let s(v) be the third derivative of -251*v**6/360 - 503*v**5/180 - 253*v**4/72 - v**3/18 - 178*v**2 + 2*v - 6. Factor s(k).
-(k + 1)**2*(251*k + 1)/3
Let q(y) = -4*y - 40. Let o be q(-12). Suppose 2*v = -3*k - 1, 2*k - o - 18 = 4*v. Let -5*c**4 - 5*c**2 - 12 - 15*c + 19 + k + 15*c**3 = 0. What is c?
-1, 1, 2
Suppose -2*b = 2*b - 36. What is k in k**3 + k + 3*k**2 + 3*k - 3 + 4*k - b*k = 0?
-3, -1, 1
Let v = 137850604/559863 - -12/62207. Let k = v + -246. Factor 0*z**2 + 0*z**4 + 0 - 1/9*z + k*z**3 - 1/9*z**5.
-z*(z - 1)**2*(z + 1)**2/9
Let j(x) = 388*x - 370. Let r be j(1). Let b(n) be the second derivative of -1/15*n**5 + 0 + 0*n**2 - 25*n + 2*n**4 - r*n**3. Factor b(q).
-4*q*(q - 9)**2/3
Factor -4/9*q**2 - 68/9*q + 152/9.
-4*(q - 2)*(q + 19)/9
Suppose 1309 = 34*u + 32*u + 53*u. Let f(l) be the f