v**3/3 - 5*v**2. Let f be x(-9). Factor 3*u - 2*u**2 + 1 + 3 - 13*u + 10*u**2 - f*u**3.
-2*(u - 2)*(u - 1)**2
Let x(g) = -3*g**3 - 3*g + 2. Suppose 425*h = 428*h - 12. Let y(d) = 2*d**3 + 3*d - 2. Let w(r) = h*y(r) + 3*x(r). Factor w(q).
-(q - 1)**2*(q + 2)
Suppose 0 = -14*i + 46 + 24. Factor w**4 - 50*w**5 - 5*w**4 + 0*w**4 + 6*w**3 + 48*w**i.
-2*w**3*(w - 1)*(w + 3)
Factor b**2 + 4 - 3/2*b**3 + 6*b - 1/2*b**4.
-(b - 2)*(b + 1)*(b + 2)**2/2
Let v(k) = -65*k**3 - 3500*k**2 - 29085*k - 75330. Let l(c) = 3*c**3 + 159*c**2 + 1322*c + 3424. Let f(q) = 45*l(q) + 2*v(q). Solve f(a) = 0.
-19, -6
Suppose 10/7*s**3 - 97/7*s**2 - 10/7*s + 96/7 + 1/7*s**4 = 0. What is s?
-16, -1, 1, 6
Let f = -1647760/3 - -549270. Solve -4/3*t**5 + 4/3*t**3 - 8*t - 17/3*t**4 + f*t**2 - 3 = 0 for t.
-3, -1/4, 1
Suppose -2010*y = -890 - 7150. Determine p so that -105*p**2 + 0 - 25*p**3 - 5/3*p**y - 245/3*p = 0.
-7, -1, 0
Let z(v) be the second derivative of 34/3*v**3 + 2*v**4 - 2*v + 21 - 6*v**2. Factor z(s).
4*(s + 3)*(6*s - 1)
Let r = 25495/396 + -2471/44. Factor -r*i - 2/9*i**2 + 0.
-2*i*(i + 37)/9
Let q(c) be the third derivative of 1/90*c**5 + c**2 - 45 + 0*c - 19/9*c**4 + 1444/9*c**3. Solve q(t) = 0 for t.
38
Let j(t) = -108*t**2 - 808*t + 796. Let i(o) = 41*o**2 + 270*o - 266. Let k(u) = -8*i(u) - 3*j(u). Factor k(q).
-4*(q - 65)*(q - 1)
Let l(n) = n**3 - 7*n**2 + 2*n - 14. Let i be (6 + -7)/1*14/(-2). Let t be l(i). Factor 6*s**2 + t*s**3 - s**3 + 5*s**3 - 22*s**2.
4*s**2*(s - 4)
Let k be ((-70)/(-45) + -2)*(-75)/100. Suppose 1/3*v**3 + 0 + k*v**2 + 0*v = 0. What is v?
-1, 0
Suppose -209 = -12*d - 689. Let f be d/48 + (-21)/(-14). Factor 1/3 + f*x + 1/3*x**2.
(x + 1)**2/3
Let m be (0/1 - (-2 + 1))*-1583. Let n = -1583 - m. Solve n - 4*v**2 - 1/2*v - 19/2*v**3 - 6*v**4 = 0.
-1, -1/3, -1/4, 0
Let p be (27 - 5180/220) + 24/44. Suppose -28/13*x - 6/13*x**p + 32/13*x**2 + 6/13 - 4/13*x**3 = 0. What is x?
-3, 1/3, 1
Let k(o) be the third derivative of 1/390*o**5 + 31/78*o**4 + 129*o**2 + 0*o + 961/39*o**3 + 0. Factor k(c).
2*(c + 31)**2/13
Let v(z) = 10*z**2 + 406*z + 2636. Let l(x) = -14*x**2 - 542*x - 3518. Let j(n) = 8*l(n) + 11*v(n). Factor j(u).
-2*(u - 71)*(u + 6)
Let s = 31598675/98 - 322422. Let p = s - -2/49. Find t such that -6*t**2 - p - 45/2*t = 0.
-3, -3/4
Let j(y) = -11*y**2 + 85*y - 233. Let n(g) = 3*g**2 - 22*g + 78. Let z(h) = 4*j(h) + 14*n(h). Factor z(q).
-2*(q - 20)*(q + 4)
Let t(u) be the first derivative of 29/4*u**4 + 22*u**2 - 32*u + 1/2*u**5 - 238 + 26*u**3. Factor t(x).
(x + 2)**2*(x + 8)*(5*x - 2)/2
Let i(t) be the first derivative of 5*t**4/8 - 55*t**3/3 + 95*t**2 - 180*t + 918. Factor i(f).
5*(f - 18)*(f - 2)**2/2
Let w(t) be the first derivative of -t**3/3 - 205*t**2/2 - 876. Factor w(s).
-s*(s + 205)
Suppose 3*k = 6*k. Suppose -3*j - 4*a + 31 = -0*j, k = -a - 2. What is y in 0*y**2 + y + 2 + 6*y + j*y**2 + 8*y = 0?
-1, -2/13
Let s(i) be the first derivative of 88 - 30*i**3 - 25/2*i**4 - 8*i - 24*i**2. Factor s(b).
-2*(b + 1)*(5*b + 2)**2
Let w(t) be the first derivative of -t**6/6 - 67*t**5/4 - 1657*t**4/4 + 8063*t**3/6 - 1376*t**2 + 1849*t/4 + 1103. Find a such that w(a) = 0.
-43, 1/4, 1
Let n(x) = -x**3 + 14*x**2 - 1360*x + 17513. Let r be n(13). Find d, given that 20/3*d**r - 292/3*d - 40 = 0.
-2/5, 15
Let d(y) = -2*y**3 - 18*y**2 + 15*y + 7. Let b be d(-10). Factor -6*v - 4*v**3 - 17*v**2 - 58*v + b*v**2.
-4*v*(v - 8)*(v - 2)
Let f = 386 - 1154/3. Suppose 2*k + 2 = 0, -20 = 2*q + k - 27. Find t, given that -f - 2*t**3 + 4/3*t + 11/3*t**2 - 3*t**q = 0.
-1, 2/3
Let s = -16825 - -16828. Let i(j) be the first derivative of 4*j - 5/6*j**s + 24 + 9/2*j**2. Factor i(h).
-(h - 4)*(5*h + 2)/2
Let c be -11 - (1477231/(-120645) + 2 + 12/(-10)). Let r = -8 - -11. Suppose c + 4/9*b**r + 4/3*b + 4/3*b**2 = 0. What is b?
-1
Let z(f) = 51*f - 24 - 35*f - f**2 + 0*f**2. Let q be z(14). Factor -3*b**q + 2*b**4 + 8*b**3 - 3*b**4 + 4*b**2 + b - 9*b.
-4*b*(b - 2)*(b - 1)*(b + 1)
Let h be ((-4)/22 + (-1292)/154)*-7. Suppose -4*g - 16 + h = 0. Solve -r**4 + 12 - 51*r + 86*r**3 - 24*r**5 + 38*r**2 - 49*r**4 - g*r = 0 for r.
-3, -1, 1/4, 2/3, 1
Let -476/15*t**2 - 4/15*t**3 + 158/5*t**4 - 78/5*t + 238/15*t**5 + 2/15 = 0. What is t?
-1, 1/119, 1
Let p(v) be the first derivative of -11*v**3/3 - 34*v**2 + 160*v + 282. Let s(h) = -95*h**2 - 610*h + 1440. Let x(b) = -35*p(b) + 4*s(b). Factor x(r).
5*(r - 8)*(r - 4)
Suppose 0 = -8*o - 18*o + 30966. Let t = o - 1187. What is d in 0*d**2 - 2/5*d**5 + 4/5*d**t - 2/5*d**3 + 0 + 0*d = 0?
0, 1
Let d = -2861/1092 + 246/91. Let j(t) be the second derivative of -d*t**4 + 1/2*t**2 + 0 + 1/40*t**5 - 1/12*t**3 + 18*t. Let j(l) = 0. What is l?
-1, 1, 2
Solve 4/3*f + 224/9 - 2/9*f**2 = 0 for f.
-8, 14
Let q = -15032/3 - -5012. Let n be ((-1)/(-6))/((-6)/(-24)). Factor -n*j**2 - 2/3*j + q.
-2*(j - 1)*(j + 2)/3
Let j(n) be the first derivative of 1/8*n**4 + 13/6*n**3 - 223 + 18*n + 10*n**2. Solve j(w) = 0.
-9, -2
Let w(v) be the second derivative of -v - 128/7*v**2 - 3/7*v**4 - 32/7*v**3 - 31 - 1/70*v**5. Find l such that w(l) = 0.
-8, -2
Let w(y) be the third derivative of y**6/72 - 11*y**5/6 + 605*y**4/6 - 14*y**3 - 3*y**2 + 11. Let t(j) be the first derivative of w(j). Factor t(i).
5*(i - 22)**2
Factor 35*h**3 - 1102*h**2 - 4620*h - 1160 - 189*h**2 - 659*h**2.
5*(h - 58)*(h + 2)*(7*h + 2)
Let 73/2*a**2 - 630 + 6*a - 1/2*a**4 + 0*a**3 = 0. Calculate a.
-6, 5, 7
Let a(n) = -4*n**2 + 2*n + 7. Let s(i) = 71*i**2 - 22*i + 1269. Let j(o) = -90*a(o) - 5*s(o). Factor j(v).
5*(v - 45)*(v + 31)
Let c be (-18)/78*234/(-27). Let l(p) be the second derivative of 24*p + 1/16*p**4 - 1/80*p**5 + 5/8*p**c + 0 + 3/8*p**3. Let l(n) = 0. What is n?
-1, 5
Suppose 3*t = 4*m - 17, 9 = 5*m + 24*t - 40*t. Factor 0*y - 15/4*y**3 + 0*y**4 + 5/2*y**2 + 0 + 5/4*y**m.
5*y**2*(y - 1)**2*(y + 2)/4
What is x in -16*x**2 + 180*x - 180*x + 91*x**3 - 3*x**5 + 21*x**4 - 8*x**2 - x**5 = 0?
-3, 0, 1/4, 8
Let x be (9*(-8)/2268)/(9/(-42)). Let h(l) be the second derivative of 2/9*l**2 + 0 + 7/27*l**3 + 4*l + 1/30*l**5 + x*l**4. Factor h(n).
2*(n + 1)**2*(3*n + 2)/9
Let g(r) be the second derivative of 0*r**2 - r - 5/12*r**4 + 3 + 0*r**3. Let g(x) = 0. Calculate x.
0
Let m(x) = 4*x**2 - 17*x - 10. Let v = 361 + -356. Let y be m(v). Solve -q**4 + 2*q**2 - q**3 + 1/2*q**y - 1 + 1/2*q = 0 for q.
-1, 1, 2
Let y(o) = 5*o**2 + 6*o + 5. Let t be y(11). Factor 3*v**2 + v**2 - 28*v + t - 50*v + 143*v + 39*v.
4*(v + 13)**2
Let y(z) be the third derivative of -z**6/1080 + 29*z**5/9 - 42050*z**4/9 + 97556000*z**3/27 - 11*z**2 + 163. Factor y(j).
-(j - 580)**3/9
Factor 21/2*p**4 - 57*p**3 + 117/2*p**2 + 0 + 54*p.
3*p*(p - 3)**2*(7*p + 4)/2
Suppose -l = 212*j - 207*j - 661, -665 = -5*j - 5*l. Let o be 30/4*(16/j + 0). Factor 4/11 + o*x**2 - 2*x.
2*(x - 2)*(5*x - 1)/11
Let d be (13/2 - 2)*2. Let 12*p**2 - 32 - 5*p + 6*p - d*p = 0. Calculate p.
-4/3, 2
Let v = 4497/4 + -13489/12. Let t(x) be the first derivative of 8 - 4/9*x**3 + 0*x + 0*x**2 + v*x**4. Determine w so that t(w) = 0.
0, 2
Let 436/7*b**3 + 1200/7*b + 1156/7*b**2 + 44/7*b**4 + 432/7 - 4/7*b**5 = 0. Calculate b.
-3, -2, -1, 18
Suppose 8/11*l**4 + 402/11 + 2170/11*l**2 - 1748/11*l - 568/11*l**3 = 0. What is l?
1/2, 3, 67
Let l = -87/34 - -190/51. Let s(x) be the first derivative of -1/12*x**4 - 5/9*x**3 - x - 15 - l*x**2. Solve s(a) = 0 for a.
-3, -1
Suppose -110*v + 101*v = -36. Let q be v + 10 + (-120)/9. Factor 2/9*m**5 - 4/9 - 8/9*m**3 + q*m + 4/9*m**2 + 0*m**4.
2*(m - 1)**3*(m + 1)*(m + 2)/9
Solve -103*o + 2*o**2 - 7*o**2 - 97*o - 46027 + 45647 = 0.
-38, -2
Let k = 274/221 - -2608/1105. Let k*r**2 + 0 + 2/5*r**3 + 0*r = 0. What is r?
-9, 0
Let n(t) be the second derivative of -15*t**5 + 355*t**4/4 - 118*t**3 + 66*t**2 + 2331*t. Suppose n(f) = 0. Calculate f.
2/5, 11/4
Let p = 27 + -34. Let q(z) = -z + 1. Let r be q(p). Factor -r + 3*f**2 - 9 + 23 - 9*f.
3*(f - 2)*(f - 1)
Let h(m) be the third derivative of -m**6/160 - 2*m**5 - 77*m**4/2 - 304*m**3 + 2634*m**2. Solve h(x) = 0.
-152, -4
Let a = -436775959/433986 - -7/61998. Let s = a + 1009. Factor 2/7*f**3 - 12/7*f**2 - 8/7 + s*f.
2*(f - 4)*(f - 1)**2/7
Suppose o = -8*o + 216. Suppose -3*y - o = -3*d + d, y = 2. Factor -9*q**3 + 2*q**3 + d*q**2 - 7*q - 5*q**3 + q + 3*