+ 16*u**5/75 + u**4/5 - 16*u**3/15 - 169*u**2. Suppose f(v) = 0. Calculate v.
-4, -2, -1, 2/3, 1
Let l be (2/(-712))/((-21)/20062 + 0). Let o = -3/178 + l. Determine j so that 0 + 0*j + o*j**2 - 5/3*j**4 - 1/3*j**5 - 2/3*j**3 = 0.
-4, -2, 0, 1
Find d such that 64/7*d**2 - 68/7 - 72/7*d**3 + 4/7*d**4 + 72/7*d = 0.
-1, 1, 17
Let j(h) = -h**4 + 240*h**3 - 226*h**2 - 234*h + 242. Let v(c) = 3*c**4 - 480*c**3 + 454*c**2 + 470*c - 482. Let b(u) = 5*j(u) + 3*v(u). Factor b(r).
4*(r - 59)*(r - 1)**2*(r + 1)
Let w(f) be the first derivative of -f**7/840 + f**5/120 - 8*f**3/3 - 28. Let m(z) be the third derivative of w(z). Let m(s) = 0. What is s?
-1, 0, 1
Let x be ((-7062)/2370 - -3)*(-10)/(-4). Let b = 226/1343 - x. Solve -2/17*y + 0 - b*y**2 = 0.
-1, 0
Let b be 10/8 + (2805/(-1404))/5. Let l = 1/26 + b. Factor -8/9*m - l - 2/9*m**2.
-2*(m + 2)**2/9
Let v be (1/8)/(8/64). Let f be -5 - (v + 90/(-8)). Factor 3/4*c**2 + 9/2 + f*c.
3*(c + 1)*(c + 6)/4
Let x(d) = 4*d**2 + 51*d + 1. Let n be x(-21). Suppose 684*k - n*k - 4 - 1 - 5*k**2 = 0. Calculate k.
-1
Let u(q) be the first derivative of -13 + 0*q**2 + 1/80*q**5 + 1/12*q**4 - 9*q + 1/6*q**3. Let d(g) be the first derivative of u(g). Factor d(v).
v*(v + 2)**2/4
Let c be 0*(-5 + (-208)/(-40)). Suppose -3*d - 3*u + 15 = 0, c*d - 4*u = 2*d - 20. Determine p so that 4/9*p**4 + d + 2/9*p**5 - 2/9*p**3 - 4/9*p**2 + 0*p = 0.
-2, -1, 0, 1
Suppose 183*p = 327*p - 173*p. Factor -10/3*m**4 + 2/3*m**5 + 6*m**2 + p + 0*m + 2*m**3.
2*m**2*(m - 3)**2*(m + 1)/3
Let n(c) = 16*c**2 - 4*c + 24. Let p(s) = -5*s**2 + 2*s - 8. Let r(q) = -3*q**2 - 5*q + 15. Let i be r(-3). Let k(h) = i*n(h) + 10*p(h). Factor k(g).
-2*(g - 2)**2
Let m(p) be the third derivative of 1/100*p**5 + 0 - 8/5*p**3 + 0*p**4 + 3*p**2 + 34*p. Factor m(g).
3*(g - 4)*(g + 4)/5
Suppose 1 = r, -16 = 3*h - h - 2*r. Let o(d) = -6*d**2 - 7*d - 23. Let i(x) = 5*x**2 + 6*x + 22. Let g(f) = h*i(f) - 6*o(f). Factor g(s).
(s - 4)*(s + 4)
Let k be (2/12)/(((-56)/(-66))/((-2096)/(-2882))). Determine g so that -4*g + k*g**2 - 29/7 = 0.
-1, 29
Factor -562452*g - 562264*g + 10*g**2 + 1124888*g + 624.
2*(g + 12)*(5*g + 26)
Factor -13720/3 - 5/3*u**3 + 70/3*u**2 + 980/3*u.
-5*(u - 14)**2*(u + 14)/3
Suppose -13 + 28 = 5*d. Suppose -5*g - c + 6 = 0, -g + c = -9 + d. Factor -1/4 - 1/4*i**3 + 1/4*i**g + 1/4*i.
-(i - 1)**2*(i + 1)/4
Let f be 201 - 201 - (-33)/9 - 3. Solve f + 2/3*c - 4/3*c**3 + 2/3*c**5 - 4/3*c**2 + 2/3*c**4 = 0 for c.
-1, 1
Suppose -666*z + 1168 = 43 - 207. Let -48*o**3 + 151959/7 + 12654/7*o**z - 164280/7*o + 3/7*o**4 = 0. Calculate o.
1, 37
Let j(k) = 2*k**3 - 25*k**2 - 17*k + 49. Let n be j(13). Let a be 60/135*(3 - n/(-6)). Solve 8/9*q - 8/9 + 26/9*q**2 + a*q**3 = 0 for q.
-2, -1, 2/5
Let z(u) = 5. Let x(c) = c - 1. Let a(p) = -5*x(p) - z(p). Let v be a(-2). Factor 25 + v*w - 25*w + 3*w**2 - 7.
3*(w - 3)*(w - 2)
Let n(p) be the first derivative of 2/3*p**3 - 48*p + 2*p**2 - 178. Solve n(z) = 0 for z.
-6, 4
Let u(q) be the first derivative of q**6/255 + q**5/170 - q**4/51 + 40*q + 30. Let b(o) be the first derivative of u(o). Factor b(d).
2*d**2*(d - 1)*(d + 2)/17
Let w(i) = -12*i**3 + 4*i**2 + 8*i. Let u(o) = 34*o**3 - 12*o**2 - 24*o. Suppose -25*b = b + 286. Let q(r) = b*w(r) - 4*u(r). What is f in q(f) = 0?
-1, 0, 2
Suppose 11*q + q = 2460. Let j be 4/18 + q/90. Factor -1/2*w**2 + 3 + j*w.
-(w - 6)*(w + 1)/2
Suppose 6*c + 28 = 13*c. Suppose c*y + 3*d = 86, -y = 4*y - 4*d - 92. Factor 391*n - 7 - 407*n + y*n**2 + 3.
4*(n - 1)*(5*n + 1)
Let x be ((-549219)/16148)/17 - -2. Let l = x - -2953/24956. Factor 0*r + 0 - 2/17*r**3 + 0*r**2 - l*r**4.
-2*r**3*(r + 1)/17
Let w be (-515)/(-10) + 15/(-6) + 3. Let s be w/(-60) - (-13)/13. Factor -s*a**3 + 8/15 + 2/3*a**2 - 16/15*a.
-2*(a - 2)**2*(a - 1)/15
Determine r so that -2974*r**3 + 145*r**2 + 2971*r**3 - 583*r**2 + 3648*r - 7392 = 0.
-154, 4
Let u = -369 + 371. Factor 2*t**2 + 285*t - 4*t**2 + 2*t**3 + 18*t**u - 373*t + 96.
2*(t - 2)**2*(t + 12)
Let x(s) be the third derivative of -s**8/151200 + s**7/1890 - 27*s**5/20 - 103*s**2. Let g(j) be the third derivative of x(j). Determine d so that g(d) = 0.
0, 20
Let m be ((-7)/((-70)/8)*-1)/((-198)/1155). Factor m*y**3 - 2/3*y**4 - 22/3*y**2 + 10/3*y + 0.
-2*y*(y - 5)*(y - 1)**2/3
Let s be (1 - -12) + ((-55)/(-11) - 7). Suppose -6*c = s*c - 34. Factor -3/7*v**c - 30/7*v - 75/7.
-3*(v + 5)**2/7
Suppose 11*j = -1648 + 1670. Let t be -1*(-2)/7 + (-9)/(-9). Factor -3*a**j + 15/7*a + t*a**3 - 3/7.
3*(a - 1)**2*(3*a - 1)/7
Suppose 49*d = 48*d + 14. Let x(a) = a**4 - a**3 - a**2 - 2*a + 1. Let g(l) = 9*l**4 - 2*l**3 - 10*l**2 - 14*l + 7. Let j(s) = d*x(s) - 2*g(s). Factor j(m).
-2*m**2*(m + 3)*(2*m - 1)
Suppose -17518*p = -17519*p - 4, 2*x + 22 = -13*p. Suppose 27/2*y**2 + 6 + 3/4*y**4 + x*y + 21/4*y**3 = 0. Calculate y.
-2, -1
Let x be (-14)/91 - (-111)/(-39). Let z(p) = 15*p**3 - 15*p. Let r(u) = 16*u**3 - u**2 - 16*u + 1. Let k(d) = x*z(d) + 2*r(d). Factor k(n).
-(n - 1)*(n + 1)*(13*n + 2)
Let q = 80/1059 + 444/353. Factor 8/3 + q*s**2 + 6*s.
2*(s + 4)*(2*s + 1)/3
Let n(q) be the first derivative of -2*q**3/27 + 86*q**2/9 + 178*q/3 + 1248. Factor n(o).
-2*(o - 89)*(o + 3)/9
Let h(l) = l + 4. Let a be h(-6). Let z be (-7 - -10) + (a - -1). Factor 8*c**2 + 4*c + 1 - 3*c**2 + z*c**3 - 5*c**2 + 5*c**2.
(c + 1)**2*(2*c + 1)
Let v(k) be the first derivative of -65/4*k**4 - 5/6*k**6 - 8*k**5 - 160*k + 80*k**2 + 110/3*k**3 + 31. Suppose v(f) = 0. Calculate f.
-4, -2, 1
Let a be (2/(-20))/(10/(-75)). Let m be (-30 + 30)/(3 - 2). Determine p so that -3/4*p**4 - a*p**5 + m + 0*p**3 + 0*p**2 + 0*p = 0.
-1, 0
Let f(c) be the second derivative of -16*c**6/15 + 524*c**5/15 - 16897*c**4/54 - 2882*c**3/27 - 121*c**2/9 + 24*c + 12. Factor f(l).
-2*(l - 11)**2*(12*l + 1)**2/9
Suppose 235*x = 80*x + 465. Let r(j) be the first derivative of -10/3*j**2 - 100/3*j - 1/9*j**x + 10. Suppose r(w) = 0. Calculate w.
-10
Let b(j) = -39*j**2 + 526*j + 1828. Let o(q) = 158*q**2 - 2102*q - 7326. Let t(x) = -9*b(x) - 2*o(x). Factor t(g).
5*(g - 18)*(7*g + 20)
Let n be 444/36 + (-2)/(-3). Factor -42*k**3 + 14 + 27*k**3 + 5*k - 3*k - k**4 + n*k - 13*k**2.
-(k - 1)*(k + 1)**2*(k + 14)
Let f(h) = -h**3 - h - 1. Suppose -15 = g + 3*o, 5*g - o = -0*o - 27. Let b(q) = 3*q**3 + 17*q**2 + 14*q - 6. Let n(c) = g*f(c) - b(c). What is s in n(s) = 0?
-1, 2/3, 6
Factor 636*b**2 + 160 + 91*b + 113*b + 0*b**3 - 600*b**2 - 8*b**3.
-4*(b - 8)*(b + 1)*(2*b + 5)
Let g(v) be the first derivative of -8*v**5/5 + 139*v**4/2 + 3670*v**3/3 + 450*v**2 + 5752. Let g(q) = 0. Calculate q.
-10, -1/4, 0, 45
Suppose 0 = 5*k - 18*r + 14*r - 429, -3*k - 3*r = -252. Let o = 263/3 - k. Factor 22/3*l**2 + 4/3*l**5 - o - 19/3*l**4 + 19/3*l**3 - 28/3*l.
(l - 2)**3*(l + 1)*(4*l + 1)/3
Determine p so that 122496*p + 3708/7*p**2 + 4/7*p**3 - 861184/7 = 0.
-464, 1
Suppose -180 = 26*o + 236. Let s be (40/o)/(15/(-3)). Factor 3/8 + 1/8*z**2 + s*z.
(z + 1)*(z + 3)/8
Let t be -2*(15 - 17)*1. Let d(a) be the third derivative of -7/6*a**t - 2/15*a**5 + 0*a - 8/3*a**3 + 1/30*a**6 - 7*a**2 + 0. Factor d(p).
4*(p - 4)*(p + 1)**2
Let b(p) be the first derivative of -p**3/12 + 29*p**2/8 - 7*p + 658. Solve b(c) = 0.
1, 28
Let n(o) = -o**2 - 774*o - 7636. Let y be n(-10). Let z(c) be the second derivative of 0 - 15/2*c**2 - 11/2*c**3 - 3/20*c**5 - 16*c - 7/4*c**y. Solve z(v) = 0.
-5, -1
Let j(y) be the third derivative of -y**6/240 - 4243*y**5/120 - 281165*y**4/3 + 1125721*y**3/3 - 807*y**2 - 4. Factor j(n).
-(n - 1)*(n + 2122)**2/2
Let d(i) = 9*i**3 + 81*i**2 - 8*i + 2. Let n(g) = -38*g**3 - 322*g**2 + 36*g - 9. Let q(l) = -9*d(l) - 2*n(l). Suppose q(j) = 0. Calculate j.
-17, 0
Let q(a) = -a**3 - a**2 + a. Let u(w) be the second derivative of -3*w**5/10 + w**3/2 + 12*w. Let r = 122 + -125. Let x(s) = r*q(s) + u(s). Solve x(j) = 0.
0, 1
Solve -34381*u + 11453*u - u**3 + 11506*u + 13*u**2 + 11470*u = 0 for u.
-3, 0, 16
Let r(s) = 153*s - 148. Let o be r(1). Let x(d) be the third derivative of -1/60*d**o - 1/120*d**6 - 2*d**2 + 0*d + 0*d**4 + 0 + 0*d**3. Factor x(m).
-m**2*(m + 1)
Let a(d) = -2*d**2 - 12*d - 3. Let j be 0/(0/4 + 1). Let o be -1 + (-4)/(-1 - j). Let x(h) = 25*h**2 + 155*h + 40. Let n(k) = o*x(k) + 40*a(k). Factor n(z).
-5*z*(z + 3)
Let m be 1