e of j(x). Factor o(s).
-3*(s - 5)*(s - 1)**2
Let j(r) be the third derivative of -r**6/480 + 7*r**5/80 - 71*r**4/96 + 17*r**3/8 - 1017*r**2. Factor j(n).
-(n - 17)*(n - 3)*(n - 1)/4
Let f = -114 + 119. Factor -5*s**5 + 1388*s - 10*s**4 - 1388*s - f*s**3.
-5*s**3*(s + 1)**2
Let z be 38409/3348 + 12 + (-990)/81. Factor -5/4*k**2 - 45/2 - z*k.
-5*(k + 3)*(k + 6)/4
Let b = 18 + -14. Suppose 2*n - 2 = -0*n, 6 = d + b*n. Factor -2*i**d + 6*i**2 + i**2.
5*i**2
Let a(y) be the third derivative of -y**7/42 + 2*y**6/3 + 35*y**5/4 - 1762*y**2. Let a(p) = 0. What is p?
-5, 0, 21
Let m(r) be the third derivative of r**5/210 + 183*r**4/14 + 100467*r**3/7 - 297*r**2 - 6*r. Factor m(h).
2*(h + 549)**2/7
Let p be 2/((-10)/(-87)) + (-138)/(-230). Suppose 35*v - 41*v = -p. What is y in 3*y - 5*y**v + 0*y**3 - 3*y - 5*y - 10*y**2 = 0?
-1, 0
Factor 0*o - 128*o**3 + 0 - 4/5*o**5 + 624/5*o**2 + 172/5*o**4.
-4*o**2*(o - 39)*(o - 2)**2/5
Let t(v) be the second derivative of 29/9*v**3 - 28/3*v**2 - 1/18*v**4 + 130*v + 0. Let t(p) = 0. What is p?
1, 28
Let w(f) be the second derivative of -5*f**7/273 + 29*f**6/195 + 7*f**5/26 - 209*f**4/78 + 74*f**3/13 - 72*f**2/13 - f + 257. Solve w(z) = 0.
-3, 4/5, 1, 6
Suppose 121*d = 128*d + 290*d - 891. Factor -242/19*r - 44/19*r**2 - 2/19*r**d + 0.
-2*r*(r + 11)**2/19
Suppose -5*q = 23*m - 22*m - 34, -2*m - q = -41. Suppose 43*n - m - 153 = 0. Factor n*l**2 + 1/9 - 4/3*l.
(6*l - 1)**2/9
Let n(w) = 22*w**3 - 20*w**2 - 34*w + 318. Let c(v) = -76*v**3 + 60*v**2 + 103*v - 953. Let d(g) = 4*c(g) + 14*n(g). Factor d(a).
4*(a - 10)*(a - 4)*(a + 4)
Let y(z) be the first derivative of 25*z**3 - 288*z**4 - 122 - 3*z - 87*z**4 - 150*z**3 + 39 - 375*z**5 - 30*z**2 - 25*z**3. Determine u, given that y(u) = 0.
-1/5
Let f = 30537 - 30537. Let -3/2*b - 3/4*b**2 + f = 0. Calculate b.
-2, 0
Factor 7 + 3/4*w**2 - 1/4*w**3 + 6*w.
-(w - 7)*(w + 2)**2/4
Suppose -53/4*y**4 + 16 - 62*y + 181/4*y**3 + y**5 - 37/2*y**2 = 0. Calculate y.
-1, 1/4, 2, 4, 8
Factor -24*u - 8*u**2 + 2/3*u**4 + 10/3*u**3 + 0.
2*u*(u - 3)*(u + 2)*(u + 6)/3
Factor 2/5*x**2 - 74/5*x - 156/5.
2*(x - 39)*(x + 2)/5
Let n = 146/15 - 398/45. Let d be 4/(-3)*(-14)/84. Factor 0 - d*t**4 + n*t - 16/9*t**2 + 10/9*t**3.
-2*t*(t - 2)**2*(t - 1)/9
Let a = -7949/3 + 7954/3. What is b in 25/3*b - a*b**2 - 10 = 0?
2, 3
Let c = 77914/3 - 25968. Let -8/3*s**2 + c - 4*s - 2/3*s**4 + 4*s**3 = 0. What is s?
-1, 1, 5
Let r(u) be the third derivative of u**6/240 + u**5/4 + 11*u**4/3 + 9322*u**2. Determine n so that r(n) = 0.
-22, -8, 0
Let o(m) be the first derivative of 3*m**6/13 - 76*m**5/13 + 672*m**4/13 - 2156*m**3/13 + 343*m**2/13 - 5103. Factor o(t).
2*t*(t - 7)**3*(9*t - 1)/13
Factor 38/5*m - 217/5 - 1/5*m**2.
-(m - 31)*(m - 7)/5
Let f = 28091 - 28089. Let t(g) be the first derivative of 8/3*g + 2/27*g**3 - 8/9*g**f + 16. Determine p so that t(p) = 0.
2, 6
Let f be (-10 + 38/6)*(-90)/165. Solve -1/2*y - 1/4*y**3 + 0 - 3/4*y**f = 0.
-2, -1, 0
Suppose -2*i + 122 = 4*u, -4*u - 5*i = -77 - 48. Let p = 42 - u. Factor -p*q + 18 + q**2 - 4*q**2 + 5*q**2.
2*(q - 3)**2
Let x be (11/(-33)*0)/1. Let w(n) be the third derivative of 0 - 49/10*n**3 - 7/20*n**4 + x*n - 1/100*n**5 - 6*n**2. Find p, given that w(p) = 0.
-7
Let p(o) be the third derivative of 0*o + 79*o**2 + 2/15*o**6 + 40/3*o**4 - 1/315*o**7 - 400/9*o**3 - 92/45*o**5 + 0. Factor p(l).
-2*(l - 10)**2*(l - 2)**2/3
Suppose 11*d + 43/4 + 1/4*d**2 = 0. What is d?
-43, -1
Let c(u) be the first derivative of 3*u**6/2 - 6*u**5/5 - 3*u**4/4 - 5659. Factor c(h).
3*h**3*(h - 1)*(3*h + 1)
Let r(o) = -5*o**2 - 28*o - 28. Let p be r(-4). Factor 0*i**2 - 3*i**2 - 111*i + p*i**3 - 6*i**2 + 117*i - i**3.
3*i*(i - 2)*(i - 1)
Suppose 17*u + 14 = 48. Let j be (-1)/8 - 1989/(-2856). Find h such that -2/7*h**3 - j + 2/7*h + 4/7*h**u = 0.
-1, 1, 2
Factor 20/3 - 2/15*u**3 + 8/15*u**2 + 22/3*u.
-2*(u - 10)*(u + 1)*(u + 5)/15
Suppose 4*h - u - 74 = 0, -4*u - u + 26 = 2*h. Let f(w) = -6*w**2 + 108*w + 3. Let n be f(h). Factor 0*s**2 - 6/7*s**n - 2/7*s**4 + 8/7*s + 0.
-2*s*(s - 1)*(s + 2)**2/7
Let g(z) = -z**2 + 44*z - 1. Suppose 7*w + 156 - 149 = 0. Let o(y) = -2*y - 1. Let m(j) = w*g(j) + o(j). Factor m(s).
s*(s - 46)
Let n be 2/(8/(-96)*-8). Factor 12*i - 3*i**n + 267*i**2 + 5*i**4 - 279*i**2 - 2*i**4.
3*i*(i - 2)*(i - 1)*(i + 2)
Factor -3390*q**3 - 567785*q**2 + 3110302*q - 798322*q - 3252749 + 927129 - 5*q**4.
-5*(q - 2)**2*(q + 341)**2
Let d be (-7 + (-336)/(-2))/((-1)/(-3)). Suppose 1102 - d - 495 - 4*m**2 - 120*m = 0. Calculate m.
-31, 1
Find v, given that -41781 + 41871 + 3*v**3 - 111*v + 6*v**2 + 12*v**2 = 0.
-10, 1, 3
Let r(n) be the third derivative of 1/280*n**7 + 0*n + 83/240*n**5 + 5/96*n**4 + 0 + 16*n**2 + 31/480*n**6 - 25/12*n**3. Factor r(m).
(m + 1)*(m + 5)**2*(3*m - 2)/4
Factor -3/2*h**3 + 0 - 395/3*h**2 + 88/3*h.
-h*(h + 88)*(9*h - 2)/6
Let o(u) be the first derivative of 2*u**5/35 - 3*u**4/7 + 10*u**3/21 + 1429. Factor o(l).
2*l**2*(l - 5)*(l - 1)/7
Let z be (-45)/(-18)*16/15*(-108)/(-72). Suppose -1/2*t**z + 1/2*t**2 + 0 - 1/2*t**3 + 1/2*t = 0. What is t?
-1, 0, 1
Let v = -269 - -279. Solve 11*j**2 + 7*j + 3*j**2 - v*j**2 + 17*j = 0.
-6, 0
Suppose -1675 + 4739 = 1532*l. Find y, given that -3/2*y**3 - 6*y + 0 + 6*y**l = 0.
0, 2
Let x(c) be the first derivative of c**6/12 + 3*c**5/5 + 7*c**4/4 + 8*c**3/3 + 9*c**2/4 + c - 1705. Factor x(n).
(n + 1)**4*(n + 2)/2
Suppose 2*v = -1624 - 1282. Let t = 1455 + v. Factor -24/5 - 2/5*x**3 - 14/5*x**t - 32/5*x.
-2*(x + 2)**2*(x + 3)/5
Suppose -i - 54*i**2 + 123*i**2 - 5*i**3 - 219*i**2 - 144*i = 0. What is i?
-29, -1, 0
Let z = -65 + 62. Let h be ((-3)/(-2))/z*-4. Factor n**h + 23*n + 0*n**2 + n**2 - 20*n - n**3.
-n*(n - 3)*(n + 1)
Suppose 670 - 71 = 166*v - 231. Solve 2*z**v + 3/2 - 5/2*z + 9/2*z**3 + 8*z**4 - 11/2*z**2 = 0 for z.
-3, -1, 1/2
Suppose -5*j = -25, j + 145 = -4*l + 2*j. Let m be (-406)/l - 6/10. Factor -48*v - 10*v**2 + m*v**2 - 145*v**2 - 4.
-4*(6*v + 1)**2
Suppose -20 = -4*s - 0*s - 5*w, 0 = -4*w. Suppose 2*c = -s*f - 9, 10*c - 27 = 6*c + 5*f. Factor 2*u**c - 2/5*u**2 + 0 - 6/5*u**4 - 18/5*u**5 + 0*u.
-2*u**2*(u + 1)*(3*u - 1)**2/5
Let n = -94 - -98. Solve 10*v**2 + 11*v**n + 8*v - 14*v**3 - 10*v - 5*v**4 = 0 for v.
0, 1/3, 1
Let m(a) be the second derivative of 3*a**7/14 - 5*a**6/2 + 39*a**5/10 + 9*a**4/2 - 29*a**3/2 + 21*a**2/2 + 73*a - 6. Solve m(l) = 0 for l.
-1, 1/3, 1, 7
Let n(y) be the second derivative of -2*y**7/231 - y**6/33 + 6*y**5/55 + 23*y**4/66 - 16*y**3/33 - 12*y**2/11 + y - 206. What is p in n(p) = 0?
-3, -2, -1/2, 1, 2
Let g(i) be the first derivative of 0*i**2 + 72 + 0*i - 2/3*i**3 + 1/2*i**4. Suppose g(c) = 0. Calculate c.
0, 1
Let u(v) be the third derivative of 5/27*v**3 + 0 - 1/540*v**6 + 7/270*v**5 - 55*v**2 + 0*v - 11/108*v**4. Determine c so that u(c) = 0.
1, 5
Let k(j) be the first derivative of 5*j**6/33 - 68*j**5/55 - j**4/11 + 272*j**3/33 + 117*j**2/11 + 36*j/11 + 364. Suppose k(q) = 0. What is q?
-1, -1/5, 3, 6
Let p(u) be the second derivative of u**6/360 - u**5/60 - u**4/8 - 56*u**3/3 - 87*u - 2. Let q(t) be the second derivative of p(t). What is f in q(f) = 0?
-1, 3
Let g = -2/48341 - -96696/338387. Let b(t) be the first derivative of 2/21*t**3 + 0*t**2 + 27 - g*t. Solve b(m) = 0.
-1, 1
Let m = 5/17 + 19/51. Let d(g) = -g**3 - 162*g**2 + 997*g + 68. Let r be d(6). Let -s + m + 1/3*s**r = 0. What is s?
1, 2
Let c be (39/(-247) - (-858)/3990)*60. Factor 3/7*p**2 - c*p + 48/7.
3*(p - 4)**2/7
Let g(a) be the third derivative of -a**6/540 - 23*a**5/30 + 157*a**4/27 - 140*a**3/9 + 3483*a**2. Factor g(c).
-2*(c - 2)*(c - 1)*(c + 210)/9
Let g be 0 + (-3 - ((-41)/(-9) - (-27 - -35))). Factor g - 2/9*z**2 - 2/9*z.
-2*(z - 1)*(z + 2)/9
Let t = -454 - -456. Determine y so that -7*y - 17*y + 4*y + 3*y**2 - 6*y**t + 2*y**3 - 3*y**2 = 0.
-2, 0, 5
Let b(k) be the first derivative of k**6/24 - 13*k**5/20 + 31*k**4/16 - 7*k**3/12 - 4*k**2 + 5*k + 276. Find o such that b(o) = 0.
-1, 1, 2, 10
Let l(b) be the second derivative of -b**4/24 + b**3/2 - 5*b**2/4 - 115*b + 2. Factor l(v).
-(v - 5)*(v - 1)/2
Suppose -3*j - 44 = -7*j + 2*n, j - 17 = -n. Factor 200*r**2 - 39*r**4 + 42*r**4 - 53*r**2 + j*r**3 + 29*r**3.
3*r**2*(r + 7)**2
Let q(j) be the first derivative of j**5/20 - 281*j