62*s**2/3 - 210*s. Factor a(x).
-(x + 62)*(7*x - 2)/3
Let o(t) be the second derivative of t**7/231 + 23*t**6/55 - 13*t**5/5 + 217*t**4/33 - 97*t**3/11 + 73*t**2/11 + 2360*t. Determine j so that o(j) = 0.
-73, 1
Let v be (-3)/((-3)/(-4 + 5)) - -3. Suppose 2*n**v + 12*n**3 - 16*n - 16*n**2 - n**5 + 5*n**5 + 14*n**4 = 0. Calculate n.
-2, -1, 0, 1
Let g(b) = b**2 + 23*b - 51. Let y be g(-27). Let o = y - 55. Factor n**3 + o*n + 1 + 3*n**2 - 3 + 2.
n*(n + 1)*(n + 2)
Suppose -6*w - 2094 + 5646 = 0. What is c in 1520*c**2 + 80*c**4 - 5*c**5 - 154 - 500*c**3 + 744 + 690 - 2832*c + w*c = 0?
2, 4
Find t such that 32400 - 88*t + 295*t**2 - 2986*t + 1048*t + 66*t**2 - 4814*t = 0.
180/19
Let u be (3/(-2))/(-12*3/48). Let f(w) be the second derivative of -1/20*w**5 + 1/60*w**6 - 1/4*w**u - 19*w + 1/6*w**3 + 0 + 0*w**4. Factor f(d).
(d - 1)**3*(d + 1)/2
Let m(o) be the third derivative of o**6/720 + 7*o**5/360 + 7*o**4/144 - 5*o**3/12 + 82*o**2 + 18. What is a in m(a) = 0?
-5, -3, 1
Let s(u) be the third derivative of 4*u**2 - 1/150*u**5 - u**3 + 2/15*u**4 + 0*u - 15. Factor s(a).
-2*(a - 5)*(a - 3)/5
Let r(m) = 161400*m + 484202. Let n be r(-3). Factor 3/4*s**n + 15/2*s - 117/4.
3*(s - 3)*(s + 13)/4
Let k(q) = q**4 - q**3 + q**2 + q. Suppose -57 = 4*m - 61. Let i(d) = d**4 + 29*d**3 + 26*d**2 - 4*d. Let h(y) = m*i(y) + 4*k(y). Factor h(r).
5*r**2*(r + 2)*(r + 3)
Let b(z) = -z**3 - 10*z**2 + 2*z + 23. Let i be b(-10). Suppose -i*o**2 - 199 - 101 - 16*o + 76*o = 0. What is o?
10
Let k(a) = a**2 - 23. Let h be k(5). Factor o**h + o**2 - 12 + 32*o + 6*o + 0*o**2 + 80.
2*(o + 2)*(o + 17)
Let x(a) be the first derivative of a**4/72 - 35*a**3/18 + 1225*a**2/12 - 72*a + 127. Let t(l) be the first derivative of x(l). What is c in t(c) = 0?
35
Let c(p) be the first derivative of p**4 + 17 - 16*p**2 - 20/3*p**3 - 2/15*p**6 + 4/5*p**5 - 64/5*p. Factor c(m).
-4*(m - 4)**2*(m + 1)**3/5
Let a(b) be the third derivative of -b**8/120960 - b**7/2520 - 11*b**6/4320 - 41*b**5/60 - b**2 - 18. Let v(d) be the third derivative of a(d). Factor v(j).
-(j + 1)*(j + 11)/6
Factor 641*v - 9894*v**2 - 3882*v**2 - 58 - 1764*v**3 - 70 + 2031*v.
-4*(v + 8)*(21*v - 2)**2
Let m be 34/8 - (-249)/332. Let f(y) be the second derivative of 0 + y**3 + 1/4*y**4 - 3/10*y**m + 11*y + 0*y**2 - 1/10*y**6. Determine w, given that f(w) = 0.
-2, -1, 0, 1
Let r(i) be the third derivative of -1/40*i**6 + 0*i - 3 - 1/8*i**4 + 2*i**2 + 0*i**3 + 1/10*i**5. Factor r(u).
-3*u*(u - 1)**2
Let u(n) be the third derivative of 2*n**2 - 54 + 0*n + 2/105*n**7 - 288*n**4 + 144/5*n**5 - 6/5*n**6 + 0*n**3. Factor u(h).
4*h*(h - 12)**3
Let m = 24/29 + -431/696. Let g(k) be the third derivative of 5/3*k**3 + 0 - 1/6*k**5 - m*k**4 + 0*k + 4*k**2 + 1/24*k**6. Factor g(o).
5*(o - 2)*(o - 1)*(o + 1)
Let b(l) be the third derivative of l**6/1020 + 91*l**5/255 - 776*l**4/51 + 4224*l**3/17 - l**2 - 788. Find i, given that b(i) = 0.
-198, 8
Let g(n) be the third derivative of n**7/28 + 889*n**6/48 + 393*n**5/8 - 495*n**4/16 - 1475*n**3/6 - 1102*n**2 + n. Suppose g(u) = 0. Calculate u.
-295, -1, 2/3
Let r(c) be the second derivative of 0*c**2 - 1 + 0*c**3 - 1/4*c**5 + 5/12*c**4 + 3*c. Let r(f) = 0. Calculate f.
0, 1
Suppose 768 + 4*c**3 - 125048*c**2 - 124937*c**2 + 976*c + 250197*c**2 = 0. What is c?
-48, -4, -1
Let u = -105 - -108. Find h, given that -6*h**u + 4*h - 53*h**5 + 54*h**5 + h**3 = 0.
-2, -1, 0, 1, 2
Factor 27*k**3 - 51*k**3 - 3*k + 78 + 27*k**3 - 78*k**2.
3*(k - 26)*(k - 1)*(k + 1)
Suppose 34 = 4*y + 2*v, 35 = 5*y - 5*v - 0*v. Suppose 0 = -7*k + y*k - 162. Factor 30*m**2 - 5*m + 2*m + 2*m**3 - 116*m**3 + 6*m**3 - 81*m**5 + k*m**4.
-3*m*(m - 1)*(3*m - 1)**3
Let b(n) be the third derivative of -n**8/420 - 74*n**7/525 + n**6/150 + 37*n**5/75 - 2*n**2 - 373*n. Determine g, given that b(g) = 0.
-37, -1, 0, 1
Suppose -34*s = -32*s + 36. Let v be (-4)/s - (28/63)/2. Determine m so that 1/4*m + 1/4*m**2 + v = 0.
-1, 0
Let k(f) be the third derivative of -3/100*f**5 + 119/120*f**4 + 0 - 27*f**2 - 11/600*f**6 - 49/15*f**3 - 2*f - 1/1050*f**7. Factor k(d).
-(d - 2)*(d - 1)*(d + 7)**2/5
Let k(a) be the third derivative of 92*a**2 + 0*a - 4/21*a**4 + 0*a**6 - 2/7*a**3 - 2/35*a**5 + 0 + 2/735*a**7. Factor k(h).
4*(h - 3)*(h + 1)**3/7
Let v(c) be the first derivative of -2*c**3/21 + 90*c**2/7 - 144*c - 1122. Solve v(l) = 0 for l.
6, 84
Let t(d) be the second derivative of -7*d**6/120 + 27*d**5/8 - 19*d**4/4 - 43*d**3/2 - 112*d. Let p(k) be the second derivative of t(k). Factor p(u).
-3*(u - 19)*(7*u - 2)
Let b(g) = 9*g**4 + 21*g**3 - 9*g**2 - 29*g + 7. Let u(z) = 12*z**4 + 20*z**3 - 8*z**2 - 28*z + 6. Let d(a) = -6*b(a) + 5*u(a). Suppose d(k) = 0. What is k?
-1, 1/3, 2, 3
Let b(q) = q + 1. Let h(x) = -5*x**3 - x**2 - x - 1. Let m be h(-1). Let w(o) = 34 + 15*o - 71 + 39 - 12*o**2. Let t(l) = m*b(l) - w(l). Factor t(a).
(3*a - 2)*(4*a - 1)
Let l(s) be the second derivative of 9*s**2 - 18*s - 1/630*s**5 + 1/21*s**4 - 4/7*s**3 + 0. Let w(p) be the first derivative of l(p). Solve w(v) = 0.
6
Let q be (146/(-360))/(-1) + (-34)/85. Let l(d) be the second derivative of 1/54*d**3 + 1/270*d**6 + 17*d + 0 - 1/108*d**4 - q*d**5 + 0*d**2. Factor l(m).
m*(m - 1)**2*(m + 1)/9
Suppose 146 = 6*s + 8. Suppose -7 + s = 8*z. Determine j, given that -563*j - 20*j**5 + 66*j**z - 90*j**4 + 24 - 7*j**5 - 57*j**3 + 647*j = 0.
-2, -1, -2/3, 1
Suppose -2*m = -2*c + 36, -4*c = -6*c + 5*m + 24. Factor -9 - c*h + 36*h - 20*h + 3*h**2.
3*(h - 3)*(h + 1)
Let m be (3/(6/1) - 1)/(-1). Let b be 0 - (-4 - (-120)/32). What is u in 0 + m*u - b*u**2 = 0?
0, 2
Let y(g) be the second derivative of -90*g + 0 - 13/8*g**3 + 1/16*g**4 - 45/4*g**2. Solve y(v) = 0.
-2, 15
Let h(k) be the first derivative of -2/45*k**3 + 30 - 4/3*k + 7/15*k**2. Solve h(a) = 0 for a.
2, 5
Suppose 5*t - 50 = 3*t + 4*x, 0 = 4*t + 4*x - 40. Suppose -6 = -2*c + 3*z, 4*z + 9 = 5*c - 13. Factor t*v**3 + 16*v**3 - 8*v**4 + c*v**2 - 2*v - 31*v**3.
-2*v*(v + 1)*(2*v - 1)**2
Let f = -48745 + 243728/5. What is y in 3/5*y**4 + 0 + 3/5*y**5 + 0*y - 3/5*y**3 - f*y**2 = 0?
-1, 0, 1
Let p = -402429 + 402441. Factor 9 - 17*k**4 + 33*k**3 + 3/2*k**5 - p*k**2 - 29/2*k.
(k - 9)*(k - 1)**3*(3*k + 2)/2
Let y(w) = -4*w + 11. Let j be y(-12). Factor 4*m**4 + 17 - 1 - 7*m**2 - 48*m + j*m**2 - 24*m**3.
4*(m - 2)**2*(m - 1)**2
Let y(l) be the second derivative of -153*l**4/32 - 61*l**3/8 - 9*l**2/2 - 3201*l. Factor y(r).
-3*(9*r + 4)*(17*r + 6)/8
Let k(u) be the first derivative of u**4/10 - 142*u**3/15 + 271*u**2/5 - 402*u/5 + 1566. Factor k(y).
2*(y - 67)*(y - 3)*(y - 1)/5
Let k(s) = 9*s**3 - 299*s**2 + 2595*s - 2295. Let j(q) = -2*q**3 - 3*q**2. Let c(x) = -2*j(x) - k(x). Factor c(f).
-5*(f - 51)*(f - 9)*(f - 1)
Let s be 6/27 - 6/27. Suppose 208 - 626 = -149*j + 327. Factor 0*p**4 + 2/5*p**j + 0*p**2 + 0*p + s - 2/5*p**3.
2*p**3*(p - 1)*(p + 1)/5
Let d(h) = -3*h**3 - 135*h**2 - 1443*h + 1581. Let r(l) = -l + 1. Let y = 233 + -234. Let a(k) = y*d(k) - 6*r(k). Factor a(c).
3*(c - 1)*(c + 23)**2
Let v(a) be the third derivative of a**5/12 - 35*a**4/8 + 275*a**3/3 + 683*a**2 - a. Suppose v(p) = 0. What is p?
10, 11
Factor 0*f**4 - 1/3*f**5 + 0*f**2 + 1/3*f**3 + 0 + 0*f.
-f**3*(f - 1)*(f + 1)/3
Let g be (-5720)/(-275) + -13 + (-1)/(-5). Let c(z) be the second derivative of -26*z - 5/16*z**4 + 2*z**3 + 0 + g*z**2 + 1/80*z**5. Solve c(r) = 0 for r.
-1, 8
Let u = 711 - 709. What is a in -8121*a**4 + 8119*a**4 + u*a + a**2 - 2*a**3 + a**2 = 0?
-1, 0, 1
Let y = -1391567/11 - -126509. Factor -2/11*i**3 - y*i**2 - 180/11 - 138/11*i.
-2*(i + 3)**2*(i + 10)/11
Let l be 0/(-19 + (-594)/(-27)). Factor -21/2*q**4 + l - 15/2*q**3 + 3*q**2 + 0*q.
-3*q**2*(q + 1)*(7*q - 2)/2
Let c(p) be the first derivative of p**9/9072 - p**8/2520 + p**7/2520 + 2*p**3/3 - 41*p**2/2 + 15. Let m(v) be the third derivative of c(v). Factor m(u).
u**3*(u - 1)**2/3
Factor -219122/9 + 1324/9*l - 2/9*l**2.
-2*(l - 331)**2/9
Let t be (72/(-42) - -2) + (-40)/(-7). Factor -2*v**4 + 24 + 2*v**5 - 24 + 6*v**2 - 4*v**2 + 4*v - t*v**3.
2*v*(v - 2)*(v - 1)*(v + 1)**2
Factor 534*y + 17*y**3 - 241*y**2 - 20*y**3 + 548*y**2 + 913 - 217 - 472*y**2.
-3*(y - 4)*(y + 1)*(y + 58)
Let f = -83414 - -83416. Let -2/5*g**5 + 0 - 6/5*g**4 + 6/5*g**f + 4/5*g - 2/5*g**3 = 0. What 