5*k**3. Let s(i) = 0. Calculate i.
-1, 0
Determine b so that 0 + 3/2*b**3 - 37/2*b**2 - 13*b = 0.
-2/3, 0, 13
Let t be 2/(-30)*4/5*-15. Let g(d) be the first derivative of -17 + t*d + 0*d**2 - 1/15*d**3. Solve g(r) = 0.
-2, 2
Let d = -108686 + 326059/3. Factor -8*a - 48 - d*a**2.
-(a + 12)**2/3
Solve -21*r**4 + 552/5*r - 12 - 1023/5*r**2 + 15*r**5 - 1167/5*r**3 = 0 for r.
-2, 1/5, 5
Let o = -8206 - -8211. Let w(i) be the second derivative of 10*i + 0*i**4 - 3/5*i**2 + 3/100*i**o + 0 - 3/10*i**3. Factor w(p).
3*(p - 2)*(p + 1)**2/5
Let v be -364 + 341 + 836/36. Find o, given that -20/9*o**2 - 8/3 - v*o**3 + 46/9*o = 0.
-12, 1
Let g = 100/67 + -2635/1541. Let h = g + 38/69. Find p, given that -h*p**2 + p + 4/3 = 0.
-1, 4
Let n = -82983 - -82985. Factor 14/3*g - 2/3*g**n + 12.
-2*(g - 9)*(g + 2)/3
Let u = 4032 - 4028. Let i(g) be the first derivative of 0*g**2 - 1/4*g**6 - 9/8*g**u + 26 + 1/2*g**3 + 9/10*g**5 + 0*g. What is a in i(a) = 0?
0, 1
Suppose 0 = -26*y + 29*y. Suppose -2*j**2 + j - j + 32*j**3 - 34*j**3 + y*j = 0. Calculate j.
-1, 0
Suppose -10*c + 5*t = -12*c - 1605, 1614 = -2*c - 2*t. Let h be -4 + (c/66)/(-3). Factor 1/11*g**4 + 0*g**3 + 0*g + 0 - h*g**2.
g**2*(g - 1)*(g + 1)/11
Let a(w) be the third derivative of -w**5/20 + 243*w**4 - 472392*w**3 + 3184*w**2. Factor a(r).
-3*(r - 972)**2
Let c(b) be the third derivative of b**5/10 - 154*b**4/3 + 205*b**3/3 - 2731*b**2. Factor c(u).
2*(u - 205)*(3*u - 1)
Let p be (-68)/(-3)*((-68)/(-8) + -4). Solve -248*a - p - 327*a**3 - 12*a**2 + 347*a**3 + 6 = 0.
-3, -2/5, 4
Solve 58/3*j + 13/3*j**2 + 8/3 - 7/3*j**3 = 0 for j.
-2, -1/7, 4
Let o(q) = -36*q**3 + 17416*q**2 - 5046016*q + 487779952. Let r(t) = -7*t**3 + 3483*t**2 - 1009203*t + 97555991. Let d(f) = -3*o(f) + 16*r(f). Solve d(p) = 0.
290
Let w(c) be the first derivative of c**6/120 - 11*c**5/30 - 5*c**4/8 + 4*c**3/3 + c**2 - 68. Let z(v) be the third derivative of w(v). Let z(d) = 0. What is d?
-1/3, 15
Let s(c) be the third derivative of c**5/75 - 18*c**4/5 - 226*c**3/3 + 36*c**2 - 5*c - 4. Solve s(v) = 0.
-5, 113
Let u = 24573 + -24570. Let y(l) be the third derivative of -u*l**2 + 0 - 1/20*l**5 - 1/60*l**6 - 1/24*l**4 + 0*l + 0*l**3. Solve y(a) = 0.
-1, -1/2, 0
Let m(b) be the second derivative of -b**6/120 + 7*b**5/20 + 15*b**4/8 + 73*b**3/6 + 23*b - 1. Let n(w) be the second derivative of m(w). Factor n(l).
-3*(l - 15)*(l + 1)
Factor 99/5*z - 648/5 - 3/5*z**2.
-3*(z - 24)*(z - 9)/5
Let l(v) be the third derivative of v**8/141120 - v**7/3920 - v**6/504 - 181*v**5/60 + 54*v**2 + 2*v. Let x(j) be the third derivative of l(j). Factor x(n).
(n - 10)*(n + 1)/7
Let t be -18 + 7 + (24 - 8). Let u(f) be the second derivative of 1/42*f**7 + 0 + 1/2*f**2 + 29*f - 1/6*f**4 - 1/10*f**t + 1/6*f**3 + 1/30*f**6. Factor u(g).
(g - 1)**2*(g + 1)**3
Let j(g) = g**3 + 37*g**2 - 39*g - 31. Let p be j(-38). Let r be -2 - p*(-6)/21. Factor 2/3*f**2 - 1/6*f**3 - 1/12*f**4 + 0 + r*f.
-f**2*(f - 2)*(f + 4)/12
Factor 4*d**4 + 1347*d + 852*d**2 - 1790*d + 376 + 1491*d + 224*d**3 + 40.
4*(d + 1)**2*(d + 2)*(d + 52)
Let o(t) be the third derivative of -t**7/840 + 3*t**6/80 - 7*t**5/80 - 55*t**4/12 + 50*t**3 - t**2 + 3319. Factor o(q).
-(q - 15)*(q - 4)**2*(q + 5)/4
Let b be 4/468*-27 - 1/(312/(-345)). Factor -1 + 3/8*a**3 + b*a**2 - 11/4*a.
(a - 2)*(a + 4)*(3*a + 1)/8
Let y be 13549/27895 + -2*2/14. Let -y*p**5 + 0 + 4/5*p**4 + 1/5*p**3 - 4/5*p**2 + 0*p = 0. What is p?
-1, 0, 1, 4
Let n(j) be the second derivative of j**6/6 - 9*j**5 + 80*j**4/3 + 120*j**3 - 680*j**2 - 12*j - 335. Find f such that n(f) = 0.
-2, 2, 34
Let n(p) be the second derivative of p**5/170 - 5*p**4/51 - 11*p**3/51 - 129*p. Suppose n(a) = 0. What is a?
-1, 0, 11
Suppose -33*j + 26*j = -21. Determine q, given that 6*q**2 + 2*q - q**2 + j*q - 4*q**2 = 0.
-5, 0
Let m(s) be the second derivative of 2*s**6/15 + 69*s**5/5 + 265*s**4/3 + 218*s**3 + 260*s**2 + 63*s + 5. Factor m(k).
4*(k + 1)**2*(k + 2)*(k + 65)
Let h(c) = c**2 + 5*c - 36. Suppose l + 1 = -4*t - 0, -5*l - 47 = -t. Let z be h(l). What is j in -1/2*j**2 + 1/4*j**4 + 0 + z*j + 1/4*j**3 = 0?
-2, 0, 1
Let y = 27 + -25. Let l be (-20)/15*3/(-2). Factor 55*m**y + 62*m**2 - 116*m**l - 1.
(m - 1)*(m + 1)
Let l(x) = -x**4 - x**3 + x**2 - x - 2. Let y(q) = 3*q**3 + 7*q**2 + 3*q - 1. Suppose -8*k + 14*k - 6 = 0. Let i(r) = k*l(r) - y(r). Factor i(j).
-(j + 1)**4
Factor 140/3 + 26/5*x + 2/15*x**2.
2*(x + 14)*(x + 25)/15
What is u in 176/19*u**3 + 1440/19 - 1056/19*u + 2/19*u**4 - 560/19*u**2 - 2/19*u**5 = 0?
-10, -2, 1, 6
Let n(u) be the first derivative of 0*u + 0*u**3 - 1/360*u**6 + 31 - 6*u**2 + 1/30*u**5 + 0*u**4. Let f(a) be the second derivative of n(a). Factor f(w).
-w**2*(w - 6)/3
Factor 2/3*k**2 - 7612/3*k + 7242818/3.
2*(k - 1903)**2/3
Let g(z) = -2*z**2 - 17*z - 11. Let f = -29 + 31. Let t(a) = -7*a**2 - 69*a - 45. Let d(s) = f*t(s) - 9*g(s). Solve d(r) = 0.
-3, -3/4
Let 33/4*i**3 + 63/2*i**2 + 51*i + 30 + 3/4*i**4 = 0. Calculate i.
-5, -2
What is j in 146*j + 293/2 - 1/2*j**2 = 0?
-1, 293
Let s = 93111 + -93107. Solve 0 - 6/5*y + 27/5*y**s - 27/5*y**2 + 6/5*y**3 = 0 for y.
-1, -2/9, 0, 1
Suppose p - 38 + 15 = 0. Factor 22*k**4 - k**4 - 7*k**4 + 13*k**5 + 19*k**2 + 45*k**3 + p*k - 21*k + 27*k**4.
k*(k + 1)**3*(13*k + 2)
Let y = -496 - -453. Let k be y/(-14) - (-10)/(-4). Factor 0 - k*f - 2/7*f**2.
-2*f*(f + 2)/7
Suppose -2*o - 4*n + 66 = 0, -3*o = -0*o - 2*n - 59. Let v = o - 20. Factor 23*f - 8*f - 9*f + 3*f**2 - v*f**3.
-3*f*(f - 2)*(f + 1)
Let m(i) be the second derivative of -i**4/60 - 233*i**3/30 - 231*i**2/5 + 4934*i. Factor m(t).
-(t + 2)*(t + 231)/5
Let r(j) be the second derivative of 3*j**5/20 - 17*j**4/12 + 3*j**3/2 + 5*j**2/2 - 27*j + 6. Determine k so that r(k) = 0.
-1/3, 1, 5
Suppose 5 - 4 + 11*m - 3 - 172*m**2 + 167*m**2 = 0. Calculate m.
1/5, 2
Let a(h) be the second derivative of -h**6/15 + 139*h**5/10 - 135*h**4 + 1604*h**3/3 - 1064*h**2 + 790*h. Find l such that a(l) = 0.
2, 133
Let y(i) be the first derivative of -i**6/160 - 3*i**5/80 + i**4/8 - 163*i**2/2 - 83. Let o(z) be the second derivative of y(z). Factor o(n).
-3*n*(n - 1)*(n + 4)/4
Let b be 18/126*(4 + (6/4)/(32/(-64))). Factor 8/7*f + b*f**2 + 16/7.
(f + 4)**2/7
Let g(r) = -134*r + 22112. Let v be g(165). Suppose 0 = 3*f - 5 - 7. Factor 2/3*n**v - f + 2/3*n.
2*(n - 2)*(n + 3)/3
Suppose 1012 = 4*l - 564. Let q = l - 391. Factor -4/3*z**q + 0 - 8*z + 28/3*z**2.
-4*z*(z - 6)*(z - 1)/3
Factor -2/9*p**2 - 607202/9 - 2204/9*p.
-2*(p + 551)**2/9
Let o(i) = 13*i**3 - 3955*i**2 + 999964*i + 9. Let g(h) = -7*h**3 + 1975*h**2 - 499980*h - 5. Let w(q) = 18*g(q) + 10*o(q). What is j in w(j) = 0?
0, 500
Let g(j) be the third derivative of 0*j**4 + 0*j - 1/180*j**6 + 0 + 1/15*j**5 + 109*j**2 + 0*j**3. Determine x so that g(x) = 0.
0, 6
Suppose -5*d + 13 = i - 4, 3*i - 15 = -3*d. Suppose 27*q - 29*q + 8 = 0. What is z in -2 - 4*z**d + 0*z**q + 4*z - 4*z**4 + 6*z**4 = 0?
-1, 1
Let m(p) = -4*p**3 + 21*p**2 + 44*p - 22. Let l(v) = -11*v - 51*v**2 + 46*v**2 + 2*v**3 - 3*v**3 + 6 + 2*v**3. Let w(k) = -26*l(k) - 6*m(k). Factor w(o).
-2*(o - 4)*(o - 1)*(o + 3)
Factor -5640*j - 5351*j + 18693*j + 3*j**3 - 1866*j**2 - 5839*j.
3*j*(j - 621)*(j - 1)
Let z be (19 - 3) + -2 - (0 + 1 - (2 - 10)). Factor 0 + 8/5*u**4 + 0*u + 0*u**2 - 1/5*u**z - 7/5*u**3.
-u**3*(u - 7)*(u - 1)/5
Let r(n) be the first derivative of 1/2*n**6 - 56*n**3 - 27/5*n**5 + 24*n**4 - 72 + 72*n**2 - 48*n. Suppose r(d) = 0. Calculate d.
1, 2
Let k(t) be the first derivative of -2/45*t**5 + 0*t - 3*t**2 + 1/6*t**4 + 2/3*t**3 + 97. Suppose k(d) = 0. What is d?
-3, 0, 3
Let s(k) be the third derivative of -k**7/175 + k**6/300 + 113*k**5/150 + 179*k**4/60 + 14*k**3/3 + 2030*k**2. Determine t, given that s(t) = 0.
-5, -1, -2/3, 7
Let n(z) = z**2 + 8*z + 24. Let u be n(-2). Factor -30*s - 15 + 2*s**2 + 11*s**2 + 224 - u*s**2 + 16.
(s - 15)**2
Let d be (24 - -3)*(-20)/(-72)*9/(-45)*-2. What is z in 34/9*z + 4/9*z**2 + 14/9*z**4 + 2/9*z**5 - 2 - 4*z**d = 0?
-9, -1, 1
Let l(h) be the first derivative of -h**3/3 - 1785*h**2 - 3186225*h + 6976. Suppose l(d) = 0. Calculate d.
-1785
Let u(n) be the third derivative of 55/24*n**4 + 4*n**2 + 5*n**3 + 1/2*n**5 + 0 + 1/24*n**6 - 10*n. Factor u(k).
5*(k + 1)*(k + 2)*(k + 3)
Let f