n**3/9 + 77*n**2/3 - 380*n + 3. Solve q(s) = 0 for s.
-1, 7, 11
Let c(o) be the third derivative of -o**9/362880 - o**8/3360 - o**7/70 - 2*o**6/5 - 29*o**5/15 + 9*o**2. Let f(n) be the third derivative of c(n). Factor f(s).
-(s + 12)**3/6
Let t(o) = -o**3 + 147*o**2 + 2606*o + 330. Let s be t(163). Let 0*k + 18/11*k**3 + 64/11 - 2/11*k**4 - s*k**2 = 0. Calculate k.
-1, 2, 4
Let d be 28679/735 + -31 - 4/(-15). Factor -1/7*l**2 + d*l + 59/7.
-(l - 59)*(l + 1)/7
Let n(u) be the first derivative of -u**4/4 + 4*u**3/3 + 14*u**2 + 32*u + 627. Find z, given that n(z) = 0.
-2, 8
Let i(g) = 12*g - 11. Let f be i(3). Find a such that 14*a**2 - 42*a**2 - 24 + 62*a - f*a**2 - 10*a**4 + 9*a**4 + 16*a**3 = 0.
1, 2, 12
Suppose -58*j + 52*j - 24 = 0. Let h be -7 + 8 - j/2. Factor -1/5*d - 1/5*d**h + 0 + 2/5*d**2.
-d*(d - 1)**2/5
Suppose -6/7*a**3 + 0 + 6/7*a**2 - 2/7*a + 2/7*a**4 = 0. Calculate a.
0, 1
Let u = 5184 - 5179. Let a(k) be the second derivative of 5*k - 1/5*k**u + 0 + 1/3*k**3 - 1/6*k**4 + 0*k**2. Find z such that a(z) = 0.
-1, 0, 1/2
Let z = 9766 - 9764. What is y in 2/5*y**3 + 0 - 4/5*y**4 + 0*y + 2/5*y**5 + 0*y**z = 0?
0, 1
Let f(c) be the first derivative of 2/3*c**6 + 10*c**2 - 8/3*c**3 - 4/5*c**5 - 6*c**4 + 25 + 12*c. Factor f(n).
4*(n - 3)*(n - 1)*(n + 1)**3
Let i = -2 + 310. Let b = i - 2762/9. Factor -8/9*l**2 - 4/9 - 2/9*l**3 - b*l.
-2*(l + 1)**2*(l + 2)/9
Let m(i) be the second derivative of 50*i**2 + 0 + 147*i - 5/12*i**4 - 5/6*i**3. Let m(p) = 0. What is p?
-5, 4
Let d be (-2)/(36/42) + 3. Let q(l) be the second derivative of 0 + 7*l - 1/3*l**4 + d*l**3 + 0*l**2. Solve q(t) = 0 for t.
0, 1
Factor 900/7*f**2 + 2/7*f**4 - 74/7*f**3 - 648*f + 8208/7.
2*(f - 19)*(f - 6)**3/7
Let l = 74979 + -74977. Factor -4/13*p + 6/13*p**l - 2/13*p**3 + 0.
-2*p*(p - 2)*(p - 1)/13
Suppose -2*w + 11 = 15, 554 = 4*k - 5*w. Let q be (-4)/34 + 424/k. Find j, given that -6/19 + 2/19*j**q - 10/19*j**2 + 14/19*j = 0.
1, 3
Let i(z) be the third derivative of z**6/60 + 7*z**5/15 + 11*z**4/12 - 26*z**3/3 - 146*z**2. Suppose i(l) = 0. What is l?
-13, -2, 1
Suppose -17*u + 18*u + 1 = 0, -5*d + 2*u = -2. Let o(f) be the first derivative of -8*f**2 + 4/3*f**3 + d*f + 16. Determine k, given that o(k) = 0.
0, 4
Let g(r) = 7*r**2 - 9*r - 15. Let j be g(6). Factor -24*p + 39 + 27 + j*p - 15*p**2.
-3*(p - 11)*(5*p + 2)
Suppose x = 55*l - 46*l - 24, 2*x = 3*l - 18. Factor -a**4 + 0*a + 0 + 1/3*a**5 + 2/3*a**3 + 0*a**l.
a**3*(a - 2)*(a - 1)/3
Let p(w) = 3*w + 39. Suppose 0 = y + 3*q + 21, -y = 3*y + 5*q + 63. Let r be p(y). Factor -5*c**r + 5*c**3 - 2*c**2 + 4*c**2 + 6 - 2*c**3 + 10*c.
-2*(c - 3)*(c + 1)**2
Factor 236*h - 3952*h**2 + 1973*h**2 - 235 + 1978*h**2.
-(h - 235)*(h - 1)
Let c be 15/6 - (-42)/(-84). Let l(o) be the first derivative of 1/2*o**2 - c*o - 32 + 2/3*o**3 - 1/4*o**4. Factor l(d).
-(d - 2)*(d - 1)*(d + 1)
Let l be -6*(-2)/(-20) + 26/10. Factor -5*b**l + 10*b**2 - 14 - 31.
5*(b - 3)*(b + 3)
Find p such that 11*p**3 + p**5 - p**4 - 16 + 77*p**2 + 5*p**4 - 7*p**4 - 61*p**2 - 15*p**3 = 0.
-2, -1, 2
Let x = -104 + -2612. Let w be x/315 + 10 + (-4)/(-10). Factor 32/9*v**2 + 4/9*v**4 + 0 + 20/9*v**3 + w*v.
4*v*(v + 1)*(v + 2)**2/9
Let m be 1/(0 - -1)*(-1007)/(-40280). Let h(l) be the third derivative of m*l**4 + 0*l + 1/50*l**5 - 12*l**2 + 0*l**3 + 0 + 1/200*l**6. Factor h(o).
3*o*(o + 1)**2/5
Let z(y) be the first derivative of -3/5*y**5 + 1/2*y**6 + y**3 + 3*y**2 - 9/4*y**4 + 31 + 0*y. Suppose z(g) = 0. Calculate g.
-1, 0, 1, 2
Let n(m) be the second derivative of -m**4/6 - 1018*m**3/3 + 1019*m**2 + 3*m + 189. Solve n(f) = 0.
-1019, 1
Find x, given that 885735/2*x**3 + 52301766015/4*x + 215233605/2*x**2 + 3645/4*x**4 + 2541865828329/4 + 3/4*x**5 = 0.
-243
Let u be -6*11/66 - -10*((-104)/(-48) - 2). Factor -u*x**3 - 16/3 + 4/3*x**2 + 8/3*x.
-2*(x - 2)**2*(x + 2)/3
Suppose 46*n + 321 = 413. Let v(j) be the first derivative of -3 + 9*j - 3*j**n + 1/3*j**3. Factor v(z).
(z - 3)**2
Let a(k) be the second derivative of -k**9/45360 - k**8/10080 + k**7/1080 - k**6/540 - 13*k**4/2 + 92*k. Let c(u) be the third derivative of a(u). Factor c(n).
-n*(n - 1)**2*(n + 4)/3
Let a(n) be the third derivative of n**6/270 - 4*n**5/27 - 427*n**4/54 - 3332*n**3/27 + 201*n**2. Solve a(h) = 0 for h.
-7, 34
Let j = -2288/3 + 2290/3. Let v(q) be the second derivative of 0*q**3 - 13*q + j*q**4 + 0*q**6 - 2/21*q**7 + 0 + 3/5*q**5 + 0*q**2. Factor v(u).
-4*u**2*(u - 2)*(u + 1)**2
Let r = -49246/27 - -1824. Let s(z) be the first derivative of 4/9*z - r*z**3 - 1/9*z**2 + 9. Factor s(m).
-2*(m - 1)*(m + 2)/9
Let w(m) = -60*m + 312. Let a(x) = -4. Let b(k) = 5*a(k) - w(k). Let l(h) = -h**2 + 63*h - 330. Let s(j) = -3*b(j) + 4*l(j). Factor s(q).
-4*(q - 9)**2
Let v = 16208 + -178287/11. Factor v*f**3 - 16/11*f + 12/11 + 3/11*f**2.
(f - 2)*(f - 1)*(f + 6)/11
Let k(v) be the first derivative of -5*v**3/3 - 80*v**2 + 525*v + 3609. Find u, given that k(u) = 0.
-35, 3
Let l(x) be the first derivative of x**5/5 + 33*x**4/4 - x**3 - 97*x**2/2 + 66*x - 8193. Factor l(k).
(k - 1)**2*(k + 2)*(k + 33)
What is a in -1/4*a**5 - 13/2*a**2 - 19/4*a**4 + 63/4*a - 31/2*a**3 + 45/4 = 0?
-15, -3, -1, 1
Factor -280 + 162 + 805 + 307 + 696*w - 10*w**2.
-2*(w - 71)*(5*w + 7)
Let k(n) be the first derivative of 1/6*n**4 - 8*n**2 + 0*n + 1/60*n**6 + 0*n**3 + 1/10*n**5 - 21. Let o(l) be the second derivative of k(l). Factor o(d).
2*d*(d + 1)*(d + 2)
Find y, given that 216*y + 146*y**4 - 398/3*y**2 - 586/3*y**3 - 40/3 - 62/3*y**5 = 0.
-1, 2/31, 1, 2, 5
Suppose 1/5*l**5 - 1/5*l**3 + 0 + 2*l**2 - 2*l**4 + 0*l = 0. What is l?
-1, 0, 1, 10
Let d(l) = 9*l**2 - 518*l + 2173. Let y be d(53). Factor y + 0*k - 3/4*k**4 - 3/2*k**2 + 9/4*k**3.
-3*k**2*(k - 2)*(k - 1)/4
Let x(j) be the third derivative of 10*j - 2*j**2 + 0 - 4/3*j**3 - 1/9*j**4 + 1/90*j**5. Find p, given that x(p) = 0.
-2, 6
Let t(z) be the third derivative of -z**5/12 - 565*z**4/4 - 191535*z**3/2 - 639*z**2. Factor t(d).
-5*(d + 339)**2
Let c(h) = -h**2 - 18*h + 105. Let n be c(-15). Suppose 141*u = n*u - 27. Determine q, given that 1/4*q**3 + 2 + 3/2*q**2 + u*q = 0.
-2
Factor 2/19*n**4 + 1468/19*n**3 + 143489070/19 + 361584/19*n**2 + 30469284/19*n.
2*(n + 5)*(n + 243)**3/19
Let n(h) be the first derivative of 3/2*h**2 - 1/3*h**3 + 4*h + 17. Factor n(j).
-(j - 4)*(j + 1)
Let n be 5*(26/10 + -2). Let f(q) = q**3 - 104*q**2 + 108*q - 3. Let m be f(1). Find r, given that 37*r**2 - m*r**n + 12*r + 0*r**3 - 35*r**2 = 0.
-2, 0, 3
Suppose 2904 + 5447 = 8062*j - 23897. Let 3*l**5 + 282/7*l**2 + 132/7*l**j + 18/7 + 123/7*l + 288/7*l**3 = 0. Calculate l.
-3, -1, -2/7
Let t(q) be the first derivative of q**3/18 - 467*q**2/2 + 654267*q/2 + 3436. Suppose t(k) = 0. Calculate k.
1401
Let d be ((-303)/202)/((-1)/14). Suppose 5*t = t. Let t*a - 15*a**3 + 2*a**4 + a**4 + 6 + 27*a**2 - d*a = 0. What is a?
1, 2
Let p be ((-4)/10)/((-254808)/31830 - -8). Let m = 155/2 - p. Find z such that 0 + 0*z - 3/7*z**3 - 9/7*z**5 + 0*z**2 - m*z**4 = 0.
-1, -1/3, 0
Let h = 155/353 - -749/706. Let s = 3 - 1. Solve w + 1/2*w**s - h = 0.
-3, 1
Let g be 1600/(-400) + 406/3 + -2 + (-24)/(-6). Factor -80/3*f - g - 4/3*f**2.
-4*(f + 10)**2/3
Let s(p) be the third derivative of -p**8/1680 + 58*p**7/75 + 543*p**6/100 + 1223*p**5/75 + 3263*p**4/120 + 136*p**3/5 + 4585*p**2. Find b, given that s(b) = 0.
-1, 816
Factor 160*q - 3198*q**2 + 349*q**4 + 4816 - 1616 - 533*q**4 - 160*q**3 + 182*q**4.
-2*(q - 1)*(q + 1)*(q + 40)**2
Let x(h) be the second derivative of -2/105*h**7 + 184/3*h**4 + 52/75*h**6 - 241/25*h**5 - h + 1024/5*h**2 - 2432/15*h**3 + 48. Solve x(p) = 0.
1, 8
Let n be (-3)/(-10) - (-595)/350. Suppose -148*f**4 - 64*f - 316*f**2 + 28*f**5 - 339*f**2 + 863*f**n + 96*f**3 = 0. Calculate f.
-1, 0, 2/7, 2, 4
Let g(u) be the third derivative of -206*u**2 - 43/12*u**4 + 0 - 44/3*u**3 + 1/30*u**5 + 0*u. Factor g(z).
2*(z - 44)*(z + 1)
Let l(i) = -3*i - 20. Let b be l(-8). Factor 8*w**4 - 12*w**5 - 2*w**4 + w**b - 10*w**4.
-3*w**4*(4*w + 1)
Let b be 3/((-1)/(-5)*(-100)/(-7860)). Let g = b - 5891/5. Factor 4/5*k**2 - 2/5*k - g + 2/5*k**3.
2*(k - 1)*(k + 1)*(k + 2)/5
Let x(o) = -5*o**4 + 245*o**3 - 665*o**2 - 5*o. Let s(k) = k**5 - k**4 + k**3 - 5*k**2 - k. Let h(z) = -5*s(z) + x(z). Determine c, given 