*s**2 - 131*s + 14*s**2.
-2*(s + 29)**2
Let j(z) be the first derivative of 225/8*z**2 + 375/4*z + 15/4*z**3 + 31 + 3/16*z**4. Factor j(u).
3*(u + 5)**3/4
Let d(a) = 2*a**3 + 24*a**2 + 33*a + 21. Let q(s) = s**3 + 13*s**2 + 17*s + 11. Let j(n) = -3*d(n) + 5*q(n). Factor j(i).
-(i + 1)*(i + 2)*(i + 4)
Let b(d) be the first derivative of 5*d**4/12 + 5*d**3/9 - 5*d**2/3 + 323. Factor b(r).
5*r*(r - 1)*(r + 2)/3
Let n = -25277 + 25277. Let g(p) = -p**3 - 9*p**2 - 8*p. Let y be g(-8). Factor 0*a + 1/2*a**3 + y*a**2 + 2*a**4 + n.
a**3*(4*a + 1)/2
Let 2*l**5 - 1 - 43/6*l**3 - 19/6*l**2 + 31/6*l + 25/6*l**4 = 0. What is l?
-3, -1, 1/4, 2/3, 1
Let s = 40739 - 203687/5. Factor -s*c - 8/5 + 2/5*c**3 + 2/5*c**2.
2*(c - 2)*(c + 1)*(c + 2)/5
Factor -5*f**2 - 13/5*f + 0 + 2/5*f**3.
f*(f - 13)*(2*f + 1)/5
Suppose -7/6*s + 1/6 + 5/2*s**2 - 13/6*s**3 + 2/3*s**4 = 0. Calculate s.
1/4, 1
Let f(v) be the second derivative of 0*v**2 + 21*v - 5/6*v**3 + 5/12*v**4 + 0. Let f(y) = 0. What is y?
0, 1
Let j be 39/6*3*20/6. Let n be (j/40)/13*6. Factor -3/8*u**2 + n*u - 3/8*u**3 + 0.
-3*u*(u - 1)*(u + 2)/8
Let i be 0 + (46/14 - 3). Factor 2/7*d**2 + 4/7*d + i.
2*(d + 1)**2/7
Suppose 0 = -13*o - 16*o + 87. Let d(a) be the second derivative of 0 - 1/60*a**6 + 0*a**2 + 1/24*a**o + a + 1/24*a**4 - 1/168*a**7 + 0*a**5. Factor d(r).
-r*(r - 1)*(r + 1)**3/4
Let q(n) be the third derivative of n**5/270 - 10*n**4/27 + 213*n**2. Factor q(b).
2*b*(b - 40)/9
Let j(m) = 7*m**3 + 5*m - 6. Let q(x) = 20*x**3 + 14*x - 17. Suppose 9 = 5*c - 21. Suppose -o - 11 - c = 0. Let u(b) = o*j(b) + 6*q(b). Factor u(d).
d*(d - 1)*(d + 1)
Let t(y) = -2*y**5 - 7*y**4 - y**3 - 10*y**2 + 5*y + 5. Let a(m) = -m**5 - 4*m**4 - m**3 - 6*m**2 + 3*m + 3. Let r(x) = 5*a(x) - 3*t(x). Factor r(s).
s**3*(s - 1)*(s + 2)
Factor 17*y**4 + 108*y**3 + 15*y**4 - 36*y**4 - 780*y**2 + 676*y.
-4*y*(y - 13)**2*(y - 1)
Let h(a) be the third derivative of -a**6/960 - 14*a**2. Factor h(q).
-q**3/8
Let j(o) be the first derivative of 0*o**3 - o**2 + 12 - 1/6*o**5 - 1/6*o**7 + 0*o - 3/8*o**6 + 0*o**4. Let d(x) be the second derivative of j(x). Factor d(s).
-5*s**2*(s + 1)*(7*s + 2)
Let u = 24 + -7. Let m = u - 14. What is f in 13*f**3 + 14*f**m + 27*f - 45*f**2 - 6*f**3 - 3 = 0?
1/7, 1
Let k = -570 - -6258/11. Let m = -14/33 - k. Suppose m*q**5 + 2/3*q**2 + 4/3*q - 2*q**3 - 2/3*q**4 + 0 = 0. What is q?
-1, 0, 1, 2
Let n(b) be the first derivative of b**5/70 + 2*b**4/21 + 4*b**3/21 + 34*b + 35. Let j(h) be the first derivative of n(h). Suppose j(r) = 0. What is r?
-2, 0
Let l(x) be the second derivative of -x**7/1260 - x**6/120 - 3*x**4/2 - 14*x. Let f(s) be the third derivative of l(s). What is g in f(g) = 0?
-3, 0
Let u(z) be the second derivative of z**8/840 - z**6/300 + 6*z**2 - z. Let k(o) be the first derivative of u(o). Factor k(t).
2*t**3*(t - 1)*(t + 1)/5
Suppose 3*t - 547 + 142 = 3*x, -5*x = 5*t + 725. Let z be (-115)/x + (-3)/12. Factor z*h - 2/7*h**2 + 0.
-2*h*(h - 2)/7
Let i be 119/(-2)*(-1620)/(-63). Let d be i/(-75) - 2/5. Solve 15*r**4 - 10*r - 19*r**4 - 4 + 4*r**2 - 10*r**5 + 4*r**2 + 0*r**5 + d*r**3 = 0.
-1, -2/5, 1
Let q = -454 + 458. Let i(v) be the second derivative of 0 + 0*v**2 + 0*v**3 - 1/84*v**q - 6*v. Factor i(b).
-b**2/7
Let u(c) = -15*c**2 + 117*c - 1339. Let v(m) = -7*m**2 + 58*m - 670. Let r(f) = -6*u(f) + 13*v(f). What is z in r(z) = 0?
26
Suppose 2/5*b**3 + 2312/5*b + 0 - 136/5*b**2 = 0. Calculate b.
0, 34
Factor -6 + 4*n**2 + 0*n**2 - 8*n + 7 + 3 + 0*n**2.
4*(n - 1)**2
Let w be (-3 - -2)/(1 - 0). Let b(g) = g**3 + g**2 - g - 5. Let l(c) = -1. Let j(q) = w*b(q) + 4*l(q). Factor j(r).
-(r - 1)*(r + 1)**2
Let b = 19 - 6. Let h(j) = 23*j**3 - 3*j**2 - 33*j + 13. Let s(z) = 11*z**3 - z**2 - 16*z + 6. Let v(u) = b*s(u) - 6*h(u). Factor v(r).
5*r*(r - 1)*(r + 2)
Let j = 105 - 81. Factor -3 + 0 + 21*k - 3 + 3*k**2 + j*k**2.
3*(k + 1)*(9*k - 2)
Let o(l) = -14*l**2 + 29*l - 131. Let x(u) = -5*u**2 + 14*u - 65. Let g(d) = -2*o(d) + 5*x(d). Solve g(t) = 0.
-7, 3
Let f be 8/(-10) + (-61)/5 + 13. Let 1/3*d + 0 - 1/3*d**3 + f*d**2 = 0. Calculate d.
-1, 0, 1
Let j(f) be the third derivative of -f**6/40 + f**5/10 + 13*f**4/8 + 5*f**3 - 46*f**2. Suppose j(g) = 0. What is g?
-2, -1, 5
Suppose 5*r - 2*r - 3*h = 30, 0 = 3*r - 2*h - 32. Let q(w) be the first derivative of -38*w**2 - w**4 + 44*w**3 + 4 - 10*w**4 + 2*w**4 + r*w. Factor q(f).
-4*(f - 3)*(3*f - 1)**2
Suppose 47 - 207 - 25*u**3 + 9*u - 281*u - 210*u**2 + 135*u - 343*u = 0. What is u?
-4, -2/5
Suppose 28 = 4*q + 5*x, 0 = -q + 2*x + 2 - 8. Factor 10*w**3 - 6*w - 22*w**3 - 8*w**4 + 8*w**4 + 2*w**5 + 16*w**q.
2*w*(w - 1)**3*(w + 3)
Let g be 22 + -28 + 362/60. Let k(n) be the second derivative of 0 + 0*n**3 - g*n**4 - 1/100*n**5 + 5*n + 0*n**2. Factor k(x).
-x**2*(x + 2)/5
Let b(g) be the third derivative of -g**8/3528 + 5*g**7/441 - 25*g**6/126 + 125*g**5/63 - 3125*g**4/252 + 3125*g**3/63 - 43*g**2. Find a, given that b(a) = 0.
5
Factor 406425*l**2 + 124590080*l + 3680*l**3 + 609255*l**2 - 29429*l**4 + 29434*l**4 + 5731143680.
5*(l + 184)**4
Let y(f) be the third derivative of 5*f**8/336 + 10*f**7/21 + 37*f**6/24 + 3*f**5/2 - 21*f**2 + 3. Factor y(t).
5*t**2*(t + 1)**2*(t + 18)
Let m = -601 + 605. Let q(s) be the third derivative of 0*s**5 - 1/756*s**8 + 0*s - 1/945*s**7 + 10*s**2 + 0*s**3 + 0 + 0*s**m + 1/540*s**6. Factor q(d).
-2*d**3*(d + 1)*(2*d - 1)/9
Let p(k) be the second derivative of -1/2*k**2 + 25*k + 0*k**3 + 0*k**5 + 0 - 1/30*k**6 + 1/6*k**4. Factor p(q).
-(q - 1)**2*(q + 1)**2
Suppose -2*v - 7*v**5 + 41552*v**3 - 20770*v**3 - 20773*v**3 + 5*v**2 - 5*v**4 = 0. Calculate v.
-1, 0, 2/7, 1
Let f(j) be the third derivative of j**7/2100 + j**6/300 + j**5/100 + j**4/60 + 7*j**3/6 + j**2. Let q(n) be the first derivative of f(n). Factor q(t).
2*(t + 1)**3/5
Let g be -3 + 0 - 3/((-520)/70 + 7). Factor 0*n + 0 - 1/6*n**g + 0*n**2 - 1/3*n**3.
-n**3*(n + 2)/6
Let p(d) be the third derivative of -d**5/30 - 17*d**4/4 + 52*d**3/3 + 109*d**2. Factor p(o).
-2*(o - 1)*(o + 52)
Let r be (0/3)/((-6)/(-3)). Let s be 6/(-18)*(r + -2). Factor 5/3*t**2 + t - s.
(t + 1)*(5*t - 2)/3
Let g(f) be the first derivative of -2*f**3/3 + 8*f**2 - 14*f - 339. Factor g(b).
-2*(b - 7)*(b - 1)
Let q(y) be the third derivative of 16/3*y**3 - 2/3*y**4 + 1/30*y**5 + 0*y + 0 + 4*y**2. Factor q(x).
2*(x - 4)**2
Let d = 618/773 + 2/3865. Solve 2/5*q**2 + d*q**3 + 0*q + 0 = 0.
-1/2, 0
Let y(b) be the second derivative of b**5/10 - 5*b**4/6 + 2*b**3/3 + 8*b**2 + 2*b + 51. Factor y(c).
2*(c - 4)*(c - 2)*(c + 1)
Let k(g) = 1. Let d(l) = -l**2 + 11. Let v(y) = -2*d(y) + 14*k(y). Suppose v(n) = 0. Calculate n.
-2, 2
Let s(h) be the first derivative of 5*h**3/9 + 95*h**2/6 + 30*h - 62. Solve s(v) = 0.
-18, -1
Let y(j) be the second derivative of j**5/450 - 4*j**3/45 - 7*j**2 - 20*j. Let z(u) be the first derivative of y(u). Factor z(c).
2*(c - 2)*(c + 2)/15
Solve 160*d + d**3 + 8 + 187*d - 343*d - 5*d**3 - 8*d**2 = 0.
-2, -1, 1
Let u be (-4)/6 - (-68)/12. Suppose -o = -3*o + 3*h, -u*o - 4*h = -23. Factor -m**2 - 3*m + 3*m**2 - 2*m**3 + o*m**3.
m*(m - 1)*(m + 3)
Suppose -12*k - 66 = -34*k. Let v(l) be the first derivative of -l + 1/6*l**k + 5 - 1/4*l**2. Let v(i) = 0. Calculate i.
-1, 2
Let i(s) be the first derivative of -5*s**6/6 + 18*s**5 - 130*s**4 + 1360*s**3/3 - 840*s**2 + 800*s + 254. Let i(r) = 0. Calculate r.
2, 10
Let i(z) = -16*z**2 + 14*z - 9. Suppose -3*x - 48 = 5*b, x - 4*b - 34 = 3*x. Let u(c) = 3*c**2 - 3*c + 2. Let f(p) = x*u(p) - 2*i(p). Let f(d) = 0. Calculate d.
1, 4
Let o = 23 - 7. Let f be (-21)/(-9) - 2/6. Factor o + i**f + 4*i - 2*i**2 - 20.
-(i - 2)**2
Let m(y) = -y**5 - 19*y**4 - 9*y**3 + 11*y**2 + 26*y + 24. Let v(g) = -g**4 + g**3 + g + 3. Let s(x) = 3*m(x) - 24*v(x). Find f, given that s(f) = 0.
-9, -2, -1, 0, 1
Let v(h) be the third derivative of h**8/53760 + h**7/10080 - h**6/5760 - h**5/480 + 5*h**4/12 - 2*h**2. Let c(j) be the second derivative of v(j). Factor c(i).
(i - 1)*(i + 1)*(i + 2)/8
Suppose 0 = 4*y - 5*c - 17, -3*y - c = -2*c - 10. Let s(l) be the first derivative of 32/5*l**5 + 8 - 11/4*l**2 - 2*l**4 - 1/2*l - 6*l**y. Factor s(r).
(r - 1)*(4*r + 1)**3/2
Let f(y) be the second derivative of y**4/9 - 4*y**3/3 + 10*y**2/3 - 234*y. What is k in f(k) = 0