he first derivative of 1/150*n**6 + 48*n + n**2 + 1/6*n**4 + 7 - 4/75*n**5 - 4/15*n**3. Let l(t) be the second derivative of v(t). Factor l(s).
4*(s - 2)*(s - 1)**2/5
Let u(d) be the third derivative of -d**5/240 + 1603*d**4/48 - 2569609*d**3/24 + 161*d**2 - 3*d + 2. Factor u(f).
-(f - 1603)**2/4
Let w(j) be the first derivative of j**6/4 - 6*j**5/5 - 3*j**4/8 + 8*j**3 - 9*j**2 + 1455. Solve w(c) = 0.
-2, 0, 1, 2, 3
Suppose 3*b + k = 6 - 0, k - 3 = 0. Let f(l) = l**3 + 2*l**2 + 1. Let x(v) = -15*v**3 + 45*v**2 - 85*v + 25. Let a(s) = b*x(s) + 5*f(s). Factor a(h).
-5*(h - 3)*(h - 2)*(2*h - 1)
Factor 0 + 0*g - 72*g**2 - 348/5*g**3 + 3/5*g**5 - 78/5*g**4.
3*g**2*(g - 30)*(g + 2)**2/5
Find c such that -94/3*c - 572/9 + 2/9*c**2 = 0.
-2, 143
Let d(v) = 12*v**3 + 286*v**2 + 1691*v + 2411. Let a(m) = -4*m**3 - 96*m**2 - 564*m - 804. Suppose 3*u - 15 = -3. Let t(r) = u*d(r) + 11*a(r). Factor t(q).
4*(q + 2)*(q + 10)**2
Suppose -p = -2*t - 14, 5*p + 8 - 13 = -3*t. Let l(m) be the first derivative of 0*m - 1/22*m**p + 20 + 4/33*m**3 - 1/11*m**2. Factor l(c).
-2*c*(c - 1)**2/11
Let n = 2920984/5 + -584174. Find f such that -n*f**2 - 3/5*f**5 + 33/5*f**4 - 42/5*f**3 + 9*f + 81/5 = 0.
-1, 1, 3, 9
Let n(r) = r**3 - 566*r**2 + 2060*r - 2104. Let z(o) = -189*o**2 + 684*o - 702. Let g(y) = -3*n(y) + 8*z(y). Let g(c) = 0. What is c?
2, 58
Let j = 2630 - 2630. Let b(x) be the second derivative of -1/4*x**4 - 27*x + j*x**3 + 0*x**2 + 0. Factor b(k).
-3*k**2
Let o(k) be the third derivative of 0*k**3 - 4/105*k**5 - 6*k**2 + 2 + 0*k - 1/210*k**6 - 2/21*k**4. Factor o(b).
-4*b*(b + 2)**2/7
Let t(b) be the second derivative of b**6/720 + b**5/80 + b**4/24 + 34*b**3/3 + 57*b. Let l(q) be the second derivative of t(q). Factor l(i).
(i + 1)*(i + 2)/2
Suppose 3*f + 7*n - 9*n = -244, 0 = -n - 1. Let q = -75 - f. Let -g + 5*g + 4*g + g**2 - q - 2*g = 0. What is g?
-7, 1
Let p(l) be the second derivative of -2*l**6/75 + 6*l**5/25 - l**4/5 - 4*l**3/3 + 7*l + 9. Factor p(b).
-4*b*(b - 5)*(b - 2)*(b + 1)/5
Let c(q) = q**4 + q**3 + 2*q**2 - 7. Let t(j) = 7*j**4 + 70*j**3 + 19*j**2 - 184*j - 180. Let h(p) = -40*c(p) + 5*t(p). Factor h(n).
-5*(n - 62)*(n - 2)*(n + 1)**2
Let f(w) = w**5 - 48*w**4 - 157*w**3 - 108*w**2 + 6. Let v(p) = -p**5 + p**3 + 6. Let o(i) = 2*f(i) - 2*v(i). Solve o(y) = 0.
-2, -1, 0, 27
Let y be ((-1)/3)/((-5)/15) + (3 - -1). Let v(h) be the first derivative of -5/2*h**4 + 7*h**y - 5*h**2 + 5*h + 10/3*h**6 - 1 - 40/3*h**3. Factor v(j).
5*(j - 1)*(j + 1)**3*(4*j - 1)
Let p(x) be the third derivative of -x**5/60 + 19*x**4/24 + 10*x**3/3 - 12*x**2 - 23. Factor p(v).
-(v - 20)*(v + 1)
Let n(a) be the second derivative of 13*a**7/2100 - a**6/60 + a**5/150 + a**3/6 - 6*a**2 + a - 101. Let s(b) be the second derivative of n(b). Factor s(c).
2*c*(c - 1)*(13*c - 2)/5
Let j be (3*(-12)/(-756))/(195/(-70) + 3). Find r, given that -j*r**3 + 8/9*r + 8/9 - 2/9*r**2 = 0.
-2, -1, 2
Let r(l) be the first derivative of 45602*l**5/75 - 90902*l**4/15 + 239992*l**3/15 + 9632*l**2/15 + 128*l/15 + 2033. Find o such that r(o) = 0.
-2/151, 4
Let h(d) be the third derivative of -d**8/168 - 2*d**7/105 - d**6/180 + d**5/30 + 64*d**3/3 + 42*d**2. Let t(y) be the first derivative of h(y). Factor t(q).
-2*q*(q + 1)**2*(5*q - 2)
Factor 204*g**3 + 21*g**4 + 4*g**5 + 112*g - 34*g**4 - 6*g**4 + 268*g**2 + 71*g**4.
4*g*(g + 1)**2*(g + 4)*(g + 7)
Suppose 147*v = 106095 - 105801. Factor 2/7*j**v + 52/7*j - 54/7.
2*(j - 1)*(j + 27)/7
Let k = -503/71 - -2657/355. Find s, given that -54/5*s + 54/5*s**2 + k*s**4 - 18/5*s**3 + 0 = 0.
0, 3
Factor 183 + 184*z - 9911*z**2 + 4953*z**2 + 4959*z**2.
(z + 1)*(z + 183)
Let l(a) = -8*a**4 - 40*a**3 + 110*a**2 + 3528*a. Let y(i) = -19*i**4 - 81*i**3 + 219*i**2 + 7056*i. Let t(x) = -5*l(x) + 2*y(x). Factor t(h).
2*h*(h - 9)*(h + 14)**2
Let g(m) = -2*m**4 - 10*m**3 + 18*m**2 + 2*m + 4. Let k(n) = n**4 + n**3 - 5*n**2 + n - 1. Let h(p) = -g(p) - 4*k(p). Factor h(d).
-2*d*(d - 3)*(d - 1)*(d + 1)
Let f(j) = -2*j**2 - j + 1. Suppose -2*a + 9 = -n - 0, -5*n - 9 = -a. Let z(y) = 95*y**2 + 195*y - 65. Let t(x) = n*z(x) - 25*f(x). Factor t(l).
-5*(l + 4)*(9*l - 2)
Suppose 2*a + 173 = -1. Let w be (58/a)/(4/(-18) - 0). Solve 2/7*p**w - 12/7 + 2/7*p + 8/7*p**2 = 0.
-3, -2, 1
Let r(g) = -2*g**3 + 31*g**2 - 12*g - 22. Let s be r(15). Suppose s*o = 32*o - 675. Suppose 33*h - 158*h - 43 - 19*h**4 - h**4 + o*h**3 + 13 = 0. What is h?
-1, -1/4, 2, 3
Suppose 10*u = 13*u - 6. Let j(l) = 3*l**2 + 0 - 1 - 4*l**u + 2*l**2. Let h(a) = -4*a + 4. Let n(v) = h(v) + j(v). Factor n(x).
(x - 3)*(x - 1)
Let y(s) be the second derivative of s**6/75 - 16*s**5/25 + 2*s**4 + s + 1097. Determine t so that y(t) = 0.
0, 2, 30
Let w = -100316 - -200641/2. Factor -6*s**2 + w*s + 0 + 9/8*s**3 + 3/8*s**4.
3*s*(s - 2)*(s - 1)*(s + 6)/8
Let i(l) be the third derivative of -l**6/30 - 2*l**5/5 + 3*l**4/2 + 36*l**3 - 2029*l**2. Factor i(x).
-4*(x - 3)*(x + 3)*(x + 6)
Suppose 15*q - 64572 + 64524 = -q. Let 1/6*c**q + 0 - 3/2*c**2 + 4/3*c = 0. Calculate c.
0, 1, 8
Suppose -4*x = 5*z - 145, -5*x + 6*x + 3*z - 45 = 0. Factor -x + 11*p + 17*p - 21*p**3 + 10*p**2 + 16*p**3 - 3*p.
-5*(p - 3)*(p - 1)*(p + 2)
Let v(i) be the third derivative of 0*i**4 + 0*i**3 - 1/60*i**5 + 0 - 4*i - 1/210*i**7 - 8*i**2 - 1/60*i**6. Factor v(j).
-j**2*(j + 1)**2
Let k(i) be the second derivative of 0 + 1/12*i**4 - 4*i**3 + 35*i + 72*i**2. Determine l so that k(l) = 0.
12
Let q(n) = -2*n**4 + 794*n**3 - 82364*n**2 + 18*n - 9. Let d(t) = -t**4 + 398*t**3 - 41185*t**2 + 8*t - 4. Let o(l) = 9*d(l) - 4*q(l). Factor o(c).
-c**2*(c - 203)**2
Let i(c) = -135*c**3 - 13839*c**2 - 3412530*c + 976133. Let t(u) = 73*u**3 + 6920*u**2 + 1706264*u - 488066. Let b(o) = -6*i(o) - 11*t(o). Factor b(x).
(x + 494)**2*(7*x - 2)
Suppose 2220 + 1287*f + 1718*f - 3988*f + 2103*f + 5*f**2 = 0. What is f?
-222, -2
Let h(z) = z + 16. Suppose -4*q - 14 = y + 35, 5*q - 3*y = -40. Let w be h(q). Determine n, given that 2*n**5 + 4*n**3 - 7*n**2 - 6*n**w + 7*n**2 = 0.
-1, 0, 1
Let q(f) be the second derivative of f**6/720 - 13*f**5/80 - 5*f**4/6 + 13*f**3/3 + f**2/2 + 95*f. Let w(o) be the second derivative of q(o). Factor w(u).
(u - 40)*(u + 1)/2
Let a(q) = -q**3 - 3*q**2 + q - 3. Let z(c) = -14*c**3 - 6*c**2 - 4*c - 204. Let f(m) = 12*a(m) - z(m). Factor f(l).
2*(l - 14)*(l - 3)*(l + 2)
Let k(j) be the second derivative of j**5/200 - 11*j**4/60 + 61*j**3/60 + 102*j**2/5 - 2236*j. Find g such that k(g) = 0.
-3, 8, 17
Let m(n) be the third derivative of -n**7/525 + 2*n**6/75 + 31*n**5/150 + 11*n**4/30 + 1158*n**2. Find f such that m(f) = 0.
-2, -1, 0, 11
Let a(y) be the third derivative of y**6/100 - 31*y**5/150 + 31*y**4/30 + 56*y**3/15 + y**2 - 109*y. Let a(s) = 0. What is s?
-2/3, 4, 7
Let u(d) be the second derivative of -30*d**5/7 - 10*d**4/3 + 37*d**3/21 - 2*d**2/7 - 383*d + 4. Factor u(g).
-2*(3*g + 2)*(10*g - 1)**2/7
Let m(l) be the first derivative of 4*l**5/3 + 59*l**4/3 + 224*l**3/3 - 24*l**2 + 279. Factor m(z).
4*z*(z + 6)**2*(5*z - 1)/3
Suppose 2 = 5*a - 18. Let c be (-4)/21*(-2 + 7/14). Solve 0 + 0*q**3 - c*q - 1/7*q**a + 3/7*q**2 = 0.
-2, 0, 1
Let f be -1 - ((-1)/(-8) + 49/56). Let h be 180/81 - f/(-9). Factor 0*w**3 + 0 + 3/5*w**5 + 0*w**h + 0*w - 3/5*w**4.
3*w**4*(w - 1)/5
Let q(z) be the second derivative of -z**7/126 + z**6/3 + 103*z**5/60 - 11*z**4/3 - 4335*z. Determine w, given that q(w) = 0.
-4, 0, 1, 33
Let b(m) be the second derivative of -202*m - 3/2*m**2 - 5/12*m**4 + 3/20*m**5 + 0 - 11/6*m**3. Factor b(l).
(l - 3)*(l + 1)*(3*l + 1)
Let u(j) be the second derivative of 2/3*j**3 - 1/6*j**7 + 0*j**2 + 4/3*j**4 - j + 3/20*j**5 - 46 - 8/15*j**6. Suppose u(d) = 0. Calculate d.
-2, -1, -2/7, 0, 1
Let h(b) = b**3 - 21*b**2 - 57*b + 355. Let j(u) = -u**3 + u**2 + u + 4. Let f(q) = h(q) + 2*j(q). Find l such that f(l) = 0.
-11, 3
Let k(f) be the first derivative of 81*f**4/4 + 543*f**3 - 1992*f**2 + 804*f + 6699. Determine z so that k(z) = 0.
-67/3, 2/9, 2
Factor 2543*a**3 + 297648/5*a + 1/5*a**5 + 102987/5*a**2 + 292032/5 + 217/5*a**4.
(a + 3)**3*(a + 104)**2/5
Let b = -296659 - -2373273/8. Suppose 169/2 + b*v**2 + 13/2*v = 0. Calculate v.
-26
Let t = -5415 - -5419. Let i(h) be the third derivative of 0*h**7 + 0*h**t - 1/2352*h**8 + 24*h**2 +