(n) be the second derivative of -n**2/2 + 8*n. Let z(s) = -2*s**2 - 8*s - 17. Let v(c) = f*z(c) - 22*u(c). Factor v(q).
-4*(q + 1)*(q + 3)
Let j = 540 + -539. Find t such that -29*t**3 - 21*t + j + 2*t - 9 - t**5 - 43*t**2 - 9*t**4 - 11*t + 0*t = 0.
-4, -2, -1
Suppose 565*d - 560*d = 10. Let y(p) be the third derivative of 0 + 0*p + 13*p**d + 0*p**3 + 1/40*p**6 + 0*p**4 + 1/10*p**5. Factor y(w).
3*w**2*(w + 2)
Suppose -3*r - d = 2, 10*r - d + 81 = 109. Let -4/9*j**4 + 4/9*j**5 + 0*j - 4/9*j**3 + 0 + 4/9*j**r = 0. What is j?
-1, 0, 1
Let v(m) be the second derivative of 3*m**5/20 + 45*m**4/4 - 123*m - 2. Factor v(b).
3*b**2*(b + 45)
Let z(v) = 8*v**3 + 20*v**2 + 44*v + 39. Let u(i) = 7*i**3 + 20*i**2 + 43*i + 36. Let p(h) = 7*u(h) - 6*z(h). Solve p(m) = 0 for m.
-18, -1
Let h be (((-1)/(-2))/(110/(-176)))/((-18)/45). Factor 1/6*v**4 - 50/3*v**3 - 31250/3*v + 625*v**h + 390625/6.
(v - 25)**4/6
Let r = 253 - 249. Suppose 2*z + 6 = 0, -r*z = -x + 7 + 7. Let 1/5*m**x + 0 + 1/5*m = 0. Calculate m.
-1, 0
Let x(j) = -54*j**2 - 440*j - 62. Let s be x(-8). Suppose 8/9 - 2/3*v**s + 4/9*v**3 + 2/9*v**4 - 8/9*v = 0. What is v?
-2, 1
Factor -201*d - 57 + 58*d**3 - 33*d**3 - 96*d**2 - 22*d**3 - 45.
3*(d - 34)*(d + 1)**2
Let j(y) be the second derivative of 0*y**2 + 3/4*y**4 + 2 + 1/40*y**5 + 3*y + 0*y**3. Factor j(n).
n**2*(n + 18)/2
Let q(n) = -2*n**2 - 4*n**3 - 1 + 0*n**4 + 2 + n**4 - n**2 + 5*n**3. Let y(r) = r**4 - 11*r**3 + 12*r**2 - 2. Let t(b) = -2*q(b) - y(b). What is h in t(h) = 0?
0, 1, 2
Let v(f) be the second derivative of f**6/10 + 153*f**5/10 + 675*f**4 + 2500*f**3 - 3037*f. Suppose v(w) = 0. What is w?
-50, -2, 0
Let r be 2/(-3 + 5) + (0 - -488). Let d = 3429/7 - r. Solve d + 3/7*i**3 + 15/7*i + 12/7*i**2 = 0 for i.
-2, -1
Let m = -99850 + 99853. Factor -3/4*b**m + 0 + 1/2*b**4 - b - 2*b**2 + 1/4*b**5.
b*(b - 2)*(b + 1)**2*(b + 2)/4
Suppose 0 = 4*f - 4*v - 1384, -4*f - 2*v = -0*v - 1384. Let j = f + -4496/13. Factor -6/13*t + 0 - j*t**3 - 8/13*t**2.
-2*t*(t + 1)*(t + 3)/13
Let p(l) be the second derivative of l**6/5 - 31*l**5/10 - 50*l**4/3 - 52*l**3/3 - 3*l + 309. Factor p(d).
2*d*(d - 13)*(d + 2)*(3*d + 2)
Let p(y) be the second derivative of y**4/6 - 161*y**3/3 - 492*y**2 + 10*y + 19. Factor p(b).
2*(b - 164)*(b + 3)
Let u(m) be the first derivative of -m**4/26 - 2*m**3/3 + 84*m**2/13 - 216*m/13 - 4521. Determine t so that u(t) = 0.
-18, 2, 3
Let m(a) be the second derivative of 18356/3*a**3 - 2028*a**2 + 310*a - 9/5*a**6 + 0 + 1059/5*a**5 - 126013/18*a**4. Factor m(i).
-2*(i - 39)**2*(9*i - 2)**2/3
Let n(b) be the third derivative of -5*b**7/56 + 213*b**6/16 - 409*b**5/80 - 339*b**4/8 - 85*b**3/2 - 68*b**2 - 18*b. Find o such that n(o) = 0.
-2/5, 1, 85
Let g(j) be the third derivative of -j**7/15 - 71*j**6/120 - 47*j**5/60 + 41*j**4/8 + 3*j**3/2 + 2890*j**2. Factor g(k).
-(k - 1)*(k + 3)**2*(14*k + 1)
Let l(p) be the third derivative of p**5/360 - 413*p**4/72 + 170569*p**3/36 - p**2 - 16*p - 17. Suppose l(t) = 0. What is t?
413
Suppose -4 = -l + 6*m, -5*m + 12 = 270*l - 267*l. Let -1/3*s**4 - 11/3*s**2 + l - 7/3*s + 7/3*s**3 = 0. What is s?
-1, 1, 3, 4
Let q(y) be the third derivative of -y**8/336 - y**7/7 - 59*y**6/20 - 511*y**5/15 - 1911*y**4/8 - 1029*y**3 + 3140*y**2. Factor q(f).
-(f + 3)*(f + 6)*(f + 7)**3
Let q(p) = 4*p**3 + 536*p**2 + 17976*p + 143100. Let a(n) = n**2 - n + 4. Let x(j) = -36*a(j) + q(j). Factor x(u).
4*(u + 11)*(u + 57)**2
Let r(y) be the second derivative of -y**7/42 - y**6/12 + y**5/12 + 5*y**4/12 + 67*y**2 - 185*y. Let l(s) be the first derivative of r(s). Factor l(o).
-5*o*(o - 1)*(o + 1)*(o + 2)
Let k(c) be the first derivative of 2*c**3/9 - 88*c**2/3 + 170*c - 11223. Find b, given that k(b) = 0.
3, 85
Let s(l) = -618*l + 27192. Let h be s(44). Factor 0 + 3/4*r**4 + h*r**3 + 0*r - 3*r**2.
3*r**2*(r - 2)*(r + 2)/4
Let y be -15 - ((-8448)/242 + 17). Factor 30/11*i + y - 2/11*i**2.
-2*(i - 16)*(i + 1)/11
Let r(s) = -571787*s**4 + 41340*s**3 - 990*s**2 + 14*s - 6. Let q(x) = x**3 + x**2 + x - 1. Let o(a) = 6*q(a) - r(a). Suppose o(y) = 0. Calculate y.
0, 2/83
Let v(i) be the first derivative of -i**6/1620 - 17*i**5/540 + 19*i**4/54 + 98*i**3/3 - 134. Let a(y) be the third derivative of v(y). What is j in a(j) = 0?
-19, 2
Factor 74/7*b**2 + 0 + 2/7*b**3 + 600/7*b.
2*b*(b + 12)*(b + 25)/7
Let l(u) be the third derivative of -u**7/1470 - 17*u**6/210 - 77*u**5/60 - 59*u**4/21 + 1011*u**2 + 2*u - 1. Factor l(p).
-p*(p + 1)*(p + 8)*(p + 59)/7
Let a(g) = 25*g**3 + 25*g**2 + 20*g + 10. Let r(s) = 23*s**3 + 25*s**2 + 20*s + 9. Let m(d) = 9*a(d) - 10*r(d). Factor m(y).
-5*y*(y + 1)*(y + 4)
Let w be 11 + 19*165/66*(-2)/11. Factor 0 + w*m + 2/11*m**2.
2*m*(m + 13)/11
Let w = -1713394/11 + 155822. Factor -w - 2/11*g**2 + 72/11*g.
-2*(g - 18)**2/11
Let x(k) = k**2 + 1. Let w(u) = -2*u**2 + 24*u + 37. Let n(d) = w(d) - 4*x(d). Let z(f) = -17*f**2 + 73*f + 98. Let g(v) = 8*n(v) - 3*z(v). Factor g(o).
3*(o - 10)*(o + 1)
Let j(w) be the first derivative of w**4/22 + 10*w**3/3 + 158*w**2/11 + 208*w/11 + 496. Factor j(a).
2*(a + 1)*(a + 2)*(a + 52)/11
Let u(g) be the first derivative of 50*g**3/3 - 555*g**2/2 + 55*g - 807. Determine l so that u(l) = 0.
1/10, 11
Let r(l) be the third derivative of l**5/12 - 805*l**4/24 + 400*l**3/3 - 1080*l**2. Factor r(o).
5*(o - 160)*(o - 1)
Let h = -673/15 - -713/15. Determine a so that -16/3*a**2 + 4/3*a**4 + 0 - 32/3*a + h*a**3 = 0.
-2, 0, 2
Let x(u) be the third derivative of -u**7/1155 - 97*u**6/132 - 26243*u**5/110 - 4328807*u**4/132 - 8346562*u**3/33 + u**2 - 83*u. Suppose x(k) = 0. Calculate k.
-161, -2
Let t(f) = f**2 + 1853*f + 2. Let h be t(0). Let x(k) be the first derivative of -3/8*k**h - 6 + 3/2*k - 1/4*k**3. Suppose x(m) = 0. What is m?
-2, 1
Let b be ((-55)/(-330) - 75/18) + 76/16. Factor 21/2 + 45/4*q + b*q**2.
3*(q + 1)*(q + 14)/4
Determine x, given that -3302 + 992*x + 17434 - 4*x**5 + 1244 - 11516*x**2 - 4588*x**3 - 260*x**4 = 0.
-31, -2, 1
Let z be 5/3 + 89260/(-780). Let y = -112 - z. Factor y*v**2 - 4/13 + 6/13*v.
2*(v + 1)*(5*v - 2)/13
Suppose 0 = 2*n, -2*i + n = -7*i + 10. Suppose -i*o + 3*o = 5. Factor 83*d**4 - 79*d**4 - d**5 - 3*d**o.
-4*d**4*(d - 1)
Let y(p) be the third derivative of -1/20*p**6 - 1/2*p**4 + 0*p**3 + 1/70*p**7 - 4*p - 7/20*p**5 + 0 - 3*p**2. Factor y(x).
3*x*(x - 4)*(x + 1)**2
Suppose 0 = 4*d + 20, 2*v + 3*d = 4*v - 29. Factor -368*y**2 + y + 22*y - 40 + 363*y**2 + v*y.
-5*(y - 4)*(y - 2)
Let v(l) be the third derivative of l**7/10080 + 31*l**6/2880 - 47*l**4/24 - 110*l**2. Let q(i) be the second derivative of v(i). Factor q(g).
g*(g + 31)/4
Factor 296/3*a + 0 - 1/3*a**2.
-a*(a - 296)/3
Let 502 - 302 + 53*s - 157*s + 2*s**2 = 0. Calculate s.
2, 50
Let b(q) = -q**3 + 20*q**2 - 18*q - 17. Let c be b(19). Suppose 5*h - 17 = -c. Suppose 0*l + 686 - 2*l**3 + 42*l**2 + 4*l**h + 300*l - 6*l = 0. What is l?
-7
Let l = 64/6395 - -37922/44765. Let -2/7*p**2 + l*p + 8 = 0. What is p?
-4, 7
Factor -3136 - 2382*p**4 - 114*p**3 - 6384*p - 2375*p**4 - 2373*p**4 - 3361*p**2 + 7129*p**4.
-(p + 1)**2*(p + 56)**2
Let b(h) = 9*h**2 - 19*h - 24. Suppose -7 = -f - t - 0, 19 = 4*f + t. Let w(r) = -16*r**2 + 39*r + 48. Let d(s) = f*w(s) + 7*b(s). Solve d(a) = 0.
-1, 24
Suppose 17*w = 81 + 21. Suppose -7*n + 2*n = -w*n. Factor 0*h + n + 4/5*h**2 - 24/5*h**3.
-4*h**2*(6*h - 1)/5
Let 18*k**2 + 2/15*k - 62/5*k**3 + 4/15*k**4 - 6 = 0. Calculate k.
-1/2, 1, 45
Determine u so that 0*u - 3/4*u**4 + 107/4*u**3 + 79/4*u**2 - 1 - 35/4*u**5 = 0.
-1, -2/7, 1/5, 2
Let s(i) be the second derivative of 1/4*i**5 + 7/6*i**3 - i - 1/30*i**6 + 24 - i**2 - 3/4*i**4. Factor s(t).
-(t - 2)*(t - 1)**3
Let h(k) = -k**3 + 30*k**2 - 6*k + 35. Let w be h(30). Let b = 148 + w. Factor -2*l - 1/2*l**b - 2*l**2 + 0.
-l*(l + 2)**2/2
Let h(g) be the first derivative of -3*g**5/40 + 21*g**4/4 + 59*g**3/2 + 45*g**2 + 3854. Solve h(w) = 0 for w.
-2, 0, 60
Let q = 1389 - 4165/3. Let r(d) be the first derivative of -d**2 - 4 + 0*d - q*d**3. Factor r(v).
-2*v*(v + 1)
Let t(w) be the second derivative of 3*w**5/100 - w**4/4 - 22*w**3/5 - 18*w**2 - 115*w - 3. Factor t(f).
3*(f - 10)*(f + 2)*(f + 3)/5
Let d = -39 + 40. Let y = 5 - d. Factor 2*x**4 - 6*x**3 - 4*x**4 + 0*x**4 - x**y.
-3*x**3*(x + 2)
Let z(x) be the f