4 - 1/10*g**6 - 6*g**3 - 11*g + 0 - 9/10*g**5. Factor f(d).
-3*(d + 1)**2*(d + 2)**2
Let h(b) be the third derivative of -b**9/336 - b**8/112 + 11*b**7/504 - b**6/72 + b**4/4 + 21*b**2. Let v(n) be the second derivative of h(n). Factor v(f).
-5*f*(f + 2)*(3*f - 1)**2
Factor -35/2*r**2 - 40*r - 5/2*r**3 - 30.
-5*(r + 2)**2*(r + 3)/2
Let w(x) = 2*x**2 - x + 1. Let b(g) = 10*g**2 - 2. Let f(n) = -b(n) + 2*w(n). Factor f(u).
-2*(u + 1)*(3*u - 2)
Let u(l) = 3*l**2 + 3*l - 4. Let a be ((-32)/72)/((-2)/9). Let n(m) = -16*m**2 - 16*m + 19. Let p(r) = a*n(r) + 11*u(r). Determine w so that p(w) = 0.
-3, 2
Determine u so that 135 - 3/5*u**2 + 3/5*u**3 - 39*u = 0.
-9, 5
Let s(b) be the first derivative of b**3 - 21*b**2/2 - 24*b - 369. Suppose s(m) = 0. Calculate m.
-1, 8
Let b = 8 - 4. Let -3*w**b - w**5 - 3*w**3 + 105*w - w**2 - 105*w = 0. Calculate w.
-1, 0
Let t(l) = 13*l**2 - 1724*l + 384. Let w(j) = 5*j**2 - 1725*j + 385. Let v(d) = 5*t(d) - 4*w(d). Factor v(z).
5*(z - 38)*(9*z - 2)
Let u(k) = -2*k**2 + 82*k. Let y be u(41). Let 0 + y*z + 1/3*z**5 + 1/3*z**4 - 2/3*z**3 + 0*z**2 = 0. Calculate z.
-2, 0, 1
Let m(z) be the second derivative of z**6/36 + 19*z**5/120 - 29*z**4/72 + 5*z**3/36 - 2*z + 113. Factor m(r).
r*(r - 1)*(r + 5)*(5*r - 1)/6
Let m(w) = 7*w**5 + 27*w**4 + 13*w**3 - 21*w**2 - 20*w + 6. Let t(v) = -v**5 - 2*v**4 + v**2 + v - 1. Let a(j) = m(j) + 6*t(j). Determine g so that a(g) = 0.
-14, -1, 0, 1
Let n(p) be the second derivative of p**4/84 - 50*p**3/7 + 11250*p**2/7 + 574*p. Solve n(b) = 0.
150
Let m(s) be the third derivative of 7*s**6/40 + 831*s**5/20 - 119*s**4/4 - 20*s**2 + 4*s. Let m(v) = 0. Calculate v.
-119, 0, 2/7
Let v(z) = -z**2 - 125*z - 2716. Let x be v(-97). Factor m**3 + x - 4/3*m + 0*m**2 + 1/3*m**4.
m*(m - 1)*(m + 2)**2/3
Let u(g) = -g**3 + 42*g**2 + 134*g + 45. Let a be u(45). Factor -2/5*s**2 + a + 0*s + 2/5*s**3.
2*s**2*(s - 1)/5
Let y(n) be the third derivative of n**6/30 + 3*n**5/5 + 5*n**4/2 - 50*n**3/3 + n**2. Factor y(t).
4*(t - 1)*(t + 5)**2
Suppose 8*z - 40 = 4*z. Let m = 10 - z. Factor 2/5*g + m + 2/5*g**2.
2*g*(g + 1)/5
Suppose -5*r = -8*r - 306. Let t = r + 411/4. Find y, given that 5/4*y**3 - 1/4*y**2 - 1/4*y + 0 - t*y**4 = 0.
-1/3, 0, 1
Suppose -22/5 - 18/5*l + 4/5*l**2 = 0. What is l?
-1, 11/2
Let m be -327*7/((-21)/10). Let n = -9796/9 + m. Factor -n*w - 10/9*w**2 - 2/3 - 2/9*w**3.
-2*(w + 1)**2*(w + 3)/9
Suppose 0 = t - 10 + 2. Let x be -1 - (t/2 + -7). Factor 2/7*b**x + 2/7*b + 0.
2*b*(b + 1)/7
Let m = 20 + 20. Let a be m/(-30) - (-2 - (-14)/(-6)). Solve 6/7*l + 2/7*l**a + 2/7 + 6/7*l**2 = 0 for l.
-1
Let u(m) be the first derivative of m**6/24 + 5*m**5/4 + 203*m**4/16 + 539*m**3/12 - 852. Solve u(j) = 0 for j.
-11, -7, 0
Let c(g) be the third derivative of 0*g**5 + 4/105*g**7 + 0*g**3 + 1/84*g**8 + 7*g**2 + 0 + 0*g**6 + 0*g + 0*g**4. Factor c(l).
4*l**4*(l + 2)
Let y(w) be the second derivative of 4*w**6/15 + 23*w**5/5 + 10*w**4/3 - 22*w**3/3 + 559*w. Factor y(u).
4*u*(u + 1)*(u + 11)*(2*u - 1)
Let n(u) be the third derivative of -1/420*u**6 + 0 - 10*u**2 + 0*u + 0*u**3 + 1/42*u**4 + 1/210*u**5. Factor n(q).
-2*q*(q - 2)*(q + 1)/7
Let p(s) be the first derivative of s**8/14280 + s**7/7140 - s**6/3060 - s**5/1020 - 41*s**3/3 + 11. Let h(d) be the third derivative of p(d). Factor h(x).
2*x*(x - 1)*(x + 1)**2/17
Factor 2/9*m**2 - 70/3*m + 0.
2*m*(m - 105)/9
Factor 368*g**3 - 4*g**4 - 224*g**2 - 139*g**3 + 2 - g**3 - 2.
-4*g**2*(g - 56)*(g - 1)
Factor 4/5*r + 0 - 2/5*r**3 - 2/5*r**2.
-2*r*(r - 1)*(r + 2)/5
Factor 2/5*k**4 - 2/15*k**5 + 2/15*k**2 - 2/5*k**3 + 0 + 0*k.
-2*k**2*(k - 1)**3/15
Let q(g) = 7*g**3 + 135*g**2 - 268*g - 78. Let z(o) = -2*o + 1. Let s(i) = -q(i) + 6*z(i). Factor s(f).
-(f - 2)*(f + 21)*(7*f + 2)
Let b(t) = -50*t**2 + 15*t - 645. Let o(a) = -3*a**2 - 38. Let f(l) = -2*b(l) + 35*o(l). Factor f(w).
-5*(w + 2)*(w + 4)
Let v(g) be the second derivative of 11*g + 1/15*g**6 - 1/2*g**4 + 0 - 2*g**2 + 1/10*g**5 - 5/3*g**3. Factor v(o).
2*(o - 2)*(o + 1)**3
Let p = -48 + 45. Let l be (-4)/(-6)*p/(-4). Let 1/2*o**2 + l - o = 0. Calculate o.
1
Let f be (5 - (3 + -2)) + 0. Suppose 3*v = 4*v + 3*a + 10, -v - 15 = 4*a. Factor -268*k + 268*k - 2*k**2 - 3*k**f - v*k**3.
-k**2*(k + 1)*(3*k + 2)
Let y(s) = -s**2 + s - 11. Let h(z) = 1. Let k(o) = -3. Let a(f) = 7*h(f) + 2*k(f). Let m = 94 - 98. Let q(t) = m*y(t) - 44*a(t). Suppose q(r) = 0. What is r?
0, 1
Let c(j) = 11*j**3 + 175*j**2 + 2880*j + 2692. Let x(b) = -7*b**3 - 117*b**2 - 1920*b - 1795. Let f(z) = -5*c(z) - 8*x(z). Factor f(s).
(s + 1)*(s + 30)**2
Let p(v) be the second derivative of -v - 7/24*v**3 - 1/120*v**6 - 1/4*v**2 + 6 - 3/16*v**4 - 1/16*v**5. Let p(j) = 0. What is j?
-2, -1
Solve -64*i + 1024/3*i**2 + 3 = 0.
3/32
Suppose 7*u = -48 - 36. Let k be (-2)/u - 4/24. Let 0*r + 1/3*r**2 + k = 0. Calculate r.
0
Suppose 5*a + 3*z - 135 = -593, 0 = -2*a - z - 183. Let j be 702/a*1/(-2). Factor j*w**2 - 3/7*w**3 - 81/7*w + 81/7.
-3*(w - 3)**3/7
Let y be ((-16)/28)/(12/7 - 2). Let s = -6 + 9. Solve 6*n**5 + 19*n**3 + 4*n - 18*n**y + 26*n**3 - 22*n**4 - 15*n**s = 0.
0, 2/3, 1
Let r be 38/8*((-155)/(-35) - 4). Let u = r - 3/4. Determine p, given that -u*p + 3/7 - 3/7*p**3 + 9/7*p**2 = 0.
1
Let s(a) = a**3 + a + 1. Let f(v) = 0*v**5 + 1 - 8 - 7*v + v**5 - 8*v**3. Let q = 36 + -34. Let d(y) = q*f(y) + 14*s(y). Let d(x) = 0. Calculate x.
-1, 0, 1
Factor -10*v**2 - 4/7*v**3 + 144/7*v - 72/7 + 2/7*v**4.
2*(v - 6)*(v - 1)**2*(v + 6)/7
Let q(w) = w**2 - 18*w - 17. Let g be q(-1). Let f(k) be the first derivative of -2/21*k**3 + 2/7*k + 2 + 0*k**g. Solve f(c) = 0.
-1, 1
Let t(r) = -r**4 + 4*r**3 + 13*r**2 + 6*r. Let b(v) = -3*v**4 + 12*v**3 + 40*v**2 + 18*v. Let i(a) = 2*b(a) - 7*t(a). Factor i(q).
q*(q - 6)*(q + 1)**2
Let u be (32/(-20) - -2)*85. Find m, given that u*m - 6*m**2 - 9 + 25*m - 38*m = 0.
1/2, 3
Let o be 20*(-75)/5625*(-30)/4*1. Let p = 254/3 + -84. Suppose p*b**o + 0 + 4/3*b = 0. Calculate b.
-2, 0
Let u be 7/(-510)*26/(-182). Let j(p) be the third derivative of -u*p**5 + 3*p**2 + 0 - 1/1785*p**7 + 0*p**3 + 0*p + 1/510*p**6 + 0*p**4. Factor j(w).
-2*w**2*(w - 1)**2/17
Factor -1/5*m**3 + 3/5*m + 0*m**2 + 2/5.
-(m - 2)*(m + 1)**2/5
Factor -41/4*m**2 + 0 - 1/4*m**4 + 0*m + 21/2*m**3.
-m**2*(m - 41)*(m - 1)/4
Let v = 2/5669 - -39673/28345. Factor -v*w + 1/5*w**2 + 6/5.
(w - 6)*(w - 1)/5
Suppose -b + 3*h = -3 - 11, 0 = b - 2*h - 11. Suppose 0 = -b*y + 9 + 6. Suppose -2 - 6*u + 4 + 3*u - 2*u**2 + y*u**2 = 0. What is u?
1, 2
Let i(g) be the first derivative of 4*g**5/5 + 16*g**4 + 256*g**3/3 - 113. Determine d so that i(d) = 0.
-8, 0
Suppose 13*y = 10*y + 6. Let i(v) = -24*v**3 - 49*v**2 - 26*v + 10. Let s(t) = -5*t**3 - 10*t**2 - 5*t + 2. Let m(x) = y*i(x) - 11*s(x). Factor m(n).
(n + 1)**2*(7*n - 2)
Let u be (-135)/(-108)*((-8)/(-5) - 1). Let k(i) be the first derivative of -4*i**3 + 6*i**2 + 0*i + 5 + u*i**4. Factor k(o).
3*o*(o - 2)**2
Let o(z) = -z**2 - 14*z + 5. Let x be o(-14). Suppose -i + v = 0, 0*v = i - x*v. Factor -2*m + i*m + 0*m**4 - m**4 - 4*m**3 - 5*m**2 + 0*m.
-m*(m + 1)**2*(m + 2)
Let j be ((-4)/3)/(1 + (-102)/9). Let k = j - -15/124. What is n in -k*n**2 + 0 - 1/2*n = 0?
-2, 0
Let l be (-34)/(-459) - (-10)/(-135). Suppose -2/17*i**4 + 0*i + 0*i**2 + 2/17*i**3 + l = 0. Calculate i.
0, 1
Let o(h) = -h**3 + 15*h**2 + 2*h - 28. Let l be o(15). Factor -3*y**4 + y**2 - l*y**5 - 94*y**3 + 96*y**3 + y**2 + y**4.
-2*y**2*(y - 1)*(y + 1)**2
Let f(k) be the first derivative of 2*k**5/25 - k**4/10 - 2*k**3/5 + k**2 - 4*k/5 + 23. Find q such that f(q) = 0.
-2, 1
Let i be -19 + 340/34 + (-62)/(-6). Solve i*p**3 + 1/3*p**2 + 2 - 11/3*p = 0 for p.
-2, 3/4, 1
Let b = -3716 - -3718. Let 0 + 4/17*z - 10/17*z**b = 0. Calculate z.
0, 2/5
Let u(x) be the first derivative of -x**6/18 - x**5 - 23*x**4/12 + 43*x**3/9 + 8*x**2 - 52*x/3 - 108. Suppose u(f) = 0. What is f?
-13, -2, 1
Let d(m) = m + 1. Let n be d(4). Factor -2*i**4 + 9*i**4 - 8*i**3 - n*i**4 + 8*i**2.
2*i**2*(i - 2)**2
Suppose -5*b - 42 = -15*f + 11*f, 2*f - 4*b = 30. Solve -6/5*o**4 + 0 - 4/5*o - 16/5*o**f - 14/5*o**2 = 0 for o.
-1, -2/3, 0
Let x(b) be the third derivative of 0*b**3 + 2/15*b**5 + 2/35*b**7 - 9*b**2 + 0*b**4 - 1/6*b**6 + 0 + 0*b. Factor x(t).
4*t**2*(t - 1)*(3*t - 2)