05 - 2*n**6/15 + n**5/5 + 27*n**2/2 + 23. Let m(l) be the second derivative of a(l). Factor m(o).
4*o**2*(o - 3)*(o - 1)
Let v(i) = 9*i**3 - 66*i**2 + 363*i. Let f(g) = -17*g**3 + 132*g**2 - 726*g. Let c(m) = -6*f(m) - 11*v(m). Suppose c(k) = 0. Calculate k.
0, 11
Let c(b) = -4 - 2 + 3 - 3*b. Let f be c(-2). Factor -3*d + 24*d**3 - 25*d**f - 1 + 3*d**2 + 2.
-(d - 1)**3
Solve 9610 - 99*x + 1314*x + 2707*x**2 - 2387*x**2 - x**3 - 6640*x - 4*x**3 = 0 for x.
2, 31
Let z(s) = s**5 - s**4 + s**3 + s. Let n(j) be the first derivative of -2*j**6/3 + 7*j**5/5 - j**4 - j**2/2 - 12. Let i(c) = n(c) + z(c). Factor i(q).
-3*q**3*(q - 1)**2
Let k(f) = f**2 - 9*f + 12. Let s be k(8). Solve -16*r**4 + s*r**4 + 21*r**3 - 17*r**5 + 5*r**5 - 5*r**2 - r**2 = 0 for r.
-2, 0, 1/2
Let g(n) be the first derivative of -n**4/5 - 4*n**3/15 + 2*n**2/5 + 4*n/5 + 7. Solve g(x) = 0 for x.
-1, 1
Factor 59 + 51*k + 25 - 3*k**2 + 30.
-3*(k - 19)*(k + 2)
Let m(v) be the first derivative of 4/7*v**4 + 4/7*v**2 - 15 + 4/35*v**5 + 0*v + 20/21*v**3. Let m(w) = 0. Calculate w.
-2, -1, 0
Let z(q) be the third derivative of -q**5/90 - q**4/6 - 8*q**3/9 + 10*q**2 + 4*q. Factor z(v).
-2*(v + 2)*(v + 4)/3
Let k(c) = c**3 + 25*c**2 + 41*c - 113. Let h be k(-23). Determine g, given that -21/4*g**4 - 29/4*g**3 + 0 - 1/2*g - 5/4*g**5 - 15/4*g**h = 0.
-2, -1, -1/5, 0
Let u(z) be the third derivative of -z**8/504 + 2*z**7/315 + z**6/180 - z**5/45 - 63*z**2. Let u(b) = 0. Calculate b.
-1, 0, 1, 2
Factor -23*l**2 + 4919*l - 2355*l + 2*l**3 - 13*l**2 - 64 + 2*l**3 - 2468*l.
4*(l - 4)**2*(l - 1)
Let y(t) be the second derivative of 5*t**4/12 + 5*t**3/2 - 12*t + 1. Find d such that y(d) = 0.
-3, 0
Let c(u) be the first derivative of -3/2*u**2 - 1/16*u**4 + 2*u + 1/2*u**3 + 12. Factor c(v).
-(v - 2)**3/4
Let o(x) be the third derivative of 5*x**8/168 - x**7/6 + 7*x**6/24 - x**5/6 - 7*x**2 + 8. Solve o(l) = 0.
0, 1/2, 1, 2
Let o(a) = 41*a**3 + 198*a**2 - 58*a - 2. Let y(b) = 1110*b**3 + 5345*b**2 - 1565*b - 55. Let u(s) = 55*o(s) - 2*y(s). Determine l so that u(l) = 0.
-6, 0, 2/7
Let w = -44 + 48. Let b(r) be the first derivative of 1/9*r**w + 2/9*r**3 + 3 + 0*r - 2/9*r**2. Determine n so that b(n) = 0.
-2, 0, 1/2
Let z(x) be the first derivative of -2*x**3/51 + 5*x**2/17 - 8*x/17 - 112. Factor z(r).
-2*(r - 4)*(r - 1)/17
Let r(h) be the first derivative of 5*h**4/2 - 15*h**3 - 15*h**2 + 25*h - 90. Factor r(t).
5*(t - 5)*(t + 1)*(2*t - 1)
Let q = 6 + -13. Let w be (-188)/(-14) + 3/q. Find i such that w*i**5 - 9*i**5 - 8*i**5 + 4*i**4 = 0.
0, 1
Factor -3/5*h**5 - 504/5*h**3 - 66/5*h**4 - 294*h**2 + 0 - 1029/5*h.
-3*h*(h + 1)*(h + 7)**3/5
Let w = -50601 + 6527474/129. Let k = -4/43 - w. Suppose -7/3*c**2 + 0 + k*c**4 - 2/3*c**5 + 2*c**3 + 2/3*c = 0. Calculate c.
-2, 0, 1/2, 1
Suppose 36*b + 14 = 158. Suppose 24 = 4*u - 4*m - 0*m, b*m = -16. Suppose -1/7*w**4 - 1/7*w**u - 3/7*w + 3/7*w**3 + 2/7 = 0. What is w?
-1, 1, 2
Let j(l) be the third derivative of 6/7*l**3 + 1/840*l**6 - 10*l**2 + 0*l + 0 - 11/420*l**5 + 1/7*l**4. Let j(f) = 0. Calculate f.
-1, 6
Let s(x) = -2*x**4 - 7*x**3 + 3*x**2 + 8*x - 8. Let n = 28 - 34. Let y(q) = -14*q**4 - 50*q**3 + 20*q**2 + 56*q - 56. Let z(j) = n*y(j) + 44*s(j). Factor z(d).
-4*(d - 1)**2*(d + 2)**2
Let g be (1/(-4))/(60/(-16)). Let i(a) be the third derivative of 0 - 1/12*a**4 - g*a**5 - 1/60*a**6 + 0*a + 0*a**3 + 4*a**2. Factor i(t).
-2*t*(t + 1)**2
Let w(a) be the first derivative of -a**4/4 - a**2/2 + 12. Let x(s) = 3*s**3 + 4*s**2 + 7*s + 2. Let y(t) = -6*w(t) - 3*x(t). What is n in y(n) = 0?
-2, -1
Let k be ((-302)/50 + 6)*-2. Let i(g) be the first derivative of 4/5*g**3 + k*g**5 + 2/5*g + 4/5*g**2 + 1 + 2/5*g**4. Factor i(z).
2*(z + 1)**4/5
Factor -77*j**5 + 245*j**5 - 84*j**5 + 4*j**3 - 85*j**5 - 3*j**4.
-j**3*(j - 1)*(j + 4)
Let z(j) be the second derivative of -j**6/120 - j**5/20 - j**4/12 + 13*j**2/2 - j. Let y(b) be the first derivative of z(b). Find f, given that y(f) = 0.
-2, -1, 0
Let d be 32 - 8/(1 - 3). Let x be d/(-126)*-7*1. Factor -2 - 4*l**x + 4 - 4*l**3 + 4*l + 4 - 2.
-4*(l - 1)*(l + 1)**2
Factor -5*k - 1/8*k**3 + 75/2 - 17/8*k**2.
-(k - 3)*(k + 10)**2/8
Determine f so that -12/5*f**4 - 12/5 + 24/5*f**2 - 4/5*f + 8/5*f**3 - 4/5*f**5 = 0.
-3, -1, 1
Let o(j) be the third derivative of -j**6/240 + 3*j**5/40 - 7*j**4/24 - 2*j**2 + 33*j. Determine g so that o(g) = 0.
0, 2, 7
Suppose -y + 135 = 4*y. Let h(o) = -21*o**2 + 21*o + 15. Let j(a) = 3*a**2 - 3*a - 2. Let x(s) = y*j(s) + 4*h(s). Find n, given that x(n) = 0.
-1, 2
Let w(g) be the third derivative of 0 + 1/20*g**4 + 0*g**3 + 1/150*g**5 + 0*g + 9*g**2. Factor w(a).
2*a*(a + 3)/5
Let d = -43 - -45. Factor 4*g + 59 - 2*g**d - 2*g**3 + 57 - 116.
-2*g*(g - 1)*(g + 2)
Let n(p) be the third derivative of 5/12*p**4 + 0*p**6 - 1/42*p**7 + 28*p**2 + 0*p**3 + 1/4*p**5 + 0*p + 0. Determine a so that n(a) = 0.
-1, 0, 2
Let x = -3 - -7. Let f(o) = -77*o**3 + 120*o**2 - 23*o - 20. Let a(r) = -39*r**3 + 60*r**2 - 11*r - 10. Let g(s) = x*f(s) - 7*a(s). Find y such that g(y) = 0.
-2/7, 1
Let w(g) be the third derivative of -g**9/15120 + g**8/1260 - g**7/252 + g**6/90 + g**5/20 - 25*g**2. Let y(k) be the third derivative of w(k). Factor y(p).
-4*(p - 2)*(p - 1)**2
Let g = -25273/68 + 1489/4. Find l such that -2/17*l**4 - g*l + 6/17*l**2 + 4/17 + 2/17*l**3 = 0.
-2, 1
Suppose -6*a = -5 - 13. Let y(g) be the first derivative of -6*g**2 - 4 - 2*g - 5*g**4 - 2*g + 4*g**4 + 12*g**a - 4*g**4. Factor y(j).
-4*(j - 1)**2*(5*j + 1)
Let 0 + 0*i + 2/3*i**3 - 68/3*i**2 = 0. Calculate i.
0, 34
Let m(w) be the third derivative of -w**8/1344 + w**7/280 - w**5/60 - 5*w**2 - 4*w. Suppose m(u) = 0. Calculate u.
-1, 0, 2
Let y(w) be the first derivative of -w**6/12 - w**5/15 + 3*w**4/8 - w**2/3 + 117. Suppose y(m) = 0. Calculate m.
-2, -2/3, 0, 1
Suppose 94*y = 88*y + 24. Let k(l) be the second derivative of -7*l - 1/16*l**3 + 1/8*l**2 + 1/96*l**y + 0. Determine v, given that k(v) = 0.
1, 2
Suppose 0 = 3*i + 3*u - 9, 0 = -0*i + i - 2*u - 3. Find g, given that 119*g**i - 22*g - 40*g**2 - 9*g**4 + 20*g**5 + 2*g + 16*g**3 - 86*g**4 = 0.
-1/4, 0, 1, 2
Let h(f) = f**5 - f**4 - 8*f**3 + 4*f**2 + 5*f - 5. Let u(l) = l**4 + l**3 - l**2 + 1. Let k(a) = 2*h(a) + 4*u(a). Factor k(q).
2*(q - 1)**3*(q + 1)*(q + 3)
Factor 41 - 4*c**2 - 21 - 95*c + 79*c.
-4*(c - 1)*(c + 5)
Suppose 17*s = 13*s. Let b be ((-15)/35)/(3/(-6)). Determine v, given that s - 2/7*v**4 + b*v**2 - 4/7*v + 0*v**3 = 0.
-2, 0, 1
Let t(n) = -4*n**3 + n**2 + 7*n - 1. Let f(y) = -5*y**3 + 2*y**2 + 9*y - 2. Let p(k) = -3*f(k) + 4*t(k). Solve p(u) = 0 for u.
-2, -1, 1
Let z(x) be the second derivative of -3*x**8/2240 - x**7/210 + x**6/60 + 2*x**4 - 20*x. Let y(u) be the third derivative of z(u). Determine q so that y(q) = 0.
-2, 0, 2/3
Let r(u) = 5*u + 47. Let n be r(-10). Let f(c) = -4*c**3 + 48*c**2 - 28*c + 8. Let j(v) = -v**3 + 16*v**2 - 9*v + 3. Let l(b) = n*f(b) + 8*j(b). Factor l(g).
4*g*(g - 3)*(g - 1)
Let h(p) be the third derivative of 0 - 9*p**2 + 1/6*p**4 - 1/120*p**5 + 0*p - 4/3*p**3. What is k in h(k) = 0?
4
Let t be (-2)/4 - (-7)/3150. Let g = t - -18/25. Find w, given that 2/3*w**2 + 2/9 + 2/3*w + g*w**3 = 0.
-1
Let b(a) = 2*a**3 - a**2 + a + 1. Let n(r) = 8*r**3 - 54*r**2 + 222*r - 298. Let d(f) = -2*b(f) + n(f). Factor d(y).
4*(y - 5)**2*(y - 3)
Suppose -27 - 3 = -5*x - 2*q, -3*x = -2*q - 2. Let n(v) be the first derivative of 1/18*v**6 + 1/15*v**5 + 0*v - 1/9*v**3 + 0*v**2 - 1/12*v**x + 3. Factor n(h).
h**2*(h - 1)*(h + 1)**2/3
Let s be (-5)/35*321/(-27). Let k = s - 14/9. Determine p so that -k*p - 1/7*p**2 + 0 = 0.
-1, 0
Factor 312 + 5*h**2 + 169*h - 4*h**2 - 894 + 412.
(h - 1)*(h + 170)
Solve 0 + 8/7*k**2 - 2/7*k**4 + 2/7*k**3 - 8/7*k = 0.
-2, 0, 1, 2
Let i be (-9)/12*-6 - 80/32. Factor 1/2*u + 0 - 3/2*u**i + 0*u**3 + 2*u**4.
u*(u + 1)*(2*u - 1)**2/2
Let z(v) = 2*v**2 + 692*v. Let f(o) = -o**2 - 230*o. Let c(u) = 8*f(u) + 3*z(u). Factor c(h).
-2*h*(h - 118)
Let w(u) be the third derivative of u**5/180 + 5*u**4/36 + 8*u**3/9 - 6*u**2 + u. Factor w(f).
(f + 2)*(f + 8)/3
Let l be 2/((-42)/(-483)) + -21. Factor -1/6*n**l - 4/3 - n.
-(n + 2)*(n + 4)/6
Let k = 32/47 + 92/141. Let o(w) be the first derivative of -12*w - k*w**3 + 7 - 8*w**2. Find t, given that o(t)