ivative of r(c). Factor i(h).
-h*(h - 3)*(h - 1)*(h + 1)/2
Let y be 12 + 1 + 2479/(-201). What is q in -y*q + 2/3*q**2 - 2/3 + 2/3*q**3 = 0?
-1, 1
Let y(v) be the first derivative of v**7/84 + 7*v**6/72 + 7*v**5/24 + 5*v**4/12 + 23*v**3/3 - 6. Let i(t) be the third derivative of y(t). Factor i(c).
5*(c + 1)*(c + 2)*(2*c + 1)
Let n be 48/(-20) + (-164)/(-35). What is c in -16/7 + 4/7*c**4 + n*c - 16/7*c**3 + 12/7*c**2 = 0?
-1, 1, 2
Let j(s) be the second derivative of -s**4/32 - 7*s**3/16 - 208*s. Suppose j(w) = 0. What is w?
-7, 0
Let y(j) be the second derivative of 1/3*j**3 - 1/8*j**4 + 0 - 5/2*j**2 + 1/120*j**6 + 0*j**5 + j. Let d(a) be the first derivative of y(a). Factor d(g).
(g - 1)**2*(g + 2)
Let c(d) be the first derivative of d**6/72 + d**5/24 + 28*d**3/3 - 22. Let l(y) be the third derivative of c(y). Factor l(o).
5*o*(o + 1)
Find x, given that 0 + 5/7*x - 6/7*x**2 + 1/7*x**3 = 0.
0, 1, 5
Let c(w) be the first derivative of -w**6/18 + 2*w**5/15 - 2*w**3/9 + w**2/6 + 49. Find q such that c(q) = 0.
-1, 0, 1
Let x(q) be the first derivative of 0*q - 3/8*q**2 + 3/16*q**4 - 12 + 0*q**3. Factor x(g).
3*g*(g - 1)*(g + 1)/4
What is c in -82*c**2 - 9*c**4 + 36*c + 152*c**2 - 39*c**3 - 94*c**2 = 0?
-3, -2, 0, 2/3
Let q = 638 + -638. Let f(v) be the second derivative of q*v**3 - 8*v + 0 + 1/18*v**4 - 1/3*v**2. Suppose f(r) = 0. Calculate r.
-1, 1
Let h(d) be the first derivative of -d**3/4 - 27*d**2/8 - 6*d + 16. Factor h(q).
-3*(q + 1)*(q + 8)/4
Let p be (-117)/(-63) - 2/(-14). Factor -8 - 3*q**2 - 8*q**p - 18*q - 19 + 8*q**2.
-3*(q + 3)**2
Let c(w) = 4*w**2 + 13*w + 9. Let y(u) = u**2 + u - 1. Let o(d) = -c(d) + 3*y(d). Let p be o(-8). Factor -3 + 6 - 6*a**2 + 3*a**p + 0*a**2.
3*(a - 1)**2*(a + 1)**2
Let q(g) be the third derivative of g**5/120 - g**4/48 + g**2 - 1. Factor q(i).
i*(i - 1)/2
Let u be ((-30)/(-25))/(-3) + (-204)/(-60). Let b(t) be the second derivative of 16*t**2 + 2*t**4 - 8*t**u - 1/5*t**5 + 0 + 11*t. Factor b(x).
-4*(x - 2)**3
Solve 9/2*f**3 + 3*f**2 - 3/4*f**5 - 3/4*f**4 + 0 - 6*f = 0.
-2, 0, 1, 2
Let w(p) be the second derivative of -p**5/5 - 11*p**4/3 + 112*p**3/3 - 120*p**2 - 619*p. Let w(c) = 0. What is c?
-15, 2
Let h be 50/22 + 1383/(-5071). Find y, given that 0 - 6/13*y**h + 4/13*y + 2/13*y**4 + 0*y**3 = 0.
-2, 0, 1
Let i(w) be the second derivative of w**6/20 + w**5/60 - 3*w**4/8 - 2*w**3/3 - w**2/3 - 171*w. Factor i(n).
(n - 2)*(n + 1)**2*(9*n + 2)/6
Let s be (-4 + (-42)/(-9))*198. Solve 128 + 4*p**2 + 4*p - 4*p - s = 0.
-1, 1
Let v(f) be the first derivative of -f**5/35 - 2*f**4/7 + 4*f**3/21 + 16*f**2/7 - 347. Determine r so that v(r) = 0.
-8, -2, 0, 2
Let k(f) = -36*f**4 + 38*f**3 + 3*f**2 - 2*f - 3. Let s(i) = -i**3 + 1. Let g(n) = 2*k(n) + 6*s(n). Determine v so that g(v) = 0.
-1/4, 0, 2/9, 1
Let z(c) be the third derivative of c**5/600 + c**4/40 + 2*c**3/15 - 5*c**2. What is p in z(p) = 0?
-4, -2
Determine s, given that -1192 + 60*s + 2444 - 1152 + 5*s**2 = 0.
-10, -2
Let o(i) = -14*i - 12. Let r be o(-1). Let q(y) be the first derivative of 6/35*y**5 + 0*y + 1/14*y**4 - 4/21*y**3 + 0*y**2 + r. Factor q(h).
2*h**2*(h + 1)*(3*h - 2)/7
Let u(c) be the first derivative of -c**3/4 + 27*c**2/4 - 243*c/4 - 104. Determine m, given that u(m) = 0.
9
Let z(c) = c**5 - 9*c**4 + 28*c**3 - 16*c**2 + 4*c - 4. Let i(h) = 3*h**5 - 27*h**4 + 83*h**3 - 48*h**2 + 11*h - 11. Let d(m) = 4*i(m) - 11*z(m). Factor d(g).
g**2*(g - 4)**2*(g - 1)
Suppose 534*i + 56 + i**2 - 1103*i + 539*i = 0. What is i?
2, 28
Let l(n) be the second derivative of n**4/8 + 19*n**3/2 + 1083*n**2/4 - 3*n - 20. Factor l(r).
3*(r + 19)**2/2
Let d(p) be the first derivative of p**3 - 3*p - 252. Let d(i) = 0. Calculate i.
-1, 1
Let i(t) = 5*t**3 - 3*t**2 + 2*t. Let x(a) = -10*a**3 + 5*a**2 - 5*a. Let h(y) = 5*i(y) + 2*x(y). Factor h(r).
5*r**2*(r - 1)
Let a(r) be the first derivative of -2*r**3/15 - 42*r**2/5 - 882*r/5 - 22. Factor a(o).
-2*(o + 21)**2/5
Factor 3/2 - 23/4*u + 7/4*u**2.
(u - 3)*(7*u - 2)/4
Let o(k) be the second derivative of -1/10*k**5 + 0 - 1/3*k**4 - 2*k + 0*k**2 - 1/3*k**3. Determine h so that o(h) = 0.
-1, 0
Let b(r) be the second derivative of 1/120*r**6 + 0*r**5 - 1/8*r**4 + 0 + 5*r - 2*r**2 + 1/3*r**3. Let f(j) be the first derivative of b(j). Factor f(n).
(n - 1)**2*(n + 2)
Let r = 36 + -37. Let q(x) = -x**4 + x**2. Let z(w) = -8*w**4 - 19*w**3 + 3*w. Let c(k) = r*z(k) + 2*q(k). Factor c(y).
y*(y + 3)*(2*y + 1)*(3*y - 1)
Factor 29*b**3 + 7*b**5 - 14*b - 16*b**2 + 28*b**4 - 12*b**4 - 17*b**3 - 3*b**5 - 2*b.
4*b*(b - 1)*(b + 1)*(b + 2)**2
Let f(p) be the first derivative of -p**3/9 - 7*p**2/6 - 4*p - 138. Factor f(l).
-(l + 3)*(l + 4)/3
Let v(p) be the first derivative of -p**7/2520 + p**6/270 + 3*p**3 - 27. Let l(o) be the third derivative of v(o). Suppose l(w) = 0. Calculate w.
0, 4
Let k(u) be the first derivative of 2*u**3/27 - 13*u**2/9 - 405. Factor k(s).
2*s*(s - 13)/9
Let m(d) = -2*d**2 - 59*d + 52. Let h be m(-30). Let q(v) = -2*v + 48. Let s be q(h). Determine g so that 0*g**3 + 3/8*g**2 + 0 + 1/4*g - 1/8*g**s = 0.
-1, 0, 2
Let j(f) = -8*f**3 + 96*f**2 + 476*f + 602. Let t(q) = 3*q**3 - 32*q**2 - 159*q - 201. Let h(p) = 5*j(p) + 14*t(p). Find g such that h(g) = 0.
-7, -2
Suppose 2*x = -2*t + 7*x + 18, 21 = -5*t - 4*x. Let u = t + 23. Find f, given that f**5 - u*f**3 - 4*f**5 + 7*f**3 - 12*f**4 - 6*f**2 = 0.
-2, -1, 0
Let 2/7*b**2 + 12*b + 126 = 0. Calculate b.
-21
Let y(t) be the first derivative of 0*t - 1/3*t**3 + 0*t**2 + 16. Factor y(x).
-x**2
Suppose -201 = 7*k + 639. Let x = -116 - k. Solve 2/13*c + 2/13*c**x + 0 - 2/13*c**3 - 2/13*c**2 = 0.
-1, 0, 1
Let l(p) = 2*p + 2. Let g be l(-5). Let s be 10/g - 21/(-14). Factor 0 + 0*z + s*z**2 + 1/4*z**4 - 1/2*z**3.
z**2*(z - 1)**2/4
Let m(c) = c**2 + 14*c - 6. Let a be m(-14). Let w(x) = 5*x**2 - 9*x - 8. Let h(q) = -16*q**2 + 28*q + 24. Let p(r) = a*h(r) - 20*w(r). Factor p(z).
-4*(z - 4)*(z + 1)
Suppose -23 + 23 + 0*w**3 + 28*w**3 - 2*w**4 - 4*w**3 = 0. Calculate w.
0, 12
Suppose -10/3*a**3 + 0*a**2 + 0*a**4 + 2/3*a**5 + 0 + 8/3*a = 0. Calculate a.
-2, -1, 0, 1, 2
Let v(t) be the first derivative of 0*t - 1/15*t**2 - 13 + 2/45*t**3. Factor v(x).
2*x*(x - 1)/15
Let y(x) = x - 13. Let v be y(12). Let w = v + 4. Suppose 2*u**2 - 5*u**2 + 2*u**3 + 3*u**4 - 4*u**3 + 3*u**5 - u**w = 0. What is u?
-1, 0, 1
Let a(m) be the first derivative of 3/4*m**4 + 0*m**5 - 13 + 0*m - 1/12*m**6 + 3/4*m**2 - 4/3*m**3. Let a(c) = 0. Calculate c.
-3, 0, 1
Let j = 22 + -25. Let s be 4/j + 80/24. Factor -2*m**4 + 35*m - 2*m**s + 4*m**3 - 35*m.
-2*m**2*(m - 1)**2
Let r(y) be the third derivative of y**8/960 - 23*y**7/3360 - 11*y**6/720 + y**5/60 + 7*y**3/3 + 34*y**2. Let o(b) be the first derivative of r(b). Factor o(j).
j*(j - 4)*(j + 1)*(7*j - 2)/4
Suppose -5*c - 5*y + 25 = 0, 2*y + 8 = -2*y. Suppose 3 = -c*j + 3. Determine o, given that 0*o - 5/2*o**3 + j + 2*o**4 + 1/2*o**2 = 0.
0, 1/4, 1
Suppose -79*l - 112 = -83*l. Let b be (l/20)/7 + 0. Factor 0*v**3 + 0*v - 1/5 - b*v**4 + 2/5*v**2.
-(v - 1)**2*(v + 1)**2/5
Let w be (-5)/(-10) + (-10)/(-4). Let v be (-6)/27 - 429/(-108) - w. Factor 3/4*r + 0 + v*r**2.
3*r*(r + 1)/4
Let z be 4/(0 + 2) - 0. Factor -16*h + 4 + 4 + 10*h**z - 8*h.
2*(h - 2)*(5*h - 2)
Let m = 33490 + -167448/5. Determine d so that -m*d**3 - 1/5 + 0*d**2 + 1/5*d**4 + 2/5*d = 0.
-1, 1
Let g(j) be the first derivative of 249*j**4/28 + 165*j**3/7 + 243*j**2/14 - 3*j/7 + 337. Solve g(u) = 0 for u.
-1, 1/83
Suppose 111*g - 175*g + 115*g = 255. Factor -1/6*w**g - 1/2*w + 1/3*w**2 - 1/3 + 0*w**4 + 2/3*w**3.
-(w - 2)*(w - 1)*(w + 1)**3/6
Let w(c) be the second derivative of -c**7/98 + 11*c**6/70 - 117*c**5/140 + 61*c**4/28 - 22*c**3/7 + 18*c**2/7 - c - 41. Determine d so that w(d) = 0.
1, 2, 6
Let q(p) be the third derivative of -5*p**8/1008 + p**7/126 + 13*p**6/72 - p**5/36 - 5*p**4/6 - p**2 - 4. Let q(r) = 0. What is r?
-3, -1, 0, 1, 4
Factor -3800/7*q**2 + 2/7*q**5 - 340/7*q**3 + 8/7*q**4 - 14750/7*q - 20000/7.
2*(q - 16)*(q + 5)**4/7
Determine h, given that -24*h**3 - 47*h**2 + 93*h**2 + 2*h**4 - 72 + 24*h**2 + 24*h = 0.
-1, 1, 6
Let z(w) be the third derivative of w**6/3600 + w**5/400 + w**4/120 - 4*w**3/3 - w**2. Let u(q) be the first derivative of z(q). Suppose u(b) = 0. What is b