d derivative of a**3 - 4/45*a**5 + 0*a + 0 - 15*a**2 + 4/45*a**6 - 5/12*a**4. What is s in p(s) = 0?
-1, 3/4
Let m(p) = 110*p + 993. Let g be m(-9). Suppose 2*o = 5*o + 4*x - 32, -1 = -4*o + 3*x. Factor 0 - 4/7*n**2 + 0*n + 4/7*n**o + 0*n**g.
4*n**2*(n - 1)*(n + 1)/7
Let n be (-1750)/(-350)*(0 + (-1)/(-15)). Solve -n*c**2 + 0*c + 1/6*c**4 - 1/6*c**3 + 0 = 0.
-1, 0, 2
Let l(q) be the third derivative of q**5/36 - 233*q**4/72 - 47*q**3/9 - 751*q**2. Let l(u) = 0. Calculate u.
-2/5, 47
Let x(t) be the third derivative of -t**7/70 - t**6/8 + 3*t**5/10 + 47*t**2. Factor x(o).
-3*o**2*(o - 1)*(o + 6)
Let w(k) be the first derivative of -k**3 + 9*k**2/2 - 18. Let l(u) = 11*u**2 - 36*u + 1. Let c(o) = 2*l(o) + 9*w(o). Solve c(z) = 0.
-1/5, 2
Let z(a) = -a**2 - 43*a - 432. Let y be z(-27). Factor -3/2*v**2 + 1/6*v**5 - 7/6*v**4 + 5/2*v**3 + y + 0*v.
v**2*(v - 3)**2*(v - 1)/6
Let i(v) = -40*v**5 + 545*v**4 - 1895*v**3 + 1415*v**2. Let b(j) = 5*j**5 - 68*j**4 + 237*j**3 - 177*j**2. Let g(u) = -25*b(u) - 3*i(u). Factor g(y).
-5*y**2*(y - 6)**2*(y - 1)
Let d(a) be the first derivative of a**6/6 + 2*a**5 + 39*a**4/4 + 74*a**3/3 + 34*a**2 + 24*a + 13. Suppose d(g) = 0. What is g?
-3, -2, -1
Solve 6*s**4 - 7*s**3 + 8*s**5 + 2*s**2 - 8*s**2 + 2*s + 9*s**3 - 12*s**3 = 0 for s.
-1, 0, 1/4, 1
Let g(h) be the first derivative of -10*h**3 + 33*h**2/2 + 18*h - 58. Factor g(n).
-3*(2*n - 3)*(5*n + 2)
Let o be 4960/372*(2 - 256/140). What is n in o*n - 1/7*n**2 - 64/7 = 0?
8
Let s(l) be the third derivative of -2*l**6/45 - 2*l**5/15 - l**4/6 + 5*l**3/2 - 16*l**2. Let j(o) be the first derivative of s(o). Factor j(h).
-4*(2*h + 1)**2
Let k(u) = -u**3 + 2*u**2 + u + 3. Let p be k(2). Factor 8*f + 15*f - p*f**2 + 2*f - 15 - 5*f**3.
-5*(f - 1)**2*(f + 3)
Let r = 140 + -137. Factor -12*k**3 - 5*k**5 - 15*k**3 + 17*k**4 + r*k**4 + 12*k**3.
-5*k**3*(k - 3)*(k - 1)
Factor 0 - 6/7*u + 2/7*u**2.
2*u*(u - 3)/7
Let h(x) be the third derivative of 0*x + 15/8*x**4 - 1/4*x**5 - 1/24*x**6 - 25/6*x**3 + 0 + 33*x**2. Suppose h(j) = 0. What is j?
-5, 1
Suppose -5*a + 0*x + 2*x + 2 = 0, 2*x - 18 = -5*a. What is n in 45*n**3 - 61*n**3 - 5*n**4 + 4*n**5 + 32*n**a - 3*n**4 = 0?
-2, 0, 2
Let i(u) = -3 + 4*u**4 - 2*u - 26*u**2 + 2*u**3 + 55*u**2 - 27*u**2. Let x(b) = 9*b**4 + 5*b**3 + 5*b**2 - 5*b - 7. Let o(v) = 7*i(v) - 3*x(v). Factor o(g).
g*(g - 1)**2*(g + 1)
Suppose 0*d + 1/5*d**4 - 12/5*d**3 + 0 + 4*d**2 = 0. What is d?
0, 2, 10
Find d, given that 84*d + 16/3*d**2 + 62/3 = 0.
-31/2, -1/4
Suppose -p = 4*p - 10. Let w = 4 - 0. Factor p*h - h**2 + w*h**2 + h.
3*h*(h + 1)
Let m(x) be the third derivative of -1/24*x**6 - 1/210*x**7 + 21*x**2 - 1/6*x**4 - 2/15*x**5 + 0 + 0*x**3 + 0*x. Factor m(n).
-n*(n + 1)*(n + 2)**2
Let z = -2825852/7 + 402838. Let j = 860 + z. Factor -10/7*n**2 - 12/7 - j*n.
-2*(n + 3)*(5*n + 2)/7
Let -72 - 2*g**3 + 41*g - 39*g - 26*g**2 - 98*g = 0. Calculate g.
-6, -1
Factor 7/2*b**3 + 0 + 11*b + 79/2*b**2.
b*(b + 11)*(7*b + 2)/2
Factor 0 + 2/17*m**2 + 2/17*m.
2*m*(m + 1)/17
Let j(p) be the third derivative of -p**8/112 + 6*p**7/35 - 19*p**6/40 - 3*p**5/5 + 5*p**4/2 + 464*p**2. Find f such that j(f) = 0.
-1, 0, 1, 2, 10
Let i(r) be the first derivative of 17*r**5/30 + 16*r**4/9 + 13*r**3/9 - 2*r**2/3 + r + 8. Let v(z) be the first derivative of i(z). Factor v(h).
2*(h + 1)**2*(17*h - 2)/3
Let k = 1/13433 - -26853/174629. Factor 10/13*l**3 + 0 + k*l**2 + 0*l.
2*l**2*(5*l + 1)/13
Let s(q) be the second derivative of 0 + 1/14*q**5 - 1/6*q**4 + 0*q**2 + 8*q - 1/105*q**6 + 1/7*q**3. Find z such that s(z) = 0.
0, 1, 3
Suppose 0*u - 4*u - 2 = -2*p, -4*u - 5*p - 9 = 0. Let w(z) = -5*z. Let h be w(u). Factor 2*l**h - 25*l**3 + 2*l**4 - 28*l**3 - 3*l**5 + 52*l**3.
-l**3*(l - 1)**2
Factor 0 + 8/9*m**3 - 2/9*m**4 + 4/3*m + 22/9*m**2.
-2*m*(m - 6)*(m + 1)**2/9
Let z(x) be the first derivative of x**6/30 - 2*x**5/15 + x**4/6 - 6*x**2 + 12. Let r(h) be the second derivative of z(h). Factor r(k).
4*k*(k - 1)**2
Let m = 31 + -32. Let b(c) = 3*c**2 - 9*c - 7. Let p(d) = -d**2 + d + 1. Let o(g) = m*b(g) - 5*p(g). Find r, given that o(r) = 0.
-1
Let b(c) be the first derivative of -c**4/36 + 4*c**3/27 + c**2/18 - 4*c/9 + 2. What is m in b(m) = 0?
-1, 1, 4
Let m(j) be the first derivative of 2*j**5/5 - 5*j**4/2 + 4*j**3 - 76. Find r such that m(r) = 0.
0, 2, 3
Let o = -1072 - -1072. Let x(v) = -v**2 - 7*v - 6. Let b be x(-6). Determine f so that 2/7*f**3 + 2/7*f**2 + o*f + b = 0.
-1, 0
Let x(u) be the third derivative of 4/3*u**3 + 1/15*u**5 - u**2 + 0*u - 1/2*u**4 + 0. Factor x(g).
4*(g - 2)*(g - 1)
Find f such that 1/2*f**3 - f - 1/2*f**2 + 0 = 0.
-1, 0, 2
Determine w so that 4*w**2 - 48 + w**4 + w**4 + 47*w - 103*w + 14*w**3 = 0.
-6, -2, -1, 2
Let r(f) be the second derivative of -f**5/20 + f**4/4 + f**3/6 - 3*f**2/2 - 36*f. Factor r(w).
-(w - 3)*(w - 1)*(w + 1)
Let l(q) = -3*q**2 - 36*q - 85. Let k(p) = 4*p**2 + 36*p + 86. Let d(x) = -5*k(x) - 6*l(x). Factor d(f).
-2*(f - 20)*(f + 2)
Let h(l) be the first derivative of -l**4/8 - 187*l**3/12 - 1081*l**2/2 + 2209*l/4 - 326. Suppose h(f) = 0. What is f?
-47, 1/2
Let q be ((-414)/102 + 4)/(1/29). Let s = 449/34 + q. Factor s*r**2 + 8*r + 7*r**3 + 2 + 3/2*r**4.
(r + 1)**2*(r + 2)*(3*r + 2)/2
Let -11/2 - 23/2*r - 13/2*r**2 - 1/2*r**3 = 0. Calculate r.
-11, -1
Let r(b) be the second derivative of b**6/270 + b**5/60 - b**4/36 - 11*b**3/54 - b**2/3 - 48*b. Factor r(j).
(j - 2)*(j + 1)**2*(j + 3)/9
Let l(m) = -2*m**3 + 22*m**2 + 18*m. Let u(p) = -p**3 + p**2 + p. Suppose z = 15 - 9. Let x(a) = z*u(a) - l(a). Find i, given that x(i) = 0.
-3, -1, 0
Let j(b) = 2*b**4 + b**3 + 3*b**2 - 3. Let o(u) = -4*u**4 - 3*u**3 - 5*u**2 + 5. Let c = 51 + -54. Let y(s) = c*o(s) - 5*j(s). Suppose y(t) = 0. What is t?
-2, 0
Factor -24/5 - 14/5*g - 2/5*g**2.
-2*(g + 3)*(g + 4)/5
Let q(p) = 2*p + 8. Let r be q(-3). Factor -36*k + 36*k**3 - 3*k**2 - 8*k**r + 3*k**2 + 8.
4*(k - 1)*(k + 1)*(9*k - 2)
Let v be 5/(-30) - 103*(-2)/84. Determine c so that v + 0*c - 4/7*c**2 = 0.
-2, 2
Factor 553*a**2 - 577*a**2 - 2*a + 400 + 4*a**3 - 58*a.
4*(a - 5)**2*(a + 4)
Let r(d) be the third derivative of -2*d**7/105 + d**6/2 - 21*d**5/5 + 49*d**4/6 - 3*d**2 - 11*d. Factor r(i).
-4*i*(i - 7)**2*(i - 1)
Let c(j) = 2*j + 32. Let w be c(-15). Let x(h) be the second derivative of -5*h + 0 - 4*h**w - 1/24*h**4 + 2/3*h**3. Factor x(p).
-(p - 4)**2/2
Suppose -18/5*d + 18/5 - 2/5*d**2 + 2/5*d**3 = 0. What is d?
-3, 1, 3
Let r be ((-60)/400)/((-3)/5) - 0. Factor -r*l + 1/2 - 1/4*l**2.
-(l - 1)*(l + 2)/4
Suppose 0 = -4*u + 1 + 7. Suppose 4*r - u = 18. Suppose -4/9*z**2 + 2/3*z**4 - 2/9*z**r + 2/3*z - 4/9*z**3 - 2/9 = 0. Calculate z.
-1, 1
Solve 18*s - s**2 + 8*s**3 + 3*s**4 - 2*s**2 - 4*s**3 - 6*s**3 - 16*s**3 = 0.
-1, 0, 1, 6
Let f(s) be the third derivative of s**10/6048 + s**9/1008 + s**8/448 + s**7/504 - 2*s**4 - 44*s**2. Let b(c) be the second derivative of f(c). Factor b(u).
5*u**2*(u + 1)**3
Let s(l) = 3*l**3 - 5*l**2 + 2*l + 2. Let y be s(2). Factor 2*t**2 + 6 - 20*t + 2*t**2 + y.
4*(t - 4)*(t - 1)
Let a(r) be the third derivative of -r**8/336 - r**7/70 - r**6/120 + r**5/20 + r**4/12 - 139*r**2 - 2. Factor a(t).
-t*(t - 1)*(t + 1)**2*(t + 2)
Let u(q) be the third derivative of q**7/1260 - q**5/40 - q**4/36 + q**3/3 + 18*q**2 + 14. Factor u(a).
(a - 3)*(a - 1)*(a + 2)**2/6
Let q(p) be the second derivative of p**6/6 + 5*p**5/4 + 35*p**4/12 + 5*p**3/2 + 66*p. Determine t, given that q(t) = 0.
-3, -1, 0
Let -9*p - 10*p - 20*p**2 + 35*p**2 - 16*p**2 = 0. What is p?
-19, 0
Factor 3/4*c**4 + 65340*c + 397/4*c**3 + 4389*c**2 + 21296.
(c + 44)**3*(3*c + 1)/4
Let t(f) be the first derivative of 3/110*f**5 - 3*f + 0*f**2 - 1/33*f**4 + 13 - 1/165*f**6 + 0*f**3. Let m(x) be the first derivative of t(x). Factor m(g).
-2*g**2*(g - 2)*(g - 1)/11
Suppose -11*s - 3 = -12*s. Let a(d) be the first derivative of -2 + 0*d + 1/12*d**s - 1/8*d**4 - 1/20*d**5 + 1/4*d**2. Let a(y) = 0. Calculate y.
-2, -1, 0, 1
Let h(n) be the third derivative of 0*n**3 + 0*n**6 + 1/1995*n**7 + 0*n**4 - 1/570*n**5 + 0*n + 0 - 9*n**2. Find c such that h(c) = 0.
-1, 0, 1
Solve p - 3/4*p**3 + 0*p**2 + 0 - 1/4*p**4 = 0.
-2, 0, 1
Suppose 4*v + 0*l + 10 = 5*l, -4*v - 6 = -3*l. Suppose v = -71*y + 62*y + 18. Factor 3/2 - y*p + 1/2