 Let d(z) be the third derivative of 0 + 0*z - z**2 - 1/40*z**5 + 0*z**3 - l*z**6 + 0*z**4. What is o in d(o) = 0?
-1, 0
Let z(f) be the third derivative of -4*f**7/315 + 11*f**6/180 + 13*f**5/60 + 5*f**4/72 - 2*f**3/9 - 534*f**2. Find x, given that z(x) = 0.
-1, -1/2, 1/4, 4
Let -297/8*z - 15/8*z**3 - 171/8*z**2 + 3/8*z**4 + 0 = 0. What is z?
-3, 0, 11
Factor 15*g**2 - 9*g + 8*g - 17*g**2 + 11*g.
-2*g*(g - 5)
Suppose -r - 2*r = -5*z - 7, 10 = 3*r - 2*z. Let -2/7*w**3 - 2/7*w**5 + 0*w**2 + 4/7*w**r + 0*w + 0 = 0. Calculate w.
0, 1
Suppose -4*j - 3*j + 35 = 0. Suppose -5*m - 5*t = 10, 2*t + t = -j*m. Suppose 0 + 2/5*d**m + 0*d - 2/5*d**2 = 0. What is d?
0, 1
Let k(m) be the first derivative of -169*m**3/18 + 143*m**2/6 - 121*m/6 - 276. What is t in k(t) = 0?
11/13
Let n(p) = 3 + p**2 - 1 + p - 2. Let o(l) = -6 + 6*l**2 + l + l**2 + 4 - 4*l**2. Let m(d) = -5*n(d) + o(d). Suppose m(h) = 0. Calculate h.
-1
Let i(n) be the first derivative of n**6/45 - 2*n**5/75 - n**4/15 + 4*n**3/45 + n**2/15 - 2*n/15 + 8. Factor i(k).
2*(k - 1)**3*(k + 1)**2/15
Let 1/3*g**2 + 0 - 226/3*g = 0. Calculate g.
0, 226
Determine b, given that -4*b + 8/5 + 4/5*b**5 - 16/5*b**4 + 16/5*b**3 + 8/5*b**2 = 0.
-1, 1, 2
Factor i**2 - 1/3*i**4 - 20/3 - 28/3*i + 10/3*i**3.
-(i - 10)*(i - 2)*(i + 1)**2/3
Factor -216 - 24*s - 2/3*s**2.
-2*(s + 18)**2/3
Factor -4*w - 28*w**2 + 220 + 23*w**2 - 59*w - 37*w.
-5*(w - 2)*(w + 22)
Let z(p) be the third derivative of p**8/16 + 27*p**7/35 + 29*p**6/8 + 15*p**5/2 + 7*p**4/2 - 12*p**3 + 321*p**2. What is r in z(r) = 0?
-3, -2, -1, 2/7
Let l = 72/79 + -209/316. Factor l*k**3 + 1/2*k**2 + 0 + 0*k - 1/4*k**4.
-k**2*(k - 2)*(k + 1)/4
Let t(g) be the second derivative of -3/170*g**5 + g + 0*g**3 + 0*g**2 - 1/255*g**6 - 21 + 0*g**4. Factor t(n).
-2*n**3*(n + 3)/17
Let g(l) be the first derivative of l**3/6 - 265*l**2/16 + 33*l/4 - 610. Find o, given that g(o) = 0.
1/4, 66
Let f = -111 + 4333/39. Let r = f + 22/39. Find c, given that 4/9*c + r*c**2 + 2/9*c**3 + 0 = 0.
-2, -1, 0
Let f be -1 + 1 + (4 - 42/6). Let z be ((-2)/5)/(2/f). Determine r so that -3/5*r**3 - z + 3/5*r + 3/5*r**2 = 0.
-1, 1
Let d(b) = 17*b**3 + 361*b**2 + 73*b. Let j(l) = -2*l**3 + 2*l**2 - l. Let w(m) = d(m) + j(m). Factor w(z).
3*z*(z + 24)*(5*z + 1)
Let z(b) be the third derivative of b**8/1176 - 8*b**7/245 + 199*b**6/420 - 104*b**5/35 + 16*b**4/3 + 249*b**2. What is w in z(w) = 0?
0, 1, 7, 8
Let k(s) = 30*s + 12. Let m be k(-17). Let y be m/(-90) + ((-4)/(-5) - 1). Let 8/3 - y*w + 2*w**2 = 0. Calculate w.
2/3, 2
Let o(u) be the second derivative of u**4/3 + 4*u**3/3 - 16*u**2 - 18*u - 3. Factor o(b).
4*(b - 2)*(b + 4)
Suppose -36*m + 322/9 + 2/9*m**2 = 0. Calculate m.
1, 161
Let b be 608/(-104) + 6 - (-4)/(-26). Find c such that 2/11*c**2 + 6/11*c + b = 0.
-3, 0
Let o(q) be the second derivative of -3*q**5/4 + 55*q**4/12 - 5*q**3 + 3*q + 5. Find j, given that o(j) = 0.
0, 2/3, 3
Let z(b) be the first derivative of b**4/5 + 4*b**3/15 - 4*b**2 + 32*b/5 - 109. Factor z(s).
4*(s - 2)*(s - 1)*(s + 4)/5
Let d(j) be the second derivative of -1/6*j**4 + 4/3*j**2 + 0 + 19*j + 0*j**3 + 1/30*j**5. Factor d(r).
2*(r - 2)**2*(r + 1)/3
Suppose 33*q + 30*q + 0*q**2 + 3*q**2 + 69 - 9 = 0. Calculate q.
-20, -1
Let s(u) be the first derivative of -2*u**3/15 + 2*u**2/5 + 6*u/5 - 40. Find r, given that s(r) = 0.
-1, 3
Solve 64/7 + 16*b + 2/7*b**4 + 72/7*b**2 + 20/7*b**3 = 0 for b.
-4, -2
Let m(z) = -2*z**2 + 492*z + 14394. Let g(a) = -a**2 + 490*a + 14395. Let u(r) = -6*g(r) + 5*m(r). Find y such that u(y) = 0.
-60
Let v(u) be the third derivative of u**5/150 + u**4/15 + u**3/5 + 37*u**2. Factor v(a).
2*(a + 1)*(a + 3)/5
Let z(k) be the third derivative of -k**5/12 + 25*k**4/8 + 40*k**3/3 + 63*k**2. Suppose z(p) = 0. What is p?
-1, 16
Suppose 4*k - 19 = 3*s - 2*s, 0 = -2*k + 2*s + 14. Suppose n + 3*d + k = -0*d, -2*n + d + 6 = 0. Factor -3*w**n + w**2 + 0*w**2.
-2*w**2
Let w(g) be the third derivative of -g**8/224 - g**7/70 + g**6/10 + 9*g**5/20 + 9*g**4/16 - g**2 - 74*g. Let w(h) = 0. Calculate h.
-3, -1, 0, 3
Let z(w) = 38*w**2 - 776*w - 37630. Let u(x) = 7*x**2 + 1. Let j(f) = 6*u(f) - z(f). Factor j(m).
4*(m + 97)**2
Let g be (85/(-15) + 5)*-15. Let i be 9/105*4 - g/50. Factor 0*n**4 + i*n**5 + 0*n**2 + 0 - 1/7*n**3 + 0*n.
n**3*(n - 1)*(n + 1)/7
Let s(i) = -11*i**2 - 23*i - 17. Let x(q) = 9*q**2 + 21*q + 16. Let b(d) = -4*s(d) - 5*x(d). Let h be b(-12). Suppose -2/7*p**2 + 4/7*p + h = 0. Calculate p.
0, 2
Let o be (-5 - -2) + 2 + 11. Let a be 2 - (-1)/(2/o). Suppose 6*q**4 - a*q**3 + 13*q**3 - 3*q**5 - 9*q**3 = 0. Calculate q.
0, 1
Let i(b) = b**2 + 12*b + 5. Suppose 32*j - 34*j = 48. Let u(d) = 4*d**2 + 60*d + 24. Let h(o) = j*i(o) + 5*u(o). Factor h(s).
-4*s*(s - 3)
Suppose -355*h**3 - 23*h**4 - 3*h**4 - 14*h**2 + 6*h + 309*h**3 = 0. What is h?
-1, 0, 3/13
Let f(m) be the third derivative of -m**6/150 + 3*m**5/25 - 4*m**4/5 + 32*m**3/15 + 3*m**2 - 5*m. Solve f(z) = 0.
1, 4
Let u(k) be the third derivative of -k**7/70 + 9*k**6/40 + k**5/20 - 9*k**4/8 - 234*k**2 - k. Find y, given that u(y) = 0.
-1, 0, 1, 9
Let z(i) be the second derivative of 10*i**2 + 0 + 0*i**3 - 47*i - 5/12*i**4. Factor z(f).
-5*(f - 2)*(f + 2)
Let u(p) = -8*p**2 + 17*p - 15. Let v(d) = 9*d**2 - 16*d + 15. Let g = 69 - 66. Let m(n) = g*v(n) + 4*u(n). Solve m(x) = 0.
1, 3
Factor 268/5*o**2 + 84/5 + 12/5*o**3 + 68*o.
4*(o + 1)*(o + 21)*(3*o + 1)/5
Suppose -k = 2*a - 6*a + 11, 0 = k - 1. Suppose 0 = y - 4*y + a*w, -4*y - w = -15. Factor 3*l**2 - 3*l**5 - 9*l**2 - 2*l**4 + y*l + 8*l**4.
-3*l*(l - 1)**3*(l + 1)
Let u(q) = -2*q**2 - 54*q - 258. Let l(j) = -j**2 - 49*j - 259. Let c(n) = -2*l(n) + 3*u(n). Factor c(a).
-4*(a + 8)**2
Let g(a) be the third derivative of 5*a**8/336 - 41*a**7/14 + 121*a**6/24 + 41*a**5/4 - 305*a**4/12 - 763*a**2. Let g(d) = 0. Calculate d.
-1, 0, 1, 122
Determine f, given that 3*f**3 + 0 + 0*f + 12/5*f**2 + 3/5*f**4 = 0.
-4, -1, 0
Factor -24*d**3 - 4*d + 6*d**2 - 18*d**4 + 16 + 31*d - 3*d**5 - 4.
-3*(d - 1)*(d + 1)**3*(d + 4)
Let q(t) be the first derivative of -t**3/3 + 11*t**2/2 - 19*t - 11. Let z be q(8). Factor -z*x**3 + 5*x**4 - 5*x**2 + 10*x + 4*x**3 - 9*x**3 + 0*x.
5*x*(x - 2)*(x - 1)*(x + 1)
Let g(l) = l**2 - 2*l - 13. Let d be g(5). Let p = 5 - d. Factor 12*h**4 + h**2 + p*h**2 - 83*h**5 + 12*h**3 + 87*h**5.
4*h**2*(h + 1)**3
Factor 1/3*y**3 + 34*y + 0 + 103/3*y**2.
y*(y + 1)*(y + 102)/3
Let g be (-115)/(-25) - 20/(-50). Suppose 11*a - 2*a - g*a = 0. Let 0*q**4 + 0*q + 1/3*q**3 + 0 - 1/3*q**5 + a*q**2 = 0. Calculate q.
-1, 0, 1
Suppose -27*s + 25*s = -20. Factor s*k**5 - 16*k**2 - 452*k**4 - 295*k**4 + 175*k**4 + 232*k**5 + 184*k**3.
2*k**2*(k - 2)*(11*k - 2)**2
Let x(v) be the first derivative of v**7/84 - v**6/60 - v**5/40 + v**4/24 - 5*v + 14. Let f(b) be the first derivative of x(b). Factor f(i).
i**2*(i - 1)**2*(i + 1)/2
Let p(j) = 2 - 8*j + 0*j**2 + 3*j**2 + 5*j**2. Let h(f) be the second derivative of 2*f**4/3 - 4*f**3/3 + f**2 - 14*f. Let c(w) = 4*h(w) - 3*p(w). Factor c(n).
2*(2*n - 1)**2
Find k such that 2*k**5 + 486*k**3 - 4*k**4 + 64*k**2 - 6*k**5 - 192 - 13*k - 438*k**3 - 107*k - 8*k = 0.
-2, 2, 3
Let n be (-1)/4 - 25/(-75). Let o(m) be the first derivative of 1/8*m**4 + n*m**3 + 0*m + 1/20*m**5 + 0*m**2 + 2. Factor o(x).
x**2*(x + 1)**2/4
Let w(h) be the second derivative of h**6/10 + 9*h**5/20 - 3*h**4/2 - 14*h**3 - 36*h**2 - 12*h + 6. Factor w(i).
3*(i - 3)*(i + 2)**3
Let z(k) be the second derivative of -k**6/45 - 29*k**5/10 - 1009*k**4/9 - 1820*k**3/3 - 1176*k**2 - 481*k. Solve z(d) = 0 for d.
-42, -2, -1
What is o in -2/3*o**3 - 2*o - 8/3*o**2 + 0 = 0?
-3, -1, 0
Factor -2*g + 45*g**2 - 3*g + 477*g**3 - 45 - 472*g**3.
5*(g - 1)*(g + 1)*(g + 9)
Let r(i) = -i**5 - i**4 + i**3 + i**2 - 1. Let l(z) = -4*z**5 - 14*z**4 + 34*z**3 - 38*z**2 + 30*z - 13. Let t(a) = -l(a) + 5*r(a). Factor t(h).
-(h - 4)*(h - 2)*(h - 1)**3
Suppose 16 + 32 = -3*y + x, 0 = y - 5*x + 16. Let l be ((-4)/6)/(y/12). Factor 1/2*h**4 + 0 + l*h**2 + h**3 + 0*h.
h**2*(h + 1)**2/2
Let h(f) = -f**3 + 5*f**2 - 3*f - 2. Let u be h(4). Let o = 1671/4115 + -5/823. Determine j so that -o + j**u + 9/5*j = 0.
-2, 1/5
Let v(l) be the third derivative of -l**8/896 + l**7/112 - 3*l**6/160 - 379*l**2. Suppose v(t) = 