r - 4/9*r**3 + 0 + 2/15*r**5 - 2/45*r**6 + 0*r**2 + 1/9*r**4. Suppose m(q) = 0. Calculate q.
-1, 0, 1, 2
Let k(o) = -2*o**2 + 3*o + 5. Let v = -5 - -11. Let d(g) = -3*g - 4*g - v*g**2 + 17*g + 32 - 16. Let m(w) = 3*d(w) - 10*k(w). Let m(u) = 0. Calculate u.
-1, 1
Let c(p) be the third derivative of 15 - p**3 - 1/8*p**4 + 1/20*p**5 + 0*p + 2*p**2. Factor c(r).
3*(r - 2)*(r + 1)
Let a be ((-36)/(-24))/((-9)/(-424)). Let x = -70 + a. Determine u so that 8/3 + 8/3*u**3 - 2*u**2 - 8/3*u - x*u**4 = 0.
-1, 1, 2
Let z(q) be the second derivative of q**5/60 + 2*q**4/9 + 10*q**3/9 + 8*q**2/3 + 20*q. Solve z(f) = 0 for f.
-4, -2
Let x(q) be the second derivative of -q**5/10 + 3*q**4 - 20*q**3 - 200*q**2 - 12*q - 6. Factor x(k).
-2*(k - 10)**2*(k + 2)
Let t(c) = -16*c**4 + 296*c**2 - 28*c - 704. Let b(d) = 3*d**4 - 54*d**2 + 5*d + 128. Let i(p) = 28*b(p) + 5*t(p). What is s in i(s) = 0?
-2, 2
Suppose -5*j + 35 = 5*u, 44 = u + 5*j + 17. Factor -10*l - 2*l**2 - 9*l**3 + 7*l + 0*l**u + 10*l**3.
l*(l - 3)*(l + 1)
Suppose -14*n + 15*n = 2. Let v(d) be the second derivative of 0*d**n - 3/10*d**5 + 1/5*d**6 + 0*d**3 + 0 + 1/6*d**4 - d - 1/21*d**7. Factor v(i).
-2*i**2*(i - 1)**3
Determine i, given that 12/11*i**2 - 2*i**3 - 12/11 + 2*i = 0.
-1, 6/11, 1
Let k(q) = q + 40. Let j be k(0). Let p = j + -38. Determine n so that 1/2*n + 1/4*n**3 + 0 + 3/4*n**p = 0.
-2, -1, 0
Suppose 5 - 11 = -2*l. Factor 10*t - 2*t**2 + t**3 - 6 - 7*t**3 + 4*t**l.
-2*(t - 1)**2*(t + 3)
Let r(v) = 27*v**4 - 63*v**3 + 90*v**2 - 57*v + 17. Let x(z) = -14*z**4 + 31*z**3 - 45*z**2 + 29*z - 9. Let g(o) = -4*r(o) - 7*x(o). Factor g(f).
-5*(f - 1)**3*(2*f - 1)
Let f(c) be the first derivative of -c**4/4 - 10*c**3/3 + 13*c**2/2 + 22*c - 151. Suppose f(u) = 0. What is u?
-11, -1, 2
Suppose -2*q**4 - 80*q - 6*q**2 - 17*q**4 + 12*q**4 + 3*q**4 - 4*q**3 + 70*q**2 = 0. Calculate q.
-5, 0, 2
Factor -6*q**4 + 2*q**4 + 553 - 24*q**2 + 16*q**3 + 16*q - 557.
-4*(q - 1)**4
Let a(d) be the first derivative of -d**4/14 + 230*d**3/7 - 39675*d**2/7 + 3041750*d/7 + 808. Factor a(i).
-2*(i - 115)**3/7
Determine l, given that -129/10*l + 33/5*l**2 + 32/5 - 1/10*l**3 = 0.
1, 64
Let k(r) be the first derivative of r**4/18 - 154*r**3/27 + 1520*r**2/9 - 2888*r/9 + 244. Determine a, given that k(a) = 0.
1, 38
Let y(h) be the second derivative of -h**2 + 1/2*h**4 + 0 + 0*h**3 - 4*h + 1/5*h**5. Let y(i) = 0. Calculate i.
-1, 1/2
Let d = -1 + 3. Let v(c) be the first derivative of -2392*c**3 - 48*c - 29403/5*c**5 - 5940*c**4 - 3 - 480*c**d. Determine f, given that v(f) = 0.
-2/9, -2/11
Let p = 6274/15 + -2082/5. Let l = -6/5 + p. Suppose -1/3*i**2 - l*i - 1/3 = 0. Calculate i.
-1
Let c be ((-17)/68)/(28/(-16)). Find l, given that 2/7 - c*l**2 - 1/7*l = 0.
-2, 1
Let g be 18/63 - 124/(-7). Let a(n) = -507*n**3 - 630*n**2 + 756*n - 150. Let r(x) = -145*x**3 - 180*x**2 + 216*x - 43. Let d(s) = g*r(s) - 5*a(s). Factor d(t).
-3*(t + 2)*(5*t - 2)**2
Let o(d) be the first derivative of 8*d**5/35 - 25*d**4/14 + 36*d**3/7 - 44*d**2/7 + 16*d/7 + 314. Solve o(t) = 0 for t.
1/4, 2
Let s(p) be the second derivative of -34*p + 7/138*p**4 + 11/69*p**3 - 6/23*p**2 + 0. Suppose s(l) = 0. What is l?
-2, 3/7
Let g(o) be the first derivative of o**9/2268 - o**8/1260 - o**7/315 - 10*o**3 + 31. Let f(h) be the third derivative of g(h). Factor f(t).
4*t**3*(t - 2)*(t + 1)/3
Let d(a) be the third derivative of -1/15*a**5 + 0 + a - 7*a**2 + 4*a**3 + 1/6*a**4. Factor d(i).
-4*(i - 3)*(i + 2)
Let w = 23 - 42. Let k = w - -21. Factor -65*r + 8 + 31*r + k*r**2 + 42*r.
2*(r + 2)**2
Let l(c) = 2*c - 1. Let v be l(2). Let h(w) = -12*w - 20. Let i be h(-2). Let 4/3*z**2 - 16/3*z**5 + 11/3*z - 2/3 - 56/3*z**i - 49/3*z**v = 0. Calculate z.
-2, -1, 1/4
Determine j, given that 8/17*j**3 - 4/17*j + 6/17*j**4 - 10/17*j**2 + 0 = 0.
-2, -1/3, 0, 1
Let w(u) be the third derivative of -u**8/5040 - u**7/126 - 5*u**6/54 + 19*u**3/3 - 38*u**2. Let m(x) be the first derivative of w(x). Factor m(q).
-q**2*(q + 10)**2/3
Factor 1/4*f**3 + 1/2*f**2 - 2 - f.
(f - 2)*(f + 2)**2/4
Suppose -46 = -14*s + 10. Suppose 2*g - 1 = -s*z + g, 5*z + 4 = 4*g. Factor z - 1/4*d**2 - 1/4*d.
-d*(d + 1)/4
Suppose -56*c = -60*c. Let m(f) be the second derivative of 0*f**4 + c + 0*f**3 + 1/50*f**5 + 0*f**2 + 4*f + 0*f**6 - 1/105*f**7. Factor m(w).
-2*w**3*(w - 1)*(w + 1)/5
Let s(g) be the second derivative of -g**6/60 - g**5/8 - g**4/8 + 5*g**3/12 + g**2 + 2*g - 37. Factor s(j).
-(j - 1)*(j + 1)**2*(j + 4)/2
Let d(u) be the first derivative of -u**3/21 - 20*u**2 - 2800*u + 235. Let d(k) = 0. Calculate k.
-140
Let j(z) be the third derivative of 1/1380*z**6 + 0*z**3 + 0*z**5 + 0*z - 1/276*z**4 + 5*z**2 + 0. Factor j(i).
2*i*(i - 1)*(i + 1)/23
Let x(z) be the second derivative of -z**6/30 + 7*z**5/4 - 67*z**4/12 + 11*z**3/2 - 253*z. Factor x(g).
-g*(g - 33)*(g - 1)**2
Let g = 9597/5 - 9594/5. Factor 0 + 6/5*a**3 - 3/5*a**2 - g*a.
3*a*(a - 1)*(2*a + 1)/5
Suppose 6*c - 10 = -5*r + 4*c, -r - 4*c = 16. Factor -3*w**2 - 56*w - r + w**2 + 53*w + 3*w**2.
(w - 4)*(w + 1)
Let x(z) be the second derivative of z**5/15 - z**4/6 - 15*z**2 + 33*z. Let r(l) be the first derivative of x(l). Find t, given that r(t) = 0.
0, 1
Let o(v) = -v**3 - 55*v**2 - 295*v - 46. Let j be o(-49). Factor -1/4*u**4 + 1/4*u**j + 0 + 0*u**2 + 0*u.
-u**3*(u - 1)/4
Let b(x) be the third derivative of -x**7/840 - x**6/240 + x**5/80 + x**4/12 + x**3/6 + 53*x**2 - 9*x. Determine f so that b(f) = 0.
-2, -1, 2
Let w(f) = 93*f - 928. Let r be w(10). Let p(i) be the second derivative of 0 + 0*i**3 + 3*i - 3/5*i**5 + 0*i**r - 2/3*i**4 - 2/15*i**6. Factor p(o).
-4*o**2*(o + 1)*(o + 2)
Let r(n) be the first derivative of -2*n**7/3 + 4*n**6/5 - 4*n**5/15 + 17*n**2/2 + 17. Let h(f) be the second derivative of r(f). What is p in h(p) = 0?
0, 2/7, 2/5
Let l be 11 + -6 + -6 + 24 + 0. Suppose -11*i + l*i = 11*i. Factor i - 2/13*d**2 + 2/13*d.
-2*d*(d - 1)/13
Let s be 1*3*(2 + -3). Let w(a) = a**3 - a**2 + a + 1. Let k(m) = 3*m + 1. Suppose -3*n - 3 + 12 = 0. Let o(c) = n*k(c) + s*w(c). Suppose o(u) = 0. Calculate u.
-1, 0, 2
Suppose 3/4*q**3 + 21/2*q + 0 - 45/4*q**2 = 0. Calculate q.
0, 1, 14
Let w(n) = n + 8. Suppose -3*a = 16 - 1. Let o be w(a). What is f in 5*f - 4*f**2 + f**o + 3 - 6 + 1 = 0?
1, 2
Let p(g) = g**4 - g - 1. Let k(s) = 6*s**5 + 21*s**4 + 12*s**3 + 3*s**2 - 6*s - 6. Let u(o) = k(o) - 6*p(o). What is c in u(c) = 0?
-1, -1/2, 0
Let i be 1 - 9 - 572/(-66). Find a such that -1/3*a**4 - i*a + 1/3*a**2 + 0 + a**3 - 1/3*a**5 = 0.
-2, -1, 0, 1
Suppose -8*u + 49 = -71. Factor 4*b**3 + 2*b**3 + u*b + 5*b + 2*b**3 + 44*b**2.
4*b*(b + 5)*(2*b + 1)
Let f(o) be the first derivative of 0*o**4 + 9 + 0*o + 2/5*o**5 - 2*o**3 - 2*o**2. Solve f(l) = 0.
-1, 0, 2
Let m = -68 - -70. Let u(b) = -b**3 - 4*b**2 - 3*b - 6. Let r be u(-4). Factor 1 + 3*t + m*t**3 - 1 + t**3 + r*t**2.
3*t*(t + 1)**2
Let l(t) be the third derivative of -13*t**2 - 1/390*t**5 - 1/39*t**3 - 1/78*t**4 + 0*t + 0. What is r in l(r) = 0?
-1
Let y(s) be the third derivative of -1/120*s**6 + 1/60*s**5 - 2*s**3 - 23*s**2 + 2*s + 1/3*s**4 + 0. Determine z, given that y(z) = 0.
-3, 2
Let f = 55 - 50. Factor -f*k**2 - 66 - 114 - 45*k - 15*k.
-5*(k + 6)**2
What is i in 2/9*i**3 - 9653618/9 + 57122/3*i - 338/3*i**2 = 0?
169
Factor 15/7 - 9/7*g**2 + 6/7*g.
-3*(g + 1)*(3*g - 5)/7
Let g be (4*(-10)/(-330))/(-1 + 5/3). Factor 8/11 + g*w**2 + 10/11*w.
2*(w + 1)*(w + 4)/11
Let l = -9 - -16. Suppose 5*o = -k + 25, -4*o + l = 3*k - 13. Find m such that 0*m - 1/3*m**2 + k = 0.
0
Let i(p) be the second derivative of p**7/5040 - p**6/288 - p**4/4 - 20*p. Let q(l) be the third derivative of i(l). Let q(z) = 0. Calculate z.
0, 5
Let q(r) = r**2 - 4*r - 3. Let k(f) = -4*f + 2*f**2 + 13 - 25 + 9. Let n(o) = 4*k(o) - 6*q(o). Factor n(g).
2*(g + 1)*(g + 3)
Suppose 4*c - 241 + 249 = 0. Let t be (-275)/(-110) - c*(-1 - 0). Factor 0*j**2 + 0*j - t*j**4 + 0 - j**3.
-j**3*(j + 2)/2
Suppose 0 = -5*z + 52 - 37. Let r(j) be the first derivative of 0*j**2 + 0*j - 1/2*j**4 - 8 - 1/3*j**z. Let r(s) = 0. Calculate s.
-1/2, 0
Suppose -64*n + 50 = -24*n - 110. Determine z, given that 8/5*z - 2*z**3 + 12/5*z**2 - 16/5 + 2/5*z**n = 0.
-1, 2
Suppose 4*g + 5 = -4*n + 1, -n + 3*g = -19. Suppose -8*k - 9*k**3 + 14*k**3 + 