+ u*i**2 + 2/3*i**5 + 2/3*i**3 + 0 + 4/3*i**4 = 0?
-1, 0
Let i(s) be the third derivative of s**7/280 + s**6/40 + s**5/40 - s**4/8 - 3*s**3/8 + 122*s**2. Factor i(n).
3*(n - 1)*(n + 1)**2*(n + 3)/4
Let r(y) be the second derivative of y**5/80 - y**4/16 + y**3/12 - y - 4. Let r(w) = 0. What is w?
0, 1, 2
Let i = 25 - 2249/90. Let w(l) be the third derivative of -i*l**5 + 0*l + 1/315*l**7 + 1/180*l**6 - l**2 - 1/36*l**4 + 0 + 0*l**3. Factor w(b).
2*b*(b - 1)*(b + 1)**2/3
Let o(d) be the second derivative of 8*d + 1/12*d**4 + 0 - 1/2*d**3 + 0*d**2. Factor o(f).
f*(f - 3)
Let r be 2*(-2 - -1) + 16. Suppose -3*v = -u - 15, -2*v = -3*u + u - r. Suppose l**2 - l + 3 - 1 + 2*l**2 - v*l**2 = 0. Calculate l.
-2, 1
Let w(m) be the second derivative of m**5/20 - 5*m**4/4 - m**3/6 + 15*m**2/2 - 2*m - 45. Let w(i) = 0. Calculate i.
-1, 1, 15
Factor 4 + 3609*x**3 - 120*x - 5092*x**3 + 2444*x**3 + 837*x**2.
(x + 1)*(31*x - 2)**2
Let r(a) be the third derivative of -a**6/420 - a**5/42 + a**4/84 + 5*a**3/21 - 10*a**2 + 3. Factor r(t).
-2*(t - 1)*(t + 1)*(t + 5)/7
Let y be 18/1 + (-6)/12*-8. Suppose 5*x - 37 + y = 0. Factor -1/4*f - 1/4*f**4 + 0 - 3/4*f**2 - 3/4*f**x.
-f*(f + 1)**3/4
Let n(g) = 5*g**2 + 5*g - 2. Let a(j) = 4*j**2 + 4*j - 2. Let c(m) = -3*a(m) + 2*n(m). Let s(o) = -4*o**2 - 3*o + 5. Let t(u) = 5*c(u) - 2*s(u). Factor t(b).
-2*b*(b + 2)
Let g(q) be the first derivative of -q**6/45 - q**5/30 + q**4/18 + q**3/9 - 18*q + 7. Let z(n) be the first derivative of g(n). Solve z(i) = 0.
-1, 0, 1
Let i be 0 + 3/(-6) + 189/66. Let t = i + -56/33. Factor 2*q + 10/3*q**2 + t*q**3 + 0 - 2/3*q**4.
-2*q*(q - 3)*(q + 1)**2/3
Factor 15/2*t**3 + 0*t + 5*t**4 + 10/3*t**2 + 5/6*t**5 + 0.
5*t**2*(t + 1)**2*(t + 4)/6
Let g be 0/((-30)/(-405) - 87/81). Let -2/11*h - 6/11*h**2 + g = 0. What is h?
-1/3, 0
Suppose 0 = -5*h - 5*c, 0 = -10*c + 11*c + 3. Let w(m) be the first derivative of 2/15*m + 13 + 1/10*m**4 + 1/15*m**2 - 2/9*m**h. Let w(y) = 0. Calculate y.
-1/3, 1
Suppose -28 = -58*y + 54*y. Let m(x) be the third derivative of 0*x**5 + 0*x**3 + 1/360*x**6 + 1/630*x**7 + 0*x**4 + 0*x - y*x**2 + 0. Let m(o) = 0. What is o?
-1, 0
Let a(w) be the second derivative of -w**6/45 - 7*w**5/30 - 13*w**4/18 + w**3/3 + 6*w**2 + 24*w - 1. Solve a(n) = 0.
-3, -2, 1
Let p be 78 + -80 + 3 + -1. Factor -35/4*r**4 - 20*r**3 - 55/4*r**2 + p - 5/2*r.
-5*r*(r + 1)**2*(7*r + 2)/4
Let n be (-2)/5 - 44/(-10). Let x(v) = v**3. Let z(r) = 2*r**3 - 10*r**2 + 2*r + 2. Let q = -1 - -2. Let l(d) = n*x(d) + q*z(d). Factor l(a).
2*(a - 1)**2*(3*a + 1)
Let p be 17 + -11 + -10 + (-34)/(-7). Let h be (138/63 - 2)*3. Determine y so that h - 2/7*y**3 + 0*y**2 + p*y = 0.
-1, 2
Let s(w) be the first derivative of 8*w**5/5 + 27*w**4/2 + 50*w**3/3 - 72*w**2 + 32*w - 83. Factor s(k).
2*(k - 1)*(k + 4)**2*(4*k - 1)
Let o(p) be the first derivative of 0*p - 1/17*p**2 + 2/51*p**3 - 10. Determine k, given that o(k) = 0.
0, 1
Suppose 4*k = d + 15, -10*k + 6*k = 3*d - 19. Let p(o) be the first derivative of 0*o + 0*o**2 + 0*o**3 - 1/6*o**6 + d + 2/5*o**5 - 1/4*o**4. Solve p(t) = 0.
0, 1
Let w(z) = 3*z**3 - 21*z**2 + 8*z - 56. Let f be w(7). Factor f*u - 2/9*u**2 - 2/9*u**3 + 0.
-2*u**2*(u + 1)/9
Let p(x) be the third derivative of x**7/210 - x**6/18 + 2*x**5/15 - 19*x**3/6 + 5*x**2. Let w(r) be the first derivative of p(r). Factor w(d).
4*d*(d - 4)*(d - 1)
Let m = -59 - -155. Let u = -670/7 + m. Suppose 2/7 - 2/7*y**2 + 2/7*y**3 - u*y = 0. Calculate y.
-1, 1
Let b(s) be the second derivative of -s**7/5040 - s**6/360 - s**5/60 - s**4/2 - 9*s. Let k(j) be the third derivative of b(j). Factor k(m).
-(m + 2)**2/2
Let t(c) be the second derivative of 5*c**4/8 - 275*c**3/12 + 45*c**2/2 - 2*c - 50. Factor t(f).
5*(f - 18)*(3*f - 1)/2
What is y in 1/3*y**2 + 160/3*y + 6400/3 = 0?
-80
Let o(v) = -19*v**2 + 7*v. Let f(r) = 56*r + 13*r**2 - 31*r - 30*r. Let z(x) = -7*f(x) - 5*o(x). Determine k, given that z(k) = 0.
0
Factor 4*x**3 - 16*x**4 - 18*x - 3*x**2 + 5*x**4 + 12*x**4.
x*(x - 2)*(x + 3)**2
Let s = 978 + -3943/4. Let u = 167/20 + s. What is c in -u*c**2 - 3/5*c + 6/5 = 0?
-2, 1
Solve 2*p**4 + 0*p + 0 + 0*p**2 - 4/9*p**5 - 8/9*p**3 = 0.
0, 1/2, 4
Let m(h) = 20*h**2 - 25*h + 30. Let p(z) = 2*z + 2. Let w(n) = m(n) - 25*p(n). Let w(r) = 0. Calculate r.
-1/4, 4
Determine h so that 8/11*h**4 + 0 + 1/11*h**5 + 6/11*h**3 - 7/11*h - 8/11*h**2 = 0.
-7, -1, 0, 1
Factor 128/5*d**3 + 216/5*d - 54/5 - 288/5*d**2.
2*(4*d - 3)**3/5
Let f(z) be the first derivative of -z**6/720 - z**5/120 + 6*z**3 - 11. Let l(a) be the third derivative of f(a). Factor l(c).
-c*(c + 2)/2
Let j = -3/2120 - -38199/27560. Solve 0*w + 0 + 4/13*w**2 - j*w**3 - 6/13*w**5 + 20/13*w**4 = 0 for w.
0, 1/3, 1, 2
Let h(l) be the third derivative of -l**5/54 - l**4/54 + l**3/9 - 8*l**2 - 2*l. Factor h(k).
-2*(k + 1)*(5*k - 3)/9
Suppose -3*l + l + 4 = 0. Factor 3*v**4 + v**2 + 2*v + 9*v**3 - 5*v**2 + 13*v**l + v.
3*v*(v + 1)**3
Suppose 2*y = 4 + 2. Let 13*t - 16*t**2 + 4*t**y + t - 2*t = 0. What is t?
0, 1, 3
Let t = 260 - 254. Factor -4*a - 2/3*a**2 - t.
-2*(a + 3)**2/3
Factor 21/2*o**2 + 5/2*o**3 + 14*o + 6.
(o + 1)*(o + 2)*(5*o + 6)/2
Suppose 3*z + 2*m - 7*m + 814 = 0, 1394 = -5*z - m. Let c = z - -282. Let -12/5*g**4 + 8/5 + 4/5*g**2 + c*g - 4*g**3 = 0. What is g?
-1, -2/3, 1
Let s be (-6)/(-16)*2 + 12062/(-296). Let v = 44 + s. Factor 2/3*f**5 + 1/3*f + 7/3*f**2 - 2/3 - 7/3*f**3 - 1/3*f**v.
(f - 1)**3*(f + 2)*(2*f + 1)/3
Factor -23*x**4 - 3*x**5 + 3*x**3 + 9*x**4 + 16*x**4 + 2*x**5.
-x**3*(x - 3)*(x + 1)
Let y(g) be the second derivative of -g**4/24 - 2*g - 63. Factor y(f).
-f**2/2
Let p(z) be the second derivative of 1/16*z**4 + 7/360*z**5 + 0 + 3*z**2 + 1/18*z**3 + 11*z. Let k(o) be the first derivative of p(o). Factor k(t).
(t + 1)*(7*t + 2)/6
Let l(v) be the second derivative of -1/20*v**6 + 1/8*v**4 + 0 - 3/40*v**5 + 0*v**2 + 1/4*v**3 - 14*v. Find m such that l(m) = 0.
-1, 0, 1
Suppose 11*d**2 + 40*d - 101*d + 5 + 51*d - 2*d**2 - 4*d**2 = 0. Calculate d.
1
Let z(g) be the third derivative of -g**6/420 + 19*g**5/210 - 3*g**4/14 - 35*g**2. Factor z(w).
-2*w*(w - 18)*(w - 1)/7
Let q be 5 - (24/6 - 4/(-4)). Factor q - 3/7*i**3 - 3/7*i**2 + 0*i.
-3*i**2*(i + 1)/7
Suppose -5*o + 35 = -5*v, -4*o - 5*v - 1 = 7. Factor -7/5*j + 9/5*j**2 + 2/5 + 1/5*j**4 - j**o.
(j - 2)*(j - 1)**3/5
Factor -7*n + 16*n + 60*n**3 + 43*n - 108*n**2 - 4*n**4.
-4*n*(n - 13)*(n - 1)**2
Let g(x) be the second derivative of -x**2 - 1/12*x**4 + 10*x + 1/2*x**3 + 0. Factor g(b).
-(b - 2)*(b - 1)
Let w(r) be the first derivative of -2*r**3/21 + 5*r**2/7 + 4*r + 500. Factor w(k).
-2*(k - 7)*(k + 2)/7
Let n(d) be the third derivative of d**8/18144 - d**7/2835 - d**6/810 + d**5/60 + 31*d**4/24 - 51*d**2. Let u(a) be the third derivative of n(a). Factor u(i).
2*(i - 2)*(5*i + 2)/9
Let y(o) be the first derivative of 2*o**3 + 9*o**2 + 27*o/2 - 81. Suppose y(l) = 0. Calculate l.
-3/2
Suppose 119*m + 6 = 121*m. Suppose 1 = 5*k + 1. Solve 0*q + k - 1/5*q**2 - 2/5*q**m - 1/5*q**4 = 0 for q.
-1, 0
Let r(s) be the first derivative of 49/6*s**4 - 16/3*s + 20*s**2 + 18 - 28*s**3. Factor r(c).
2*(c - 2)*(7*c - 2)**2/3
Let m(b) be the first derivative of 36*b**5/5 - 24*b**4 - 32*b**3/3 + 64*b**2 + 64*b - 75. Factor m(o).
4*(o - 2)**2*(3*o + 2)**2
Let y(h) be the second derivative of -1/6*h**6 + 10*h**2 - 1/2*h**5 + 0 + 20/3*h**3 + 4*h + 5/4*h**4. Factor y(d).
-5*(d - 2)*(d + 1)**2*(d + 2)
Let y(v) be the first derivative of 4*v**5/5 - 5*v**4/2 + 2*v**3/3 + 2*v**2 + 78. Let y(u) = 0. What is u?
-1/2, 0, 1, 2
Let x(p) be the second derivative of p**5/80 + 17*p**4/48 + 2*p**3/3 - 200*p. Find a, given that x(a) = 0.
-16, -1, 0
Let v(s) be the first derivative of 4*s**5/25 + 2*s**4/5 - 12*s**3/5 - 36*s**2/5 - 170. Factor v(f).
4*f*(f - 3)*(f + 2)*(f + 3)/5
Suppose -5 = x, 26*a - 30 = 22*a + 2*x. Suppose 0 = h - 2*o + 1 - 8, 0 = 3*o + 9. Factor -1 - h - 2*g**4 + 3*g**5 + 2*g**a - 2*g**3 + 4*g**2 + g - 4*g**5.
(g - 2)*(g - 1)**2*(g + 1)**2
Suppose 0 - 16/7*q**2 + 12/7*q**3 + 0*q - 2/7*q**4 = 0. Calculate q.
0, 2, 4
Factor 63 + 260*k**2 + 0 + 253*k**2 - 18*k - 514*k**2.
-(k - 3)*(k + 21)
Factor -14*l**2 - 25*l - 24 + 5*l**4 + 30*l**2 + 0*l**4 - l**2 + 4 + 25*l**3.
5*(l - 1)*(l + 1)**2*(l + 4)
Let v(z) be the third