be the second derivative of -i*z + 2/5*z**5 - 2/5*z**6 + 0 - 8*z**2 + 0*z**3 + 3*z**4. Let a(t) = 0. Calculate t.
-1, 2/3, 2
Let u = -15 + 17. Find i, given that -6*i**3 + 3*i**u + 5*i**2 - 3*i**2 + i**3 = 0.
0, 1
Let s(y) = 9*y**2 + 156*y + 439. Let w(c) = -8*c**2 - 157*c - 438. Let p(m) = -3*s(m) - 4*w(m). Determine l so that p(l) = 0.
-29, -3
Determine s, given that 2/13*s**3 + 10/13*s + 24/13 - 12/13*s**2 = 0.
-1, 3, 4
Let m(b) be the first derivative of -b**6/1440 - b**5/160 - b**4/48 + 19*b**3/3 - 9. Let k(p) be the third derivative of m(p). Let k(v) = 0. Calculate v.
-2, -1
Factor 4*r**2 + 5*r - r**4 + 3*r**3 + 4*r**2 + 4*r**3 + r + 5*r**2 - r**5.
-r*(r - 3)*(r + 1)**2*(r + 2)
Find b such that 72*b**4 - 81 - 440*b - 44*b**3 - 282*b**2 - 119 - 74*b**4 = 0.
-10, -1
Suppose -11*s + 15*s - 12 = 0. Factor -s*z**2 - 17*z**4 + 16*z**4 + 3*z**3 - 10*z + 11*z.
-z*(z - 1)**3
Factor -1/3*r**3 - 636056/3 - 7396*r - 86*r**2.
-(r + 86)**3/3
Let r be -14 + (1 - 710/(-50)). Solve 8/3*s**2 + 4/15 + 26/15*s + r*s**3 = 0 for s.
-1, -2/9
Let o(t) be the first derivative of -t**7/840 + t**6/180 + 8*t**3/3 + 2. Let x(a) be the third derivative of o(a). Suppose x(i) = 0. What is i?
0, 2
Let j(x) be the third derivative of x**5/390 - 7*x**4/78 - 51*x**2 + 1. Suppose j(i) = 0. Calculate i.
0, 14
Let k(b) = b**3 - b. Let y(r) = -20*r**3 + 10*r**2 - 30. Let v(u) = -25*k(u) - y(u). Factor v(q).
-5*(q - 2)*(q + 1)*(q + 3)
Let s(q) be the third derivative of 2/39*q**4 + 1/780*q**6 + 0 + 1/78*q**5 + 4/39*q**3 + 6*q**2 + 0*q. Let s(z) = 0. What is z?
-2, -1
Factor -93/5*k + 1/5*k**3 - 27 + 43/5*k**2.
(k - 3)*(k + 1)*(k + 45)/5
Let -147/2*g + 7203/4 + 3/4*g**2 = 0. Calculate g.
49
Let k(v) be the third derivative of -v**8/336 + v**7/210 + v**6/40 - v**5/60 - v**4/12 + 77*v**2. What is d in k(d) = 0?
-1, 0, 1, 2
Let u(g) be the first derivative of g**5/240 - g**4/48 + g**3/24 + 13*g**2 + 30. Let v(t) be the second derivative of u(t). Find b, given that v(b) = 0.
1
What is p in -40 - 275*p**2 + 14*p**2 - 828*p + 97*p**2 = 0?
-5, -2/41
Let o(u) be the third derivative of 3*u**6/40 - 7*u**5/24 - 7*u**4/6 - u**3/4 + 708*u**2. Factor o(m).
(m - 3)*(m + 1)*(18*m + 1)/2
Let f(z) = z**3 + 2*z - 2. Let u be f(0). Let t be (-10)/(-6)*u/(-5). Factor -r**3 - t + r + 2/3*r**2.
-(r - 1)*(r + 1)*(3*r - 2)/3
What is a in -5*a**2 + 5*a**3 - 6*a**3 - 436*a + 430*a = 0?
-3, -2, 0
Let -1/5*g**3 + 1/5*g + 0 + 0*g**2 = 0. What is g?
-1, 0, 1
Factor 236*x**2 - 4251*x - 1688*x**2 + 4314*x + 63*x**3 + 138.
3*(x - 23)*(3*x - 1)*(7*x + 2)
Let f(v) be the first derivative of 5*v**3/3 + 55*v**2/2 + 150*v + 204. What is h in f(h) = 0?
-6, -5
Let b = 2 + 3. Factor 12*v**2 - 3*v**3 - 4*v - 6*v - 12*v**4 + 18*v - b*v**3.
-4*v*(v - 1)*(v + 1)*(3*v + 2)
Let l = 33 - 30. What is h in -5*h**3 + h**3 + 6*h + 2*h**l + 2*h**2 - 2*h = 0?
-1, 0, 2
Let j(f) = -2*f**2 - 50*f + 52. Let u(t) = 6*t**2 + 150*t - 156. Let s(n) = 11*j(n) + 4*u(n). Determine b so that s(b) = 0.
-26, 1
Suppose 174*r - 219*r = -225. Suppose -1/5*x**r + 0 + 2/5*x**4 + 0*x**2 - 1/5*x**3 + 0*x = 0. What is x?
0, 1
Let q(o) be the first derivative of -o**6/2520 + o**5/420 + o**4/56 + 11*o**3/3 + 25. Let k(c) be the third derivative of q(c). Factor k(a).
-(a - 3)*(a + 1)/7
Let y(w) be the second derivative of 5*w**4/12 - 15*w**3/2 + 20*w**2 - 456*w. Solve y(d) = 0.
1, 8
Let t(g) be the second derivative of 3*g**4/4 - 19*g**3/2 - 21*g**2 - g + 139. What is r in t(r) = 0?
-2/3, 7
Let r(f) be the third derivative of -f**9/90720 + f**8/15120 + f**7/7560 - f**6/540 - 7*f**5/60 + 2*f**2. Let c(i) be the third derivative of r(i). Factor c(y).
-2*(y - 2)*(y - 1)*(y + 1)/3
Let m = -26 + 25. Let p(i) be the second derivative of -i**4/4 - 3*i**3 + 9*i**2/2 - 2*i. Let l(x) = -x + 1. Let c(a) = m*p(a) + 12*l(a). Factor c(t).
3*(t + 1)**2
Let n(t) be the first derivative of t**2 + 4/5*t + 8/15*t**3 + 1/10*t**4 + 2. Suppose n(m) = 0. What is m?
-2, -1
Suppose -50*n + 172 = -7*n. Let r(b) be the second derivative of 0*b**2 + 7/24*b**n + 1/6*b**3 - 5*b + 0. What is a in r(a) = 0?
-2/7, 0
Let g(c) = 3*c**3 - 4*c**2 + 9*c + 4. Let f(o) = 10*o**3 - 11*o**2 + 27*o + 14. Let u(n) = 6*f(n) - 21*g(n). Factor u(l).
-3*l*(l - 3)**2
Let d(x) be the first derivative of -6 + 1/2*x**2 + 1/6*x**3 - 1/4*x**4 - 1/10*x**5 + 0*x. Factor d(f).
-f*(f - 1)*(f + 1)*(f + 2)/2
Let d(r) be the third derivative of -r**9/12960 - r**8/1008 - r**7/945 + r**5/12 - 19*r**2. Let h(q) be the third derivative of d(q). Let h(t) = 0. Calculate t.
-4, -2/7, 0
Let q be ((-60)/2)/((-20)/10). Factor f**2 - 6*f**3 - q*f**3 + 20*f**3.
-f**2*(f - 1)
Solve 0*r**5 - 4*r**5 + 88*r**3 - 36*r**4 + 0*r**2 + 0*r**2 - 128*r + 8*r**5 = 0.
-1, 0, 2, 4
Let f = -37 - -41. Factor -2*m**f + 22*m**2 - 5*m**5 + m**5 + m + 3*m**5 - 20*m**2.
-m*(m - 1)*(m + 1)**3
What is m in 0*m**2 + m**2 + 1075*m**3 + m**4 + 3*m + 3*m - 1079*m**3 = 0?
-1, 0, 2, 3
Let t(w) = 23*w**3 - 171*w**2 + w + 159. Let m(s) = -4*s**3 + s**2 + 1. Let a(x) = 6*m(x) + t(x). Factor a(d).
-(d - 1)*(d + 1)*(d + 165)
Let s(r) = -15*r**3 + 11*r**2 - 28*r + 32. Let d(t) = 2*t**3 - t - 1. Let j(v) = 28*d(v) + 4*s(v). Suppose j(q) = 0. Calculate q.
1, 5
Factor 0*u - 16*u**2 - 4*u - 18*u**2 - 18*u**2 + 56*u**2.
4*u*(u - 1)
Factor 30/7*f - 32/7 + 2/7*f**2.
2*(f - 1)*(f + 16)/7
Let p(j) = -18*j**2 + 45*j + 38. Let a(i) = -28*i**2 + 68*i + 56. Let q(o) = -5*a(o) + 8*p(o). Let q(k) = 0. Calculate k.
-1, 6
Suppose 0 - 1/5*t**2 + 3/5*t = 0. Calculate t.
0, 3
Let y(v) be the second derivative of 0 - 4/33*v**3 - 4/11*v**2 - 1/66*v**4 + 11*v. Factor y(j).
-2*(j + 2)**2/11
Factor -5*i**2 + 457 + 9*i**2 - 176*i + 1479.
4*(i - 22)**2
Suppose 0 = -k + 2*k - 4*f - 20, 0 = -k + f + 32. Find o such that 22*o**5 - o**5 + 10*o - 34*o + 127*o**4 + 138*o**3 - 226*o**4 - k*o**2 = 0.
-2/7, 0, 1, 2
Factor -252/17*r + 626/17*r**2 + 0 + 10/17*r**3.
2*r*(r + 63)*(5*r - 2)/17
Factor -17*j**2 - 10*j**3 - 4296*j**4 + 4295*j**4 + j**3 - 10*j**2 - 12 - 31*j.
-(j + 1)**2*(j + 3)*(j + 4)
Let g be (-6)/75 - 2286/(-450). Let s(k) be the second derivative of -3*k + 0 - 16/5*k**2 - 8/3*k**3 - 11/10*k**4 - 1/5*k**g - 1/75*k**6. Factor s(y).
-2*(y + 1)**2*(y + 4)**2/5
Let w(o) = -52*o**3 - 12*o**2 + 16*o + 28. Let p(r) = 2*r**3 + r**2 - 1. Let v(z) = -28*p(z) - w(z). Let v(n) = 0. What is n?
-2, 0
Let i be (-3 - -6) + 2331/12. Let g = i - 197. Factor g*t**4 + 1 + 13/4*t**2 + 3/2*t**3 + 3*t.
(t + 1)**2*(t + 2)**2/4
Let t(h) be the third derivative of h**5/20 + 13*h**4/8 - 34*h**3 - 2*h**2 + 129*h. Factor t(m).
3*(m - 4)*(m + 17)
Determine o, given that -40*o + 10*o**3 + 5*o**4 - 14 - 15*o**2 + 2 - 11 + 4 - 1 = 0.
-2, -1, 2
Suppose 57 = 2*p + b, -3*b + b - 16 = -p. Let f = p - 51/2. Let f*m - 3/4 + 1/4*m**2 = 0. What is m?
-3, 1
Suppose 0 = -2*q - 3*u + 1 - 0, -4*q - 3*u = -11. Let -5 + 29*z**4 + 5*z**q + 5 + 5*z**3 - 19*z**4 = 0. What is z?
-1, 0
Let q(v) be the second derivative of -v**4/12 + 4*v**3 - 58*v**2 + 14*v. Let h be q(17). Factor -h - 3/4*p**2 - 6*p + 15/4*p**3 - 3/4*p**5 + 3/4*p**4.
-3*(p - 2)**2*(p + 1)**3/4
Let b(d) be the third derivative of d**7/840 + 13*d**6/480 - d**5/16 - 13*d**4/96 + 7*d**3/12 - 13*d**2 - 3*d. Factor b(o).
(o - 1)**2*(o + 1)*(o + 14)/4
Let a(y) be the second derivative of 0 + 15/2*y**3 + 3/20*y**5 + 14*y - 7/4*y**4 - 27/2*y**2. Solve a(v) = 0 for v.
1, 3
Let k(w) be the second derivative of w**5/30 + 2*w**4 - 115*w**3/9 + 26*w**2 + 2*w - 100. Factor k(c).
2*(c - 2)*(c - 1)*(c + 39)/3
Let w(z) be the first derivative of -z**5/330 + z**4/44 - 11*z**2/2 - 16. Let r(g) be the second derivative of w(g). Factor r(s).
-2*s*(s - 3)/11
Let g be (-12)/(-16) - 3542/(-184). Factor -g*l - 5/2*l**3 - 40 + 35/2*l**2.
-5*(l - 4)**2*(l + 1)/2
Factor -9*c**2 + 11*c + 13*c**2 - 3*c - 44*c.
4*c*(c - 9)
Factor -12*j**3 + 16/3 - 16*j - 100/3*j**2.
-4*(j + 1)*(j + 2)*(9*j - 2)/3
Factor 5*y**4 + 56 + 90 + 105*y - 36*y**2 + 34 - 5*y**3 - 49*y**2.
5*(y - 3)**2*(y + 1)*(y + 4)
Find x, given that -9/2*x + 0 - 3/2*x**2 = 0.
-3, 0
Factor 112 - 2*v**2 + 4*v + 110 + 4*v - 13*v**3 - 3*v**4 - 222.
-v*(v + 1)*(v + 4)*(3*v - 2)
Suppose -30*m**3 - 217*m**4 + 32*m - 217*m**4 - 2*m**5 + 448*m**4 + 10*m**2 - 24 = 0. What is m?
-1, 1, 2, 3
Let s(g) be the first derivative of g**6/15 - 286*g**5/25