(-15)/(-2))/3)/(14/((-616)/(-275))). Let l be -2*(-1)/20*2. Determine r so that 1/5 - q*r + l*r**2 = 0.
1
Let z be (-1702)/(-3774) + 2/(-6) - 4/34. Find r, given that 2/9*r**3 + 0 + 0*r + z*r**2 - 2/9*r**5 + 0*r**4 = 0.
-1, 0, 1
Suppose 0 = 2*n - 5*u - 84, u + 80 = 2*n - 3*u. Find i, given that 8*i**5 - n*i + 12*i**3 + 24*i - 12*i**5 + 4*i**2 - 4*i**4 = 0.
-2, -1, 0, 1
Factor -56*g**2 + 0*g**3 - 19*g**3 + 10*g + 3*g**3 - 22*g**2.
-2*g*(g + 5)*(8*g - 1)
Determine q, given that -8/3*q + 2/9*q**2 + 22/9 = 0.
1, 11
Suppose 28 = -9*r - 782. Let s be 10/(-12)*144/r. Let 2/3*a**2 + 2/3*a - s = 0. What is a?
-2, 1
Suppose -37 = -7*h + 4*p, h + 3*p + 8 = -1. Suppose 0 - 4/9*j + 2/9*j**2 + 10/9*j**4 + 16/9*j**h = 0. Calculate j.
-1, 0, 2/5
Let u(y) be the second derivative of y**7/168 - y**6/20 + 3*y**5/20 - 5*y**4/24 + y**3/8 + 5*y - 1. Suppose u(c) = 0. What is c?
0, 1, 3
Let z be (-1 - (-4 + 1))*(-8 + 10). Let b(r) be the second derivative of 3*r + 3/2*r**2 + 1/16*r**z - 1/2*r**3 + 0. Factor b(j).
3*(j - 2)**2/4
Let w(i) be the second derivative of i**7/3150 - i**6/180 + i**5/25 - i**4/2 - 15*i. Let p(y) be the third derivative of w(y). Find a, given that p(a) = 0.
2, 3
Let o(u) = -37*u**2 - 355*u - 360. Let l(j) = -60*j**2 - 710*j - 720. Let h(w) = -3*l(w) + 5*o(w). Factor h(y).
-5*(y - 72)*(y + 1)
Let q(r) be the second derivative of r**5/10 - r**4/3 - 8*r**3/3 + 123*r. Factor q(z).
2*z*(z - 4)*(z + 2)
Let -12*m**4 + 6*m**2 + 16*m + 6 + 6*m + 0*m - 3*m**5 - 12*m**3 - 7*m = 0. Calculate m.
-2, -1, 1
Solve 2*m - 2/7*m**3 - 12/7 + 0*m**2 = 0.
-3, 1, 2
Let k = 10765 + -10762. Factor y**2 + 1/3*y**k + y + 1/3.
(y + 1)**3/3
Suppose -3*y + 4 = n + 7, -9 = 3*n. Let q be -1*(4 + -4)/(1 - y). Factor q - 9/2*l**2 - 3*l.
-3*l*(3*l + 2)/2
Let y(z) be the third derivative of 0*z + 1/30*z**6 - 2/5*z**5 + 2*z**4 - 16/3*z**3 + 52*z**2 + 0. Factor y(d).
4*(d - 2)**3
Let u(v) = -8*v**2 + 12*v. Let w(n) = -15*n**2 + 23*n - 1. Let l(x) = -x**2 + 7*x - 7. Let o be l(7). Let i(r) = o*u(r) + 4*w(r). Factor i(m).
-4*(m - 1)**2
Suppose -52 + 176 = 62*c. Factor 1/3*q + 0 + 1/3*q**4 + q**c + q**3.
q*(q + 1)**3/3
Suppose 3*t**3 - 8*t**4 - 676*t**2 + 101*t**3 + 15 + 4*t**4 - 15 = 0. Calculate t.
0, 13
Let h(c) be the second derivative of -c**9/15120 - c**8/960 - c**7/180 - c**6/90 - 7*c**4/6 - 3*c. Let l(f) be the third derivative of h(f). Factor l(r).
-r*(r + 1)*(r + 2)*(r + 4)
Suppose -21*t + 110 = -10*t. Let a(i) be the third derivative of 0*i - 9/20*i**5 - 11/8*i**4 + 0 - t*i**2 - i**3. Let a(z) = 0. What is z?
-1, -2/9
Let x = 1179 - 1176. Let g(t) be the third derivative of -4/3*t**4 + 8/3*t**x - 3*t**2 + 1/3*t**5 + 0*t + 0 - 1/30*t**6. Solve g(i) = 0 for i.
1, 2
Factor -41*c**2 + 6*c**3 - 43*c**2 + 5*c + 73*c**2 - c**4 + c.
-c*(c - 3)*(c - 2)*(c - 1)
Let j(d) = -d**3 + d**2 + 4*d - 8. Let b(z) = -4*z**3 + 3*z**2 + 15*z - 32. Let f be 0 - -2 - (2 - (4 + -2)). Let l(n) = f*b(n) - 9*j(n). Factor l(a).
(a - 4)*(a - 1)*(a + 2)
Let p(m) be the second derivative of 26*m + 0*m**2 - 1/2*m**3 + 1/40*m**5 + 5/24*m**4 + 0. Factor p(w).
w*(w - 1)*(w + 6)/2
Suppose 5*s - 10 = -0. Let z = -10688/5 + 2138. Factor z*k - 2/5*k**3 - 2/5 + 2/5*k**s.
-2*(k - 1)**2*(k + 1)/5
Suppose 5*y + 6*h = 14, 0 = -y + 6*h - 2*h + 8. Factor -1/7*c**y + 0*c**3 + 0*c + 0 + 0*c**2.
-c**4/7
Let h = 20 - 11. Let v(b) = -b**3 + 8*b**2 + 10*b - 6. Let n be v(h). Let -2*f**n + 47 - 47 + 2*f = 0. Calculate f.
-1, 0, 1
Let k(j) be the second derivative of -j**5/40 - 35*j**4/12 - 137*j**3/12 - 17*j**2 + 2*j + 103. Factor k(m).
-(m + 1)**2*(m + 68)/2
Let t be -1*(4 - 1) - -7. Let 2*x**3 + x**5 + t*x - 3*x - 4*x**3 = 0. Calculate x.
-1, 0, 1
Let f(k) be the third derivative of -1/300*k**5 - 1/10*k**3 + 0*k + 0 - 1/30*k**4 + 8*k**2. Factor f(y).
-(y + 1)*(y + 3)/5
Let d(v) be the first derivative of 0*v + 5/4*v**2 - 5/12*v**3 - 12. Factor d(k).
-5*k*(k - 2)/4
Let l = 39 - 30. Let t(v) = -v - 3. Let y be t(-7). Factor -9*b**3 + 4 - 3*b**4 - 6*b + 3*b - y - l*b**2.
-3*b*(b + 1)**3
Let a(m) be the third derivative of -m**9/100800 + m**8/33600 + 13*m**5/60 + 16*m**2. Let r(b) be the third derivative of a(b). Factor r(s).
-3*s**2*(s - 1)/5
Factor -46/3 - 44/3*m + 2/3*m**2.
2*(m - 23)*(m + 1)/3
Let u be (-32)/(-15) + 464/(-580). Factor -4/9*v**3 + 0 - u*v**2 - 8/9*v.
-4*v*(v + 1)*(v + 2)/9
Factor 16*p**2 - 18*p**2 + 7 + 6*p + 10*p**3 + 2*p**3 - 18*p - 5.
2*(p - 1)*(p + 1)*(6*p - 1)
Let w(b) be the second derivative of -b**8/1512 - b**7/315 - b**6/270 + 33*b**2/2 + 29*b. Let f(p) be the first derivative of w(p). Factor f(m).
-2*m**3*(m + 1)*(m + 2)/9
Let i(z) be the third derivative of z**5/60 - z**4/2 + 2*z**3/3 + 6*z**2. Let a be i(14). Solve 5*m**2 + 3 - 3*m + 9*m**3 + 18*m**3 - a*m**2 = 0.
-1/3, 1/3, 1
Solve 99/7*z**2 - 3/7*z**4 + 93/7*z - 96/7 - 93/7*z**3 = 0 for z.
-32, -1, 1
Let t(l) be the second derivative of -33*l + 1/70*l**7 + 1/50*l**6 - 1/5*l**4 - 9/50*l**5 + 4/5*l**3 + 0 + 0*l**2. Suppose t(q) = 0. Calculate q.
-2, 0, 1, 2
Let i(s) be the second derivative of -3*s**5/40 - 13*s**4/4 - 49*s**3/4 - 18*s**2 - 12*s + 7. Factor i(a).
-3*(a + 1)**2*(a + 24)/2
Let h(j) = -13*j**2 - 883*j - 32023. Let c(d) = -4*d**2 - 294*d - 10672. Let k(z) = -7*c(z) + 2*h(z). Solve k(i) = 0.
-73
Let y(i) = -32*i**4 + 60*i**3 + 32*i**2 - 48*i - 12. Let h(z) = -z**4 + 2*z**3 - z**2 + z - 1. Let p(n) = -4*h(n) + y(n). Determine b, given that p(b) = 0.
-1, -1/7, 1, 2
Suppose -3 = -4*v + 5. Factor 6*c**2 - 8*c**3 - 2 - 4*c**2 + 0*c**v + 8*c + 0*c.
-2*(c - 1)*(c + 1)*(4*c - 1)
Let i(c) = c**2 + 1. Let s = 13 + -19. Let z = -7 - s. Let b(x) = 6*x**2 + x + 5. Let m(d) = z*b(d) + 5*i(d). What is h in m(h) = 0?
-1, 0
Let c = 4759/10 + -729/2. Let o = 112 - c. Factor 3/5*i**2 - 3/5 + o*i - 3/5*i**3.
-3*(i - 1)**2*(i + 1)/5
Let l be -292*1/(-48) - 6. Let v(d) be the first derivative of -l*d**3 - 3/8*d**2 + 2 - 1/2*d. Let v(w) = 0. What is w?
-2, -1
Let g(b) be the third derivative of 7*b**6/480 + 25*b**5/48 + 101*b**4/96 - 17*b**3/24 - 631*b**2 + 2*b. Factor g(x).
(x + 1)*(x + 17)*(7*x - 1)/4
Let y(p) = 11*p**2 + 4*p - 9. Let z(c) be the second derivative of -15*c**4/4 - 5*c**3/2 + 35*c**2/2 - 31*c. Let a(k) = 25*y(k) + 6*z(k). Solve a(w) = 0.
-3, 1
Let s(u) be the first derivative of u**6/24 + 13*u**5/20 + 23*u**4/16 + 11*u**3/12 + 244. Factor s(d).
d**2*(d + 1)**2*(d + 11)/4
Let s(t) be the second derivative of t**4/36 + 2*t**3/3 - 15*t**2/2 + 560*t. Find i such that s(i) = 0.
-15, 3
Suppose -5*g - u = -20, 8*g - 7*g - 4 = 4*u. Factor 5*b**3 - b**3 + 5*b**5 - 8*b**4 + b**3 - 2*b**g.
5*b**3*(b - 1)**2
Let k(u) = 5*u**2 - 7*u + 2. Let y be 1 + 15/(-21) - (-57)/21. Let n(v) = -6*v**2 + 8*v - 2. Let t(o) = y*n(o) + 2*k(o). Factor t(a).
-2*(a - 1)*(4*a - 1)
Let t(o) be the third derivative of o**7/105 - o**6/20 - 3*o**5/10 + 9*o**4/4 - 7*o**2 - 32. Factor t(m).
2*m*(m - 3)**2*(m + 3)
Suppose 2 = c, -4*c - 9 + 3 = -y. Let a be (1/(y/4))/((-40)/(-60)). Solve 0 - 36/7*d**5 + 3/7*d**3 - 15/7*d**2 + 51/7*d**4 - a*d = 0.
-1/3, -1/4, 0, 1
Let y(m) = -69*m**2 - 880*m - 48413. Let x(a) = -32*a**2 - 440*a - 24206. Let c(f) = -13*x(f) + 6*y(f). Solve c(h) = 0 for h.
-110
Let j(o) be the first derivative of 0*o**2 - 1/30*o**4 + 16 + 0*o + 2/45*o**3. Find q, given that j(q) = 0.
0, 1
Let b(v) be the third derivative of -v**5/15 - 7*v**4/6 + v**2 - 4. Factor b(a).
-4*a*(a + 7)
Let c(l) be the first derivative of -4/3*l**2 + 5 + 2/9*l**3 + 2*l. Factor c(g).
2*(g - 3)*(g - 1)/3
Suppose 2*y + 27 = -2*h + 31, -5*h = -3*y + 6. Let a(n) be the first derivative of 1 + 2/21*n**3 - 4/7*n + 1/7*n**y. Factor a(i).
2*(i - 1)*(i + 2)/7
Let q = 5446/45 + -121. Let l(a) be the second derivative of 0*a**2 + 0*a**3 + a + 0 + 1/18*a**4 - q*a**6 + 0*a**5. Solve l(v) = 0.
-1, 0, 1
Let -2/5*y**5 + 0*y**3 + 4/5*y**2 + 2/5*y - 4/5*y**4 + 0 = 0. What is y?
-1, 0, 1
Suppose 1/5*l**3 - 1/5*l**4 - 4/5*l - 8/5 + 6/5*l**2 = 0. Calculate l.
-2, -1, 2
Suppose -50/19*y - 36/19 - 12/19*y**2 + 2/19*y**3 = 0. Calculate y.
-2, -1, 9
Factor -2/3*r**2 + 128/3*r - 2048/3.
-2*(r - 32)**2/3
Suppose 5*d = 15, -2*d = -5*y - 515 - 101. Let n = -850/7 - y. Factor -2/7 + 0*x**2 + n*x**3 - 4/7*x + 2/7*x**4.
2*(x - 1)*(x + 1)**3/7
Find n, given that -55/2*n + 65/2*n**2 - 25/2 + 15/2*n**3 = 0.
-5, -1/3, 1
