Calculate m.
0
Let l = 140 - 46. Suppose 0 = -2*x - 2*k + l, -79 - 157 = -5*x - 4*k. What is d in -10*d**4 - 10 - 100*d**2 - 6 - x*d - 24*d - 54*d**3 + 0*d**4 = 0?
-2, -1, -2/5
Factor -14*d - 2*d**5 + 4*d**5 - 4*d**4 + 10*d**2 - 4*d**3 + 6*d**2 + 2 + 2.
2*(d - 1)**4*(d + 2)
Suppose k + 8 = -2*y, 3*y = -5*k - 22 - 18. Let m = -8 - k. Solve 0*c + 9/4*c**4 + 3/2*c**3 + 1/4*c**2 + m = 0 for c.
-1/3, 0
Determine z so that -2/13*z**5 + 0*z**2 - 2/13*z + 4/13*z**3 + 0 + 0*z**4 = 0.
-1, 0, 1
Let b(d) = d - 3. Let y be b(6). Suppose o - y*o + 4 = 0. Factor 18*p**2 + 4 + o*p**4 - 3*p**3 + 13*p**3 + 7*p + 7*p.
2*(p + 1)**3*(p + 2)
Let y(n) be the second derivative of 0 + 0*n**2 + 1/60*n**5 - 2*n + 1/2*n**3 - 1/180*n**6 + 1/6*n**4. Let l(v) be the second derivative of y(v). Factor l(q).
-2*(q - 2)*(q + 1)
Let f(v) be the first derivative of 0*v**5 + 0*v + 0*v**3 + 1/24*v**6 + 3 - 1/16*v**4 + 0*v**2. Factor f(g).
g**3*(g - 1)*(g + 1)/4
Let w be (-4)/(-5)*(-1802)/8. Let y = w - -181. Let -2/5*k - y*k**2 - 2/5*k**3 + 0 = 0. Calculate k.
-1, 0
Factor -w - w**2 + 5*w + w**4 + w**3 - 5*w.
w*(w - 1)*(w + 1)**2
Suppose -2*n + 26 = 4*h, 0 = -n - 3*n + 20. Factor -2*r**2 - 8*r - 12 + 0*r + h.
-2*(r + 2)**2
Let q(l) be the first derivative of -2/3*l**3 + 0*l + 1/4*l**4 + 0*l**2 + 5. Factor q(u).
u**2*(u - 2)
Let q(i) = i**2 - i. Let c(z) = -6*z**2 + 6. Let l = 14 - 13. Let g(y) = l*c(y) - 15*q(y). Factor g(u).
-3*(u - 1)*(7*u + 2)
Let v(w) be the second derivative of -w**4/12 - 2*w**3/3 - w**2/2 - 2*w. Let c(q) = 2*q**2 + 5*q + 2. Let b(n) = 2*c(n) + 3*v(n). Let b(m) = 0. Calculate m.
1
Let a(s) = 6*s**2 - 2*s + 5. Let x(v) = v**3 - 11*v**2 + 3*v - 9. Let h(t) = -7*a(t) - 4*x(t). Let y be h(-1). Factor 9*n**4 - 2*n**y - 7*n**4 - n**3 + n**5.
-n**3*(n - 1)**2
Let d(k) = -100*k**4 - 55*k**3 + 45*k**2 + 55. Let l(r) = 11*r**4 + 6*r**3 - 5*r**2 - 6. Let i(f) = -6*d(f) - 55*l(f). Determine p, given that i(p) = 0.
-1, 0, 1
Suppose 10 = -4*a - 2*x + 36, -2*a + 28 = 4*x. Suppose -5*w = 5*v - 30, 4*w - 15 = a*v + 1. Suppose 4*r - 6*r**2 - 2*r**2 + 0*r**2 - w*r**3 = 0. What is r?
-2, 0, 2/5
Let v = 0 - -5. Let r = 0 + v. Factor 2*b**r + 3*b**2 - 2*b**4 + b**2 - 2*b - 2*b**4.
2*b*(b - 1)**3*(b + 1)
Let v(b) be the second derivative of -2*b**6/75 + b**4/15 - 6*b. Find z, given that v(z) = 0.
-1, 0, 1
Suppose -d - 5*t = -26, 4*t - 3*t + 14 = 3*d. Let 4 + d*y + 3*y**2 + 1/2*y**3 = 0. What is y?
-2
Let t = 1 - 1. Let c = t - -2. Factor -1/3*j**c + 2/3*j - 1/3.
-(j - 1)**2/3
Let o(t) = -6*t**4 - 8*t**2 - 8. Let y(j) = 4*j**4 + 5*j**2 + 5. Let l(r) = -5*o(r) - 8*y(r). Factor l(q).
-2*q**4
Let s = -5/56 - -3/8. Factor -4/7*d + 0 + s*d**2.
2*d*(d - 2)/7
Let d(k) = 3*k**2 - 13*k + 3. Let j(r) be the second derivative of -r**4/12 + 2*r**3/3 - r**2/2 - 3*r. Let t(u) = -6*d(u) - 21*j(u). What is z in t(z) = 0?
1
Let g = -83 - -86. Let -1/2 - 1/2*j**g - 3/2*j**2 - 3/2*j = 0. What is j?
-1
Let f = 205 + -203. Find l such that -1/6*l**f + 1/6 + 0*l = 0.
-1, 1
Factor 0 - 3/2*k**4 - 3/2*k**2 + 0*k + 3*k**3.
-3*k**2*(k - 1)**2/2
Let a be (1/2)/(1/(-8)). Let h be 90/21 - a/(-14). Factor -6 - 4*f**2 + f - 4*f + 3*f**2 + h*f**2.
3*(f - 2)*(f + 1)
Let w(m) = -m**3 + 2*m**2 + 5*m - 4. Suppose 0 = 4*h + 2*r - 12, -3 = -h + r - 4*r. Let s be w(h). Factor -s*f + f + 0*f**2 - f**2.
-f*(f + 1)
Let w(n) = -n**4 - n**2. Let u(h) = 40*h**3 + 128*h**2 + 160*h + 64. Let s(j) = u(j) - 4*w(j). Find f such that s(f) = 0.
-4, -1
Let c(i) be the third derivative of 2*i**2 + 0*i**3 + 0*i + 1/120*i**5 + 0*i**4 + 0. Factor c(j).
j**2/2
Let g(x) = x**2 + 3*x - 7. Let v be g(7). Let p be (-19)/(-45) - 14/v. Factor 2/5*y**2 + 1/5*y**3 + 0 + p*y.
y*(y + 1)**2/5
Let f(p) be the first derivative of -1/30*p**5 - 1/18*p**3 - 6 + 0*p - 1/12*p**4 + 0*p**2. Factor f(h).
-h**2*(h + 1)**2/6
Factor 1/3*n**2 - 2/3*n + 1/3.
(n - 1)**2/3
Suppose 0 = -r + 2*y + 18, 3*y = -4*r - 2*y + 59. Determine k so that r*k - 19*k - k**5 + 6*k**2 - 3*k**4 - 2*k**5 - 3 + 6*k**3 = 0.
-1, 1
Suppose 6*y - 2*y + 3*w = 28, 2*w - 8 = 0. Factor -4/5*z + 0*z**3 + 0 - 6/5*z**2 + 2/5*z**y.
2*z*(z - 2)*(z + 1)**2/5
Let x(y) be the first derivative of 5*y**3/3 - 15*y**2/2 - 20*y - 20. What is z in x(z) = 0?
-1, 4
Let l = -1/11 + 14/33. Let -2/3*v - 1/3*v**2 + 0 + l*v**3 = 0. Calculate v.
-1, 0, 2
Let h = 164 - 164. Factor 18/7*n**4 + 2/7*n**2 + h - 12/7*n**3 + 0*n - 8/7*n**5.
-2*n**2*(n - 1)**2*(4*n - 1)/7
Suppose -31 = 4*t + 1. Let v = t + 10. Let 0 - 2/5*w**3 + 2/5*w**v + 0*w = 0. What is w?
0, 1
Let r(o) be the second derivative of o**4/4 - o**3 + 3*o**2/2 + 7*o. What is b in r(b) = 0?
1
Let v(r) be the third derivative of -r**7/150 + 2*r**6/75 - r**5/75 - 18*r**2. Let v(n) = 0. Calculate n.
0, 2/7, 2
Let f(x) be the third derivative of 0*x + 1/210*x**5 + x**2 - 1/21*x**3 + 1/420*x**6 + 0 - 1/84*x**4. Factor f(a).
2*(a - 1)*(a + 1)**2/7
Suppose 5*a - 12 = -2. Let m = -316/5 - -66. Factor 14/5*f**3 - 4/5 - m*f + 4/5*f**a.
2*(f - 1)*(f + 1)*(7*f + 2)/5
Suppose 0 + 6/5*f**2 + 3/5*f**3 + 3/5*f = 0. Calculate f.
-1, 0
Let v be (-3 + 6)*5/90. Let n(c) be the third derivative of -1/10*c**5 + 0*c**3 + 0 + 0*c + 1/35*c**7 - v*c**4 + 1/30*c**6 - c**2. What is j in n(j) = 0?
-1, -2/3, 0, 1
Let p(a) = a + 10. Let u be p(-10). Let b(j) be the second derivative of 0 + 0*j**5 + 1/24*j**4 + 1/168*j**7 + u*j**2 - 1/60*j**6 - j - 1/24*j**3. Factor b(g).
g*(g - 1)**3*(g + 1)/4
What is u in -18*u**2 + u**3 + 3*u**3 + 20*u - 4*u**2 + 200 - 10*u**2 = 0?
-2, 5
Let r(v) be the third derivative of -v**8/504 + 2*v**7/315 + v**6/90 - 2*v**5/45 - v**4/36 + 2*v**3/9 + 11*v**2. Determine m, given that r(m) = 0.
-1, 1, 2
Let w(x) be the third derivative of 1/60*x**5 + 0*x - 1/24*x**4 + 0 + 0*x**3 + 7*x**2. Factor w(f).
f*(f - 1)
Let a = 99 - 96. Factor 0 + 0*p + 1/4*p**a + 0*p**2.
p**3/4
Factor i + 1 + 1/4*i**2.
(i + 2)**2/4
Let v(d) be the first derivative of -2*d**6/21 - 8*d**5/35 + 8*d**3/21 + 2*d**2/7 - 5. Suppose v(a) = 0. What is a?
-1, 0, 1
Let j = -5 - -9. Suppose 3*r = -j*y - y + 6, y + r = 0. Factor 2/5*n**4 + 2/5 + 8/5*n**y + 8/5*n + 12/5*n**2.
2*(n + 1)**4/5
Factor -4*m - 3*m - m**3 + 3*m + 4*m**2.
-m*(m - 2)**2
Factor 18 - 4*b**2 - 2 + 2*b**2 + 0 + 14*b.
-2*(b - 8)*(b + 1)
Factor 39*t**2 - 16*t + 15*t**3 + t - 19*t**2 - 5 - 15*t**2.
5*(t - 1)*(t + 1)*(3*t + 1)
Let l(b) be the first derivative of -2*b**5/75 + b**4/15 + 2*b**3/15 - 8*b**2/15 + 8*b/15 - 37. Find h, given that l(h) = 0.
-2, 1, 2
Let m be (-2)/9 - 58/(-18). Determine g, given that -5*g + 11*g - 2*g**m - 4*g - 2*g**2 + 2*g**4 = 0.
-1, 0, 1
Let d = 7 + 1. Find w, given that -8*w**3 + 6*w + 2*w - 4*w**2 - 2*w**4 - 2*w**2 + d = 0.
-2, -1, 1
Let o(y) be the third derivative of -y**6/60 - y**5/10 + 4*y**3/3 - 12*y**2. Suppose o(r) = 0. What is r?
-2, 1
Factor -2*z**2 - 3*z**2 - 2 - 5 - 13 - 25*z.
-5*(z + 1)*(z + 4)
What is w in 0*w + 3/7*w**3 - 6/7*w**4 + 3/7*w**5 + 0 + 0*w**2 = 0?
0, 1
Let q(p) be the first derivative of p**4/16 + 5*p**3/12 + p**2 + p - 13. Factor q(u).
(u + 1)*(u + 2)**2/4
Let w(g) = 5*g**3 - 3*g**2 - g - 5. Let j = -24 - -23. Let n(z) = -z**3 + z**2 + 1. Let i(f) = j*w(f) - 4*n(f). Factor i(q).
-(q - 1)*(q + 1)**2
Let m(j) be the second derivative of 0 + j - j**2 + 2/3*j**3 + 0*j**4 + 1/15*j**6 - 1/5*j**5. Factor m(x).
2*(x - 1)**3*(x + 1)
Let f(t) be the first derivative of -2*t**5/35 + 4*t**4/7 - 10*t**3/7 - 8*t**2/7 + 32*t/7 + 5. What is z in f(z) = 0?
-1, 1, 4
Let z = 17 + -14. Let l(h) be the second derivative of -h + 1/54*h**4 + 0 + 1/27*h**z + 0*h**2. Determine d so that l(d) = 0.
-1, 0
Let q(i) be the second derivative of 2*i**6/15 + 12*i**5/5 + 18*i**4 + 72*i**3 + 162*i**2 - 4*i. Factor q(m).
4*(m + 3)**4
Let r(o) = -o**4 + o**2 + o - 1. Let j(g) = 5*g**4 + 4*g**3 - 4*g + 4. Let w(n) = 3*j(n) + 12*r(n). Factor w(q).
3*q**2*(q + 2)**2
Let x(w) be the second derivative of w**7/1260 + w**6/90 + w**5/15 - 5*w**4/12 - 4*w. Let m(p) be the third derivative of x(p). Factor m(b).
2*(b + 2)**2
Suppose 12 = 4*x + 4. What is a in 2 - 7*a**2 - 9*a**3 - a**3 + x - 3*a + 7*a - 3*a**4 = 0?
-2, -1, 2/3
Let r(f) be the first derivative of -f**6/120 + f**5/30 - f**4/24 + f**2 + 2. Let y(i) be the second derivative of r(i). Determine h so that y(h) = 0.
0, 1
Let p(q) be the second derivative of q**8/1176