 10*m - 2*i, -5*m - 2*i = -o. Factor 0 + 1/6*r**3 - 1/6*r + 0*r**m.
r*(r - 1)*(r + 1)/6
Let z(l) be the second derivative of -2/21*l**3 - 11*l - 1/42*l**4 + 1/35*l**5 + 0 + 1/105*l**6 + 0*l**2. Suppose z(x) = 0. Calculate x.
-2, -1, 0, 1
Let n(m) be the first derivative of 12/5*m**5 - 6*m**4 - 3*m**3 + 15/2*m**2 - 10 + 6*m. Factor n(c).
3*(c - 2)*(c - 1)*(2*c + 1)**2
Let z(l) = 2*l**2 + 306*l + 11238. Let i(b) = -b + 2. Let v(k) = -6*i(k) - z(k). Factor v(m).
-2*(m + 75)**2
Let a(t) = 7*t**2 - 6*t - 5. Let j(p) = 13*p**2 - 11*p - 9. Let f(q) = 11*a(q) - 6*j(q). Let r(l) = -2*l**2 - 20*l + 3. Let s(g) = -3*f(g) - r(g). Factor s(w).
5*w*(w + 4)
Let i(f) be the second derivative of 1/6*f**3 - 5*f - 7/2*f**2 - 2/15*f**5 + 0 - 7/24*f**4. Let z(l) be the first derivative of i(l). Factor z(c).
-(c + 1)*(8*c - 1)
Determine f, given that 72/11*f**2 - 2/11*f - 72/11 + 2/11*f**3 = 0.
-36, -1, 1
Let g(d) be the third derivative of 1/30*d**6 + 0*d**3 + 0 - 9*d**2 + 0*d**4 + 0*d - 1/15*d**5. Factor g(z).
4*z**2*(z - 1)
Let z = 85 + -83. Let t be 12/(-8) - (-622)/52 - z. Suppose 192/13*l**2 - 32/13 - t*l**4 - 64/13*l - 42/13*l**5 + 56/13*l**3 = 0. Calculate l.
-2, -2/7, 2/3, 1
Let z(y) be the first derivative of 2*y + 1/2*y**4 + 18 - y**2 - 2/3*y**3. Suppose z(o) = 0. What is o?
-1, 1
Let x be -10*(-1)/2 - -1. Suppose -21*g**2 + 5*g**4 - 21*g**4 + x*g + 21*g**3 + 6*g**4 + 4*g**4 = 0. What is g?
0, 1/2, 1, 2
Suppose 0 = -5*b - 11 + 31. Factor 3*t**2 - 2*t + t**4 + 4*t**2 - 3*t**2 - b*t**3 + t**2.
t*(t - 2)*(t - 1)**2
Let j = 413942/2755 - -82/551. Solve 256/5*v**2 + 0 - j*v**3 + 192*v**4 - 32/5*v - 90*v**5 = 0.
0, 2/5, 2/3
Let j(b) be the second derivative of -2/33*b**3 + 1/110*b**5 + 0*b**2 + 0 - 13*b + 1/66*b**4. Factor j(r).
2*r*(r - 1)*(r + 2)/11
Let a(b) = -3*b + 8. Let k be a(3). Let f(h) = -h**4 - h**3 - h**2 - h. Let c(x) = -10*x**4 + 18*x**3 - 26*x**2 - 6*x. Let j(t) = k*c(t) + 6*f(t). Factor j(p).
4*p**2*(p - 5)*(p - 1)
Let -2*c**2 - 14*c - 2*c**3 + 15*c**3 + 8 + 64*c**4 - 71*c**4 + c**5 + c**2 = 0. What is c?
-1, 1, 2, 4
Let o(t) = 16*t**3 - 40*t**2 - 100*t + 4. Let i be -4 + -3*(-4 + 9/3). Let h(x) = x**2 - x + 1. Let q(y) = i*o(y) + 24*h(y). Factor q(u).
-4*(u - 5)*(2*u + 1)**2
Let g(w) be the first derivative of -w**6/600 - w**5/200 + w**4/20 + 5*w**3/3 - 16. Let z(j) be the third derivative of g(j). Find d, given that z(d) = 0.
-2, 1
Suppose 2*d + 5*b = 2*b - 8, -3*d - b + 2 = 0. Let p = 86/5 - 17. Factor 0*c + p*c**d - 1/5.
(c - 1)*(c + 1)/5
Suppose 10*s - 11*s = -2. Factor 8*u**s + 45*u - 26*u - 25*u - 2*u**3.
-2*u*(u - 3)*(u - 1)
Determine d so that 1/4*d**4 + 0*d + 1/2*d**3 + 0 - 3/4*d**2 = 0.
-3, 0, 1
Factor 20 - 34*l + 9*l**2 - 12*l**2 + 28 + 5*l**2 - 16.
2*(l - 16)*(l - 1)
Let t be 1 + -1 - (-1 + 7/(-1)). Let u(l) be the second derivative of 5/24*l**4 + 0*l**2 + 0 - 1/16*l**5 - t*l - 5/24*l**3. Let u(m) = 0. Calculate m.
0, 1
Let u = 5809/8 - 726. Let r(x) be the second derivative of 1/3*x**3 - 1/20*x**5 + 4*x + 0 - u*x**4 + x**2 + 1/60*x**6. Suppose r(o) = 0. What is o?
-1, 2
Let b(z) = -z**2 + 2*z**2 + 14 - 15. Let u be b(2). Factor 24*w - 24*w + 5*w**5 - 2*w**5 + u*w**4.
3*w**4*(w + 1)
Suppose 6 = -2*j, l = -4*l - j + 367. Factor 25*x - 66*x**2 + 245*x**4 + 20*x**2 - 5*x - l*x**2 + 105*x**3.
5*x*(x + 1)*(7*x - 2)**2
Let l be -5 - ((-61)/(-5) + 0)/(-1). Factor 6/5*u - 2/5*u**3 + l - 8/5*u**2.
-2*(u - 2)*(u + 3)**2/5
Let w(l) be the first derivative of 2*l**5/25 + l**4/2 + 16*l**3/15 + 4*l**2/5 + 17. Factor w(k).
2*k*(k + 1)*(k + 2)**2/5
Let d(c) be the first derivative of c**4/48 - c**3/6 + 3*c**2/8 + 6*c + 3. Let x(k) be the first derivative of d(k). Factor x(o).
(o - 3)*(o - 1)/4
Let t(r) = -8*r**3 - 60*r**2 - 3*r. Let l(q) = 9*q**3 + 60*q**2 + 4*q. Let f(p) = -3*l(p) - 4*t(p). Factor f(j).
5*j**2*(j + 12)
Let g(m) be the first derivative of 0*m + 0*m**2 + 4/3*m**3 - 2/5*m**5 - 14 + 1/2*m**4. Factor g(d).
-2*d**2*(d - 2)*(d + 1)
Factor 24/7 - 4/7*i**2 - 4/7*i.
-4*(i - 2)*(i + 3)/7
Suppose -2 = 2*a + 2*w, 12 = -a - a + 3*w. Let x(q) = -5*q**2 - 2*q + 33. Let i(g) = 15*g**2 + 7*g - 98. Let h(p) = a*i(p) - 8*x(p). Factor h(k).
-5*(k - 2)*(k + 3)
Let g(c) be the third derivative of c**8/25200 + c**7/700 + c**5/60 + 40*c**2. Let z(j) be the third derivative of g(j). Factor z(v).
4*v*(v + 9)/5
Solve 135 + 67 + 40*a + 10*a**2 - 2 - 8*a**2 = 0 for a.
-10
Let i(q) be the first derivative of -q**4/2 + 32*q**3/3 - 29*q**2/2 - 13*q - 14. Let w be i(15). Factor 2/7*n**w + 4/7*n + 2/7.
2*(n + 1)**2/7
Let u(p) = 9*p**3 + 11*p**2 + 2*p - 4. Let c(m) = -2*m - 10*m - 3*m + 27 - 78*m**2 - 4*m**3 - 59*m**3. Let f(d) = -4*c(d) - 27*u(d). Find k such that f(k) = 0.
-1, -2/3, 0
Let a(o) be the third derivative of o**6/1800 - o**5/60 + 5*o**4/24 - 3*o**3/2 - 11*o**2. Let c(p) be the first derivative of a(p). Factor c(t).
(t - 5)**2/5
Let b(w) = -w + 9. Let y be b(7). Suppose 4*t - 2 = 6. Factor 2*v**3 - t*v**y + 4*v**2 + 2*v**3 - 6*v**3.
-2*v**2*(v - 1)
Let b(f) = -3*f**2 - 231*f + 1233. Let k be b(-82). Determine q, given that 0*q + 24/5*q**2 - 52/5*q**k + 0 - 4*q**4 = 0.
-3, 0, 2/5
Let p(k) be the third derivative of k**8/224 - 19*k**7/140 + 99*k**6/80 - 81*k**5/40 - 19*k**2 + 4. Find v such that p(v) = 0.
0, 1, 9
Let j(h) be the first derivative of 8/21*h**3 + 6 + 0*h + 1/7*h**4 - 6/7*h**2. Factor j(l).
4*l*(l - 1)*(l + 3)/7
Let g(h) = 5*h**2 + h - 1. Let y be g(-1). Solve 8*m**3 - 13 + 2*m**y + 15*m**2 - 7 - 5*m**3 = 0.
-2, 1
Find m such that 908*m + 5*m**5 - 1099*m**3 - 7*m**5 - 686*m**2 + 670*m**4 - 3*m**5 - 20*m**5 - 200 = 0.
-1, 2/5, 2, 25
Let b(w) = -12*w - 16. Let l be b(5). Let x be (l/28 - -3)*21/15. Factor -6/5*q**3 + 4/5*q - x*q**2 + 0.
-2*q*(q + 1)*(3*q - 2)/5
Let f(q) be the second derivative of -q**6/180 - q**5/30 - 8*q**3/3 + 17*q. Let b(n) be the second derivative of f(n). Factor b(i).
-2*i*(i + 2)
Let p(z) = 13*z - 24. Let y be p(-8). Let o = -126 - y. What is k in 0 + 10/13*k**3 + 4/13*k + 14/13*k**o = 0?
-1, -2/5, 0
Solve -10*r - 38*r - 4*r**2 - 69 + 121 = 0.
-13, 1
Let a = -23248/19 - -1224. Factor 6/19*q**2 - 8/19 + a*q.
2*(q + 2)*(3*q - 2)/19
Let k be (14/(-98))/((-4)/14). Let w(h) be the first derivative of -1/5*h**5 - k*h**2 - h**3 - 1 + 0*h - 3/4*h**4. Determine b, given that w(b) = 0.
-1, 0
Factor 1/2*n**4 + 1/2*n**3 - 2*n - 3*n**2 + 4.
(n - 2)*(n - 1)*(n + 2)**2/2
Suppose -256*h - 294 = -318*h - 85*h. What is f in -3/8*f**3 + 0 - 54*f - 9*f**h = 0?
-12, 0
Let b be ((-4)/3)/(16/(-24)). Let l(m) be the first derivative of -3 + 6 + 1 - m**3 - 3*m**b - 3*m. Solve l(t) = 0.
-1
Let n = -294/83 - -40997/10707. Let g = 2/43 + n. Suppose 1/6*c**2 - 1/2*c + g = 0. What is c?
1, 2
Let z(i) be the second derivative of -i**6/2340 - i**5/260 + i**4/39 + 14*i**3/3 + 20*i. Let v(j) be the second derivative of z(j). Factor v(k).
-2*(k - 1)*(k + 4)/13
Solve 0*b + 0 + 1/5*b**4 + 4/5*b**2 + 4/5*b**3 = 0 for b.
-2, 0
Suppose -i**2 - 267 + 3*i**2 - 3*i + 261 - i = 0. What is i?
-1, 3
Suppose 0*j = w + 3*j - 7, 0 = -5*w - j + 49. Factor -14*n - w*n**2 + 18*n**2 - 7*n**2 + 49.
(n - 7)**2
Let a(b) be the first derivative of -b**4 - 8*b**3 - 91. Solve a(t) = 0 for t.
-6, 0
Let k be (2/7)/((-5)/(-70)). Let -5*r**2 + 4*r**2 - 3*r**2 + k*r**4 = 0. Calculate r.
-1, 0, 1
Let a(t) = 6*t**3 - 2*t**2 - 54*t - 10. Let k(p) = 7*p**3 - p**2 - 53*p - 11. Let v(q) = -5*a(q) + 6*k(q). Suppose v(r) = 0. What is r?
-2, -1/3, 2
Let w = 48 - 45. Let n(m) be the third derivative of 1/72*m**4 + 0 - 4*m**2 + 0*m**w + 1/360*m**5 + 0*m. Find r, given that n(r) = 0.
-2, 0
Let g = -9289/2 - -4652. What is o in -27/2*o - g*o**2 - 135/2*o**4 + 3 + 171/2*o**3 = 0?
-2/5, 1/3, 1
Let g(x) be the first derivative of -x**8/315 - x**7/126 + 7*x**6/270 + x**5/45 - x**3/3 - 16. Let m(t) be the third derivative of g(t). Solve m(n) = 0.
-2, -1/4, 0, 1
Let b(f) = 54*f**3 + 4*f**2 + 3*f - 3. Let s be b(-2). Let q = -1673/4 - s. What is d in -q*d**3 - 15/4*d**2 - 3/2 + 27/4*d + 21/4*d**4 = 0?
-1, 2/7, 1
Suppose -2*u = -0*u - 4. Factor -4*t**u + 57*t + 2 - 81*t - 2*t**3 - 8*t**2 - 18.
-2*(t + 2)**3
Let i(w) = -w**2 + 12*w - 11. Let a be i(10). Find m such that -1 - 4*m**2 + a + 8 + 0*m**2 + 12*m = 0.
-1, 4
Let v(p) be the third derivative of -p**5/6 + p**4/12 + 7*p**2 - 3*p. Factor v(i).
-