) = m - 10. Let h be n(9). Let j(k) = 2*k**2. Let p be j(h). Let 4*c - 3*c - c + c**p = 0. Calculate c.
0
Let v be 8/(-56)*(0 + (2 - 4)). Factor -v*g**2 + 0 + 0*g.
-2*g**2/7
Let h(v) be the third derivative of -v**7/210 - v**6/60 + v**5/60 + v**4/12 + v**2. Factor h(d).
-d*(d - 1)*(d + 1)*(d + 2)
Let i(f) = -9*f**2 - 25*f - 22. Let q(l) = 2*l**2 + 1. Let b(m) = i(m) + 2*q(m). Determine r so that b(r) = 0.
-4, -1
Solve 0*q + 2*q**2 + 4 + 6*q + 2*q + 2 = 0.
-3, -1
Let a(k) = k**4 + k**3 - 1. Let u(o) = 14*o**4 - 2*o**3 - 4*o**2 + 12*o - 10. Let h(g) = 10*a(g) - u(g). Solve h(m) = 0 for m.
-1, 0, 1, 3
Let f = -28 - -17. Let d = f - -11. Factor d*k**4 + 0*k**2 - 1/4*k**5 + 0 - 1/4*k + 1/2*k**3.
-k*(k - 1)**2*(k + 1)**2/4
Let q(r) = r. Let a be q(-2). Let h be 2*((-4)/2)/a. Factor 0*l**3 + 0*l - 9*l**h + 8*l - l**3 - 27 - 35*l.
-(l + 3)**3
Let f(p) be the third derivative of p**7/840 + p**6/480 - p**5/240 - p**4/96 - 10*p**2. Factor f(v).
v*(v - 1)*(v + 1)**2/4
Let b(q) be the first derivative of 0*q - 2 - 27/8*q**4 - q**3 + 0*q**2 - 21/10*q**5. Suppose b(u) = 0. Calculate u.
-1, -2/7, 0
Let l(c) be the first derivative of 5*c**6/6 + 3*c**5/5 - c**4/2 + 16. Factor l(b).
b**3*(b + 1)*(5*b - 2)
Let q(f) be the third derivative of f**8/168 - f**7/105 - f**6/60 + f**5/30 + 10*f**2. Factor q(z).
2*z**2*(z - 1)**2*(z + 1)
Let l(q) = -q - 4. Suppose 22 = 3*c - 5*c - 2*a, 2*a + 42 = -4*c. Let w be l(c). Solve -4/3 - 2/3*n**2 - 6*n**4 - w*n + 14*n**3 = 0.
-1/3, 1, 2
Suppose 10*k = 9*k - 5*n + 17, -5*k + 3*n + 1 = 0. Factor 1/4*w + 31/4*w**3 - 19/4*w**4 + 1/2 - 19/4*w**k + w**5.
(w - 2)*(w - 1)**3*(4*w + 1)/4
Let b(x) = x - 1. Let u(w) = -2*w**3 + 8*w**2 - 10*w + 2. Let f = -2 - 0. Let l(n) = f*u(n) - 4*b(n). Factor l(p).
4*p*(p - 2)**2
Let f(t) be the second derivative of t**4/2 - 2*t**3/3 + 3*t. What is a in f(a) = 0?
0, 2/3
Let p(z) be the first derivative of -z**6/24 + z**5/4 - z**4/2 + z**3/3 + 1. Factor p(x).
-x**2*(x - 2)**2*(x - 1)/4
Let u(v) be the second derivative of 7*v**6/660 + 3*v**5/110 + v**4/66 - 3*v**2/2 - v. Let m(o) be the first derivative of u(o). Let m(p) = 0. What is p?
-1, -2/7, 0
Suppose 0 = 3*q + q - 12. Factor -o + 2*o**q + 2*o**2 + 5*o + 2*o**2 - 2*o.
2*o*(o + 1)**2
Suppose -5*q = -2*q, 0 = -2*r - 2*q. Suppose 4*v + v - 10 = r. Solve 0 - 4/9*c**4 + 2/3*c**3 - 2/9*c + 0*c**v = 0 for c.
-1/2, 0, 1
Determine v, given that -v + v**2 + 5*v**2 + 3*v**2 - 10*v**2 + 2 = 0.
-2, 1
Factor -2*n**2 + 2*n**4 + 6*n + 0*n**2 - 2 - 6*n**3 + 2.
2*n*(n - 3)*(n - 1)*(n + 1)
Let y(k) = k**3 - 5*k**2 + 4*k + 4. Let h be y(4). Let j = 6 - h. Let -3 + p**3 + 0 + 3 - p**j = 0. Calculate p.
0, 1
What is j in 0*j + j**2 - 2*j**3 + 0 - 11/4*j**4 + 15/4*j**5 = 0?
-2/3, 0, 2/5, 1
Suppose 12 + 4 = 8*w. Let f(z) be the second derivative of 0 + 0*z**3 + 3/10*z**w - 1/20*z**4 - 3*z. Factor f(s).
-3*(s - 1)*(s + 1)/5
Let j(d) be the first derivative of 1/4*d**4 - 2 + 0*d**2 + 1/3*d**3 + 0*d. Find p, given that j(p) = 0.
-1, 0
Suppose 0 = -3*n - 0*k - k + 14, -4*k = n - 23. Factor -1/3*j**4 - 1/3*j**n + 0 + 1/3*j + 1/3*j**2.
-j*(j - 1)*(j + 1)**2/3
Let t(m) be the second derivative of 0 + 10*m + 1/2*m**3 - 5/4*m**4 + 99/80*m**5 + 0*m**2 - 11/20*m**6 + 5/56*m**7. Find x such that t(x) = 0.
0, 2/5, 1, 2
Let v(i) = -i**3 + i - 13. Let w be v(0). Let t = w - -18. Suppose 6*x**4 + 0*x + 0 + x**2 - 2*x**t - 9/2*x**3 = 0. Calculate x.
0, 1/2, 2
Let v(w) = 480*w - 11 + 42 + 32 + 552*w**2 + 135*w**3. Let u(d) = -17*d**3 - 69*d**2 - 60*d - 8. Let t(f) = -33*u(f) - 4*v(f). Factor t(b).
3*(b + 1)*(b + 2)*(7*b + 2)
Suppose -5*x + 24 + 28 = -4*j, 3*x + 2*j = 18. Determine y, given that 10*y**4 - 2*y**2 - 2*y**5 + 0*y**5 + 14*y + 2*y - x - 14*y**3 = 0.
-1, 1, 2
Let g(u) be the first derivative of -3/32*u**4 + 3/40*u**5 + 0*u + 10 - 1/8*u**3 + 3/16*u**2. Determine w, given that g(w) = 0.
-1, 0, 1
Let b(f) be the second derivative of f**5/120 - f**4/24 + 32*f. Solve b(v) = 0 for v.
0, 3
Let n(w) = 0*w**2 + 2 + w - 1 + 0 + w**2. Let x(d) = -d**2 - 4*d + 4. Let c be x(-5). Let u(a) = -4*a**2 - 2. Let b(g) = c*u(g) - 2*n(g). Factor b(v).
2*v*(v - 1)
Factor -6/5*y**3 + 0*y + 0 + 8/5*y**4 - 2/5*y**2.
2*y**2*(y - 1)*(4*y + 1)/5
Let r = 2947/9 + -327. Let w be (2 + 32/(-18))*1. Solve w*f + 2/9*f**2 - r = 0.
-2, 1
Factor 65*v - 39/2*v**3 + 109/4*v**2 + 25 + 9/4*v**4.
(v - 5)**2*(3*v + 2)**2/4
Let n(m) be the first derivative of -m**8/7560 + m**7/756 - m**6/540 - m**5/60 + m**3 - 2. Let f(t) be the third derivative of n(t). Solve f(p) = 0 for p.
-1, 0, 3
Factor 2/9*t**4 + 8/9*t - 8/9 + 2/3*t**2 - 8/9*t**3.
2*(t - 2)**2*(t - 1)*(t + 1)/9
Let c = -4 - -9. Let y(i) = 9*i**2 + 3*i + 4. Let b(u) = 13*u**2 + 5*u + 6. Let g(s) = c*b(s) - 7*y(s). Let g(k) = 0. What is k?
-1
Let h(l) be the first derivative of -l**8/168 - 2*l**7/105 + l**5/15 + l**4/12 - l**2/2 + 2. Let j(r) be the second derivative of h(r). Factor j(c).
-2*c*(c - 1)*(c + 1)**3
Suppose 0 = -3*o + 11 - 2. Suppose o*f - 1 = 8. Factor 4*s**3 - 2*s**3 - 5*s**3 + 2*s**4 + f*s**5 - 2*s**2.
s**2*(s - 1)*(s + 1)*(3*s + 2)
Let w be (-63)/(-12) - 3/4. Factor 3/2*i**2 + 3 - w*i.
3*(i - 2)*(i - 1)/2
Let q = 151/6 - 25. Suppose 0*m + 0*m**3 + 1/6*m**4 + q*m**5 + 0*m**2 + 0 = 0. What is m?
-1, 0
Factor 2/5*u**4 + 0 + 16/5*u**2 - 32/5*u + 14/5*u**3.
2*u*(u - 1)*(u + 4)**2/5
Let j = -34 - -12. Let g(t) = -t**4 + 2*t**3 - 13*t + 1. Let u(q) = -q. Let d(h) = j*u(h) + 2*g(h). What is z in d(z) = 0?
-1, 1
Let j(x) be the third derivative of x**5/12 - 5*x**4/12 - 5*x**3/2 - 43*x**2. Factor j(y).
5*(y - 3)*(y + 1)
Let t = 3 - -1. Let c(a) = -a**3 + 5*a**2 - 5*a + 6. Let p be c(t). Factor 2*j**p - 5 + 1 + 2.
2*(j - 1)*(j + 1)
Suppose -3 = -3*g, -2*f + g = -3*f + 15. Let x(b) = -b + 16. Let i be x(f). Find h, given that 7/2*h**3 + 34*h - 245/2*h**4 + 4 + 81*h**i = 0.
-2/5, -2/7, 1
Let m be -3 + 9 + 2 + -4. Factor 0*h**2 - 2/3*h**3 - 1/3*h**m + 0 + 0*h.
-h**3*(h + 2)/3
Let m(f) be the second derivative of 11/3*f**3 - 10*f + 0 + 2/5*f**6 + 2*f**4 - 6*f**2 - 23/10*f**5. Determine l so that m(l) = 0.
-2/3, 1/2, 1, 3
Let y = -1 - -1. Factor 2 - 2 + y - 4*l**2 - 12*l.
-4*l*(l + 3)
Let o(a) be the first derivative of -a**4 - 64*a**3/3 + 42. Factor o(v).
-4*v**2*(v + 16)
Let q(v) be the second derivative of -1/2*v**2 + 1/4*v**3 - 1/24*v**4 + 4*v + 0. Factor q(z).
-(z - 2)*(z - 1)/2
Suppose 6*t - 3*t - 12 = 0. Let o = -4 + t. Factor o*z - 2 - 4*z**2 + 0*z + 6*z**2.
2*(z - 1)*(z + 1)
Let c be (-542)/(-6) - (-2)/(-6). Let b = c - 808/9. Factor b*l + 2/9*l**2 + 0.
2*l*(l + 1)/9
Solve 0 - 1/6*b**4 - 1/6*b**3 + 0*b + 0*b**2 = 0.
-1, 0
Let -87/5*q**2 + 0 - 117/5*q**3 - 57/5*q**4 - 9/5*q**5 - 18/5*q = 0. What is q?
-3, -2, -1, -1/3, 0
Let x(q) be the third derivative of 0*q**4 + 0 + 0*q**3 - 1/300*q**5 + 0*q + 1/1680*q**8 + 1/1050*q**7 + 2*q**2 - 1/600*q**6. Suppose x(i) = 0. Calculate i.
-1, 0, 1
Solve 7*j - 3 - j**2 - 20*j + 2 + 11*j = 0 for j.
-1
Let j(t) be the first derivative of t**4/66 - t**2/11 - t - 3. Let v(b) be the first derivative of j(b). Factor v(n).
2*(n - 1)*(n + 1)/11
Let t(a) be the second derivative of 0*a**3 + 1/12*a**2 + 0 - 2*a - 1/72*a**4. Factor t(i).
-(i - 1)*(i + 1)/6
Factor -25 - 12*v**2 + 215*v**3 - 75*v**4 + 35 + 45*v - 183*v**2.
-5*(v - 1)**3*(15*v + 2)
Let u be 2/3*30/20. Let x be (u/6)/(6/8). Find v such that -x*v**3 + 0 + 0*v**2 + 4/9*v**4 - 2/9*v**5 + 0*v = 0.
0, 1
Let t(j) be the second derivative of j**6/10 + 3*j**5/5 + j**4/2 - 2*j**3 - 9*j**2/2 + 9*j. Factor t(v).
3*(v - 1)*(v + 1)**2*(v + 3)
Let k(c) be the third derivative of c**6/540 - c**5/135 - c**4/27 + 8*c**3/27 + 7*c**2. Factor k(n).
2*(n - 2)**2*(n + 2)/9
Let n(j) = 2*j**3 + 2*j**2 + 2*j + 2. Let d(i) = i**4 + i**3 + i + 1. Let v(a) = -2*d(a) + n(a). Suppose v(h) = 0. Calculate h.
-1, 0, 1
Let i be (0 - 1)/(5/(-25)). Suppose 1 = i*z - v - 15, 3*v = -z. Factor z*p**4 + p**2 + 5*p**3 + 0*p**2 + 0*p - p.
p*(p + 1)**2*(3*p - 1)
Let j(d) be the first derivative of 5*d**3/3 + 50*d**2 + 500*d + 27. Determine y so that j(y) = 0.
-10
Let o be ((-5)/2)/((-1)/2). What is b in -1 - o*b - 5 - 3*b**2 - 4*b = 0?
-2, -1
Factor -8 - 32/3*n - 2/3*n**3 - 14/3*n**2.
-2*(n + 2)**2*(n + 3)/3
Let b(d) = d**3 + 3*d**2 - 2*d - 4. Let v be b(-3). Factor u**5 - u**2 - u**v - 2*u**5 - 5*u**3 - 4*u*