-v - 25 = -3*w + 61, -w + 20 = 4*v. Suppose 3*d = w - 22. Factor 4/3*o**d + 0 + 8/3*o.
4*o*(o + 2)/3
Let d(z) be the third derivative of -z**5/120 - 5*z**4/192 - z**3/48 + 38*z**2. Factor d(m).
-(m + 1)*(4*m + 1)/8
Let j(x) be the third derivative of x**7/168 - 5*x**6/32 + 21*x**5/16 - 245*x**4/96 + 66*x**2. Factor j(k).
5*k*(k - 7)**2*(k - 1)/4
Let b(n) be the second derivative of n**5/10 - 5*n**4/8 + n**3 + 7*n**2/2 - 10*n. Let t(d) be the first derivative of b(d). Factor t(c).
3*(c - 2)*(2*c - 1)
Suppose 4*h - 35 = -3*h. Factor 64*g - 256 - 7*g**2 - 2*g**2 + h*g**2.
-4*(g - 8)**2
Factor 12*i**4 - 42*i**2 - i**5 + 5*i**5 + 51*i - 7*i**5 - 16 - 2.
-3*(i - 3)*(i - 1)**3*(i + 2)
Let i(r) be the third derivative of r**6/60 - 11*r**5/15 + 19*r**4/3 - 24*r**3 - 134*r**2 - r. Factor i(p).
2*(p - 18)*(p - 2)**2
Let p(m) = -5*m**3 + 8*m**2 - 13*m - 32. Let s(z) = -4*z**3 + 10*z**2 - 14*z - 32. Let x(f) = -2*p(f) + 3*s(f). Factor x(o).
-2*(o - 4)**2*(o + 1)
Let -12*m**4 - 40/3*m - 36*m**2 + 0 - 100/3*m**3 - 4/3*m**5 = 0. Calculate m.
-5, -2, -1, 0
Let c(j) = -23*j - 273. Let t be c(-12). Factor 16/3*z**2 + 4*z + 0 + 4/3*z**t.
4*z*(z + 1)*(z + 3)/3
Factor -5/6*l**3 + 5/3*l**2 - 20/3 + 10/3*l.
-5*(l - 2)**2*(l + 2)/6
Suppose 151*r - 20*r + 1 = 1. Factor 9/5*b**2 + 3/5*b**4 + 12/5*b**3 + r*b + 0.
3*b**2*(b + 1)*(b + 3)/5
Find f, given that 1296/11 - 24/11*f**4 + 556/11*f**2 + 1656/11*f - 30/11*f**3 + 2/11*f**5 = 0.
-2, 9
Let s = -7507/2 - -3755. Factor 15*q**2 + 15/2*q**4 - 15*q**3 + s - 3/2*q**5 - 15/2*q.
-3*(q - 1)**5/2
Let w(t) = 9*t**2 - 29*t. Suppose 0 = 7*r - 4*r + 15. Let p(l) = -10*l**2 + 30*l. Let c(i) = r*w(i) - 4*p(i). Factor c(h).
-5*h*(h - 5)
Let l(z) be the first derivative of z**4 + 20*z**3/3 + 8*z**2 + 88. Find t such that l(t) = 0.
-4, -1, 0
Factor -6724 + 43*d**3 - 9*d**3 - 10*d**3 + 324*d**2 - 18*d**3 - 10*d**3 - 6396*d.
-4*(d - 41)**2*(d + 1)
Factor 502*s - 3*s**4 - 694*s - 12*s**3 + 136*s**2 - s**4.
-4*s*(s - 3)*(s - 2)*(s + 8)
Let h(y) be the second derivative of 1/12*y**4 + 0 + 5/6*y**3 + 2*y**2 + 20*y. Factor h(x).
(x + 1)*(x + 4)
Let z(g) = -g**3 + 2*g**2 + 5*g - 5. Let i be z(3). Factor i - 22*u**2 + u + 21*u**2 - 1.
-u*(u - 1)
Let i(u) be the third derivative of -1/120*u**6 - 1/40*u**5 - 11/6*u**3 + 5*u**2 + 0 + 1/4*u**4 + 0*u. Let p(r) be the first derivative of i(r). Factor p(f).
-3*(f - 1)*(f + 2)
Let v be (6/(-2))/(-1) + 0. Suppose 2*l - 6*l - 24 = -v*u, -25 = -4*u + 3*l. Solve -2*h**2 + u*h**2 + 2*h**2 - 4*h = 0 for h.
0, 1
Let m be (-9)/(-6) - 432/320. Let h(y) be the first derivative of 1/3*y**3 + 13 + 0*y + m*y**4 + 1/5*y**2. Suppose h(u) = 0. Calculate u.
-1, -2/3, 0
Let c(f) be the third derivative of f**5/3 + 25*f**4/24 + 5*f**3/6 - 2*f**2 - 169*f. Factor c(g).
5*(g + 1)*(4*g + 1)
Factor -304*m - 2/9*m**3 - 146/9*m**2 - 288.
-2*(m + 1)*(m + 36)**2/9
Let w(s) be the third derivative of s**7/1575 + s**6/300 - s**5/450 - s**4/60 - 50*s**2. Determine g so that w(g) = 0.
-3, -1, 0, 1
Let z(b) = b**2 - b + 1. Let g(y) = -y - 1. Let v(p) = g(p) + z(p). Factor v(i).
i*(i - 2)
Find p such that 29/2*p - 29/2*p**3 + 4 - 9/4*p**2 - 7/4*p**4 = 0.
-8, -1, -2/7, 1
Let s(i) be the first derivative of -15*i**6/2 - 21*i**5 + 25*i**4/4 + 125*i**3/3 + 97. Factor s(b).
-5*b**2*(b - 1)*(3*b + 5)**2
Let b(l) = -6*l**2 + 3*l + 25. Let v(f) = -5*f**2 + f + 24. Let n(g) = -6*b(g) + 7*v(g). Find z such that n(z) = 0.
2, 9
Factor -14 - 15*s - 15818*s**2 - s + 15816*s**2.
-2*(s + 1)*(s + 7)
Determine a so that -918*a - 3*a**3 + 73 + 822*a + 39*a**2 + 0*a**3 - 13 = 0.
1, 2, 10
Let a be (-3)/4*392/882*(-6 - 0). Let 2/5*d**a + 10 + 4*d = 0. Calculate d.
-5
Let w(v) be the second derivative of -v**8/5040 - v**7/945 + v**6/180 - 3*v**4/2 + v. Let u(q) be the third derivative of w(q). Factor u(d).
-4*d*(d - 1)*(d + 3)/3
Let s = 845/3924 + 3/436. Suppose 2*g + 2/3*g**2 + 0 - 10/9*g**3 + s*g**4 = 0. Calculate g.
-1, 0, 3
Let o(z) = z. Let d(m) = 3*m. Let r(p) = d(p) - 2*o(p). Let a be r(10). Factor 7*w**2 + 22*w + 4*w**5 - 8 - a*w - 16*w**3 + w**2.
4*(w - 1)**3*(w + 1)*(w + 2)
Let k(l) be the first derivative of l**6/288 + l**5/32 + l**3 + 5. Let v(z) be the third derivative of k(z). Solve v(q) = 0 for q.
-3, 0
Factor -1/5*b**2 - 1024/5 + 64/5*b.
-(b - 32)**2/5
Let n(o) be the third derivative of o**7/8820 - o**5/105 - 2*o**4/3 + 14*o**2. Let h(y) be the second derivative of n(y). Factor h(t).
2*(t - 2)*(t + 2)/7
Let h(a) = -a**2. Let u(w) = 4*w**3 - 10*w**2 + 3*w. Let c(i) = 3*h(i) + u(i). Factor c(f).
f*(f - 3)*(4*f - 1)
Let q(k) be the second derivative of 14*k + 1/2*k**2 + 0 - 1/16*k**4 - 1/80*k**5 + 0*k**3. Suppose q(t) = 0. Calculate t.
-2, 1
Determine x, given that -20449/10 - 143/5*x - 1/10*x**2 = 0.
-143
Suppose 5*k - 9 - 6 = 0. Let o(s) = -3*s**3 - 1. Let r be o(-1). Factor 0*d**r - 15*d + d**2 + 5*d**2 + k + 24*d**3.
3*(d + 1)*(2*d - 1)*(4*d - 1)
Let l(i) = -10*i**3 - 16*i**2 + 5*i - 6. Let b(a) = -11*a**3 - 18*a**2 + 6*a - 7. Let s(u) = -6*b(u) + 7*l(u). Find j, given that s(j) = 0.
-1/2, 0
Let b(m) = 58*m**2 - 9*m - 25. Let h be b(-3). Solve -h*i**2 - 378*i**3 + 48 - 351*i**3 + 64*i - 517*i**3 + 310*i**3 - 252*i**4 = 0 for i.
-3, -2/3, -1/3, 2/7
Let q(h) be the second derivative of h**4/4 + 58*h**3 - h - 13. Determine i so that q(i) = 0.
-116, 0
Let g(v) = 250*v + 2. Let o = -4 - -5. Let q be g(o). Factor -q*p**2 - 15*p - 1029*p**4 - 9*p - 414*p**3 - 468*p**3.
-3*p*(7*p + 2)**3
Suppose 55*f - 57*f + 2 = 0. Let s be 2 + f + -6 + -2 + 7. Let 2/7*b**s + 0 - 4/7*b = 0. What is b?
0, 2
Let p(h) be the third derivative of h**8/336 - 2*h**7/105 + h**6/24 - h**5/30 + 82*h**2. Solve p(a) = 0 for a.
0, 1, 2
Let 0*j**2 - 2/11*j**3 + 6/11*j + 4/11 = 0. Calculate j.
-1, 2
Let d be 192/(-112)*10*3/(-24). Factor -3/7*o**2 - 3*o**4 + 0 + d*o**3 + 9/7*o**5 + 0*o.
3*o**2*(o - 1)**2*(3*o - 1)/7
Let r(i) be the first derivative of 5*i**3/12 - 5*i**2/4 - 147. Factor r(b).
5*b*(b - 2)/4
Let c(g) = -3*g + 40. Let d be c(17). Let p be (-351)/(-1144) + 2/d. Factor -3/8 + 1/4*x**3 - 1/2*x + p*x**2.
(x + 1)**2*(2*x - 3)/8
Suppose -9*o + 14*o = 5. Let z(l) = l**3 + 25*l**2 + 40*l - 136. Let s be z(-23). Solve o + 1/3*j**s - 4/3*j = 0 for j.
1, 3
Let o(h) be the second derivative of 0 + 0*h**2 - 1/9*h**3 + 1/18*h**4 + 11*h. Determine j so that o(j) = 0.
0, 1
Let c(y) = 3*y + 3*y**2 - 5*y**2 + 3*y**2 - 7. Let w be c(-5). Suppose 2*b - b**w - 4*b**2 + 0*b**3 - 6*b = 0. What is b?
-2, 0
Let a = -439 + 439. Let x(f) be the second derivative of a*f**5 - 1/120*f**6 + 1/168*f**7 + 0*f**4 + 0 + 6*f + 0*f**3 + 0*f**2. Factor x(n).
n**4*(n - 1)/4
Suppose 4*x = -2*k + 14, -5 = 15*k - 14*k. Let t(a) be the second derivative of 0*a**2 - 1/14*a**4 + 8*a - 1/105*a**x + 1/21*a**3 + 0 + 3/70*a**5. Factor t(v).
-2*v*(v - 1)**3/7
Suppose -29*m = -36*m + 35. Let c(u) be the third derivative of -6*u**2 - 1/45*u**m + 1/18*u**4 + 4/9*u**3 + 0*u + 0. Let c(t) = 0. Calculate t.
-1, 2
Let g(h) = -3*h**2 + 3*h - 12. Let q(c) = 10*c**2 - 15*c + 35. Let s(a) = -14*g(a) - 4*q(a). Factor s(n).
2*(n + 2)*(n + 7)
Let t be ((-22)/4)/(21/2)*1. Let k = t - -6/7. Solve -k*q**4 + 3 + 2*q - 2*q**3 - 8/3*q**2 = 0 for q.
-3, -1, 1
Let z(u) be the third derivative of -u**6/540 - u**5/27 + 11*u**4/108 + 48*u**2. Factor z(d).
-2*d*(d - 1)*(d + 11)/9
Factor -150/7 + 15/7*i + 3/7*i**2.
3*(i - 5)*(i + 10)/7
Factor 3/4*n + 1/4*n**2 + 0.
n*(n + 3)/4
Let u(w) = 2*w**2 - 6. Let j be u(-2). Factor -33*n**j + 3*n**5 - 36*n + 9*n**4 - 3*n**3 + 7 - 18 - 1.
3*(n - 2)*(n + 1)**3*(n + 2)
Let q(a) be the second derivative of a**6/540 + a**5/90 - a**4/12 + 5*a**3/6 - 2*a. Let p(k) be the second derivative of q(k). Determine z so that p(z) = 0.
-3, 1
Let y = -995/7 - -143. Let k(l) be the first derivative of -10/21*l**3 - 5 + y*l + 2/7*l**2. Factor k(u).
-2*(u - 1)*(5*u + 3)/7
Let p(h) = 3*h**3 + 18*h**2 - 138*h + 186. Let r(i) = -5*i**3 - 39*i**2 + 277*i - 373. Let m(t) = 11*p(t) + 6*r(t). Factor m(b).
3*(b - 4)**3
Let g(j) = 2*j**4 - 36*j**3 - 130*j**2 + 144*j + 411. Let p(t) = t**4 - 24*t**3 - 86*t**2 + 96*t + 273. Let o(v) = 5*g(v) - 7*p(v). Factor o(u).
3*(u - 6)*(u - 2)*(u + 2)**2
Suppose 2*z - z - 18 = 0. Suppose -z*w = -13*w - 15. Determine m so that -3*m + 3 + w*m**2 - 6*m + 3*m = 0.
1
Let b(d) be the first derivat