l(a). Find m, given that b(m) = 0.
-1, 0
Let i be 12/(-28)*6/(-12)*2. Suppose 0 + i*q**4 - 1/7*q - q**3 + 5/7*q**2 = 0. Calculate q.
0, 1/3, 1
Let l = -19 - -24. Suppose 2*p + 8 = l*g - g, 2*g + 8 = 4*p. Factor 2/3*u**3 + 0 + 2/3*u**2 + 2/9*u**p + 2/9*u.
2*u*(u + 1)**3/9
Let i(b) = -5*b**2 + 180*b - 295. Let u(y) = -y**2 + 30*y - 49. Let q(c) = 4*i(c) - 25*u(c). Factor q(k).
5*(k - 3)**2
Suppose 4*t - 5*p = 22, 3*t - 10 = t + 2*p. Find v such that 5*v**t + v - 2*v**3 - 4*v = 0.
-1, 0, 1
Let w(g) be the first derivative of 0*g + 2/25*g**5 - 3 + 1/5*g**2 - 2/15*g**3 - 1/10*g**4. Determine k, given that w(k) = 0.
-1, 0, 1
Let d(g) be the first derivative of -3 + 14/3*g**3 + 0*g + 2*g**2 + 5/2*g**4. Find l such that d(l) = 0.
-1, -2/5, 0
Let y(t) = -11*t - 11*t**3 + 2*t + 18*t**2 - 29*t**2. Let m(z) = -5*z**3 - 5*z**2 - 4*z. Let b(q) = 9*m(q) - 4*y(q). Factor b(p).
-p**2*(p + 1)
Factor -2/5*j - 3/5 - 1/5*j**4 + 2/5*j**3 + 4/5*j**2.
-(j - 3)*(j - 1)*(j + 1)**2/5
Let x(r) be the second derivative of r**6/10 - 3*r**5/4 + 3*r**4/2 + 38*r. Factor x(z).
3*z**2*(z - 3)*(z - 2)
Factor 1/3*c**2 + 0*c + 0 + 1/3*c**3.
c**2*(c + 1)/3
Let l(x) be the third derivative of -x**11/221760 + x**9/20160 - x**7/3360 - x**5/30 + 2*x**2. Let b(i) be the third derivative of l(i). Factor b(a).
-3*a*(a - 1)**2*(a + 1)**2/2
Let b(j) be the third derivative of j**8/60480 - j**7/2520 + j**6/240 + j**5/30 + 4*j**2. Let i(g) be the third derivative of b(g). Factor i(a).
(a - 3)**2/3
Let x(v) = -3*v**4 + 6*v**3 + 3*v**2 - 6*v - 3. Let j(n) = n**5 + 2*n**4 - 6*n**3 - 2*n**2 + 5*n + 2. Let f(g) = -3*j(g) - 2*x(g). Find t such that f(t) = 0.
-1, 0, 1
Factor 5*c**5 - 5*c**3 - 4*c + 20*c**3 + 20*c**4 - 20*c**2 - 16*c.
5*c*(c - 1)*(c + 1)*(c + 2)**2
Suppose -7*v = -125 + 20. Suppose 4*s - v = -s. Factor 0 - 1/4*q**4 + 1/4*q**s + 1/4*q**2 - 1/4*q**5 + 0*q.
-q**2*(q - 1)*(q + 1)**2/4
Let d be 2 + (-4)/(-420) + -2. Let q(u) be the second derivative of -1/21*u**3 + 1/70*u**5 + d*u**6 + 0*u**2 + 0 - 1/42*u**4 + u. Factor q(g).
2*g*(g - 1)*(g + 1)**2/7
Let b(m) = m**3 - 9*m + 8*m**2 + m + 7 + 4. Let n be b(-9). Factor -6*q**2 + 3*q**2 - 5*q - 2 + 0*q**n.
-(q + 1)*(3*q + 2)
Find k, given that 4*k**2 + 9*k**2 - 4*k - 11*k**2 = 0.
0, 2
Let i(v) be the third derivative of -v**8/25200 - v**7/12600 - v**5/20 - 2*v**2. Let w(y) be the third derivative of i(y). Let w(j) = 0. What is j?
-1/2, 0
Let g(z) be the first derivative of -z**4/16 - z**3/4 + z**2/8 + 3*z/4 + 1. Suppose g(f) = 0. Calculate f.
-3, -1, 1
Let s be (1 - 12/8)/((-50)/20). Factor i + 4/5*i**2 + 2/5 + s*i**3.
(i + 1)**2*(i + 2)/5
Let y(p) be the second derivative of p**10/2880 - p**9/630 + 11*p**8/4480 - p**7/840 + p**4/6 + 5*p. Let x(c) be the third derivative of y(c). Factor x(g).
3*g**2*(g - 1)**2*(7*g - 2)/2
Let d(f) be the first derivative of -f**3/6 - 3*f**2/4 + 8. Factor d(w).
-w*(w + 3)/2
Let x = -7 - -10. Let w = 0 + x. Solve w - 3*c + 5 - 6*c**2 - 8 - 3*c**3 = 0.
-1, 0
Let k(m) be the second derivative of 3/2*m**2 + 1/210*m**5 + 0*m**3 - 4*m + 0 + 0*m**4. Let u(h) be the first derivative of k(h). What is a in u(a) = 0?
0
Let z(h) = -7*h**4 + 8*h**3 + 2*h**2 + 3. Let x(w) = w**5 - w**3 - w**2 - 1. Let d = 1 + -4. Let t(q) = d*x(q) - z(q). Factor t(y).
-y**2*(y - 1)**2*(3*y - 1)
Let v(p) be the first derivative of -p**6/6 - p**5/5 + 2. Find b such that v(b) = 0.
-1, 0
Let b = 16 + -14. Let x be 1*3/b - 1. Factor -x*p**2 - 1/2 - p.
-(p + 1)**2/2
Let 6*m**5 - 5*m**2 - 18*m**4 + 6*m**2 + 26*m**2 - 3*m**4 = 0. Calculate m.
-1, 0, 3/2, 3
Let w(d) be the second derivative of -1/2*d**2 + d + 1/2*d**5 + 5/6*d**3 - 5/6*d**4 + 0 + 1/42*d**7 - 1/6*d**6. Solve w(i) = 0.
1
Suppose 12 = -v - 5*t, 18 = -0*v + v - 5*t. Let h(a) be the first derivative of -4/9*a**v + 0*a - 2 - 1/3*a**2 - 1/6*a**4. Factor h(k).
-2*k*(k + 1)**2/3
Let f = 2 - -2. Suppose -f*n + 3*s = -85, 5*n - 3*s - 83 = -7*s. Determine k, given that -n*k + 30*k**4 - 13*k - 26*k**2 - 4 + 10*k + 22*k**3 = 0.
-1, -2/5, -1/3, 1
Let v(g) be the first derivative of -g**8/840 - g**7/420 + g**3 - 2. Let b(w) be the third derivative of v(w). Factor b(r).
-2*r**3*(r + 1)
Suppose -8*b + 5*b = 42. Let i(k) = k**4 - k**2. Let g(t) = 6*t**4 - 3*t**3 - 10*t**2 - t. Let l(w) = b*i(w) + 2*g(w). Factor l(v).
-2*v*(v + 1)**3
Let q(t) be the second derivative of 1/4*t**3 + 6*t + 3/8*t**4 + 0 - 1/20*t**6 - 3/40*t**5 - 3/2*t**2. Let q(w) = 0. Calculate w.
-2, -1, 1
Let b(z) be the second derivative of z**8/2400 + z**7/700 + z**6/900 + z**4/6 - 2*z. Let n(y) be the third derivative of b(y). Solve n(k) = 0 for k.
-1, -2/7, 0
Let o = 1 + 6. Determine c, given that o*c - 3*c + 3*c**3 - 4*c = 0.
0
Suppose 3*g - 6 = -4*q, -4*q - 7 = -4*g + 1. Determine y, given that 22*y**2 + 3*y**5 + y**5 + 7*y**4 + g*y**3 - 23*y**2 = 0.
-1, 0, 1/4
Suppose -3/2*n + 3/2*n**2 + 0 - 3/2*n**4 + 3/2*n**3 = 0. What is n?
-1, 0, 1
Let n(u) = 2*u**4 - 2*u**3 - 4*u**2 + 2*u. Let i(c) = -4*c**4 + 4*c**3 + 9*c**2 - 4*c. Let k be 3/(1 + (-4)/10). Let s(g) = k*n(g) + 2*i(g). Factor s(h).
2*h*(h - 1)**2*(h + 1)
Let d(y) be the second derivative of y**6/15 + y**5/5 - 2*y**3/3 - y**2 - 8*y. Factor d(n).
2*(n - 1)*(n + 1)**3
Let d(b) be the third derivative of b**9/272160 - b**8/90720 + b**5/60 + 3*b**2. Let q(u) be the third derivative of d(u). Factor q(t).
2*t**2*(t - 1)/9
Let p(s) be the second derivative of -1/150*s**5 + 0*s**4 + 1/15*s**3 + 3/2*s**2 + 0 - 4*s. Let k(m) be the first derivative of p(m). Factor k(t).
-2*(t - 1)*(t + 1)/5
Let x(l) be the first derivative of 2*l**5/35 + l**4/14 + 7. Factor x(y).
2*y**3*(y + 1)/7
Let s(q) be the second derivative of q**4/24 + q**3/12 - q**2/2 - 13*q. Solve s(g) = 0.
-2, 1
Let n be ((-8)/24)/(2/(-12)). Let r(x) be the first derivative of 0*x**3 + 0*x**5 + 1/12*x**6 + 0*x + 1/4*x**n - 1/4*x**4 + 1. Suppose r(i) = 0. What is i?
-1, 0, 1
Let l(c) = 4*c**3 + 8*c**2 - c. Let h(d) = -2*d**3 - 4*d**2. Suppose 4*a - 3*a + 16 = 3*u, -5*u = -4*a - 29. Let p(q) = u*h(q) + 2*l(q). Factor p(y).
-2*y*(y + 1)**2
Let c(y) = y**3 + 24*y**2 + 203*y + 523. Let t(k) = k + 1. Let q(v) = 4*c(v) - 44*t(v). What is l in q(l) = 0?
-8
What is n in -1/7*n**2 - 4/7*n + 5/7 = 0?
-5, 1
Let c(b) be the third derivative of 0*b - 1/30*b**5 + 3*b**2 + 0*b**3 + 0 - 1/12*b**4. Solve c(g) = 0.
-1, 0
Let g(t) = t**2 - 13*t + 42. Let v be g(8). Factor 0*c + 9/2*c**v + 3/2*c**3 + 0.
3*c**2*(c + 3)/2
Suppose 12 = -3*d - 3*l, 0 = -3*d - 2*l - 6 - 3. Let x be -1 - ((-6)/d)/(-2). Factor 1 + f + 6*f**3 + f**5 + 4*f**3 + 10*f**x + 5*f**4 + 4*f.
(f + 1)**5
Let j = -437/5 + 439/5. Solve -6/5*x**3 - 2/5*x**4 + 4/5 - j*x**2 + 6/5*x = 0.
-2, -1, 1
Let m(c) = 2*c**3 - c**2 - 3*c + 3. Let n(l) = 6*l**3 - 4*l**2 - 8*l + 8. Let x(t) = -8*m(t) + 3*n(t). Factor x(y).
2*y**2*(y - 2)
Let h(b) be the first derivative of -5*b**3/9 - 13*b**2/6 + 2*b + 27. Let h(q) = 0. What is q?
-3, 2/5
Let y(i) be the third derivative of 2/35*i**7 + 0 + 1/60*i**5 + 0*i**3 - i**2 - 7/120*i**6 + 0*i**4 + 0*i. Factor y(x).
x**2*(3*x - 1)*(4*x - 1)
Let 4*p**4 - 3*p**3 - 3*p**3 + 0*p**3 - p - p**5 + 4*p**2 = 0. Calculate p.
0, 1
Let b(i) be the second derivative of 0 + 0*i**5 + 2*i + 0*i**3 + 1/5*i**2 + 1/75*i**6 - 1/15*i**4. Factor b(m).
2*(m - 1)**2*(m + 1)**2/5
Let c(w) = -w**3 - 5*w**2 + 4*w - 8. Suppose 2*d = -d - 18. Let q be c(d). Factor 6*j - 14*j**2 + 4*j**3 + 12*j**4 + 5*j**5 - 2 - 15*j + q*j**2.
(j - 1)*(j + 1)**3*(5*j + 2)
Let z = 4/5 + 12/5. Determine l, given that -8/5*l**2 - 32/5*l**3 + 4/5 + 4/5*l**4 + z*l**5 + 16/5*l = 0.
-1, -1/4, 1
Suppose -3*j + 5*p - 16 = 0, -16 = -4*j - 5*p + 21. Let a = 2 - 0. Factor -2*h**2 + 2*h - 2*h**j - 2*h + 2*h + a*h**4.
2*h*(h - 1)**2*(h + 1)
Let c(q) be the first derivative of 1/4*q**4 - 1/20*q**5 - 3*q + q**2 - 1/30*q**6 + 1 + 5/6*q**3. Let y(s) be the first derivative of c(s). Factor y(j).
-(j - 2)*(j + 1)**3
Let g(o) be the first derivative of 4*o**5 + 3*o**4 - 16*o**3 + 8*o**2 + 7. Factor g(h).
4*h*(h - 1)*(h + 2)*(5*h - 2)
Let w = 27 - 39. Let m be (4 + 0)*(-2)/w. Find v, given that -1/3 - m*v - 1/3*v**2 = 0.
-1
Let m(z) be the second derivative of 1/4*z**2 - 2*z + 0 + 1/8*z**3 + 1/48*z**4. Determine o, given that m(o) = 0.
-2, -1
Let k be 15/10*472/(-18). Let z = -39 - k. Suppose 4/3 - 4/3*d + z*d**2 = 0. Wha