= 0.
0
Let k(y) = 2*y. Let g(j) = 3*j**2 - 30*j - 57. Let z(l) = -g(l) + 12*k(l). Factor z(n).
-3*(n - 19)*(n + 1)
Let p(o) be the second derivative of o**7/21 + o**6/15 + o + 46. Factor p(s).
2*s**4*(s + 1)
Let r = 2268 + -2261. Let w(x) be the first derivative of -r + 0*x**2 + 2/21*x**3 - 2/7*x. Find o such that w(o) = 0.
-1, 1
Let s(x) be the third derivative of x**6/30 + 2*x**5/5 + 4*x**4/3 + 203*x**2 - x. Factor s(t).
4*t*(t + 2)*(t + 4)
Find a such that 1290055 - 136*a**2 - 314*a**2 - 6*a**3 + a**3 - 4665055 - 67500*a + 4*a**3 = 0.
-150
Let d(l) = 2*l + 29. Let a be d(-11). Let -a*g**2 + 2*g - 1 - 3 + 8*g**2 + 1 = 0. What is g?
-3, 1
Let g(q) = 5*q**3 + 13*q**2 + 7*q - 1. Suppose 4*f - 50 = -3*l, -f + 26 = -2*l + 8. Let p(h) = h**3 + h**2 + h + 1. Let w(r) = f*p(r) - 2*g(r). Factor w(j).
4*(j - 2)**2*(j + 1)
Let n(q) = -5*q**2 - 8*q - 12. Suppose -4*m + 29 = -m + 4*y, -4*m = 2*y - 22. Let k(i) = 4*i**2 + 8*i + 13. Let x(l) = m*n(l) + 4*k(l). What is u in x(u) = 0?
-4
Suppose h - 4*h = 0. Let c be 51/15 - (3 + h). Determine d, given that 2/5*d**2 + c - 4/5*d = 0.
1
Let m(b) = b**2 + 10*b - 7. Let q(o) = o**3 + 3*o**2 + 4*o + 1. Let n be q(-3). Let g be m(n). Solve -8*v**3 + 8*v**4 - 2*v**g + 5*v**2 + 4*v - 7*v**2 = 0.
-2/3, 0, 1
Let d be (1*4/(-40))/(16/(-240)). Factor -9/2*z + d*z**2 + 3.
3*(z - 2)*(z - 1)/2
Factor 18*h**4 - 3*h**5 - 3464*h**3 + 1755*h**3 + 1730*h**3.
-3*h**3*(h - 7)*(h + 1)
Let j(g) = g**3 - 14*g**2 - 31*g - 10. Let f be (45/36)/((-1)/44). Let x(t) = -10*t**3 + 125*t**2 + 280*t + 90. Let a(d) = f*j(d) - 6*x(d). Factor a(r).
5*(r + 1)**2*(r + 2)
Let s be (61488/1323 + -46)/(5/6). Factor 2/7*x**2 + s*x + 2/7.
2*(x + 1)**2/7
Factor -37 + 15*g + 4*g**2 + 24*g + 21*g + 141.
4*(g + 2)*(g + 13)
Let r(d) be the third derivative of 19*d**8/112 + 206*d**7/105 + 1001*d**6/120 + 439*d**5/30 + 31*d**4/6 - 4*d**3 - 383*d**2 - 2. Let r(f) = 0. Calculate f.
-3, -2, -1/3, 2/19
Let s be 1*(4/2 - 11). Let a = -5 - s. Suppose -7*b**a + 2*b**3 - 10*b**3 - 4*b**2 + 3*b**4 = 0. Calculate b.
-1, 0
Let k(f) = -f**2 + 6*f - 2. Let r be k(4). Suppose 13*s - r*s = 28. Factor 14*p**3 + 7*p**2 + s*p - 2*p**3 + 0*p + 4*p**4 + 5*p**2.
4*p*(p + 1)**3
Let q(i) be the third derivative of 0 - 1/90*i**5 + i**2 + 0*i + 0*i**4 + 4/9*i**3. Factor q(k).
-2*(k - 2)*(k + 2)/3
Let g(u) = u**2 - 2*u + 6. Let y be (-6)/((-4)/(-2)) - (-6)/(-2). Let c(h) = -2*h**2 + 2*h - 7. Let t(s) = y*c(s) - 7*g(s). Factor t(x).
x*(5*x + 2)
Let v(t) be the second derivative of -t**5/12 + 5*t**4/24 - 6*t**2 - 9*t. Let l(x) be the first derivative of v(x). What is u in l(u) = 0?
0, 1
Let s(l) = -2*l**2 - 6*l - 22. Let f(x) = -3*x**2 - 7*x - 23. Let j(a) = 8*a**3 - 3*a**2 + 4*a - 2. Let v be j(1). Let d(h) = v*s(h) - 6*f(h). Factor d(u).
4*(u - 2)*(u + 2)
Suppose -27 - 387 = -18*c. Factor -43*g**4 + 52*g**3 + 13*g**5 + c*g**5 - 8*g**2 - 8*g**4 - 45*g**4.
4*g**2*(g - 2)*(3*g - 1)**2
Let l(o) = 2*o**2 - o - 1. Let s(z) = 10*z**2 + 14*z + 72. Let a(u) = -6*l(u) + s(u). Solve a(c) = 0 for c.
-3, 13
Let j(x) be the first derivative of -21*x**6/8 - 33*x**5/10 + 171*x**4/16 + 7*x**3/2 - 27*x**2/2 + 6*x - 57. Find t such that j(t) = 0.
-2, -1, 2/7, 2/3, 1
Suppose -3*g = 2*g + 4*v - 6420, -3*v + 1295 = g. Factor 55*h**2 + g*h**4 - 8*h + 3*h - 480*h**3 + 25*h**2 - 1280*h**5.
-5*h*(4*h - 1)**4
Let n(h) = -2*h**2 + 24*h - 32. Let c(s) = 8*s**2 - 96*s + 133. Let l(a) = 2*c(a) + 9*n(a). Suppose l(z) = 0. Calculate z.
1, 11
Let t(b) be the second derivative of b**4/32 - 29*b**3 + 10092*b**2 + 90*b - 2. Determine h so that t(h) = 0.
232
Let m = -31 + 123. Determine h, given that h**2 - m*h + 2*h**3 - 3*h**3 + 92*h = 0.
0, 1
Let y be 50/18 + 12/54. Find g such that -g**y + 2*g - 2*g**3 + 6*g**2 - 6 + g + 0*g = 0.
-1, 1, 2
Suppose 965 + 86*r + r**2 - 6*r + 4*r**2 - 1145 = 0. What is r?
-18, 2
Let f be 4 + (-2 - (-4 + 4)). Factor -5*l**2 + 4 + 2*l**f - 5 + 10 + 6*l.
-3*(l - 3)*(l + 1)
Let i(u) be the first derivative of u**6/60 + 4*u**5/5 + 219*u**4/20 + 76*u**3/3 + 361*u**2/20 - 96. Determine c so that i(c) = 0.
-19, -1, 0
Let d(j) be the third derivative of j**5/120 - 11*j**4/48 + 5*j**3/6 - 9*j**2. Let d(c) = 0. Calculate c.
1, 10
Determine v, given that 4365*v**5 + 34*v**3 - 4367*v**5 - 13*v**4 - 19*v**4 = 0.
-17, 0, 1
Factor -16 - 3 + 5*c**4 + 40*c**2 + 19 + 45*c**3.
5*c**2*(c + 1)*(c + 8)
Suppose 22*g = 17*g + 10. Determine a so that -8/11*a + 100/11*a**g - 16/11 + 50/11*a**3 = 0.
-2, -2/5, 2/5
Factor 0*l - 88*l**4 - 54*l**2 - 32*l**5 - 56*l**4 - 72*l**3 + 0*l - 90*l**3.
-2*l**2*(l + 3)*(4*l + 3)**2
Suppose -2 = -g - 0*g. Let 4*k + g*k**3 + 0*k**2 - 2*k**2 + 6*k**2 + k**2 + 1 = 0. Calculate k.
-1, -1/2
Let c(a) be the third derivative of -1/420*a**7 + 13*a**2 + 0 - 1/96*a**4 + 0*a**3 + 1/1344*a**8 + 0*a**6 + 0*a + 1/120*a**5. Suppose c(y) = 0. What is y?
-1, 0, 1
Let t(i) = i**3 - 5*i**2 + 2*i + 3. Let v be t(4). Let z be 0 - (1 - (-2 - v)). Factor s**2 - 2*s**z + 0*s**2.
-s**2
Factor -32/3 + 2/21*l**2 + 80/21*l - 2/21*l**3.
-2*(l - 4)**2*(l + 7)/21
Let z(u) be the first derivative of -u**5/45 + 5*u**4/18 - u**3 + u**2 - 837. Factor z(l).
-l*(l - 6)*(l - 3)*(l - 1)/9
Let c(r) be the first derivative of -r**4/36 + r**3/9 - 12*r - 12. Let h(a) be the first derivative of c(a). Determine p so that h(p) = 0.
0, 2
Let k(m) be the second derivative of 13/4*m**4 + 6*m**3 + 11*m + 6*m**2 + 1/10*m**6 + 9/10*m**5 + 0. Factor k(l).
3*(l + 1)**2*(l + 2)**2
Let z = -44038/3 + 14681. Factor 5/3*k**3 - 1/3*k**4 + 4/3 - k**2 - z*k.
-(k - 4)*(k - 1)**2*(k + 1)/3
Let y be 5/2*2/(-7)*-7. Let r(o) = -o**4 + o**3 + o - 1. Let s(w) = -3*w**4 + 16*w**3 + 2*w**2 + 7*w - 7. Let b(h) = y*s(h) - 35*r(h). Factor b(n).
5*n**2*(n + 2)*(4*n + 1)
Let f(l) be the third derivative of -l**6/1080 - l**5/90 - l**4/24 + 11*l**3/3 - 19*l**2. Let v(s) be the first derivative of f(s). Find k, given that v(k) = 0.
-3, -1
Let x(r) be the first derivative of r**3/5 - 3*r**2 + 15*r + 131. Find d such that x(d) = 0.
5
Let a(k) be the third derivative of -k**7/105 + k**6/30 + k**5/30 - k**4/6 + 50*k**2 - 2. Factor a(b).
-2*b*(b - 2)*(b - 1)*(b + 1)
Let t be 0 - (-4)/((-8)/(-6)). Factor 3 - 2 - 4*h**t - 1.
-4*h**3
Let c be (-2)/6*(-192 + 3). Suppose 0 = -3*m - 5 + 14. Factor -m*q**4 - 9*q**3 - 6*q**2 + 63*q - c*q.
-3*q**2*(q + 1)*(q + 2)
Let b = -27953 - -27955. Find c such that 2/3*c**b + 0 + 4/3*c = 0.
-2, 0
Let j = -24 + 29. Suppose -2*c = 3*p + 2 + 5, -j*c - p = -15. What is a in 3 + 4*a**3 + 2*a**3 - 20*a**2 + 20*a**2 - 3*a**c - 6*a = 0?
-1, 1
Suppose 13*v + 38 = 32*v. Suppose 3*w = -3*x - 15, -v*w + 7 = -2*x - 3. Find o such that -o - 1/4*o**3 + o**2 + w = 0.
0, 2
Let c be (-1 - (-14)/4)*85/(-11475)*-108. Factor 12/7*k + 9/7 + 3/7*k**c.
3*(k + 1)*(k + 3)/7
Let q(s) = -s - 3. Let u be q(-5). Let a be 9*(12/9 + -1). Factor -2*l**3 - l**4 + 7*l**3 + 1 - u*l**3 + 2*l - 5*l**a.
-(l - 1)*(l + 1)**3
Let c be 6 - 1 - (4/(-7) - 40/(-8)). Determine f, given that c*f - 10/7*f**2 + 0 + 8/7*f**3 - 2/7*f**4 = 0.
0, 1, 2
Let d(s) = -s**2 + 12*s - 15. Let h be d(10). Suppose -1 = h*p - 11. Factor 2*k**p - 2*k**4 - 2*k**5 - 7*k**3 + 3*k**5 + 6*k**3.
k**2*(k - 2)*(k - 1)*(k + 1)
Solve -3/5*c**3 - 4/5*c**2 + 12/5*c + 1/5*c**4 + 0 = 0.
-2, 0, 2, 3
Let t(g) be the first derivative of 4*g**3/21 - 40*g**2/7 - 42. Let t(u) = 0. What is u?
0, 20
Let i be (-30)/(-12) + -3 + 1460/360. Let 4/9*m**2 - i + 28/9*m = 0. What is m?
-8, 1
Let v(s) be the third derivative of s**6/40 + s**5/30 - s**4/2 - 4*s**3/3 + 628*s**2. Factor v(n).
(n - 2)*(n + 2)*(3*n + 2)
Let k = -3/7237 + 14495/50659. Suppose 3*z - w + 4*w = -3, -z + 5*w = -17. Factor k*x**5 + 2/7*x + 0*x**z - 4/7*x**3 + 0*x**4 + 0.
2*x*(x - 1)**2*(x + 1)**2/7
Let v(c) be the first derivative of 3*c**6/10 + 3*c**5/10 - 2*c - 6. Let u(g) be the first derivative of v(g). Factor u(h).
3*h**3*(3*h + 2)
Let z(r) = -r**2 - 6*r - 14. Let v be z(-4). Let j be (704/30)/4 + v/9. Factor -8/5*c**2 - 12/5 - j*c + 6/5*c**3.
2*(c - 3)*(c + 1)*(3*c + 2)/5
Let c(p) be the first derivative of p**3/12 + p**2/2 + 3*p/4 - 32. Find q such that c(q) = 0.
-3, -1
Let q(u) be the second derivative of -u**4/12 + 2*u**3/3 - 2*u**2 + 15*u. Let l be q(2). Factor l*n**2 + 0*n + 0*n**3 + 3/4*n**4 + 0 + 3/4*n**5.
3*n**4*(n + 1)/4
Let n be (-1