-22*g + 23*g + 19*g - 4*g**2.
-4*g*(g - 5)
Solve 24*l**2 + 0*l**2 + 12 - 4*l**4 - 19*l - 13*l = 0 for l.
-3, 1
Let u(g) = -15*g**2 - 84*g + 363. Let n(y) = y**2 + y. Let c(r) = 18*n(r) + u(r). Factor c(m).
3*(m - 11)**2
Let b(q) = -q**2 + 14*q + 7. Let l be b(13). Solve 20 - 2*v - l + v**2 = 0.
0, 2
Let y = 666 + -664. Factor 4/5*n**4 + 2/5*n**3 + 0*n + 2/5*n**5 + 0*n**y + 0.
2*n**3*(n + 1)**2/5
Let s(k) be the second derivative of -k**5/60 - 15*k. Let s(w) = 0. Calculate w.
0
Let m(r) be the first derivative of -1/4*r**2 - 1/4*r - 3 - 1/12*r**3. What is j in m(j) = 0?
-1
Find q such that -40*q - 20*q - 90*q**4 + 16*q**3 - q**3 + 160*q**2 - 25*q**5 = 0.
-3, -2, 0, 2/5, 1
Let b(i) = i**2 - 4*i - 5. Let d(f) be the second derivative of -f**4/6 + f**3 + 4*f**2 + 2*f. Let u(r) = 8*b(r) + 5*d(r). Factor u(c).
-2*c*(c + 1)
Solve 6*p + 3/2*p**2 + 6 = 0.
-2
Suppose -n + 2 = -3. Let t(y) be the third derivative of 1/3*y**3 + 0*y + y**2 + 1/12*y**n - 7/24*y**4 + 0. Find k, given that t(k) = 0.
2/5, 1
Let r = -6 - -6. Factor 9*j**3 - 2*j**2 - 5*j**3 + r*j**4 + 0*j**2 - 2*j**4.
-2*j**2*(j - 1)**2
Let d(x) be the second derivative of x**7/231 - x**6/165 - x**5/110 + x**4/66 - 5*x. Factor d(f).
2*f**2*(f - 1)**2*(f + 1)/11
Let f(h) be the first derivative of -h**3 - 9*h**2/2 - 6*h + 6. Factor f(k).
-3*(k + 1)*(k + 2)
Let v(d) be the third derivative of -d**8/588 + 11*d**6/840 - 3*d**5/140 + d**4/84 + 7*d**2. What is p in v(p) = 0?
-2, 0, 1/2, 1
Factor 3/2*a + 1/2*a**2 + 0.
a*(a + 3)/2
Let t(o) be the second derivative of -o**5/160 + o**3/48 - 15*o. Factor t(r).
-r*(r - 1)*(r + 1)/8
Let j = 1 + -2. Let o be j + -2*5/(-2). Factor 2 + b**2 - b**2 - o*b + 2*b**2.
2*(b - 1)**2
Let z be (-40)/(-12) + 2/(-6). Let 3*v**2 - 2*v + v**2 + 0*v**2 - 2*v**z = 0. What is v?
0, 1
Suppose -2*b - 5 = 2*d + 3, 4*d = -b - 16. Suppose -3*r = -4*o - b*r, -4*r = -4*o. Let -1/5*i**2 + o - 1/5*i = 0. What is i?
-1, 0
What is n in -6/5*n**3 + 2/5*n**4 + 0*n**2 + 0*n + 0 = 0?
0, 3
Suppose -5*w - 15 = 0, -12 = -3*p + 2*w + 3. Suppose p*d = 1 + 11. Factor 2*u**2 + 4*u**d - 2*u**4 - u - 4*u**4 + u**5.
u*(u - 1)**3*(u + 1)
Let n be -1 + (-2 - 0) - 0. Let j = n - -4. Factor 0 - m**2 - j + 2.
-(m - 1)*(m + 1)
Let j be (-15)/(-2)*8/12. Let x(g) be the first derivative of 0*g**2 + 2/35*g**j + 1/14*g**4 - 1/21*g**6 - 2/21*g**3 - 1 + 0*g. What is a in x(a) = 0?
-1, 0, 1
Let j = 3 - 1. Let x be (-1)/(j*3/(-12)). Factor -7*o**x + 2*o + o - o.
-o*(7*o - 2)
Let q = -14 + 10. Let m be 0 - (3 + -1 + q). Factor s - 3*s**m + 4*s**2 - s**2 + s**2.
s*(s + 1)
Suppose -2*b**2 + 7*b**2 - 100*b - 10 + 95*b = 0. What is b?
-1, 2
Let t = 73 + -363/5. Factor 1/5 + 1/5*d**2 + t*d.
(d + 1)**2/5
Let t = -1 + 2. Let z = t - -1. Find g such that -g**4 + g**3 + g**2 + 0*g**z - 2*g**5 + g**5 = 0.
-1, 0, 1
Factor 0 - 2/5*y**4 - 2/5*y**2 - 4/5*y**3 + 0*y.
-2*y**2*(y + 1)**2/5
Factor 9/7*b**3 + 0*b + 3/7*b**5 - 3/7*b**2 + 0 - 9/7*b**4.
3*b**2*(b - 1)**3/7
Let j(q) = 2*q**2 - 29*q + 14. Let r be j(14). Solve r - 1/3*f - 1/2*f**2 - 1/6*f**3 = 0 for f.
-2, -1, 0
Let t = 2/31 - -48/217. Let t*d - 2/7*d**2 + 0 = 0. What is d?
0, 1
Let v(u) = 8*u**5 - 4*u**4 + 12*u**2 + 12*u. Let d(h) = h**5 + h**2 + h. Let c(z) = 12*d(z) - v(z). Determine b, given that c(b) = 0.
-1, 0
Factor -10/19*b + 2/19*b**2 + 8/19.
2*(b - 4)*(b - 1)/19
Let y = 1261/65136 + 2/1357. Let h(r) be the second derivative of 1/24*r**3 - 1/4*r**2 + 0 + y*r**4 - r. Factor h(n).
(n - 1)*(n + 2)/4
Let y(j) be the third derivative of j**7/70 - j**6/10 + j**5/5 - 49*j**2. Factor y(i).
3*i**2*(i - 2)**2
Factor 212 - 15*l**3 - 15*l**4 - 212 - 5*l**5 - 5*l**2.
-5*l**2*(l + 1)**3
Let v = 1 - -1. Let s = 5 - v. Factor x + 4*x**2 + x**s - 3*x - 3*x**3.
-2*x*(x - 1)**2
Let o be -3 - (-2)/96*151. Let t(v) be the second derivative of -o*v**4 - v + 0 + 3/8*v**3 - 1/4*v**2. Factor t(s).
-(s - 1)*(7*s - 2)/4
Factor 28*l + 1 + 4 + 5*l**4 - 8*l + 20*l**3 + 30*l**2.
5*(l + 1)**4
Factor -3*o**2 - 8/3*o - 1/3 + 6*o**3.
(o - 1)*(3*o + 1)*(6*o + 1)/3
Factor 1/4*z - 1/4*z**3 + 0 + 0*z**2.
-z*(z - 1)*(z + 1)/4
Let f(s) be the second derivative of s**4/20 - 3*s**3/10 + 6*s - 1. Factor f(l).
3*l*(l - 3)/5
Suppose b + 3 = -3*o + 12, -2*b + 2*o - 6 = 0. What is m in -2/3*m**3 + 0*m**2 + b*m + 0 = 0?
0
Let c(k) be the second derivative of -3*k**5/20 - k**4/2 - k. Factor c(q).
-3*q**2*(q + 2)
Let n be -38 + -1 - 1*-2. Let v = 112/3 + n. Factor 1/3*l**4 + v*l**2 + 0*l + 0 - 2/3*l**3.
l**2*(l - 1)**2/3
Let a(i) be the second derivative of i**8/3360 - i**7/630 + i**6/360 + i**4/4 + 2*i. Let t(z) be the third derivative of a(z). Factor t(c).
2*c*(c - 1)**2
Let z(f) be the first derivative of f**4/8 - 2*f**3/3 + 5*f**2/4 - f - 6. Factor z(q).
(q - 2)*(q - 1)**2/2
Let y(x) = -x**3 - 7*x**2 - 5*x + 14. Let t be y(-6). Factor 5*u - 3*u + 8*u**3 - t*u**4 + 10*u**4 + 6*u**2 - 2*u**3.
2*u*(u + 1)**3
Let g(y) = y**5 + 6*y**3 - 4*y**2 + 3*y. Let k = -9 + 7. Let a(m) = 6*m**3 - 4*m**2 + 2*m. Let t(n) = k*g(n) + 3*a(n). Factor t(o).
-2*o**2*(o - 1)**2*(o + 2)
Find m such that 2/7*m**2 + 0 + 2/7*m**4 + 0*m + 4/7*m**3 = 0.
-1, 0
Let o(u) be the third derivative of u**8/630 + 19*u**7/525 + 127*u**6/450 + 26*u**5/45 - 5*u**4/2 - 25*u**3/9 - 10*u**2. Suppose o(p) = 0. Calculate p.
-5, -1/4, 1
Let m(x) be the second derivative of x**10/15120 - x**9/5040 + x**7/2520 + x**4/6 + 2*x. Let j(b) be the third derivative of m(b). Factor j(r).
r**2*(r - 1)**2*(2*r + 1)
Let n(g) = g**3 + 4*g**2 - 4*g + 7. Let c be n(-5). Let v(z) be the third derivative of 4/3*z**3 + 1/30*z**5 + 2*z**c - 1/3*z**4 + 0 + 0*z. Factor v(p).
2*(p - 2)**2
Let c = -177 + 295. Let k = -586/5 + c. Find v, given that k + 2/5*v**4 + 2*v**3 + 18/5*v**2 + 14/5*v = 0.
-2, -1
Let v(i) = -35*i - 25. Let t(w) = w**2 + 35*w + 26. Let g(u) = -5*t(u) - 4*v(u). Factor g(r).
-5*(r + 1)*(r + 6)
Solve 79*b**3 + 27*b**4 + b**3 + 73*b**4 - 84*b**2 - 80*b - 16 = 0 for b.
-1, -2/5, 1
Let f = 5/24 + 1/24. Let d be 6/12*3/6. Determine u so that 1/4*u - 1/4 - d*u**3 + f*u**2 = 0.
-1, 1
Let m(r) = r**2 - 3*r - 2. Let n be m(4). Solve h - 4*h + 0*h**3 + 2*h - h**3 + 2*h**n = 0.
0, 1
Let c(l) be the first derivative of 4 - 1/6*l**2 + 1/9*l**3 - 1/3*l + 1/12*l**4. Factor c(p).
(p - 1)*(p + 1)**2/3
Find y, given that 18/5*y - 6/5*y**3 - 3/5 + 27/5*y**4 - 12/5*y**5 - 24/5*y**2 = 0.
-1, 1/4, 1
Let o be 3/6 + (-7)/2. Let s(b) = -b**5 + 5*b**4 - 8*b**3 + 4*b. Let w(p) = p**5 - 3*p**4 + 4*p**3 - 2*p. Let l(c) = o*s(c) - 5*w(c). Solve l(u) = 0 for u.
-1, 0, 1
Let t = 6 + -4. Let d be (3 - 81/30)/((-2)/(-12)). Factor 1/5*n - 2/5 - 13/5*n**3 + d*n**t + n**4.
(n - 1)**3*(5*n + 2)/5
Let k(b) be the third derivative of b**7/210 + b**6/40 + b**5/30 - 8*b**2. Factor k(v).
v**2*(v + 1)*(v + 2)
Let y = 42 + -17. What is o in 5 - y*o**2 - 4 - 2 + 0 - 10*o = 0?
-1/5
Let x(z) be the second derivative of 0 + 21/20*z**5 + 0*z**3 - 7*z + 1/4*z**4 + 3/2*z**6 + 0*z**2 + 9/14*z**7. Solve x(a) = 0 for a.
-1, -1/3, 0
Let r(z) be the first derivative of -4*z**5/35 - 8*z**4/7 - 32*z**3/7 - 64*z**2/7 - 64*z/7 - 6. Find s, given that r(s) = 0.
-2
Let v(u) be the first derivative of 2*u + 0*u**3 - 1/12*u**4 + 0*u**2 + 2. Let y(c) be the first derivative of v(c). Factor y(m).
-m**2
Let a = -123 - -63. Let f be (-6)/(-36) + (-14)/a. Let f*y**3 + 2/5*y**2 - 3/5*y + 1/5 - 3/5*y**4 + 1/5*y**5 = 0. Calculate y.
-1, 1
Suppose 5*r = r. Let y be (-8)/(-20) - (-2)/(-5). Let y*i - 1/3*i**3 + r + 0*i**2 = 0. Calculate i.
0
Let b(u) be the second derivative of -1/14*u**7 - 1/2*u**3 + 3/2*u**2 + 3*u + 3/10*u**5 + 0 - 1/2*u**4 + 1/10*u**6. Factor b(f).
-3*(f - 1)**3*(f + 1)**2
Determine p so that -6*p**3 + 3*p**4 + 10*p**2 - 17*p**2 + 10*p**2 = 0.
0, 1
Let d(u) be the first derivative of -2*u**5/15 - u**4/6 + 4*u**3/9 + 7. Factor d(h).
-2*h**2*(h - 1)*(h + 2)/3
Solve -8 - 15*k**4 - 15*k**2 + 0 - 10*k + 8 + 40*k**3 = 0.
-1/3, 0, 1, 2
Let c(j) be the second derivative of 0*j**3 - 1/210*j**7 + 0*j**2 + 0 - 5*j - 1/150*j**6 + 1/100*j**5 + 1/60*j**4. Factor c(a).
-a**2*(a - 1)*(a + 1)**2/5
Let p = -73/2 - -38. Let 3*w**4 - 3/2*w**5 + 0*w**2 - p*w**3 + 0 + 0*w = 0. What is w?
0, 1
Let l(r) be the first derivative of -2/3*r**3 + 0*r - 2/5*r**5 + 1 - r**4 + 0*r**2. Factor l(o).
-2*o**2*(o + 1)**2
Let -22/3 - 5/3*y**2 + 19*y