).
-(g - 2)**2*(g - 1)*(7*g - 2)
Let b be ((-3)/(-1))/((-8)/(-8)). Suppose b*g = g. What is d in g - 1/6*d**2 - 1/6*d = 0?
-1, 0
Factor 3 - 10*k + 5*k**2 - 1 - 17.
5*(k - 3)*(k + 1)
Let m(s) = 6*s**3 - s**2 - 5*s + 5. Suppose 8 = 7*j - 5*j. Let a(o) = -o + o**2 - 8*o**3 - 4 + 3*o**3 + 5*o. Let q(u) = j*m(u) + 5*a(u). Factor q(k).
-k**2*(k - 1)
Suppose 2 = 2*d - 2*g, 0 = -3*d - g + 3*g + 4. Find c such that -2*c**3 + d*c + 16*c**2 - 14*c**2 + 3 - 5 = 0.
-1, 1
Let z(n) = 5*n + 8. Let q(b) = -11*b - 16. Let t(c) = 6*q(c) + 13*z(c). Let l be t(5). Factor -3/2*w**l - 3/4 + 3/2*w + 3/4*w**4 + 0*w**2.
3*(w - 1)**3*(w + 1)/4
Suppose -78*o + 76*o + 8 = 2*j, -j + o = 0. Factor -8/7*h + 4/7*h**j + 2/7*h**3 - 16/7.
2*(h - 2)*(h + 2)**2/7
Let r be (-4)/(1 - 2) + -4. Let n(v) be the second derivative of -1/6*v**4 + 4/3*v**3 + r - 4*v**2 + 2*v. Find s, given that n(s) = 0.
2
Let j = -1/62 + 18/155. Let w(k) be the second derivative of -2/7*k**2 + 1/21*k**4 - 2*k - j*k**5 + 1/3*k**3 + 0. Solve w(f) = 0.
-1, 2/7, 1
Solve 2/15*i**2 - 4/5*i + 6/5 = 0.
3
Suppose -4*h + 5 = -59. Suppose -3*u = -7*u + h. What is o in -50/9*o**2 + 8/9*o - 26/9*o**3 + 20/3*o**u + 8/9 = 0?
-2/3, -2/5, 1/2, 1
Let o(z) be the third derivative of 0*z**4 - 7*z**2 + 0*z**5 - 1/60*z**6 - 1/336*z**8 + 0*z + 0 + 1/70*z**7 + 0*z**3. Factor o(m).
-m**3*(m - 2)*(m - 1)
Let g(q) = -7*q**2 + 2 + 3*q + 0*q**2 + 2*q. Let p(l) = -4*l**2 + 3*l + 1. Let u(i) = 3*g(i) - 5*p(i). Factor u(j).
-(j - 1)*(j + 1)
Let q(b) be the third derivative of b**8/504 - b**7/63 + b**6/20 - 7*b**5/90 + b**4/18 + 9*b**2. Factor q(c).
2*c*(c - 2)*(c - 1)**3/3
Let 1/6*y**2 + 3/2*y + 7/3 = 0. What is y?
-7, -2
Let s(v) be the first derivative of -v**5/10 - v**4/2 - 2*v**3/3 + v - 1. Let o(t) be the first derivative of s(t). Suppose o(l) = 0. What is l?
-2, -1, 0
Suppose -2*w + 5*w - 6 = l, 0 = -l - 4*w + 8. Let j be (-5)/(-3) + -3 + 2. Factor l*i - 2/3*i**4 - j + 4/3*i**2 + 0*i**3.
-2*(i - 1)**2*(i + 1)**2/3
Find d such that -3*d + 17*d**2 + d**4 + 6 - 7*d**3 + 3*d - 17*d = 0.
1, 2, 3
Let r(a) = 2*a**2 + 30*a - 29. Let g be r(-16). Factor -4/7*p + 0 + 6/7*p**2 - 2/7*p**g.
-2*p*(p - 2)*(p - 1)/7
Let r(b) be the first derivative of -5*b**3/7 - 12*b**2/7 - 9*b/7 - 32. Determine p, given that r(p) = 0.
-1, -3/5
Let n be 1/((-21)/(-56)*(-8)/(-6)). Solve 1/3*t - 2/3 + 1/3*t**n = 0.
-2, 1
Let l(r) be the third derivative of -r**5/12 - 5*r**4/2 - 2*r**2 + 2*r. Suppose l(n) = 0. What is n?
-12, 0
Let m(s) be the second derivative of 11*s - 3/5*s**5 + 2/5*s**6 - 1/2*s**4 - 1/14*s**7 - 3*s**2 + 5/2*s**3 + 0. Factor m(j).
-3*(j - 2)*(j - 1)**3*(j + 1)
Let c(o) be the third derivative of -o**6/720 - o**5/72 - o**4/18 - o**3/9 - 28*o**2. Factor c(y).
-(y + 1)*(y + 2)**2/6
Let n be 11*2/14 - 1. Let r = 48 - 334/7. Factor n + r*d - 2/7*d**2.
-2*(d - 2)*(d + 1)/7
Let v(i) be the first derivative of 2*i**6/3 - 9*i**5/5 + 3*i**4/2 - i**3/3 + 6. Suppose v(x) = 0. Calculate x.
0, 1/4, 1
Let y(q) be the first derivative of -q**6/1440 + q**5/480 + q**4/48 + q**3 + 2. Let n(m) be the third derivative of y(m). Factor n(b).
-(b - 2)*(b + 1)/4
Let a(i) = 3*i**2 + 2*i - 2. Let x(j) be the first derivative of j**3/3 - j + 3. Let d(s) = 3*a(s) - 6*x(s). Factor d(w).
3*w*(w + 2)
Let d be 2/5 - 18/45. Suppose p - 4 = -j, d*p - 4*p + 3*j = -2. What is y in 3*y**p - 3*y + 2 - 5*y + 2*y + 1 = 0?
1
Let b(m) = 3*m**4 + 12*m**3 - 12*m**2 + 3*m - 6. Let v(t) = t**2 + t - 2. Let r(z) = b(z) - 3*v(z). Factor r(i).
3*i**2*(i - 1)*(i + 5)
Find k, given that -24/19*k**4 - 4/19*k**2 + 22/19*k**3 + 0*k + 0 = 0.
0, 1/4, 2/3
Let x = 2 + 1. Let f be (2/4)/(1/12). Factor -4*l**4 + 2 - f*l**2 + 4*l**3 - 3 + x*l**4 + 4*l.
-(l - 1)**4
Solve -6*j**3 - 82/13*j - 18/13*j**4 + 166/13*j**2 + 12/13 = 0.
-6, 1/3, 1
Factor -8/19 - 4/19*m**2 - 2/19*m**3 + 14/19*m.
-2*(m - 1)**2*(m + 4)/19
Let m be -2 + 1 + 15*12/140. Find a such that -m + 2/7*a**2 + 0*a = 0.
-1, 1
Factor -1/3*s - 1/6*s**2 - 1/6.
-(s + 1)**2/6
Let q(u) = -2*u**2 - 3*u - 4. Suppose -6*h + 4*h + 6 = 0. Let y(o) = -5*o**2 - 8*o - 12. Let i(t) = h*y(t) - 8*q(t). Let i(r) = 0. What is r?
-2, 2
Let n be ((-66)/(-88))/(1/2). Let g = 29 + -55/2. Factor -n - g*a**2 - 3*a.
-3*(a + 1)**2/2
Let g(t) be the second derivative of t**6/105 - 3*t**5/70 - 5*t**4/42 + t**3/7 + 4*t**2/7 + 16*t. Factor g(k).
2*(k - 4)*(k - 1)*(k + 1)**2/7
Let n be 30/(-3) + -1 + 1. Let w be n/(-36) - 4/(-18). Factor 0 - 1/2*d + w*d**2.
d*(d - 1)/2
Determine c, given that c**5 + 10/3*c**4 + 4*c**3 + 2*c**2 + 1/3*c + 0 = 0.
-1, -1/3, 0
Let q(r) be the first derivative of -r**3/18 - r**2/3 - 2*r/3 - 3. Factor q(n).
-(n + 2)**2/6
Let q be -2*8/6*(-42)/28. Factor 0 - 1/8*d - 3/8*d**2 - 3/8*d**3 - 1/8*d**q.
-d*(d + 1)**3/8
Let c be (-348)/(-22) - (-16)/88. Suppose 0*t + 5*x = -2*t - 11, 3 = -3*t - 3*x. Factor 6 + 32/3*q**t + c*q.
2*(4*q + 3)**2/3
Let t(w) be the first derivative of w**4/12 - w**3/3 + w**2/3 + 37. Factor t(g).
g*(g - 2)*(g - 1)/3
Let t(g) be the first derivative of g**6/60 - g**5/30 + g**2 + 5. Let l(m) be the second derivative of t(m). Factor l(s).
2*s**2*(s - 1)
Let z(c) be the second derivative of 5*c**7/14 - 4*c**6/5 - 3*c**5/5 + 5*c**4/2 - c**3/2 - 3*c**2 - 20*c. Factor z(u).
3*(u - 1)**3*(u + 1)*(5*u + 2)
Let 4*w**3 - 1/4 - 6*w**2 + 9/4*w = 0. Calculate w.
1/4, 1
Factor 16*n**3 + n**2 + 3*n**2 + 4 + 12*n**4 - 4.
4*n**2*(n + 1)*(3*n + 1)
Let h = 85 - 253/3. Factor 0 + h*p**2 + 4/3*p - 2/3*p**3.
-2*p*(p - 2)*(p + 1)/3
Let q = -548/5 - -110. Find p such that -4/5*p + q*p**2 + 2/5 = 0.
1
Let j(c) = -c**2 + 5*c + 12. Let m(f) = 6*f**2 - 26*f - 60. Let y(x) = 14*j(x) + 3*m(x). Factor y(w).
4*(w - 3)*(w + 1)
Let g be 4/(-10) - (-4)/5. Solve -g*y**3 + 0*y**2 + 2/5*y - 1/5*y**4 + 1/5 = 0 for y.
-1, 1
Suppose 0 = -4*u + 5*u + u. Suppose 3/4*l**4 + 1/4*l**2 + u + 1/4*l**5 + 3/4*l**3 + 0*l = 0. Calculate l.
-1, 0
Let f(j) be the third derivative of 1/15*j**5 + 0*j + 0 + 0*j**4 - 2/3*j**3 + 6*j**2. Solve f(y) = 0 for y.
-1, 1
Let m be -5*(-2)/(-15)*-3. Find p, given that 0*p**2 + p**m + 2*p - 4*p = 0.
0, 2
Let s be -4 + (292/96 - -1). Let v(l) be the third derivative of 0 + 0*l**3 + 0*l + 1/120*l**5 + l**2 - s*l**4. Factor v(z).
z*(z - 2)/2
Suppose 2*j + 2 = j. Let k be 1 + j - -2 - -2. Let 3*w**2 + 1 + 0*w**3 - 2*w**k - 2 = 0. What is w?
-1/2, 1
Let v = 223 - 443/2. Factor 0 + v*w**3 + 5/2*w**2 - w.
w*(w + 2)*(3*w - 1)/2
Let x(f) = -23*f**4 - 18*f**3 + 35*f**2 + 49*f + 36. Let q(n) = 4*n**4 + 3*n**3 - 6*n**2 - 8*n - 6. Let i(w) = 34*q(w) + 6*x(w). Factor i(z).
-2*(z - 2)*(z + 1)**2*(z + 3)
Let f(z) be the second derivative of 3/32*z**4 + 0 + 3/160*z**5 + 0*z**2 + 1/8*z**3 + z. Factor f(u).
3*u*(u + 1)*(u + 2)/8
Let b(m) be the first derivative of 0*m**2 - 2*m - 1/20*m**5 + 1 + 1/6*m**4 - 1/6*m**3. Let l(y) be the first derivative of b(y). Determine v so that l(v) = 0.
0, 1
Suppose -3*x + 7 = -j, 4*j - 22 = -4*x - 2. Let g(y) be the first derivative of 8/21*y**3 + j - 4/7*y + 1/7*y**2 - 3/14*y**4. Factor g(d).
-2*(d - 1)**2*(3*d + 2)/7
Let y(k) be the first derivative of -1/3*k**2 - 8 - 1/6*k**4 - 4/9*k**3 + 0*k. Let y(h) = 0. What is h?
-1, 0
Let u(s) be the second derivative of s**7/168 - s**5/40 + s**3/24 + 4*s. Factor u(f).
f*(f - 1)**2*(f + 1)**2/4
Let r(z) = z**3 + 13*z**2 - 14*z + 5. Let c be r(-14). What is i in 2*i**3 - 3*i**c + 5*i**5 - 5*i**3 + i**3 = 0?
-1, 0, 1
Let c(n) = 4*n**3 + 4*n**2 - 2. Let r(f) = -f**4 + 7*f**3 + 7*f**2 - f - 5. Let q(m) = 5*c(m) - 2*r(m). Factor q(x).
2*x*(x + 1)**3
Let u(a) be the third derivative of a**5/15 - a**4/6 - 4*a**3/3 + 4*a**2. Factor u(z).
4*(z - 2)*(z + 1)
Let k = 215 + -151. Let d be 80/k + (-2)/4. Factor -3/4*t**3 - 3/4 + 3/4*t**2 + d*t.
-3*(t - 1)**2*(t + 1)/4
Let p = 4 - 1. Factor -y**3 + 3*y**4 + 2*y**4 - 3*y**4 - p*y**3.
2*y**3*(y - 2)
Let l(b) be the second derivative of b**7/3780 - b**5/45 + 3*b**4/4 + 2*b. Let p(w) be the third derivative of l(w). Factor p(h).
2*(h - 2)*(h + 2)/3
Let j(a) be the second derivative of -a**6/2160 + a**5/720 - a**3/2 - 2*a. Let v(c) be the second derivative of j(c). Factor v(o).
-o*(o - 1)/6
Suppose -h = 3*v - 5, -3*v + 6*h - 3 = 3*h. Let o(m) be the first derivative of v + 0*m**2 + 0*m - 1/6*m**3. Factor o(i).
-i**2/2
Let a(z) = -z**2 + 7*z + 10. Let g be a(8)