 Let l be r(5). Suppose -3 - l = -2*d. Factor 0*s**3 - 5*s**5 + 8*s**4 + 0*s**5 - s**3 - d*s**2.
-s**2*(s - 1)**2*(5*s + 2)
Let n(p) = -p**3 + 8*p**2 + 2*p - 11. Let z be n(8). Let v be z/9 + 4/(-12). Solve -2/3*h - 4/9 - v*h**2 = 0.
-2, -1
Let a(i) be the first derivative of i**5/15 + i**4/12 - i**3/3 - 5*i**2/6 - 2*i/3 - 11. Factor a(r).
(r - 2)*(r + 1)**3/3
Let o be (-36)/(-30)*20/6. Solve 3*l**4 + 3*l**3 - 5*l**o + 3*l**4 + l + 3*l**2 = 0.
-1, 0
Suppose m + 137 = -3*u + 2*m, -m = 2*u + 88. Let n be (1/(-3))/(3/u). Determine p, given that 0*p**3 - 4*p + 3*p**2 + 1 + n*p**3 - p - 4*p**4 = 0.
-1, 1/4, 1
Let l be 50/144 - (-8)/(-36). Let t(o) be the first derivative of -2 + l*o**2 + 1/2*o - 1/12*o**3. Factor t(g).
-(g - 2)*(g + 1)/4
Let u(h) be the second derivative of -1/60*h**4 + 0 + 5*h + 1/10*h**2 + 0*h**3. Solve u(o) = 0 for o.
-1, 1
Suppose k - 2*k + 3 = 0. Let p be k/14 - 22/(-77). Find m, given that m**3 - m**2 - 1/2*m**5 + 1/2*m**4 - p*m + 1/2 = 0.
-1, 1
Let l(x) be the first derivative of x**4/30 - 2*x**3/45 - 2*x**2/15 - 2. Factor l(t).
2*t*(t - 2)*(t + 1)/15
Let c(p) = p**3 - 7*p**2 + 2. Let a be c(7). Determine m, given that 20*m - 28*m**2 + a + 6 + 0 = 0.
-2/7, 1
Let w(i) be the second derivative of -i**5/40 + i**4/96 + 11*i**3/48 + 3*i**2/8 + 23*i. Factor w(f).
-(f - 2)*(f + 1)*(4*f + 3)/8
Let f(l) be the first derivative of -l**4/2 + 4*l**3 - 12*l**2 + 16*l + 10. Let f(i) = 0. What is i?
2
Suppose -6 = -u - 4. Let p = u + -2. Factor p + 2/5*v**3 - 4/5*v**2 + 2/5*v.
2*v*(v - 1)**2/5
What is a in -16*a - 12*a**2 - 4*a**4 - 10 + 16*a**3 - 1 + 27 = 0?
-1, 1, 2
Suppose -7*y + 26 = -2. What is w in -1 - 3/2*w**2 + y*w**3 + 2*w**4 - 7/2*w = 0?
-2, -1/2, 1
Let b(j) be the second derivative of -j + 0*j**2 + 1/12*j**4 + 0 - 1/6*j**3. Factor b(g).
g*(g - 1)
Let u = -16 + 22. Determine k, given that 0*k + 2*k - k**2 + u*k - 7*k = 0.
0, 1
Factor 100*h**5 + 32/5*h**2 + 0 + 0*h + 48*h**3 + 120*h**4.
4*h**2*(5*h + 2)**3/5
Let q(n) be the third derivative of -n**5/20 - n**4/4 - n**3/2 + 13*n**2. Factor q(g).
-3*(g + 1)**2
Let g be 2 + (3 - 2) + -4. Let h(j) = -j. Let c(p) = p**2. Let d(r) = g*h(r) + c(r). Factor d(q).
q*(q + 1)
Suppose 0*g + 5*g - 5 = 0. Factor 2*i - 2*i**3 - i**5 + g + 4*i**2 + 2*i - 5*i**4 - i**5.
-(i - 1)*(i + 1)**3*(2*i + 1)
Suppose -4/7 - 4/7*s - 4/7*s**5 + 8/7*s**2 + 8/7*s**3 - 4/7*s**4 = 0. Calculate s.
-1, 1
Suppose 204 = 2*c - 42. Let -3 - 2 - 39*f**2 + 72*f - c*f**2 - 3 = 0. What is f?
2/9
Let x(d) = d**3 - 14*d**2 + 12*d + 13. Let q be x(13). Let -3*s + 2*s**2 - 4*s**3 + 2*s + q*s**3 + 3*s**3 = 0. Calculate s.
0, 1
Suppose 0 = -4*t - t + 4*o + 80, 0 = -4*o + 20. Suppose -4*u - t = -4*r, -3*r + 20 = -3*u + r. Factor 4/3*l**3 - 1/3*l**4 + u - 5/3*l**2 + 2/3*l.
-l*(l - 2)*(l - 1)**2/3
Let l(d) be the third derivative of -d**6/40 - d**5/5 + d**4/8 + 2*d**3 + 12*d**2. Let l(a) = 0. Calculate a.
-4, -1, 1
Let c be 1 + (3 - (2 - 6)). Suppose -3*h = -20 + c. Solve 2*f**4 + 2/5*f**5 + 4*f**2 + h*f**3 + 2*f + 2/5 = 0 for f.
-1
Factor 2/15*o**4 + 0 - 8/15*o - 2/15*o**2 + 8/15*o**3.
2*o*(o - 1)*(o + 1)*(o + 4)/15
Suppose -2*a + a = -3. Factor 3*h**4 + h**5 - 4*h**3 + h**2 - 2*h**5 + h**a.
-h**2*(h - 1)**3
Factor 2/5*t**2 + 8/5*t + 6/5.
2*(t + 1)*(t + 3)/5
Let a = 14 - 9. Let y(t) be the third derivative of 0*t + 0*t**4 - 1/600*t**6 + 0*t**3 + 0 + 1/150*t**a - t**2. Factor y(j).
-j**2*(j - 2)/5
Let u(r) be the third derivative of r**8/336 + r**7/70 - r**6/120 - 11*r**5/60 - r**4/2 - 2*r**3/3 - 45*r**2. Find t, given that u(t) = 0.
-2, -1, 2
Factor -k**4 + k**3 - 2*k**2 + 3*k**4 - 5*k**3 + 4*k**4.
2*k**2*(k - 1)*(3*k + 1)
Let l(i) be the third derivative of -2*i**2 + 0*i**4 + 0*i + 0*i**6 - 1/210*i**7 + 0 + 1/240*i**5 + 0*i**3. Let l(t) = 0. What is t?
-1/2, 0, 1/2
Let r = 21 - 143/7. What is g in -6/7*g + r*g**2 + 12/7*g**3 - 6/7*g**5 - 2/7*g**4 - 2/7 = 0?
-1, -1/3, 1
Let k = 5 - 3. Factor 2*z**k + 0*z**2 + z**4 - 3*z**2.
z**2*(z - 1)*(z + 1)
Let f(u) be the second derivative of u**6/75 + 3*u**5/25 + 4*u**4/15 - 2*u**3/5 - 9*u**2/5 - 7*u. Factor f(z).
2*(z - 1)*(z + 1)*(z + 3)**2/5
Factor 2*g - 6*g**2 + 3*g**2 - 8*g - 1 + 25.
-3*(g - 2)*(g + 4)
Suppose -12*p**2 + p + 4*p + 3*p**3 + 10*p - 6 = 0. Calculate p.
1, 2
Suppose -54 = -0*r + 3*r. Let s be (-4)/r - (-32)/18. Suppose 2*q**s - 4*q**3 - 4*q**2 + q + 2*q**3 + q**2 = 0. What is q?
-1, 0, 1/2
Suppose 8/3*o + 4*o**2 + 0*o**3 + 0 - 4/3*o**4 = 0. What is o?
-1, 0, 2
Let q(j) be the second derivative of j**4/30 + j**3/3 + 4*j**2/5 + 5*j. Determine a, given that q(a) = 0.
-4, -1
Suppose -5*j + z = -54, 5*j + 2*z - 22 = 2*j. Let b be (1/2)/(1/j). Suppose -2/7*p**3 - 2/7*p**2 + 0 + 2/7*p**b + 0*p + 2/7*p**4 = 0. Calculate p.
-1, 0, 1
Let w(l) be the first derivative of 1 + 0*l - 2/5*l**5 - l**2 + 1/2*l**4 + 2/3*l**3. Determine b so that w(b) = 0.
-1, 0, 1
Let a(r) = -r**5 + r**4 + r**3 - r**2 + r. Let n = 11 + -16. Let i(h) = -6*h**5 - 2*h**3 - 4*h**2 + 13*h + 4. Let x(c) = n*a(c) + i(c). Factor x(s).
-(s - 1)*(s + 1)**2*(s + 2)**2
Let g(w) = w**3 + 8*w**2 + w + 11. Let q be g(-8). Suppose 0 = q*f + f. Suppose 0 + f*a + 2/3*a**2 + 0*a**3 - 2/3*a**4 = 0. What is a?
-1, 0, 1
Let g = 4888/112005 + 2/2489. Let l(q) be the third derivative of 2/9*q**3 + 0*q - 5/36*q**4 - 1/180*q**6 + g*q**5 + 0 - q**2. Let l(o) = 0. Calculate o.
1, 2
Find u, given that 6/23*u**2 + 2/23 + 8/23*u = 0.
-1, -1/3
Let j(t) be the third derivative of -t**8/1848 + t**7/1155 + t**6/660 - t**5/330 + 9*t**2. Factor j(k).
-2*k**2*(k - 1)**2*(k + 1)/11
Let w(t) be the first derivative of -t**6/6 - 2*t**5/5 + 3*t**4/4 + 4. Factor w(c).
-c**3*(c - 1)*(c + 3)
Let n be (-81)/(-108)*20/18*3. Find s such that -1/4*s**5 - n*s**3 - 1/4 - 5/4*s - 5/2*s**2 - 5/4*s**4 = 0.
-1
Suppose 5*h - b = -48, 2*h = -5*b + 2*b - 26. Let y = h - -13. Factor 0*d + 16/3*d**2 - 686/3*d**5 + 0 + 196*d**4 - 56*d**y.
-2*d**2*(7*d - 2)**3/3
Let u(w) be the third derivative of -w**5/12 - 5*w**4/12 + 5*w**3/2 - 12*w**2. Factor u(a).
-5*(a - 1)*(a + 3)
Factor -4/3*g + 8/3*g**2 - g**4 + 0 - 1/3*g**3.
-g*(g - 1)*(g + 2)*(3*g - 2)/3
Let c(j) be the third derivative of -j**5/20 + 13*j**2. Suppose c(l) = 0. Calculate l.
0
Let u(j) be the second derivative of -j**5/110 - j**4/33 + j**3/11 - 5*j. Determine d so that u(d) = 0.
-3, 0, 1
Let j(f) be the first derivative of -f**4/66 + f**3/33 + 2*f**2/11 + 2*f + 1. Let v(a) be the first derivative of j(a). Factor v(u).
-2*(u - 2)*(u + 1)/11
Let c = 6 + -3. Let a(p) be the second derivative of 0 + 1/6*p**4 + 1/20*p**5 + 0*p**2 + p + 0*p**c. What is o in a(o) = 0?
-2, 0
Let q = -599/3 - -200. Factor -q*k + 0 + 1/3*k**2.
k*(k - 1)/3
Suppose 3 - 11 = -2*g. Suppose 3*w + g = t + 3, 1 = w. Factor 2*k**2 + 0 + 25/2*k**t + 10*k**3 + 0*k.
k**2*(5*k + 2)**2/2
Let g(x) = -4*x**2 + 4*x**2 + x**3 - 2*x - 2*x**2 - 2*x**3 + 1. Let p be g(-2). Factor -u**4 + 18 + u**p - 18.
u**4*(u - 1)
Factor -1/4*f**2 + 1/4*f**3 + 1/4 - 1/4*f.
(f - 1)**2*(f + 1)/4
Let r = -1 - -1. Suppose r = s - d - d - 13, -6 = 3*s + 3*d. Determine g, given that -5 - 2*g**2 + 0*g**2 - 8*g - s = 0.
-2
Find g, given that -4*g**2 + 3*g**3 + 53*g**4 - 56*g**4 + 3*g**2 + g**5 = 0.
0, 1
Let f(x) = 2*x - 8. Let u be f(5). Factor -4/9*l - 2/9 - 2/9*l**u.
-2*(l + 1)**2/9
Let d be 2 + 0 - (6 - 0 - 4). Suppose -16/3*v**4 - 2/3*v**2 + 7/3*v**5 + 11/3*v**3 + 0*v + d = 0. What is v?
0, 2/7, 1
Let p - 7*p + 1 + 2*p**3 - 4 + 7 = 0. What is p?
-2, 1
Suppose -l = 3*a + a - 4, -5*l + 20 = -3*a. Factor -48 - 5*k**4 + 2*k**l - 72*k**2 + 96*k + 35*k**3 - 11*k**3.
-3*(k - 2)**4
Let f(z) = -z**4 + 5*z**3 + 3*z**2 - 3*z - 4. Let s = -10 + 5. Let t(a) = 3*a**4 - 11*a**3 - 7*a**2 + 6*a + 9. Let r(c) = s*f(c) - 2*t(c). Factor r(v).
-(v - 1)*(v + 1)**2*(v + 2)
Let t(n) be the second derivative of n**7/70 - n**6/20 + n**4/4 - n**3/2 + n**2/2 - 3*n. Let h(m) be the first derivative of t(m). Factor h(p).
3*(p - 1)**3*(p + 1)
Let k(y) be the first derivative of -y**4/16 - y**3/4 - y**2/4 - 6. Suppose k(v) = 0. Calculate v.
-2, -1, 0
Factor -58 + 0*o**3 + 106 - 15*o**2 - 60 - 3*o**3 - 24*o.
-3*(o + 1)*(o + 2)**2
Suppose 5*v + 1 - 5 = 3*i, 0 = 2*v - 4. Suppose -3*c + 2 = 3*f - 4, 0 = -5*f + i*c + 10. Factor -8/3*r**3 + f*r**4 + 0*r + 0 + 2/3*r**2.
2*r**2*(r - 1)*(3*r - 1)/3
Let n(c) = -c