5 - 4/5*l**3 + 2/5*l**4.
2*(l - 1)**3*(l + 3)**2/15
Let v(w) = 3*w**4 + 6*w**3 + 3*w**2 - 39*w - 15. Let c(q) = -q**2 + q + 1. Let j(f) = 15*c(f) + v(f). Factor j(u).
3*u*(u - 2)*(u + 2)**2
Let f(o) = -o**4 - o**3 - o**2 + 1. Let h(m) = -10*m**5 + 9*m**4 + 3*m**3 + 3*m**2 - 3. Let i(z) = 3*f(z) + h(z). Factor i(a).
-2*a**4*(5*a - 3)
Suppose -27 = 142*i - 151*i. Factor 0 + 1/4*h**4 + 0*h**2 + h - 3/4*h**i.
h*(h - 2)**2*(h + 1)/4
Let x(u) = -612*u + 1836. Let g be x(3). Factor g + 0*s - 3/4*s**3 + 9/4*s**2.
-3*s**2*(s - 3)/4
Let j(u) = -5*u**2 - 1. Let o(l) = -l**2 + l + 1. Let x(b) = -b**2 + 2*b + 2. Let c(f) = 2*o(f) - x(f). Let d(t) = -6*c(t) + j(t). Factor d(p).
(p - 1)*(p + 1)
Let f(x) be the second derivative of -3/20*x**5 - 1/3*x**4 + 1/30*x**6 + 0*x**2 + 0 + 32*x + 0*x**3. Factor f(m).
m**2*(m - 4)*(m + 1)
Let m(a) = a - 1 + 3 - 6*a + a**2. Let v be m(5). Find q, given that -v*q**3 - 5*q**2 + 0*q**3 + 5*q**2 + 2*q = 0.
-1, 0, 1
Let 112*m**2 + 5 - 26*m**2 + 115*m + 24*m**2 = 0. Calculate m.
-1, -1/22
Let y(q) be the first derivative of 0*q**3 + 0*q**2 + 0*q + 8 + 1/24*q**4. Factor y(m).
m**3/6
Let c = 6/1027 - -25651/4108. Factor c*r**5 + 0*r - 2*r**2 + 11*r**3 - 35/2*r**4 + 0.
r**2*(r - 2)*(5*r - 2)**2/4
Let k be (-4)/4*21/(-42). Suppose h + 2 - 1/4*h**3 - k*h**2 = 0. Calculate h.
-2, 2
Let x(u) = -8*u**2 - 124*u - 4. Let y(w) = -9*w**2 - 122*w - 5. Let o(d) = -5*x(d) + 4*y(d). Factor o(i).
4*i*(i + 33)
Let d be (0 - 1)/(-6 + 2406/852). Let u = d + 2/41. Solve 0 + u*s - 2/11*s**2 = 0 for s.
0, 2
Suppose -23*m**3 + 7*m**4 + 32*m**2 - 41/2*m + 5 - 1/2*m**5 = 0. Calculate m.
1, 10
Solve 9*v**2 - 6*v**3 - 12 - 3*v**4 + 97*v - 85*v + 0*v**2 = 0.
-2, 1
Let d(x) be the first derivative of x**3/3 - 2*x**2 + 175. What is u in d(u) = 0?
0, 4
Let m(i) be the third derivative of -i**6/960 + i**5/32 - 21*i**4/64 + 49*i**3/48 + 3*i**2 + 21. Find w, given that m(w) = 0.
1, 7
Let f(p) be the second derivative of -p**5/70 - 17*p**4/42 - 31*p**3/21 - 15*p**2/7 + 4*p + 10. Factor f(c).
-2*(c + 1)**2*(c + 15)/7
Determine c, given that -c - 1 + 5/4*c**2 + 3/4*c**3 = 0.
-2, -2/3, 1
Suppose 0 = -18*m + 23 + 13. Let v(w) be the first derivative of -5 + 0*w**5 + 0*w**m + 0*w**3 + 1/30*w**6 + 0*w - 1/20*w**4. Factor v(k).
k**3*(k - 1)*(k + 1)/5
Let z(w) be the first derivative of -2*w**2 - 8/3*w + 1/18*w**6 + 2/5*w**5 + 11/12*w**4 - 11 + 2/9*w**3. Factor z(j).
(j - 1)*(j + 1)*(j + 2)**3/3
Let h(r) be the second derivative of -r**5/15 - 5*r**4/6 - 8*r**3/3 + 7*r**2/2 - 14*r. Let v(s) be the first derivative of h(s). Factor v(j).
-4*(j + 1)*(j + 4)
Let b(d) = -50*d + 703. Let k be b(14). Factor -4/5*g + 8/5*g**2 + 0 + 7/5*g**4 + 19/5*g**k.
g*(g + 1)*(g + 2)*(7*g - 2)/5
Let l be 32*(6/(-4) + 3). Let y be 2 - 4/l*21. Factor -1/4*t**3 + 0*t - y*t**4 + 0*t**2 + 0.
-t**3*(t + 1)/4
Suppose 20*n**2 - 7*n - 13*n - 12*n - 17 + 1 = 0. Calculate n.
-2/5, 2
Let c = 15 - 33. Let a be (3/2)/(c/(-24)). Let -4*z + a*z**2 + 4 - 4*z**2 + 2*z = 0. Calculate z.
-2, 1
Let k(s) be the second derivative of s**5/60 + s**4/6 - 5*s**3/6 - 9*s**2 + 3*s. Let a(g) be the first derivative of k(g). Solve a(j) = 0.
-5, 1
Factor 0 + 0*f + f**2 + 39/2*f**3.
f**2*(39*f + 2)/2
Let g(v) be the second derivative of 0 - 3/16*v**4 + 17*v + 7/16*v**3 - 3/16*v**2. Factor g(z).
-3*(z - 1)*(6*z - 1)/8
Let y = -131 - -251. Find q such that 16*q**3 - 34*q + y*q**2 + 27*q**3 + 26*q**3 + 9*q**4 - 14*q = 0.
-4, 0, 1/3
Let u = 67 + -62. Suppose -u*o**2 + 15*o + 2 + 8*o**2 - 20 = 0. What is o?
-6, 1
Let u(b) be the third derivative of b**7/1470 - b**6/140 + 9*b**4/28 - 27*b**3/14 + 13*b**2 + b. Solve u(v) = 0 for v.
-3, 3
Let o(b) = -b**3 + b**2 - 4*b + 4. Let q(c) = -3*c**3 + 3*c**2 - 15*c + 15. Let f = -20 - -35. Let w(m) = f*o(m) - 4*q(m). Factor w(a).
-3*a**2*(a - 1)
Let u(m) = m**2 + 14*m + 3. Let f be u(-14). Let l be (-2)/5 - (-276)/115. Solve 0 + 1/4*x**5 + 3/2*x**f + x**l + x**4 + 1/4*x = 0.
-1, 0
Factor 193*r - 99210*r**2 + 94794*r**2 - 5*r - 2*r**4 - 188*r**3 + 4418.
-2*(r - 1)*(r + 1)*(r + 47)**2
Suppose 15*n - 5 + 5 - 47*n**3 + 142*n**3 - 65*n**2 - 55*n**4 + 10*n**5 = 0. What is n?
0, 1/2, 1, 3
Let d = -109 + 112. Determine x, given that 49 - x**d + 3*x**2 - 49 - 2*x = 0.
0, 1, 2
Let a(y) be the first derivative of -y**4/18 - 2*y**3/9 + 10*y**2/9 + 68. Let a(c) = 0. Calculate c.
-5, 0, 2
Let h = -2849/2 - -1429. Factor -3 - 3/2*b**2 - h*b.
-3*(b + 1)*(b + 2)/2
Let u(s) be the third derivative of 1/45*s**5 + 0*s**3 + 1/315*s**7 + 0 - 25*s**2 + 0*s + 1/60*s**6 + 0*s**4. Factor u(k).
2*k**2*(k + 1)*(k + 2)/3
Let u(q) be the third derivative of -q**7/105 + q**6/60 + 11*q**5/6 + 143*q**4/12 + 30*q**3 + 56*q**2 - 1. Solve u(y) = 0.
-5, -2, -1, 9
Factor 15*d**5 + 17*d**5 - 38*d**4 + 8*d**3 - 63*d**5 + 21*d**5.
-2*d**3*(d + 4)*(5*d - 1)
Let j = 5086/5 - 1014. Factor 7/5*q**2 - 1/5*q**3 - j*q + 12/5.
-(q - 3)*(q - 2)**2/5
Let f(h) be the second derivative of -h**6/50 - 3*h**5/5 - 71*h**4/10 - 42*h**3 - 1323*h**2/10 - 93*h - 2. Solve f(i) = 0 for i.
-7, -3
Suppose 35*y - 9*y**3 + y**5 + 432*y**4 - 35*y + 27*y**2 - 435*y**4 = 0. Calculate y.
-3, 0, 3
Let a = 26 + -27. Let g = a - -4. Let 6 - g + 0 - 9*m**2 + 6*m = 0. Calculate m.
-1/3, 1
What is h in 3*h**2 - 30*h - 3*h**2 + 2*h**2 - 10 + 110 = 0?
5, 10
Suppose -5*l = 3*i - 27, -22*i + 31 = 5*l - 18*i. Find d, given that 0*d + 0 + 0*d**2 + 0*d**l + 1/6*d**4 = 0.
0
Let w(y) = 11*y**3 - 32*y**2 + 34*y - 3. Suppose -a + 0 = -5. Let p(c) = -10*c**3 + 32*c**2 - 34*c + 4. Let x(f) = a*p(f) + 4*w(f). Factor x(g).
-2*(g - 4)*(g - 1)*(3*g - 1)
Let f(j) be the first derivative of j**7/3360 + j**6/288 + 11*j**3/3 + 16. Let r(u) be the third derivative of f(u). Factor r(m).
m**2*(m + 5)/4
Let s(r) be the first derivative of 0*r**2 + 1/420*r**5 + 1/1260*r**6 + 5/3*r**3 - 5 + 0*r**4 + 0*r. Let v(g) be the third derivative of s(g). Factor v(t).
2*t*(t + 1)/7
Factor -65*j**2 + 97*j**4 - 2*j**3 - 13*j**3 - 24 - 29*j**4 + j**5 - 35*j**4 - 70*j - 28*j**4.
(j - 4)*(j + 1)**3*(j + 6)
Let m(y) be the first derivative of -5*y**4 - 185*y**3/3 - 45*y**2/2 + 137. Suppose m(u) = 0. What is u?
-9, -1/4, 0
Let f(n) = 19*n**2 - 17*n + 49. Let p be 4/10 - (-256)/(-40). Let r(i) = -3*i**2 + 3*i - 8. Let o(b) = p*f(b) - 39*r(b). Determine m so that o(m) = 0.
2, 3
Factor -20/7*q**3 - 16/7*q + 0 + 2/7*q**4 + 34/7*q**2.
2*q*(q - 8)*(q - 1)**2/7
Suppose 54 = -2*l + 4*g, 6*g = -4*l + 3*g - 130. Let z = l - -35. Factor p**5 - 5*p**4 + 0*p**4 - 5*p + z*p**3 + 2*p**4 + 2*p**2 + 2 - p**4.
(p - 2)*(p - 1)**3*(p + 1)
Let x = -9326/3 + 3109. What is k in 0 + x*k**2 + 1/3*k = 0?
-1, 0
Let i(a) be the first derivative of 196*a**3 + 135*a**2/2 - 3*a - 541. Factor i(g).
3*(4*g + 1)*(49*g - 1)
Let d = 43 - 41. Let i be 7/(-9 + d) + (-4)/(-3). Find l, given that 0*l + 0*l**3 + 0 + 1/3*l**4 + 0*l**2 + i*l**5 = 0.
-1, 0
Let v(k) be the third derivative of 0*k**3 + 0*k + 1/45*k**4 - 1/100*k**6 + 0 + 8/225*k**5 - 14*k**2. Suppose v(w) = 0. What is w?
-2/9, 0, 2
Suppose 5*r - 5 = 0, -r - r = -4*x - 6. Let o be 4/x - (-6)/2*2. Solve 2/13*w**o + 2/13*w + 0 = 0 for w.
-1, 0
Let f(z) be the third derivative of 11*z**8/151200 - z**7/18900 - z**5/60 - 7*z**2. Let n(c) be the third derivative of f(c). What is q in n(q) = 0?
0, 2/11
Suppose -9 = -2*g - 5*l, 4*g - 3*l + 13 = 9*g. Let a(m) be the second derivative of 0*m**g + 0 + 0*m**3 - 5*m + 1/90*m**4. Factor a(h).
2*h**2/15
Determine g so that 224*g - 13 - 839*g**2 + 12 + 579*g**2 - 63 + 100*g**3 = 0.
4/5, 1
Let a = 176/25 - 1182/175. Factor a + 2/7*l**4 + 0*l - 4/7*l**2 + 0*l**3.
2*(l - 1)**2*(l + 1)**2/7
Suppose -2*y = -3*f - 6, -2*f - 3 = -0*f - y. Suppose -w + 9*o + 2 = 4*o, 3*w + 3*o - 6 = f. Factor w*p**2 + 2/3 - 2/3*p**3 - 2*p.
-2*(p - 1)**3/3
Let f(o) be the second derivative of -o**4/12 + 2*o**3/3 + 6*o**2 - 47*o. Suppose f(d) = 0. What is d?
-2, 6
Let u(f) be the first derivative of f**6/24 - 3*f**5/10 + 13*f**4/16 - f**3 + f**2/2 - 104. Solve u(y) = 0 for y.
0, 1, 2
Let b(k) be the first derivative of -k**7/1470 + k**5/70 + k**4/21 + 5*k**3 - 2. Let z(g) be the third derivative of b(g). Solve z(r) = 0 for r.
-1, 2
Let z = 13664/9 - 1512. Let p = 7414/9 + -822. Let 20/3*j**4 + 0 - 2*j**5 + p*j**2 - z*j**3 + 0*j = 0. What is j?
0, 2/3, 2
Let t(y) = -5*y**2 + 2