 u such that -a*u - 3*u - 172*u**3 + 177*u**3 = 0.
-1, 0, 1
Let -2*p**4 - p**3 + 2*p**3 - 6*p**3 - p**3 + 16*p + 12*p**2 + 0*p**3 = 0. Calculate p.
-4, -1, 0, 2
Let w = -67/90 + 4/5. Let v(k) be the second derivative of 3*k + 2/3*k**2 + w*k**4 + 0 - 1/3*k**3. Suppose v(b) = 0. What is b?
1, 2
Let n(h) = h**4 - h**3 + h**2 + h + 1. Let x(p) = 6*p**4 - 5*p**3 + 19*p**2 + 21*p + 12. Let d(j) = 35*n(j) - 5*x(j). What is w in d(w) = 0?
-1, 5
Let w(z) be the second derivative of -5*z**4/42 + 2*z**3/21 - 324*z. Let w(i) = 0. What is i?
0, 2/5
Let s(p) be the third derivative of -p**5/12 + 85*p**4/12 - 1445*p**3/6 - 2*p**2 - 32. Factor s(t).
-5*(t - 17)**2
Let z(w) = -4*w - 8. Let q be z(-8). Suppose 5*m = q + 1. What is s in 6*s**2 - 34*s**5 + 2*s**5 - 15*s**3 - 13*s**4 + 5*s**m - 35*s**4 = 0?
-1, 0, 2/9
Let d(f) = -f**3 + 68*f**2 - 127*f - 329. Let z be d(66). Factor -1/4*c**2 - z + 5/4*c.
-(c - 4)*(c - 1)/4
Let k(s) = -3*s**3 - s**2 + s. Let y(r) = -r**4 - r**3 - r**2 + r. Let d be ((-36)/32)/1 + (-3)/(-24). Let t(x) = d*k(x) + y(x). Solve t(q) = 0.
0, 2
Suppose -4*f + 37 = c + 11, -3*c = 5*f - 36. Let y(u) be the second derivative of 0*u**2 + 0*u**4 + 0*u**3 + 1/20*u**5 + 0 - f*u. Factor y(p).
p**3
Factor 0 - 2/7*k**3 - 118/7*k**2 + 120/7*k.
-2*k*(k - 1)*(k + 60)/7
Factor -2*x**2 + 3/2*x + 1/2*x**3 + 0.
x*(x - 3)*(x - 1)/2
Let w(k) be the second derivative of 0 + 1/4*k**4 + 9*k - k**3 + 3/2*k**2. Solve w(z) = 0 for z.
1
Let j(i) be the third derivative of -i**9/1008 - i**8/560 + 22*i**3/3 - 37*i**2. Let q(l) be the first derivative of j(l). Factor q(v).
-3*v**4*(v + 1)
Let w(c) be the third derivative of 0*c + 5/24*c**4 + 0*c**3 - 21*c**2 + 1/8*c**5 + 1/48*c**6 + 0. Factor w(o).
5*o*(o + 1)*(o + 2)/2
Let k(j) be the third derivative of 33*j**8/224 - 3*j**7/70 - 11*j**6/24 + j**5/6 + 11*j**4/48 - j**3/6 + 5*j**2 - 4*j. Solve k(y) = 0.
-1, -1/3, 2/11, 1/3, 1
Let s(l) be the second derivative of l**6/75 + 6*l**5/25 + 7*l**4/10 - 98*l**3/15 - 5*l + 60. Factor s(r).
2*r*(r - 2)*(r + 7)**2/5
Determine d so that -5/4*d - 3/2 - 1/4*d**2 = 0.
-3, -2
Suppose x - 2*j + 5*j = 26, 0 = -3*j + 9. Determine u so that x - 4*u**2 - u**2 - 18*u + 13*u + 13 = 0.
-3, 2
Let w(k) be the third derivative of k**5/120 + k**4/4 + 14*k**2. Factor w(f).
f*(f + 12)/2
Let -48 + 144*h**2 + 68*h**2 - 224*h - 2*h**3 - 42*h**3 = 0. Calculate h.
-2/11, 2, 3
Let t(z) = 10*z**2 - 2*z + 4. Let c(h) = -2*h**2 - 2*h + 1. Let v(g) = 4*c(g) + t(g). Factor v(a).
2*(a - 4)*(a - 1)
Let t = 28 - 25. Factor -5*h**3 + 10*h - 10*h - t*h**2 + 8*h**2.
-5*h**2*(h - 1)
Let u(f) be the third derivative of 0 + 2/15*f**5 + 0*f - 1/30*f**6 + 0*f**3 - 43*f**2 + 0*f**4. Factor u(l).
-4*l**2*(l - 2)
Let u(w) be the first derivative of -w**8/2520 - w**7/1260 - 10*w**3/3 - 12. Let t(k) be the third derivative of u(k). Suppose t(s) = 0. Calculate s.
-1, 0
Find y, given that -27*y**4 + 10*y**3 - 27*y**2 + 20*y - 8*y**2 + 32*y**4 = 0.
-4, 0, 1
Suppose -2*y + 5 = g, -y - 5 + 3 = -4*g. Factor -4*w**3 - 5*w**2 + 0*w**y + 2*w**2 + w**3.
-3*w**2*(w + 1)
Solve 2*r + 8*r - 3*r**2 + r - 5*r = 0.
0, 2
Factor -4/17*p**2 + 0 + 4/17*p**4 + 0*p**3 - 2/17*p**5 + 2/17*p.
-2*p*(p - 1)**3*(p + 1)/17
Let y(d) be the first derivative of -3*d**2 - 3/4*d**4 + 19 + 0*d + 3*d**3. Factor y(c).
-3*c*(c - 2)*(c - 1)
Let p(y) be the second derivative of y**7/105 - 2*y**6/75 - 3*y**5/50 - 28*y. Factor p(u).
2*u**3*(u - 3)*(u + 1)/5
Let q = 1872 - 5614/3. Find i such that -q*i**3 + 2/3 + 2/3*i - 2/3*i**2 = 0.
-1, 1
Let i(o) be the second derivative of -2/9*o**4 + 1/12*o**5 - 19*o + 2/9*o**3 - 1/90*o**6 + 0*o**2 + 0. Suppose i(m) = 0. Calculate m.
0, 1, 2
Let r be 4/(-40) + 513/2430 - (-26)/9. Factor -5/3*f**5 + 0*f**2 + 0 + 0*f + 10/3*f**4 - 5/3*f**r.
-5*f**3*(f - 1)**2/3
Suppose -5 = -2*v + 377*b - 376*b, 2*v + 4*b + 20 = 0. Factor v - 4/3*s**4 + 0*s - 2/3*s**5 + 0*s**2 - 2/3*s**3.
-2*s**3*(s + 1)**2/3
Let d(y) = -y + 5. Let u be d(8). Let n be (-2*12/u)/2 - 1. Factor -1/3*q**n - q - 1/3 - q**2.
-(q + 1)**3/3
Let z(r) = 11*r**2 + 347*r - 10457. Let v(o) = -9*o**2 - 348*o + 10455. Let f(l) = -7*v(l) - 6*z(l). Factor f(h).
-3*(h - 59)**2
Let d(j) be the third derivative of j**5/540 + 130*j**2. Suppose d(m) = 0. Calculate m.
0
Suppose -1 - 5 = -y + 4*x, 0 = y + 5*x - 6. Factor 6*n + 0*n**2 - y - 10*n + 2*n**2.
2*(n - 3)*(n + 1)
Let s be (264/(-18) + 6 + 6)/(-2). Let n(l) be the first derivative of 16*l + 8*l**2 + 8 + s*l**3. Suppose n(y) = 0. Calculate y.
-2
Factor -65*m**2 + 24*m**2 + 66 + 29*m**2 + 21*m**2 + 105*m.
3*(m + 11)*(3*m + 2)
Determine p, given that 11/10*p + 3 + 1/10*p**3 + 1/10*p**4 - 19/10*p**2 = 0.
-5, -1, 2, 3
Let y(g) = 14*g**2 - 42*g - 7. Let z(x) = 6*x**2 - 19*x - 4. Let l(q) = 2*y(q) - 5*z(q). Determine v, given that l(v) = 0.
-1/2, 6
Let w = -24631/15 - -1643. Factor 32/15 - w*o**2 + 2/15*o**3 + 16/15*o.
2*(o - 4)**2*(o + 1)/15
Let y(r) be the first derivative of 54 - 4*r - 1/3*r**3 - 2*r**2. Determine u, given that y(u) = 0.
-2
Let v be (-627)/(-132) - 3*1/4. Factor -12*n**2 + 23 + 9*n**v + 16*n - 7 - 8*n**3 - 5*n**4.
4*(n - 2)**2*(n + 1)**2
Factor -12/5*d - 2/5*d**2 - 2.
-2*(d + 1)*(d + 5)/5
Let d(j) be the third derivative of 0 + 1/210*j**5 + 0*j**3 + 1/84*j**4 + 0*j + 19*j**2. Factor d(s).
2*s*(s + 1)/7
Let i(r) be the second derivative of -r**4/21 + 10*r**3/3 + 148*r**2/7 + 3*r - 41. Factor i(g).
-4*(g - 37)*(g + 2)/7
Let z(m) be the second derivative of 9*m**5/10 - 11*m**4/2 + 19*m**3/3 - 3*m**2 + 6*m + 9. Factor z(c).
2*(c - 3)*(3*c - 1)**2
What is t in 6*t - 4*t**2 + t**3 + 5*t - 26 + 30*t - 13*t**2 + t**2 = 0?
1, 2, 13
Let i(z) = -17*z**2 + 15*z + 32. Let m(a) = -4*a**2 + 4*a + 8. Let g(b) = -2*i(b) + 9*m(b). Factor g(l).
-2*(l - 4)*(l + 1)
Suppose 5*i - 19 = -g - 6, -5*g + i + 91 = 0. Let h be (-27)/(-30)*8/g. Factor 2/15*s**5 + 0*s + 0*s**4 + 4/15*s**2 - h*s**3 + 0.
2*s**2*(s - 1)**2*(s + 2)/15
Factor 32/15*o - 2/15*o**2 - 22/3.
-2*(o - 11)*(o - 5)/15
Let m be (-7)/42 + (-39)/(-180). Let i(t) be the third derivative of 0*t**4 + 1/2*t**3 - t**2 + 0 + 0*t - m*t**5. Determine s so that i(s) = 0.
-1, 1
Let i(k) be the first derivative of 4*k**3/3 + 106*k**2/7 - 96*k/7 + 288. Factor i(v).
4*(v + 8)*(7*v - 3)/7
Let x(n) be the second derivative of n**7/210 + 7*n**6/120 - 17*n**5/60 + 3*n**4/8 + 6*n**2 + 26*n. Let s(d) be the first derivative of x(d). Factor s(o).
o*(o - 1)**2*(o + 9)
Let u be -1*(2/(-4))/((-1)/(-4)). Factor 24*s - 26*s**2 + 90 + 6*s**u - 9*s + 2*s**3 - 7*s**3.
-5*(s - 2)*(s + 3)**2
Let s(f) be the third derivative of -f**6/60 + 53*f**5/15 - 2809*f**4/12 + 123*f**2. Factor s(m).
-2*m*(m - 53)**2
Factor -7/2 - 11/2*v**2 - v**3 + 10*v.
-(v - 1)*(v + 7)*(2*v - 1)/2
Suppose 0*r + 5*r - 35 = 0. Suppose -23 = -4*c - r. Let l(j) = -j**2 - 4. Let p(f) = -3*f**2 - 11. Let h(a) = c*p(a) - 11*l(a). Factor h(m).
-m**2
Let s = 22118 - 22116. Solve -1/4*r**s + 0 + 9/4*r = 0.
0, 9
Let j(g) = 3*g + 3. Let m be j(7). Let h = m - 260/11. Suppose 6/11*a**4 + h - 10/11*a**2 + 10/11*a**3 - 10/11*a = 0. What is a?
-2, -1, 1/3, 1
Let y(p) be the second derivative of -p**5/70 - 2*p**4/7 - p**3 + 14*p**2 + 73*p. Suppose y(b) = 0. Calculate b.
-7, 2
Let x(d) be the first derivative of 25*d**3/12 + 35*d**2/8 + 5*d/2 - 171. Determine h so that x(h) = 0.
-1, -2/5
Let n(g) = g**2 - g + 2. Suppose 2 - 4 = -f. Let i be n(f). Factor 8*l - 3*l**5 + l**5 - 8*l + 2*l**i.
-2*l**4*(l - 1)
Suppose 2*b + 4*b - 2*b - 5*b**2 + 0*b**3 + b**3 = 0. Calculate b.
0, 1, 4
Let y(j) = -8*j**2 - 133*j + 54. Let d be y(-17). Factor -2/5*l + 6/5*l**d - 2/5*l**2 + 4/5*l**5 + 2*l**4 + 0.
2*l*(l + 1)**3*(2*l - 1)/5
Let f(n) = 2 + 6*n**2 - 3*n**2 + 2 + n**3. Let l(k) = -k**3 - 4*k**2 - 5. Let z = 9 - 14. Let i(q) = z*f(q) - 4*l(q). Factor i(j).
-j**2*(j - 1)
Suppose -3*j - 5*t = -7*j - 8, -2*j + 10 = t. Let b(n) be the second derivative of 0*n**2 - 4*n + 0 + 1/27*n**j + 1/90*n**5 + 1/27*n**4. Factor b(c).
2*c*(c + 1)**2/9
Suppose -46*h - 124 = 22*h - 396. Solve 16/7 - 40/7*u**3 + 16/7*u - 4*u**2 - 12/7*u**h = 0.
-2, -1, 2/3
Let k(y) be the third derivative of y**6/80 + 7*y**5/20 - 49*y**4/16 + 17*y**3/2 - 113*y**2. Factor k(v).
3*(v - 2)*(v - 1)*(v + 17)/2
Let f = -31/8 + 33/8. Let t(z) be the third derivative of 0 - f*z**5 + z**3 + 0*z - 1/8*z**4 + 1