lculate d.
-1/3, 0, 1
Let t(b) = 52*b**3 - 20*b**2 - 14*b. Let x(o) = 10*o**3 - 4*o**2 - 3*o. Let y(v) = 3*t(v) - 14*x(v). Factor y(r).
4*r**2*(4*r - 1)
Let r(w) = -w**3 + 99*w**2 - 771*w + 2045. Let u(l) = 2 - 1 - 4*l**2 + l + 3*l**2 - l**3. Let f(o) = -r(o) - 3*u(o). Factor f(v).
4*(v - 8)**3
Let g(z) be the third derivative of z**6/40 + 3*z**5/20 - z**4/8 - 3*z**3/2 + 58*z**2 + 2. Factor g(h).
3*(h - 1)*(h + 1)*(h + 3)
Let i(x) be the second derivative of 3/2*x**2 - 7/20*x**5 + 7/6*x**3 - 39*x + 0 - 1/4*x**4. Determine q, given that i(q) = 0.
-1, -3/7, 1
Let a = 46/55 - 488/715. Solve 2/13*b**2 + 4/13*b**3 - a*b**4 + 0 - 4/13*b = 0 for b.
-1, 0, 1, 2
Determine v so that 3*v**4 - 4*v**3 + 4*v + 2 - 7*v**4 + 3*v**2 + 2*v**4 - 3*v**2 = 0.
-1, 1
Suppose -y**4 - 52*y**3 + 169 - 168*y**2 + 26*y + 26*y**3 + 0*y**4 = 0. Calculate y.
-13, -1, 1
Let g be 6 - 0 - (-1)/((-2)/12). Solve g*k + 2/13*k**5 - 2/13*k**3 - 14/13*k**2 + 6/13*k**4 + 8/13 = 0 for k.
-2, -1, 1
Let v(w) be the third derivative of -6*w**2 + 0*w - 1/240*w**5 + 1/48*w**4 + 0 - 1/24*w**3. Factor v(d).
-(d - 1)**2/4
Let c = 299 - 299. Let f(z) be the first derivative of -2/9*z**3 - 1/9*z**6 - 3 + 1/6*z**4 + 2/15*z**5 + 0*z + c*z**2. Factor f(b).
-2*b**2*(b - 1)**2*(b + 1)/3
Find z, given that z**3 - 10*z**3 - 12*z**3 + 21*z - 18 - 901*z**4 + 904*z**4 + 15*z**2 = 0.
-1, 1, 6
Let u(a) be the third derivative of -a**7/42 + a**6/8 + a**5/3 - 8*a**2. Suppose u(b) = 0. What is b?
-1, 0, 4
Suppose 2 = z + p, -3*z + 5*p = -2 - 12. Let x = -296 + 896/3. Factor x*b + 2/3*b**z - 8/3*b**2 + 0.
2*b*(b - 2)**2/3
Let n(v) be the second derivative of v**10/70560 - v**9/17640 + v**8/15680 + v**4/2 - 13*v. Let s(u) be the third derivative of n(u). Factor s(i).
3*i**3*(i - 1)**2/7
Suppose -4*c = -5*g - 25, 3*g - g = c - 10. Let l(r) be the second derivative of 1/90*r**6 - 1/36*r**4 + c*r**2 - 1/9*r**3 + 0 + 1/30*r**5 + 3*r. Factor l(q).
q*(q - 1)*(q + 1)*(q + 2)/3
Let b(o) = 25*o**3 + 595*o**2 - 6885*o + 12150. Let d(j) = j**3 + 22*j**2 - 255*j + 450. Let g(t) = -2*b(t) + 55*d(t). Suppose g(l) = 0. Calculate l.
-10, 3
Suppose -w = 2*l - 15, 182*w = -4*l + 184*w + 2. Find b such that -3/2*b**3 + 3/2*b**l + 3 + 3/2*b - 9/2*b**2 = 0.
-1, 1, 2
Let i be (-8)/4*(44/8 - 7). Factor 1/2*r**2 + r**4 + 0 + 0*r + r**5 - 7/4*r**i.
r**2*(r + 2)*(2*r - 1)**2/4
Let q(c) be the second derivative of c**4/4 - 12*c**3 + 216*c**2 + 17*c - 3. Factor q(i).
3*(i - 12)**2
Let n(y) be the second derivative of -y**7/189 + 2*y**6/45 - 13*y**5/90 + 2*y**4/9 - 4*y**3/27 + 104*y. Determine g so that n(g) = 0.
0, 1, 2
Determine k, given that -109*k - 104*k - 5*k**4 + 223*k + 20*k**3 - 25*k**2 = 0.
0, 1, 2
Let s(y) = 48*y**4 - 1230*y**3 + 1749*y**2 - 651*y + 78. Let n(z) = -z**3 - z**2 + 1. Let m(c) = -6*n(c) + s(c). What is p in m(p) = 0?
1/4, 1, 24
Solve 2/7*x**2 + 106/7*x + 0 = 0 for x.
-53, 0
Suppose 19*i - 1 = 37. Let n(m) = m**2 - 1. Let x(o) = -o**5 - 2*o**3 - 4*o**2 + 5*o**2 - 1 + 3*o**3. Let f(t) = i*n(t) - 2*x(t). What is s in f(s) = 0?
-1, 0, 1
Let p(l) = -5*l**3 - 10*l**2 - 10*l - 10. Let g(u) be the first derivative of u**2/2 + u - 10. Let o(f) = 10*g(f) + p(f). Find q such that o(q) = 0.
-2, 0
Suppose 4 = -q + 3*q + 4*o, q = -4*o. Suppose 2*k + q = -v + 4*k, 2*k = -4*v + 14. Factor -29*l**2 + 10*l**3 + v*l**3 + 17*l**2 - 3*l**4.
-3*l**2*(l - 2)**2
Let b(d) be the first derivative of -5*d**4/12 + 5*d**3 - 25*d**2/2 + 8*d + 31. Let j(g) be the first derivative of b(g). Factor j(u).
-5*(u - 5)*(u - 1)
Let s(g) = -294*g**4 + 1353*g**3 - 1872*g**2 + 759*g - 105. Let n(b) = -147*b**4 + 676*b**3 - 936*b**2 + 380*b - 52. Let w(y) = 9*n(y) - 4*s(y). Factor w(h).
-3*(h - 2)**2*(7*h - 2)**2
Let 12*w + w + 3 - 1442*w**3 + 21*w**2 + 1457*w**3 + 4*w**4 = 0. What is w?
-1, -3/4
Let p(y) = 45*y**2 + 120*y + 27. Let r(m) = -5*m**2 + 3 - 5*m**2 - 30*m - m**2 - 10. Let b(u) = 2*p(u) + 9*r(u). Suppose b(a) = 0. What is a?
-3, -1/3
Let h(c) be the second derivative of -1/240*c**5 - 1/144*c**4 + 0 + 6*c + 1/360*c**6 + 0*c**2 + 1/72*c**3. Factor h(v).
v*(v - 1)**2*(v + 1)/12
Let l = 1007 + -5028/5. Let j(s) be the first derivative of 6 + 6/5*s**3 + 1/2*s**4 + 4/5*s + 2/25*s**5 + l*s**2. Factor j(v).
2*(v + 1)**3*(v + 2)/5
Let h(f) = -2*f**3 + 1. Suppose 1 = 24*a - 25*a. Let m(r) = -r**3 + r**2 + 1. Let b(q) = a*h(q) + m(q). Factor b(k).
k**2*(k + 1)
Let r(o) = -o - 25*o**3 - 32*o + 15 - 14*o**3 + 57*o**2. Let b(w) = -19*w**3 + 29*w**2 - 17*w + 7. Let d(s) = -7*b(s) + 3*r(s). Factor d(f).
4*(f - 1)*(2*f - 1)**2
Factor -40/9*w**3 + 8/9*w**2 + 0 + 2*w**4 + 0*w.
2*w**2*(w - 2)*(9*w - 2)/9
Let p(v) = v**5 - v**4 + v**3 - v**2 - 1. Let r(c) = 6*c**5 - 18*c**4 - 3*c**3 + 15*c**2 + 3. Let j(m) = -3*p(m) - r(m). Find h, given that j(h) = 0.
-2/3, 0, 1, 2
Let j(s) = 24*s + 13 - 7*s**3 + 2*s**2 + s**3 - 25*s + 5*s**2. Let o(n) = -n**3 + n**2 + 2. Let d(x) = -6*j(x) + 39*o(x). Factor d(z).
-3*z*(z - 1)*(z + 2)
Let b(g) = 6*g**3 + 6*g**2 - 12*g - 2. Let d(f) = -32*f**3 - 28*f**2 + 60*f + 11. Let k(x) = -11*b(x) - 2*d(x). Find h such that k(h) = 0.
-6, 0, 1
Let v(r) be the first derivative of 3*r**5/100 + r**4/20 - 15*r - 5. Let l(k) be the first derivative of v(k). Factor l(m).
3*m**2*(m + 1)/5
Let u(p) be the third derivative of p**8/672 - p**7/60 + p**6/48 + 7*p**5/120 - p**4/8 + 927*p**2. Determine k so that u(k) = 0.
-1, 0, 1, 6
Let d = -13 + 21. Let 4*u + d*u**3 - 3 + 3*u**4 - 10*u - 2*u**3 = 0. What is u?
-1, 1
Let l be (-15)/(-360) - 0/3. Let w(n) be the second derivative of 0*n**2 + 0 - 8*n - l*n**3 + 1/48*n**4. Factor w(s).
s*(s - 1)/4
Suppose -39 = -3*n - 57, -a + 14 = -2*n. Factor 7*u**3 + 13/2*u - 1 - 25/2*u**a.
(u - 1)*(2*u - 1)*(7*u - 2)/2
Let c(i) = -i**3 - 10*i**2 - i - 5. Let v(u) = -2*u**2 - u - 1. Let g(l) = 2*c(l) - 10*v(l). Factor g(t).
-2*t*(t - 2)*(t + 2)
Suppose -19*s + 408 = -2*s. Let r = 8 - 4. Find t, given that 6*t**2 - s*t**4 + 2 - 16*t**3 - r*t**5 - 6*t**5 + 9*t + t**5 = 0.
-1, -1/3, 2/3
Let w(q) = -q**2 - q - 4. Let f(o) = -7*o**2 - o - 28. Let h(x) = -f(x) + 6*w(x). Factor h(i).
(i - 4)*(i - 1)
Let f be (-504)/(-840)*(5 - 0). Determine m, given that -2/3*m**f - 1/6 + 1/6*m**2 + 2/3*m = 0.
-1, 1/4, 1
Find j such that 76*j**2 - 12*j**3 - 48*j - 96 + 3*j + 3*j - 36*j - 10*j = 0.
-2/3, 3, 4
Let v(j) be the second derivative of -j**7/27 + 2*j**6/27 - j**5/30 - 38*j. Factor v(w).
-2*w**3*(w - 1)*(7*w - 3)/9
Let d(u) be the third derivative of u**8/336 - u**7/70 - u**6/60 + u**5/5 - u**4/3 + 45*u**2. Factor d(p).
p*(p - 2)**2*(p - 1)*(p + 2)
Let v = -13 + 16. Factor 0*f**v + 21*f**2 - 25*f**2 + 4*f**3.
4*f**2*(f - 1)
Let c(i) be the second derivative of i**5/5 - i**4 + 4*i**3/3 - 2*i + 77. Factor c(j).
4*j*(j - 2)*(j - 1)
Let s(d) = 7*d - 20 - 9*d + 6*d. Let t be s(15). Solve -t*b**3 + 45*b**3 + 0*b**2 + 0*b**2 = 0 for b.
0
Let m(v) = -8 - 7*v**2 - 6 + 40*v**3 - 41*v**3 - 5*v. Let f be m(-7). Factor 2*u - u + 40*u**4 + f*u**5 - 109*u**4 + 81*u**3 + 5*u - 39*u**2.
3*u*(u - 1)**3*(7*u - 2)
Let w(f) = 5*f**3 + 2*f**2 + 2*f + 1. Let c be w(-1). Let g be 0*(c + (2 + 4 - 3)). Let 0*z**2 - 1/3*z**5 + 0*z + 1/3*z**4 + g + 2/3*z**3 = 0. Calculate z.
-1, 0, 2
Suppose -29*v + 345 = 40*v. Let n(s) be the first derivative of -1/2*s**2 + v + 1/20*s**4 - 3/5*s - 1/15*s**3. Factor n(g).
(g - 3)*(g + 1)**2/5
Let r be 1*(-1)/(-6)*(2 - -2). Let 0 - p**3 - r*p - 7/3*p**2 + 7/3*p**4 + 5/3*p**5 = 0. What is p?
-1, -2/5, 0, 1
Let o be (8/10)/((-9)/90). Let v = o + 10. Let -3*r - r + 2*r**2 + v*r**2 = 0. What is r?
0, 1
Let p(j) be the first derivative of 2/57*j**3 + 5/19*j**2 + 12/19*j + 7. Factor p(h).
2*(h + 2)*(h + 3)/19
Let v = 8745/13 + -6219671/9243. Let d = 2/237 - v. Factor -d*b**2 + 0 + 0*b.
-2*b**2/9
Let q(h) be the first derivative of 9/20*h**4 - 3/5*h**2 + 3/25*h**5 + 12 - 1/10*h**6 - 1/5*h**3 + 0*h. Determine y, given that q(y) = 0.
-1, 0, 1, 2
Let c(l) = -l**3 - l**2 + 1. Let y(r) = -2*r**2 + 2. Let k(a) = -2*a**3 - a**2 + 2*a + 2. Let j be k(-1). Let q(v) = j*y(v) - 2*c(v). Factor q(b).
2*b**3
Let h be 15/(-2 - -5) - 3. Suppose h = 2*l - l. Find c such that -l*c - c + 2*c**2 + 3*c**3 + c**2 - 3 = 0.
-1, 1
Let y(j) = 16*j**3 - 9*j**2 - 5. Let q(t) = 8*t**3 - 5*t**2 - 3. Let h(z) = -5*q(z) + 3*y(z). Factor h(x).
2*x**2*(4*x - 1)
Let x(j) =