 24/5*z**5 + 40/3*z**3 - 12*z**4 - 7. Factor g(a).
-4*a*(a - 3)*(a - 1)**3
Let t(p) be the first derivative of p**4/14 + 4*p**3/3 + 9*p**2/7 - 648*p/7 - 324. Determine k so that t(k) = 0.
-9, 4
Factor -18/11 - 2/11*q**2 + 20/11*q.
-2*(q - 9)*(q - 1)/11
Let z = 1251/3410 + -1/310. Let s be -3*((-194)/(-66) + -3). Factor -2/11 - s*a**2 + z*a.
-2*(a - 1)**2/11
Let f(r) = -3*r**2 + 11*r - 3. Let p be f(3). Factor -3/5 - 3/5*x**p + 3/5*x**2 + 3/5*x.
-3*(x - 1)**2*(x + 1)/5
Let 0 - 32/5*x - 5*x**5 - 84/5*x**3 + 26*x**4 - 136/5*x**2 = 0. What is x?
-2/5, 0, 2, 4
Let j(t) be the first derivative of -t**4/10 + t**2/5 + 25. Suppose j(x) = 0. What is x?
-1, 0, 1
Let y(s) = s**2 - 10*s - 9. Let h be y(11). Suppose 0 = z, 3*w + 0*z = -h*z + 9. Factor 26*j**3 - 27*j**3 - j**2 + j - 2 + w.
-(j - 1)*(j + 1)**2
Let s = 21 + -18. Let h(t) = -3*t**2 - 2*t + 14. Let i(v) = -3*v**2 - 3*v + 15. Let p(z) = s*h(z) - 2*i(z). Determine q, given that p(q) = 0.
-2, 2
Suppose 59*v**4 + 36*v - 69*v**3 - 15*v**5 - 7*v**2 - 4 + 24*v**2 - 24*v = 0. What is v?
-2/5, 1/3, 1, 2
Let b(c) = 9*c**3 + 19*c**2 - 24*c. Let q(g) = -10*g**3 + 96*g - 20*g**2 - 71*g + 0*g**3. Let x(f) = -5*b(f) - 4*q(f). Let x(j) = 0. Calculate j.
-4, 0, 1
Suppose -832 = -6*t - 7*t. Let y be ((-15)/2)/5*t/(-264). Factor y*u + 2/11 + 2/11*u**2.
2*(u + 1)**2/11
Let u = 5 + 3. Let -4*k**5 - 3*k**4 - u*k**4 + 3*k**4 - 4*k**3 = 0. Calculate k.
-1, 0
Suppose -5*p - 5*n + 660 = 0, -n - 1 = 2. Solve -112 + p*w**2 + 5*w**4 + 112 - 45*w**3 - 135*w = 0 for w.
0, 3
Let f = 7 + 0. Suppose 14 + f = 7*n. Let 58/11*p**n - 40/11*p**2 + 2/11*p + 4/11 - 24/11*p**4 = 0. What is p?
-1/4, 2/3, 1
Let t(r) = -7*r**5 - 33*r**4 + 19*r**3 + 49*r**2 - 60*r + 5. Let y(n) = -n**5 - 2*n**4 + 2*n**3 - n - 1. Let u(p) = -5*t(p) + 45*y(p). Solve u(h) = 0.
-2, 1/2, 1, 7
Suppose 616137 - 10384*b**2 - 1/9*b**4 + 605694*b + 530/9*b**3 = 0. What is b?
-1, 177
Let r(c) be the third derivative of -c**10/10080 + c**9/60480 + c**8/26880 - 11*c**4/24 - 16*c**2. Let l(d) be the second derivative of r(d). Factor l(g).
-g**3*(3*g - 1)*(4*g + 1)/4
Suppose f - 2*f + 2 = 0. Determine g so that 28*g**3 - 27*g**3 + 2*g**f + 0*g**2 = 0.
-2, 0
Let m(t) = t**3 - t**2 + t. Let z(c) = 2*c**3 + 47*c**2 - 46*c. Let l(p) = 3*m(p) - z(p). Determine b, given that l(b) = 0.
0, 1, 49
Let p be (38 - 24)*(-42)/(-36). Factor p*c**2 + 56/3*c + 16/3.
(7*c + 4)**2/3
Suppose -4*f = -2*u + f - 21, 5*f = -4*u + 33. Suppose 0 = -5*d + 2*z + 10, 4*d - z = -u*z - 5. Find r such that -4/3*r + 2*r**3 + d + 10/3*r**2 = 0.
-2, 0, 1/3
Let w(h) = -3*h**2 - 5*h. Let x(y) = -135*y + 12*y**2 - 5*y**2 + 146*y - 1. Let d(v) = -10*w(v) - 4*x(v). Factor d(s).
2*(s + 1)*(s + 2)
Let i(c) = -37*c**3 - 2*c**2 - 2*c - 1. Let w be i(-1). Suppose 3 = 3*j - 2*l - 17, 5*j - 4*l - w = 0. Determine t so that -2*t**2 + 4*t - 4 - 2*t + j*t = 0.
1, 2
Let i(o) = 4*o**2 - 5*o - 4. Let s be i(4). Find a such that 40*a**2 - 2 + s*a**2 + 6*a - 77*a**2 - 7 = 0.
-3, 1
Let f(j) = 2*j**2 + j - 2. Let a(h) = -2*h**3 - 20*h**2 + 16*h. Let l(b) = -2*a(b) - 12*f(b). Factor l(w).
4*(w - 1)**2*(w + 6)
Suppose -16 = 29*w - 21*w. Let v be -4 - -1 - w/(-28)*-74. Factor 2/7*f**4 + 0 + v*f**2 + 8/7*f + 10/7*f**3.
2*f*(f + 1)*(f + 2)**2/7
Suppose 3*t = -3*p + 15, 3*t + 0 = 3. Let q(z) = 3*z - 9. Let o be q(p). What is d in -59 + 2*d**4 + 6*d**2 + 6*d**o + 2*d + 59 = 0?
-1, 0
Suppose 2*z = 7 - 17. Let p(q) = 27*q**2 + 12*q - 3. Let h(u) = 11*u**2 + 5*u - 1. Let n(g) = z*p(g) + 12*h(g). Factor n(y).
-3*(y - 1)*(y + 1)
Let u(i) be the third derivative of -i**5/270 - 23*i**4/108 - 40*i**3/9 + 222*i**2. What is w in u(w) = 0?
-15, -8
Let v(o) be the second derivative of -3/4*o**3 + 2*o + 3/8*o**4 - 3/40*o**5 + 0 + 3/4*o**2. Solve v(t) = 0.
1
Let m(f) be the second derivative of -3*f**3/2 - f**2/2 - 5*f. Let g be m(-1). Find c, given that -16*c**5 + 8*c - 8*c**4 + 7*c**3 - c**2 - g*c = 0.
-1, 0, 1/4
Let t(p) = p**3 + 4*p**2 + 4*p - 4. Let u(n) = -2*n**3 - 10*n**2 - 10*n + 10. Let r = 5 - 17. Let w(a) = r*t(a) - 5*u(a). Let w(s) = 0. What is s?
-1, 1
Let d(u) = u**3 + 18*u**2 + 35*u + 18. Let q(f) = 12*f**3 + 234*f**2 + 456*f + 234. Let b(g) = -27*d(g) + 2*q(g). Let b(z) = 0. Calculate z.
-3, -2, -1
Suppose 4*a - 2 + 6 = 0. Let s(d) = -d**3 + 1. Let i(z) = -z**3 - 3*z**2 + 2*z + 2. Let g(v) = a*i(v) + 2*s(v). Find y such that g(y) = 0.
0, 1, 2
Let j(f) be the second derivative of -f**4/24 - 35*f**3/36 - 11*f**2/6 - 82*f. Find l, given that j(l) = 0.
-11, -2/3
Let s(x) be the first derivative of 4*x**5 + 16*x**4 + 24*x**3 + 16*x**2 + 4*x - 311. Suppose s(k) = 0. What is k?
-1, -1/5
Let q = 3331 - 50042/15. Let i = q + 16/3. Let 0 + 1/5*x**2 - 1/5*x**3 + i*x - 1/5*x**4 = 0. What is x?
-1, 0, 1
Let j(b) be the second derivative of b**6/15 - 11*b**5/5 + 59*b**4/6 - 38*b**3/3 + 10*b + 2. Factor j(u).
2*u*(u - 19)*(u - 2)*(u - 1)
Let v(g) be the second derivative of g**7/21 - 3*g**6/5 + 14*g**5/5 - 6*g**4 + 16*g**3/3 + 58*g. Factor v(n).
2*n*(n - 4)*(n - 2)**2*(n - 1)
Factor 230*v + 1722 + 214 - 54*v + 4*v**2.
4*(v + 22)**2
Let w be -12*(-24)/192 + 5/2. Let h(c) be the third derivative of 0 - 5/24*c**w + 1/6*c**5 + 0*c**3 + 0*c - 4*c**2 - 1/24*c**6. Factor h(s).
-5*s*(s - 1)**2
Let i = -11176321/105504 - 99/5024. Let w = i + 323/3. Factor -3/7 + 15/7*j**2 + w*j.
3*(j + 1)*(5*j - 1)/7
Let l = -21662/9 + 2408. Factor 4/3*x + 2/9*x**2 + l.
2*(x + 1)*(x + 5)/9
Suppose -11*p - 28 = 27. Let s be (-10 + 0)/(p*(-36)/(-45)). Factor 0 - 2*b**4 - b - s*b**2 + 11/2*b**3.
-b*(b - 2)*(b - 1)*(4*b + 1)/2
Let g(p) be the second derivative of 32*p**5/5 - 8*p**4 + 4*p**3 - p**2 - 44*p. Let g(i) = 0. What is i?
1/4
Let u(s) = -s**2 - 13. Let i be u(6). Let p = i - -49. Factor -6/7*r**3 + 8/7*r - 2/7*r**4 + 0*r**2 + p.
-2*r*(r - 1)*(r + 2)**2/7
Let u(k) be the second derivative of k**6/15 + 7*k**5/10 + 7*k**4/3 + 8*k**3/3 + 293*k. Determine j, given that u(j) = 0.
-4, -2, -1, 0
Let r(w) be the third derivative of w**7/56 - 7*w**6/40 + 11*w**5/16 - 11*w**4/8 + 3*w**3/2 - 18*w**2. Find j, given that r(j) = 0.
3/5, 1, 2
Let i be -1535*((-45)/(-25) - 2). Let -84*x - 24*x - 378*x**3 + 12 + 20*x**2 + 147*x**4 + i*x**2 = 0. What is x?
2/7, 1
Let f(y) be the third derivative of -y**9/12096 + 5*y**8/4032 - y**7/336 - y**6/16 + 7*y**5/60 + 11*y**2. Let n(t) be the third derivative of f(t). Factor n(m).
-5*(m - 3)**2*(m + 1)
Let d(h) be the first derivative of -h**6/12 + 13*h**5/2 - 575*h**4/4 + 1535*h**3/3 - 2945*h**2/4 + 961*h/2 + 327. Solve d(t) = 0.
1, 31
Let u(t) be the third derivative of 19*t**7/120 + t**6/20 - 137*t**5/240 - t**4/4 + t**3/6 - 2*t**2 - 10. What is c in u(c) = 0?
-1, -2/7, 2/19, 1
Let i(w) be the first derivative of 4*w**7/735 + w**6/140 - w**5/210 + 9*w**2/2 - 4. Let g(m) be the second derivative of i(m). Factor g(k).
2*k**2*(k + 1)*(4*k - 1)/7
Let d(q) = 7*q - 31. Let t(f) = -3*f + 15. Let s(h) = 2*d(h) + 5*t(h). Let k be s(11). Factor 44/3*y**k + 16*y**3 + 2/3 + 6*y**4 + 16/3*y.
2*(y + 1)**2*(3*y + 1)**2/3
Let l = -47 + 50. Solve -27*b**5 - 18*b**4 + 9*b**4 + 34*b**3 - 24*b - 12 + 18*b**3 - b**l + 21*b**2 = 0 for b.
-1, -2/3, 1
Suppose -7*q - 2*a = -3*q - 52, a + 49 = 3*q. Suppose 3*g + 2*g - q = 0. Suppose 12*o - 12*o**g - 8 + 3*o**3 + 5*o**3 = 0. What is o?
-2, 1
Let m(d) = -d**2 + 10*d - 9. Suppose 2*i = 7*i - 10. Let l(t) = 2*t - 2. Let s(o) = i*m(o) - 11*l(o). Find z, given that s(z) = 0.
-2, 1
Let d(n) be the second derivative of 0 - 10*n + 1/105*n**6 - 11/21*n**3 - 1/14*n**4 + 3/70*n**5 - 6/7*n**2. Solve d(l) = 0.
-3, -1, 2
Let s(c) be the first derivative of 5 - 1/4*c**2 - 1/24*c**6 - 7/16*c**4 - 11/24*c**3 + c - 17/80*c**5. Let u(z) be the first derivative of s(z). Factor u(d).
-(d + 1)**3*(5*d + 2)/4
Let t(i) be the third derivative of 0 + 1/315*i**7 + 0*i**3 - 1/60*i**6 + 0*i + 1/30*i**5 - 1/36*i**4 + 20*i**2. Factor t(s).
2*s*(s - 1)**3/3
Let s(o) be the third derivative of 0*o - 1/840*o**8 + 0*o**4 - 2/525*o**7 + 1/300*o**6 + 1/75*o**5 + 4*o**2 + 0*o**3 + 0. What is v in s(v) = 0?
-2, -1, 0, 1
Let k(h) be the second derivative of h**4/14 - 5*h**3/7 - 6*h + 13. Determine q so that k(q) = 0.
0, 5
Factor -1/5*r**5 - 44/5*r**4 + 0*r + 0*r**2 - 484/5*r**3 + 0.
-r**3*(r + 22)**2/5
Let s = 34234 + -205403/6. Factor 0 + 2/3*i - s*i**3