 of -1/75*c**k - 1/15*c**4 - 2/15*c**3 + 0 - 11*c**2 + 0*c. Factor s(y).
-4*(y + 1)**2/5
Let i(t) be the second derivative of t**6/90 + t**5/10 + 13*t**4/36 + 2*t**3/3 + 2*t**2/3 - 14*t - 2. Let i(q) = 0. Calculate q.
-2, -1
Let w(b) = 90*b**2 + 355*b - 95. Let d(y) = -y. Let n be d(-4). Let z(j) = 15*j**2 + 59*j - 16. Let l(h) = n*w(h) - 25*z(h). Factor l(i).
-5*(i + 4)*(3*i - 1)
Find u, given that -63/2*u**5 - 69/2*u**2 - 2 + 61/4*u**3 + 141/4*u**4 + 15*u = 0.
-1, 2/7, 1/2, 2/3
Suppose 2*l = b - 13, -3*b + 39 = -3*l + 9. Solve 3*g**2 - 14 + 4*g - g**2 + 1 + b = 0 for g.
-3, 1
Let o(x) be the second derivative of x**5/110 + x**4/66 - 2*x**3/33 - 3*x + 2. Find y such that o(y) = 0.
-2, 0, 1
Let s(q) = -5*q + 13. Let m be s(2). Let x(r) be the first derivative of 0*r**4 + 2 - 2/5*r**5 + 0*r**2 + 2/3*r**m + 0*r. Let x(u) = 0. Calculate u.
-1, 0, 1
Let y(h) be the second derivative of 2*h**3 - 8*h + 4/3*h**4 + 1/5*h**5 + 0 + 0*h**2. Factor y(d).
4*d*(d + 1)*(d + 3)
Determine p so that -6/7 - 8/7*p + 2/7*p**4 + 8/7*p**3 + 4/7*p**2 = 0.
-3, -1, 1
Factor 1/6*f - 1/6*f**3 - 1/6*f**2 + 1/6.
-(f - 1)*(f + 1)**2/6
Let a = 15 + -10. Let k(n) = -3*n**2 + 9*n + 8 + 2*n**2 - n**2 - n**2. Let x(l) = -6*l**2 + 19*l + 17. Let d(o) = a*k(o) - 2*x(o). Solve d(b) = 0.
-2/3, 3
Suppose -5*y = -4*y + 4. Let m(i) = -8*i**2 - 12*i - 6. Let f(j) = -j**2 - j. Let x(c) = y*m(c) + 28*f(c). Factor x(b).
4*(b + 2)*(b + 3)
Let k(u) be the third derivative of u**7/210 + u**6/60 - 13*u**5/60 + 5*u**4/12 - 13*u**2 + 6*u. Let k(m) = 0. Calculate m.
-5, 0, 1, 2
Let r(v) = 3*v**2 + 8*v + 27. Suppose 2*z = z + 15. Let k(l) = -7*l**2 - 15*l - 55. Let n(i) = z*r(i) + 6*k(i). Factor n(f).
3*(f + 5)**2
Factor -64 + 148 + 78*k**2 - 105*k + 3*k**3 - 60*k.
3*(k - 1)**2*(k + 28)
Let b(r) be the third derivative of 9/11*r**3 - 100/231*r**7 - 21/22*r**5 + 6*r**2 - 9/44*r**4 + 155/132*r**6 + 0 + 0*r. Let b(t) = 0. What is t?
-1/4, 3/5
Let m(u) = 2*u**4 + 12*u**3 + 2*u**2 - 8*u + 4. Let t(h) = -4*h**4 - 23*h**3 - 3*h**2 + 16*h - 7. Let d(l) = 7*m(l) + 4*t(l). Factor d(s).
-2*s*(s - 1)*(s + 1)*(s + 4)
Factor -4/13*i**2 + 2/13*i**3 + 0*i + 0.
2*i**2*(i - 2)/13
Let r(d) be the third derivative of -d**8/5040 - d**7/1260 - d**5/30 + d**2. Let z(b) be the third derivative of r(b). Let z(y) = 0. Calculate y.
-1, 0
Find y, given that 2/11*y**3 + 0*y + 0 + 0*y**2 = 0.
0
Let b(w) = w**2 - 18*w + 22. Let g be b(17). Determine r so that -11*r**2 + 6*r**2 + g*r - 3 + 13 = 0.
-1, 2
Let v(q) be the first derivative of -12*q**5/5 - 5*q**4 - 4*q**3/3 + 2*q**2 + 75. Solve v(s) = 0.
-1, 0, 1/3
Suppose 4*d - 176 = 4*x, -65 = -3*d + 5*x + 65. Factor 2*z**4 - 2*z**2 + 21*z**3 - 2*z**5 - d*z**3 + 26*z**3.
-2*z**2*(z - 1)**2*(z + 1)
Let p(l) = 8*l**2 + 2*l - 2. Let t(x) be the first derivative of 3*x**3 + x**2/2 - 2*x - 1. Let i = -7 - -10. Let h(s) = i*p(s) - 2*t(s). Solve h(f) = 0 for f.
-1, 1/3
Suppose -4*a = -7*a + 4*d + 13, -9 = -2*a + 3*d. Factor 5*y**a + 17*y - 42*y**2 + 10 + 62*y**2 + 8*y.
5*(y + 1)**2*(y + 2)
Suppose 145 = -15*w - 5. Let n be ((-4)/(-13))/(w - -8)*-1. Factor 2/13 + n*x**2 + 4/13*x.
2*(x + 1)**2/13
Let 4/9*c**2 + 44/9*c + 8 = 0. What is c?
-9, -2
Let g(x) = -4*x + 18. Let r be g(6). Let l(z) = -5*z**2 + 55*z + 55. Let q(a) = 5*a**2 - 56*a - 55. Let v(n) = r*l(n) - 5*q(n). Factor v(w).
5*(w - 11)*(w + 1)
Suppose -21*d = -34 - 29. Let h(t) be the first derivative of -2 - t**d + 0*t**2 + 3/4*t**4 + 0*t. Determine o so that h(o) = 0.
0, 1
Let h(w) = 4*w**4 + 7*w**3 - 2*w**2 - 15*w + 9. Let a(l) = 11*l**4 + 20*l**3 - 6*l**2 - 44*l + 27. Let p(f) = -3*a(f) + 8*h(f). Factor p(o).
-(o - 1)**2*(o + 3)**2
Factor -1/5*b**2 - 35344/5 + 376/5*b.
-(b - 188)**2/5
Let u(d) be the second derivative of 10503459*d**5/35 + 95922*d**4/7 + 1752*d**3/7 + 16*d**2/7 - 212*d. Let u(k) = 0. What is k?
-2/219
Suppose 77*s + 1568 + 13*s + 2*s**2 + 0*s**2 + 22*s = 0. What is s?
-28
Let m(o) = -2*o**3 + 44*o**2 + 198*o - 254. Let i(s) = -6*s**3 + 86*s**2 + 394*s - 509. Let d(f) = 2*i(f) - 5*m(f). Solve d(h) = 0 for h.
-18, -7, 1
Determine x, given that -5195*x**4 + 4*x**3 - 12*x**3 + 5199*x**4 + 4*x**5 = 0.
-2, 0, 1
Let q(s) = 5*s**2 - 178*s + 770. Let v(m) = 3*m**2 - 118*m + 514. Let n(u) = 5*q(u) - 7*v(u). Let n(j) = 0. Calculate j.
7, 9
Suppose 63 = 51*z - 39. Factor 10/3*t**2 + 2/3*t**3 + z*t - 6.
2*(t - 1)*(t + 3)**2/3
Let n(h) be the second derivative of 45*h + 1/9*h**4 + 0*h**2 + 0 - 2/3*h**3. Determine a, given that n(a) = 0.
0, 3
Let r(j) be the first derivative of 0*j - 2/11*j**4 - 8/55*j**5 - 1/33*j**6 + 16 + 0*j**3 + 0*j**2. Let r(u) = 0. What is u?
-2, 0
Let w = -7450/7 - -1066. Let b(z) be the first derivative of -3 - w*z**2 - 9/7*z + 3/7*z**3. Factor b(j).
3*(j - 3)*(3*j + 1)/7
Let c = 7 + -4. Suppose -2*f = -c*k + 4*k - 10, 2*k + 5*f = 24. Factor -q**5 - 2 + 5*q**3 + 6*q**4 + 2*q**3 - 6*q + 3*q**5 - 4*q**k - 3*q**3.
2*(q - 1)*(q + 1)**4
Let f be (-588)/49 - (-183)/15. Suppose 0 + f*a**2 + 2/5*a = 0. Calculate a.
-2, 0
Let r(g) = -2*g**4 + g**3 - 2*g**2 + g. Let m(f) = -f**4 - 12*f**3 + 24*f**2 + 8*f - 15. Let h(t) = -m(t) - 2*r(t). Factor h(w).
5*(w - 1)**2*(w + 1)*(w + 3)
Let z(m) be the second derivative of 0*m**4 + 0*m**2 + 0*m**6 - 1/3*m**3 - 1/21*m**7 + 1/5*m**5 + 47*m + 0. Solve z(v) = 0 for v.
-1, 0, 1
Suppose -4*u + 3*w = -244, -u - 3*w = -5 - 41. Let r = u + -56. Solve -8/5 - 2/5*k**r + 8/5*k = 0.
2
Suppose -3*v = 4*p - 25, -5*p + 195*v = 198*v - 29. Find z, given that -1/2*z**p - 2/3*z**5 + 0 + 3/2*z**3 + 0*z - 1/3*z**2 = 0.
-2, 0, 1/4, 1
Let l = -8387 - -8389. Solve 0 - 25/3*r**5 + 5*r**4 - 95/3*r**l + 10*r + 25*r**3 = 0 for r.
-2, 0, 3/5, 1
Let k be 275/40 + -2 + 34/16. Find i, given that -k*i**3 + 5*i**2 + 12*i - 8*i - 10*i**2 - 7*i**2 = 0.
-2, 0, 2/7
Suppose 5*r + 2 = r + 2*p, 2*r + 3 = 3*p. Solve 0*s**5 - 2*s**4 + r*s**4 + 2*s**3 + 2*s**5 + 6*s**4 = 0 for s.
-1, 0
Let v(o) be the third derivative of 3*o**6/10 + 7*o**5/5 + 8*o**4/3 + 8*o**3/3 - 48*o**2. Find w such that v(w) = 0.
-1, -2/3
Let t(r) be the second derivative of r**8/112 + 2*r**7/35 + 3*r**6/40 + 3*r**2/2 + 14*r. Let d(c) be the first derivative of t(c). Find f such that d(f) = 0.
-3, -1, 0
Let n(f) be the second derivative of -f**7/14 - 2*f**6/5 + 69*f**5/20 + 81*f**4/2 + 162*f**3 + 324*f**2 - 145*f. Determine g so that n(g) = 0.
-3, -2, 6
Suppose -8*m - 63 = -m. Let s be 6/m - 124/(-42). What is h in 0*h - 10/7*h**4 + 2/7*h**5 - 8/7*h**2 + 0 + s*h**3 = 0?
0, 1, 2
Let i(z) = -9*z**3 + 6*z**2 + 6 + 9*z**4 - 2*z + z - 5*z. Let n(s) = 10*s**4 - 10*s**3 + 7*s**2 - 7*s + 7. Let x(u) = 7*i(u) - 6*n(u). Factor x(r).
3*r**3*(r - 1)
Let h(g) = 4*g**4 + 19*g**3 + 14*g**2 + g - 2. Let s(n) = n**4 + n**3 + n**2 - n + 2. Let t(u) = h(u) + s(u). Find y, given that t(y) = 0.
-3, -1, 0
Factor -1/4*t**4 - 1/2*t**2 + t - t**3 + 3/4.
-(t - 1)*(t + 1)**2*(t + 3)/4
Let k(g) be the first derivative of 2*g**5/5 - 2*g**4 - 50*g**3/3 + 28*g**2 - 110. Factor k(n).
2*n*(n - 7)*(n - 1)*(n + 4)
Suppose 3*i + 3 = -j, 5*j - 3*i + 15 = -0*i. Let n be 4 + (3 - (-19)/j). Find x such that 2/3*x**4 + 0 - n*x**2 + 1/3*x**3 - 1/3*x = 0.
-1, -1/2, 0, 1
Let s(x) be the second derivative of x**5/90 - 5*x**4/6 + 25*x**3 - 45*x**2/2 - 35*x. Let l(z) be the first derivative of s(z). Factor l(d).
2*(d - 15)**2/3
Let f = 22 + -25. Let b(c) = c**5 + c**4 - c**3 - c. Let k(y) = 5*y**4 - 3*y**3 - 3*y. Let r(p) = f*b(p) + k(p). Factor r(n).
-n**4*(3*n - 2)
Let w(u) be the first derivative of -3*u**5/5 + 9*u**4 - 21*u**3 + 15*u**2 - 201. Factor w(p).
-3*p*(p - 10)*(p - 1)**2
Let u(y) = -5*y**3 - 15*y**2 + 8*y + 21. Let h(o) = -9*o**3 - 27*o**2 + 16*o + 43. Let w(s) = 3*h(s) - 5*u(s). Factor w(x).
-2*(x - 2)*(x + 2)*(x + 3)
Factor 346*i - 8 - 165*i + i**2 - 174*i.
(i - 1)*(i + 8)
Let w(v) = v**3 - 48*v**2 + 624*v + 676. Let b(l) = -l**2. Let a(k) = -3*b(k) - w(k). Factor a(g).
-(g - 26)**2*(g + 1)
Solve 45*k - 2*k**2 - 112*k + 61*k = 0.
-3, 0
Let v(x) = x**2 + 15*x - 22. Let i be v(-14). Let n = -107/3 - i. Solve 2/3*g**4 - 1/3*g**5 - 2/3*g**2 + 0 + 0*g**3 + n*g = 0.
-1, 0, 1
Let y(u) = -u**2 - 10*u + 4. Let r(m) = -m**2 - 5*m + 2. Let w(p) = 10*r(p) - 6*y(p). Solve w(v) = 0.
1/2, 2
Find q, given that -128 + 8*q - 1/8*q**2 = 0.
32
Factor 6/7*i**2 + 0*i - 24/7.
6*(i - 2)*(i + 