**2 + r + 1. Let c(g) = f*i(g) - 2*k(g). Find m, given that c(m) = 0.
-1, 0, 1
Let x(p) be the third derivative of 29/120*p**5 + 0*p + 4*p**2 + 0 - 7/80*p**6 - 1/3*p**3 - 1/12*p**4. Factor x(n).
-(n - 1)*(3*n - 2)*(7*n + 2)/2
Let k(x) = 44*x**3 + 152*x**2 + 116*x + 64. Let z(w) = 5*w**3 + 17*w**2 + 13*w + 7. Let y(v) = 3*k(v) - 28*z(v). Factor y(q).
-4*(q + 1)**2*(2*q + 1)
Let h(r) = -r**3 + r. Suppose -2*b - 1 = 1. Let q be h(b). Factor 3*x**4 - 2*x**3 - x**4 + q*x**3.
2*x**3*(x - 1)
Suppose -4*t = -3*t - 2. Factor o**4 + 4*o**2 + o - 5*o**t + 2*o**3 - 4*o**3 + o.
o*(o - 2)*(o - 1)*(o + 1)
Let x = 2/803 - 152/2409. Let f = 3/11 - x. Find q such that -1/3*q**4 + 2/3*q + f + 0*q**2 - 2/3*q**3 = 0.
-1, 1
Let u(a) = a + 4. Let n be u(-4). Factor -4*z**2 - 2*z**3 - 2 + n - 4*z - 2*z - 2*z**2.
-2*(z + 1)**3
Determine v, given that -5*v**5 - 10*v**2 - 2*v**3 - 6*v**3 + 10*v**4 + 8*v**3 + 5*v = 0.
-1, 0, 1
Let g(l) be the third derivative of -l**6/60 - l**5/15 - 6*l**2. Determine w, given that g(w) = 0.
-2, 0
Let n(h) be the second derivative of h**6/45 + 2*h**5/15 + h**4/3 + 4*h**3/9 + h**2/3 + 9*h. Find w such that n(w) = 0.
-1
Determine d, given that -4/5*d**2 + 2/5*d**4 + 2/5 + 0*d + 0*d**3 = 0.
-1, 1
Let y(a) be the second derivative of a**7/49 + a**6/105 - a**5/35 - 5*a. Factor y(c).
2*c**3*(c + 1)*(3*c - 2)/7
Let j(f) be the second derivative of -f**5/45 - f**4/108 + 2*f**3/27 + f**2/18 - 4*f. Solve j(d) = 0 for d.
-1, -1/4, 1
Factor -30*x + 150 + 3/2*x**2.
3*(x - 10)**2/2
Factor -31 + 45*d**2 + 81 + 54 + 5*d**3 + 135*d + 31.
5*(d + 3)**3
Let d = 6 - 5. Let k be (0 + d)/((-8)/(-16)). Factor -4/9*q - 2/9*q**k - 2/9.
-2*(q + 1)**2/9
Let a(c) be the third derivative of -c**5/15 + c**4/2 - 4*c**3/3 + 8*c**2. Determine j, given that a(j) = 0.
1, 2
Let -6/13*s**2 + 0 - 6/13*s**3 - 2/13*s**4 - 2/13*s = 0. What is s?
-1, 0
Let n(p) be the third derivative of 3*p**6/8 + 17*p**5/6 + 35*p**4/6 - 20*p**3/3 - 3*p**2. Factor n(b).
5*(b + 2)**2*(9*b - 2)
Let a(k) be the second derivative of -21*k**6/10 - 123*k**5/20 - 6*k**4 - 2*k**3 + 6*k. Let a(j) = 0. What is j?
-1, -2/3, -2/7, 0
Suppose i = -k + 2, 5*i = -3*k - k + 8. Factor -8/7*t**5 - 50/7*t**3 - k*t + 38/7*t**2 + 32/7*t**4 + 2/7.
-2*(t - 1)**3*(2*t - 1)**2/7
Let m(d) be the second derivative of -d**5/110 - 2*d**4/33 - 5*d**3/33 - 2*d**2/11 - 31*d. Solve m(j) = 0.
-2, -1
Let x = -24 - -16. Let d = x + 11. Solve -3*w - 1 - w**d + w**2 - 2*w**2 - 2*w**2 = 0.
-1
Let q(f) = f**2 - 19*f - 31. Let r(u) = -22*u - 17. Let g(o) = -7*o - 6. Let t(v) = 14*g(v) - 4*r(v). Let s(m) = 2*q(m) - 5*t(m). Let s(h) = 0. What is h?
-3
Let d(g) be the third derivative of g**5/30 - g**4/3 + 4*g**3/3 - 7*g**2. Suppose d(i) = 0. What is i?
2
Let i be (-2)/(6/3) + (-1 - -5). Let m(v) be the second derivative of -i*v + 0 + 1/60*v**5 - 1/6*v**2 + 1/6*v**3 - 1/12*v**4. Factor m(l).
(l - 1)**3/3
Let c = 129 + -122. Let o(q) be the third derivative of 1/42*q**c + 0*q**3 + 0*q - 1/60*q**6 + 3*q**2 + 0 + 0*q**5 + 0*q**4. Factor o(u).
u**3*(5*u - 2)
Let w(j) be the second derivative of -j**5/60 + 7*j**4/36 - 11*j**3/18 + 5*j**2/6 - 14*j - 3. Factor w(z).
-(z - 5)*(z - 1)**2/3
Factor -2*x**2 + 2*x**3 - 1027*x + 1027*x.
2*x**2*(x - 1)
Let c(x) be the second derivative of -x**10/7840 + x**9/2940 - x**8/3920 - x**4/12 - x. Let d(y) be the third derivative of c(y). Solve d(t) = 0 for t.
0, 2/3
Factor -5*r**4 + 15*r**2 - 33 + 21 + 30*r**2 + 20*r - 48.
-5*(r - 3)*(r - 1)*(r + 2)**2
Let u(f) be the third derivative of f**5/150 + f**4/30 - 2*f**2. Factor u(d).
2*d*(d + 2)/5
Let l(j) = -3*j + 21. Let t be l(7). Let y(h) be the second derivative of -1/6*h**3 + t - 1/12*h**4 + 0*h**2 + 2*h. Determine v so that y(v) = 0.
-1, 0
Let w(b) be the first derivative of -b**4/10 + 3*b**2/5 + 4*b/5 - 8. Factor w(g).
-2*(g - 2)*(g + 1)**2/5
Factor -2/5*y**2 + 0 - 6/5*y**4 - 2/5*y**5 - 6/5*y**3 + 0*y.
-2*y**2*(y + 1)**3/5
Let s be 2/12*2*12. Suppose 2*b**3 - 2*b**s + 2*b**3 - 2*b**2 + 0*b**4 = 0. Calculate b.
0, 1
Let k(f) = -8*f**3 - 10*f**2 - 10*f - 2. Let x(h) = -7*h**3 - 10*h**2 - 11*h - 3. Let a(w) = -5*k(w) + 6*x(w). Factor a(z).
-2*(z + 1)*(z + 2)**2
Let x(p) = -p**2 + p - 1. Let v(r) = -12*r**2 + 8*r - 10. Let h(q) = -2*q**3 + q. Let m = -5 + 4. Let t be h(m). Let d(l) = t*v(l) - 10*x(l). Factor d(g).
-2*g*(g + 1)
Suppose 4*p - 4*k = -8*k, -2*k - 2 = p. Factor 0*z - 1/5*z**4 - 1/5 + 2/5*z**p + 0*z**3.
-(z - 1)**2*(z + 1)**2/5
Suppose 31*w - 52 = 5*w. Find y, given that 2/3*y - y**w + 0 + 1/3*y**3 = 0.
0, 1, 2
Let z be 1*2/(-14)*-2. Factor 6/7*q**4 + z*q**5 + 4/7*q**3 - 6/7*q - 2/7 - 4/7*q**2.
2*(q - 1)*(q + 1)**4/7
Let x(c) be the first derivative of 3*c**5/25 + 3*c**4/20 - c**3/5 - 3*c**2/10 - 1. Determine n, given that x(n) = 0.
-1, 0, 1
Let -9*c**2 + 5*c**2 - c**2 - 5*c = 0. What is c?
-1, 0
Let b = 6 + -3. Let w = 7 - b. Factor 26*g + 80*g**3 - 54*g**2 - 2 + 9*g**5 - 56*g**w - 9*g + 6*g**5.
(g - 1)**3*(3*g - 1)*(5*g - 2)
Let u(y) be the first derivative of y**4/20 + 7*y**3/15 + 11*y**2/10 + y - 12. Factor u(i).
(i + 1)**2*(i + 5)/5
Factor 7*j**5 - 10*j**5 + 0*j**5.
-3*j**5
Let d(l) = 1 - l**2 + l + 0*l + 2*l**2. Let m(r) = -r. Let q(x) = -3*x**2 - 27*x. Let b(i) = 12*m(i) - q(i). Let g(t) = -b(t) + 6*d(t). Factor g(s).
3*(s - 2)*(s - 1)
Let d(m) = -m**3 + 4*m**2 + m - 4. Let u(p) = -p**2 + 1. Suppose 0 = -o + 3*o - 2. Let b = 1 - -2. Let x(f) = b*u(f) + o*d(f). Factor x(w).
-(w - 1)**2*(w + 1)
Suppose 0 = 58*o - 57*o - 3. Let w(k) be the first derivative of -4 - k**2 - 10/21*k**o - 4/7*k. Factor w(r).
-2*(r + 1)*(5*r + 2)/7
Let f(i) be the first derivative of 2*i**3/3 + i**2 - 4*i - 1. Factor f(d).
2*(d - 1)*(d + 2)
Let v(z) = z**2 - 7*z + 4. Let b(q) = 3*q**2 + 12 - 20*q + 4*q**2 - 4*q**2. Let d(l) = -3*b(l) + 8*v(l). Find u, given that d(u) = 0.
2
Let g = -8 - -8. Let r(q) be the third derivative of 2*q**2 + g*q + 0 - 1/96*q**4 + 0*q**3 + 1/240*q**5. Factor r(u).
u*(u - 1)/4
Let l(y) = y**3 + 3*y**2 - 2. Let j be l(-2). Suppose 0*a + a - j = 0. Suppose 0 + a*i - 3*i**2 + 0 + i**2 = 0. Calculate i.
0, 1
Let o be 2 + (-3)/((-3)/50). Let -52*h**2 + 2*h**3 - 2*h + o*h**2 = 0. What is h?
-1, 0, 1
Let 0*l + 14/5*l**3 + 0 - 14/5*l**5 + 4/5*l**4 - 4/5*l**2 = 0. Calculate l.
-1, 0, 2/7, 1
Let i(q) be the second derivative of 0*q**2 + 3/4*q**5 + 0 - 5*q - 1/2*q**3 - 3/10*q**6 - 1/4*q**4. Determine p, given that i(p) = 0.
-1/3, 0, 1
Determine v so that -9/2*v**4 + 3*v**3 - 3/2 + 6*v**2 - 3*v = 0.
-1, -1/3, 1
Let z be -5 + 1 + 1 + -9. Let n = z - -15. Factor 2/5*g + 2/5*g**5 + 8/5*g**4 + 0 + 8/5*g**2 + 12/5*g**n.
2*g*(g + 1)**4/5
Let n = -353 - -356. Factor 1/3*l + 2/3*l**2 - 1/3*l**5 + 0*l**n - 2/3*l**4 + 0.
-l*(l - 1)*(l + 1)**3/3
Let t = -187 + 187. Solve -3/5*v**5 - 3/5*v**4 + t + 0*v**3 + 0*v**2 + 0*v = 0 for v.
-1, 0
Let v be 5/25 + 3 + 42/(-15). Factor v*o**2 + 8/5 + 8/5*o.
2*(o + 2)**2/5
Let i be (3 - -3)/(-2) + 7. Solve -9*v**i - 1 - v - 3*v**3 + 15*v**2 + 4*v - 3 - 2 = 0.
-1, 2/3, 1
Suppose -4*o + 2 = -3*f - 3, 4*o = f + 7. Let y be 1 + -1 + o - 0. Factor -2*u**4 + y*u**2 - 2*u**3 + 0*u**3 + 2*u**5 + 0*u**4.
2*u**2*(u - 1)**2*(u + 1)
Let d(m) = -m + 3. Let s be d(0). Factor -16*a**3 + a - 2*a**3 - s*a**5 - 12*a**2 - 4*a - 12*a**4.
-3*a*(a + 1)**4
Let u(a) be the first derivative of -208/5*a**5 - 16/7*a - 1343/14*a**4 - 116/7*a**2 - 1228/21*a**3 - 3 + 112/3*a**6. Find z, given that u(z) = 0.
-2/7, -1/4, 2
Let -2/9*g**2 - 2/9*g**3 + 2/9 + 2/9*g = 0. Calculate g.
-1, 1
Let z(o) = -o + 1. Let p be z(7). Let j(h) = h**4 + h**2 - 1. Let v(t) = -t**5 + 5*t**4 + t**3 + 7*t**2 - 6. Let b(s) = p*j(s) + v(s). Factor b(l).
-l**2*(l - 1)*(l + 1)**2
Let 2 + 2 - 33*p**5 - 21*p**2 - 8*p**4 - 20*p + 53*p**3 + 25*p**4 = 0. What is p?
-1, -2/3, 2/11, 1
Let z(q) = 5*q**2 - 8*q - 13. Let p = -1 + -3. Let o(v) = 2*v**2 - 4*v - 6. Let b(h) = p*z(h) + 9*o(h). Find j such that b(j) = 0.
-1
Let k = -3236/3 - -1086. Factor k*o + 4/3 + 6*o**2.
2*(o + 1)*(9*o + 2)/3
Let z(f) be the third derivative of f**5/330 + f**4/132 - 2*f**2. Let z(s) = 0. Calculate s.
-1, 0
Let y(l) be the third derivative of -l**6/210 - 11*l**5/105 - 5*l**4/6 - 50*l**3/21 - 8*l**2. Factor y(u).
-4*(u + 1)*(u + 5)**2/7
Suppose 5*d + 5*z - 30 = 0, d - 3*z + 8 = -d. Suppose 4/3*v + 10/3*v**d + 2/3*v*