se 30*a**4 - 2 + 21*a**3 - 15*a**2 + 35*a**2 - 61*a**m - 8*a**5 = 0. What is a?
-1/4, 1
Let o(f) be the third derivative of -f**8/448 + f**7/336 - f**6/576 + f**5/60 + 8*f**2. Let k(j) be the third derivative of o(j). Factor k(h).
-5*(6*h - 1)**2/4
Let o(d) = d**2 - 2*d + 1. Let g be o(3). Suppose 0 = g*v + 5*i + 7, 0 = -i + 2*i + 3. Factor -375 + 375 - s**v - 2*s.
-s*(s + 2)
Determine m, given that 44/3 + 134/3*m + 2*m**2 = 0.
-22, -1/3
Let o be 206/1648*8/2. Let 1 + o*b**2 - 3/2*b = 0. Calculate b.
1, 2
Let z be (35/(-15) - -4) + 2/(-3). Let n be z + 0 - ((-15)/(-7))/(-5). Determine j so that -n*j - 8/7*j**4 + 10/7*j**3 + 6/7*j**2 + 2/7 = 0.
-1, 1/4, 1
Factor 3*x**2 - 112663*x - 2*x**2 + 112641*x.
x*(x - 22)
Let u(q) be the second derivative of q**5/50 + q**4/10 + 2*q**3/15 - 2*q. Factor u(f).
2*f*(f + 1)*(f + 2)/5
Let l = 35 - 8. Factor 10*z + l*z + 4*z**2 - 24 - 8*z**2 - 9*z.
-4*(z - 6)*(z - 1)
Let r(f) be the third derivative of -f**7/945 - f**6/20 - 47*f**5/270 + 25*f**4/36 + 2*f**2 - 12*f. Suppose r(g) = 0. Calculate g.
-25, -3, 0, 1
Suppose -5*p - 120 = 5*m, -5*p + 48 = -2*m - p. Let l = m + 56. Factor l + 2*g + 2*g**2 - 2*g - 34.
2*(g - 1)*(g + 1)
Let o(i) be the third derivative of 0*i**3 + 0 + 1/630*i**7 - 1/180*i**5 + 1/72*i**4 + 0*i - 2*i**2 - 1/360*i**6. Factor o(s).
s*(s - 1)**2*(s + 1)/3
Let a(l) be the first derivative of l**4/96 - l**3/48 - 5*l - 9. Let k(n) be the first derivative of a(n). Determine j so that k(j) = 0.
0, 1
Let l(r) = -r**5 + r**2. Suppose 3*y = 15 + 3. Let c(u) = -9*u**5 - 3*u**4 + 3*u**3 + 9*u**2. Let k(z) = y*l(z) - c(z). Suppose k(g) = 0. Calculate g.
-1, 0, 1
Let a(v) = 2*v**3 + 20*v**2 - 95*v + 76. Let j(p) = -p**3 + 2. Let n(h) = -a(h) + 3*j(h). Factor n(b).
-5*(b - 2)*(b - 1)*(b + 7)
Let k = -426 + 430. Let p(x) be the second derivative of -k*x + 1/10*x**3 + 0 - 3/100*x**5 + 1/20*x**4 - 3/10*x**2. Factor p(q).
-3*(q - 1)**2*(q + 1)/5
Factor -146*w + 27*w - 41*w - 100 - 10*w**2 + 50*w**3 - 5*w**2 + 5*w**4.
5*(w - 2)*(w + 1)**2*(w + 10)
Let f(i) be the third derivative of 0*i + 0 + 6*i**2 - 1/20*i**5 + 0*i**3 + 1/2*i**4. Let f(t) = 0. Calculate t.
0, 4
Factor -140*d + 282*d + 5*d**2 - 147*d - 30.
5*(d - 3)*(d + 2)
Let n be 54/170 + (2/6)/(153/(-54)). Determine h so that -n*h**2 + 12/5*h - 36/5 = 0.
6
Suppose -126 + 402 = -3*x. Let y be (-3)/(-12) - x/16. Factor y*s - 2*s**5 - 57*s**3 - 3 + 6*s**4 + 1 - 4*s**2 + 53*s**3.
-2*(s - 1)**4*(s + 1)
Let f(z) be the second derivative of 0 - 1/36*z**4 + 0*z**2 + 0*z**3 - 1/20*z**5 - 10*z - 1/45*z**6. Factor f(q).
-q**2*(q + 1)*(2*q + 1)/3
Let i(n) be the second derivative of -5*n**4/3 + 14*n**3/3 + 127*n. Find w, given that i(w) = 0.
0, 7/5
Let i be (9/(-6))/(9/(-24)). Suppose -3*h**3 - 4*h**4 + h**i - 2*h**2 - 4*h**3 = 0. What is h?
-2, -1/3, 0
Let k(j) = -j**3 + 13*j**2 - 20*j - 14. Let z be k(11). Let x(y) = y**2 - 10*y + 18. Let a be x(z). Solve 3/5*w - 3/5*w**a + 0 = 0.
0, 1
Let c(j) = 5*j**2 + 219*j + 226. Let p(d) = 80*d**2 + 3505*d + 3615. Let n(m) = 95*c(m) - 6*p(m). Factor n(s).
-5*(s + 1)*(s + 44)
Let p(w) be the third derivative of 1/6*w**4 + 1/15*w**5 + 0*w + 0 + 0*w**3 + 6*w**2. What is h in p(h) = 0?
-1, 0
Suppose 0 + 1/3*o**2 - 1/6*o**4 - 1/6*o**3 + 0*o = 0. Calculate o.
-2, 0, 1
Let o(v) be the first derivative of 2/15*v**4 + 0*v**2 + 21 + 0*v + 0*v**3 - 2/25*v**5 - 1/45*v**6. Suppose o(n) = 0. What is n?
-4, 0, 1
Suppose -20*j = -16*j + 8. Let l be (-4)/(-30) + j/(-3). Find v such that -42/5*v**4 + 6/5*v**2 + l*v - 8*v**3 + 0 = 0.
-1, -2/7, 0, 1/3
Find b, given that -2/3 + 2/3*b**2 + 0*b = 0.
-1, 1
Let v(g) = 5*g**2 - 4*g - 9. Suppose -2*p = 2*o, 4*p + 4 = -2*o - 4. Let r(b) = -4*b**2 + 5*b + 9. Let m(f) = o*r(f) + 3*v(f). Factor m(a).
-(a - 9)*(a + 1)
Suppose -2 = 17*m - 2. Let f(u) be the first derivative of 0*u**3 + m*u + 3/4*u**4 + 4 + 0*u**2 - u**6 - 3/5*u**5. Solve f(y) = 0.
-1, 0, 1/2
Let j(h) = 18*h**3 - 27*h**2 - 37*h + 12. Let p(n) = -35*n**3 + 55*n**2 + 75*n - 25. Let u(d) = 5*j(d) + 2*p(d). Let u(g) = 0. Calculate g.
-1, 1/4, 2
Suppose k = 2*a + 13, a = -38*k + 34*k + 16. Let 5/2*q**3 + k*q**2 + 0 + 0*q = 0. Calculate q.
-2, 0
Let d = -15810 - -94925/6. Factor -5/6 - d*c - 55/6*c**3 - 115/6*c**2.
-5*(c + 1)**2*(11*c + 1)/6
Let k(s) be the second derivative of s**5 + 65*s**4/4 + 65*s**3/3 - 45*s**2/2 + 356*s. Factor k(p).
5*(p + 1)*(p + 9)*(4*p - 1)
Let m = -3/2444 + 9791/12220. Determine x so that -m + 1/5*x**2 + 3/5*x = 0.
-4, 1
Let t be 68/(-51)*(-12)/44. Determine z so that 2/11*z**5 - 6/11*z**2 + 2/11*z**3 + 6/11*z**4 - t*z + 0 = 0.
-2, -1, 0, 1
Let s(t) be the third derivative of t**6/100 - t**5/25 - t**4/20 + 2*t**3/5 - 103*t**2. Find w such that s(w) = 0.
-1, 1, 2
Let x be (154/(-2) - 3) + -4. Let o be (-744)/x + (-2)/(-14). Factor 3*w**3 - o*w**3 + 6*w**3 - 4*w**4 - 4*w**5.
-4*w**4*(w + 1)
Let o(i) = -36*i**4 - 4*i**3 + 2*i**2 - 2*i. Let w(t) = -73*t**4 - 8*t**3 + 5*t**2 - 5*t. Let r(c) = -5*o(c) + 2*w(c). Factor r(a).
2*a**3*(17*a + 2)
Let k = -349 + 353. Let u(l) = -l - 4. Let p be u(-4). Let -14/3*c**3 + p*c + 16/3*c**k + 4/3*c**2 - 2*c**5 + 0 = 0. Calculate c.
0, 2/3, 1
Suppose 0 = z + 31 - 36. Let m(y) be the first derivative of -3/2*y - 10 + 1/4*y**6 - 9/4*y**2 + 3/4*y**4 - y**3 + 9/10*y**z. Factor m(j).
3*(j - 1)*(j + 1)**4/2
Let d(f) be the third derivative of -f**7/630 + f**6/120 + f**5/45 - f**4/6 - 2*f**2 + 70. Factor d(x).
-x*(x - 3)*(x - 2)*(x + 2)/3
Let r = -7 - -7. Suppose -3193 = 12*b - 3229. Factor 2/9*w**4 + 2/9*w**2 + 4/9*w**b + r + 0*w.
2*w**2*(w + 1)**2/9
Suppose -j - 1 = -12. Find q such that -q - j*q**2 - 5*q + 5*q**4 + 12*q**3 + 0*q**4 = 0.
-3, -2/5, 0, 1
Let q(k) = -79*k**3 - 380*k**2 + 370*k + 89. Let d(w) = -16*w**3 - 76*w**2 + 74*w + 18. Let s(p) = 22*d(p) - 4*q(p). Factor s(n).
-4*(n - 1)*(n + 5)*(9*n + 2)
Suppose 0 = -13*n + 33 + 6. Determine d, given that 3*d**2 + 5 + 5*d**4 + 10*d**n - 8*d**2 - 5*d**5 - 702*d + 697*d - 5*d**2 = 0.
-1, 1
Let k(c) be the first derivative of -c**6/24 - 4*c**5/5 + c**4/8 + 8*c**3/3 - c**2/8 - 4*c + 203. Suppose k(b) = 0. Calculate b.
-16, -1, 1
Factor 2/13*d**5 + 30/13*d**3 + 0*d - 18/13*d**2 - 14/13*d**4 + 0.
2*d**2*(d - 3)**2*(d - 1)/13
Suppose 0 = 5*p + 10, 5*s + p - 41 = 357. Let g be (2/(-3))/(50/(-150)). Determine c so that -3*c**g - 2*c**2 - 39*c - 28*c + 27*c - s = 0.
-4
Factor 262*z + 174*z**2 + 5*z**3 - 215 - 175 + 26*z**2 - 77*z.
5*(z - 1)*(z + 2)*(z + 39)
Let s(o) = -o**2 - o - 3. Let y(f) = -6*f**2 + 4*f - 3. Let n(v) = -s(v) + y(v). Factor n(r).
-5*r*(r - 1)
Let g be (88 + -89 + 1/(-2))/(-2). Factor g*n**4 + 9/4 + 15/2*n + 9/2*n**3 + 9*n**2.
3*(n + 1)**3*(n + 3)/4
Let m(s) be the third derivative of -s**7/350 + s**6/150 + s**5/60 - s**4/60 - 8*s**2. Suppose m(z) = 0. Calculate z.
-1, 0, 1/3, 2
Suppose a + 10 = c, 3*c + 3*a - 7*a = 32. Factor c*g - 5*g**3 + 0*g**3 + 3*g**3 + 4*g**2 - 2*g**3.
-4*g*(g - 2)*(g + 1)
Let z = -20 - -19. Let v(g) = g**3 + 4*g**2 + g. Let o be v(z). Find t such that -1 + 4*t**3 + 3*t**2 - t**2 + o*t**4 + 1 = 0.
-1, 0
Let c be 1046*(-1 + 2)/(135 - 0). Let n = c - 112/27. Solve n*y + 8/5*y**2 + 4/5 = 0 for y.
-2, -1/4
Let m(u) = 2*u - 2. Let s be m(0). Let w(d) = 4*d**3 + 7*d**2 - 7*d + 5. Let k(a) = -2*a**3 - 3*a**2 + 3*a - 2. Let y(p) = s*w(p) - 5*k(p). Factor y(v).
v*(v + 1)*(2*v - 1)
Let h(j) be the second derivative of 13*j - 1/36*j**4 - 1/3*j**2 + 0 + 1/6*j**3. Factor h(d).
-(d - 2)*(d - 1)/3
Let w(t) be the first derivative of -t**9/7560 + t**8/4200 + t**7/2100 - t**6/900 - 17*t**3/3 + 21. Let a(l) be the third derivative of w(l). Factor a(z).
-2*z**2*(z - 1)**2*(z + 1)/5
Let d(g) = -7*g**5 - 8*g**4 - 30*g**3 - 18*g**2 + 11*g - 13. Let k(c) = -c**5 - c**4 - 5*c**3 - 3*c**2 + 2*c - 2. Let z(p) = -6*d(p) + 39*k(p). Factor z(m).
3*m*(m - 1)**2*(m + 1)*(m + 4)
Let i = 114 - 112. Let c(d) be the first derivative of -2/3*d**i + 1 + 1/6*d**4 - 2/9*d**3 + 0*d. Find b such that c(b) = 0.
-1, 0, 2
Let g be (2 - 3) + (-4596)/(-2910). Let x = 2/97 + g. Factor -3/5*d**2 + 1/5*d**3 - 1/5 + x*d.
(d - 1)**3/5
Let h be -2 + (-35)/(-21)*(1 - -2). Suppose 2*a = 2*y + 148, -4*a - h*y + 256 = y. Suppose -99*w**2 - 45/2*w**5 + 6*w + a*w**4 + 12 - 3/2*w**3 = 0. Calculate w.
-1, -1/3, 2/5, 2
Let j(u) be the third derivative of u**7/140 - 3