5 - 6*n**2. Find f, given that i(f) = 0.
-1, 0
Let v(c) be the second derivative of -1/15*c**4 + 0*c**2 - 18*c + 4/15*c**3 - 1/25*c**5 + 0. Let v(j) = 0. Calculate j.
-2, 0, 1
Suppose 0 = -5*u - 5*c, -10*c + 11*c = u - 6. Let n be (u/33)/(-1) + 15/5. Factor 18/11*p**2 + n - 48/11*p.
2*(3*p - 4)**2/11
Let g(v) = -7*v**2 - 196*v - 9601. Let y(r) = -2*r**2 + 1. Let c(o) = 5*g(o) - 15*y(o). Factor c(u).
-5*(u + 98)**2
Let r(c) = -c**3 + c**2 - c + 1. Let o(j) = 4 + 5*j**3 - 6*j**2 + j**3 - 6*j + 2*j. Let p = 25 - 24. Let u(v) = p*o(v) + 4*r(v). Solve u(g) = 0 for g.
-2, 1, 2
Let u(z) be the second derivative of z**6/3 + z**5/4 - 5*z**4/6 - 5*z**3/6 + 33*z. Solve u(m) = 0 for m.
-1, -1/2, 0, 1
Let k(g) be the first derivative of 1/18*g**4 + 1/3*g**3 + 0*g - 1/2*g**2 - 1 - 1/90*g**5. Let s(l) be the second derivative of k(l). Factor s(t).
-2*(t - 3)*(t + 1)/3
Let a(m) be the second derivative of -m**5/70 + m**4/42 + 2*m**3/21 - m. Determine y, given that a(y) = 0.
-1, 0, 2
Let r be 27/36 + ((-259)/(-28) - 6). Suppose 0 = -4*k - 0*k + 12. Factor 1/4*c**2 + 9/4*c**r + 0 + 3/2*c**k + 0*c.
c**2*(3*c + 1)**2/4
Let -21/2 - 3/4*a**4 + 51/4*a**3 - 135/4*a**2 + 129/4*a = 0. Calculate a.
1, 14
Let 1/2*b**3 + 42*b + 19/2*b**2 + 0 = 0. What is b?
-12, -7, 0
Let m = -6 + 9. Find t such that 3*t - 11*t + m*t**3 + 0*t**2 + 3 - 3*t**2 + 5*t = 0.
-1, 1
Let f(m) be the first derivative of m**6/480 + m**5/120 + m**4/96 + 4*m**2 + 10. Let s(u) be the second derivative of f(u). Factor s(p).
p*(p + 1)**2/4
Suppose 3*y - 2*i + 8 = 0, 0 = 3*y + i + 694 - 698. Let d = 8 + -3. What is m in 1/2*m**d + 0*m**4 - 1/2*m**3 + 0*m**2 + y*m + 0 = 0?
-1, 0, 1
Suppose 5*z - 21 - 4 = 0. Suppose -4*n + 30 = -2*a - 0, 0 = -3*n + z*a + 19. Let 2 - 13 - 16*k + 3 + 12*k**2 - n = 0. What is k?
-2/3, 2
Let x(t) be the third derivative of -1/135*t**6 + 1/945*t**7 - 4/135*t**5 + 16/27*t**3 + t**2 + 1/3024*t**8 + 0*t + 0 + 2/27*t**4. Factor x(g).
(g - 2)**2*(g + 2)**3/9
Factor -2/5*f**3 + 0 + 0*f - 2/5*f**2.
-2*f**2*(f + 1)/5
Let c(d) be the first derivative of -d**4/30 - 6*d**3/5 - 81*d**2/5 + 3*d - 37. Let p(h) be the first derivative of c(h). Determine k, given that p(k) = 0.
-9
Factor 3/5*k**2 + 0 + 0*k + 1/5*k**5 - 3/5*k**4 - 1/5*k**3.
k**2*(k - 3)*(k - 1)*(k + 1)/5
Let j = -121/296 + 1547/888. Factor -1156/3 + 136/3*n - j*n**2.
-4*(n - 17)**2/3
Let w = -117 + 108. Let k be 0 + 7/w - (-26 - -25). Determine f, given that -k*f**4 - 26/9*f**2 - 8/9 - 4/3*f**3 - 8/3*f = 0.
-2, -1
Let u(l) be the first derivative of -1/8*l**3 + 3/32*l**4 + 0*l + 10 - 9/8*l**2. Factor u(j).
3*j*(j - 3)*(j + 2)/8
Suppose 4*l = -36*m + 31*m + 43, -l = 4*m - 19. Let -25/11 + 1/11*o**m - o**2 + 35/11*o = 0. What is o?
1, 5
Let z(m) be the second derivative of -m**5/20 + 4*m**4/3 - 29*m**3/6 + 7*m**2 - 54*m + 1. Determine w, given that z(w) = 0.
1, 14
Let s(i) = -7*i**4 - 11*i**3 - 12*i**2 + 2*i. Let k(n) = -n**4 + 2*n**3 - n**2 + n. Let j(g) = -2*k(g) + s(g). Find a such that j(a) = 0.
-2, -1, 0
Let l = -259 + 259. Let i(q) be the third derivative of -q**2 + 0*q - 1/6*q**3 - 1/30*q**6 - 3/20*q**5 + l - 1/4*q**4. Factor i(c).
-(c + 1)**2*(4*c + 1)
Solve -54/5*r**3 + 57/5*r - 3/5*r**5 + 24/5*r**4 - 36/5 + 12/5*r**2 = 0.
-1, 1, 3, 4
Let f = -19 - -15. Let i(n) = n**2 + 3*n + 3. Let v be i(f). What is r in r**4 + 3*r**5 + 17*r**2 + v*r**2 - 6*r**3 - 21*r - 5*r**4 - 2*r**4 + 6 = 0?
-2, 1
Let x(f) be the first derivative of -4*f**3/3 - 8*f**2 - 16*f + 711. What is m in x(m) = 0?
-2
Let n = -29846/7 + 4264. Factor -n*z**4 - 16/7*z**2 - 8/7*z - 10/7*z**3 + 0.
-2*z*(z + 1)*(z + 2)**2/7
Factor 195*g - 391*g**3 + 2117*g**3 + 3*g**5 - 62*g**4 - 82*g**4 + 140*g**3 - 3312*g**2 + 1392*g.
3*g*(g - 23)**2*(g - 1)**2
Let n(c) = -45*c**3 - 145*c**2 + 225*c + 215. Let a(h) = 5*h**3 + 16*h**2 - 25*h - 24. Let t(u) = 55*a(u) + 6*n(u). Determine y, given that t(y) = 0.
-3, -1, 2
Let f(a) = -a**3 - 2*a**2 - 2*a - 1. Let t be f(-1). Suppose t = 5*k - 6 - 34. Factor 2*j + 4*j**3 - 3*j + 5*j + k*j**2.
4*j*(j + 1)**2
Let m(a) = 3*a**2 - 3*a + 7. Let c(k) = k**2 - k + 4. Let n be 2/(-2) + 4*(-9)/(-12). Let o(u) = n*m(u) - 5*c(u). Suppose o(d) = 0. Calculate d.
-2, 3
Let n(l) = -l**4 + 28*l**3 + l**2 - 22*l - 6. Let s(j) = -2*j**3 + j + 1. Let p(d) = -n(d) - 6*s(d). Determine a, given that p(a) = 0.
-1, 0, 1, 16
Let u be 0/((-1)/4 + (-45)/(-36)). Let r = 301/740 - 1/148. What is q in 4/5*q - 4/5*q**3 + u + r*q**2 - 2/5*q**4 = 0?
-2, -1, 0, 1
Let l be (-8)/3*-4*(-7)/(-336). Let a(f) be the first derivative of 8 + 5/18*f**4 - l*f**2 - 2/27*f**3 - 4/45*f**5 + 0*f. Let a(i) = 0. Calculate i.
-1/2, 0, 1, 2
Suppose 7*z + 4*i = 8*z + 12, -2*z = 5*i + 24. Let p be 32/12*(-2)/z. What is f in -p + 2/9*f**2 - 10/9*f + 14/9*f**3 + 2/9*f**4 - 4/9*f**5 = 0?
-1, -1/2, 1, 2
Suppose 0*n = 2*n + 4. Let a be (1 - 25/10)/(n/4). Let 9/5 + 1/5*o**a + 3*o + 7/5*o**2 = 0. Calculate o.
-3, -1
Let q(t) be the third derivative of t**7/840 + 13*t**6/480 - 17*t**5/120 - 13*t**4/24 + 5*t**3 - 4*t**2 + 74*t. What is r in q(r) = 0?
-15, -2, 2
Let u(k) = 5*k**2 - 5*k. Let z(m) = -m**2 + 7*m - 6. Let x(v) = -v + 1. Let q(r) = 6*x(r) + z(r). Let t(d) = 4*q(d) + u(d). Find i, given that t(i) = 0.
0, 1
Let -2/9*b**3 + 32/9*b**2 - 2/9*b**4 + 0 - 40/9*b = 0. What is b?
-5, 0, 2
Let d(o) be the first derivative of 1/15*o**5 + 0*o**2 - 2/3*o**4 + 0*o + 16/9*o**3 - 20. Factor d(t).
t**2*(t - 4)**2/3
Let w(o) be the third derivative of -o**6/60 + 8*o**5/3 - 157*o**4/12 + 26*o**3 + 2*o**2 - 48*o. Find n such that w(n) = 0.
1, 78
Let v be (23/((-230)/200))/(-4). Let -10/3*o**v - 2/9 + 94/9*o**4 - 100/9*o**3 + 2/9*o + 4*o**2 = 0. What is o?
-1/5, 1/3, 1
Suppose 18*k**4 + 8/7*k - 16/7 + 268/7*k**2 - 386/7*k**3 = 0. Calculate k.
-2/9, 2/7, 1, 2
Let x(r) be the first derivative of r**3/9 + r**2/2 - 4*r/3 - 47. Factor x(z).
(z - 1)*(z + 4)/3
Let p(c) = -6*c**3 - 5*c**2 + 3. Let s be p(-1). Let v(y) be the second derivative of 7*y - 5/12*y**s - 10/3*y**3 + 0*y**2 + 0. Factor v(i).
-5*i*(i + 4)
Let l(q) be the second derivative of -q**7/2520 + q**6/60 - 3*q**5/10 - 13*q**4/12 - 2*q. Let o(h) be the third derivative of l(h). Factor o(f).
-(f - 6)**2
Let i(n) be the third derivative of -n**6/480 - 2*n**5/15 - 95*n**4/32 - 75*n**3/4 - 412*n**2. Find q, given that i(q) = 0.
-15, -2
Let o be (-3006)/3507*(14/(-6) - -1). Factor -o*f - 2/7*f**2 - 6/7.
-2*(f + 1)*(f + 3)/7
Suppose 20 = -3*h + 5*w, -2*h + 8*w = 13*w - 20. Let g(j) be the first derivative of 2/3*j - 2/9*j**3 + h*j**2 - 11. Suppose g(y) = 0. What is y?
-1, 1
Let y be 3 - (-6 - -2 - 2). Suppose 2*x + 5 - y = 0. Suppose -3 + 5 - 7*v - 3*v**2 + 7*v**3 + v**x = 0. Calculate v.
-1, 2/7, 1
Let i(m) be the first derivative of -m**5 + 40*m**4 - 520*m**3 + 2240*m**2 - 3920*m + 278. Factor i(c).
-5*(c - 14)**2*(c - 2)**2
Let w(i) be the second derivative of -i**7/70 + 3*i**6/50 - 3*i**5/50 - i**4/10 + 3*i**3/10 - 3*i**2/10 + 2*i + 179. Factor w(z).
-3*(z - 1)**4*(z + 1)/5
Let u(j) = 4*j**3 - 9*j**2 - 19*j + 3. Let c(v) = -3*v**3 + 9*v**2 + 20*v - 2. Let m(g) = 3*c(g) + 2*u(g). Solve m(r) = 0.
-2, 0, 11
Let f be (-329)/(-49) - ((-27)/21 - -1). Solve -16*z**2 - 12 + 4 - f*z + 38*z**2 + 47*z = 0.
-2, 2/11
Factor 3*d**2 + 300 - 71*d + 12*d - d.
3*(d - 10)**2
What is h in 5*h**3 - 195*h**2 + 61 - 266 + 14*h + 15*h - 295*h - 139*h = 0?
-1, 41
Let a be (-22)/4*-2 - 10/2. Let d(w) be the third derivative of 4*w**2 - 1/300*w**a - 1/150*w**5 + 0 + 0*w**3 + 0*w + 0*w**4. What is k in d(k) = 0?
-1, 0
Find g, given that 28 - 34*g - 6/7*g**3 - 80/7*g**2 = 0.
-7, 2/3
Let l(t) be the first derivative of -2*t**3/27 + 8*t**2/9 - 8*t/3 - 212. Factor l(j).
-2*(j - 6)*(j - 2)/9
Let z be -3 - (6 + -2 - 9). Let u(g) = 0 + 3*g**2 - 1 + 0 - z*g**2 + g**3. Let f(l) = 20*l**3 - 4*l**2 - 4*l - 6. Let y(m) = -f(m) + 6*u(m). Factor y(s).
-2*s*(s - 1)*(7*s + 2)
Let q(t) be the first derivative of 25/2*t**2 - 17 - 5*t - 20/3*t**3. Factor q(i).
-5*(i - 1)*(4*i - 1)
Let m = -24493 - -24495. Factor 0 - 2/3*c**m + 2/3*c.
-2*c*(c - 1)/3
Suppose 19*z + 8 = -4*m + 15*z, 0 = 4*m + z + 2. Factor m*o + 0*o**2 + 0*o**3 - o**4 + 0 - 1/4*o**5.
-o**4*(o + 4)/4
Let v(d) = d**2 - 8*d - 27. Let g(t) be the second derivative of t**4/12 + t**3/6 - t**2/2 + 7*t. Let b(a) = 10*g(a) - 5*v(a). Factor