6 - 47, 4*v - 4*g = 100. Suppose j - v = -2*j. Suppose -6*m**2 + j*m**3 - 2 + 6*m - 8*m**3 + 3*m**3 = 0. Calculate m.
1
Let p(h) be the third derivative of h**7/735 - h**6/420 - h**5/210 + h**4/84 + 2*h**2. Factor p(i).
2*i*(i - 1)**2*(i + 1)/7
Let a = 45 - 23. Factor 17*g**3 - a*g**4 + 53*g**2 - 53*g**3 - 6*g + 7*g**4 - 80*g**2.
-3*g*(g + 1)**2*(5*g + 2)
Let p(y) be the second derivative of -y**8/3360 + 11*y**7/3780 - y**6/216 - y**5/60 + 5*y**4/12 - 6*y. Let z(j) be the third derivative of p(j). Factor z(v).
-2*(v - 3)*(v - 1)*(3*v + 1)/3
Let d be (-2)/5 - 6/(-15). Let f(v) be the second derivative of 2*v - 1/80*v**5 + 1/24*v**3 + d*v**4 + 0*v**2 + 0. Find u such that f(u) = 0.
-1, 0, 1
Let z = 71/2 - 35. Let y(v) be the second derivative of -2*v - 1/4*v**3 + 0 + z*v**2 - 7/24*v**4 + 1/12*v**6 + 3/40*v**5. Factor y(h).
(h - 1)*(h + 1)**2*(5*h - 2)/2
Let y be ((-24)/32)/((-9)/2). Factor 1/6*h**2 - 1/6*h - y*h**4 + 1/6*h**3 + 0.
-h*(h - 1)**2*(h + 1)/6
Solve -192*l**4 - 70*l**2 - 40*l + 5*l**5 + 207*l**4 + 10*l**2 - 10*l**3 = 0 for l.
-2, -1, 0, 2
Let x(g) = g**3 - g**2 + g. Suppose 5*c + 2*w - 90 = -0*w, 3*w = 0. Let k(d) = -7*d**3 + 9*d**2 - 15*d + 4. Let u(f) = c*x(f) + 2*k(f). Solve u(a) = 0.
-2, 1
Factor 0*r**5 + r**5 - 2*r**4 - 4*r**5 - r**3 + 2*r**5.
-r**3*(r + 1)**2
Factor -9*z - 5/3*z**3 - 6*z**2 - 9/2 - 1/6*z**4.
-(z + 1)*(z + 3)**3/6
Let w(p) = -9*p**3 + 10*p**2 - 17*p + 8. Let x(j) = -6*j**3 + 7*j**2 - 11*j + 5. Let r(v) = -5*w(v) + 8*x(v). Factor r(q).
-3*q*(q - 1)**2
Let r(x) = 5*x**2. Let o be r(1). Let j(w) be the third derivative of -1/3*w**3 - 1/5*w**o + 0*w + 1/15*w**6 - 1/105*w**7 + 0 + 1/3*w**4 - 2*w**2. Factor j(k).
-2*(k - 1)**4
Suppose 5*r - 40 = 3*m, -3*r + 24 = m + 4*m. Find b, given that -7*b**4 - 8*b**3 - r*b + 32*b**2 - 25*b**4 + 14*b**5 + 2*b**3 = 0.
-1, 0, 2/7, 1, 2
Let l(p) be the second derivative of 0 - 2/33*p**3 + 2*p - 2/55*p**5 + 0*p**2 + 7/66*p**4 - 4/165*p**6. Factor l(c).
-2*c*(c + 2)*(2*c - 1)**2/11
Let m(s) = -s**2 - 11*s - 26. Let x be m(-7). What is b in 2/7 + 4/7*b + 2/7*b**x = 0?
-1
Let c(y) = -y**3 + 11*y**2 - 8*y - 12. Let n be c(10). Factor -8/3*f + 0 + 14/3*f**3 + n*f**2.
2*f*(f + 2)*(7*f - 2)/3
Let j be (2 - 0/(-2))*2. Let i be 0 + (j - (-2 - -4)). Factor s**i - s + s.
s**2
Let x(d) be the first derivative of d**2 + 2 - d - 5/3*d**3 + 2/3*d**4. Let l(r) be the first derivative of x(r). Factor l(q).
2*(q - 1)*(4*q - 1)
Let i(p) be the second derivative of 0*p**2 - 2/39*p**3 - 3*p + 0*p**5 + 0 + 7/78*p**4 - 3/65*p**6. Solve i(v) = 0.
-1, 0, 1/3, 2/3
Let f(j) = 2*j + 16. Let l be f(-6). Suppose p - o = -5, l*o - 25 = -o. Solve -2/9*z**3 + p*z**2 + 0 + 2/9*z = 0 for z.
-1, 0, 1
Let p(c) be the second derivative of c**6/30 - c**5/20 - c**4/6 - c. Suppose p(v) = 0. What is v?
-1, 0, 2
Factor -5*k**5 + 8*k**5 + 9*k**2 - 2*k + 4*k + 11*k**4 + 0*k + 15*k**3.
k*(k + 1)**3*(3*k + 2)
Suppose 2 = 3*j + 11, -d = -3*j - 61. Let o = d - 207/4. Determine a so that 1/4*a**5 + 1/4*a**4 + 0 + 0*a - 1/4*a**3 - o*a**2 = 0.
-1, 0, 1
Let y(c) = c**4 + 26*c**3 + 5*c**2 - 14*c - 6. Let k(j) = -5*j**4 - 155*j**3 - 30*j**2 + 85*j + 35. Let q(h) = 6*k(h) + 35*y(h). Determine f so that q(f) = 0.
-1, 0, 1, 4
Let b(f) = -10*f**3 - 5*f**2 - 22*f + 1. Let n(r) = -3*r**3 - 2*r**2 - 7*r. Let w(k) = 4*b(k) - 14*n(k). Let w(q) = 0. Calculate q.
-2, -1
Let b(d) be the third derivative of -d**8/23520 + d**6/840 + d**5/210 - d**4/12 + 4*d**2. Let p(k) be the second derivative of b(k). Solve p(t) = 0 for t.
-1, 2
Suppose 5*k - 4*k = -5*n + 9, -4*n = 5*k - 3. Find y, given that 6/5*y**n + 2*y - 4/5 = 0.
-2, 1/3
Let y = 2478 - 743399/300. Let o(p) be the third derivative of 0*p**3 + 0 + 0*p**4 + p**2 + 1/150*p**5 + y*p**6 + 0*p. Determine b so that o(b) = 0.
-1, 0
Solve -1/2*w**3 + 0 + 0*w + 0*w**2 = 0.
0
Let w(a) = -11*a**5 + a**4 + 3*a**2. Let q(i) = i**5 - i**4 + i**2. Let o(l) = -6*q(l) + 2*w(l). Factor o(j).
-4*j**4*(7*j - 2)
Suppose -14 = -5*x + 11, 2*t - 3*x + 9 = 0. Factor -4*f + 6*f**t - 6*f**2 + 8*f**2 - 2 - 2*f.
2*(f - 1)*(f + 1)*(3*f + 1)
Let t be 0 - 1 - (-150 + 2). Let a = -731/5 + t. Factor 2/5*y**4 + 0 + 2/5*y**2 + a*y**3 + 0*y.
2*y**2*(y + 1)**2/5
Let c(j) be the first derivative of j**4/24 + j**3/6 + j**2/4 + j/6 - 1. Factor c(s).
(s + 1)**3/6
Let t(q) be the second derivative of q**5/10 + q**4/2 + q**3 + q**2 + 14*q. Determine z so that t(z) = 0.
-1
Factor -50*f - 1/6*f**3 + 5*f**2 + 500/3.
-(f - 10)**3/6
Let p be (6/(-4))/((-69)/184). Find k, given that -3/4*k**2 + 0 + 1/4*k - 1/4*k**p + 3/4*k**3 = 0.
0, 1
Let y(l) = -l**3 - l**2 - l. Let i(s) = 22*s**3 + 259*s**2 + 610*s - 150. Let a(j) = i(j) - 5*y(j). Factor a(f).
3*(f + 5)**2*(9*f - 2)
Let c(x) be the second derivative of 0 + 1/9*x**4 + 1/30*x**5 + 5*x - 1/9*x**3 - 2/3*x**2. Solve c(a) = 0 for a.
-2, -1, 1
Let z(a) be the third derivative of -a**7/420 - 7*a**6/240 - 11*a**5/120 - 5*a**4/48 - 43*a**2. Factor z(t).
-t*(t + 1)**2*(t + 5)/2
Let f = 26/7 + -71/21. Factor -f*k**2 + 0 + 1/3*k.
-k*(k - 1)/3
Let t(m) be the second derivative of 0*m**5 - 1/2*m**2 + 0 + 0*m**3 - 2*m - 1/300*m**6 + 1/60*m**4. Let r(v) be the first derivative of t(v). Factor r(h).
-2*h*(h - 1)*(h + 1)/5
Let m(t) be the second derivative of -13*t**5/20 - 5*t**4/12 - t**3/6 + 6*t**2 + 6*t. Let o(p) = 6*p**3 + 3*p**2 - 6. Let f(u) = -3*m(u) - 7*o(u). Factor f(n).
-3*(n - 1)*(n + 1)*(n + 2)
Suppose -4*u + 12 + 0 = 0. Determine y, given that 0*y**4 - 3*y + y**4 + 0*y**4 + 7*y**2 - 3*y**3 - 2*y**u = 0.
0, 1, 3
Let s(v) be the first derivative of -5*v**4/4 - 20*v**3/3 - 25*v**2/2 - 10*v + 9. Find d such that s(d) = 0.
-2, -1
Let v(x) = x. Let h(o) = 4*o**4 - 32*o**3 + 64*o**2 - 4*o. Let y(g) = -h(g) - 4*v(g). Suppose y(d) = 0. Calculate d.
0, 4
Let h(l) be the second derivative of l**6/15 + 2*l**5/5 - l**4/6 - 4*l**3/3 - 62*l. Determine r so that h(r) = 0.
-4, -1, 0, 1
Suppose -32 = -5*y - 12. Let j be (-12)/9*(-18)/y. Factor 4*r - j - 2/3*r**2.
-2*(r - 3)**2/3
Factor 5*n**3 + 13*n**3 - 2*n**3 - 4*n**4 - 16*n**2.
-4*n**2*(n - 2)**2
Let j(r) = 12*r**4 + 17*r**3 + 10*r**2 + 5*r. Let t(x) = -25*x**4 - 33*x**3 - 19*x**2 - 11*x. Let m(o) = 14*j(o) + 6*t(o). Let m(u) = 0. Calculate u.
-1, -2/9, 0
Let z(k) = k - 6. Let o be z(8). Let y = 2 + o. What is p in -2*p**4 + 6*p**3 + 2*p - 8*p**y + 10*p**2 - 8*p**5 + 0*p**5 = 0?
-1, -1/4, 0, 1
Factor -16/13*p - 24/13 + 2/13*p**2 + 2/13*p**3.
2*(p - 3)*(p + 2)**2/13
Factor 1/3*a**2 - 1/3 + 1/3*a - 1/3*a**3.
-(a - 1)**2*(a + 1)/3
Let z(q) be the first derivative of -q**3 - 6*q**2 - 12*q + 3. Factor z(k).
-3*(k + 2)**2
Let b(o) = -4*o**3 - 2*o**2 - o + 3. Let x be 5/35 + 54/14. Let w(l) = -5*l**3 - 2*l**2 - l + 4. Let z(c) = x*b(c) - 3*w(c). Factor z(q).
-q*(q + 1)**2
Let f(g) be the second derivative of -1/18*g**4 + 0 + 0*g**3 - 6*g + 1/3*g**2. Factor f(x).
-2*(x - 1)*(x + 1)/3
Suppose 4*m = -4*g + 24, 4*g = -0*g - 3*m + 22. Suppose 0 = -g*z + 1 + 7. Factor 0 - 1/4*u - 1/4*u**z.
-u*(u + 1)/4
Let k be (-113)/(-4) - (-4)/(-16). Suppose -9 = -3*s - 3*m + 27, s + 5*m - k = 0. Find g such that -3 + 8*g - s*g**2 - 1 + 2 = 0.
1/2
Determine q so that 2/13*q**4 + 20/13*q + 6/13 + 12/13*q**3 + 24/13*q**2 = 0.
-3, -1
Let u(p) = p - 3. Let g be u(9). Let b(z) = -62*z**3 - 4*z**2 - 2*z - 6. Let x(c) = 61*c**3 + 3*c**2 + c + 5. Let v(y) = g*x(y) + 5*b(y). Factor v(h).
2*h*(4*h + 1)*(7*h - 2)
Let j(n) = 111*n**4 - 141*n**3 - 171*n**2 + 60*n. Let l(o) = 11*o**4 - 14*o**3 - 17*o**2 + 6*o. Let u(m) = 2*j(m) - 21*l(m). Factor u(i).
-3*i*(i - 2)*(i + 1)*(3*i - 1)
Let o(q) = 14*q**2 + 2*q - 41. Let j(z) = 5*z**2 + z - 14. Let y(k) = -11*j(k) + 4*o(k). Factor y(n).
(n - 5)*(n + 2)
Let y(c) be the third derivative of c**6/30 + 7*c**5/60 + c**4/12 - c**3/6 - 17*c**2. Factor y(x).
(x + 1)**2*(4*x - 1)
Let z(d) be the first derivative of d**6/900 - d**5/300 - d**3/3 - 1. Let u(s) be the third derivative of z(s). Factor u(b).
2*b*(b - 1)/5
Let z(q) be the first derivative of q**3 - 3*q**2/2 + 1. Determine x so that z(x) = 0.
0, 1
Let u be (-4)/8*0 - -2. Let g(s) be the first derivative of s**2 - s - u - 1/3*s**3. Factor g(l).
-(l - 1)**2
Let p = 5 + -1. Let s(q) be the first derivative of -2/5*q**5 + 0*q**2 + 1 + 0*q + 0*q**3 - 1/2*q**p. Factor s(m).
-2*m**3*(m + 1)
Let q = 1/38 - -28/19