p, -c - 3*p = 10. Let m(y) = y**2 - 4*y - 5. Let b be m(c). Factor 0*u + b*u**2 - 2/5*u**4 - 2/5*u**3 + 0.
-2*u**3*(u + 1)/5
Let 6/7 + 10/7*i**2 + 2/7*i**3 + 2*i = 0. Calculate i.
-3, -1
Let r(n) = -2*n - 12. Let u be r(-6). Suppose x + y - 8 = u, 3*y = x - y + 12. Factor 0 + 0*d - 2/9*d**3 - 2/9*d**5 - 4/9*d**x + 0*d**2.
-2*d**3*(d + 1)**2/9
Suppose q + 3*o = 11, 0*q + 4*q - 3*o + 16 = 0. Let x = q + 3. Factor -12*w**2 - 11*w**3 + 31*w**3 + 6*w - 2 - 8*w**2 - 10*w**4 + 4*w + x*w**5.
2*(w - 1)**5
Let w(x) = 74*x - 222. Let v be w(3). Determine q, given that v*q + 12/5*q**2 - 16/5 + 4/5*q**3 = 0.
-2, 1
Let i(a) = -a**3 + 3*a**2 - 12*a + 9. Let o be i(-6). Suppose 5*b - 5*b**3 - o*b**2 + 405*b**2 = 0. Calculate b.
-1, 0, 1
Let t(d) = d**3 - 5*d**2 + d - 3. Let l be t(5). Factor -27*c**l - 56*c - 22*c**3 - 4*c**4 + 75*c**2 + 8*c**3 + 6*c**3 + 20.
-4*(c - 1)**3*(c + 5)
Suppose 0*z + 207 = -3*i - 4*z, -i + 5*z = 69. Let m = -69 - i. Factor -2/15*k**3 + 0*k + 2/15*k**5 + 0*k**2 + m*k**4 + 0.
2*k**3*(k - 1)*(k + 1)/15
Let q(o) be the third derivative of 0*o**4 + 0 - 1/525*o**7 + 1/150*o**6 - 18*o**2 - 1/150*o**5 + 0*o**3 + 0*o. Factor q(w).
-2*w**2*(w - 1)**2/5
Let g(p) be the second derivative of p**7/210 + 2*p**6/75 + p**5/100 - p**4/6 - 2*p**3/15 + 4*p**2/5 + 81*p. Determine z, given that g(z) = 0.
-2, 1
Factor 0 + 0*o - 675*o**2 + 45*o**3 - 3/4*o**4.
-3*o**2*(o - 30)**2/4
Let t(r) be the second derivative of -r**7/504 + 11*r**6/72 - 121*r**5/24 - 41*r**4/12 - 22*r. Let f(p) be the third derivative of t(p). Factor f(g).
-5*(g - 11)**2
Let o(i) be the first derivative of -i**4/5 - 16*i**3/15 + 93. Factor o(h).
-4*h**2*(h + 4)/5
Let k = -13 + 19. Let u = 50 - 48. Factor 0 - 14*f**u - k*f - 7*f**4 + 4 + 17*f**4 + 6*f**3.
2*(f - 1)*(f + 1)**2*(5*f - 2)
Factor 5*c**3 - 48*c - 135*c**2 - 275 + 102 - 287 + 528*c.
5*(c - 23)*(c - 2)**2
Let p be (-2 + -2)*(-10 + 9). Suppose 4*z + 5*a - 50 = -13, 2*a = p*z - 2. Suppose -8/5 - 2/5*y**z + 0*y + 6/5*y**2 = 0. Calculate y.
-1, 2
Let m(p) be the second derivative of 10*p - 3/20*p**5 - 2*p**2 + 0 - 17/6*p**3 - 4/3*p**4. Suppose m(d) = 0. Calculate d.
-4, -1, -1/3
Let w be (1105/360*2 - 6) + (-5)/(-60). Let 2/9*s**5 + w*s**4 + 4/9*s**2 - 4/3*s**3 + 10/9*s - 2/3 = 0. What is s?
-3, -1, 1
Let a(z) = -100*z**2 - 176*z + 36. Let y(l) = -200*l**2 - 352*l + 70. Let s(i) = -13*a(i) + 6*y(i). Solve s(t) = 0 for t.
-2, 6/25
Let j(m) be the third derivative of -m**7/420 - m**6/40 - m**5/10 - m**4/6 - 59*m**2. Solve j(f) = 0.
-2, 0
Let f = 16 + -20. Let s be (442/(-150) + 3)/(f/(-10)). Factor -2/15*w**5 - s*w + 0 + 0*w**4 + 4/15*w**3 + 0*w**2.
-2*w*(w - 1)**2*(w + 1)**2/15
Factor 14/3*l + 8/3 + 4/3*l**2 - 2/3*l**3.
-2*(l - 4)*(l + 1)**2/3
Factor 54/19*n - 24/19*n**2 - 28/19 - 2/19*n**3.
-2*(n - 1)**2*(n + 14)/19
Solve 0 + 6/5*d**4 + 0*d + 4/5*d**2 - 2*d**3 = 0.
0, 2/3, 1
Suppose -2*r + 3*o = -177, 5*r - 423 = 23*o - 22*o. Let n be 1*8/(-14) - (-160)/r. Solve 0 - 2/3*j**2 + 2/3*j**4 - n*j**3 + 4/3*j = 0 for j.
-1, 0, 1, 2
Let m(y) be the second derivative of y**6/30 - y**5/2 - 13*y**4/12 + 11*y**3/3 - 404*y. Find v, given that m(v) = 0.
-2, 0, 1, 11
Let l(p) be the second derivative of 2*p**6/5 + p**5 - 40*p**4/3 - 200*p**3/3 - 96*p**2 - 26*p - 2. Suppose l(v) = 0. Calculate v.
-3, -2, -2/3, 4
Let p(u) = -6*u - 6. Suppose 5*r + 2*x + 4 = -21, 3*x + 18 = -r. Let n be p(r). Find s, given that -4*s**3 + 4*s**4 - n*s**2 + 0*s**2 + 1 + 7 + 4*s = 0.
-1, 1, 2
Factor 4*u**3 - 2060*u - 6*u**2 + u**4 + 2048*u - 4*u**2 + u**4.
2*u*(u - 2)*(u + 1)*(u + 3)
Find j such that -17*j**3 + 32*j**2 + 14*j**3 - 20 + 7*j**3 - 4*j - 2*j**4 - 10 = 0.
-3, -1, 1, 5
Let h be (8*-1)/(-4) + 3 + -68. Let d = 63 + h. Factor d + 2/7*v**4 + 2/7*v**5 - 4/7*v**3 + 0*v + 0*v**2.
2*v**3*(v - 1)*(v + 2)/7
Factor -u**3 + u**5 - 47*u - 7*u**4 + 2*u**3 + 106*u - 41*u + 27*u**2.
u*(u - 6)*(u - 3)*(u + 1)**2
Let m = 21505/24 + -896. Let k(u) be the third derivative of -1/240*u**5 - 1/48*u**4 - m*u**3 + 0 - 10*u**2 + 0*u. Solve k(d) = 0 for d.
-1
Let r(i) = -5*i**3 + 21*i**2 + 19*i + 8. Let n be r(5). Determine q, given that 0*q + 5/3*q**2 + 0 - 5/6*q**5 - 5/3*q**4 + 5/6*q**n = 0.
-2, -1, 0, 1
Let t be ((-5)/((-20)/8))/(22 - 6). Let l(p) be the second derivative of -12*p**2 - 2*p**3 - 6*p + 0 - t*p**4. What is h in l(h) = 0?
-4
Let d = 25 + -9. Let w(t) be the first derivative of -180*t**3 - 8*t**4 - d*t - 3 + 3*t**4 + 40*t**2 + 148*t**3 + 5*t**5. Determine u, given that w(u) = 0.
-2, 2/5, 2
Let g be (-3)/(12/(-28)) - 2. Suppose 0 = -g*j + 33 - 3. Factor 6*v - 3*v**2 + 0*v - j + 7*v - 4*v.
-3*(v - 2)*(v - 1)
What is j in 8/5*j + 2/5*j**4 - 8/5*j**3 + 4/5*j**2 - 6/5 = 0?
-1, 1, 3
Let a(w) = w**3 + 45*w**2 + 78*w - 340. Let b be a(-43). Let x(l) = l**2 + 4*l - 3. Let q be x(-5). Solve -12/7 - 12/7*y**3 + 4*y + b*y**q = 0.
-1, 1/3, 3
Solve 2611*x**2 - 7 + 12*x - 1 - 2615*x**2 = 0 for x.
1, 2
Factor -24*w - 2*w**3 - 30*w**2 - 16*w - 24*w + 66*w**2.
-2*w*(w - 16)*(w - 2)
Suppose -16 = -i - 13. Suppose 5*x = -5*l + 30, 7*l + 2 = 2*l + i*x. What is h in 0*h**l + 2*h**4 + 0*h**3 + 4*h**2 + 6*h**3 = 0?
-2, -1, 0
Let a be 0/1*(1 - 0). Factor -i**2 + a*i**2 - 9*i + 8*i.
-i*(i + 1)
Let h(d) = -4*d**2 - 5*d + 11. Let n(k) = -17*k**2 - 19*k + 45. Let a(c) = -9*h(c) + 2*n(c). Factor a(b).
(b - 1)*(2*b + 9)
Let i(h) be the second derivative of -21/20*h**5 - 9/2*h**4 - 10*h**3 - 12*h**2 - 13*h + 0 - 1/10*h**6. Factor i(w).
-3*(w + 1)*(w + 2)**3
Let f(r) be the second derivative of -r**5/80 + r**4/32 + 10*r**2 - 17*r. Let b(l) be the first derivative of f(l). Factor b(q).
-3*q*(q - 1)/4
Let a = -162014/105 + 1543. Let v(n) be the third derivative of 0*n**4 + 0*n**5 + 0*n - 5*n**2 + 0*n**6 + 1/168*n**8 + 0*n**3 + 0 + a*n**7. Factor v(c).
2*c**4*(c + 1)
Let m(u) = 4*u**3 + 33*u**2 - 78*u + 36. Let k(a) = -2*a**3 - 16*a**2 + 38*a - 18. Let c(l) = 5*k(l) + 2*m(l). What is n in c(n) = 0?
-9, 1
Let d be 26/(2/1) - 8. Let p(m) be the second derivative of -1/6*m**3 + 0*m**2 + 0 + 1/20*m**5 + 1/60*m**6 + d*m - 1/24*m**4. Solve p(y) = 0 for y.
-2, -1, 0, 1
Let w = 57560/3 - 19186. Factor 40/3*h + 200/3 + w*h**2.
2*(h + 10)**2/3
Let a = -2681 - -2685. Find p, given that 7/4*p**a - 3/2 + 23/4*p**3 - 1/4*p**2 - 23/4*p = 0.
-3, -1, -2/7, 1
Let k be 2/6 + -3*(-426)/(-4320). Let y(p) be the second derivative of 3/8*p**2 - k*p**5 + 3/16*p**4 + 0 - 7*p - 3/8*p**3. Factor y(c).
-3*(c - 1)**3/4
Suppose 0 = -5*z + 3*p + 25, -3*z - 14 = 2*p + 2*p. Factor y**2 - 4 + z - 25*y + 26*y.
(y - 1)*(y + 2)
Let c be (-1)/(-2) + (-2 - (5 + -9)). Let u(i) = -i**2 - 3*i + 2. Let t be u(-3). Suppose c*n**t - 1/2 + 2*n = 0. What is n?
-1, 1/5
Let c = 26 - 26. Suppose c = w - 4. Factor -2*g**3 - g**2 + 2 + 5*g**3 - 3*g - 2*g**4 + 7*g**4 - 6*g**w.
-(g - 2)*(g - 1)**2*(g + 1)
Let d(c) be the second derivative of -c**4/66 + c**3/11 - 2*c**2/11 - 20*c - 3. Let d(t) = 0. Calculate t.
1, 2
Let l = 36 - 32. Let u(w) = -7*w**2 + 5*w - 6. Let z(j) = -6*j**2 + 6*j - 6. Let m(i) = l*z(i) - 3*u(i). Suppose m(g) = 0. Calculate g.
1, 2
Let d(y) be the third derivative of -y**5/210 + y**4/42 - 123*y**2. Factor d(x).
-2*x*(x - 2)/7
Let x(f) be the third derivative of -1/20*f**5 + 11*f**2 + f**3 + 0 + 0*f + 1/8*f**4. Find b, given that x(b) = 0.
-1, 2
Let q be (-23954)/(-1652) + (-12 - 0). Find g such that 8*g**2 + 9/2*g**3 - 1 + q*g = 0.
-1, 2/9
Let f(o) be the third derivative of o**7/105 + o**6/60 - o**5/10 - 5*o**4/12 - 2*o**3/3 + 123*o**2. Find c, given that f(c) = 0.
-1, 2
Let m(q) be the third derivative of 0*q + 5/336*q**8 + 8 + 0*q**3 + 4*q**2 - 25/6*q**5 - 2/7*q**7 + 15/8*q**6 + 0*q**4. Factor m(f).
5*f**2*(f - 5)**2*(f - 2)
Let p = 23130 - 23128. Let -45/8*a - 3/8*a**3 + 21/8*a**p + 27/8 = 0. Calculate a.
1, 3
Let y(x) = 11*x**3 + 64*x**2 - 7. Let o(h) = 5*h**3 + 32*h**2 - 3. Let g(s) = 7*o(s) - 3*y(s). Solve g(a) = 0.
-16, 0
Suppose p + 0 + 5 = 0, 2*x - 5*p - 37 = 0. Suppose 6*q**3 + 16*q - 12*q**2 - 4*q**3 - x*q = 0. Calculate q.
0, 1, 5
Suppose 5*t + 3 = -y, y - 3*t - 81 = -76. Suppose 0*j - 20/3*j**3 + 0 + 2/3*j**4 + 50/3*j**y = 0. What is j?
0, 5
Let c(a) be the first derivative of a**6/14 - 6*a**5/7 + 18*a**4/7 + 10*a**3/7 - 75*a**2/14 + 121. Solve c(r) = 0 for r.
-1, 0, 1, 5
Factor 2351*t**2 - 1175*t**2 - 1179*t**2 - 