31/18*r**3 + 127/24*r**4 + 1/4*r**6 + 16/3*r**2 + 2*r + 19/10*r**5 + 10. Let t(x) = 0. Calculate x.
-3, -1, -2/3
Let j(v) be the first derivative of -v**2 + 3/5*v**5 + 1/4*v**4 - v**3 + 0*v + 1/6*v**6 - 40. Factor j(w).
w*(w - 1)*(w + 1)**2*(w + 2)
Let u(h) = h**3 + 2*h**2 + 2*h + 2. Let t be u(0). Let j(n) be the first derivative of 2/15*n**3 + 2/5*n + 2/5*n**t + 3. Determine m so that j(m) = 0.
-1
Let s(m) be the first derivative of 3*m**4/4 - 6*m**3 + 27*m**2/2 - 12*m + 27. Factor s(l).
3*(l - 4)*(l - 1)**2
Let y(q) be the second derivative of -3*q + 0 + 1/70*q**5 - 3/14*q**2 - 1/12*q**4 + 4/21*q**3. Factor y(t).
(t - 1)**2*(2*t - 3)/7
Suppose -4*j + 3*s + 10 = -3*j, -5*s = 0. Factor 769*c**2 + 2*c + j*c + 4*c**3 - 753*c**2.
4*c*(c + 1)*(c + 3)
Let q(a) = -a**4 - 213*a**3 - 359*a**2 - 163*a + 8. Let z(l) = -l**4 - 141*l**3 - 239*l**2 - 109*l + 5. Let j(d) = -5*q(d) + 8*z(d). Factor j(n).
-3*n*(n + 1)**2*(n + 19)
Let q be -1 + ((-198)/(-36) - (-6)/4). Suppose -q*v = -13*v + 14. Factor 33*c**3 - 4*c + 0 + v*c**2 + 63/2*c**4.
c*(3*c + 2)**2*(7*c - 2)/2
Let g(l) = l**2 + 20*l + 33. Let w(h) = h**2 + 2*h - 1. Let x(u) = -g(u) + 3*w(u). Solve x(p) = 0 for p.
-2, 9
Let i(g) = -8*g**3 + 20*g**2 + 12*g - 16. Let z = 0 - -1. Let t(q) = q**3 + q**2. Let c(s) = z*i(s) + 16*t(s). Factor c(m).
4*(m + 1)*(m + 4)*(2*m - 1)
Let m(p) = -p**3 + 1. Suppose -2*b + 4*o = -6*b - 4, 4*b = -3*o - 2. Let t(s) = 10*s**3 + 20*s**2 - 5. Let r(a) = b*t(a) + 5*m(a). Factor r(v).
5*v**2*(v + 4)
Let z(c) be the second derivative of 1/15*c**5 + 0*c**4 + 32*c - 8/3*c**3 + 32/3*c**2 + 0. Suppose z(s) = 0. Calculate s.
-4, 2
Let v be (6/(-9))/((20/504)/5). Let z = v + 87. Let -3*p**4 - 3/4*p - 9/2*p**3 + 0 - 3/4*p**5 - z*p**2 = 0. What is p?
-1, 0
Suppose 12/5*h**4 - 24/5*h + 32/5*h**3 - 4*h**2 + 0 = 0. What is h?
-3, -2/3, 0, 1
Let b(j) be the first derivative of 2*j**6 + 32*j**5/5 + 2*j**4 - 32*j**3/3 - 10*j**2 - 7. Determine f so that b(f) = 0.
-5/3, -1, 0, 1
Suppose -2 + 92 - 8 = 41*t. What is s in 0 - 3/5*s**4 + 9/5*s + 3/5*s**3 + 3*s**t = 0?
-1, 0, 3
Let s(b) = -3*b**3 - b**2 + 1. Let g be s(-1). Find x such that x - 4*x**2 - 9*x**2 + 6*x**4 - 4*x**g + 7*x**2 + 3*x = 0.
-1, 0, 2/3, 1
Let v(o) be the first derivative of 8*o**5/55 - 7*o**4/22 - 4*o**3/33 - 243. Factor v(c).
2*c**2*(c - 2)*(4*c + 1)/11
Suppose 5*h - 20 = -5*h. Factor -223*w**4 + 221*w**4 + h*w**2 - 2*w**2 + 4*w**2 + 2*w**3.
-2*w**2*(w - 2)*(w + 1)
Let j(q) be the first derivative of -55/4*q**4 - 5/2*q**2 + 5*q**5 + 35/3*q**3 + 0*q - 8. Determine z, given that j(z) = 0.
0, 1/5, 1
Let g(f) be the third derivative of -f**5/90 - 221*f**4/18 - 48841*f**3/9 - 667*f**2. Suppose g(v) = 0. What is v?
-221
Let d be -3*5/(7 + -12). Let y be (3/45)/(d/36). Determine z so that 2/5*z**4 - 6/5*z**3 + 0*z + y*z**2 + 0 = 0.
0, 1, 2
Let p(h) be the second derivative of 1/6*h**6 - 10*h**2 - 25/6*h**3 + 5/4*h**5 + 0 + 13*h + 5/4*h**4. Factor p(x).
5*(x - 1)*(x + 1)**2*(x + 4)
Let g(j) be the third derivative of j**8/2520 - 4*j**7/1575 - 13*j**6/900 + 2*j**5/225 + j**4/15 + 193*j**2. Solve g(q) = 0.
-2, -1, 0, 1, 6
Let z = -2/1135 + 1818/1135. Solve 16/5*b + z + 2*b**2 + 2/5*b**3 = 0.
-2, -1
Suppose -18 = -4*b + 2*i, -i + 5 - 6 = 2*b. Let t(z) be the third derivative of 0*z**3 + 0*z + 1/60*z**5 + 0 - 8*z**b + 1/24*z**4. Find h such that t(h) = 0.
-1, 0
Determine n so that -44*n**2 - 48*n - 169 + 75 + 76 - 2*n**4 - 16*n**3 = 0.
-3, -1
Factor -2 - y**2 - 18*y - 14 - 2*y**2 + 0*y**2 + 1.
-3*(y + 1)*(y + 5)
Let v be ((-8)/416*-13)/(18/16). Factor 16/9*x + v*x**2 + 32/9.
2*(x + 4)**2/9
Suppose 4*x + 7 = 35. Find d such that -20*d**2 - x*d + 10*d**4 - 5*d**5 + 15*d**3 - 13*d + 17 - 17 = 0.
-1, 0, 2
Let y(p) be the second derivative of -p**8/16800 + p**4/12 - 10*p. Let b(a) be the third derivative of y(a). Let b(n) = 0. What is n?
0
Let a = -277 - -404. Let n = a - 887/7. Factor -n*z**2 + 2/7 + 0*z.
-2*(z - 1)*(z + 1)/7
Let v(r) be the second derivative of -r**4/90 + 28*r**3/9 - 980*r**2/3 + 26*r + 1. Factor v(n).
-2*(n - 70)**2/15
Let 0*s + 0 + 4/5*s**3 + 4/5*s**2 - 4/5*s**4 - 4/5*s**5 = 0. What is s?
-1, 0, 1
Find w such that -88 - 48*w - 21 + 40 - 48 - 3*w**2 = 0.
-13, -3
Let g = 2/39347 - 81392/53079103. Let v = 43162/4047 - g. Factor -8/3*w**2 - 128/9 + 2/9*w**3 + v*w.
2*(w - 4)**3/9
Suppose 51*m - 16*m - 210 = 0. Let i(o) be the second derivative of 1/20*o**m + 0*o**2 + 0*o**5 - 1/8*o**3 + 1/56*o**7 - 1/8*o**4 + 0 + 6*o. Factor i(q).
3*q*(q - 1)*(q + 1)**3/4
Let g(l) be the second derivative of l**6/210 - l**5/35 + l**4/84 + l**3/7 - 477*l. Let g(w) = 0. What is w?
-1, 0, 2, 3
Let f be 3 + (-2)/(-2)*-2. Let u be (((-28)/35)/(f/5))/(-5). Factor -u*p**4 + 4/5*p**2 + 0 + 2/5*p**5 - 2/5*p + 0*p**3.
2*p*(p - 1)**3*(p + 1)/5
Suppose 2*s + 25 = -3*s, b = 3*s - 270. Let h = b - -585/2. Let -h*r**3 + 0 + 3/2*r**2 - 9/2*r**5 + 0*r + 21/2*r**4 = 0. What is r?
0, 1/3, 1
Let z(g) = -3*g**4 + 30*g**3 - 24*g**2 - 12*g + 27. Let l(r) = r**3 - r**2 + r + 1. Let m(a) = -9*l(a) + z(a). Find t, given that m(t) = 0.
-1, 1, 6
Solve 2/9 + 7/3*h + 29/9*h**5 + 166/9*h**3 - 104/9*h**2 - 38/3*h**4 = 0.
-2/29, 1
Let u = 109/11 + 3668/55. Let b = u - 76. Factor 9/5*y + b*y**2 + 6/5.
3*(y + 1)*(y + 2)/5
Let w(i) = -2*i**3 - 16*i**2 - 27*i - 13. Let v(l) = -5*l**2 - 9*l - 4. Let t(a) = -7*v(a) + 2*w(a). Let t(f) = 0. Calculate f.
-1, -1/4, 2
Let 18*i + 16 + 16*i**2 + 21 - 37 - 2*i**3 = 0. Calculate i.
-1, 0, 9
Suppose 6*j - 10*j + 4 = 0. Let y be ((7 - 4) + 6)*j. Find t, given that y*t**2 - 36/5*t + 66/5*t**3 - 12/5 - 63/5*t**4 = 0.
-2/3, -2/7, 1
Let b(a) be the third derivative of -a**7/231 + 7*a**6/660 + 13*a**5/55 + 17*a**4/33 - 40*a**3/33 - 61*a**2. Determine f so that b(f) = 0.
-2, 2/5, 5
Factor 1/4*d**5 + 23/4*d**3 + 0 + 7*d**2 + 3*d + 2*d**4.
d*(d + 1)*(d + 2)**2*(d + 3)/4
Let m(c) be the first derivative of -4*c**5/25 - 2*c**4/5 + 4*c**2/5 + 4*c/5 + 276. Solve m(t) = 0 for t.
-1, 1
Let g(u) be the second derivative of u**6/600 - u**5/60 + u**4/40 + 3*u**3/10 - u**2 + 5*u. Let p(m) be the first derivative of g(m). Factor p(n).
(n - 3)**2*(n + 1)/5
Suppose -24 = -6*y + 2*y. Suppose -y = -3*u + 6. Determine c, given that -29 + 29 - 8*c - u*c**2 = 0.
-2, 0
Factor -2440*u**3 - 4*u**2 + 2439*u**3 + 3*u**4 + u**5 + u**4.
u**2*(u - 1)*(u + 1)*(u + 4)
Suppose -432 + 405 = -9*b. Find f such that 0 + 3/2*f + b*f**4 - 9/2*f**3 + 0*f**2 = 0.
-1/2, 0, 1
Factor 3*t**2 + 150*t - 43*t - 162 + 63 - 37*t - 46*t.
3*(t - 3)*(t + 11)
Let b(g) = -g**2 + 3*g - 2. Let f(u) be the second derivative of u**4/12 - u**3/6 + 12*u. Let t(s) = b(s) + 6*f(s). Find w, given that t(w) = 0.
-2/5, 1
Let p(v) be the third derivative of v**8/1680 - v**7/315 - v**6/60 - v**4/6 + 6*v**2. Let o(m) be the second derivative of p(m). Find n such that o(n) = 0.
-1, 0, 3
Let v be 4*((-322)/(-28))/23. Factor 0*r + 3/8 - 3/8*r**v.
-3*(r - 1)*(r + 1)/8
Let f(d) be the first derivative of d**4/36 + d**3/18 - 13*d - 16. Let z(g) be the first derivative of f(g). Factor z(r).
r*(r + 1)/3
Suppose 0*k = 4*o + 5*k - 20, -4*o - 2*k + 8 = 0. Let y(v) be the third derivative of v**3 + o*v + 1/20*v**5 + 0 - 2*v**2 - 3/8*v**4. Factor y(h).
3*(h - 2)*(h - 1)
Suppose 9*j - 1146 = -1128. Find d such that -125/2 - 25*d - 5/2*d**j = 0.
-5
Let u(n) = 71*n + 2. Let f be u(2). Suppose 6*r - 5*r - f = 0. Determine z, given that 129*z**2 - r*z - 6 + 22 + 195*z**2 = 0.
2/9
Let g(m) be the first derivative of -4 + 12*m + 3*m**2 + 3/16*m**4 - 7/4*m**3. What is t in g(t) = 0?
-1, 4
Suppose 4*y + 17 = 5*y. Let u = -13 + y. Factor -12 + 8*j + 20 - 4 + u*j**2.
4*(j + 1)**2
Let j be 3/2 + (-91)/78. Suppose 0 = -9*x + 8*x + 2. Find n, given that 0 + j*n + 1/3*n**x = 0.
-1, 0
Let k be -1*(3 - 10 - -3 - -2). Let h be (6/4)/((-4)/(-8)). Find p, given that 24 + 4*p**k + 4*p**2 + 10*p**2 - h*p**3 - 36*p = 0.
2
Let x be ((-15)/(-35))/((-81)/(-882)). Suppose -8/15 - 8/15*f + x*f**2 = 0. Calculate f.
-2/7, 2/5
Suppose -70*g + 28 + 112 = 0. Let 0 + 3/2*u - u**g - 1/2*u**3 = 0. Calculate u.
-3, 0, 1
Factor 12/13 - 14/13*f + 2/13*f**2.
2*(f - 6)*(f - 1)/13
Let q(k) be the first derivative of k**4/6 - k**3 + 2*k**2 - 11*k - 5. Let j(x) be the first derivative of q(x). Factor j(u).
2*(u - 2)*(u - 1)
Let n(x) be the third derivative of x**8