y) = -4*h(y) + 5*r(y). Suppose f(j) = 0. What is j?
-7, -2, 0
Suppose -4*o + 13 - 41 = -4*u, -o - 15 = -3*u. Suppose 9*p - u*p = 0. Factor -7*a**3 + p*a**3 + 8*a**4 - 5*a**4 + 4*a**3.
3*a**3*(a - 1)
Let v be (-354)/70 - (-8 + 3). Let g = v + 41/105. Let k + 2/3*k**2 + g = 0. What is k?
-1, -1/2
Suppose p = -4*t + 10, -233*p = 4*t - 230*p - 14. Factor 4/5*v**3 - 2/5*v**t + 0 - 2/5*v**4 + 0*v.
-2*v**2*(v - 1)**2/5
Let t(d) be the second derivative of -4*d**5/15 + 2*d**4/3 - 2*d**3/3 + d**2/3 + 12*d - 3. Suppose t(r) = 0. What is r?
1/2
Determine b, given that -3 - 19*b**4 - 16*b - 966*b**3 + 981*b**3 + 55*b**2 - 33 + b**5 = 0.
-1, 1, 2, 18
Let z be ((-4)/5)/((-2)/10). Suppose 3*f = 5*s - 58, -4*f - 6 - 34 = -z*s. Factor -160*n**2 + 150*n**2 - s*n**3 + 20*n + 12*n - 8.
-2*(n - 1)*(n + 2)*(7*n - 2)
Factor -80/3 - 2/3*b**4 - 82*b**2 + 86/3*b**3 + 242/3*b.
-2*(b - 40)*(b - 1)**3/3
Let o = -35589/4 + 254351/28. Let q = 187 - o. Factor 4/7*j + 0*j**2 - 2/7 - 4/7*j**3 + q*j**4.
2*(j - 1)**3*(j + 1)/7
Let b(s) be the third derivative of -s**7/504 + s**6/48 - s**4/24 + 4*s**2. Let y(f) be the second derivative of b(f). Factor y(l).
-5*l*(l - 3)
Suppose -17*g + 32 = -2. Let t(x) be the third derivative of 5*x**g + 0 + 0*x + 1/80*x**5 + 1/12*x**4 - 1/240*x**6 + 1/8*x**3. Determine m, given that t(m) = 0.
-1, -1/2, 3
Let o(s) be the third derivative of 0 - 18*s**2 + 0*s**3 - 1/240*s**6 - 1/60*s**5 - 1/48*s**4 + 0*s. Find h such that o(h) = 0.
-1, 0
Suppose 11 - 24 = -4*b + z, -4*z - 16 = 2*b. Let a(m) be the first derivative of 0*m**2 + 0*m + 1/22*m**4 - 2/33*m**3 + b. What is q in a(q) = 0?
0, 1
Let i be (-1)/((-5)/7) - 1. Suppose 3*n + 106 = 56*n. Factor i*b**n + 6/5*b**4 - 2/5*b**5 + 0 + 0*b - 6/5*b**3.
-2*b**2*(b - 1)**3/5
Let c(x) = 108*x + 111. Let q be c(-1). Suppose -5/2*v**q - 78*v - 36 + 29*v**2 = 0. Calculate v.
-2/5, 6
Let a be ((-15)/(-18))/(44/(-24) - -2). Let d(w) be the third derivative of 1/5*w**a - 4*w**2 - w**4 + 0*w + 0*w**3 + 0 - 1/70*w**7 + 1/20*w**6. Factor d(h).
-3*h*(h - 2)**2*(h + 2)
Suppose 4*m = 2 + 10. Suppose 13*t - 30 = 8*t. Suppose -u + 0*u**3 + 4*u - t*u**m + 3*u**3 = 0. Calculate u.
-1, 0, 1
Suppose o + 2*t + 6 = 3*o, -o + 2*t + 4 = 0. Factor -14*m**2 + 3*m**3 - 10*m - 26*m**o - 2*m - 15*m**3.
-4*m*(m + 3)*(3*m + 1)
Suppose 80 - 5 = 15*g. Let x(i) = 15*i - 1. Let y be x(5). Factor 2*v**3 - y*v**4 - 2*v**g + 74*v**4.
-2*v**3*(v - 1)*(v + 1)
Let t(f) = f**2 - 6*f - 10. Let v be t(-2). Let p(m) be the second derivative of -v*m**2 + 0 - 1/3*m**4 - 8/3*m**3 - m. Find n, given that p(n) = 0.
-3, -1
Let x(g) be the first derivative of g**4/4 - 8*g**3 - 230. Find y, given that x(y) = 0.
0, 24
Suppose 3/2*y + 7/4 - 1/4*y**2 = 0. Calculate y.
-1, 7
Suppose 240 - 220 = 10*o. Let f(u) be the second derivative of 1/30*u**6 + 0 - 1/5*u**5 + 1/2*u**4 + 1/2*u**o - 2/3*u**3 - 10*u. Let f(m) = 0. What is m?
1
Let r(u) = u**3 + 7*u**2 - 2*u - 7. Let n be r(-6). Factor -46 + 2*f - f**2 + 86 - n.
-(f - 1)**2
Let y(n) be the second derivative of 0 + 1/378*n**7 + 1/54*n**4 + 0*n**2 - 1/135*n**6 + n + 0*n**5 - 1/54*n**3. Find m, given that y(m) = 0.
-1, 0, 1
Let h = -9 - -44. Factor -34*l**2 + h*l**2 + 9 + 6*l + 0.
(l + 3)**2
Let z(n) = -6*n**3 + n**2 + 1. Let o(a) = 10*a**3 - 68*a**2 - 726*a - 2664. Let p(x) = -o(x) - 2*z(x). Let p(s) = 0. Calculate s.
-11
Let q(u) be the third derivative of u**6/240 + u**5/24 + u**4/12 + 184*u**2. Find c, given that q(c) = 0.
-4, -1, 0
Let r be 3 + 2648/(-26) + 6/(-39). Let w = 99 + r. Suppose -19/3*i**4 + 2/3*i - 7/3*i**5 + w - 1/3*i**2 - 5*i**3 = 0. What is i?
-1, 0, 2/7
Let x be ((-4 - -3) + 0)/(576/(-90) - -6). Factor 0 + 1/2*k**3 + 3*k + x*k**2.
k*(k + 2)*(k + 3)/2
Factor -9*q**3 + 9*q + 3/2*q**2 - 3/2.
-3*(q - 1)*(q + 1)*(6*q - 1)/2
Let t = 78 - 72. Factor 17 + 4*w**2 + t*w**3 - 24*w - 4 - 2*w**4 + 0*w + 3.
-2*(w - 2)**2*(w - 1)*(w + 2)
Find z such that -24/5 - 12/5*z + 6/5*z**2 + 3/5*z**3 = 0.
-2, 2
Let y(z) = 5*z**2 + 2012*z + 194039. Let g(n) = -70*n**2 - 28175*n - 2716545. Let c(v) = -6*g(v) - 85*y(v). Factor c(p).
-5*(p + 197)**2
Let u be 2/8 - (-63)/4. Suppose -46*j = -62*j. Solve 13*b**2 + b**3 + 4 + j - u*b**2 = 0.
-1, 2
Let m(h) = 8*h**2 - 2*h. Let d(y) be the first derivative of -5 + 7/3*y**3 - y**2 + 0*y. Let a(u) = -6*d(u) + 5*m(u). Factor a(c).
-2*c*(c - 1)
Let q(i) = 3*i**3 - 9*i**2 + 2*i - 4. Let j be 1*((-2)/3 - (-1)/(-3)). Let f(p) = -p - 1. Let c(t) = j*q(t) + 4*f(t). Factor c(s).
-3*s*(s - 2)*(s - 1)
Let z(b) = 15*b**3 - 7*b**2 + 9*b + 3. Let l(y) = -12*y**3 + 8*y**2 - 8*y - 3. Let j(o) = 4*l(o) + 3*z(o). Find t, given that j(t) = 0.
-1/3, 1, 3
Let q(c) = c**3 - 8*c**2 + 12*c + 1. Let k be q(6). Let b(u) be the first derivative of 2/7*u**2 - 2/7*u - 2/21*u**3 - k. Factor b(s).
-2*(s - 1)**2/7
Let w(p) = 4*p**5 - 2*p**4 - 4*p**2 + 5*p + 3. Let o(v) = -5*v**5 + v**4 + 3*v**3 + 3*v**2 - 6*v - 4. Let g(n) = -3*o(n) - 4*w(n). Factor g(l).
-l*(l - 2)*(l - 1)**3
Let b = 38 - 73. Let x = b + 51. Suppose -16 - 9*c - x*c + 7*c - 11 - 3*c**2 = 0. Calculate c.
-3
Let t(k) be the first derivative of -k**5/390 + 2*k**4/39 - 16*k**3/39 + 15*k**2/2 + 11. Let v(g) be the second derivative of t(g). Factor v(z).
-2*(z - 4)**2/13
Let p be ((-3)/(-9)*1)/((-14)/9594). Let h = p + 229. Determine a, given that -18/7*a + h + 8/7*a**2 = 0.
1/4, 2
Factor 4 + k - k**3 + 5*k**2 + 2*k - 9*k - 2*k.
-(k - 2)**2*(k - 1)
Let q(b) = -b + 3. Let l(t) = t**3 - 3*t**2. Let y be l(0). Let v be q(y). Factor -2*n**v - 2/3*n**2 + 2*n + 2/3.
-2*(n - 1)*(n + 1)*(3*n + 1)/3
Let z be ((792/15)/(-6))/((-1)/35). Let d = -1538/5 + z. What is r in d*r**2 - 12/5*r + 18/5 = 0?
3
Suppose -2*s = 2*s + 20. Let j = s + 8. Factor -7*p**3 + 8*p**j - 5*p**2 + 3*p**2.
p**2*(p - 2)
Let b(l) = -2*l**2 + 2. Let j(p) = 15*p**2 + 69*p + 114. Let a(o) = -6*b(o) - j(o). Factor a(g).
-3*(g + 2)*(g + 21)
Let r(w) be the third derivative of 3*w**8/112 + 2*w**7/35 + w**6/30 + 487*w**2. Find a such that r(a) = 0.
-2/3, 0
Find i such that 0 - 80/11*i - 326/11*i**2 + 8/11*i**4 - 2*i**3 = 0.
-5, -1/4, 0, 8
Let -5/3 - 7/6*o + 1/2*o**3 + 7/3*o**2 = 0. Calculate o.
-5, -2/3, 1
Let y(v) be the third derivative of v**5/180 + 11*v**4/36 + 121*v**3/18 + 5*v**2 + 4*v. Factor y(s).
(s + 11)**2/3
Suppose -3*q + 12 = 3*c, -2*q = 5*c - 114 + 103. Solve 0 + 0*m**2 - 3*m + 9/4*m**q - 3/4*m**4 = 0 for m.
-1, 0, 2
Suppose 0 = 2*v - 5*x - 4, 67*v - x + 4 = 69*v. Let t(l) be the first derivative of 6 - 1/2*l**4 + 0*l**v + 0*l + 2*l**3. Factor t(a).
-2*a**2*(a - 3)
Factor -14*a - 95*a**2 + 60 + 27*a + 8*a - 60*a**3 + 4*a.
-5*(a + 1)*(3*a + 4)*(4*a - 3)
Let m = -10/147 + 73/147. Find i, given that 1/7*i**4 + 1/7*i**3 - 1/7*i + 2/7 - m*i**2 = 0.
-2, -1, 1
Let o(w) be the third derivative of w**8/1512 + 2*w**7/315 + 11*w**6/540 + w**5/45 + 17*w**2 + 2. Suppose o(y) = 0. Calculate y.
-3, -2, -1, 0
Let y(b) be the first derivative of b**7/1260 + b**6/45 + 4*b**5/15 + 16*b**4/9 - 4*b**3 - 13. Let w(z) be the third derivative of y(z). Factor w(q).
2*(q + 4)**3/3
Let f(p) be the first derivative of p**4/4 - 3*p**3/2 + 3*p**2 + 8*p + 1. Let k(u) be the first derivative of f(u). Determine m so that k(m) = 0.
1, 2
Let c = -45 - -47. Solve -19*i**2 + 16*i + 47*i**2 + 4*i**4 + 4*i**c + 20*i**3 = 0 for i.
-2, -1, 0
Let c(g) be the third derivative of 1/20*g**5 - 10*g**2 + 0 - 3/8*g**4 + 0*g - 2*g**3. Factor c(x).
3*(x - 4)*(x + 1)
Let j be 4/(-10) + 812/280. Let t(q) be the second derivative of -j*q**3 + 0 - q - 3/20*q**5 - 3*q**2 - q**4. Factor t(l).
-3*(l + 1)**2*(l + 2)
Let v = 27 + -24. Let i be 10/8 - 312/(-416). Find l such that 9*l**i - 27/4*l - 3*l**v + 0 = 0.
0, 3/2
Solve 218/7*n + 216/7 + 2/7*n**2 = 0.
-108, -1
Let f(q) = -155*q**2 + 65*q - 45. Let g(r) be the first derivative of 7*r**3/3 - 3*r**2/2 + 2*r + 25. Let v(c) = 2*f(c) + 45*g(c). Factor v(u).
5*u*(u - 1)
Let u(x) = -9*x**5 + 25*x**4 + 34*x**3 - 14*x**2 - 7*x. Let d(t) = 3*t**5 - 8*t**4 - 11*t**3 + 4*t**2 + 2*t. Let j(i) = 7*d(i) + 2*u(i). Factor j(g).
3*g**3*(g - 3)*(g + 1)
Let y = -5/27 + 89/27. Let h = 10/3 - y. Let 0*q - h + 2/3*q**2 + 4/9*q**3 = 0. What is q?
-1, 1/2
Let r(c) = -c**3 - 15*c**2 - 12*c - 6. Let t(w) = 2*w**3 + 45*w**2 + 34*w + 17. Let n(k) = -17*r(k) - 6*t(k). Suppose n(u) = 0. Calculate u.
0, 3
Let 