i be 3/(-2)*(28/(-12) + 1). Determine a, given that 16*a**3 - i*a - 7*a**5 - 12*a**3 + 5*a**5 = 0.
-1, 0, 1
Factor -6*h**3 - 3*h**4 + 11*h + 13*h**3 + 9*h**2 - 19*h**3 + 24 + 28*h + 3*h.
-3*(h - 2)*(h + 1)**2*(h + 4)
Suppose -y - 4*y + 15 = 0. Let h(j) = j**2 - 4*j + 4. Let m be h(y). Suppose -4*a**2 - 3/2*a**3 - 7/2*a - m = 0. Calculate a.
-1, -2/3
Let k(t) = -6*t**2 + 374*t + 400. Let b(c) = -2*c**2 + 125*c + 133. Let g(m) = 10*b(m) - 3*k(m). Factor g(h).
-2*(h - 65)*(h + 1)
Let y be 3/(-6) + (-7)/(-2). Let n = -50 - -54. Factor 4*p**n + 18*p**y - 42*p**3 + 20*p**3.
4*p**3*(p - 1)
Let h(l) be the second derivative of l**5/150 + l**4/30 + 132*l. Factor h(z).
2*z**2*(z + 3)/15
Let k(w) be the second derivative of w**5/30 - 53*w**4/18 + 272*w**3/3 - 960*w**2 - 737*w. Determine i, given that k(i) = 0.
5, 24
Factor -89 + x**4 + 8*x**3 + 0*x**3 + 6*x**2 + 8*x + 82 - 16*x.
(x - 1)*(x + 1)**2*(x + 7)
Let b(m) = -m**2 + 11*m + 16. Let g(y) = -y**2 + 11*y + 18. Let p(h) = 4*b(h) - 5*g(h). Factor p(n).
(n - 13)*(n + 2)
Let u(o) be the third derivative of o**6/3060 + o**5/170 - 2*o**3/3 - 19*o**2. Let h(p) be the first derivative of u(p). Factor h(m).
2*m*(m + 6)/17
Let g(z) be the third derivative of -13*z**2 + 0*z**3 - 3/140*z**7 - 1/40*z**5 - 3/80*z**6 + 0*z + 0*z**4 + 0 - 1/224*z**8. Let g(q) = 0. What is q?
-1, 0
Let f(l) = l**2 - l + 1. Let b(w) = -2*w**2 - 24*w - 36. Let g(z) = b(z) - 2*f(z). Let r(v) = -v + 1. Let t(u) = -g(u) - 2*r(u). Let t(o) = 0. What is o?
-3
Let t(y) = -5*y**3 - 8*y**2 - 45*y - 18. Let c(h) = -h**3 + 4*h**2 + 1. Let r(g) = 4*c(g) - t(g). Let r(o) = 0. What is o?
-22, -1
Let n = 34 - 29. Factor 25*z + 5*z**2 + n - 11 + 6.
5*z*(z + 5)
Solve 32/7*a**3 + 2/7*a**4 - 96/7 + 94/7*a**2 - 32/7*a = 0.
-12, -4, -1, 1
Let j = -847 + 17789/21. Let t(a) be the first derivative of j*a**3 + 1/7*a**2 + 0*a - 1/14*a**4 - 2 - 2/35*a**5. Factor t(o).
-2*o*(o - 1)*(o + 1)**2/7
Suppose -6*i + 4*y = -i - 16, 3*y = -i - 12. Factor -4/3*q**4 + i*q + q**3 + 0 + 1/3*q**2.
-q**2*(q - 1)*(4*q + 1)/3
Let u(r) be the first derivative of -r**6/18 + 103*r**5/15 - 650*r**4/3 - 2704*r**3/9 + 275. Factor u(z).
-z**2*(z - 52)**2*(z + 1)/3
Determine o, given that 1/5*o**5 + 31/5*o**3 + 128/5 - 142/5*o**2 + 14/5*o**4 - 32/5*o = 0.
-8, -1, 1, 2
Suppose g - 4*g - 6 = -4*m, -5 = 5*g - 5*m. Find k such that 21/8*k**4 - 39/8*k**3 + 3*k + 3/2 + 15/8*k**5 - 33/8*k**g = 0.
-2, -1, -2/5, 1
Let j(h) be the second derivative of -h**7/2520 + h**6/144 - h**5/20 - h**4/6 + 22*h. Let r(n) be the third derivative of j(n). Factor r(o).
-(o - 3)*(o - 2)
Let k(c) = 6*c**3 + 2*c**2 + 4. Let h(z) = -2*z**2 - 17*z - 2. Let u be h(-8). Let d(f) = -f**2 - f. Let s(m) = u*d(m) + k(m). Solve s(b) = 0 for b.
-1, 2/3, 1
Let o(f) = -f**3 + 7*f**2 - 3*f + 5. Let m be o(5). Suppose 4*z - m = -3*q, -4*z + 10*q = 5*q - 40. Find x such that 2 + 11*x - z*x - 4*x + x**2 = 0.
1, 2
Let o be 1*(12/(-27))/(90/(-81)). Let z(p) be the second derivative of 11*p + 1/30*p**4 - o*p**2 + 0 + 1/15*p**3. Solve z(x) = 0.
-2, 1
Suppose 25 = 13*g - 8*g. Let a = g - 0. Let -a*v**4 + v**3 + 4*v**4 - 4*v**3 + 3*v + v = 0. Calculate v.
-2, 0, 1
Let q = -1 - -1. Let 36*v**2 - 34*v**2 - v**4 - v**3 + q*v**4 = 0. Calculate v.
-2, 0, 1
Let t(q) be the third derivative of q**6/120 + q**5/30 - 7*q**4/24 + 2*q**3/3 + 2*q**2 + 194. Factor t(u).
(u - 1)**2*(u + 4)
Factor 15*u**2 + 1639*u**3 + 0*u**2 - 1644*u**3.
-5*u**2*(u - 3)
Let y(x) be the first derivative of x**6/90 - 5*x**5/54 + 11*x**4/54 - x**3/9 - 4*x**2 - 22. Let b(r) be the second derivative of y(r). Factor b(u).
2*(u - 3)*(u - 1)*(6*u - 1)/9
Let l(d) be the second derivative of d**6/10 + 39*d**5/20 + 21*d**4/4 - 13*d**3/2 - 33*d**2 - 207*d. Determine u so that l(u) = 0.
-11, -2, -1, 1
Let o(j) be the first derivative of j**6/21 - 8*j**5/35 - 6*j**4/7 - 4*j**3/21 + 11*j**2/7 + 12*j/7 - 129. Factor o(v).
2*(v - 6)*(v - 1)*(v + 1)**3/7
Let y be 17/(-5) - 18/(-45). Let m be (-99)/(-15) + 0 - y/(-5). What is q in -40/7*q + 40/7*q**3 - 50/7*q**4 + 8/7 + m*q**2 = 0?
-1, 2/5, 1
Let o be 10/(-8)*((-648)/(-180) + -4). Factor -o*h**2 - 1 - 9/4*h.
-(h + 4)*(2*h + 1)/4
Let v be ((-988)/3705)/(8/(-6)). Let -4/5*o**3 + 2/5*o**2 - 9/5 + 12/5*o - v*o**4 = 0. Calculate o.
-3, 1
Let j be 23/30 - (-6)/(-27)*3. Let d(y) be the second derivative of 0 - j*y**6 + 0*y**2 - 1/42*y**7 + 1/4*y**4 + 1/3*y**3 - 1/20*y**5 - 5*y. Factor d(z).
-z*(z - 1)*(z + 1)**2*(z + 2)
Let s(i) be the second derivative of i**6/6 - 9*i**5/4 - 55*i**4/12 + 15*i**3/2 + 25*i**2 + 10*i - 2. Factor s(w).
5*(w - 10)*(w - 1)*(w + 1)**2
Let r(o) = o**2 + 10*o - 11. Let j be r(-11). Suppose 0 = 3*c - 2*u, j*c - c - 5*u + 17 = 0. Find p such that 14*p + 4 + 13*p - 11*p + 12 + 4*p**c = 0.
-2
Let n(d) be the third derivative of 0*d**3 - 1/300*d**6 + 0*d**4 + 1/75*d**5 + 0 + 0*d + 3*d**2. Determine s, given that n(s) = 0.
0, 2
Suppose 0 = -3*z + 3*h + 9, -42 = -5*z + 2*h - 21. Let n(w) = w**3 - 6*w**2 + w - 4. Let g be n(6). Solve 8*q + z*q**2 - q**2 + g + 2 = 0.
-1
Suppose 4*i - 3*j + 9 = -51, -j = -4. Let v be (-6)/9 + (-23)/i - 1. Factor 1/2*z**3 + 0*z**2 - 1/2*z + v - 1/4*z**4.
-(z - 1)**3*(z + 1)/4
Let l = 9440 + -9438. Factor 0 + 3/5*k - 1/5*k**l.
-k*(k - 3)/5
Let s = -3334 - -3337. Suppose -3/2*i**2 + 3/2*i**s + 1/2*i + 0 - 1/2*i**4 = 0. What is i?
0, 1
Find q, given that q**3 - 16*q**2 - 413*q**4 - 21*q**3 + 409*q**4 = 0.
-4, -1, 0
Suppose 14*i - i**2 - 8*i - 4*i**2 + 6*i**2 = 0. What is i?
-6, 0
Let r = -8 + 12. Suppose 2*w - 6 = 5*o, 3*o - 2*o = 2*w - 6. Let -2 - r + w*m**2 - m - 2*m + 0*m = 0. What is m?
-1, 2
Suppose 3*p + 0 = 12. Let 1031 + 0*s**4 + 219 + 2*s**p - 18*s**3 - 1000*s + 300*s**2 - 22*s**3 = 0. Calculate s.
5
Factor 28 + 5 + 30*t - 448*t**2 + 445*t**2.
-3*(t - 11)*(t + 1)
Let a(l) be the first derivative of 16/5*l + 1/5*l**5 + 8/5*l**4 + 9 + 24/5*l**3 + 32/5*l**2. Solve a(y) = 0 for y.
-2, -2/5
Suppose -55*u - 26 = -39*u - 29*u. Find f such that 2/5*f**3 + 30*f - 50 - 6*f**u = 0.
5
Determine v so that 13*v - v**3 + 45*v**2 + 12 - 45*v**2 = 0.
-3, -1, 4
Let y(h) = h + 1. Let g be y(3). Factor -26*w**2 + 38 + g*w - 4*w**3 - 4*w**2 + 6*w**2 - 14.
-4*(w - 1)*(w + 1)*(w + 6)
Let n = 3 + -3. Let b(i) = -2*i**3 + 3*i**2 + n*i**2 - 2*i**2 - 4*i**2. Let l(z) = 2*z**3 + 4*z**2. Let o(v) = 6*b(v) + 5*l(v). Determine h so that o(h) = 0.
0, 1
Let w(t) be the first derivative of 0*t**4 + 29 + 0*t + 0*t**3 - 1/12*t**6 + 0*t**2 - 1/10*t**5. Factor w(m).
-m**4*(m + 1)/2
Let z be ((-12)/10)/(7 - (-1926)/(-225)). Factor 0 + 6/13*q**3 - 2/13*q**4 + z*q**2 - 2/13*q**5 + 4/13*q.
-2*q*(q - 2)*(q + 1)**3/13
Let m(h) = 4*h**2 - 3*h - 4. Let g be m(2). Let 32*d**2 + 4*d + 20*d**3 - g - 2 + 0 = 0. Calculate d.
-1, 2/5
Let u(c) be the third derivative of c**7/210 - c**6/120 - 5*c**5/12 + 25*c**4/24 - 362*c**2 - c. Suppose u(t) = 0. What is t?
-5, 0, 1, 5
Let c(t) = -18*t**2 + 230*t - 8. Let r(a) = -2*a**2 + a - 1. Let h(w) = -c(w) + 8*r(w). Factor h(u).
2*u*(u - 111)
Let o(s) = -s**3 + 7*s**2 - 5*s - 3. Let d be o(6). Let v(n) be the first derivative of -4/9*n**d - 2/3*n - 6 + 7/6*n**2 - 1/3*n**4. Factor v(u).
-(u + 2)*(2*u - 1)**2/3
Let m(l) = 28*l**2 - 2. Let d(z) = -z. Suppose 5*g = 2*t - 32, -2*t + 28 = -5*g + g. Let r be 2 - 10/t*3. Let w(x) = r*m(x) - 3*d(x). Factor w(p).
-3*(4*p + 1)*(7*p - 2)
Let s(l) be the first derivative of l**6/12 - 21*l**5/10 + 85*l**4/4 - 325*l**3/3 + 1125*l**2/4 - 625*l/2 - 63. Factor s(k).
(k - 5)**4*(k - 1)/2
Suppose 0 = 18*r - 13*r. Suppose -11 = -y - r*y. Factor -5*o**3 - o**5 - y*o + 11*o + 2*o**4 + 4*o**3.
-o**3*(o - 1)**2
Let z(n) be the second derivative of 0 + 0*n**3 + 1/42*n**4 + 12*n - 1/7*n**2. Factor z(p).
2*(p - 1)*(p + 1)/7
Let r(y) be the second derivative of y**4/96 + 7*y**3/48 + 3*y**2/8 - 427*y. Solve r(b) = 0.
-6, -1
Let p(t) be the second derivative of 0*t**4 + 0*t**3 + 0*t**2 - 33*t + 0 - 1/10*t**5. Factor p(r).
-2*r**3
Factor -735*h - 562*h - 3*h**3 - 165*h**2 - 1050*h + 526*h - 363*h + 2352.
-3*(h - 1)*(h + 28)**2
Let x = 23 + -14. Let k be (-2)/9 - (-29)/x. Factor -8*n**3 + 9*n**3 - 2*n + n**k.
2*n*(n - 1)*(n + 1)
Suppose -5*s = 211 - 226. Factor 2*v**4 + 2*v + 4*v**s + 4*v**2 + 2/5 + 2/5*v**5.
2*(v + 1)**5/5
Let h(x) = -2*x - 6. Let d(w) = w**2 + 5*w + 11. Let g