et f be (-2)/(-1) - (d - 3). Factor 7*x + 3 + 5*x + 3*x**4 + 9*x**3 + f*x**3 + 3*x**3 + 18*x**2.
3*(x + 1)**4
Suppose -p + 3 = o, 0 = 3*o - 3*p - p - 2. Suppose -j + 4*k - 4 = 0, k + 0*k = j - o. Find s, given that 6*s**2 + 2*s**j - 11*s**4 - s**3 - 2*s**3 = 0.
-1, 0, 2/3
Let p(z) be the second derivative of -37*z + 2/105*z**6 + 0*z**3 + 0*z**2 + 1/14*z**5 + 0 + 1/21*z**4. Factor p(a).
2*a**2*(a + 2)*(2*a + 1)/7
Let q = -658/9 + 661/9. Let a(f) be the second derivative of -q*f**3 - 3/4*f**2 - 9*f + 0 - 1/24*f**4. Find b such that a(b) = 0.
-3, -1
Let d(o) be the third derivative of -o**5/60 - 5*o**4/24 + o**3/2 - o**2. Let u be d(-5). Find g, given that 2/5*g**u + 0 + 6/5*g**2 + 4/5*g = 0.
-2, -1, 0
Let j be ((-15)/(-35))/((-2)/(-14)). Determine a, given that -5 - 15*a**2 - j*a + 11*a**3 + 18*a - 6*a**3 = 0.
1
Suppose -7*o + 5 = -6*o. Let w(r) = 10*r**4 + 5*r**2. Let v(j) = -j**5 + 10*j**4 + 6*j**2. Let k(h) = o*v(h) - 6*w(h). Factor k(i).
-5*i**4*(i + 2)
Let s(w) be the second derivative of -w**4/3 - 4*w**3/3 + 30*w**2 - 172*w. Let s(c) = 0. What is c?
-5, 3
Solve 106*p**3 - 4*p**4 + 120*p**2 - 796*p**2 - 210*p**3 = 0.
-13, 0
Let z(a) be the first derivative of -29 + 0*a + 16/63*a**3 + 2/15*a**5 + 19/42*a**4 - 4/21*a**2. Suppose z(v) = 0. What is v?
-2, -1, 0, 2/7
Factor 1/4*j**2 + 3/4*j - 1.
(j - 1)*(j + 4)/4
Let l(c) be the first derivative of 6/7*c + 17 - 1/7*c**4 - 8/21*c**3 + 2/7*c**2 + 2/35*c**5. Solve l(q) = 0 for q.
-1, 1, 3
Factor -12*a - 3*a**2 + 18 + a**2 + 5*a + 4*a - a**2.
-3*(a - 2)*(a + 3)
Let b(a) = -10*a**2 + 30*a - 14. Let y(x) = 11*x**2 - 59*x + 5*x**2 + 3*x**2 + 29. Let s(l) = 11*b(l) + 6*y(l). Find d such that s(d) = 0.
1, 5
Let a(q) be the first derivative of 8/9*q - 2/45*q**5 - 36 + 5/18*q**4 - 2/9*q**3 - 5/9*q**2. Find j such that a(j) = 0.
-1, 1, 4
Factor 69*x**2 - x**4 - 2*x**4 - 69*x**2 + 3*x**3.
-3*x**3*(x - 1)
Let y(z) = -4*z**3 - 2*z**2 + 3*z + 1. Let n(g) = 3*g**3 + g**2 - 3*g - 1. Let w = 163 + -168. Let d(s) = w*n(s) - 4*y(s). Find i such that d(i) = 0.
-1
Let u(j) be the third derivative of j**5/420 - 11*j**4/168 + 4*j**2 + 16. Factor u(l).
l*(l - 11)/7
Let l = 466 - 466. Let 0 + i**2 - 1/2*i**4 - 1/2*i**3 + l*i = 0. What is i?
-2, 0, 1
Let h(x) be the first derivative of -x**6/60 + 7*x**5/30 - x**4/2 - 29*x**2/2 + 37. Let j(w) be the second derivative of h(w). Solve j(b) = 0.
0, 1, 6
Let w(b) be the first derivative of b**6/33 + 2*b**5/55 - b**4/11 + 109. Suppose w(x) = 0. Calculate x.
-2, 0, 1
Let y = 390 - 386. Let w(u) be the first derivative of -3/2*u**2 + 6 - 5*u**3 + 3*u - 9/4*u**y. Factor w(x).
-3*(x + 1)**2*(3*x - 1)
Let d = -993 + 995. Let v(n) be the first derivative of 5/2*n**2 - 1/4*n**4 - 1/5*n**5 + d*n - 3 + n**3. Suppose v(g) = 0. Calculate g.
-1, 2
Suppose 0 = -j + 3, 23*j = 5*k + 18*j + 5. Let h(z) be the first derivative of 1/10*z**5 + 2/3*z**3 - 15/32*z**4 - 1/4*z + 7 - 3/16*z**k. Factor h(u).
(u - 2)*(u - 1)**2*(4*u + 1)/8
Let q(t) = 4*t**3 + 10*t**2 - 6*t - 4. Let m(u) = -u**4 + u**3 - 2. Let v(p) = -4*m(p) - 2*q(p). Factor v(c).
4*(c - 4)*(c - 1)*(c + 1)**2
Factor -28 + 71 - 42*v**3 - 200*v - 240*v**2 - 43 - 2*v**4.
-2*v*(v + 1)*(v + 10)**2
Let l be 0/3 - -5 - 1. Solve 12*b**3 + 4*b**2 + 6*b**l - 5*b**4 - 16*b**3 = 0 for b.
0, 2
Let i = 174089/5 - 34188. Let p = 633 - i. Factor p*v**2 + 28/5*v - 8/5.
4*(v + 2)*(4*v - 1)/5
Let g be (3 + (-122)/42)*66/44. What is j in -g*j**3 + 0*j**2 + 1/7*j + 0 = 0?
-1, 0, 1
Let -16*j + 65*j**2 + 43*j**2 - 8 + 64*j + 16*j**4 + 10*j**2 + 78*j**3 = 0. Calculate j.
-2, -1, 1/8
Suppose 0 = -0*f + 5*f + 25. Let m(n) = -6*n**2 - 60*n - 155. Let x(a) = -3*a**2 - 30*a - 78. Let v(b) = f*x(b) + 3*m(b). Factor v(z).
-3*(z + 5)**2
Let d(p) = 3*p**5 - 10*p**4 - 13*p**3 - 2*p + 2. Let y(w) = 8*w**5 - 30*w**4 - 38*w**3 - 7*w + 7. Let f(c) = 7*d(c) - 2*y(c). Find v such that f(v) = 0.
-1, 0, 3
Factor -196/9*z**2 - 256 - 832/3*z - 4/9*z**3.
-4*(z + 1)*(z + 24)**2/9
Suppose 4*k - 8 = 5*c, 0*c + 5*c - 10 = -5*k. Let v = 232 - 2086/9. Solve c - 2/9*m**2 + v*m = 0.
0, 1
Let p(i) = i**3 - 23*i**2 + 2. Let n be p(23). Factor 7 + 5*v - 9 + 3*v - 6*v**n.
-2*(v - 1)*(3*v - 1)
Let o be (12 + -14)*(-1 + 0). Factor -4*t**o - t**2 - 2 + 6*t - 13*t.
-(t + 1)*(5*t + 2)
Factor -24*k**2 + 27*k**2 - 544*k**3 + 543*k**3 + k**5 - 3*k**4.
k**2*(k - 3)*(k - 1)*(k + 1)
Let g(j) be the first derivative of -j**8/112 - 3*j**7/70 + j**5/5 + 15*j**2 - 16. Let p(l) be the second derivative of g(l). Determine c, given that p(c) = 0.
-2, 0, 1
Let s = 31 + -33. Let u be 27/(-117)*s/3. Solve 4/13 - 2/13*k**3 + u*k - 4/13*k**2 = 0 for k.
-2, -1, 1
Let n(c) be the first derivative of 5/7*c**2 + 0*c + 1 + 8/21*c**3 - 1/14*c**4. Determine k, given that n(k) = 0.
-1, 0, 5
Let g(l) be the third derivative of -49*l**5/15 - 7*l**4/2 - 3*l**3/2 - 44*l**2. Suppose g(k) = 0. Calculate k.
-3/14
Suppose -11*q = -12*q - 8. Let u be 0/((-3)/3) - 24/q. Factor 0 + 8/7*c**4 + 10/7*c**u + 0*c + 2/7*c**2.
2*c**2*(c + 1)*(4*c + 1)/7
Let s(o) be the second derivative of o**6/20 + 339*o**5/160 + 15*o**4/2 + 157*o**3/16 + 39*o**2/8 + 73*o. What is u in s(u) = 0?
-26, -1, -1/4
Let f(j) be the first derivative of -j**5 - 10*j**4 - 30*j**3 - 40*j**2 - 25*j - 286. Factor f(v).
-5*(v + 1)**3*(v + 5)
Let o(c) = -4*c**2 + 4*c - 1. Let g(m) = 4 - 1 + 9*m**2 - 69*m + 129*m - 69*m. Let s(a) = -6*g(a) - 14*o(a). Factor s(v).
2*(v - 2)*(v + 1)
Let m(i) = -5*i**4 - 3*i**3 - i**2 - 3*i - 3. Let n(r) = 4*r**4 + 2*r**3 + 2*r + 2. Let c(y) = 4*m(y) + 6*n(y). Suppose c(p) = 0. What is p?
-1, 0, 1
Let h(r) be the third derivative of 0 + 0*r + 1/12*r**5 + 4*r**2 + 0*r**3 - 5/8*r**4. Suppose h(s) = 0. Calculate s.
0, 3
Let j(m) = 3*m. Let s(o) = o**3 - 4*o**2 - 10*o + 4. Let a(g) = 3*j(g) + s(g). Factor a(u).
(u - 4)*(u - 1)*(u + 1)
Let p(o) be the third derivative of -7*o**2 + 0*o + 0 + 1/36*o**4 + 0*o**3 + 1/90*o**5 + 1/720*o**6. Factor p(t).
t*(t + 2)**2/6
Let t(h) = 11*h**2 + 163*h - 22. Let b be t(-15). Let n(a) be the second derivative of b*a + 2/3*a**2 + 1/3*a**3 + 0 + 1/18*a**4. Suppose n(i) = 0. What is i?
-2, -1
Let c(v) be the second derivative of 1/72*v**4 + 11*v + 0 + 0*v**3 + 0*v**2. Factor c(w).
w**2/6
Let m(x) be the third derivative of -x**6/300 - 7*x**5/150 + 2*x**4/15 - 3*x**2 + 27. Factor m(q).
-2*q*(q - 1)*(q + 8)/5
Suppose -2*w + 17 = -y - 6*w, -4*w - 29 = -3*y. Determine d, given that 3 - 2*d**y - 4*d**4 - 3 + 2*d**5 + 4*d**3 = 0.
0, 1
Factor -1/2*a**2 - 1/4*a**4 + 5/4*a**3 + 0 - 2*a.
-a*(a - 4)*(a - 2)*(a + 1)/4
Let o be (-28)/30*-1*(-4)/7. Let x = 14/15 + o. Factor 0*a - x*a**2 + 2/5.
-2*(a - 1)*(a + 1)/5
Let z(c) be the third derivative of 0*c + 0*c**3 + 1/126*c**4 - 1/1260*c**6 + 17*c**2 - 1/630*c**5 + 0. Factor z(b).
-2*b*(b - 1)*(b + 2)/21
Let b(p) be the first derivative of -3*p**4/32 + 7*p**3/4 + 51*p**2/16 - 45*p/4 - 198. Factor b(t).
-3*(t - 15)*(t - 1)*(t + 2)/8
Suppose 3*f = 7*x - 21, 15 = -5*f + 12*x - 7*x. Determine r so that -2/19*r**2 + 0*r + 2/19*r**4 + 0 + f*r**3 = 0.
-1, 0, 1
Let l(x) = -x**3 - 3*x - 2. Let v be ((-10)/4)/5*2. Let q be l(v). Solve -2*a**q + a**3 - 12 + a - 2*a**3 + 14 = 0 for a.
-2, -1, 1
Let m(q) = -2*q**3 - 16*q**2 + 17*q + 10. Let t be m(-9). Factor 2*y**3 - t*y**5 + 4*y**4 - 12*y**5 + 33*y**5.
2*y**3*(y + 1)**2
Let t(k) = 1 - k - 1 + 1. Let i be t(-2). Determine j so that -3*j - i*j - 3*j**2 - 3 + 0*j = 0.
-1
Let a(o) = o**5 + 8*o**4 + 43*o**3 + 52*o**2 + 2*o. Let z(y) = -y**5 - 4*y**4 - 21*y**3 - 26*y**2. Let d(x) = -4*a(x) - 7*z(x). Suppose d(v) = 0. Calculate v.
-1, -2/3, 0, 4
Suppose 8*u + 3*f = 3*u + 52, f = u - 12. Suppose 1 = 4*n - u. Find v such that -6*v + n*v - 89 + 87 - v**2 = 0.
-2, -1
Let -5 - 15/2*f - 5/2*f**2 = 0. Calculate f.
-2, -1
Let g(o) be the second derivative of -o**8/840 - o**7/84 - 7*o**6/180 - o**5/20 - 7*o**3/2 + 19*o. Let h(s) be the second derivative of g(s). Solve h(v) = 0.
-3, -1, 0
Let w(m) be the first derivative of 2*m**5/5 + m**4 - 4*m**3/3 - 3*m**2 - 9. Let h(f) = f**4 + 3*f**3 - 4*f**2 - 6*f. Let o(r) = -2*h(r) + 3*w(r). Factor o(n).
2*n*(n - 1)*(n + 1)*(2*n + 3)
Let d(q) be the first derivative of 4*q**5 + 8*q**4 - 12*q**3 - 16*q**2 + 16*q + 204. Suppose d(x) = 0. Calculate x.
-2, -1, 2/5, 1
Let r(m) be the second derivative of m**4/78 - 22*