/(-6). Suppose -u + 25 = a*u. Factor 15*p - 9*p**3 + 1 - p**2 + u - 14*p**2 + 3*p**2.
-3*(p - 1)*(p + 2)*(3*p + 1)
Let g(t) be the second derivative of 2*t**6/15 - t**5/5 - t**4/3 + 2*t**3/3 - 2*t - 37. Determine y, given that g(y) = 0.
-1, 0, 1
Let b(y) be the second derivative of y**4/18 - 4*y**2/3 + 66*y. Let b(x) = 0. What is x?
-2, 2
Suppose 3*a = 14 - 14. Let m(n) be the third derivative of -1/350*n**7 - 1/100*n**6 + 0*n**4 + a*n**3 + 0*n + 0 + 2*n**2 - 1/100*n**5. Factor m(y).
-3*y**2*(y + 1)**2/5
Suppose a + 2*c - 10 = 0, 4*a + 0*c = -2*c + 52. Let w(i) = i**3 - i**2. Let r(s) = 8*s**3 - 9*s**2. Let l(k) = a*w(k) - 2*r(k). Factor l(f).
-2*f**2*(f - 2)
Let p be -3*1/3*-7. Let t(z) = 5*z**2 + 11*z - 2. Let f(a) = 1468 + 6*a + a**2 + 2*a**2 - 1469. Let v(b) = p*f(b) - 4*t(b). Determine g, given that v(g) = 0.
1
Suppose 4*t - 9*t = 5. Let y be t + ((-7)/(-1) - 1). Factor 2*q - 9 + q**2 - y*q + 11.
(q - 2)*(q - 1)
Let z = 56 - 54. Let c(m) = 6*m**3 - 12*m**2 - 3*m. Let j(r) = 5*r**3 - 11*r**2 - 2*r. Let q(a) = z*c(a) - 3*j(a). What is y in q(y) = 0?
0, 3
Let r(m) = 29*m - 142. Let y be r(5). Solve -838/7*j**y - 40/7 - 390/7*j**4 - 288/7*j - 50/7*j**5 - 746/7*j**2 = 0.
-5, -1, -2/5
Let s(c) = c**2 + 6*c - 27. Let q(l) = 8*l + 95. Let v be q(-13). Let g be s(v). Factor k**2 - 5/2*k**3 - 1/2*k**5 + g + 0*k + 2*k**4.
-k**2*(k - 2)*(k - 1)**2/2
Let j(g) = 4*g**2 + 17*g + 16. Let d(m) = -3*m**2 - 16*m - 15. Let t(x) = 3*d(x) + 2*j(x). Factor t(l).
-(l + 1)*(l + 13)
Let a = -36047 - -180267/5. Factor -a*t + 6/5 + 2*t**2.
2*(t - 3)*(5*t - 1)/5
Let x be (-28)/(-8)*4/7. Suppose 2*c + x*c = 48. Factor 91*a + 3*a + 21*a + c + 17*a + 363*a**2.
3*(11*a + 2)**2
Let x(f) be the third derivative of -f**8/5040 + f**7/1890 + f**6/270 + f**4/12 + 10*f**2. Let d(b) be the second derivative of x(b). Factor d(z).
-4*z*(z - 2)*(z + 1)/3
Suppose 380/21*n**2 + 150/7*n**3 + 208/21*n**4 + 32/21*n**5 + 118/21*n + 4/7 = 0. Calculate n.
-3, -2, -1, -1/4
Let k(o) be the third derivative of 0 - 1/21*o**4 + 0*o - 3*o**2 - 1/420*o**6 - 2/105*o**5 + 0*o**3. Suppose k(s) = 0. What is s?
-2, 0
Let o = -203 + 205. Let s(x) be the second derivative of 1/12*x**3 - 1/16*x**5 + 0 + 0*x**o + 1/16*x**4 - 3*x. Factor s(z).
-z*(z - 1)*(5*z + 2)/4
Let c(n) be the third derivative of -n**7/2100 - n**6/900 + n**5/150 + n**3/3 + 11*n**2. Let a(x) be the first derivative of c(x). Factor a(w).
-2*w*(w - 1)*(w + 2)/5
Let r = -113/59 - -1381/413. Factor 8/7 + 2/7*n**2 - r*n.
2*(n - 4)*(n - 1)/7
Factor 27/7 + 3/7*i**2 - 18/7*i.
3*(i - 3)**2/7
Suppose 0 = -4*x + 2*c + 34, -22*x = -27*x + 3*c + 47. Find z, given that 35/3*z**2 + 5*z**x - 4/3*z**5 + 2*z + 16*z**3 + 0 = 0.
-1, -1/4, 0, 6
Let a be (-11)/((-264)/18) - 9/18. What is n in -1 - a*n**2 - 7/4*n**3 + 2*n + 5/4*n**4 - 1/4*n**5 = 0?
-1, 1, 2
Let g(i) be the third derivative of -i**6/90 + i**5/40 + i**4/24 - 2*i**3 - 5*i**2. Let s(d) be the first derivative of g(d). Factor s(w).
-(w - 1)*(4*w + 1)
Let b = -1629/5 + 327. Let w be (-4)/(-5) - (-1 - 1). Suppose 2*k**4 - w*k - 4/5 + 14/5*k**3 - b*k**2 = 0. Calculate k.
-1, -2/5, 1
Suppose 6*y = 7*y - 2. Let q - 5*q + 3 + 0 + 3*q**2 - y*q = 0. Calculate q.
1
Let m(b) = -10*b**2 + 43*b + 20. Let s be (7 - 1)/(0 - 15/(-5)). Let h(a) = -10*a**2 + 44*a + 20. Let q(v) = s*m(v) - 3*h(v). Solve q(r) = 0 for r.
-2/5, 5
Suppose 4*u = 2*w + u + 10, 8 = 2*u. Let p be 24/(-10) + (2 - w) + 2. Determine s, given that -3/5*s + 6/5*s**2 + 0 - p*s**3 = 0.
0, 1
Let p(s) be the second derivative of 2*s**6/15 + s**5 + 5*s**4/3 - 10*s**3/3 - 12*s**2 + 329*s. Solve p(f) = 0 for f.
-3, -2, -1, 1
Let y(u) = u**3 + 16*u**2 + 2*u + 28. Let k be y(-16). Let o be 6/(3/(-6*k/16)). Factor 0*q + 0*q**2 - 14/3*q**5 + q**4 + 2/3*q**o + 0.
-q**3*(2*q - 1)*(7*q + 2)/3
Let b(m) = -44*m**2 + 181*m - 20. Let f be b(4). Suppose -1/3*p**2 + f - 1/3*p**5 + 0*p + 1/3*p**4 + 1/3*p**3 = 0. What is p?
-1, 0, 1
Let w be -1 + (7 - 1 - 2). Let 2*t**4 + t**w + 0*t**3 - 5*t**3 + 2*t**2 = 0. What is t?
0, 1
Suppose 11*t - 5*t**2 + 45*t - 120 + 2*t + 10*t - 18*t = 0. What is t?
4, 6
Let z(c) be the second derivative of 0 + 4/3*c**3 - 5/12*c**4 - 2*c + 2*c**2. Determine r so that z(r) = 0.
-2/5, 2
Let z(b) be the third derivative of b**8/168 - 11*b**7/105 + 11*b**6/20 - b**5/6 - 25*b**4/6 - 145*b**2. Factor z(s).
2*s*(s - 5)**2*(s - 2)*(s + 1)
Factor 4/5*r**3 + 256/5*r**2 + 13 - 259/5*r.
(r + 65)*(2*r - 1)**2/5
Factor -2/5*l**3 + 172/5*l**2 - 338/5*l + 168/5.
-2*(l - 84)*(l - 1)**2/5
Let v(y) be the second derivative of 5*y**7/126 - y**6/45 - y**5/2 + 13*y**4/9 - 31*y**3/18 + y**2 + 12*y - 2. Factor v(i).
(i - 1)**3*(i + 3)*(5*i - 2)/3
Let h be 12/4 - (32/(-12))/8. Factor 2/3*w**3 + h*w**2 + 8/3*w + 0.
2*w*(w + 1)*(w + 4)/3
Let x(l) be the first derivative of l**4/4 + 11*l**3/3 + 31*l**2/2 + 21*l + 136. Factor x(k).
(k + 1)*(k + 3)*(k + 7)
Factor -5*o + 3*o + 14 - o**2 - 11*o.
-(o - 1)*(o + 14)
Let j(c) be the second derivative of c**5/70 + c**4/7 - 4*c**3/21 - 24*c**2/7 - c + 292. Let j(i) = 0. Calculate i.
-6, -2, 2
Let k(t) be the first derivative of 2*t - 1/6*t**4 - 3 - 1/6*t**2 + 2/9*t**3 + 1/15*t**5 - 1/90*t**6. Let n(c) be the first derivative of k(c). Factor n(l).
-(l - 1)**4/3
Let n(b) be the second derivative of 0 + 14*b - 1/60*b**5 + 0*b**2 - 1/9*b**3 + 1/12*b**4. Factor n(r).
-r*(r - 2)*(r - 1)/3
Suppose -20*q + 57 = -q. Determine u so that u**3 - 12*u - 7*u**2 + 6 + q*u**4 + 11*u - 2*u**4 = 0.
-3, -1, 1, 2
Let n(g) = g**2 - 1. Let k be (-7*(-5)/35)/(-1). Let q be n(k). Find p, given that -2/7*p**3 - 2/7*p**5 + 0 - 4/7*p**4 + 0*p + q*p**2 = 0.
-1, 0
Let z(s) be the first derivative of -s**7/84 - s**6/20 + 3*s**5/8 - 17*s**4/24 + s**3/2 - 10*s - 23. Let o(w) be the first derivative of z(w). Factor o(x).
-x*(x - 1)**3*(x + 6)/2
Let u(a) be the second derivative of -4/27*a**3 + 0 - 2/27*a**4 - 2*a + 1/135*a**6 + 1/90*a**5 + 0*a**2. Find c such that u(c) = 0.
-2, -1, 0, 2
Let x(z) be the second derivative of -10/3*z**4 + 6*z**3 - 4*z**2 + 6*z + 3/5*z**5 + 0. Factor x(v).
4*(v - 2)*(v - 1)*(3*v - 1)
Let t(b) be the third derivative of b**7/945 - b**6/540 - 17*b**5/270 + 7*b**4/36 + 4*b**3/3 + 5*b**2 + 19*b. Solve t(s) = 0.
-4, -1, 3
Suppose 116 = c - r, c + 14*r - 10*r = 136. Let w = c + -118. Solve -2*j**w + 0 + 2*j**4 + 4/7*j**3 - 4/7*j = 0 for j.
-1, -2/7, 0, 1
Let j be -6*(10/(-4))/(34 + -29). Factor 0*v + 4/3*v**5 + 0*v**2 + 0*v**j - 4/3*v**4 + 0.
4*v**4*(v - 1)/3
Let y(c) = c**2. Let l(r) = -r**3 + 9*r**2 + r - 3. Let v(s) = l(s) - 6*y(s). Solve v(j) = 0 for j.
-1, 1, 3
Factor -33*u - 1 - 1 - 941*u**3 + 30*u**2 + 2 + 944*u**3.
3*u*(u - 1)*(u + 11)
Let g(y) be the second derivative of y**6/30 + 11*y**5/10 + 14*y**4 + 245*y**3/3 + 343*y**2/2 + 490*y. Solve g(p) = 0 for p.
-7, -1
Let i = -153/2 - -341/4. Factor 5/4*w**2 + 15/2 + i*w.
5*(w + 1)*(w + 6)/4
Let i(n) be the second derivative of -n - 1/6*n**3 + 1/5*n**2 - 7/60*n**4 + 0. Let i(k) = 0. Calculate k.
-1, 2/7
Suppose 5*v - 7 = 3*m - 0*m, -3*v = 2*m - 8. Suppose 0 = 2*u - 3*u + v. Suppose 3*j**u + j**2 + 0*j**2 - j**2 = 0. What is j?
0
Let s = -250 + 254. Let m(i) be the first derivative of 4 + 0*i + 1/3*i**3 - 1/4*i**2 - 1/8*i**s. Factor m(f).
-f*(f - 1)**2/2
Find d, given that -2*d**5 - 21/2*d**4 + 0 + 10*d + 42*d**2 + 11/2*d**3 = 0.
-5, -2, -1/4, 0, 2
Let n(u) be the second derivative of -4*u**7/7 - 5*u**6/2 - 9*u**5/40 + 9*u**4/8 + 893*u. Solve n(c) = 0.
-3, -1/2, 0, 3/8
Let b(y) be the second derivative of 3*y**5/20 + y**4/24 - 4*y**3/3 - 11*y**2/4 - 93*y. Let b(w) = 0. What is w?
-1, 11/6
Suppose -20/9*n - 2/9*n**4 + 4/3*n**3 + 0 - 2/3*n**2 = 0. What is n?
-1, 0, 2, 5
Factor -93/8*y**2 - 177/8*y - 87/8 - 3/8*y**3.
-3*(y + 1)**2*(y + 29)/8
Let p(l) be the second derivative of l**7/63 - 4*l**6/225 - 8*l**5/75 + 11*l**4/45 - l**3/9 - 2*l**2/15 - 2*l - 202. Let p(k) = 0. Calculate k.
-2, -1/5, 1
Let g(u) be the third derivative of 0*u - 13/40*u**5 + 3/8*u**6 + 19*u**2 - 5/4*u**4 - u**3 + 0 - 9/140*u**7. What is p in g(p) = 0?
-1/3, 2
Let o(u) be the second derivative of u**4/8 - 3*u**3/4 + 3*u**2/2 + 4*u + 84. Find t, given that o(t) = 0.
1, 2
Let s be ((-39)/(-8))/(-3)*(-832)/104. Let 4/3 + s*d**3 - 17/3*d**2 - 14/3*d**4 - 4*d = 0. Calculate d.
-1/2, 2/7, 1, 2
Suppose -5 = -3*k