5*k**4 + q*k - 7*k**2 - 5*k**3.
5*k*(k - 1)**2*(k + 1)
Let n(d) = 2*d**2 + 2*d - 58. Let b be n(5). Factor 2*k + 14/5*k**b - 4/5.
2*(k + 1)*(7*k - 2)/5
Let u(h) = 4*h**3 - 5*h**2 - 5*h + 12. Let n(f) = 18*f**3 - 26*f**2 - 24*f + 60. Let v(c) = 3*n(c) - 14*u(c). Find y, given that v(y) = 0.
-3, -2, 1
Suppose -82*i**2 - 368*i + 36*i**3 - 88*i**2 - 160 + 14*i**3 = 0. Calculate i.
-4/5, 5
Let n be (-816)/(-1020)*20/14. Factor n*d**2 + 4/7 - 18/7*d.
2*(d - 2)*(4*d - 1)/7
Suppose 22*n - 4*n = 306. Suppose 5 = -6*p + n. Factor -1/5 - 1/5*h**p - 2/5*h.
-(h + 1)**2/5
Suppose 8*l + 43 = 115. Let p(b) be the first derivative of 0*b - l + 0*b**2 - 1/24*b**4 - 1/9*b**3. Suppose p(j) = 0. Calculate j.
-2, 0
Let n(i) be the first derivative of -i**5/10 + i**4/2 + 8*i**3 + 28*i**2 + 40*i + 138. Determine l so that n(l) = 0.
-2, 10
Let y = 14 - 10. Solve y*t**3 + 16*t - 32*t**2 + 42*t**2 - 26*t**2 = 0 for t.
0, 2
Factor 208/3*r**2 - 64*r + 0 + 4/3*r**4 - 64/3*r**3.
4*r*(r - 12)*(r - 2)**2/3
Let b(f) be the first derivative of -5*f**3 + 48*f**2 - 36*f - 30. Factor b(k).
-3*(k - 6)*(5*k - 2)
Solve 16/7*c - 2/7*c**2 - 8/7 + 2/7*c**4 - 10/7*c**3 + 2/7*c**5 = 0 for c.
-2, 1
Let h(t) be the second derivative of -2*t**6/5 - 234*t**5/5 - 4563*t**4/2 - 59319*t**3 - 6940323*t**2/8 + 726*t. Suppose h(l) = 0. What is l?
-39/2
Let f(s) be the third derivative of s**7/840 + s**6/90 + s**5/30 - 13*s**3/3 + 2*s**2. Let m(r) be the first derivative of f(r). Suppose m(p) = 0. Calculate p.
-2, 0
Let v be -3 - (-8 - (-4 + 1)). Let t(c) be the first derivative of v + c**3 + 0 + 40*c**2 - 41*c**2. Solve t(o) = 0.
0, 2/3
Let r(c) be the third derivative of -c**8/588 - 26*c**7/735 + 32*c**6/105 - 68*c**5/105 + 61*c**2 + 8. Factor r(f).
-4*f**2*(f - 2)**2*(f + 17)/7
Let f(k) = -64*k**2 - 144*k - 74. Let v(o) = -8 + 2 + 7. Let l(c) = -4*f(c) + 28*v(c). Find d such that l(d) = 0.
-9/8
Solve 24*z**2 + 12*z - 24*z**4 + 366*z**5 - 177*z**5 - 27*z**3 - 174*z**5 = 0 for z.
-1, -2/5, 0, 1, 2
Suppose -5*i - 7 = 3. Let a(n) = -2*n**3 + 3*n - 4. Let j(y) = -y**3 - y**2 + 3*y - 3. Suppose -3*r - 2 + 11 = 0. Let b(p) = i*a(p) + r*j(p). Factor b(z).
(z - 1)**3
Let j(v) be the third derivative of -11*v**8/2352 - v**7/35 - 3*v**6/70 + 2*v**5/105 + 132*v**2. Suppose j(x) = 0. Calculate x.
-2, 0, 2/11
Let z = 5 - -1. Suppose 0 = -10*v + 2*v + 24. Solve z*u**2 - 3*u**3 + 2*u - 3*u**2 - u**2 - v*u**2 = 0.
-1, 0, 2/3
Let b(i) be the third derivative of 0*i + 0 + 0*i**4 + 12*i**2 + 2*i**3 - 1/20*i**5. Solve b(q) = 0.
-2, 2
Let r = 9004 - 9002. Factor -147/4*t - 1/4*t**3 + 21/4*t**r + 343/4.
-(t - 7)**3/4
Factor -1/8*r**5 + 0 + 7/8*r**2 + 5/8*r**4 - 1/4*r - 9/8*r**3.
-r*(r - 2)*(r - 1)**3/8
Let b(m) be the second derivative of 1/14*m**7 + 1/5*m**6 + 0*m**2 - 55*m + 0 - 9/20*m**5 + 0*m**3 + 0*m**4. Find a, given that b(a) = 0.
-3, 0, 1
Determine a, given that -12/5*a**2 + 24/5*a + 32/5 - 4/5*a**3 = 0.
-4, -1, 2
Solve -56/5*q**4 - 40 + 56*q**3 + 4/5*q**5 + 116*q - 608/5*q**2 = 0 for q.
1, 2, 5
Let z(b) = -4*b + 56. Suppose -4*j - o = -5*o - 44, -4*o + 21 = j. Let t be z(j). Solve 2/3 - 4/9*y**2 - 2/9*y**t - 8/9*y + 8/9*y**3 = 0 for y.
-1, 1, 3
Suppose 349*v = 345*v + 32. Suppose 2*c = 5*z - 15, 2*c + 7*z = 2*z + 35. Determine s, given that -5*s**3 - 3*s**2 - 2*s**4 - c*s**3 - v*s - s**2 - 12*s**2 = 0.
-2, -1, 0
Let l be ((-50)/6 + -1)*(-1035)/30. Let g be (-92)/l - (-3)/(21/2). Determine z so that 7/4*z**4 - z**2 + 0*z - 3*z**3 + g = 0.
-2/7, 0, 2
Let d(k) = 418*k**2 + 29396*k + 686002. Let q(g) = g**3 - 417*g**2 - 29394*g - 686003. Let t(r) = -6*d(r) - 4*q(r). Determine v so that t(v) = 0.
-70
Let m = -21349/2 + 10454. Let z = 222 + m. Let 3/2*a**3 - 3 + 3*a**2 - z*a = 0. Calculate a.
-2, -1, 1
Let g(h) = -11*h**3 + 1. Let l be g(1). Let q = 10 + l. Solve j**2 - j**2 + 2*j**3 + q*j**2 = 0.
0
Let i(v) = -v**2 + 7*v + 4. Suppose 5*j + 2*n = -3*n + 20, 4*j - 40 = 4*n. Let g be i(j). Factor 4*c**3 - 8*c + 6*c - 2 + 5*c**5 - 7*c + 12*c**g - 10*c**2.
(c - 1)*(c + 1)**3*(5*c + 2)
Let q(j) be the first derivative of j**6/9 - 8*j**5/3 + 77*j**4/6 + 484*j**3/9 - 33. Determine h so that q(h) = 0.
-2, 0, 11
Suppose 0 = 10*x - 207 - 213 + 400. Solve 25/4*j**5 + 1 + 1/4*j**x - 41/4*j**3 + 4*j - 5/4*j**4 = 0 for j.
-1, -2/5, 1
Let l be ((-4)/6 - 0) + 8/12. Suppose -5*v + l = -0. Let 4/3*u - 6*u**3 - 10/3*u**2 + 14/3*u**5 + 10/3*u**4 + v = 0. What is u?
-1, 0, 2/7, 1
Let g = 112 - 114. Let x(f) = 3*f**2 + 2*f + 2. Let a(c) = -12*c**2 - 9*c - 9. Let w(i) = g*a(i) - 9*x(i). Factor w(l).
-3*l**2
Let d = -22590 + 22590. Suppose 0 - 1/2*g**3 + d*g**2 - 1/6*g**4 + 2/3*g = 0. Calculate g.
-2, 0, 1
Let k = -43 - -45. Factor 12*o**2 - 33*o - 5*o**2 - 10*o**k.
-3*o*(o + 11)
Let w(h) be the first derivative of h**6/120 + h**5/10 - 11*h**3/3 + 16. Let u(d) be the third derivative of w(d). Factor u(o).
3*o*(o + 4)
Let v be (72/(-16) + 4)*-12. Let p(k) be the first derivative of 18*k + 2/3*k**3 - v - 6*k**2. Find n, given that p(n) = 0.
3
Factor -176/13*b - 98/13*b**3 - 24/13 - 350/13*b**2.
-2*(b + 3)*(7*b + 2)**2/13
Let t be (-1 - (1 - 3))*5. Determine m, given that 6*m**3 - 16*m**3 + 5*m + t*m**3 = 0.
-1, 0, 1
Let p(i) = 2*i**2 + 7*i + 1. Let q be p(-4). Let -s**3 + 2*s**2 + 3*s**5 - s**5 - s**q - 2*s**4 = 0. Calculate s.
-1, 0, 1, 2
Let z(q) = -q**3 + 6*q**2 - 21. Let m be z(5). Let f(y) = y**2 + y. Let r be f(-1). Solve 0*a**3 - 3*a**4 + a**2 + m*a**4 + 2*a**3 + r*a**4 = 0.
-1, 0
Factor 0*g + 100/7 - 4/7*g**2.
-4*(g - 5)*(g + 5)/7
Let n(s) be the third derivative of -s**7/350 + 13*s**6/200 + 29*s**5/100 + 3*s**4/8 + 2*s**2 - 35*s. Factor n(z).
-3*z*(z - 15)*(z + 1)**2/5
Suppose -334*d + 337*d - 3*y - 9 = 0, 0 = 2*d + 3*y - 1. Factor s + 0 - 1/4*s**4 + 3/2*s**3 - 9/4*s**d.
-s*(s - 4)*(s - 1)**2/4
Suppose 4*x**2 + 2*x - x - 4*x**2 - 3*x**2 - 4*x = 0. What is x?
-1, 0
Let -6*u + 22204*u**5 + u - 31*u**3 - 28*u**4 + 21*u - 6*u**2 + 16*u**2 - 22207*u**5 = 0. Calculate u.
-8, -1, 0, 2/3
Determine i, given that -i - 18*i**4 - 30*i**3 + 0 + 23/2*i**2 = 0.
-2, 0, 1/6
Let y = -25 + 27. Suppose 0 = -y*s - s - 3*f + 33, -4*f = 2*s - 20. Suppose s*q**2 - 6*q**4 - 2*q**4 - 3*q**5 - q**4 = 0. What is q?
-2, 0, 1
Let i(a) be the first derivative of a**5/25 - a**4/5 + a**3/5 + 2*a**2/5 - 4*a/5 + 4. Factor i(y).
(y - 2)**2*(y - 1)*(y + 1)/5
Let v(k) = -k - 2. Let t be v(-5). Let l = -1499/116 + 382/29. Determine o so that -l*o**t + 0*o**2 + 0 + 1/4*o = 0.
-1, 0, 1
Suppose -6 = -2*n, 5*v = 607*n - 612*n + 35. Factor 9/8*g**3 - 3/8*g**v + 0 + 3/8*g - 9/8*g**2.
-3*g*(g - 1)**3/8
Factor 19*v**3 - 3528 + 1596*v - 1/2*v**4 - 529/2*v**2.
-(v - 12)**2*(v - 7)**2/2
Suppose -51 = -5*o + d - 2*d, 4*d + 46 = 5*o. Let k(s) = s**3 - 9*s**2 - 9*s - 10. Let h be k(o). Factor 147/4*l**4 + 3*l**2 + 0*l - 21*l**3 + h.
3*l**2*(7*l - 2)**2/4
Let i(k) be the first derivative of k**3 + 105*k**2/2 + 102*k + 106. Factor i(z).
3*(z + 1)*(z + 34)
Let t(y) = 13*y - 167. Let k be t(13). Find l, given that -20/7*l**k - 32/7*l + 16/7 = 0.
-2, 2/5
Let y(v) be the third derivative of v**7/105 + v**6/20 - 19*v**5/30 - v**4/4 + 6*v**3 + 134*v**2. Suppose y(b) = 0. What is b?
-6, -1, 1, 3
Suppose -12*m - 40 = -32*m. Let n(d) be the first derivative of 0*d - 2 - 19/5*d**5 - 2/3*d**6 - 27/4*d**4 + m*d**2 - 8/3*d**3. Solve n(h) = 0.
-2, -1, 0, 1/4
Let c(l) be the first derivative of -3*l**5/25 + 3*l**4/20 + 21*l**3/5 - 27*l**2/2 + 64. Factor c(o).
-3*o*(o - 3)**2*(o + 5)/5
Let c = 23 - 14. Let r = c + -6. Suppose 2 - 4*p + 2 + r*p**2 + 0*p - 2*p**2 = 0. Calculate p.
2
Suppose 10 = 4*l + l. Let u(q) be the first derivative of -2*q**3 - q**l + 2*q**2 - 4*q + 3*q**3 - 3*q**2 - 1. Solve u(o) = 0.
-2/3, 2
Let j(x) be the second derivative of -x**5/40 + 19*x**4/24 + x**3/12 - 19*x**2/4 + 591*x. Factor j(z).
-(z - 19)*(z - 1)*(z + 1)/2
Let t(s) = s**3 + 5*s**2 + 5*s + 6. Let f be t(-4). Determine z, given that -13*z + 4*z - 6 - 2*z**4 + 6*z**4 - z**4 + 9*z**3 + 3*z**f = 0.
-2, -1, 1
Let j = 1 - 3/4. Let v(c) = 3*c - 39. Let d be v(13). Let d + j*x**3 + 0*x - 1/4*x**2 = 0. Calculate x.
0, 1
Let t(q) be the first derivative of q**5/15 + 11*q**4/48 - q**3/12 - 2*q**2/3 + q/3 - 126. Solve t(w) = 0 for w.
-2, 1/4, 1
Let z = 15 - 18. Let k be (z + 4)*13 - -2. Factor 15 - k + 6*o**2 + 3*o + 3*o**3.