hat is k?
-2, -1/5, 0, 1
Let f be 6 + 8/(400/(-290)). Let p(a) be the third derivative of -f*a**3 + 9*a**2 + 0 + 3/40*a**4 + 0*a + 0*a**5 - 1/200*a**6. Factor p(b).
-3*(b - 1)**2*(b + 2)/5
Let c(d) = 15*d**2 - 144*d - 447. Let g(f) = -f - 1. Let p(o) = o**2 - 6*o - 25. Let s(b) = -3*g(b) - p(b). Let q(n) = 2*c(n) + 33*s(n). Factor q(z).
-3*(z - 5)*(z + 2)
Let s = 29 - 37. Let u be (-4 + 4)/(s/(-4)). Factor -5/2*d**4 + u - 2*d**2 + 13/2*d**3 - 2*d.
-d*(d - 2)*(d - 1)*(5*d + 2)/2
Factor -2/9*w**3 + 2/9*w**2 + 2/9*w - 2/9.
-2*(w - 1)**2*(w + 1)/9
Suppose -k - 4*o - 34286 = 0, 0*k = 2*k - 2*o + 68572. Let p = k + 172198/5. What is w in -288/5*w**2 - 48/5*w**3 - 3/5*w**4 - p*w - 768/5 = 0?
-4
Let l(s) be the first derivative of -s**3/15 - s**2/5 + 3*s/5 + 145. What is m in l(m) = 0?
-3, 1
Let z = -12329 - -12329. Determine q so that 0*q**3 - 4/15*q**2 + z + 4/15*q**4 - 2/15*q**5 + 2/15*q = 0.
-1, 0, 1
Let f = 28838/7 + -29774/7. Let z = f - -134. Factor z*p**5 + 2/7*p**3 + 0*p**2 + 0*p + 4/7*p**4 + 0.
2*p**3*(p + 1)**2/7
Let b(q) be the first derivative of 2*q**5/45 + 7*q**4/18 - 2*q**3/27 - 7*q**2/9 + 379. Factor b(l).
2*l*(l - 1)*(l + 1)*(l + 7)/9
Let w(v) be the third derivative of v**6/1080 + 49*v**5/540 + 575*v**4/216 - 625*v**3/54 + 95*v**2. Factor w(u).
(u - 1)*(u + 25)**2/9
Let r(y) = -60*y**3 + 36*y**2 - 2*y + 27. Let l(k) = k**3 - k - 1. Let w(b) = 6*l(b) + r(b). Let q(g) be the first derivative of w(g). Solve q(f) = 0.
2/9
Let w be (12/8 + -3)*(-26)/13. Factor -4/7*u**5 - 4/7*u + 0*u**2 + 8/7*u**w + 0*u**4 + 0.
-4*u*(u - 1)**2*(u + 1)**2/7
Factor -70*n - 160 + 42*n**2 - 47*n**2 - 112 + 47.
-5*(n + 5)*(n + 9)
Let h(d) = -36*d**3 - 45*d**2 - 9*d + 21. Let g(t) be the first derivative of 7*t**4/4 + 3*t**3 + t**2 - 4*t - 9. Let n(x) = -21*g(x) - 4*h(x). Factor n(o).
-3*o*(o + 1)*(o + 2)
Let t(h) = -h**4 + h**3 + h - 1. Let s be (-5)/(-10)*(-2 + 8). Let a(j) = 18*j**4 + 7*j**3 - 35*j**2 + 7*j + 3. Let w(k) = s*t(k) + a(k). Factor w(q).
5*q*(q - 1)*(q + 2)*(3*q - 1)
Let y(f) be the second derivative of -5*f**4/12 + 220*f**3/3 - 4840*f**2 + 319*f. Factor y(d).
-5*(d - 44)**2
Let y be (((-21)/(-10))/7)/(78/312). Factor -y + 3/5*n**2 - 3/5*n.
3*(n - 2)*(n + 1)/5
Factor -o**2 + 20*o + 5*o - 12*o + 1 + 46 + 33*o.
-(o - 47)*(o + 1)
Suppose 3*q + 0*q - 150 = 0. Let s = 122 - q. Suppose 3*y**5 + 1056*y**2 - 41*y**4 + s*y**4 + 336*y**3 + 768 + 20*y**4 + 1536*y = 0. Calculate y.
-4, -1
Let i = -44 - -123. Let o = i + -315/4. Factor -o*f**3 + 1/4*f**2 + 0 - 1/4*f**4 + 1/4*f.
-f*(f - 1)*(f + 1)**2/4
Let j(n) be the first derivative of -1/420*n**5 + 0*n + 1/1260*n**6 + 7 + 0*n**4 - 7/3*n**3 + 0*n**2. Let a(d) be the third derivative of j(d). Factor a(o).
2*o*(o - 1)/7
Let d = -107 - -119. Determine q so that 0*q**5 + 3*q**4 + 8*q + 25*q**2 - 7*q**4 - 4*q**5 - 5*q**2 + d*q**3 = 0.
-1, 0, 2
Determine n so that 18*n + 105/4*n**2 + 3 = 0.
-2/5, -2/7
Let a = 152008/5 - 30259. Let b = 143 - a. Factor 0 - 3/5*x**4 + 1/5*x**2 - b*x + 4/5*x**3.
-x*(x - 1)**2*(3*x + 2)/5
Let u(r) be the third derivative of r**6/16 + 13*r**5/40 - 9*r**4/16 - 9*r**3/4 + 16*r**2. Solve u(l) = 0.
-3, -3/5, 1
Suppose -p + 3*u + 2 = 3, p = -3*u - 31. Let a be (-40)/p*28/30. Find q, given that -5*q**2 - a*q - 3*q**3 - 1/3 = 0.
-1, -1/3
Suppose -6*r + r - 3*c + 45 = 0, 2*r - 5*c - 18 = 0. Factor 7*x - 14*x**2 + 45 - 13 + r*x + 2*x**3.
2*(x - 4)**2*(x + 1)
Let i be (-29)/(-9) + (-4)/18. Suppose 4*y = 16 - 0. Find f such that -3/2*f**2 + 6*f**i - 7/2*f**y - f + 0 = 0.
-2/7, 0, 1
Let r = -40/21 - -18/7. Let a(i) = 2*i**2 - 33*i + 18. Let c be a(16). Let r*s + 2/3*s**c + 0 = 0. Calculate s.
-1, 0
Let o(k) be the first derivative of -k**8/336 + 3*k**2 - 7. Let a(l) be the second derivative of o(l). Factor a(c).
-c**5
Let r(c) be the third derivative of -c**8/672 + c**7/105 + c**6/80 - 7*c**5/60 + c**4/6 - 175*c**2. Solve r(x) = 0 for x.
-2, 0, 1, 4
Let i(z) = -36*z**3 + z**2 + 2*z + 1. Let d be i(-1). Suppose d = -0*g + 3*g. Factor g*o + 3 - 4*o - 6*o + 3*o**2 - 8*o.
3*(o - 1)**2
Suppose 2*z - 8 = -2*z. Let l be (6/10)/(z/10). Factor -3*f**l - 2*f**2 + 5*f**4 + f**3 + 2*f**5 - 3*f**4.
2*f**2*(f - 1)*(f + 1)**2
Solve 395*a + 110 - 3663*a**2 - 3675*a**2 + 7373*a**2 = 0 for a.
-11, -2/7
Let x(n) be the first derivative of -n**6/18 - 43*n**5/45 - 17*n**4/12 + 5*n**3/9 + 13*n**2/9 + 226. Suppose x(g) = 0. Calculate g.
-13, -1, 0, 2/3
Let 5/9*n**3 - 16/9 + 28/9*n**2 + 28/9*n = 0. What is n?
-4, -2, 2/5
Let -2*k**3 + 15/2*k**2 - 3/2 - 4*k = 0. Calculate k.
-1/4, 1, 3
Factor 3/8*g + 0 - 15/8*g**2.
-3*g*(5*g - 1)/8
Let q(d) be the third derivative of 0 + 0*d + 1/132*d**4 - 2/33*d**3 - 7*d**2 + 1/330*d**5. Factor q(u).
2*(u - 1)*(u + 2)/11
Let q(m) be the third derivative of -2*m**7/105 + 2*m**6/15 - m**5/15 - m**4 - 29*m**2. Factor q(a).
-4*a*(a - 3)*(a - 2)*(a + 1)
Determine l so that -121*l**5 + 76*l**3 + 238*l**5 + 88*l**2 - 432*l - 18*l**4 + 2*l**4 - 121*l**5 + 288 = 0.
-6, -3, 1, 2
Let t be ((-75)/(-42))/(-5)*12/(-15). Let b(n) be the first derivative of 3/7*n**2 - 3 + 1/14*n**4 - t*n**3 - 2/7*n. Factor b(v).
2*(v - 1)**3/7
Suppose 0 = -0*x - 5*x + 10, 2*i + 4*x = 12. Suppose -4*f + 4*c = 0, -f = 7*c - i*c - 12. Determine r, given that 3*r + 2*r - 5*r - 2*r**2 + f = 0.
-1, 1
Let s(b) be the second derivative of b**5/30 - b**4/9 - b**3 + 6*b**2 - b - 64. Factor s(g).
2*(g - 3)*(g - 2)*(g + 3)/3
Let z(n) = -395*n**2 - 409*n - 8. Let s(d) = 790*d**2 + 820*d + 15. Let x(j) = -2*s(j) - 5*z(j). Let x(t) = 0. Calculate t.
-1, -2/79
Suppose -g - 1 + 17 = 0. Let j be (-18)/(-15)*(4/g + 1). Find o such that -6*o - 15/2*o**2 - j - 3*o**3 = 0.
-1, -1/2
Suppose 0 = 7*u - 88 - 52. Suppose s + 16 = u. Find j, given that 0*j**4 - 3*j**3 + j**2 - 2*j**2 - 6 - 3*j**s + 3*j + 10*j**2 = 0.
-2, -1, 1
Determine b, given that -8/11*b**3 + 2/11*b**4 - 4/11*b + 0 + 10/11*b**2 = 0.
0, 1, 2
Let o(s) = s**2 - s - 1. Let l be o(-2). Suppose 1 + 18 = 4*f + 3*h, 0 = 4*f + 4*h - 20. Factor -2*w**3 + w**f - w**5 + l*w**3 + 2*w**2 - w**4.
-w**2*(w - 2)*(w + 1)**2
Let x(h) be the second derivative of 3*h**5/140 - 9*h**4/28 + 15*h**3/14 - 3*h**2/2 + 6*h - 2. Factor x(s).
3*(s - 7)*(s - 1)**2/7
Let l = 592/3 + -4114/21. Factor -l*w - 9/7 - 1/7*w**2.
-(w + 1)*(w + 9)/7
Let i(n) be the third derivative of n**5/30 - 7*n**4/12 + n**3/3 - 2*n**2. Let f be i(7). Factor -23*j**2 - j + 8 + 6*j + 19*j**f - j.
-4*(j - 2)*(j + 1)
Let p be 1/5 + (-35 - -27) - -8. Let c(r) be the first derivative of -2/5*r + 10 + 1/10*r**4 + 2/15*r**3 - p*r**2. Determine t so that c(t) = 0.
-1, 1
Let u(k) be the first derivative of 2*k**5/35 + k**4/7 - 8*k**3/21 - 8*k**2/7 - 52. Let u(i) = 0. What is i?
-2, 0, 2
Let w(h) be the third derivative of 0 + 1/105*h**7 + 2/3*h**3 + 3/10*h**5 - 1/12*h**6 - 6*h**2 - 7/12*h**4 + 0*h. Determine v so that w(v) = 0.
1, 2
Let b(s) = -19*s**2 - 391*s - 18. Let a(h) = -9*h**2 - 196*h - 8. Let k(f) = -9*a(f) + 4*b(f). Determine g so that k(g) = 0.
-40, 0
Let x(t) be the third derivative of t**5/60 + 101*t**4/12 + 31*t**2 - t. Factor x(n).
n*(n + 202)
Let r be 4/2 - 54/(-13 - -40). Factor 0 + 3/4*d**3 + r*d + 3/4*d**2.
3*d**2*(d + 1)/4
Let s(d) = 2*d**2 + 16*d + 27. Let c(l) = 1. Suppose -2*r + 30 = 20. Let b(p) = r*c(p) + s(p). Solve b(t) = 0 for t.
-4
Let k(a) be the third derivative of -5*a**8/1344 - a**7/42 - a**6/16 - a**5/12 - 5*a**4/96 + 5*a**2 + 20. Find g such that k(g) = 0.
-1, 0
Suppose 8*m - 7*m - 2*m + 4 = 0. Let -6*n**3 - m*n**4 + 0*n**2 - 2/3*n**5 + 0*n + 0 = 0. Calculate n.
-3, 0
Let g(t) = 8*t**5 + 4*t**4 - 4*t**3 - 12*t**2 + 4*t. Let h(s) = -9*s**5 - 5*s**4 + 2*s**3 + 13*s**2 - 5*s. Let r(p) = -5*g(p) - 4*h(p). Factor r(c).
-4*c**2*(c - 2)*(c + 1)**2
Let i(d) be the second derivative of 0 + 0*d**3 + 1/25*d**5 + 9*d + 0*d**2 + 1/5*d**4. Find v, given that i(v) = 0.
-3, 0
Let k(s) be the third derivative of 1/40*s**5 - 24*s**2 - 1/64*s**4 + 0*s**3 + 0*s - 3/320*s**6 + 0. Find c, given that k(c) = 0.
0, 1/3, 1
Let n(j) be the second derivative of -j**5/45 + 2*j**4/9 - 10*j**3/27 - 8*j**2/3 + 30*j. Find d, given that n(d) = 0.
-1, 3, 4
Let s(o) = o**3 + o + 1. Let u(x) = 2*x**3 - 6*x**2 - 6*x + 3. Let j(a) = 6*s(a) - 2*u(a). Factor j(y).
2*y*(y + 3)**2
Let n = -37/42 - -59/14. Find b such that n*b**4 + 32/3 + 80/3