) be the first derivative of -v**6/45 - 13*v**5/45 - 13*v**4/18 + 20*v**3/9 + v**2 - 77. Let m(j) be the second derivative of r(j). Factor m(h).
-4*(h + 2)*(h + 5)*(2*h - 1)/3
Suppose -4*l = 4*k - 3*l - 4, -2*k + l + 8 = 0. Suppose r = 1 + k. Let 9*u**4 - 6*u**2 + 75*u**5 - 72*u**5 - 9*u - 3 + 6*u**r + 0 = 0. What is u?
-1, 1
Let j(f) be the first derivative of 1/2*f**2 - f**3 + 2*f + 1/5*f**5 - 1/4*f**4 - 38. Factor j(z).
(z - 2)*(z - 1)*(z + 1)**2
Suppose 471/4*y**3 + 195*y**2 + 99*y + 0 + 21*y**4 - 3/4*y**5 = 0. Calculate y.
-2, -1, 0, 33
Let y(s) be the second derivative of -4/9*s**3 + 1/20*s**5 + 1/6*s**4 + 0 - 1/90*s**6 - 36*s + 0*s**2. Factor y(p).
-p*(p - 4)*(p - 1)*(p + 2)/3
Let a(g) = -21*g + 870. Let q be a(41). Let n(c) be the first derivative of -20/3*c**3 - q - 10*c - 25/2*c**2 - 5/4*c**4. Factor n(u).
-5*(u + 1)**2*(u + 2)
Let o(w) be the first derivative of -w**3/15 + 127*w**2/5 - 753*w/5 - 5605. Factor o(y).
-(y - 251)*(y - 3)/5
Let x(b) be the second derivative of b**7/420 + b**6/180 - b**5/60 - b**4/12 + b**3/3 + 3*b**2/2 - 77*b. Let i(p) be the second derivative of x(p). Factor i(o).
2*(o - 1)*(o + 1)**2
Let u(h) = -5206*h + 46856. Let s be u(9). Find y such that 15*y**3 - 1/4*y**4 - 50625/4 - 675/2*y**s + 3375*y = 0.
15
Let s(m) = 14*m**3 - 80*m**2 - 360*m + 1712. Let i(h) = 5*h**3 - 29*h**2 - 120*h + 570. Let g(c) = 8*i(c) - 3*s(c). Factor g(p).
-2*(p - 6)**2*(p + 8)
Let g(u) be the third derivative of 1/660*u**5 - 1 + 1/132*u**4 - 4/33*u**3 + 0*u - 45*u**2. Determine d so that g(d) = 0.
-4, 2
Let d be ((-67785)/27)/((-110)/66). Let y = -1505 + d. Find r such that y*r - 2/3 - 2/3*r**2 = 0.
1
Let a(y) be the first derivative of 3*y**3 + 1/3*y + 9/4*y**4 - 55 + 3/2*y**2. Find r such that a(r) = 0.
-1/3
Let c = -1353/10 + 677/5. Let g(s) be the third derivative of 1/12*s**4 + c*s**5 + 0*s - s**3 + 0 + 7*s**2 - 1/60*s**6. Determine r so that g(r) = 0.
-1, 1, 3
Let l be 2/(-6)*(9 - 12). Suppose 0 = 6*i - l - 23. Determine v, given that -5*v**2 - 4*v**3 + 7*v**i + 3*v - 4*v**2 + v**3 - 4*v**4 + 6 = 0.
-1, 1, 2
Let z = 25736 + -25676. Let m(l) be the first derivative of -10*l**2 - z*l + 35 + 15/2*l**4 + 15*l**3 + l**5. Suppose m(r) = 0. What is r?
-3, -2, 1
Let p(f) be the second derivative of 5/24*f**3 + 76 + 0*f**2 + 2*f + 1/48*f**4. Suppose p(z) = 0. What is z?
-5, 0
Let o(z) be the second derivative of -6 + 3/10*z**5 - 5*z - 29*z**2 - 181/12*z**4 + 205/6*z**3. Suppose o(u) = 0. Calculate u.
1/2, 2/3, 29
Let p(x) be the second derivative of -x**4/42 + 17*x**3/21 + 12*x**2 - 3780*x. Solve p(g) = 0.
-4, 21
Let r = 6462 + -6459. Let s(y) be the second derivative of -y**r + 2*y + 2*y**2 + 0*y**4 + 0 + 1/10*y**5. Factor s(o).
2*(o - 1)**2*(o + 2)
Let j = 4463 - 4463. Let n(l) be the second derivative of 8*l + j + 0*l**2 + 1/78*l**4 + 1/13*l**3. Suppose n(z) = 0. What is z?
-3, 0
Let w(z) be the second derivative of -63*z - 95/2*z**3 - 163/6*z**5 - 5/18*z**7 + 0 - 65/3*z**2 - 19/3*z**6 - 455/9*z**4. Solve w(d) = 0.
-13, -1, -2/7
Let t be 567/324*((-48)/(-10) + (-3 - (-3 - -4))). Let -w**2 + 8/5*w - 6/5*w**3 + t = 0. Calculate w.
-1, 7/6
Factor -40/3*u**2 + 2/9*u**3 + 154*u + 1452.
2*(u - 33)**2*(u + 6)/9
Let h be (-9)/(-63) + 13/7. Determine g, given that 37*g**2 - 1400*g + 1436*g + 4*g**3 + 16 - 13*g**h = 0.
-4, -1
Let x be 5 + (-6)/5*35/(-70)*-5. Let -20/3*m + 20/3 + 5/3*m**x = 0. Calculate m.
2
Suppose 3*k + 10*d - 29 = 5*d, d = -5*k + 19. Let p(b) be the first derivative of 0*b - 1/4*b**2 - 27 - 1/12*b**k. Factor p(i).
-i*(i + 2)/4
Let z(b) = -29*b**3 + 116*b**2 - 42*b - 78. Let p(q) = -144*q**3 + 580*q**2 - 208*q - 404. Let d(k) = 3*p(k) - 16*z(k). Solve d(j) = 0 for j.
-3/8, 1, 3
Let g(r) be the third derivative of -r**6/280 - 3*r**5/35 + 27*r**4/56 - r**3 - 10*r**2 - 11. Factor g(q).
-3*(q - 1)**2*(q + 14)/7
Let b(s) = -210*s**3 - 1. Let q be b(-1). Let q*o**3 + 42*o**2 + 47 - 119*o - 9 - 211*o**3 + 41*o = 0. Calculate o.
1, 19
Factor -142/5*k - 2/5*k**2 + 152.
-2*(k - 5)*(k + 76)/5
Suppose 34*b + 48 = 42*b. Let t be (-1)/(15*b/(-72)*4). Factor -7/5*v - 2/5*v**2 + 4/5 - t*v**5 + 8/5*v**3 - 2/5*v**4.
-(v - 1)**3*(v + 1)*(v + 4)/5
Let v be 4/5*(4 - (-81)/6). Let h = -4 + v. Factor 0*b**3 + h*b**2 + 2*b**3 - 7*b**3 - 5*b**4 + 0*b**2.
-5*b**2*(b - 1)*(b + 2)
Let z(o) be the third derivative of -1/3*o**4 - 1/30*o**5 + 0*o + 192*o**2 + 0*o**3 + 0. Factor z(f).
-2*f*(f + 4)
Let p be (9/(-15))/(14/(-70)). Factor p*f**2 - 2 - 6*f + 15*f + 0 + 8.
3*(f + 1)*(f + 2)
Let d = -10025 + 10028. Suppose -3*y = y - 12. Determine v, given that -12*v**5 + 72 + 9*v**4 + 18*v**4 + 60*v - 48*v**d - y*v**4 - 136*v**2 + 40*v**4 = 0.
-1, -2/3, 1, 3
Let d(z) be the third derivative of z**6/60 - 25*z**5/3 + 15625*z**4/12 - 3180*z**2. Factor d(c).
2*c*(c - 125)**2
Let s(k) be the second derivative of -2*k + 1/6*k**3 + 0*k**2 - 1/20*k**5 - 1/12*k**4 + 52 + 1/30*k**6. Let s(o) = 0. Calculate o.
-1, 0, 1
Let t = -585 + 784. Suppose 166 = -11*s + t. Suppose 5/3*f**s + 11/4*f**2 + 5/4*f + 1/6 = 0. Calculate f.
-1, -2/5, -1/4
Let q(i) = 2*i. Let n(m) be the first derivative of -m**4/2 + 8*m**3/3 + 10*m**2 - 20*m - 86. Let b(c) = 2*n(c) - 6*q(c). Suppose b(p) = 0. Calculate p.
-2, 1, 5
Let f(x) be the third derivative of x**4/4 + 29*x**3/3 - 37*x**2 + 3. Let g be f(-9). Suppose -4/5 - 16/5*j - 8/5*j**3 - g*j**2 = 0. What is j?
-1, -1/2
Let j(a) = 6*a**2 + 36*a - 27. Let q(w) = 28*w**2 + 178*w - 134. Let b(l) = 24*j(l) - 5*q(l). Find i such that b(i) = 0.
1, 11/2
Suppose 5*f + 11 = 4*q + 6*f, 5*q - 5*f + 5 = 0. Suppose -5*s + 3*c + 2*c + 120 = 0, 0 = 2*c. Find j such that 4*j**3 + 48*j + 34 + 5 + s*j**q - 35 + 28 = 0.
-2
Let s(k) = -k**4 + 2*k**3 - k**2 - k + 2. Let b(y) = 20*y**4 + 64*y**3 - 2162*y**2 + 19622*y - 65900. Let p(o) = -2*b(o) - 44*s(o). Suppose p(i) = 0. What is i?
12, 14
Let c(x) be the second derivative of x**7/21 + 17*x**6/15 - 24*x**5/5 - 234*x**4 + 288*x**3 + 25920*x**2 - 2676*x. Determine b, given that c(b) = 0.
-12, -5, 6
Let r(g) be the third derivative of -g**6/210 - 344*g**5/105 - 685*g**4/42 - 228*g**3/7 + 10*g**2 + 10. Solve r(q) = 0.
-342, -1
Let s(x) be the third derivative of 0*x**3 + 2/3*x**4 - 2/105*x**7 + 0*x - 58*x**2 + 0 - 3/5*x**5 + 1/5*x**6. Factor s(l).
-4*l*(l - 4)*(l - 1)**2
Let w = 521/1848 - -1/264. Let x = -32565/7 - -4665. Factor w*k**5 + 14580/7*k**2 + 118098/7 + 65610/7*k + x*k**4 + 1620/7*k**3.
2*(k + 9)**5/7
Suppose -3*w = 2*p - 1 - 5, -6 = -2*p + w. Factor -c**3 - 18*c**2 + 84*c - 84*c + p*c**2.
-c**2*(c + 15)
Factor 0 - 432/5*d + 48/5*d**3 - 132/5*d**2 + 3/5*d**4.
3*d*(d - 4)*(d + 2)*(d + 18)/5
Solve -13 - 9 - 1354*t - 2*t**2 - 1 + 1311*t + 2 = 0 for t.
-21, -1/2
Let n be ((-2)/(-4))/(-1 + (-49)/(-42)). Suppose 13309 - 13309 - n*k**4 + 3*k**2 + 6*k**3 - 6*k = 0. Calculate k.
-1, 0, 1, 2
Factor -10692*y + 56*y**2 + 320*y**2 - 2*y**3 - 2*y**3 - 736*y**2 - 104544.
-4*(y + 24)*(y + 33)**2
Let q = -1272 - -1325. Suppose -p + 19 = -3*l, 3*p + 2*l - q = -51. Let -8/7 - 12/7*z + 0*z**p - 4/7*z**5 + 8/7*z**2 + 16/7*z**3 = 0. What is z?
-1, 1, 2
Let c = 2/165079 - -5282498/2476185. Factor 2/5*s**2 + 2/3 + c*s.
2*(s + 5)*(3*s + 1)/15
Let f be (-10002)/(-30) - (-42)/30. Let k = f + -334. Determine a, given that -k*a**2 - 12/5 - 16/5*a = 0.
-3, -1
Let h(t) be the third derivative of 0*t**3 - 9/25*t**5 + 2*t - 243/20*t**4 + 0 + 26*t**2 - 1/300*t**6. Solve h(d) = 0 for d.
-27, 0
Let v(h) be the first derivative of -2*h**2 - 163 + 0*h - 2/21*h**3. Factor v(r).
-2*r*(r + 14)/7
Let x = -294748/9 + 32750. Factor 0 - x*y**3 + 0*y + 2/9*y**2.
-2*y**2*(y - 1)/9
Let v(k) = -8*k**4 - 2*k**2 - 5*k. Let w(f) = -5*f**4 - f**2 - 3*f. Suppose 1 = a, 28 = 5*s + 4*a - 1. Let l(m) = s*w(m) - 3*v(m). Factor l(i).
-i**2*(i - 1)*(i + 1)
Suppose 0 = 3*w - w + 72. Let h be ((-2)/6)/(6/w). Factor q**2 - 60*q + 180 - 3*q**h + 0*q**2 + 7*q**2.
5*(q - 6)**2
Let u(l) be the first derivative of -l**3/3 - 65*l**2/2 + 66*l + 1202. Find q such that u(q) = 0.
-66, 1
Let w(f) be the first derivative of 11/6*f**6 + 9/5*f**5 + 0*f - 62 + 0*f**2 - 1/2*f**4 + 0*f**3. Factor w(d).
d**3*(d + 1)*(11*d - 2)
Let i(r) be the third derivative of 7/32*r**4 - r + 1/480*r**6 + 0 + 3/4*r**3 + 1/30*r**5 - 176*r**2. Factor i(m).
(m + 2)*(m + 3)**2/4
Let a(c) be the third d