8 - 17) + 106/(-27). Let f(o) be the first derivative of -4/9*o**2 - 9 + h*o**3 + 2/3*o. Let f(j) = 0. Calculate j.
1, 3
Let o(f) be the second derivative of 5*f**4/3 + 805*f**3/6 + 100*f**2 - 4746*f. Let o(b) = 0. Calculate b.
-40, -1/4
Let a(v) = 6*v**2 - 2*v + 4. Let c be a(-2). Factor -13 + 6 + o**2 + c + 10*o.
(o + 5)**2
Let z(a) = -34*a**3 + 46*a**2 + 59*a - 14. Let k(w) = 5*w**3 + w**2 - w + 2. Let q(p) = -7*k(p) - z(p). Solve q(n) = 0.
-52, -1, 0
Determine i, given that 35*i + 88255*i**4 + 87*i - 88245*i**4 + 58*i + 315*i**2 + 121*i**3 + 24*i**3 = 0.
-12, -3/2, -1, 0
Let g(s) = s**2 - 181*s - 136588. Let j be g(-290). Factor -1/3*c**4 + 10/3*c**3 - 11/3 - 10/3*c + 4*c**j.
-(c - 11)*(c - 1)*(c + 1)**2/3
Let u(d) be the first derivative of 7*d**6/10 + 8*d**5/3 + 17*d**4/6 - 4*d**3/3 - 39*d**2/2 + d - 59. Let b(g) be the second derivative of u(g). Factor b(c).
4*(c + 1)**2*(21*c - 2)
Suppose s + 3*v - 2 = 0, s - 2 = 711*v - 710*v. Let 2/5*a**4 + 8/5 - 2*a**3 + 2/5*a**5 - s*a**2 + 8/5*a = 0. What is a?
-2, -1, 1, 2
Let c = 1076 - 1072. Let h be 78/52*c/13. Factor -14/13*r**2 + 0 + 10/13*r**3 + h*r - 2/13*r**4.
-2*r*(r - 3)*(r - 1)**2/13
Suppose -116*m = -25*m + 91*m - 910. Let d = 3 + 8. Find b, given that -3*b + 40*b**2 - 27*b**3 - d*b + 2*b**3 + m*b**4 - 6*b = 0.
0, 1, 2
Let g(x) be the third derivative of 0*x + 0*x**3 + 2 - 1/64*x**4 - 1/960*x**6 - 1/120*x**5 - 160*x**2. Factor g(c).
-c*(c + 1)*(c + 3)/8
Let x(a) be the third derivative of -a**8/20160 + a**7/144 + a**5/60 - 9*a**3 - 140*a**2. Let j(z) be the third derivative of x(z). What is u in j(u) = 0?
0, 35
Let t = 15362/731 - 362/17. Let u = 284/215 - t. Suppose 6/5*r + 2/5*r**2 - u = 0. Calculate r.
-4, 1
Factor 547 - 1055 + 508 - 713*k - k**2.
-k*(k + 713)
Let i(q) be the second derivative of -q**5/20 - 4*q**4/3 + 6*q**3 + 3*q + 323. Determine v, given that i(v) = 0.
-18, 0, 2
Let l = 431780 - 4749570/11. Factor l*f**3 + 46/11*f**2 + 24/11 - 80/11*f.
2*(f - 1)*(f + 6)*(5*f - 2)/11
Let f(a) = -a**2 - 31941*a + 95832. Let v be f(3). Factor 0*p**3 - 4/7*p**4 + v + 48/7*p + 52/7*p**2.
-4*p*(p - 4)*(p + 1)*(p + 3)/7
Let v be (-182)/28*6/(-468). Let a(x) be the third derivative of -v*x**6 + 4*x**2 + 5/12*x**4 + 0*x - 1/42*x**7 + 0*x**3 + 0 + 1/12*x**5. Factor a(t).
-5*t*(t - 1)*(t + 1)*(t + 2)
Let u(x) = -62*x + 122*x - 61*x. Let t be u(-3). Solve i - 11*i**2 + i + 68*i**3 - 29*i**t - 34*i**3 = 0 for i.
0, 1/5, 2
Let b(l) be the second derivative of 7*l**6/45 + l**5/3 - l**4/18 - 4*l**3/9 + 3630*l. Find c, given that b(c) = 0.
-1, 0, 4/7
Let j(r) = -9*r**2 - 9*r + 13. Let d(p) = 62 + 8*p - 26 - 18 - 30 + 8*p**2. Let c(o) = 5*d(o) + 4*j(o). What is q in c(q) = 0?
-2, 1
Let d(w) be the first derivative of -4*w**5/5 - 4*w**4 + 120*w**3 - 648*w**2 + 1404*w + 2189. Factor d(v).
-4*(v - 3)**3*(v + 13)
Let i(z) be the first derivative of -z**5/15 + 53*z**4/12 + 6*z**3 + 6593. Factor i(p).
-p**2*(p - 54)*(p + 1)/3
Let n = -840432 - -5883092/7. Let n*y**3 + 8/7 - 40/7*y**2 - 4*y + 32/7*y**5 + 104/7*y**4 = 0. Calculate y.
-2, -1, 1/4, 1/2
Let z(l) be the first derivative of -7*l**4/6 - 361*l**3/9 - 1144*l**2/3 + 169*l - 2328. Let z(u) = 0. What is u?
-13, 3/14
Let i = 7874 - 7870. Let k(r) be the third derivative of 13*r**2 + 1/240*r**5 - 1/48*r**i + 0 + 0*r + 0*r**3. Determine h, given that k(h) = 0.
0, 2
Let c be (-4)/10*(-1 + -4). Factor 17*z**c + 5*z**4 + 10*z**3 - 16*z**3 - 14*z**3 - 2*z**2.
5*z**2*(z - 3)*(z - 1)
Let g = 1462 - 1570. Let r be ((-198)/g + -2)*(0 + -4). Factor -r*l - 1/3*l**2 - 1/3.
-(l + 1)**2/3
Let a be 1/2*(-8)/(-738). Let t = a + 121/369. Factor 0 + 0*x + 1/3*x**3 - 1/3*x**5 + t*x**2 - 1/3*x**4.
-x**2*(x - 1)*(x + 1)**2/3
Let y(a) be the first derivative of -a**7/280 - a**6/24 + 71*a**3/3 + 27. Let p(z) be the third derivative of y(z). Factor p(i).
-3*i**2*(i + 5)
Let o be (-6 + (-4627)/(-770))*(1 + -237). Let p = o + 28/11. Factor 2/5*t**2 + 0 + p*t**4 - 4/5*t**3 + 0*t.
2*t**2*(t - 1)**2/5
Let s(z) be the first derivative of -3*z**4/8 + 5*z**3/2 - 9*z**2/4 - 17*z + 85. Let a(t) be the first derivative of s(t). Solve a(m) = 0 for m.
1/3, 3
Let a(j) be the first derivative of j**4/5 + 32*j**3/15 - 8*j**2 - 1369. What is f in a(f) = 0?
-10, 0, 2
Let b(w) = -51*w**3 - 2626*w**2 - 280*w. Let c(r) = -48*r**3 - 2625*r**2 - 282*r. Let q(g) = -3*b(g) + 2*c(g). Determine m so that q(m) = 0.
-46, -2/19, 0
Let h(s) = -10*s**2 + 50*s - 20. Let j(f) = -9*f**2 + 50*f - 19. Let z(p) = 3*h(p) - 4*j(p). Factor z(l).
2*(l - 8)*(3*l - 1)
Let p(o) be the first derivative of -5*o**3/3 + 90*o**2 + 380*o + 880. Factor p(c).
-5*(c - 38)*(c + 2)
Suppose -22033 = -73*q - 21814. Factor -6/7 - 8/7*r + 4/7*r**q + 10/7*r**2.
2*(r - 1)*(r + 3)*(2*r + 1)/7
Let n(d) be the second derivative of 0 - 2*d**2 - 1/12*d**4 + 108*d + 5/6*d**3. Suppose n(f) = 0. What is f?
1, 4
Let b(w) be the second derivative of -3*w**5/20 + 30*w**4 - 234*w**3 + 696*w**2 + 1876*w. Find s such that b(s) = 0.
2, 116
Let n(a) = -3*a - 125. Let b be n(-31). Let t be (b/10 - -3) + 8/20. Factor 0*z**2 - t*z**3 + 0 - 1/5*z**5 - 2/5*z**4 + 0*z.
-z**3*(z + 1)**2/5
Let c(b) be the third derivative of -3/40*b**6 - 7/20*b**5 + 1/10*b**7 + 41*b**2 + 0*b**3 + 5/112*b**8 + 0 + b - 1/4*b**4. Find t such that c(t) = 0.
-1, -2/5, 0, 1
Solve 20808 - 5*q**4 - 3396*q**2 - 266*q**3 - 17204*q + 10*q**4 - 9*q**4 + 62*q**3 = 0 for q.
-18, -17, 1
Solve 3*q**2 + 6*q**2 + 2888 - 1498 + q**3 - 102*q - 1750 + 2*q**3 = 0 for q.
-5, -4, 6
Let y = 257 - 255. Determine q, given that -20 - 131*q + 25*q**y + 106*q + 65*q = 0.
-2, 2/5
Let s(r) be the second derivative of r**6/10 + 213*r**5/80 + 25*r**4/8 - 17*r**3/8 - 62*r + 7. Suppose s(k) = 0. Calculate k.
-17, -1, 0, 1/4
Let k(s) be the second derivative of s**5/30 - 37*s**4/18 + 70*s**3/3 - 77*s - 3. Suppose k(u) = 0. What is u?
0, 7, 30
Let o(k) = k**2 + 245*k + 7869. Let f be o(-38). Let s(w) be the first derivative of 5*w + 36 - 5/3*w**f + 0*w**2. Let s(r) = 0. Calculate r.
-1, 1
Let k(r) be the third derivative of 0 + 8*r**2 - 1/80*r**5 + 0*r + 1/480*r**6 - 3/32*r**4 + 13/6*r**3. Let t(o) be the first derivative of k(o). Factor t(y).
3*(y - 3)*(y + 1)/4
Let n(f) be the third derivative of 0 + 545/24*f**4 + 0*f - 7/24*f**6 + 135*f**2 + 25*f**3 + f**5. Factor n(y).
-5*(y - 5)*(y + 3)*(7*y + 2)
Let u = 2/107989 - -12526706/971901. Determine c, given that -2/9*c**2 + u - 6*c = 0.
-29, 2
Let i(y) be the second derivative of 3*y**6/4 - 4191*y**5/40 + 43431*y**4/8 - 452631*y**3/4 + 89373*y**2/2 + 515*y + 4. Suppose i(w) = 0. What is w?
2/15, 31
Find i such that 333/7*i + 354/7 - 3*i**2 = 0.
-1, 118/7
Let p(s) be the first derivative of 1/2*s**4 + 229 + 0*s + 0*s**2 - 4/3*s**3. Determine c, given that p(c) = 0.
0, 2
Let b be (-154)/444 - 57/171. Let y = -1/74 - b. Let -y*o**3 + 2/3*o**2 + 2/3*o - 2/3 = 0. Calculate o.
-1, 1
Let l(n) = -218*n - 38359. Let y be l(-176). Factor 15/2 + 3/2*r**2 + y*r.
3*(r + 1)*(r + 5)/2
Let o(k) = -3*k**2 - 19*k + 15. Let a(v) = 2*v**2 + 10*v - 8. Let z = 28 + -24. Suppose 54*q - z = 55*q. Let c(f) = q*o(f) - 7*a(f). Factor c(s).
-2*(s - 2)*(s - 1)
Let b(p) be the third derivative of -p**8/84 - p**7/15 - p**6/30 + 11*p**5/30 + p**4/3 - 4*p**3/3 - 1244*p**2. Suppose b(o) = 0. What is o?
-2, -1, 1/2, 1
Let z(u) be the second derivative of -4/35*u**5 + 130*u + 4/105*u**6 + 1/3*u**3 + 0 + 1/147*u**7 - 1/3*u**4 + 10/7*u**2. What is o in z(o) = 0?
-5, -1, 1, 2
Let v = -3998 - -9893. Factor -s**2 + 4*s**2 + v - 5904 - 6*s.
3*(s - 3)*(s + 1)
Suppose 5*h - 5*y - 60 = 0, 4*y + 37 = -2*h + 1. Let 6/5*w**h - 6/5 - 2/5*w + 2/5*w**3 = 0. What is w?
-3, -1, 1
Let q be (1782/63 - -4)/26. Let f = q - -3/364. Factor 3/2 + 1/4*a**2 + f*a.
(a + 2)*(a + 3)/4
Factor 1280*z**2 - 62640*z**4 + 440*z**3 + 685 + 147 + 62700*z**4 + z**5 + 1680*z.
(z + 2)**4*(z + 52)
Suppose -3*k - 673 = -s + 2760, 3*k - 6902 = -2*s. Factor -6*c**2 + 3453*c - s*c + 8*c**2 - 10.
2*(c - 1)*(c + 5)
Suppose 511 - 57 = 64*d + 262. Let w(v) be the first derivative of -20 + 5*v + 5/3*v**d - 5*v**2. Factor w(a).
5*(a - 1)**2
Let w(g) be the second derivative of g**5/20 + g**4/12 - g**3/3 - 3*g**2 + 381*g. Let o be w(2). Suppose -6/11 - 4/11*i**3 + 8/11*i + 10/11*i**o = 0. What is i?
-1, 1/2, 3
Let n(m) be the first derivative of 