cond derivative of 0*r**4 + 1/10*r**5 + 0*r**2 + 0 - 1/15*r**v - 8*r + 0*r**3. Let i(p) = 0. Calculate p.
0, 1
Let b(i) be the first derivative of -i**6/72 + i**5/12 - 5*i**4/24 + 4*i**3 + 5. Let l(w) be the third derivative of b(w). Suppose l(r) = 0. Calculate r.
1
Let n(i) be the third derivative of -i**5/160 + 3*i**4/4 - 15*i**2 + 16*i. What is g in n(g) = 0?
0, 48
Let i(t) = -13*t**3 + 61*t**2 - 95*t + 27. Let k(g) = -14*g**3 + 62*g**2 - 94*g + 27. Let c(f) = 5*i(f) - 4*k(f). Factor c(x).
-3*(x - 3)**2*(3*x - 1)
Let z = 919/222 + -110/37. Let -10/3*c + 13/3*c**2 - z*c**3 - 4/3 = 0. Calculate c.
-2/7, 2
Let k(h) be the second derivative of 0*h**3 + 0 + 17*h + 0*h**2 + 1/66*h**4. Solve k(p) = 0 for p.
0
Let v = -58408/3 + 19470. Factor v + 2/3*z**2 + 4/3*z.
2*(z + 1)**2/3
Find c, given that -1/3*c**2 + 8*c - 23/3 = 0.
1, 23
Let r(g) = g**3 - 8*g**2 + 40*g - 24. Let l(p) = -2*p**2 + 10*p - 6. Let i(h) = 9*l(h) - 2*r(h). Factor i(j).
-2*(j - 1)**2*(j + 3)
Let d(k) = -k + 1. Let l(f) be the third derivative of f**5/60 + 7*f**4/24 - 4*f**3/3 - 11*f**2. Let x(c) = -10*d(c) - 2*l(c). Factor x(t).
-2*(t - 1)*(t + 3)
Let s(l) be the first derivative of 162*l**5/55 + 81*l**4/11 - 18*l**3/11 - 60*l**2/11 - 24*l/11 + 31. Find i, given that s(i) = 0.
-2, -1/3, 2/3
Let r(l) be the first derivative of -5*l**4/14 + 2*l**3/7 + 32*l**2/7 + 24*l/7 - 258. Find q, given that r(q) = 0.
-2, -2/5, 3
Let d(q) be the third derivative of 1/147*q**7 + 0*q**3 + 2/105*q**5 + 26*q**2 + 0*q + 0 - 1/1176*q**8 + 0*q**4 - 2/105*q**6. Let d(n) = 0. Calculate n.
0, 1, 2
Let q(o) = o**2 - 1. Let p(n) = -5*n**3 - 15*n**2 + 65*n - 45. Let y(z) = p(z) + 5*q(z). Factor y(v).
-5*(v - 2)*(v - 1)*(v + 5)
Let m(y) be the third derivative of y**8/2856 + 2*y**7/595 - y**6/1020 - 19*y**5/255 + 32*y**3/51 + 2*y**2 + 26. Let m(g) = 0. What is g?
-4, -1, 1, 2
Let i = -34 + 38. Determine o so that -6*o**3 - 2*o**3 - 4*o**4 + 12*o + i*o**2 - 4*o = 0.
-2, -1, 0, 1
Let v be -6 + (-1 - (-70)/9). Let a(b) be the first derivative of 4 - 4/9*b - 10/27*b**3 + v*b**2. Factor a(f).
-2*(f - 1)*(5*f - 2)/9
Let s(w) = 10*w**3 - 608*w**2 + 1282*w - 636. Let g(m) = 2*m**3 - 122*m**2 + 256*m - 127. Let i(x) = -16*g(x) + 3*s(x). Let i(b) = 0. Calculate b.
1, 62
Suppose -4*d = -d + r - 16, 4*r = 3*d + 4. Let f(h) be the second derivative of 0 - 2*h - 6/35*h**5 + 1/28*h**d + 8/35*h**6 + 0*h**3 + 0*h**2. Factor f(c).
3*c**2*(4*c - 1)**2/7
Let m(g) be the first derivative of -8 + g - 1/6*g**3 + 1/4*g**2. Factor m(n).
-(n - 2)*(n + 1)/2
Let d be -5 - (-6)/(156/143). Let -1/4*p**2 + 1/2*p - d*p**3 + 1/4*p**4 + 0 = 0. Calculate p.
-1, 0, 1, 2
Factor -6/5*p**3 + 1/5*p**5 - 4/5*p**4 + p + 0 + 4/5*p**2.
p*(p - 5)*(p - 1)*(p + 1)**2/5
Let t(z) = -z + 18. Let m be t(10). Suppose -m - 3*p**2 + 4*p + 5*p + 2 = 0. Calculate p.
1, 2
Let f(y) be the third derivative of -y**8/1512 + 31*y**7/945 - 19*y**6/54 - 383*y**5/135 - 833*y**4/108 - 289*y**3/27 + y**2 - 196. Factor f(c).
-2*(c - 17)**2*(c + 1)**3/9
Determine i, given that 18/7*i + 6*i**4 + 4/7 - 6/7*i**2 - 58/7*i**3 = 0.
-1/3, -2/7, 1
Let b(w) be the first derivative of -w**5/30 + 5*w**4/12 + 13*w**2/2 - 14. Let u(v) be the second derivative of b(v). Factor u(o).
-2*o*(o - 5)
Let c(u) = -u + 5. Let m be c(11). Let g(k) = -16*k**2 + 11*k + 5. Let h(l) = 3*l**2 - 2*l - 1. Let r(q) = m*g(q) - 33*h(q). Solve r(b) = 0.
-1, 1
Let s(a) be the second derivative of a**5/20 + a**4/4 - 8*a**3/3 + 6*a**2 + 65*a. Suppose s(f) = 0. Calculate f.
-6, 1, 2
Let v(c) = -2*c**2 - 1. Let h(u) = 2*u**3 + 86*u**2 - 190*u + 93. Let x(w) = h(w) - 3*v(w). Factor x(y).
2*(y - 1)**2*(y + 48)
Let d(g) be the second derivative of g**5/20 + g**4/2 + 3*g**3/2 + 71*g. Let d(p) = 0. What is p?
-3, 0
Let a be 2/(-1) - ((-3116)/(-80))/(-19). Let x(s) be the third derivative of 0*s**3 + 0*s + a*s**5 + 0 + 4*s**2 + 1/8*s**4. Let x(j) = 0. What is j?
-1, 0
Let m(s) be the third derivative of -s**8/672 + s**7/105 + s**6/20 + s**5/60 - 11*s**4/48 - s**3/2 + 14*s**2. Suppose m(k) = 0. What is k?
-1, 1, 6
Suppose -20 = 17*x + 14. Let f be (-437)/(-460) + x/10. Let -2*v**4 + 0*v + f*v**5 + 3/4*v**3 + 0 + 1/2*v**2 = 0. What is v?
-1/3, 0, 1, 2
Let s(l) be the third derivative of -l**7/1050 - 7*l**6/600 - l**5/20 - 3*l**4/40 - 73*l**2 - 3*l. Factor s(v).
-v*(v + 1)*(v + 3)**2/5
Let j be 22/110*5/2. Let f(h) be the first derivative of -2/9*h**3 + 1/18*h**6 - 1/3*h + 2 + 1/6*h**4 - j*h**2 + 1/5*h**5. Suppose f(p) = 0. Calculate p.
-1, 1
Let f = -33392 + 1168362/35. Let w = f - -54/5. Factor -2*i**5 - 38/7*i**4 - 30/7*i**3 + w*i + 0 - 2/7*i**2.
-2*i*(i + 1)**3*(7*i - 2)/7
Suppose 80 + 8*j**3 - 1751*j**4 - 22*j**3 - 3*j**2 + 56*j + 1749*j**4 - 9*j**2 = 0. Calculate j.
-5, -2, 2
Suppose 28 = 5*m + 8. Suppose -m*b + 9 = -5*h, -b - h + 6 = -3. Factor 2*n**4 + 4*n**2 + 3*n**3 + b*n**3 - 3*n**3.
2*n**2*(n + 1)*(n + 2)
Let s(f) be the third derivative of f**7/735 - 23*f**6/210 + 24*f**5/7 - 675*f**4/14 + 1125*f**3/7 + 6*f**2 + 11. Find x such that s(x) = 0.
1, 15
Let c = -2782 - -375572/135. Let h(t) be the second derivative of -1/9*t**4 + 0*t**2 + 0 - 2/27*t**3 - c*t**6 - 5*t - 1/15*t**5. Factor h(o).
-4*o*(o + 1)**3/9
Suppose 2126*t - 1899*t = 454. Let z = -79/4 - -20. Factor -z + 3/4*p - 1/2*p**t.
-(p - 1)*(2*p - 1)/4
Let i(m) be the second derivative of -5*m**4/24 + 65*m**3/24 + 35*m**2/8 + 46*m. Determine f, given that i(f) = 0.
-1/2, 7
Let g(f) = -f**3 + 8*f**2 - 10*f - 8. Let r = -1 - -7. Let p be g(r). Factor -4*k**p + k**4 - 3*k**2 - 3*k**3 + 2*k**4 - k.
-k*(k + 1)**3
Suppose 0 = -2*g + 2*z, -4*g - 23 = z - 38. Factor 5/4*m**g + 0*m + 5/4*m**2 + 0.
5*m**2*(m + 1)/4
Let a be (-2)/(-6)*(-2 + 11). Let k be -6*(-1)/(-18)*-8*(-15)/(-110). Solve k*r**a + 0 + 2/11*r**2 + 2/11*r**4 + 0*r = 0.
-1, 0
Let y(t) = t**3 - t**2 - 23*t - 8. Let j be y(-4). What is k in -7/4*k**2 + 1/2 + 3/4*k - 3/4*k**3 + 5/4*k**j = 0?
-1, -2/5, 1
Suppose 7*b - 20 = 3*b. Suppose -b*v - g + 0*g + 10 = 0, 3*g - 10 = -5*v. Factor 4*s**3 - 40 + 2*s**4 - v*s**3 - 2*s + 40 - 2*s**2.
2*s*(s - 1)*(s + 1)**2
Let f(l) = l**3 + l**2 - 2*l - 2. Let s(j) = -14*j**3 + 10*j**2 - 24*j - 48. Let g(p) = 12*f(p) + s(p). Solve g(k) = 0 for k.
-1, 6
Let f(c) be the third derivative of c**6/96 - 27*c**5/16 + 175*c**4/2 - 1000*c**3/3 - 388*c**2. Factor f(l).
5*(l - 40)**2*(l - 1)/4
Let a(v) be the first derivative of v**7/1050 - v**5/50 + v**4/15 - v**3/10 + 3*v**2/2 + 4. Let t(n) be the second derivative of a(n). Factor t(s).
(s - 1)**3*(s + 3)/5
Suppose 46*q**2 - 3 + 3 - q**3 - 7*q - 54*q**2 = 0. Calculate q.
-7, -1, 0
Let j(f) be the second derivative of f**6/3 - 33*f**5/10 + 21*f**4/2 - 9*f**3 + 257*f. Factor j(q).
2*q*(q - 3)**2*(5*q - 3)
Let l(j) be the first derivative of -j**8/2520 - j**7/420 - j**6/270 - 35*j**3/3 - 38. Let d(z) be the third derivative of l(z). Factor d(c).
-2*c**2*(c + 1)*(c + 2)/3
Let z(g) be the second derivative of g**5/60 + 5*g**4/24 + 2*g**3/3 - g**2 - 27*g. Let i(u) be the first derivative of z(u). Let i(y) = 0. What is y?
-4, -1
Let m be 14/(-28) - (30/(-27))/2. Let l(k) be the second derivative of 1/3*k**2 + m*k**4 - 9*k - 7/18*k**3 + 0 + 1/20*k**5. Suppose l(y) = 0. What is y?
-2, 1/3, 1
Let w(j) = 52*j**4 - 644*j**3 - 361*j**2 + 293*j - 42. Let z(u) = 105*u**4 - 1287*u**3 - 723*u**2 + 585*u - 84. Let r(l) = -9*w(l) + 4*z(l). Solve r(k) = 0.
-1, 1/4, 14
Let w be 2 + (-606)/(-4) + 11/(-22). Let p = w + -455/3. Solve p + 0*c - 1/3*c**2 = 0.
-2, 2
Suppose 4*o - 343 + 317 = -f, -f = 3*o - 21. Solve 12/7*w**2 - 3/7*w**4 + 3/7*w**o - 18/7*w**3 + 24/7*w + 0 = 0.
-2, -1, 0, 2
Let s(n) = -39*n**3 - 8802*n**2 - 1234818*n - 57623982. Let z(u) = 11*u**3 + 2515*u**2 + 352805*u + 16463995. Let t(c) = 5*s(c) + 18*z(c). Factor t(x).
3*(x + 140)**3
Let m(p) = -8*p + 5 + 14 - 1 + 5*p**2 - 4*p**2. Let s be m(5). Factor 2/15*d**s + 0 + 0*d - 2/15*d**2.
2*d**2*(d - 1)/15
Let s(n) be the second derivative of n**4/12 - 17*n**3/6 - 9*n**2 - n - 25. Factor s(k).
(k - 18)*(k + 1)
Suppose -q = -t + 2*t - 6, -51 = -4*q + 5*t. Let c be ((-16)/14)/(q/(-21)). Solve -c*w + 68/3*w**3 + 16*w**4 + 0 + 4*w**2 = 0 for w.
-1, -2/3, 0, 1/4
Let b = -36/313 + 11099/1252. Factor 5/4*u**4 - 15*u + 20*u**2 + 0 - b*u**3.
5*u*(u - 3)*(u - 2)**2/4
Let p = 2314 - 16150/7. Factor