 third derivative of w**6/210 + 62*w**5/105 + 47*w**4/6 - 112*w**3/3 + 11033*w**2. Find b such that i(b) = 0.
-56, -7, 1
Let b(g) be the third derivative of 188*g**2 - 31/20*g**5 + 1/10*g**6 + 0 + 13/2*g**4 + g + 15/2*g**3. Factor b(c).
3*(c - 5)*(c - 3)*(4*c + 1)
Let i(s) = -3*s + 17. Let n be i(10). Let o(v) = -v - 3. Let q be o(n). Factor q*a**3 - 4*a**2 + 6*a**3 - 12*a**3.
4*a**2*(a - 1)
Suppose 4*m - 4*r = -r + 23, -3*m + 4*r = -26. Let o = 475 + -475. Factor -4/5*l + 2/5*l**m + o.
2*l*(l - 2)/5
Factor -11*c**2 + 14 + 48940*c**3 + 31*c - 35 - 48939*c**3.
(c - 7)*(c - 3)*(c - 1)
What is b in -2068 - 1029*b**3 + 18*b**5 - 21*b**5 - 462*b**2 - 168*b + 304 - 119*b**4 + 3545*b**2 = 0?
-21, -2/3, 1, 2
Let l(z) = 3*z**2 + z - 4. Let t(b) = 26*b**2 - 924*b + 1824. Let j(s) = -8*l(s) + t(s). Factor j(h).
2*(h - 464)*(h - 2)
Let q(s) be the first derivative of -s**4/46 + 14*s**3/23 - 66*s**2/23 - 448*s/23 - 6371. Find b such that q(b) = 0.
-2, 7, 16
Let q(d) be the first derivative of d**7/1680 - d**6/40 + 40*d**3 - 76. Let g(z) be the third derivative of q(z). Factor g(r).
r**2*(r - 18)/2
Suppose -1920*p = -2049*p + 258. Factor 0 - 1/2*s**3 + 1/2*s**p + s.
-s*(s - 2)*(s + 1)/2
Let w(k) = -4*k**2 + 2*k + 8. Let v(z) = -z**2 + z + 1. Suppose -7*g + 32*g - 300 = 0. Let h(j) = g*v(j) - 2*w(j). Suppose h(l) = 0. Calculate l.
1
Let y(j) = -3*j + 2. Let g(l) = 57*l - 2 - 57*l + 2*l**2 - l**2. Let z(o) = 3*g(o) + 3*y(o). Factor z(i).
3*i*(i - 3)
Let f(y) be the first derivative of 5/7*y**3 - 96/7*y - 117/7*y**2 + 45. Factor f(p).
3*(p - 16)*(5*p + 2)/7
Let v(q) = 1792*q + 27 - 339*q**3 + 117*q**2 - 943*q - 930*q. Let b(h) = 26*h**3 - 9*h**2 + 6*h - 2. Let t(l) = -27*b(l) - 2*v(l). Factor t(r).
-3*r**2*(8*r - 3)
Let c(f) be the first derivative of -2*f**5 - 4*f**2 + 10/3*f**3 + 3/2*f**4 + 97 + 0*f + 1/3*f**6. Factor c(j).
2*j*(j - 4)*(j - 1)**2*(j + 1)
Let o = 16140 + -242099/15. Let s(i) be the third derivative of 7/300*i**5 - 1/24*i**4 + 0 + 0*i - o*i**3 - 2*i**2. Determine w so that s(w) = 0.
-2/7, 1
Suppose 0 = -9*u + 6*u + 525. Let f be u/(-20)*9/(-21). Factor 5/4*l**3 + f - 15/4*l**2 - 5/4*l.
5*(l - 3)*(l - 1)*(l + 1)/4
Let t(i) = 14*i**3 - 8*i**2 - i + 35. Let n(w) = -15*w**3 + 8*w**2 - w - 40. Let l(a) = -5*n(a) - 6*t(a). Factor l(f).
-(f - 1)**2*(9*f + 10)
Let k = 4711976/14135901 + -3/4711967. Suppose 5*d + 0 = 5*a + 5, 3*a - 2*d + 2 = 0. Solve -1/3*s + a + k*s**2 = 0.
0, 1
Let i(t) be the first derivative of t**6/390 + t**5/130 - t**4/78 + t**2/2 + 16*t - 44. Let m(x) be the second derivative of i(x). Factor m(h).
2*h*(h + 2)*(2*h - 1)/13
Let w(u) be the second derivative of -u**6/75 + 17*u**5/25 - 19*u**4/6 + 62*u**3/15 - 548*u. Suppose w(g) = 0. Calculate g.
0, 1, 2, 31
Let x(k) be the first derivative of -k**6/6 + 6*k**5 - 77*k**4/4 - 36*k**3 - 3560. Factor x(l).
-l**2*(l - 27)*(l - 4)*(l + 1)
Let l(j) be the second derivative of -j**4/42 - 302*j**3/7 + 907*j**2/7 + 2*j + 80. Factor l(s).
-2*(s - 1)*(s + 907)/7
Let o(r) be the second derivative of -r**5/16 - 55*r**4/96 + 5*r**3/6 + 93*r**2 + 6*r - 7. Let a(f) be the first derivative of o(f). Factor a(u).
-5*(u + 4)*(3*u - 1)/4
Let t(o) be the second derivative of o**5/110 - 5*o**4/33 - 23*o**3/11 - 90*o**2/11 + 45*o - 8. Factor t(r).
2*(r - 15)*(r + 2)*(r + 3)/11
Let k(r) be the second derivative of r**4/126 - 44*r**3/63 - 64*r**2/7 - 4616*r. Solve k(c) = 0 for c.
-4, 48
Let c be 2709/645*360/966. Factor 0 + 2/23*z**4 + 42/23*z**2 - 16/23*z**3 - c*z.
2*z*(z - 3)**2*(z - 2)/23
What is v in 42*v**2 + 1/3*v**3 + 396 - 261*v = 0?
-132, 3
Let m(w) = w**5 - w**4 + 8*w**3 - w**2 + 2*w - 1. Let l(b) = -b**5 - 123*b**4 - 1004*b**3 + 3*b**2 - 6*b + 3. Let p(h) = -l(h) - 3*m(h). Solve p(a) = 0 for a.
-7, 0, 70
Suppose 391*q + 580*q = 55 - 55. Factor 1/2*l**2 + q*l + 9/8*l**4 + 5/2*l**3 + 0.
l**2*(l + 2)*(9*l + 2)/8
Solve 76/7*a**3 + 660/7*a + 0 + 412/7*a**2 + 4/7*a**4 = 0 for a.
-11, -5, -3, 0
Let j(o) be the third derivative of o**5/75 + 43*o**4/10 + 3*o**2 + 2*o + 136. Factor j(r).
4*r*(r + 129)/5
Let w = 213 - 205. Let z be (-27)/(-12)*w/6. Factor 1/5*q**z - 3/5*q - 2/5*q**2 + 0.
q*(q - 3)*(q + 1)/5
Let u(g) be the second derivative of g**7/14 - g**6 + 15*g**5/4 - 945*g + 2. Factor u(h).
3*h**3*(h - 5)**2
Factor 5*j**3 + 37636 + 112132*j + 420*j**2 + 25*j**3 - 2533*j**2 - 211*j**2 - 18*j**3.
4*(j - 97)**2*(3*j + 1)
Let s(i) be the first derivative of -1/15*i**3 - 18/5*i + 7 - 19/10*i**2. Factor s(y).
-(y + 1)*(y + 18)/5
Let c(a) be the second derivative of -a**4/54 - 56*a**3/9 + 1408*a**2/9 + 10569*a. Find t, given that c(t) = 0.
-176, 8
Let h(k) be the second derivative of -k**4/54 + 26*k**3/27 - 88*k**2/9 + 531*k - 1. Factor h(p).
-2*(p - 22)*(p - 4)/9
Let o be 1/3 - ((-21140)/(-12))/(-7). Let p = o + -250. Suppose 2 - 3/2*q**3 - 11/2*q**p + 7/2*q**4 + 3/2*q**5 + 0*q = 0. Calculate q.
-2, -1, 2/3, 1
Let a(d) be the second derivative of -7*d - 21/160*d**5 + 9/16*d**4 + 3/2*d**2 - 5/4*d**3 + 1/80*d**6 - 1. Factor a(f).
3*(f - 2)**3*(f - 1)/8
Factor -189 - 201/4*o - 3/4*o**2.
-3*(o + 4)*(o + 63)/4
Let l(c) be the first derivative of -12/25*c**5 + 4/3*c**3 + 0*c + 3/10*c**4 + 0*c**2 + 1/15*c**6 - 85. Suppose l(w) = 0. Calculate w.
-1, 0, 2, 5
Let r(c) be the third derivative of -c**9/302400 - 3*c**8/5600 - 81*c**7/2800 - c**5/12 - 3*c**2 + 6. Let j(h) be the third derivative of r(h). Factor j(p).
-p*(p + 27)**2/5
Suppose -s + 150 = 6. Let d = s - 287/2. Find m, given that -d*m**2 + 1/2*m + 1 = 0.
-1, 2
Let v(z) be the third derivative of z**8/2688 - 191*z**7/1680 + 63*z**6/5 - 7808*z**5/15 - 4096*z**4/3 - 3481*z**2. Suppose v(c) = 0. Calculate c.
-1, 0, 64
Let k be (-66 - -44) + -9 + 31. Find b, given that 1/4*b**5 + 5/4*b**4 - 5/4*b**2 + k - b + 3/4*b**3 = 0.
-4, -1, 0, 1
Suppose 0 + 1/6*o**2 - 43/3*o = 0. What is o?
0, 86
Let l(w) be the first derivative of 5*w**3 - 537*w**2/2 - 666*w - 293. Factor l(a).
3*(a - 37)*(5*a + 6)
Let l = -134863/3 + 44955. Factor 2/3*y**4 + l*y**3 - 4/3 - 10/3*y - 2*y**2.
2*(y - 2)*(y + 1)**3/3
Suppose -863*f - 1007*f = -3740. Find j such that -22*j - 74/7*j**f + 2/7*j**3 - 78/7 = 0.
-1, 39
Let u(j) be the second derivative of j + 0*j**2 + 3/8*j**5 - 8 - 1/24*j**6 - 5/4*j**4 + 5/3*j**3. Factor u(o).
-5*o*(o - 2)**3/4
Factor -39428 - 86526 + 24870 + 1100*w - 50166 + 20*w**2 - 22*w**2.
-2*(w - 275)**2
Let n be (-35)/42 + 80/96. Let s(p) be the first derivative of 3*p**2 - 1/2*p**4 + n*p**3 + 27 - 4*p. Factor s(j).
-2*(j - 1)**2*(j + 2)
Factor 98/23*d**3 + 2160/23*d - 42*d**2 - 1400/23.
2*(d - 7)*(7*d - 10)**2/23
Suppose -3*j + 644*v - 640*v = 8, 8 = 3*j + 4*v. Let q(n) be the first derivative of -13 + 2*n - 2/3*n**3 + j*n**2. Determine z, given that q(z) = 0.
-1, 1
Let w(d) be the second derivative of -24*d + 1/18*d**3 + 1/12*d**4 - 1 + 0*d**2. Find b, given that w(b) = 0.
-1/3, 0
Let x(g) be the third derivative of -g**7/15120 + g**6/1440 - g**5/360 - g**4/24 - 17*g**3/3 + 14*g**2. Let d(u) be the second derivative of x(u). Factor d(n).
-(n - 2)*(n - 1)/6
Let y(l) = 12*l**4 + 22*l**3 + 46*l**2 - 14*l. Let n(j) = -j**4 - 3*j**3 - j**2 - j. Let m(x) = -44*n(x) - 4*y(x). Factor m(h).
-4*h*(h - 5)**2*(h - 1)
Find p such that 26 - 23*p**3 + 35*p + 10*p**2 - 6 - 10*p**3 + 28*p**3 = 0.
-1, 4
Factor 473*x - 547*x**2 + 119*x**2 + 24*x**3 - 45 - 1090*x - 115 - 415*x.
4*(x - 20)*(x + 2)*(6*x + 1)
Let t(d) be the first derivative of 2*d**3/21 + 8384*d**2/7 + 35145728*d/7 - 13608. Factor t(w).
2*(w + 4192)**2/7
Find c such that 4508/5*c - 1432/5*c**2 + 20*c**3 - 2/5*c**4 - 3174/5 = 0.
1, 3, 23
Let c(g) be the second derivative of g**4/78 - 38*g**3/39 + 37*g**2/13 - 2509*g. Determine o, given that c(o) = 0.
1, 37
Let g(i) be the first derivative of 208 + 1/21*i**6 - 1/7*i**4 + 2/7*i + 1/7*i**2 + 2/35*i**5 - 4/21*i**3. Factor g(d).
2*(d - 1)**2*(d + 1)**3/7
Let b(o) = 6*o. Let f(y) = 15*y**2 + 5669*y - 3770. Let w(r) = -4*b(r) + f(r). Let w(s) = 0. Calculate s.
-377, 2/3
Let m = -14977/193 - -7702286/3281. Let k = -2269 + m. Determine d so that -2/17*d**2 + k + 4/17*d = 0.
-2, 4
Let u(m) = -9*m**5 - 12*m**4 + 18*m**3 + 30*m**2 - 39*m + 18. Let h(s) = -s**5 - s**4 + 3*s**2. Let j(i) = -6*h(i) + u(i). Factor j(w).
-3*(w - 1)**3*(w + 2)*(w + 3)
Let d(t) be the third derivative of -t**6