f 35*b**4/12 + 1135*b**3/6 - 585*b**2 - 3761*b. Factor g(x).
5*(x - 1)*(7*x + 234)
Let r(z) = 8*z**3 + 7*z**2 + 165*z + 545. Let q(d) = -5*d**3 - 4*d**2 - 82*d - 272. Let l(o) = 10*q(o) + 6*r(o). Solve l(t) = 0 for t.
-5, 11
Suppose 0 = -2*g - 2*w + 24, -513*w + 44 = 2*g - 509*w. Determine x so that 15/2 + 9/4*x - 3/4*x**g = 0.
-2, 5
Let a = 19762 - 19754. Let s(o) be the first derivative of -27/5*o**4 + 23 + a*o**2 + 4/5*o**3 + 16/5*o. Let s(z) = 0. What is z?
-2/3, -2/9, 1
Suppose 0 = 6*u + 5 - 17. Factor -68*l**3 + 65*l**3 - 46*l**2 + 49*l**u.
-3*l**2*(l - 1)
Let b(l) = -1461*l**2 + 88090*l - 14643. Let q(y) = 3*y**3 + 4*y**2 - y + 1. Let d(i) = 3*b(i) + 6*q(i). Solve d(f) = 0.
1/6, 121
Let f(r) be the third derivative of 0 + 0*r - 3/50*r**5 - 1/15*r**3 + 1/10*r**4 - 86*r**2. Factor f(w).
-2*(3*w - 1)**2/5
Let u(h) be the first derivative of 5/2*h**4 + 0*h**3 - 8/5*h**5 + 0*h + 0*h**2 - 1/3*h**6 + 29. Factor u(v).
-2*v**3*(v - 1)*(v + 5)
Let o(u) = -7*u**3 - 9*u**2 + 62*u + 76. Let j(n) = 51*n**3 + 63*n**2 - 432*n - 534. Let k(w) = -2*j(w) - 15*o(w). Let k(f) = 0. Calculate f.
-6, -1, 4
Let c(z) be the first derivative of 2*z**3/39 - 11*z**2/13 + 20*z/13 - 766. Solve c(n) = 0 for n.
1, 10
Solve 25*i**2 - 320 - 170 + 1010*i - 145 + 20 = 0.
-41, 3/5
Let a(j) be the third derivative of j**8/2520 - j**7/504 + j**6/360 - j**5/60 + 16*j**3/3 - 8*j**2 + 2*j. Let r(p) be the third derivative of a(p). Factor r(h).
2*(h - 1)*(4*h - 1)
Let x = 313771/7 + -44824. Factor -6/7 + x*d + 3/7*d**2.
3*(d - 1)*(d + 2)/7
Determine p so that 0*p**2 + 192*p + 1293 - 3768 + 3*p**2 + 4*p**2 - 4*p**2 = 0.
-75, 11
Factor 38051 - 44267 + 1167*y**2 - 107859 - 3*y**3 - 112905*y.
-3*(y - 195)**2*(y + 1)
Solve 10*l**2 + 275*l - 21*l**3 + 320 - 75*l + 16*l**3 = 0.
-4, -2, 8
Let l(k) be the third derivative of 4*k**7/315 - 23*k**6/180 + 13*k**5/45 + 2*k**4/9 + 1241*k**2. Solve l(s) = 0 for s.
-1/4, 0, 2, 4
Suppose -4*k - 1 = f - 21, -2*k + 20 = 3*f. Solve -67*r**k + 72*r**4 + 60*r + 75*r**2 + 35*r**3 + 5*r**2 = 0.
-3, -2, 0
Factor 4784/5 - 288/5*k + 4/5*k**2.
4*(k - 46)*(k - 26)/5
Suppose 2*v - 5*r = 9, 4768*r = -v + 4763*r - 3. Let 0 - 7/5*j**3 - j + 2/5*j**4 - 14/5*j**v = 0. What is j?
-1, -1/2, 0, 5
Let j(o) be the second derivative of -o**8/336 + o**7/1260 + 7*o**4/4 - 91*o. Let w(m) be the third derivative of j(m). Factor w(l).
-2*l**2*(10*l - 1)
Let d(l) be the first derivative of -110*l**2 + 5/3*l**3 + 215*l + 101. Factor d(k).
5*(k - 43)*(k - 1)
Let m be (4 + -6 - 1) + 4. Suppose -z = -4 + m. Factor -14 - 17 - z*v**2 + 22 + 12*v.
-3*(v - 3)*(v - 1)
Factor 0 - 15/2*x**2 + 1/2*x**4 - 4*x - 3*x**3.
x*(x - 8)*(x + 1)**2/2
Suppose -1374*t**3 + 465*t**4 - 2307*t**2 + 2751/2*t - 3/2*t**5 + 1842 = 0. What is t?
-1, 1, 4, 307
Let d = 2621 + -2617. Let 147/5*h**d - 24/5 + 63/5*h**3 + 36*h - 366/5*h**2 = 0. Calculate h.
-2, 2/7, 1
Solve 3*y - 6/5*y**4 - 3/5*y**5 + 0 - 42/5*y**2 + 36/5*y**3 = 0 for y.
-5, 0, 1
Let g(n) = -3*n**2 - 12*n. Let c(d) = -5*d**2 - 25*d. Let o be (-7 + 0 + -1)*51/68. Let t(x) = o*c(x) + 13*g(x). Factor t(q).
-3*q*(3*q + 2)
Let k(a) be the first derivative of -17405*a - 5/3*a**3 - 295*a**2 + 10. Factor k(t).
-5*(t + 59)**2
Suppose 0 = -4*r - 0*r, -3*u = 5*r. Suppose -5*o - 10 = 5*t, 0 = -t - u*o - 3*o - 6. Let -1/4*g**5 + t + g**3 + 1/4*g**4 - g**2 + 0*g = 0. What is g?
-2, 0, 1, 2
Let i(d) be the second derivative of 80*d**7/3 + 391*d**6/15 - 221*d**5/10 - 20*d**4/3 + 4*d**3 - 17*d + 145. Solve i(o) = 0 for o.
-1, -2/7, 0, 3/16, 2/5
Let j(g) be the third derivative of -g**8/1344 - g**7/20 - 3*g**6/5 + 72*g**5/5 - 865*g**2. Factor j(k).
-k**2*(k - 6)*(k + 24)**2/4
Let k(f) = 39*f**2 + 45*f + 132. Let m(h) = -11*h**2 - 13*h - 37. Let d(l) = -5*k(l) - 18*m(l). Factor d(t).
3*(t + 1)*(t + 2)
Let g be ((-2)/(-4))/(133/1330). Let m(x) be the first derivative of -x**3 - 1/2*x**4 + 3/5*x**g + 0*x - 14 + x**2. Factor m(o).
o*(o - 1)*(o + 1)*(3*o - 2)
Let c(s) be the second derivative of 3*s**5/20 + 3*s**4/2 + 3*s**3/2 - 15*s**2 + 532*s. Suppose c(x) = 0. What is x?
-5, -2, 1
Let t(u) be the first derivative of 0*u**2 - 15 + 0*u + 0*u**4 - 12/5*u**5 + 16/3*u**3 - 2/3*u**6. Find d, given that t(d) = 0.
-2, 0, 1
Let d(x) be the third derivative of -x**6/240 - 127*x**5/40 + 1404*x**2 + 2. Find q, given that d(q) = 0.
-381, 0
Let v = -107/14 + 164/21. Factor 0 + 0*b**3 + 0*b + v*b**4 + 0*b**2 - 1/6*b**5.
-b**4*(b - 1)/6
Factor -2*m**2 - 404*m - 431 - 228 + 367 - 305 - 597.
-2*(m + 3)*(m + 199)
Factor -46*b**2 - 181*b - 180 - 1/4*b**3.
-(b + 2)**2*(b + 180)/4
Let q(j) be the second derivative of j**8/3360 + j**7/420 - j**6/90 - j**5/5 + 20*j**4/3 + 8*j + 1. Let i(a) be the third derivative of q(a). Factor i(g).
2*(g - 2)*(g + 2)*(g + 3)
Find d such that 972/5 - 378/5*d + 48/5*d**2 - 2/5*d**3 = 0.
6, 9
Let r(a) be the first derivative of a**3/12 - 7*a**2/8 - 49*a/2 + 1122. Find d, given that r(d) = 0.
-7, 14
Let n(q) = 80*q**3 - 480*q**2 + 2095*q - 2625. Let r(s) = -13*s**3 + 80*s**2 - 349*s + 438. Let z(l) = 4*n(l) + 25*r(l). Let z(t) = 0. Calculate t.
3, 10
Let t(x) = 39*x**3 + 48*x**2 + 135*x - 186. Let v(c) = -3*c**3 + c - 1. Let h(w) = t(w) + 12*v(w). Factor h(f).
3*(f - 1)*(f + 6)*(f + 11)
Let u be ((-294)/189)/(8/(-18)). Let r(c) = -c**2 + 3*c. Let i be r(3). Suppose -n**4 + i*n + n**2 + u*n**5 + 0 - 7/2*n**3 = 0. Calculate n.
-1, 0, 2/7, 1
Let i(y) be the second derivative of y**5/100 - 5*y**4/12 - 53*y**3/30 - 27*y**2/10 + 6744*y. Find r, given that i(r) = 0.
-1, 27
Let n(i) = -i**2 + 6*i - 6. Suppose -18*b + 17*b = -4. Let g be n(b). Factor 5 + 7 + 4*x**g - 16.
4*(x - 1)*(x + 1)
Let u(w) be the second derivative of 7*w**5/4 + 445*w**4/12 + 635*w**3/3 - 200*w**2 + 2221*w. Factor u(f).
5*(f + 5)*(f + 8)*(7*f - 2)
Factor 684/11*l + 2034/11 + 2/11*l**2.
2*(l + 3)*(l + 339)/11
Suppose 11*z + 2 = 2. Let 8*r**2 - 30*r**3 - 43*r**2 + 5*r**4 + z*r**2 = 0. What is r?
-1, 0, 7
Suppose -4*b = 5*v + 6, -4*b + 5 = -3*v + 27. Factor 164*j**2 - j**4 + j**5 - j**3 + 0*j**3 - 163*j**v.
j**2*(j - 1)**2*(j + 1)
Let d(g) be the first derivative of 108 - 39/5*g**5 + 11*g**3 + 6*g - 2*g**6 + 33/2*g**2 - 21/4*g**4. Let d(z) = 0. Calculate z.
-2, -1, -1/4, 1
Let j(z) be the second derivative of z**4/12 - 274*z**3/3 + 37538*z**2 - 80*z + 10. Let j(t) = 0. What is t?
274
Let k = 4626 + -4626. Let g(q) be the third derivative of -1/6*q**4 - 4*q**2 + 0*q**3 + 0*q + 1/180*q**6 - 1/90*q**5 + k. Let g(p) = 0. Calculate p.
-2, 0, 3
Let b = 177 - 161. Factor -15*h**2 + 128*h - 126*h + b*h**3 + 16*h**4 + 8*h**3.
h*(h + 2)*(4*h - 1)**2
Factor 1/4*s**3 + 64770*s - 1019/4*s**2 + 65025.
(s - 510)**2*(s + 1)/4
Let m(w) be the first derivative of -4*w**5/5 + 10*w**4 + 148*w**3/3 + 52*w**2 - 1586. Let m(u) = 0. What is u?
-2, -1, 0, 13
Let f(t) = 5*t + 13. Let s(u) = 31*u - 95. Let k be s(3). Let o be f(k). Solve -4/7*x + 0 + 2/7*x**4 - 6/7*x**2 + 0*x**o = 0.
-1, 0, 2
Let a(c) = 50*c**2 + 13. Let r be a(-3). Let t = r - 461. Find y, given that 4/3 - 4/3*y**3 - 4/3*y**t + 4/3*y = 0.
-1, 1
Let a(b) be the second derivative of 9*b**7/70 + 67*b**6/10 + 2472*b**5/25 + 746*b**4/5 - 2664*b**3/5 - 1944*b**2/5 + 3505*b. Find x, given that a(x) = 0.
-18, -2, -2/9, 1
Let m = 7 + -1. Let q = 73 - 73. Solve 2 + m*s + 3*s**2 + q*s - 2 = 0 for s.
-2, 0
Let f(i) be the second derivative of -25*i - 1/4*i**3 - 23/60*i**5 + 11/60*i**6 + 1/12*i**2 - 1/28*i**7 + 3 + 5/12*i**4. Factor f(q).
-(q - 1)**3*(3*q - 1)**2/6
Let h(m) be the third derivative of 5*m**8/168 - m**7/315 - 2*m**6/5 + 4*m**5/45 + 4*m**4/3 - 16*m**3/9 - 70*m**2 + 10. Let h(p) = 0. Calculate p.
-2, -1, 2/5, 2/3, 2
Let r(y) be the third derivative of y**5/120 - y**4/48 - 55*y**3/6 + 2554*y**2. Factor r(p).
(p - 11)*(p + 10)/2
Let z(g) be the third derivative of -g**6/280 - 3*g**5/70 - 11*g**4/56 - 3*g**3/7 + 511*g**2. Factor z(f).
-3*(f + 1)*(f + 2)*(f + 3)/7
Suppose 52*t - 92 = -35 + 48 + 51. Find r such that 0 - 2/11*r**5 - 2/11*r**t + 0*r**2 + 4/11*r**4 + 0*r = 0.
0, 1
Let s(l) be the third derivative of -l**6/80 + 9*l**5/40 - 3*l**4/2 + 5*l**3 + l**2 - 988. Factor s(y).
-3*(y - 5)*(y - 2)**2/2
Let j = -467160 + 467160. Factor j*t + 48*t**3 + 28/3*t**5 - 32/3*t**2 + 0 - 40*t**4.
4*t**2*(t - 2)**2*(7*t - 2)/3
Let g = 443288 - 443286. Determine l, g