f**2 - 162*f + 716. Let p be k(4). Let j(u) be the first derivative of -u**5 + 0*u**2 + 5*u**p - 19 + 0*u - 20/3*u**3. Solve j(v) = 0.
0, 2
Let h = -3965 + 51547/13. Factor -h*a**4 - 12/13*a**2 - 2/13 + 8/13*a**3 + 8/13*a.
-2*(a - 1)**4/13
Let o = -284 - -303. Let 9 + 6*k**5 + 3*k**5 - 28 + 42*k**4 + o - 9*k + 6*k**2 + 48*k**3 = 0. What is k?
-3, -1, 0, 1/3
Let n = 35 + -45. Let o be -2*(-1)/(-4)*n. Factor -4*m**3 + 0*m**o + 14*m**5 + 6*m**5 + 16*m**4.
4*m**3*(m + 1)*(5*m - 1)
Let u be 21408/(-244605) - (192/184)/(-12). Let l = 42554/24815 + u. Let -l*j - 16/7*j**5 - 52/7*j**2 - 12*j**3 - 60/7*j**4 + 0 = 0. Calculate j.
-1, -3/4, 0
Suppose 111*a**4 + 48*a**5 - 607*a - 557*a - 51*a**5 - 656*a + 86*a - 1179*a**3 + 2805*a**2 = 0. What is a?
0, 1, 2, 17
Solve -323761/3*w**3 - 2276/3*w**2 - 4/3*w + 0 = 0 for w.
-2/569, 0
Let i(j) be the third derivative of -j**7/735 + 23*j**6/210 - 44*j**5/105 + 680*j**2. Suppose i(k) = 0. Calculate k.
0, 2, 44
Let n(o) be the second derivative of -289*o**7/14 + 34*o**6/5 + 11259*o**5/20 - 1088*o**4 + 434*o**3 - 72*o**2 + 1503*o. Let n(b) = 0. Calculate b.
-4, 2/17, 1, 3
Let u be (-6)/((-24)/(-20))*4/5. Let n(r) = 33*r**2 + 128*r + 17. Let q(d) = 16*d**2 + 64*d + 8. Let c(m) = u*n(m) + 7*q(m). Determine o, given that c(o) = 0.
-3, -1/5
Let f(o) be the first derivative of o**8/112 - 19*o**7/70 + 99*o**6/40 - 81*o**5/20 + o**2 + 3*o - 69. Let t(d) be the second derivative of f(d). Factor t(k).
3*k**2*(k - 9)**2*(k - 1)
Let n = 521 - 506. Suppose 2*y = 5*r - n, 4*r - 6*r = -2*y - 6. Determine u, given that 3*u + 0 + 3/4*u**3 + r*u**2 = 0.
-2, 0
Let r(k) = k**3 + 6*k**2 + 2*k - 12. Let z be r(-5). Suppose 238*v**2 + 74*v**4 + 20*v - 48 + 15 + 274*v**z + 1 - 14*v**5 = 0. What is v?
-1, 2/7, 8
Let m(n) be the second derivative of n**8/5280 - n**7/1386 - 47*n**4/3 - 23*n. Let x(a) be the third derivative of m(a). Factor x(u).
2*u**2*(7*u - 10)/11
Suppose 10*y = -2*g + 11*y - 11, -3*y = -4*g - 25. Let t be (3 - 171/60) + g/(-16). Determine h, given that 0*h + 0 + 0*h**2 + t*h**3 - 2/5*h**4 = 0.
0, 1
Let s(b) be the second derivative of -b**7/2940 + b**6/105 + 13*b**5/420 + 125*b**3/6 - 10*b + 5. Let k(q) be the second derivative of s(q). Solve k(j) = 0.
-1, 0, 13
Let m be 328/80 + (-5)/50. Let -173*o**2 + m*o**4 - 11 + 132*o**2 - 42*o + 3 - 3*o**3 = 0. What is o?
-2, -1, -1/4, 4
Suppose 60 = -10*n + 5*n. Let r be (-1)/(26/n + 2). Suppose -4*v - r*v + 4*v**2 + 2 + 2*v + 2 = 0. What is v?
1
Let d(j) be the second derivative of -3*j**5/20 - 1725*j**4/4 - 743043*j**3/2 + 2234307*j**2/2 - 134*j. Factor d(b).
-3*(b - 1)*(b + 863)**2
Find l, given that -1/2*l**3 - 47*l**2 - 2209/2*l + 0 = 0.
-47, 0
Factor -11144265 - 10310796 + 4157061 - 5*t**2 + 18600*t.
-5*(t - 1860)**2
Suppose 0 = -3*t - 5*w + 6, -3*w = -2*t - 0*w + 4. Suppose 4*n**2 + 3*n**2 + 63*n + 69*n - 8*n**2 - 2*n**t = 0. Calculate n.
0, 44
Let a(s) be the third derivative of s**10/52920 + s**9/5292 - s**8/1960 - s**4/8 + 35*s**3/6 + 148*s**2. Let k(i) be the second derivative of a(i). Factor k(o).
4*o**3*(o - 1)*(o + 6)/7
Let b be (-490)/(-550) - 25/275. Factor 4/5*p - b*p**2 + 24/5.
-4*(p - 3)*(p + 2)/5
Let g be (-4939)/396 + 13 + 8/36. Let v(y) be the first derivative of y**3 + 0*y**2 + g*y**4 - 9 + 0*y. Find a such that v(a) = 0.
-1, 0
Suppose -4 = -4*c, -u = c + 2 + 7. Let h be u/(-12) + (-1)/(2 - -1). Determine t so that 0 + 0*t + h*t**2 = 0.
0
Let q be 6/10*((-120)/176)/((-108)/33). Factor q*s + 1/8*s**3 - 3/4 + 1/2*s**2.
(s - 1)*(s + 2)*(s + 3)/8
Let j(a) be the third derivative of 53/6*a**5 + 4 - 11/42*a**7 + 7*a**2 + 665/24*a**4 + 5/336*a**8 + 245/6*a**3 + 0*a + 5/12*a**6. Factor j(x).
5*(x - 7)**2*(x + 1)**3
Let j(c) = -93*c**3 - 118*c**2 + 36*c - 4. Let w(f) = -555*f**3 - 710*f**2 + 215*f - 25. Let n(a) = -25*j(a) + 4*w(a). Determine m so that n(m) = 0.
-4/3, 0, 2/7
Suppose 2*s + 2*s = -5*o + 173, -4*o = -3*s - 126. Suppose 153*q - 142*q = o. What is j in 0*j**2 - 1/5*j**q + 2/5 + 3/5*j = 0?
-1, 2
Let i(w) = 5*w**3 - 514*w**2 - 67083*w - 260106. Let s(p) = -31*p**3 + 3084*p**2 + 402501*p + 1560637. Let l(h) = 37*i(h) + 6*s(h). Let l(y) = 0. Calculate y.
-255, -4
Let w(v) be the first derivative of 4*v**3/9 - 73*v**2/15 - 112*v/15 + 1874. Factor w(c).
2*(c - 8)*(10*c + 7)/15
Let a(l) = l**2 + 1. Suppose 0 = 63*s - 48*s - 45. Let g(v) = -v**4 + v**3 - 3*v**2 - 3. Let k(o) = s*a(o) + g(o). Factor k(d).
-d**3*(d - 1)
Suppose -3*l - 4*x = -5*l + 58, 5*l - 3*x - 138 = 0. Let h be (11/(-33))/(((-3)/l)/1). Factor -h + 5/2*s - 1/2*s**2.
-(s - 3)*(s - 2)/2
Let g(w) = 5*w**3 - w**2 + 2. Suppose 4 = 2*x - 2*h, x = -x + h + 4. Let c(q) = -6*q**3 - 3. Let u(l) = x*c(l) + 3*g(l). Factor u(j).
3*j**2*(j - 1)
Suppose 39*i - 2 = 38*i. Factor 12*o + 43*o**i - 41*o**2 + o**3 - 3*o**3.
-2*o*(o - 3)*(o + 2)
Let q(g) be the first derivative of g**4/4 - 5*g**3 + 27*g**2/2 - 8*g - 16. Let k be q(13). Factor -42*f**3 - 8*f**4 + k*f**4 + 53*f**2 - 101*f**2 - 99*f**2.
-3*f**2*(f + 7)**2
Let t(i) be the third derivative of 0*i + 0 + 2/3*i**3 - 170*i**2 + 1/150*i**5 - 11/60*i**4. What is n in t(n) = 0?
1, 10
Determine z, given that -1425/2*z**2 + 711*z**3 + 0*z + 0 + 3/2*z**4 = 0.
-475, 0, 1
Let g(v) = 16*v**3 + 8*v**2 - 136*v + 58. Let z(k) = -k**3 + k**2 + 4*k - 1. Let h(d) = 2*g(d) + 36*z(d). Find c such that h(c) = 0.
1, 2, 10
Factor -21/5*r**2 + 36 - 303/5*r.
-3*(r + 15)*(7*r - 4)/5
Let i(j) be the first derivative of 35*j**3 - 545*j**2/2 + 440*j + 12406. Determine y, given that i(y) = 0.
1, 88/21
Let w(x) be the third derivative of x**6/40 - 24*x**5/5 + 95*x**4/8 - 3*x**2 - 78. Factor w(t).
3*t*(t - 95)*(t - 1)
Let d(w) be the first derivative of w**4 + 104*w**3/3 + 130*w**2 - 368*w - 495. Factor d(n).
4*(n - 1)*(n + 4)*(n + 23)
Factor 17*j**4 - 38*j**4 - 280 + 16*j**4 - 460*j - 100*j**2 + 12*j**3 - 170*j**2 - 77*j**3.
-5*(j + 2)**3*(j + 7)
Suppose -16*i + 10 = -11*i. Suppose -s - i*p = -8 - 13, -4*p = 4*s - 100. Factor -3*w**2 + 40 - 2*w**2 - 6*w - s*w.
-5*(w - 1)*(w + 8)
Factor 197/6*i - 1/6*i**3 + 25 + 23/3*i**2.
-(i - 50)*(i + 1)*(i + 3)/6
Let w(z) be the third derivative of -1/75*z**7 - 3/50*z**6 - 1/840*z**8 - 13/60*z**4 + 1 + 31*z**2 + 0*z - 11/75*z**5 - 1/5*z**3. Find i, given that w(i) = 0.
-3, -1
Solve 4*a**5 + 754*a**3 - 800*a**2 - 816*a**3 - 1200*a + 32*a**4 + 10*a**3 = 0.
-6, -5, -2, 0, 5
Let f(m) = 34*m**3 - 572*m**2 + 434*m - 26. Let z(l) = -4*l**3 + 64*l**2 - 48*l + 3. Let u(k) = 6*f(k) + 52*z(k). Solve u(r) = 0 for r.
-27, 0, 1
Let k be 1 + (-1)/2*-4. Let y be ((-1)/(-3) - -1)*k. Let -3*b + y*b - 2*b**2 + b + 0*b = 0. What is b?
0, 1
Let k(s) be the third derivative of -s**8/448 + 13*s**7/280 + 31*s**6/80 + 49*s**5/40 + 67*s**4/32 + 17*s**3/8 - 708*s**2 + s. Determine a so that k(a) = 0.
-1, 17
Let i be ((-80)/64)/((-77)/52 + 1). Find p such that 1/5*p**3 + 7/5 - i*p + p**2 = 0.
-7, 1
Let s(x) be the first derivative of x**5/45 - 4*x**4/9 + 14*x**3/9 - x**2/2 + 17*x + 190. Let u(q) be the second derivative of s(q). Factor u(l).
4*(l - 7)*(l - 1)/3
Suppose -3*t + 23*t - 80 = 0. Factor -3*o + 5*o + 14*o**3 - 6*o**t - 4*o**2 - 6*o**2.
-2*o*(o - 1)**2*(3*o - 1)
Let o(h) = 13*h**2 + 14*h - 21. Let r(y) = 3*y**2 - y - 1. Let v = 675 - 681. Let b(u) = v*r(u) + o(u). Solve b(t) = 0.
1, 3
Factor 522*p - 3/2*p**2 - 45414.
-3*(p - 174)**2/2
Suppose -32*l = 46*l - 62*l. Let a(c) be the third derivative of -1/16*c**4 + 0*c + l + 1/2*c**3 - 3/40*c**5 + 35*c**2 + 1/140*c**7 + 1/80*c**6. Factor a(j).
3*(j - 1)**2*(j + 1)*(j + 2)/2
Let n be (((-47)/94)/((-14)/(-20)))/((-24)/252). Solve -3*p**4 - 3 - 15/2*p**5 + 15*p**3 + 6*p**2 - n*p = 0 for p.
-1, -2/5, 1
Suppose 3*u - 245*u**4 + 753*u**2 + 121*u**4 - 762*u**5 + 638*u**4 + 1769*u**4 - 2277*u**3 = 0. What is u?
-1/254, 0, 1
Let j(c) be the second derivative of -c**7/189 + 163*c**6/135 + 11*c**5/2 + 497*c**4/54 + 166*c**3/27 + 5258*c. Suppose j(t) = 0. What is t?
-1, 0, 166
Let r be 1/11 - ((-26)/(-286))/((-5)/347). Let w = 5 + -3. Determine l, given that -104/5*l + 14/5*l**4 - 62/5*l**w + r*l**3 - 24/5 = 0.
-3, -1, -2/7, 2
Let z(v) be the first derivative of 3*v**4/8 + v**3 - 42*v**2 - 288*v + 2731. Factor z(k).
3*(k - 8)*(k + 4)*(k + 6)/2
Let x(u) be the third derivative of -2/35*u**7 - 46*u**2 + 0 + 0*u - 1/10*u**5 + 0*u**3 