ctor 1/7*u + 0 + 1/7*u**3 - j*u**2.
u*(u - 1)**2/7
Let x be (6826292/4008 - 27/2) + 2/6. Solve 130*j + x + 5/2*j**2 = 0 for j.
-26
Let a(u) be the third derivative of -120409*u**5/160 - 347*u**4/32 - u**3/16 - 43*u**2 + 6. Determine l so that a(l) = 0.
-1/347
Suppose -23*a + 17*a = -12. Let n(c) be the second derivative of 29*c - 112/3*c**3 + 55/3*c**4 + 0 + 5*c**5 + 24*c**a. Factor n(b).
4*(b + 3)*(5*b - 2)**2
Let k(t) be the first derivative of 4*t**5/5 - 17*t**4/4 - 103*t**3/3 - 65*t**2 - 48*t - 1248. Solve k(f) = 0 for f.
-2, -1, -3/4, 8
Let g be (-280)/(-196) - (-6)/(-14) - -2. Find b, given that -11*b**g + 0*b**3 + 26*b + 14 + 5*b**3 + 4*b**3 + 10*b**2 = 0.
-1, 7
Let s(v) = 11*v**2 + 62*v + 51. Suppose 29*b + 12 = 41. Let r(a) = 2*a**2 + 2*a. Let h(l) = b*s(l) - 4*r(l). Factor h(t).
3*(t + 1)*(t + 17)
Let b(v) be the first derivative of -4*v**5/5 - 520*v**4 + 4172*v**3/3 - 1044*v**2 - 5459. Factor b(u).
-4*u*(u - 1)**2*(u + 522)
Let d = 4/199327 + 4185859/398654. Find t such that -39/2*t**3 + 39/2*t + 9/2 + d*t**2 - 15*t**4 = 0.
-1, -3/10, 1
Factor -48 + 60*u - 42 + 90 - 192*u - 2*u**2.
-2*u*(u + 66)
Solve 69/2*d**2 - 69/2 + 1/2*d - 1/2*d**3 = 0 for d.
-1, 1, 69
Suppose -p + n - 39 = 0, 0*p - n + 127 = -3*p. Let k = p + 49. Let -3*m + 11*m + k*m**2 - 13*m**2 - 12 + 12*m**2 = 0. Calculate m.
-3, 1
Factor -3328200 + 1320*k - 61206*k**2 - 3126*k - 1317*k - 2037*k + 61204*k**2.
-2*(k + 1290)**2
Let m be (6/(-5))/(148/20 - 7). Let r be 21/(-18)*(87/(-21) - m). Factor -r*j**3 + 0*j**2 + 20/9*j**5 + 8/9*j**4 + 0 + 0*j.
4*j**3*(j + 1)*(5*j - 3)/9
Let y(d) be the first derivative of -3*d**4/4 + 1103*d**3/4 + 207*d**2/2 + 6447. Factor y(a).
-3*a*(a - 276)*(4*a + 1)/4
Suppose 99 = 80*p - 141. Let i(l) be the third derivative of -3/10*l**5 + 0 + 0*l - 4*l**p + 1/40*l**6 + 27*l**2 + 3/2*l**4. Suppose i(f) = 0. Calculate f.
2
Let u = 317 - 376. Let q = -59 - u. Determine t, given that q + 1/3*t**5 + 4/3*t**4 + 1/3*t + 4/3*t**2 + 2*t**3 = 0.
-1, 0
Suppose -122 - 82 = -19*z - 166. Let 0 + 52/7*f**z - 40/7*f**3 - 12/7*f = 0. What is f?
0, 3/10, 1
Solve -4*x**4 - 1349 + 267 - 5272*x - 2285*x**3 + 517*x**3 - 5280*x**2 - 659 - 15 = 0.
-439, -1
Let w be ((8640/42)/(-16))/(-3) - (-4 - (-60)/14). Let -9/4*m + 0 - 1/4*m**w + 1/4*m**2 + 9/4*m**3 = 0. What is m?
-1, 0, 1, 9
Let b = 150 - 227. Let m = b - -77. Factor 8 + m*f - 46*f**3 + 12*f + 24*f**3 + 18*f**3.
-4*(f - 2)*(f + 1)**2
Let x = 3512 + -3512. Let n(i) be the first derivative of 2 - 8/3*i**3 - 2/5*i**5 + x*i + 0*i**2 - 2*i**4. Factor n(w).
-2*w**2*(w + 2)**2
Factor 5/3*i**2 + 125/3*i + 110.
5*(i + 3)*(i + 22)/3
Let n(u) be the third derivative of 0*u + 11/60*u**4 + 2/5*u**3 - 22/75*u**5 + 31/300*u**6 + 0 - 84*u**2 - 4/525*u**7. Find a, given that n(a) = 0.
-1/4, 1, 6
Let m be (50/2 - 9) + -6. Let n be (2/28*-2)/(m/(-90)). Factor 18/7*b + 0 - n*b**3 - 3*b**2.
-3*b*(b + 3)*(3*b - 2)/7
Let s(c) be the first derivative of -5*c**4/12 + 110*c**3/3 - 1210*c**2 + 146*c + 129. Let l(u) be the first derivative of s(u). Factor l(d).
-5*(d - 22)**2
Let g(x) be the third derivative of 1/60*x**6 + 0*x**4 + 7*x**2 + 0*x**3 + 5 + 0*x + 0*x**5 - 1/336*x**8 + 1/210*x**7. Let g(q) = 0. Calculate q.
-1, 0, 2
Factor 1764/5*c - 1158/5*c**2 + 2/5*c**4 + 0 + 184/5*c**3.
2*c*(c - 3)**2*(c + 98)/5
Let w(j) be the second derivative of 0 - 5*j**2 - 1/2*j**3 + 1/2*j**4 - 163*j - 1/20*j**5. Find i, given that w(i) = 0.
-1, 2, 5
Suppose 2*w = 3*w + 3, 4*r + 2*w + 198 = 0. Let o be ((-20)/36)/(7 + 376/r). Solve -2*y - 4/3 - o*y**2 = 0 for y.
-2, -1
What is w in 34*w + 24 + 53/3*w**2 + 4*w**3 + 1/3*w**4 = 0?
-4, -3, -2
Let v be (-6)/(-4) - ((-36)/(-8))/(-9). Let z be ((-52)/(-6))/(4/6). Factor 15*m + 7*m**v + 4 + 2*m**2 - 15*m**3 - z.
-3*(m - 1)*(m + 1)*(5*m - 3)
Let d(k) be the third derivative of -k**5/30 - 41*k**4/2 - 5043*k**3 - 577*k**2. Factor d(x).
-2*(x + 123)**2
Factor -657/5 - 79/5*j**2 - 1/5*j**3 - 447/5*j.
-(j + 3)**2*(j + 73)/5
Let y(k) be the second derivative of -k**8/3360 + k**7/252 - k**6/60 - k**4/6 - 5*k**2/2 + 18*k - 1. Let s(m) be the third derivative of y(m). Factor s(w).
-2*w*(w - 3)*(w - 2)
Let g(s) = -7*s**4 - 12*s**3 - 20*s**2 + 43*s + 72. Let d(l) = -6*l**4 - 12*l**3 - 18*l**2 + 44*l + 72. Let w(r) = -5*d(r) + 4*g(r). Factor w(i).
2*(i - 2)*(i + 2)*(i + 3)**2
Let i(t) be the second derivative of -t**4/102 - 13*t**3/51 - 42*t**2/17 - 276*t. Factor i(y).
-2*(y + 6)*(y + 7)/17
Let n(l) be the second derivative of 0 + 0*l**2 + 0*l**5 + 9*l + 1/24*l**4 - 13/6*l**3 - 1/360*l**6. Let p(q) be the second derivative of n(q). Factor p(a).
-(a - 1)*(a + 1)
Suppose 7*z - 2512 + 2498 = 0. Let n(t) be the first derivative of 8*t**3 - 1 - 22/15*t**5 - 1/9*t**6 + 0*t - 4*t**4 + 0*t**z. Suppose n(k) = 0. What is k?
-6, 0, 1
Let q(y) be the first derivative of -4*y**5/5 + 12*y**4 - 172*y**3/3 + 120*y**2 - 112*y + 2442. What is i in q(i) = 0?
1, 2, 7
Suppose 3*y = -3*x - 510, -y + 2*x = y + 344. Let p be (-13718)/y + 7/9 + -1. Let p*m**3 - 79*m**3 - 3*m**2 + m**4 + m**2 = 0. Calculate m.
-2, 0, 1
Suppose 5*b = -4*x + 138, -5*x + 153 = 5*b - 6*x. Let r be 0/(5/(b/(-12))). Solve 0*i + 0 - 3/2*i**5 - 3/2*i**4 + 0*i**3 + r*i**2 = 0 for i.
-1, 0
Let z(j) be the first derivative of j**3/6 - 23*j**2/4 - 70*j + 1767. Factor z(g).
(g - 28)*(g + 5)/2
Let s(d) be the first derivative of 4*d**3/15 + 74*d**2 + 736*d/5 - 1226. What is v in s(v) = 0?
-184, -1
Let l = 711 + -672. Suppose 7*p + 96 = l*p. Solve -3/5*v**p + 0 - 1/5*v**5 + 1/5*v**2 + 0*v + 3/5*v**4 = 0 for v.
0, 1
Let o(z) be the first derivative of -3*z**4/7 - 2*z**3/3 + 4*z**2/7 + 10*z/7 + 295. Factor o(h).
-2*(h + 1)**2*(6*h - 5)/7
Let m(d) be the third derivative of -1/6*d**4 + 0*d**3 - 1/15*d**5 + 0 - 1/120*d**6 - 6*d - 3*d**2. Factor m(a).
-a*(a + 2)**2
Let v = -5/71471 - -214433/285884. Solve v*t**3 - 1029/4 + 441/4*t - 63/4*t**2 = 0.
7
Factor -11839 - 3220*t**2 + 319 + 88*t**4 - 273*t**4 + 14528*t + 214*t**3 + 103*t**4 + 80*t**4.
-2*(t - 90)*(t - 8)**2*(t - 1)
Factor -630 + 1/2*a**2 + 58*a.
(a - 10)*(a + 126)/2
Let t(d) be the second derivative of 1/3*d**4 - 1/150*d**6 - 3/100*d**5 + 8/5*d**3 + 2*d - 4 - 32/5*d**2. Factor t(v).
-(v - 4)*(v - 1)*(v + 4)**2/5
Let -1500*o**2 - 17*o**3 - 145*o**3 - 3*o**4 - 5000*o + 12*o**3 - 2*o**4 = 0. Calculate o.
-10, 0
Let f = -888 + 314. Let u = 574 + f. Factor u + 6/5*d - 2/5*d**2.
-2*d*(d - 3)/5
Suppose 387/4*c - 3/4*c**2 + 0 = 0. Calculate c.
0, 129
Factor 1086 + 9*g**5 - 15*g**4 - 10*g**5 - 250*g**3 - 22*g**4 - 469*g - 538*g**2 - 1231.
-(g + 1)**3*(g + 5)*(g + 29)
Let h(d) be the third derivative of d**5/15 - 61*d**4/2 - 368*d**3/3 - 217*d**2 - 4. Factor h(j).
4*(j - 184)*(j + 1)
Let v(c) be the third derivative of c**6/540 - c**5/45 - 7*c**4/108 + 1103*c**2. Determine y so that v(y) = 0.
-1, 0, 7
Determine c so that 0 - 248/13*c**3 - 720/13*c - 2/13*c**4 - 966/13*c**2 = 0.
-120, -3, -1, 0
Let s(t) be the third derivative of t**8/3080 + t**7/770 - 2*t**6/165 - 11*t**3/3 + 2*t**2 - 10. Let f(z) be the first derivative of s(z). Factor f(j).
6*j**2*(j - 2)*(j + 4)/11
Let p(i) = -i**2 + 9*i - 32. Let m be p(7). Let k be 5 - (6/(-27) + (-22)/m). Factor 2*r - 5*r**k - 25 + 56*r + 5 + 35*r**3 + 7*r - 75*r**2.
-5*(r - 4)*(r - 1)**3
Let v(j) be the second derivative of 199/120*j**5 + 7/18*j**6 + 0*j**2 - j + 1/3*j**3 - 7/36*j**7 + 23/18*j**4 + 0. Determine g, given that v(g) = 0.
-1, -2/7, 0, 3
Let y = -242 - -260. Suppose -y*m**2 - 9*m - 12*m - 2*m**4 + 10*m**3 + 4*m**2 + 27*m = 0. Calculate m.
0, 1, 3
Let h(d) be the second derivative of -3/2*d**2 + 18*d + 1/3*d**3 - 7/12*d**4 + 49/120*d**5 + 0. Let b(y) be the first derivative of h(y). Solve b(q) = 0 for q.
2/7
Let d = 382 + -352. Let w be (-4)/(-24) - (-5 - (-155)/d). Find t, given that w - 5/3*t**2 + 1/3*t**3 + 0*t = 0.
0, 5
Let h(l) = 334 - 1011 + 284 + 2*l**2 - 17*l + 338. Let k be h(11). Determine u so that k + 3/7*u**4 - 1/7*u**5 - 3/7*u**2 + 1/7*u**3 + 0*u = 0.
-1, 0, 1, 3
Let z(c) = 6*c**2 + 1659*c - 861. Let x(b) = -3*b - 1. Let m(k) = -12*x(k) + z(k). Let m(p) = 0. Calculate p.
-283, 1/2
Let y(m) be the third derivative of -m**8/21 + 74*m**7/35 - 62*m**6/3 + 378*m**5/5 - 72*m**4 - 126*m**3 - 1039*m**2. Determine k, given that y(k) = 0.
-1/4, 1, 3, 21
Suppose 45*p + 44*p + 11