6/3*d = 0.
-2, -1, 2/7, 1
Let w(b) be the third derivative of -b**6/40 - 1071*b**5/4 - 9558675*b**4/8 - 5687411625*b**3/2 + 6606*b**2. Factor w(g).
-3*(g + 1785)**3
Let p(y) be the second derivative of 3*y**5/100 - 7*y**4/10 - 138*y**3/5 - 1404*y**2/5 + 202*y. Suppose p(u) = 0. Calculate u.
-6, 26
Let a = -58/2583 + 44143/10332. Determine c so that -a*c - 1/4*c**2 - 15/2 = 0.
-15, -2
Suppose -2744 + 1234 + 144*z - 4*z**2 + 614 = 0. What is z?
8, 28
Suppose 2*i + 10 + 9 = 3*z, -3*i - 21 = -3*z. Factor 7*u + z*u - 2*u + 15*u**2 + 5*u**3 + 0*u.
5*u*(u + 1)*(u + 2)
Let x(f) be the first derivative of -44*f**5 + 235*f**4/4 + 380*f**3/3 + 30*f**2 + 3535. Let x(g) = 0. Calculate g.
-3/4, -2/11, 0, 2
Let c(u) be the second derivative of -5*u**4/12 - 785*u**3/3 + 1575*u**2/2 - 272*u - 2. Factor c(j).
-5*(j - 1)*(j + 315)
Suppose -5*t + 4*f + 34 - 6 = 0, 3*t - f = 14. Suppose -r - 9 = -2*v, -3*r - 57 = -t*v - 34. Factor 3/7*j**v - 3*j + 0.
3*j*(j - 7)/7
Let f(h) be the second derivative of h**7/147 + 74*h**6/105 + 1291*h**5/70 - 1481*h**4/21 - 1292*h**3/21 + 2888*h**2/7 + 10*h - 22. Let f(j) = 0. Calculate j.
-38, -1, 1, 2
Let i(n) = -n**3 + 21*n**2 - 373*n + 5742. Let f be i(18). What is r in -9/5*r**5 + 6/5*r**4 + 63/5*r**3 + f + 12/5*r**2 - 36/5*r = 0?
-2, -1, 0, 2/3, 3
Let j(t) be the second derivative of 1/90*t**6 + 1 + 0*t**5 - 1/18*t**4 - 46*t + 0*t**3 + 1/6*t**2. Factor j(c).
(c - 1)**2*(c + 1)**2/3
Let r(j) be the first derivative of 1/18*j**4 + 4/9*j**3 + 0*j + 15/2*j**2 + 1/360*j**5 - 13. Let y(l) be the second derivative of r(l). Factor y(i).
(i + 4)**2/6
Let y(l) be the third derivative of -l**5/120 + 43*l**4/24 + 4*l**2 - 204. Factor y(j).
-j*(j - 86)/2
Let q(j) be the third derivative of 0 + 1/90*j**5 - 42*j**2 - 1/9*j**4 + 0*j - 5/9*j**3. Suppose q(h) = 0. What is h?
-1, 5
Factor 0 + 0*v - 21*v**4 + 0*v**3 - 1/12*v**5 + 0*v**2.
-v**4*(v + 252)/12
Let i be 26/247 - (-1080333)/(-1197). Let t = i - -903. Factor 0*q**2 - 4/7*q**4 - 8/7*q**3 + t + 8/7*q.
-4*(q - 1)*(q + 1)**3/7
Solve 8/3*w + 64/3 - 16/3*w**2 - 2/3*w**3 = 0 for w.
-8, -2, 2
Find g such that -216*g - 144 - 2/9*g**5 - 34*g**3 - 124*g**2 - 40/9*g**4 = 0.
-6, -3, -2
Suppose 3*y + 3*b = -6, -4*b = 2*y - 13 + 27. Let 2*t**y + 0*t - 12/7*t**2 + 0 - 4/7*t**4 = 0. Calculate t.
0, 3/2, 2
Let w(a) be the second derivative of 5*a**4/12 - 155*a**3/3 - 6480*a. Determine i, given that w(i) = 0.
0, 62
Let g(a) be the second derivative of -a**5/20 - 31*a**4/12 - 271*a**3/6 - 561*a**2/2 - 2244*a. Factor g(k).
-(k + 3)*(k + 11)*(k + 17)
Let g(s) be the third derivative of -s**7/630 + 4*s**6/15 - 527*s**5/30 + 4805*s**4/9 - 29791*s**3/6 - 2*s**2 - 490. Suppose g(u) = 0. Calculate u.
3, 31
Suppose -4*r + 108 = 5*r. Factor 23*a**3 + 10 - r*a**3 - 12*a**3 - 4*a**2 + 7*a.
-(a - 2)*(a + 1)*(a + 5)
Let m(w) be the first derivative of -14/9*w**3 - 200/9*w - 1/18*w**4 - 40/3*w**2 + 86. Solve m(n) = 0 for n.
-10, -1
Let h = -1966991/4 + 491779. Suppose -h - 5/4*p**2 + 25/2*p = 0. What is p?
5
Let k(f) be the first derivative of 0*f - 5/6*f**4 - 18*f**2 + 8/3*f**3 - 1/10*f**5 - 9. Let j(s) be the second derivative of k(s). Factor j(l).
-2*(l + 4)*(3*l - 2)
Suppose -2936 = -12*k - 1052. Factor -k*d**3 - 40*d**2 - 165*d**3 - 157*d**3 + 72*d + 481*d**3.
2*d*(d - 18)*(d - 2)
Suppose 5 = -4*q + 69. Let h = -11 + q. Factor 8*f**3 - 21*f**3 + h*f**5 + 3*f**3 + 5*f.
5*f*(f - 1)**2*(f + 1)**2
Let w be 15/5 + -6 - (-322)/110. Let u = 63/110 + w. Factor 1/4*n**3 + n**2 + 5/4*n + u.
(n + 1)**2*(n + 2)/4
Suppose 0 = -i + 5*a + 9, -a - 48 = -3*i + 49. Solve 3 - 2*s + 0 - 33*s**2 + i*s**2 + 6*s = 0 for s.
-3, -1
Factor 43*r + 77*r + 2054*r**2 + 39*r**3 - 41*r - 2198*r**2 - 3*r**4 + 29*r.
-3*r*(r - 6)**2*(r - 1)
Let w(n) be the second derivative of 1 - 13/6*n**2 - 1/18*n**3 + 1/60*n**5 + 7*n + 13/36*n**4. Suppose w(g) = 0. What is g?
-13, -1, 1
Let a = 746/1251 + -52/139. Suppose 7*q - q = 5*q. Factor 0*c**2 + a*c**5 + 0*c + q + 0*c**4 - 2/9*c**3.
2*c**3*(c - 1)*(c + 1)/9
Suppose -2*a**2 - 24/7 + 40/7*a + 2/7*a**4 - 4/7*a**3 = 0. What is a?
-3, 1, 2
Suppose 2422 + 12 = 63*p - 1976. Let q(n) be the first derivative of -7 - 35/3*n**3 + 60*n + 25/4*n**4 - p*n**2. Factor q(h).
5*(h - 3)*(h + 2)*(5*h - 2)
Let x(p) = -2*p**2 + 53*p - 3. Let w(i) = -8*i**2 + 213*i - 13. Let o be ((-31)/(-62))/((-1)/(-52)). Let h(d) = o*x(d) - 6*w(d). Factor h(y).
-4*y*(y - 25)
Let q(f) = f**3 + 20*f**2 + 4*f + 17. Let z be q(-20). Let t = z + 71. Factor 8*g**2 - 347 - t*g**4 - 4*g**5 + 347 + 4*g.
-4*g*(g - 1)*(g + 1)**3
Find r, given that -1585*r - 45*r**2 + 37*r**2 - 1975*r + 13*r**2 + 633680 = 0.
356
Let 39/5*y**2 - 939/5*y + 3/5*y**3 - 195 = 0. What is y?
-25, -1, 13
Suppose l = -3*n - 1, l = 5*n - 2*n + 5. Factor 115*k**2 - 59*k**l - 52*k**2 - 32*k + 28.
4*(k - 7)*(k - 1)
Let p(j) be the second derivative of j**5/5 + 47*j**4 - 190*j**3 + 286*j**2 + 276*j. Let p(u) = 0. What is u?
-143, 1
Solve -39/8*c + 0 + 3/8*c**2 = 0.
0, 13
Let d(u) be the third derivative of -16/15*u**5 + 29/6*u**4 - 28/3*u**3 + 51*u**2 + 0*u + 1/30*u**6 + 0. Factor d(c).
4*(c - 14)*(c - 1)**2
Find v such that -32*v**2 - 148*v**4 - 27*v**3 + 153*v**5 - 137*v**3 - 169*v**5 = 0.
-8, -1, -1/4, 0
Let b(o) = -o**2 + 3. Let s be b(0). Let h = -1692 - -1695. Find p such that s - 9*p + 2 + 4*p**h - 7*p**3 + 9*p**2 - 2 = 0.
1
Let s(t) be the third derivative of 0*t + 7/3*t**3 + 0 + 1/270*t**6 + 4*t**2 + 2/9*t**4 + 1/18*t**5. Let u(o) be the first derivative of s(o). Factor u(c).
4*(c + 1)*(c + 4)/3
Let h = -164276/207 - -18258/23. Solve 28/3*r + 98 + h*r**2 = 0 for r.
-21
Let o = 174020/13 + -13386. What is u in -14/13*u + o*u**2 + 24/13 = 0?
3, 4
What is x in 2/19*x**2 + 58/19*x - 340/19 = 0?
-34, 5
Let w(y) = -14884*y**3 - 29036*y**2 + 1473*y + 27. Let t(i) = -14884*i**3 - 29036*i**2 + 1471*i + 22. Let x(f) = -9*t(f) + 8*w(f). Let x(h) = 0. Calculate h.
-2, 3/122
Let t = 19 + -15. Suppose 0 = c - 4*x + 4, -x = 4*c - t*x - 23. Suppose 0*o + 2*o**3 + 8*o + 8*o + c + 10*o**2 = 0. Calculate o.
-2, -1
Let z(r) be the first derivative of -3*r**7/28 - 2*r**6/5 - 21*r**5/40 - r**4/4 + 77*r + 1. Let a(k) be the first derivative of z(k). Let a(v) = 0. Calculate v.
-1, -2/3, 0
Factor -3193*z + 1724*z + 4*z**2 - 715 + 1621*z - 341.
4*(z - 6)*(z + 44)
Suppose 429*b + 569 - 2143 = -358*b. Find j such that -2/7 + 4/7*j - 2/7*j**b = 0.
1
Let s(n) = 3*n**2 + n + 32. Let o be s(-6). Let z = o + -134. Suppose 1/6*g**5 - 1/6*g**3 - 1/3*g**4 + 0 + 1/3*g**2 + z*g = 0. Calculate g.
-1, 0, 1, 2
Suppose -984*v = -654 - 1053 - 261. Find m, given that 2*m + 12/7 + 2/7*m**v = 0.
-6, -1
Let o(c) = -95*c**2 + 304*c - 67. Let d(f) = -32*f**2 + 102*f - 21. Let h(a) = 10*d(a) - 3*o(a). What is z in h(z) = 0?
3/35, 3
Let i be 0 - (-5)/(-5) - -54. Let k = i + -33. Factor k*j + 10 - 4*j**4 - 7 - 4*j**3 + 12*j**2 + 5.
-4*(j - 2)*(j + 1)**3
Suppose 387*u + 183 = 390*u. Factor -18*a**2 + 3*a**3 - 29*a - 37*a - 16*a + u*a.
3*a*(a - 7)*(a + 1)
Let x(h) be the third derivative of 43/360*h**6 - 2/3*h**3 + 2/45*h**7 - 11/9*h**4 + 0 + 72*h**2 - 151/180*h**5 - h. Solve x(m) = 0 for m.
-3, -2/7, -1/4, 2
Let x be -211 - -198 - (0 + -13 - 4). Factor 1/5*v**x + 0*v + 0*v**3 + 0 - 1/5*v**2.
v**2*(v - 1)*(v + 1)/5
Solve 8/9*r**2 + 220/3 - 2642/9*r = 0 for r.
1/4, 330
Suppose -2*h + 10 = 2*r, -4*r + 18 = 191*h - 188*h. Let b(n) be the first derivative of -2/35*n**5 - 8/7*n + 3/7*n**4 - 26/21*n**r + 1 + 12/7*n**2. Factor b(g).
-2*(g - 2)**2*(g - 1)**2/7
Suppose -4*f = 5*w - 14, -w + 5*w - 4*f = 4. Let b = 1042920 - 3128759/3. Factor -27*p**3 + b + 33*p**w - 19/3*p.
-(p - 1)*(9*p - 1)**2/3
Let n = 235633/16 - 14727. Let w(u) be the second derivative of -5/24*u**4 - n*u**5 + 5 + 2*u - 5/24*u**3 + 0*u**2. Factor w(m).
-5*m*(m + 1)**2/4
Let k(p) = -10*p**3 + 40*p**2 + 115*p - 900. Let r(f) be the second derivative of f**5/20 - f**4/12 + f**3/6 - f - 2. Let w(c) = -k(c) - 5*r(c). Factor w(n).
5*(n - 6)**2*(n + 5)
Let d(o) be the second derivative of 4*o**6/285 - 5451*o**5/190 - 1367*o**4/114 + 1817*o**3/19 + 1363*o**2/19 + 9*o - 303. Let d(z) = 0. Calculate z.
-1, -1/4, 1, 1363
Let c(k) be the second derivative of k**5/4 - 70*k**4 - 570*k**3 - 1720*k**2 + 40*k - 16. Suppose c(j) = 0. Calculate j.
-2, 172
Factor -1/4*i**3 + 271/2*i