vative of -73*o - 15/8*o**2 - 5/48*o**4 + 0 - 5/6*o**3. Find n, given that q(n) = 0.
-3, -1
Suppose -7*l - 109 = -109. Let z(y) be the third derivative of l*y**3 - 1/50*y**5 + 0 - 1/60*y**4 - 14*y**2 - 1/100*y**6 + 0*y - 1/525*y**7. Factor z(a).
-2*a*(a + 1)**3/5
Determine k, given that -278/15*k**2 - 28/15*k**3 + 322/15*k - 88/15 = 0.
-11, 1/2, 4/7
Suppose -153*x - 148*x = -109*x. Let j(c) be the third derivative of 5*c**2 + x*c**4 + 0 + 2/105*c**7 + 0*c + 0*c**3 + 1/6*c**6 + 4/15*c**5. Factor j(q).
4*q**2*(q + 1)*(q + 4)
Solve -j**4 + 22791*j**2 + 54 + 8*j**3 - j**4 - 38*j - 22779*j**2 - 34*j = 0 for j.
-3, 1, 3
Let i be (-5)/40*(4105/375 - 11). Let u(z) be the second derivative of 0*z**2 + 0 - 33*z + 0*z**3 + i*z**5 + 0*z**4. Solve u(k) = 0 for k.
0
Let x(j) be the third derivative of -j**6/160 - 51*j**5/80 - 73*j**4/16 - 12*j**3 + 10*j**2 - 41. What is i in x(i) = 0?
-48, -2, -1
Let l(x) be the second derivative of x**6/270 + x**5/60 - x**4/27 + 1273*x. Solve l(r) = 0.
-4, 0, 1
Let w = -3 - -6. Solve 30*i**3 + 187*i**4 - 191*i**4 - 22*i**w + 16*i + 28*i**2 = 0 for i.
-1, 0, 4
Suppose -2*v - 22*v - 48 = -36*v. Find p such that -11/2 + 21/4*p**2 - 23/4*p + 1/4*p**v + 23/4*p**3 = 0.
-22, -1, 1
Let b(x) be the second derivative of -x**7/189 + 2462*x**6/135 - 67322*x**5/3 + 275682769*x**4/27 + 553387661*x**3/27 + 7452*x. Factor b(p).
-2*p*(p - 821)**3*(p + 1)/9
Let w(t) be the first derivative of 2*t**3/63 - 1628*t**2/7 + 3975576*t/7 - 6438. Suppose w(x) = 0. Calculate x.
2442
What is r in 82/7*r + 2/7*r**2 - 32/7*r**5 + 2 - 338/7*r**3 + 272/7*r**4 = 0?
-1/4, 1, 7
Let a = 5 + 0. Suppose -a*r = 8 - 18. Factor 26 + 5 - 10*p**3 + 36*p**r - 54*p + p**4 - 4.
(p - 3)**3*(p - 1)
Suppose j + 2*n = 7 - 0, 4*j - 5*n = 2. Suppose -3*m + 0*m - 4*i = -22993, -i + 22990 = j*m. Let -7663 + 5*o**2 - 10*o**4 + m + 5*o**3 = 0. Calculate o.
-1/2, 0, 1
Let y(m) be the third derivative of 0 + 2/15*m**5 + 1/18*m**4 - 1/90*m**6 + 2*m**2 - 4/3*m**3 + 13*m. Suppose y(t) = 0. Calculate t.
-1, 1, 6
Let x(u) be the third derivative of -1/280*u**7 + 0*u + 0 + 68*u**2 + 0*u**3 + 1/160*u**6 + 1/16*u**5 + 3/32*u**4. Factor x(j).
-3*j*(j - 3)*(j + 1)**2/4
Let b(r) = r**3 - 2*r**2 - 8*r + 3. Let l be b(4). Suppose -3*j = t - 5, -9 = -5*t + l*j - 2*j. Solve 72 + 2*z + 2*z**4 - t*z**3 + 68 - 6*z**2 - 136 = 0 for z.
-1, 1, 2
Suppose -o - 4*o = 2*o - o. Let f(t) be the second derivative of 2/45*t**6 + o*t**4 + 0*t**2 + 0*t**5 + 0 + 14*t - 13/63*t**7 + 0*t**3. Factor f(n).
-2*n**4*(13*n - 2)/3
Let q = 41272 + -41272. Solve 3/2*g**3 - 27/2*g**2 + 0 + q*g = 0.
0, 9
Suppose 3904 = 1177*h - 1185*h. Let a = -2438/5 - h. Find x, given that -a*x**2 + 0 - 8/5*x = 0.
-4, 0
Suppose 91*r = -1192*r. Suppose 0*j**4 + 0*j + 0 + 32/19*j**5 - 2/19*j**3 + r*j**2 = 0. What is j?
-1/4, 0, 1/4
Determine m so that -1464/11*m - 267912/11 - 2/11*m**2 = 0.
-366
Let i(l) be the third derivative of 3*l**7/280 + l**6/320 - 3*l**5/20 - l**4/16 - 922*l**2. Find v such that i(v) = 0.
-2, -1/6, 0, 2
Let k(n) be the second derivative of -n**5/45 + 10*n**4/27 + 154*n**3/9 - 15*n - 83. Factor k(t).
-4*t*(t - 21)*(t + 11)/9
Let d(o) be the third derivative of -o**2 + 0 + 13*o + 0*o**3 - 1/33*o**4 - 1/660*o**6 + 1/66*o**5. Factor d(z).
-2*z*(z - 4)*(z - 1)/11
Let z be (0 + 5)*(-1 - 14/(-10)). Suppose z*a + 3 = 7. Factor 8*t - 5 + 11 + 38*t**2 - 36*t**a.
2*(t + 1)*(t + 3)
Let p = 11653 + -23305/2. Let q(f) be the third derivative of 0*f**3 - 2/15*f**5 + 0*f + 5*f**2 + p*f**4 + 0. Find n such that q(n) = 0.
0, 3/2
Suppose 0 = 39*i + 59*i. Let p(v) be the third derivative of -2/735*v**7 + 0*v**4 + 0*v - 1/105*v**5 + 0*v**3 - 1/105*v**6 + i + 29*v**2. Solve p(z) = 0.
-1, 0
Suppose -66*k + 373 = -23. Let u(c) be the third derivative of 0 - 14*c**2 + 0*c + 1/160*c**k - 1/4*c**3 + 0*c**5 - 3/32*c**4. Factor u(p).
3*(p - 2)*(p + 1)**2/4
Let d(i) be the third derivative of i**5/15 + 11*i**4/12 + i**3 + 103*i**2. Let n(p) = 2*p. Let j(c) = 2*d(c) - 36*n(c). Let j(y) = 0. Calculate y.
1/2, 3
Let o(g) be the first derivative of -1/12*g**6 - 2*g**3 - 13/8*g**4 - 3/5*g**5 + 0*g - g**2 - 6. Solve o(f) = 0.
-2, -1, 0
Let h(x) be the second derivative of -1/90*x**5 + 11/27*x**3 - 2/27*x**4 + 0 - 2/3*x**2 - 147*x. Let h(s) = 0. What is s?
-6, 1
Suppose 9 - 141/4*l**2 + 99/4*l**3 - 15/4*l**5 - 39*l + 33/4*l**4 = 0. What is l?
-2, -1, 1/5, 2, 3
Let n(p) be the second derivative of -231*p - 11/2*p**3 + 1/28*p**4 - 117/7*p**2 + 0. Suppose n(c) = 0. What is c?
-1, 78
Suppose 207*d**3 + 14879*d**2 + d**4 - 596*d**2 + 278171*d + 50338*d = 0. Calculate d.
-69, 0
Let y(n) be the third derivative of -n**8/112 + 3*n**7/14 - 6*n**6/5 + 11*n**5/5 - 844*n**2. Find o such that y(o) = 0.
0, 2, 11
Let u(b) be the second derivative of -b**6/50 + 81*b**5/50 + 169*b**4/20 + 57*b**3/5 - 3092*b. Solve u(m) = 0 for m.
-2, -1, 0, 57
Let g = 742 + -728. Suppose 4*q + 16*q**3 - 6*q - g*q**3 = 0. Calculate q.
-1, 0, 1
Let a be 7/(-3) - 12/(-36). Let f = 3 + a. Let -4 - 2*s**3 + 2*s**4 + f + 3 = 0. What is s?
0, 1
Let y(q) be the first derivative of 3*q**4/4 - 17*q**3 - 126*q**2 + 1451. Factor y(h).
3*h*(h - 21)*(h + 4)
Let 238*s - 1380*s**2 - 212*s**4 + 494*s + 113*s + 820*s**3 - 170 + 52*s**4 = 0. What is s?
1/2, 2, 17/8
Factor 66*z**4 + 29624/3*z**2 - 2/3*z**5 + 0*z - 1840*z**3 + 0.
-2*z**2*(z - 46)**2*(z - 7)/3
Let t(z) be the second derivative of -z**6/210 + z**5/4 - 11*z**4/14 + 5612*z. Solve t(j) = 0 for j.
0, 2, 33
Let h = -37530 + 37533. Let a(o) be the first derivative of 1/15*o**h - 49 + 3/5*o - 2/5*o**2. Find f such that a(f) = 0.
1, 3
Let c = 1868519/2 - 934259. Factor 5*z + 0 - c*z**3 + 9/2*z**2.
-z*(z - 10)*(z + 1)/2
Let w = 62917/11802 + 9/3934. Let g(r) = 4*r**2 - 2*r. Let n be g(1). Factor n + 10/3*y**2 + w*y.
2*(y + 1)*(5*y + 3)/3
Let j(s) = 30*s - 178. Let l be j(6). Solve l*u**5 + 2*u**3 + 3*u**4 - 35*u**2 - 10*u**4 + 42*u**2 - 3*u**5 - u**3 = 0.
-7, -1, 0, 1
Let 9*r**4 + 84*r**2 - 58*r + 41*r + r - 56*r**3 = 0. Calculate r.
0, 2/9, 2, 4
Suppose 62/3*m**4 + 16/9*m - 172/9*m**3 + 0 + 8/3*m**2 - 6*m**5 = 0. Calculate m.
-2/9, 0, 2/3, 1, 2
Let r(f) be the second derivative of f**6/80 + 237*f**5/80 - 807*f**4/32 + 325*f**3/4 - 489*f**2/4 - 2*f + 1047. Find c such that r(c) = 0.
-163, 1, 2
Determine q so that -2/9*q**5 - 42658/3*q**3 + 133128 + 1022/9*q**4 - 45408*q - 73614*q**2 = 0.
-3, 1, 258
Let o(b) be the third derivative of b**8/112 + 19*b**7/35 + 9*b**6/5 - b**5/10 - 73*b**4/8 - 18*b**3 + 517*b**2 - 1. Factor o(n).
3*(n - 1)*(n + 1)**3*(n + 36)
Factor 0*t**2 - 1/5*t**5 + 731/5*t**3 + 0*t + 26/5*t**4 + 0.
-t**3*(t - 43)*(t + 17)/5
Let v(a) = -145*a - 1303. Let j be v(-9). Let b(n) be the first derivative of 0*n**2 + 0*n**3 - j*n**4 + 10/3*n**6 - 12/5*n**5 - 22 + 0*n. Factor b(x).
4*x**3*(x - 1)*(5*x + 2)
Let r(s) be the first derivative of 2/9*s - 76 + 2/9*s**3 - 1/3*s**2 - 1/18*s**4. Factor r(w).
-2*(w - 1)**3/9
Let v be (24/(-20) - 0)/((-15056)/159970). Find d, given that -51/4*d - 3/4*d**4 - 27/2 + 57/4*d**2 + v*d**3 = 0.
-1, 1, 18
Factor 0*l**3 + 153710*l + 17 + 87*l**2 - 153458*l - 77 - 27*l**3.
-3*(l - 5)*(l + 2)*(9*l - 2)
Let h(q) = 6*q + 10. Let p be h(8). Let t = p - 33. Factor 5*m - t*m**2 + 51*m**2 + 1 - 22*m**2.
(m + 1)*(4*m + 1)
Suppose 2*m - 11501 + 11473 = -p, -4*m = p - 54. Factor -1/5*g**p - 14/5 - 3*g.
-(g + 1)*(g + 14)/5
Let x = 304/187 + -959/935. Let -x*l**2 - 3/5*l + 6/5 = 0. What is l?
-2, 1
Suppose 2*g - 19 = 5*k, -2*g - k - 7 = -4*g. Determine z, given that -278*z - 8*z**3 - 82*z**g + 33 - 11 + 346*z = 0.
-11, -1/4, 1
Find u such that 0 + 0*u - 10/9*u**4 - 2/9*u**5 - 16/9*u**3 - 8/9*u**2 = 0.
-2, -1, 0
Let o(c) be the second derivative of c**5/4 - 3*c**4/4 - c**3/3 - c + 70. Factor o(z).
z*(z - 2)*(5*z + 1)
Let a = -1994466 + 1994468. Factor 0 + 2/3*c**a + 4/3*c.
2*c*(c + 2)/3
Solve 0*j**2 - 345*j + 11268 - 13230 - 3*j**2 = 0.
-109, -6
What is g in -434/9 + 1/9*g**3 - 1/9*g + 434/9*g**2 = 0?
-434, -1, 1
Let j(c) be the third derivative of 1/144*c**4 + c**2 + 0*c - 1/360*c**5 + 17 + 0*c**3. Solve j(n) = 0 for n.
0, 1
Let s be (-5)/(450/12*86/(-430)). Let -9248/3 + 272/3*w - s*w**2 = 0. Calculate w.
68
Let p(r) be the first derivative of r**6/18 - 2*r**5 - 17*r**4/6 + 88*r**3/9 + 51*r**2/2 + 62*r/3 - 1166. Factor 