u + 10/9*u**3 - 1/3*u**2 + 104 + 1/6*u**4. Determine k, given that l(k) = 0.
-5, -1, 1
Let z(p) be the second derivative of 5/6*p**3 + 0 - 106*p + 15/2*p**6 - 45/14*p**7 - 35/6*p**4 + 5/2*p**2 - 3/2*p**5. Solve z(v) = 0 for v.
-1/3, 1/3, 1
Factor 2/5*o**2 + 482162/5 - 1964/5*o.
2*(o - 491)**2/5
Let f(r) be the first derivative of -r**7/1260 + r**6/180 - r**5/72 + r**4/72 - 31*r**2 + 56. Let m(x) be the second derivative of f(x). Factor m(b).
-b*(b - 2)*(b - 1)**2/6
Let r(m) be the first derivative of -3*m**4/4 + m**3 + 48*m**2 - 180*m - 3342. Factor r(x).
-3*(x - 5)*(x - 2)*(x + 6)
Let k = -1259 + 2045. Let m = -786 + k. Factor -2/7*x**3 + 0 + 0*x**2 + m*x.
-2*x**3/7
Let u(q) be the second derivative of q**5/110 - 31*q**4/66 + 37*q**3/11 - 81*q**2/11 + 667*q. Factor u(v).
2*(v - 27)*(v - 3)*(v - 1)/11
Let g(j) = -5*j**2 + 2*j + 8. Let f be g(9). Let q = f - -382. Factor 0*w + 3/4*w**4 + 0 + 3/4*w**2 - 3/2*w**q.
3*w**2*(w - 1)**2/4
Let k = -14279 - -14281. Suppose -27/4*j**k - 1/4*j**4 - 9/4*j**3 - 27/4*j + 0 = 0. Calculate j.
-3, 0
Let a(o) be the second derivative of o**4/20 - 1156*o**3/5 + 2004504*o**2/5 - 2837*o. Let a(r) = 0. Calculate r.
1156
Suppose 320 = 26*u - 16*u. Let l = u + -32. Factor 2/3*q + 2/9*q**2 + l.
2*q*(q + 3)/9
Let v(m) be the first derivative of -m**4/2 + 64*m**3/3 + 275*m**2 - 22500*m - 729. Determine r, given that v(r) = 0.
-18, 25
Let g(j) be the first derivative of -49*j**6/3 + 1106*j**5/5 - 1807*j**4/2 + 5198*j**3/3 - 1744*j**2 + 896*j - 1250. Find h such that g(h) = 0.
1, 8/7, 7
Determine x so that -48*x**2 + 9732*x + 44*x**2 - 7448*x = 0.
0, 571
Factor -39/7*s**2 + 895/7*s + 46/7.
-(s - 23)*(39*s + 2)/7
Let m(u) be the first derivative of u**3/3 - u**2/2 - 6*u - 3632. Suppose m(r) = 0. Calculate r.
-2, 3
Determine w, given that 2*w**4 + 2*w**4 + 6*w**3 + 2*w - 17*w**2 - 2*w**4 + 23*w**2 = 0.
-1, 0
Let g(p) be the first derivative of -p**5/5 - 15*p**4/4 - 13*p**3 + 55*p**2/2 + 1115. Determine b so that g(b) = 0.
-11, -5, 0, 1
Let u(w) = 2*w**3 - 28*w**2 + w - 12. Suppose -7*p - 196 = -21*p. Let i be u(p). Find l, given that -5/2 + 5/2*l**i + 0*l = 0.
-1, 1
Let s(k) be the second derivative of -k**7/17640 + k**6/1680 - 7*k**4/6 - 46*k + 1. Let w(r) be the third derivative of s(r). Let w(v) = 0. What is v?
0, 3
Let k(u) be the third derivative of -u**7/420 + 13*u**6/240 - 47*u**5/120 + 35*u**4/48 - 2*u**2 - 123*u. Factor k(t).
-t*(t - 7)*(t - 5)*(t - 1)/2
Let o(p) be the second derivative of p**3 - 1/6*p**4 - 2*p**2 + 36*p + 2. Factor o(v).
-2*(v - 2)*(v - 1)
Let p = 1473 + -1473. Let h(d) be the first derivative of -1/9*d + p*d**2 + 1/27*d**3 + 22. Solve h(s) = 0.
-1, 1
Let b(p) = -p**3 - 4*p**2 - 4*p - 1. Suppose 2 = k + s + 4, -4*k - 2*s = 10. Let v be b(k). Suppose a**2 - 2*a + 10*a - a**2 + 4*a**v + 4 = 0. What is a?
-1
Let x(p) be the first derivative of p**4/2 + 956*p**3/21 - 844*p**2/7 - 80*p + 8625. Factor x(v).
2*(v - 2)*(v + 70)*(7*v + 2)/7
Let t be (22 - 20)*2*1. Suppose -37 = -t*s - 29. Solve 41*l**2 - 4*l**5 + 9*l**3 + 3*l**4 - 6*l - 44*l**s + l**5 = 0 for l.
-1, 0, 1, 2
Let w(g) be the second derivative of -g**5/20 - g**4 - 8*g**3/3 + 21*g**2 - 46*g. Let y be w(-10). Solve -1/6*t**4 + 2/3*t**y + 1/6*t**3 + 0 - 2/3*t = 0 for t.
-2, 0, 1, 2
Let t(l) = l**2 + 29*l - 78. Let w be t(-32). Suppose -w*g = -24*g. Factor -38/15*c**2 - 14/15*c**3 + g + 4/5*c.
-2*c*(c + 3)*(7*c - 2)/15
Let z(y) = -19*y - 282. Let d be z(-15). Suppose -8*f**3 + 6*f**3 + 5*f**2 - 22*f**2 + 7*f**d - 10*f**3 = 0. Calculate f.
-17/5, 0
Suppose 43813 = -38*r - 39*r. Let f = 573 + r. Find m, given that 0 + 11/2*m**f + m**3 - 11/2*m**2 - m = 0.
-1, -2/11, 0, 1
Let t(o) be the first derivative of -131 - 13*o - 15/4*o**2 - 1/6*o**3. Determine s, given that t(s) = 0.
-13, -2
Let b be (-47 - 9)/(-1 - 1). Factor 37*s - 9*s - 24*s + 4*s**2 - b*s + 36.
4*(s - 3)**2
Let o(d) be the second derivative of -d**6/135 + 37*d**5/45 + 229*d**4/54 + 154*d**3/27 - 1753*d. Determine k, given that o(k) = 0.
-2, -1, 0, 77
Let 1763 - 360*l - 112*l + 4*l**2 - 1295 = 0. What is l?
1, 117
Let z = -1797/5 + 360. Let g = 13/15 - z. Solve -g*w + 2/15*w**2 + 0 = 0 for w.
0, 2
Let j(a) be the third derivative of -1/40*a**6 - 2*a**2 - 2/7*a**3 + 0*a - 3/28*a**5 - 13/56*a**4 - 1/490*a**7 - 59. Suppose j(k) = 0. What is k?
-4, -1
Suppose 8930*w - 11706*w = -8328. Find q, given that 28/5*q**2 - w + 3/5*q**4 - 22/5*q**3 + 38/5*q = 0.
-1, 1/3, 3, 5
Let r(l) be the first derivative of 90 - l**2 - 115 + l**3 + 4*l**2. Let r(j) = 0. Calculate j.
-2, 0
Let 1634*q**3 + 139*q**2 + 416 - 435*q**2 - 72*q**4 - 240*q - 1350*q**3 + 4*q**5 = 0. What is q?
-1, 2, 13
Let d(v) = -204*v**2 - 1299*v - 342. Let q(t) = 29*t**2 + 186*t + 49. Let g(k) = 4*d(k) + 27*q(k). Factor g(o).
-3*(o + 5)*(11*o + 3)
Let r = -280149/2 - -140075. Let b be (5/10)/(1/1). Factor -u - r - b*u**2.
-(u + 1)**2/2
Let w(t) be the third derivative of t**8/756 - 34*t**7/945 + 43*t**6/270 + 241*t**5/135 + 140*t**4/27 + 200*t**3/27 + 3176*t**2. Factor w(u).
4*(u - 10)**2*(u + 1)**3/9
Let x be ((-34)/85)/(14/(-140)). Let h(p) be the second derivative of 0 - 25*p + 3/80*p**5 + 0*p**3 - 1/16*p**x + 0*p**2. Factor h(c).
3*c**2*(c - 1)/4
Let -2*r**2 - 12/17 + 2*r + 14/17*r**3 - 2/17*r**4 = 0. Calculate r.
1, 2, 3
Let l(z) = 3*z**2 + 27*z - 360. Let s(y) = -y + 3. Let u(g) = l(g) - 6*s(g). What is c in u(c) = 0?
-18, 7
Determine c so that -86/5*c + 224 + 1/5*c**2 = 0.
16, 70
Let u be 13 - (-7 - 986/(-51)). Let p(y) be the first derivative of -20 + u*y**3 - y**4 - 2/5*y**5 + 2*y**2 + 0*y. Factor p(s).
-2*s*(s - 1)*(s + 1)*(s + 2)
Let a(c) = -3*c**2 - 18*c - 33. Let r(h) = -1. Let u = 26 - 12. Suppose u*i - 12*i + 12 = 0. Let m(w) = i*r(w) + a(w). Find p such that m(p) = 0.
-3
Suppose 77*p - 27*p = -69*p. Let y(g) be the second derivative of 1 - 2/3*g**3 - 10*g + p*g**2 - 5/3*g**4 - 4/5*g**5. Factor y(b).
-4*b*(b + 1)*(4*b + 1)
Find x such that 654*x + 34*x**2 - 152*x**2 - 906 + 2*x**3 - 48 = 0.
3, 53
Let h be 18/27 + (-66)/(-9). Suppose 2*l = h*l - 18. Determine z, given that -9 - 6*z**2 + 9 + 2*z**l + 8*z**2 = 0.
-1, 0
Let v = 8793/10283 - -3/1469. Let q(d) be the first derivative of v*d**2 - 4 + 9/7*d + 1/7*d**3. Solve q(m) = 0 for m.
-3, -1
Let w be (5 + -1)/104*(-15 + 11)/(-1). Factor -88/13*f + w*f**2 + 968/13.
2*(f - 22)**2/13
Let g(x) be the second derivative of -x - 49 - 1/42*x**4 + 32/7*x**3 - 2304/7*x**2. Factor g(m).
-2*(m - 48)**2/7
Let t(g) = -22*g**3 - 80*g**2 + 16*g + 338. Let u(i) = 5*i**3 + 20*i**2 - 4*i - 84. Let k(y) = -10*t(y) - 45*u(y). Solve k(s) = 0.
-20, -2, 2
Suppose 0 = 83*i - 25*i - 4118. Suppose 59*n - i*n + 24 = 0. Let -3 - 1/3*r**n - 10/3*r = 0. What is r?
-9, -1
Suppose 7*k - 3*k - 5*x = -2, -k = 5*x - 12. Factor 6*i**2 - 22*i**2 - 75*i + 13*i**k + 8*i**2.
5*i*(i - 15)
Let n = 539675/472234 + 3/67462. What is h in -4/7 + n*h**3 + 3/7*h**4 + 1/7*h**2 - 8/7*h = 0?
-2, -1, -2/3, 1
Let b = 14 + -9. Let p = -1767 + 1771. Factor b*i**2 + 37*i**2 - 70*i**p - 6*i**2 - 20*i**3 + 8 + 74*i**4 - 28*i.
4*(i - 2)*(i - 1)**3
Let m(j) be the second derivative of j**5/180 + 2*j**4/9 - 17*j**3/18 + 29*j**2/2 + 108*j. Let w(l) be the first derivative of m(l). Solve w(i) = 0.
-17, 1
Find n, given that 0 + 718/9*n**3 + 0*n + 128881/9*n**2 + 1/9*n**4 = 0.
-359, 0
Let 14/13*y**2 - 6/13*y**4 - 2/13*y**5 - 8/13 + 2/13*y**3 + 0*y = 0. Calculate y.
-2, -1, 1
Let q(v) be the third derivative of -v**7/140 - 13*v**6/80 - 5*v**5/4 - 2*v**4 + 24*v**3 - 544*v**2. Find j such that q(j) = 0.
-6, -4, 1
Let r(c) be the first derivative of 2*c**3/51 - 473*c**2/17 + 944*c/17 - 3536. Factor r(x).
2*(x - 472)*(x - 1)/17
Suppose 6*u - 119 = -8*u - 77. Let g(f) be the second derivative of 2/3*f**4 + 3/2*f**2 - 1/5*f**5 + 11/6*f**u + 0 - 3*f. Suppose g(p) = 0. Calculate p.
-1/2, 3
Let j(c) be the third derivative of c**5/270 + 521*c**4/108 + 520*c**3/27 - 3*c**2 - 380*c. Factor j(h).
2*(h + 1)*(h + 520)/9
Let f be 21/(-14)*((-56180)/15)/1. What is x in -36 + f*x - 5*x**2 - 5558*x - 19 = 0?
1, 11
Let g(q) = -6*q**3 - 5*q**2 + 13*q - 22. Let l(u) = 5*u**3 + 4*u**2 - 11*u + 18. Let i(w) = 4*g(w) + 5*l(w). Let n be i(1). Factor n*h + 0 + 3/5*h**2.
3*h**2/5
Suppose -662*n + 1346 - 417 + 395 = 0. Solve 2/11*a**3 + 162/11*a + 0 + 36/11*a**