ative of -o**7/273 - o**6/39 + 20*o + 85. Let q(m) be the first derivative of v(m). Factor q(z).
-2*z**4*(z + 5)/13
Let s(p) be the first derivative of -p**5/30 + p**4 - 20*p**3/3 - p**2 + 59*p - 52. Let w(k) be the second derivative of s(k). Solve w(f) = 0.
2, 10
Suppose -t - 2*l = 5, -2 = -7*t + 2*t - l. Let f be t - (4 - (27/3 - 3)). Factor -71*w**4 + 4*w**2 + 4*w**2 - 13*w**4 - 4*w**f + 0*w**2.
-4*w**2*(3*w + 1)*(7*w - 2)
Let w(c) be the third derivative of -1/70*c**6 - 1/735*c**7 - 77*c**2 - 1/105*c**5 + 5/84*c**4 + 1/7*c**3 + 0 + 0*c + 1/1176*c**8. Factor w(x).
2*(x - 3)*(x - 1)*(x + 1)**3/7
Solve 2094*n - 82497*n**2 - 82495*n**2 - 365403 + 164989*n**2 = 0.
349
Let g be 2/(-2)*-6*(-2)/4. Let y be (2/g)/(5/(-15)). Determine b so that -9/5*b**y + 3/5*b + 2/5 = 0.
-1/3, 2/3
Factor 221*q**2 - 32*q**5 + 3*q**3 - 2*q - 21*q**3 + 33*q**5 - 241*q**2 - 4*q**4 - 5*q.
q*(q - 7)*(q + 1)**3
Let i(a) be the third derivative of -a**6/40 + a**5/4 + 22*a**4 + 10*a**2 + 66*a. Suppose i(w) = 0. Calculate w.
-11, 0, 16
Let d(v) be the second derivative of -v**6/60 + 13*v**5/15 + 3*v**4 + v**3/6 - 43*v**2/2 + v - 11. Let i(h) be the second derivative of d(h). Factor i(f).
-2*(f - 18)*(3*f + 2)
Let h(v) be the first derivative of 1/36*v**6 - 1/30*v**5 + 0*v + 1/18*v**3 + 13 - 1/24*v**4 + 0*v**2. What is k in h(k) = 0?
-1, 0, 1
Suppose -5*q - 51 = 2*o, -3*q - 32 + 6 = 7. Find a, given that 0 + 2*a + 2/3*a**o = 0.
-3, 0
Let b(d) be the third derivative of d**6/300 - 11*d**5/30 + 1606*d**2. Factor b(h).
2*h**2*(h - 55)/5
Let u = 85541/630 - 1222/9. Let y(j) be the third derivative of -1/2205*j**7 + 0*j**3 + 0 + 0*j**4 + 0*j - 1/630*j**6 - 27*j**2 - u*j**5. Factor y(o).
-2*o**2*(o + 1)**2/21
Let j(w) be the third derivative of -w**7/2100 + w**6/900 - 46*w**3/3 - 18*w**2. Let k(u) be the first derivative of j(u). Let k(h) = 0. Calculate h.
0, 1
Let i be ((-18)/2)/(-3) + -1. Suppose 24 = 3*z + t + 2*t, -i*z - 3*t = -20. Suppose 4*d**3 + z*d - 5*d**3 - 3*d**3 = 0. Calculate d.
-1, 0, 1
Let i(r) be the second derivative of r**5/60 - 35*r**4/18 + 1177*r**3/18 - 968*r**2 - 1870*r. Factor i(d).
(d - 48)*(d - 11)**2/3
Let f(g) be the second derivative of -g**6/90 + 203*g**5/60 - 397*g**4/12 + 197*g**3/2 - 8002*g. Suppose f(r) = 0. What is r?
0, 3, 197
Let o(w) be the third derivative of -w**6/180 + 31*w**5/45 + 575*w**2. Find x such that o(x) = 0.
0, 62
Let n(f) be the first derivative of f**6/15 - 22*f**5/25 - 4*f**4/5 + 392*f**3/15 + 448*f**2/5 + 512*f/5 - 6373. Suppose n(m) = 0. What is m?
-2, -1, 8
Let q(d) be the first derivative of -d**5/270 - 13*d**4/54 + 199*d**2/2 - 144. Let x(u) be the second derivative of q(u). Factor x(c).
-2*c*(c + 26)/9
Suppose 65*w = 71*w. Let n(i) be the third derivative of 0 + 0*i**3 + 2/21*i**7 + 4/15*i**5 - 2/5*i**6 + w*i + 0*i**4 - 11*i**2. Factor n(o).
4*o**2*(o - 2)*(5*o - 2)
Let z(k) be the first derivative of -k**5/15 - 19*k**4/12 - 49*k**3/9 + 53*k**2/2 - 30*k - 11610. Factor z(p).
-(p - 1)**2*(p + 6)*(p + 15)/3
Let o = 41/228 + 23/1140. Factor -4/5*y**3 + o*y**4 + 2*y - 3/5*y**2 + 8/5.
(y - 4)*(y - 2)*(y + 1)**2/5
Let m(a) be the first derivative of -1/40*a**5 + 0*a**3 - 3/16*a**4 - 65 + 0*a**2 + 0*a. Determine o, given that m(o) = 0.
-6, 0
Let p = 377 - 369. Let -257*r**2 - 9*r**5 + 249*r**2 + 4*r + 5*r**5 + p*r**4 = 0. What is r?
-1, 0, 1
Determine r so that 1185*r**2 - 20*r**5 - 794*r**2 - 160*r - 552*r**3 - 299*r**2 - 684*r**2 - 188*r**4 = 0.
-5, -2, -2/5, 0
Factor 507*b**2 - 4462 + 895*b + 53*b**2 + 4672.
5*(7*b + 2)*(16*b + 21)
Let k = -12 - -18. Let s(u) = 1. Let l(w) = w**3 - 2*w**2 + w + 6. Let f be ((-1)/(-2))/(25/(-50)). Let r(i) = f*l(i) + k*s(i). Factor r(o).
-o*(o - 1)**2
Let -462*c**2 - 99*c**3 + 83*c**3 + 5*c**4 - 36*c**3 - 3*c**4 = 0. What is c?
-7, 0, 33
Suppose 2331 = 2*r - 1197. Factor 2*b**2 - 16*b - r + 182*b + 2*b - 6*b**2.
-4*(b - 21)**2
Let m be -6*(-2)/(8 - 2). Factor 23*r**2 + 130*r - 28*r**m - 1125 + 86*r - 66*r.
-5*(r - 15)**2
Let d = 65/1129 - -3436221/7903. Let z = d + -434. Determine o so that 3/7*o + z*o**3 + 0 - 9/7*o**2 = 0.
0, 1/2, 1
Let t(i) be the first derivative of i**3/8 + 1065*i**2/16 - 267*i/2 - 8203. Solve t(p) = 0.
-356, 1
Let p(q) = q**2 - q - 3. Let b(d) = -10*d**2 + 4265*d + 903170. Let w(s) = b(s) + 15*p(s). Factor w(t).
5*(t + 425)**2
Let w(u) = 6*u + u**2 - 7 + 19 - 5. Let l be w(-5). Factor -2/7*n**l + 0 + 0*n.
-2*n**2/7
Let o(r) = -2*r**4 - 4*r**3 - r**2 + 3*r + 3. Let w(p) = -p**4 - p**3 + 1. Suppose 0 = 92*h - 104*h + 60. Let j(t) = h*o(t) - 5*w(t). Factor j(u).
-5*(u - 1)*(u + 1)**2*(u + 2)
Suppose 9*b - 8*b = -138. Let o be (-2)/7 + b/(-42). Find d such that d - 4*d - o*d**2 - 4*d - 5*d = 0.
-4, 0
Suppose -5*g - 240 = 4*i, 4*i - 7*i + 2*g = 180. Let f be (5/(25/4))/((-24)/i). Determine u so that 2/7*u**5 + 0 + 4/7*u**4 + 2/7*u**3 + 0*u + 0*u**f = 0.
-1, 0
Let b = 7564 + -22652/3. Let q(r) be the second derivative of -5/4*r**4 + b*r**3 - 25/2*r**2 + 29*r + 0. Solve q(j) = 0 for j.
1/3, 5
Let t = 427 + -609. Let k = -182 - t. Factor 0*r - 4*r**3 + k + 2*r**4 + 8/3*r**2 - 1/3*r**5.
-r**2*(r - 2)**3/3
Factor 26*v**2 - 297*v**3 - 180 - 5*v**2 + 4*v**2 - 60*v + 302*v**3.
5*(v - 3)*(v + 2)*(v + 6)
Let o(a) be the second derivative of a**6/90 - a**5/5 - 27*a**4/4 + 259*a**3/9 - 44*a**2 + 609*a - 6. Let o(d) = 0. Calculate d.
-12, 1, 22
Let o(h) be the second derivative of -h**6/210 - h**5/10 - 43*h**4/84 - 5*h**3/7 - 2*h - 55. Factor o(u).
-u*(u + 1)*(u + 3)*(u + 10)/7
Suppose -4*b = 2*r - 10, 0 = -14*b + 15*b + 2*r - 4. Let k = 6 + -4. Suppose -24*v + 72 - 4*v**k + v**2 + b*v**2 + 3*v**2 = 0. What is v?
6
Suppose 9*a - 551 = -11. Let g be a/(-21)*(3 + 26/(-4)). Solve 36*b**2 + 16*b**5 - 24*b**4 - 21*b**4 + 9*b**4 - 8*b**3 - g*b + 2*b = 0 for b.
-1, 0, 1/4, 1, 2
Let s(k) = -k**2 - 124*k - 3217. Let x be s(-87). Let 49/5 + 1/5*o**x + 14/5*o = 0. Calculate o.
-7
Let b be 5 + -8 + (-5655)/(-130). Suppose 4*q - 20 = -0*q. Find g, given that 3/2 + 15*g**2 - 81/2*g**4 + b*g**q + 21/2*g - 27*g**3 = 0.
-1/3, 1
Determine t, given that 0*t + 10/9*t**4 + 0 - 40/9*t**2 - 2/9*t**5 + 8/9*t**3 = 0.
-2, 0, 2, 5
Let j(q) = -q**3 + 13*q**2 - 43*q + 376. Let z be j(12). Let x(f) be the first derivative of -18 + 15/4*f**2 - 3*f - 2*f**3 + 3/8*f**z. Let x(w) = 0. What is w?
1, 2
Let s(i) be the first derivative of -2*i**3/3 + 88*i**2 - 174*i + 916. Factor s(b).
-2*(b - 87)*(b - 1)
Suppose -3*v - 2 = -20, 14 - 2 = -2*y + 2*v. Determine m so that y - 2/13*m**3 + 4/13*m**2 - 2/13*m = 0.
0, 1
Let r(a) be the first derivative of -a**5/5 - 5*a**4/2 - 19*a**3/3 + 15*a**2 - 3538. Solve r(l) = 0 for l.
-6, -5, 0, 1
Let l(t) be the first derivative of t**4/32 + 65*t**3/12 + 272*t**2 + 1024*t + 221. Solve l(m) = 0 for m.
-64, -2
Let p(o) = -2*o**2 - 126*o - 438. Let z(s) = -2*s**2 - 130*s - 437. Let t(f) = -5*p(f) + 6*z(f). Factor t(r).
-2*(r + 3)*(r + 72)
Let v be (4/(-7)*49/77)/(126/(-77)). Suppose -16/9*q**2 + 8/9*q**4 + 8/9 - 2/9*q**5 + 4/9*q**3 - v*q = 0. What is q?
-1, 1, 4
Let q = -355301/3 - -118434. Let 0 + 10/9*l**3 - q*l**4 + 0*l - 1/9*l**5 + 0*l**2 = 0. What is l?
-5, 0, 2
Let x(v) = -v**2. Let b(z) be the second derivative of -z**4/2 - z**3/3 - 58*z. Let w(r) = b(r) - 4*x(r). Determine i so that w(i) = 0.
-1, 0
Solve 0 - 5/2*s - 1/4*s**2 = 0 for s.
-10, 0
Let v = -278 + 286. Determine m, given that 4*m**2 - 3 - 5 + v*m - 4 = 0.
-3, 1
Let g = 661 + -659. Suppose -34*m + 5*m**3 - 31*m + 195*m**2 - 150 - 357*m**2 - m**4 + 181*m**g = 0. Calculate m.
-3, -2, 5
Determine q so that -122*q - 109*q - 16428 + 5*q**2 - 8*q**2 - 85*q - 128*q = 0.
-74
Let l(x) be the third derivative of 9/13*x**3 - 9/52*x**4 - x**2 - 1/780*x**6 + 0*x + 0 + 3/130*x**5. Find t such that l(t) = 0.
3
Let k = 11163/10 + -2313/2. Let i = 207/5 + k. Suppose 0 + i*u - 21/5*u**2 = 0. Calculate u.
0, 2/7
Let h(u) be the second derivative of u**5/80 + 5*u**4/12 - u**3/24 - 5*u**2/2 + u + 6942. Factor h(f).
(f - 1)*(f + 1)*(f + 20)/4
Let a(x) be the second derivative of -x**9/98280 + x**7/4095 + 25*x**4/4 + 39*x. Let p(d) be the third derivative of a(d). Factor p(m).
-2*m**2*(m - 2)*(m + 2)/13
Suppose 0 = -2*s + 4*d - 36, -s = -8*d + 2381 - 2303. Determine q so that -91*q - 111/2*q**s - 1/4*q**4 - 7*q**3 - 169/4 = 0.
-13, -1
Let w = 10