hird derivative of a(v). Factor l(f).
3*(f + 2)*(f + 4)/2
Let f(a) be the first derivative of 1/6*a**3 - 1/12*a**4 + 1/60*a**5 + 0*a + 5*a**2 + 1. Let i(h) be the second derivative of f(h). Factor i(r).
(r - 1)**2
Let k(f) = 5*f - 52. Let t be k(11). Suppose -97*s**3 - 84*s**2 - 400 + 56*s**t + 45*s**3 + 480*s = 0. What is s?
1, 10
Let a(b) be the third derivative of -b**5/330 - 47*b**4/132 - 280*b**3/33 + 6739*b**2. Let a(p) = 0. What is p?
-40, -7
Suppose -4*v = -2*l + 8, -l = 2*v + 2*v + 2. Let -1 + 3*o**l + 8 - 861*o**3 + 9*o - 2 + 860*o**3 = 0. Calculate o.
-1, 5
Factor 0 + 480/11*r**2 + 0*r - 2/11*r**4 - 4*r**3.
-2*r**2*(r - 8)*(r + 30)/11
Suppose 118/3*q**2 - 224/3*q - 32/3 - 5*q**3 = 0. What is q?
-2/15, 4
Let h(f) be the third derivative of 1/360*f**6 + 0 + 0*f**3 - 81*f**2 + 0*f - 1/36*f**5 + 1/18*f**4. Suppose h(r) = 0. What is r?
0, 1, 4
Suppose 0 = -2*t + 7*t - 435. Let n be ((-4)/(-10))/(t/290). Determine d, given that n*d + 38/3*d**2 + 0 = 0.
-2/19, 0
Factor -1383026/3*y**3 - 207320/3*y**2 - 9056/3*y + 3424876/3*y**4 - 128/3 - 1825346/3*y**5.
-2*(y - 1)**2*(97*y + 4)**3/3
Let m(x) be the second derivative of -x**5/5 + x**4/6 + 44*x**2 + 2*x + 7. Let r(a) be the first derivative of m(a). Solve r(n) = 0.
0, 1/3
Let d(f) = 10*f**4 - 2*f**3 - f**2 + f. Let t(u) = u**5 - 68*u**4 + 4*u**3 + 105*u**2 + 136*u + 54. Let s(o) = -5*d(o) - t(o). Factor s(z).
-(z - 18)*(z - 3)*(z + 1)**3
Let d = 8972 - 8967. Let w(s) be the second derivative of 0 - 2*s + 3/10*s**d + 2*s**2 - 1/15*s**6 - s**3 - 1/6*s**4. Factor w(l).
-2*(l - 2)*(l - 1)**2*(l + 1)
Let m be (4/12)/(5/60). Suppose -m*k - a = -527, 376 + 299 = 5*k - 2*a. Factor -133 - 7*s**2 + 4*s**2 - 15*s + k.
-3*s*(s + 5)
Let i(g) be the first derivative of 2/9*g**3 + 600*g - 20*g**2 + 119. What is w in i(w) = 0?
30
Let a(z) be the second derivative of 2*z + z**2 - 8 - 1/24*z**4 - 1/4*z**3. Find x such that a(x) = 0.
-4, 1
Factor -260*a + 3*a**2 - 220 - 205 + 93 - 304 - 373*a.
3*(a - 212)*(a + 1)
Let n(s) be the first derivative of -2*s**6/21 + 22*s**5/35 - 3*s**4/14 - 88*s**3/21 + 20*s**2/7 + 96*s/7 + 2275. Suppose n(a) = 0. Calculate a.
-3/2, -1, 2, 4
Let c = 140 - 236. Let n = c + 108. Factor -3*r**3 + 9*r + 3*r**4 - n - 27*r**2 - 9*r - 33*r.
3*(r - 4)*(r + 1)**3
Let j(k) be the second derivative of -21/20*k**5 + 3/2*k**4 - 85*k + 1/2*k**3 + 0*k**2 - 2. Factor j(g).
-3*g*(g - 1)*(7*g + 1)
Let g(q) be the first derivative of q**4/10 - 26*q**3/15 - 29*q**2/5 - 6*q - 818. Solve g(b) = 0 for b.
-1, 15
Let u(j) = 32*j**2 - 100*j - 126. Let m(w) = -w**3 - 33*w**2 + 102*w + 125. Let q = -198 - -196. Let c(l) = q*m(l) - 3*u(l). Let c(r) = 0. What is r?
-1, 8
Let s(z) be the second derivative of z**5/105 + 4*z**4/21 - 59*z**2/2 - 59*z. Let v(x) be the first derivative of s(x). Factor v(b).
4*b*(b + 8)/7
Let q(u) be the third derivative of -u**6/1140 + 31*u**4/228 + 10*u**3/19 - 276*u**2 + u. Factor q(g).
-2*(g - 6)*(g + 1)*(g + 5)/19
Let k(l) = l**3 - l**2 - l + 4. Let s be k(2). Suppose 0 = -9*r + 6*r + s. Factor 4*d**4 + d**4 + r*d**4 - 10*d**4.
-3*d**4
Let j be 7*(-372)/1953 + ((-6)/3 - (-116)/33). Factor 0 - 64/11*c - 8/11*c**3 + 56/11*c**2 - j*c**4.
-2*c*(c - 2)**2*(c + 8)/11
Let j(b) = 75*b**3 + 470*b**2 - 680*b - 1345. Let d(c) = 19*c**3 + 117*c**2 - 170*c - 340. Let k(u) = -15*d(u) + 4*j(u). Let k(i) = 0. What is i?
-28/3, -1, 2
Determine y so that -555*y**2 - 553*y**4 - 12*y**5 + 7*y**5 + 315*y + 22*y + 628*y**4 + 35*y**3 + 113*y = 0.
-3, 0, 1, 2, 15
Suppose -5341869*v - 5*v**2 + 5341538*v - 329*v**2 - v**3 + 666 = 0. What is v?
-333, -2, 1
Let r = 8010 - 8006. Let f(d) be the second derivative of 1/2*d**7 + 0 - 3*d**6 - 3*d**2 + 15/2*d**5 - 10*d**r - 22*d + 15/2*d**3. Determine b so that f(b) = 0.
2/7, 1
What is t in -486645*t - 97248*t**3 + 198795 - 4*t**5 - 762699*t + 641013 + 614336*t**2 - 1272*t**4 = 0?
-162, 2
Let n(w) be the third derivative of -w**6/280 - 183*w**5/140 - 181*w**4/28 + 250*w**2. Suppose n(z) = 0. What is z?
-181, -2, 0
Let i(q) = -3*q**2 + 24*q + 36. Let c be i(9). Suppose -c*n = -5*n + 22*n. Factor -1/2*y**2 + n + 0*y.
-y**2/2
Let f(y) be the first derivative of -2*y**3/21 + 186*y**2/7 - 370*y/7 + 1415. Factor f(m).
-2*(m - 185)*(m - 1)/7
Let m be (53/(-2))/(1/6). Let u = 602 + m. Factor -442*k**3 - 4*k**2 + u*k**3 + 3*k**2.
k**2*(k - 1)
Let j(w) be the second derivative of -4/3*w**2 - 4/15*w**3 + 0 + 58*w - 1/90*w**4. Find d such that j(d) = 0.
-10, -2
Suppose 12 + 24383*r**4 - 23*r + 2*r**3 - 24384*r**4 + 9*r**2 + r**3 = 0. What is r?
-3, 1, 4
Let c(k) be the first derivative of k**4/10 + 82*k**3/3 + 204*k**2/5 - 2334. Find o such that c(o) = 0.
-204, -1, 0
Let f = 5307 + -5305. Let d = -54 + 57. Factor 9*x**f + 0*x + 3/2*x**d + 0.
3*x**2*(x + 6)/2
Let s = 55 + -48. Suppose s*t - 12 = 9*t + 4*a, -4*t - 5*a = 12. Factor -1/5 + 0*q + 1/5*q**t.
(q - 1)*(q + 1)/5
Let a(d) = 7*d**2 + 476*d - 483. Let q(m) = 15*m**2 + 955*m - 970. Let v(k) = 5*a(k) - 2*q(k). Factor v(j).
5*(j - 1)*(j + 95)
Suppose 259*w + 132*w = 85*w. Let n(l) be the third derivative of 1/32*l**4 + 1/96*l**6 - 1/840*l**7 + 0*l**3 + w + 9*l**2 - 7/240*l**5 + 0*l. Factor n(f).
-f*(f - 3)*(f - 1)**2/4
Let p(g) be the third derivative of g**8/5040 - g**7/315 - 7*g**6/60 + 169*g**5/60 + 242*g**2. Let m(y) be the third derivative of p(y). Factor m(b).
4*(b - 7)*(b + 3)
Let f(g) be the third derivative of g**5/20 - 15*g**4/4 + 81*g**3/2 - 4801*g**2. Factor f(n).
3*(n - 27)*(n - 3)
Let x(v) be the third derivative of -v**9/45360 + v**8/7560 + 2*v**7/945 + 61*v**5/60 - 3*v**2 + v. Let s(u) be the third derivative of x(u). Factor s(k).
-4*k*(k - 4)*(k + 2)/3
Let u(i) be the third derivative of i**6/40 + 333*i**5/20 + 28215*i**4/8 + 81675*i**3/2 - 10*i**2 - 19*i + 1. Factor u(l).
3*(l + 3)*(l + 165)**2
Let z(q) be the third derivative of q**6/120 - q**5/20 - 15*q**4/8 + 8*q**3 + 5*q**2 - 3. Let r(b) be the first derivative of z(b). What is j in r(j) = 0?
-3, 5
Let s(i) = -i + 36. Let h be s(-6). Let q = -40 + h. Solve 20*z - 8 + 7*z**q - 13*z**2 - 6*z**2 = 0 for z.
2/3, 1
Let t = -131596 - -921178/7. Factor 6*q + t*q**2 - 48/7.
6*(q - 1)*(q + 8)/7
Let t(k) = k**2 - 11*k + 13. Let j = 80 - 123. Let y = j + 39. Let n(c) = -c**2 + 12*c - 12. Let b(r) = y*t(r) - 3*n(r). Suppose b(a) = 0. Calculate a.
4
Let r(l) be the third derivative of l**5/15 - 1054*l**4 + 6665496*l**3 + 37*l**2 - 14*l. Factor r(k).
4*(k - 3162)**2
Let f(d) be the first derivative of d**4/19 + 682*d**3/57 + 14620*d**2/19 + 14450*d/19 - 7267. What is h in f(h) = 0?
-85, -1/2
Suppose 0 = 3*n + k - 21 + 6, k - 3 = 0. Factor -4*u**2 + 216 - 428 + 212 - n*u.
-4*u*(u + 1)
Suppose -39*h = -4*o - 29*h + 176, 0 = -2*o - 2*h - 24. Suppose 0*x + 8 = 4*x. Solve 6/5*m**x - 18/5*m**3 - o*m**4 + 0 + 4/5*m = 0 for m.
-1, -2/5, 0, 1/2
Let p = -4371 - -1110231/254. Let w = 3607/4318 + p. Factor w*o + 0 + 2/17*o**2.
2*o*(o + 7)/17
Let j(f) = 8*f**3 - 2*f**2 - 6. Let w(b) = 15*b**3 - 3*b**2 - 11. Suppose -84 = 4*c + 10*c. Let k(r) = c*w(r) + 11*j(r). Solve k(v) = 0 for v.
-2, 0
Let k(c) be the third derivative of -1/300*c**6 + 0 + 1/60*c**4 - 25*c**2 + 1/75*c**5 + 0*c - 2/15*c**3. Factor k(j).
-2*(j - 2)*(j - 1)*(j + 1)/5
Let q(n) = -6*n**5 + n**4 + 2*n**3 + n + 1. Let j(p) = 15*p**5 - 32*p**4 - 22*p**3 + 204*p**2 - 251*p + 88. Let i(z) = -j(z) - 2*q(z). Factor i(y).
-3*(y - 10)*(y - 1)**3*(y + 3)
Let i(x) be the first derivative of -x**5/10 + 339*x**4/8 - 1345*x**3/6 + 1677*x**2/4 - 335*x + 2029. Solve i(v) = 0 for v.
1, 2, 335
Let w(l) = l**2 - l + 8. Let h(d) = -28*d**2 - 3038*d + 1176338. Let b(z) = 2*h(z) + 60*w(z). Find j such that b(j) = 0.
767
Let a(i) = i**3 - 23*i**2 + 3*i + 21. Let q(d) = 189 + 191 - 379 - 2*d. Let j(w) = 3*a(w) + 6*q(w). Factor j(s).
3*(s - 23)*(s - 1)*(s + 1)
Let v(i) be the first derivative of i**4/4 + 6*i**3 + 45*i**2/2 - 7440. Factor v(g).
g*(g + 3)*(g + 15)
Let w(q) = 3*q**2 + 117*q + 1054. Let a be w(-14). Let m(i) = -i - 4. Let d be m(-6). Factor -2/9*r**a - 14/9*r - 2*r**d - 10/9*r**3 - 4/9.
-2*(r + 1)**3*(r + 2)/9
Let s be (((-6715)/(-34))/(-79))/(-9 + 4). Determine f, given that -1/6*f**3 + 2/3 + 0*f - s*f**2 = 0.
-2, 1
Let n = 106555 - 213097/2. Factor -2*f**4 - 2*f**2 + 6*f - n*f**3 + 0.
-f*(f + 2)**2*(4*f - 3)/2
Let z be 