ivative of -23 - 1/20*z**5 - 7*z**2 - 3/2*z**3 + 0*z - 1/2*z**4. Let s(d) be the second derivative of j(d). Factor s(i).
-3*(i + 1)*(i + 3)
Let z be (32/(-14) - -2)*252/(-144). Let d(h) be the first derivative of -14 - 3*h + z*h**2 + 4/3*h**3. What is b in d(b) = 0?
-1, 3/4
Let m(k) be the second derivative of 1/45*k**6 - 21*k + 7/9*k**3 + 1/2*k**4 + 1/6*k**5 + 2/3*k**2 + 1. Factor m(n).
2*(n + 1)**3*(n + 2)/3
Let s(k) be the second derivative of -49*k + 8/9*k**2 + 1/27*k**3 + 0 + 1/189*k**7 + 8/135*k**6 - 8/27*k**4 - 1/45*k**5. Solve s(y) = 0 for y.
-8, -1, 1
Determine y so that -2/3*y**3 - 296/3*y + 96 + 80/3*y**2 = 0.
2, 36
Solve 3/2*q**2 - 27/2*q + 1/6*q**3 + 45/2 = 0.
-15, 3
Let r = 334 + -294. Let h be -10 - (-5 - r/6). Factor -5/3*b**4 + 5/3*b + h*b**2 - 5/3*b**3 + 0.
-5*b*(b - 1)*(b + 1)**2/3
Let t(w) = -14*w**3 + 8*w**2 - 2*w - 2. Let v(o) = -o**4 - 70*o**3 + 38*o**2 - 11*o - 11. Let x = -288 - -310. Let k(h) = x*t(h) - 4*v(h). Factor k(r).
4*r**2*(r - 6)*(r - 1)
Let f(w) be the third derivative of 2*w**7/105 + 16*w**6/15 - 22*w**5/5 - 2576*w**4/3 + 51842*w**3/3 - 20*w**2 - 95*w - 2. Factor f(n).
4*(n - 7)**2*(n + 23)**2
Let h = 44966 - 44963. Factor -1/8*a**4 - 1/4*a**2 + 3/8*a**h + 0*a + 0.
-a**2*(a - 2)*(a - 1)/8
Let s = 462946 + -462943. Factor -1/4*y**4 - y - 11/4*y**2 + 1/4*y**5 - 9/4*y**s + 0.
y*(y - 4)*(y + 1)**3/4
Factor -844992/7*p - 850208/7 - 207344/7*p**2 - 2/7*p**4 + 1296/7*p**3.
-2*(p - 326)**2*(p + 2)**2/7
Factor -84*x + 256*x**2 + 135*x**2 - 288 - 387*x**2.
4*(x - 24)*(x + 3)
Let l be (2 + -2 + -4)/(-2). Let t(m) = -36*m**2 + 90*m - 111. Let x = -1516 - -1501. Let o(g) = -5*g**2 + 13*g - 16. Let h(a) = l*t(a) + x*o(a). Factor h(u).
3*(u - 3)*(u - 2)
Factor 24 + 10 - 4*r**2 - 12*r**2 - 35 + 98*r**2 + 81*r.
(r + 1)*(82*r - 1)
Suppose -2/7*k**2 + 30 - 32/7*k = 0. What is k?
-21, 5
Let u(t) be the first derivative of t**5/25 + 57*t**4/20 + 838*t**3/15 + 336*t**2/5 - 1568*t/5 + 538. Factor u(x).
(x - 1)*(x + 2)*(x + 28)**2/5
Let k = -1214986/5 - -243986. Let d = k - 988. Factor -d*u + 8/5 - 4/5*u**2.
-4*(u - 1)*(u + 2)/5
Let g(r) = -2706 + 2711 - r**3 - 8*r**2 + 7*r**3 + 2*r. Let d(t) = -9*t**3 + 12*t**2 - 3*t - 7. Suppose -5*m = 1 + 24. Let h(y) = m*d(y) - 7*g(y). Factor h(q).
q*(q - 1)*(3*q - 1)
Let n(b) be the first derivative of 3*b**5/5 - 21*b**4/4 + 9*b**3 + 21*b**2/2 - 30*b - 1200. Suppose n(s) = 0. Calculate s.
-1, 1, 2, 5
Let c = -49 + 54. Suppose 0 = 2*z - z - q - c, -4*q - 6 = 3*z. Factor 18 + o + o**2 - o**z + 3*o**2 + 14*o.
3*(o + 2)*(o + 3)
Solve -12759184 - 11*p**2 - 22*p**2 - 15*p**2 + 3076*p + 11212*p + 44*p**2 = 0 for p.
1786
Let m(j) be the second derivative of j**9/98280 - 3*j**8/14560 - j**7/1638 - 55*j**4/6 - j**3/6 - 139*j. Let u(n) be the third derivative of m(n). Factor u(q).
2*q**2*(q - 10)*(q + 1)/13
Let n(p) be the third derivative of p**5/60 - p**4/12 + 5*p**3/6 - 15*p**2. Let i be n(3). Factor -z - 5*z - z**2 + i*z - 1.
-(z - 1)**2
Let o(g) be the third derivative of g**6/120 + g**5/3 - g**4/24 - 10*g**3/3 - 410*g**2 - 6. Factor o(q).
(q - 1)*(q + 1)*(q + 20)
Let x = 1413 + -1488. Let p be 11 + ((-335)/x)/(-1). What is u in -2/15*u**2 - 28/15*u - p = 0?
-7
Let v be ((-80)/(-75))/((-7)/(-10)). Let r be ((-24)/28)/(6/(-14)). Factor -v*q**r - 50/21 + 80/21*q.
-2*(4*q - 5)**2/21
Solve 12*w**2 - 8*w + 0 - 9/2*w**3 + 1/2*w**4 = 0.
0, 1, 4
Let p be -3*15/135*6 - (3 - 7). Factor 2/5*y**3 + 0 + 2/5*y**4 - 2/5*y - 2/5*y**p.
2*y*(y - 1)*(y + 1)**2/5
Suppose 230 - 272 = -21*a. Let d(x) be the second derivative of 18*x - 1/40*x**5 + 0*x**a + 0 - 1/8*x**4 + 0*x**3. Solve d(o) = 0.
-3, 0
Suppose 5*g - 7*g + 32 = 5*k, 4*g - 5*k - 64 = 0. Factor -42*i + g + 24*i**2 - 4*i**3 + 53*i - 47*i.
-4*(i - 4)*(i - 1)**2
Let 3/7*n**2 - 1199/7*n + 114 = 0. What is n?
2/3, 399
Let q(x) be the first derivative of -x**6/3 + 6*x**5/5 + 17*x**4/2 - 34*x**3 - 16*x**2 + 96*x - 1404. Find k such that q(k) = 0.
-4, -1, 1, 3, 4
Factor 684/11 + 346/11*x + 2/11*x**2.
2*(x + 2)*(x + 171)/11
Let h be 2/11 + ((-59024)/(-77))/8. Factor -h*m**2 + 3 + 9 - 32*m + 116*m**2.
4*(m - 1)*(5*m - 3)
Let v(n) be the first derivative of n**6/42 + 69*n**5/7 - 521*n**4/14 + 232*n**3/7 + 7224. Determine w, given that v(w) = 0.
-348, 0, 1, 2
Suppose -48*i**3 + i**2 - 7*i**2 + 45*i - 18*i**4 + 23 - 11 + 3*i**5 + 13 - 1 = 0. Calculate i.
-1, 1, 8
Let u(c) be the third derivative of c**8/1680 + 151*c**7/525 - 913*c**6/600 + 61*c**5/30 + 3580*c**2 + c. Solve u(f) = 0 for f.
-305, 0, 1, 2
Let v(t) = 2*t**2 - 27*t + 3. Let f(h) = -7*h - 6. Let k be f(-3). Let s be v(k). Factor -9*d**4 + 25*d**5 - 2*d**3 - 4*d**3 - s*d**5 + 20*d**5.
-3*d**3*(d + 1)*(d + 2)
Suppose 556*j - 1320 + 83 - 311 = 1232. Solve 116/3*w - 8 - 73/6*w**4 + 87/2*w**3 + 7/6*w**j - 379/6*w**2 = 0 for w.
3/7, 1, 4
Let l = -405 - -180. Let g = 230 + l. Let 5/3*x**3 + 0*x**2 - 1/3*x**g + 0 + 0*x**4 - 4/3*x = 0. Calculate x.
-2, -1, 0, 1, 2
Solve 908209/2*y**2 + 1906*y + 2 = 0 for y.
-2/953
Let y(t) be the second derivative of t**4/6 - 10*t**3 - 64*t**2 - 161*t + 2. Factor y(g).
2*(g - 32)*(g + 2)
Let i(r) be the second derivative of -r**6/15 - 161*r**5/10 - 80*r**4/3 + 963*r. Let i(y) = 0. What is y?
-160, -1, 0
Suppose 2*j + 3*r - 15 = 0, 0*r = -4*r + 12. Factor 3*t**2 - 2*t - 4/3*t**j + 1/3.
-(t - 1)**2*(4*t - 1)/3
Suppose -362 + 14 = -58*l. Suppose -x - 2*p + 6 = x, 2*x - 4*p - l = 0. Factor -2/15*t**4 + 0 - 14/15*t**x - 16/15*t**2 + 32/15*t.
-2*t*(t - 1)*(t + 4)**2/15
Factor -1/8*n**2 - 117/8 - 11/4*n.
-(n + 9)*(n + 13)/8
Factor 12*j - 31*j**2 - 29*j**2 - 2*j - 351*j**3 + 353*j**3 + 52*j**2 - 4.
2*(j - 2)*(j - 1)**2
Let k = -12658/5 + 2540. Let j = 12538/5 - 2507. Let k*b - 147/5 - j*b**2 = 0. Calculate b.
7
Suppose -1477*p = -1466*p - 33. Let a(l) be the first derivative of 8*l**2 + 13 + 2/3*l**p + 32*l. Let a(c) = 0. Calculate c.
-4
Let u = 270755 + -270755. Suppose z + u + 1/3*z**4 + 7/3*z**2 + 5/3*z**3 = 0. Calculate z.
-3, -1, 0
Let 2/7*i**4 - 38/7*i**2 + 0 - 8/7*i**3 - 4*i = 0. What is i?
-2, -1, 0, 7
Let i(m) be the second derivative of -m**6/6 + 31*m**5/4 + 125*m**4/3 + 170*m**3/3 - 2*m - 1444. Factor i(a).
-5*a*(a - 34)*(a + 1)*(a + 2)
Find o, given that 0 + 156*o**4 + 15210*o**3 + 659100*o**2 + 3/5*o**5 + 10710375*o = 0.
-65, 0
Let s(d) be the second derivative of 92 + d + 0*d**3 + 0*d**2 - 5/102*d**4 - 1/170*d**5. Factor s(f).
-2*f**2*(f + 5)/17
Let l(j) be the second derivative of j**3/3 + 3*j**2 + 9*j. Let r be l(-2). Factor 2*v**3 + 9*v**2 - 9*v**2 + r*v**3.
4*v**3
Let u = -773999/5 + 154800. Factor -44/5*q - 484/5 - u*q**2.
-(q + 22)**2/5
Let o(c) = c**2 + 2*c - 3. Let t be o(-10). Suppose 3*n - 74*n**2 - t*n**2 + 9*n**3 + 142*n**2 - 3*n**4 = 0. What is n?
0, 1
Let h be (-5)/(-4054 - 1)*6. Let u = 6446/5677 + h. Factor 0*j + u + 2/7*j**3 - 6/7*j**2.
2*(j - 2)**2*(j + 1)/7
Let k(m) be the second derivative of 45/2*m**2 + 0 - 1/4*m**5 - 28*m + 15/2*m**3 - 5/12*m**4. Factor k(b).
-5*(b - 3)*(b + 1)*(b + 3)
Let a = 2962 - 2945. Let x(w) be the third derivative of -a*w**2 + 0*w - 4/15*w**3 - 4/75*w**5 - 1/6*w**4 + 0 - 1/150*w**6. Factor x(t).
-4*(t + 1)**2*(t + 2)/5
Let o(u) = 24*u**2 - u + 1. Let v(y) = 253*y**2 + 32*y - 19. Let c(a) = 22*o(a) - 2*v(a). Factor c(s).
2*(s - 3)*(11*s - 10)
Let g(q) = q**2 - 10*q - 2. Let k be g(5). Let b be (k + -1)/(8 - 10). Solve -63*d**5 + b*d + 20*d**3 + 28*d**5 + 70*d**2 - 10 - 60*d**4 + d = 0.
-1, 2/7, 1
Let o = -82 - -303. Factor 2*i**3 + 2616*i + 45*i**2 - 530*i + 1683*i - o*i**2 + 103*i.
2*i*(i - 44)**2
Let v(i) be the second derivative of 0 - 1/75*i**6 + 9*i - 8/5*i**2 + 1/5*i**4 - 4/15*i**3 + 1/50*i**5. Let v(w) = 0. What is w?
-2, -1, 2
Let w(q) be the third derivative of -q**5/12 - 85*q**4/24 + 15*q**3 + 2880*q**2. What is d in w(d) = 0?
-18, 1
Let t(i) be the third derivative of 0 + i**3 + 7*i**2 + 11/12*i**4 + 7/120*i**5 + 6*i. Solve t(f) = 0 for f.
-6, -2/7
Let y(j) be the third derivative of 2/15*j**5 + 7/18*j**4 + j + 2/9*j**3 + 0 - 7*j**2. Determine f, given that y(f) = 0.
-1, -1/6
Suppose 270*u - 480 = -176 + 506. Let 7/2*x**2 - 3/2*x + 5/2*x**4 + 19/2*x**u - 2*x**5 + 0 = 0. Calculate x.
-1, 0, 1/4, 3
Let x = 628060 - 1256021/2. Let 21/2*k**2 - 121/2 + 1/2*k**3 + x*k = 0. Calculate k.
-11, 1
Let r(i) be the second derivative