be the third derivative of 11*f**2 + 0*f + 1/30*f**5 + 12*f**3 - 1 - 13/12*f**4. Find i, given that m(i) = 0.
4, 9
Suppose 5*l + 2*m - 9 = -3, 2*m = 2*l - 8. Let d be (-2)/l + (-15)/(-5). Suppose 2*f**d + 8*f**2 + 3*f**5 + 4*f**3 + f - 8*f**4 - 2 - 8*f**5 = 0. Calculate f.
-1, 2/5, 1
Determine b, given that -546 - b**3 + 566 - 4*b**3 + 61*b + 21*b**3 + 96*b**2 + 23*b = 0.
-5, -1/2
Let k(b) be the second derivative of 22 + 0*b**2 + 22/15*b**3 + 1/30*b**4 - 11/25*b**5 - 2*b - 1/75*b**6. Solve k(r) = 0 for r.
-22, -1, 0, 1
Let h(x) be the first derivative of -2*x**3/3 + 2998*x**2 - 4494002*x + 5772. Let h(q) = 0. Calculate q.
1499
Suppose -756*v**2 - 86373*v - 96468 - 15*v**2 - 62622*v - v**3 - 51757 = 0. What is v?
-385, -1
Let t(w) be the second derivative of 1/42*w**4 + 0*w**2 + 13/7*w**3 - 14*w + 1. Find a, given that t(a) = 0.
-39, 0
Let t(k) = -3*k**3 - 286*k**2 + 282*k - 7. Let l(v) = 2*v**3 + 144*v**2 - 142*v + 4. Let d(o) = 7*l(o) + 4*t(o). Factor d(p).
2*p*(p - 67)*(p - 1)
Let b(w) be the first derivative of -2*w**3 + 953*w**2 - 1268*w - 653. Find u, given that b(u) = 0.
2/3, 317
Let r(b) be the third derivative of -b**7/105 + b**6/12 - b**5/15 - 5*b**4/3 + 8*b**3 + 6*b**2 - 493. Factor r(v).
-2*(v - 3)*(v - 2)**2*(v + 2)
Let r be (-130)/(-6)*((46 + -70)/240)/((-4)/16). Determine a so that 2/3*a**2 + 0 - r*a = 0.
0, 13
Find d, given that 6573*d**2 - 5*d**5 - 9*d**4 + 23*d**3 - 6559*d**2 - 23*d**4 = 0.
-7, -2/5, 0, 1
Let o(k) be the third derivative of k**6/300 + 14*k**5/75 - 1154*k**2. Suppose o(w) = 0. What is w?
-28, 0
Let j(k) be the third derivative of -16*k**7/315 - 53*k**6/90 - 3*k**5/5 + k**4 - 3*k**2 - 6*k. Determine w, given that j(w) = 0.
-6, -1, 0, 3/8
Suppose 0 = -3*k - 4*o - 3, 101*o = 3*k + 104*o. Let 4*i**k + 0 - 1/2*i**4 - 10*i**2 + 8*i = 0. Calculate i.
0, 2, 4
Let o(n) be the first derivative of -20*n**6/7 + 1124*n**5/35 + 29*n**4 - 512*n**3/21 - 40*n**2/7 - 8250. Let o(k) = 0. What is k?
-1, -2/15, 0, 1/2, 10
Let w(m) = -m**3 - 2*m**2 + m + 1. Let h(u) = 2*u**3 + 9*u**2 - 3*u - 3. Let c = 47 - 48. Let p(n) = c*h(n) - 3*w(n). What is y in p(y) = 0?
0, 3
Let a(x) = -35*x**3 - 239*x**2 - 200*x + 386. Let c(r) = 19*r**3 + 121*r**2 + 100*r - 192. Let j(z) = -6*a(z) - 11*c(z). Factor j(q).
(q - 1)*(q + 2)*(q + 102)
Let h be -2*(8 + -2)*2/(-6). Factor h*s**4 + 25*s**3 + s**4 + 10*s**2 - 10*s**3.
5*s**2*(s + 1)*(s + 2)
Let t(i) be the first derivative of 25*i**4/4 + 215*i**3/3 + 295*i**2/2 + 105*i + 2712. Factor t(v).
5*(v + 1)*(v + 7)*(5*v + 3)
Let x be 30/9*(-15)/(-1). Let m be x/5 - (-35)/(-5). Factor -10/7*j**m - 4/7*j**2 - 18/7*j**5 + 0 + 0*j + 32/7*j**4.
-2*j**2*(j - 1)**2*(9*j + 2)/7
Let f(x) be the third derivative of x**6/200 + 163*x**5/100 + 323*x**4/40 + 161*x**3/10 + 32*x**2 + 4. Factor f(n).
3*(n + 1)**2*(n + 161)/5
Let f(y) = -y + 18. Let d = -74 + 78. Let i be f(d). Factor 84 + 461*q**2 - 28*q + i - 459*q**2.
2*(q - 7)**2
Let z(c) be the second derivative of -1/8*c**4 + 99*c - 5/2*c**2 + 0 + 13/12*c**3. Factor z(d).
-(d - 1)*(3*d - 10)/2
Let v = 405 + -403. Factor -5 - 44*g**5 - 16*g**3 + 2 + 8*g**v + 48*g**5 + 12*g - 3 - 2.
4*(g - 1)**3*(g + 1)*(g + 2)
Let u(f) be the first derivative of 115 - 12/35*f**5 + 1/14*f**6 - 36/7*f**4 + 0*f - 120/7*f**2 - 16*f**3. Factor u(y).
3*y*(y - 10)*(y + 2)**3/7
Suppose 14*a - 896 = 6*a. Determine x, given that 44*x**2 + a + 7*x**3 - 2*x**3 - 8*x**3 + 3*x**3 + 128*x + 4*x**3 = 0.
-7, -2
Let j(z) be the second derivative of z**4/12 + 55*z**3/2 + 322*z**2 - 6761*z. Factor j(t).
(t + 4)*(t + 161)
Let m(t) be the first derivative of -t**4/28 + 13*t**3/21 - 31*t**2/14 - 45*t/7 + 3858. Factor m(n).
-(n - 9)*(n - 5)*(n + 1)/7
Let m(a) be the second derivative of a**4/27 - 40*a**3/9 - 122*a**2/9 + 253*a - 2. Factor m(h).
4*(h - 61)*(h + 1)/9
Let v(l) be the second derivative of -3*l**5/20 + 427*l**4/2 - 90736*l**3 - 549552*l**2 - 7057*l. Factor v(j).
-3*(j - 428)**2*(j + 2)
Let j(b) be the third derivative of b**6/120 - 11*b**5/40 - 91*b**3/6 - 17*b**2. Let k(l) be the first derivative of j(l). What is z in k(z) = 0?
0, 11
Let y = -89113 - -802028/9. Factor 23/9*g**2 + 1/9*g**4 - y*g - 13/9*g**3 + 0.
g*(g - 11)*(g - 1)**2/9
Factor 3*f**4 - 9876*f + 10071*f - 4*f**4 - 27*f**3 - 2*f**4 + 171*f**2 + 0*f**4.
-3*f*(f - 5)*(f + 1)*(f + 13)
Find y, given that -59*y**2 + 3*y**4 + 247*y**2 + 2*y**4 + 55*y - 73*y**2 + 65*y**3 = 0.
-11, -1, 0
Factor -2/17*z**3 + 0 - 2*z**2 - 60/17*z.
-2*z*(z + 2)*(z + 15)/17
Let p = -296917 + 5047621/17. Suppose -376/17*r**3 + 0*r**2 - p + 150/17*r**5 + 130/17*r**4 + 128/17*r = 0. Calculate r.
-2, -2/3, 2/5, 1
Let g be (-14 - -5)/(-27) - 82/(-6). Let i(b) be the second derivative of -1/60*b**5 - 4/3*b**2 + 2/9*b**3 + 1/18*b**4 + 0 - g*b. Let i(c) = 0. Calculate c.
-2, 2
Let u(z) be the first derivative of -63*z**5/5 + z**4 + 4*z**3/3 + 76. Suppose u(r) = 0. What is r?
-2/9, 0, 2/7
Let k(d) be the third derivative of -106*d**2 + 0 - 1/600*d**6 - 3/50*d**5 - 11/40*d**4 + 0*d - 8/15*d**3. Factor k(h).
-(h + 1)**2*(h + 16)/5
Let x(z) be the first derivative of -7 + 1/2*z**4 + 70*z + 22*z**3 - 69*z**2. Factor x(b).
2*(b - 1)**2*(b + 35)
Let n(u) be the third derivative of -u**5/210 - 22*u**4/21 + 68*u**3 - 7296*u**2. Let n(y) = 0. Calculate y.
-102, 14
Factor 137*q**2 + 878*q**2 + q**3 + 3*q**3 - 143*q**2 + 1551*q + 177*q.
4*q*(q + 2)*(q + 216)
Let l(o) be the third derivative of o**5/20 - 77*o**4/8 - 39*o**3 - 894*o**2 + o. Factor l(x).
3*(x - 78)*(x + 1)
Factor 0 + 2/7*m**3 - 44/7*m - 6*m**2.
2*m*(m - 22)*(m + 1)/7
Factor 4*s**5 + 1349*s - 1445*s + 20*s**4 - 43*s**2 + 8*s**3 - 37*s**2.
4*s*(s - 2)*(s + 2)**2*(s + 3)
Let a(c) be the third derivative of -1/1575*c**7 + 213*c**2 + 1/20*c**4 - 1/900*c**6 + 0 - 2/5*c**3 + 0*c + 11/450*c**5. Find d such that a(d) = 0.
-3, -2, 1, 3
Let a be (8/10)/((-4)/(-10))*(-56)/(-84). Let r(z) be the third derivative of 0*z + 0 + 5/2*z**4 - a*z**3 - 21/10*z**5 + 49/120*z**6 - 21*z**2. Factor r(x).
(x - 2)*(7*x - 2)**2
Let k(o) = -o**3 + 17*o**2 - 3. Let g(b) = -b**3 - 11*b**2 + 1. Let t(m) = -3*g(m) - k(m). Find w such that t(w) = 0.
-4, 0
Let d = 54 + -50. Let u(v) be the second derivative of -5/12*v**d - v + 0 + 5/2*v**2 + 0*v**3. Factor u(j).
-5*(j - 1)*(j + 1)
Factor -704/9*b + 6 + 26/9*b**2.
2*(b - 27)*(13*b - 1)/9
Let w be (0/((-12)/4 + 2))/1. Suppose -7*j + 6*j = -4*v + 12, -16 = -5*j + v. Factor 0*t + w + 0*t**2 - 9/5*t**5 - 3/5*t**3 + 12/5*t**j.
-3*t**3*(t - 1)*(3*t - 1)/5
Let j(u) be the third derivative of u**7/35 + 8*u**6/9 + 101*u**5/10 + 259*u**4/6 - 392*u**3/9 + 120*u**2 - 6. Suppose j(v) = 0. Calculate v.
-7, -4, 2/9
Suppose -2*p + 4*a = -617 + 623, 0 = -3*p - a + 12. Let n(c) be the second derivative of 0*c**2 - 3*c + 0 + 8/27*c**p - 1/27*c**4. Factor n(h).
-4*h*(h - 4)/9
Suppose 5*q + 0*w - 425 = -w, w = -2*q + 167. Let v = q - 83. Find s, given that 2*s**2 - s**3 + s**v - 30*s + s**3 + 31*s = 0.
-1, 0
Find u, given that 440*u - 767*u**2 + 497*u**3 - 563*u**2 + 30*u**2 + 123*u**4 - 7*u**3 - 98*u**4 = 0.
-22, 0, 2/5, 2
Let x = -3047 - -3050. Let k(s) be the third derivative of -1/140*s**5 + 9*s**2 - 1/14*s**x + 0 + 0*s + 1/28*s**4. Find q, given that k(q) = 0.
1
Let m(t) be the first derivative of -60 + 22/7*t**2 + 4/7*t**3 + 24/7*t. Factor m(x).
4*(x + 3)*(3*x + 2)/7
Let y(z) be the second derivative of -z**6/120 + z**5/6 - 4*z**4/3 + 16*z**3/3 + 63*z**2/2 - 2*z - 12. Let i(q) be the first derivative of y(q). Factor i(m).
-(m - 4)**2*(m - 2)
Let g(m) be the second derivative of 2*m**6/15 + 8*m**5 + 13*m**4 + m + 607. Suppose g(r) = 0. Calculate r.
-39, -1, 0
Let q(l) be the second derivative of 0*l**3 - 1/2*l**4 - 1/20*l**5 + 0 + 1/42*l**7 - 162*l + 0*l**2 + 1/5*l**6. What is b in q(b) = 0?
-6, -1, 0, 1
Let d(a) be the first derivative of a**6/30 + 11*a**5/25 - 9*a**4/20 - 19*a**3/3 + 28*a**2/5 + 132*a/5 + 2496. Suppose d(m) = 0. Calculate m.
-11, -3, -1, 2
Determine s so that -457*s**2 + 1274 + 20*s + 790*s + 455*s**2 + 887*s - 425*s = 0.
-1, 637
Let m(j) be the first derivative of 45/2*j**2 + 0*j - j**3 + 58. Factor m(k).
-3*k*(k - 15)
Factor 1/10*v**2 - 517/5*v + 267289/10.
(v - 517)**2/10
Let y be (1 - 2/4)/(314/4082). Factor 1/2*s**2 + 6 - y*s.
(s - 12)*(s - 1)/2
Let g(j) be the first derivative of 7*j**5/2