e third derivative of 0 + 1225*o**3 + 42*o + 1/40*o**5 - 35/4*o**4 + o**2. Suppose k(a) = 0. Calculate a.
70
Let p = 19829/3594 - 31/1797. Factor p - 5*x - 1/2*x**2.
-(x - 1)*(x + 11)/2
Let f(l) = -l**3 - 7*l**2 - 9*l + 10. Let v be f(-4). Let g be (-1 + 1 + (-6)/6)*v. Factor -16/7*d - 32/7*d**g + 20/7*d**3 + 0.
4*d*(d - 2)*(5*d + 2)/7
Let v be (-2)/(-3) - (84/18 - 5). Determine w so that -10*w**2 + 3 + 7*w**2 - v + 6 + 10*w = 0.
-2/3, 4
Let m be (-62 - 8)/(-7) + -1. Suppose -4*u - m = -3*f, -19*f + 15*f = 2*u - 12. Find c such that 6/5*c**f + 0 - 8/5*c + 8/5*c**4 + 2/5*c**5 - 8/5*c**2 = 0.
-2, -1, 0, 1
Let f(k) = 109*k**2 + 35*k + 94. Let l(a) = -408*a**2 - 141*a - 375. Let m(h) = 15*f(h) + 4*l(h). Factor m(r).
3*(r - 15)*(r + 2)
Let w be (-6)/((-80)/60*6/4). Suppose 4*v - 10*i = -11*i, -v = w*i. Suppose -4/5*o**2 - 1/5*o - 1/5*o**5 - 6/5*o**3 + v - 4/5*o**4 = 0. What is o?
-1, 0
Factor -2/11*q**2 + 214/11*q - 420/11.
-2*(q - 105)*(q - 2)/11
Let s = -1/1062 - -79/354. Let i(l) be the second derivative of s*l**3 + 1/2*l**2 + 0 - 9*l + 1/36*l**4. Find w such that i(w) = 0.
-3, -1
Let u(f) be the first derivative of -1/5*f**5 - f**4 - 33 - 4/3*f**3 - 45*f + 0*f**2. Let l(n) be the first derivative of u(n). Suppose l(z) = 0. What is z?
-2, -1, 0
Let u(d) = 2*d**3 - 4890*d**2 + 3985347*d - 1082686747. Let g(v) = 6*v**3 - 14670*v**2 + 11956040*v - 3248060240. Let r(b) = -3*g(b) + 10*u(b). Factor r(x).
2*(x - 815)**3
Let b = -32390 + 32394. Let k(t) be the second derivative of 1/3*t**4 + b*t**3 + 16*t**2 + 0 + 16*t. Factor k(y).
4*(y + 2)*(y + 4)
Let c(m) be the third derivative of 2/105*m**5 + 11*m**2 + 39/28*m**4 + 0*m + 0 + 29/21*m**3. Factor c(d).
2*(d + 29)*(4*d + 1)/7
Let w(j) = 89*j + 893. Let t be w(-10). Let a be t/(-6) - 240/(-96). Find q, given that -4/3*q**a + 0*q + 4/3 = 0.
-1, 1
Let p(z) be the first derivative of z**8/9240 + z**7/4620 + z**3 + 5*z**2/2 - 15. Let t(w) be the third derivative of p(w). Find s, given that t(s) = 0.
-1, 0
Let g(d) be the second derivative of -d**4/24 + 193*d**3/3 - 37249*d**2 - 7*d - 48. Solve g(m) = 0.
386
Suppose -4232/7*x**3 + 184/7*x**2 + 0 - 2/7*x = 0. Calculate x.
0, 1/46
Find y, given that -6031*y**3 + 2*y - 4*y**4 + 5995*y**3 - 75*y**2 + 19*y**2 - 2*y = 0.
-7, -2, 0
Let u(g) be the third derivative of g**8/60480 - g**7/3024 - g**5/20 + g**4/12 + 3*g**2 + 47. Let x(k) be the third derivative of u(k). Factor x(a).
a*(a - 5)/3
Determine g, given that 155*g**3 - 24*g - 11*g**4 - 6*g**5 - 89*g**4 + 7*g**4 + 34*g**4 - 14*g**2 = 0.
-12, -1/3, 0, 1/2, 2
Let f(o) be the third derivative of -o**6/80 - o**5/2 - 41*o**4/16 + 85*o**3/2 + 3107*o**2. Find h, given that f(h) = 0.
-17, -5, 2
Let v(l) be the first derivative of -l**7/21 + 2*l**6/3 - 5*l**5/2 - 65*l + 175. Let h(d) be the first derivative of v(d). Find a such that h(a) = 0.
0, 5
Let k(m) be the third derivative of -m**5/12 + 55*m**4/6 - 525*m**3/2 + m**2 + 4*m + 101. Factor k(l).
-5*(l - 35)*(l - 9)
Let v(t) be the first derivative of t**4/10 - 68*t**3/15 + 352*t**2/5 - 2304*t/5 + 3018. Find d, given that v(d) = 0.
8, 18
Let d(u) be the first derivative of -1/3*u**3 - 13*u + 64 - 7*u**2. Factor d(h).
-(h + 1)*(h + 13)
Suppose -7*x + g + 3 = -6*x, 0 = -2*x + 4*g + 8. Suppose -4*l + 5*i = 9, 2*i - 8 = x. Factor 13*p**3 + 16 - l*p**3 - p**3 + 60*p**2 + 20*p**3 + 52*p + 4*p**4.
4*(p + 1)**3*(p + 4)
Let y be 4 + 3/(-21)*-14. Let q be 13 - (-228)/(-24) - y/(-4). Factor 6/13*l**3 + 0*l + 6/13*l**4 + 2/13*l**q + 0 + 2/13*l**2.
2*l**2*(l + 1)**3/13
Let g(h) be the first derivative of -3*h**5/5 - 45*h**4/4 - 63*h**3 - 255*h**2/2 - 108*h - 1472. Factor g(z).
-3*(z + 1)**2*(z + 4)*(z + 9)
Let l(k) be the second derivative of k**4/48 - 313*k**3/12 - 4592*k - 1. Suppose l(v) = 0. Calculate v.
0, 626
Let p(u) = 20*u - 198. Let y be p(10). Factor -b**2 + 23*b + 5*b - 2*b + b**y + 2*b**2 - 28.
2*(b - 1)*(b + 14)
Let k(v) be the first derivative of -2*v**6/3 + 500*v**5 - 96715*v**4 - 1175620*v**3/3 - 590320*v**2 - 394384*v - 912. Factor k(b).
-4*(b - 314)**2*(b + 1)**3
Let p(a) be the first derivative of 20/9*a**3 + 7*a**4 + 0*a + 76/15*a**5 + 2/3*a**6 + 17 + 0*a**2. Find q such that p(q) = 0.
-5, -1, -1/3, 0
Let x(r) be the second derivative of 1/6*r**4 + 0*r**2 - 1 - 1/30*r**5 - 2/9*r**3 - 5*r. Factor x(f).
-2*f*(f - 2)*(f - 1)/3
Let a be (-1586)/(-12)*4*(-219)/(-146). Let x = -2375/3 + a. Let 0 - n - x*n**2 - 1/3*n**3 = 0. What is n?
-3, -1, 0
Let s(o) be the third derivative of o**7/42 + o**6/8 - o**5/12 - 5*o**4/8 - 202*o**2 - 2*o. Find b such that s(b) = 0.
-3, -1, 0, 1
Let c(z) be the third derivative of -z**8/84 + 34*z**7/105 - 3*z**6/5 - 166*z**5/15 - 205*z**4/6 - 50*z**3 - 25*z**2 + 86. Factor c(h).
-4*(h - 15)*(h - 5)*(h + 1)**3
Let a be (-10 - -6) + (3 - -6). Let c be a - (1 + 2) - 0. Factor -25/7 + 10/7*h - 1/7*h**c.
-(h - 5)**2/7
Let h(z) be the second derivative of -9*z**5/100 - 221*z**4/5 + 1774*z**3/15 - 592*z**2/5 - 5*z - 683. Determine f, given that h(f) = 0.
-296, 2/3
Factor -53/3*x - 1/3*x**3 - 26/3 - 28/3*x**2.
-(x + 1)**2*(x + 26)/3
Let v(r) be the third derivative of r**6/30 + 40*r**5 + 399*r**4/2 + 1196*r**3/3 - 2*r**2 + 1011. Find q, given that v(q) = 0.
-598, -1
Let d(a) be the first derivative of -2*a**3/51 - 23*a**2/17 - 152*a/17 + 1116. Factor d(f).
-2*(f + 4)*(f + 19)/17
Suppose -6*u = 10*u - 864. Let l = 273/5 - u. Factor 0*n + 0 + 1/5*n**3 + l*n**2.
n**2*(n + 3)/5
Determine c, given that 242375*c - 4*c**2 - 484222*c + 242119*c - 528 = 0.
2, 66
Let d(y) be the first derivative of y**7/3780 - y**6/270 - y**5/36 - 2*y**4/27 - 10*y**3 + 31. Let j(c) be the third derivative of d(c). Factor j(r).
2*(r - 8)*(r + 1)**2/9
Let w(k) = 40*k**2 + 9108*k + 9080. Let t(m) = -114*m**2 - 27322*m - 27242. Let b(q) = 6*t(q) + 17*w(q). Suppose b(z) = 0. Calculate z.
-2273, -1
Let s(y) = y**2 + 5*y + 7. Let g(r) = -7. Let p(x) = 1. Let z(w) = -g(w) - 6*p(w). Let n = 59 - 61. Let h(l) = n*s(l) + 6*z(l). Suppose h(j) = 0. What is j?
-4, -1
Let w = 35 - -88. Suppose -3*t + 3*x + 0*x = -w, 107 = 3*t + 5*x. Factor -2*g**5 + 2*g**3 + t*g**2 - 39*g**2.
-2*g**3*(g - 1)*(g + 1)
What is w in 132*w**2 + 6*w**3 + 456*w**2 + 126 - 504*w**3 + 164*w**2 + w**5 + 122*w**4 - 503*w = 0?
-126, 1
Let w(l) be the third derivative of l**8/196 - l**7/735 - l**6/14 + l**5/42 + 2*l**4/7 - 4*l**3/21 + 2*l**2 + 70. What is h in w(h) = 0?
-2, -1, 1/6, 1, 2
Let a(f) be the second derivative of 50*f**6/3 + 60*f**5 + 80*f**4 + 128*f**3/3 + 2777*f. Factor a(x).
4*x*(5*x + 4)**3
Let w(q) be the third derivative of -59/192*q**4 + 233*q**2 - 5/4*q**3 + 0*q + 1/480*q**5 + 0. Factor w(h).
(h - 60)*(h + 1)/8
Let g(x) = -1. Let j(y) = -5*y + 15. Let v(l) = 15*g(l) + j(l). Let w be v(-1). Factor -3*p**w + p**2 - 3*p**4 + 3*p**2 + 3*p**3 + 2*p**2 - 3*p**2.
-3*p**2*(p - 1)*(p + 1)**2
Factor 1849/4*s**2 + 9 - 129*s.
(43*s - 6)**2/4
Let m(h) be the second derivative of 1/13*h**2 - 7 + h + 1/13*h**3 + 1/26*h**4 + 1/130*h**5. Factor m(l).
2*(l + 1)**3/13
Suppose 2*r + 5*r = 42. Factor -44*o**2 + r*o**3 + 10*o**3 + o + 7*o + 0*o + 20*o**4.
4*o*(o - 1)*(o + 2)*(5*o - 1)
Let x(l) be the second derivative of -2*l**6/15 + 51*l**5/5 - 673*l**4/3 + 350*l**3 + 2500*l**2 + 58*l - 8. Let x(d) = 0. Calculate d.
-1, 2, 25
Let v(c) be the second derivative of -32*c**7/7 - 6256*c**6/15 + 2653*c**5/5 + 854*c**4/3 - 530*c**3/3 - 132*c**2 - 8854*c. Suppose v(w) = 0. Calculate w.
-66, -1/4, 1/3, 1
Factor -60*u**3 + 30*u**4 - 420*u - 113*u**4 + 38*u**4 + 825 - 342*u**2 + 42*u**4.
-3*(u - 1)*(u + 5)**2*(u + 11)
Suppose 49*q + 193*q + 4513 = 4997. Factor 16/3 + 20/3*s - 2*s**q.
-2*(s - 4)*(3*s + 2)/3
Let p(r) = -260*r**2 + 11820*r + 7928. Let x(k) = 82*k**2 - 3940*k - 2642. Let w(f) = -5*p(f) - 16*x(f). What is h in w(h) = 0?
-2/3, 329
Let n(x) be the third derivative of 6/5*x**3 + 3/10*x**4 + 0*x - 1/150*x**6 + 0 - 1/75*x**5 - 46*x**2. Factor n(r).
-4*(r - 3)*(r + 1)*(r + 3)/5
Suppose 1340 = 14*p + 332. Let x be (-10)/p - 255/(-204). Let -2/9*z**3 + 2/3 - 14/9*z + x*z**2 = 0. What is z?
1, 3
Find s such that -1599/4 - 1593/8*s + 3/8*s**2 = 0.
-2, 533
Let g be (4 - (-68)/(-16))*(3 - (-108)/(-20)). Factor -9/5*k**2 - g*k**3 + 18/5*k + 24/5.
-3*(k - 2)*(k + 1)*(k + 4)/5
Let q(f) = 45*f**2 - 156*f + 132. Let l(p) = p**2 