ird derivative of 1/24*i**6 + 1/10*i**5 + 0*i**3 - 1/1344*i**8 + 0*i**4 + 0 + 1/420*i**7 + 63*i**2 + 0*i. Find r, given that z(r) = 0.
-2, 0, 6
Let n(q) be the first derivative of -4*q - 4/3*q**3 + 244 - 4*q**2. Factor n(f).
-4*(f + 1)**2
Suppose 59*c = 11*c - 30*c + 390. Let g(n) be the second derivative of -49/20*n**c + 0 + 15*n + 56/3*n**4 + 8*n**2 - 58/3*n**3. Determine j so that g(j) = 0.
2/7, 4
Let v = -444 - -447. Suppose -3*d**4 - d**2 - 62 - 8*d**3 + 2*d**4 + 24*d + 2*d**v + 46 = 0. What is d?
-4, 1
Let t(x) be the first derivative of -155/2*x**2 - 65/3*x**3 + 4 - 45*x. Let n(b) = 3*b**2 + 7*b + 2. Let u(h) = -45*n(h) - 2*t(h). Factor u(k).
-5*k*(k + 1)
Let p = -2266819/15 + 151123. Find i such that -p*i**4 - 2/15*i**5 + 0*i + 0 + 98/15*i**2 - 14/3*i**3 = 0.
-7, 0, 1
Let t(l) = 0*l**2 - 5*l**2 + 2*l**3 + 2*l**3 - 9*l**2 - 2*l**3 - 706 - 280*l. Let q(w) = w**3 + w**2 - 4*w + 1. Let j(b) = 2*q(b) + t(b). Factor j(o).
4*(o - 11)*(o + 4)**2
Let l(t) be the first derivative of t**6/40 + 3*t**5/20 + 3*t**4/8 + t**3/2 + 3*t**2/2 + 49*t + 208. Let x(y) be the second derivative of l(y). Factor x(p).
3*(p + 1)**3
Let m be (-7)/((-8 - -3) + 188/(-24)). Factor -m*x**2 - 2/11*x**4 - 2/11*x + 0 - 6/11*x**3.
-2*x*(x + 1)**3/11
Let p(c) = c**3 - 13*c**2 - 16*c + 25. Let y be p(14). Let t be (3/(-9))/(y/144). Determine z, given that -4*z**3 + z**2 + 28*z - t - 6*z**2 - 3*z**2 = 0.
-4, 1
Let k = 44135 + -44101. Let o(n) be the second derivative of 3/2*n**2 - 3/2*n**3 + 9/20*n**5 + k + n + 1/4*n**4 - 1/5*n**6. Determine a so that o(a) = 0.
-1, 1/2, 1
Suppose -2*y = -6, 4*y - 24 = -4*h - 20. Let k be (-335)/402*((-28)/(-15) + h). Factor 0*f**2 + 0*f**4 - 1/9*f**5 + 0 + 2/9*f**3 - k*f.
-f*(f - 1)**2*(f + 1)**2/9
Let n(b) be the third derivative of b**7/1050 + b**6/120 - b**5/150 - b**4/5 + 1277*b**2 - b. Suppose n(h) = 0. Calculate h.
-4, -3, 0, 2
Suppose -156*z + 4/7*z**2 + 1088/7 = 0. Calculate z.
1, 272
Let u be 9061/3315 + (-16)/(-60). Factor 6*y**2 - 9/2*y**4 + 0*y + 3/2*y**5 + 0 + 0*y**u.
3*y**2*(y - 2)**2*(y + 1)/2
Let w(z) be the third derivative of 0*z**3 + 1/3*z**4 + 0 + 5*z + z**2 - 1/40*z**6 - 1/6*z**5. Determine l so that w(l) = 0.
-4, 0, 2/3
Let j be (-851)/(-2) - -8*15/(-80). Determine r so that j*r**2 - 1973*r**3 + 1895*r**3 + 1245*r**2 + 5476 + r**4 - 43*r - 5729*r = 0.
2, 37
Determine s, given that 4*s**2 - 60*s + 264 + 59 - 1947 = 0.
-14, 29
Let z(q) = 5*q**4 - 38*q**3 + 145*q**2 - 209*q + 104. Let l(w) = 5*w**4 - 39*w**3 + 145*w**2 - 207*w + 102. Let o(y) = -7*l(y) + 6*z(y). Factor o(r).
-5*(r - 3)**2*(r - 2)*(r - 1)
Let n(a) be the third derivative of a**6/420 - 79*a**5/210 - 55*a**4/28 + 81*a**3/7 - 2*a**2 - 59*a. Factor n(g).
2*(g - 81)*(g - 1)*(g + 3)/7
Suppose -6*j = -j - 205. Suppose 4*f = 5*x + j, -f - x - 11 = 2*x. Factor -f*g**3 + 227*g**4 + 4*g**5 - 227*g**4.
4*g**3*(g - 1)*(g + 1)
Let n(z) be the third derivative of z**7/8820 + z**6/315 + 4*z**5/105 - 37*z**4/24 + 82*z**2. Let v(m) be the second derivative of n(m). Factor v(h).
2*(h + 4)**2/7
Let m be (-126)/(-14)*(-2)/(-3) - 3. Suppose -4*x + 0*q + 29 = 3*q, -q = 3*x - 18. Factor 5*y + m*y**4 - 6*y**2 - 4*y**4 - x*y - 1 + 4*y + 4*y**3.
-(y - 1)**4
Let r be 10/25 - (-1424)/(-10). Let m = -127 - r. Factor -m + 0*z + 25 + z**2 - 3*z - 2*z**2.
-(z - 2)*(z + 5)
Let o(j) be the third derivative of -j**7/840 + 7*j**6/240 - 3*j**5/20 + j**4/8 + 2*j**3 - 30*j**2. Let t(h) be the second derivative of o(h). Factor t(p).
-3*(p - 6)*(p - 1)
Let l(i) be the second derivative of 1/15*i**5 + 2*i**3 + 5/6*i**4 + 0 + 7*i**2 + 4*i - 1/30*i**6. Let g(n) be the first derivative of l(n). Solve g(z) = 0.
-1, 3
Let t(q) be the third derivative of -3/20*q**6 + 7/8*q**4 + 1/10*q**5 + 0*q + 11 - 1/112*q**8 - 1/14*q**7 + 3*q**2 + 3/2*q**3. Solve t(c) = 0.
-3, -1, 1
Suppose 2*g + 7*m - 38 = 5*m, -5*g + 75 = -5*m. Suppose -g*r = -10*r. Find a such that 18/5*a**3 + 8/5*a**4 + 12/5*a**2 + r + 2/5*a = 0.
-1, -1/4, 0
Let l(t) be the first derivative of 2*t**5/5 - 23*t**4/2 + 376*t**3/3 - 640*t**2 + 1536*t + 645. Factor l(b).
2*(b - 8)**2*(b - 4)*(b - 3)
Let t(g) be the third derivative of -g**8/16800 + g**7/700 - g**6/90 + g**5/25 - 109*g**4/12 + 24*g**2. Let v(c) be the second derivative of t(c). Factor v(a).
-2*(a - 6)*(a - 2)*(a - 1)/5
Let l(r) be the first derivative of 4*r**5/3 - 253*r**4/3 - 5888*r**3/9 - 4456*r**2/3 - 896*r + 2956. Suppose l(f) = 0. What is f?
-3, -2, -2/5, 56
Let a(s) be the second derivative of -9/50*s**5 + 1/75*s**6 + 13/30*s**4 + 3*s**3 + 0 - 10*s**2 + 95*s. Factor a(g).
2*(g - 5)**2*(g - 1)*(g + 2)/5
Let i be ((-200)/(-12))/((-870)/(-87)). Factor -44/3*g - i*g**2 - 32/3.
-(g + 8)*(5*g + 4)/3
Let z(c) = 64*c**2 - 35*c. Let k = -598 + 603. Let d(y) = 3*y**3 - 63*y**2 + 36*y. Let w(x) = k*d(x) + 6*z(x). Let w(l) = 0. Calculate l.
-5, 0, 2/5
Factor 5464*j**2 + 328536 + 2585*j**2 + 3604*j**2 - 21*j**3 - 1929*j**2 - 1152684*j + 110*j**2.
-3*(j - 234)**2*(7*j - 2)
Let b = 19501 - 19498. Let v(t) be the third derivative of 0 + t - 2/7*t**b + 0*t**4 + 1/140*t**5 - 13*t**2. Factor v(k).
3*(k - 2)*(k + 2)/7
Solve 248*d**2 - 139 - 80*d**2 - 80*d**2 + 3 + 540*d - 72*d**2 = 0 for d.
-34, 1/4
Let m(c) = -c**5 - 6*c**4 - 2*c**3 + 2*c**2. Let d(j) = 2*j**5 - 6*j**4 - 4*j**3 + 78*j**2 - 99*j + 36. Let u(r) = -4*d(r) - 4*m(r). Let u(l) = 0. Calculate l.
-3, 1, 12
Find d such that -1852*d - 14653 + 5637 + 5328 + 3*d**2 - 7*d**2 = 0.
-461, -2
Factor -530*d**3 - 5*d**4 + 15020*d**2 - 28883*d - 20587*d + 10*d**4 + 5246 - 70271.
5*(d - 51)**2*(d - 5)*(d + 1)
Let l be 2/28 - (-51184)/7840. Find i, given that -36/5*i - l - 3/5*i**2 = 0.
-11, -1
Let f(s) be the third derivative of s**5/40 + 23*s**4/8 + 7*s**2 - 3*s + 16. Suppose f(c) = 0. Calculate c.
-46, 0
Let x(o) be the third derivative of -30*o**2 - 3/400*o**6 + 2/3*o**3 + 0*o + 13/100*o**5 + 0 + 29/60*o**4. Factor x(d).
-(d - 10)*(3*d + 2)**2/10
Let u(a) be the first derivative of 0*a - 25/2*a**2 + 37 - 1/10*a**5 + 1/40*a**6 + 4*a**3 - 1/2*a**4. Let m(h) be the second derivative of u(h). Factor m(y).
3*(y - 2)**2*(y + 2)
Let m(t) = -3*t**2 - 519*t - 566. Let j(z) = -2*z**2 - 522*z - 560. Let y(g) = 5*j(g) - 4*m(g). Factor y(v).
2*(v - 268)*(v + 1)
Find w, given that -57*w - 3/2*w**2 + 252 = 0.
-42, 4
Let f be (-12)/18 - (-3950)/90. Let c = -43 + f. Suppose 0 + 0*g + 20/9*g**3 - c*g**2 - 50/9*g**4 = 0. Calculate g.
0, 1/5
Factor -6221*q**2 + 0*q + 10*q + 2*q - 40 + 6225*q**2.
4*(q - 2)*(q + 5)
Let j(i) be the second derivative of 57*i - 5/24*i**4 - 2/3*i**3 - 2 + 0*i**2 - 1/80*i**5. Let j(x) = 0. Calculate x.
-8, -2, 0
Let s = 96/205 - -2691/820. Let f(m) be the second derivative of -s*m**4 + 6*m + 0 - 1/4*m**5 + 125/2*m**2 - 25/2*m**3. Factor f(q).
-5*(q - 1)*(q + 5)**2
Let r = 12223 - 12223. Let o(h) be the third derivative of 1/24*h**6 + r - 85/24*h**4 + 15/2*h**3 + 7/12*h**5 + 0*h + 35*h**2. Factor o(g).
5*(g - 1)**2*(g + 9)
What is z in -5/8*z**2 - 1/8*z**3 - 3/4*z + 0 = 0?
-3, -2, 0
Let d(u) be the first derivative of -u**6/10 - 33*u**5/10 - 121*u**4/4 - 67*u - 8. Let k(z) be the first derivative of d(z). Factor k(r).
-3*r**2*(r + 11)**2
Let b(m) be the first derivative of -3*m**5/5 + 33*m**4/2 - 59*m**3 + 57*m**2 + 1469. Solve b(p) = 0.
0, 1, 2, 19
Let 1112/5*k**2 + 4496/5*k + 4512/5 - 4/5*k**3 = 0. What is k?
-2, 282
Let q(o) = o**3 - 55*o**2 - 48*o - 430. Let t be q(56). Let j be (-4)/3*(-63)/6. Factor -j*v**2 - 2*v**4 - t*v**2 - 5*v**3 - 11*v**3.
-2*v**2*(v + 4)**2
Let z(m) = -m**4 - 823*m**3 + 77*m + 7. Let k(u) = -u**4 - 549*u**3 + 55*u + 5. Let c(x) = -7*k(x) + 5*z(x). Let c(o) = 0. Calculate o.
0, 136
Let h be 9637/(1 - (4 + 6)). Let g = -1069 - h. Let -14/9*r - g + 2/9*r**2 = 0. What is r?
-1, 8
Let p(o) be the third derivative of -1/60*o**5 + 5/3*o**3 + 0 + 3/8*o**4 + 2*o + 4*o**2. Find n such that p(n) = 0.
-1, 10
Let a(i) be the first derivative of 3*i**4/28 - 113*i**3/7 - 522*i**2/7 + 10147. What is n in a(n) = 0?
-3, 0, 116
Suppose -5*n + 17733 = -8752. Determine w so that -12 + 2*w**2 - n*w - 16 + 5287*w = 0.
-2, 7
Let w be (-1 + 1)*(-17)/(29 - -5). Suppose w = l + 381 - 385. Solve -11/3*o + 4*o**2 - 4/3*o**l + 1/3*o**3 + 2/3 = 0.
-2, 1/4, 1
Let u be 5 + (1 - -8) + -8 + 520/(10/2). Let -u*i - 1210*i**2 - 5/2 = 0. Calculate i