irst derivative of -x**5/40 + 7*x**4/16 - 15*x**3/8 - 7*x**2/2 + 49*x/2 - 706. Let z(a) = 0. Calculate a.
-2, 2, 7
Factor 610 - 401*d + 145466 + 98778 + 53262 + d**2 - 691*d.
(d - 546)**2
Let r(q) be the second derivative of q**4/3 - 674*q**3/3 - 3001*q + 2. Suppose r(h) = 0. Calculate h.
0, 337
Suppose -5*g - 12*d = -15*d - 58, -25 = 3*d + 23. Factor 13*o**g + 324 + 144*o + 1/3*o**3.
(o + 3)*(o + 18)**2/3
Let g(h) be the second derivative of -60*h + 5/6*h**3 - 5/12*h**4 - 1/4*h**5 + 0 + 5/2*h**2. Let g(z) = 0. Calculate z.
-1, 1
What is f in 1306*f**3 + 3 + 80*f**2 + 9*f**4 - 1258*f**3 - 5*f**4 - 3 = 0?
-10, -2, 0
Find m such that -743/8*m - 93 + 1/8*m**2 = 0.
-1, 744
Let z(a) be the second derivative of 0*a**4 + 0 + 0*a**6 + 0*a**3 - 2/105*a**7 + 1/25*a**5 + 0*a**2 - 45*a. Factor z(y).
-4*y**3*(y - 1)*(y + 1)/5
Suppose 2*n - 19*r + 87 = 0, -3*n - 5*r + 60 = 23. Determine s, given that -20/7 - 33/7*s**2 - 1/7*s**n - 10/7*s**3 - 44/7*s = 0.
-5, -2, -1
Let j(m) be the second derivative of -m**5/90 - 121*m**4/18 + 730*m**3/27 - 1491*m. Suppose j(i) = 0. Calculate i.
-365, 0, 2
Suppose 5*j - 800 = -3*j. What is p in -3*p - 5*p**3 + 83*p + j - 61*p**2 + 66*p**2 = 0?
-2, 5
Let y(w) = 12*w**3 + 100*w**2 + 72*w - 60. Let m(d) = d**3 + 2*d**2 - d - 4. Let a(o) = -44*m(o) + 2*y(o). Factor a(u).
-4*(u - 7)*(u + 1)*(5*u + 2)
Let q(p) = -490*p - 4408. Let l be q(-9). Let d(t) be the first derivative of -3/4*t**l + 1/4*t**3 + 3/4*t - 40. Find y such that d(y) = 0.
1
Let w(f) = -f**3 - 11*f**2 + 3*f + 17. Let n be w(-11). Let o(s) = -s**3 - 17*s**2 - 17*s - 16. Let v be o(n). Factor -1/2*d**2 - 3/4*d + v.
-d*(2*d + 3)/4
Let p(s) = -4*s + 64*s**3 - 19 + 5 - 4*s**2 - 65*s**3. Let v be p(-4). Factor 2*o**2 + 26*o - 26*o + 0*o**v.
2*o**2
Suppose -83*k - 11 = 4*f - 86*k, -4*f + 79 = 7*k. Solve 12*p**2 + 1/2*p**4 - f*p**3 + 8 - 16*p = 0.
2
Let t(l) be the third derivative of l**6/90 - 17*l**5/15 + 289*l**4/6 + 3*l**3 + 43*l**2. Let s(c) be the first derivative of t(c). Let s(i) = 0. Calculate i.
17
Let d(x) be the third derivative of 0 - 81*x**2 + 0*x**3 - 2/35*x**6 - 2/735*x**7 - 11/105*x**5 + 0*x + 0*x**4. Factor d(w).
-4*w**2*(w + 1)*(w + 11)/7
Let u = 22/171 - -83/684. Let v(f) be the second derivative of -1/2*f**3 + 6*f + u*f**4 - 3*f**2 + 0. Factor v(g).
3*(g - 2)*(g + 1)
Let l be 5 + 2*872/(-16). Let n = l + 107. Factor 8/9 - 14/9*s + 2/9*s**n + 4/9*s**2.
2*(s - 1)**2*(s + 4)/9
Let p(a) be the first derivative of 1/18*a**6 - 1/15*a**5 + 0*a**2 + 0*a + 50 + 1/9*a**3 - 1/12*a**4. Factor p(x).
x**2*(x - 1)**2*(x + 1)/3
Let n(y) be the third derivative of y**7/560 + 7*y**6/320 + 3*y**5/32 + 9*y**4/64 - 1897*y**2. Factor n(k).
3*k*(k + 1)*(k + 3)**2/8
Let v(q) be the first derivative of -q**4 + 412*q**3/3 - 600*q**2 - 1098. Solve v(c) = 0.
0, 3, 100
Let u(d) be the first derivative of 4*d**5/5 + 26*d**4 + 452*d**3/3 + 344*d**2 + 336*d + 780. Solve u(i) = 0.
-21, -2, -1
Let n(x) be the third derivative of x**5/360 - 3*x**4/8 + 53*x**3/36 + 1152*x**2. Factor n(i).
(i - 53)*(i - 1)/6
Let m(u) = -3*u**3 - u**2. Let t(o) = o**4 - 13*o**3 - 30*o**2 - 2*o + 24. Suppose -7 = -13*h + 32. Let z(q) = h*t(q) - 15*m(q). Determine s so that z(s) = 0.
-6, -1, 1, 4
Find f, given that -7*f - 6317686 + 6322726 + 3*f**2 + 388*f = 0.
-112, -15
Let a(j) be the first derivative of -j**6/24 - 33*j**5/20 - 31*j**4/16 + 11*j**3/4 + 4*j**2 + 2414. Find z, given that a(z) = 0.
-32, -1, 0, 1
Find w such that 252*w - 17*w**2 - 45*w**3 - 160*w - 5*w**4 + 97*w**2 + 208*w = 0.
-10, -2, 0, 3
Factor 0*o + 0 + 0*o**2 + 1/6*o**4 - 22*o**3.
o**3*(o - 132)/6
Factor -1600704*p + 9039*p**2 - 1170648*p + 521*p**2 - 5*p**3 - 1798328*p.
-5*p*(p - 956)**2
Let r be (-39)/(-91) - 2262/(-14). Factor 79*m + 4*m**2 - r*m - 12 + 70*m.
(m - 4)*(4*m + 3)
Let x be (2646/8)/((-54)/(-648)). Find c such that -12*c + 10*c - c**2 - x + 128*c = 0.
63
Let k be ((-5)/8)/((-295)/6254) - (-36 + 47). Determine n so that k - 7/2*n**2 + 5/4*n**4 + 1/2*n**3 - 3/4*n + 1/4*n**5 = 0.
-3, -1, 1
Let o = 1/4533 + 1007/1511. Factor -2/15*v**2 - 4/5*v - o.
-2*(v + 1)*(v + 5)/15
Let l(m) be the third derivative of -m**9/60480 - m**8/10080 - m**7/5040 + 43*m**5/60 + 10*m**2 - 6. Let i(q) be the third derivative of l(q). Factor i(z).
-z*(z + 1)**2
Let d = 688135 - 688133. What is i in -20/3*i**3 + 44*i**d + 1/3*i**4 + 256/3 - 320/3*i = 0?
2, 8
Factor 5/6*u**2 + 0 - 235/6*u.
5*u*(u - 47)/6
Let j be (18/(-741))/(-11 + (-6020)/(-559)). Let j*k**2 - 236/19*k + 6962/19 = 0. Calculate k.
59
Factor 2/3*d + 2/3*d**4 - 2*d**2 + 4/3 - 2/3*d**3.
2*(d - 2)*(d - 1)*(d + 1)**2/3
Suppose -u + 0*o - 4*o + 14 = 0, 0 = -3*u - 4*o + 18. Factor 20 + 12*b**2 - 8*b - 20 + 7*b**u - b**2.
2*b*(9*b - 4)
Let m(k) be the third derivative of -k**5/90 - 49*k**4/18 + 11*k**3 - 973*k**2 - k. Factor m(f).
-2*(f - 1)*(f + 99)/3
Let z(q) be the second derivative of q**4/6 + 252*q**3 + 142884*q**2 + 503*q - 2. Factor z(x).
2*(x + 378)**2
Let t = 38527/3 + -12837. Let w(s) be the first derivative of 0*s + s**4 - 10*s**2 - 26 + t*s**3. Solve w(q) = 0 for q.
-5, 0, 1
Let h = -5/21556 - -36377/5389. Find f, given that 6*f**2 + h*f + 7/4 - f**3 = 0.
-1/2, 7
Let n(t) = -6*t**2 - 52*t - 29. Let s be 18/(-99) + (-688)/88. Let v be n(s). What is w in 3/5*w**2 + 9/5 - 3/5*w**v + 3*w = 0?
-1, 3
Let f(b) = 5*b**2 - 8950*b - 4005129. Let h(m) = 65*m**2 - 107400*m - 48061550. Let d(y) = -25*f(y) + 2*h(y). Suppose d(c) = 0. Calculate c.
-895
Let v = -1465 - -1465. Let f(h) be the second derivative of 0*h**3 - 13*h + v + 2/5*h**5 + 1/3*h**4 + 0*h**2 + 2/15*h**6. Suppose f(s) = 0. What is s?
-1, 0
Let o = 51 + -41. Suppose -o = -12*i + 10*i. Let 2*q**5 + 4*q**4 + 6*q**3 - 3*q**i - 5*q + 9527*q**2 - 9531*q**2 = 0. What is q?
-1, 0, 1, 5
Let l(x) = 19*x**3 + 1154*x**2 + 81801*x - 5. Let p(r) = -11*r**3 - 578*r**2 - 40901*r + 3. Let k(o) = 3*l(o) + 5*p(o). Factor k(d).
2*d*(d + 143)**2
Suppose -4*m - 5*f + 91 = 74, 0 = -m - f + 4. Factor 26/3*g**4 - 1/3*g + 7/3*g**5 + 16/3*g**2 - 2/3 + 34/3*g**m.
(g + 1)**4*(7*g - 2)/3
Let k = 163595/36 - 40892/9. Let k*w**5 + 3/4*w**2 + 0*w - 3/4*w**3 - 3/4*w**4 + 0 = 0. What is w?
-1, 0, 1
Factor -388*b**3 - 2100*b + 192*b**2 + 778*b**3 - 394*b**3 - 235 + 6899.
-4*(b - 34)*(b - 7)**2
Let o(w) be the second derivative of 25/2*w**3 - w + 1/6*w**6 + 155/12*w**4 - 19 + 0*w**2 + 17/4*w**5. Factor o(c).
5*c*(c + 1)**2*(c + 15)
Let n(j) = 19*j**2 - 131*j - 12. Let f(h) = 22*h**2 - 133*h - 14. Let y(v) = -6*f(v) + 7*n(v). Factor y(i).
i*(i - 119)
Let n(a) = -a**2 - 3. Let u(r) = -r**3 - 216*r**2 + 3. Let y(v) = 5*n(v) + 5*u(v). Factor y(o).
-5*o**2*(o + 217)
Let h = 157 + -125. Factor -183*y - 84*y**2 + h*y**2 + 31*y**2 + 45 + 33*y**2.
3*(y - 15)*(4*y - 1)
Suppose l = 4*l - 24. Let i be 4/l + (-35)/(-10). Factor i*a**4 - 2*a**5 - 5*a**3 + 0*a**3 - 3*a**5 - 14*a**4.
-5*a**3*(a + 1)**2
Suppose 15 = 5*q - 10*q. Let h be (-420)/(-63) - (-2)/q. Suppose -84*i + 160*i - 84*i - h - 2*i**2 = 0. What is i?
-3, -1
Let d(c) = c + 30. Let i be d(-25). Factor -5*g + 5*g + 5*g**3 - 30*g**2 - i*g**2.
5*g**2*(g - 7)
Let b(z) be the second derivative of 0*z**2 + 87*z - 7/6*z**6 + 20/3*z**4 - 10/3*z**3 + 0 - 5/4*z**5. Suppose b(h) = 0. Calculate h.
-2, 0, 2/7, 1
Factor -104/5*k**4 + 4/5*k**5 - 10368/5 + 1056/5*k**3 - 5184/5*k**2 + 12096/5*k.
4*(k - 6)**4*(k - 2)/5
Let o(a) be the third derivative of -a**5/180 + 11*a**4/8 + a**2 - 645. Determine s so that o(s) = 0.
0, 99
Let c(v) = 74*v**2 + 2865*v + 5716. Let g(u) = 467*u**2 + 17190*u + 34298. Let f(t) = -19*c(t) + 3*g(t). Find b, given that f(b) = 0.
-571, -2
Let h(j) be the second derivative of -37*j + 17/4*j**4 + 2 - 8*j**3 + 0*j**2 - 3/20*j**5. Solve h(k) = 0 for k.
0, 1, 16
Let c(a) = a**3 - 3*a**2 + 2*a - 1. Let p be c(3). Suppose 5*h + 27 = 4*r + 2*h, p*r - 25 = -5*h. Factor 4*l**3 + 32*l + 4*l**3 - r*l**3 - 16*l**2.
2*l*(l - 4)**2
Let d(i) be the first derivative of -i**8/336 - i**7/42 + i**6/24 + 3*i**5/4 - 23*i**3 - i - 82. Let b(j) be the third derivative of d(j). Factor b(c).
-5*c*(c - 2)*(c + 3)**2
Let m = 232 + -224. Suppose 25*y + m*y**4 - 40*y**2 - 117*y**3 + 3*y**5 + 123*y**3 - 2*y**5 = 0. Calculate y.
-5, 0, 1
Let t(n) = -15*n**3 - 2580*n**2 - 7623*n - 5022. Let g(i) = -6*i**3 - 1032*i**2 - 3049*i - 2008. Let 