+ 45. Let s(w) be the first derivative of -8/3*w**p + 0*w**2 + 0*w + 9*w**4 + 33. Solve s(z) = 0 for z.
0, 2/9
Let v(i) be the third derivative of 0 - 1/30*i**6 + 0*i - 40/3*i**3 + 8/3*i**4 - 1/15*i**5 - 91*i**2. Find d such that v(d) = 0.
-5, 2
Solve 777*k**2 + 5*k**3 - 3*k**3 - 44*k + 112 - 787*k**2 = 0 for k.
-4, 2, 7
Let b be -65 + 29 + 45 + (-66)/(-10). Let -b*u**3 + 28/5*u**4 - 8/5 + 34/5*u**2 + 24/5*u = 0. Calculate u.
-1/2, 2/7, 1, 2
Let o(k) = k**2 + 89*k + 261. Let b be o(-86). Let t(n) be the second derivative of 0 + 6*n - 1/12*n**4 - 2/3*n**b - 3/2*n**2. Determine m so that t(m) = 0.
-3, -1
Suppose -w = -4*s - 19, -w + 3*s = -0*w - 15. Suppose 16 - 2 = 4*c - w*m, 0 = c + 3*m - 11. Factor c*z**2 + 5 + 4 + 11 + 20*z.
5*(z + 2)**2
Suppose 28065*q - 18 = -3*x + 28068*q, 2*q = -x - 6. Determine t so that -4/5*t**4 - 22/5 - 42/5*t + 26/5*t**x + 42/5*t**3 = 0.
-1, -1/2, 1, 11
Let k(b) be the second derivative of b**6/780 + 3*b**5/65 + 17*b**4/156 + 39*b**2 - b + 16. Let y(f) be the first derivative of k(f). Solve y(o) = 0 for o.
-17, -1, 0
Find a such that -1215/2*a - 3/2*a**2 + 1221 = 0.
-407, 2
Let f(u) be the second derivative of u**4/84 + 55*u**3/42 + 53*u**2/7 + 504*u - 2. Factor f(p).
(p + 2)*(p + 53)/7
Factor 287*o**3 + 152*o + 286*o**3 - 536*o - 569*o**3 - 512*o - 100*o**2.
4*o*(o - 32)*(o + 7)
Let c(k) be the third derivative of k**7/105 - k**6/3 + 33*k**5/10 + 5*k**4/3 - 100*k**3/3 - 2200*k**2. Factor c(u).
2*(u - 10)**2*(u - 1)*(u + 1)
Suppose -5*g = -24 + 14. Factor -4 + 12*q**g - 8*q - 18*q**2 + 3 - 1.
-2*(q + 1)*(3*q + 1)
Let s(u) = -u**3 - 9*u**2 - 10*u - 14. Let l be s(-8). Find k, given that 12 - 38 + 417*k**2 + 15 + 424*k**l - 116*k + 15 = 0.
2/29
Suppose -30 = -17*k + 4. Factor 43*s**k + 2*s + 7*s - 20*s - 2*s**3 - 13*s - 17*s**2.
-2*s*(s - 12)*(s - 1)
Let 2/7*y**2 - 1900/7*y + 451250/7 = 0. Calculate y.
475
Find q such that -8*q**2 - 723 + 111 - 312*q - 58*q - 24*q - 226*q = 0.
-153/2, -1
Let u(t) be the first derivative of -4 + 0*t**2 + t + 1/36*t**4 - 1/18*t**3. Let g(r) be the first derivative of u(r). Let g(d) = 0. Calculate d.
0, 1
Let k(i) = 6*i**2 - 1. Let y(h) = -15*h**2 + 174*h + 174. Let n(o) = 3*k(o) + y(o). What is p in n(p) = 0?
-57, -1
Let z(j) be the second derivative of 3*j**5/5 - 50*j**4/9 - 58*j**3/3 - 56*j**2/3 + 2599*j. Factor z(x).
4*(x - 7)*(x + 1)*(9*x + 4)/3
Suppose 68*f + 1/2*f**3 - 31/2*f**2 - 78 = 0. Calculate f.
2, 3, 26
Let w = -96015/2 + 48012. Determine s, given that -10*s - 3*s**2 + w*s**3 - 4 = 0.
-2/3, 2
Let s(c) be the first derivative of -3*c**5/5 - 9*c**4/2 - 4*c**3 + 9*c**2 + 15*c + 3902. Solve s(m) = 0.
-5, -1, 1
Factor 10/9*j**3 - 32/9*j**2 + 0 + 2/3*j.
2*j*(j - 3)*(5*j - 1)/9
Solve 165*w**2 + 61*w**3 + 460*w + 3971 - 3671 - 56*w**3 = 0.
-30, -2, -1
Let u be 12 + -2*(-6)/(-4). Let k = 1 + u. Factor -6*c**4 + 7*c + 3*c - k*c**2 - 5*c - 3*c + 14*c**3.
-2*c*(c - 1)**2*(3*c - 1)
Let d(x) be the third derivative of x**6/585 + 3*x**5/260 + x**4/78 - 61*x**3/6 - 23*x**2 + 2. Let g(o) be the first derivative of d(o). Factor g(y).
2*(y + 2)*(4*y + 1)/13
Let l(w) be the first derivative of 9*w - 1/10*w**5 - 2 - 8*w**3 + 3/2*w**4 + 16*w**2. Let d(g) be the first derivative of l(g). Factor d(p).
-2*(p - 4)**2*(p - 1)
Let h(d) be the first derivative of 21*d**4/5 - 9224*d**3/15 + 742*d**2 - 872*d/5 + 3271. Suppose h(k) = 0. What is k?
1/7, 2/3, 109
Factor 37552384/7 - 24512/7*h + 4/7*h**2.
4*(h - 3064)**2/7
Let i be (-28)/(-6)*((-1100)/(-2475) - 76/252). Factor -8/9 + 2/9*p**2 + i*p.
2*(p - 1)*(p + 4)/9
Factor 1639/5*n + 2686321/10 + 1/10*n**2.
(n + 1639)**2/10
Suppose -585*g**2 - 705 - 392*g + 370*g**2 - 5*g**3 + 1317*g = 0. Calculate g.
-47, 1, 3
Let b(j) be the second derivative of j**9/3024 + j**8/672 - j**7/504 - j**6/72 - 9*j**4/2 - 14*j. Let y(m) be the third derivative of b(m). Factor y(l).
5*l*(l - 1)*(l + 1)*(l + 2)
Let d(s) be the first derivative of -s**9/3024 + s**8/960 + s**7/1680 - 29*s**3 + 101. Let i(g) be the third derivative of d(g). Factor i(r).
-r**3*(r - 2)*(4*r + 1)/4
Determine v, given that 2/13*v**5 - 98/13*v**3 + 0*v + 96/13*v**4 + 0 + 0*v**2 = 0.
-49, 0, 1
Let q(p) = -p**3 + 28*p**2 + 29*p + 2. Let y be q(29). Let 7*z**4 - 12*z + 5*z**3 - 11*z**4 + 15 + 7*z**4 + 7*z**3 - 18*z**y = 0. What is z?
-5, -1, 1
Let d be (-228)/105 + (-2880)/(-1120). Suppose 2/5*t**3 + 8/5*t**2 - d*t - 8/5 = 0. Calculate t.
-4, -1, 1
Let c(n) be the second derivative of -9*n**7/28 + 123*n**6/20 - 3*n**5 + 371*n + 4. Let c(a) = 0. Calculate a.
0, 1/3, 40/3
Suppose -i + 64 = -2*m, -63*m - 134 = -58*m + 4*i. Let g be 34/6 + -5*(-18)/m. Factor 4/3*c**4 - 8/3*c**2 - 2/3*c**5 + 2*c**3 + 0 - g*c.
-2*c*(c - 2)**2*(c + 1)**2/3
Let a(f) = -62*f**3 + 1190*f**2 - 1394*f + 266. Let l(s) = -20*s**3 + 397*s**2 - 465*s + 88. Let d(i) = 5*a(i) - 16*l(i). Factor d(k).
2*(k - 39)*(k - 1)*(5*k - 1)
Let z(m) be the first derivative of 2*m**5/5 - 20*m**4 - 82*m**3/3 + 288. Factor z(d).
2*d**2*(d - 41)*(d + 1)
Let w = 3/496 - 1105525/496. Let p = w + 2229. Let 1/4 + p*r - 1/8*r**2 = 0. Calculate r.
-1, 2
Let s(n) be the first derivative of n**3/9 - 29*n**2/3 - 40*n - 662. Let s(l) = 0. What is l?
-2, 60
Let m = -299 + 428. Let o = -126 + m. Suppose 0 - 1/5*l**o - 2/5*l**2 - 1/5*l = 0. What is l?
-1, 0
Let g be 0 + (-3)/(-11) + (-2737)/19635. Let a(l) be the first derivative of -1/3*l**2 + g*l**5 + 0*l - 2/9*l**3 + 1/6*l**4 + 18. Find d, given that a(d) = 0.
-1, 0, 1
Suppose 69 = 2*h + 5*c, -h - 4*c + 41 = 14. Let q = h - 39. Let 4*s**3 - 6*s**5 + q*s**4 + 4*s**5 + 6*s**5 = 0. What is s?
-1, 0
Find j, given that -4/5*j**4 + 64 - 84/5*j**3 + 84/5*j - 316/5*j**2 = 0.
-16, -5, -1, 1
Let c(d) be the second derivative of -5*d**4/12 + 65*d**3 - 2480*d**2 + 2495*d - 3. Determine v, given that c(v) = 0.
16, 62
Let k(s) be the first derivative of -s**5/10 + 193*s**4/8 - 9215*s**3/6 - 9409*s**2/4 + 7933. Factor k(q).
-q*(q - 97)**2*(q + 1)/2
Let j = 2975/144 + -327/16. Let c(z) be the second derivative of j*z**3 - 6*z + 1/18*z**4 + 0 - 14/15*z**5 + 0*z**2. Solve c(l) = 0.
-1/4, 0, 2/7
Solve 2/5*y**2 + 18*y + 172/5 = 0 for y.
-43, -2
Suppose 5*q - 1 = 24. Let b(u) = 31 - u**3 - 15 + 4*u**2 + q*u - 10. Let y(k) = -5*k**3 + 15*k**2 + 20*k + 25. Let f(i) = 25*b(i) - 6*y(i). Factor f(c).
5*c*(c + 1)**2
Let h = -369148/187 + 21756/11. Suppose -174/17*i**4 - h*i + 206/17*i**2 + 18/17*i**5 + 86/17*i**3 - 72/17 = 0. Calculate i.
-2/3, 1, 9
Let o(q) = 12*q**2 - 28*q - 360. Let d(z) = -65*z**2 + 143*z + 1800. Let n(h) = -2*d(h) - 11*o(h). Factor n(f).
-2*(f - 20)*(f + 9)
Find b, given that -4894/11*b - 2/11*b**4 + 2340/11 + 2766/11*b**2 - 210/11*b**3 = 0.
-117, 1, 10
Let a be ((-136)/714)/(0 - 78/21) - 16/312. Suppose -2*b = -0*b. Suppose 0*y**4 + 2/17*y**5 - 10/17*y**3 + 8/17*y + b + a*y**2 = 0. What is y?
-2, -1, 0, 1, 2
Let s(t) be the second derivative of t**5/70 - 29*t**4/42 - 32*t**3/21 + 60*t**2/7 + 40*t + 2. Factor s(h).
2*(h - 30)*(h - 1)*(h + 2)/7
Let g = -53 - 120. Let b = 469 + g. Factor 295*s**5 + 45*s**4 - b*s**5 + 59049 - 32805*s - 810*s**3 + 874*s**2 + 6416*s**2.
-(s - 9)**5
Let a = 1184/7 - 9465/56. Let m(o) be the first derivative of 0*o**2 + 6 - 1/10*o**5 + 0*o + 1/3*o**3 - a*o**4. Let m(t) = 0. Calculate t.
-2, 0, 1
Factor 568*o**2 - 1566268*o**3 - 1566270*o**3 - 4608 + 3132542*o**3 - 1184*o.
4*(o - 4)*(o + 2)*(o + 144)
Let l = -572397 - -2861987/5. What is t in 0 - 6/5*t**2 + l*t**3 + 0*t = 0?
0, 3
Factor 3/5*v**4 + 17/5*v**3 + 16/5*v + 0 - 54/5*v**2.
v*(v - 2)*(v + 8)*(3*v - 1)/5
Let u(z) be the third derivative of -1/28*z**4 + 2*z + 8/21*z**3 + 1/140*z**6 + 0 - 17/420*z**5 + 1/1470*z**7 + 192*z**2. Suppose u(t) = 0. What is t?
-8, -1, 1, 2
Let u = 297377 - 892130/3. Let u*p**2 - 2/3*p + 1/3 = 0. Calculate p.
1
Let p(y) be the first derivative of -y**4/2 + 66*y**3 - 3075*y**2 + 57154*y + 930. Find f, given that p(f) = 0.
17, 41
Let a(b) be the first derivative of -3*b**4/4 + 89*b**3 + 135*b**2 + 2419. Determine x, given that a(x) = 0.
-1, 0, 90
Let w(i) be the third derivative of i**8/336 - i**7/3 + 197*i**6/120 + 67*i**5/15 - 1306*i**2. Factor w(y).
y**2*(y - 67)*(y - 4)*(y + 1)
Let s be (1/(6/8))/(8/24). Find b such that -4*b**3 + 96*b**4 + s*b**2 - 10*b**3 - 88*b**4 + 2*b = 0.
-1/4, 0, 1
Let z be 89/(-267