 3*n**5/2 + 11*n**4/6 - 4*n**3 + 2*n + 1193. Suppose i(k) = 0. Calculate k.
-1, 0, 2/3, 4, 6
Let c be ((-75)/4)/(153/(-2346)). Let y = c + -286. Factor y*t**2 - 3/2*t**4 + 0*t**3 + 0 + 0*t.
-3*t**2*(t - 1)*(t + 1)/2
Factor -1044/17*g + 136242/17 + 2/17*g**2.
2*(g - 261)**2/17
Let t(g) be the third derivative of g**5/30 - 551*g**4/12 - 184*g**3 - 55*g**2 + 23*g. Solve t(p) = 0 for p.
-1, 552
Let y(n) be the third derivative of n**7/7560 - n**6/2160 - 13*n**4/12 - n**3/2 + 110*n**2. Let o(g) be the second derivative of y(g). Factor o(r).
r*(r - 1)/3
What is s in 394/7*s**2 - 52/7*s**3 - 2904/7 - 440/7*s + 2/7*s**4 = 0?
-2, 6, 11
Factor 2*w**2 - 3870*w + 87046 - 636083 - 3*w**2 - 199808 - 4*w**2.
-5*(w + 387)**2
Let h = -952041 - -952053. Let 1/3*j**2 + 68/3 + h*j = 0. Calculate j.
-34, -2
Let c(m) = -6*m**2 + 16*m + 18. Let d(q) = 155*q + 13*q**2 - 86*q - 100*q - 35. Let s(h) = -9*c(h) - 4*d(h). Factor s(y).
2*(y - 11)*(y + 1)
Let p(q) = -q**3 + 4*q**2 + 5. Let l(i) = i**3 - 109*i**2 + 60*i + 1460. Let v(z) = -l(z) + 4*p(z). Factor v(j).
-5*(j - 24)*(j - 4)*(j + 3)
Factor 0 + 156/7*t**2 - 432/7*t - 4/7*t**3.
-4*t*(t - 36)*(t - 3)/7
Let n be (-6)/45 + (-398)/(-105) - (-3)/21. Factor -4*f + n + 1/5*f**2.
(f - 19)*(f - 1)/5
Let d(m) be the first derivative of -1/15*m**5 + 1/2*m**4 + 2*m**2 + 1 + 0*m**3 + 0*m. Let f(n) be the second derivative of d(n). Let f(g) = 0. What is g?
0, 3
Let h = -1435 + 1451. Suppose -2*u - 10 + h = 4*r, 5*r = -3*u + 6. Find y such that 0 + 0*y + 15/2*y**4 + 3/2*y**5 + 0*y**2 + 9*y**r = 0.
-3, -2, 0
Let a = -202/69 - -427/138. Factor 10/3 + 3/2*z + a*z**2.
(z + 4)*(z + 5)/6
Let t(r) be the third derivative of -r**5/120 - 37*r**4/48 + 19*r**3/6 + 976*r**2 + 1. What is m in t(m) = 0?
-38, 1
Let k(x) be the first derivative of -x**5/10 + 11*x**4/4 - 28*x**3 + 245*x**2/2 - 343*x/2 - 613. Factor k(y).
-(y - 7)**3*(y - 1)/2
Let i(n) = 2*n + 29. Let j be i(-12). Factor -3 + 75*v - 19*v**2 - 11*v**2 - j*v**3 - 37.
-5*(v - 1)**2*(v + 8)
Let m(l) be the first derivative of 4*l**6/9 - 2*l**5/5 - 77*l**4/6 - 14*l**3 + 109*l**2/3 + 20*l + 1034. Suppose m(y) = 0. What is y?
-3, -2, -1/4, 1, 5
Let z(f) be the first derivative of -f**4 - 40*f**3/21 + 34*f**2/7 + 5450. What is d in z(d) = 0?
-17/7, 0, 1
Let d(a) be the first derivative of -a**3/24 - 593*a**2/8 - 1606. Solve d(j) = 0 for j.
-1186, 0
Let v(y) be the first derivative of -4*y**3/45 + 31*y**2/15 - 58*y/15 - 2914. Factor v(w).
-2*(w - 1)*(2*w - 29)/15
Factor 96*h - 73*h - 1254 - 3*h**2 - 146*h.
-3*(h + 19)*(h + 22)
Let o(c) = 4*c**2 + 3*c + 14. Let t be o(-3). Determine j, given that 5*j**3 + t + 10*j**3 + 3*j**2 + 7 + 2*j**2 - 40*j - 28 = 0.
-2, 2/3, 1
Let j(o) = 72*o**2 + 3750*o - 1755942. Let f(l) = 181*l**2 + 7501*l - 3511886. Let b(d) = -2*f(d) + 5*j(d). Suppose b(p) = 0. Calculate p.
937
Let k = 898 - 43097/48. Let u(l) be the second derivative of 1/3*l**3 + k*l**4 + 1/8*l**2 + 0 + 7*l. Factor u(i).
(i + 1)*(7*i + 1)/4
Let r(t) be the third derivative of 9*t**5/40 + 41*t**4/4 + 9*t**3 + 4*t**2 - 41. Find o, given that r(o) = 0.
-18, -2/9
Let c(u) be the first derivative of 0*u**2 + 11*u - 2/13*u**3 + 17 + 1/78*u**4. Let s(b) be the first derivative of c(b). Factor s(t).
2*t*(t - 6)/13
Let p = 1690971/7 + -241567. Factor -p*f**3 + 10/7*f**2 - 8/7*f + 0.
-2*f*(f - 4)*(f - 1)/7
Let b = -1720295/3 + 573433. Factor -2/3*u**2 - 2/3 - b*u.
-2*(u + 1)**2/3
Let w(o) = -15*o**2 + 5*o - 18. Let r(a) = 2*a**2 + 5. Let k(i) = 30*r(i) + 5*w(i). Find l such that k(l) = 0.
-4/3, 3
Let z(a) = 24*a - 285. Suppose -5*m + 2*d = -62, -4*m - 7 = -5*m - 5*d. Let b be z(m). Solve 5/3*x**5 + 0*x - 10/3*x**2 + 0*x**4 + 0 - 5*x**b = 0 for x.
-1, 0, 2
Let x = -131750/33 + 87837/22. Factor 7/6*r**2 + 13/6*r + 1 - x*r**4 - 1/6*r**3.
-(r - 3)*(r + 1)**2*(r + 2)/6
Let k(y) = -7*y + 156. Let v be k(22). Factor -27*n**3 + 2*n**4 + 137*n**v + n**4 - 137*n**2.
3*n**3*(n - 9)
Let i = 142754 + -142718. Factor -15*h - i + 3/2*h**2.
3*(h - 12)*(h + 2)/2
Let v(c) be the second derivative of -c**5/20 + 38*c**4/3 - 595*c**3/6 + 222*c**2 - 344*c. Solve v(z) = 0 for z.
1, 3, 148
Let q be (6/9)/((-18)/(-17685)). Let f = 657 - q. Let 0 - 8/3*s**3 - 4/3*s + 2/3*s**4 + 10/3*s**f = 0. What is s?
0, 1, 2
Suppose 45*x = 543 + 15342. Suppose 113 - x = -60*r. Factor r*v**2 + 2/5*v**3 - 2/5*v - 4.
2*(v - 1)*(v + 1)*(v + 10)/5
Let m = -1/12 + 5/12. Suppose -871*f + 263*f + 29184 = 0. Let 8*h + f + m*h**2 = 0. Calculate h.
-12
Let f be 4 + ((-2708)/(-48))/(124/(-8)). Let n = f + -6/31. Factor -32/3 - n*h**4 + 13/6*h**3 - 10*h**2 + 56/3*h.
-(h - 4)**3*(h - 1)/6
Let a(g) be the third derivative of -g**6/60 + 7*g**5/6 + 37*g**4/6 + 3*g**2 - 169*g. Factor a(h).
-2*h*(h - 37)*(h + 2)
Let d(l) be the first derivative of l**4 - 4*l**3 - 288*l**2 + 3328*l + 1301. Let d(f) = 0. Calculate f.
-13, 8
Let x(w) be the first derivative of w**4/2 - 29*w**3 - 22*w**2 + 730. Find b such that x(b) = 0.
-1/2, 0, 44
Let x(g) be the first derivative of -g**3/6 + 307*g**2/2 - 94249*g/2 + 1003. What is b in x(b) = 0?
307
Let d = 865 + -856. Let i(l) = 2*l**2 - 18*l + 88. Let y(n) = 5*n**2 - 37*n + 176. Let r(b) = d*i(b) - 4*y(b). Determine t, given that r(t) = 0.
-11, 4
Suppose k - 2 - 10 = 0. Suppose 5*f + 16 = -z - 0*f, 4*z + f - k = 0. Find b such that 3*b**3 - 10*b**3 + b**3 + 5*b**2 + 15*b**z - 9*b**3 - 5*b**5 = 0.
0, 1
Let j(n) = 8*n**2 - 13*n + 28. Let o be j(6). Let b be (o/(-49))/2 - -3. Let 0 - 1/7*c - 6/7*c**3 - 4/7*c**2 - b*c**4 - 1/7*c**5 = 0. What is c?
-1, 0
Suppose 70 + 49 - 12 = 69*r - 31. Determine n so that -9*n**r + 4/3 - 4*n = 0.
-2/3, 2/9
Let x(o) be the first derivative of -o**5/60 + 5*o**4/6 - 19*o**3/6 + 7*o**2/2 - 2*o + 18. Let w(t) be the second derivative of x(t). Factor w(g).
-(g - 19)*(g - 1)
Let c(p) be the second derivative of p**7/1260 - 7*p**6/180 + 2*p**5/3 + 4*p**4/3 - p**3/3 - 2*p - 21. Let m(d) be the third derivative of c(d). Factor m(z).
2*(z - 10)*(z - 4)
Let o = -2/915587 - 6695687717/6409109. Let n = o - -1045. Solve 10/7*w + 6/7*w**2 + 4/7 - 2/7*w**3 - n*w**4 = 0.
-1, 2
Let d = -265893 - -265895. Let h = 2 - 1. Factor h + 2*l**d - 5/2*l - 1/2*l**3.
-(l - 2)*(l - 1)**2/2
Let v be (-8)/(-6)*(-3)/(-10). Let b = 361387/78595 - -30/15719. Find t such that 21/5*t**4 - b*t**2 + v + 1/5*t**3 - 1/5*t = 0.
-1, -1/3, 2/7, 1
Let c(k) be the second derivative of k**4/36 - 68*k**3/9 + 88*k**2 + 9366*k. Factor c(o).
(o - 132)*(o - 4)/3
Let 1012/9*k + 0 - 2/9*k**2 = 0. Calculate k.
0, 506
Suppose -2*x - 62 = -5*u - 7, -146 = 5*x - 4*u. Let l = x + 35. Factor 45*s**3 + 20*s**4 + 7*s + 3*s + 5*s**l - 10*s**2 + 5*s**4 + 45*s**2.
5*s*(s + 1)**3*(s + 2)
Let w(i) be the third derivative of -i**5/480 - i**4/48 + 33*i**2 + 3*i + 3. Factor w(t).
-t*(t + 4)/8
Let y(g) be the third derivative of 29/8*g**6 + 4*g**2 - 2*g + 0 + 0*g**3 + 26/5*g**5 + 5/14*g**7 + 5/2*g**4. Determine u, given that y(u) = 0.
-5, -2/5, 0
Let j = -261069/2 - -130535. Factor j*u**2 - u - 3/2.
(u - 3)*(u + 1)/2
Let z(b) = -97*b - 582. Suppose 109*d = -w + 113*d - 22, 3*d + 18 = -5*w. Let s be z(w). Determine i, given that s*i - 1/4*i**2 + 1/4 = 0.
-1, 1
Let s(g) be the third derivative of 13*g**7/560 + 153*g**6/64 - 131*g**5/160 - 765*g**4/64 + 59*g**3/8 - 2123*g**2. Let s(h) = 0. What is h?
-59, -1, 2/13, 1
Suppose q - 10 = n - 6*n, -4*q + 59 = n. Suppose 2*w = -3*w + 20. Factor -2*i**2 - 9 - w*i**3 - i**2 + 7*i**3 - q*i.
3*(i - 3)*(i + 1)**2
Let j(n) be the first derivative of -3*n**5/20 + 7*n**3/2 - 9*n**2 - 118*n + 146. Let y(c) be the first derivative of j(c). Factor y(i).
-3*(i - 2)*(i - 1)*(i + 3)
Let h be (12/22)/3 - (-736754)/869. Let d = -2539/3 + h. Factor -4/3*v**4 + 2/3*v - d*v**3 + 0 + 7/3*v**2.
-v*(v - 1)*(v + 2)*(4*v + 1)/3
Let k(y) be the third derivative of y**7/1260 - 7*y**6/120 - 47*y**5/360 + 7*y**4/6 + 43*y**3/9 + 5*y**2 - 14. Suppose k(j) = 0. Calculate j.
-2, -1, 2, 43
Let j(h) = -26*h - 831. Let n be j(-33). Let a(c) be the first derivative of 16*c - 8*c**2 - n + 4/3*c**3. Find p such that a(p) = 0.
2
Let f(a) be the second derivative of -a**5/30 - 5*a**4/3 + 337*a**3/9 - 182*a**2 + 214*a - 14. Factor f(t).
-2*(t - 7)*(t - 2)*(t + 39)/3
Determine s so that -38*s - 361/5*s**2 - 5 = 0.
-5/19
Let k(x) = x**2 + 23*x + 130. Let c be k(-1