 9/((-3)/(-1)) + 0/(12/(9 - 6)). Factor -5/7 - 1/7*t**k + 5/7*t**2 + 1/7*t.
-(t - 5)*(t - 1)*(t + 1)/7
Let q(a) be the second derivative of -11*a**4/4 + 249*a**3/2 + 138*a**2 + 7*a + 41. Determine x so that q(x) = 0.
-4/11, 23
Let s(j) = -3*j**4 + 12*j**3 + 9*j**2 - 15*j - 21. Let g(u) = 3*u**4 - 12*u**3 - 7*u**2 + 14*u + 14. Let c(y) = 3*g(y) + 2*s(y). Determine x so that c(x) = 0.
-1, 0, 1, 4
Let w = 550 + -310. Solve 45*j**4 - w*j**3 - 290*j**2 + 80*j - 227*j**3 + 142*j**3 = 0.
-1, 0, 2/9, 8
Let -2280*u**3 - 1541*u**2 + 3778*u**4 - 65*u - 77*u + 240 + 46*u - 2371*u**2 - 3967*u**4 = 0. What is u?
-10, -2, -2/7, 2/9
Let y(l) be the third derivative of -l**6/1140 + 7*l**5/38 - 34*l**4/19 + 404*l**3/57 - 5414*l**2. Suppose y(d) = 0. What is d?
2, 101
Let c be ((-18)/(-5))/((-2)/(-5)). Let a = -232 + 234. Let s(p) = 7*p**2 - 17*p - 9. Let q(z) = -2*z**2 + 4*z + 2. Let n(x) = a*s(x) + c*q(x). Factor n(f).
-2*f*(2*f - 1)
Let u(x) be the second derivative of -575*x**4/4 + 1730*x**3/3 - 10*x**2 + 5*x + 16. Factor u(l).
-5*(l - 2)*(345*l - 2)
Let b be ((2 - 7)/((-50)/360))/(22/11). Find q such that -24 + 6*q - 3/2*q**4 + 3/2*q**3 + b*q**2 = 0.
-2, 1, 4
Suppose 4/3*s**5 + 0 - 164/3*s**4 - 4232*s + 1172/3*s**3 + 11684/3*s**2 = 0. What is s?
-6, 0, 1, 23
Let z(p) be the second derivative of p**4/4 + 3017*p**3 + 27306867*p**2/2 + 18*p - 91. Find u, given that z(u) = 0.
-3017
Let v(x) be the third derivative of 9*x**8/224 + 9*x**7/20 + 21*x**6/40 - 379*x**5/60 + 247*x**4/48 + 169*x**3/12 - x**2 - 26. Solve v(o) = 0 for o.
-13/3, -1/3, 1
Determine w so that 228*w**3 + 56*w**2 + 1152 + 33*w - 74*w**3 - 71*w**3 - 81*w**3 + 447*w = 0.
-12, -4
Let z be 1/8*2*(-62 - -62). Let f(m) be the second derivative of z + 0*m**2 + 9*m + 5/12*m**4 + 5/3*m**3. Find w such that f(w) = 0.
-2, 0
Let n(h) be the first derivative of -2*h**6/135 - h**5/45 + 5*h**4/27 - 2*h**3/9 + 52*h - 47. Let j(i) be the first derivative of n(i). Factor j(v).
-4*v*(v - 1)**2*(v + 3)/9
Let q(k) be the third derivative of 0*k + 1/48*k**4 + 0*k**3 + 1/80*k**6 - 51*k**2 - 1/40*k**5 - 1 - 1/420*k**7. Determine v, given that q(v) = 0.
0, 1
Let a = 595/681 - 368/681. Factor -c**3 + a*c**4 + 1/3*c**2 - 2/3 + c.
(c - 2)*(c - 1)**2*(c + 1)/3
Let t = -45/2144 + 10192981/19296. Let m = -528 + t. Factor -8/9*o**4 + 0 + 0*o + m*o**5 + 0*o**2 + 8/9*o**3.
2*o**3*(o - 2)**2/9
Let g(o) = 11*o**2 + 0*o - 4*o - 51 + 9*o - 4*o. Let n(i) = 6*i**2 - 27. Let l(t) = -3*g(t) + 5*n(t). Solve l(v) = 0.
-3, 2
Let a be -36 - (3 - (2 + -1)). Let y = a + 55. Determine n so that -5*n**2 + 0*n**2 - y*n - 15 - 3*n = 0.
-3, -1
Let s(m) = -m**2 - 5*m + 4*m**3 - 14 + 16*m**2 - 6*m**3. Let v be s(7). Factor -2*k**2 + 8*k - 12*k + v*k**2 - 2.
-2*(k + 1)**2
Let k(q) be the first derivative of -4/15*q**3 + 99 - 16/5*q + 8/5*q**2. Factor k(l).
-4*(l - 2)**2/5
Let n(d) be the first derivative of -d**6/120 + d**5/15 + 3*d**2/2 - 76. Let y(g) be the second derivative of n(g). Factor y(u).
-u**2*(u - 4)
Suppose -f + 72 = 11*f. Factor 4*l + f*l + 2*l**2 - 5*l - 21*l.
2*l*(l - 8)
Let v(i) be the second derivative of 1/60*i**6 + 1/12*i**3 - 1/40*i**5 + 131*i - 7/24*i**4 + 3/2*i**2 - 1. Suppose v(g) = 0. What is g?
-2, -1, 1, 3
What is n in 0 + 0*n - 2/11*n**4 + 8/11*n**3 + 90/11*n**2 = 0?
-5, 0, 9
Let s(f) be the third derivative of 0 - 114*f**2 + 1/140*f**7 + 0*f + 0*f**3 + 0*f**5 + 0*f**6 + 0*f**4 + 11/1344*f**8. Suppose s(i) = 0. Calculate i.
-6/11, 0
Let k(u) be the second derivative of 5/24*u**4 + 0*u**2 + 0 + 1/10*u**5 - 133*u + 1/6*u**3 + 1/60*u**6. Factor k(v).
v*(v + 1)**2*(v + 2)/2
Let l(s) be the second derivative of -s**6/6 - 684*s**5 - 4685395*s**4/6 - 3116760*s**3 - 9343445*s**2/2 + 204*s + 2. Factor l(q).
-5*(q + 1)**2*(q + 1367)**2
Let i(n) be the second derivative of -n**6/30 + 363*n**5/20 - 241*n**4/4 + 361*n**3/6 - 2543*n. Factor i(q).
-q*(q - 361)*(q - 1)**2
Let s(i) be the third derivative of 2*i + 0 - 48*i**2 - 65/24*i**3 - 45/32*i**4 - 1/24*i**5. Factor s(y).
-5*(y + 13)*(2*y + 1)/4
Let w(f) be the third derivative of -f**5/210 - 13*f**4/4 + 274*f**3/21 + 20*f**2 - f + 52. Factor w(h).
-2*(h - 1)*(h + 274)/7
Let m(w) be the second derivative of -w**4/12 - 250*w**3 - 281250*w**2 - 731*w. Factor m(k).
-(k + 750)**2
Let g(z) = 7*z**3 + 45*z**2 + 386*z - 434. Let y(v) = 3*v**3 - v**2 + v - 1. Let f(k) = -2*g(k) + 4*y(k). Factor f(b).
-2*(b - 1)*(b + 12)*(b + 36)
Let c(x) = -4*x**3 - 28*x**2 - 112*x - 6. Let m(j) = j**3 + 2*j**2 - 3*j + 2. Let d(k) = 2*c(k) + 6*m(k). Determine v, given that d(v) = 0.
-11, 0
Let w(c) be the second derivative of 3*c - 8*c**3 + 3/2*c**4 + 5 + 16*c**2 - 1/10*c**5. Find s, given that w(s) = 0.
1, 4
Let p be 17/(-80) - (5047/196)/(-103). Let j(d) be the second derivative of -9/16*d**4 + p*d**5 + 46*d + 0 - 81/8*d**2 + 27/8*d**3. Factor j(y).
3*(y - 3)**3/4
Let l be 147/1470*((16/(-56) - (-46)/14) + 1). Let l*p**5 + 38/5*p**3 - 14/5*p**4 - 8/5 + 32/5*p - 10*p**2 = 0. What is p?
1, 2
Factor 1479680 - 231*r**2 - 42*r - 253*r**2 + 489*r**2 - 2801*r - 2597*r.
5*(r - 544)**2
Let p(f) be the third derivative of f**6/60 - 5*f**5/2 + 24*f**4 - 284*f**3/3 + 541*f**2 - 1. Solve p(a) = 0 for a.
2, 71
Suppose 6*r + 5*h = 11*r - 60, -r + 12 = h. Suppose r*c = -3*c. Determine y, given that 2/7*y**3 + c*y + 2/7*y**2 - 2/7*y**5 + 0 - 2/7*y**4 = 0.
-1, 0, 1
Let p(f) be the second derivative of f**7/168 - f**6/60 - f**5/4 + f**4/6 + 16*f**3/3 + 16*f**2 + 8*f + 94. Let p(u) = 0. Calculate u.
-2, 4
Let x be 250 + -252 - (0 + (156/(-9))/1). What is q in -4/9*q + 10*q**5 + 2*q**2 + 206/9*q**4 + 0 + x*q**3 = 0?
-1, -2/5, 0, 1/9
Let k = -2/51 + 19/51. Let b = 8223 + -8221. Factor 2/3 - k*x - x**b + 1/3*x**4 + 1/3*x**3.
(x - 1)**2*(x + 1)*(x + 2)/3
Let b(i) = 15*i**2 + 1021*i + 24. Let z(d) = -57*d**2 - 4086*d - 90. Let s(t) = 15*b(t) + 4*z(t). Factor s(p).
-3*p*(p + 343)
Suppose -2*l - 4*y + 0*y = -12, -y - 15 = -4*l. Suppose l*t = f + 10, -4*f + 5*t = -9*f + 25. Solve r**2 + 2*r + 0*r**2 - 1 + 0 + f = 0 for r.
-1
Let m(i) be the third derivative of i**4/8 - 5*i**3/6 + 20*i**2. Let r be m(4). Factor 5*p**5 - 12*p**4 + 5*p**2 + 7*p**4 + 2*p**3 - r*p**3.
5*p**2*(p - 1)**2*(p + 1)
Let o be (-23064)/310 + 44 - -58. Solve -o*m**3 - 222/5*m + 12/5*m**4 + 294/5*m**2 + 54/5 = 0.
1/2, 1, 9
Let f be (-2 + 2/2)*-3. Let o(z) = -2*z**2 - 8*z + 284. Let v be o(10). Factor -1 - 8*h - f + 0*h + 8*h**3 - 28*h**4 + 32*h**v.
4*(h - 1)*(h + 1)**3
Let v(x) be the first derivative of -3*x**4/8 - 21*x**3/2 + 195*x**2/2 + 2589. Solve v(o) = 0.
-26, 0, 5
Let y(k) be the first derivative of -k**6/24 + 9*k**5/20 - 19*k**4/16 + k**3/4 + 5*k**2/2 - 3*k - 364. Let y(z) = 0. What is z?
-1, 1, 2, 6
Let t(o) be the third derivative of -o**6/10 - 353*o**5/15 - 10325*o**4/6 + 6962*o**3/3 + 1485*o**2. Factor t(s).
-4*(s + 59)**2*(3*s - 1)
Let z(s) be the first derivative of 9*s**3/4 - 561*s**2/8 - 63*s/2 - 5766. Determine u, given that z(u) = 0.
-2/9, 21
Let k = 12228 - 12219. Let c(n) be the first derivative of 0*n + k - 20*n**3 - 90*n**2 - 5/4*n**4. Find o such that c(o) = 0.
-6, 0
Let t(b) = 2*b**2 - 72*b + 644. Let l be t(16). Let y(z) be the first derivative of -4*z**3 + 1/3*z**l + 10*z**2 + 100/3*z + 36. Factor y(x).
4*(x - 5)**2*(x + 1)/3
Let i be 0 + 0 - (-14 + -1). Let a = -70 - -72. Factor -i*t**2 + 2*t**3 + 6*t**a + 10*t**2 + t**4.
t**2*(t + 1)**2
Factor 0 + 482*l - 1/2*l**2.
-l*(l - 964)/2
Let h = -329524/1043769 - 4/5897. Let l = 1/59 - h. Determine v so that 4 - l*v**2 + 1/3*v**3 - 8/3*v = 0.
-3, 2
Let p(y) be the third derivative of 0 + 1/12*y**4 + 4*y**2 - 1/60*y**5 - 6*y - 1/6*y**3. Factor p(d).
-(d - 1)**2
Let g(z) be the second derivative of 0*z**4 - 1/270*z**5 + 11*z + 3/2*z**2 + 0*z**3 + 0. Let t(s) be the first derivative of g(s). Factor t(a).
-2*a**2/9
Suppose 0 = 4*g - 26*n + 182, -3*g + 2 = 4*n - 26. Let a + g + 1/8*a**3 - 9/8*a**2 = 0. What is a?
0, 1, 8
Factor -4/3 + 88/3*s - 121*s**2.
-(11*s - 2)*(33*s - 2)/3
Let -6723*l + 2185*l + 2226*l + 825 + 5*l**2 + 2182*l = 0. What is l?
11, 15
Let f(h) = -21*h**3 + 357*h**2 + 5001*h - 18432. Let a(g) = -12*g**3 + 178*g**2 + 2501*g - 9216. Let x(t) = -9*a(t) + 5*f(t). Solve x(i) = 0 for i.
-32, 3
Let 3*l**5 + 270*l**2 - 155*l**3 - 450 - 930*l**2 - 33*l**3 + 88*l**4 - 46*l**3 + 134*l**