)**2/6
Let p be 12/3*(-6)/(-4). Suppose 95*j - 14 = 88*j. Let -5*c - c - 2*c - 2*c**j + p*c**2 = 0. Calculate c.
0, 2
Let w(v) = v - v**2 - 1 + 0*v + 2*v + 2*v. Let b be w(4). Factor 3*p**2 - p + 0*p + b*p + 4*p.
3*p*(p + 2)
Let w(d) be the first derivative of d**6/72 + 3*d**5/4 + 135*d**4/8 - 145*d**3/3 - 77. Let c(f) be the third derivative of w(f). Factor c(q).
5*(q + 9)**2
Let s(t) be the second derivative of t**9/3024 + t**8/336 + t**7/504 - t**6/24 - 37*t**4/6 - 56*t. Let c(v) be the third derivative of s(v). Factor c(i).
5*i*(i - 1)*(i + 2)*(i + 3)
Let q = 237 - 241. Let p be 12/(-20)*q/6. Solve p - 4/5*h + 2/5*h**2 = 0.
1
Let h(s) = 10*s**3 + 88*s**2 + 474*s + 912. Let o(f) = -f**3 + 9*f - 1. Let m(r) = h(r) + 12*o(r). Suppose m(a) = 0. What is a?
-3, 50
Let g(n) be the first derivative of 3*n**5/40 - 9*n**4/32 - 5*n**3/8 + 9*n**2/16 + 3*n/2 - 228. Factor g(j).
3*(j - 4)*(j - 1)*(j + 1)**2/8
Let n(l) = 55*l**5 + 115*l**4 + 35*l**3 - 35*l**2 + 30*l + 150. Let o(j) = -j**5 - 3*j**4 + j**3 - j**2 - 3. Let a(f) = -n(f) - 50*o(f). Solve a(r) = 0.
0, 1, 2, 3
Let x(k) be the first derivative of -2*k**5/35 + 6*k**4/7 + 2*k**3/7 - 34*k**2/7 - 48*k/7 + 56. Find h such that x(h) = 0.
-1, 2, 12
Let a = 1975 - 3246. Let z = a + 3815/3. Solve z*p**2 + 4/3*p - 8/3 - 1/3*p**3 = 0.
-2, 2
Let v(p) be the first derivative of -5/2*p**3 + 0*p - 3/2*p**2 - 3/10*p**5 - 19 - 3/2*p**4. Factor v(c).
-3*c*(c + 1)**2*(c + 2)/2
Suppose 68/9*y**3 - 1892/9*y + 818/9*y**2 + 0 - 2/9*y**4 = 0. Calculate y.
-11, 0, 2, 43
Let l be 4/6 + 1420/426. Let s(c) be the third derivative of 1/80*c**6 + 0*c + 0 + 1/70*c**7 + 0*c**l + 1/224*c**8 - 13*c**2 + 0*c**3 + 0*c**5. Factor s(f).
3*f**3*(f + 1)**2/2
Find z, given that -6*z**5 - 1751*z**3 - 42*z**4 + 4*z**5 + 42*z**2 + 23*z - 1854*z**3 + 113*z + 3471*z**3 = 0.
-17, -4, -1, 0, 1
Let 6 + 1413/7*d**2 - 1005/7*d = 0. What is d?
7/157, 2/3
Suppose -f - 92 + 98 = 0. Let a(x) = x**3 - 6*x**2 - 8*x + 10. Let o be a(7). Let 0*q**3 - 3*q**5 + 6*q**o + f*q**3 = 0. What is q?
-2, 0, 2
Let w(i) be the third derivative of i**6/300 - 13*i**5/75 + 29*i**4/12 - 76*i**3/5 - 13*i**2 + 8*i + 5. Suppose w(z) = 0. What is z?
3, 4, 19
Let i = 3243 - 3232. Let t(x) be the second derivative of -i*x - 27/4*x**5 - 9/2*x**6 + 60*x**2 - 250/3*x**3 + 105/2*x**4 + 0. Factor t(f).
-5*(f + 3)*(3*f - 2)**3
Let y(h) = h**2 - h + 0*h**2 - 185 + 367 - 183. Let c(l) = -13*l**2 - 31*l + 5. Let w(q) = c(q) - 3*y(q). Factor w(n).
-4*(n + 2)*(4*n - 1)
Let m(f) be the first derivative of -7*f**5 - 445*f**4/4 - 640*f**3/3 + 110*f**2 + 870. Suppose m(i) = 0. Calculate i.
-11, -2, 0, 2/7
Let l(g) be the third derivative of g**5/90 + 5*g**4/12 + 14*g**3/9 - 4774*g**2. Factor l(b).
2*(b + 1)*(b + 14)/3
Let k(f) = f**3 + 41220*f**2 - 42477210*f + 110. Let c(b) = b**3 + 20610*b**2 - 21238605*b + 60. Let y(x) = -11*c(x) + 6*k(x). Suppose y(s) = 0. What is s?
0, 2061
Let c(b) be the third derivative of b**7/252 - 317*b**6/720 + 821*b**5/60 + 200*b**4/9 - 512*b**3/9 - 2*b**2 + 1209. Solve c(l) = 0.
-1, 2/5, 32
Solve 272/5*z - 336/5 - z**4 - 33/5*z**3 + 101/5*z**2 + 1/5*z**5 = 0.
-4, -3, 1, 4, 7
Let p(g) = 3*g**3 + 55*g**2 - 504*g + 1234. Let m(o) = -o**3 - 18*o**2 + 168*o - 407. Let j(i) = 10*m(i) + 3*p(i). Suppose j(l) = 0. What is l?
-23, 4
Suppose 125 = -48*n + 53*n. Suppose 39*m - 77*m + 527*m**5 + n*m**4 - 529*m**5 - 32*m**3 + 512 + m**4 - 376*m**2 - 90*m = 0. Calculate m.
-2, 1, 8
Let f = 4965 + -4965. Let j(l) be the second derivative of f + 6/5*l**3 + 1/30*l**4 + 81/5*l**2 + 27*l. Factor j(k).
2*(k + 9)**2/5
Let r = -2/367 - 51374/1101. Let y = r + 2386/51. What is c in 2/17 + 2/17*c**3 - 2/17*c**2 - y*c = 0?
-1, 1
Let o(a) = a**3 - 19*a**2 + 21*a - 52. Let s be o(18). Factor -23 + 2*m**3 + 49 + 3*m**3 - 9*m**s - 33 - 6*m**3 - 15*m.
-(m + 1)**2*(m + 7)
Let y be (-2558)/5116*(-4)/14. Factor 24/7*k**2 + y*k**3 + 0*k + 0.
k**2*(k + 24)/7
Let f(g) = 2*g**3 + 10*g**2 - 22. Let m(w) = -2*w**3 - 9*w**2 + w + 24. Let j(r) = 6*f(r) + 5*m(r). Let a be j(-7). Solve -2/5*b**2 + 0 + a*b = 0.
0, 5
Let v(y) = -y + 12. Let g be v(11). Suppose -39 = -7*h - 25. Factor 825*j**3 + h*j**2 + 0 - 837*j**3 - g - 9*j**4 + 4*j.
-(j + 1)**2*(3*j - 1)**2
Find n, given that 0 - 4/3*n**5 + 158/9*n**4 + 1000/9*n - 640/9*n**3 + 550/9*n**2 = 0.
-5/6, 0, 4, 5
Suppose 5*n - 12 = 3*t, -4*t - 9 = -n - 10. Let y be ((-3 + -2)/t + 3)/(-4). Factor -y*l**2 + 0 - l.
-l*(l + 2)/2
Solve -54 + w**4 - 162*w + 189 - 11*w**3 + 72*w**2 - 3*w**3 = 0 for w.
3, 5
Let c(o) = o**3 + 4*o**2 + 2*o - 5. Let p be c(1). Find m, given that -231*m**4 + 113*m**4 - p*m**2 - 2*m**5 + 119*m**4 + 2*m**3 + m**2 = 0.
-1, 0, 1/2, 1
Suppose -4*n - 16 = -6*n - 2*i, 3*i = 3*n + 6. Let -3*l**4 - 26*l**3 + 5*l + 29*l**n - 6*l**4 + 9*l**2 + 8*l**4 = 0. What is l?
-1, 0, 5
Let q(i) be the third derivative of -i**6/420 - 4*i**5/105 + 5*i**4/84 + 4*i**3 + 28*i**2 + 23. Solve q(t) = 0.
-7, -4, 3
What is j in -36*j**2 - 2/15*j**5 + 0 + 48/5*j**3 - 4/15*j**4 + 198/5*j = 0?
-11, 0, 3
Let 1730/3*d - 14/9*d**2 + 1484/9 = 0. Calculate d.
-2/7, 371
Factor -5*n**4 - 89*n**3 + 0*n**4 - 810 - 382 + n**5 + 83*n**2 - 108 - 2*n**4 + 880*n.
(n - 13)*(n - 2)**2*(n + 5)**2
Let y be 1/16*38 - (-306)/2448. Let f(j) be the second derivative of 0 + 49*j**2 + 1/10*j**5 + 22*j + 21*j**3 + y*j**4. What is h in f(h) = 0?
-7, -1
Let i(x) = -4*x**2 + 300*x - 302. Let l(u) = 5*u**2 - 299*u + 303. Let y(g) = -6*i(g) - 4*l(g). Factor y(r).
4*(r - 150)*(r - 1)
Let o be (-16)/9*((-1560)/80 + 18). Find r, given that 0*r + 0*r**2 - 28/3*r**4 + 0 + o*r**3 + 4*r**5 = 0.
0, 1/3, 2
Let q = 28 + -18. Let t be (5 - q)*1/(-1). Let p**t - p**4 + 2*p - 3*p**3 + p**2 - p**5 + p**5 = 0. What is p?
-1, 0, 1, 2
Let u(s) be the third derivative of -s**6/240 - s**5/40 + s**3/3 - 3*s**2 + 41. Factor u(x).
-(x - 1)*(x + 2)**2/2
Let x be 3 + -1 - 3 - -41. Let g be 8/x - 1152/(-15). Factor -12 - g*j + 3*j**2 + 77*j.
3*(j - 2)*(j + 2)
Let x(t) = -255*t**3 + 7647*t**2 - 1674*t - 18. Let b(s) = -73*s**3 + 2181*s**2 - 478*s - 5. Let y(w) = -18*b(w) + 5*x(w). Factor y(d).
3*d*(d - 26)*(13*d - 3)
Suppose 2/5*m**5 - 166/5*m**3 - 88/5*m - 216/5*m**2 + 0 - 36/5*m**4 = 0. What is m?
-2, -1, 0, 22
Let h(d) be the first derivative of -2*d**3/15 - 54*d**2/5 + 854*d/5 - 265. Factor h(k).
-2*(k - 7)*(k + 61)/5
Let y = 47372 - 47368. Let n(u) be the second derivative of 0*u**2 + 1/210*u**7 + y - 1/75*u**6 + 3*u - 1/30*u**3 + 1/30*u**4 + 0*u**5. Solve n(x) = 0 for x.
-1, 0, 1
Let b be 174/(-9)*(-14)/(-2548). Let q = 1/21 - b. Solve 2/13 + q*l - 4/13*l**2 = 0.
-1/2, 1
Let b(a) be the first derivative of -3*a**4/4 - 20*a**3 + 3*a**2/2 + 60*a - 518. Factor b(l).
-3*(l - 1)*(l + 1)*(l + 20)
Let u(n) be the first derivative of 0*n - 24*n**3 + 216*n**2 - 74 + 3/4*n**4. Factor u(i).
3*i*(i - 12)**2
Let h(u) = -u**3 - 20*u**2 - 38*u - 33. Suppose 3*i + 21*i = -432. Let r be h(i). Factor -6/7*j + 10/7*j**2 - 2/7*j**r - 18/7.
-2*(j - 3)**2*(j + 1)/7
Let l(z) be the second derivative of -z**7/21 - 2*z**6/15 + 11*z**5/10 + 2*z**4 + z + 7498. Let l(x) = 0. Calculate x.
-4, -1, 0, 3
Let n(h) be the third derivative of 1/30*h**5 + 5/4*h**3 - 19/48*h**4 + 0*h - 204*h**2 + 0. Suppose n(s) = 0. Calculate s.
1, 15/4
Let m(z) be the second derivative of 1/6*z**3 + 1/96*z**4 + 0 + 7/16*z**2 - 28*z. Let m(y) = 0. What is y?
-7, -1
Solve -25 + 60*c + 25/4*c**2 = 0.
-10, 2/5
Let 1/3 + 1/3*j**4 + 4/3*j**3 + 2*j**2 + 4/3*j = 0. Calculate j.
-1
Let u = 903 - 438. Let c be u/372*1/5. Factor 0 + 0*m**2 - 1/4*m**3 + c*m**4 + 0*m.
m**3*(m - 1)/4
Let c(g) = 5*g**5 + 86*g**4 + 4*g**3 + 4*g**2 + 4. Let x(d) = -5*d**5 - 85*d**4 - 5*d**3 - 5*d**2 - 5. Let h(b) = -5*c(b) - 4*x(b). Factor h(y).
-5*y**4*(y + 18)
Suppose 578 + 332 = 5*s. Let f = s + -542/3. Factor 0*g + 4/3 - f*g**2.
-4*(g - 1)*(g + 1)/3
Factor 5*k + 955*k**4 - 5*k - 690*k**5 + 210*k**5 - 3133*k**3 - 5*k**2 + 2663*k**3.
-5*k**2*(k - 1)**2*(96*k + 1)
Let x be ((4/6)/(-1))/(7/(238/(-136))). Factor x - 1/2*k**2 + 1/3*k**3 + 0*k.
(k - 1)**2*(2*k + 1)/6
Let p(w) = 2*w**2 + 4*w - 6. Let d(x) = 6*x**2 + x - 18. Let y(u) = 2*u**2 - 6. Let s(g) = -4*d(g) + 11*y(g). Let b(o) = 6*p(o) + 5*s(o). Factor b(v).
2*(v - 1)*(v + 3)
Suppose 0 = 62*o + 195 - 195. Let q(r) be the first derivative of -1/