*r - 2 = 6*r - n. Let p be (-5)/r - (37 - 41) - 1. Factor -1/6*i**5 + 1/3*i**2 + p*i**3 + 0*i**4 + 0*i + 0.
-i**2*(i - 2)*(i + 1)**2/6
Find f, given that 855/2*f - 237/4*f**4 + 9/2*f**5 + 270*f**3 - 525/4 - 1023/2*f**2 = 0.
1, 7/6, 5
Determine w so that 77/2*w**3 + 1/4*w**5 - 67*w**2 - 29/2 - 17/2*w**4 + 205/4*w = 0.
1, 2, 29
Let z(v) = -v**3 + 4*v**2 + 6*v + 3. Let r be z(6). Let l = r - -35. Factor -l*c**4 + 3*c**4 + 2935*c**2 - 2939*c**2.
c**2*(c - 2)*(c + 2)
Let y(f) be the third derivative of f**6/40 - 53*f**5/10 + 103*f**4/8 + 105*f**3 - 3*f**2 - 237. Factor y(b).
3*(b - 105)*(b - 2)*(b + 1)
Let u be (-64)/10 - (-60)/150. Let s be 32/28*((-1)/u - -1). Solve 4/3 + 17/3*l + s*l**2 = 0.
-4, -1/4
Suppose 0 = 4*p + p - 8*p. Suppose p*z = 20*z. Find u such that z*u**2 + 1/4*u**5 - u**4 + 3/4*u**3 + 0*u + 0 = 0.
0, 1, 3
Find q such that -2/13*q**5 - 126/13*q + 32/13*q**3 + 12/13*q**4 + 0 - 108/13*q**2 = 0.
-3, -1, 0, 3, 7
Let y(f) be the first derivative of f**6/900 + f**5/60 - 4*f**3/3 + 15*f - 195. Let s(h) be the third derivative of y(h). Factor s(k).
2*k*(k + 5)/5
What is c in 966*c - 116*c**3 - 1556*c**4 + 1589*c**4 - 850*c**3 + 1767*c**2 - 1800 = 0?
-1, 1, 2, 300/11
Let l(b) = -39*b**3 + 5*b**2 + 11*b + 3. Let g be l(5). Let d be 8/14 - g/1785. Let -d + 4/5*j + 26/5*j**2 + 6/5*j**3 = 0. What is j?
-4, -1, 2/3
Let n(w) be the first derivative of 0*w**4 + 0*w**3 - 18 + 0*w + 21/2*w**2 - 1/360*w**6 - 1/180*w**5. Let q(j) be the second derivative of n(j). Factor q(b).
-b**2*(b + 1)/3
Let b(c) = -5405*c - 216197. Let r be b(-40). Suppose 4*t - 2*t**r + 4/3 + 5/3*t**2 = 0. What is t?
-2/3, -1/2, 2
Let q(f) = 3*f**3 - 24*f**2 - 75*f + 94. Let n(g) = -25*g**3 + 193*g**2 + 598*g - 749. Let a(z) = -6*n(z) - 51*q(z). Let a(u) = 0. What is u?
-4, 1, 25
Determine p so that 99*p**2 + 759 - 24*p - 102*p**2 - 699 = 0.
-10, 2
Let m(h) = 65316*h**2 - 9892*h + 367. Let u(d) = -43545*d**2 + 6595*d - 245. Let y(g) = 5*m(g) + 8*u(g). Factor y(b).
-5*(66*b - 5)**2
Let x = 1020302/15 + -68020. What is b in -x*b**5 + 0 - 8/15*b**4 - 2/15*b - 4/5*b**3 - 8/15*b**2 = 0?
-1, 0
Suppose 191*n + 66 = 202*n. Let o(w) be the second derivative of 5/3*w**4 + n*w**2 - 20*w - 14/3*w**3 - 1/5*w**5 + 0. What is u in o(u) = 0?
1, 3
Let i(a) be the third derivative of -1/12*a**6 - 1/30*a**5 + 0 + 1/105*a**7 + 0*a + 0*a**3 + 5/12*a**4 + 63*a**2. Suppose i(t) = 0. Calculate t.
-1, 0, 1, 5
Factor -1/2*n**3 - 8482326*n + 6723657076 + 3567*n**2.
-(n - 2378)**3/2
Let f(c) be the third derivative of c**7/1890 + 7*c**6/270 - c**5/180 - 43*c**4/108 - 28*c**3/27 - c**2 - 15*c - 5. Factor f(o).
(o - 2)*(o + 1)**2*(o + 28)/9
Let c = -3300 + 528001/160. Let h(g) be the third derivative of 1/16*g**4 - 3/80*g**5 - 8*g**2 + 0*g + 0 + 0*g**3 + c*g**6. Find u, given that h(u) = 0.
0, 1, 2
Let v be (-2 - (-6)/(-5))*345/(-138). Let q(d) be the second derivative of v*d**2 + 1/15*d**4 + 0 - 1/25*d**5 + 32/15*d**3 - 21*d. What is o in q(o) = 0?
-2, 5
Let o(s) be the third derivative of -s**8/840 - s**7/105 - s**6/45 - 15*s**3/2 - 5*s**2 + s. Let c(l) be the first derivative of o(l). Factor c(b).
-2*b**2*(b + 2)**2
Let l(f) = 5*f**4 + 90*f**3 + 76*f**2 + 3. Let n(x) = 10*x**4 + 180*x**3 + 155*x**2 + 5. Let z(o) = -5*l(o) + 3*n(o). Solve z(r) = 0 for r.
-17, -1, 0
Let f(r) = 104*r + 628. Let h be f(-5). Let t be 1 + (h/(-12))/(-9). Find z, given that -6/5*z**t + 8/5*z + 8/5 = 0.
-2/3, 2
Let i(l) be the second derivative of 5*l**4/12 + 65*l**3/2 + 845*l**2 - 14*l - 69. Factor i(d).
5*(d + 13)*(d + 26)
Factor 51/2*y + 7803/4 + 1/12*y**2.
(y + 153)**2/12
Let c(l) = 5*l**3 + 15*l**2 - l + 3. Let v be c(-3). Let 12684*d - 1 - 12670*d + 5 + v*d**2 = 0. What is d?
-2, -1/3
Let 1250 - 443/2*h**4 + 6350*h - 5255/2*h**3 - 9/2*h**5 + 5379/2*h**2 = 0. Calculate h.
-25, -1, -2/9, 2
Let n be 1/((-315)/(-75782))*5. Let w = -1202 + n. Factor -2/9*t**3 + 0 - w*t**2 + 0*t.
-2*t**2*(t + 4)/9
Let p be (((-6)/(-27))/(4 - 3))/((-5)/(-114)). Let y(g) be the first derivative of 12/5*g + 16/25*g**5 - p*g**3 + 14/5*g**2 + g**4 + 14. Solve y(t) = 0.
-3, -1/4, 1
Let p(w) = 5*w**2 - 101*w + 192. Let s(q) be the second derivative of 5*q**4/6 - 100*q**3/3 + 385*q**2/2 - 6*q - 5. Let y(m) = 5*p(m) - 2*s(m). Factor y(r).
5*(r - 19)*(r - 2)
Let q(x) = -112*x**3 - 2267*x**2 - 3779*x + 665. Let b(z) = -38*z**3 - 756*z**2 - 1258*z + 222. Let c(h) = 17*b(h) - 6*q(h). Let c(u) = 0. What is u?
-27, -2, 2/13
Let q be 1 + -8 + 9 + 6. Let i be ((-10)/(-45))/(q/132) + -3. Suppose i*n**2 + 0 + 7/3*n**5 + n**3 - 4*n**4 + 0*n = 0. Calculate n.
-2/7, 0, 1
Let x be ((-10)/65)/((-4)/52). Factor 6/7 + 17/7*j + 2/7*j**3 + 11/7*j**x.
(j + 2)*(j + 3)*(2*j + 1)/7
Determine y so that 6451 + 175*y - 6424 - 484*y**3 + 946*y**2 + 374*y**2 + 212*y = 0.
-3/22, 3
Suppose 441*h - 1455*h = 0. What is n in 8*n**3 + 22/9*n + 2/9*n**5 - 68/9*n**2 + h - 28/9*n**4 = 0?
0, 1, 11
Factor 1212/7 - 1210/7*g - 2/7*g**2.
-2*(g - 1)*(g + 606)/7
Let b(g) be the third derivative of -g**7/1365 - 47*g**6/390 + 48*g**5/65 - 145*g**4/78 + 97*g**3/39 - 4*g**2 + 1168*g. Suppose b(w) = 0. Calculate w.
-97, 1
Let m(n) = n**3 - 84*n**2 + 257*n - 29067. Let j be m(85). Determine k so that 4/5*k - 8/5*k**2 + 0 + 3/5*k**j - 1/5*k**5 + 2/5*k**4 = 0.
-2, 0, 1, 2
Let b(u) be the second derivative of -u**5/90 + 7*u**4/18 - 28*u**3/9 + 64*u**2/9 + 206*u. Let b(p) = 0. Calculate p.
1, 4, 16
Let j be ((-10396)/(-6440) + 2/7)*152. Factor -j - 76/5*y - 1/5*y**2.
-(y + 38)**2/5
Suppose -22*k - 1096 = -79*k - 982. Determine f so that 1/4*f**k - f + 1 = 0.
2
Solve 66*n**3 + 1124994 + 151356*n + 486*n**3 + 22948*n**2 + 118020*n - 172418 + 4*n**4 + 0*n**4 = 0 for n.
-61, -8
Factor -160 + 18*o**2 - 9*o**3 - 26*o**2 + 9*o**3 + 4*o**3 - 172*o.
4*(o - 8)*(o + 1)*(o + 5)
Let j(q) = -q + 5. Let y be j(2). Let b(d) = -2*d**2 + 25*d - 33. Let c be b(10). Let 2*r - 19*r**y + 4*r**4 + 1 - 5*r**4 + c*r**3 = 0. Calculate r.
-1, 1
Let 3/2*n**3 - 1095 + 546*n**2 - 1101/2*n = 0. What is n?
-365, -1, 2
Let g(c) be the second derivative of 0*c**4 + 0*c**2 - 1/1260*c**6 - 1/3*c**3 + 1/140*c**5 - 19*c + 0. Let z(p) be the second derivative of g(p). Factor z(q).
-2*q*(q - 3)/7
Suppose 35 = 5*h + 15. Let a(d) = -d**3 + 5*d**2 - 3*d - 2. Let f be a(h). Let 90*v - 4*v**2 - 89*v + 3*v**f = 0. Calculate v.
0, 1
Let -3456/11*a - 2/11*a**5 + 1692/11*a**2 + 1728/11 - 32/11*a**4 + 70/11*a**3 = 0. Calculate a.
-12, 1, 6
Factor -607679 + 1990*l - 4*l**2 + 3*l**2 - 4*l**2 + 599799 + 0*l**2.
-5*(l - 394)*(l - 4)
Let m(r) = -34*r - 6. Let z be m(-1). Let c = z - 4. Factor -6*o**3 - 46*o + 2*o**3 - c*o**2 + 74*o.
-4*o*(o - 1)*(o + 7)
Suppose h + a - 147 = 4*a, -12 = -3*a. Factor -2*n**4 + h - 318 + 2*n**2 + 159 - 2*n + 2*n**3.
-2*n*(n - 1)**2*(n + 1)
Let o be 6/(-8) - 321433/(-119756) - 2/(2*13). Factor 0 - o*n + 1/7*n**2.
n*(n - 13)/7
Suppose 3*m - 32 = 19*t - 21*t, 5*t - 65 = 0. Find i such that -1/5*i**3 + 6/5*i**m - 8/5*i + 0 = 0.
0, 2, 4
Let h(i) be the second derivative of 0 + 0*i**2 - 1/12*i**4 + 25/6*i**3 + 117*i. Factor h(x).
-x*(x - 25)
Let k = 4008327/5 - 801665. Determine d so that -k*d + 0*d**2 + 2/15*d**3 - 4/15 = 0.
-1, 2
Let c = 440 - 344. Factor -26*s - c + 189 - 97 + 2*s**3 - 30*s**2 + 10*s**4.
2*(s - 2)*(s + 1)**2*(5*s + 1)
Let m(d) be the second derivative of 1/3*d**4 + 3*d - 2*d**2 + 8/3*d**3 - 4/5*d**5 - 11. Factor m(g).
-4*(g - 1)*(g + 1)*(4*g - 1)
Let r(g) be the second derivative of -g**6/180 - g**5/40 + 13*g**4/72 + 5*g**3/12 - 1204*g. Factor r(k).
-k*(k - 3)*(k + 1)*(k + 5)/6
Let l(p) be the first derivative of 26/45*p**3 + 4/5*p**2 + 8/15*p + 106 + 1/5*p**4 + 2/75*p**5. Factor l(k).
2*(k + 1)**2*(k + 2)**2/15
Suppose -5035 = 8*p - 1107. Let r = p + 493. Determine h, given that -2/7*h**3 + 0 + 0*h**r + 0*h = 0.
0
Let w(h) be the third derivative of h**7/42 + 13*h**6/8 + 35*h**5/2 + 505*h**4/6 + 220*h**3 + 929*h**2. Factor w(p).
5*(p + 2)**3*(p + 33)
Let x(g) = 2*g**3 + 31*g**2 + 9*g - 6. Let h be x(-15). Let s = h - 82. Find c, given that 27*c - 13*c**3 + 23*c**s + 16*c**3 - 5*c**2 = 0.
-3, 0
Let i = 252 + -172. Factor -32*b**2 + 2 - 4*b**3 - 33 - 33 - i*b.
-4*(b + 2)**2*(b + 4)
Let i = -3294184/7 - -470608. Determine p so that -i - 680/7*p**2 + 66*p - 200/7*p**3 = 0.
-4, 3/10
Factor 2/7*m**2 - 400/7*m + 224.
