 - 80. Factor 3/7*f**5 + 6/7*f**2 + 16/7*f**g - 6/7 + 24/7*f**3 - 11/7*f.
(f + 1)**3*(f + 3)*(3*f - 2)/7
Factor 9/7*s + 1/7*s**2 - 90/7.
(s - 6)*(s + 15)/7
Let l = 185 - 182. Find z such that -40 + 3*z**3 + 19*z**2 + 5*z**2 - 12*z - 5*z**3 - 2*z**l = 0.
-1, 2, 5
Let q(t) be the second derivative of 8/3*t**3 + 23*t + 0 + 1/20*t**5 + 1/2*t**4 + 1/480*t**6 + 17/2*t**2. Let a(l) be the first derivative of q(l). Factor a(f).
(f + 4)**3/4
Factor 761*j**2 + 1134*j - 483025 + 256*j - 762*j**2.
-(j - 695)**2
Factor -4/5*j - 16/5 + 7/5*j**3 + 12/5*j**2 + 1/5*j**4.
(j - 1)*(j + 2)**2*(j + 4)/5
Let g be -1 + 221*(10/105)/2. Let d(s) be the third derivative of -1/105*s**5 + 0*s + 0 + 4*s**2 - g*s**3 + 10/21*s**4. Factor d(i).
-4*(i - 10)**2/7
Let q(o) = o**2 + 1892*o + 3783. Let h be q(-2). Find r, given that -10/9*r**h + 16/9 + 1/9*r**4 + 11/3*r**2 - 40/9*r = 0.
1, 4
Let v be (-2)/(1 - (-10)/(-6)). Let c = -154267 + 154271. Suppose -13/3*d**2 - 12 - 14*d**v + 28*d - 3*d**c = 0. What is d?
-3, 2/3
Let u be ((-444)/24 + 17)/(-3). What is m in 5/4*m**3 + 0 - 2*m - 1/4*m**4 - u*m**2 = 0?
-1, 0, 2, 4
Let d(g) be the first derivative of -22*g**3/21 - 288*g**2/7 - 104*g/7 - 784. Factor d(w).
-2*(w + 26)*(11*w + 2)/7
Suppose 485*c**3 + 1006*c**5 - 540*c**5 - 646*c**5 + 160*c**2 - 60*c + 85*c**4 = 0. What is c?
-1, -3/4, 0, 2/9, 2
Let t = 2 - -2. Let s be (6/(-5))/((-18)/30). Factor t*m**4 + 3*m**3 - m**3 - 5*m**4 - m**s.
-m**2*(m - 1)**2
Suppose 3*l - 11 = -7*d + 6*d, -5*d = 4*l - 33. Factor 174*p**2 - 459*p**2 - d*p**3 - 4200*p - 4600 + 680.
-5*(p + 1)*(p + 28)**2
Determine w, given that -2104*w + 800*w**2 + 553352 - 1507*w**2 + 709*w**2 = 0.
526
Let o = 83 - 81. Let z(f) = -f - 5. Let q be z(-7). Solve 31*r**2 - 33*r**q + 2 + o + 2*r = 0 for r.
-1, 2
Let v(h) = -6*h + 156. Let n be v(25). Let a(k) = -3*k**2 + 30*k - 33. Let l(u) = -9*u**2 + 90*u - 98. Let q(x) = n*l(x) - 17*a(x). Factor q(y).
-3*(y - 9)*(y - 1)
Suppose -2*m - 16 = 6*m. Let r(d) = 3*d**2 + 6*d. Let f(y) = y**3 - 3*y**2 - 5*y + 1. Suppose -1 + 19 = -6*p. Let x(o) = m*r(o) + p*f(o). Solve x(w) = 0 for w.
-1, 1
Suppose 0 = f + 2*l - 233, 2*f - 8*l + 11*l = 470. Suppose -247*o + f*o + 18 = 0. Factor -4/3*t**o - 8/3*t + 0 + 4*t**2.
-4*t*(t - 2)*(t - 1)/3
Let c be (10 - -26)/(-6) + (-1603)/(-208). Let f = c + -3/208. Solve -14/13*b**2 + f*b**3 - 18/13*b**5 + 0 + 14/13*b**4 - 4/13*b = 0.
-1, -2/9, 0, 1
Let l be (-17 - 1127/(-69)) + 37/42. Let n(h) be the first derivative of 14 + l*h**4 + 22/21*h**3 + 12/7*h**2 + 8/7*h. Factor n(r).
2*(r + 1)*(r + 2)*(3*r + 2)/7
Suppose 0 = -12515965*z + 12515991*z - 52. Find c such that 8/5*c + 4*c**4 - 6/5*c**5 + 0 - 8/5*c**z - 14/5*c**3 = 0.
-2/3, 0, 1, 2
Suppose -244 - 1186 = -13*m. Find o such that -43*o + 9*o**2 - m*o - 90 - 17*o + 299*o = 0.
-15, 2/3
Let p(r) = 3*r**2 - r - 2. Let t(a) be the third derivative of -a**5/60 + a**3/6 - 133*a**2. Let g(k) = -p(k) - 2*t(k). Factor g(q).
-q*(q - 1)
Let z = -3515 + 3515. Let s(v) be the second derivative of z - 4/21*v**3 + 3*v + 1/42*v**4 + 4/7*v**2. Solve s(h) = 0.
2
Let v(n) be the second derivative of -4*n + 0*n**2 - 2 + 0*n**3 + 19/102*n**4 - 1/170*n**5. Let v(g) = 0. What is g?
0, 19
Let o(d) be the first derivative of -d**6/6 + d**5/5 + 5*d**4/4 - 5*d**3/3 - 2*d**2 + 4*d + 45. Find v such that o(v) = 0.
-2, -1, 1, 2
Suppose 0 = 24*w + 178*w - 1212. Factor 0*g - 3/2*g**4 + 0 + w*g**3 - 9/2*g**2.
-3*g**2*(g - 3)*(g - 1)/2
Let w = 43 + -41. Let b = -3 - -5. Let 55*x**3 - 3*x**b - 19*x**3 - 28*x**4 - 5*x**w = 0. Calculate x.
0, 2/7, 1
Let q be 56581/32606 + (-8)/34. Suppose 3*a + 2*a = 45. Find u such that -a + q*u**2 + 15/2*u = 0.
-6, 1
Let g(b) be the first derivative of -9/11*b**6 + 2/33*b**3 + 0*b + 0*b**2 + 3/22*b**4 - 18/55*b**5 + 63. What is x in g(x) = 0?
-1/3, 0, 1/3
Let z(v) = -3*v**2 + 3066*v + 6147. Let x be z(-2). Let -4/3*m**x + 16/3*m - 1/3*m**2 + 1/3*m**4 - 4 = 0. What is m?
-2, 1, 2, 3
Let t = -886679/2 - -443413. Let w = 14 + 7. Determine i so that t - w*i + 3/2*i**2 = 0.
7
Suppose 0 = -55*x + 18 + 92. Let s be (-52)/(-48) - 0 - (-2)/8. Factor 2/15*r**4 + s*r**3 + 36/5*r + 24/5*r**x + 18/5.
2*(r + 1)*(r + 3)**3/15
Factor -740/9*l**2 - 2/3*l**3 - 122/3 + 1/9*l**5 + 122/9*l**4 - 979/9*l.
(l - 3)*(l + 1)**3*(l + 122)/9
Let w(y) = -y**3 - 42*y**2 - 118*y - 36. Let k be w(-39). Factor 9/2*u**k - 33/2*u - 39/2*u**2 + 15/2.
3*(u - 5)*(u + 1)*(3*u - 1)/2
Let l(j) be the second derivative of 3*j**6/35 - 109*j**5/35 + 296*j**4/7 - 1664*j**3/7 + 1024*j**2/7 + 934*j. Solve l(v) = 0 for v.
2/9, 8
Let i be (-35)/50*(-19350)/1806. What is v in -7/2 - 1/2*v**3 - 9/2*v**2 - i*v = 0?
-7, -1
Let a = -2/43329 + 216649/86658. Let m(d) be the first derivative of 0*d - 1 + a*d**4 + 1/3*d**3 - d**2. Determine y so that m(y) = 0.
-1/2, 0, 2/5
Let s be -9 - (110/10 + -23). Factor 0*j**4 + 0*j - 1/2*j**5 + 0*j**2 + 0 + 0*j**s.
-j**5/2
Suppose -2*s = -2*g - 78, 0 = 2*g - 8 - 2. Suppose 20 = -5*p, -3*h + 0*p + s = p. Factor 8*o - 2*o + 0*o - 2*o + h*o**2.
4*o*(4*o + 1)
Suppose 235/4*h**2 + 703/12 + 1/12*h**3 + 469/4*h = 0. What is h?
-703, -1
Factor -220/3 + 72*b - 17*b**2 - 1/3*b**3.
-(b - 2)**2*(b + 55)/3
Suppose -93312 + 36*x**3 - 40*x + 28*x**2 - 28*x**4 + 4*x**5 + 93312 = 0. Calculate x.
-1, 0, 1, 2, 5
Factor 0 + 72*v + 4/3*v**3 + 116/3*v**2.
4*v*(v + 2)*(v + 27)/3
Let p be 810/275 + (-2316)/4246. Factor 8/5*v**2 - p - 6/5*v**3 + 34/5*v.
-2*(v - 3)*(v + 2)*(3*v - 1)/5
Let d be -43 - (-11193)/205 - (3 + -4)/(2/(-22)). Find r such that -28/5 + d*r + 1/5*r**2 = 0.
-7, 4
Factor 1/3*l**2 - 8*l - 25/3.
(l - 25)*(l + 1)/3
Let g(j) be the third derivative of 16*j**7/315 + 371*j**6/180 + 2357*j**5/90 + 2365*j**4/36 + 121*j**3/3 + 54*j**2 - j + 5. Find p such that g(p) = 0.
-11, -1, -3/16
Suppose -5*g + 3*n = -16, 5*g + 4 = 9*g + 2*n. Let x(v) be the second derivative of -6*v + 1/3*v**4 + 0 - 8/3*v**3 + 6*v**g. Solve x(f) = 0 for f.
1, 3
Let s = 1780 + -1632. Suppose s*h = 130*h + 54. Find p, given that 3/4*p**h + 15/2*p**2 + 24*p + 24 = 0.
-4, -2
Factor 3/5*f**3 + 225*f + 162/5*f**2 + 966/5.
3*(f + 1)*(f + 7)*(f + 46)/5
Let g(h) be the second derivative of -h**5/4 + 35*h**4/6 + 5*h**3/6 - 35*h**2 - 195*h - 2. Find o, given that g(o) = 0.
-1, 1, 14
Let z(o) = -34*o - 452. Let h be z(-8). Let f be ((9/(-2))/(-3))/((-90)/h). Factor 3*a + 1/4*a**f - 2 - 3/2*a**2.
(a - 2)**3/4
Let 0*c**3 + 6*c**3 + 3*c**2 - 7*c**3 + 26 - 17*c**2 - 11*c = 0. What is c?
-13, -2, 1
Factor 157*d**2 + 260*d**2 - 990*d - 9*d**3 + 100*d**2 + 507*d**2 + 467*d**2.
-3*d*(d - 165)*(3*d - 2)
Suppose -39 = 2973*l - 2976*l. Suppose -275 = -68*q + l*q. Suppose 5/4*u**4 - 1/4*u**3 - 1/2*u + 0 - 5/4*u**2 + 3/4*u**q = 0. Calculate u.
-1, -2/3, 0, 1
Let z = 218393 + -218390. Solve 15/7*b**2 + 3/7*b**z + 12/7 + 24/7*b = 0.
-2, -1
Suppose -101*l = -117*l + 352. Solve -14*b**2 - 197*b**4 + 2*b**5 + 12*b**3 + 30*b**3 - l*b**2 + 181*b**4 = 0.
0, 2, 3
Suppose 81*q = 11*s + 84*q - 24, 2*s - 5*q = 21. Solve -6*z + 0 + 1/3*z**4 + 4/3*z**s - z**2 = 0.
-3, 0, 2
Let t(c) = -62*c**3 + 346*c**2 + 17*c - 346. Let o(s) = -4*s**3 - 2*s**2 + s + 2. Let f(x) = 30*o(x) - 2*t(x). Factor f(h).
4*(h - 188)*(h - 1)*(h + 1)
Let k(c) be the second derivative of c**6/60 + c**5/30 - c**4/12 - c**3/3 - 137*c**2 + 9*c + 14. Let s(n) be the first derivative of k(n). Factor s(a).
2*(a - 1)*(a + 1)**2
Suppose -4*y - 10*f = -14*f - 64, 0 = -5*y - 4*f + 125. Suppose 5*r + 4*k - 23 = 0, -4*k + y - 16 = -r. Factor 1/7*c**4 + 2/7 - c + 9/7*c**2 - 5/7*c**r.
(c - 2)*(c - 1)**3/7
Let y(n) be the first derivative of -5/12*n**6 + 15/8*n**4 + 5/2*n**2 + 0*n + 25/6*n**3 - 1/2*n**5 + 19. Factor y(r).
-5*r*(r - 2)*(r + 1)**3/2
Let y = 11671 + -11667. Let v(x) be the first derivative of -23 - 4/3*x**3 - y*x + 4*x**2. Let v(u) = 0. What is u?
1
Let w be ((-219)/(-146))/(6/224). Let v be (24/56 - (-4)/w)*0. Factor v*d + 0 - 1/9*d**4 + 1/9*d**2 + 1/9*d**5 - 1/9*d**3.
d**2*(d - 1)**2*(d + 1)/9
Let k = -36 + 36. Suppose -9*c + k*c + 36 = 0. Find n, given that -4*n**3 - 37*n**2 - 4*n**c + 41*n**2 + 0*n**5 + 0*n**5 + 4*n**5 = 0.
-1, 0, 1
Let q(w) be the third derivative of -w**5/12 - 4465*w**4/12 - 3987245*w**3/6 - 2890*w**2. Solve q(l) = 0 for l.
-893
Let l(m) be the third derivative of 1/10*m**6 + 0 + 0*m - 3/10*m**5 + 9