 116*l**2/5 - 192*l/5 - 627. Factor n(q).
2*(q - 24)*(q + 1)*(q + 4)/5
Let l(y) be the second derivative of 11*y**5/60 + 7*y**4/24 - 5*y**3/4 + y**2/6 + 139*y + 20. Factor l(g).
(g - 1)*(g + 2)*(22*g - 1)/6
Let s(n) be the first derivative of n**4/4 + 10*n**3/3 + 8*n**2 + 438. Factor s(d).
d*(d + 2)*(d + 8)
Factor 17*w**4 - 2245*w**2 + 1 - 1 - 15*w**4 - 94*w - 98*w**3 + 2435*w**2.
2*w*(w - 47)*(w - 1)**2
Let f be (20/(-7) - -5)*(-15 - (-10 - 20)). Solve -78/7*q**4 + 48/7 - f*q**3 - 36/7*q - 240/7*q**2 - 9/7*q**5 = 0.
-4, -2, -1, 1/3
Solve 11378/3*h + 1264 + 2*h**2 = 0 for h.
-1896, -1/3
Let k(a) be the second derivative of -a**4/6 + 1297*a**3/3 + 2598*a**2 - 11960*a. Solve k(x) = 0 for x.
-2, 1299
Let q(t) be the third derivative of -12*t**3 + 134*t**2 - t - 1/60*t**6 + 0 - 13/30*t**5 - 4*t**4. Determine m so that q(m) = 0.
-6, -1
Let s = 6 - 2. Let d(g) = g + 4. Let c be d(s). Factor -52*h + c - 8*h**5 + 4*h**5 - 4*h**5 - 152*h**3 + 128*h**2 - 12*h**5 + 88*h**4.
-4*(h - 1)**4*(5*h - 2)
Let c(l) = 873*l**2 + 867*l + 66. Let p(j) = -873*j**2 - 867*j - 78. Let g(s) = 7*c(s) + 6*p(s). Factor g(h).
3*(h + 1)*(291*h - 2)
Let y(g) be the first derivative of 177 - 20*g + 15/4*g**4 + 5/3*g**3 - 30*g**2. Factor y(x).
5*(x - 2)*(x + 2)*(3*x + 1)
Let f be (-42*46/(-4025))/(3 + 52/(-20)). Factor 8/5 + 4/5*w**3 - 8/5*w - f*w**2 + 2/5*w**4.
2*(w - 1)**2*(w + 2)**2/5
Let s = -1131752/35 + 32338. Let t = 76/35 + s. Determine n so that -24/5*n + 6/5*n**4 - 8/5 + 2/5*n**5 - 2/5*n**3 - t*n**2 = 0.
-2, -1, 2
Let y(o) be the first derivative of -o**6/240 - 3*o**5/80 - o**4/8 - 34*o**3/3 - 3*o - 63. Let q(h) be the third derivative of y(h). Factor q(p).
-3*(p + 1)*(p + 2)/2
Let c(g) be the second derivative of -13/90*g**5 + 10*g - 3 - 5/9*g**3 + 1/135*g**6 - 29/54*g**4 + 0*g**2. Find f such that c(f) = 0.
-1, 0, 15
Let g be 9 - 8 - (-17*(-45)/1836 + (-1)/(-3)). Let s be (1*(-1 - -4))/1. Factor 17/4*o**2 + g*o**4 + 17/4*o + 3/2 + 7/4*o**s.
(o + 1)**2*(o + 2)*(o + 3)/4
Suppose -22*l - 18 = -m - 19*l, -3*l + 36 = 5*m. Factor 0*j + 14*j + 16*j - m*j - 45*j**2 + 3*j.
-3*j*(15*j - 8)
Let q(m) = 2*m**3 - 114*m**2 + 14*m - 796. Let g be q(57). Let 22/5*h + 121/5 + 1/5*h**g = 0. What is h?
-11
Find o, given that 50/9*o**4 + 2/9*o**5 + 284/9*o**3 - 388/9*o**2 - 286/9*o + 338/9 = 0.
-13, -1, 1
Let b(s) = -2*s**3 + s**2 - s + 10. Let z(o) = o**3 - 2552*o**2 - 10162*o - 10172. Let p(v) = -2*b(v) - z(v). Suppose p(y) = 0. What is y?
-846, -2
Let p = 96184/144285 + 2/48095. Determine w so that -4/7*w**3 - 2/3*w**2 + 4/21*w + p*w**4 + 8/21*w**5 + 0 = 0.
-2, -1, 0, 1/4, 1
Let n(c) be the second derivative of c**5/20 + 233*c**4/6 + 8970*c**3 - 54756*c**2 + 1022*c. Find p such that n(p) = 0.
-234, 2
Let v be (-5913)/(-459) + 15 + -28 - 36/(-17). Factor -141/4*f**v + 9/4*f**3 + 48 + 132*f.
3*(f - 8)**2*(3*f + 1)/4
Solve -99/2 - 651/4*l + 9/4*l**3 - 42*l**2 = 0.
-3, -1/3, 22
Let h(r) = -3*r - 54. Let m be h(-19). Suppose 3*d + 3*p = 15, -m*d - p - 5 = -16. Suppose 1/6 - 1/6*y**2 + 4/3*y - 4/3*y**d = 0. Calculate y.
-1, -1/8, 1
Let l be (-12)/(-10)*(-1960)/(-84). Suppose -3*v + l = 4*v. Factor s**4 - 4 + 10*s**v - 6*s**2 + 14*s**3 - 14*s - 4*s**4 + 3*s**4.
2*(s - 1)*(s + 1)**2*(5*s + 2)
Suppose -26 = 2*v - 4. Let z(a) = 2*a + 25. Let f be z(v). Factor q**2 + 5*q**4 - 7*q**4 + f*q**3 + q**4 - 3*q.
-q*(q - 3)*(q - 1)*(q + 1)
Suppose -2058*h + 1152 + 6872 = 255*h - 307*h. Factor 14/3 - 2/3*b**2 - h*b.
-2*(b - 1)*(b + 7)/3
Let f(q) be the third derivative of 152*q**2 - 1/12*q**4 + 0*q + 1/60*q**6 + 0 + 1/210*q**7 + 0*q**3 - 1/60*q**5. Factor f(g).
g*(g - 1)*(g + 1)*(g + 2)
Suppose 2*a + 20*a - 44 = 0. Factor 2*n + n - n**2 + 2384 - 2370 + a*n.
-(n - 7)*(n + 2)
Let a(k) be the first derivative of -k**6/1080 - 7*k**5/360 - 5*k**4/36 - 109*k**3/3 + 156. Let n(f) be the third derivative of a(f). Factor n(g).
-(g + 2)*(g + 5)/3
Factor -7*t**2 + t**2 - 3788*t + 180 + 3886*t.
-2*(t - 18)*(3*t + 5)
Let n = -252150 - -252152. Factor 0 + 2/5*o**n + 36/5*o.
2*o*(o + 18)/5
Let m(j) be the first derivative of -j**6/2340 - 3*j**5/260 + j**4/3 - 169*j**3/3 - 91. Let g(b) be the third derivative of m(b). Factor g(v).
-2*(v - 4)*(v + 13)/13
Let a(t) be the second derivative of t**7/3360 - t**5/120 - t**3/3 - 16*t**2 - 54*t + 1. Let q(s) be the second derivative of a(s). Let q(k) = 0. What is k?
-2, 0, 2
Let h be ((-20)/32*(7 + -3))/(49 - 51). Let b(a) be the second derivative of 0 + 9*a**2 - h*a**4 - 3/4*a**5 + 5/2*a**3 - 1/10*a**6 - 6*a. What is c in b(c) = 0?
-3, -2, -1, 1
Let s(g) = -g**3 - 13*g**2 - 19*g - 21. Let y be s(-12). Let z = -42 + y. Determine l, given that -18*l**2 + 16*l - 11 + z*l - 1 + 21*l = 0.
2/9, 3
Let d(v) be the second derivative of 0 - 67/60*v**4 - 2/5*v**2 - 296*v - 14/15*v**3 - 37/150*v**6 - 1/30*v**7 - 73/100*v**5. What is u in d(u) = 0?
-2, -1, -2/7
Let g be 84/10 - (-2 - 24/(-10)). Let j = g + -6. Let -4*q**3 - q**4 + j*q**4 - 168*q**2 + 163*q**2 = 0. What is q?
-1, 0, 5
Factor 2/9*p**4 - 32/9 + 10/3*p**2 + 16/9*p - 16/9*p**3.
2*(p - 4)**2*(p - 1)*(p + 1)/9
Factor -662/7*r - 1/7*r**2 - 109561/7.
-(r + 331)**2/7
Factor 1/3*z**2 + 768 - 32*z.
(z - 48)**2/3
Let t = 4048/17 + -238. Let r be 3*1*1 + 24/(-24). What is c in 0*c - t + 2/17*c**r = 0?
-1, 1
Suppose 40*n = 13*n + 324. Factor 28*d + 2574*d**3 - 12 - 1284*d**3 - 1318*d**3 + n*d**2.
-4*(d - 1)*(d + 1)*(7*d - 3)
Factor -68/15 + 2/15*r**2 - 22/5*r.
2*(r - 34)*(r + 1)/15
Let v = -5 - -13. Suppose v*t - 6*t - 4 = 0. Determine g, given that -19*g**t + 7 + 16*g**2 + 5 = 0.
-2, 2
Factor -22/7*m + 0 + 22/7*m**3 - 1/7*m**4 + 1/7*m**2.
-m*(m - 22)*(m - 1)*(m + 1)/7
Let v be ((-60)/(-25))/(6/15 - 0). Let u(k) = 2*k**3 + 10*k**2 - 20*k + 8. Let t(a) = 7*a**3 + 39*a**2 - 78*a + 32. Let r(m) = v*t(m) - 22*u(m). Factor r(n).
-2*(n - 4)*(n - 2)*(n - 1)
Suppose -238 + 206 = -8*p. Let c(v) be the third derivative of 0*v + 0 + 10*v**2 + 0*v**p + 0*v**3 + 1/15*v**5. Factor c(a).
4*a**2
Suppose 7 - 9 + 7 + 15*x**4 - 44*x**2 - 77 - 70*x**2 - 21*x**3 + 228*x = 0. Calculate x.
-3, 2/5, 2
Let x(f) be the second derivative of -f**7/14 + 3*f**5/10 - f**3/2 - 3*f - 91. Factor x(q).
-3*q*(q - 1)**2*(q + 1)**2
Let a(i) = 2*i**2 - 13*i + 5. Let n(u) = 2*u**2 - 11*u + 4. Let x(q) = -5*a(q) + 6*n(q). Let v(t) = 11*t**2 + 2*t + 3. Let y(c) = -v(c) + 6*x(c). Factor y(p).
(p - 9)*(p + 1)
Let c(o) be the third derivative of -o**6/90 + 2*o**4/3 - 7*o**3 - 66*o**2. Let a(p) be the first derivative of c(p). Factor a(z).
-4*(z - 2)*(z + 2)
Let z(f) be the first derivative of 4*f**4 + 0*f**2 + 0*f - 20 + 2/5*f**5 - 6*f**3. Suppose z(j) = 0. Calculate j.
-9, 0, 1
Let y be (3073/182 + (-561)/33)*-16. Suppose -20/13*m**2 + 2/13*m**3 - y - 46/13*m = 0. Calculate m.
-1, 12
Let r(v) be the first derivative of -v**5/20 - v**4/16 + 11*v**3/3 - 12*v**2 - 859. Suppose r(p) = 0. Calculate p.
-8, 0, 3, 4
Factor 0 - 2/11*i**3 - 30/11*i**2 - 52/11*i.
-2*i*(i + 2)*(i + 13)/11
Factor -49 + 2*f**2 + 1058*f + 8 - 503 - 516.
2*(f - 1)*(f + 530)
Suppose 5*r + 3086 = -3*i, 3*r + 8*i + 1858 = 3*i. Let s = -3068/5 - r. Factor -s*w - 3/5*w**2 - 12/5.
-3*(w + 2)**2/5
Let z = 10 + -7. Let m be (-52)/6500*-25*25. Find r such that -3/5*r - 3/5*r**m + 0*r**2 + 6/5*r**z + 0 + 0*r**4 = 0.
-1, 0, 1
Determine z, given that 30*z**2 + 27*z**4 - 14*z**3 - 3329*z + 3311*z - 25*z**4 = 0.
0, 1, 3
Let d(n) be the third derivative of -n**6/24 - 11*n**5/2 - 105*n**4/2 - 620*n**3/3 - 905*n**2. Factor d(m).
-5*(m + 2)**2*(m + 62)
Let p(m) be the first derivative of -m**6/216 + 19*m**5/72 + 70*m**3/3 + 107. Let c(l) be the third derivative of p(l). Factor c(y).
-5*y*(y - 19)/3
Let x(f) be the first derivative of -6*f**2 - 19 + 0*f + 7/720*f**5 + 1/36*f**3 + 1/32*f**4. Let t(l) be the second derivative of x(l). Factor t(k).
(k + 1)*(7*k + 2)/12
Suppose 8*w + 13 = 2*s - 131, -2*s + 42 = -2*w. Determine l, given that 64/7 + 24/7*l - 4/7*l**5 - 100/7*l**2 - 20/7*l**3 + 36/7*l**s = 0.
-1, 1, 2, 8
Suppose 250 + 805/2*t**2 + 6605/2*t**3 - 4205/2*t**5 - 1305/2*t**4 - 1200*t = 0. What is t?
-1, 10/29, 1
Let p be (-38)/(-10) + (-24)/(-120). Suppose 0 = -z + 4*x + x - 6, p*z - 20 = -2*x. Solve 0*g**4 - 4*g**5 - 6*g**3 + 7*g**5 + 3*g + 0*g**z = 0.
-1, 0, 1
Let o(m) be the second derivative of 1/6*m**6 - 3*m + 125/6*m