(w + 3)/5
Let t be 1*(-4)/(-3)*7800/65. Suppose 53*x + t = 57*x. Factor 5*s**3 + 10*s**2 - 15*s**2 + 30*s + x*s**2.
5*s*(s + 1)*(s + 6)
Let l(h) = -8*h**4 + 79*h**3 + 78*h**2 + 18*h - 18. Let z(d) = -d**4 + 2*d - 2. Let k(m) = 4*l(m) - 36*z(m). Factor k(i).
4*i**2*(i + 1)*(i + 78)
Solve 491*d**5 + 3312 - 1463*d**5 - 964*d**2 + 489*d**5 - 228*d**3 + 487*d**5 + 84*d**4 + 0*d**4 + 1248*d = 0.
-23, -2, 3
Factor 33*c**2 - 143*c**2 + 68*c - 1080 + 114*c**2.
4*(c - 10)*(c + 27)
Let f be 27/21 - 8515/6650. Let n(d) be the second derivative of 18*d + 1/57*d**4 + f*d**5 + 0*d**3 + 0*d**2 + 0. Factor n(z).
2*z**2*(z + 2)/19
Find p, given that 464/5*p + 2/5*p**2 + 0 = 0.
-232, 0
Let l(t) be the first derivative of 35 + 1/8*t**4 - t**3 + 0*t + 2*t**2. Factor l(p).
p*(p - 4)*(p - 2)/2
Let v = 599 - 532. Factor 119*t + 3*t**2 + 43 + 16*t + v + 22.
3*(t + 1)*(t + 44)
Suppose 17*q - 4*q - 28*q + 45 = 0. Let 19/6*i - q - 1/6*i**2 = 0. What is i?
1, 18
Let a(v) be the first derivative of 2*v**4 - 50*v**3/3 + 38*v**2 - 16*v - 366. Factor a(h).
2*(h - 4)*(h - 2)*(4*h - 1)
Let s(u) = u**2 - 1086*u + 11827. Let k be s(11). Factor -3/2*p**3 + 234*p**k + 210912 - 12168*p.
-3*(p - 52)**3/2
Suppose 6*r + 5 = 11*r. Let c(t) = -15*t**4 + 33*t**3 + 3*t**2 - 21*t. Let w(j) = -j**4 + j. Let d(k) = r*c(k) - 12*w(k). Factor d(n).
-3*n*(n - 11)*(n - 1)*(n + 1)
Let o = -44 - -44. Let a(f) = -f**3 + f**2 + 2*f + 18. Let c be a(o). Factor -c*q**3 + 9*q**3 + 19*q - 3*q**4 - 7*q.
-3*q*(q - 1)*(q + 2)**2
Factor 2/15*a**4 + 0 + 0*a - 76/5*a**3 + 448/15*a**2.
2*a**2*(a - 112)*(a - 2)/15
Let 108/5*c**2 + 78/5*c + 22/5*c**3 - 8/5 = 0. What is c?
-4, -1, 1/11
Find x such that 40301*x - 3430 - 134205*x**4 + 133147*x**2 - 1853470*x**4 + 1070460*x**3 + 31484*x + 695335*x**3 - 679462*x**2 = 0.
7/43, 2/5
Let z = 30 + -28. Suppose -z*g + 1 = -1. Factor g - 2*f + 2 + 1 - f**2 - 1.
-(f - 1)*(f + 3)
Factor -3452/7*v**2 - 1250/7 + 94/7*v**4 - 3650/7*v - 2/7*v**5 - 956/7*v**3.
-2*(v - 25)**2*(v + 1)**3/7
Let u be -5 - -1*(16 + -7). Let g(q) be the first derivative of -5/2*q**3 - 25/8*q**2 + 5 + 5/2*q + 45/16*q**u. Find y such that g(y) = 0.
-2/3, 1/3, 1
Let q = 1099/1716 - -15/572. Factor -4/3*t**2 + 0 - q*t**4 - 2*t**3 + 0*t.
-2*t**2*(t + 1)*(t + 2)/3
Factor 726192 + 3/4*r**2 + 1476*r.
3*(r + 984)**2/4
Let q(k) be the first derivative of 2*k**6/9 - 4*k**5/5 + 1050. Factor q(a).
4*a**4*(a - 3)/3
Let h(t) be the second derivative of -484/7*t**2 + 44/21*t**3 - t + 16 - 1/42*t**4. What is m in h(m) = 0?
22
Let l(j) be the first derivative of 3/2*j**4 - 96 + 0*j**5 - 1/3*j**6 + 4/3*j**3 + 0*j + 0*j**2. Solve l(r) = 0.
-1, 0, 2
Solve -2*q**2 - 1940 + 175*q - 19*q - 2016 + 909 + 5 = 0 for q.
39
Let x(q) be the third derivative of 0*q - 57*q**2 + 0 + 1/4*q**4 - 2/9*q**3 + 1/2*q**5. Factor x(l).
2*(3*l + 1)*(15*l - 2)/3
Let t(j) be the first derivative of 9/2*j**2 + 3/5*j**5 - 9/4*j**4 - 62 + j**3 - 6*j. Determine c, given that t(c) = 0.
-1, 1, 2
Let a = -113 + 115. Let 3*x**3 + 2*x**3 - 12*x - a*x**3 - 2*x**2 - x**3 = 0. Calculate x.
-2, 0, 3
Let h(k) be the first derivative of k**3/15 - 57*k**2/2 + 284*k/5 + 1726. Factor h(a).
(a - 284)*(a - 1)/5
Let j = -830 - -1415. Let n be 4/10 + (-104)/j. Determine w so that -n + 0*w + 2/9*w**2 = 0.
-1, 1
Let h be 114/8*-7 + (-187)/(-748). Let c = 1007/10 + h. Find s, given that 0*s + c*s**2 + 0 - 2/5*s**3 = 0.
0, 3
Factor -60*g**2 - 234*g**2 + 23*g**3 - 26*g**3.
-3*g**2*(g + 98)
Suppose a + d - 17 = 0, a + 226*d + 118 = 234*d. Factor 0 - 20*s + 1/2*s**a.
s*(s - 40)/2
Let x(v) be the first derivative of v**6/9 - 94*v**5/15 + 395*v**4/6 - 1850*v**3/9 - 2683. Determine l so that x(l) = 0.
0, 5, 37
Let c(z) be the first derivative of 0*z + 19 + 1/2520*z**6 - 1/42*z**4 + 0*z**2 + z**3 + 0*z**5. Let g(u) be the third derivative of c(u). Factor g(i).
(i - 2)*(i + 2)/7
Let z(m) be the third derivative of 13/11*m**3 + 1/110*m**5 - 8*m**2 + 7/22*m**4 + 0 - m. Factor z(x).
6*(x + 1)*(x + 13)/11
Suppose 0 = y - 4*q + 10, 4*y + 2*q + 41 = 55. What is r in 4/7*r - 4/7*r**3 + 6/7*r**y - 6/7 = 0?
-1, 1, 3/2
Let z(v) be the first derivative of 3*v**5/25 + 9*v**4/10 - 48*v**3/5 + 111*v**2/5 - 99*v/5 + 2968. Solve z(n) = 0 for n.
-11, 1, 3
Let s(f) be the first derivative of 2*f**5/15 - 22*f**4/9 + 56*f**3/27 + 715. Determine a, given that s(a) = 0.
0, 2/3, 14
Let b(v) = -4*v - 38. Suppose -13*m = -12*m + 10. Let o be b(m). Factor -10*f**5 - 2 + 4*f**4 - f**3 + 9*f**5 - 3*f + 8*f - 3*f**3 - 2*f**o.
-(f - 2)*(f - 1)**3*(f + 1)
Let f(t) be the third derivative of 0*t + 0 + 1/5*t**3 - 1/24*t**4 + 36*t**2 + 1/300*t**5. Suppose f(r) = 0. Calculate r.
2, 3
Let u be 88/315 - (-8062)/(-141085). Solve u*t**3 - 26/9*t**2 + 0 + 44/9*t = 0.
0, 2, 11
Let s(c) = -4*c**2 + 1852*c - 55848. Let m(v) = 414*v + 0*v**2 - 18617 + 290*v - v**2 - 86*v. Let t(a) = -11*m(a) + 4*s(a). Determine k so that t(k) = 0.
61
Let m be (-36)/(-4) + -11 - -14. Suppose -1 = 2*h - x, 4*h - 3*x = -15 + m. Factor 0*t + 5/2*t**2 + h - 10/3*t**3 + 5/6*t**4.
5*t**2*(t - 3)*(t - 1)/6
Factor 80*f**2 - 62*f**3 - 56*f**3 + 232*f - 52*f**3 + 192 - 52*f**3 - 2*f**4 + 224*f**3.
-2*(f - 8)*(f + 2)**2*(f + 3)
Suppose -k = 5, -2*f = 5*k - 1 - 4. Let t = f - 13. Factor -3*m**4 + 231*m**3 - 8*m**t - 4*m**2 - 243*m**3.
-3*m**2*(m + 2)**2
Determine b so that 1728/5 + 48*b + 3/5*b**2 = 0.
-72, -8
Let h = 1715 + -1627. Let g be 39 - 51 - h/(-6). Factor -g + 2/3*d**2 - 8/3*d + 2/3*d**3.
2*(d - 2)*(d + 1)*(d + 2)/3
Determine i so that -35/3*i**2 + 1/3*i**3 - 1/3*i + 35/3 = 0.
-1, 1, 35
Let d(j) be the second derivative of j**4/18 - 16*j**3/3 - 100*j**2/3 + 60*j + 3. Solve d(s) = 0 for s.
-2, 50
Let l(t) be the second derivative of -t**5/120 - t**4/12 + t**3/36 + t**2/2 + 1829*t. Factor l(s).
-(s - 1)*(s + 1)*(s + 6)/6
Let u be -14 - (-18 - (-14)/(-7 - 7)). Suppose -12/11*x**3 - 56/11*x**2 + 14/11*x**u + 16/11*x + 0 + 38/11*x**4 = 0. What is x?
-2, 0, 2/7, 1
Let l(m) = 12*m**2 + 7*m. Let r be (-6)/16 - 189/72. Let z(f) = 155*f**2 + 90*f. Let n(s) = r*z(s) + 40*l(s). Factor n(p).
5*p*(3*p + 2)
Solve -236/3 - 2/3*k**2 + 122/3*k = 0 for k.
2, 59
Let a(y) = 21*y + 212. Let j be a(-10). Factor -8 - 5 - 49*i - 2 + 0*i**j + i**2 + 47*i.
(i - 5)*(i + 3)
Let v(z) = 3*z**2 - 286*z - 289. Let m(s) = 2*s**2 - 142*s - 144. Let r(i) = -7*m(i) + 4*v(i). Factor r(h).
-2*(h + 1)*(h + 74)
Factor 3/7*o**2 - 1/7*o**3 + 97/7*o - 99/7.
-(o - 11)*(o - 1)*(o + 9)/7
Let k be 5/(1 + 40/(-38)). Let l = k - -125. Find f, given that 10*f**4 + 19*f**4 - 35*f**2 + l - 24*f**4 - 5*f + 5*f**3 = 0.
-3, -1, 1, 2
Let s(c) be the second derivative of c**5/100 - 5*c**4/12 + 119*c**3/30 - 19*c**2/2 - 2142*c. Determine p, given that s(p) = 0.
1, 5, 19
Factor 2/9*o**2 - 98/3 - 92/9*o.
2*(o - 49)*(o + 3)/9
Suppose 12 = -4*w + 7*w. Let v be w - -2 - 3*1. Factor 3 - 2*g**4 + 3 - 12 + 9*g**3 + 5*g**4 - 9*g + v*g**2.
3*(g - 1)*(g + 1)**2*(g + 2)
Suppose -111*f + 189 = 51 - 195. Solve -64/23 - 2/23*j**5 + 38/23*j**f + 12/23*j**4 - 32/23*j**2 - 120/23*j = 0.
-2, -1, 2, 8
Let o(d) be the first derivative of d**5 - 6395*d**4 + 32691230*d**3/3 + 32729610*d**2 + 32742405*d - 11256. Factor o(n).
5*(n - 2559)**2*(n + 1)**2
Let i = -93 + 93. Let a(w) be the first derivative of -16 + 1/20*w**4 + i*w - 3/10*w**2 + 2/15*w**3. Factor a(u).
u*(u - 1)*(u + 3)/5
Let p be 4/7*14/4. Factor -21 - 19*t**p + 10*t**2 + 25 + 46*t - 41*t**2.
-2*(t - 1)*(25*t + 2)
Suppose r = -3*f - 0 - 87, -3*f + 3*r - 75 = 0. Let h = 20 - f. Find q such that -23*q**3 - 4*q**4 - 20*q**2 - h*q + 7*q**3 + 40*q = 0.
-2, -1, 0
Let f(s) = 18*s + 255. Let a be f(-14). Factor -5*u**4 - 5 - 20*u + 3*u**3 - 13*u**3 + 0 - 30*u**2 - 10*u**a.
-5*(u + 1)**4
Let f(x) be the second derivative of x**6/135 - 4*x**5/9 - 44*x**4/9 - 544*x**3/27 - 368*x**2/9 - 3*x + 169. Factor f(i).
2*(i - 46)*(i + 2)**3/9
Let w = 1540921/120 - 12841. Let s(l) be the third derivative of 0*l**3 + 0*l**4 + 26*l**2 + 1/96*l**6 + 0*l + 1/280*l**7 + 0 + w*l**5. Factor s(z).
z**2*(z + 1)*(3*z + 2)/4
Let t(a) be the third derivative of 166*a**2 + 5*a**4 - 1/4*a**6 + 0 + 0*a - 5/84*a**7 + 2/3*a**5 + 20/3*a**3. What is d in t(d) = 0?
-2, -2/5, 2
Let t(y) = -12631*y - 88417. Let z be t(-7). Determine f, given that z - 245/4*f + 35/2*f**2 - 5/4*f**3 = 0.
0, 7
Let x(v) = 76