 - 1/4*c**5 - 1620*c**2 + 0. Let z(r) = 0. What is r?
-18, -2
Factor -173*n**3 + 51*n**3 + 0*n**4 - 60*n**2 - 2*n**5 - 64*n**4.
-2*n**2*(n + 1)**2*(n + 30)
Suppose 0*s + 120 = 15*s. Factor -4*h**2 - 2*h**2 + 145 + s*h + h**2 - 32*h + 164*h.
-5*(h - 29)*(h + 1)
Let m be (-2 + -14 - -13)*((-372)/45 - -8). Solve -m + 2/5*o**3 + 7/5*o**2 + 4/5*o = 0.
-2, 1/2
Find q, given that -230*q**2 + 0 + 1/2*q**5 + 150*q - 12*q**4 + 183/2*q**3 = 0.
0, 1, 3, 10
Let r(q) = -2521*q + 95802. Let h be r(38). Factor 37/5*c**3 + 6/5*c**h + 78/5*c**2 + 8/5 + 12*c.
(c + 2)**3*(6*c + 1)/5
Let g be (0 - -1 - (-190)/(-210))*(38 - 31). Factor -1/6*u**3 - 1/6*u**2 + g + 2/3*u.
-(u - 2)*(u + 1)*(u + 2)/6
Let p(m) be the first derivative of m**4/4 - 25*m**3 + 1443*m**2/2 - 8281*m + 3904. What is r in p(r) = 0?
13, 49
Factor 2/5*u**4 + 44*u + 64/5*u**2 - 28/5*u**3 + 126/5.
2*(u - 9)*(u - 7)*(u + 1)**2/5
Factor -15/4*i**2 - 33*i + 432.
-3*(i + 16)*(5*i - 36)/4
Let x(a) be the first derivative of 13*a**5/690 - 7*a**4/138 + a**3/69 - 3*a**2 - 217. Let p(z) be the second derivative of x(z). Factor p(s).
2*(s - 1)*(13*s - 1)/23
Let z(c) = c**3 - 9*c**2 + 11*c - 6. Suppose 14 = 3*f + 2*b, 0 = -2*f - 2*f + 4*b + 52. Let i be z(f). Factor 13*o + 3*o**2 - i + 0*o**2 - 16*o.
3*(o - 3)*(o + 2)
Let d(p) be the first derivative of -p**7/5460 - p**6/195 - 94*p**3/3 + 28. Let g(b) be the third derivative of d(b). Determine r, given that g(r) = 0.
-12, 0
Let g(i) be the third derivative of -i**6/6 - 13*i**5/15 - 4*i**4/3 - 736*i**2. Find p such that g(p) = 0.
-8/5, -1, 0
Let d(m) be the second derivative of -m**7/945 - m**6/270 + m**4/54 + m**3/27 + 87*m**2 + 185*m. Let h(c) be the first derivative of d(c). Factor h(k).
-2*(k - 1)*(k + 1)**3/9
Let a(s) be the first derivative of 17*s**4/16 - 49*s**3/12 - 3*s**2/4 - 6482. Factor a(z).
z*(z - 3)*(17*z + 2)/4
Let x = -146 - -148. Factor -2*f**4 - 20*f**2 + 33*f**x - 8*f**3 + 11*f**2.
-2*f**2*(f - 2)*(f + 6)
Suppose 116 = 2*l + 5*t, 3*l - l = 3*t + 84. Suppose 24 + l = 24*k. Factor 0*a - 3/2*a**2 + 1/2*a**k + 0.
a**2*(a - 3)/2
Let p(l) be the first derivative of -49*l**4/12 + 224*l**3/3 - 440*l**2 + 3200*l/3 - 4685. Factor p(g).
-(g - 8)*(7*g - 20)**2/3
Solve 0*l + 36/7*l**4 + 104/7*l**2 + 0 + 138/7*l**3 + 2/7*l**5 = 0.
-13, -4, -1, 0
Let a = 29014/39 - 9667/13. Suppose -a*x**4 + 0 + x**3 - 4/3*x + 0*x**2 = 0. Calculate x.
-1, 0, 2
Determine y so that 5*y**4 + 43115388 - 1860*y**3 - 43115388 + 7500*y - 5645*y**2 = 0.
-4, 0, 1, 375
Let s(k) = -22*k - 62. Let n be s(-3). Factor 6*b**2 + 3*b**2 + 181*b**n - 178*b**4 + 12*b**3.
3*b**2*(b + 1)*(b + 3)
Suppose 0 = 13297*q - 13316*q + 38. Factor 8/3*i + 2/3*i**2 + q.
2*(i + 1)*(i + 3)/3
Let a(b) be the first derivative of -b**3/2 - 90. Suppose a(l) = 0. Calculate l.
0
Let c = 3118 + -2057879/660. Let k(v) be the third derivative of -1/110*v**5 + c*v**6 + 1/44*v**4 + 0 - 12*v**2 - 1/33*v**3 + 0*v. Determine m so that k(m) = 0.
1
Let c(k) be the second derivative of k**5/120 - 11*k**4/3 - 59*k**3/4 - 133*k**2/6 - 43*k. Solve c(m) = 0 for m.
-1, 266
Let g(d) be the first derivative of 160*d + 52*d**3 - 159*d**2 + 326 + 1/2*d**4. Find s such that g(s) = 0.
-80, 1
Let j(l) be the first derivative of l**4/18 - 80*l**3/9 - 121*l**2/9 - 10453. Factor j(d).
2*d*(d - 121)*(d + 1)/9
Let s(b) be the first derivative of -578*b**5/45 + 2006*b**4/9 - 9124*b**3/9 - 1652*b**2/9 - 98*b/9 - 2822. Factor s(n).
-2*(n - 7)**2*(17*n + 1)**2/9
Suppose 197200*j**2 + 67378984*j - 207875856 - 949416*j**4 + 434588*j**2 + 1950*j**3 + 949418*j**4 = 0. Calculate j.
-326, 3
Suppose 10*y - 47 = -7. Suppose 3*j - 16 + 11 = 2*u, -4*u + 20 = y*j. Find a, given that -3/4*a**3 + a**4 + 0*a + 0*a**u - 1/4*a**5 + 0 = 0.
0, 1, 3
Let j(g) = -6*g**2 + 16*g + 15. Let u be j(-1). Let o(m) = -3*m - 18. Let p be o(u). Solve 0 - 2/5*x**4 + 2/5*x**2 + 1/5*x**5 - 1/5*x**p + 0*x = 0.
-1, 0, 1, 2
Solve -7680*l - 11712 + 244*l**4 - 8773 + 7678*l**3 + 2608 - l**5 + 3*l**5 + 3477 + 14156*l**2 = 0 for l.
-60, -2, -1, 1
Let b(n) = 5*n**4 - 83*n**3 - 56*n**2 - 2*n. Let d(a) = -6*a**4 + 82*a**3 + 55*a**2 + 3*a. Let o(r) = 3*b(r) + 2*d(r). Factor o(c).
c**2*(c - 29)*(3*c + 2)
Let f(b) be the second derivative of b**5/130 - 51*b**4 + 135252*b**3 - 179344152*b**2 + 1317*b. Factor f(y).
2*(y - 1326)**3/13
Let w(q) be the first derivative of -q**6/15 - 68*q**5/25 + 4*q**4 + 356*q**3/15 + 21*q**2 - 7925. Let w(d) = 0. Calculate d.
-35, -1, 0, 3
Let y(h) be the first derivative of 7*h**5 + 17 - 40*h - 75*h**2 + 75/2*h**4 + 5/3*h**3. Solve y(x) = 0.
-4, -1, -2/7, 1
Suppose 16*c - 19*c = 300. Let k be 28/8*c/(-245). Factor -4/7*f - 8/7*f**3 + 0 - 2/7*f**4 - k*f**2.
-2*f*(f + 1)**2*(f + 2)/7
Let n = -584 - -611. Factor 129 - 14*b - 141 - 22*b + 21*b**3 + n*b**2.
3*(b - 1)*(b + 2)*(7*b + 2)
Let t(x) be the first derivative of -x**7/350 - 3*x**6/200 - 3*x**5/100 - x**4/40 + 3*x**2/2 - 4*x - 30. Let g(y) be the second derivative of t(y). Factor g(s).
-3*s*(s + 1)**3/5
Factor 64/9*a**2 - 4/9*a**3 + 0 + 68/9*a.
-4*a*(a - 17)*(a + 1)/9
Let w be 1 + 4778/(-8) + 10/8. Let p be 8/(-28) - 240/w. Let 10/17*u + p*u**2 + 8/17 = 0. Calculate u.
-4, -1
Let f(k) = -4*k**3 - 176*k**2 - 7356*k + 7569. Let a(n) = 15*n**3 + 703*n**2 + 29437*n - 30276. Let q(y) = 6*a(y) + 22*f(y). Factor q(d).
2*(d - 1)*(d + 87)**2
Let z(y) be the first derivative of y**6/120 + y**5/20 + y**4/8 + y**3/6 + 35*y**2/2 - 30. Let d(r) be the second derivative of z(r). Factor d(a).
(a + 1)**3
Suppose -3*g + a + 8 = 0, 0 = -2*g - a + 12 - 5. Suppose n = -0*n + g. Factor 2/3*h**n + 12 + 14*h + 16/3*h**2.
2*(h + 2)*(h + 3)**2/3
Let w(u) = 44*u - 163. Let f be w(10). Factor 5*m**2 - 398 - 8*m**2 - 65*m - 25*m - f.
-3*(m + 15)**2
Let t(h) = -432*h**2 - 1681*h. Let w(q) = 69*q**2 + 280*q. Let v(y) = 4*t(y) + 25*w(y). Determine k so that v(k) = 0.
0, 92
Let t(v) be the first derivative of 4/3*v**3 + 0*v**2 + 1/2*v**4 - 2/5*v**5 + 0*v - 116. Suppose t(y) = 0. What is y?
-1, 0, 2
Let a(f) be the first derivative of -1/26*f**4 + 0*f**3 + 4/13*f + 17 + 3/13*f**2. Suppose a(i) = 0. What is i?
-1, 2
What is c in 83*c + c**2 + 10*c**2 - 11*c**2 + 4*c**2 - 107*c = 0?
0, 6
Let t be (-8)/(-20)*(-10)/(-2). Let m = 126 - 120. Let -16*j**3 - 21*j + 27*j**2 - m*j**3 + 7*j**3 + j**4 + t*j**4 + 6 = 0. What is j?
1, 2
Let r = -43 - 42. Let z = -81 - r. Let 0*f**2 + 4*f**5 + 4*f**2 + 156*f**4 + 12*f**3 - 144*f**z = 0. Calculate f.
-1, 0
Let o = 8933 + -8928. Let s(q) be the second derivative of -1/9*q**3 - 7/90*q**6 + 2/63*q**7 + 0 + 2/9*q**4 + 7*q - 1/30*q**o - 1/6*q**2. Factor s(j).
(j - 1)**3*(j + 1)*(4*j + 1)/3
Let r be 32920/17283 + (-2)/(-21). Suppose 0*z**r + 0*z + 0 + 4/7*z**3 - 4/7*z**4 = 0. Calculate z.
0, 1
Suppose -9670526*c + 9670451*c + 225 = 0. Factor 0 - 2*r**c + 0*r + 1/2*r**2.
-r**2*(4*r - 1)/2
Solve 25209*j - 15*j**3 - j**4 + 25207*j - 50497*j - 63*j**2 = 0.
-9, -3, 0
Factor 102 + 15/2*t**3 + 315/2*t + 63*t**2.
3*(t + 1)*(t + 4)*(5*t + 17)/2
Suppose d + 91 = 5*d - 5*b, -2*b = -2. Suppose -d = -2*s - 4*s. Find g, given that -2*g**s + g**2 + 2*g**5 - g**2 = 0.
0, 1
Let k be 281/126 + (-6)/36 - 28/98. Let l(m) be the first derivative of 0*m + 24 + 4/3*m**2 + 5/6*m**4 + k*m**3 + 2/15*m**5. Factor l(s).
2*s*(s + 1)*(s + 2)**2/3
Let j(u) = 111*u**3 - 435*u**2 + 2367*u - 3417. Let w(o) = -15*o**3 + 62*o**2 - 339*o + 488. Let a(p) = 2*j(p) + 15*w(p). Let a(s) = 0. Calculate s.
2, 9
Suppose 3/2*k**2 - 51*k + 435/2 = 0. What is k?
5, 29
Let y(p) = p**2 - 5*p - 12. Suppose -w - 2*t + 1 = 0, 5*w = -2*t - 2*t + 23. Let l be y(w). Let 12*o**l + 8*o**3 - 161 + 161 + 7*o - 15*o = 0. What is o?
-2, 0, 1/2
Suppose -4794*b + 124 = -4798*b. Let z be 29 + b - (-1)/((-2)/(-8)). Solve -3456/7 + 864/7*l + 2/7*l**3 - 72/7*l**z = 0 for l.
12
Suppose 41*u - 21 = 66*u - 32*u. Let t(h) be the third derivative of -10/3*h**u + 1/12*h**5 + 0 + 0*h**4 + 27*h**2 + 0*h. Solve t(l) = 0.
-2, 2
Let i(y) = 8*y - 17. Let p be i(5). Let o = -19 + p. Factor -8*t + 7*t + o*t**2 + 6*t**3 + t.
2*t**2*(3*t + 2)
What is u in 8*u**2 - 4*u**3 - 50*u + 98*u - 49*u**2 - 3*u**2 = 0?
-12, 0, 1
Let n(f) = 3*f**3 + 13*f**2 - 40*f - 118. Let a be n(-5). Factor 0 + a*y**2 - 24*y**3 + 6*y**4 - 128/9*y.
2*y*(3*y - 4)**3/9
Let m(v) be the first derivative of -3*v**4/16 + 1