7504 = 24*d - 40*d. Factor 5*l**3 - 1877*l**2 + 3826*l**2 - d*l**2.
5*l**2*(l + 46)
Let q(n) be the third derivative of n**8/672 - 13*n**7/420 + n**6/8 - 1658*n**2. Factor q(y).
y**3*(y - 10)*(y - 3)/2
Let h(g) be the first derivative of -g**6/360 + 11*g**5/120 - g**4 + 160*g**3/3 + 200. Let c(s) be the third derivative of h(s). Factor c(j).
-(j - 8)*(j - 3)
Let m be (2/(-7))/(30/210). Let w(u) = -u**2 + u + 3. Let o(j) = -3*j**2 + 5*j + 1. Let h(z) = m*w(z) + 2*o(z). Find n, given that h(n) = 0.
1
Let l be 1018961/1284 + (1666/(-24))/17 + 4. What is a in 9/2 + l*a**2 + 207/2*a + 12167/6*a**3 = 0?
-3/23
Let y = 349 + -346. What is i in -y*i**2 + 4*i + 210 - 6*i - 222 - 13*i = 0?
-4, -1
Let w(c) be the third derivative of c**8/2352 + c**7/147 - 17*c**6/840 - 11*c**5/70 + 4*c**2 - 42. Let w(l) = 0. What is l?
-11, -2, 0, 3
Let m = 702 + -699. Let n(h) = -h**3 + 2*h**2 - 1. Let a(g) = g**2 - 9*g + 8. Let u(t) = m*a(t) - 3*n(t). Suppose u(r) = 0. Calculate r.
-3, 1, 3
Let m(p) = -2*p**2 + 14*p - 39. Let h be m(13). Let u be 1144/h + 18/3. Factor 0*x**4 - u*x**3 + 2/15*x**5 + 0*x + 0*x**2 + 0.
2*x**3*(x - 1)*(x + 1)/15
Suppose q - 70 = -2*k + 6*k, -k + 158 = 2*q. Factor 6*r + 4 + 6*r**3 - 159*r**2 + q*r**2 + 65*r**2.
2*(r - 2)*(r - 1)*(3*r + 1)
Let u(z) = -3*z**2 - 147*z + 3. Let i(h) = -6*h**2 - 295*h + 7. Let l(p) = 3*i(p) - 7*u(p). Find a, given that l(a) = 0.
-48, 0
Factor -75/2*o**3 - 420*o**2 - 135 - 927/2*o.
-3*(o + 10)*(5*o + 3)**2/2
Let 57/4*w**2 - 15 + 27/4*w + 3/4*w**4 - 27/4*w**3 = 0. Calculate w.
-1, 1, 4, 5
Suppose 8*p + 39 = 10*p + 3*o, 3*p - 4*o - 33 = 0. Solve -140 - 116*m**2 + p*m + 52*m**2 + 69*m**2 = 0 for m.
-7, 4
Let p = 179069 - 179066. Factor -45/4*g**2 - 15/2*g - 5/4*g**p + 20.
-5*(g - 1)*(g + 2)*(g + 8)/4
Let a(j) be the second derivative of 36/11*j**2 + 40/11*j**3 + 27/22*j**4 - 50 - j + 3/22*j**5. Factor a(x).
6*(x + 2)*(x + 3)*(5*x + 2)/11
Let q be ((110/(-33))/(-10))/((-2)/(-24)). Factor 3*y**4 - 5*y**5 + 0*y**5 + 6*y**5 - 10*y**3 - 3*y**5 - 11*y**4 - q*y**2.
-2*y**2*(y + 1)**2*(y + 2)
Determine g so that -180*g - 1150 + 2297/2*g**2 + 361/2*g**3 - 1/2*g**5 + 3/2*g**4 = 0.
-10, -1, 1, 23
Let k be -4*((-357)/70 + 5). Let s = 316 - 4738/15. Find u such that -s*u**2 + k*u + 0 = 0.
0, 3
Let i(x) = x**2 + 15*x + 14. Let w be i(-13). Let t(b) = -b**3 - 10*b**2 + 25*b + 14. Let z be t(w). Factor -3*u**z - 29 + 5 - 4*u + 6*u**2 - 17*u.
3*(u - 8)*(u + 1)
Let j(x) = -4*x**3 + 34*x - 18. Let s(r) = -r - 1. Let z be (5/(-20))/(((-3)/72)/1). Let m(g) = z*s(g) + j(g). Determine q, given that m(q) = 0.
-3, 1, 2
Let d(v) = -7*v**2 + 11*v - 6. Let l(q) = -22*q**2 + 34*q - 20. Let s(f) = 19*d(f) - 6*l(f). Determine o so that s(o) = 0.
-1, 6
Let 76/7*p**2 - 288/7 - 232/7*p = 0. Calculate p.
-18/19, 4
Let x(o) be the third derivative of -o**5/540 + 29*o**4/216 - o**3 + 12*o**2 - 21*o. Let x(t) = 0. Calculate t.
2, 27
Let r(m) be the first derivative of -m**7/3780 + 4*m**6/405 - 16*m**5/135 + 64*m**3/3 + 21. Let q(t) be the third derivative of r(t). Find p such that q(p) = 0.
0, 8
Let q be ((-48)/(-9) - 4)/(4/12). Find s such that 35152*s + 1067*s**2 - 114244 - 5123*s**2 + 9*s**3 - 4*s**q + 199*s**3 = 0.
13
Let t(m) be the third derivative of -6*m**2 + 0*m + 0 + 1/1980*m**6 - 1/66*m**4 - 1/660*m**5 + 19/6*m**3. Let w(x) be the first derivative of t(x). Factor w(v).
2*(v - 2)*(v + 1)/11
Let v = 14009 - 14009. Let h(z) be the second derivative of 0*z**2 + v - 1/6*z**4 - z**3 + 22*z. Determine p so that h(p) = 0.
-3, 0
Let h(s) be the first derivative of 3*s**4/22 + 838*s**3/33 + 14560*s**2/11 - 9800*s/11 + 24. Factor h(p).
2*(p + 70)**2*(3*p - 1)/11
Let r(l) be the third derivative of l**6/480 + 9*l**5/80 - 5*l**4/4 - 44*l**3/3 + 2*l**2. Let y(a) be the first derivative of r(a). Factor y(j).
3*(j - 2)*(j + 20)/4
Let q be 396/(-24)*(-10)/(9 + -4). Let r be (8 + q/(-6))*(-1)/(-3). Factor -5/2 + 10/3*l - r*l**2.
-5*(l - 3)*(l - 1)/6
Let -21*x**4 - 2*x**5 + 363*x**3 + 9*x + 48 - 68*x**2 - 387*x**3 + 17*x + 30*x**4 + 11*x**4 = 0. What is x?
-1, 1, 3, 8
Let j = 245780/399477 + 4/30729. Factor j*h - 2/13*h**2 + 10/13.
-2*(h - 5)*(h + 1)/13
Find m, given that 149/10*m + 147/5 + 1/10*m**2 = 0.
-147, -2
Suppose 58*b + 14*b - 685 = -65*b. Let k(v) be the first derivative of 0*v + 0*v**3 + 0*v**2 - 21 + 1/14*v**4 - 2/35*v**b. Factor k(h).
-2*h**3*(h - 1)/7
Suppose 0 + 3/8*t**3 - 387/8*t - 48*t**2 = 0. What is t?
-1, 0, 129
Let r(v) be the second derivative of v**6/10 + 2061*v**5/20 + 685*v**4/4 - 687*v**3/2 - 1029*v**2 - 4085*v. Factor r(j).
3*(j - 1)*(j + 1)**2*(j + 686)
Let l(m) be the first derivative of -m**4/12 + 2*m**3/9 + 8*m**2/3 - 32*m/3 + 1212. Factor l(i).
-(i - 4)*(i - 2)*(i + 4)/3
Factor 2*f**2 + 2*f**2 + 414*f + 349*f + 1480 - 15*f.
4*(f + 2)*(f + 185)
Suppose -15 = -b - 5*n + 7, 2*n = 3*b + 2. Suppose -3*j - z + 37 = 0, -z = -b - 2. Factor 20*h**3 + 28*h - 2*h**4 + 8 + 36*h**2 + j*h**4 - 5*h**4.
4*(h + 1)**3*(h + 2)
Suppose 271/4*n + 68 - 1/4*n**2 = 0. What is n?
-1, 272
Factor -41223 - 2*b**2 + 6*b**2 - 2*b**2 - 126877 - 3*b**2 - 820*b.
-(b + 410)**2
Factor 16*d - 2 - 3671*d**2 - 3651*d**2 + 7304*d**2 + 4.
-2*(d - 1)*(9*d + 1)
Let z = -8460 + 8467. Let n(u) be the third derivative of -1/9*u**3 - 18*u**2 + 1/120*u**6 + 0*u - 1/24*u**4 + 1/630*u**z + 1/180*u**5 + 0. Factor n(f).
(f - 1)*(f + 1)**2*(f + 2)/3
Let d(b) be the first derivative of b**6/150 - 7*b**5/75 - b**4/30 + 14*b**3/15 + 23*b**2/2 - b + 86. Let q(u) be the second derivative of d(u). Factor q(f).
4*(f - 7)*(f - 1)*(f + 1)/5
Let u(s) be the first derivative of 1/12*s**3 + 21/4*s**2 + 441/4*s - 95. Determine q so that u(q) = 0.
-21
Let s = -28 - -68. Suppose 0 = -72*a + 74*a - s. Suppose 35*v**3 + a*v**4 + 273*v**5 - 293*v**5 + 2 - 2 + 10*v**2 = 0. Calculate v.
-1/2, 0, 2
Suppose 0 = v + j - 14, -2*v + 0*j + 4*j + 46 = 0. Suppose 17 = -6*n + v. Solve -2*d + n*d + 3*d + 16 - 2*d**3 - 4*d**2 + 7*d = 0 for d.
-2, 2
Let x(m) be the third derivative of m**6/660 - 23*m**5/110 + 45*m**4/44 - 67*m**3/33 - 639*m**2. Factor x(w).
2*(w - 67)*(w - 1)**2/11
Suppose -13 - 8 = -7*t. Suppose -36*j + 8909 - 21*j**2 - t*j**3 - 8909 = 0. Calculate j.
-4, -3, 0
Let v = 49409 - 49404. Let -115/2*t + 40*t**2 + 45*t**3 + 15 - 55*t**4 + 25/2*t**v = 0. What is t?
-1, 2/5, 1, 3
Let n(k) = 2*k + 43. Let v be (-1)/((-86)/(-42) + -2). Let r be n(v). Let p(b) = b**2. Let y(j) = 19*j**2 + 12*j + 2. Let z(h) = r*y(h) - p(h). Factor z(d).
2*(3*d + 1)**2
Let k(t) be the third derivative of 12*t**2 - t - 2/105*t**7 - 1/30*t**6 + 4/5*t**5 - 2/3*t**4 + 0 - 32/3*t**3. Factor k(q).
-4*(q - 2)**2*(q + 1)*(q + 4)
Let k(n) be the third derivative of -3/448*n**8 + 13/160*n**6 + 0*n**3 - 3/16*n**4 + 0 + n + 2*n**2 + 1/56*n**7 - 1/80*n**5. Solve k(s) = 0.
-1, 0, 2/3, 3
Let z be 21 - 1 - 3*12/(-9). Factor -z*r + 99*r + 40*r + 5*r**2.
5*r*(r + 23)
Let p = -1 + 6. Suppose p*y**3 + 14*y - 15*y - 10 - 14*y = 0. What is y?
-1, 2
Let h(i) be the first derivative of -2*i**5/5 - 50*i**4 - 1732*i**3 - 4900*i**2 - 4802*i - 739. Factor h(c).
-2*(c + 1)**2*(c + 49)**2
Suppose 48 = 3*q - 4*q. Let c = 50 + q. Factor -26*s + 17*s**2 - 58 + 227 - 16*s**c.
(s - 13)**2
Let q(m) = 97*m**3 - 289*m**2 - m - 12. Let l be q(3). Factor -44/3*v + 4/3*v**l + 32/3*v**2 - 24.
4*(v - 2)*(v + 1)*(v + 9)/3
Let p = -38/13 - -461/91. Suppose 143*g - 34 = -71*g + 608. What is w in -9/7*w + 3/7*w**4 - p*w**2 + 12/7 + 9/7*w**g = 0?
-4, -1, 1
Factor -120 + 150*g + 24*g**3 + 34*g + 3017082*g**4 - 102*g**2 - 3017084*g**4.
-2*(g - 5)*(g - 3)*(g - 2)**2
Let k be -729*(-4)/2 - (-27 - -23). Find x such that -10*x**4 + 14*x**4 + k + 7*x**5 + 19*x**4 - 88*x**2 - 80*x - 8*x**3 - 1478 = 0.
-2, -1, -2/7, 2
Let u(v) be the first derivative of 1/30*v**6 - 1/12*v**4 + 5 + 0*v**2 - 1/10*v**5 + 11*v + 1/3*v**3. Let f(o) be the first derivative of u(o). Factor f(a).
a*(a - 2)*(a - 1)*(a + 1)
Let i(h) be the second derivative of -3*h**5/100 - 37*h**4/20 - 44*h**3 - 510*h**2 + 480*h. Factor i(p).
-3*(p + 10)**2*(p + 17)/5
Let q = -503022 - -503024. Determine k so that -9/2*k**4 + 1/2*k**5 - 16*k + 0*k**q + 11*k**3 + 0 = 0.
-1, 0, 2, 4
Let w(v) be the second derivative of -2/45*v**5 + 32*v - 1/180*v**6 - 3/2*v**2 + 0*v**4 + 0*v**3 + 0. Let f(l) be the first derivative of w