 + 62. Let m(g) = 5 + 17*g**2 + 8 - 5 - 25*g**2. Let k(b) = -5*l(b) - 6*m(b). Factor k(r).
3*(r - 1)*(r + 1)
Let r(k) be the first derivative of -30*k - 18 - k**3 - 33/2*k**2. Solve r(f) = 0.
-10, -1
Let u(j) be the third derivative of j**7/65 - 311*j**6/780 + 1259*j**5/390 - 721*j**4/156 - 392*j**3/39 - 1485*j**2 - 1. Let u(n) = 0. What is n?
-1/3, 8/7, 7
Let z(c) = 23*c**2 - 11*c + 55*c + 17*c. Let u(k) = 55*k**2 - 23*k**2 + 40*k - 17*k**2. Let v(d) = 8*u(d) - 5*z(d). Suppose v(i) = 0. Calculate i.
-3, 0
Let q(b) be the third derivative of -3*b**6/40 - b**5/2 + 29*b**4/8 - 8*b**3 - 700*b**2. Factor q(w).
-3*(w - 1)**2*(3*w + 16)
Let f be 2/6*(124/(-62))/(16/(-6)). Let r(j) be the second derivative of 24*j**2 - 4*j**3 + f*j**4 - 10*j + 0. Factor r(c).
3*(c - 4)**2
Let i = -5950 - -4492246/755. Let x = 7244/755 - i. Let 26/5*c + 4/5 + 34/5*c**3 + 8/5*c**4 + x*c**2 = 0. Calculate c.
-2, -1, -1/4
Let z(r) be the first derivative of -r**4/10 - 4*r**3/5 + 19*r**2/5 + 168*r/5 - 12653. What is a in z(a) = 0?
-7, -3, 4
Let d(t) be the first derivative of -2*t**2 - 1/9*t**3 + 19 - 12*t. Factor d(k).
-(k + 6)**2/3
Let t(q) be the first derivative of 3*q**5/25 - 21*q**4/20 - 4*q**3/5 + 168*q**2/5 - 576*q/5 - 2281. Factor t(k).
3*(k - 4)**2*(k - 3)*(k + 4)/5
Let n(u) be the second derivative of u**5/10 + 22*u**4/3 - 91*u**3/3 + 46*u**2 + 3439*u. Determine f, given that n(f) = 0.
-46, 1
Let j be 69/9 - -1*(-56)/(-24). Suppose 0 = 3*w + 5*b - 15, -7*w - 15 = -j*w + 4*b. Factor -1/6*n - 1/3*n**2 + 1/6*n**w + 0*n**3 + 0 + 1/3*n**4.
n*(n - 1)*(n + 1)**3/6
Let c(h) be the first derivative of -h**4/5 + 236*h**3 - 1768*h**2/5 - 4512. Factor c(y).
-4*y*(y - 884)*(y - 1)/5
Suppose -263*m - 215 = -1004. Let d(g) be the second derivative of 11*g + 0 - 7/2*g**m + 0*g**2 - 3/2*g**4 + 3/20*g**5. Factor d(c).
3*c*(c - 7)*(c + 1)
Let l be (4/(-16))/((-1)/16). Factor 8*i**3 - 8*i**3 - 276*i - l*i**3 - 44*i + 256 + 68*i**2.
-4*(i - 8)**2*(i - 1)
Let j(q) be the third derivative of q**5/90 - 10*q**4/9 + 128*q**3/3 + 188*q**2 - q - 3. Factor j(i).
2*(i - 24)*(i - 16)/3
Let t(c) be the third derivative of c**6/480 - 11*c**5/15 + 349*c**4/96 - 29*c**3/4 - 6508*c**2. Factor t(n).
(n - 174)*(n - 1)**2/4
Suppose -988 = -6*b - 64. Factor 21*t**2 + b - 30*t - 3*t**3 - 154.
-3*t*(t - 5)*(t - 2)
Let l(g) = -33*g**2 - 9467*g + 9450. Let h(r) = 212*r**2 + 61536*r - 61428. Let f(x) = 5*h(x) + 32*l(x). Factor f(u).
4*(u - 1)*(u + 1185)
Let v(p) = -141*p - 27495. Let m be v(-195). Let m + 1/3*d**3 - 4/3*d + 0*d**2 = 0. Calculate d.
-2, 0, 2
Let 4374/5 - 3/5*z**2 + 4371/5*z = 0. Calculate z.
-1, 1458
Factor -2/5*r**4 + 0 - 356/5*r**3 + 0*r**2 + 0*r.
-2*r**3*(r + 178)/5
Let g(q) be the third derivative of 3*q**8/14 + 1396*q**7/105 + 799*q**6/20 + 536*q**5/15 - 13*q**4/4 - 74*q**3/3 + 14*q**2 + 49. Solve g(p) = 0 for p.
-37, -1, -1/2, 2/9
Let i = -125 + 15. Let f = 769 + i. Find k, given that 5*k - f*k**2 + k - 90 - 5*k**3 + 9*k + 679*k**2 = 0.
-2, 3
What is d in -206*d**2 - 1446/7*d + 1446/7*d**3 - 2/7*d**4 + 1444/7 = 0?
-1, 1, 722
Let a be 7 - 21/(63/15). Let q(o) be the first derivative of 5/3*o - 3/2*o**a + 1/12*o**4 + 1/3*o**3 + 12. Factor q(d).
(d - 1)**2*(d + 5)/3
Suppose 2*f - l = -5, 163*f - 8 = 168*f - 2*l. Solve 4/3*u - 2/9*u**f + 14/9 = 0 for u.
-1, 7
Let n(x) be the second derivative of -x**6/165 - 3*x**5/110 + 277*x**4/66 - 447*x**3/11 - 1620*x**2/11 + 5338*x. Solve n(d) = 0.
-20, -1, 9
Let s(a) be the first derivative of a**6/36 - 4*a**5/15 + 17*a**4/24 - 5*a**3/9 - 1398. Suppose s(o) = 0. What is o?
0, 1, 2, 5
Let o(q) be the first derivative of 35*q**3/12 - 835*q**2/2 - 3375*q/4 + 8509. Solve o(j) = 0 for j.
-1, 675/7
Let c(v) be the first derivative of 98/15*v**6 + 568/5*v**3 - 50 - 37*v**4 + 96/5*v - 504/25*v**5 - 376/5*v**2. What is m in c(m) = 0?
-2, 2/7, 1, 3
Let o(w) be the second derivative of w**5/100 - 3*w**4/10 + 3*w**3/2 + 1043*w. Factor o(j).
j*(j - 15)*(j - 3)/5
Let c(t) = -t**2 + t - 1. Let x(b) be the first derivative of -3*b**3 - 8*b**2 + 17*b - 156. Let w(v) = -40*c(v) + 5*x(v). Factor w(i).
-5*(i - 1)*(i + 25)
Suppose -32/7 + 2/21*k**2 - 26/21*k = 0. What is k?
-3, 16
Suppose v - 315 = -4*g, -2*g = -v + 23 - 188. Let g - 12*i**2 - 3*i + 17*i**2 - 37*i = 0. What is i?
4
Let s be (-672)/(-160) - 8/(-10). Find a, given that -131*a**4 + 2*a**s - 96*a + 16*a**3 - 45 + 32*a**2 + 109 + 119*a**4 = 0.
-2, 2
Let f(k) = -28*k**3 + 15*k**2 + 246*k + 9. Let m(q) = -37*q**3 + 14*q**2 + 247*q + 12. Let b(h) = 4*f(h) - 3*m(h). Find p such that b(p) = 0.
-9, 0, 27
Suppose 12*g - 38 - 34 = 0. Let d be -11 + 6 + -1 + 78/10. Let -g*t**3 + 9/5 + d*t**4 - 33/5*t + 46/5*t**2 - 1/5*t**5 = 0. Calculate t.
1, 3
Let z(y) be the third derivative of 1/42*y**6 + 2/21*y**4 - 67*y**2 + 2 + 0*y**3 + 0*y + 8/105*y**5 + 2/735*y**7. Factor z(h).
4*h*(h + 1)*(h + 2)**2/7
Let k(y) be the first derivative of -1/17*y**3 - 1/510*y**5 - 15 - 12*y**2 + 0*y + 1/51*y**4. Let l(j) be the second derivative of k(j). Factor l(n).
-2*(n - 3)*(n - 1)/17
Suppose -462 = -169*m - 136*m + 74*m. Factor -4/11*y + 2/11*y**m + 0.
2*y*(y - 2)/11
Let l(j) be the third derivative of j**8/6720 - j**7/630 - j**6/144 - 29*j**4/24 + 3*j**2 + 2. Let m(q) be the second derivative of l(q). Factor m(r).
r*(r - 5)*(r + 1)
Suppose c - m = 2, c + 3*m = -3 + 17. Determine l, given that -67*l**2 - 2*l**c + 0*l**4 + l**5 + 7*l**3 - 2*l**4 + 63*l**2 = 0.
-4, 0, 1
Let r(f) = f**2 - f - 270. Let i be r(-16). Let c be (((-12)/33)/i)/((-54)/396). What is m in 0 + 4/3*m**4 + 0*m + 0*m**2 + 8/3*m**3 - c*m**5 = 0?
-1, 0, 2
Suppose 55 = 23*u - 144*u + 297. Find h such that -2/9*h**3 + 0 + 0*h - u*h**2 = 0.
-9, 0
Let v(q) = 3*q**2 - 85*q + 184. Let t be v(26). Let z(o) be the second derivative of o**4 - 1/5*o**5 + 0 - 6*o**t + 21*o + 2/3*o**3. Factor z(h).
-4*(h - 3)*(h - 1)*(h + 1)
Let v(l) be the third derivative of 0*l + 1 + 1/420*l**7 + l**4 + 0*l**3 + 1/30*l**6 - 11/30*l**5 - 20*l**2. Factor v(y).
y*(y - 2)**2*(y + 12)/2
Solve -137*w**2 - 3353*w**4 + 1687*w**4 + 10*w + 1695*w**4 - 118*w**3 = 0.
-1, 0, 2/29, 5
Let a(p) be the third derivative of 6*p**7/35 + 34*p**6 + 1357*p**5/60 + 113*p**4/24 - 2518*p**2. Let a(h) = 0. Calculate h.
-113, -1/6, 0
Factor 0*w**4 - 50*w - 3*w**4 + 25 - 10 - 30*w**3 + 5*w**4 + 3*w**4 + 60*w**2.
5*(w - 3)*(w - 1)**3
Let m = 34656/7 - 277185/56. Factor -1/8*g**2 - m*g + 5/4.
-(g - 1)*(g + 10)/8
Let v(u) = 170*u**2 - 2118*u. Let y(w) = 553*w**2 - 6356*w. Let j(g) = 13*v(g) - 4*y(g). Determine a so that j(a) = 0.
-1055, 0
Let a(r) be the first derivative of -r**4/16 + 119*r**3/4 - 89*r**2/2 + 3196. Let a(h) = 0. Calculate h.
0, 1, 356
Suppose 155*o - 4*k = 151*o - 8, -3*o = k - 2. Factor 0*l + o + 3/5*l**2 + 1/5*l**4 + l**3 - 1/5*l**5.
-l**2*(l - 3)*(l + 1)**2/5
Let o be (-128)/(-182) + (-574)/(-3731). Let v = 282/7 - 40. Factor o*i - 2/7 - 6/7*i**2 + v*i**3.
2*(i - 1)**3/7
Let q(j) be the third derivative of j**6/24 + 343*j**5/12 + 18275*j**4/3 - 73960*j**3/3 - 6*j**2 - 32. Factor q(a).
5*(a - 1)*(a + 172)**2
Let j = 28 - 24. Suppose 5*g = g - 4*q + 20, -5*g - j*q = -28. Find l such that 21*l**3 + 4*l**3 + 12*l - 21*l**4 + 54*l**2 - g - 12*l**3 = 0.
-1, -2/3, 2/7, 2
Let x(r) be the second derivative of 0*r**5 + 219 + 1/75*r**6 - 11/30*r**4 - 8/5*r**2 + r - 6/5*r**3. Find l, given that x(l) = 0.
-2, -1, 4
Suppose -4*x - 5*o + 14 = -13, 5*o + 13 = x. Let c be x/2*((-18)/7)/(-9). Suppose -3/7*f**5 - 6/7*f**3 - c*f**2 + 10/7*f**4 + 9/7*f - 2/7 = 0. What is f?
-1, 1/3, 1, 2
Let n(k) = 3*k**3 - 10*k**2 - 5*k + 25. Let y be n(8). Let d = 891 - y. Factor d*m - 25/2 + 5/2*m**2.
5*(m - 1)*(m + 5)/2
Let z(s) = s**2 - 4*s + 63. Let m be z(10). Factor 127*i**5 - m*i**5 + 60*i**3 - 23*i**2 - 5*i**2 - 36*i**4.
4*i**2*(i - 7)*(i - 1)**2
Let i(o) be the first derivative of 3/4*o**4 - 150 + 6*o**2 - 1/5*o**5 + 16/3*o**3 + 0*o. Factor i(u).
-u*(u - 6)*(u + 1)*(u + 2)
Let i(t) be the third derivative of -t**8/840 + 3*t**7/175 - 2*t**6/25 + 2*t**5/15 - 1095*t**2. Suppose i(z) = 0. What is z?
0, 2, 5
Let v(a) be the third derivative of 3*a - 38*a**2 - 1681/40*a**5 - 1/4*a**3 - 41/8*a**4 + 0. Factor v(d).
-3*(41*d + 1)**2/2
Let n(u) be the second derivative of -11*u**4/30 + 19*u**3/5 - 46*u**2/5 + 1226*u. Solve n(h) = 0.
1, 46/1