 - 6. Let w be s(-3). Suppose -4*z = -w - 8. Solve 2*l + 4*l - 3*l**4 - 26*l**3 - 36*l**3 + 53*l**3 + 3*l**z + 3*l**5 = 0 for l.
-1, 0, 1, 2
Let y(c) be the second derivative of c**5/90 + 22*c**4/27 - 92*c**3/27 - 127*c + 10. Suppose y(f) = 0. What is f?
-46, 0, 2
Suppose 3 = -q + 2. Suppose 27 = 17*k - 58. Let j(a) = -10*a**2 + 25*a + 40. Let x(l) = -l**2 - l + 1. Let b(f) = k*x(f) + q*j(f). Factor b(i).
5*(i - 7)*(i + 1)
Let j be ((-8)/(-5))/((-64)/(-10)). Factor -1/4*i**2 + 1/4*i + 1/4 - j*i**3.
-(i - 1)*(i + 1)**2/4
Let v(g) = 2*g**3 - 1020*g**2 + 3060*g - 2026. Let k(q) = q**3 - 1018*q**2 + 3068*q - 2027. Let s(o) = 2*k(o) - 3*v(o). Factor s(d).
-4*(d - 253)*(d - 2)*(d - 1)
Let m(a) be the first derivative of -2*a**3/19 + 104*a**2/19 - 736*a/19 - 6750. Let m(k) = 0. Calculate k.
4, 92/3
Let m(g) be the second derivative of -3*g**5/20 + 13*g**4 - 280*g**3 - 4704*g**2 - 307*g. What is u in m(u) = 0?
-4, 28
Let j(i) be the third derivative of -i**7/42 - 73*i**6/60 - 67*i**5/4 + 75*i**4/2 + 1223*i**2 - i + 1. Factor j(t).
-t*(t + 15)**2*(5*t - 4)
Let y = -68253/10 - -13651/2. Factor 2/5*r**2 + 1/10*r + 0 + y*r**4 + 1/2*r**3.
r*(r + 1)**2*(2*r + 1)/10
Let p(d) be the second derivative of -2*d**6/15 + d**4 + 4*d**3/3 - 732*d - 1. Factor p(k).
-4*k*(k - 2)*(k + 1)**2
Let x(g) = 3*g**3 + 10. Let z(v) = -v + 8. Let a be z(-8). Let u(j) = 10*j**3 + 32. Let c(b) = a*x(b) - 5*u(b). What is l in c(l) = 0?
0
Let x = -28/58591 + 644613/234364. Factor -1/4*j**2 + 13/2 - x*j.
-(j - 2)*(j + 13)/4
Determine n so that 168 - 178/11*n + 2/11*n**2 = 0.
12, 77
Let v = 443 + -195. What is p in -25 + 48 + 5*p**4 + 122*p**3 + 41 - v*p + 48*p**2 + 9*p**4 = 0?
-8, -2, 2/7, 1
Let o(s) = s**2 + 16*s + 6. Let l be o(-16). Factor 7*a + 7*a**2 + l*a**2 + 18*a + 16 - a**2 + 2*a**3 - a.
2*(a + 2)**3
Let c(k) be the second derivative of -k**7/126 + 2*k**6/5 - 26*k**5/5 - 104*k**4/9 + 184*k**3 + 864*k**2 - 1087*k. What is h in c(h) = 0?
-2, 4, 18
Solve -17400 - 151*f**2 - 233*f + 42*f**2 + 3*f**3 + 4013*f - 125*f**2 = 0 for f.
10, 58
Let j(s) = 7*s**2 - 8*s - 3. Let r = 174 - 177. Let a(p) = -16*p**2 + 17*p + 7. Let o(g) = r*a(g) - 7*j(g). Suppose o(q) = 0. What is q?
0, 5
Let n(b) be the first derivative of b**6/60 + 7*b**5/10 + 5*b**4/3 + 71*b**2 - 177. Let c(y) be the second derivative of n(y). Factor c(t).
2*t*(t + 1)*(t + 20)
Let r(j) = 3*j**4 + 12*j**3 + 107*j**2 - 5*j - 137. Let t(o) = -o**4 - 5*o**3 - 36*o**2 + 2*o + 46. Let u(q) = 6*r(q) + 17*t(q). Factor u(s).
(s - 10)*(s - 2)**2*(s + 1)
Solve -1729*u**3 + 4105*u**2 - 1726*u**3 + 3410*u**3 - 910*u = 0.
0, 2/9, 91
Let c(s) be the second derivative of s**4/30 + 14*s**3/15 + 9*s**2 + 1747*s. Factor c(y).
2*(y + 5)*(y + 9)/5
Suppose 0 = 2*j + 4*h - 24, 12 = j + 5*h - 12. Determine v so that -7*v - 1/3*v**3 + 10/3 + j*v**2 = 0.
1, 10
Let t(c) be the third derivative of 1/120*c**6 + 1/72*c**5 + 2 + 0*c**3 + 0*c**4 + 1/1260*c**7 + 0*c + 26*c**2. Solve t(d) = 0.
-5, -1, 0
Let a(z) be the first derivative of -24*z + 2/3*z**3 + 45 - 52/3*z**2. Let a(q) = 0. What is q?
-2/3, 18
Factor 28 + 28 + 24*f**3 - 9*f**3 - 96*f - 33 + 37 - 141*f**2.
3*(f - 10)*(f + 1)*(5*f - 2)
Let x(n) be the third derivative of n**6/540 - 47*n**5/270 - 433*n**4/108 - 385*n**3/27 + 2301*n**2 + 2*n. Factor x(y).
2*(y - 55)*(y + 1)*(y + 7)/9
Let w(f) be the second derivative of -1/25*f**5 - f - 28/15*f**3 + 27 + 7/15*f**4 + 16/5*f**2. Determine a so that w(a) = 0.
1, 2, 4
Let g be 336/(-400)*(-4500)/350. Let -4/5*o**3 + 0 - 26/5*o - g*o**2 = 0. Calculate o.
-13, -1/2, 0
Factor 202/15*r + 2/15*r**2 - 68/5.
2*(r - 1)*(r + 102)/15
Suppose 50*g = 144 + 6. Suppose -10*h - c = -13*h - g, 0 = -4*c + 12. Suppose -2/3*m**2 + 8/3*m**3 + h + 2/3*m**4 - 8/3*m**5 + 0*m = 0. What is m?
-1, 0, 1/4, 1
Let f(y) be the first derivative of 7*y**5/20 - 5*y**4/12 - y**3/3 + 13*y + 53. Let q(s) be the first derivative of f(s). Let q(o) = 0. Calculate o.
-2/7, 0, 1
Let k = 14319/201250 - -4/14375. Let t(n) be the first derivative of -1/21*n**3 + 0*n**2 + k*n**4 + 0*n + 46 - 1/35*n**5. Solve t(a) = 0.
0, 1
Let k = -317 + 326. Let u(s) = -2*s**4 + 6*s**3 - 3*s**2 - 11*s + 5. Let z(o) = 3*o**4 - 12*o**3 + 6*o**2 + 21*o - 9. Let w(p) = k*u(p) + 5*z(p). Factor w(f).
-3*f*(f - 1)*(f + 1)*(f + 2)
Let x be (2/1)/((-4400)/60980). Let n = x + 306/11. Let -n*i + 0 + 1/10*i**2 = 0. Calculate i.
0, 1
Let b be 10*(-14)/(-35) - 0. Let h(g) be the third derivative of 0 - 13*g**2 + 0*g**b + 0*g**5 - 1/240*g**6 + 0*g**3 + 0*g. What is m in h(m) = 0?
0
Suppose -4*s - 4*n + 36 = -0*n, -3*n = -3*s + 9. Let a(z) be the third derivative of 0*z**5 - 1/60*z**s + 0*z**4 + 0 + 15*z**2 + 0*z**3 + 0*z. Factor a(q).
-2*q**3
Let t(k) be the first derivative of 0*k + 2/3*k**2 - 5/9*k**3 - 88 + 1/12*k**4. Factor t(v).
v*(v - 4)*(v - 1)/3
Let g(w) be the third derivative of 13*w**2 + 341/24*w**4 + 1/360*w**6 - 2*w - 13/36*w**5 + 0 + 121/2*w**3. Let g(o) = 0. What is o?
-1, 33
Let k = 1990/27 + -2600768/35289. Let v = 39252/9149 - k. Find g such that -27/7*g**4 - v*g**5 - 9/7*g - 6/7 + 39/7*g**3 + 33/7*g**2 = 0.
-1, -2/5, 1/2, 1
Let y be ((-26624)/(-672))/52 + (-15)/35. Find n such that 3*n**2 + 4/3*n**3 + y + 2*n = 0.
-1, -1/4
Let j(b) = 20*b**3 - 3928*b**2 + 8228*b + 12176. Let n(w) = 2*w**3 - 357*w**2 + 748*w + 1107. Let u(c) = -3*j(c) + 32*n(c). Factor u(a).
4*(a - 3)*(a + 1)*(a + 92)
Let w(x) be the second derivative of 0 + 0*x**3 + 1/135*x**6 - 7*x + 1/54*x**5 - 9*x**2 + 1/108*x**4. Let h(n) be the first derivative of w(n). Factor h(t).
2*t*(t + 1)*(4*t + 1)/9
Find m, given that -9*m + m**2 + 566 + 559 - 1161 = 0.
-3, 12
Let h(l) be the second derivative of -1/135*l**6 + 0*l**5 + 1/27*l**4 + 0*l**3 + 0 + 52*l - 1/9*l**2. Find t such that h(t) = 0.
-1, 1
Let s(j) be the first derivative of -j**5/240 - 3*j**4/8 + 41*j**2 - 165. Let q(n) be the second derivative of s(n). Factor q(p).
-p*(p + 36)/4
Suppose -554*z + 4811 = 3149. Find n, given that 72/11 + 2/11*n**4 - 2*n**2 - 4/11*n**z + 24/11*n = 0.
-2, 3
Let s(v) be the first derivative of 0*v - 21/2*v**3 + 3*v**4 + 27/2*v**2 - 49 - 3/10*v**5. Factor s(r).
-3*r*(r - 3)**2*(r - 2)/2
Let l(p) be the first derivative of -2*p**3/5 - 138*p**2/5 - 432*p + 1458. Suppose l(o) = 0. What is o?
-36, -10
Let v = -3919/610 + 857/122. Solve -v*h**2 - 48/5 + 24/5*h = 0.
4
Suppose -11*m - 3566 = 3155. Let k = m + 614. Factor 0 - 1/4*l**4 - 1/2*l + 0*l**k + 3/4*l**2.
-l*(l - 1)**2*(l + 2)/4
Let s = -3/5870 + 11749/17610. Factor -2/3*q + s*q**2 + 4/3*q**3 + 0.
2*q*(q + 1)*(2*q - 1)/3
Let a(l) be the first derivative of 4*l**3/21 - 8*l**2 + 384*l/7 + 3660. Determine d, given that a(d) = 0.
4, 24
Suppose -22*j = 6*j - 50*j. Let m(u) be the third derivative of -u**2 - 1/30*u**5 - 1/180*u**6 + 0*u**3 + j + 0*u**4 + 0*u. Determine n, given that m(n) = 0.
-3, 0
Let u(w) be the first derivative of 25*w**6/9 + 44*w**5/3 + 83*w**4/3 + 208*w**3/9 + 25*w**2/3 + 4*w/3 + 126. Determine z so that u(z) = 0.
-2, -1, -1/5
Let d = 1663/222 - 160/37. Let y(f) be the second derivative of 2/3*f**4 + 1/4*f**5 - d*f**3 + 4*f + 0 + 3*f**2. Factor y(u).
(u - 1)*(u + 3)*(5*u - 2)
Let x = -478 + 578. Factor 93 - 193 + x - 4*z**2 - 52*z.
-4*z*(z + 13)
Let t be 3 + 4 + -20*3/(-12). Factor 17253 + 40*p**2 - 4*p**3 - t*p - 16*p**2 - 17293.
-4*(p - 5)*(p - 2)*(p + 1)
Let l(j) = 3*j**3 - j**2 + 2*j. Let i(c) = 21*c**3 + 109*c**2 + 136*c. Let q(a) = -i(a) + 8*l(a). Suppose q(f) = 0. Calculate f.
-1, 0, 40
Let f(g) be the third derivative of -g**6/720 - g**5/6 - 25*g**4/3 + 15*g**3 + 8*g**2 - 12. Let a(o) be the first derivative of f(o). Factor a(b).
-(b + 20)**2/2
Let d(c) = 5*c**3 + 10*c**2 - 18*c - 42. Let p be -4*((-2)/(-2))/(3 - 5). Let u(x) = -x + 1. Let r(n) = p*u(n) + d(n). Let r(j) = 0. What is j?
-2, 2
Let v(t) be the second derivative of 2*t**6/15 - t**5 - 7*t**4/3 + 82*t**3/3 - 60*t**2 - 157*t - 2. Suppose v(s) = 0. Calculate s.
-3, 1, 2, 5
Let u = 1589 + -1592. Let c be u*(2*27/8 - 7). Factor -3/2*p - 3/4 - c*p**2.
-3*(p + 1)**2/4
Let s(c) be the third derivative of c**8/112 - 83*c**7/70 + 1591*c**6/40 + 5547*c**5/20 + c**2 + 1065*c. Factor s(f).
3*f**2*(f - 43)**2*(f + 3)
Let p(j) be the third derivative of j**6/15 + 19*j**5/10 - 23*j**4/6 - 5*j**3 - j**2 - 1708*j. Find z, given that p(z) = 