*2. Determine v so that h(v) = 0.
-1, 129
Let m(h) be the third derivative of -h**6/40 + 2*h**5/5 + h**4/2 - 16*h**3 + 587*h**2 - h. Suppose m(t) = 0. Calculate t.
-2, 2, 8
Let t(a) be the second derivative of a**4/28 - 1223*a**3/14 - 1836*a**2/7 + 3*a - 435. Suppose t(h) = 0. Calculate h.
-1, 1224
Let d(k) be the first derivative of 11/7*k**2 + 17 - 1/7*k**4 + 0*k - 2*k**3. Factor d(m).
-2*m*(m + 11)*(2*m - 1)/7
Let n = 748353 + -748351. Let 6/7 + 26/7*l + 6/7*l**3 + 26/7*l**n = 0. Calculate l.
-3, -1, -1/3
Suppose 9*v - 3*v + 42 = 0. Let b be 105/(-6)*3/v. Solve -b + 6*q + 3/2*q**2 = 0.
-5, 1
Let o be (-534)/21 - -21*(-124)/(-93). Suppose 3/7*z**3 - 3/7*z**2 + 0 - o*z = 0. Calculate z.
-2, 0, 3
Let i = 1938 - 1151. Let m = 3953/5 - i. Factor 3/5*u**2 + 3 - m*u.
3*(u - 5)*(u - 1)/5
Suppose 3*b + 3*q = 12, 0 = 5*b - 0*q + q - 16. Suppose -3*u = -5*j - 2, 2*u = -b*j - j + 16. Factor -7*g**j - 2*g - g**2 + 4*g**4 - 2*g + 4*g**2 + 4*g**3.
4*g*(g - 1)*(g + 1)**2
Let f(x) = -x**3 - 11*x**2 + 12*x + 6. Suppose -9 = -3*d, -t - 4*d + 72 = -6*t. Let p be f(t). Factor p*r + 4 + 1/2*r**3 + 3*r**2.
(r + 2)**3/2
Let i(t) be the second derivative of 3*t**7/98 - 23*t**6/30 + 963*t**5/140 - 2159*t**4/84 + 36*t**3 + 14*t**2 - 1527*t. Determine q, given that i(q) = 0.
-1/9, 2, 7
Let u(f) be the third derivative of f**7/420 - 191*f**6/240 + 751*f**5/120 - 187*f**4/16 + f**2 - 23*f - 64. What is z in u(z) = 0?
0, 1, 3, 187
Let k(n) = -17*n - 13. Let s be k(4). Let w = -77 - s. What is j in -44*j**5 + 2*j**4 + 15 - 7*j**w - 55*j - 30*j**3 + 49*j**5 + 70*j**2 = 0?
-3, 1
Let f(t) = t**3 - 25*t**2 + 20*t + 98. Let y be f(24). Factor -8*c**2 + 30*c**2 - 312*c - 7*c**y + 6084 - 11*c**2.
4*(c - 39)**2
Let o(x) = 2*x**2 + 21*x + 29. Suppose 112 = -12*b + 26*b. Let t(m) = 3*m**2 + 31*m + 44. Let g(q) = b*o(q) - 5*t(q). Let g(w) = 0. Calculate w.
-12, -1
Let r(k) be the third derivative of 2/35*k**7 + 0 - 231/8*k**4 - 39*k**2 + 127/20*k**5 + 0*k + 49/2*k**3 + 51/40*k**6. Factor r(b).
3*(b - 1)*(b + 7)**2*(4*b - 1)
Let i(y) be the second derivative of 0*y**2 - 6/5*y**4 + 0*y**3 - 12/25*y**5 + 0 + 11/75*y**6 - 1/105*y**7 - 25*y. Determine v, given that i(v) = 0.
-1, 0, 6
Let r(l) be the first derivative of 2*l**3/3 - 178*l**2 - 981. Factor r(j).
2*j*(j - 178)
Let y be ((-4664)/(-736) - 7)*2. Let l = y + 3/2. Solve 6/23*o - 2/23*o**4 - 2/23*o**2 - 6/23*o**3 + l = 0.
-2, -1, 1
Let d be (-562)/2810 + 3/1 + (-207)/(-35) + 1. Factor -d - 30/7*v + 2/7*v**2.
2*(v - 17)*(v + 2)/7
Let z be (8/(-12))/(2037/9 - 0). Let f = 2047/3395 + z. Factor -f*b**3 + 6/5*b**2 + 0 + 0*b.
-3*b**2*(b - 2)/5
Let p(n) be the third derivative of n**5/450 + 5*n**4/3 + 99*n**3/5 + 2683*n**2. Find w such that p(w) = 0.
-297, -3
Let n(r) be the first derivative of r**5 + 3*r**4/4 - 3*r**3 - 2*r**2 + 15*r + 83. Let d(l) = 2*l**4 - l**3 + 1. Let g(z) = 6*d(z) - 2*n(z). Factor g(m).
2*(m - 3)*(m - 2)**2*(m + 1)
Let b be (54/(-525) + 502/(-8785))/(2/(-5)). What is n in 40 + 8*n + b*n**2 = 0?
-10
Suppose -37 = -n + 4*n - 2*h, -11 = -n - 4*h. Let x be n/(-81) + 10/18. Let -1/3*u - x*u**3 + 0 + u**2 = 0. What is u?
0, 1/2, 1
Let u = 577/7 - 2864/35. Let g(c) be the second derivative of -u*c**2 + 2/15*c**3 + 0 - 12*c + 1/30*c**4. Factor g(r).
2*(r - 1)*(r + 3)/5
Let k = -724046 - -3620232/5. Factor -2/5*p - 2/5*p**2 + 2/5 + k*p**3.
2*(p - 1)**2*(p + 1)/5
Let v(j) be the first derivative of -5*j**6/12 + 5*j**5 - 45*j**4/8 - 90*j**3 + 135*j**2 - 1075. Determine x so that v(x) = 0.
-3, 0, 1, 6
Let d(m) be the first derivative of m**6/12 - 23*m**5/10 + 43*m**4/8 - 7*m**3/2 - 2300. Let d(y) = 0. Calculate y.
0, 1, 21
Let r = 60/45473 + 4410581/227365. Factor -r*o + o**2 + 38/5.
(o - 19)*(5*o - 2)/5
Let c(i) = -i**3 - 22*i**2 + 23*i + 3. Suppose -2*l - 17 = 29. Let h be c(l). Factor o - o**h + 1/2 - 1/2*o**4 + 0*o**2.
-(o - 1)*(o + 1)**3/2
Suppose -317*i + 55 - 70*i**2 + 1522*i - 310 = 0. What is i?
3/14, 17
Let 562/3*k - 62*k**2 - 4 = 0. Calculate k.
2/93, 3
Let l(p) be the third derivative of -p**6/30 + 61*p**5/15 - 535*p**4/6 + 850*p**3 + 67*p**2 + 12*p. Solve l(c) = 0.
5, 51
Let 5*l**4 - 249*l**2 - 239*l**2 + 415*l + 65*l**3 + 753*l**2 + 210 = 0. Calculate l.
-7, -3, -2, -1
Let x = 76 - 57. Suppose x*p = 5*p. Factor 2/9*u**5 + 0*u + 0*u**3 + p + 2/9*u**4 + 0*u**2.
2*u**4*(u + 1)/9
Let y(l) be the second derivative of l**4/66 + 1486*l**3/33 + 552049*l**2/11 - 978*l. Suppose y(g) = 0. What is g?
-743
Suppose 3*n = 941 - 953. Let h be n/(-22) + (-480)/(-264). Find m such that -4*m**3 + h + 4*m + 5/2*m**4 - 9/2*m**2 = 0.
-1, -2/5, 1, 2
Let m(a) be the first derivative of -5*a**4/12 + 110*a**3/3 - 215*a**2/2 + 105*a - 172. Let r(v) be the first derivative of m(v). Find n such that r(n) = 0.
1, 43
Let v(j) = -217*j + 78568. Let s be v(204). Factor -84*q**2 - s + 4/5*q**3 + 2940*q.
4*(q - 35)**3/5
Let h be 8/(-28) - (-4620)/14112. Let u(d) be the second derivative of h*d**4 + 0 + 3/2*d**2 - 9*d + 5/12*d**3. Factor u(k).
(k + 2)*(k + 3)/2
Let k(y) be the second derivative of 5/78*y**4 + 1/39*y**3 + 0*y**2 + 3/130*y**5 - 3/65*y**6 - 1 + 138*y. Factor k(g).
-2*g*(g - 1)*(3*g + 1)**2/13
Let z be 51/4 - 55/(-220). Let g(s) be the first derivative of -2/27*s**3 - z + 1/18*s**4 + 0*s - 2/9*s**2. Let g(p) = 0. Calculate p.
-1, 0, 2
Let a = -1072 + 1718. Let j = a - 2583/4. Factor n - 3/4 - j*n**2.
-(n - 3)*(n - 1)/4
Let m be (-8 - 650/(-15)) + 1/(-3). Let y be 288/m - 68/(-119). Factor -28/5*u**3 - 8/5 - 64/5*u**2 - y*u.
-4*(u + 1)**2*(7*u + 2)/5
Let j(u) be the first derivative of u**3/8 + 369*u**2/4 + 45387*u/2 - 255. Factor j(s).
3*(s + 246)**2/8
Let a = 27/55 + -15/44. Let l(q) be the first derivative of 2/5*q + a*q**2 - 13 - 1/30*q**3. Factor l(c).
-(c - 4)*(c + 1)/10
Let f(m) = -m**2 - 3*m + 1. Let c(v) = 3*v**3 - 66*v**2 - 309*v + 318. Let t(y) = c(y) - 18*f(y). Solve t(a) = 0 for a.
-5, 1, 20
Suppose 3*s = 17 - 59. Let d(i) = 4*i**3 - 40*i**2 + 43*i - 7. Let r(h) = h**3 - 13*h**2 + 14*h - 2. Let n(f) = s*r(f) + 4*d(f). Factor n(q).
2*q*(q - 1)*(q + 12)
Let l(w) = 15*w**3 - 42*w**2 - 4*w + 11. Let f be l(9). Suppose -24*a**2 - 6*a - f*a**4 + 24*a - 18*a**3 + 27 + 7505*a**4 = 0. What is a?
-3, -1, 1
Let l = -615/2759 - -128460/19313. Let -l*o**4 - 111/7*o**2 + 0 - 18/7*o + 174/7*o**3 = 0. What is o?
-2/15, 0, 1, 3
Let s be -16*(-16)/3456 + 10/(-135)*-53. Factor 0 + 6*b**3 + 0*b - 9/2*b**2 - 3/2*b**s.
-3*b**2*(b - 3)*(b - 1)/2
Let y(d) = -40*d**2 - 5*d + 10. Let r be (-24)/9*(21/(-2))/7. Let f(a) = 39*a**2 + 6*a - 8. Let h(l) = r*y(l) + 5*f(l). Factor h(p).
5*p*(7*p + 2)
Let m(l) be the third derivative of l**6/180 + 16*l**5/45 + 161*l**4/36 + 130*l**3/9 + 907*l**2 - 2*l. Find k such that m(k) = 0.
-26, -5, -1
Let a(g) be the first derivative of -g**4/2 - 46*g**3 + g**2 + 138*g - 686. Factor a(w).
-2*(w - 1)*(w + 1)*(w + 69)
Let k = -60 - -71. Solve -k + 2*z**2 + 2 + 9 + 40*z = 0 for z.
-20, 0
Let l(b) be the first derivative of b**6/6 + 2*b**5/5 - 3*b**4 - 14*b**3/3 + 11*b**2/2 + 12*b + 984. Suppose l(o) = 0. Calculate o.
-4, -1, 1, 3
Suppose 2*q + 0*h + 3 = h, 5*q - 3*h = -9. Suppose q = 2*i - i - 12. Solve 15*m**5 + 16*m**2 - 16*m**4 + 16*m - 7*m**5 - i*m**5 - 12*m**3 = 0 for m.
-2, -1, 0, 1
Let q = 44 + -47. Let o be 2/q*(-2 + 4/(-4)). Find w such that -8/7*w**o + 2/7*w**3 - 4/7 + 10/7*w = 0.
1, 2
Suppose -3*q = 5*m - 8*q - 35, -4*q - 1 = 5*m. Suppose 62 - 8 = m*d. Factor -d*i**2 + 1065*i**3 + 22*i + 11*i - 1062*i**3 - 18.
3*(i - 3)*(i - 2)*(i - 1)
Let g(p) be the third derivative of 7*p**6/540 - 307*p**5/270 + 836*p**4/27 + 484*p**3/27 - 3*p**2 - 219*p. Let g(z) = 0. Calculate z.
-1/7, 22
Let l = -1469 + 1467. Let h be (-7656)/(-10164) + l/11. Factor 2/7*j**3 + 0 + h*j**2 - 8/7*j - 1/7*j**4.
-j*(j - 2)**2*(j + 2)/7
Let b(q) be the first derivative of -q**6/24 - 13*q**5/20 - 17*q**4/8 + 31*q**3/6 + 35*q**2/8 - 49*q/4 + 1458. Let b(k) = 0. Calculate k.
-7, -1, 1
Suppose 0 = 17*r + 17*r + 68. Let y be r*(1/6 - 304/672). Factor 2/7*l**2 + y*l + 0.
2*l*(l + 2)/7
Let z = -132 + 157. Solve -2291*s**2 + 2416*s**2 - 75*s**3 + 5*s**4 + z*s**3 = 0 for s.
0, 5
Factor -24*k**3 + 65*k + 99*k**3 - 169*k - 56*k**3 - 21*k**3 + 56*k**2.
-2*k*(k - 26)*(k - 2)
Suppose 6*v + 32455 = 32473. Let q(n) be the third derivative of -14/39*n**4 +