vative of -j**4/9 - 628*j**3/3 - 147894*j**2 + 1326*j + 2. Factor a(q).
-4*(q + 471)**2/3
Let l(h) be the second derivative of h**5/130 - 11*h**4/78 - 14*h**3/39 + 24*h**2/13 + 642*h. Determine s, given that l(s) = 0.
-2, 1, 12
Determine h, given that -561/5 + 564/5*h - 3/5*h**2 = 0.
1, 187
Let w(r) = 2*r - 19. Let t be w(15). Factor -31*c**2 + 24 + 26*c + 14*c**2 + t*c**2 + 8*c**2.
2*(c + 1)*(c + 12)
Let s(v) be the first derivative of 864*v + 25 + 1/2*v**3 + 36*v**2. Factor s(a).
3*(a + 24)**2/2
Let s(b) be the third derivative of b**6/240 + 2*b**5/5 + 15*b**4/4 + 44*b**3/3 - 4*b**2 + b - 25. Suppose s(j) = 0. Calculate j.
-44, -2
Determine a so that -703/2*a + 1/4*a**2 + 1405/4 = 0.
1, 1405
Let t(k) = k**3 + k**2 - k + 1. Let d(h) be the first derivative of 9*h**4/4 - 11*h**3/3 + 3*h**2 + 4*h - 82. Let r(i) = -d(i) + 4*t(i). Factor r(n).
-5*n*(n - 2)*(n - 1)
Suppose -2*x**2 - 6513158 + 883956 + 699941 + 9980*x - 7520789 = 0. Calculate x.
2495
Let x = -5192 + 5194. Let q(r) be the third derivative of 1/300*r**6 + 1/20*r**4 - 1/50*r**5 - 9*r**x + 0 - 1/15*r**3 + 0*r. Factor q(z).
2*(z - 1)**3/5
Find k, given that 32 - 4/5*k**3 - 72/5*k - 84/5*k**2 = 0.
-20, -2, 1
Let g be (-584)/(-36) + (-42 - (-364)/13). Suppose 44/9*p**4 + 0*p + 0 - 74/9*p**3 - 2/3*p**5 + g*p**2 = 0. Calculate p.
0, 1/3, 2, 5
Let c(x) be the second derivative of -2*x + 68/3*x**3 + 1156*x**2 + 1/6*x**4 + 28. Factor c(k).
2*(k + 34)**2
Let x(s) be the first derivative of s**6/3 + 72*s**5/5 + 64*s**4 - 32*s**3/3 - 528*s**2 - 1024*s - 2908. Let x(z) = 0. What is z?
-32, -2, 2
Let m(x) be the third derivative of -x**8/336 + x**7/21 - 23*x**6/120 + 7*x**5/30 + 3*x**2 + 57. Factor m(z).
-z**2*(z - 7)*(z - 2)*(z - 1)
Let v(c) be the first derivative of 8 - 1/90*c**4 + 1/1350*c**6 + 0*c**2 + 0*c + 22/3*c**3 + 1/300*c**5. Let b(p) be the third derivative of v(p). Factor b(j).
2*(j + 2)*(2*j - 1)/15
Let i = 86694/5 + -17003. Let a = i + -335. Factor 3/5*f - 1/5*f**2 + a.
-(f - 4)*(f + 1)/5
Let a(y) be the first derivative of -3/2*y**2 + 5/3*y**3 - 23 - 11*y. Let m(w) = -16*w**2 + 10*w + 34. Let l(b) = -10*a(b) - 3*m(b). Find s such that l(s) = 0.
-2, 2
Let f(m) be the first derivative of 4*m**5/25 - 31*m**4/20 + 4*m**3/3 + 7*m**2/10 - 548. Factor f(g).
g*(g - 7)*(g - 1)*(4*g + 1)/5
Suppose -49*f = -13*f - 8 - 100. Let y(u) be the third derivative of 0*u - 34*u**2 + 4/3*u**f - 1/18*u**4 - 1/45*u**5 + 0. Factor y(a).
-4*(a - 2)*(a + 3)/3
Let u be ((-9590)/280 - -35) + (-2)/8*-13. Solve 0 + 11/7*p**5 - 5*p**u - 5/7*p**3 + 5*p**2 - 6/7*p = 0 for p.
-1, 0, 2/11, 1, 3
Let c be -60*4/10*140/(-672). Let m = 13/6 - 35/18. Factor -8/9*i**4 + 4/3*i**3 + m*i**c + 2/9*i + 0 - 8/9*i**2.
2*i*(i - 1)**4/9
Let c be 33/4 + ((-132)/20 - (-84)/(-60)). Solve 1/2*r - 1/4*r**2 - c*r**3 + 0 = 0 for r.
-2, 0, 1
Let s(l) be the third derivative of l**7/2940 - l**6/315 - l**5/420 + l**4/21 + 125*l**3/6 + 4*l**2 - 23. Let y(t) be the first derivative of s(t). Factor y(u).
2*(u - 4)*(u - 1)*(u + 1)/7
Find f, given that 50/9*f + 44 - 4/9*f**2 = 0.
-11/2, 18
Let t(d) = 5*d**2 - 4*d**2 + 46*d + 266 + 474 - 233. Let i(o) = -2. Let w(m) = -22*i(m) + 2*t(m). Factor w(z).
2*(z + 23)**2
Let l = 57260/372021 - 2/28617. Let k(t) be the first derivative of -18/13*t**4 - 39 + 32/13*t**3 - t**2 + l*t. Let k(g) = 0. What is g?
1/6, 1
Determine b so that -6/13*b**3 + 1626/13*b - 2432/13*b**2 + 812/13 = 0.
-406, -1/3, 1
Let -20 + 136*a - 236*a + 75*a - 5*a**2 = 0. What is a?
-4, -1
Let m(u) = 3*u**3 - 13*u**2 - 23*u + 17. Let z(y) = -4*y**3 + 14*y**2 + 25*y - 23. Let g(a) = -5*m(a) - 4*z(a). Solve g(n) = 0.
-7, -1
Factor 2/3*n**2 + 1224 - 1840/3*n.
2*(n - 918)*(n - 2)/3
Let q(p) = -17*p**2 + 66*p - 401. Let w(z) = -13*z**2 + 63*z - 402. Let b(h) = 3*q(h) - 4*w(h). Factor b(k).
(k - 45)*(k - 9)
Let q(m) = 4878*m + 160977. Let l be q(-33). Find o such that 1/2*o**l - 121/2 - 23/2*o**2 + 143/2*o = 0.
1, 11
Let c(b) be the first derivative of 0*b + 10/7*b**3 + 0*b**2 + 1/2*b**4 - 8/35*b**5 - 104. Suppose c(t) = 0. Calculate t.
-5/4, 0, 3
Let i = -1/7395 - -2467/14790. Let j(p) be the first derivative of 22 - i*p**2 + 2/9*p**3 - p. Solve j(s) = 0.
-1, 3/2
Let v(m) be the second derivative of 0 - 5/2*m**2 + 9*m + 5/6*m**3 + 5/48*m**4 - 1/16*m**5. Solve v(j) = 0 for j.
-2, 1, 2
Let c(k) = -11*k + 57. Let w = 146 + -141. Let m be c(w). Let 0 + 1/7*q**m - 3/7*q = 0. Calculate q.
0, 3
Let f(l) be the first derivative of l**5/135 + l**4/27 - 2*l**3/9 - 29*l**2 - 2*l - 44. Let s(h) be the second derivative of f(h). Find g, given that s(g) = 0.
-3, 1
Solve 356*o**2 + 192 - 330*o**2 - 22*o**2 + 192*o + 512 = 0.
-44, -4
Let l(i) be the third derivative of -4/21*i**4 - 1/105*i**5 - 8/7*i**3 + 10*i**2 + 0 + 2*i. Factor l(x).
-4*(x + 2)*(x + 6)/7
Let q(c) be the third derivative of c**6/720 - c**5/40 - 3*c**4/8 + 6*c**3 - 4074*c**2. Let q(z) = 0. Calculate z.
-6, 3, 12
Factor -3/5*k**2 + 1488/5 + 738/5*k.
-3*(k - 248)*(k + 2)/5
Factor 1/6*p**2 - 118*p + 20886.
(p - 354)**2/6
Let f be (-48)/16 - (0 - 1)/1. Let l be (5/f - -2) + 16/8. Factor 24 - 3/4*p**4 + 9*p**2 - 30*p + l*p**3.
-3*(p - 2)**3*(p + 4)/4
Suppose -518*s + 2*s + 1764 = 51*s + 315*s. What is j in -364/3*j**s - 18*j**4 + 236/3*j**3 + 82*j - 62/3 - 2/3*j**5 = 0?
-31, 1
Let 10*b**2 - 24*b - 120 - 2/9*b**4 + 8/9*b**3 = 0. What is b?
-5, -3, 6
Let k(m) = -9*m**3 + 479*m**2 + 376*m + 114. Let t be k(54). Factor -68/5 + 2/5*u**2 - t*u.
2*(u - 17)*(u + 2)/5
Let x(y) be the first derivative of -37 - 2*y - 5/2*y**2 - 2/3*y**3. Factor x(w).
-(w + 2)*(2*w + 1)
Let u(z) be the third derivative of z**5/105 - 611*z**4/21 + 746642*z**3/21 - 30*z**2 - 5*z. Factor u(v).
4*(v - 611)**2/7
Let b(j) = 2*j**3 - 52*j + 54. Let r be b(1). Let t(c) be the second derivative of 10*c + 0*c**2 + 1 + 1/3*c**3 - 8/15*c**r + 3/50*c**5. Factor t(q).
2*q*(q - 5)*(3*q - 1)/5
Suppose -2/5*d**2 - 436/15 - 442/15*d = 0. Calculate d.
-218/3, -1
Suppose -60*g + 59*g - 28 = -3*k, k + g = -12. Suppose 1/4*x**k + x**3 + 3/4*x**2 - x - 1 = 0. What is x?
-2, -1, 1
Let a be ((-44)/70)/((-108)/(-45)). Let n = 1/42 - a. Find w, given that 1/7*w**2 - 3/7*w + n = 0.
1, 2
Let m(o) be the first derivative of -28/9*o**2 - 10 - 10/3*o - 20/27*o**3 + 2/45*o**5 + 2/9*o**4. Factor m(s).
2*(s - 3)*(s + 1)**2*(s + 5)/9
Suppose 0*q + 0 - 52/5*q**2 - 102/5*q**3 + 2/5*q**5 - 48/5*q**4 = 0. Calculate q.
-1, 0, 26
Let n(d) be the first derivative of 4*d**3/21 - 512*d**2/7 - 1028*d/7 - 774. What is l in n(l) = 0?
-1, 257
Let s = 170 - 72. Let t be (-18)/(-70)*s/42. Find i, given that t*i**3 - 3/5*i**2 - 3/5*i + 3/5 = 0.
-1, 1
Let o(d) be the second derivative of d**5/100 + 175*d**4/12 + 191843*d**3/30 + 190969*d**2/10 - 4*d + 12. Let o(r) = 0. Calculate r.
-437, -1
Let k be 108/50436*(2 + -1). Let a = 2333/934 + k. Factor -a*u**2 + 0*u + 0.
-5*u**2/2
Suppose -3*z - a = 71, -2*a = z + 37 - 5. Let r = -20 - z. Factor -2*y**r + 0*y**2 - 7 - 17*y + 5*y - 3.
-2*(y + 1)*(y + 5)
Let k(x) = -x**3 + 4*x**2 - 3*x - 1. Let d(o) = 2*o**3 + 106*o**2 + 558*o + 419. Let y(g) = -d(g) - 5*k(g). Factor y(b).
3*(b - 46)*(b + 1)*(b + 3)
Let g(n) be the second derivative of -n**4/72 - 71*n**3/36 - 23*n**2/2 - 2*n - 525. Determine k so that g(k) = 0.
-69, -2
Let u(t) be the first derivative of 45/4*t**4 - 11*t**3 - 47 + 12*t - 12*t**2. Solve u(v) = 0 for v.
-2/3, 2/5, 1
Let o(y) be the first derivative of 70/3*y**2 - 100/3*y + 44/15*y**5 - 2/9*y**6 + 56/9*y**3 - 34/3*y**4 + 101. Solve o(q) = 0.
-1, 1, 5
Let a(f) = -19*f**2 + 6884*f - 995307. Let k(v) = -13*v**2 + 4588*v - 663537. Let i(n) = 5*a(n) - 7*k(n). Let i(y) = 0. What is y?
288
Let x be (56 - (-6290)/(-111))/((-8)/3). Solve 2*f - 3 - 1/2*f**3 - x*f**4 + 7/4*f**2 = 0 for f.
-3, -2, 1, 2
Let m(t) be the second derivative of t**4/10 - 44*t**3/5 + 129*t**2/5 - 161*t - 2. Factor m(p).
6*(p - 43)*(p - 1)/5
Factor 35/3*z + 22 + 1/3*z**2.
(z + 2)*(z + 33)/3
Let o(b) be the second derivative of b**5/30 + 511*b**4/6 + 261121*b**3/3 + 133432831*b**2/3 + 12481*b. Factor o(r).
2*(r + 511)**3/3
Determine m, given that -3*m - 51*m**3 + 14*m + 55*m**3 + 0*m + 32*m**2 + 17*m = 0.
-7, -1, 0
Let x(m) = m**2 - 8*m - 31. Let u be x(11). Suppose 0 = -w - u*k + 4, -2*k = 2*k. Suppose -3*p**3 + 3*p**3 + 4*p - w*p**3 = 0. What is p?