**2.
(i - 1)**3
Let j(i) be the second derivative of 14792*i**6/15 + 3010*i**5 + 31657*i**4/12 + 175*i**3 + 9*i**2/2 + 5040*i. Let j(z) = 0. Calculate z.
-1, -3/172
Let v(j) be the third derivative of 0 - 1/4*j**5 - j**2 - 85/12*j**4 + 20*j**3 - 74*j. Let v(a) = 0. Calculate a.
-12, 2/3
Let 52 - 4*k**3 - 140 + 88*k**2 + 85*k - 81*k = 0. Calculate k.
-1, 1, 22
Suppose 0 = -460*o - 15173 + 17933. Find p, given that -27/4*p - o - 3/4*p**2 = 0.
-8, -1
Let j(z) be the first derivative of z**4/14 + 2714*z**3/7 + 5524347*z**2/7 + 4997692586*z/7 - 7859. What is q in j(q) = 0?
-1357
Let j = -545349 + 545351. Factor -2/3*g + 1/3*g**j + 0.
g*(g - 2)/3
Let s(u) = -3 + 1 + 6*u - 4 - u. Let q(o) = -o + 1. Let t(p) = 6*q(p) + s(p). Let d(a) = 3*a**2 + 15*a + 6. Let i(n) = -d(n) - 6*t(n). Let i(b) = 0. What is b?
-2, -1
Let a = 8 - 6. Let h be 9/2*38/57. Factor 8*n**a + 632*n**h - 636*n**3 + 0 + 0.
-4*n**2*(n - 2)
Suppose 4*n - 20 = 0, 4*j - 25*n - 41 = -30*n. Let g(p) be the first derivative of 4/3*p**3 - 12/5*p**5 - 4*p**j + 0*p + 4*p**2 - 7. Factor g(y).
-4*y*(y + 1)**2*(3*y - 2)
Let z(b) be the first derivative of 9*b**5/5 - 39*b**4 + 196*b**3/3 - 32*b**2 - 3491. Determine c, given that z(c) = 0.
0, 2/3, 16
Suppose 5*i - 648 = -3*k + 833, 2*i = -3*k + 1496. Find o, given that 986*o - k*o - 494*o - 5*o**2 = 0.
-2, 0
Let x(r) be the third derivative of r**5/210 + 3*r**4/14 - 25*r**3/3 + 1089*r**2. Suppose x(h) = 0. What is h?
-25, 7
Let f(t) be the third derivative of -t**7/280 + t**6/60 + t**5/8 - 3*t**4/4 + 91*t**3/6 + t**2 + 42*t. Let j(c) be the first derivative of f(c). Factor j(o).
-3*(o - 3)*(o - 1)*(o + 2)
Let m(h) be the second derivative of 3*h**6/40 + 351*h**5/80 - 557*h**4/24 + 209*h**3/6 - 21*h**2 - h + 453. What is g in m(g) = 0?
-42, 1/3, 2/3, 2
Factor 54*j**3 + 984*j**2 - 992*j - 113*j**3 - 188*j**3 + 332 - 4*j**4 - 116*j**3 + 43*j**3.
-4*(j - 1)**3*(j + 83)
Let i(h) be the first derivative of -h**6/45 + 2*h**5/15 + 3*h**4/10 - 98*h**3/45 + 8*h**2/15 + 8*h - 162. Solve i(v) = 0 for v.
-3, -1, 2, 5
Let a = -7726 + 7728. Let c(f) be the second derivative of 1/18*f**4 + 0 + 4/9*f**3 - 4/3*f**a - 1/30*f**5 - 11*f. Factor c(s).
-2*(s - 2)*(s - 1)*(s + 2)/3
Let s(z) be the first derivative of 1/22*z**4 + 0*z**2 + 173 + 8/33*z**3 + 0*z. Factor s(h).
2*h**2*(h + 4)/11
Let y = 920 - 529. Let d be y/153 + (-2)/(3 - 5). Let -d + 14/9*t**2 + 2/9*t**3 + 16/9*t = 0. Calculate t.
-4, 1
Let x(h) = h**2 + h - 122. Let s be x(11). Factor 202*m**2 + 38*m**3 + 221*m**2 + 22 - 3*m**2 + 228*m + s + 11*m**3.
(m + 8)*(7*m + 2)**2
Let v(l) be the second derivative of 14*l**5/25 - 3*l**4/2 + 13*l**3/10 - l**2/2 - 5920*l. Solve v(s) = 0 for s.
1/4, 5/14, 1
Let b = -231 + 239. What is q in 8*q + b*q**2 - 5*q**2 - 58*q**3 + 24*q**4 + q**2 + 12*q**2 = 0?
-1/4, 0, 2/3, 2
Let k(y) = -2*y**2 + y + 5. Let g(q) = -44*q**2 + 3269*q - 1318583. Let l(r) = -2*g(r) + 42*k(r). Solve l(x) = 0 for x.
812
Let x = 1639 + -3943. Let l = 2306 + x. Factor -2/13*p**l + 12/13*p + 14/13.
-2*(p - 7)*(p + 1)/13
Let l be ((-2)/9 + (-10)/(-45))/(38 + (-68 - -29)). Let 6*h**4 + 33/7*h**3 - 48/7*h**2 + 9/7*h**5 + l - 36/7*h = 0. What is h?
-3, -2, -2/3, 0, 1
Factor -2/11*h**3 + 27/11 - 13/11*h**2 - 12/11*h.
-(h - 1)*(h + 3)*(2*h + 9)/11
Let i(a) be the first derivative of 27*a**3 - 90*a**2 + 100*a - 128. Factor i(h).
(9*h - 10)**2
Let n(k) be the second derivative of -46*k - 1/2*k**3 + 0*k**4 + 1/80*k**5 - 2 - 2*k**2. Factor n(a).
(a - 4)*(a + 2)**2/4
Factor 14/23*r**4 + 0 + 0*r**2 + 0*r - 6/23*r**3.
2*r**3*(7*r - 3)/23
Let g = 31 - 99. Let j be 1/(-17) + (-38)/g. Factor p + j + 1/2*p**2.
(p + 1)**2/2
Let 25*m**3 - 11*m**2 - 43*m**2 + 64*m**2 = 0. Calculate m.
-2/5, 0
Let y(p) be the first derivative of -p**5/200 - 11*p**4/120 - 19*p**3/60 - 9*p**2/20 + p - 51. Let d(k) be the first derivative of y(k). Factor d(a).
-(a + 1)**2*(a + 9)/10
Suppose -18*d + 84 = -114. Let s(z) = -4*z**2 + 240*z + 233. Let l(a) = -a**2 + 80*a + 77. Let c(j) = d*l(j) - 4*s(j). Factor c(u).
5*(u - 17)*(u + 1)
Let s = 85295 + -507551/6. Let g = s + -703. Find o such that -1/6 - g*o**2 + 1/3*o = 0.
1
Let y be (-5)/1 - 374/(-45). Let d = y - 28/9. Solve -1/5*o**4 + 0 + d*o**3 - 1/5*o + 1/5*o**2 = 0.
-1, 0, 1
Factor -6699/2*w**2 + 3/2*w**4 + 3351/2*w + 0 + 3345/2*w**3.
3*w*(w - 1)**2*(w + 1117)/2
Suppose 16*x = 8*x + 24. Factor -4*y**3 + x*y - y**3 - 16*y + 10 + 6*y**3 + 2*y**2.
(y - 2)*(y - 1)*(y + 5)
Let d = -69 - -62. Let i be (d/(-1))/((-12)/(-420)). Factor w**4 - 245*w + i*w - 3*w**4.
-2*w**4
Let h(p) be the first derivative of p**5/270 + 59*p**4/54 + 3481*p**3/27 + 101*p**2 + 8. Let c(l) be the second derivative of h(l). Factor c(b).
2*(b + 59)**2/9
Let v = 38241/76490 + 2/38245. Factor -1/2*l**4 - v + 2*l + 2*l**3 - 3*l**2.
-(l - 1)**4/2
Let y(n) be the first derivative of -n**7/1400 - n**6/200 + n**4/10 + 106*n**3/3 + 17. Let s(l) be the third derivative of y(l). Determine u so that s(u) = 0.
-2, 1
Let f(d) = 3*d**3 - d**2 - 2*d + 5. Let t(n) = 6*n**3 - 2*n**2 - 4*n + 9. Let o(j) = 9*f(j) - 5*t(j). Let o(h) = 0. What is h?
-2/3, 0, 1
Find n, given that 34*n + 69 - 1/4*n**2 = 0.
-2, 138
Find b such that 4/5*b**4 + 312/5*b**2 + 224/5 - 464/5*b - 76/5*b**3 = 0.
1, 2, 14
Let r(b) be the second derivative of -b**7/294 + 37*b**6/210 + 3*b**5/140 - 113*b**4/84 + 37*b**3/21 + 150*b + 3. Let r(i) = 0. What is i?
-2, 0, 1, 37
Let d(y) = y**2 - 3*y + 3. Let f be d(1). Let v be (3/(-12))/(3/((-24)/f)). Determine x, given that -26 - 5*x - 27 + 3*x**3 + 8*x**v + 47 = 0.
-3, -2/3, 1
Let t(v) be the first derivative of -5/3*v**3 - 15/2*v**2 - 10*v - 67. Solve t(w) = 0 for w.
-2, -1
Let u(x) = -x**2 - 14*x - 24. Let n be u(-24). Let i = n - -264. What is a in 0*a**2 + 1/4*a**5 + 1/2*a**3 + 0 + i*a + 3/4*a**4 = 0?
-2, -1, 0
Let v(g) be the first derivative of -2/21*g**6 - 552/7*g**3 + 95/7*g**4 - 648*g**2 + 16/35*g**5 + 6048*g + 149. Factor v(c).
-4*(c - 6)**3*(c + 7)**2/7
Let a(q) be the first derivative of 1/6*q**3 - 52 + 3/4*q**2 - 5*q. Factor a(z).
(z - 2)*(z + 5)/2
Let o(f) be the first derivative of -10*f**3 + 0*f - 1/540*f**6 + 0*f**4 - 1/45*f**5 + 0*f**2 - 26. Let a(x) be the third derivative of o(x). Factor a(l).
-2*l*(l + 4)/3
Let l be (-85)/150 - (-3)/5. Let v(c) be the second derivative of 1/12*c**4 + 1/42*c**7 + 9*c + 0 + 0*c**2 + 0*c**3 - 1/20*c**5 - l*c**6. Factor v(o).
o**2*(o - 1)**2*(o + 1)
Let r(v) = 10*v**3 + 155*v**2 - 100*v - 1950. Let g(u) = 7*u**3 + 78*u**2 - 49*u - 975. Let y(n) = -5*g(n) + 3*r(n). What is m in y(m) = 0?
-3, 5, 13
Let s(f) = -14*f**3 + 28*f**2 + 409*f. Let m(a) = 55*a**3 - 115*a**2 - 1635*a. Let i(q) = -9*m(q) - 35*s(q). Let i(y) = 0. Calculate y.
-5, 0, 16
Let v(h) be the third derivative of -209*h**5/240 - h**4/96 - 1440*h**2. Find w, given that v(w) = 0.
-1/209, 0
Let s be (-20)/(-72) - 3*(-8)/(-216). Let r(d) be the first derivative of 0*d**2 + 1/4*d**4 - s*d**6 + 0*d - 15 - 1/3*d**3 + 1/5*d**5. Factor r(h).
-h**2*(h - 1)**2*(h + 1)
Let k(r) be the third derivative of -r**7/7560 + 13*r**6/2160 - r**5/30 + 97*r**4/8 + 137*r**2. Let q(w) be the second derivative of k(w). Factor q(a).
-(a - 12)*(a - 1)/3
Let z(p) be the second derivative of -1/110*p**5 - 1/11*p**4 - 1 - 21*p - 3/11*p**3 - 4/11*p**2. Determine j so that z(j) = 0.
-4, -1
Let m(o) be the second derivative of -2*o**6/15 - 6*o**5/5 + 64*o**3/3 + 3295*o. Factor m(k).
-4*k*(k - 2)*(k + 4)**2
Let p(n) be the second derivative of -1/10*n**6 - 216*n**2 - 42*n + 39/10*n**5 + 0 + 156*n**3 - 193/4*n**4. Factor p(y).
-3*(y - 12)**2*(y - 1)**2
Let t(p) be the first derivative of -p**3 + 5385*p**2/2 + 5388*p + 8328. Factor t(q).
-3*(q - 1796)*(q + 1)
Find v such that 12*v**4 - 4*v**3 + 2428*v**5 - 6*v**2 - 2429*v**5 - 43*v**3 + 78*v**2 + 0*v**4 - 36*v = 0.
0, 1, 2, 3, 6
Suppose 0 - 708/5*p**4 + 9/5*p**5 + 0*p - 64*p**2 - 956/5*p**3 = 0. Calculate p.
-2/3, 0, 80
Let p(u) be the first derivative of -162*u**4/7 - 312*u**3/7 + 335*u**2/7 - 100*u/7 - 523. Factor p(w).
-2*(w + 2)*(18*w - 5)**2/7
Let y(n) be the third derivative of -n**6/150 + n**5/75 + 13*n**4/6 + 42*n**3/5 - 12*n**2 - 3. Factor y(m).
-4*(m - 9)*(m + 1)*(m + 7)/5
Let o be 182/15 - (-25 - (-36 + -1)). Determine x so that 6/5*x + o*x**5 - 4/5*x**4 - 32/15*x**2 - 4/15 + 28/15*x*