e the third derivative of 89*r**2 - 3/4*r**5 + 1/42*r**7 + 0 + 0*r + 7/24*r**6 - 35/24*r**4 + 20/3*r**3. Determine j so that x(j) = 0.
-8, -1, 1
Suppose 2*p - 3 = 5*y + 1, p = 5*y + 2. Suppose -8*f**3 - 28*f + 5*f**4 + 3*f**4 - 38*f**p + 61 - 67 = 0. Calculate f.
-1, -1/2, 3
Determine f so that 1/5*f**3 - 125 - 7*f**2 + 55*f = 0.
5, 25
Suppose 206 = u - 4*q + 8*q, -2*u - 2*q = -388. Suppose 0 = -0*w + 10*w - u. Factor -r - 30 + 6*r**2 - 24*r - 40*r + w*r**2.
5*(r - 3)*(5*r + 2)
Factor -1/6*z**2 + 115/3 + 113/6*z.
-(z - 115)*(z + 2)/6
Let g(j) be the second derivative of -j**6/1800 - j**5/25 - 23*j**4/120 + j**3/3 - 2*j**2 - 14*j + 1. Let q(l) be the second derivative of g(l). Factor q(o).
-(o + 1)*(o + 23)/5
Let u = 573 - 465. Factor -126*x**5 + 108*x + 9*x**2 - 9*x**4 + u + 64*x**5 + 61*x**5 - 23*x**3.
-(x - 2)*(x + 2)*(x + 3)**3
Let k(n) be the third derivative of 7*n**6/24 + 109*n**5/12 + 395*n**4/12 + 140*n**3/3 - 2*n**2 + 125*n. Factor k(p).
5*(p + 1)*(p + 14)*(7*p + 4)
Let n be ((-2)/(-3))/(28/(-20538)). Let j = 491 + n. Let 0 + 0*l - 3/7*l**3 - 18/7*l**j = 0. What is l?
-6, 0
Let g(n) be the first derivative of 13*n + 2/7*n**2 - 3/14*n**4 - 7 + 1/3*n**3. Let m(a) be the first derivative of g(a). Solve m(z) = 0 for z.
-2/9, 1
Factor 49992 - 3*j**2 - 49974 - 16*j + 3*j**2 - 2*j**2.
-2*(j - 1)*(j + 9)
Let m be (-64)/6 + 42800/3210. Find q such that -22/9*q - 2/9*q**3 + 0 - m*q**2 = 0.
-11, -1, 0
Let t = -1443/10 + 5777/40. Let s(p) be the third derivative of 0 - 48*p**2 - 3/20*p**5 + 0*p**3 - t*p**4 + 1/10*p**6 + 0*p. Factor s(v).
3*v*(v - 1)*(4*v + 1)
Let d be 91/((-6552)/(-160))*6/10. Let -2/3*v**3 - 4/3 + 2/3*v + d*v**2 = 0. What is v?
-1, 1, 2
Factor 367/5*o + 1/5*o**3 - 38/5*o**2 - 66.
(o - 22)*(o - 15)*(o - 1)/5
Suppose -4*c = -4 - 4. Let l be c/(1/(-4) - 12/48). Let r(k) = -12*k**3 + 12*k + 4. Let o(u) = u**2 + u + 1. Let t(h) = l*o(h) + r(h). Factor t(m).
-4*m*(m + 1)*(3*m - 2)
Factor -32/7 - 2/7*b**3 - 22/7*b**2 - 52/7*b.
-2*(b + 1)*(b + 2)*(b + 8)/7
Determine l so that -694628*l - 2444008923 + 903199*l + l**3 + 1585889*l + 3718531*l - 69764*l - 4041*l**2 = 0.
1347
Let i(t) be the third derivative of -t**6/30 + 14*t**5/25 - 38*t**4/15 + 16*t**3/5 - 584*t**2. Find v, given that i(v) = 0.
2/5, 2, 6
Let t(f) = f**3 - 17*f**2 + 42*f + 133. Let w be t(13). Let i(s) be the first derivative of -3/2*s**2 + 11 + 2*s + 1/3*s**w. Solve i(k) = 0 for k.
1, 2
Suppose -5*z + 245 = 5*b, 4*b = 2*z + 5*b - 97. Let o be (3/2)/((-6)/z*-28). Factor -o*p**2 - 12/7 + 12/7*p.
-3*(p - 2)**2/7
Let k(h) be the third derivative of -1/350*h**7 + 0*h**3 - 1/50*h**6 + 11/100*h**5 - 3/20*h**4 + 0*h - 28*h**2 - 2. Factor k(z).
-3*z*(z - 1)**2*(z + 6)/5
Let x(v) be the first derivative of v**6/27 + 14*v**5/9 - 163*v**4/9 + 172*v**3/3 - 3*v**2 - 258*v + 289. Solve x(g) = 0 for g.
-43, -1, 3
Suppose -1307*z**4 + 1727*z + 464*z**4 - 18*z**5 - 4041*z**2 - 10206*z**3 - 4350*z**2 + 735*z**2 + 1587 + 1585*z = 0. Calculate z.
-23, -1, -1/3, 1/2
Let d be 72/(-12) + 2804/(12/3). Factor 340*w + 850*w**2 + 5085 - 845*w**2 + d.
5*(w + 34)**2
Let n(t) be the third derivative of -t**6/48 + 14*t**5/15 - 209*t**4/48 + 17*t**3/2 - 514*t**2. Factor n(a).
-(a - 1)**2*(5*a - 102)/2
Suppose 196974 - 2*p**4 - 196478 + p**4 + 128*p**3 - 128*p - 495*p**2 = 0. Calculate p.
-1, 1, 4, 124
Let q(j) be the first derivative of -j**7/21 - 4*j**6/15 - 2*j**5/5 - 69*j + 293. Let t(w) be the first derivative of q(w). Factor t(s).
-2*s**3*(s + 2)**2
Let v(c) be the first derivative of c**3/18 + 3*c**2/4 - 5*c/3 + 1534. Factor v(b).
(b - 1)*(b + 10)/6
Let u(n) be the second derivative of -n**6/15 + 9*n**5/5 - 11*n**4/2 + 16*n**3/3 + 2*n + 156. Factor u(i).
-2*i*(i - 16)*(i - 1)**2
Suppose 9504/5 + 7116/5*q**2 + 14248/5*q - 1/5*q**4 + 1182/5*q**3 = 0. What is q?
-2, 1188
Suppose 5*z - 145*i + 143*i = 16, -16 = -2*z + 4*i. Let n be z/8 - (-21 + 1208/96). Factor n*v + 3 + 8*v**2 + 2*v**3 - 1/3*v**4.
-(v - 9)*(v + 1)**3/3
Let f(o) be the second derivative of o**6/225 - o**5/30 - o**4/90 + o**3/9 - 10*o + 423. Let f(l) = 0. Calculate l.
-1, 0, 1, 5
Let z(m) = 4*m**2 + 206*m - 101. Let h be z(-52). Let l = -327 - -329. What is j in 5/2*j**l + 7/2*j**h + 0 - j = 0?
-1, 0, 2/7
Let x(l) be the second derivative of 4*l**6/3 + 93*l**5/5 + 107*l**4/3 + 16*l**3 - 57*l. Let x(q) = 0. What is q?
-8, -1, -3/10, 0
Let g(c) = c + 4. Let y be g(-1). Let f(o) = o**2 - 21 + 11 - 3*o**3 + 2*o**y + 9. Let t(d) = -3*d**3 + d**2 + 5*d - 5. Let z(l) = 6*f(l) - 3*t(l). Factor z(m).
3*(m - 1)**2*(m + 3)
Let c(z) be the third derivative of z**6/30 + 17*z**5/15 - 52*z**4/3 + 88*z**3 + 436*z**2. Determine d so that c(d) = 0.
-22, 2, 3
Factor -l**2 - 17203*l + 8607*l + 8617*l - 98.
-(l - 14)*(l - 7)
Let n(s) = 16*s + 1. Let p be n(2). Let o = -6022 - -6024. Suppose 15*t**2 + 19*t**o - 9*t - p*t**2 = 0. Calculate t.
0, 9
Factor 7556*z**2 + 28*z**3 - 5*z**4 - 7*z**4 + 143*z**3 + 24*z**4 - 11*z**4 + 20496*z - 28224.
(z - 1)*(z + 4)*(z + 84)**2
Let x(v) = 8*v**4 - 95*v**3 + 91*v**2 + 95*v - 93. Let i(n) = n**4 + 2*n**2 - 1. Let f be 20/25 - (19/5 - 0). Let l(t) = f*i(t) + x(t). Factor l(p).
5*(p - 18)*(p - 1)**2*(p + 1)
Let g = 37771/7 + -5395. Let u = 15 + -104/7. Factor 10/7*m - u*m**4 - 3/7 - 12/7*m**2 + g*m**3.
-(m - 3)*(m - 1)**3/7
Let b(l) = -4*l**4 - 5*l**3 + 100*l**2 - 245*l + 189. Let g(u) = u**3 + u - 9. Let o(k) = -b(k) - 5*g(k). Suppose o(r) = 0. What is r?
-6, 1, 2, 3
Let b(n) be the first derivative of 5*n**2 + 0*n + 1/210*n**5 - 8/21*n**3 - 24 - 1/42*n**4. Let p(o) be the second derivative of b(o). Factor p(k).
2*(k - 4)*(k + 2)/7
Factor -23/4*n + 3/4*n**2 - 9.
(n - 9)*(3*n + 4)/4
Let v = 27747 - 110983/4. Let x(g) be the third derivative of 0 + 0*g**3 - 17/24*g**6 + 0*g + 34*g**2 - v*g**5 + 5/12*g**4. Suppose x(h) = 0. Calculate h.
-1, 0, 2/17
Let c(o) be the first derivative of 2/3*o**3 + 5*o**2 + 10 + 16*o + 1/30*o**4. Let i(n) be the first derivative of c(n). Factor i(q).
2*(q + 5)**2/5
Let s(z) be the second derivative of -10/9*z**4 + 1 + z**3 - 1/10*z**5 + 14/3*z**2 + 50*z. Let s(d) = 0. What is d?
-7, -2/3, 1
Solve 248/5*w - 24 + 4/5*w**3 - 134/5*w**2 + 2/5*w**4 = 0.
-10, 1, 6
Let q(x) = x**3 + 132*x**2 + 205*x - 276. Let w(p) = 11*p**3 + 1482*p**2 + 2256*p - 3036. Let y(l) = -46*q(l) + 4*w(l). Factor y(u).
-2*(u - 1)*(u + 4)*(u + 69)
Let g = -260 + 262. Let x be 2*2*((-95)/19)/(-5). Solve -1/2*t**x - 2*t - 2*t**3 - 3*t**g - 1/2 = 0 for t.
-1
Let q(w) be the first derivative of 0*w - 314 - 69/14*w**4 + 0*w**2 + 529/7*w**3 + 3/35*w**5. Factor q(a).
3*a**2*(a - 23)**2/7
Suppose -4*x + 3*m + 23 = 0, -3*x + 11 = -m - 0*m. Let k be (-424)/1325*(-11 + (-2 - -3)). Factor k*u - 4/5 - 5*u**3 - u**x.
-(u + 1)*(5*u - 2)**2/5
Solve 4*s + 81*s**2 - 14*s + 4*s**4 - 82 + 68*s - 83*s**3 - 3*s**4 + 25*s = 0.
-1, 1, 82
Let f(i) be the third derivative of -i**7/1050 + 17*i**6/600 + i**5/15 - 3*i**4/10 + 87*i**2 - 2. Let f(c) = 0. What is c?
-2, 0, 1, 18
Let f(x) = 6331*x + 75976. Let z be f(-12). Find w, given that -2/3*w**2 + z*w - 16/3 = 0.
2, 4
Let j(a) be the first derivative of a**5/15 - 17*a**4/3 + 578*a**3/3 - a**2/2 + 83*a - 4. Let d(b) be the second derivative of j(b). What is h in d(h) = 0?
17
Factor 515*i + 291 - 567 - 774 + 5*i**2.
5*(i - 2)*(i + 105)
Suppose 2*f + 4*q + 84 - 72 = 0, -6*q + q = 25. Factor 0 + 1/3*n**f + 0*n + 8/3*n**3 + 0*n**2.
n**3*(n + 8)/3
Suppose 2/9*z**3 - 34/3*z**2 + 560/3*z - 9016/9 = 0. Calculate z.
14, 23
Let m(j) be the second derivative of j**4/36 + 29*j**3/6 + 81*j**2 + 1718*j. Factor m(a).
(a + 6)*(a + 81)/3
Let i be (-252)/9660*115*((-10)/9 + 0). Find z, given that -i*z - 5/2*z**2 + 10/3 = 0.
-2, 2/3
Let d(c) be the second derivative of 33/10*c**5 + 0 + 1/21*c**7 - 200*c + 0*c**2 + 0*c**3 + 6*c**4 + 2/3*c**6. Solve d(j) = 0.
-4, -3, 0
Let r = 2 - -34. Let f = r + -36. Factor -45*b - 10 + f + 5*b**2 + 50*b.
5*(b - 1)*(b + 2)
Factor 3/2*q**2 + 1560 - 243/2*q.
3*(q - 65)*(q - 16)/2
Let h(g) be the first derivative of -4*g**5/5 - 47*g**4 - 184*g**3/3 - 1500. Factor h(q).
-4*q**2*(q + 1)*(q + 46)
Let o(j) be the first derivative of 2*j**3/15 + 16*j**2 + 1848*j/5 - 9683. Let o(m) = 0. Calculate m.
-66, -14
Determine p, given that -28 + 85/4*p**3 - 179/2*p - 161/4*p**2 = 0.
-1, -2/5, 56/17
Le