/21*q**4 + 0 + 74/35*q**5 - 2/735*q**7 + 0*q. Suppose g(k) = 0. Calculate k.
-2, 39
Let w(z) be the first derivative of z**7/70 + 14*z**6/45 + 8*z**5/3 + 32*z**4/3 - 6*z**3 - 71. Let a(l) be the third derivative of w(l). Factor a(v).
4*(v + 4)**2*(3*v + 4)
Suppose -22 = 4*i + s - 54, 5*s = 5*i - 40. Suppose 0 = 2*r - 6*r + i. Factor -5*m**5 - 12*m**4 + 4*m**2 - 12*m + 8*m**3 - r*m**2 + 6*m**2 + 9*m**5 + 4.
4*(m - 1)**4*(m + 1)
Let i be (28 - 3861/135)/(9/480*-14). Factor -36/7*b - 8/7 - 12/7*b**2 + i*b**3.
4*(b - 2)*(b + 1)*(4*b + 1)/7
Let v(d) be the second derivative of -d**7/105 - d**6/15 + d**5/5 + d**4/3 - 5*d**3/3 + 27*d**2 - 69*d. Let c(y) be the first derivative of v(y). Factor c(q).
-2*(q - 1)**2*(q + 1)*(q + 5)
Let z(x) = -15*x**2 + 618*x - 117. Let j(q) = -q**2 - q + 5. Let u(r) = 6*j(r) + z(r). Factor u(d).
-3*(d - 29)*(7*d - 1)
Let x(m) = -m**3 - 17*m**2 + 8. Let d(u) = 2*u**3 + 16*u**2 - 10. Suppose 4*z + 4 = 0, n - 3 = -2*z + z. Let p(k) = n*d(k) + 5*x(k). Factor p(s).
3*s**2*(s - 7)
Let f be -14*209/(-532) + 342/(-72). Factor -1/8*z**3 - 3/4 + f*z**2 + 1/8*z.
-(z - 6)*(z - 1)*(z + 1)/8
Suppose -o - 941 + 943 = 0. Factor 13*b**2 + 3*b**2 + o*b - 2*b - 12*b**2 - 36.
4*(b - 3)*(b + 3)
Let k = 75 + -66. Find r such that -4*r**2 - 2*r**2 + 12*r**2 + 9*r - k*r**2 - 6 = 0.
1, 2
Let o(p) be the third derivative of -p**6/120 - 73*p**5/60 - 57*p**4 - 216*p**3 - 437*p**2. Factor o(y).
-(y + 1)*(y + 36)**2
Suppose -f - 317 = -2*b, -10*b + 14*b = -2*f + 614. Let m be (-2 - b/(-90))/((-2)/10). Factor m + 2/9*r**2 - 14/9*r.
2*(r - 6)*(r - 1)/9
Let q(w) be the third derivative of -w**5/120 + 9*w**4/16 - 2*w**2 - 56. Factor q(j).
-j*(j - 27)/2
Let z = 17 + -13. Determine g, given that -3*g**2 - 309*g**3 + 306*g**3 - 15*g**2 + 3*g**z = 0.
-2, 0, 3
Factor 3375/2 - 2048*h**3 + 5760*h**2 - 5400*h.
-(16*h - 15)**3/2
Solve 78/5*k**4 - 852/5*k**2 + 21/5*k**5 + 144/5 - 423/5*k**3 - 228/5*k = 0 for k.
-6, -1, 2/7, 4
Let a(d) = -3*d**2 + 6*d + 19. Let v be a(-3). Let r be (0 + (-3)/21)/(13/v). Factor r*b**4 + 10/7*b**3 + 4/7 + 18/7*b**2 + 2*b.
2*(b + 1)**3*(b + 2)/7
Let o = 11399/2 + -5536. Let m = o - 163. Factor m*c**2 + c + 0.
c*(c + 2)/2
Let v(p) be the third derivative of p**9/13608 + p**8/7560 - 38*p**3/3 - p**2. Let n(f) be the first derivative of v(f). Determine w, given that n(w) = 0.
-1, 0
Let q be 2/6*126/168 + 45/12. Let l(t) be the first derivative of -29 + t**q - 28/15*t**3 - 4/25*t**5 + 0*t + 6/5*t**2. Let l(w) = 0. What is w?
0, 1, 3
Suppose -68*t - 32694 + 32830 = 0. Solve 64/3 + 1/3*f**t + 16/3*f = 0 for f.
-8
Suppose 0 = 247*j - 259*j. Factor -8*z**2 + j*z + 11*z**2 - 6*z**3 - 5*z**2 + 4*z + 2*z**4 + 2*z.
2*z*(z - 3)*(z - 1)*(z + 1)
Let d be -1 + 8/10 + 13366/205. Suppose 7*r = -d + 79. Factor -1/3*i - 1/3*i**r + 0.
-i*(i + 1)/3
Let v(w) = 2*w**2 - 1. Let c(q) = -472*q - 182. Let p = 68 - 67. Let x(s) = p*c(s) + 10*v(s). What is u in x(u) = 0?
-2/5, 24
Let m(o) be the second derivative of -o**5/12 + o**4/9 + 7*o**3/18 - o**2 + 2089*o. Factor m(k).
-(k - 1)**2*(5*k + 6)/3
Find h, given that 3504*h**2 + 20*h**3 - 22 - 83*h - 72*h + 30*h**3 + 7*h**4 - 3489*h**2 + 105*h**3 = 0.
-22, -1, -1/7, 1
Determine r, given that 294 - 316 + 13*r - 143*r**2 + 142*r**2 = 0.
2, 11
Let p = -5021 - -5038. Let y(w) be the second derivative of 5/3*w**4 + 0 - 5/4*w**3 + 4/21*w**7 - w**5 + p*w + 0*w**6 + 1/2*w**2. Solve y(s) = 0.
-2, 1/2
Let v(d) = -d**3 + 9*d**2 + 9*d + 21. Let u be v(10). Suppose -3*y = -2*y - u. Factor 2*b**2 + 30 - b**2 + 3*b**2 + y*b**2 - 55*b.
5*(b - 3)*(3*b - 2)
Suppose -w + 0*n - 8 = 4*n, -5*w + 35 = 5*n. Let u be 0 - w/3 - -209. Factor 2*g + 2*g + 204 + 4*g**3 - u - g**4 - 6*g**2.
-(g - 1)**4
Let f(n) be the first derivative of -n**4/30 + 64*n**3/45 - 89*n**2/15 + 116*n/15 - 706. Solve f(r) = 0 for r.
1, 2, 29
Let x be (882/36)/(20/(-8)) + 10. Let o(t) be the first derivative of 0*t + 7 - 9/5*t**2 + x*t**3 + 3/5*t**4 + 3/25*t**5. Find h, given that o(h) = 0.
-3, -2, 0, 1
Let v(z) = z**2 + 9*z + 8. Let g be v(-4). Let d be 2/5 + g + 18. What is q in 8/5*q**2 + 22/5*q - d*q**5 - 4/5 - 98/5*q**3 - 112/5*q**4 = 0?
-2, -1, 1/4
Let w(a) be the second derivative of a**7/21 + 8*a**6/15 - 6*a**5/5 - 11*a**4/3 + 43*a**3/3 - 18*a**2 - 7733*a. Factor w(r).
2*(r - 1)**3*(r + 2)*(r + 9)
Let x(j) be the second derivative of -5*j**2 + 0 + 16*j + 235/36*j**3 + 5/18*j**4. Suppose x(v) = 0. What is v?
-12, 1/4
Let f = -111 + 114. Suppose d + 6 = 3*d. Let 0*s**4 - 4*s**4 + 3*s**f + 0*s**3 + s**d = 0. What is s?
0, 1
Let -576/5 + 2*k**2 - 712/5*k = 0. Calculate k.
-4/5, 72
Let b(y) = y**5 + 25*y**4 + 33*y**3 - 26*y**2. Let z(r) = -r**4 - 2*r**3. Let a(l) = b(l) + 11*z(l). Factor a(d).
d**2*(d - 1)*(d + 2)*(d + 13)
Let k(a) be the first derivative of -5*a**8/336 + a**7/21 + a**6/8 - a**5/3 - 5*a**4/6 + 2*a**2 + 54. Let n(u) be the second derivative of k(u). Factor n(t).
-5*t*(t - 2)**2*(t + 1)**2
Suppose 0 = -10193*w + 10200*w - 14. Let x(j) be the third derivative of 0*j - 1/40*j**6 + 15*j**2 + w*j**3 - j**4 + 0 + 1/4*j**5. Determine g so that x(g) = 0.
1, 2
Let s(u) be the first derivative of -u**6/3 + 94*u**5/5 + 336*u**4 + 1416*u**3 - 5028. Determine r so that s(r) = 0.
-6, 0, 59
Let b(y) = y**3 - 72*y - 78. Let k be b(9). Solve 24/5*v**2 - 26/5*v + 2/5*v**k + 0 = 0.
-13, 0, 1
Suppose -4*b + 3*b = 2*a - 16, 8*a = 4*b. Let d(h) be the first derivative of 8 - 4/3*h**3 - b*h**2 - 16*h. Solve d(j) = 0 for j.
-2
Let o(m) = -4*m**3 - 262*m**2 + 859*m + 1138. Let y(l) = -20*l**3 - 1308*l**2 + 4296*l + 5696. Let v(b) = -16*o(b) + 3*y(b). Factor v(p).
4*(p - 4)*(p + 1)*(p + 70)
Let m = 1/13751 + 220009/96257. Factor 2/7*d**4 + m*d**3 + 20/7*d + 34/7*d**2 + 0.
2*d*(d + 1)*(d + 2)*(d + 5)/7
Let w = -6817/280 - -195/8. Let c(y) be the third derivative of 0 + 11*y**2 - w*y**5 + 0*y - 1/84*y**4 + 0*y**3 - 3/140*y**6. Determine d so that c(d) = 0.
-1/3, 0
Let y(a) be the first derivative of a**3 + 534*a**2 + 1065*a - 155. Factor y(f).
3*(f + 1)*(f + 355)
Let z = -39 + -3. Let x be ((-16)/(-196))/(z/(-49)). Factor 8/21 + 10/21*u**2 + 16/21*u + x*u**3.
2*(u + 1)*(u + 2)**2/21
Let d = 88 + -83. Suppose 8*i - 12 = d*i. Determine r so that 181*r**3 - 6*r**i + 3*r + 6*r**2 - 181*r**3 - 3*r**5 = 0.
-1, 0, 1
Let h(b) be the first derivative of -2*b**5/45 + 4*b**4 - 952*b**3/9 + 4624*b**2/9 - 1412. Factor h(x).
-2*x*(x - 34)**2*(x - 4)/9
Let x = 79 + 21. Solve -109*g**2 + 58*g**2 + x + 20*g + 52*g**2 = 0 for g.
-10
Let c(q) = 4*q**2 + q - 1. Let x be c(3). Determine s, given that -186*s - 96*s**2 - x*s**4 + 29*s**4 + 66*s**3 + 90*s = 0.
-2/3, 0, 4
Let o(s) be the second derivative of -s**6/15 + 1221*s**5/10 - 165649*s**4/2 + 67419143*s**3/3 + 7*s + 5. What is d in o(d) = 0?
0, 407
Suppose -3*i + 5*i = 3*u - 6, -2*u + 23 = 5*i. Let h(a) be the third derivative of 0*a**5 - 11*a**2 - 1/120*a**6 + 0*a + 1/24*a**4 + 0*a**i + 0. Factor h(q).
-q*(q - 1)*(q + 1)
Let i(v) = 2*v**2 - 17*v + 3. Let u(c) = -1. Let r(j) = -i(j) + 5*u(j). Let y be r(8). Factor -1/4 - 1/4*f**4 + 1/2*f**2 + y*f + 0*f**3.
-(f - 1)**2*(f + 1)**2/4
Let v(b) be the third derivative of 0*b**4 + 1/3*b**5 + 1/24*b**6 - 2*b + 12*b**2 + 0 + 0*b**3. Solve v(s) = 0.
-4, 0
Let w be -9 + (3/(-21))/(74/(-4662)). Factor -4/7*s**2 + w + 32/7*s.
-4*s*(s - 8)/7
Let v be 105*(6 - (-12)/(-450)*(-444)/(-2)). Factor -2 - v*n - 8/5*n**2.
-2*(n + 5)*(4*n + 1)/5
Let r be (80/99)/4*75/100*6. Determine c so that r*c**3 + 8/11*c**4 + 0*c + 0*c**2 - 2/11*c**5 + 0 = 0.
-1, 0, 5
Let z(m) be the second derivative of m**6/105 - 51*m**5/70 + 205*m**4/14 - 2825*m**3/21 + 4500*m**2/7 - 2*m + 275. Solve z(g) = 0.
5, 36
Factor -2/11*u**2 - 832/11*u - 86528/11.
-2*(u + 208)**2/11
Let l(v) = v**3 - 3*v**2 - 14*v + 3. Let x(k) = 6*k**3 + 44*k**2 - 668*k + 967. Let j(t) = 5*l(t) - x(t). Solve j(h) = 0 for h.
-68, 2, 7
Suppose -11*f - 3454 = -22*f. Let t = f - 311. Find d, given that 0*d**2 + 4/3*d**4 + 0*d + 0 - 8/3*d**t = 0.
0, 2
Suppose i + 7 = 4*p, 2*i = -0*i + p - 7. Let j be (8/(-3))/(2/i). Let f**4 - 6*f**4 - 3*f**5 + 8*f**j = 0. What is f?
0, 1
Let s(m) be the first derivative of 2*m**4/13 - 62*m**3/13 + 23*m**2/13 + 919. Determine l, given that s(l) = 0.
0, 1/4, 23
Let d(u) be the second derivative of -889249*u**4/54 + 1886*u**3/9 - u*