culate w.
-10
Let q(t) be the first derivative of -t**6/24 + t**5/5 + 11*t**4/8 - t**3/3 - 21*t**2/8 - 7773. Suppose q(s) = 0. Calculate s.
-3, -1, 0, 1, 7
Let g be (15/(-10))/(-1*(-1)/(-2)). Let t(d) = -d**2 + 14*d - 31. Let j be t(g). Factor 6/7*v**j + 6/7*v**3 + 2/7*v + 0 + 2/7*v**4.
2*v*(v + 1)**3/7
Suppose -7417 = 4*g - 71417. Factor -2642*m**3 + 124*m**4 + 10867*m**2 + g + 8968*m**2 + 1085*m**2 - 34400*m - 2*m**5.
-2*(m - 20)**3*(m - 1)**2
Let o = -157 + 178. Factor 39*f**2 + 6*f**4 - 55*f**3 - 11*f**4 + o*f**2.
-5*f**2*(f - 1)*(f + 12)
Let d(s) be the third derivative of -s**6/300 - 11*s**5/75 + 211*s**4/60 + 232*s**3/15 + 1508*s**2 - 3. Find p such that d(p) = 0.
-29, -1, 8
Let f(d) = -69395*d + 416372. Let c be f(6). Suppose 5*y = b + 10, -6*b + b + 4*y - 8 = 0. Factor 4/5*w + 2/5*w**c + b.
2*w*(w + 2)/5
Suppose -92*b - 3*c - 15 = -88*b, 2*b - c - 15 = 0. What is p in 5/7*p**b + 16/7*p**2 + 2/7 + 13/7*p = 0?
-2, -1, -1/5
Factor -12 + 3 - 267*s - 46652*s**2 + 46742*s**2.
3*(s - 3)*(30*s + 1)
Let j = 113/5 - 22. Suppose 2*v + 2 = 3*g - 11*g, -5*v + 13 = 2*g. Factor 0*q**v + 6/5*q**4 - j*q**5 + 0 - 6/5*q**2 + 3/5*q.
-3*q*(q - 1)**3*(q + 1)/5
Let j = 485263/3 - 161750. Factor -10 - 1/3*d**2 + j*d.
-(d - 10)*(d - 3)/3
Suppose 174*s - 443 = 10 + 69. Factor 0 - 5/4*p**2 - 1/4*p**s + 0*p.
-p**2*(p + 5)/4
Solve 56/15*p**3 - 88/5*p + 44/15*p**2 + 2/15*p**4 + 54/5 = 0 for p.
-27, -3, 1
Let k = -120942 + 120962. Factor -23/2*f - k*f**2 - 3/2 + 8*f**3.
(f - 3)*(4*f + 1)**2/2
Let c(k) be the second derivative of -7*k**5/60 - 163*k**4/18 - 400*k**3/9 - 176*k**2/3 - 117*k + 6. Solve c(y) = 0 for y.
-44, -2, -4/7
Let l = 33083/148590 + -7/16510. Suppose -14/9*r**2 + 0*r + l*r**3 + 0 = 0. Calculate r.
0, 7
Let h be (-297)/324 + (-7)/84*-15. Let n(u) be the third derivative of 1/30*u**5 - h*u**3 + 12*u**2 - 1/420*u**6 + 1/84*u**4 + 0 + 0*u. Factor n(w).
-2*(w - 7)*(w - 1)*(w + 1)/7
Let j(k) = k**2 + 14*k + 46. Let c be j(-11). Factor 3*f**4 + 1002*f**2 - 97*f**3 - 227*f**3 + 678*f**2 - 400*f + c*f**4.
4*f*(f - 10)**2*(4*f - 1)
Let t be (-400)/4950*(-20 - 4). Let s(n) be the third derivative of -1/60*n**6 + 0*n + 44*n**2 + 0 - 6/55*n**5 + t*n**3 - 1/1155*n**7 - 4/33*n**4. Factor s(p).
-2*(p - 1)*(p + 4)**3/11
Suppose -50*w + 52*w**3 - 48 + 3 - 3 - 5*w**4 + 200*w**2 - 2*w**3 - 147 = 0. Calculate w.
-3, -1, 1, 13
Let h be (-2)/1 + (2 - (-1 + -2)). Suppose -112 = -h*x - x. Factor 9*q**2 + 13 - 10*q - 4*q**2 - x.
5*(q - 3)*(q + 1)
Suppose -18*p + 19*p = 222. Let t = 224 + -116. Find l, given that -5*l + 109*l**2 + t*l**2 + 10 - p*l**2 = 0.
-2, 1
Let z(l) = 2*l**3 + 3*l**2 - 7*l + 3. Let u be z(-4). Let t = -47 - u. Determine n so that -10 - 6*n**4 - 2*n**2 - 8 - 2*n**t - 60*n - 4*n**2 + 28*n**3 = 0.
-1, -1/3, 3
Solve 15/7*k - 12/7*k**2 - 3/7 = 0.
1/4, 1
Let l(o) be the first derivative of -5/6*o**6 + 5/2*o**4 + 5*o - 10/3*o**3 - 107 + o**5 - 5/2*o**2. Suppose l(c) = 0. Calculate c.
-1, 1
Let y(f) be the third derivative of -f**7/315 - 667*f**6/1260 - 8467*f**5/315 - 12305*f**4/63 - 4232*f**3/21 + 1146*f**2. Find d such that y(d) = 0.
-46, -3, -2/7
Let u = 776 - 740. Suppose 0 = -747*p + 756*p - u. Solve -1/3*z - 1/6*z**5 - 1/6*z**p + 0 + 1/6*z**2 + 1/2*z**3 = 0.
-2, -1, 0, 1
Let y(m) = m**3 + 21*m**2 + 23*m + 64. Let i be y(-20). Factor -18*r + 26*r + 19*r**2 - 31*r**2 + i*r**4.
4*r*(r - 1)**2*(r + 2)
Let u(p) be the second derivative of -1 - 3*p**3 + 60*p - 1/6*p**4 + 10*p**2. Factor u(r).
-2*(r - 1)*(r + 10)
Let b(f) be the first derivative of -14*f - 29 + 1/60*f**4 - 1/5*f**2 + 1/30*f**3. Let z(y) be the first derivative of b(y). Factor z(g).
(g - 1)*(g + 2)/5
Factor -3 - 1/5*j**2 + 8/5*j.
-(j - 5)*(j - 3)/5
Let v(s) be the second derivative of 2*s**6/135 - 197*s**5/90 + 49*s**4/18 - s**3 + 5*s**2 + 190*s. Let u(f) be the second derivative of v(f). Factor u(y).
4*(y - 49)*(4*y - 1)/3
Let n(k) = 19*k - 196. Let q be n(-6). Let y = q + 310. Factor 1/3 - 1/3*a**2 + y*a.
-(a - 1)*(a + 1)/3
Let y be 1 + 0 + (-4 - 66/(-11))/6. Factor 0 + 0*j + 28/3*j**4 + 20/3*j**2 + y*j**5 + 44/3*j**3.
4*j**2*(j + 1)**2*(j + 5)/3
Let b be (10*54/(-1170))/(4*5/(-40)). Factor b*o - 2/13*o**2 + 0 - 2/13*o**3.
-2*o*(o - 2)*(o + 3)/13
Let w be 7/(28/8) + 20. Suppose 0*t = -t + w. Find l, given that 18*l**5 - 2*l**3 - 6*l**4 - 17*l - 7*l + 8 + t*l**2 - 16*l**5 = 0.
-2, 1, 2
Let m(j) = -7*j**3 - j**2 + 31*j + 40. Suppose -3*a - 327 + 342 = 0. Let r(c) = -4*c**3 + 16*c + 21. Let h(w) = a*r(w) - 3*m(w). Find v such that h(v) = 0.
-5, -1, 3
What is s in 51/7*s**3 + 0*s - 9/7*s**4 - 30/7*s**2 + 0 = 0?
0, 2/3, 5
Let p(q) = 2*q**2 - 22*q - 64. Let x be p(14). Suppose -4*w - 4 = 4*g, -8 = 4*g + x*w - 15*w. What is c in 9/4 + 3/4*c**2 - 3/4*c**g + 15/4*c = 0?
-1, 3
What is p in -613134*p**3 - 15842424906*p + 2911512374 + 147168*p**3 - 148884750*p**2 + 616383942 - 475*p**4 - 11*p**4 = 0?
-959/3, 2/9
Let g(v) be the first derivative of -v**3/6 + 13*v**2/2 + 28*v - 370. Factor g(x).
-(x - 28)*(x + 2)/2
Suppose 1/10*z**3 + 193/10*z**2 + 4704/5*z + 4608/5 = 0. Calculate z.
-96, -1
Let c be 38/8 + (-115939)/(-7532) + -20. Factor c*s**5 - 11/7*s**4 - 39/7*s**3 + 0 - 2*s - 41/7*s**2.
s*(s - 14)*(s + 1)**3/7
Let s be 6 + 1 + -2 + 27. Determine p so that -2*p**3 - 3*p**5 - 2*p**5 + 33*p**4 + 6*p**5 + 0*p**5 - s*p**4 = 0.
-2, 0, 1
Let a(b) be the first derivative of 35/2*b**2 + 60*b + 19 + 5/3*b**3. Determine d, given that a(d) = 0.
-4, -3
Let k(t) = 13*t**3 + t**2. Let f be k(1). Factor -1457*h**2 + f + 1455*h**2 + 16*h + 4.
-2*(h - 9)*(h + 1)
Let d be 2 - ((-7)/5 + 1). Let j = -13166 - -65842/5. Factor d*m + 3/5*m**2 + j.
3*(m + 2)**2/5
Let w = 188 + -186. Factor w + 2 - 25*d - 14*d + 100*d**2 - d.
4*(5*d - 1)**2
Let h be ((-6)/(-11))/((-20)/(-330)) + -9. Factor -2/11*m**5 + 0*m**2 + 0*m - 6/11*m**3 + h - 8/11*m**4.
-2*m**3*(m + 1)*(m + 3)/11
Let a(u) = -2*u**4 - 14*u**3 + 21*u**2 + 39*u. Let v(o) = -o**4 - 13*o**3 + 22*o**2 + 38*o. Let r(p) = 10*a(p) - 15*v(p). Factor r(y).
-5*y*(y - 6)**2*(y + 1)
Let l be (-1 - -7) + 3304/(-8). Let b = -403 - l. Factor 6/5*c**2 - 3*c**b + 0*c - 9/5*c**3 + 0.
-3*c**2*(c + 1)*(5*c - 2)/5
Suppose 0 = -508*v + 509*v - 9. Suppose -w + 4*k - v*k = -12, 5*k - 16 = -3*w. Factor 0*q**w - 3/4*q + 1/2 + 1/4*q**3.
(q - 1)**2*(q + 2)/4
Let y(n) = n + 17. Let z be y(-17). Let k be 32/(-48) - 1/((-27)/30). Find d, given that 2/9*d**4 - 4/9*d + k*d**3 - 2/9 + z*d**2 = 0.
-1, 1
Factor 0*a + 2/5*a**4 - 74/5*a**3 - 76/5*a**2 + 0.
2*a**2*(a - 38)*(a + 1)/5
Suppose -94*j + 252 = 246*j - 428. Solve -6/5*z - 2/5*z**j - 4/5 = 0 for z.
-2, -1
Solve 12/5*l - 144/5 - 1/5*l**3 + 8/5*l**2 = 0 for l.
-4, 6
Let l(q) be the second derivative of 0*q**4 + 0*q**2 + 1/6*q**3 + 0 - 17*q - 1/20*q**5. Suppose l(f) = 0. Calculate f.
-1, 0, 1
Solve 992/7*n + 768/7 + 136/7*n**2 - 92/7*n**3 - 4/7*n**4 = 0.
-24, -2, -1, 4
Let p = 48276/21133 + 4/3019. Determine r so that -p*r - 2/7*r**2 - 8/7 + 2/7*r**4 + 10/7*r**3 - 2/7*r**5 = 0.
-1, 2
Let p(r) be the third derivative of 0 + 2/105*r**7 + 0*r**4 + 0*r**3 + 2*r**2 - 19/120*r**6 - 1/12*r**5 - 8*r. Factor p(o).
o**2*(o - 5)*(4*o + 1)
Let w be ((-21)/((-231)/(-44)))/(18/(-15)). Let j(x) be the first derivative of 11 - x**5 - 15/4*x**4 - w*x**3 + 0*x + 0*x**2. Suppose j(p) = 0. What is p?
-2, -1, 0
Let x(q) be the second derivative of -q**4/42 + 32*q**3/21 - 31*q**2/7 - 2*q + 736. Let x(b) = 0. Calculate b.
1, 31
Let r(n) = 2*n**2 + 10*n + 12. Suppose 20*u + 3 = 19*u, 0 = -j - 4*u - 16. Let b(s) = 3*s**2 + 12*s + 12. Let x(g) = j*b(g) + 5*r(g). Factor x(w).
-2*(w - 3)*(w + 2)
Let x(j) be the first derivative of 4*j**3/3 + 2432*j**2 - 6360. Factor x(r).
4*r*(r + 1216)
Solve -1046/11*s + 1048/11 - 2/11*s**2 = 0.
-524, 1
Let b(c) = -3*c**2 + 15*c - 6. Let o(k) = 23 - 14 - 8. Let h(j) = b(j) - 6*o(j). Factor h(n).
-3*(n - 4)*(n - 1)
Let u be (4878/(-5691))/((-6)/56). Solve 20/3*b**4 + 0 - 8/3*b - 12*b**2 + u*b**3 = 0 for b.
-2, -1/5, 0, 1
Let k(c) be the third derivative of -64*c**5/45 - 680*c**4/3 - 14450*c**3 + 10*c**2 + 51. Factor k(b).
-4*(8*b + 255)**2/3
Let i(x) be the first derivative of -48 - 1/6*x**3 - 1/4*x**2 + 6*x. Determine a, given that i(a) = 0.
-4, 3
Let g(x) = -7*x**4 - 427*x**3 - 1771*x**2 - 1797*x. Let m(y) = -4*y**4 + y**3 + 3*y**2 + y. Let z