third derivative of -x**6/180 + x**5/10 - 67*x**3/6 - 16*x**2. Let y(r) be the first derivative of g(r). Factor y(l).
-2*l*(l - 6)
Factor -38/3*i**2 + 200/9 + 4/9*i**3 + 38*i.
2*(i - 25)*(i - 4)*(2*i + 1)/9
Let y(q) be the third derivative of -7*q**5/40 + 33*q**4 - 225*q**3/4 - 1780*q**2. Let y(f) = 0. Calculate f.
3/7, 75
Let v(j) = j**3 - 19*j**2 - 14*j - 101. Let c be v(20). Suppose 3*o = -b - 0*o - 12, -2*b - c = 5*o. Factor -4/9*f**b - 100/3*f + 20/3*f**2 + 500/9.
-4*(f - 5)**3/9
Let x(i) be the third derivative of 3*i**7/560 + 21*i**6/320 + 7*i**5/60 + i**4/16 - 3*i**2 - 806. Let x(c) = 0. What is c?
-6, -2/3, -1/3, 0
Suppose l = -2*r + 2*l + 587, 4*l - 886 = -3*r. Let c be 2/r*21*(-7)/(-3). Find s such that -1/3*s**2 + s**3 + 0*s - s**4 + c*s**5 + 0 = 0.
0, 1
Suppose 21 = -43*z + 193. Let s(p) be the first derivative of 3/10*p**2 - 25 + 4/5*p**3 - 2/5*p + 7/20*p**z. Factor s(h).
(h + 1)**2*(7*h - 2)/5
Suppose 2*f - 4 - 2 = 0. Suppose -f*g = 2*j - 0*g - 25, g - 27 = -2*j. Factor 16 - 4*t**2 + 21*t - j*t + 5*t.
-4*(t - 4)*(t + 1)
Let 0 - 1573538/7*b - 2/7*b**3 + 3548/7*b**2 = 0. What is b?
0, 887
Find b, given that 11776*b + 18387*b - 2*b**2 - 4135688 - 24411*b = 0.
1438
Let n(y) = 2*y - 24. Let o be n(12). Suppose o = 4*x + 5*x - 1800. Let r + 26*r + x + 9*r + 4*r + 2*r**2 = 0. What is r?
-10
Suppose 0 = 3*g - 4*r - 28, 30*g - 4*r - 28 = 39*g. Factor g + 12/7*z - 8/7*z**3 + 46/7*z**2.
-2*z*(z - 6)*(4*z + 1)/7
Suppose -3*v + 15 = -33. Let o be v/48 - 44/(-3). Suppose -o*s + 0*s + 2*s**4 - 35*s**2 + 23*s**4 - 11*s**3 + 10 + 26*s**3 = 0. What is s?
-1, 2/5, 1
Let q(g) be the first derivative of -16 + 0*g**2 + 0*g - 1/5*g**5 + 3*g**3 + 3/4*g**4 - 1/18*g**6. Solve q(t) = 0 for t.
-3, 0, 3
Suppose -2915 + 2915 = 72*d. Factor -10*l**2 + 165/4*l**3 + 0 - 5*l**4 + d*l.
-5*l**2*(l - 8)*(4*l - 1)/4
Let m be 26/5 - 2 - (4 + -3*(-76)/(-57)). Suppose 2/5*b**2 - m*b + 14/5 = 0. Calculate b.
1, 7
Suppose 0 = 2*k - 4*q - 164, -5*k - 2*q + 396 = 2*q. Suppose 62*y = 67*y - k. Factor 12*x**2 + 81*x + 2*x**4 + 57 - 16*x**3 - 17*x + y*x - 7.
2*(x - 5)**2*(x + 1)**2
Let f = -488955 + 9290147/19. Factor -4/19*y**2 + 18/19 + f*y**4 - 8/19*y**3 + 24/19*y.
2*(y - 3)**2*(y + 1)**2/19
Let g(u) be the second derivative of -u**7/630 - 7*u**6/90 + 2*u**4/3 - u**3/3 - 2*u - 12. Let x(b) be the third derivative of g(b). Factor x(i).
-4*i*(i + 14)
Let v(n) be the first derivative of 2*n**3/33 - 1018*n**2/11 + 2034*n/11 - 2421. What is f in v(f) = 0?
1, 1017
Let v(r) be the second derivative of -r**4/15 + 52*r**3/3 + 1493*r. What is k in v(k) = 0?
0, 130
Suppose 57*c + 2*b - 32 = 52*c, -14 = -2*c - b. Factor 16*q - 1/2*q**c - 3*q**2 - 7/2*q**3 + 16.
-(q - 2)*(q + 1)*(q + 4)**2/2
Factor -55*q**2 - 43*q**2 - 39*q + 597*q - 105*q**3 - 94*q**2 + 107*q**3.
2*q*(q - 93)*(q - 3)
Let c = -37911/161 + 5429/23. Factor -15/7*w + 4/7 - c*w**2.
-(w + 4)*(4*w - 1)/7
Let g(t) = -24*t - 116. Let j be g(-5). Suppose 5*o**j - 1423*o**3 + 9*o**2 + 7*o**2 - 6*o**2 + 1438*o**3 = 0. What is o?
-2, -1, 0
Let q(s) be the first derivative of -3*s**6/4 + 44*s**5/5 + 353*s**4/8 + 154*s**3/3 + 13*s**2 - 1515. Solve q(o) = 0 for o.
-2, -1, -2/9, 0, 13
Let f(u) be the first derivative of 7*u**5/25 + 89*u**4/20 - 487*u**3/5 + 887*u**2/2 - 230*u + 4352. Solve f(r) = 0 for r.
-23, 2/7, 5
Let k(s) be the third derivative of s**5/630 - 419*s**4/252 + 418*s**3/63 - 186*s**2 + 2*s. Factor k(r).
2*(r - 418)*(r - 1)/21
Let m(i) be the second derivative of -i**7/5460 + i**6/260 - 9*i**5/260 + 9*i**4/52 - 19*i**3/3 - 35*i. Let y(d) be the second derivative of m(d). Factor y(b).
-2*(b - 3)**3/13
What is k in 28*k - 1254 - 55608*k**2 - 2*k + 55609*k**2 + 9*k = 0?
-57, 22
Let c(q) = q**3 + 79*q**2 + 72*q + 3. Let b(i) = -2*i**3 - 234*i**2 - 216*i - 8. Let y(j) = 3*b(j) + 8*c(j). Factor y(p).
2*p*(p - 36)*(p + 1)
Let j(v) be the first derivative of v**7/210 - 83*v**3/3 + 20. Let a(k) be the third derivative of j(k). What is s in a(s) = 0?
0
Let t be (-2)/10 + 4171/(-388). Let y = t - -47/4. Find z, given that 1/5*z**2 - y + 3/5*z = 0.
-4, 1
Let y(b) = -4*b + 4. Let f(g) = -3*g + 3. Let x(t) = -5*f(t) + 4*y(t). Let h(q) = -q**2 - 8*q + 13. Let c(p) = -2*h(p) + 14*x(p). Suppose c(w) = 0. What is w?
-3, 2
Suppose 4403 + 5600*c + 4598 - 3469 + 2468 + 12*c**3 + 500*c**2 = 0. What is c?
-20, -5/3
Let r(j) = j**5 - j**4 + 3*j**2. Let f(c) = 128*c**5 - 568*c**4 - 1556*c**3 + 6336*c**2 + 11680*c + 4800. Let o(u) = -f(u) + 28*r(u). What is s in o(s) = 0?
-3, -4/5, 5
Suppose 247 = 9*z - 149. Factor 4*u - 96*u**3 + z*u**3 + 48*u**3.
-4*u*(u - 1)*(u + 1)
Let t(a) = a**2 - 42*a + 2. Let h(m) = 5*m**2 - 5095*m - 9310. Let w(b) = h(b) - 10*t(b). Find s such that w(s) = 0.
-933, -2
Let -113*o - 13*o + 12*o - 7482 + 7599 - 3*o**2 = 0. What is o?
-39, 1
Solve 97/3*x**3 + 22/3*x**4 + 10 + 158/3*x**2 + 113/3*x = 0 for x.
-3/2, -1, -10/11
Let a = 187015/3 + -62331. Solve -1/3*s**4 - 8/3*s**3 - 8*s - a*s**2 - 3 = 0 for s.
-3, -1
Let v(x) be the third derivative of x**5/150 + 31*x**4/90 - 57*x**3/5 + 3886*x**2. Let v(z) = 0. What is z?
-27, 19/3
Suppose -2333140*b + 2333080*b + 120 = 0. Factor 0 + 7/2*x**b + 4*x - 1/2*x**3.
-x*(x - 8)*(x + 1)/2
Factor 764/3*h - 4/3*h**2 + 0.
-4*h*(h - 191)/3
Factor 50 + 3*o**3 + 942*o + 159*o**2 - 1151 - 3.
3*(o - 1)*(o + 8)*(o + 46)
Find g such that -5/8*g**3 + 13 + 31/4*g - 47/8*g**2 = 0.
-52/5, -1, 2
Let o be (-88150)/(-28875) - 6/63. Let m = 34/11 - o. Factor 2/15*i + m*i**4 + 0 + 2/5*i**3 + 2/5*i**2.
2*i*(i + 1)**3/15
Let q(s) be the first derivative of -1/4*s**4 + 70 + 1/15*s**5 + 1/2*s**2 + 0*s - 1/9*s**3. Let q(w) = 0. Calculate w.
-1, 0, 1, 3
Let z(w) be the third derivative of -w**7/945 + 67*w**6/135 - 8978*w**5/135 - 7*w**2 - 8*w. Factor z(a).
-2*a**2*(a - 134)**2/9
Let j(u) be the first derivative of u**6/1260 - u**5/42 - 59*u**3/3 - 51. Let f(s) be the third derivative of j(s). Factor f(c).
2*c*(c - 10)/7
Determine g, given that 216*g**3 + 3*g**4 + 1746*g**2 + 87777 - 177*g - 92502 + 2937*g = 0.
-63, -5, 1
Let c(s) = 43*s - 203. Let l be c(5). What is m in 5*m - 37*m**2 + 9*m**2 + l*m**2 + 12*m**2 - m = 0?
0, 1
Let v(c) be the second derivative of c**7/147 - 2*c**6/35 + c**5/35 + 10*c**4/21 - 9*c**3/7 + 10*c**2/7 - c - 833. Factor v(k).
2*(k - 5)*(k - 1)**3*(k + 2)/7
Determine k, given that 540*k + 2142*k**3 - 3252*k**2 + 5368*k**4 - 147*k**5 + 1184*k**4 + 765*k**3 = 0.
-1, 0, 2/7, 45
Let f be (-144)/(-56)*7/(-3)*-21. Suppose 28*o - f = -14*o. Factor 2/3 + 5/3*y + 4/3*y**2 + 1/3*y**o.
(y + 1)**2*(y + 2)/3
Factor 2/9*a**3 - 26/9*a**2 + 0 + 8*a.
2*a*(a - 9)*(a - 4)/9
Let s(c) be the second derivative of -c**5/40 - 55*c**4/12 - 728*c**3/3 + 1568*c**2 + 3327*c. Suppose s(g) = 0. Calculate g.
-56, 2
Let k(d) be the second derivative of -2/9*d**3 - 2/15*d**5 - 17/54*d**4 + 10*d + 0 + 0*d**2. Factor k(s).
-2*s*(3*s + 2)*(4*s + 3)/9
Let a(h) = -755 + 31*h**3 - 126*h**3 - 3095*h**2 - 3395*h - 255*h**3. Let w(x) = -29*x**3 - 258*x**2 - 283*x - 63. Let m(p) = 3*a(p) - 35*w(p). Factor m(o).
-5*(o + 1)*(o + 6)*(7*o + 2)
Determine i, given that -5124/5*i**4 - 147/5*i**5 + 11439/5*i**3 + 0 + 1776/5*i - 7944/5*i**2 = 0.
-37, 0, 4/7, 1
Let s(l) = 5*l**3 - 79*l**2 + 284*l + 852. Let j(i) = 5*i**3 - 80*i**2 + 275*i + 850. Let h(o) = -6*j(o) + 5*s(o). Solve h(g) = 0 for g.
-2, 7, 12
Let l(u) be the third derivative of -u**7/840 - u**6/8 - 7*u**5/5 - 41*u**4/6 - 18*u**3 + u**2 + 288*u - 5. Factor l(x).
-(x + 2)**3*(x + 54)/4
Let s(d) = -5*d**4 + 25*d**3 - 5*d**2 - d + 6. Let u(w) = -4*w**4 + 18*w**3 - 4*w**2 + 5. Let z(q) = 3*s(q) - 4*u(q). Solve z(l) = 0.
-2, -1, 1
Factor -255*u**2 + 142*u**2 + 118*u**2 + 100*u.
5*u*(u + 20)
Let r(u) = -21*u**2 + 23*u - 5. Let m(a) = 5*a - 31. Let z(n) = n**2 - n + 8. Let f(h) = -m(h) - 4*z(h). Let g(j) = 15*f(j) - 3*r(j). Factor g(p).
3*p*(p - 28)
Let h = -275 + 277. Solve 5*j**3 + 12*j**h - 9 + 18*j + 19 + 7*j + 8*j**2 = 0 for j.
-2, -1
Suppose -1119*j = -1213*j + 188. Factor 0 - 3/2*z**j + 27/4*z**5 + 0*z + 15/4*z**3 + 12*z**4.
3*z**2*(z + 1)**2*(9*z - 2)/4
Let s(a) be the third derivative of a**7/840 - 301*a**6/480 - 151*a**5/120 - 1742*a**2. Factor s(c).
c**2*(c - 302)*(c + 1)/4
Let s(r) = 8*r**3 + 64*r**2 + 66*r. Let p(c) be the second derivative of 39*c**5/20 + 107*c**