*u**2.
5*u**2*(u + 14)
Let s(b) be the second derivative of b**10/10584 + b**9/52920 + 83*b**4/6 - 43*b. Let t(c) be the third derivative of s(c). Determine o, given that t(o) = 0.
-1/10, 0
Let -t**4 - 104/7 + 58/7*t**3 + 242/7*t + 411/7*t**2 = 0. Calculate t.
-4, -1, 2/7, 13
Factor 34*i - 135/4 - 1/4*i**2.
-(i - 135)*(i - 1)/4
Suppose -2*t - 25 = -7. Let x be 12/(-4) + (t/3 - -15). Factor o**5 + 6 + 6*o**4 - 4 + 14*o**3 + x*o + 5*o**2 + 11*o**2.
(o + 1)**4*(o + 2)
Find i such that -171/7 + 60/7*i - 1/7*i**2 = 0.
3, 57
Suppose -5*u + 134 = 104. Let r be 34/(-85) + (-24)/(-10). Determine c, given that -8*c**r + 10*c**4 + 2*c - 12*c**3 + 0*c**5 - 2*c**5 + u*c + 8*c = 0.
-1, 0, 2
Let x(q) = -13*q**5 - 25*q**4 + q**3 + 17*q**2 - 8. Let g(m) = -145*m**5 - 275*m**4 + 10*m**3 + 185*m**2 - 90. Let c(n) = 4*g(n) - 45*x(n). Factor c(d).
5*d**2*(d - 1)*(d + 1)*(d + 5)
Let y(c) = 7*c**2 - 57*c + 12. Let l be y(8). Let k(r) be the third derivative of 5/2*r**3 - 1/6*r**5 + 0*r + 25/24*r**l + 0 + 6*r**2. Factor k(s).
-5*(s - 3)*(2*s + 1)
Let y(u) be the third derivative of 7/3*u**3 + 0 + 21*u**2 + 0*u - 1/60*u**5 + 5/24*u**4. Factor y(l).
-(l - 7)*(l + 2)
Let i(j) = 5*j**2 + 2*j - 100. Let n(y) be the third derivative of y**5/6 + 5*y**4/24 - 100*y**3/3 - 16*y**2 - 4*y. Let d(s) = -5*i(s) + 3*n(s). Factor d(h).
5*(h - 4)*(h + 5)
Suppose -20*b + 14*b = 24. Let v(a) = -a**4 - 3*a**3 + 12*a**2 - 8*a - 22. Let i(t) = t**2 - t - 2. Let o(n) = b*v(n) + 44*i(n). Solve o(g) = 0 for g.
-3, -1, 0, 1
Let k(m) be the second derivative of m**6/10 + 27*m**5/20 + 2*m**4 + 1467*m. Factor k(g).
3*g**2*(g + 1)*(g + 8)
Let q(n) be the second derivative of n**5/10 - 7*n**4/3 + 59*n**3/3 - 70*n**2 + 738*n. Factor q(a).
2*(a - 7)*(a - 5)*(a - 2)
Suppose -4*w - 43 + 23 = 0. Let v be 1/(((-15)/9)/w). Factor 8/9*c + 0 + 2/9*c**v + 8/9*c**2.
2*c*(c + 2)**2/9
Let n(t) be the third derivative of t**6/30 - 88*t**5/15 + 2*t**2 - 706. Suppose n(o) = 0. What is o?
0, 88
Let x(t) be the first derivative of -t**6/2160 - t**5/72 - t**4/16 - 26*t**3/3 - 80. Let z(c) be the third derivative of x(c). Factor z(n).
-(n + 1)*(n + 9)/6
Let l(q) be the first derivative of 2*q**2 + 8/3*q**3 - 22 + 1/5*q**5 + 5/4*q**4 + 0*q. Determine h so that l(h) = 0.
-2, -1, 0
Let p(d) be the first derivative of d**5 + 0*d - 5/3*d**3 + 5 + 5*d**2 - 15/4*d**4 + 5/6*d**6. Factor p(u).
5*u*(u - 1)**2*(u + 1)*(u + 2)
Factor -613 + 2*r**2 + 1261 + 113*r + 182 - 581*r + 1010.
2*(r - 230)*(r - 4)
Let m(l) be the third derivative of -41*l**2 + 0*l**4 + 2*l + 0 + 0*l**3 + 1/30*l**6 - 2/3*l**5. Determine o so that m(o) = 0.
0, 10
Let b(a) = -14*a**2 - 491*a - 1300. Let s(j) = -45*j**2 - 1570*j - 4160. Let f(p) = -35*b(p) + 11*s(p). Suppose f(l) = 0. What is l?
-13, -4
Let u be ((-24)/10)/(-1*2/5). Let y be (4/(-10))/(u/(-30)). Factor 9*n**4 - 8*n**y + 31*n - 16*n - n**4 - 17*n + 2*n**3.
2*n*(n - 1)*(n + 1)*(4*n + 1)
Let k(m) be the first derivative of -2*m**3/3 + 22*m**2 - 42*m + 2050. Let k(y) = 0. What is y?
1, 21
Let h(n) = -5*n**2 - 18*n + 6. Let u be ((-111)/222)/(2/8). Let r(w) = w. Let o = -35 - -25. Let s(j) = o*r(j) + u*h(j). Factor s(a).
2*(a + 3)*(5*a - 2)
Let q = 16/37 - 27/148. Let y(x) be the second derivative of 0 - 15*x - 3/2*x**3 + q*x**4 - 6*x**2. What is p in y(p) = 0?
-1, 4
Suppose 0 - 1/2*h**4 + 225*h - 285/2*h**2 + 16*h**3 = 0. Calculate h.
0, 2, 15
Let n = 655571 + -655568. Factor -6/5*b**2 - 1/10*b**n - 11/10*b + 0.
-b*(b + 1)*(b + 11)/10
Let p(g) be the third derivative of -g**7/12600 + 13*g**6/3600 - g**5/20 + 95*g**4/12 + 141*g**2. Let n(i) be the second derivative of p(i). Factor n(f).
-(f - 10)*(f - 3)/5
Let r(l) be the third derivative of -l**7/210 + 11*l**6/120 - 11*l**5/60 - 59*l**4/24 - 6*l**3 - 3510*l**2. Let r(u) = 0. What is u?
-1, 4, 9
Let o(a) be the first derivative of -a**6/6 - 3*a**5/5 + 9*a**4/4 + 23*a**3/3 + 6*a**2 + 978. Factor o(v).
-v*(v - 3)*(v + 1)**2*(v + 4)
Suppose 10 = 5*o - 5. Let n = 1423 + -1421. Factor 9*m**4 - 15*m**4 + 5*m**5 - 9*m**4 - 5*m**n + 15*m**o.
5*m**2*(m - 1)**3
Suppose 5*m + 25 = 5*q, 2*q - 6*q - 1 = 3*m. Let j(l) be the second derivative of -22*l - 1/3*l**3 + 0 + 1/18*l**4 + 0*l**q. Factor j(a).
2*a*(a - 3)/3
Let f = 3147 - 3144. Let r(y) be the second derivative of 1/16*y**4 + f*y + 0 - 1/2*y**2 - 1/20*y**5 + 1/6*y**3 + 1/120*y**6. Factor r(h).
(h - 2)**2*(h - 1)*(h + 1)/4
Let z(c) = -20*c - 7. Let y be 2/(-7) + 68/(-7) + 2. Let s be z(y). Determine p, given that 11*p**3 - 104*p + s*p**2 + 16 + 87*p**3 - 13*p**2 = 0.
-2, 2/7
Let s be -2*15/(-1) - 26/(-208)*80. Suppose 7*u**3 + s*u**2 + 100/3*u + 1/3*u**4 + 0 = 0. What is u?
-10, -1, 0
Let i(p) = -27*p**3 + 2577*p**2 + 2213647*p + 633839779. Let u(t) = 7*t**3 - t. Let c(z) = -i(z) - 4*u(z). Suppose c(r) = 0. What is r?
-859
Let n(p) be the second derivative of -2*p**7/315 - 23*p**6/225 - 11*p**5/75 + 77*p**4/90 - 2*p**3/3 + 1986*p. Suppose n(t) = 0. Calculate t.
-10, -3, 0, 1/2, 1
Let c(f) be the first derivative of 5*f**4/4 + 5*f**3/3 - 6902. Factor c(d).
5*d**2*(d + 1)
Let k(g) be the first derivative of 7/60*g**3 - 1/600*g**5 + 1/40*g**4 + 9/2*g**2 + 0*g - 9. Let x(m) be the second derivative of k(m). Factor x(v).
-(v - 7)*(v + 1)/10
Let v = 8 + -8. Suppose v = u + 4*b - 33, 3*u - 90 = -u + 5*b. Solve 13*t - 4*t**2 + 11*t**2 - 20*t**3 + u*t**2 + 3*t = 0.
-2/5, 0, 2
Suppose -o - 11*u - 10*u - 3 = -19*u, 4*u + 8 = 0. Find h such that 27/2*h + 7*h**2 - o = 0.
-2, 1/14
Factor -109*r**2 - 27*r**2 + 26*r**3 - 107*r**2 - 57*r**2 - 27*r**3.
-r**2*(r + 300)
Let v(k) be the third derivative of -k**7/525 - 427*k**6/300 - 17*k**5/2 - 1273*k**4/60 - 424*k**3/15 + 59*k**2 + 3. Find x, given that v(x) = 0.
-424, -1
Let q be (-3350)/(-14) + ((-320)/(-112))/(-10). Solve -225 + 25*w - q*w - 58*w**2 - 41*w + w**5 + 31*w**4 + 265*w**3 - 11*w**3 + 252*w**2 = 0.
-15, -1, 1
Let f be (-8)/(-20)*(-430)/(-731). Solve 0 - f*b - 2/17*b**2 = 0.
-2, 0
Factor -1773*o - 343*o - 268*o - 376*o - 476100 - 4*o**2.
-4*(o + 345)**2
Let d(n) = -n**3 - 17*n**2 - 115*n - 2392. Let b be d(-18). What is q in 0 + 10/7*q**3 + 6/7*q + 2/7*q**4 + b*q**2 = 0?
-3, -1, 0
Let y = -48 - -52. Suppose -3*i - y = -4*s - 0*i, 28 = 4*s + 3*i. Suppose -v**5 - 19*v**3 + 2*v**s - 3*v - v**4 - v**2 + 22*v**3 + v = 0. Calculate v.
-1, 0, 1, 2
Let x(i) be the second derivative of i**4/30 + 244*i**3/5 + 133956*i**2/5 + i + 331. Factor x(r).
2*(r + 366)**2/5
Let d(w) be the second derivative of 2*w**6/15 - 11*w**5/5 + 10*w**4 + 64*w**3/3 - 320*w**2 - 272*w. Factor d(p).
4*(p - 5)*(p - 4)**2*(p + 2)
Suppose -7*n = 5*n + 528. Let b be (96/n - -2) + (-756)/(-770). Let -b*o**3 + 2/5*o**4 + 0*o + 0 + 2/5*o**2 = 0. What is o?
0, 1
Suppose 5*q + 6*q = -22*q + 165. Let z(i) be the third derivative of 0 + 5/9*i**4 - 11/90*i**q + 0*i + 4/9*i**3 - 9*i**2. Determine x, given that z(x) = 0.
-2/11, 2
Let g(d) be the first derivative of 11 + 0*d**2 - 1/3*d**3 + 16*d + 1/12*d**4. Let z(t) be the first derivative of g(t). Let z(q) = 0. Calculate q.
0, 2
Let l = -2213084/7 - -316156. What is o in -l*o + 4/7*o**4 + 8/7*o**3 - 4/7*o**2 + 0 = 0?
-2, -1, 0, 1
Suppose l - 2*h = -0 - 6, 0 = 2*l + 5*h - 15. Suppose 2*a - 86 = 126*n - 134*n, -30 = -3*n. Determine w, given that l - 3*w + 3/2*w**a + 3/2*w**2 = 0.
-2, 0, 1
Let o = -16 + 18. Let c be 1/(-1*(-85)/130 - 44/286). Factor o*h + 8/3*h**3 - 14/3*h**c + 0.
2*h*(h - 1)*(4*h - 3)/3
Let z(b) be the second derivative of -b**5/120 + 19*b**4/72 + 11*b**3/6 - 50*b + 10. Determine y, given that z(y) = 0.
-3, 0, 22
Let z(d) be the third derivative of 9*d**8/112 + 12*d**7/5 + 1081*d**6/40 + 261*d**5/2 + 351*d**4/2 + 108*d**3 + 3856*d**2. Solve z(y) = 0.
-6, -1/3
Suppose -2*m + 4*p = -82, 5*m + 25*p - 229 = 27*p. Solve -27*x**2 - 22*x**2 + m*x**2 + 2*x + 4 = 0 for x.
-1, 2
Suppose 0 = -4*l + 2*o - 6*o + 20, -3*l = 4*o - 14. Suppose -l*x + 2*x = -8. Solve -x*m**2 - 2*m**4 + 0*m**2 + m + 6*m**3 - 4*m**2 + m = 0.
0, 1
What is q in 0 - 34/7*q**5 - 38*q**3 + 36/7*q**2 + 0*q - 48*q**4 = 0?
-9, -1, 0, 2/17
Suppose -39*l + 10/3*l**2 - 1/12*l**3 + 108 = 0. What is l?
4, 18
Let n(x) be the second derivative of x**6/60 + 9*x**5/40 + x**4 + 5*x**3/3 + 78*x - 3. Solve n(z) = 0 for z.
-5, -2, 0
Let m(u) be the second derivative of 2*u**7/63 - 41*u**6/135 - 24