7/945 - 107*p**6/540 + 376*p**5/135 - 77*p**4/9 + 32*p**3/3 + 1844*p**2. Let z(h) = 0. What is h?
-8, 1/2, 1, 6
Let 1/8*t**4 + 0 - 1/4*t**5 + 11/8*t**2 + 3/8*t + 11/8*t**3 = 0. What is t?
-1, -1/2, 0, 3
Solve 411/4*t + 0 + 1/4*t**2 = 0 for t.
-411, 0
Let v(j) be the third derivative of -j**7/1470 + 13*j**6/168 - 159*j**5/70 - 119*j**4/6 - 1156*j**3/21 - 2245*j**2. Factor v(l).
-(l - 34)**2*(l + 1)*(l + 2)/7
Determine o, given that 0*o**5 + 3*o**5 + 69*o**3 + 2432414*o**2 - 2432387*o**2 - 27*o**4 + 324 - 324*o = 0.
-2, 2, 3
Let i(c) = c**2 + 46*c + 39. Let u(a) = -2*a**2 - 98*a - 81. Let f(z) = 15*i(z) + 6*u(z). Factor f(p).
3*(p + 1)*(p + 33)
Let f(z) be the first derivative of 3*z**4/16 + 3143*z**3/4 + 7413549*z**2/8 + 7404123*z/4 - 5789. Factor f(t).
3*(t + 1)*(t + 1571)**2/4
Suppose -4*k = 0, -2*s + 5*k - 21 = -25. Find q such that 0*q**2 + 443 - 439 - q**s = 0.
-2, 2
Suppose 610*r - 655*r = -270. Solve -57/2*w - r*w**3 - 57/2*w**2 + 9 = 0 for w.
-3, -2, 1/4
Let q(t) = -71*t**2 + 2*t + 14. Let d(v) = 247*v**2 - 7*v - 43. Let m(p) = 2*d(p) + 7*q(p). Factor m(b).
-3*(b - 2)*(b + 2)
Let d = 4502 + -4499. Let l(q) be the third derivative of 0 + 0*q + 0*q**d - 26*q**2 - 3/100*q**6 - 1/20*q**4 - 3/50*q**5 - 1/175*q**7. Solve l(a) = 0 for a.
-1, 0
Let -51/4*v**2 + 162 - 45/2*v + 3/4*v**3 = 0. What is v?
-4, 3, 18
Let t = 502 + -496. Factor l**2 + 9962 + t*l - 18*l - 9935.
(l - 9)*(l - 3)
Let i(g) be the first derivative of -4*g**3/3 - 792*g**2 - 1580*g + 3285. Factor i(h).
-4*(h + 1)*(h + 395)
Let i(k) = -3*k**5 + 24*k**4 + 37*k**3 + 20*k**2 + 4*k. Let o(b) = -17*b**5 + 121*b**4 + 183*b**3 + 100*b**2 + 22*b. Let q(h) = 33*i(h) - 6*o(h). Factor q(w).
3*w**2*(w + 1)**2*(w + 20)
Factor 3/4*k**3 + 1977/4*k - 369 - 126*k**2.
3*(k - 164)*(k - 3)*(k - 1)/4
Let n be ((-10)/5)/((-6)/2). Let q = -2352 + 7064/3. Find i such that n*i**2 - q*i + 8/3 = 0.
2
Factor -26 - 27 + 183*j**2 - 100*j - 34 - 185*j**2 - 11.
-2*(j + 1)*(j + 49)
Let i(o) be the first derivative of 5/4*o**4 + 177 - 20/3*o**3 + 0*o**2 + 0*o. What is h in i(h) = 0?
0, 4
Solve 275/4*j**3 + 15 - 795/4*j**2 + 115*j = 0.
-6/55, 1, 2
Let q = 603616 + -603610. Factor 0 + q*x + 3/2*x**3 - 15/2*x**2.
3*x*(x - 4)*(x - 1)/2
Let z = 17812 + -17810. Let n(d) be the second derivative of 8/7*d**3 + 0*d**4 + 32/7*d**z + 0 - 1/35*d**5 + 13*d. Factor n(c).
-4*(c - 4)*(c + 2)**2/7
Let c(o) be the third derivative of -o**8/168 + 4*o**7/105 + 3*o**6/10 - 4*o**5/3 - 113*o**4/12 - 20*o**3 - 5*o**2 - 111*o. Solve c(h) = 0.
-3, -1, 4, 5
Let m(f) be the third derivative of f**5/84 - 229*f**4/168 - 23*f**3/21 + 45*f**2. Factor m(s).
(s - 46)*(5*s + 1)/7
Let f(q) = 4*q**4 - 83*q**3 - 196*q**2 + 625*q - 329. Let h(m) = m**3 - 3*m - 1. Let t(n) = f(n) + 7*h(n). Factor t(z).
4*(z - 21)*(z - 1)**2*(z + 4)
Let d(o) be the second derivative of o**6/4140 - o**5/69 + 25*o**4/69 + 31*o**3/6 - 6*o. Let t(r) be the second derivative of d(r). What is y in t(y) = 0?
10
Let z be (-21 - 2805/(-136))*-4. Let m(t) be the second derivative of -3*t**2 - 17*t + 1/2*t**4 - z*t**3 + 0. Factor m(s).
3*(s - 2)*(2*s + 1)
Let x(n) = 74*n**2 + 32*n - 204. Let j(z) = -4*z**2 + z + 2. Let q(w) = 36*j(w) + 2*x(w). Solve q(h) = 0.
-28, 3
Let y(p) = p**2 + 12*p + 60. Let h be y(-7). Suppose -h - 10*q**2 + 4*q**5 - 36 + 61 - 14*q**4 - 28*q**3 = 0. Calculate q.
-1, -1/2, 0, 5
Let c(z) be the first derivative of 14/25*z**5 - 48/5*z**2 + 58 + 32/5*z - 64/15*z**3 + 6/5*z**4. What is m in c(m) = 0?
-2, 2/7, 2
Suppose -27*g + 37 = -17. Determine o, given that 7744*o - 8*o**2 - 49*o**g + 4*o**3 - 295*o**2 = 0.
0, 44
Let y(j) = j**3 - 4*j**2 + 3*j + 47. Let i be y(14). Let t = i + -14328/7. Suppose t + 3*c**2 + 33/7*c + 3/7*c**3 = 0. Calculate c.
-5, -1
Let o(j) = -j**5 - j**4 + 2*j**2 + 2*j + 1. Let d(t) = 60*t**5 + 45*t**4 - 40*t**3 - 110*t**2 - 110*t - 55. Let g(s) = d(s) + 55*o(s). Let g(n) = 0. What is n?
-2, 0, 4
What is n in -n**2 - 12 - 31/3*n = 0?
-9, -4/3
Let h(v) be the first derivative of 42*v + 172*v**4 + 22*v - 96*v**2 + 9 - 36*v**5 - 150*v**3 - 42*v**3. Find n such that h(n) = 0.
-2/5, 2/9, 2
Find k, given that -389*k**3 + 750*k**4 - 5124*k + 5486*k**3 + 27*k**5 - 1926*k**2 + 92 + 1084 = 0.
-14, -1, 2/9, 1
Let n(k) be the second derivative of 0 - 209*k + 6*k**2 - 1/2*k**4 + 1/20*k**5 + 5/6*k**3. Factor n(d).
(d - 4)*(d - 3)*(d + 1)
Factor -24*w**2 + 25*w**2 - 452*w - 3*w**2 + 4*w**2 - 454.
2*(w - 227)*(w + 1)
Let g(o) be the third derivative of o**7/105 - o**6/10 + 3*o**5/10 - o**4/3 + 652*o**2. Solve g(d) = 0 for d.
0, 1, 4
Suppose -19*t + 36 = 4 - 25. Let v(l) be the second derivative of 0 - 2/3*l**2 - 1/9*l**t + 1/18*l**4 + 11*l. Determine m so that v(m) = 0.
-1, 2
Let f = -4264849/9 + 473873. Suppose -4/3*a + f*a**2 + 4/3*a**3 + 2/9 - 10/9*a**4 = 0. What is a?
-1, 1/5, 1
Let x be 6/24 - (-3)/(-12)*-11. Let u be -4 - ((-72)/3)/x. Factor -6 + 2 + 12 - u*a - 4*a**2.
-4*(a - 1)*(a + 2)
Let u(d) be the third derivative of 1/210*d**5 + 0*d - 46*d**2 + 13/84*d**4 + 0 + 22/21*d**3. Factor u(w).
2*(w + 2)*(w + 11)/7
Let j = -37005 - -37007. Factor -1/3*l**3 + 1/3*l + 4/3 - 4/3*l**j.
-(l - 1)*(l + 1)*(l + 4)/3
Let v(s) = 11923*s - 59615. Let a be v(5). Let 2/3*q**3 - 1/6*q**4 + 0*q + a + 5/6*q**2 = 0. What is q?
-1, 0, 5
Let -162/7*f**2 + 210*f - 3550/7 + 2/7*f**3 = 0. Calculate f.
5, 71
Factor 1000/3 + 2/3*a**3 + 400/3*a + 50/3*a**2.
2*(a + 5)*(a + 10)**2/3
Let n(s) be the first derivative of -s**3/7 - 3894*s**2/7 - 5054412*s/7 - 1784. Find l such that n(l) = 0.
-1298
Let y(a) = -a**3 + 5*a**2 - 4*a + 4. Let r be y(3). Suppose -5*v = -4*c + 135, 5*v - r*v - 165 = -5*c. Factor 2*b**2 - 5*b**2 - 2*b**2 - 45 - c*b.
-5*(b + 3)**2
Let c be (4/5 + (326/80 - 6))*(-76)/342. Factor -1/4*p**3 - 2*p - c*p**4 + 5/2*p**2 + 0.
-p*(p - 2)*(p - 1)*(p + 4)/4
Let f be (112421/(-778))/(55/(-396)). Determine u so that -204/5*u + f + 2/5*u**2 = 0.
51
Find s such that -16*s**2 - 9*s**2 - 19*s**2 - 1190*s + 69*s**2 - 20*s**2 = 0.
0, 238
What is o in -144*o**3 - 108*o**4 - 8492*o**2 + 12*o**3 - 25*o**5 + 8460*o**2 = 0?
-2, -8/25, 0
Let j(h) be the second derivative of 214*h - 1/195*h**6 - 5/13*h**2 + 4/39*h**3 + 0 + 1/13*h**4 - 2/65*h**5. Determine x so that j(x) = 0.
-5, -1, 1
Suppose 4*q - 3*l + 3 = -6*l, 2*l + 2 = q. Suppose -2*o + q = -4. Factor 2527*p + 244*p**3 - 454*p**2 - 1987*p + 216 - 28*p**4 - 230*p**o.
-4*(p - 3)**3*(7*p + 2)
Let b(y) be the second derivative of y**5/4 + 55*y**4/4 - 375*y**3/2 + 1755*y**2/2 - 54*y - 19. Let b(q) = 0. What is q?
-39, 3
Let p be (-101)/(7070/(-1470)) + 314/(-18). Suppose -112/9*q + 2/3*q**4 + p + 40/9*q**3 + 34/9*q**2 = 0. Calculate q.
-4, 1/3, 1
Let l = 980 - 978. Suppose -l*c + 9 = c. Let -4/25*i**2 + 4/25 - 2/25*i**c + 2/25*i = 0. Calculate i.
-2, -1, 1
Suppose -3115 = 5*t - 3130. Let x(d) be the second derivative of -1/5*d**6 + 0 + 1/2*d**4 + 0*d**2 + 1/5*d**5 + 18*d - 2/3*d**t. Factor x(g).
-2*g*(g - 1)*(g + 1)*(3*g - 2)
Let x(t) be the second derivative of 5*t**7/4 + 3*t**6/20 - 207*t**5/8 - 35*t**4/8 + 135*t**3/2 + 54*t**2 - 2805*t + 2. Determine h so that x(h) = 0.
-3, -4/5, -2/7, 1, 3
Let v = -963 - -965. Let j(h) be the first derivative of 32*h - h**4 + 8*h**v - 8/3*h**3 - 17. Let j(n) = 0. What is n?
-2, 2
Let l = 4237452/57043 + 4/8149. Let u = 2684/35 - l. Factor 6/5*s**3 - 6*s**2 - u + 2/5*s**4 + 34/5*s.
2*(s - 1)**3*(s + 6)/5
Let a = -52 - -209/4. Let j = 1515/1244 + 10/311. Solve -a*r**5 - 5/4*r**4 - 5/2*r**3 - j*r - 5/2*r**2 - 1/4 = 0.
-1
Let a(r) = -120*r**3 - 366*r**2 - 384*r - 135. Let z(i) = -i**4 + 240*i**3 + 736*i**2 + 768*i + 268. Let h(p) = -5*a(p) - 3*z(p). Factor h(n).
3*(n - 43)*(n + 1)**3
Let y(u) = 14*u - 43. Let v be y(5). Suppose -v*t = -24*t - 9. Factor -2 - 4*p**2 + 0*p - p**t + 4*p + 2 + p**4.
p*(p - 2)*(p - 1)*(p + 2)
Suppose 10*w - 28 = 12. Suppose -2*z + 2 + w = 0. Find l, given that 3*l**2 + 2*l**3 - 15*l + 2*l**3 + l**z - 13*l**2 = 0.
-1, 0, 3
Factor 107*i + 37 - 84*i**2 - 143*i - 4*i**3 + 20*i**3 + 24*i**3 + 51.
4*(i - 2)*(i + 1)*(10*i - 11)
Suppose 9*t - 31 - 86 = 0. Let d(y) be the third derivative of -2/15*y**3 + t*y**2 + 0 + 0*y + 1/20*y**4 - 1/150*y**5. Let d(c) = 0. Calculate c.
1, 2
Suppose -9*i = -7 - 20. Let t be (46 - (i - 8))*1. Factor 53*h + t*h + 2 - 2*h**2 + 6*h**3 - 110*