 5*v - 12 = 0. Find s such that 15*s - 4 - 8*s**k - 6 + 0 + n*s**2 = 0.
1, 2
Let g(l) = 5*l**2 + 16*l + 12. Let w(m) = -4*m**2 - 15*m - 10. Let t be (-50)/4*(-8)/20. Let b(c) = t*g(c) + 6*w(c). Solve b(i) = 0.
0, 10
Suppose 4/3*f**3 - 100/3*f - 100/3 + 1/3*f**4 - 7*f**2 = 0. What is f?
-5, -2, 5
Let i(y) be the third derivative of y**7/2940 + y**6/70 - 19*y**5/420 - 53*y**3 - 295*y**2. Let q(v) be the first derivative of i(v). Factor q(p).
2*p*(p - 1)*(p + 19)/7
Let p(r) = 4*r**2 + 92*r + 92. Let k(v) = -4*v**2 + 67*v - 93 - 17*v - 144*v + 0*v**2. Let y(n) = 4*k(n) + 3*p(n). Factor y(h).
-4*(h + 1)*(h + 24)
Let 382*i - 15*i - 32*i**2 + 1536 - 44*i**3 + 337*i - 4*i**4 = 0. Calculate i.
-8, -4, -3, 4
Find o such that -90 + 25*o + 5/3*o**2 = 0.
-18, 3
Let k = 121 + -229. Let n be k/81*((-473)/2 - 2). Suppose 675*b**2 - 1 + 13 - n*b + 138*b = 0. Calculate b.
2/15
Solve 72 + 274*l**2 - 555*l**2 + 0*l**3 - 2*l**3 + 267*l**2 = 0 for l.
-6, -3, 2
Factor 930*x**2 + 547*x**2 + 1811*x + 33*x**3 + 980 + 267*x - 259*x**2 + 2*x**4 + 89*x**3.
2*(x + 1)**2*(x + 10)*(x + 49)
Let x = 7/2557 + 40891/7671. Find a, given that 22*a - 8/3*a**2 - x = 0.
1/4, 8
Let i(c) be the second derivative of c**5/130 + 9*c**4/13 - 229*c**3/39 + 174*c**2/13 - 17*c - 102. Suppose i(y) = 0. Calculate y.
-58, 1, 3
Suppose -18 = 5*p - 93. Suppose 5*x + p = 0, 4*y + 2*x + x - 7 = 0. Factor -6*b**2 - 27*b**y + 24*b**4 - 3 + 3 - 9*b**3.
-3*b**2*(b + 1)*(b + 2)
Let q = 143558 + -1004896/7. Determine o, given that 2/7*o**2 - 4 - q*o = 0.
-2, 7
Let m(f) be the third derivative of -f**7/2520 - f**6/360 + f**5/15 - f**4/24 - f**3/3 - 25*f**2. Let w(l) be the second derivative of m(l). Factor w(p).
-(p - 2)*(p + 4)
Factor 2*w**2 + 6*w**2 + 7*w**2 + 91 + 59 - 20*w**3 + 605*w.
-5*(w - 6)*(w + 5)*(4*w + 1)
Let i be (-62)/(-589) - (4 + 48765/(-12350)). Let j(v) be the second derivative of 8/13*v**2 + i*v**5 - 1/3*v**4 + 0 + 20/39*v**3 + 34*v. Factor j(d).
2*(d - 2)**2*(7*d + 2)/13
Let u(n) be the first derivative of 4/15*n**5 + 2*n**4 + 0*n**2 + 20/9*n**3 + 217 + 0*n. Factor u(l).
4*l**2*(l + 1)*(l + 5)/3
Suppose -6*q**3 + 30*q**2 + 3*q**3 + 28*q - 3*q**4 + 8*q**4 - 12 - q**5 - 47*q**2 = 0. What is q?
-2, 1, 2, 3
Factor 0 + 2/3*p + 3*p**3 + 1/3*p**5 - 5/3*p**4 - 7/3*p**2.
p*(p - 2)*(p - 1)**3/3
Let y(v) = -2*v**3 - 7*v**2 + 5*v - 3. Let l be y(-6). Factor -71*u**2 - 74*u**2 + l*u**2.
2*u**2
Let d be 14 - 5 - (0 + 7). Factor -24 + 15 + 5 - 102*z + 106*z**d.
2*(z - 1)*(53*z + 2)
Let o be (-1)/(4*6/(-72)). Factor -416*j**2 + 830*j**2 - o*j**3 - 408*j**2.
-3*j**2*(j - 2)
Suppose -1912/7*i**2 + 0 - 456968/7*i - 2/7*i**3 = 0. What is i?
-478, 0
Let w(g) = -8*g - 25. Let f be w(-8). Find y such that f*y + 3*y**2 + 5*y**2 - 59*y - 13 + 1 = 0.
-1/2, 3
Let s = 2179/3003 - 59/1001. Factor 10/3 - s*o**2 - 8/3*o.
-2*(o - 1)*(o + 5)/3
Let x = -21 - -22. Let p be ((-40)/(-5) + -6)*x*2. Factor -4*b**5 - 4*b**p + 9*b**5 - 4*b**3 + 4*b**2 - b**5.
4*b**2*(b - 1)**2*(b + 1)
Let q be ((-23187)/(-295) + -77)*10/32. Find s, given that 13*s + 27/2 - q*s**2 = 0.
-1, 27
Let r = 277950 - 277566. Determine l so that 48*l + r + 3/2*l**2 = 0.
-16
Let l(f) be the second derivative of -1/70*f**5 + 0 - 1/105*f**6 + 2*f**4 - 25*f + 704/7*f**2 + 464/21*f**3. Factor l(w).
-2*(w - 11)*(w + 4)**3/7
Let -3*f**2 + 1011*f - 115*f + f**2 - 804005 - 3*f**2 + 3114*f = 0. What is f?
401
Suppose 0*v = 3*a - 2*v - 3069, 4*a - 2*v - 4094 = 0. Suppose -120*u**2 + a*u**3 + 144*u - 2055*u**3 - u**4 + 1007*u**3 = 0. What is u?
-12, 0, 1
Let o = 390 + 465. Let f be (o/(-950))/(6/(-8)). Find j, given that -f*j**3 + 3/5 + 0*j**2 - 3/5*j**4 + 6/5*j = 0.
-1, 1
Let z = 32117/38 + -15916/19. Find l such that 5*l**2 + 0 + 45/4*l**3 + 5/4*l**5 + 0*l + z*l**4 = 0.
-4, -1, 0
Let k(b) be the first derivative of 49*b**4/3 + 1120*b**3/9 - 166*b**2/3 + 8*b + 371. Suppose k(r) = 0. What is r?
-6, 1/7
Let a be 510/2890*(-48)/(-1). Factor a*i - 10/17*i**2 - 56/17.
-2*(i - 14)*(5*i - 2)/17
Solve 1/9*k**3 + 0 + 23409*k - 102*k**2 = 0 for k.
0, 459
Factor 236*x - 5500 + 4516 + 98*x - 2*x**2.
-2*(x - 164)*(x - 3)
Let h(r) be the third derivative of -605*r**8/336 - 110*r**7/7 + 871*r**6/24 + 431*r**5/2 - 645*r**4/2 + 180*r**3 + 46*r**2 - 54*r. Solve h(c) = 0.
-6, -2, 3/11, 2
Let m(y) = -7*y + 10. Let d be m(1). Determine r so that 16*r + d + 29 + 2 - 14 - 4*r**2 = 0.
-1, 5
Let w(q) be the first derivative of q**9/1512 + q**8/210 + q**7/105 + 254*q**3/3 + 220. Let u(d) be the third derivative of w(d). Factor u(g).
2*g**3*(g + 2)**2
Let g(p) = 5*p**2 - 600*p + 590. Let t(v) be the first derivative of 7*v**3/3 - 899*v**2/2 + 884*v - 58. Let a(h) = -8*g(h) + 5*t(h). Factor a(l).
-5*(l - 60)*(l - 1)
Determine j so that 593*j**4 - 1052*j**4 - 5*j**5 + 500*j - 105*j**3 - 520*j**2 + 589*j**4 = 0.
-2, 0, 1, 2, 25
Let n(q) = 12*q**4 - 142*q**3 + 1714*q**2 + 14390*q + 20746. Let c(k) = -k**4 + k**3 + 3*k**2 + k - 1. Let h(r) = 10*c(r) + n(r). Factor h(w).
2*(w - 36)**2*(w + 2)*(w + 4)
Factor -52*h**4 + 59*h**3 - 63*h**4 + 100*h**3 + 112*h**4 + 5625*h - 2325*h**2.
-3*h*(h - 25)**2*(h - 3)
Let i(v) be the first derivative of -v**8/1260 + 2*v**7/315 - v**6/270 - v**5/15 + v**3/3 - 10*v**2 - 78. Let f(k) be the third derivative of i(k). Factor f(x).
-4*x*(x - 3)*(x - 2)*(x + 1)/3
Let v(t) = t**3 - 7*t**2 + 10*t - 22. Let f be v(6). Determine y, given that -4*y**f + 296*y + 423 + 304 - 6203 = 0.
37
Let p = 9 - -1. Suppose 5*h - 17 = z, -z + 4*h = 3 + p. Determine m, given that -18*m**4 - 40*m - 5*m**3 - 10 - 55*m**z + 2 - 74*m**2 = 0.
-1, -2/3
Determine h so that -20/3*h**3 - 56/3*h**2 - 40/3 + 212/3*h = 0.
-5, 1/5, 2
Let v(w) be the third derivative of -57*w + 31/8*w**4 + 1/40*w**6 + 17/20*w**5 + 15/2*w**3 + 3*w**2 + 0. Factor v(d).
3*(d + 1)**2*(d + 15)
Suppose 107*m - 40*m = 303*m - 472. What is h in 2/7*h**3 - 12/7 - 2/7*h**4 - 2/7*h + 2*h**m = 0?
-2, -1, 1, 3
Let m(q) be the second derivative of q**4/9 - 3820*q**3/9 + 3818*q**2/3 - 1873*q. Solve m(i) = 0.
1, 1909
Suppose -5*v - 8*l + 10 = -3*l, -4*v - 3*l + 9 = 0. Factor 117337 + 11*t**2 - 117337 + t**v.
t**2*(t + 11)
Suppose 1174 - 1198 = -12*q. Let p(z) be the second derivative of -1/40*z**5 - 1/24*z**4 + 1/60*z**6 + 13*z + 1/12*z**3 + 0 + 0*z**q. Let p(r) = 0. What is r?
-1, 0, 1
Let x = -109 + 129. Let p be ((-2)/(-10))/(12/x + 0). Factor -2/3*d - 1/3 - p*d**2.
-(d + 1)**2/3
Let o(y) = y**2 - 6*y + 9. Let a be o(5). Factor 24*d**3 + d**a + 88*d**2 + 25 + 119 - 8*d**3 + 192*d.
(d + 2)**2*(d + 6)**2
Let i = 173 - -23. Let p be (-1)/12 + i/1008. Determine m so that -4/9*m**3 + 0*m + p*m**4 + 0 + 1/3*m**2 = 0.
0, 1, 3
Let q(r) be the second derivative of -4*r + 0*r**3 - 11/2*r**2 - 1/42*r**4 + 0 + 1/420*r**5. Let k(l) be the first derivative of q(l). Factor k(b).
b*(b - 4)/7
Let s be (-5065)/1820 - (-15)/5. Let u = 3/91 + s. Factor -u*j**4 + 0*j**3 + j**2 + 0 + 0*j.
-j**2*(j - 2)*(j + 2)/4
Let v be ((-21)/9)/7 - 20/(-50). Let n(m) be the first derivative of v*m**3 + 1/5*m**2 + 0*m - 15. Factor n(z).
z*(z + 2)/5
Let l(g) be the third derivative of -g**8/112 - 61*g**7/175 - 43*g**6/200 + 61*g**5/50 + 6*g**4/5 - 1390*g**2. Determine d so that l(d) = 0.
-24, -1, -2/5, 0, 1
Let o be (238/(-595))/(7/(-480)). Factor o - 20/7*f**2 + 32/7*f - 4/7*f**3.
-4*(f - 3)*(f + 4)**2/7
Suppose -3*g + 12 = -7*g, 0 = l - 3*g - 42. Factor -6*f**4 + 33*f - 6*f**4 + 4*f**4 - 27*f**2 + 30 + 5*f**4 - l*f**3.
-3*(f - 1)*(f + 1)**2*(f + 10)
Determine n so that 50*n + 0 + 1/4*n**3 - 51/2*n**2 = 0.
0, 2, 100
Let v(w) be the first derivative of w**5/30 - 4*w**4/9 - 11*w**3/9 + 6*w**2 - 3*w - 33. Let h(a) be the first derivative of v(a). Let h(d) = 0. Calculate d.
-2, 1, 9
Let t be 130/39*(13572/(-1595))/(-26). What is h in 0*h**2 + t + 14/11*h - 2/11*h**3 = 0?
-2, -1, 3
Let x(b) = -3*b**3 + 236*b**2 + 497*b + 250. Let i(y) = -y**3 + 79*y**2 + 167*y + 84. Let z(r) = -8*i(r) + 3*x(r). Factor z(f).
-(f - 78)*(f + 1)**2
Let a(k) be the first derivative of -k**5/3 + 35*k**4/2 - 935*k**3/3 + 5780*k**2/3 + 3458. Factor a(i).
-5*i*(i - 17)**2*(i - 8)/3
Let g(d) be the first derivative of d**4/26 - 2516*d**3/13 + 4747692*d**2/13 - 3981731024*d/13 - 5650. Find w such that g(w) = 0.
1258
Factor -272*b**2 + 92*b**4 - 25*b**5 - 78735 + 1196*b**3 - 16*b**5 - 73406*b - 1