 q, given that 1557*q**3 + 780*q**2 - 3*q - 2217*q**4 + 3*q - 3*q**5 - 2468*q**4 + 5459*q**4 = 0.
-1, 0, 260
Let b be (-9 - -6)/(-3) - (-2 - 0). Let h be b/(-6) - -2 - 5/4. Factor 1/2*r - 5/4*r**2 + r**3 + 0 - h*r**4.
-r*(r - 2)*(r - 1)**2/4
Let r = 140029 - 140027. Suppose 2/11*p**r - 20/11*p + 48/11 = 0. Calculate p.
4, 6
Let y = 232 - 228. Let 108*b**3 + 8*b**5 + b**4 - 142*b**3 + 5*b**y - 24*b**2 + 8*b = 0. Calculate b.
-2, -1, 0, 1/4, 2
Let n(w) be the first derivative of w**3/3 - 238*w**2 - 781. Factor n(s).
s*(s - 476)
Factor 2760*z**2 - 31500*z**3 - 1568/5 + 11312/5*z.
-4*(7*z + 2)*(75*z - 14)**2/5
Find n such that 388/9*n - 2/9*n**2 - 18818/9 = 0.
97
Let u(i) = 2*i**3 + 12*i**2 + 64*i + 45. Let r(m) = 124 + 16*m**2 + 64*m - 4*m**2 + 123 - 201. Let h(n) = -3*r(n) + 2*u(n). Factor h(v).
4*(v - 6)*(v + 1)*(v + 2)
Solve 16 + 152/9*g + 2/9*g**3 + 44/9*g**2 = 0 for g.
-18, -2
Suppose -3*p - 6 = -3*l, 16*p - 18 = 17*p - 5*l. Suppose 6*y + 9 - 21/4*y**p - 3/2*y**3 + 3/4*y**4 = 0. Calculate y.
-2, -1, 2, 3
What is h in 0*h**3 - h**3 + 1756*h + 258*h - 843*h + 168 + 584*h**2 + 418 = 0?
-1, 586
Let o(w) = -13*w**2 + 29*w - 392. Let y(g) = -9*g**2 + 21*g - 393. Let b(l) = 3*o(l) - 4*y(l). Factor b(m).
-3*(m - 12)*(m + 11)
Suppose 9*i + 15*i - 48 = 0. Let h be 2/((-2)/(i/(-5))). Factor h*l + 0 - 7/5*l**2.
-l*(7*l - 2)/5
Let s be (-7 - (1752/33)/(-8))/(-6). Let o(j) be the first derivative of 0*j + 23 - 2/11*j**2 + s*j**3. Solve o(y) = 0.
0, 2
Factor -248/5*l - 4/5*l**2 - 96.
-4*(l + 2)*(l + 60)/5
Let a be (-10)/(-40) + 1/(-4). Let p(h) = -h**2 + 2*h + 5. Let x be p(a). What is g in -x + 1 + 12*g + 8*g + 30*g**3 - 40*g**2 + 10*g**3 - 20*g**4 + 4*g**5 = 0?
1
Let i = 349687/30145 + -1/6029. Determine r, given that -i*r + 88/5*r**3 - 16/5*r**4 - 81/5*r**2 - 8/5 = 0.
-1/4, 2, 4
Let v(x) be the third derivative of 0*x - 2/5*x**3 + 0 - 70*x**2 + 1/12*x**4 - 1/150*x**5. Suppose v(r) = 0. What is r?
2, 3
Let v be 2*((-8)/4 + 3). Solve -38 + 38 - 36*m**v + 3*m**3 = 0.
0, 12
Let x(z) be the first derivative of -36 - 32/3*z**3 - 7*z**4 + 0*z + 4*z**5 + 8*z**2. Factor x(u).
4*u*(u - 2)*(u + 1)*(5*u - 2)
Determine b, given that -72/5 - 39/5*b**2 + 22*b + 1/5*b**3 = 0.
1, 2, 36
Let b = 761347/13 - 58565. Let t = 52289/13 + -4019. Factor t*v**2 + b - 24/13*v - 20/13*v**3.
-2*(v - 1)**2*(10*v - 1)/13
Let o(f) be the third derivative of 2*f**7/315 + 4*f**6/45 + 23*f**5/45 + 14*f**4/9 + 8*f**3/3 + 3*f**2 - 70*f. Factor o(k).
4*(k + 1)*(k + 2)**2*(k + 3)/3
Let c(p) be the third derivative of p**8/392 - 88*p**7/735 + 47*p**6/105 + 17*p**5/105 - 191*p**4/84 + 18*p**3/7 - 2*p**2 - 96. Find d such that c(d) = 0.
-1, 1/3, 1, 2, 27
Let x(n) = -2*n**2 + 27*n - 8. Let p be x(11). Suppose 3*o - p = 196. Factor -o - 40*v**2 + 81 + 4*v**3.
4*v**2*(v - 10)
Let y(q) = 4*q**2 - 101*q + 2707. Let b(l) = -9*l**2 + 201*l - 5415. Let i be 245/25 + (-3)/(-15) - -4. Let s(m) = i*y(m) + 6*b(m). Factor s(a).
2*(a - 52)**2
Let f(b) = 32*b + 4. Let t be f(1). Let d be (-2)/(t/(-33)) - 1/(-6). Determine g, given that 12*g - 7*g**d - 56*g - 235 + 5*g**2 - 7 = 0.
-11
Let z(u) = 48*u**3 + 256*u**2 + 202*u + 54. Let b(t) = -142*t**3 - 770*t**2 - 605*t - 163. Let q(m) = -6*b(m) - 19*z(m). Factor q(k).
-4*(k + 3)*(3*k + 2)*(5*k + 2)
Factor -151250/3 - 1/6*p**2 + 550/3*p.
-(p - 550)**2/6
Let l = -30241 - -30244. Factor -4/5*h**4 - 2/5 - 18/5*h**2 + 2*h + 14/5*h**l.
-2*(h - 1)**3*(2*h - 1)/5
Let j be (0 - 11/(-3))*(-75)/(-30)*(-28)/(-55). Let -10/3 + 22/3*m - j*m**2 + 2/3*m**3 = 0. What is m?
1, 5
Let o be ((-6760)/78)/52 + (1 - 33/(-9)). Solve -16/5*a**o + 0*a**2 + 0 + 18/5*a**4 + 0*a - 2/5*a**5 = 0.
0, 1, 8
Solve 11570/9*w - 2572/3 + 2/3*w**2 = 0 for w.
-1929, 2/3
Let o(u) be the first derivative of -25*u**6/3 - 154*u**5 - 663*u**4 - 2620*u**3/3 - 377*u**2 - 66*u + 3393. Let o(z) = 0. What is z?
-11, -3, -1, -1/5
Let r be 852 + (5 - (-2 - -4 - 1)). Let d = r - 856. Find y such that 7/3*y**2 - 2*y + 0 - 1/3*y**4 + d*y**3 = 0.
-3, 0, 1, 2
Determine x so that -4/7*x**5 + 0*x**2 + 144/7*x**3 - 64/7*x**4 + 0 + 0*x = 0.
-18, 0, 2
Let x(w) be the second derivative of 3*w**6/4 - 609*w**5/8 + 245*w**4/6 + 505*w**3/3 - 3688*w. Let x(v) = 0. Calculate v.
-2/3, 0, 1, 202/3
Let c(b) be the third derivative of -37*b**5/480 - 41*b**4/192 - b**3/12 - 5155*b**2. Suppose c(a) = 0. Calculate a.
-1, -4/37
Let z(d) = -970*d**3 - 2*d + 1. Let n be z(1). Let m = n - -4863/5. Factor m*h**2 - 18/5*h + 2.
2*(h - 1)*(4*h - 5)/5
Suppose 3*n - 180 = 13*n. Let q be n/(-12) + 1/2. Solve -3*p**3 - q + 15*p + 614*p**2 + 11 - 611*p**2 = 0 for p.
-1, 3
Let j(c) = -4 + 0*c + 4*c - 6*c + c. Let w be j(-7). Solve -5*g**2 - 2*g**3 + 2*g**3 - 2*g**3 - 3*g**w = 0 for g.
-1, 0
Let j(y) be the third derivative of 24/5*y**3 + 1/300*y**6 + y**2 - 1/15*y**5 + 1/5*y**4 + 15 + 0*y. Factor j(c).
2*(c - 6)**2*(c + 2)/5
Factor -1954470 - 2*r**4 + 7070*r**3 - 5005560*r - 2492165*r**2 - 3*r**4 - 551850.
-5*(r - 708)**2*(r + 1)**2
Let y = -38929 - -311441/8. Suppose y*l**2 - 7/8*l - 3/4 - 1/4*l**3 = 0. What is l?
-1/2, 2, 3
Let w be (-620)/(-100) + (-4)/(-8)*(5 + 130/(-10)). Solve w - 4/5*u**2 + 43/5*u = 0 for u.
-1/4, 11
Suppose 39 = 3*i - 3*y, -3*i + 22 + 13 = -4*y. Suppose 4*f**5 - 193*f**4 + i*f**5 + 199*f**4 = 0. What is f?
-2/7, 0
Let a = 440 + -438. Let 120*y**a - 57*y**2 + 13*y**2 + 12 + 32 + 20 - 152*y + 12*y**3 = 0. Calculate y.
-8, 2/3, 1
Let g(u) = 97*u**3 - 112*u**2 + 7*u - 8. Let y(q) = -4 - 4*q**3 + 36*q**3 + 45*q + 1 - 37*q**2 - 43*q. Let z(f) = 3*g(f) - 8*y(f). Factor z(j).
5*j*(j - 1)*(7*j - 1)
Let u = 2912 - 2909. Factor -2/5*y**2 + 4/5*y - 2/5*y**u + 0.
-2*y*(y - 1)*(y + 2)/5
Let s(r) = -2*r**3 - 28*r**2 - 52*r - 22. Let z = 153 - 131. Let w(x) = 10*x**3 + 140*x**2 + 261*x + 109. Let f(t) = z*s(t) + 4*w(t). Let f(b) = 0. Calculate b.
-12, -1
Let b(o) be the first derivative of -o**6/36 - o**5/3 - 2*o**4/3 + o**3/9 + 17*o**2/12 + 4*o/3 - 2749. Factor b(h).
-(h - 1)*(h + 1)**3*(h + 8)/6
Let r(i) be the first derivative of 2/3*i**3 + 1/3*i**4 + 0*i**2 + 0*i - 152 - 2/15*i**5. Factor r(p).
-2*p**2*(p - 3)*(p + 1)/3
Let p(u) be the second derivative of u**5/190 - 659*u**4/19 + 1737124*u**3/19 - 2289529432*u**2/19 + 2217*u. Find r such that p(r) = 0.
1318
Factor -3/4*o**2 - 15/2*o + 198.
-3*(o - 12)*(o + 22)/4
Let p(g) = 2*g**3 - 80*g**2 - 714*g - 2156. Let j(w) = -w**3 + 2*w**2. Let r(y) = -4*j(y) - p(y). Suppose r(q) = 0. What is q?
-22, -7
Factor -8 - 8*u**2 + 44/3*u + 4/3*u**3.
4*(u - 3)*(u - 2)*(u - 1)/3
Let z = 7089 - 7087. Let p(l) be the first derivative of -2 - 1/12*l**3 - 1/4*l - 1/4*l**z. Suppose p(q) = 0. Calculate q.
-1
Let v(d) be the third derivative of -d**6/160 - 17*d**5/40 - 61*d**4/32 + 12*d**3 - 95*d**2 + 1. Solve v(j) = 0 for j.
-32, -3, 1
Let j be (10/15)/(80/75 - 1). Let m be j/3*(-336)/(-200) - 4. Factor m*f**2 - 2/5*f - 2/5*f**3 - 12/5.
-2*(f - 3)*(f - 2)*(f + 1)/5
Let h(g) = 21*g**2 - 269*g + 15. Let u(p) = 11*p**2 - 134*p + 10. Let a(l) = -4*h(l) + 10*u(l). Find v, given that a(v) = 0.
2/13, 10
Factor 180*h**3 + 108*h**4 - 40423*h**5 - 12*h**4 + 20214*h**5 + 20213*h**5 + 88*h**2.
4*h**2*(h + 1)**2*(h + 22)
Suppose -7*p + 70 = -0*p. Let u(y) = y**2 - 13*y + 14. Let b be u(12). Factor -4*w**2 - 10*w**2 + p*w**b.
-4*w**2
Let r = 92 - 88. Factor 4*h**r + 1178*h**5 + 5*h - 16*h**2 - 1176*h**5 - 6*h**3 - 13*h.
2*h*(h - 2)*(h + 1)**2*(h + 2)
Let q(k) be the first derivative of -24*k**2 + 131 + 768*k + 1/4*k**3. Factor q(m).
3*(m - 32)**2/4
Let k = 962 + -962. Let d(o) be the second derivative of 0 - 1/15*o**5 + k*o**2 - 2/9*o**4 + 0*o**3 - 49*o. Factor d(y).
-4*y**2*(y + 2)/3
Let c(q) = q**4 + 4*q**2 - 2*q + 1. Let w(s) = -14*s**4 - 585*s**3 + 1135*s**2 - 569*s - 11. Let o(j) = -11*c(j) - w(j). Suppose o(u) = 0. Calculate u.
-197, 0, 1
Suppose 59*t + 65*t = 52*t - 72*t. Let u(q) be the second derivative of -1/4*q**5 + 0 + 20*q + t*q**4 + 5/6*q**3 + 0*q**2. Suppose u(g) = 0. What is g?
-1, 0, 1
Let h(f) be the third derivative of -1 - 47*f**2 + 4/105*f**7 + 0*f - 1/10*f**5 - 1/3*f**3 - 1/12*f**6 + 5/12*f**4. Suppose h(r) = 0. Calculate r.
-1, 1/4, 1
Let c be 6*(-4)/(-3) + -13 - (-238)/22. Let -24/11*j + 0 - 46/11*j**3 - c*j**2 - 6/11*j**4 = 0. Calculate j.
-6, -1, -2/3, 0
Let i be 4/((-8)/(-18))*8/36. Factor -52*