61)**2/7
Factor -3/2*y + 399/8*y**3 + 0 - 99*y**2.
3*y*(y - 2)*(133*y + 2)/8
Find w, given that 80*w**2 - 428*w + 94*w**3 + 52*w**4 - 96 - 24*w**2 + 52*w + 44*w**4 - 104*w**4 = 0.
-2, -1/4, 2, 12
Let w be (-66)/(-44) - ((-6)/4 + 1). Let m be w + -3 + 1/(25/35). Factor 2/5*x**3 + 2/5 - 2/5*x**2 - m*x.
2*(x - 1)**2*(x + 1)/5
Factor 60 + 3*d**3 + 1034*d - 2087*d + 937*d + 37*d**2.
(d - 2)*(d + 15)*(3*d - 2)
Let f be -2*-6*(-2)/(-6). Let d(l) = -7*l**4 + 14*l**3 + 7*l**2 - 22*l. Let b(a) = 13*a**4 - 29*a**3 - 13*a**2 + 43*a. Let k(u) = f*b(u) + 7*d(u). Factor k(r).
3*r*(r - 6)*(r - 1)*(r + 1)
Suppose 2/13*k**2 + 16 + 42/13*k = 0. Calculate k.
-13, -8
Suppose 5*s = -0*o + 4*o + 9215, o = -4*s + 7351. What is g in 123*g + 111*g**2 - s*g**2 + 21*g - 3 = 0?
1/24
Let c(w) = -20*w**2 + 25*w + 56. Suppose -4*s - 45 = -g, -4*g = 2*s - 8*g + 26. Let r(b) = -7*b**2 + 8*b + 19. Let z(h) = s*r(h) + 4*c(h). Factor z(q).
-3*(q - 5)*(q + 1)
Let q(y) = 342*y + 8555. Let h be q(-25). Factor -2/7 - 2/7*u - 2/7*u**4 - 2/7*u**h + 4/7*u**2 + 4/7*u**3.
-2*(u - 1)**2*(u + 1)**3/7
Suppose -357 = -29*i - 26*i - 64*i. Let -10/9*l**2 - 2/3 + 2/9*l**i + 14/9*l = 0. What is l?
1, 3
Let h(x) = x**3 + 9*x**2 - 36*x + 2. Let t = 1360 + -1372. Let g be h(t). Solve 3/7*z**3 + 24/7 + 3/7*z**4 - 12/7*z - 18/7*z**g = 0.
-2, 1, 2
Let l be (-418)/(-8) - (-7)/(-28). Factor -20*c**2 + 4*c**4 + l*c - 101*c + 12*c**3 - 4*c**5 + 57*c.
-4*c*(c - 1)**3*(c + 2)
Let d be 1651/1143 - (-4)/(-9) - 7/9. Find l, given that -2/9*l**3 + 0 + d*l + 0*l**2 = 0.
-1, 0, 1
Let z(m) = -7*m**5 - 21*m**4 + 143*m**3 - 259*m**2 - 584*m + 1372. Let r(a) = 2*a**5 - a. Let g(c) = 4*r(c) + z(c). Let g(d) = 0. Calculate d.
-2, 2, 7
Let k(d) be the third derivative of -d**6/24 + 25*d**5/12 + 5*d**4/6 - 250*d**3/3 + 7*d**2 - 102*d. Factor k(b).
-5*(b - 25)*(b - 2)*(b + 2)
Let z be (-21)/(-9)*18/126. Let m(k) be the second derivative of -1/6*k**3 - 3/20*k**5 + 0*k**2 + 0 - 13*k - z*k**4. Factor m(o).
-o*(o + 1)*(3*o + 1)
Let h(q) be the second derivative of q**4/4 - 1345*q**3/2 - 14*q - 576. Let h(b) = 0. Calculate b.
0, 1345
Factor 3/8*k**3 + 81567/8*k + 126*k**2 - 263169/4.
3*(k - 6)*(k + 171)**2/8
Let l = -619 - -639. Let f be 10 + 1/3*3. Factor f + 183*p - 211*p + l*p**2 + 1 - 4*p**3.
-4*(p - 3)*(p - 1)**2
Let c(r) = -9*r**3 + 4*r**2 + 9*r - 38. Let g be c(5). Let k = g + 8145/8. Factor -7/8*f**2 + k + 3/4*f.
-(f - 1)*(7*f + 1)/8
Let u(g) be the first derivative of g**6/12 + 3*g**5/5 + g**4/8 - 4*g**3 + 4*g**2 + 805. Solve u(w) = 0 for w.
-4, 0, 1
What is f in 30/11*f**2 - 1000/11 + 2/11*f**3 + 0*f = 0?
-10, 5
Let z(v) be the third derivative of v**8/588 + 2190*v**2. Solve z(s) = 0.
0
Let o = 73198 - 73196. Find q, given that -1/5*q**o - 1/5*q + 6/5 = 0.
-3, 2
Let y be ((-75757)/873 - -87) + (-1 - 7/(-9)). Factor -1/3*s**3 + 7/3*s + 2*s**2 + y.
-s*(s - 7)*(s + 1)/3
Determine p, given that 88 - 134 - 207 - 3*p**2 + p**2 - 47 + 62*p = 0.
6, 25
Let k = 1149 - 1143. Let n be 0 - (25/10 - k). Factor -6*q**2 - 2*q + 0 + n*q**3.
q*(q - 2)*(7*q + 2)/2
Let r(z) be the third derivative of -z**6/200 + 7*z**5/50 + 69*z**4/40 + 27*z**3/5 + 1416*z**2. Find l such that r(l) = 0.
-3, -1, 18
Let p(o) be the second derivative of 5*o**6/9 - 1118*o**5/3 - 6727*o**4/6 - 10772*o**3/9 - 1796*o**2/3 + 3119*o. Solve p(z) = 0.
-1, -2/5, 449
Let t = 186429/233030 + -1/46606. Let y(d) be the first derivative of -15 - 2*d**4 - t*d**5 + 4*d**2 + 4/3*d**3 + 0*d. Let y(c) = 0. What is c?
-2, -1, 0, 1
Let z(u) be the second derivative of 3*u**5/100 + u**4/10 - 24*u**3/5 + 2*u + 4743. Find v, given that z(v) = 0.
-8, 0, 6
Let s(m) = 11*m**3 + 15*m**2 + 17*m. Let u(x) = 253 - 7*x**2 - 124 - 5*x**3 - 129 - 8*x. Let t be (7/(-5) + 2)*10. Let k(n) = t*s(n) + 13*u(n). Factor k(l).
l*(l - 2)*(l + 1)
Let i(m) be the third derivative of m**7/840 + 19*m**6/240 + 119*m**5/80 - 19*m**4/12 - 361*m**3/6 - 98*m**2 - 6. Factor i(j).
(j - 2)*(j + 2)*(j + 19)**2/4
Suppose -350014 = -25*w + 4692386. Suppose -15*x**3 + 69*x**2 + 3*x**3 - w + 201672 - 78*x = 0. Calculate x.
-1/4, 2, 4
Suppose -j = -d - 2*d + 32, 15 = d + 4*j. Let y(f) = f**2 + 16*f - 5. Let w be y(2). Factor -12*a + w*a - d*a - 5*a - 3*a**3.
-3*a*(a - 1)*(a + 1)
Let f(u) = 81*u**3 + 434*u**2 + 471*u - 191. Let p(q) = 20*q**3 + 108*q**2 + 118*q - 46. Let m(l) = 2*f(l) - 9*p(l). Find o, given that m(o) = 0.
-4, -2, 2/9
Let o(l) be the third derivative of 1/1260*l**7 - l + 1/360*l**6 - 19*l**2 + 0*l**5 - 1/72*l**4 + 0 - 1/36*l**3. Determine b so that o(b) = 0.
-1, 1
Solve -360 + 990*z - 625*z**2 + 235*z**3 - 57776*z**4 + 57756*z**4 - 220*z**2 = 0 for z.
3/4, 1, 4, 6
Let k = 110633 - 110631. Factor 11/4*o - o**k - 1/4*o**3 - 3/2.
-(o - 1)**2*(o + 6)/4
Let m(c) be the first derivative of c**5/15 - 5*c**4/2 - 32*c**3/3 + 61*c**2 - 183. Let s(w) be the second derivative of m(w). Factor s(d).
4*(d - 16)*(d + 1)
Let u be 2576/(-690)*(-15)/(-36)*-18. Let 8*d + u*d**3 + 8/9 + 98/9*d**4 + 218/9*d**2 = 0. What is d?
-1, -2/7
Let f be (2 - (-72)/(-32))*-8. Find d, given that -377*d**f + 378*d**2 + 1 + 11*d + 17 = 0.
-9, -2
Let o(p) be the first derivative of 3*p**6/50 - 3*p**5/25 - p**4/4 + p**3/5 + 221*p - 11. Let m(c) be the first derivative of o(c). Let m(i) = 0. Calculate i.
-1, 0, 1/3, 2
Factor -8978/9*g**3 + 18224/9*g**2 + 4/9 - 538/9*g.
-2*(g - 2)*(67*g - 1)**2/9
Let v(a) be the third derivative of a**8/20160 + a**7/1260 - a**6/60 + 59*a**5/60 - 11*a**2 - 2. Let n(l) be the third derivative of v(l). Factor n(r).
(r - 2)*(r + 6)
Factor -1426/15*w**2 - 116/15*w**3 + 0 + 7688/15*w - 2/15*w**4.
-2*w*(w - 4)*(w + 31)**2/15
Suppose -98 = -4*t + 154. Let h be -3*(-12)/t*(-28)/(-8). Find a, given that -5*a - h*a**2 - 32 + 12*a + 9*a + 0*a = 0.
4
Let p(m) be the first derivative of -m**6/180 + m**5/10 - 2*m**4/3 + 56*m**3/3 + 43. Let h(r) be the third derivative of p(r). Factor h(z).
-2*(z - 4)*(z - 2)
Let -1/4*w**3 + 0 + 52*w**2 - 615/4*w = 0. Calculate w.
0, 3, 205
Let u be (12/(-30) - 2373/280) + 9. Let h(q) be the first derivative of 30 + 0*q**3 - 1/4*q**2 + u*q**4 + 0*q. Let h(z) = 0. What is z?
-1, 0, 1
Let k = 927 - -3169. What is u in 38*u**3 - 48*u**2 - k - 84*u**3 - 347*u + 45*u**3 - 421*u = 0?
-16
Let j be 2/((128/744)/8). Suppose -87*f = -j*f. Determine x, given that f + 6/5*x - 3/5*x**2 = 0.
0, 2
Find a such that 3664*a**3 + 704*a**2 - 3776*a**3 + 30*a**4 - 208*a**2 - 512*a - 17*a**4 - 17*a**4 = 0.
-32, 0, 2
Let g(c) = -c**3 - 15*c**2 + 50*c + 274. Let y(o) = -104*o + 191. Let f be y(2). Let j be g(f). Let -8/3*z - 14/3*z**j + 0 - 5/3*z**3 = 0. What is z?
-2, -4/5, 0
Suppose 5*v + l = 22, 5*v - 2*l - 31 = -15. Solve -74*w**3 - 3767*w**2 + 7*w**v + 68 - 5*w**4 - 206*w + 3977*w**2 = 0 for w.
1, 34
Let l be 1 + 1 - 28/7. Let a be (-1 + 8/4)/(l/(-4)). Factor -18 + 50*q**2 - 21*q**2 - 12*q - 31*q**a.
-2*(q + 3)**2
Determine c, given that -72/5*c - 4/5*c**2 - 68/5 = 0.
-17, -1
Let q be (487/(-4))/((-61)/(-244)). Let u = q + 487. Factor 3/4*h**3 + u - 3*h + 0*h**2.
3*h*(h - 2)*(h + 2)/4
Suppose -2*l = 11*b - 13*b - 24, -3*l + 3 = 0. Let d be 8/(-32)*(b + -1). Factor -9/2*f**2 + 0 - 3/2*f**3 - d*f.
-3*f*(f + 1)*(f + 2)/2
Let i(o) be the second derivative of -o**6/6 + 94*o**5 + 3775*o**4/12 + 315*o**3 + 75*o - 44. Let i(x) = 0. Calculate x.
-1, 0, 378
Let o(j) be the second derivative of j**7/189 - j**6/15 - 121*j**5/90 - 263*j**4/54 + 40*j**3/9 + 272*j**2/9 - 2*j + 10. Find d such that o(d) = 0.
-4, -1, 1, 17
Let w(n) = 2*n**2 + 78*n - 223. Let q be w(-41). Let h = 769/13 + q. Solve -h*g**3 - 8/13*g + 10/13*g**2 + 0 = 0.
0, 1, 4
Let z(x) = -5*x + 32. Let n be z(6). Determine f, given that -2*f + 1851*f**2 - 10*f - n*f**3 + 6*f**3 - 1843*f**2 = 0.
-3, 0, 1
Let k(f) be the first derivative of -5*f**3/3 - 485*f**2/2 - 950*f + 2505. Solve k(a) = 0.
-95, -2
Let -14/3*l**3 + 136/3*l**2 + 40/3*l + 0 = 0. What is l?
-2/7, 0, 10
Let y(q) be the first derivative of 3*q**4/20 - 8*q**3/5 - 39*q**2/10 + 84*q - 5738. Solve y(w) = 0 for w.
-4, 5, 7
Let q be 4*12/(-6) + 10. Factor 2835*t + 20*t**4 - 584 + 426*t**3 + 36*t**5 + 2609 + 1566*t**q - 67*t**5 + 37*t**4 + 34*t**5.
3*(t + 3)**3*(t + 5)**2
Let z(i) = i**2 - 13*i + 32. Let b be z(10). Suppose -3*f + 6 = -0*f. Factor -1 + b*c + f*c**2 + 0 + c - 1.
(c + 2)*(2*c - 1)
Sup