(-22)/6 + (-8410)/(-2175). Factor -h*x**2 - 18/5 - 19/5*x.
-(x + 1)*(x + 18)/5
Let p = 253/463 - -3871/1389. Find m such that -p*m + 4 - 2/3*m**2 = 0.
-6, 1
Let q(r) be the second derivative of r**4/12 + 3*r**3 + 67*r**2/2 + 36*r. Let j be q(-5). Factor -2/3 - j*g**2 + 2/3*g**3 + 2*g.
2*(g - 1)**3/3
Let u(w) be the second derivative of -w**4/42 + 26*w**3/3 - 537*w**2/7 - 4*w + 440. Solve u(y) = 0 for y.
3, 179
Let l(g) = -5*g**2 + 88*g - 503. Let a(q) = -19*q**2 + 354*q - 1959. Let x(j) = -3*a(j) + 11*l(j). Factor x(n).
2*(n - 43)*(n - 4)
Suppose 43*n = 226*n + 201*n - 768. Determine t, given that 0 + 232/15*t**n - 164/15*t**3 + 16/3*t + 14/15*t**4 = 0.
-2/7, 0, 2, 10
Let p = 10668 - 10665. Let x(t) be the second derivative of -3*t**2 - 22*t + 0 - 1/4*t**4 - 3/2*t**p. Solve x(i) = 0.
-2, -1
Let k be ((-5)/(-2))/(1626/2168). Let o(a) be the first derivative of 2*a**2 + 0*a - 30 + 3/2*a**4 + 2/5*a**5 - 1/3*a**6 - k*a**3. Solve o(m) = 0 for m.
-2, 0, 1
Let y be 19/(-14) + 741/399. Let v = 257/4 - 64. Solve -v*a**3 - y + 1/4*a + 1/2*a**2 = 0 for a.
-1, 1, 2
Suppose -7*a - 18 = -6*a. Let c be 1 - (a/(2 - 0) - 2). Find o, given that -o**2 + 18*o + 4 + 3*o**2 - c*o = 0.
-2, -1
Let t(l) = -8*l + l - l**2 + 1 + 6*l. Let k(h) be the first derivative of 8*h**3/3 + 14*h**2 - 4*h + 5. Let y(z) = -k(z) - 4*t(z). Factor y(j).
-4*j*(j + 6)
Let q(c) be the first derivative of c**5/10 + 19*c**4/8 + 40*c**3/3 - 25*c**2 - 321. Factor q(u).
u*(u - 1)*(u + 10)**2/2
Solve 62*d + 0 - 39*d - 2 - 2 + 475*d**2 + 157*d = 0 for d.
-2/5, 2/95
Suppose -2187*j - 1473623 + 195*j - 182577 + 8*j**2 - 1648*j - 10*j**2 = 0. Calculate j.
-910
Let y = 1/86931 + 228889316/608517. Let k = y - 375. Factor -k*j - 2/7*j**2 - 8/7.
-2*(j + 2)**2/7
Let m(i) be the third derivative of i**8/840 + i**7/525 - i**6/150 - 210*i**2. Factor m(q).
2*q**3*(q - 1)*(q + 2)/5
Let c = 656 + 364. Let b = c + -13242/13. Suppose 2/13 - 12/13*u + b*u**2 = 0. What is u?
1/3
Let y(k) be the first derivative of 1/12*k**6 - 13 - 5/8*k**4 - 1/10*k**5 - 1/2*k**3 + 0*k + 0*k**2. What is i in y(i) = 0?
-1, 0, 3
Let -4*z**3 - 22 - 277212*z**2 + 24*z + 277224*z**2 - 10 = 0. Calculate z.
-2, 1, 4
Let k(h) be the first derivative of -153 - 6/5*h**5 + 0*h - 25/2*h**4 - 16/3*h**3 + 0*h**2. Suppose k(m) = 0. Calculate m.
-8, -1/3, 0
Suppose y - 5 = -3. Suppose 56*z**2 + 22*z - y*z - 54*z**2 = 0. What is z?
-10, 0
Let h = 88461/7 - 12637. Solve -h*m + 4/7 - 2/7*m**2 = 0.
-2, 1
Let i(a) be the third derivative of -1/140*a**5 + 0 + 74*a**2 + 0*a - 5/56*a**4 + 0*a**3. Factor i(r).
-3*r*(r + 5)/7
Suppose -s - 5*x + 149 = 0, 0*x = 3*x - 15. Suppose -62*b**5 + s*b**5 + 55*b**2 - 15*b**4 + 30*b + 15*b**3 - 67*b**5 = 0. Calculate b.
-3, -1, 0, 2
Suppose 14146/7*y**3 - 14*y**5 + 4096/7*y - 12354/7*y**2 - 456/7 - 762*y**4 = 0. What is y?
-57, 2/7, 1
Let m = -2917/30 + 1471/15. Solve -5/2*d + 10/3 - m*d**2 = 0 for d.
-4, 1
Let -1734*f**2 + 297*f**3 + 193*f**3 + 1740*f - 1320 - 286*f**3 + 1108*f + 2*f**4 = 0. Calculate f.
-110, 1, 6
Let w(n) = 22*n**3 + 1230*n**2 + 25208*n. Let o = -266 + 271. Let j(a) = 15*a**3 + 820*a**2 + 16805*a. Let r(u) = o*w(u) - 7*j(u). Factor r(z).
5*z*(z + 41)**2
Let z(n) = 132*n**3 - 177*n + 83. Let k(a) = 133*a**3 - 178*a + 82. Let y(f) = -3*k(f) + 2*z(f). Find r, given that y(r) = 0.
-4/3, 2/3
Let z(c) be the second derivative of 3*c**7/14 + 133*c**6/30 - 39*c**5/20 - 133*c**4/12 + 5*c**3 + 4712*c. Solve z(m) = 0 for m.
-15, -1, 0, 2/9, 1
Let d be 25*((-32)/(-10) - 3). Suppose -d*m + 1 = -14. Factor 4*k + 3*k**2 - 3*k**m - 4*k + 2*k**3.
-k**2*(k - 3)
Determine d, given that -875420*d + 1100/7*d**4 + 430612 - 4/7*d**5 + 459160*d**2 - 101560/7*d**3 = 0.
1, 91
Let u(p) = 82*p - 574. Let b be u(7). Let h(j) be the second derivative of 9/2*j**2 - 1/2*j**3 - 4*j + 1/48*j**4 + b. Factor h(c).
(c - 6)**2/4
Let d(h) = -h**4 + 38*h**3 - 28*h**2 - 38*h - 19. Let a(t) = -2*t**4 + 35*t**3 - 26*t**2 - 39*t - 12. Let b(x) = 4*a(x) - 3*d(x). What is k in b(k) = 0?
-1, 1/5, 3
Let k(a) be the third derivative of -7 + 0*a**3 - 1/2*a**4 - 1/5*a**5 + 0*a + 8*a**2 - 1/40*a**6. Suppose k(n) = 0. What is n?
-2, 0
Let f(b) = -5*b**3 + 9*b**2 - 17*b - 31. Let i be f(6). Let m = -4439/5 - i. Factor 2/5*o**3 - m*o + 0*o**2 - 4/5.
2*(o - 2)*(o + 1)**2/5
Let u = 93 + -92. Let s = 4 + u. Factor s - 5*n**2 + 4*n**2 + 16*n**2 + 0*n**2 + 20*n.
5*(n + 1)*(3*n + 1)
What is o in 23409/7*o + 0 + 3/7*o**4 - 297/7*o**3 + 6885/7*o**2 = 0?
-3, 0, 51
Let s(t) = 5*t**2 + 5*t + 16. Let v be s(-4). Let a = -67 + v. Solve 63*w - 3*w**4 + 12*w**2 - 63*w + a*w**3 = 0.
-1, 0, 4
Let n(h) be the first derivative of -49*h**4/20 + 1477*h**3/15 + 1293*h**2/10 + 279*h/5 + 4328. Suppose n(j) = 0. What is j?
-3/7, 31
Let a = 14218 - 14213. Let z(t) be the first derivative of -3/10*t**a + 0*t**2 + 1/3*t**3 - 1/8*t**4 - 1 + 0*t. Suppose z(i) = 0. Calculate i.
-1, 0, 2/3
Suppose 4705 - 2713 = 332*z. Let -20/3 + 2/3*d**2 - z*d = 0. Calculate d.
-1, 10
Let s(v) be the first derivative of -2*v**7/945 - v**6/135 + v**5/135 + v**4/27 - 6*v**2 - 63. Let q(l) be the second derivative of s(l). Solve q(y) = 0 for y.
-2, -1, 0, 1
Let r be -28 + 31 + -1 + 0. Let k(l) be the third derivative of 1/300*l**6 + 0 + 1/15*l**3 + 0*l + 8*l**r - 1/150*l**5 - 1/60*l**4. Suppose k(m) = 0. What is m?
-1, 1
Let n(z) be the third derivative of -z**6/30 + 173*z**5/15 + 29*z**4 + 2*z**2 + 46. Factor n(i).
-4*i*(i - 174)*(i + 1)
Let x = -2/21053 + 4126406/189477. Suppose i - 1 = 2*r, -16*i + 10 = -5*r - 12*i. Factor 56/9*f + 4/9*f**r + x.
4*(f + 7)**2/9
Let h(t) be the third derivative of -t**5/510 - 263*t**4/204 + 12*t**2. Solve h(j) = 0.
-263, 0
Let v = -395218 + 395224. Solve 10*f - 51/2*f**4 - 5*f**5 - 41*f**3 + v - 33/2*f**2 = 0 for f.
-2, -1, -3/5, 1/2
Factor 295*w**3 - 152*w**3 - 546*w - 145*w**3 - 792 - 100*w**2.
-2*(w + 3)**2*(w + 44)
Let q = -12019/5 - -2404. Let j(x) be the third derivative of x**2 + q*x**5 + 0*x + 1/6*x**4 + 0*x**3 + 0. Factor j(k).
4*k*(3*k + 1)
Let a be 5 + (8/12)/((-1)/9). Let p(x) = 44*x + 47. Let k be p(a). Factor 4/5*q**k + 0*q**2 - q**4 + 0 + 0*q + 1/5*q**5.
q**3*(q - 4)*(q - 1)/5
Let n(b) be the second derivative of -11/9*b**3 + 0*b**2 - 1/54*b**4 + 4*b + 8. Factor n(m).
-2*m*(m + 33)/9
Let s = 142 - 119. Determine t, given that -s - 195*t - 190*t**2 - 45*t**3 + 17*t - 17 - 42*t = 0.
-2, -2/9
Let v(z) be the first derivative of -10*z**3 + 0*z**4 + 0*z + 3/2*z**6 - 59 - 9/2*z**2 + 6*z**5. Find o, given that v(o) = 0.
-3, -1, -1/3, 0, 1
Let i = -31 + 41. Suppose -i = -32*o + 27*o. Factor -3*q**2 + o*q - 65*q**4 + 66*q**4 - 4*q.
q*(q - 2)*(q + 1)**2
Let s be -24*(-22)/(-88)*(-20)/18. Factor -1/6*n**2 - 200/3 - s*n.
-(n + 20)**2/6
Let k(y) be the second derivative of -y**5/5 + 14*y**4/3 + 842*y**3/3 + 812*y**2 + 282*y - 3. Let k(q) = 0. Calculate q.
-14, -1, 29
Solve 10*k**3 - 309370*k**4 + 1584 + 1686*k**2 + 309368*k**4 + 38*k**3 + 3220*k = 0 for k.
-18, -1, 44
Let z be (8/(-5))/(18/45) + (-15)/(360/(-112)). Factor 4/3*d**2 + 5/3*d + z + 1/3*d**3.
(d + 1)**2*(d + 2)/3
Let b(n) = 13*n**2 - 33*n - 1163. Let g(h) = 11*h**2 - 38*h - 1162. Let a(t) = 6*b(t) - 7*g(t). Factor a(v).
(v + 34)**2
Let n = -560 + 496. Let p be ((-12)/48)/(4/n). Suppose 4/3*r**p + 14/3*r**3 + 2/3 + 10/3*r + 6*r**2 = 0. What is r?
-1, -1/2
Suppose 3/5*n**3 + 0*n**2 - 18 - 93/5*n = 0. What is n?
-5, -1, 6
Determine j, given that 42*j**2 + 14*j**4 - 14*j**4 - 200 + j**4 + 170*j - 3*j**4 - 10*j**3 = 0.
-5, 1, 4
Suppose -2 = 4*n - 2*w, 4*n + 0 = 4*w - 12. Let a(y) = -y**3 + 1. Let u(k) = 3*k**3 - 2*k**2 - k. Let b(o) = n*a(o) + u(o). Factor b(g).
(g - 2)*(g - 1)*(g + 1)
Determine a, given that -202/3*a + 22*a**3 - 2/3*a**4 + 44 + 2*a**2 = 0.
-2, 1, 33
Let b(w) be the first derivative of -w**8/560 + w**7/140 + w**6/40 - w**5/5 + w**4/2 + 50*w**3/3 + 65. Let h(z) be the third derivative of b(z). Factor h(x).
-3*(x - 2)*(x - 1)**2*(x + 2)
Let j(g) be the first derivative of -g**8/4200 + g**7/420 - g**6/225 - 50*g**3/3 - 5. Let u(b) be the third derivative of j(b). Factor u(t).
-2*t**2*(t - 4)*(t - 1)/5
Let m be 2 - -2 - 2/2. Factor -s**4 + 5*s - 4*s + 3*s - 10*s**2 - 7*s**4 - 22*s**m.
-2*s*(s + 1)*(s + 2)*(4*s - 1)
Suppose -262*l = -175*l - 174. Let q(b) be the third derivative of -1/10*b**6