 + (-14)/(-2). Find w such that 3/7 + i*w**2 - 6/7*w = 0.
1
Suppose -3*q + 11*m - 16*m = 6, 2*m = -3*q + 3. Let k(u) be the first derivative of 0*u - 9/5*u**5 + 6 - 1/2*u**6 + 0*u**2 - 9/4*u**4 - u**q. Factor k(f).
-3*f**2*(f + 1)**3
Factor 314/3*m**2 + 88*m + 6*m**4 + 24 + 44*m**3.
2*(m + 3)**2*(3*m + 2)**2/3
Let c(i) = 2*i + 13. Let f be c(-4). Let o(p) be the second derivative of -1/20*p**f + 4*p + 0*p**3 + 1/4*p**4 - 2*p**2 + 0. Find n, given that o(n) = 0.
-1, 2
Let m(d) be the second derivative of -d**5/300 - d**4/40 + 2*d**3/15 + d**2/2 + 2*d. Let n(u) be the first derivative of m(u). Factor n(o).
-(o - 1)*(o + 4)/5
Let l(y) be the second derivative of y**6/150 + y**5/10 - 4*y**4/15 - 29*y**3/15 - 33*y**2/10 + 35*y - 1. Determine s so that l(s) = 0.
-11, -1, 3
Let o(p) = 6*p**5 + 19*p**4 - 33*p**3 - 174*p**2 - 167*p - 24. Let s(d) = -d. Let w(y) = -o(y) - 5*s(y). Factor w(k).
-(k - 3)*(k + 2)**3*(6*k + 1)
Let u(z) = 8*z**4 + 3*z**3 - 11*z**2 + 14*z + 7. Let d(v) = -v**4 + v**2 - 2*v - 1. Let n(a) = 21*d(a) + 3*u(a). Factor n(c).
3*c**2*(c - 1)*(c + 4)
Let t(l) = -5*l**4 + 25*l**3 - 117*l**2 + 141*l + 3. Let y(s) = -24*s**4 + 126*s**3 - 586*s**2 + 706*s + 14. Let m(o) = -14*t(o) + 3*y(o). Factor m(w).
-2*w*(w - 6)**2*(w - 2)
Let r = -9 + 3. Let z be 1*28/(r/(-3)). Factor -2*b - 9*b**2 + 22*b**2 - z*b**3 - 7*b**5 + 23*b**4 - 13*b**3.
-b*(b - 1)**3*(7*b - 2)
Let r(d) be the first derivative of -2*d**3/33 + 236*d**2/11 - 27848*d/11 - 499. Let r(w) = 0. Calculate w.
118
Let v(b) be the second derivative of 24*b + 0 + 0*b**2 + 1/42*b**3 + 1/84*b**4. Suppose v(l) = 0. What is l?
-1, 0
Let b(n) be the second derivative of -5*n**7/168 + 21*n**6/40 + 13*n**5/40 - 89*n. Factor b(w).
-w**3*(w - 13)*(5*w + 2)/4
Solve 4/11*i - 2/11*i**4 + 2/11*i**2 + 2/11*i**5 - 6/11*i**3 + 0 = 0.
-1, 0, 1, 2
Let y(m) be the first derivative of 1/25*m**5 - 1/10*m**4 + 13 + 0*m**2 + 0*m - 1/5*m**3. Factor y(s).
s**2*(s - 3)*(s + 1)/5
Let y(r) be the third derivative of -r**7/1120 + r**6/160 + r**5/160 - 3*r**4/32 - 29*r**3/6 + r**2. Let b(l) be the first derivative of y(l). Factor b(p).
-3*(p - 3)*(p - 1)*(p + 1)/4
Suppose 3*c + 6 = 4*l, 5*l + 2*c = 26 - 7. Factor 0 + 3/2*u**4 - 3/2*u**l - 3*u**2 + 0*u.
3*u**2*(u - 2)*(u + 1)/2
Let 482 - 40*c - 60*c**2 - 482 + 5*c**4 - 40*c = 0. What is c?
-2, 0, 4
Let m(y) = 80*y**2 - 60*y + 12. Let l(g) = -9*g**2 + 12*g**2 - 6*g**2 + 2*g**2. Let w(x) = 5*l(x) + m(x). Suppose w(s) = 0. Calculate s.
2/5
Let l be (13/130)/(((-120)/50)/(-6)). Determine c, given that 0*c + l*c**4 + 1/2*c**3 + 0 + 1/4*c**2 = 0.
-1, 0
Let f = -299/42 - -51/7. Factor 1/3*x**2 + f*x**4 + 1/2*x**3 + 0 + 0*x.
x**2*(x + 1)*(x + 2)/6
Let l be (-2 - (-8)/5)*675/(-20). Let m(u) be the second derivative of -15*u**3 + l*u**2 + 0 + 9*u + 25/4*u**4. Determine x, given that m(x) = 0.
3/5
Let y be (-17)/(-7) - (-3)/(-7). Factor 2*r**y - 69*r - 88*r + r**2 + 172*r.
3*r*(r + 5)
Let d(o) be the second derivative of -o**6/1080 - o**5/45 - 2*o**4/9 - 8*o**3/3 - 3*o. Let z(n) be the second derivative of d(n). Let z(k) = 0. Calculate k.
-4
Let k(v) be the second derivative of -v**4/36 + 58*v**3/9 - 1682*v**2/3 - 290*v. Solve k(j) = 0.
58
Let j be 3/(-2) - 25276/(-56). Let m = j + -449. Factor 3/7*n**2 + 9/7*n**3 + 3/7*n**4 - m - 9/7*n.
3*(n - 1)*(n + 1)**2*(n + 2)/7
Factor -11346*i**2 + 170*i + 555 + 22686*i**2 - 11345*i**2.
-5*(i - 37)*(i + 3)
Let j(z) = -z**3 - z. Let w(f) = 4*f**4 - 109*f**3 + 772*f**2 - 1253*f + 576. Let i(c) = -5*j(c) + w(c). Find k, given that i(k) = 0.
1, 12
Let j(r) be the first derivative of 5/12*r**3 + 1/4*r**2 + 1/16*r**4 - 2*r - 6. Solve j(u) = 0.
-4, -2, 1
Let r = -1 + 5. Suppose 8 - 24 = -r*a. Factor -6*f**2 + a*f**2 - 3*f**3 - 2*f**4 - 2*f**2 + 9*f**3.
-2*f**2*(f - 2)*(f - 1)
Let r(x) be the third derivative of -x**6/600 - x**5/25 - 17*x**4/120 + x**3 - 241*x**2. What is g in r(g) = 0?
-10, -3, 1
Let s be (-3)/(126/12)*4*588/(-63). Factor 8/3*b + 4/3*b**3 + s - 20/3*b**2.
4*(b - 4)*(b - 2)*(b + 1)/3
Suppose 0 = -40*r + 37*r. Let a be (-2)/(-12)*(r - -3). Determine y so that 1/4*y**2 + a*y + 0 = 0.
-2, 0
Let t = 53338/475 + -2802/25. Find n such that 10/19 + 24/19*n**2 + t*n**3 - 2/19*n**4 + 28/19*n = 0.
-1, 5
Let h be 116/10962*9*(-1 + 7 + 1). Determine o so that h*o**4 + 14/3*o**2 + 10/3*o**3 + 0 + 2*o = 0.
-3, -1, 0
Let b(g) be the third derivative of g**5/45 - 10*g**4 + 1800*g**3 + 285*g**2. Factor b(k).
4*(k - 90)**2/3
Let v(q) = -20 + 39 + 8*q**2 - q**3 - 19. Let w be v(8). Factor w*d - 9/2*d**2 + 3/2*d**3 + 6.
3*(d - 2)**2*(d + 1)/2
Let s be (-4)/(-6) + (-4)/6. Suppose -3*z + z + 40 = s. What is t in -z*t - 3*t**3 + 40*t - 3*t**2 - 17*t + 3 = 0?
-1, 1
Factor 11 + 37 - 35 + v**2 - 14*v.
(v - 13)*(v - 1)
Let i(t) be the third derivative of -t**8/1344 - t**7/140 - t**6/80 + t**5/15 + 5*t**4/32 - 3*t**3/4 + 53*t**2. What is k in i(k) = 0?
-3, -2, 1
Let y be 70/(-7)*(-2)/5. Suppose -q = q - y. Factor 2*u**4 + q*u**3 + 68*u - 68*u - 4*u**2.
2*u**2*(u - 1)*(u + 2)
Let m be -14*(-3)/24 - (-8)/32. Let i(q) be the first derivative of 0*q + 1/8*q**m - 1/6*q**3 - 6. What is f in i(f) = 0?
0, 1/2
Let s(u) be the second derivative of -u**4/12 - 5*u**3/6 + u**2 - 4*u - 8. Let p be s(-5). Factor 4*k + 0 - 4/3*k**p.
-4*k*(k - 3)/3
Suppose 1569 = 347*m + 176*m. Determine l so that 52/3*l + 20/3*l**5 + 152/3*l**m - 8/3 - 128/3*l**2 - 88/3*l**4 = 0.
2/5, 1
Let d be 2*(-1)/(-2) + 10/(-5). Let w be 0/(((-3)/(-3))/d). Factor s - 7/2*s**2 + w.
-s*(7*s - 2)/2
Let a(p) = -p**2 + 12*p - 25. Let c be (6/1 - 1) + 4. Let o be a(c). Factor -1/5*l + 0 + 3/5*l**o.
l*(3*l - 1)/5
Suppose 5 = -5*z, 4*z + 51 = 5*p - 63. Suppose -8*u + p = -2. Find l, given that 2/5*l**u - 2/5*l + 1/5 + 0*l**2 - 1/5*l**4 = 0.
-1, 1
Let u(z) = z**3 - 2*z - 1. Let q be u(2). Suppose 2*x + 5*d = x + 2, -2*x + q*d = -4. Factor 4 + 0*i**2 + 2*i + 2*i**x - 4 - 4.
2*(i - 1)*(i + 2)
Let a(w) be the third derivative of -w**8/84 - 10*w**7/7 - 125*w**6/2 - 3125*w**5/3 + 106*w**2. Solve a(q) = 0 for q.
-25, 0
Let d be 5/(-50)*6*(-5)/2. Solve 0*a**4 + 0*a**2 + 3/4*a**5 + 0 + 3/4*a - d*a**3 = 0.
-1, 0, 1
Let -1/6*m + 5/6 - 5/6*m**2 + 1/6*m**3 = 0. What is m?
-1, 1, 5
Suppose -3*u = -3*v + 18, 4*u + 1228*v = 1224*v + 24. Factor 0*x + u*x**2 + 0 - 1/3*x**3.
-x**3/3
Suppose -62 = -6*t - 2. Let o(j) = 2*j**2 - 22*j + 20. Let c be o(t). Factor c + 1/3*i**4 + 1/3*i**5 - 5/3*i**2 - 2/3*i - i**3.
i*(i - 2)*(i + 1)**3/3
Let v(f) be the third derivative of 4/3*f**3 + 0 + 1/3*f**4 + 8*f**2 + 0*f + 1/30*f**5. Suppose v(s) = 0. What is s?
-2
Let t(k) be the third derivative of -1/20*k**6 + 0*k - 3/20*k**5 + 0 + 1/70*k**7 + 6*k**2 + 0*k**4 + 0*k**3. Factor t(a).
3*a**2*(a - 3)*(a + 1)
Let q = 24/53 - -10075/106. Let t = 100 - q. Find s such that 0*s**2 + t*s - 3/2*s**3 + 3 = 0.
-1, 2
Let o(c) be the third derivative of c**6/900 - 53*c**5/225 - 43*c**4/36 - 12*c**3/5 - 10*c**2 - 2*c. Solve o(y) = 0.
-1, 108
Suppose 2/7*b**2 + 0 + 10/7*b - 10/7*b**3 - 2/7*b**4 = 0. Calculate b.
-5, -1, 0, 1
Solve 0*d**3 - 5/6*d**4 + 0*d + 5/6*d**2 + 0 = 0.
-1, 0, 1
Factor 0 - 4/3*m**4 + 4/3*m**2 + 0*m**3 + 2/3*m**5 - 2/3*m.
2*m*(m - 1)**3*(m + 1)/3
Let p(m) = -m**2 - m + 1. Let i be 4/(16/10) + (-1)/2. Let v(f) = 5*f**2 + 17*f + 10. Let b(a) = i*p(a) + v(a). Find o such that b(o) = 0.
-4, -1
Factor 14 + 1/2*q**2 - 8*q.
(q - 14)*(q - 2)/2
Suppose -7*k + 11*k - 24 = 4*o, 0 = 4*k - 2*o - 16. Suppose 0*y - 3 = v + y, -4*y = 20. Factor -4/9*w + 0 - 14/9*w**3 + v*w**k.
-2*w*(w - 1)*(7*w - 2)/9
Let u(r) = 9*r + 9. Let g(z) = 2*z. Let h(o) = -4*g(o) + u(o). Let w be h(-5). Let -w*c - 6 - 2/3*c**2 = 0. Calculate c.
-3
Let k be 221/51 + -3 - 2/(-12). Let l(n) be the second derivative of -1/14*n**7 + 3/10*n**5 + 2*n + 1/2*n**4 + 0 - 1/2*n**3 - 1/10*n**6 - k*n**2. Factor l(i).
-3*(i - 1)**2*(i + 1)**3
Let c(u) be the third derivative of 1/33*u**3 + 1/660*u**6 + 0*u + 0 + 1/110*u**5 + 1/44*u**4 - 6*u**2. Suppose c(k) = 0. Calculate k.
-1
Let f be (287/410)/((-7)/(-4)). What is x in 0 + 1/5*x**2 - 4/5*x**3 - f*x**5 + x**4 + 0*x = 0?
0, 1/2, 1
Factor -32/5 + 2/5*n**2 + 0*n.
2*(n - 4)*(n + 4)/5
Suppose -3*x = 2*x - 25. Suppose x*f = -0*f. Factor 10 - 5 - 6*l + f*l**2 + 2*l**2 - 1.
2*(l - 2)*(l - 1)
Let t(r) = 6 + 2*r + 8 + 3 - 5. Let m be t(-5). Supp