 = 0. Calculate j.
0, 3, 6
Let c(s) = s. Let i be c(6). Let d be ((-8)/i)/(42/(-9)). What is l in -2/7*l**3 + 0*l**2 + d*l + 0 = 0?
-1, 0, 1
Factor -63*k - 21*k**3 - 28*k**3 + 22*k**3 - 6*k**4 + 96*k**2.
-3*k*(k - 1)*(k + 7)*(2*k - 3)
Let h be (-6)/(-9)*((-90)/(-70) - 1). Let r(i) be the first derivative of 0*i**4 - 4/35*i**5 + 1/21*i**6 - 1/7*i**2 + h*i**3 - 4 + 0*i. Factor r(d).
2*d*(d - 1)**3*(d + 1)/7
Let j(t) = -t**2 + 12*t + 13. Let v(k) = 22 + 6*k + 3 - 2*k - k**2 + 20*k. Let c(w) = -7*j(w) + 4*v(w). Factor c(l).
3*(l + 1)*(l + 3)
Suppose -36*g**2 + 36 + 39*g**3 - 21*g**3 + 4*g - 22*g**3 = 0. Calculate g.
-9, -1, 1
Let u(t) be the second derivative of t**5/105 + t**4/14 + 4*t**3/21 - 5*t**2 + 13*t. Let i(o) be the first derivative of u(o). Factor i(d).
4*(d + 1)*(d + 2)/7
Let c = -233/336 - -5/7. Let q(d) be the second derivative of 0*d**3 + 0 - 12*d + 0*d**2 + c*d**4. Solve q(x) = 0.
0
Let f be (-21)/(-42) + (-3)/(-2). Let b(p) = -p**3 + 9*p**2 - 13*p - 7. Let v be b(7). Factor -3/2*y**f + 0 + v*y - 3/4*y**3.
-3*y**2*(y + 2)/4
Let f be (-4)/(-12) - (6 + 85/(-15)). Let r(q) be the third derivative of f + 0*q + 8*q**2 - 7/15*q**5 + 8/3*q**3 + 1/10*q**6 + 0*q**4. Factor r(k).
4*(k - 2)*(k - 1)*(3*k + 2)
Let u(y) = y**3 + y**2. Let h(c) = -106*c**2 - 1944*c - 11664. Let n(g) = -h(g) + 2*u(g). Factor n(z).
2*(z + 18)**3
Let s be ((-30)/135)/((28/(-9))/2). Find v, given that s*v - 2/7*v**3 + 1/7*v**5 - 4/7*v**2 + 2/7 + 2/7*v**4 = 0.
-2, -1, 1
Let d(b) be the third derivative of -b**5/120 - 17*b**4/96 + 3*b**3/8 + 4*b**2 - 4*b. Factor d(j).
-(j + 9)*(2*j - 1)/4
Let p(x) = 2*x**3 - 24*x**2 - 22*x + 396. Let c(q) = 2*q**3 - 25*q**2 - 24*q + 397. Let z(u) = -4*c(u) + 5*p(u). Factor z(y).
2*(y - 7)**2*(y + 4)
Suppose -16*m - 63 + 51 = -44. Let h(a) = -a**2 + 5*a - 3. Let p be h(3). Solve -u + 0 - 5/2*u**m - 3/2*u**p + 1/2*u**5 + 1/2*u**4 = 0 for u.
-1, 0, 2
Suppose 48*c - 6 + 6 + 51*c**2 - 6*c**2 - 3*c**3 = 0. Calculate c.
-1, 0, 16
Let b be (-5)/(-10) + (-1595)/10. Let x be (-1)/4 - b/60. Factor 18/5 + x*u + 2/5*u**2.
2*(u + 3)**2/5
Suppose 28*m**2 + 32805 - 51*m**2 + 810*m + 28*m**2 = 0. What is m?
-81
Suppose 89*l = 79*l. Let b(t) be the third derivative of t**2 + 1/8*t**3 + l + 1/80*t**5 + 0*t + 5/48*t**4. Factor b(x).
(x + 3)*(3*x + 1)/4
Let t(o) = -24*o**3 - 690*o**2 - 15898*o - 121656. Let r(i) = 5*i**3 + 138*i**2 + 3180*i + 24331. Let v(s) = 14*r(s) + 3*t(s). Factor v(x).
-2*(x + 23)**3
Let m be 153/270 - 2/(-20). Let x(l) be the second derivative of 0 + 4*l**2 + m*l**3 - 7*l - 1/3*l**4. Factor x(k).
-4*(k - 2)*(k + 1)
Let w(s) = s**3 - 9*s**2 - 4. Let o be w(9). Let l(r) = -r**2 - 5*r - 2. Let a be l(o). Let 4*m**a - 5*m + 11*m + 2*m = 0. Calculate m.
-2, 0
Let q(i) be the first derivative of -22*i**5/15 + 8*i**4 - 40*i**3/3 + 16*i**2/3 - 484. Determine n, given that q(n) = 0.
0, 4/11, 2
Factor 4789*t**2 - 4779*t**2 + 153 + 9 + 276*t.
2*(t + 27)*(5*t + 3)
Suppose -22*v - 318 = -384. Let f(x) be the second derivative of 0 - 2*x**2 - 2*x + 1/40*x**5 - 1/4*x**4 + x**v. Factor f(b).
(b - 2)**3/2
Let r = 5/2066 - -7745/1033. Determine y so that 5/6*y**3 - 25/6 - r*y - 5/2*y**2 = 0.
-1, 5
Let z(y) be the third derivative of -1/1440*y**6 + 1/48*y**4 - 1/2*y**3 - 1/480*y**5 + 0 - 6*y**2 + 0*y. Let u(q) be the first derivative of z(q). Factor u(f).
-(f - 1)*(f + 2)/4
Let i(m) = -m**4 + 5*m**2 - 2*m + 2. Let k(f) = f**2 + 1. Let p be (-18)/(-45) - 18/(-5)*1. Let j(d) = p*k(d) - 2*i(d). Suppose j(c) = 0. Calculate c.
-2, 0, 1
Let f(j) be the second derivative of -j**4/6 + 3*j**3 - 20*j**2 + 34*j. Factor f(t).
-2*(t - 5)*(t - 4)
Let r(b) = -b**3 - 5*b**2 + 3*b - 15. Let k be r(-6). Let l(w) be the first derivative of -8/3*w + 10/3*w**k - 1 + 4/3*w**2. Determine f so that l(f) = 0.
-2/3, 2/5
Let d(g) be the third derivative of g**7/315 + g**6/45 + g**5/15 + g**4/9 + g**3/9 - 33*g**2 - 1. Factor d(i).
2*(i + 1)**4/3
Let z(a) be the second derivative of 27*a**2 - 26*a - 39/2*a**3 + 29/4*a**4 - 27/20*a**5 + 0 + 1/10*a**6. Factor z(n).
3*(n - 3)**2*(n - 2)*(n - 1)
Let q(i) be the first derivative of -255/16*i**4 - 1/4*i**2 - 32 - 37/12*i**3 - 875/24*i**6 + 0*i - 155/4*i**5. Factor q(g).
-g*(5*g + 1)**3*(7*g + 2)/4
Let i = 86 - 171/2. Let r be 8/28 - (-4)/(-14). What is j in -9/4*j**3 - i*j**2 - 3/4*j**5 - 5/2*j**4 + 0 + r*j = 0?
-2, -1, -1/3, 0
Let s be 39/14 - 14/(196/35). Factor 0*u + s - 2/7*u**2.
-2*(u - 1)*(u + 1)/7
Let -6 + 116*x + 0*x**2 - 16 - 92 - 2*x**2 = 0. What is x?
1, 57
Let x = 2540 - 22840/9. Let -2/9*h**3 - 50/9*h + 0 + x*h**2 = 0. Calculate h.
0, 5
Suppose 0*n - 10 = -n. Let j = n - 8. Factor -66 + k**j + 68 - 2*k + 5*k.
(k + 1)*(k + 2)
Let i(u) = -35*u**4 + 217*u**3 - 63*u**2 + 3*u - 9. Let t(d) = -105*d**4 + 650*d**3 - 190*d**2 + 10*d - 30. Let r(j) = 10*i(j) - 3*t(j). Factor r(q).
-5*q**2*(q - 6)*(7*q - 2)
Let d(z) = -z**3 + z**2 - z. Let k(w) = -6*w**3 - 146*w**2 - 1442*w - 1296. Let o(r) = -2*d(r) + k(r). Solve o(n) = 0.
-18, -1
Let v(g) = 2*g + 16. Let b be v(-6). Let u be (3 + -2)*b/12. Factor -u - t**2 + 1/3*t**3 + t.
(t - 1)**3/3
Suppose 0 = -11*v + 10*v. Let y be v*(-4)/16 - -4. What is s in -72/11*s - 8/11 - 218/11*s**2 - 98/11*s**y - 252/11*s**3 = 0?
-1, -2/7
Let u(r) be the third derivative of r**8/504 - r**7/105 + r**6/60 - r**5/90 + 63*r**2. Factor u(g).
2*g**2*(g - 1)**3/3
Solve 3*x**4 - 50*x + 8*x**3 - 46*x - 41*x**2 - 43*x**2 - 20*x**3 = 0 for x.
-2, 0, 8
Find s such that -3 - 108*s + 39*s + 8*s**4 + 24*s**3 - 3*s**5 + 4*s**4 - 11 - 30*s**2 - 16 = 0.
-1, 2, 5
Let i(y) be the first derivative of 2/3*y**2 - 5/6*y**4 + 0*y - 2/3*y**3 - 5. Find m, given that i(m) = 0.
-1, 0, 2/5
Let l(x) = 190 + 9*x**2 + 2*x - 190. Let w(h) = 2*h**2 + h. Let z(v) = l(v) - 4*w(v). Factor z(m).
m*(m - 2)
What is l in -12/11 - 2/11*l**2 + 10/11*l = 0?
2, 3
Let o(d) be the first derivative of -d**6/2 + 93*d**5/20 + 9*d**4 - 11*d**3/2 - 33*d**2/2 - 27*d/4 - 264. Let o(z) = 0. What is z?
-1, -1/4, 1, 9
Let u(d) be the first derivative of 1/5*d**5 - d**2 + 0*d**3 + 1/2*d**4 - d - 13. What is c in u(c) = 0?
-1, 1
Let r = 12 + -8. Suppose 3*q - x = x - 1, -r*x = q - 23. Determine t, given that t**2 - 3*t**q - 50*t - t**4 + 3*t**5 + 50*t = 0.
-1, 0, 1/3, 1
Suppose 15/2 + 1/4*g**2 + 31/4*g = 0. Calculate g.
-30, -1
Suppose -6 = 4*q - q - 5*w, -5*q - 3*w = -24. Let o(i) be the second derivative of 3*i - 1/6*i**4 + 0 + 0*i**2 - i**q. Factor o(d).
-2*d*(d + 3)
Factor -132*q**2 - 214*q**2 + 8*q**3 + 12*q - 10*q**4 + 408*q**2.
-2*q*(q - 3)*(q + 2)*(5*q + 1)
Let w(p) be the third derivative of 0*p - 1/30*p**5 + 1/4*p**3 - 6*p**2 + 0 - 11/48*p**4. Factor w(f).
-(f + 3)*(4*f - 1)/2
Solve 3*b**2 - 4*b - 26*b + 307 - 259 = 0.
2, 8
Suppose -4*w + 24 = -4*v, 3 - 18 = 3*v - 2*w. Let l be 26/10 - v/(-5). Factor 4*n**3 + 53 + 60*n - 17 + 11*n**2 + 17*n**l.
4*(n + 1)*(n + 3)**2
Let o(a) be the third derivative of -a**5/150 - 8*a**4/15 + 11*a**3/5 - 4*a**2 + 3. Factor o(l).
-2*(l - 1)*(l + 33)/5
Let l(x) be the first derivative of -3*x**4/26 + 56*x**3/39 - 28*x**2/13 - 64*x/13 + 361. Determine r, given that l(r) = 0.
-2/3, 2, 8
Let k(a) be the second derivative of -a**7/42 + 11*a**6/90 + a**5/20 - 13*a**4/12 + 20*a**3/9 - 2*a**2 + 106*a. Suppose k(m) = 0. Calculate m.
-2, 2/3, 1, 3
Let k(h) be the third derivative of h**7/630 + h**6/360 - h**5/36 + h**4/24 - 14*h**2. Solve k(n) = 0.
-3, 0, 1
Let i(w) be the third derivative of 1/114*w**4 + 0*w**3 + 0*w + 1/228*w**6 + 0 - 5*w**2 + 7/570*w**5. Factor i(p).
2*p*(p + 1)*(5*p + 2)/19
Let d(m) be the first derivative of -m**5/7 + m**4/4 + 8*m**3/21 - 2*m**2/7 - 524. Factor d(p).
-p*(p - 2)*(p + 1)*(5*p - 2)/7
Factor -6*u + 33 - 9 - 3*u**2 + 9*u + 3*u.
-3*(u - 4)*(u + 2)
Let f = 499981/229163 + 1/20833. Factor -8/11*n**3 + 2/11*n**4 - f*n**2 + 64/11*n + 128/11.
2*(n - 4)**2*(n + 2)**2/11
Let p = -3/575 + 366/4025. Let t(v) be the second derivative of 0*v**2 - 11/50*v**5 + 5*v + 4/15*v**3 - 2/15*v**4 + 0 + p*v**7 + 2/25*v**6. Factor t(b).
2*b*(b + 1)**2*(3*b - 2)**2/5
Find p, given that 34*p**3 - 26 - 10*p**4 + 18 + 36*p**4 + 6*p**2 - 16*p + 6*p**5 = 0.
-2, -1, 2/3
Let k = -5 - -2. Let s be 0 - (0 - (-3 - k)). Factor -3/5*h**2 + s - 3/5*h.
-3*h*(h + 1)/5
Let y(q) = q + 1321*q**3 - 1 + 5 - 1320*q**3 - 3. Let d(p) = -9*p*