 + 19*v + 108. Let p be x(-4). Let q be (4/(-54))/(4/(-36)) - p. Determine o so that 10/3*o + q*o**2 + 8/3 = 0.
-4, -1
Let v be (6/(-10))/(13/(-390)). Let a be 78/v - 2 - (-2)/3. Solve 3 - 6*t + 4*t**3 - 4*t**4 - 8*t**2 + 6 + 2*t**3 + a*t**4 = 0 for t.
-1, 1, 3
Suppose -52/11*c - 12/11*c**3 - 2/11*c**4 + 48/11*c**2 + 18/11 = 0. What is c?
-9, 1
Let r(j) be the second derivative of j**4/27 + 262*j**3/9 - 6*j - 32. Determine t so that r(t) = 0.
-393, 0
Let j(i) be the second derivative of -i**5/90 - 107*i**4/54 - 211*i**3/27 - 35*i**2/3 + 283*i - 1. Find f such that j(f) = 0.
-105, -1
Let r = 505 - 501. Determine u, given that u**2 - 10*u**3 + 10*u + 3*u**2 - 16547 + 16540 + 3*u**r = 0.
-1, 1, 7/3
Let i(m) be the first derivative of 0*m - 3/2*m**2 - 1/4*m**3 - 236. Factor i(a).
-3*a*(a + 4)/4
Suppose 2*o - 1330 = o - 4*y, -y - 3977 = -3*o. Let m = o + -1321. Find c, given that 1/9*c**2 - 1/3*c**m - 2/9*c + 5/9*c**3 + 0 - 1/9*c**4 = 0.
-1, 0, 2/3, 1
Let y(m) be the first derivative of 2*m**3/9 - 1048*m**2/3 + 549152*m/3 + 2136. Factor y(w).
2*(w - 524)**2/3
Let c(u) be the second derivative of -1/2*u**2 + 44*u - 1/120*u**6 + 5/48*u**4 + 0*u**5 + 2 + 0*u**3. Suppose c(q) = 0. Calculate q.
-2, -1, 1, 2
Suppose 0 = 6*r - 5*r - 4. Let u(h) = 120*h**2 + h - 1. Let x be u(1). Factor 2*f + 0*f + 2*f**5 - 124*f**2 + 2*f**r + x*f**2 - 4*f**3 + 2.
2*(f - 1)**2*(f + 1)**3
Suppose 0 = -3*u + 49590 - 49590. Factor 0*f - 5/4*f**2 + u.
-5*f**2/4
Factor 18/5*h - 3/5*h**2 + 33.
-3*(h - 11)*(h + 5)/5
Let z(u) be the third derivative of -1/30*u**6 + 1 - 75/2*u**4 + 0*u - 2*u**5 - 56*u**2 + 0*u**3. Suppose z(a) = 0. What is a?
-15, 0
Let b(x) be the third derivative of 242*x**5/15 - 77*x**4/3 + 49*x**3/3 + 1044*x**2. Factor b(m).
2*(22*m - 7)**2
Let x(z) be the third derivative of z**6/840 - z**5/140 - 3*z**4/56 - 5*z**3/42 - 3*z**2 - 55*z. Factor x(n).
(n - 5)*(n + 1)**2/7
Let q be 1/(((-55)/2904)/(-1*36/48)). Factor -21*g + q + 3/5*g**2.
3*(g - 33)*(g - 2)/5
Let k(b) be the third derivative of -b**7/210 + 19*b**6/90 + 2*b**5/3 - 97*b**3/6 + 52*b**2 + b. Let t(x) be the first derivative of k(x). Factor t(q).
-4*q*(q - 20)*(q + 1)
Let l(u) be the first derivative of -4/11*u**2 - 529/66*u**4 + 92/33*u**3 - 17 - 25*u. Let a(c) be the first derivative of l(c). Factor a(h).
-2*(23*h - 2)**2/11
Determine a so that 125 + 35 + 29*a**2 + 274*a**3 + 17*a**2 + 152*a - 270*a**3 - 2*a**2 = 0.
-5, -4, -2
Let b(u) be the third derivative of u**8/90720 + u**7/756 + 5*u**6/72 - 61*u**5/30 + 162*u**2. Let n(a) be the third derivative of b(a). Factor n(y).
2*(y + 15)**2/9
Solve 1174/11*u + 1/11*u**2 + 344569/11 = 0 for u.
-587
Let m(b) be the third derivative of 5/21*b**3 - 11/84*b**4 + 0 - 13/210*b**5 - 2*b - 39*b**2 + 1/140*b**6. Solve m(p) = 0.
-1, 1/3, 5
Find w such that 3602/3*w**2 + 4 - 364*w**3 - 982/3*w = 0.
1/78, 2/7, 3
Suppose -13*j + 30 = 5*v - 17*j, 2*v - 2*j - 14 = 0. Suppose 7*b - 10*b + 9*b**4 - 55*b**v - 21*b**3 + 70*b**2 = 0. Calculate b.
0, 1/3, 1
Let d(k) = 4*k**4 + 28*k**3 + 61*k**2 + 37*k + 15. Let a(m) = m**4 + 2*m**3 - m + 3. Let i(t) = 5*a(t) - d(t). Let i(c) = 0. What is c?
-2, -1, 0, 21
Suppose -4*w + 38 + 29 = 5*u, -5*u + 2*w = -49. Factor 26*y**3 - 12*y**4 + u*y**4 + 232*y - 150*y + 729 - 216*y**2 + 404*y.
-(y - 9)**3*(y + 1)
Suppose 2/5*b**5 + 16/5*b**2 - 4/5*b**4 + 136/5*b + 96/5 - 6*b**3 = 0. Calculate b.
-2, -1, 3, 4
Let r = -245 + 125. Let w = r - -122. What is k in 2*k - 1/5*k**w - 5 = 0?
5
Factor 197*a**2 - 665*a - 449*a + 1028 + a**3 + 56*a**2 - 363*a + 453*a.
(a - 2)**2*(a + 257)
Let d(y) be the third derivative of 0 - 1/56*y**6 - 3/35*y**5 - 9/56*y**4 + 12*y**2 - 1/7*y**3 + 0*y. Determine s, given that d(s) = 0.
-1, -2/5
Suppose o - 2*o - 3*r = 9, 2*r = 4*o - 20. Let j = 18 - 17. Determine u so that 2*u**o + 8*u**2 - 8*u**4 - 20 + 21 - 2*u**5 - j = 0.
-4, -1, 0, 1
Factor 0*k + 138/13*k**2 - 140/13*k**3 + 0 + 2/13*k**4.
2*k**2*(k - 69)*(k - 1)/13
Suppose 765*s = 188*s + 1409 + 899. Factor 68/7*t**3 + 124/7*t**2 + 4/7*t**s + 60/7*t + 0.
4*t*(t + 1)**2*(t + 15)/7
Let f be ((-6)/272)/((-3)/(-2)) - 1/(-4). Let h(t) be the first derivative of 2/17*t - 10/51*t**3 + f*t**2 - 9. Determine i so that h(i) = 0.
-1/5, 1
Let f(l) be the first derivative of 2*l**3/3 - 209*l**2 - 1472. Factor f(n).
2*n*(n - 209)
Let c be 217/21 + (4/(-3))/(-2). What is p in -20*p + 20*p**2 + 17*p**3 - c*p**3 - 11*p**3 = 0?
0, 2
Let w(z) = 12*z**2 - 54*z - 128. Let l(u) = -14*u**2 + 54*u + 132. Let r(q) = -7*l(q) - 8*w(q). Solve r(p) = 0.
-25, -2
Suppose 45 = 3*l - 5*r, 18 - 22 = -l - 2*r. Suppose l*j - 11*j - 10 = 3*d, -3*j + 2 = d. Suppose 1/4*q**j + 0*q - 1/4 = 0. What is q?
-1, 1
Suppose -4*x**3 + 606 + 6*x**2 - 454 - 144 + 16*x - 2*x**4 = 0. What is x?
-2, -1, 2
Let d be (-4)/(-150)*370/296. Let y(q) be the second derivative of 2/9*q**4 + 2/3*q**2 - 5/9*q**3 + 8*q - d*q**5 + 0. Factor y(h).
-2*(h - 2)*(h - 1)**2/3
Let v be 1140/(-744) + (-6)/(-12). Let o = 664/403 + v. Find l, given that o + 14/13*l**3 + 40/13*l + 46/13*l**2 = 0.
-2, -1, -2/7
Let r(l) be the first derivative of -l**8/840 - l**7/210 + l**6/60 + l**5/15 - l**4/3 + 32*l**3/3 - 4. Let q(x) be the third derivative of r(x). Factor q(w).
-2*(w - 1)**2*(w + 2)**2
Suppose 0 = -2*v - 3*t + 14, 4*v - 2*t + 4 = 16. Let w be 18*1*(-1)/(-16)*v. Factor w + 32*n**2 - 24*n.
(8*n - 3)**2/2
Let w(l) = -46*l**2 - 740*l - 1432. Let a(k) = 29*k**2 + 493*k + 955. Let b(c) = -8*a(c) - 5*w(c). Determine n so that b(n) = 0.
-120, -2
Let t(s) = -11*s**3 - 296*s**2 - 5317*s - 19603. Let q(p) = -130*p**3 - 3555*p**2 - 63805*p - 235235. Let b(u) = 3*q(u) - 35*t(u). Factor b(i).
-5*(i + 5)*(i + 28)**2
Let x(n) be the first derivative of n**4/6 + 10*n**3/3 + 25*n**2 + 22*n - 74. Let a(c) be the first derivative of x(c). Let a(i) = 0. What is i?
-5
Let t be (5/(60/(-4)))/(25/(-60)). Let k(r) be the first derivative of -8*r**2 - 4*r**4 + 13 + 8*r**3 + 4*r + t*r**5. Factor k(y).
4*(y - 1)**4
Let v(b) = -20*b**2 + 5359*b + 268. Let s be v(268). Factor 2/3*m**4 + 8/3*m - 6*m**2 + 8 + s*m**3.
2*(m - 2)**2*(m + 1)*(m + 3)/3
Let h = 248 - -438. Let c = 3434/5 - h. Factor -24/5*q**2 - 48/5*q - c*q**3 - 32/5.
-4*(q + 2)**3/5
Let o = -364393/5 + 72879. Let o*w**3 + 2*w**2 - 2 - 2/5*w = 0. What is w?
-5, -1, 1
Let s = 1072359/4 - 268088. Suppose -8 + s*n**5 - 36*n - 28*n**2 + 15/2*n**4 + 2*n**3 = 0. What is n?
-2, -2/7, 2
Let l(t) be the third derivative of -t**6/720 + 17*t**5/120 - 11*t**4/16 + 7*t**3/6 + 21*t**2. Let h(v) be the first derivative of l(v). What is q in h(q) = 0?
1, 33
Suppose -9 = -4*w - n - 0, -3 = -2*w + n. Factor -25*g - 29 - 5*g**w - 10 + 19.
-5*(g + 1)*(g + 4)
Let i = -289 - -293. Factor 7623*h**4 - 98*h**3 - 10648 - 26*h**3 - 693*h + 1188*h**2 - 1727*h - 7619*h**i.
4*(h - 11)**3*(h + 2)
Let j(v) = 28*v**2 + 337*v - 3*v**3 - 3 - 2 - 329*v. Let o(u) = 3*u**3 - 29*u**2 - 8*u + 6. Let a(w) = 6*j(w) + 5*o(w). Suppose a(m) = 0. What is m?
-1/3, 0, 8
Let t(r) = -r**3 + 14*r**2 + 17. Let y(a) = -a**3 + 15*a**2 + 18. Let v(l) = -6*t(l) + 5*y(l). Let k(x) be the first derivative of v(x). Factor k(p).
3*p*(p - 6)
Let t be (20/(-28))/5 - (-458)/1442. Let y = t - -250/927. Find u, given that 0*u**2 + y*u**3 + 64/9 - 16/3*u = 0.
-4, 2
Factor -30*f**2 + 58*f**2 + 186*f - 32*f**2 - 17*f**2 - 2058*f - 2112.
-3*(f + 88)*(7*f + 8)
Suppose 2*j - 2*t = 58, 6*j + 5*t = 2*j + 89. Let o(l) = -l + 31. Let c be o(j). Factor 0 + 3/4*m**3 - 3/4*m**c + 0*m**4 + 0*m**2 + 0*m.
-3*m**3*(m - 1)*(m + 1)/4
Let p(b) = 4*b**5 + 49*b**4 + 117*b**3 + 5*b**2 - 10. Let x(n) = -n**5 + n**4 - n**3 - n**2 + 2. Let k(q) = -3*p(q) - 15*x(q). Factor k(j).
3*j**3*(j - 56)*(j + 2)
Let n be -5 + 7 + 68 - -7. Factor n*g - 2*g**3 + 48 - 4*g**4 - 141*g + 72*g + 6*g**4 - 20*g**2.
2*(g - 3)*(g - 2)*(g + 2)**2
Suppose -3*x - 256 = -4*d - 250, 3*d = 9. Factor 0*w - 2/5*w**5 + 0 - 6/5*w**4 - 2/5*w**x - 6/5*w**3.
-2*w**2*(w + 1)**3/5
Let z be 180/(-20) - (-7 - 4). Let q(o) be the third derivative of 0*o**4 + 0*o + 34*o**z - 1/1320*o**6 - 1/132*o**5 + 0 + 0*o**3. Factor q(g).
-g**2*(g + 5)/11
Suppose -4*r - 770 = -4*m + 298, 0 = -2*r + 8. Solve -368*q**2 - 423*q**2 + m*q**2 + 180*q + 45*q**4 + 345*q**3 = 0 for q.
-9, 0, 2/3
Let i = 2444/107 - 14219/749. Find s, given that -9/7*s**4 