t i(v) = -14 - 12*v - 4*v**2 - 349*v**3 - 350*v**3 + 701*v**3 + 8*v**4. Let h(t) = t**4 - t**2 - t - 1. Let k(o) = 10*h(o) - i(o). Factor k(s).
2*(s - 2)*(s - 1)*(s + 1)**2
Let k be -6*-14*(-9)/(-189). Solve -2/5*l**k + 0 + 0*l + 0*l**2 + 2/5*l**3 = 0 for l.
0, 1
Suppose 44*f + 12 = 47*f. Factor 26*w**3 + 4 + 8*w**4 - f + 86*w**2 - 112*w**2 - 8*w.
2*w*(w - 1)*(w + 4)*(4*w + 1)
Factor 40*p**2 + 32*p**2 + 32*p**2 + 32*p**2 + 18*p - 135*p**2.
p*(p + 18)
Let u be (-17)/(-70) + -16 + 8427/530. Factor -u*k**3 - 3/7*k**2 + 18/7*k + 0.
-k*(k - 3)*(k + 6)/7
Let i be 130/8*2*(-478)/(-20). Let m = -776 + i. Suppose 3/8 - m*c + 3/8*c**2 = 0. Calculate c.
1
Let i(p) = 349*p**2 - 18*p + 70. Let m(b) = 3*b - 10. Let j(x) = -i(x) - 7*m(x). Factor j(r).
-r*(349*r + 3)
Let c be 4 + (8435/90)/(-7). Let m = c + 59/6. Solve 4/9*h + 1/3*h**2 - 1/9*h**4 - 2/9*h**3 - m = 0.
-2, 1
Let n(v) be the first derivative of 5*v - 119 + 15/2*v**2 - 20/3*v**3. What is d in n(d) = 0?
-1/4, 1
Let k(b) be the first derivative of 21/2*b**4 + 1/3*b**6 + 6*b**2 + 102 + 0*b - 38/3*b**3 - 18/5*b**5. Find r, given that k(r) = 0.
0, 1, 6
Let k = -253253 + 253256. Find h such that 0 + 2/3*h**2 - 1/6*h**k + 0*h = 0.
0, 4
Let b be 7*(-4)/(-196) - (1/(-7))/(-1). Let p(w) be the second derivative of -5/11*w**2 - 14*w - 1/3*w**3 + b - 1/33*w**4. Factor p(i).
-2*(i + 5)*(2*i + 1)/11
Let j be (3 + -11 - -6) + 16. Let 2078*b**2 - 5*b**3 + 9*b - 15*b - 2103*b**2 - j*b = 0. Calculate b.
-4, -1, 0
Suppose -3 = 3*b + 4*x + 11, 13 = 4*b - x. Suppose -b*g + 5*h = -16, 6*g - h = 8*g - 4. Factor -59*k**3 + 35*k**4 + 5*k**2 - 4*k - g*k**2 + 26*k**2.
k*(k - 1)*(5*k - 2)*(7*k - 2)
Let o(x) be the first derivative of -5*x**4/4 + 80*x**3/3 + 2375*x**2/2 - 39710*x - 9266. Factor o(m).
-5*(m - 19)**2*(m + 22)
Factor 239*l**2 - 52*l**3 - 305*l**2 + 80*l**3 - 224*l - 128 - 2*l**4.
-2*(l - 8)**2*(l + 1)**2
Factor -32/3*t**3 - 1/3*t**5 + 16/3*t**2 + 128/3 - 4*t**4 + 48*t.
-(t - 2)*(t + 2)**3*(t + 8)/3
Let t(b) be the first derivative of -5/4*b**4 - 55/2*b**2 + 123 + 25*b + 35/3*b**3. Factor t(q).
-5*(q - 5)*(q - 1)**2
Let h(u) = -8*u + 104. Let t be h(12). Factor 134*w**2 + t*w - 129*w**2 - w - 47*w.
5*w*(w - 8)
Let p = 4 + -3. Let r(d) = -2*d**3 - 14*d**2 + 8*d - 4. Let l(q) = -23 + 22 - 4*q**2 + 3*q**2. Let x(a) = p*r(a) - 12*l(a). Suppose x(g) = 0. Calculate g.
-2, -1, 2
Let o(n) be the first derivative of -n**3 - 3/2*n**4 + 3/2*n**2 + 48 + 0*n. Solve o(a) = 0.
-1, 0, 1/2
Let s(t) be the second derivative of t**7/140 - t**6/120 - t**5/40 + t**4/24 - 77*t**2/2 - 220*t. Let y(i) be the first derivative of s(i). Factor y(m).
m*(m - 1)*(m + 1)*(3*m - 2)/2
Let f be (-154 - 158208/(-1030))*6/4*(-140)/18. Find u, given that -1/6*u**5 - 17/6*u**4 - 22/3*u**3 + 0*u + 0 - f*u**2 = 0.
-14, -2, -1, 0
Suppose 5*y - 28 = 2*o - 5, 0 = -5*y + 25. Suppose -o + 31 = 3*z. Determine h so that -8*h**2 + z*h**2 - 17*h + 15*h = 0.
0, 1
Let f(s) be the first derivative of 2*s**6 - 44*s**5/5 - 37*s**4 - 116*s**3/3 - 12*s**2 - 55. Solve f(h) = 0.
-1, -1/3, 0, 6
Let s(p) = -2*p**3 + p**3 + 3*p**2 + 9*p - 1002 + 1007. Let m be s(5). What is k in 64*k**2 + 1 + m - 65*k**2 = 0?
-1, 1
Let c be (1 + 4 - (22 + -16))*-2. Suppose 2*z + 3*h = -9, -c*z = 7*h - 9*h - 16. Factor 1/4*s**4 - 9/4*s**2 - 11/4*s - 1 - 1/4*s**z.
(s - 4)*(s + 1)**3/4
Let x = -236 + 241. Let l(m) be the second derivative of x*m - 1/90*m**5 + 0 + 1/9*m**3 + 2/9*m**2 + 0*m**4. Determine g, given that l(g) = 0.
-1, 2
Let u(f) = -3*f**3 + 19*f**2 + 12*f - 4. Let n(y) = y**3 - 3*y + 1. Let o(q) = -4*n(q) - u(q). Factor o(i).
-i**2*(i + 19)
Let g = 488 - 785. Let p be (-18)/g*63 - (-4)/22. Determine t so that -1/3 + 1/6*t**p + 1/6*t**2 - 1/2*t**3 + 1/2*t = 0.
-1, 1, 2
Let q = 377171/10 - 37717. Factor -9/10*w - 9/10 + 1/10*w**3 + q*w**2.
(w - 3)*(w + 1)*(w + 3)/10
Let m = 44 + -38. Suppose 330 = m*a - a. Suppose -71*w**2 + 8*w + 101*w**2 + 28*w**3 - a*w**2 = 0. What is w?
0, 2/7, 1
Let q(s) be the first derivative of 40*s**2 + s**5 - 23 + 0*s + 40/3*s**3 - 35/4*s**4. Find h, given that q(h) = 0.
-1, 0, 4
Let y(k) = -4*k**3 + 11*k**2 - 6*k - 18. Let d be y(5). Let g = 273 + d. Factor -3/7*n**3 + g*n**2 + 0 - 3/7*n**4 + 0*n.
-3*n**3*(n + 1)/7
Let r(m) = -19*m**4 + 38*m**3 + 547*m**2 - 3445*m - 8800. Let g(d) = 11*d**4 - 20*d**3 - 273*d**2 + 1723*d + 4400. Let q(p) = -5*g(p) - 3*r(p). Factor q(z).
2*(z - 10)**2*(z + 2)*(z + 11)
Let k be (-12 - 32/(-8)) + 167. Determine o so that -163 + 4*o**4 + 322 - k + 2*o**5 - 6*o**3 = 0.
-3, 0, 1
Let b(f) be the first derivative of -f**6/840 + 4*f**5/105 - 11*f**4/24 + 7*f**3/3 + f**2 - 209*f - 197. Let l(y) be the second derivative of b(y). Factor l(n).
-(n - 7)**2*(n - 2)/7
Suppose 4*l + 12 = -2*f, -400*f + 393*f + 6 = -2*l. Factor f - 12/5*b + 3/5*b**2.
3*b*(b - 4)/5
Factor -4068/7 - 68*n**2 + 2748/7*n + 4/7*n**3.
4*(n - 113)*(n - 3)**2/7
Let w(m) be the second derivative of -16/7*m**2 - 31*m - 2 - 5/42*m**4 - 1/70*m**5 + 22/21*m**3. Factor w(d).
-2*(d - 2)*(d - 1)*(d + 8)/7
Let g(s) be the third derivative of s**6/60 - 118*s**5/15 + 810*s**2. Suppose g(t) = 0. What is t?
0, 236
Let c(n) = -60*n**3 - 62*n**2 - 94*n + 56. Let s(b) = -2*b**3 - b**2 - 4*b + 2. Let y(r) = c(r) - 28*s(r). Suppose y(u) = 0. Calculate u.
-9, 0, 1/2
Let o(f) be the third derivative of -13/60*f**5 - 1/840*f**7 + 1/2*f**4 + 0*f + 88*f**2 + 0 + 0*f**3 + 1/30*f**6. Factor o(i).
-i*(i - 12)*(i - 2)**2/4
Let z(d) = -5*d**4 - 51*d**3 - 200*d**2 - 4*d - 2. Let k(s) = -31*s**4 - 306*s**3 - 1201*s**2 - 26*s - 13. Let l(a) = -2*k(a) + 13*z(a). Factor l(m).
-3*m**2*(m + 6)*(m + 11)
Let g(k) = -16 + 4*k**2 - 6937*k + 4*k**2 - 4*k**2 + 6940*k. Let q be g(2). Factor 0 + 4/3*i**2 - q*i**4 - 1/3*i + i**3.
-i*(2*i + 1)*(3*i - 1)**2/3
Let k(j) = j**2 + 3*j - 5. Let g be k(-4). Let b be 9/(-6)*(1 - (8 + g)). Find o, given that 108 + b*o**2 + 36*o + 8*o**2 - 14*o**2 = 0.
-6
Suppose -3*g + g + 8680 = 0. What is z in -980 + 599*z + 4345*z**3 + 241*z - g*z**3 + 135*z**2 = 0?
-14, 1
Let i(f) be the second derivative of -f**6/15 + 52*f**5/5 - 1772*f**4/3 + 14560*f**3 - 176400*f**2 + 107*f + 3. Factor i(h).
-2*(h - 42)**2*(h - 10)**2
Let s be 26/14 + ((-65)/35 - -2). Factor -21 + 6*v**2 - s*v**4 + 3*v**3 - 4*v**2 + 29*v**2 + 24*v + 1.
-(v - 5)*(v + 2)**2*(2*v - 1)
Suppose 0 = -3*v + 452 + 664. Suppose -126 - 127 - 5*p - p**2 + v - 125 = 0. Calculate p.
-3, -2
Let b = 1404 + -8419/6. Let j(q) be the second derivative of 13*q - 5*q**2 + 0 + 5/12*q**4 + b*q**3. Find x, given that j(x) = 0.
-2, 1
Suppose 0*c = -c - 2*c - 0*c. Let p(o) be the second derivative of 1/2*o**3 + c + 15*o + 9/2*o**2 + 1/48*o**4. Factor p(u).
(u + 6)**2/4
Suppose 0 = -1342*o + 4735*o. Factor 0*b + o + 72/19*b**2 + 2/19*b**3.
2*b**2*(b + 36)/19
Let a(i) be the first derivative of -5*i**6/3 + 12*i**5 + 155*i**4/8 - 95*i**3/6 - 75*i**2/4 + 35*i/2 - 535. Let a(n) = 0. What is n?
-1, 1/2, 7
Suppose c - 12 = 2*w, 17 = 5*c + w + 1. Find f, given that -11*f**2 + c + 19*f**2 - 11*f**2 - 9*f + 8 = 0.
-4, 1
Let l(b) be the second derivative of 1/4*b**4 + 57*b + 0*b**3 + 0 - 27/2*b**2. Factor l(p).
3*(p - 3)*(p + 3)
Determine x so that -32/9*x**3 - 38/3*x**2 - 8/9*x + 152/9 + 2/9*x**4 = 0.
-2, 1, 19
Suppose 2*m + 3*c - 1027 = 0, -245 = -m + 5*c + 288. Find q such that 42*q + 72*q - m - 3*q**2 - 72 - 493 = 0.
19
Let b(o) = -8*o**3 - 125*o**2 + 13*o. Let c = 280 + -274. Let r(q) = 2*q**3 + 31*q**2 - 3*q. Let m(g) = c*b(g) + 26*r(g). Factor m(f).
4*f**2*(f + 14)
Suppose -2*k + 3*k - 3 = 0. Factor 3490*g - 3*g**3 - 3480*g + 8*g**k + 15*g**2.
5*g*(g + 1)*(g + 2)
Solve 912*g**4 - 164*g**2 + 1170*g**3 - 3186*g**2 - 584*g**5 - 203*g - 162 + 1601*g + 616*g**5 = 0.
-27, -3, 1/4, 1
What is a in 21*a**3 - 2 + 8058*a**2 - 8049*a**2 + 0 + 2 + 3*a**5 + 15*a**4 = 0?
-3, -1, 0
Let h = 2202 - 1483. Let h*p**2 - 80*p + 3249 - 718*p**2 - 34*p = 0. What is p?
57
Let o(l) be the second derivative of -l**6/24 - l**5/2 + 10*l**4/3 + l**2 + 63*l. Let y(m) be the first derivative of o(m). Factor y(u).
-5*u*(u - 2)*(u + 8)
Let b(k) = 3*k**2 + 31*k - 21. Let n be b(-11). Let u be (-3)/n - ((-855)/75 + 3). Factor u*z - 18/5*z**2 + 3/5*z**3 - 12/5.
3*(z - 4)*(z - 1)**2/5
Let d be (6 + 8 + (-512)/36)*-9. Let r(u) be the first derivative of -2*u**d + 8*u - 8/3*