-300) - (-1 - 0/(-2)). Determine w, given that -13/5*w**2 + t*w - 7/5*w**3 + 18/5 - 1/5*w**4 = 0.
-3, -2, 1
Let s be (-4)/2*(-1)/3. Let o = 274893 - 274887. Determine w so that 92/3*w**3 + 22*w**4 + 6*w**5 + o*w + 20*w**2 + s = 0.
-1, -1/3
Let h(x) be the first derivative of -2/27*x**3 - 34 - 26/9*x - 14/9*x**2. Determine o so that h(o) = 0.
-13, -1
Suppose -2*a + 27 + 11 = 3*o, 0 = 5*o + 5*a - 70. Factor 36*n**3 - 11*n**2 - 21*n**2 + o*n - n**5 + 3*n**5 - 16*n**4.
2*n*(n - 5)*(n - 1)**3
Let k = 45606/17 + -364831/136. What is b in -k*b**2 - 9/8*b - 7/4 = 0?
-7, -2
Let w(c) be the third derivative of 0 + 18*c + c**2 - 3/10*c**5 - 4*c**4 + 1/60*c**6 - 52/3*c**3. Solve w(u) = 0 for u.
-2, 13
Suppose 0 = -35*p + 32*p + 60. Suppose 6 + 6*r**2 - 32*r**3 - 12*r**4 + p*r**3 + 0*r**2 + 15*r - 3*r**5 = 0. Calculate r.
-2, -1, 1
Let m(z) be the third derivative of z**7/525 + 3*z**6/25 + 17*z**5/25 + 5*z**4/3 + 11*z**3/5 + 383*z**2. Suppose m(d) = 0. What is d?
-33, -1
Let q = 101095/202202 - -3/101101. Determine c, given that 3/2 + q*c**2 - 2*c = 0.
1, 3
Let x = -723980/3 - -241332. Let -x*k - 50/9 + 2/9*k**2 = 0. What is k?
-1, 25
Let b(i) be the second derivative of 0*i**3 + 0*i**2 - 3/16*i**4 - 1/30*i**6 - 147*i + 0 + 3/20*i**5. Determine h, given that b(h) = 0.
0, 3/2
Let d = 5598 - 5561. Let z(g) be the first derivative of -2*g - 2/9*g**3 + 4/3*g**2 + d. Factor z(f).
-2*(f - 3)*(f - 1)/3
Let p(y) be the first derivative of 6*y**4/7 - 1306*y**3/21 - 1581*y**2/7 - 908*y/7 - 9499. Let p(l) = 0. What is l?
-2, -1/3, 227/4
Suppose -2/3*o**2 - 34/3*o + 76/3 = 0. What is o?
-19, 2
Let y(f) = -f - 4. Let s be y(-9). Suppose 0 = -3*z + 3*m, -2*z - 4*m = -7*z + 2. Solve 0*b**2 + s*b**3 - 7*b**2 + b**z + 4*b**3 - 3*b = 0 for b.
-1/3, 0, 1
Let g = 987766/11 - 89794. Factor -2/11*p**3 - 24/11 - 6/11*p**2 + g*p.
-2*(p - 2)*(p - 1)*(p + 6)/11
Let a(f) = 20*f + 340. Let j be a(-17). Let s(x) be the second derivative of j - 7*x + 0*x**2 - 3/160*x**5 - 1/16*x**4 - 1/16*x**3. Factor s(g).
-3*g*(g + 1)**2/8
Let r(h) be the first derivative of -h**4/7 + 4*h**3/21 + 24*h**2/7 - 4698. Factor r(d).
-4*d*(d - 4)*(d + 3)/7
Factor 0 + 6/5*m + 2/5*m**2 - 6/5*m**3 - 2/5*m**4.
-2*m*(m - 1)*(m + 1)*(m + 3)/5
Let g(j) = 2*j**4 + j**3 - j**2 - 33*j. Let w(k) = -15*k**4 - 90*k**3 + 1675*k**2 + 3805*k. Let b(m) = -5*g(m) - w(m). Factor b(z).
5*z*(z - 13)*(z + 2)*(z + 28)
Let j(k) be the second derivative of -k**4/24 + 633*k**3/2 - 3606201*k**2/4 + k - 2777. Factor j(s).
-(s - 1899)**2/2
Let p(j) be the third derivative of -9/32*j**4 + 0*j + j**3 + 62*j**2 + 2 + 1/80*j**5. Determine z so that p(z) = 0.
1, 8
Suppose 196/5*z**3 + 4/5*z**4 - 14976/5 + 11904/5*z + 2872/5*z**2 = 0. What is z?
-26, -12, 1
Let p be -3 + 0 + (-10)/(-1) - 1. Let n be 2/(-1 - -5) - (-15)/p. Suppose 157*j**5 - 34*j**3 - 8*j**2 - 90*j**4 - 20*j**5 - 30*j**n + 25*j**5 = 0. Calculate j.
-2/9, 0, 1
Let z(m) be the first derivative of -m**5/150 + 13*m**4/60 - 27*m**2/2 - m - 52. Let b(j) be the second derivative of z(j). Factor b(k).
-2*k*(k - 13)/5
Factor 4352 - 4*i**3 - 6718*i + 304*i**2 + 11715*i - 7237*i.
-4*(i - 68)*(i - 4)**2
Let f = 469/5 + -93. Let r be (-80 - (-9139)/114)/(34/24 + -1). Factor 0*v**2 - 2/5*v**5 + 0*v - f*v**4 + 0 - r*v**3.
-2*v**3*(v + 1)**2/5
Let n(q) be the third derivative of -8*q**7/1155 + 3*q**6/110 + 3*q**5/55 + q**4/264 - q**3/22 + 4*q**2 - 123. Solve n(l) = 0.
-1/2, 1/4, 3
Let l = 168062 + -1176416/7. Factor 4*f + 2/7*f**3 + l*f**2 + 0.
2*f*(f + 2)*(f + 7)/7
Let s(p) be the third derivative of -p**8/224 + 5*p**7/28 - 189*p**6/80 + 407*p**5/40 - 121*p**4/8 - 4*p**2 + 822*p. Determine x so that s(x) = 0.
0, 1, 2, 11
Let u(k) = -k**2 + 10*k - 17. Let n be u(5). Suppose 0 = -2*q - t + 3*t + 4, 4*q = 3*t + n. Let -3*c**4 + 2*c**4 + 26*c**q - 12*c**2 - 13*c**2 = 0. What is c?
-1, 0, 1
Suppose 3*z = 6*f - 81, z - 39 = -26. Determine c, given that -5/2*c**2 - f*c + 45/2 = 0.
-9, 1
Let q(o) = -5*o - 78. Let x be q(-9). Let r be (-10)/(-15)*(x/6 + 7). Factor r + 5*j + 7/4*j**3 + 23/4*j**2.
(j + 1)*(j + 2)*(7*j + 2)/4
Let i(w) = 244*w + 240. Let c(u) = -60*u - 173. Let n be c(-3). Let y(f) = f**2 + 489*f + 481. Let t(m) = n*i(m) - 4*y(m). Suppose t(l) = 0. Calculate l.
-61, -1
Let v(h) be the first derivative of -h**6/80 - h**5/40 + h**4/4 + h**3 - 4*h**2 + 10*h - 123. Let s(x) be the second derivative of v(x). Factor s(c).
-3*(c - 2)*(c + 1)*(c + 2)/2
Suppose -693 = 10*t - 673. Let l be 1/t - (-4 + 3 + -3). Factor l*v**2 - 15/2*v - 1/2*v**3 + 9/2.
-(v - 3)**2*(v - 1)/2
Let x(b) be the third derivative of 2*b**5/105 + 13*b**4/6 + 30*b**3/7 - 350*b**2. Find r such that x(r) = 0.
-45, -1/2
Suppose 0 = 4*k - 20, 2*x - 3*x + k + 3 = 0. Suppose -29*a = -33*a + 24. Let 0*f - x*f + 3*f**2 - a + 3*f**2 - 8*f**2 = 0. Calculate f.
-3, -1
Factor -834 - a**2 + 785 + 160*a - 174*a.
-(a + 7)**2
Let a(z) = -15*z**5 - 1275*z**4 + 4325*z**3 + 5670*z**2 - 340. Let h(f) = f**5 + 91*f**4 - 309*f**3 - 405*f**2 + 24. Let v(p) = 6*a(p) + 85*h(p). Factor v(r).
-5*r**2*(r - 9)**2*(r + 1)
Let q(h) be the third derivative of 23 + 0*h - 1/5*h**5 - 3/80*h**6 + 15/16*h**4 + 3*h**2 - h**3. Solve q(l) = 0 for l.
-4, 1/3, 1
Let a(h) = -7*h - 45. Let l be a(-7). Suppose 0 = -l*g - 16, 0*m = 2*m - 5*g - 24. Factor -30*n**5 - n**m + 2*n**4 - n**4 - 2*n + 3*n**3 + 29*n**5.
-n*(n - 2)*(n - 1)*(n + 1)**2
Let q be 0/(-7 + (-4)/(-1)). Let k(x) = 39*x - 37. Let m be k(1). Factor -3/4 + 3/4*y**4 + q*y**m + 3/2*y**3 - 3/2*y.
3*(y - 1)*(y + 1)**3/4
Let u(o) be the first derivative of -o**6/30 - o**5/20 + o**4/6 - 253*o - 1. Let z(r) be the first derivative of u(r). Factor z(i).
-i**2*(i - 1)*(i + 2)
Suppose -6/7*t**2 - 378006/7 - 3012/7*t = 0. What is t?
-251
Let f = -886 + 888. Factor -4*l**2 - 4050 + 4066 + f*l - 14*l.
-4*(l - 1)*(l + 4)
Let r(l) be the first derivative of -l**6/60 + l**5/15 - l**4/12 + 19*l**2 + 211. Let t(z) be the second derivative of r(z). Suppose t(m) = 0. What is m?
0, 1
Suppose 398 = 380*m + 175*m - 712. Suppose 1/7*i**m + 0 - 5/7*i = 0. Calculate i.
0, 5
Suppose 0 = 32*m - 27*m - 90. Factor -m*j - 4*j**3 - 52*j**2 - 7*j - 58*j**2 + 60 + 7*j**3 - 28*j**3.
-5*(j + 1)*(j + 4)*(5*j - 3)
Let p(z) be the first derivative of -z**4/6 - 14*z**3/3 - 38*z**2/3 + 732. Determine x so that p(x) = 0.
-19, -2, 0
Suppose 9 = -8*f + 17. Let m(c) = 22*c**2 - 2*c. Let v be m(f). Factor 4*x - 25 + 9 - v*x**2 + 75*x - 31*x.
-4*(x - 2)*(5*x - 2)
Let u(l) be the second derivative of l**7/98 - 22*l**6/35 - 144*l**5/35 - 4*l**4/7 + 376*l**3/7 + 1152*l**2/7 + 70*l. Suppose u(g) = 0. Calculate g.
-2, 2, 48
Let n be ((-488)/40 + 13)*(-10)/(-4). Factor -69*a**3 - 68*a**3 + 59*a + 199*a**3 - 63*a**3 + 58*a**n.
-a*(a - 59)*(a + 1)
Let a be ((-16)/(-6) - 2)*22/198. Let n(r) be the second derivative of 9*r + a*r**3 + 0 - 1/54*r**4 + 0*r**2. Let n(m) = 0. Calculate m.
0, 2
Suppose -2671*m + 2741*m = 420. Let i(g) be the second derivative of -1/90*g**m + 17*g + 0 + 0*g**2 + 0*g**3 + 0*g**4 - 1/12*g**5. What is u in i(u) = 0?
-5, 0
Let o(z) be the first derivative of 2*z**5/35 - 10*z**4/7 + 104*z**3/21 + 480*z**2/7 + 1152*z/7 - 208. Factor o(v).
2*(v - 12)**2*(v + 2)**2/7
Let f(l) = l**3 - 8*l**2 + l - 6. Let s be f(8). Suppose -5*o + 2*p = -14, 5*o + 0*o + s*p = 26. Factor -2*t + 23*t**3 + o*t**5 - t**5 + 5*t - 29*t**3.
3*t*(t - 1)**2*(t + 1)**2
Let g(o) = 6*o**4 - 6*o**3 - 8*o**2 + 4*o. Let i(k) = -72*k**4 + 7*k**3 + 8*k**2 + 0*k - 3*k + 65*k**4. Let m(y) = 5*g(y) + 4*i(y). Factor m(t).
2*t*(t - 2)*(t - 1)*(t + 2)
Suppose 6207 + 13734 + 9*d**2 - 2*d**3 - 12*d**3 - 42*d**2 + 17*d**3 - 1479*d = 0. Calculate d.
-23, 17
Let -392*q + 63*q**2 + 38*q**2 - 131*q**2 + 500 - 1368*q + 65*q**2 = 0. What is q?
2/7, 50
What is g in 600*g - 112500 - 4/5*g**2 = 0?
375
Let k be 34/10 - (2 + -1). Suppose 2*u - 5*n - 4 = -63, 5*n - 71 = -2*u. Find o such that -3/5*o**4 - 24/5*o**2 - 3*o**u + 0 - k*o = 0.
-2, -1, 0
Let j(q) be the first derivative of -q**4/18 - 2*q**3/9 + 4*q**2/9 - 172. Factor j(n).
-2*n*(n - 1)*(n + 4)/9
Let u(p) = 13*p**3 - 38*p**2 + 22*p + 15. Suppose 2*q + 93 - 87 = 0. Let b(v) = v**3 - v**2 - v + 5. Let d(g) = q*b(g) + u(g). Suppose d(f) = 0. Calculate f.
0, 1, 5/2
Let a(v) be the second derivative of -v**5/60 - 13*v**4/3 - 1352*v**3/3 - 