 3)*(w - 1)**3*(w + 4)
Let p(z) be the first derivative of z**5/8 - 49*z**4/16 + 183*z**3/8 - 81*z**2/2 - 6071. Factor p(o).
o*(o - 9)**2*(5*o - 8)/8
Suppose 64*y**2 - 200/9 + 4*y**3 - 412/9*y = 0. What is y?
-50/3, -1/3, 1
Factor 1012/5*m**2 + 1/5*m**3 + 1014/5 - 2027/5*m.
(m - 1)**2*(m + 1014)/5
Let y(v) be the first derivative of -v**3/12 + 59*v**2/8 + 375. Factor y(s).
-s*(s - 59)/4
Let y(x) be the first derivative of -x**4/24 - 13*x**3/18 - 25*x**2/6 - 28*x/3 + 14460. Solve y(j) = 0 for j.
-7, -4, -2
Find h such that -18*h**3 + 257 - 27*h - 165*h**2 - 511 + 254 = 0.
-9, -1/6, 0
What is g in 146/11*g - 10*g**2 + 20/11 + 16/11*g**3 = 0?
-1/8, 2, 5
Let l(q) be the third derivative of -q**7/1575 - 7*q**6/450 + 8*q**5/225 + 7*q**4/90 - q**3/3 + 5*q**2 - 122*q - 4. Let l(a) = 0. What is a?
-15, -1, 1
Solve -4545*m - 42*m**3 - 4767*m + 14530*m - 4750*m - 3*m**2 - 3*m**4 = 0.
-13, -4, 0, 3
Let m(o) be the first derivative of o**3/18 + 259*o**2/12 + 257*o/3 + 86. Factor m(n).
(n + 2)*(n + 257)/6
Let f = -439 + 481. Let o be ((-8)/(-28))/(2 - 48/f). Factor 1/3*n + o*n**3 - 2/3*n**2 + 0.
n*(n - 1)**2/3
Suppose -4*q + 5*q + 3*s = 4, 0 = 4*q - 2*s + 40. Let u be -2*(-3)/q*2/(-3). Let 1/2*f**5 + 1/2*f**4 + 0 + f - u*f**2 - 3/2*f**3 = 0. What is f?
-2, -1, 0, 1
What is q in 116*q**2 - 16*q**3 + 300*q + 35*q + 29*q**2 + 31*q**2 - 4*q**4 + 49*q = 0?
-8, -2, 0, 6
Suppose -50*k + 5*k = 222*k - 801. Find f such that 0*f**2 - 4/7*f**k + 4/7*f + 0 = 0.
-1, 0, 1
Let m(a) = 16*a**3 - 196*a**2 + 146*a + 149. Let d(c) = -c**3 + 10*c**2 + c + 1. Let r(i) = -19*d(i) - m(i). Find n such that r(n) = 0.
-8, -1, 7
Factor 16*n**2 + 41*n**4 + 494*n - 45*n**4 - 136*n**3 + 50*n.
-4*n*(n - 2)*(n + 2)*(n + 34)
Let s(i) = 18*i**2 + 11*i + 3. Let l be s(2). Factor 0*d**2 + 1800 + 3*d**2 - d**2 + l*d + 23*d.
2*(d + 30)**2
Let f(k) be the second derivative of 16*k + 3*k**2 + 0 - 1/30*k**6 + 0*k**3 + 1/3*k**4 - 1/15*k**5. Let l(j) be the first derivative of f(j). Factor l(o).
-4*o*(o - 1)*(o + 2)
Let m = 2851 - 5699/2. Let c(k) be the first derivative of -11/4*k**2 + 3 - k - m*k**3. Factor c(r).
-(r + 1)*(9*r + 2)/2
Determine x, given that 2*x**3 - 172*x**2 + 9081*x + 38*x**2 + 1001*x - 150*x**2 = 0.
0, 71
Let k(i) be the third derivative of -9/16*i**4 - 7/40*i**5 - 1/560*i**7 - i**3 + 3*i + 0 + 2*i**2 - 9/320*i**6. Let k(b) = 0. What is b?
-4, -2, -1
Let v(i) = 4*i**2 - 44*i + 114. Let z(x) be the third derivative of -x**3/6 - 17*x**2 + 2*x. Let q(o) = v(o) + 2*z(o). Suppose q(m) = 0. Calculate m.
4, 7
Let f = 1053/4 - 263. Find b such that -f*b**2 + 0 - 2*b = 0.
-8, 0
Let x(u) be the first derivative of -u**5 - 105*u**4/4 - 240*u**3 - 800*u**2 + 974. Factor x(y).
-5*y*(y + 5)*(y + 8)**2
Let p(u) be the third derivative of u**5/330 - 215*u**4/132 - 23*u**2 - 5*u + 1. Determine k, given that p(k) = 0.
0, 215
Suppose -650*n + 324*n + 15 = -323*n. Let l(f) be the second derivative of 26*f + 0 + 20*f**3 + 8*f**2 + 21*f**4 + 49/10*f**n. Suppose l(x) = 0. Calculate x.
-2, -2/7
Suppose -116 = -5*l + 2*v, -5*v = -l + 173 - 113. Let n(w) be the third derivative of 1/3*w**6 - 5/4*w**5 + 0*w + 0 + l*w**2 + 5/6*w**3 + 5/4*w**4. Factor n(z).
5*(z - 1)**2*(8*z + 1)
Let g(u) = 3*u + 127. Let h be g(-40). Let z be 32/h - -3 - (4 - -3). Factor -4/7 + 0*b + z*b**2.
4*(b - 1)*(b + 1)/7
Let b(r) be the first derivative of 2*r**3/51 + 1718*r**2/17 - 3438*r/17 + 10021. Factor b(y).
2*(y - 1)*(y + 1719)/17
Suppose -99*j - 57*j = 0. Let i(s) be the second derivative of j*s**4 - 1/90*s**5 + 11*s + 0 + 1/9*s**3 + 2/9*s**2. Factor i(u).
-2*(u - 2)*(u + 1)**2/9
Factor 2/3*p**3 - 158/3*p**2 - 54 - 322/3*p.
2*(p - 81)*(p + 1)**2/3
Suppose 12*j - 6*j = 684. Let -3*b**2 + j*b + 230 - 909 - 404 = 0. Calculate b.
19
Solve -80/3*o - 52/3 - 1/3*o**3 - 29/3*o**2 = 0 for o.
-26, -2, -1
Let z(p) = 5*p**2 + 25*p + 6. Let w be z(6). Factor -w + c**4 - 3*c**3 + 336 + 4*c.
c*(c - 2)**2*(c + 1)
Let x(v) be the second derivative of v**7/147 + 6*v**6/35 + 52*v**5/35 + 107*v**4/21 + 61*v**3/7 + 8*v**2 - 3*v - 283. Determine u so that x(u) = 0.
-8, -7, -1
Let k(t) = -t**2 - 8*t + 194. Let c be k(11). Let o be 0/(8/(-8)) - 24/c. Determine y so that -9/5*y**2 - 1/10*y**4 + 4/5*y**3 - 1/2 + o*y = 0.
1, 5
Factor 44*t**3 + 1965*t - 174 + 350*t**2 + 5518 - 42*t**3 - 194*t + 933*t.
2*(t + 4)**2*(t + 167)
Suppose 0 = 2*w - 3*c - 3, -107*w - 23 = -106*w - 5*c. Let t(h) be the second derivative of 2/3*h**3 + h**4 + 0 - 4*h**2 + w*h. Factor t(o).
4*(o + 1)*(3*o - 2)
Let v = -76 - -80. Suppose -4*r + 3*r = -v. Determine a, given that -8*a**3 + 2*a**2 + 2*a**5 + 0*a**2 + 4*a - 2*a**4 - 2*a**3 + r*a**5 = 0.
-1, -2/3, 0, 1
Let q = -283 + 277. Let z be ((0 + q)/1)/(-5). Factor -z*x**2 - 2/5 + 6/5*x + 2/5*x**3.
2*(x - 1)**3/5
Let u(p) be the third derivative of p**5/8 + 173*p**4/48 + 14*p**3/3 - 38*p**2 + 4*p - 1. Factor u(w).
(3*w + 1)*(5*w + 56)/2
Let c(l) = 5*l**5 - 186*l**4 - 836*l**3 - 4*l + 8. Let k(q) = q**4 + q**3 - q + 2. Let t(z) = -c(z) + 4*k(z). Let t(u) = 0. What is u?
-4, 0, 42
Let l(u) be the first derivative of -27/2*u**2 - 1/18*u**4 + 1/90*u**5 + 0*u**3 + 0*u + 32. Let m(a) be the second derivative of l(a). Factor m(o).
2*o*(o - 2)/3
Let r(c) = 11*c**4 + 56*c**3 + 29*c**2 - 1282*c + 7. Let x(n) = -10*n**4 - 56*n**3 - 30*n**2 + 1284*n - 6. Let w(q) = 6*r(q) + 7*x(q). Factor w(j).
-4*j*(j - 4)*(j + 9)**2
Let b(g) be the second derivative of -1/4*g**5 + 5/4*g**4 - 1/6*g**6 + 5*g**2 + 0 + 25/6*g**3 - 9*g. Let b(t) = 0. Calculate t.
-1, 2
Suppose 9*p + 2 - 21/2*p**2 + 11/4*p**3 = 0. Calculate p.
-2/11, 2
Suppose 2*z + 226 = 4*u, u - 5*z + z = 60. Suppose u = -6*b + 74. Factor -5/4*a + 0 + 3/2*a**2 - 1/4*a**b.
-a*(a - 5)*(a - 1)/4
Suppose -275 = -21*y - 34*y. Suppose -y*i + 20 = o - 6*o, 2*i - 12 = 4*o. Solve 34/11*d - 18/11 - 2/11*d**3 - 14/11*d**i = 0 for d.
-9, 1
Suppose -5*l - h + 16 = -4*l, -4*l - 2*h = -68. Determine t so that -l - 4 - 4*t**3 - 12*t - 20*t**2 + 22 + 4*t**4 = 0.
-1, 0, 3
Let a(z) be the first derivative of -6 - 1/33*z**3 + 42*z + 2/33*z**4 + 0*z**2. Let x(l) be the first derivative of a(l). Factor x(u).
2*u*(4*u - 1)/11
Let v(u) be the first derivative of u**6/8 + 3*u**5/10 - 27*u**4/8 - 2*u**3 + 123*u**2/8 + 45*u/2 - 1019. Determine h so that v(h) = 0.
-5, -1, 2, 3
Let c(y) be the first derivative of -25/24*y**4 + 1/3*y**5 + 20 + 0*y + 21*y**2 + 5/6*y**3. Let r(m) be the second derivative of c(m). Factor r(b).
5*(b - 1)*(4*b - 1)
Let u be 47/(-235)*5/(-8). Let k = -4015/2 - -2008. Find y, given that -u*y**4 - 1/2*y**2 + 0 + 0*y - k*y**3 = 0.
-2, 0
Let z(l) = -13*l**4 + 28*l**3 + 19*l**2 - 25*l + 9. Let f(x) = 12*x**4 - 24*x**3 - 20*x**2 + 24*x - 8. Let k(g) = 9*f(g) + 8*z(g). Let k(b) = 0. Calculate b.
-4, 0, 1
Suppose -121500 - 11677*f**2 - 5*f**4 + 109800*f + 6250*f**2 - 13188*f**2 - 2965*f**3 + 5*f**5 = 0. Calculate f.
-15, 2, 27
Let k(w) = 8*w**2 - 72*w - 173. Let c(x) be the first derivative of x**3/3 + x**2/2 - x - 29. Let s(p) = -3*c(p) + k(p). Factor s(l).
5*(l - 17)*(l + 2)
Let d = -118628 - -118630. Factor -1/2*z**d - 2 - 5/2*z.
-(z + 1)*(z + 4)/2
Let p(i) be the second derivative of 5*i**7/42 + 8*i**6/3 + 22*i**5 + 80*i**4 + 120*i**3 + 282*i. Factor p(j).
5*j*(j + 2)**2*(j + 6)**2
Let c be (-15)/(-2) - (-1)/2. Let s(f) = 5*f**2 + 24*f + 9*f**2 - 10 - 11 + 4 + 9. Let r(y) = 9*y**2 + 16*y - 5. Let l(n) = c*r(n) - 5*s(n). Solve l(w) = 0.
-4, 0
Suppose -3079*h - 2 = -13 + 8 + 3. Determine j, given that 0 + 10404/5*j**2 + 4/5*j**4 + h*j - 408/5*j**3 = 0.
0, 51
Solve 207 - 3*v + 36475*v**2 - 36682*v**2 - v**3 + 4*v = 0.
-207, -1, 1
Let i be 222/5 + 5 + (-154)/35. What is c in -15 + 10*c**2 - 18 + 22*c + i = 0?
-6/5, -1
Suppose -30 = 2*r - 8*r. Let f be 12/30 + 28/r. What is d in -3*d**3 - d + f*d**2 - 5*d + 9*d - 6 = 0?
-1, 1, 2
Let i be (3/6*162)/((-258)/(-27) + (-28)/18). Factor 5/2 + 369/8*c**2 - i*c**3 + 22*c.
-(c - 5)*(9*c + 2)**2/8
Suppose -42412 - 62*n + 2*n**4 - 86*n**2 - 24*n**3 + 42412 + 2*n = 0. Calculate n.
-2, -1, 0, 15
Let g(c) = 5*c**2 - 167*c - 63. Let f be g(34). Suppose 103 = 3*v + 7. Factor -15*u**2 + f*u**2 - u - 59*u + v + 4*u**3.
4*(u - 1)**2*(u + 8)
Let o be (-20)/(-6)*45/27*(-324)/(-525). Suppose 1/7*s**4 + o - 50/7*s + 5*s**2 - 10/7*s**3 = 0. Calculate s.
1, 2, 3, 4
Let c(z) 