k**5. Suppose y(v) = 0. What is v?
0, 1
Let o(s) = s**3 + 13*s**2 - 7*s + 7. Let k(w) = -20*w**2 + 3*w - 3 + 0*w + 14*w**2. Let z(v) = -7*k(v) - 3*o(v). Factor z(q).
-3*q**2*(q - 1)
Let b be ((-4)/3)/(-4)*33/154*7. Factor -b*y**5 + 0*y - 2*y**4 - 2*y**3 + 0*y**2 + 0.
-y**3*(y + 2)**2/2
Let u(q) be the first derivative of -q**5/35 + q**4/28 + 5*q**3/7 - 9*q**2/14 - 54*q/7 + 46. Find r, given that u(r) = 0.
-3, -2, 3
Factor -17*t - 24*t + 5*t**3 + 41*t - 5*t**2.
5*t**2*(t - 1)
Let j be 1 + 24/(-6) - (-4 + 8/(-24)). Find k such that 20/9*k**2 - 16/9 + j*k - 4/3*k**3 - 4/9*k**4 = 0.
-4, -1, 1
Let w = 404 + -1211/3. Let u(k) be the second derivative of -w*k**3 + 0 + 1/12*k**4 - 4*k + 0*k**2. Solve u(j) = 0.
0, 2
Let h(w) = 24*w**2 + 5*w + 1. Let b be h(-1). Factor b*n**2 + 9*n**2 + 35*n**5 + 100*n**3 + 11*n**2 + 80*n**4 - 210*n**4.
5*n**2*(n - 2)**2*(7*n + 2)
Let 17*h**2 + 289*h + 1/4*h**3 + 0 = 0. What is h?
-34, 0
Let c = 58 + -49. Suppose -2*z - 4*i - 3 - c = 0, -5*z - 5*i - 10 = 0. Factor 2/7*o**z + 0 + 2/7*o.
2*o*(o + 1)/7
Let o(u) be the first derivative of 9/4*u**4 + 0*u + 3/5*u**5 + 6 - u**3 - 9/2*u**2. Factor o(c).
3*c*(c - 1)*(c + 1)*(c + 3)
Factor 28*l**2 - 3*l**3 - 2 - 7 - 27 + 99*l.
-(l - 12)*(l + 3)*(3*l - 1)
Let j(u) = 4*u**3 + 2*u - 3. Let r(q) = -27*q**3 + 7*q - 3. Let i(h) = 13*h**3 - 3*h + 1. Let f(l) = 13*i(l) + 6*r(l). Let b(t) = 3*f(t) - 5*j(t). Factor b(x).
x*(x - 1)*(x + 1)
Let q(p) be the third derivative of -p**8/504 - p**7/315 + p**6/20 + p**5/90 - 5*p**4/9 + 4*p**3/3 + 4*p**2 + 36*p. Let q(k) = 0. What is k?
-3, -2, 1, 2
Suppose 0*s = s + 5*q - 12, -2*s = q - 15. Suppose -x + 5*x + 14 = 5*m, x + s = 3*m. Factor 10*c**2 + 5*c - m*c**2 - 8*c - 9*c - 8 + 12*c**3.
4*(c - 1)*(c + 1)*(3*c + 2)
Let z(i) be the first derivative of i**3 - 24*i**2 + 192*i + 53. Determine h so that z(h) = 0.
8
Let t be 7 + -19 - (1 + -17). Solve 12/5 - 22/5*r - 2/5*r**t + 6/5*r**2 + 6/5*r**3 = 0.
-2, 1, 3
Let g(q) = -q - 15. Let k be g(-18). Let -1/2*x + 5/8*x**k - 1/8*x**5 - 1/2 + 5/8*x**2 - 1/8*x**4 = 0. Calculate x.
-2, -1, 1, 2
Let p = -1279/65 + 53/5. Let c = p - -1376/143. Find k, given that 4/11*k + 2/11*k**4 + c*k**3 + 0 - 10/11*k**2 - 2/11*k**5 = 0.
-2, 0, 1
Suppose -2*r + 10 = 2*d, 2*d + 234 = -4*r + 250. Solve 2/3*b**4 + 1/3*b - 5/3*b**3 + b**d - 1/3 = 0 for b.
-1/2, 1
Let 2/13*k**4 + 6/13*k**3 - 16/13 - 24/13*k - 4/13*k**2 = 0. What is k?
-2, -1, 2
Suppose -275*a - 142 = -346*a. Solve 12*h - 12*h**3 + 6*h**a - 12 - 3/4*h**5 + 21/4*h**4 = 0.
-1, 2
Let h(w) be the second derivative of w**4/30 - 6*w**3/5 + 17*w**2/5 + 23*w + 2. Factor h(v).
2*(v - 17)*(v - 1)/5
Let y be 22/14 - (-6)/14. Let o(t) be the third derivative of 1/108*t**4 + 0 + 2/27*t**3 - 1/135*t**5 - 1/540*t**6 - 3*t**y + 0*t. Factor o(c).
-2*(c - 1)*(c + 1)*(c + 2)/9
Let f(x) be the second derivative of x**4/18 + 41*x**3/9 - 3*x + 44. Factor f(j).
2*j*(j + 41)/3
Let w(o) be the second derivative of o**6/10 - 27*o**5/100 + 3*o**4/20 + o**3/10 - 47*o - 1. Determine m so that w(m) = 0.
-1/5, 0, 1
Let x(g) be the second derivative of -g**7/189 + 4*g**6/135 - 2*g**5/45 + 3*g - 4. Solve x(o) = 0.
0, 2
Factor -6 + 9/2*v - 3/4*v**2.
-3*(v - 4)*(v - 2)/4
Let a(q) be the first derivative of -2/9*q**3 + 8/9*q + 1/9*q**4 - 9 - 4/9*q**2 + 2/45*q**5. Factor a(r).
2*(r - 1)**2*(r + 2)**2/9
Let g(n) be the first derivative of -n**4/12 + n**3/9 + n**2/3 - 8. Let g(u) = 0. Calculate u.
-1, 0, 2
Let 8/7 - 48/7*z**4 - 36/7*z + 76/7*z**3 + 0*z**2 = 0. Calculate z.
-2/3, 1/4, 1
Let a be (0 - 26/39)/(-2). Factor 0 - a*m**2 + 0*m + 1/3*m**3.
m**2*(m - 1)/3
Let r(b) = 7*b**4 - 80*b**3 - 717*b**2 + 1767*b. Let u(v) = -39*v**4 + 480*v**3 + 4301*v**2 - 10601*v. Let q(i) = 34*r(i) + 6*u(i). Factor q(z).
4*z*(z - 2)*(z + 21)**2
Let f = 148 - 100. Determine u, given that u**3 - 6*u**3 + f*u**2 + 40 + 31*u - 18*u**2 - 91*u = 0.
2
Let u(v) be the third derivative of -v**5/180 - 41*v**4/36 - 1681*v**3/18 - 10*v**2 - 3*v. Factor u(y).
-(y + 41)**2/3
Let k = 705 + -703. Let j(o) be the second derivative of -1/80*o**5 + 0*o**2 - 1/48*o**4 + k*o + 0*o**3 + 0. Factor j(c).
-c**2*(c + 1)/4
Suppose 104*q - 5*z - 20 = 103*q, z + 4 = -3*q. Determine y so that q + 2/7*y**3 + 0*y + 1/7*y**4 + 0*y**2 = 0.
-2, 0
Suppose 3*v = -5 + 32. Suppose -v = -2*m - 1. Solve 0*t**4 - 3*t**2 - t - t**4 - t**4 + t**m - 3*t**3 = 0.
-1, 0
Let p be (-3)/(-39) + (19/76 - (-730)/312). Factor -p*m**5 - 2/3*m**3 + 0 + 0*m + 0*m**2 + 10/3*m**4.
-2*m**3*(m - 1)*(4*m - 1)/3
Factor 0*c**3 + 8/9*c + 2/9*c**4 - 2*c**2 + 8/3.
2*(c - 2)**2*(c + 1)*(c + 3)/9
Let h be ((32/(-42))/2)/((-546)/1911). Determine a, given that -3*a + 2/3 + a**2 + h*a**3 = 0.
-2, 1/4, 1
Factor 0*f + 0*f**2 + 7*f**4 + 0*f**3 + 0 - 1/2*f**5.
-f**4*(f - 14)/2
Let d(y) = -7*y**2 - 27*y + 7. Let v = -49 - -46. Let a(f) = f**2. Let m(n) = v*a(n) - d(n). Find z such that m(z) = 0.
-7, 1/4
Let f = -89 + 94. Let w(v) be the third derivative of 0*v**4 + 0*v**3 + 0*v - 1/660*v**6 - 1/330*v**f - 3*v**2 + 0. Factor w(h).
-2*h**2*(h + 1)/11
Determine b, given that 0 + 10/9*b**4 + 8/9*b**3 + 0*b**2 + 0*b + 2/9*b**5 = 0.
-4, -1, 0
Suppose 0 = -4*a + 3*u + 27, -4 = -16*a + 13*a - u. Factor -5/3*c**a + 5*c + 0*c**2 + 10/3.
-5*(c - 2)*(c + 1)**2/3
Let n(s) be the third derivative of -s**6/540 + 11*s**5/270 - 8*s**4/27 + 28*s**3/27 + 73*s**2 - 2*s. Factor n(t).
-2*(t - 7)*(t - 2)**2/9
Suppose 0 = 3*b - 5 - 82. Factor 0 + 13*k**2 + 4 - b*k**2 + 20*k**2 + 10*k.
2*(k + 2)*(2*k + 1)
Suppose -6*j - 6 = -9*j. Factor -j*t - 2*t**2 + t**2 + 6*t.
-t*(t - 4)
Let p = 125 - 123. Let g = 259/1125 - 1/125. Factor -g + 4/9*i**p + 0*i + 0*i**3 - 2/9*i**4.
-2*(i - 1)**2*(i + 1)**2/9
Factor 189*q - 729 - 171 - 328*q - 130*q - 151*q - 49*q**2.
-(7*q + 30)**2
Let i(d) be the third derivative of -1/20*d**5 + 0 - d**2 - 1/8*d**4 + 0*d + 1/40*d**6 + 1/2*d**3. Let i(k) = 0. Calculate k.
-1, 1
Factor 3/5*f**3 - 189/5*f - 186/5*f**2 + 0.
3*f*(f - 63)*(f + 1)/5
Let r be ((-41580)/16)/15 - 2*-2. Let u = 170 + r. Let 1/4*s**2 + 0 - u*s = 0. Calculate s.
0, 3
Let s be (21/(-28))/((-3)/8). Suppose s*p + 2*p = 0. Determine t so that -2/13*t**2 - 6/13*t + p = 0.
-3, 0
Let h(f) be the second derivative of -f**5/10 + f**4/6 + 2*f**3/3 + 28*f. Let h(k) = 0. What is k?
-1, 0, 2
Let b(p) be the second derivative of -p**9/5040 + p**7/420 - p**5/40 - p**4/2 - 21*p. Let a(v) be the third derivative of b(v). Let a(d) = 0. Calculate d.
-1, 1
Let i be 176/22 + 24/(-3). Solve 2/7*o**2 + 2/7*o**3 - 4/7*o + i = 0 for o.
-2, 0, 1
Let i be 14/(-84) - (-1730)/12. Let p = -144 + i. Factor p - 12/5*m**2 - 3/5*m.
-3*m*(4*m + 1)/5
Let d(f) be the first derivative of -f**4/22 + 10*f**3/33 - 6*f**2/11 - 307. Factor d(j).
-2*j*(j - 3)*(j - 2)/11
Let j(l) = 5*l**4 + 4*l**3 - 39*l**2 - 26*l - 4. Let t(k) = -55*k**4 - 45*k**3 + 430*k**2 + 285*k + 45. Let c(a) = -45*j(a) - 4*t(a). Let c(m) = 0. Calculate m.
-2, -1, 0, 3
Let p(m) be the first derivative of 3*m**2 + 2/15*m**3 - 1/25*m**5 + 9 + 1/75*m**6 + 0*m + 0*m**4. Let z(g) be the second derivative of p(g). Factor z(f).
4*(f - 1)**2*(2*f + 1)/5
Solve -9*x**2 + 4*x**3 + x**3 - 30*x - 16*x**2 = 0 for x.
-1, 0, 6
Let a(n) = n - 29. Let x be a(7). Let h(i) = -i**3 - 23*i**2 - 22*i. Let r be h(x). Solve r - 4/3*f**2 - 8/3*f = 0.
-2, 0
Let k = 1/15019 - -30029/135171. Factor 2/9*m - k*m**3 + 0*m**2 + 0.
-2*m*(m - 1)*(m + 1)/9
Let v = -285 + 287. Let y(f) be the second derivative of 0*f**v - 1/9*f**3 + 1/63*f**7 + 2/45*f**6 - 1/9*f**4 - 4*f + 0 + 0*f**5. Factor y(i).
2*i*(i - 1)*(i + 1)**3/3
Suppose -5*y + 25 = 0, 2*q - 5*y = 72 + 83. Let p be 14/(-63) - (1 + (-218)/q). Factor 0 + 2/5*l**3 + 4/5*l + p*l**2.
2*l*(l + 1)*(l + 2)/5
Suppose -5*b + 2*y = -24, 2*b + 198 = -y + 204. Solve 0*o**b - 3/2*o**5 + 9*o**3 - 12*o**2 + 0 + 9/2*o = 0 for o.
-3, 0, 1
Let v = 59265 + -59262. Factor 0 - 2/9*p**v + 0*p**2 + 0*p - 2/9*p**4.
-2*p**3*(p + 1)/9
Let n = -30516 - -213630/7. Suppose n - 3/7*r**2 - 15/7*r = 0. Calculate r.
-6, 1
Let j(n) be the second derivative of -n**4/72 - n**3/9 + 5*n**2/12 - 360*n. Suppose j(t) = 0. Calculate t.
-5, 1
Let l(y) = 10*y**3 - 190*y**2 + 555*y - 370. Let z(u) = 9*u**3 - 192*u**2 + 557*u - 370. Let q(t) = -4*l(t) + 5*z(t). Let q(r) = 0. Calculate r.
1, 2, 37
Let o = 71487/3710 + 9/530