e of y**4/90 - 13*y**3/45 - 68*y. Factor z(q).
2*q*(q - 13)/15
Let o(g) be the first derivative of 0*g**3 - 1/2*g**2 + 2/3*g + 7 + 1/12*g**4. Factor o(x).
(x - 1)**2*(x + 2)/3
Let b = 8347 + -41711/5. Determine a, given that -48/5*a**2 + 32/5*a - 4/5 - 8/5*a**3 - b*a**5 + 52/5*a**4 = 0.
-1, 1/6, 1
Let c(o) be the first derivative of -o**3/18 + 13*o**2/12 + 7*o/3 - 99. Solve c(x) = 0.
-1, 14
Suppose -5*x = 4*p - 32 - 11, 5*p + 5*x - 45 = 0. Factor 0 + h**3 - 1/3*h**4 + 0*h + 0*h**p.
-h**3*(h - 3)/3
Let o = 56 - 52. Let q be (5 + 0/o)*1. Find g such that -1/2*g**3 + 0*g**2 - 1/2*g**q + 0*g + 0 + g**4 = 0.
0, 1
Suppose -42 + 63*b + 62*b - 190*b + 52*b + b**2 - 2*b**2 = 0. What is b?
-7, -6
Suppose 5*r - 18 = 2. What is q in -2301*q**4 + 2295*q**4 - r*q + 2*q**3 - 5*q**2 + 2*q**5 + 11*q**2 = 0?
-1, 0, 1, 2
Let y(a) = -3*a**2 + a + 5. Let n be y(0). What is m in 1 - 5 - n*m - 2 + 3*m**2 + 4 = 0?
-1/3, 2
Let m = 585 + -377. Let x = -415/2 + m. Find p such that -p**4 - x*p**5 + 0 + 0*p**3 + 1/2*p + p**2 = 0.
-1, 0, 1
Let x be (3/(-3))/(3/159). Let p = -53 - x. Solve p*u**2 + 2/11*u + 0 + 2/11*u**5 + 0*u**4 - 4/11*u**3 = 0.
-1, 0, 1
Let u = -2096 - -2099. Determine q, given that 214/11*q**u - 16/11*q + 42/11*q**5 - 8/11 + 170/11*q**4 + 78/11*q**2 = 0.
-2, -1, -1/3, 2/7
Let c = -6703/5 - -1341. Suppose -4/5*y**2 + 0 + 2/5*y + c*y**3 = 0. Calculate y.
0, 1
Suppose -12*j = -6*j - 60. What is o in 6 - j*o**3 + 0*o**3 - 3*o - 6*o**2 + 13*o**3 = 0?
-1, 1, 2
Suppose -4*s + 3*l - 5*l = 2014, 2*l = -3*s - 1510. Let i be s/(-70)*(1 + 4). Factor -x**3 + i*x - 36*x.
-x**3
Let m(a) be the second derivative of a**5/5 - 5*a**4 - 146*a**3/3 - 114*a**2 - a + 132. Factor m(y).
4*(y - 19)*(y + 1)*(y + 3)
Let w(c) be the third derivative of -c**9/7560 - c**8/1680 + c**6/180 + c**5/60 + 17*c**4/24 - 26*c**2. Let n(l) be the second derivative of w(l). Factor n(z).
-2*(z - 1)*(z + 1)**3
Let u = -50 + 52. Factor 2*t**5 + 22*t**3 + 31*t**u - 24*t - 16 + 12*t**4 - 56*t**2 + 29*t**2.
2*(t - 1)*(t + 1)*(t + 2)**3
Let z(u) be the third derivative of -u**5/480 - 5*u**4/192 - u**3/12 + 2*u**2 - 8. Let z(w) = 0. Calculate w.
-4, -1
Let t(k) = -18*k - 122. Let a be t(-7). Let d(u) be the second derivative of 0 + 1/3*u**2 + 1/36*u**a - 1/6*u**3 - 7*u. Factor d(j).
(j - 2)*(j - 1)/3
Let g(a) be the first derivative of -2/9*a**4 - 4/27*a**3 + 16 + 4/9*a**2 + 4/45*a**5 + 0*a. Determine p so that g(p) = 0.
-1, 0, 1, 2
Let i(v) be the first derivative of -14/3*v**2 - 30 + 4/3*v**3 + 16/3*v. Solve i(u) = 0.
1, 4/3
Factor -10*x**3 - 22*x**2 - 13*x**3 - 24*x - 7*x**3 - x**4 - 9 + 22*x**3.
-(x + 1)**2*(x + 3)**2
Let f be ((-116)/10)/(60/(-25)). Let l = -155/42 + f. Factor -6/7*h**2 + 0*h + l - 2/7*h**3.
-2*(h - 1)*(h + 2)**2/7
Let f(r) be the first derivative of -r**3 - 9*r**2 - 27*r - 84. Factor f(g).
-3*(g + 3)**2
Let j(p) be the third derivative of -p**6/60 + 5*p**5/2 - 625*p**4/4 + 15625*p**3/3 + 266*p**2. Factor j(t).
-2*(t - 25)**3
Let c be -16 - (-1 - (-4886)/(-322)). Factor c*r - 2/23*r**2 + 0.
-2*r*(r - 2)/23
Let b(u) be the third derivative of -u**7/630 + u**6/180 + u**5/180 - u**4/36 + 50*u**2. Let b(q) = 0. What is q?
-1, 0, 1, 2
Let s = 202 + -129. Let i = 186 - s. Factor -4*g**3 + 8*g**2 - 4*g - 113 + i.
-4*g*(g - 1)**2
Let i = -12565 - -12567. Factor 0 + 2/7*g**4 + 6/7*g + 10/7*g**3 + i*g**2.
2*g*(g + 1)**2*(g + 3)/7
Let c(i) be the first derivative of i**6/2 - 17*i**5 + 259*i**4/4 - 227*i**3/3 + 25*i**2 - 201. What is y in c(y) = 0?
0, 1/3, 1, 2, 25
Let u(r) = -r**3 + 10*r**2 + 7*r + 48. Let m be u(11). Solve 12*v**2 - 14*v**5 + 22*v**5 + v**m - 11*v**5 - 10*v**4 = 0 for v.
-2, 0, 1
Suppose -l - 2 = 3*a - 11, -3*a - 3 = -3*l. Let b(f) be the third derivative of 2/3*f**3 - 1/30*f**5 + 0*f + 1/12*f**4 + l*f**2 + 0. Factor b(o).
-2*(o - 2)*(o + 1)
Let t(n) be the second derivative of -n**5/4 + 5*n**4/12 + 23*n - 2. Solve t(h) = 0.
0, 1
Let c(m) be the third derivative of m**8/1344 - m**7/70 + 13*m**6/120 - 2*m**5/5 + 2*m**4/3 + 107*m**2. Factor c(a).
a*(a - 4)**2*(a - 2)**2/4
Let k(f) be the first derivative of 6*f - 9/2*f**2 + 1 + f**3. Factor k(g).
3*(g - 2)*(g - 1)
Let k(y) = y**2 + 3*y - 1. Let m be (0 - -1)*(-6)/(-3). Let q(z) = -4*z - 2*z**2 + 3*z**2 - m*z**2. Let u(w) = 4*k(w) + 3*q(w). Factor u(f).
(f - 2)*(f + 2)
Let r(n) be the third derivative of n**8/5880 + n**7/1470 + n**6/1260 - n**3/6 - 8*n**2. Let u(b) be the first derivative of r(b). Factor u(a).
2*a**2*(a + 1)**2/7
Let w(t) be the first derivative of 3*t**6/4 + 3*t**5/2 - 21*t**4/8 - 9*t**3/2 + 3*t**2 + 6*t - 113. Solve w(m) = 0.
-2, -1, -2/3, 1
Find a such that -3/4*a**2 - 5043 - 123*a = 0.
-82
Factor -6*u - 2*u - 13 - 6*u - 7 - 2*u**2.
-2*(u + 2)*(u + 5)
Solve 17*z**3 + 5*z**5 + 16*z**3 - 41*z**3 + 4*z**4 - 2*z**4 - 8*z**2 - 3*z**5 = 0.
-2, -1, 0, 2
Let m be (-7)/(14/(-10))*1. Suppose -14*y = -2*y. Factor 0 + 0*f**3 + 0*f**2 + y*f - 1/9*f**4 - 1/9*f**m.
-f**4*(f + 1)/9
Let h(u) = -u**3 + 5*u**2 + 5*u + 8. Let f be h(7). Let v = -109/2 - f. Suppose 10*x**4 - 1 - 9*x**2 + 11/2*x + v*x**3 - 6*x**5 = 0. Calculate x.
-1, 1/2, 2/3, 1
Let k(y) = -2*y**2 + 10*y - 8. Let a(d) = d - 1. Let t(q) = 4*a(q) + k(q). Determine b so that t(b) = 0.
1, 6
Find c, given that 4/3*c**3 + 4*c**4 + 0*c**2 + 0*c + 0 = 0.
-1/3, 0
Let i(q) = 2*q + 59. Let v be i(-26). Factor -v*f**2 - 13*f + 7*f - 3*f**3 + 16*f**2.
-3*f*(f - 2)*(f - 1)
Let r(y) be the third derivative of -y**6/360 + y**5/20 + 7*y**4/24 + 11*y**3/18 - 2*y**2 + 38. Let r(v) = 0. What is v?
-1, 11
Let j(t) = -t**4 + 21*t**3 + 3*t**2. Let b(w) = -w**4 + 43*w**3 + 5*w**2. Let u(a) = 3*b(a) - 5*j(a). Factor u(p).
2*p**3*(p + 12)
Let m(t) be the second derivative of t**6/25 - t**5/5 + 3*t**4/10 - 2*t**3/15 - 15*t - 2. Let m(j) = 0. What is j?
0, 1/3, 1, 2
Find k, given that -20*k**3 - 3*k**5 + 261*k**4 + 5*k**5 + 6*k**3 - 249*k**4 = 0.
-7, 0, 1
Let g(b) be the third derivative of -b**6/12 + b**5/30 - 81*b**2 - b. What is m in g(m) = 0?
0, 1/5
Let z(m) be the third derivative of m**5/70 - m**4/3 + 3*m**3/7 + 5*m**2 - 1. Factor z(x).
2*(x - 9)*(3*x - 1)/7
Find y such that 11*y + 2*y**2 - 7*y - 8 - 6*y + 4 = 0.
-1, 2
Let v(h) be the first derivative of -2*h**5/35 + 4*h**3/7 + 8*h**2/7 + 6*h/7 + 155. Determine j so that v(j) = 0.
-1, 3
Find r such that -18*r**2 + 0*r**4 - 250*r**3 + 253*r**3 + 2*r**4 + r**4 = 0.
-3, 0, 2
Let m(o) = -o**3 + 5*o**2. Let n(h) = -h**2 + h. Let k(a) = -m(a) - 3*n(a). Factor k(i).
i*(i - 3)*(i + 1)
Let h(l) be the first derivative of l**8/24 - 11*l**7/210 + l**6/60 + 23*l**2/2 + 22. Let s(o) be the second derivative of h(o). Determine r so that s(r) = 0.
0, 2/7, 1/2
Suppose -94*z**4 - 16*z**5 + 9*z**3 - 20*z**3 + 60*z**3 - 13*z**3 - 46*z**4 = 0. Calculate z.
-9, 0, 1/4
Suppose 4*o - 3 = 9. Let q(n) = -3*n**2 + 17*n + 10. Let b be q(6). Factor -1/3 - 1/3*k + 2/3*k**2 - 1/3*k**5 + 2/3*k**o - 1/3*k**b.
-(k - 1)**2*(k + 1)**3/3
Factor n**2 - 2/3*n**3 - 4/3 + 4/3*n - 1/3*n**4.
-(n - 1)**2*(n + 2)**2/3
Factor -20*p**4 - 24293*p**2 + 24358*p**2 - 190*p**3 + 5*p**4.
-5*p**2*(p + 13)*(3*p - 1)
Let z(l) be the first derivative of 0*l + 1/36*l**6 + 0*l**2 - 7 - 1/30*l**5 + 0*l**4 - 7/3*l**3. Let k(t) be the third derivative of z(t). Factor k(w).
2*w*(5*w - 2)
Let o = 150697/7 - 21527. Find n such that 2/7*n**2 - 6/7*n - o = 0.
-1, 4
Let d = -1/173 + 361/2595. Factor 0*b + 4/15*b**3 - 2/15*b**2 - d*b**4 + 0.
-2*b**2*(b - 1)**2/15
Let m(h) be the third derivative of 0*h**4 + 5*h**2 + 0*h + 1/6*h**3 + 0 - 1/45*h**6 + 1/60*h**5. Let r(a) be the first derivative of m(a). Factor r(c).
-2*c*(4*c - 1)
Factor 0 + 38/5*b**2 - 361/5*b - 1/5*b**3.
-b*(b - 19)**2/5
Solve 1/7*f**4 - 30/7*f + 0 - 43/7*f**2 - 12/7*f**3 = 0.
-2, -1, 0, 15
Let c(d) = 2*d + 10. Let f be c(-5). Suppose -n = -f*n - 4. Factor 1 + 12*o**2 - 3*o**4 - n*o**3 + 20*o + 5 - o**4 + 2.
-4*(o - 2)*(o + 1)**3
Let j(d) = 2*d**2 - 18*d + 2. Let w be j(9). Let 8/9 - 20/9*g**3 + 2*g**4 + 8/9*g**5 - 38/9*g**w + 8/3*g = 0. Calculate g.
-2, -1/4, 1
Suppose 2 + 10 = -4*h. Let s be (-2 + 2 - 0)/(h + 2). Determine w, given that 2/7*w**5 - 4/7*w**4 - 2/7*w + 0 + 4/7*w**2 + s*w**3 = 0.
-1, 0, 1
Let w(z) be the first derivative of 64*z**4 + 128/5*z**5 + 22*z**2 + 56*z**3 + 4*z - 4. Find r such that w(r) = 0.
-1, -1/2, -1/