ctor -12*y**4 + 2*y**3 - 6*y**3 + 0*y**3 + 14*y**4 - 6*y**2.
2*y**2*(y - 3)*(y + 1)
Let w(x) be the third derivative of -x**5/15 - 25*x**4/72 - x**3/9 + 2*x**2 - 450*x. Factor w(r).
-(r + 2)*(12*r + 1)/3
Let y be -3 + (-74)/(-24) - 3913/(-5460). Factor -y - 4/5*c**2 + 8/5*c.
-4*(c - 1)**2/5
Let p = -174 + 173. Let t be (-5)/(-60)*p*-2. Factor 1/6*b - t*b**4 - 1/6*b**3 - 1/3 + 1/2*b**2.
-(b - 1)**2*(b + 1)*(b + 2)/6
Let n(t) be the first derivative of t**4/22 - 2*t**3/33 - 3*t**2 - 126*t/11 + 156. Determine k so that n(k) = 0.
-3, 7
Let l(x) be the second derivative of 8192/5*x**2 + 0 + 4096/15*x**3 - 10*x + 2/75*x**6 + 128/5*x**4 + 32/25*x**5. Factor l(j).
4*(j + 8)**4/5
Let t(s) be the second derivative of 1/12*s**4 + 2*s - 4/3*s**3 + 0*s**2 + 1. What is w in t(w) = 0?
0, 8
Let c(l) = l**3 + 4*l**2 + 3*l + 3. Let t be c(-3). Factor 11*y**2 - 50*y**2 - 18*y**4 + 45*y**3 + 12*y + t*y**5 - 2*y**4 - y**4.
3*y*(y - 4)*(y - 1)**3
Let b(k) = k**2 + 6*k + 7. Let a be b(-5). Let s be 7 + 1/((-1)/a). Determine i so that 0*i**4 + 6*i + 3*i**s - 3*i**4 - 11*i**3 + 2*i**3 + 0*i + 3*i**2 = 0.
-1, 0, 1, 2
Let d(j) be the third derivative of -j**7/70 - j**6/40 - j**5/20 - j**4/24 + j**3/3 + 5*j**2. Let n(x) = x**4 - 1. Let p(s) = -d(s) - 2*n(s). Solve p(h) = 0.
-1, 0
Let n(u) be the third derivative of -u**7/420 + 7*u**6/120 - 49*u**5/120 - 47*u**2. Factor n(y).
-y**2*(y - 7)**2/2
Let v(l) be the first derivative of 2*l**3/27 + 388*l**2/9 + 75272*l/9 + 508. Determine w so that v(w) = 0.
-194
Factor 3/2*f - 1/4*f**2 - 5/4.
-(f - 5)*(f - 1)/4
What is o in -180*o**2 - 156*o**2 + 2*o**3 + 8 - 58*o + 22 + 362*o**2 = 0?
-15, 1
Suppose -2*j - 18 = -4*o, j + 4 = -3*o + 10. Suppose -5*n + 26 = -u - 3*u, -u + 2 = o*n. Factor -2 + 3/2*z**n - 1/2*z**3 + 0*z.
-(z - 2)**2*(z + 1)/2
Suppose 12*q**3 - 21*q**3 + 9*q**4 - 7*q**3 + 4*q**2 + 3*q**4 = 0. Calculate q.
0, 1/3, 1
Let h(s) be the first derivative of s**6/120 + s**5/20 + s**4/12 + s**2 - 12. Let v(y) be the second derivative of h(y). Determine m, given that v(m) = 0.
-2, -1, 0
Suppose -16*a = -21*a. Let m(w) be the second derivative of -1/6*w**3 + 1/12*w**4 + 0 - 5*w - 1/80*w**5 + a*w**2. Let m(x) = 0. Calculate x.
0, 2
Let i(u) be the second derivative of -1/45*u**6 - 19*u - 13/18*u**4 + 1/3*u**3 - 7/30*u**5 + 0 + 6*u**2. Find z such that i(z) = 0.
-3, -2, 1
Factor -8*r**3 + 8*r + 15 + 4*r**2 - 16 - 5 + 2*r**4.
2*(r - 3)*(r - 1)**2*(r + 1)
Let x be (1 - 3 - -2) + 3. Let -27*m**3 - 1 + m**4 - 27*m**x + 37 + 44*m**3 + 37*m**2 - 60*m = 0. Calculate m.
2, 3
Suppose 2*y - 4 + 0 = 0. Suppose -2*s + 86 = -4*n, -80 = -y*s + n - 3*n. What is x in -3*x + x**3 + 6*x - x**2 - 2*x**2 - s + 40 = 0?
1
Let c = 1021 + -5103/5. Let 0 + 0*o**2 - 1/5*o**5 + 0*o**4 + c*o**3 - 1/5*o = 0. What is o?
-1, 0, 1
Let t be (-87)/(-18) + (-3)/(-18). Suppose 0 = -3*k - 5*z + 1, 3*z + 2*z + t = 0. Factor 2/9*o**3 - 2/9*o - 2/9 + 2/9*o**k.
2*(o - 1)*(o + 1)**2/9
Let k be (-21)/(-60) - (15/((-675)/(-252)) + -6). Factor -k*r**3 + 1/2 - 1/2*r**2 + 3/4*r.
-(r - 1)*(r + 1)*(3*r + 2)/4
Let i(j) be the first derivative of j**4/20 - j**3/2 + 3*j**2/10 + 7*j/10 + 195. Factor i(w).
(w - 7)*(w - 1)*(2*w + 1)/10
Suppose 6 = -4*v + 350. What is k in -2 + v*k**2 - 27*k**3 + 5*k**3 - 20*k**3 - 6 = 0?
-2/7, 1/3, 2
Let x(b) = 6*b**5 - 4*b**4 - 6*b**3 + 9*b**2 - 5*b + 5. Let c(i) = i**5 - i**3 + i**2 - i + 1. Let t(m) = -5*c(m) + x(m). Determine s, given that t(s) = 0.
-1, 0, 1, 4
Suppose 4*m = -2*f + 20, -5*m = 2*f - 23 - 1. Suppose -4*x + 29 - 9 = 0. Solve 11*k**3 - 3*k**4 - k**2 + 4*k**f + 3*k**x - 14*k**3 = 0.
-1, 0, 1
Suppose 39/5*r**3 + 36/5*r + 138/5*r**2 + 3/5*r**4 - 216/5 = 0. Calculate r.
-6, -2, 1
Let f = -1355 - -1358. Solve 0 + 0*z + 2/5*z**f - 2/5*z**4 + 0*z**2 = 0 for z.
0, 1
Let p = -473 + 476. Let f(u) be the third derivative of -1/270*u**5 + 0 - 4/27*u**p + 0*u - 1/27*u**4 - 2*u**2. Factor f(o).
-2*(o + 2)**2/9
Let h(d) be the second derivative of 49*d**6/6 - 175*d**5/4 - 45*d**4 + 250*d**3/3 - 40*d**2 - d + 41. What is i in h(i) = 0?
-1, 2/7, 4
Solve 2/5*i**4 + 0*i**2 + 0*i - 2/5*i**3 + 0 - 1/10*i**5 = 0.
0, 2
Let a = 841 + -5045/6. Factor 0 - 1/3*i**2 + 1/6*i**3 + a*i.
i*(i - 1)**2/6
Let i(n) be the third derivative of -n**7/245 + 2*n**6/35 - n**5/14 - 25*n**4/14 - 125*n**2. Factor i(v).
-6*v*(v - 5)**2*(v + 2)/7
Suppose 0 = 3*v + 1619 - 1646. Let z(b) = 4*b**2 + 13*b - 9. Suppose y - 3*y = 4. Let s(u) = u**2 + 3*u - 2. Let o(x) = v*s(x) + y*z(x). Factor o(g).
g*(g + 1)
Let p(k) be the first derivative of -4/3*k**2 - 4/3*k + 1/3*k**3 + 24 + 7/12*k**4 + 2/15*k**5. Factor p(o).
(o - 1)*(o + 2)**2*(2*o + 1)/3
Let o(h) = 11*h**2 + 19*h + 10. Let r(s) = s**2 - s + 1. Let y(i) = -o(i) + 4*r(i). Determine q so that y(q) = 0.
-3, -2/7
Suppose 0 = 15*q - 1414 - 3356. Solve -8 + q*l + 6*l**3 - 288*l - 27*l**2 + 2*l**3 - 3*l**3 = 0 for l.
2/5, 1, 4
Let q(x) be the first derivative of x**4/2 + 10*x**3/3 - 8*x**2 - 24*x + 163. Factor q(a).
2*(a - 2)*(a + 1)*(a + 6)
Let h = 26/3 + -101/12. Find z such that -1/4 - 1/4*z**3 - z**2 + h*z**4 - 7/8*z + 1/8*z**5 = 0.
-1, 2
Let g = -14 + 11. Let f be (2/g)/((-14)/63). What is t in -2*t + t**f + 3*t**3 - 2*t**3 - 2*t**2 + 2*t**4 = 0?
-1, 0, 1
Suppose -5*q - 24 = -49. Let x(f) = -13*f**2 + 6*f + 2. Let s(u) = -u**3 - u**2 + u. Let a(d) = q*s(d) - x(d). Let a(g) = 0. What is g?
-2/5, 1
Let v(f) be the first derivative of 3*f**4/4 - f**3 - 75*f**2/2 + 75*f - 425. Let v(k) = 0. Calculate k.
-5, 1, 5
Factor 5/4*o**3 + 0 + 1/4*o**4 + 0*o**2 + 0*o.
o**3*(o + 5)/4
Let c(x) be the first derivative of -2 - 3/28*x**4 + 4/35*x**5 - 5/21*x**3 + 1/7*x + 3/14*x**2. Suppose c(k) = 0. Calculate k.
-1, -1/4, 1
Suppose 4*h = -3*d + 29, 2*d + 0 = 6. Let x = 224/141 + -12/47. Factor -4/9*n**2 + 2/9*n**h - 2/9*n**4 - x*n**3 + 2/3 + 10/9*n.
2*(n - 3)*(n - 1)*(n + 1)**3/9
Let l(u) be the third derivative of -u**6/48 - u**5/8 - 5*u**4/16 - 5*u**3/12 - 13*u**2 + 2*u. Factor l(n).
-5*(n + 1)**3/2
Let y(b) = -9*b - 4*b**2 + 8*b - 4*b**3 + 5*b**3 + b**2. Let x(o) = o**3 - 7*o**2 - o. Let j(c) = -3*x(c) + 7*y(c). Determine r, given that j(r) = 0.
-1, 0, 1
Let u(w) be the first derivative of -w**6/15 - 16*w**5/25 - 21*w**4/10 - 12*w**3/5 + 2. Factor u(m).
-2*m**2*(m + 2)*(m + 3)**2/5
Let h be 0 - 2 - (20 + -27). Factor -5 - m - 4 - 7*m**2 - 38*m - h*m**2.
-3*(m + 3)*(4*m + 1)
Let s be 2173/119 - 15 - (-4)/(-34). Solve -s*j**2 - 48/7*j - 8/7 = 0.
-2, -2/11
Let n(f) be the first derivative of -f**7/210 + 2*f**6/45 - f**5/10 - 5*f**3 - 2. Let m(g) be the third derivative of n(g). Factor m(k).
-4*k*(k - 3)*(k - 1)
What is y in -76/9*y - 4/9*y**2 - 8 = 0?
-18, -1
Let j be (-2)/9*(-21)/(-7) + 1. Factor 1/3*k**2 - j - 1/3*k + 1/3*k**3.
(k - 1)*(k + 1)**2/3
Suppose 2/5*z**3 + 0*z**2 - 6/5*z + 4/5 = 0. Calculate z.
-2, 1
Let c(h) be the first derivative of 0*h**3 + h**5 - 5/12*h**4 + 0*h**2 + 0*h + 14. Factor c(l).
5*l**3*(3*l - 1)/3
Solve 4/5*z + 2*z**4 + 0 - 4/5*z**3 - 2*z**2 = 0 for z.
-1, 0, 2/5, 1
Suppose 19*h - 5 = 14*h. Factor -7 - h - 4*b**4 + 8*b**2 + 4.
-4*(b - 1)**2*(b + 1)**2
Let j(o) be the second derivative of -o**6/30 - o**5/10 + o**4/4 + 2*o**3/3 - 2*o**2 - 3*o - 7. Factor j(r).
-(r - 1)**2*(r + 2)**2
Let r be (-1)/(-5) - (28550/875 - 33). Factor -72/7*a - r*a**2 + 16/7 + 18/7*a**3.
2*(a - 2)*(a + 2)*(9*a - 2)/7
Let k = 3315 - 6629/2. Find j, given that -7/4*j**3 - k + 1/2*j**2 + 7/4*j = 0.
-1, 2/7, 1
Let c(q) be the third derivative of 1/160*q**6 + 1/4*q**3 - 10*q**2 + 3/80*q**5 + 0*q + 0 - 5/32*q**4 - 1/280*q**7. Factor c(w).
-3*(w - 1)**3*(w + 2)/4
Let k be -3*(-12)/9 - 1. Let 3 - 15*u - 11 - 1 + 21*u + k*u**2 = 0. Calculate u.
-3, 1
Let n(t) be the third derivative of -1/690*t**5 - 5/69*t**3 + 0 + 20*t**2 - 1/46*t**4 + 0*t. Determine z, given that n(z) = 0.
-5, -1
Factor -46*v - 527*v**2 + 8 + 1153*v**2 - 44*v**3 + 7*v**4 - 551*v**2.
(v - 4)*(v - 1)**2*(7*v - 2)
Let t(i) be the third derivative of 0*i + 9*i**2 - 1/240*i**5 + 1/48*i**4 + 0 + 1/448*i**8 + 0*i**3 - 1/96*i**6 + 1/840*i**7. Let t(g) = 0. What is g?
-1, 0, 2/3, 1
Suppose 0 = -5*z + 2*h + 2 + 1, 3 = 3*h. Let c(m) = 5*m**2 + 7*m. Let r(p) = -p. Let u(q) = z*c(q) + 2*r(q). Suppose u(w) = 0. Calculate w.
-1, 0
Let c(r) be the first derivative of 5/4*r**4 - 25/3*r**3 + 20*r**2