*w**2.
2*w**2*(11*w + 3)
Let s(w) = -2*w**2 - 34*w + 8. Let g be s(-17). Factor -z**3 + z**3 + 2*z**3 - g*z.
2*z*(z - 2)*(z + 2)
Let n = 2311/26 - -723/13. Let p = n + -144. Factor -p*q**4 + 3/2*q**3 + 0 + 1/2*q - 3/2*q**2.
-q*(q - 1)**3/2
Find p such that 6/5*p + 9/5*p**2 + 4/5*p**3 + 1/5 = 0.
-1, -1/4
Let j = -68 - -72. Factor 4*p**5 - 6*p**5 + 9*p**j + 6*p**5 + 40*p**2 + 20*p + 4 + 40*p**3 + 11*p**4.
4*(p + 1)**5
Suppose -11 = 9*o - 56. Determine w, given that -9*w**3 + 8*w**4 - 4*w**o + 5*w**3 + 0 + 0 = 0.
0, 1
Suppose -7*v + 3*k = -10*v + 6, -5*v + 5*k = -30. Let r be (-11860)/(-30) + (3 - v). Factor -r*y**3 + 76/3*y + 26/3*y**2 - 8/3.
-(7*y + 2)*(13*y - 2)**2/3
Factor 8 - 170/7*x + 6/7*x**2.
2*(x - 28)*(3*x - 1)/7
Let h = 422 + -206. Factor -25*f**2 - h + 206 + 120*f**3 + 80*f**4 - 90*f**2 - 75*f.
5*(f - 1)*(f + 2)*(4*f + 1)**2
Let f(k) be the third derivative of -k**5/120 - 3*k**4/16 + 5*k**3/6 - 601*k**2. Factor f(p).
-(p - 1)*(p + 10)/2
Let w(r) be the third derivative of r**5/60 + r**4/4 + 97*r**2. Find d such that w(d) = 0.
-6, 0
Let q(a) be the second derivative of -a**5/300 - a**4/12 - 5*a**3/6 + 7*a**2/2 + 14*a. Let j(d) be the first derivative of q(d). What is k in j(k) = 0?
-5
Let p(b) = 24 + 6*b**2 - 5*b**2 - 22 - 11*b. Let d be p(11). What is a in -1/4*a**d + 0*a + 1/4 = 0?
-1, 1
Let a(b) be the second derivative of -1/18*b**4 - 7*b - 1/3*b**3 + 0 - 2/3*b**2. Factor a(o).
-2*(o + 1)*(o + 2)/3
Let i(s) be the third derivative of s**6/210 - 76*s**5/105 + 25*s**4/14 - 142*s**2. Factor i(f).
4*f*(f - 75)*(f - 1)/7
Let x(i) be the second derivative of -i**5/5 + 21*i**4 - 882*i**3 + 18522*i**2 - 51*i. Solve x(l) = 0.
21
Let y = -4967 + 24853/5. Factor -y + 3*f - 3/5*f**2.
-3*(f - 3)*(f - 2)/5
Let d(q) be the third derivative of -1/390*q**5 + 13*q**2 + 0 + 0*q**3 + 1/78*q**4 + 0*q. Factor d(c).
-2*c*(c - 2)/13
Let o(k) = 2*k - 12. Let l(u) = u. Let d be l(7). Let z be o(d). Factor 10*f**2 + z*f - 7*f**4 + 7*f**4 - 18*f**4 + 6*f**3.
-2*f*(f - 1)*(3*f + 1)**2
Suppose 2*k - 4*w = -7*w + 5, 3*w = -k + 10. Let y be 3/(k - -6) - 0/1. Find n such that 12/7*n**2 - 2/7*n**y - 24/7*n + 16/7 = 0.
2
What is i in 0 - 3*i - 16/3*i**3 + 13*i**2 - 64/3*i**4 = 0?
-1, 0, 3/8
Let h be (((-16)/18)/(-8))/(11/33). Find d such that 1/3*d**5 + 0 - h*d**4 + 0*d + 1/3*d**2 - 1/3*d**3 = 0.
-1, 0, 1
Determine k so that 4/5*k + 52/5 - 52/5*k**2 - 4/5*k**3 = 0.
-13, -1, 1
Let f(k) be the second derivative of k**7/147 - 2*k**6/105 - 2*k**5/7 + 4*k**4/21 + 128*k**3/21 + 128*k**2/7 + 54*k. Suppose f(n) = 0. Calculate n.
-2, 4
Suppose 0 = 3*y - 8 + 2. Suppose 4*h - y*h - 196 = 0. Determine m, given that 12*m - 9*m**3 + 98 - h - 12*m**2 = 0.
-2, 0, 2/3
Let t(s) be the second derivative of 5*s**7/84 - 340*s. Determine v so that t(v) = 0.
0
Let b(r) be the second derivative of -5*r**4/24 - 5*r**3/2 + 20*r**2 - 363*r. Factor b(x).
-5*(x - 2)*(x + 8)/2
Let m = -10289/30 - -343. Let b(p) be the first derivative of 1/25*p**5 - m*p**6 + 1/10*p**4 + 5 - 2/15*p**3 + 1/5*p - 1/10*p**2. Factor b(z).
-(z - 1)**3*(z + 1)**2/5
Let m be (((-28)/(-6))/7)/((-4)/6). Let g be 1/8 - m/(-8). Factor 0*t + g - 2/13*t**2.
-2*t**2/13
Let f(k) be the first derivative of 15*k**6/2 + 42*k**5/5 - 9*k**4/4 - 2*k**3 + 65. What is o in f(o) = 0?
-1, -1/3, 0, 2/5
Solve 0 - 1/5*o**2 - 14/5*o = 0 for o.
-14, 0
Let a(k) = -2*k**2 - 2*k - 1. Let z(p) = 3*p**2 + 423*p + 4. Let b(u) = 4*a(u) + z(u). Factor b(h).
-5*h*(h - 83)
Suppose 0 = 10*w - 43 - 7. Let c(o) be the first derivative of 0*o - w - 2/15*o**3 - 3/5*o**2. Suppose c(r) = 0. Calculate r.
-3, 0
Suppose -2*s - 5*h + 17 = 0, 3*s = 2*s + 2*h + 13. Factor -s*i + i + 2 - 3*i**2 + 3 + 8*i**2.
5*(i - 1)**2
Let z be (-4)/(((-35)/140)/(1/6)). Factor z*q + 0 + 8/3*q**2 + 2/3*q**3.
2*q*(q + 2)**2/3
Factor -26*w**2 + 3*w**3 + 8*w**3 - 2*w + 26 + 7*w**3 - 17*w**3 + w**3.
2*(w - 13)*(w - 1)*(w + 1)
Suppose -3 - 1 = 4*t, -4*t = -4*c - 2272. Let n = c + 2856/5. Find u, given that n*u - 4*u**3 - 7/5*u**2 - 2/5 = 0.
-1, 1/4, 2/5
Let y(m) be the first derivative of -2*m**3/3 - 3*m**2 + 48. Suppose y(s) = 0. Calculate s.
-3, 0
What is u in -5/3*u**3 + 1/6*u**4 - 4/3*u + 17/6*u**2 + 0 = 0?
0, 1, 8
Suppose n = 5*x + 13, 0*n - 2*n - x = -4. What is w in 7*w**3 - 27*w - 2*w**n - 2*w**3 = 0?
-3, 0, 3
Let u be 160/24 - 25/15. Let l(g) be the first derivative of 0*g**4 + 0*g + 2/25*g**u + 0*g**2 - 2/15*g**3 + 9. Factor l(i).
2*i**2*(i - 1)*(i + 1)/5
Let s(z) = -6*z**5 - 6*z**4 + 4*z**3 + 2*z**2 - 2*z + 2. Let w(t) = -10*t**5 - 13*t**4 + 7*t**3 + 5*t**2 - 5*t + 5. Let i(q) = 10*s(q) - 4*w(q). Factor i(c).
-4*c**3*(c + 1)*(5*c - 3)
Let v(l) = 113*l**2 - 3*l - 10. Let a be v(5). Suppose 452*o**3 - 4000*o + 33*o**5 + 116*o**4 + a*o**2 + 144*o**3 - 29*o**5 + 484*o**3 = 0. Calculate o.
-10, 0, 1
Let w(u) be the first derivative of 20*u - 25/3*u**3 + 5/6*u**6 + 10*u**2 - 25/4*u**4 + 13 + u**5. Let w(l) = 0. Calculate l.
-2, -1, 1, 2
Let l(u) be the first derivative of -18 + 0*u + 1/9*u**2 + 2/27*u**3. Factor l(o).
2*o*(o + 1)/9
Let l(w) be the first derivative of 0*w**4 - 3/25*w**5 + 16 + 0*w**2 + 0*w - 1/10*w**6 + 0*w**3. Let l(d) = 0. What is d?
-1, 0
Let n(f) be the first derivative of -f**6/90 + f**5/10 - f**4/4 + f - 12. Let d(u) be the first derivative of n(u). Determine r so that d(r) = 0.
0, 3
Let i(v) = -v**2 - 12*v - 2. Let f be i(-9). Let u be (-40)/f - 4/(-1). Suppose -u + 3/5*z**2 - 12/5*z + 3/5*z**3 = 0. Calculate z.
-2, -1, 2
Let x = -1619 + 811121/501. Let r = 332/501 + x. Factor -2/3 - r*l - 1/6*l**2.
-(l + 2)**2/6
Let u be ((-15)/(-60))/((-5)/(-84)) + -4. Factor -1/5*q + 1/5*q**3 - u*q**2 + 1/5.
(q - 1)**2*(q + 1)/5
Let f be (-2 - -3)/(2*(-2)/(-16)). Let 4*s**5 - 8*s - 16 - 44*s**2 - 32*s + 10*s**4 - f*s**3 - 8*s + 2*s**4 = 0. What is s?
-2, -1, 2
Let o(g) = 7*g**2 - 36*g + 69. Let d(w) = -3*w**2 + 5*w. Let x(l) = 6*d(l) + 3*o(l). Find k such that x(k) = 0.
3, 23
Let w(d) = -107*d - 102*d + d**3 + 197*d + 16*d**2. Let x(a) = 8*a**2 - 6*a. Let t(l) = -4*w(l) + 10*x(l). Factor t(v).
-4*v*(v - 3)*(v - 1)
Let h(m) be the first derivative of -5*m**3/3 + 85*m**2/2 - 150*m - 62. Solve h(k) = 0.
2, 15
Let x be 169/143 - ((0 - 3) + 4). Find f, given that -2/11*f**3 + 0 + 0*f**2 + 0*f + x*f**4 = 0.
0, 1
Let f(p) be the second derivative of -p**4/42 + 13*p**3/21 - 12*p**2/7 + 50*p. Factor f(m).
-2*(m - 12)*(m - 1)/7
Let o(b) be the third derivative of b**8/672 - b**7/70 + b**6/30 + 2*b**5/15 - b**4 + 8*b**3/3 + 107*b**2. Determine h, given that o(h) = 0.
-2, 2
Let s(i) = -i**3 - 28*i**2 + 50*i - 27. Let u(b) = -b**3 - 28*b**2 + 47*b - 26. Let r(w) = -4*s(w) + 3*u(w). Factor r(f).
(f - 1)**2*(f + 30)
Find b such that -204 - 66*b + 2*b**2 + 41*b + 227*b = 0.
-102, 1
Let z(t) be the first derivative of -6*t**5/5 + t**4/2 + 6*t**3 - 9*t**2 + 4*t + 104. Suppose z(q) = 0. Calculate q.
-2, 1/3, 1
Suppose 0 = -a - 5*o - 2 + 11, 0 = -5*o - 25. Let f be 0 - 3 - 1/((-10)/a). Factor f*n**3 + 0*n + 0 + 0*n**2 + 2/5*n**4.
2*n**3*(n + 1)/5
Let o(t) = 3*t**3 + t**2 + t - 1. Let l be o(1). Suppose 2 = 2*w - l. Factor -4*x**2 + 2*x**2 + 3*x**3 - x**w.
2*x**2*(x - 1)
Let n be ((-15)/(-20))/((-2)/(-8)). Suppose -n*q + 4*l + 4 = 2*l, 5*q = -5*l + 15. Find o, given that -10 + 9 + 4*o**2 + 0*o**q + 2*o - 5*o**2 = 0.
1
Factor -9/7*b**3 + 0 + 0*b + 6/7*b**2 + 3/7*b**4.
3*b**2*(b - 2)*(b - 1)/7
Let r(j) = -j**3 - j + 182. Let y be r(0). Determine q, given that y*q**2 + 1 - 186*q**2 + 3 = 0.
-1, 1
Let d(t) be the second derivative of -t**5/40 + 5*t**4 - 400*t**3 + 16000*t**2 - 251*t. Find u, given that d(u) = 0.
40
Let v be 14 - 9*3/9. Suppose 2*n = 1 - v, -5*p + 2*n = -30. Factor -47*k - 47*k - 416*k**3 - 360*k**2 - 12 + 128*k**p + 4.
2*(k - 4)*(4*k + 1)**3
Let b(k) = k**3 + 6*k**2 - 7*k + 3. Let g be b(-7). Let p(h) = h. Let j be p(g). Let -2*m**2 + 3*m**j - 2*m**2 + 3*m - 2*m**2 + 0*m**2 = 0. What is m?
0, 1
Let z(h) be the third derivative of -h**8/168 - 2*h**7/105 + h**6/20 + 557*h**2. Determine t so that z(t) = 0.
-3, 0, 1
Let l(x) be the third derivative of -x**5/300 - 4*x**4/15 - 128*x**3/15 - 7*x**2 - 3. Factor l(i).
-(i + 16)**2/5
Suppose -5*r = -0*r, 4*h = 4*r - 52. Let u = -10 - h. Let -u + 0 - 21*d - 7 + 1 - 6*d**2 = 0. What is d?
-3, -1/2
Let u(q) = 13*q**3 + 13*q**2 - 22*q + 32