*j**3 - 71*j**2 - 18*j - 3. Let z(t) = -30*t**4 - 326*t**3 - 354*t**2 - 90*t - 16. Let u(v) = -16*d(v) + 3*z(v). Factor u(x).
2*x*(x + 1)*(x + 9)*(3*x + 1)
Suppose -5*f = 5*m - 16 - 19, -3*f = 2*m - 16. Let y(j) be the second derivative of -1/10*j**3 - 1/60*j**4 + 0*j**f + 4*j + 0. Let y(o) = 0. Calculate o.
-3, 0
Let p be 8*(-4 - (37/20 - 6)). What is t in 3/5 + 3/5*t**4 - 6/5*t**2 - 3/5*t**5 - 3/5*t + p*t**3 = 0?
-1, 1
Let c(q) be the first derivative of 5/3*q**2 + 5/2*q + 5/18*q**3 - 6. Find p such that c(p) = 0.
-3, -1
Let p(t) be the third derivative of 0*t - 1/840*t**7 - t**2 - 1/120*t**5 + 0*t**3 + 0 + 1/160*t**6 + 0*t**4. Factor p(c).
-c**2*(c - 2)*(c - 1)/4
Let x(o) be the second derivative of -o**5/40 - o**4/6 - o**3/4 - 8*o - 3. Factor x(y).
-y*(y + 1)*(y + 3)/2
Let y = 10196 - 10196. Factor 1/5*w**3 + 1/5*w + y + 2/5*w**2.
w*(w + 1)**2/5
Factor -j**2 + 231*j - 32 - 139*j + 3 - 2 - 124*j.
-(j + 1)*(j + 31)
Suppose -14*p**4 + 4*p**5 - 22 + 22 - 532*p**2 - 992*p - 184*p + 66*p**4 + 116*p**3 = 0. What is p?
-7, -2, 0, 3
Let o(z) be the second derivative of -z**7/840 + 7*z**6/240 - 3*z**5/20 + 13*z**4/4 + 5*z + 2. Let m(i) be the third derivative of o(i). Factor m(c).
-3*(c - 6)*(c - 1)
Let q = -120 + 122. Let a(t) be the third derivative of -23/210*t**7 + 2*t**q - 13/60*t**5 + 0*t - 9/40*t**6 - 1/12*t**4 + 0 + 0*t**3 - 1/48*t**8. Factor a(z).
-z*(z + 1)**3*(7*z + 2)
Let n = -80 - -82. Suppose 2*w = n*r, -r = -2*w + 3*w - 4. Determine i, given that 6/7*i + 2/7*i**w + 4/7 = 0.
-2, -1
Let a be 12/3*(-4)/(12/(-9)). Suppose -3*y + a = -5*o, 0*o + 4*y - 16 = -5*o. Factor 3*i**2 + 0*i + 33/2*i**4 + 39/2*i**3 + o.
3*i**2*(i + 1)*(11*i + 2)/2
Let y = -347 + 352. Let p(g) be the first derivative of 3/4*g**2 - g + 1/2*g**4 + 7/3*g**3 - 7/12*g**6 - 6/5*g**y + 5. Let p(m) = 0. Calculate m.
-1, 2/7, 1
Let a(x) = 0*x**2 - 8 - 3 + 11*x**2 - 28*x**4 + 5*x**4 - 8*x**3. Let l(y) = -6*y**4 - 2*y**3 + 3*y**2 - 3. Let d(b) = 6*a(b) - 22*l(b). Factor d(i).
-2*i**3*(3*i + 2)
Let y = 361 - 2531/7. Let t = -2/7 - y. Let t*u**2 + 2/7*u**4 + 6/7*u**3 - 6/7*u - 4/7 = 0. Calculate u.
-2, -1, 1
Suppose 162*o - 2187/2 - 6*o**2 = 0. Calculate o.
27/2
Suppose -28/5*r**2 - 4/5*r**4 + 32/5 - 36/5*r**3 + 36/5*r = 0. What is r?
-8, -1, 1
Determine v so that 0*v + 4/11*v**3 + 2/11*v**4 + 0 + 2/11*v**2 = 0.
-1, 0
Let m(f) be the second derivative of -f**6/15 + f**5/5 + 2*f**4 - 6*f**3 - 27*f**2 - 2*f - 7. Factor m(l).
-2*(l - 3)**2*(l + 1)*(l + 3)
Let o(g) be the first derivative of 3/2*g**4 + 3/8*g**5 + 1/2*g**3 - 7/16*g**6 + 0*g**2 + 0*g - 13. Solve o(w) = 0 for w.
-1, -2/7, 0, 2
Let w(o) be the first derivative of -o**4/24 + o**3 - 9*o**2 + 17*o + 5. Let u(k) be the first derivative of w(k). Solve u(y) = 0.
6
Factor -32 + 76/5*q + 2/5*q**2.
2*(q - 2)*(q + 40)/5
Let 0 - 11/10*f + 6/5*f**2 - 1/10*f**3 = 0. What is f?
0, 1, 11
Let a(f) be the first derivative of f**4/4 + 8*f**3/3 + 7*f**2/2 + 2*f + 64. Let w be a(-6). Factor 12 + 64/3*c**2 - w*c.
4*(4*c - 3)**2/3
Find s such that 1/2*s**2 + 6 - 4*s = 0.
2, 6
Factor -11/3*d**2 - 1/3*d + 0 + 4*d**3.
d*(d - 1)*(12*d + 1)/3
Let 18/5*b**2 + 0*b - 27/5 + 1/5*b**4 - 8/5*b**3 = 0. Calculate b.
-1, 3
Suppose -p + 25 = 4*p. Factor 4*j + 56*j**4 + 128*j**3 + 84*j**2 - 38*j**3 + 8*j**p + 32*j**3 + 14*j.
2*j*(j + 3)**2*(2*j + 1)**2
Let f(a) be the third derivative of a**5/60 - 7*a**4/24 + 5*a**3/3 - 12*a**2 + 3. Solve f(g) = 0.
2, 5
Let w(o) be the third derivative of o**7/8400 - o**6/200 + 9*o**5/100 - 9*o**4/10 - 37*o**3/6 + 32*o**2. Let b(h) be the first derivative of w(h). Factor b(p).
(p - 6)**3/10
Let -2/11*o**2 + 10/11*o - 12/11 = 0. What is o?
2, 3
Let s(u) be the first derivative of u**5/5 - 59*u**4/4 + 380*u**3 - 3400*u**2 - 8000*u + 129. Factor s(b).
(b - 20)**3*(b + 1)
Let d(g) be the third derivative of -g**8/336 - g**7/210 + 7*g**6/120 + g**5/60 - g**4/4 - 199*g**2. Determine c so that d(c) = 0.
-3, -1, 0, 1, 2
Factor 6*k**4 + 358*k**2 - 88*k**2 + 342*k**3 + 24*k + 24*k + 21*k**4 - 93*k**3.
3*k*(k + 1)*(k + 8)*(9*k + 2)
Let g(x) be the third derivative of x**6/108 - x**5/15 + x**4/9 + 8*x**3/27 + 126*x**2. Factor g(y).
2*(y - 2)**2*(5*y + 2)/9
Suppose -t + 5*d - 8 = 3*d, t + 3 = d. What is p in 12*p + 5*p + 3*p**t + 76 - 47*p - 1 = 0?
5
Suppose 5*x + 4*x = 7*x. Let r(b) be the first derivative of x*b**2 - 14/5*b**5 + 0*b**3 + 3 + 0*b - b**4. Determine h, given that r(h) = 0.
-2/7, 0
Let a = -246 + 173. Let z = a + 77. Suppose -3/2*s**2 + 3/4*s**z + 0 + 3/4*s**3 + 0*s = 0. What is s?
-2, 0, 1
Let n be 7 + (-1)/(259/(-140) + 2). What is m in -m + 2/3*m**2 + n*m**3 + 0 = 0?
-3, 0, 1
What is l in 18/5*l**3 - 19/5*l - 8/5*l**4 + 12/5 - 4/5*l**2 + 1/5*l**5 = 0?
-1, 1, 3, 4
Solve 2*t**3 + 8*t**4 - 939*t - 8*t**2 + 939*t - 4*t**5 + 2*t**5 = 0 for t.
-1, 0, 1, 4
Let u(f) be the second derivative of -f**4/12 - f**2/2 + 22*f. Let h(r) = 2*r**2 - 36*r - 158. Let q(l) = h(l) + 4*u(l). Factor q(y).
-2*(y + 9)**2
Suppose 5*x - 6 = 4. Let z = 37 - 28. Find v, given that -2*v - 26*v**3 - 4*v + 2*v**3 - z*v**4 - 21*v**x = 0.
-1, -2/3, 0
Let s(b) = -2*b**3 + 27*b**2 - 5*b - 96. Let v be s(13). Factor -24 - 2/3*m**2 + v*m.
-2*(m - 6)**2/3
Let a(t) be the first derivative of 1/3*t**6 - 48*t**2 + 64*t + 32/3*t**3 - 15 + 4*t**4 - 12/5*t**5. Suppose a(y) = 0. Calculate y.
-2, 2
Let p(d) be the first derivative of -2/3*d**3 - 6 + 3/2*d**2 + 2*d. Factor p(y).
-(y - 2)*(2*y + 1)
Let m = -58 + 98. Find d, given that d - 10*d - 6*d**2 - 6*d + m*d**3 - 19*d**2 = 0.
-3/8, 0, 1
Let -2/11*j**4 - 460/11*j - 32/11*j**3 - 400/11 - 186/11*j**2 = 0. What is j?
-5, -4, -2
Let i(s) be the first derivative of s**4 + 200*s**3/3 - 2*s**2 - 200*s - 574. Factor i(h).
4*(h - 1)*(h + 1)*(h + 50)
Let g(q) = -q - 3*q + 2 + 18*q**2 - 16*q**2. Let t be g(2). Determine b so that 2/5*b**t + 2/5*b - 4/5 = 0.
-2, 1
Let n(h) be the second derivative of -h**6/15 + 9*h**5/10 - 10*h**4/3 + 4*h**3 - h + 134. Factor n(s).
-2*s*(s - 6)*(s - 2)*(s - 1)
Let i be 1/3*0 - 6. Let d be (4/i)/((-3)/9). Factor 5*s**d + s - 3*s + 0*s - 3.
(s - 1)*(5*s + 3)
Let z(p) = -114*p**3 - 65*p**2 - 2*p + 3. Let x(w) = 457*w**3 + 259*w**2 + 10*w - 11. Let f(o) = 6*x(o) + 22*z(o). Factor f(h).
2*h*(9*h + 2)*(13*h + 4)
Let b(y) be the third derivative of 1/6*y**3 + 0*y + 1/60*y**5 - 8*y**2 + 0 - 1/12*y**4. Determine w, given that b(w) = 0.
1
Let r(o) be the third derivative of -1/18*o**4 + 0*o - 1/504*o**8 + 0*o**3 - 9*o**2 + 1/90*o**5 - 1/315*o**7 + 0 + 1/60*o**6. Let r(c) = 0. Calculate c.
-2, -1, 0, 1
Let h be 2 - 0 - 2 - 3. Let y be h - -4 - (-1 + -1). Determine z so that 18*z**2 - 3 + 6 - 12*z + 0 - 12*z**y + 3*z**4 = 0.
1
Suppose -3*r = -t + 6, 5*t + 2*r + 2*r = 30. Factor 2*m**3 + 391*m**2 + t*m - 388*m**2 - 5*m**3.
-3*m*(m - 2)*(m + 1)
Let y(j) = j**3 - 13*j**2 - 14*j + 3. Let w be y(14). Let -w - 3*r**2 + 7 + r**4 - 15*r + 2*r**3 + 11*r = 0. What is r?
-2, 1
Let l(p) = -p**2 - 1. Let h(q) be the second derivative of -q**4/3 + 4*q**3/3 - 4*q**2 + 12*q. Let n(j) = -h(j) + 8*l(j). Factor n(g).
-4*g*(g + 2)
Let l(f) be the first derivative of f**6/120 - f**5/40 - f**4/16 + f**3/6 + f**2/2 + 6*f - 10. Let z(u) be the first derivative of l(u). Factor z(h).
(h - 2)**2*(h + 1)**2/4
Let j(y) = 39*y**3 + 119*y**2 + 43*y + 15. Let b(c) = 20*c**3 + 59*c**2 + 22*c + 7. Let a(h) = -13*b(h) + 6*j(h). Solve a(s) = 0.
-1, -1/26
Factor 24/13 + 2/13*f**2 + 16/13*f.
2*(f + 2)*(f + 6)/13
Let h(c) be the first derivative of -c**4/12 + 7*c**3/9 - c**2 + 536. Suppose h(g) = 0. What is g?
0, 1, 6
Let z be (-3)/15 - 1/(-5). Let j(w) = 3 + 3 - 7 + z. Let y(h) = 2*h**2 - 6*h - 6. Let m(x) = 2*j(x) + y(x). Determine a, given that m(a) = 0.
-1, 4
Let t(o) = o**3 + 10*o**2 + 20*o - 2. Let p be t(-7). Let k(h) be the first derivative of 3*h**4 + 1 + 8*h + 12*h**2 + 26/3*h**3 + 2/5*h**p. Factor k(i).
2*(i + 1)**2*(i + 2)**2
Let v(q) be the second derivative of -q**4/30 + 8*q**3/15 + 9*q**2/5 + 95*q. Find c, given that v(c) = 0.
-1, 9
Let x be (-175)/(-55) - (-4)/(-22). Suppose 2*h - x*h = -3. Factor 8*q + h*q**3 - 4 - 5*q**3 - 2*q + 0.
-2*(q - 1)**2*(q + 2)
Suppose -263 + 338 = 25*n. Let j(t) be the first derivative of -8 + 0*t**2 + 0*t + 1/2*t**n + 3/8*t**4. Find p, given that j(p) = 0.
-1, 0
Let u = 1094 - 1094. Factor u*i