*z(n). Factor j(y).
-5*(y - 11)*(y + 1)
Let g(w) be the second derivative of 9*w**7/14 + 12*w**6/5 + 3*w**5/5 - 11*w**4/2 - 13*w**3/2 - 3*w**2 - 2*w + 17. What is a in g(a) = 0?
-2, -1, -1/3, 1
Let k be 0/(-2 - (3 + -6)). Let b(m) be the first derivative of 1/18*m**3 + 0*m**2 + k*m + 1/30*m**5 - 6 + 1/12*m**4. Factor b(l).
l**2*(l + 1)**2/6
Let j = 131 - 129. What is q in -5*q**2 - 114*q**3 - 14*q + 113*q**3 - 8 - j*q**2 = 0?
-4, -2, -1
Let k be (-3 + 14/12)*(-4)/11. Let h(x) be the first derivative of 3 - 2*x - k*x**3 - 2*x**2. What is m in h(m) = 0?
-1
Let c(p) be the second derivative of p**8/1680 - p**7/360 + p**6/360 + p**5/120 + 5*p**4/12 - 25*p. Let v(m) be the third derivative of c(m). Factor v(z).
(z - 1)**2*(4*z + 1)
Let v = 42349/4 - 10585. Suppose 5*p = -3*m + 16, -4*m + 18 = 3*p + 4. Factor 3/4*h**3 + 0*h**m - 3/2 - v*h.
3*(h - 2)*(h + 1)**2/4
Factor 5*j**2 - 46*j - 3*j**2 + 35*j + 9*j.
2*j*(j - 1)
Let d = -288984/13 + 22230. Factor 0 + 2/13*p**2 + d*p.
2*p*(p + 3)/13
Let a be 928/(-87)*(-3)/7. Let -a - 148/7*i**3 - 176/7*i - 4*i**4 - 264/7*i**2 = 0. Calculate i.
-2, -1, -2/7
Let p(s) be the second derivative of 2/5*s**5 - 1/3*s**3 + 0*s**2 - 1/2*s**4 - 8*s + 0. Find l such that p(l) = 0.
-1/4, 0, 1
Let q(b) be the first derivative of b**5/16 + 5*b**4/48 - 5*b**3/24 - 5*b**2/8 + 37*b + 44. Let z(c) be the first derivative of q(c). Factor z(i).
5*(i - 1)*(i + 1)**2/4
Suppose 0 = -3*v - 15, -2*w - 3*v + 5 = 32. Let n be (4/w)/(2/(-12)) + 0. Let -4/3 + 20/3*q + 40/3*q**3 - 40/3*q**2 - 20/3*q**n + 4/3*q**5 = 0. What is q?
1
Let k(t) be the third derivative of 0*t - 5*t**2 + 0 - 5/8*t**4 + t**3 - 1/40*t**6 + 1/5*t**5. Factor k(m).
-3*(m - 2)*(m - 1)**2
Let r = 116397103/40734 + 285/4526. Let w = r - 2854. Solve 50/9*u**5 + 8/9*u**2 + 0 + 10/9*u**4 + 0*u - w*u**3 = 0.
-1, 0, 2/5
Let f(c) be the third derivative of c**8/224 + 2*c**7/35 + c**6/4 + 2*c**5/5 + 16*c**2 + 4*c. Factor f(v).
3*v**2*(v + 2)**2*(v + 4)/2
Let y be (18/2 - 3) + 3. Suppose 6 = -6*u + y*u. Suppose n**4 + 4*n**2 - 16*n**4 - 4*n**u + 10*n**3 + 5*n**5 = 0. What is n?
0, 1, 2
Let l(c) = -c**3 + c**2. Let k be l(-1). Let f(r) = 0*r**k + 5*r**2 - 8*r - 10 + 3. Let o(g) = g**2 - g - 1. Let u(j) = -f(j) + 6*o(j). Factor u(m).
(m + 1)**2
Determine a so that -15/4*a**4 + 15/2*a + 0 - 111/4*a**2 + 24*a**3 = 0.
0, 2/5, 1, 5
Suppose 108/5 + 123/5*d**2 - 3*d**4 + 36/5*d**3 - 324/5*d = 0. What is d?
-3, 2/5, 2, 3
Find s, given that 392 - 201*s**3 - 2016*s + 1115*s**2 - 33*s**3 + 8*s**4 + 735*s**2 = 0.
1/4, 1, 14
Let v(o) be the first derivative of o**7/210 + o**6/30 + o**5/10 + o**4/6 + 11*o**3/3 - 13. Let z(g) be the third derivative of v(g). Factor z(k).
4*(k + 1)**3
Let y(q) be the second derivative of q**5/120 + 55*q**4/72 + 87*q**3/4 + 243*q**2/4 - 124*q. Let y(i) = 0. What is i?
-27, -1
Let j(g) be the second derivative of -g**7/7 + 101*g**6/60 - 53*g**5/20 - 89*g**4/24 - 7*g**3/6 + 6*g - 10. Let j(x) = 0. What is x?
-1/3, -1/4, 0, 2, 7
Let r(h) be the first derivative of -2*h**3/45 - h**2/5 + 4*h/3 - 78. Factor r(g).
-2*(g - 2)*(g + 5)/15
Let s be (0 + 5)*(-333)/(-5). Let v = s - 216. Factor 95*a + 9 - 21 + v*a**3 - 36*a**3 - 207*a**2 + a.
3*(a - 2)*(3*a - 1)*(9*a - 2)
Let f(j) = j**2 + 12*j - 11. Let k be f(-8). Let y = k - -43. Find v such that 0 + y*v + 6*v**4 - 6*v**3 - 3/2*v**5 + 0*v**2 = 0.
0, 2
Let t(x) = -36*x**2 + 220*x - 22. Let y be t(6). Factor 2/3*o**3 + 4/3 - 2*o + 0*o**y.
2*(o - 1)**2*(o + 2)/3
Let d(s) be the first derivative of -s**4/6 + 10*s**3/9 - 4*s**2/3 - 97. Determine n, given that d(n) = 0.
0, 1, 4
Let t(q) be the third derivative of -q**8/84 + 6*q**7/35 - 16*q**6/15 + 56*q**5/15 - 8*q**4 + 32*q**3/3 + 309*q**2. Factor t(n).
-4*(n - 2)**4*(n - 1)
Suppose -43*r + 40 = -33*r. Suppose -3*p + 4*f - 2 = -r, 0 = f - 1. Determine w, given that -w**p - 2/3*w + 0 - 1/3*w**3 = 0.
-2, -1, 0
Let s(y) be the second derivative of 0 + 3/2*y**2 + y + 0*y**4 - 1/240*y**5 + 1/24*y**3. Let h(n) be the first derivative of s(n). Let h(b) = 0. What is b?
-1, 1
Let u(t) = -3*t**3 + 20*t**2 + 41*t + 33. Let o(q) = -2*q**3 + 10*q**2 + 20*q + 17. Let m(h) = -5*o(h) + 3*u(h). Let m(v) = 0. Calculate v.
-7, -2, -1
Let h(m) be the second derivative of -m**5/300 - m**4/24 - 2*m**3/15 - 7*m**2 - 7*m. Let a(s) be the first derivative of h(s). Determine o, given that a(o) = 0.
-4, -1
Suppose 12 + 24 = 9*s. Suppose 7*h - 4 = -s. Determine i so that 2/3*i**4 + h*i + 4/3*i**3 + 2/3*i**2 + 0 = 0.
-1, 0
Let b(a) be the first derivative of 2/9*a + 9 - 2/9*a**2 + 2/27*a**3. Determine l, given that b(l) = 0.
1
Let l(b) = -13*b - 117. Let h be l(-9). Let z(w) be the second derivative of 1/4*w**4 + 0 - 3/10*w**5 + 0*w**3 + 4*w + 1/10*w**6 + h*w**2. Factor z(p).
3*p**2*(p - 1)**2
Let h(c) = -3*c**3 - 21*c**2 - 38*c - 10. Let g(i) = -i + 1. Let o = -86 - -91. Let b(j) = o*g(j) - h(j). Let b(r) = 0. Calculate r.
-5, -1
Let h(w) be the second derivative of 25/3*w**2 + 0 - 5*w + 1/18*w**4 - 10/9*w**3. Determine l so that h(l) = 0.
5
Factor -1936/7 + 88/7*u - 1/7*u**2.
-(u - 44)**2/7
Let p(m) = -m - 1. Let y be p(-3). Suppose -y*r - 22 = -3*h - 7*r, 5*h - r = 18. Find j such that 2*j**5 - 2*j**2 - 5*j**5 - j + 2*j**4 + h*j**3 + 0*j**5 = 0.
-1, -1/3, 0, 1
Let g = -17 + 11. Let m be ((-18)/(-12))/(g/(-8)). Determine o so that -o - 2*o + 2 - o + 2*o**m = 0.
1
Suppose 7*l = 2*l. Suppose 0*x - 3*x + 9 = l. Factor -6*k - 3*k - 2*k + 2*k - x*k**2 - 6.
-3*(k + 1)*(k + 2)
Let t(p) be the second derivative of -5/42*p**7 + 0*p**3 + 0*p**2 + 38*p + 0*p**4 + 2/3*p**6 + 0 - p**5. Find o such that t(o) = 0.
0, 2
Let q(o) be the third derivative of -6*o**5/5 + 11*o**4/6 + 14*o**3/3 - 407*o**2. Determine j, given that q(j) = 0.
-7/18, 1
Let f = 57/86 + -7/43. Let y(q) be the first derivative of -f*q**2 + 5 + 1/4*q**4 + 0*q**3 + 0*q. Determine b so that y(b) = 0.
-1, 0, 1
Suppose -4*n - 9 = -5*h + 4*h, 7 = -4*n - h. Let u be (6/5*1)/((-3)/n). Factor u*y**3 + 0 + 2*y**4 + 0*y**2 + 0*y.
2*y**3*(5*y + 2)/5
Let z(y) be the third derivative of -y**8/336 - y**7/70 + 7*y**6/120 + y**5/4 - 3*y**4/4 - 118*y**2. Factor z(h).
-h*(h - 2)*(h - 1)*(h + 3)**2
Let v(u) be the second derivative of u**4/42 + 4*u**3/3 - 29*u**2/7 + 3*u - 24. Factor v(l).
2*(l - 1)*(l + 29)/7
Let j(g) = -g**2 + 7*g - 6. Let q be j(5). Let z(f) be the first derivative of 1/8*f**2 + 0*f - 2 + 1/6*f**3 + 1/16*f**q. Suppose z(x) = 0. What is x?
-1, 0
Factor 3*o**2 - 23*o - 6*o - 5*o**4 + 5*o**3 - 17*o + 17*o**2 + 26*o.
-5*o*(o - 2)*(o - 1)*(o + 2)
Let z(k) = -384*k + 15*k**2 + 22*k**2 + 727 - 23 - 25*k**2. Let v(t) = 64 + 4*t**2 - 4*t**2 + t**2 - 35*t. Let u(r) = 32*v(r) - 3*z(r). Factor u(q).
-4*(q - 4)**2
Let y be (0/(-4))/4 - 1. Let f be (-3)/y*(0 + 1). Factor -3*k - 8*k - k**f + k**2 + 13*k.
-k*(k - 2)*(k + 1)
Let m(v) = v**4 + 12*v**3 + 45*v**2 + 84*v + 42. Let x(t) = 6*t**4 + 63*t**3 + 224*t**2 + 420*t + 209. Let f(i) = 22*m(i) - 4*x(i). Factor f(l).
-2*(l - 11)*(l + 1)*(l + 2)**2
Let v(d) be the second derivative of d**6/480 + d**5/30 + 7*d**4/32 + 3*d**3/4 - 17*d**2 + 30*d. Let n(w) be the first derivative of v(w). Factor n(o).
(o + 2)*(o + 3)**2/4
Let q = -1 - -3. Let w(r) be the first derivative of -3*r**q + 11*r**3 + 7*r**3 + 9*r**3 - 28*r**3 - 11. Solve w(v) = 0.
-2, 0
Let z = -17 - -17. Suppose z = 5*o - 2*o - 6. Factor 0 + 1/2*s + 1/2*s**o.
s*(s + 1)/2
Let k(l) = 2*l**3 + 6*l**2 + 7*l. Let o(c) = c. Let b be o(4). Let m(y) = -2*y**3 - 6*y**2 - 8*y. Let n(r) = b*k(r) + 3*m(r). Find v, given that n(v) = 0.
-2, -1, 0
Let w(j) be the first derivative of 2*j**3/39 - 31*j**2/13 - 132*j/13 + 360. Factor w(f).
2*(f - 33)*(f + 2)/13
Suppose -5*f - 2*t = -6, 2*t = 47*f - 45*f - 8. Solve 1898/7*a**3 + 1044/7*a**4 + 696/7*a**f + 72/7*a + 0 + 162/7*a**5 = 0 for a.
-3, -2/9, 0
Let x(b) be the first derivative of b**6/720 + b**5/240 - b**4/24 - 5*b**3 + 2. Let d(q) be the third derivative of x(q). Find n such that d(n) = 0.
-2, 1
Let k(l) = l**3 + 6*l**2 - 17*l - 99. Let z be k(-6). Solve -2/5*j**4 + 0*j + 2/5*j**2 + 0*j**z + 0 = 0.
-1, 0, 1
Let a be -62*(-4 - (-19)/2). Let p = -647/2 - a. Let -13*o - p*o**2 + 49/4*o**3 - 2 = 0. What is o?
-2/7, 2
Let y(u) = 11*u**3 + 29*u**2 - 35*u - 5. Let l(s) = 16*s**3 + 43*s**2 - 52*s - 7. Let k(n) = 5*l(n) - 7*y(n