actor -n**v - 3*n**2 + 16*n + 7 - 7.
-4*n*(n - 4)
Factor 2/5*r**2 + 0 - 92/5*r.
2*r*(r - 46)/5
Let h(a) be the first derivative of -121*a**6/480 - 33*a**5/80 - 9*a**4/32 - 14*a**3/3 + 12. Let l(d) be the third derivative of h(d). What is j in l(j) = 0?
-3/11
Let d(g) be the third derivative of 0*g**3 - 2/105*g**7 + 1/12*g**5 - 1/24*g**4 - 1/20*g**6 + 1/42*g**8 + 0*g + 19*g**2 + 0. Factor d(p).
p*(p + 1)*(2*p - 1)**3
Let 8/5*l**4 + 12/5*l**2 + 0*l + 22/5*l**3 + 0 - 2/5*l**5 = 0. Calculate l.
-1, 0, 6
Let f(m) be the third derivative of m**8/1344 + m**7/210 + m**6/80 + m**5/60 + m**4/96 + 349*m**2. Factor f(b).
b*(b + 1)**4/4
Factor 20*a + a**2 + 53*a + 2*a - 4*a**2.
-3*a*(a - 25)
Suppose 52 = 8*l + 36. Let o be -4 + 30/18 - (l + -5). Let 6*f**2 + o*f**4 + 14/3*f + 4/3 + 10/3*f**3 = 0. Calculate f.
-2, -1
Find r such that 3/2*r**2 + 0*r - 3/2 = 0.
-1, 1
Factor -1/4 - 13/8*l - 11/8*l**2.
-(l + 1)*(11*l + 2)/8
Let q(w) be the first derivative of -3/5*w**2 - 4/5*w - 15 - 2/15*w**3. Determine z so that q(z) = 0.
-2, -1
Let o(r) be the first derivative of r**5/80 + 3*r**4/32 - 5*r**3/4 + 15*r**2 + 46. Let w(s) be the second derivative of o(s). Factor w(u).
3*(u - 2)*(u + 5)/4
Let w(q) = -q**2 - 21*q + 47. Let g be w(-23). Let o be 45/(-315) - (g + 36/(-7)). Determine l, given that 0*l**o + l**2 - 2*l**3 + 3/2*l + 1/2*l**5 - 1 = 0.
-2, -1, 1
Let i(y) be the second derivative of 9*y**5/20 + 7*y**4/2 - 59*y**3/24 + 5*y**2/8 - 47*y. Let i(b) = 0. What is b?
-5, 1/6
Let u(o) be the second derivative of -2*o**6/15 - 3*o**5/5 - o**4/3 + 2*o**3 + 4*o**2 + o + 13. Let u(j) = 0. What is j?
-2, -1, 1
Find p such that 0 + 0*p - 15*p**2 + 219/2*p**3 + 45/2*p**4 = 0.
-5, 0, 2/15
Suppose -3*k - 31 + 19 = 0. Let x = k - -6. Suppose 0*z + 0*z**4 + 0 + 1/5*z**5 - 1/5*z**3 + 0*z**x = 0. What is z?
-1, 0, 1
Let y(n) = -n**3 - 23*n**2 + 24*n + 3. Let b be y(-24). Let a be (-4*8/72)/((-2)/b). Let 2/3*g**2 + a*g**3 - 2/3*g - 2/3 = 0. Calculate g.
-1, 1
Let x = -136 - -73. Let d = 323/5 + x. Suppose -12/5*p - 2/5 - d*p**3 - 18/5*p**2 = 0. Calculate p.
-1, -1/4
Let m(f) = 5*f**3 - 24*f**2 + 36*f - 1. Let j(k) = -k**3 + 1. Let z = -23 - -24. Let s(n) = z*m(n) + j(n). Determine o so that s(o) = 0.
0, 3
Factor -12/7*k + 1/7*k**4 - 2/7*k**2 - 8/7 + 3/7*k**3.
(k - 2)*(k + 1)*(k + 2)**2/7
Factor -8*a**3 - 10*a - 214 + 110 - 17*a**2 + 104 - a**4.
-a*(a + 1)*(a + 2)*(a + 5)
Let g = 506 + -499. Let l(r) be the third derivative of 0*r - 1/336*r**8 - 2*r**2 - 1/6*r**4 + 0 - 1/15*r**5 + 0*r**3 + 1/105*r**g + 1/40*r**6. Factor l(b).
-b*(b - 2)**2*(b + 1)**2
Let f(z) be the second derivative of -z**6/480 + z**4/96 - 41*z**2/2 + 25*z. Let a(c) be the first derivative of f(c). Determine h so that a(h) = 0.
-1, 0, 1
Let h(q) be the third derivative of q**6/12 + 101*q**5/24 - 955*q**4/48 - 45*q**3/2 - 141*q**2. Factor h(i).
5*(i - 2)*(i + 27)*(4*i + 1)/2
Let u(m) be the first derivative of 0*m + 4/3*m**3 + 0*m**2 + 0*m**4 - 4 - 4/5*m**5. Factor u(d).
-4*d**2*(d - 1)*(d + 1)
Factor -o**3 + 28*o - 57*o + 28*o + 2*o**2.
-o*(o - 1)**2
Suppose 17*s - 13*s = 2*n + 22, -3*n - 15 = 0. Determine c, given that -9*c**2 - 15/4 + 3/2*c**s + 3/4*c**4 + 21/2*c = 0.
-5, 1
Suppose -2*s + 1 = 3*z, 0 = -3*s - z + 5. Let k(t) be the third derivative of 1/8*t**3 + 0*t**4 + 0 - 1/80*t**5 - 2*t**s + 0*t. Suppose k(b) = 0. What is b?
-1, 1
Suppose 23*a = -5*a - 4*a. Suppose 8*j - 5*j = 9. Factor 0*h**4 + a*h**j - 5*h**3 + 4*h**3 + h + h**4 - h**2.
h*(h - 1)**2*(h + 1)
Let o = 1447 - 1444. Let q(p) be the third derivative of 1/660*p**6 - 1/165*p**5 - p**2 + 0*p**o + 0 + 0*p + 1/132*p**4. Suppose q(z) = 0. Calculate z.
0, 1
Let z(r) = -r**4 - r**3 + r**2 + 2*r. Let t(g) = g**5 - 10*g**4 - 8*g**3 + 10*g**2 + 15*g. Let k(n) = 3*t(n) - 24*z(n). Factor k(j).
3*j*(j - 1)**3*(j + 1)
Let o(x) be the third derivative of x**8/252 - 2*x**7/315 - x**6/18 + x**5/9 + 2*x**4/9 - 8*x**3/9 - 193*x**2. Let o(h) = 0. Calculate h.
-2, -1, 1, 2
Let u(p) be the first derivative of 8*p**3/9 - 31*p**2 + 46*p/3 - 215. Factor u(c).
2*(c - 23)*(4*c - 1)/3
Let x be (-2)/(-6)*(0 - 3). Let q be -2*(-6)/(-4)*x/4. Find b such that 3/4 + 3/4*b**3 - q*b - 3/4*b**2 = 0.
-1, 1
Let y(a) be the second derivative of -2*a**7/147 + 2*a**6/35 + 9*a**5/35 + 5*a**4/21 - 38*a. Suppose y(l) = 0. Calculate l.
-1, 0, 5
Let z(i) = 4*i**2. Let l = 13 + -14. Let m be z(l). Factor 0*g**2 + 40*g + 6*g**2 - 140*g**3 - 98*g**m - 12 + 0*g**2 + 4.
-2*(g + 1)**2*(7*g - 2)**2
Let j be -2*(-1)/(-2) + 2. Find f, given that 17*f**2 - 9*f**2 - 9*f**2 + f + 1 + j = 0.
-1, 2
Let t(h) = h**3 + 19*h**2 - 72*h - 130. Let c be t(-22). Suppose 11/6*r + 7/6*r**3 - 1/3 - 8/3*r**c = 0. Calculate r.
2/7, 1
Let a(j) be the third derivative of j**6/180 + 32*j**5/45 + 256*j**4/9 + 50*j**2 + 1. Factor a(m).
2*m*(m + 32)**2/3
Let i be ((-1)/14)/(1*6/(-48)). Let j = i + 2/21. Factor -2/3 + 2/3*c + j*c**2 - 2/3*c**3.
-2*(c - 1)**2*(c + 1)/3
Let h(u) be the third derivative of -25*u**2 + 3/40*u**6 + 1/70*u**7 - 3/8*u**4 + 0*u + 2*u**3 + 0 - 1/4*u**5. Let h(z) = 0. What is z?
-4, -1, 1
Let y(h) = -h**2 - 2*h + 5. Let q be y(0). Find k such that -9*k**2 + 3*k**2 + 4*k**2 + q*k**2 + 6*k = 0.
-2, 0
Suppose 0 = 3*t - 2*u - 11, 8 - 2 = 3*u. What is l in -l**2 + 3*l**3 - 68*l**3 - 180*l - 204*l**2 - 95*l**2 - t*l**5 + 50*l**4 = 0?
-1, 0, 6
Determine s so that 4/9*s**2 - 20/9*s + 8/3 = 0.
2, 3
Let c(t) = t**5 + t**4 - 19*t**3 + 35*t**2 - 6*t + 4. Let j(m) = -m**3 + m**2 - 3*m - 1. Let p(b) = -c(b) - 4*j(b). Find h such that p(h) = 0.
-6, 0, 1, 3
Let j(c) be the third derivative of c**6/960 - c**4/192 + 48*c**2. Factor j(y).
y*(y - 1)*(y + 1)/8
Suppose 3*n + 6 = 6*n. Let 61*d**3 - 36*d**3 - 11*d**2 - 4*d**n = 0. What is d?
0, 3/5
Let x(m) be the second derivative of 5/12*m**4 + 3/4*m**5 + 0*m**3 + 0 + 0*m**2 + 24*m. Find n such that x(n) = 0.
-1/3, 0
Let v be (-210)/(-84)*(-1 + 33/15). Factor 3/4*s**v - 1/8*s**2 + 0*s + 0.
s**2*(6*s - 1)/8
Factor -3 - 3/2*f + 3/2*f**2.
3*(f - 2)*(f + 1)/2
Let i be -53*(-2)/(-40) + 1. Let q = -7/5 - i. Factor -1/2*g + 0*g**2 - 1/4*g**4 + 1/2*g**3 + q.
-(g - 1)**3*(g + 1)/4
Suppose 3*w - 46 = -46. Let z(a) be the third derivative of 0*a**3 + 0*a**4 - 1/40*a**5 + 1/140*a**7 + w*a + a**2 + 0*a**6 + 0. Factor z(h).
3*h**2*(h - 1)*(h + 1)/2
Let h = -149596/1503 - 1674/167. Let x = h + 110. Determine q, given that -2/9*q + 0*q**2 + 0 - 2/9*q**5 + 0*q**4 + x*q**3 = 0.
-1, 0, 1
Let w be (-3)/(-6)*(13 + (-1 - 0)). Factor -10 - 20*l**2 + 0*l**3 + 0*l**3 - w + 32*l + 4*l**3.
4*(l - 2)**2*(l - 1)
Let c(f) be the third derivative of -7*f**5/480 - 145*f**4/192 + 7*f**3/8 - 36*f**2. Factor c(o).
-(o + 21)*(7*o - 2)/8
Let a(w) be the first derivative of -2*w**7/105 - w**6/15 + 7*w**2/2 - 29. Let o(n) be the second derivative of a(n). Factor o(b).
-4*b**3*(b + 2)
Suppose -48*m = -55*m + 21. Factor -t + 0 - 1/2*t**4 - t**2 + 7/4*t**m.
-t*(t - 2)**2*(2*t + 1)/4
Let s(l) be the first derivative of -l**4/18 + 358*l**3/9 - 32041*l**2/3 + 11470678*l/9 + 410. Factor s(n).
-2*(n - 179)**3/9
Let q = 24615 + -147679/6. Determine p so that -1 + 5/6*p + q*p**2 = 0.
-1, 6/11
Let c(s) = s**4 + s**3 + s. Let i(v) = 9*v**4 + 5*v**3 - 3*v**2 + 6*v. Suppose -7*o + 16 = -3*o. Suppose -o*u + 9 = -11. Let k(p) = u*c(p) - i(p). Factor k(a).
-a*(a + 1)*(2*a - 1)**2
Suppose 240*k - 126*k**3 + 72*k**2 - 3*k**5 + 92*k**4 - 3*k**3 - 56*k**4 = 0. What is k?
-1, 0, 4, 5
Let t(i) = -8*i**2 - 7*i + 1. Let x(o) = o**2 + o. Suppose 3*c - 5*p = 0, p = -2*c + 3*p + 4. Let l(n) = c*t(n) + 35*x(n). Factor l(v).
-5*(v - 1)*(v + 1)
Let u(p) = 5*p**3 - 4*p + 2. Let v be u(1). Let j(x) be the third derivative of -1/20*x**5 + 0 + 11*x**2 - 2*x**v + 0*x + 1/2*x**4. Find h such that j(h) = 0.
2
Let 8*o**3 + 12*o + 3*o**4 - 4*o**2 + o**4 + 8*o - 28*o = 0. Calculate o.
-2, -1, 0, 1
Let a(c) be the first derivative of 0*c**2 + 3 - 4/15*c**3 + 0*c + 7/10*c**4. Determine n so that a(n) = 0.
0, 2/7
Suppose 10/7*a**3 + 0*a**2 - 2/7*a**4 + 0*a + 0 = 0. What is a?
0, 5
Suppose 18 = -2*c + 26. Find r such that -c*r**3 - 3*r**5 - 35 + 35 - r**5 - 8*r**4 = 0.
-1, 0
Let t(m) = m**3 + m**2 + 2*m + 5. Let u be t(-2). Let b be ((-2)/u)/((-44)/(-24)). Determine j so that 0 + b*j - 2/11*j**2 = 0.
0, 2
Let y(i) = i**2 + 7*i - 8. Let n(q) = -q + 1.