erivative of l**6/540 + l**5/180 - 3*l**3/2 - 26*l**2. Let o(w) be the first derivative of c(w). Solve o(y) = 0 for y.
-1, 0
Let a(h) = -h**3 - 7*h**2 - 12*h - 7. Suppose 5*l + 25 = -0*l. Let c be a(l). Determine s so that 4/3*s**c - 2/3*s**4 + 0*s**2 - 4/3*s + 2/3 = 0.
-1, 1
Let y(x) be the first derivative of x**5/12 - 5*x**4/12 + 5*x**3/6 - 7*x**2 + 5. Let i(m) be the second derivative of y(m). Let i(o) = 0. What is o?
1
Let v = 81 + -78. Factor 4*d**2 + 8 + 4*d**2 + 5*d**v - 3*d**3 + 4*d**2 + 18*d.
2*(d + 1)**2*(d + 4)
Suppose -y = -5*o, -2*y + o = -7*y - 0*y. Factor 3/2*x**5 - 18*x**2 + 39/2*x**3 + y + 6*x - 9*x**4.
3*x*(x - 2)**2*(x - 1)**2/2
Let y be (-390)/(-91)*(-1 - 0)*-1*21. Suppose -3/2*f**3 - y*f - 108 - 21*f**2 = 0. Calculate f.
-6, -2
What is l in -2*l**3 - 29 - 4*l + 4*l**2 + 17 + 14*l = 0?
-2, 1, 3
Determine y so that 17 - 28*y - 67*y + 5*y**3 - 67 - 40*y**2 = 0.
-1, 10
Let u(j) = j**3 - 2*j**2 + 2. Let o be u(3). Suppose -2*f + o = 7. Factor 15*q**2 - 2 + f - 5*q**3 + 0.
-5*q**2*(q - 3)
Let h = -38 - -46. Suppose -5*q**5 + 4*q**4 + q**5 - 4*q + 8*q**3 - h*q**2 + 14 - 10 = 0. Calculate q.
-1, 1
Solve 21 + 3/4*y**3 - 18*y + 9/4*y**2 = 0.
-7, 2
Suppose -675*s**3 + 206*s**2 - 225*s**3 + 212*s**4 - 12*s**5 - 530*s**2 = 0. What is s?
-1/3, 0, 9
Factor 2*x**4 - 46*x + 34*x**4 + 12 - 26*x + x - 17*x + 208*x**2 - 168*x**3.
4*(x - 3)*(x - 1)*(3*x - 1)**2
Let d(a) be the third derivative of 1/60*a**4 - 1/600*a**5 + 0*a + 0 + a**2 + 0*a**3. Let d(m) = 0. What is m?
0, 4
Let t(a) be the third derivative of a**6/420 + 2*a**5/105 - a**4/7 + 10*a**2. Factor t(g).
2*g*(g - 2)*(g + 6)/7
Factor 16/7*t - 1/7*t**2 + 0.
-t*(t - 16)/7
Let k = 41/305 + 4/61. Suppose -6*i + 25 = -11*i, -5*t - 5*i - 15 = 0. Factor -k + 2/5*r - 1/5*r**t.
-(r - 1)**2/5
Let c(u) be the second derivative of -u**5/40 - 7*u**4/24 + 2*u**3/3 + 2*u + 21. Find x such that c(x) = 0.
-8, 0, 1
Let x(w) be the second derivative of 1/78*w**4 + 0*w**3 + 6*w - 9/13*w**2 - 3. Factor x(p).
2*(p - 3)*(p + 3)/13
Let q(u) be the third derivative of -u**9/20160 + u**8/2240 - u**7/840 - 3*u**5/20 - 9*u**2. Let r(a) be the third derivative of q(a). Factor r(k).
-3*k*(k - 2)*(k - 1)
Suppose 0 = 5*q + 5*u - 15, -3*u = 2*u + 5. Determine n so that 20*n - 4*n - 3 + 11 + q + 4*n**2 = 0.
-3, -1
Let b = 36 - 10. Let a be (-2 + b/10)/(2/10). Solve -18/7*n**2 - 3/7 + 9/7*n**5 + a*n**4 - 15/7*n + 6/7*n**3 = 0.
-1, -1/3, 1
Let i(u) = -10*u - 22. Let a be i(-5). Let k be 117/77 + (-12)/a. Factor k*o**2 + 2/11*o**3 + 16/11 + 24/11*o.
2*(o + 2)**3/11
Factor 63/2 - 3/2*k**2 + 30*k.
-3*(k - 21)*(k + 1)/2
Suppose 5*v + 170 = -0*s + 5*s, s - 2*v = 29. Suppose -6*z + 19*z - s = 0. Suppose 2/9*a**4 - 4/9*a - 2/9*a**5 + 0 + 2/3*a**z - 2/9*a**2 = 0. What is a?
-1, 0, 1, 2
Let y(z) be the third derivative of -z**8/1008 - z**7/70 + 13*z**6/60 - 43*z**5/45 + 5*z**4/3 - 144*z**2 + 2. Factor y(q).
-q*(q - 2)**3*(q + 15)/3
Suppose 38*b = -5*b + 9*b. Let h(r) be the second derivative of 0*r**3 - 4*r + 0*r**2 + b + 1/4*r**4 - 3/10*r**5 + 1/10*r**6. Factor h(v).
3*v**2*(v - 1)**2
Let t(m) be the first derivative of 43 - 3/2*m**2 + 3/4*m**4 - 2*m**3 + 6*m. Find w, given that t(w) = 0.
-1, 1, 2
Let j(i) be the third derivative of -i**5/8 - 77*i**4/48 - 5*i**3/6 - 228*i**2. Factor j(p).
-(p + 5)*(15*p + 2)/2
Let t(b) = b**2 + 6*b - 12. Let z be t(-8). Suppose f + 4*f = -h - 8, -4*f - 16 = -z*h. Factor -94 + 90 - 3*p + h*p**2 + 5*p.
2*(p - 1)*(p + 2)
Let m be 1/(4/6*15/40). Let t be (-36)/60*m*(-2)/6. Suppose 6/5 - t*p - 2/5*p**2 = 0. What is p?
-3, 1
Let x(q) = 7*q - 14. Let c be x(2). Let w(s) be the first derivative of c*s**3 + s - 1/5*s**5 + s**2 - 1/2*s**4 - 1. Factor w(h).
-(h - 1)*(h + 1)**3
Let q = -199 + 797/4. Let t(s) = -s**3 - 5*s**2 - 5*s - 4. Let h be t(-4). Determine n, given that h + q*n**3 - 1/2*n**2 + 1/4*n = 0.
0, 1
Factor 36*i + 2/5*i**2 + 810.
2*(i + 45)**2/5
Let a be (-16)/(-54)*(-96)/(-128) + (-88)/(-90). Suppose 8/5 + 1/5*t**3 + 12/5*t + a*t**2 = 0. Calculate t.
-2
Let f = 5989/5 - 1196. Factor -6/5 - f*b + 6/5*b**2.
3*(b - 2)*(2*b + 1)/5
Let t(x) be the second derivative of -9/20*x**5 + 2/5*x**6 - x**4 + 14*x + 0*x**2 - 1/14*x**7 + 0 + 2*x**3. Let t(s) = 0. Calculate s.
-1, 0, 1, 2
Let l = 61 + -57. Solve n**2 + 12*n**3 + 7*n**2 + 31*n**4 - 19*n**l - 8*n**4 = 0 for n.
-2, -1, 0
Let m(c) = c**3 + c**2 + c. Let q(a) be the second derivative of 3*a**5/10 + 5*a**4/12 + 2*a**3/3 - 15*a. Let h(j) = 20*m(j) - 4*q(j). Factor h(z).
-4*z*(z - 1)*(z + 1)
Let x be (8/18)/(11/66)*1/2. Solve 0*k**2 + x + 2*k - 2/3*k**3 = 0.
-1, 2
Factor 16/13*w**2 - 18/13*w + 0 + 2/13*w**3.
2*w*(w - 1)*(w + 9)/13
Let h(l) be the third derivative of l**4 + 7/6*l**3 + 0*l - 1/10*l**5 + 6*l**2 + 1/240*l**6 + 0. Let y(i) be the first derivative of h(i). Factor y(k).
3*(k - 4)**2/2
Let n(b) be the second derivative of 2*b**6/3 - 28*b**5/5 + 28*b**4/3 + 32*b**3/3 - 10*b - 1. Suppose n(c) = 0. Calculate c.
-2/5, 0, 2, 4
Find m such that 34/5*m**2 - 2*m**3 + 8/5 - 32/5*m = 0.
2/5, 1, 2
Let f(j) be the third derivative of j**6/60 + 4*j**5/5 + 7*j**4 - 784*j**3/3 + 17*j**2. Factor f(o).
2*(o - 4)*(o + 14)**2
Let g be (40/(-5) - -8)*1/(-2). Factor 40*d + 20 + g*d + 25*d**2 + 65*d**3 - 60*d**3.
5*(d + 1)*(d + 2)**2
Suppose -5*i = -15 - 0. Suppose i*x**5 - 1417 + 1417 - 3*x**3 = 0. What is x?
-1, 0, 1
Let p(u) be the third derivative of -5*u**8/336 + 2*u**7/21 + u**6/2 - 8*u**5/3 - 40*u**4/3 + 72*u**2. Solve p(a) = 0.
-2, 0, 4
Let a(b) be the third derivative of -b**7/525 - b**6/30 + 6*b**5/25 + 54*b**4/5 + 576*b**3/5 - 13*b**2 - 14*b. Suppose a(z) = 0. Calculate z.
-6, 8
Let z(d) be the second derivative of -d**7/21 + d**6/3 - 9*d**5/10 + 7*d**4/6 - 2*d**3/3 - 70*d. Solve z(f) = 0 for f.
0, 1, 2
Let v be 3/4*(-2)/(-6). Suppose -4*p = 3*m + 10, -21*p + 18*p = 5*m + 24. Determine u, given that -v*u**p - 1/2*u - 1/4 = 0.
-1
Let z be 6/(-14)*(-420)/1350. Find x such that 14/15*x + 2/5 + 2/3*x**2 + z*x**3 = 0.
-3, -1
Let s(h) be the second derivative of 0*h**2 + 0 + 0*h**3 + h**4 + h - 3/10*h**6 + 1/14*h**7 + 0*h**5. Solve s(u) = 0 for u.
-1, 0, 2
Let f(p) = p**3 - 18*p**2 + 11*p + 10. Let v be f(18). Suppose 2*j**3 - 1458 + 252*j**2 + 278*j + v*j - 306*j**2 = 0. Calculate j.
9
Let i = 7950 - 7950. Find o, given that 0*o + i*o**3 + 2/13*o**4 - 4/13*o**2 + 2/13 = 0.
-1, 1
Let p(u) be the third derivative of u**5/150 + u**4/60 - 2*u**3/15 + 3*u**2 + 12. Let p(i) = 0. What is i?
-2, 1
Let c(i) be the second derivative of -i**4/24 + 11*i**3/12 - 5*i**2/2 + 126*i - 3. Factor c(z).
-(z - 10)*(z - 1)/2
Let o be ((-16)/120)/(2/40*-2). What is a in 4/3 - o*a**2 - 14/3*a + 14/3*a**3 = 0?
-1, 2/7, 1
Factor 0*j + 17/6*j**4 + 0 - 2/3*j**5 - 10/3*j**3 + 2/3*j**2.
-j**2*(j - 2)**2*(4*j - 1)/6
Let u(p) = -18*p**3 + 6*p**2 + 2. Let g(k) = 27*k**3 - 9*k**2 + k - 3. Let l(b) = -5*g(b) - 8*u(b). Find v, given that l(v) = 0.
-1/3, 1
Factor -5/3*t - 2/3*t**2 + 2 + 1/3*t**3.
(t - 3)*(t - 1)*(t + 2)/3
Factor -156/7*o**2 - 6/7 + 470/7*o.
-2*(o - 3)*(78*o - 1)/7
Let y(s) be the first derivative of s**7/2520 - s**5/90 - 4*s**3/3 - 24. Let u(c) be the third derivative of y(c). Suppose u(g) = 0. Calculate g.
-2, 0, 2
Solve -548*k**5 + 7*k**3 + 6*k**2 + 543*k**5 - 2*k**3 - 6*k**2 = 0.
-1, 0, 1
Let n(z) be the third derivative of -z**6/420 - z**5/315 + 19*z**4/252 - 2*z**3/21 + 19*z**2 - 2. Let n(l) = 0. What is l?
-3, 1/3, 2
Let p(g) = -2*g + 14*g**2 - 12*g + 18 - 4*g**3 + 5*g**3. Let i be p(-15). Factor i*z + 9*z**3 - 2*z - 3*z**2 + 7*z**3 - 5*z**2.
z*(4*z - 1)**2
Let d(f) = f**3 + 2*f**2 - f. Suppose -6*x + 4 = -2*x. Let j be d(x). Factor 2/9*k**4 + 0 + 0*k**3 - 2/9*k**j + 0*k.
2*k**2*(k - 1)*(k + 1)/9
Let l = 59 - 53. Let x(m) = -6*m**4 + 15*m**3 - 8*m**2 - 60*m - 36. Let o(s) = -7*s**4 + 16*s**3 - 7*s**2 - 60*s - 36. Let p(q) = l*x(q) - 5*o(q). Factor p(t).
-(t - 6)**2*(t + 1)**2
Let i(o) be the third derivative of -o**8/4200 + 3*o**7/700 - 2*o**6/75 + 4*o**5/75 + 7*o**3/3 - 12*o**2. Let q(r) be the first derivative of i(r). Factor q(v).
-2*v*(v - 4)**2*(v - 1)/5
Let f(q) = -2*q**3 + 47*q**2 + 20*q + 98. Let o be f(24). Find c, given that 32/5*c + 4/5*c**o + 64/5 = 0.
-4
Suppose 2*a - 11 = 2*g - 3*g, -4*g = 5*a - 32. Let t(y) be the second derivative of 6*y + 0 + 1/12*