ve of -2*m**3/39 + 106. Factor f(k).
-2*k**2/13
Let p(v) be the second derivative of -v**4/90 + 2*v**3/45 + 98*v - 2. Find s such that p(s) = 0.
0, 2
Let s(h) = 3*h**2 - 3*h + 4. Let m be s(2). Suppose -m = -5*u + 10. Factor 1/5*y**u + 16/5 + 24/5*y**2 + 32/5*y + 8/5*y**3.
(y + 2)**4/5
Factor 6*q**2 - 1/2*q**5 - 2*q + 3*q**4 - 13/2*q**3 + 0.
-q*(q - 2)**2*(q - 1)**2/2
Suppose 4*o - 2*o = 8. Factor -9*b + 21*b - 1 + 1 - o*b**2.
-4*b*(b - 3)
Let v = 44 + -46. Let z be (-2)/(-10)*(v/(-1) - 1). Factor 27/5*l + 27/5 + 9/5*l**2 + z*l**3.
(l + 3)**3/5
Let l(d) be the first derivative of -8*d**6/3 + 256*d**5/15 - 11*d**4/3 - 20*d**3 - 2*d**2/3 + 20*d/3 - 64. Suppose l(y) = 0. Calculate y.
-1/2, 1/3, 1, 5
Let j(n) be the third derivative of -n**5/300 - n**4/30 - n**3/10 + 228*n**2. Factor j(s).
-(s + 1)*(s + 3)/5
Suppose -5*i - 7 + 17 = 0. Let y(l) = -l + 2. Let n be y(i). Find v, given that n*v + 0 + 2/5*v**4 + 0*v**2 + 4/5*v**3 = 0.
-2, 0
Let q be 144/(-54)*6/(-4). Solve -2*k**2 + 5*k**5 - 22*k**3 + 4*k**q + 37*k**3 - 3*k**2 - 19*k**4 = 0.
0, 1
Suppose 3*i - 3*t - 27 = 0, -2*i - 2*t + 0 = 2. Let y(o) be the second derivative of -1/42*o**i + 0 - 4*o + 0*o**3 + 1/7*o**2. Solve y(a) = 0.
-1, 1
Let l(a) = 5*a**2 + 10*a + 8. Let s(m) = -4*m**2 - 9*m - 6. Let o(y) = 3*l(y) + 4*s(y). Find t, given that o(t) = 0.
-6, 0
Factor 2/13 + 6/13*d**2 - 6/13*d - 2/13*d**3.
-2*(d - 1)**3/13
Suppose 40*k - 44*k + 16 = 0. Suppose q - k*q = 0. Determine n, given that -2/11*n**3 + 4/11*n**2 + q - 2/11*n = 0.
0, 1
Let t(x) be the third derivative of -9*x**2 + 1/600*x**6 - 1/100*x**5 - 1/6*x**3 - 3/40*x**4 + 0*x + 0. Factor t(s).
(s - 5)*(s + 1)**2/5
Find a such that -2/5*a**4 + 0*a + 0*a**2 + 2*a**3 + 0 = 0.
0, 5
Suppose 3*p - 4*v - 204 = 166, -5*p = -4*v - 614. Let g = p + -608/5. Factor 0 - 4/5*u**2 + 2/5*u + g*u**3.
2*u*(u - 1)**2/5
Let g(n) be the third derivative of -n**5/12 + 5*n**4 - 120*n**3 + n**2 + 20*n. Factor g(o).
-5*(o - 12)**2
Let n(u) be the third derivative of -u**5/60 - 3*u**4/2 - 54*u**3 + 73*u**2. Suppose n(g) = 0. What is g?
-18
Factor -195/7 - 3/7*v**2 - 54/7*v.
-3*(v + 5)*(v + 13)/7
Let c(u) be the first derivative of 3*u**5/4 + 261*u**4/16 + 349*u**3/4 - 837*u**2/8 - 243*u/2 + 377. Determine d, given that c(d) = 0.
-9, -2/5, 1
Let w be (-5)/((-405)/(-6))*15/5*-2. Suppose -8/9*a**2 - w - 10/9*a - 2/9*a**3 = 0. Calculate a.
-2, -1
Let q(k) be the first derivative of -3*k**3 - 213*k**2/4 + 18*k + 54. Factor q(g).
-3*(g + 12)*(6*g - 1)/2
Let f(g) = -3*g**2 - 16*g - 25. Let t(n) = 3*n**2 + 15*n + 25. Let v(l) = -3*f(l) - 4*t(l). Let k(x) = -x**2 - x. Let o(q) = -2*k(q) + v(q). Factor o(i).
-(i + 5)**2
Factor 0*h**2 + 14/15*h**3 + 0*h + 0 - 2/15*h**4.
-2*h**3*(h - 7)/15
Factor -15 + 2*j**4 - 6*j**2 + 3*j**2 + 17 - j**2.
2*(j - 1)**2*(j + 1)**2
Let i(p) be the second derivative of p**5/35 + 20*p**4/21 + 74*p**3/21 + 36*p**2/7 + 5*p + 8. Factor i(y).
4*(y + 1)**2*(y + 18)/7
Suppose -w = 4 - 12. Let l(o) = -2*o**2 + 17*o - 6. Let j be l(w). Find k such that -4*k**2 + 0*k - k**j + 3*k**2 + k = 0.
0, 1/2
Let s(g) = g**3 + 7*g**2 + 19*g + 47. Let h be s(-5). Factor -1/5*j**h - 2 - 7/5*j.
-(j + 2)*(j + 5)/5
Let i(t) be the first derivative of 4*t**5/5 + 3*t**4 - 44*t**3 + 106*t**2 - 96*t + 253. Determine l, given that i(l) = 0.
-8, 1, 3
Let q be 43/172 - 4/16. Factor p - 5/2*p**2 + 3/2*p**3 + q.
p*(p - 1)*(3*p - 2)/2
Find w, given that -57*w - 24/5*w**2 + 48/5*w**3 - 45 = 0.
-5/4, 3
Let b = -3/4700 + 221299/625100. Let m = b + 15/19. Find s such that 4/7*s + m*s**2 + 0*s**3 - 8/7*s**4 - 4/7*s**5 + 0 = 0.
-1, 0, 1
Suppose -51 = -3*u - 5*f - 4, 0 = -3*f + 12. Let j be (-4)/(12/u) - -6. Factor 40*m - 2*m**j - 2*m**3 - 36*m.
-4*m*(m - 1)*(m + 1)
Let u(a) be the third derivative of a**8/224 - a**7/10 + 51*a**6/80 - 5*a**5/4 - 11*a**4/4 + 18*a**3 + 147*a**2. Factor u(d).
3*(d - 9)*(d - 2)**3*(d + 1)/2
Let j = 46 + -42. Factor -15*p - j - 7/2*p**2.
-(p + 4)*(7*p + 2)/2
Let t = 110 - 41. Let y = 69 - t. What is g in 0*g**2 + 0*g + y + 2/11*g**3 = 0?
0
Factor -9/4*c - 3/4*c**4 - 1/2*c**2 + 5/4 + 5/2*c**3 - 1/4*c**5.
-(c - 1)**3*(c + 1)*(c + 5)/4
Let h(o) be the third derivative of -o**7/840 + o**5/10 + o**4/8 - 28*o**2. Let n(q) be the second derivative of h(q). Factor n(l).
-3*(l - 2)*(l + 2)
Let v(x) = x**3 + 1. Let d(z) = -8*z**3 + 48*z**2 + 4*z - 52. Let f(b) = d(b) + 4*v(b). Factor f(w).
-4*(w - 12)*(w - 1)*(w + 1)
Let i(v) be the third derivative of 1/300*v**6 - 1/30*v**3 + 0*v + 0 + 1/1050*v**7 + 10*v**2 - 1/60*v**4 + 0*v**5. Solve i(l) = 0.
-1, 1
Let u = -1545 + 1549. Factor 0*s + 0 - 6/5*s**3 - 3/5*s**2 - 3/5*s**u.
-3*s**2*(s + 1)**2/5
Factor -5*h**2 + 3*h**5 - 19*h**2 - 18*h**4 - 7*h**2 + 36*h**3 + 7*h**2.
3*h**2*(h - 2)**3
Suppose -5*m + 18 = -2*m. Suppose -4*d - 5*v + 12 = 0, 0 = -2*d + 3*v - v + m. Factor 2/7*k**4 + 0*k - 4/7*k**2 + 2/7 + 0*k**d.
2*(k - 1)**2*(k + 1)**2/7
Suppose -352 = 6*r - 94*r. Solve -8/3 + 4*v**3 + 4/3*v**4 + 4/3*v**2 - r*v = 0 for v.
-2, -1, 1
Let u = 47 + -227. Let y be ((-196)/u + -1)*10/4. Factor 0 - 4/9*r**2 + 4/9*r**4 - 2/9*r**5 + y*r + 0*r**3.
-2*r*(r - 1)**3*(r + 1)/9
Let t(r) be the first derivative of 6*r**2 + 3*r**4 + 6*r**3 + 3/5*r**5 + 3*r - 8. Factor t(p).
3*(p + 1)**4
Let t(b) = -b**3 - b**2 - b - 1. Let m be t(-4). Find y, given that -11 + 1 - y**2 + m*y - 8 - 14*y**2 = 0.
2/5, 3
Suppose 4*h - 52 = -4*n, -4*n + 27 = -5*h - 52. Suppose z + n = 3*z. Determine d so that 9 + d**2 + 0 + 2*d - z = 0.
-1
Let l(c) = -c**3 - 5*c**2 + 7*c + 8. Suppose 4*u + f - 3*f = -14, 25 = -5*f. Let q be l(u). Factor -2*y - 2*y**2 + 2*y**3 + y**3 + q*y**4 - y**3 + 0*y**2.
2*y*(y - 1)*(y + 1)**2
Let x(z) be the second derivative of z**7/1960 - 2*z**3/3 - 8*z. Let k(p) be the second derivative of x(p). Factor k(b).
3*b**3/7
Let l(c) be the first derivative of 12*c**5/25 + 21*c**4/20 - 6*c**3/5 - 21*c**2/10 + 6*c/5 + 54. Find m, given that l(m) = 0.
-2, -1, 1/4, 1
Let f = -179 - -179. Let j(c) be the first derivative of f*c**2 - 1/2*c**3 + 0*c + 4. Solve j(m) = 0.
0
Let p be (-3*(-1)/(-8))/((-4)/488). Let h = p + -45. Suppose -12 - h*g**2 + 6*g = 0. Calculate g.
4
Factor -7*z + 24*z**2 + 4 - 6*z**2 - 2 - 7*z**2 - 6*z**2.
(z - 1)*(5*z - 2)
Let a(c) = c**3 - c - 1. Let u(v) = -116 - 2*v**3 - 15*v**2 + 78*v + 0*v**3 - 32 + 26. Let w(r) = 3*a(r) + u(r). Find n such that w(n) = 0.
5
Let i(y) be the first derivative of y**6/140 + 3*y**5/140 + y**4/56 - 8*y**2 + 7. Let h(g) be the second derivative of i(g). Factor h(c).
3*c*(c + 1)*(2*c + 1)/7
Suppose 2*w - 4*w = -2. Let y be w - -6*(-2)/30. Factor 0 + 0*j - y*j**3 - 6/5*j**2.
-3*j**2*(j + 2)/5
Let a be -4 + (-1365)/(-308) - (-6)/(-33). Let x(w) be the second derivative of 5*w + 0*w**2 - 3/2*w**3 + 0 - a*w**4. What is f in x(f) = 0?
-3, 0
Let j(y) be the first derivative of y**5 + 75*y**4/2 + 785*y**3/3 - 2550*y**2 + 5780*y + 51. Let j(n) = 0. What is n?
-17, 2
Factor -10*r**3 - r**3 - 240 - 9*r**2 + 7*r**3 - 63*r**2 + r**3 - 252*r.
-3*(r + 2)**2*(r + 20)
Let k(d) be the third derivative of -d**5/60 + 7*d**4/3 + 19*d**3/2 + 275*d**2. Factor k(f).
-(f - 57)*(f + 1)
Let k(a) = -19*a**3 - 76*a**2 - 495*a + 1350. Let m(d) = -12*d**3 - 51*d**2 - 330*d + 900. Let q(x) = 5*k(x) - 8*m(x). Factor q(y).
(y - 2)*(y + 15)**2
Suppose 19*l - 10*l + 5*l**2 + 13*l + 8 = 0. Calculate l.
-4, -2/5
Let x(p) be the second derivative of 0 + 5/4*p**4 - 35/6*p**3 + 5*p**2 - 48*p. Factor x(t).
5*(t - 2)*(3*t - 1)
Let n = -410 + 415. Let y(q) be the second derivative of 1/5*q**2 + 7/100*q**n - 1/50*q**6 + 0 - 1/20*q**4 + 2*q - 1/10*q**3. Suppose y(b) = 0. What is b?
-2/3, 1
Suppose 0 = 5*j - 5*x - 45, -5*j + 5 = 3*x - 0*x. Determine o so that -8*o**5 - 74*o**3 + 9 + 94*o**2 - 61*o + 10*o + 25*o**j + 8*o**5 - 3*o**5 = 0.
1/3, 1, 3
Suppose 75*o = -137*o - 9*o + 442. Factor 2/3 + l**o - 5/3*l - 1/3*l**4 + 1/3*l**3.
-(l - 1)**3*(l + 2)/3
Let d(y) be the first derivative of -9/4*y**4 - y**3 + 9/2*y**2 + 6*y - 1 - 3/5*y**5. Find k such that d(k) = 0.
-2, -1, 1
Let a(t) be the third derivative of -11/60*t**4 + 1/15*t**5 + 0 + 19*t**2 + 0*t - 2/5*t**3 + 7/300*t**6. Let a(i) = 0. Calculate i.
-2, -3/7, 1
Let q(t) be the third derivative of -147*t**5/10 + 7*t**4 - 4*t**3/3 - 60*t**2. Find r, given that q(r) = 0.
2/21
Suppose -1 = 2*k