d) be the third derivative of v(d). Factor m(l).
-2*(l - 2)*(l + 1)*(l + 3)/21
Let m(a) = -3*a**2 + 20*a - 119. Let v(i) = 4*i**2 - 19*i + 118. Let x(c) = -3*m(c) - 2*v(c). What is z in x(z) = 0?
11
Let i(q) = -12*q**5 - 60*q**4 - 80*q**3 - 16*q**2 - 16*q - 16. Let a(y) = y**5 - y**4 + y**2 + y + 1. Let p(s) = 16*a(s) + i(s). Let p(m) = 0. Calculate m.
-1, 0, 20
Let m(u) be the first derivative of u**3 - 10*u**2 - 7*u - 72. Factor m(s).
(s - 7)*(3*s + 1)
Let t(p) be the second derivative of 3*p**5/20 - p**4/4 - 3*p**3 + 55*p. Suppose t(s) = 0. Calculate s.
-2, 0, 3
Let k = -170 + 170. Let n(m) be the third derivative of 1/1365*m**7 + 3/65*m**5 + 8/39*m**3 - 4*m**2 + 0 - 5/39*m**4 + k*m - 7/780*m**6. Factor n(r).
2*(r - 2)**3*(r - 1)/13
Let y(n) be the first derivative of n**4/30 - 4*n**3/15 - n**2 - 17*n - 2. Let q(z) be the first derivative of y(z). Suppose q(x) = 0. What is x?
-1, 5
Let f = 90 - 122. Let p be 7/(-21) - (f/6 + 3). Find l such that 0 + 0*l + 3/7*l**p + 3/7*l**4 - 6/7*l**3 = 0.
0, 1
Solve 19*x**3 + 25*x**2 + 18335*x - 6*x**3 - 319*x**2 - 235298 - 3929*x - 11*x**3 = 0.
49
Let n(l) be the third derivative of l**8/448 + l**7/56 + 56*l**2. Let n(r) = 0. What is r?
-5, 0
Solve 13/3*z - 1/3*z**3 + 22/3 - 10/3*z**2 = 0 for z.
-11, -1, 2
Let n(c) be the third derivative of 7*c**5/12 + 145*c**4/24 - 155*c**3/6 - 5*c**2. Let d(x) = 3*x**2 + 12*x - 13. Let u(m) = -25*d(m) + 2*n(m). Factor u(q).
-5*(q - 1)*(q + 3)
Let h(k) be the second derivative of -k**7/105 + k**5/50 - 2*k - 18. Factor h(f).
-2*f**3*(f - 1)*(f + 1)/5
Let d be 1 - (-16)/(-4)*(-9)/12. Let z(j) be the first derivative of 4*j**2 - 8/3*j - 7/6*j**d - 10 + 2*j**3. Factor z(k).
-2*(k - 2)*(k + 1)*(7*k - 2)/3
What is h in 1/4*h**4 - 1/4 + 1/2*h - 1/2*h**3 + 0*h**2 = 0?
-1, 1
Let i(f) = f**3 + 5*f**2 - f - 8. Suppose 0 = -a - 3*a - 16. Let t be i(a). Suppose t*m**2 - 4*m**3 + 3*m**4 - 2*m**3 + 5*m**2 - 14*m**2 = 0. What is m?
0, 1
Suppose -6*g = -5*g + 2*g, -2*l = 2*g. Let b(h) be the third derivative of 0 + 0*h + 1/6*h**4 - 2*h**2 + l*h**3 + 1/15*h**5. Factor b(i).
4*i*(i + 1)
Let r = 527 - 527. Let w(s) be the third derivative of 0*s**4 - 2/45*s**6 - 1/504*s**8 - 2/45*s**5 + 0 + 0*s - 1/63*s**7 + r*s**3 - 8*s**2. Factor w(u).
-2*u**2*(u + 1)*(u + 2)**2/3
Let j(k) be the third derivative of -k**5/360 + k**4/16 - 2*k**3/9 - 2*k**2 + 151. Solve j(w) = 0 for w.
1, 8
Let b(x) be the second derivative of -x**5/6 + 49*x**4/9 - 460*x**3/9 - 200*x**2/3 - 29*x. Factor b(k).
-2*(k - 10)**2*(5*k + 2)/3
Let m = -254356/9 - -28262. Factor 4/9*t - m*t**2 + 0.
-2*t*(t - 2)/9
Suppose 6 = -9*u + 12*u. Factor 8 + 20*o**4 + 16*o**4 - 56*o + 106*o**u - 73*o**3 - 3*o**3 - 18*o**4.
2*(o - 2)*(o - 1)**2*(9*o - 2)
Let j(x) = -4*x**3 - 20*x**2 - 2*x + 14. Let w(s) = s**2 - 1. Let b(a) = -a**2 + 1. Let n(y) = -6*b(y) - 5*w(y). Let i(u) = -2*j(u) - 28*n(u). Solve i(z) = 0.
-1, -1/2, 0
Let d(l) = -l**2 + 7*l**2 - l**2 + 50*l + 13 + 110. Let c(t) = -10*t**2 - 100*t - 245. Let n(g) = -2*c(g) - 5*d(g). Factor n(i).
-5*(i + 5)**2
Let d(s) = s + 8. Let q be d(-5). Let h be 9/132 - q/(132/(-8)). What is v in -1/4*v**2 - 1/4*v**3 + 0 + h*v**4 + 0*v + 1/4*v**5 = 0?
-1, 0, 1
Let j = 26/1813 - 247582/70707. Let g = j + 54/13. Factor -g*c**2 - 2/3*c + 0.
-2*c*(c + 1)/3
Let t(f) be the third derivative of 0*f - 2/21*f**3 + 0*f**4 + 1/105*f**5 + 0 + 13*f**2. Factor t(q).
4*(q - 1)*(q + 1)/7
Find r, given that 84 - 27*r**2 + 3/2*r**4 - 30*r + 15/2*r**3 = 0.
-7, -2, 2
Let x(o) be the first derivative of -o**8/336 + o**7/24 - o**6/4 + 5*o**5/6 - 5*o**4/3 + 8*o**3/3 + 6. Let w(k) be the third derivative of x(k). Factor w(v).
-5*(v - 2)**3*(v - 1)
Let v(r) = -r**3 + 8*r**2 - 2*r + 19. Let k be v(8). Factor -4*p**3 - 13*p**2 + 12*p**2 + 20 + 10*p**2 + k*p**3 - 24*p.
-(p - 5)*(p - 2)**2
Let b(h) = 7*h**4 + 15*h**3 + 11*h**2 - 3*h + 3. Let i(w) = -13*w**4 - 29*w**3 - 21*w**2 + 5*w - 5. Let d = -63 - -66. Let f(r) = d*i(r) + 5*b(r). Factor f(n).
-4*n**2*(n + 1)*(n + 2)
What is h in 0 - 5/3*h**2 + 2/3*h = 0?
0, 2/5
Suppose -3 - 1 = -p - v, -3*p + 4*v - 16 = 0. Suppose p = 5*d + 20, 14 = -i + 4*i - 2*d. Suppose -r - 3*r**2 - 2*r**4 + 3*r**4 + i*r**2 + r**3 = 0. Calculate r.
-1, 0, 1
Let t(f) be the third derivative of f**10/35280 + f**9/10584 + f**8/11760 + f**4/8 + f**2. Let u(x) be the second derivative of t(x). Solve u(v) = 0.
-1, -2/3, 0
Let p(t) = 5*t**4 + 30*t**3 - 5*t**2 - 15*t + 5. Let z(o) = -3*o**4 - 14*o**3 + 3*o**2 + 8*o - 2. Let c(f) = -2*p(f) - 5*z(f). Factor c(u).
5*u*(u - 1)*(u + 1)*(u + 2)
Let b = -21 + -88. Let m = b + 182. Factor -4*t**2 - m*t + 4*t**3 + 73*t.
4*t**2*(t - 1)
Let b(n) be the second derivative of 14*n**6/9 - 31*n**5/12 - 125*n**4/36 + 155*n**3/18 - 5*n**2/2 - 328*n - 2. Let b(t) = 0. Calculate t.
-1, 3/28, 1
Let k(d) be the first derivative of d**8/84 + 2*d**7/105 - d**6/30 - d**5/15 + 4*d**2 - 17. Let h(f) be the second derivative of k(f). Factor h(s).
4*s**2*(s - 1)*(s + 1)**2
Let j(p) be the third derivative of -p**7/210 + p**6/40 + p**5/60 - p**4/8 - 136*p**2. Factor j(a).
-a*(a - 3)*(a - 1)*(a + 1)
Suppose 2*a + 9 = 3*z, -5*a - z + 1 = -2. Let r(s) be the third derivative of a*s**4 + 0*s**5 - 1/735*s**7 + 0*s**3 + 1/210*s**6 + s**2 + 0 + 0*s. Factor r(t).
-2*t**3*(t - 2)/7
Let i = 15 + -10. Suppose -6 = 2*h, 8*l + i*h + 5 = 3*l. Factor 5*b**3 - b**3 - 2*b**3 + l*b - 4*b**2.
2*b*(b - 1)**2
Let z be 1/(-3)*(112 + 2)/(-19). Let r(f) be the first derivative of -5/12*f**3 - 5/16*f**4 - 9 + 0*f + 5/4*f**z. Factor r(v).
-5*v*(v - 1)*(v + 2)/4
Let h = 3679/7 - 522. Let 0 - 4/7*f - h*f**5 - 69/7*f**3 - 4*f**2 - 10*f**4 = 0. What is f?
-1, -2/5, 0
Solve 1/2*p**2 + 13/2*p + 18 = 0 for p.
-9, -4
Suppose -2*r + q = 2*q + 7, 2*q = 4*r + 2. Let b be r/(-3) + 12/9. Factor -a**3 + 3*a**3 - a + b*a**5 - 3*a**5.
-a*(a - 1)**2*(a + 1)**2
Let m = -10651/3 + 3572. Determine b so that -10/3 + m*b - 55/3*b**2 = 0.
2/11, 1
Let m = -11 - -13. Let d be 2/8*(14 - m). Let -y + 6*y**3 - d*y**4 - 5*y + 6*y**2 - 3*y**2 = 0. Calculate y.
-1, 0, 1, 2
Let v(w) be the second derivative of w**4/20 + w**3/5 + 3*w**2/10 + 501*w. Factor v(j).
3*(j + 1)**2/5
Let n(t) be the third derivative of -t**7/42 + t**6/24 + t**5/12 - 5*t**4/24 - 13*t**2. Factor n(f).
-5*f*(f - 1)**2*(f + 1)
Determine y so that -15*y + 30*y**3 + 45 - 15*y - 31*y**2 - 5*y**4 + 3*y**2 - 12*y**2 = 0.
-1, 1, 3
Let h(k) be the second derivative of -k**5/30 + k**4/4 - 2*k**3/9 + 16*k + 5. Solve h(p) = 0 for p.
0, 1/2, 4
Find l, given that -44/7 - 79/7*l**2 - 4/7*l**3 + 28*l = 0.
-22, 1/4, 2
Let k be 3718/121 + -30 + 4/(-66). Factor -10*a - 28/3 - k*a**2.
-2*(a + 1)*(a + 14)/3
Suppose -16 = -5*u - 1. Let l = 104252/63723 - -2/5793. Find o, given that 4/11*o + 10/11*o**2 + 14/11*o**5 - 10/11*o**4 - l*o**u + 0 = 0.
-1, -2/7, 0, 1
Let n = 81 - 81. Let k(u) be the third derivative of 1/12*u**4 + 0 + n*u**3 + 5*u**2 + 1/210*u**7 + 0*u**6 - 1/20*u**5 + 0*u. What is i in k(i) = 0?
-2, 0, 1
Suppose g - 66 = -t, 3*t - 4*g = -0*g + 184. Let h = t - 574/9. Factor 0 + h*b**2 + 0*b + 1/9*b**3.
b**2*(b + 2)/9
Let j(l) be the third derivative of -l**9/241920 + l**8/40320 + l**7/5040 - l**6/360 - 13*l**5/20 - l**2. Let u(o) be the third derivative of j(o). Factor u(a).
-(a - 2)**2*(a + 2)/4
Let k(t) = 10*t**2 + 111*t - 445. Let j(l) = -2*l**2 - 22*l + 88. Let x(c) = 11*j(c) + 2*k(c). Determine h, given that x(h) = 0.
-13, 3
Let h(t) be the second derivative of 1/32*t**4 - 1/16*t**3 + 18*t - 3/8*t**2 + 0. Let h(r) = 0. What is r?
-1, 2
Suppose -20 = -5*j, 89*m - 87*m + 3*j - 16 = 0. Let g(r) be the third derivative of 0*r**3 + 1/4*r**4 + 1/40*r**6 + m*r**2 + 0 - 3/20*r**5 + 0*r. Factor g(w).
3*w*(w - 2)*(w - 1)
Let b be 1*(0 + -1) - 160/(-112). Find a, given that -b*a**3 + 0*a + 0 - 3/7*a**5 + 0*a**2 + 6/7*a**4 = 0.
0, 1
Let i(r) be the third derivative of -r**5/240 + 7*r**4/96 - r**3/2 - 2*r**2 + 12*r. Find f, given that i(f) = 0.
3, 4
Factor -118/9*h**2 - 1/9*h**4 - 23/9*h**3 + 32 + 64/3*h.
-(h - 2)*(h + 1)*(h + 12)**2/9
Let z = 57 + -40. Suppose -13 + z = u. Suppose 0 + 2/5*b**2 - 2/5*b**u + 0*b**3 + 0*b = 0. Calculate b.
-1, 0, 1
Let a = -31/11 + 2219/440. Let j = 21/8 - a. Let 0 - j*u - 2/5*u**2 = 0. What is u?
-1, 0
Let g(b) = 6*b**3 - 4*b**2 - 15*b + 6. Let h(k) = k**3 