actor y(d).
2*(d - 53)**3/7
Let h(j) be the second derivative of 3 + 3/20*j**5 + 9/2*j**3 - 3/2*j**4 + 6*j - 6*j**2. Factor h(v).
3*(v - 4)*(v - 1)**2
Let u(i) be the third derivative of -i**5/80 - 13*i**4/48 - 2*i**3 + 125*i**2 + 2. Let u(s) = 0. What is s?
-6, -8/3
Let w(u) be the second derivative of 0 + 18*u + 0*u**2 + 1/18*u**4 + 0*u**3. Factor w(r).
2*r**2/3
Let h(t) = -t**3 + t**2 + t - 2. Let g be h(-2). Suppose 15*m - g + 8 + 5*m**2 = 0. What is m?
-3, 0
Let d(b) = -b**3 - 11*b**2 - 4*b. Let u(n) = -12*n**3 - 111*n**2 - 42*n. Let q(r) = 21*d(r) - 2*u(r). Factor q(o).
3*o**2*(o - 3)
Let x(n) = n**3 + 5*n**2 + 5*n + 1. Let y be x(-3). Let -579 - l**4 + 20*l**2 - 3*l**y + 563 = 0. Calculate l.
-2, -1, 1, 2
Let k(m) be the second derivative of -m**6/24 + m**5/12 + 5*m**4/12 - 4*m**2 - 19*m. Let h(x) be the first derivative of k(x). Factor h(a).
-5*a*(a - 2)*(a + 1)
Let r = 52921669/211311 + -1/70437. Let b = -250 + r. Factor 0*v**2 + 0*v - 2/9*v**5 + b*v**3 - 2/9*v**4 + 0.
-2*v**3*(v - 1)*(v + 2)/9
Let s(z) be the second derivative of z**5/5 + 7*z**4/3 - 82*z**3/3 + 66*z**2 + 59*z - 2. What is b in s(b) = 0?
-11, 1, 3
Factor -4*v**2 + 12*v - 888 - 2*v**2 + 912 - 3*v**3.
-3*(v - 2)*(v + 2)**2
Let b = -18 - -20. Suppose -5*f + b*d + 9 = -18, -f - d = -4. Factor -9*a**2 - 5*a**4 + f*a**2 - 8*a**3 + a**4.
-4*a**2*(a + 1)**2
Let a = -14 + 19. Let b(f) be the third derivative of 0*f - f**3 - 7/20*f**a + 9/8*f**4 + 4*f**2 + 0. Let b(w) = 0. Calculate w.
2/7, 1
Let a(u) = -3*u**2 - u - 2. Let i(q) = 7*q**2 + q + 4. Let o = 17 - 9. Let z = o + -10. Let x(j) = z*i(j) - 5*a(j). Find g such that x(g) = 0.
-2, -1
Let d(v) = -3*v**3 - v**2 + 4*v. Let x be d(-2). What is u in -33*u**4 + x*u**4 - 2*u**3 + 8*u**3 - 6*u + 21*u**2 = 0?
-1, 0, 2/7, 1
Determine d so that 24*d + 103*d**5 - 54*d**5 - 18*d**3 + 15*d**4 - 12*d**2 - 52*d**5 = 0.
-1, 0, 2
Factor 0*a - 2/13*a**3 + 2/13*a**4 + 0 - 24/13*a**2.
2*a**2*(a - 4)*(a + 3)/13
Suppose -3*d = 2*d - 10. Let f be (9/12)/(d/8). Factor 4*p + 2*p + 4 - 2*p**f + 0*p**3.
-2*(p - 2)*(p + 1)**2
Let c(d) = -d**3 + d. Let q = -45 - -44. Let b(s) = 11*s**3 + 50*s**2 + 154*s + 160. Let l(a) = q*b(a) - 6*c(a). Factor l(h).
-5*(h + 2)*(h + 4)**2
Suppose -28*j + 152 = 40. Let f(g) be the third derivative of 0*g**3 + 3*g**2 + 0 - 1/180*g**5 + 0*g - 1/72*g**j. Factor f(n).
-n*(n + 1)/3
Let d(h) be the second derivative of -h**7/28 + h**6/20 + 6*h**5/5 + 5*h**4/2 + 532*h. Let d(o) = 0. What is o?
-2, 0, 5
Let v(p) = 590*p - 11795. Let o be v(20). Find s such that -1/2 + 1/6*s**o - 1/3*s**3 - 1/2*s**4 + s**2 + 1/6*s = 0.
-1, 1, 3
Factor -3360*q + 3*q**4 + 1918*q**2 + 87*q**3 - 486*q**2 + 5*q**3 + q**4 + 1764 + 68*q**3.
4*(q - 1)**2*(q + 21)**2
Let g be -12*((-170)/105 + (-4)/(-14)). Factor 61 + 5*k**4 + 192*k - g*k**2 + 227 - 3*k**4 - 16*k**3.
2*(k - 6)**2*(k + 2)**2
Let y(p) be the first derivative of 3/8*p**4 - 2*p**3 + 3*p**2 + 0*p + 4. Solve y(t) = 0 for t.
0, 2
Let z(p) be the second derivative of 0 - 8*p + 1/12*p**4 + 0*p**2 + 1/90*p**6 - 1/18*p**3 - 1/20*p**5. Let z(c) = 0. Calculate c.
0, 1
Let y(k) be the second derivative of -1/25*k**5 + 0*k**4 - 18*k - 1/75*k**6 + 2/15*k**3 + 0 + 1/5*k**2. Let y(i) = 0. Calculate i.
-1, 1
Determine w, given that -122*w**3 + 61671*w**2 + 2*w**4 + 3*w - 61795*w**2 - 3*w = 0.
-1, 0, 62
Let c(q) be the second derivative of 1/120*q**5 + 0*q**3 - 11*q - 1/24*q**4 + 7/2*q**2 + 0. Let v(y) be the first derivative of c(y). Factor v(z).
z*(z - 2)/2
Suppose 2*u - 26 = 3*f, -5*f - 13 = 15*u - 14*u. Suppose -g + 4*h + 1 = u, -5*h = -4*g - 2. What is z in 7/2*z + 9/2*z**g + 5/2*z**3 + 1/2*z**4 + 1 = 0?
-2, -1
Let k = -7 - -34. Factor -9 + 6*v**2 - 5 + k*v**3 + 8 - 27*v.
3*(v - 1)*(v + 1)*(9*v + 2)
Let o(n) be the third derivative of -n**8/6720 + n**7/280 - 3*n**6/80 - n**5/15 - n**2. Let k(z) be the third derivative of o(z). Factor k(w).
-3*(w - 3)**2
Let a(z) be the first derivative of z**4/2 + 116*z**3/3 - 119*z**2 + 120*z - 195. Factor a(j).
2*(j - 1)**2*(j + 60)
Let b(a) = -a**3 - 3*a**2 - 2*a + 2. Let l be b(-2). Let d be l/(-22)*-2 + (-24)/132. Solve -5/6*o**2 - 1/2*o + d - 1/6*o**3 + 1/6*o**4 = 0.
-1, 0, 3
Let c be 3*4*(-2 - (-66)/30). Suppose -7 = -t - 3. Find p such that 9/5*p**t - 6/5*p**2 + 12/5*p**3 - 3/5 - c*p = 0.
-1, -1/3, 1
Let a(u) = -10*u**3 + 212*u**2 - 406*u + 180. Let m(c) = -4*c**3 + 85*c**2 - 163*c + 72. Let n(h) = -5*a(h) + 12*m(h). Suppose n(q) = 0. What is q?
1, 18
Let c = -638 + 181832/285. Let n = c + 188/285. Let n*r**2 + 0 - 2*r = 0. Calculate r.
0, 3
Factor -24 + 7*r**5 - 98*r**3 - 12 + 74*r**3 - r**5 - 2*r**5 + 84*r - 40*r**2 + 12*r**4.
4*(r - 1)**3*(r + 3)**2
Let h(p) be the third derivative of 0*p**4 + 0*p**3 + 1/10*p**6 + 0*p + 2/105*p**7 + 0 + 2/15*p**5 + 23*p**2. Determine r so that h(r) = 0.
-2, -1, 0
Solve -328*q - 50*q**3 + 373*q + 55*q**3 - 30*q**2 = 0.
0, 3
Suppose 2 = r - 5*s, -123*r - 6 = -126*r - 3*s. Factor -2/5 - 1/5*l + 1/5*l**r.
(l - 2)*(l + 1)/5
Let z(f) be the first derivative of -f**6/16 + 447*f**5/40 - 8655*f**4/16 + 8213*f**3/4 - 48399*f**2/16 + 15987*f/8 + 174. Solve z(p) = 0 for p.
1, 73
Let b(i) be the first derivative of i**8/2520 + 2*i**7/315 + 2*i**6/45 + 8*i**5/45 + 4*i**4/9 + i**3 + 4. Let w(d) be the third derivative of b(d). Factor w(a).
2*(a + 2)**4/3
Let u(n) be the third derivative of n**8/8400 + n**7/4200 - n**6/900 - 2*n**3 - 9*n**2. Let k(g) be the first derivative of u(g). Let k(b) = 0. Calculate b.
-2, 0, 1
Suppose 6*c = 96 + 12. Suppose 0 = -7*v - 2*v + c. Factor 12*x**v - 5 + 4*x**3 - 1 - x - 3*x - 6.
4*(x - 1)*(x + 1)*(x + 3)
Suppose 3*r + 7*s = 2*s + 16, 5*s + 32 = r. Determine z so that -70*z**2 - 1 - r*z + 11 + 50*z**2 + 47*z = 0.
-1/4, 2
Suppose -1 = -4*c + 3. Let k be 4 + 1*(-2)/c. Factor -5*r**k + 3 + 0*r**2 + 2*r**2.
-3*(r - 1)*(r + 1)
Let r(s) be the third derivative of 9/448*s**8 - 3/32*s**4 + 0*s - 3/80*s**6 + 9/280*s**7 - 1/24*s**3 + 0 - 13/120*s**5 + 7*s**2. What is l in r(l) = 0?
-1, -1/3, 1
Factor 1/4*v**3 - 63/2 + 93/4*v - 5*v**2.
(v - 14)*(v - 3)**2/4
Let x(r) be the second derivative of -r**7/420 - r**6/240 + r**5/30 + r**4/12 - 23*r**2/2 + 7*r. Let t(g) be the first derivative of x(g). Factor t(o).
-o*(o - 2)*(o + 1)*(o + 2)/2
Let m be (-960)/72*(-18)/28. Let -m*n**2 - 500/7 - 4/7*n**3 - 300/7*n = 0. Calculate n.
-5
Find a, given that 58/3*a**3 + 208/3*a - 482/9*a**2 - 32 + 2/9*a**5 - 10/3*a**4 = 0.
1, 3, 4
Suppose -3 = 5*d - 43. Determine p so that -2*p**3 - 14*p + d*p**3 - 2*p**3 + 10*p**3 - 4 + 4*p**2 = 0.
-1, -2/7, 1
Let x = -7534 - -67808/9. Factor 0 - x*s + 2/9*s**2.
2*s*(s - 1)/9
Let d(u) be the third derivative of -u**8/1344 - u**7/126 - u**6/36 - 11*u**5/20 - 11*u**2. Let h(z) be the third derivative of d(z). Find b such that h(b) = 0.
-2, -2/3
Let x(y) be the third derivative of -y**8/42 - y**7/35 + y**6/15 + y**5/10 + 68*y**2 + 1. Find f such that x(f) = 0.
-1, -3/4, 0, 1
Let u(f) be the first derivative of f**9/1512 + f**8/280 + f**7/210 - 31*f**3/3 + 30. Let r(p) be the third derivative of u(p). Factor r(w).
2*w**3*(w + 1)*(w + 2)
Let c(m) be the first derivative of -m**3/3 + 157*m**2 - 24649*m - 455. Factor c(p).
-(p - 157)**2
Let s = 2251/2 + -1103. Let h = -22 + s. Find v, given that h*v + 1/2*v**4 + 1 - 1/2*v**3 - 3/2*v**2 = 0.
-1, 1, 2
Let q = 97 + -67. Let w be (-1)/(-2)*36/q. Let 0 + 3/5*b - w*b**2 = 0. What is b?
0, 1
Let z(y) be the second derivative of 5*y**4/3 - 128*y**3/3 - 26*y**2 - 10*y + 3. What is f in z(f) = 0?
-1/5, 13
Let j be ((-1)/30)/(-2*(-6)/(-30)). Let k(a) be the first derivative of j*a**4 - 5/6*a**2 - 2 + 2/3*a - 1/15*a**5 + 1/3*a**3. Factor k(w).
-(w - 1)**3*(w + 2)/3
Factor -18/5*z**2 - 1/5*z**3 + 18/5 + 1/5*z.
-(z - 1)*(z + 1)*(z + 18)/5
Factor -1095*c**2 + 3*c**4 - 1120*c**2 + 2230*c**2 + 42*c - 24*c**3.
3*c*(c - 7)*(c - 2)*(c + 1)
Suppose 37 = 2*g + 29. Let x(q) be the third derivative of -1/14*q**g + 0 + 2/7*q**3 + 0*q + 1/140*q**6 - 4*q**2 - 3/140*q**5 + 1/490*q**7. Factor x(h).
3*(h - 1)**2*(h + 2)**2/7
Let h = -724 - -727. Let b(n) be the second derivative of 3*n + 1/30*n**h + 0 - 1/60*n**4 + 0*n**2. Let b(t) = 0. What is t?
0, 1
Let b be (-123 + 120)*(-2)/3*1. Let -4/19*v + 2/19*v**b - 6/19 = 0. Calculate v.
-1, 3
Let q(r) = 57*r - 395. Let m be q(7). Let