- 320*i + 5123. Let w(t) = 40*t**2 - 2560*t + 40985. Let c(x) = -25*r(x) + 3*w(x). Factor c(f).
-5*(f - 32)**2
Suppose 2/7*k**3 - 2*k**2 + 12/7 + 2/7*k**4 - 2/7*k = 0. What is k?
-3, -1, 1, 2
Let c(q) be the second derivative of -1/18*q**3 - 1/108*q**4 + 25*q + 0*q**2 + 0. Factor c(g).
-g*(g + 3)/9
Let n = 28554/31 - 921. Let t = n - -109/155. Factor t*l**3 + 8/5 + 16/5*l**2 + 4*l.
4*(l + 1)**2*(l + 2)/5
Factor -19 - 20*p**2 - 52*p - 9 + 86*p**3 - 82*p**3.
4*(p - 7)*(p + 1)**2
Factor -157*a + 76*a + 2*a**2 + 6*a**3 + 75*a - 2*a**4.
-2*a*(a - 3)*(a - 1)*(a + 1)
Let p(t) be the second derivative of 5/3*t**3 + 0 - 25/2*t**2 - 1/12*t**4 + 27*t. Factor p(f).
-(f - 5)**2
Let r(w) = -w**3 + 23*w**2 + 24*w. Let l be r(24). Suppose -2*n = 5*q - 18, 4*n = -l*n + 16. Factor 0*h + 0 - 3/4*h**q.
-3*h**2/4
Suppose 1849/6 + 1/6*a**2 + 43/3*a = 0. Calculate a.
-43
Let x = -6 - -38. Determine s, given that x*s - 2*s**2 - 9 - 8 - 93 - 18 = 0.
8
Suppose 2*f + 5*j = 8, 0 = 3*f - 0*f - 6*j - 12. Factor 1/8*r**5 - 1/8*r**3 + 0*r**f + 0*r + 0 + 0*r**2.
r**3*(r - 1)*(r + 1)/8
Let j(c) be the first derivative of 0*c + 5/12*c**4 - 5/9*c**3 - 5/3*c**2 + 25. Let j(w) = 0. What is w?
-1, 0, 2
Suppose -86*z + 248 = -24*z. Find c such that -64/9*c + 52/9*c**2 + 16/9 - 68/9*c**z + 20/9*c**5 + 44/9*c**3 = 0.
-1, 2/5, 1, 2
Suppose 0*x + 0 - 3/2*x**2 + 1/2*x**3 = 0. Calculate x.
0, 3
Let n(b) = 3 + 4*b**2 + 85*b - 79*b + 6. Let q = 9 + -6. Let r(w) = -5*w**2 - 6*w - 9. Let a(c) = q*r(c) + 4*n(c). Factor a(o).
(o + 3)**2
Let n be ((-5)/(-10))/(1/26). Suppose 0 = -5*s - 2*o + 65, 5*o + n = -3*s + 4*s. Factor s*x**5 - 3*x**3 - 7*x**5 - 3*x**5.
3*x**3*(x - 1)*(x + 1)
Let g = -5745 + 51563/9. Let h = g + 16. Factor -h*n**2 + 2/9*n + 0.
-2*n*(n - 1)/9
Solve -5*u**5 - 3*u**3 + 2*u**3 + 131*u + 53*u - 360 - 24*u**3 + 26*u - 35*u**4 + 215*u**2 = 0.
-4, -3, 1, 2
Let j be (-28)/(-5) - ((-1030)/(-50) + -19). Factor 5/2*r**j - 10*r + 0 + 15/2*r**3 + 0*r**2.
5*r*(r - 1)*(r + 2)**2/2
Let c(z) be the second derivative of -z**7/14 - 6*z**6/5 - 33*z**5/20 - 162*z. Factor c(k).
-3*k**3*(k + 1)*(k + 11)
Let s be (-18062)/6820 + 1/(2/4). Let r = -3/62 - s. Factor 0 + 3/5*k + r*k**5 + 0*k**2 - 6/5*k**3 + 0*k**4.
3*k*(k - 1)**2*(k + 1)**2/5
Let k = 13 - 11. Suppose -3*w = w - 12. Determine s so that -23*s - 49*s**w + 45*s**3 + 7*s + 16*s**k = 0.
0, 2
Let o(f) be the second derivative of f**4/36 - f**3/9 - 35*f**2/6 - 163*f. Factor o(t).
(t - 7)*(t + 5)/3
Let t = 32467 + -32465. Determine d so that 0 + 4*d - 26/3*d**t + 16/3*d**3 - 2/3*d**4 = 0.
0, 1, 6
Let f = 1956/7091 + 10/1013. Factor 0 - f*i**2 + 6/7*i.
-2*i*(i - 3)/7
Let u(d) be the third derivative of d**8/7560 + d**7/1260 + d**6/810 + 5*d**3/6 - 3*d**2. Let h(z) be the first derivative of u(z). Factor h(n).
2*n**2*(n + 1)*(n + 2)/9
Factor 4122*u - 4122*u + 16 - u**2.
-(u - 4)*(u + 4)
Let l be ((-2)/3)/((-12)/36). Factor 74*c**2 + c - 2 + 2*c - 75*c**l.
-(c - 2)*(c - 1)
Let i(c) be the second derivative of -c**6/105 - 6*c**5/35 - 26*c**4/21 - 32*c**3/7 - 64*c**2/7 - 2*c - 62. Solve i(j) = 0 for j.
-4, -2
What is i in 3/2*i**3 - 162 - 189/2*i - 9*i**2 = 0?
-3, 12
Find d such that -38/9*d + 40/9*d**2 + 0 - 2/9*d**3 = 0.
0, 1, 19
Let i be (-1)/(-1*(-3)/12). Let g be i/6 - 654/(-9). Determine x so that 0*x + g*x**2 + 2*x + 0*x - 73*x**2 = 0.
0, 2
Suppose -t - 3*t = 4*z - 12, 3*z + 4*t - 10 = 0. Factor -z + 5*i**2 - i**2 - 11 - 3.
4*(i - 2)*(i + 2)
Let r be (-20)/(-104)*(-100)/(-125). Let -4/13*u - 6/13*u**2 + r = 0. What is u?
-1, 1/3
Let s be 14 + (-264)/18 + ((-10)/(-3))/5. Suppose s + 14/5*k**4 - 8/5*k + 16/5*k**2 + 38/5*k**3 = 0. Calculate k.
-2, -1, 0, 2/7
Let m(y) = -15*y**5 + 84*y**4 - 182*y**3 + 65*y**2 - 5*y - 5. Let s(b) = -b**5 + b**2 - b - 1. Let d(v) = m(v) - 5*s(v). Suppose d(p) = 0. Calculate p.
0, 2/5, 3, 5
Suppose 0 = -2*s - 2*d - 10, -5*s + 5*d - 11 = -s. Let q be s/2 - (-1 + -4). Let 2*p**3 + 25*p**5 + 0*p**q + 4*p**4 - 23*p**5 = 0. Calculate p.
-1, 0
Let s(u) = 1 - u - 2 + 2*u - 2. Let t be s(5). Find f, given that -8*f - 3*f**3 - 7*f**3 - 12*f**2 - t - 2*f**4 + 2*f**3 = 0.
-1
Let l(g) = 5*g**3 - g**2 - 3*g + 3. Let q be l(1). Let -10*j**3 - 20*j**4 + 24 - 51*j**2 - 28*j - 122*j**3 - 8*j**q - 105*j**2 = 0. What is j?
-3, -1, 2/7
Let n = 79/28 - 18/7. Let v be (-18)/39 - 592/(-832). Factor 1/2*w**3 + 0*w**2 - v - 1/2*w + n*w**4.
(w - 1)*(w + 1)**3/4
Suppose -3*q + 11 = 5. Let a(p) be the second derivative of -1/2*p**4 + 0 + 8*p - 1/2*p**3 - 3/20*p**5 + 0*p**q. Factor a(x).
-3*x*(x + 1)**2
Let x(y) be the third derivative of -y**5/210 + y**4/21 - 54*y**2 + 2. Find s such that x(s) = 0.
0, 4
Let q(d) be the third derivative of d**5/20 + d**4/2 - 2*d**2 + 11*d. Factor q(g).
3*g*(g + 4)
Factor 2*d + 6*d + 4*d**2 + 16*d + 32.
4*(d + 2)*(d + 4)
Let a(f) be the first derivative of -f**9/7056 - f**8/1960 - f**7/1960 - 6*f**3 - 18. Let h(g) be the third derivative of a(g). Factor h(z).
-3*z**3*(z + 1)**2/7
Let j(i) be the third derivative of i**6/360 + i**5/120 + 3*i**3 + 9*i**2. Let v(r) be the first derivative of j(r). Solve v(c) = 0.
-1, 0
Let y(c) = 9*c**2 + 312*c - 103. Let i be y(-35). What is u in 16/11*u + 2/11*u**i + 0 = 0?
-8, 0
Let 388*r**4 + 31 - 6*r**3 - 361*r**4 - 162*r**3 - 7 + 279*r**2 - 162*r = 0. What is r?
2/9, 1, 4
Let u(w) be the third derivative of 0 - 1/54*w**4 + 0*w - 4*w**2 - 11/270*w**5 - 13/540*w**6 - 4/945*w**7 + 0*w**3. Solve u(v) = 0 for v.
-2, -1, -1/4, 0
Let w(v) be the first derivative of -16*v**6/3 - 5264*v**5/5 - 53126*v**4 + 326692*v**3/3 - 82336*v**2 + 27556*v + 246. Suppose w(a) = 0. What is a?
-83, 1/2
Let b = -8 - -24. Let z = b - 14. Find x such that -2*x**z + 2*x**3 + 2*x + 2*x**2 - 4*x**2 = 0.
0, 1
Let r(y) = -3*y**3 + 35*y**2 + 79*y + 41. Let v(n) = 40*n**3 - 490*n**2 - 1105*n - 575. Let x(m) = 55*r(m) + 4*v(m). Factor x(c).
-5*(c + 1)*(c + 3)**2
Let s = 16 - 17. Let b be 7 + (s - -1) - 4. Let 8*y**4 + 4 - 2*y**2 - 6*y**2 + 10*y**b - 10*y**2 - 10*y + 6*y**4 = 0. Calculate y.
-1, 2/7, 1
Suppose 0 = 2*p + v - 67, -2*v - 3*v + 111 = 3*p. Factor p*m**2 - 163*m - 10*m**3 + 135*m + 4*m**5 - 8*m**4 + 2*m**3 + 8.
4*(m - 1)**4*(m + 2)
Suppose 0 = 2*v - 2, -v = -5*t + 33 - 19. Factor 1/3*x**2 - 1/3*x**t + 1/3*x - 1/3.
-(x - 1)**2*(x + 1)/3
Let z(i) = -5*i**2 - 14*i + 2. Let b(x) = 13*x**2 + 28*x - 5. Let f(j) = -6*b(j) - 15*z(j). Factor f(s).
-3*s*(s - 14)
Let j(b) = b**2 + 4. Let l be j(0). Suppose 2*u - i - 11 = 0, -2*u + l*i + 8 + 12 = 0. Factor -4*p**2 - 34*p + 2 + p**5 + 4*p**3 - 3*p**5 + 32*p + 2*p**u.
-2*(p - 1)**3*(p + 1)**2
Let k(w) be the first derivative of w**2/2 + w + 1. Let g be k(1). Find y such that -3 + y - 3*y**3 + 2 + 6*y - 1 - g*y**2 = 0.
-2, 1/3, 1
Let p(r) be the first derivative of -r**6/60 + 3*r**5/40 + r**4/8 - 7*r**3/12 - 3*r**2/2 - 25*r + 17. Let s(x) be the first derivative of p(x). Factor s(t).
-(t - 3)*(t - 2)*(t + 1)**2/2
Let o(x) be the first derivative of -x**9/1134 - x**8/360 + x**7/630 + 6*x**3 + 17. Let m(c) be the third derivative of o(c). Factor m(s).
-2*s**3*(s + 2)*(4*s - 1)/3
Let y = -1 - -5. Let f(o) = -28*o**3 - 36*o**2 - 17*o - 9. Let v(j) = 14*j**3 + 18*j**2 + 8*j + 4. Let d(w) = y*f(w) + 9*v(w). Factor d(h).
2*h*(h + 1)*(7*h + 2)
Let z be -13 + -3*338/(-78). Factor 0*m**2 + 0*m + z - 2*m**4 - 2/3*m**5 - 4/3*m**3.
-2*m**3*(m + 1)*(m + 2)/3
Let p(c) be the second derivative of -c**7/126 + c**6/90 + c**5/30 + 9*c - 26. Determine x, given that p(x) = 0.
-1, 0, 2
Let c be (154/22 - (0 + (-2)/(-3))) + -5. Factor -c*t + 1/6*t**2 - 3/2.
(t - 9)*(t + 1)/6
Let t(b) be the third derivative of b**8/120960 + b**7/2520 + b**6/120 - 2*b**5/5 + 18*b**2. Let y(s) be the third derivative of t(s). Factor y(l).
(l + 6)**2/6
Let f be (-140)/(-28) - 58/14. Factor 0*w + 4/7*w**3 + 2/7*w**4 + 0 - f*w**2.
2*w**2*(w - 1)*(w + 3)/7
Let r = 2159 - 354. Let k = r - 8987/5. Factor 6/5*u**3 + k*u**2 + 18/5 + 66/5*u.
2*(u + 3)**2*(3*u + 1)/5
Let k(a) be the first derivative of -a**3/3 + 5*a**2/2 - 4*a + 43. Solve k(x) = 0.
1, 4
Suppose 0 = -4*i - 4 + 44. Let a be (-4)/i - ((-80)/25)/8. Factor -4/3*q**3 + 0*q - 2*q**4 + 0*q**2 + a.
-2*q**3*(3*q + 2)/3
Let y(p) be the second derivative of p**5/30 + 10*p**4/3 + 100*p**3 - 8*p - 12. Find w such that y(w) = 0.
-30, 0
Let a(r) be the first de