j**5/5 - 35*j**4/6 + 68*j**3/3 + 36*j**2 - 3*j + 11. Factor d(k).
2*(k - 9)*(k - 1)*(3*k + 2)**2
Let l(s) be the second derivative of 7*s**4/24 + 19*s**3/6 + 15*s**2/4 + 126*s. Suppose l(f) = 0. Calculate f.
-5, -3/7
Factor -3/5*i**2 - 114/5*i - 1083/5.
-3*(i + 19)**2/5
Suppose 9*t - 18 = 3*t. Let n(h) be the second derivative of -t*h**2 + 1/2*h**4 + 0 - 3/20*h**5 + 1/2*h**3 + 3*h. Suppose n(f) = 0. What is f?
-1, 1, 2
Let l = -6278 - -6280. Factor -1/3*u**l - u + 0.
-u*(u + 3)/3
Let x be -66 - (4/16 + (-6)/(-8)). Let q = 70 + x. Determine m, given that 0*m**2 + 0 + 1/3*m**q + 1/3*m**4 + 0*m = 0.
-1, 0
Solve 2/5*y**2 - 144/5*y + 2592/5 = 0 for y.
36
Let z(q) be the third derivative of -q**6/280 - 3*q**5/35 - 9*q**4/14 + 39*q**2. Suppose z(k) = 0. Calculate k.
-6, 0
Factor 8*k**2 + 12 + 12*k**3 - 12 + 4*k**4.
4*k**2*(k + 1)*(k + 2)
Let t(v) = -v**4 - v**2 + v. Let o(s) = -35*s**3 + s + 35*s**2 + 5*s**4 - 34*s**3 + 24*s**4. Let r(b) = o(b) - 4*t(b). Solve r(j) = 0 for j.
0, 1/11, 1
Let q(i) = 10*i - 7. Let s be q(5). Let f = -28 + s. Factor -f*l**3 + 11*l**4 + 9*l**4 - 6*l**2 + l**4.
3*l**2*(l - 1)*(7*l + 2)
Let z(v) be the first derivative of -v**4/12 + 4*v**3/3 - 8*v**2 + 2*v + 9. Let l(w) be the first derivative of z(w). Factor l(n).
-(n - 4)**2
Let y(u) = -u - 2*u**3 + u**3 - 3 - 18 + 5*u + 6*u**2. Let g be y(6). Suppose 0 - 4*t + 42*t**2 + 343/2*t**4 - 147*t**g = 0. What is t?
0, 2/7
Let n = 2 + 3. Suppose 5 = n*w - 25. Factor y**3 + 4*y**2 - w*y**2 + 12*y - 11*y.
y*(y - 1)**2
Let p be 9/(-2)*((-20)/(-6))/5. Let f(t) = 17*t**3 - 28*t**2 - 8. Let s(l) = -6*l**3 + 9*l**2 + 3. Let q(a) = p*f(a) - 8*s(a). Factor q(k).
-3*k**2*(k - 4)
Let -20/3 - 1/3*q**2 - 4*q = 0. What is q?
-10, -2
Suppose 16 = 5*k - 4. Suppose -108 = -0*q - k*q. Factor 3*o**3 - 6*o**3 - 81*o + 0*o**2 + 81 + q*o**2.
-3*(o - 3)**3
Let c = 14 + -12. Let u(n) be the second derivative of -1/60*n**4 + 1/30*n**3 + 1/5*n**c - 2*n + 0. Determine f, given that u(f) = 0.
-1, 2
Let o = -404622244/635 + 637200. Let w = 2/127 - o. Factor 8/5*f**2 + w - 2*f.
2*(f - 1)*(4*f - 1)/5
Let a be (-20)/(-4) - ((-21)/(-6))/((-13)/104). What is o in -363/2 - 3/2*o**2 + a*o = 0?
11
Let n = 22 - 7. Solve 2*f + 0*f**3 + 3*f**2 + 8*f**4 + n*f**2 + 14*f**3 + 8*f**3 - 2 = 0 for f.
-1, 1/4
Suppose -7*s + 24 = -s. Factor 3*o**2 - 16 + 8*o**2 + s*o**2 + 4*o**3 - 3*o**2.
4*(o - 1)*(o + 2)**2
Suppose -30 = 22*w - 25*w. Let q be (w/(-40))/(14/(-32)). Let 2/7*u**2 - q*u + 0 = 0. What is u?
0, 2
Let t = 38 + -36. Factor 2*a**t + 4*a**4 - 8*a**3 + 2*a**2 + 984 - 984.
4*a**2*(a - 1)**2
Let x be (16/1)/(4 - 2). Let -82*u + 8*u - 27*u**2 - x*u**2 + 30 - 21*u = 0. What is u?
-3, 2/7
Let o be 20/6*(-108)/(-45). Determine j, given that -12*j**3 - 33*j**4 + 21*j**4 + o*j**2 + 16*j**4 = 0.
0, 1, 2
Let w be 2 + (-5 - (-30)/9). Let u be 25/3 + -4 + -4. Factor -1/3*k**2 - w*k**3 + 1/3*k + u.
-(k - 1)*(k + 1)**2/3
Let c(n) be the first derivative of -2*n**3/57 - 66*n**2/19 - 2178*n/19 + 23. Let c(u) = 0. What is u?
-33
Suppose 4*f - 3*f - 3*r - 8 = 0, 8 = 5*f + r. Determine s, given that -53*s**2 + 2*s - 10*s + 8*s**3 - 4*s**4 + 57*s**f = 0.
-1, 0, 1, 2
Let h(f) be the second derivative of 5*f**4/72 - 25*f**3/36 + 75*f. Factor h(m).
5*m*(m - 5)/6
Let q(z) be the third derivative of -z**8/672 + z**7/84 - z**5/3 + 5*z**4/3 + z**3/2 + 5*z**2. Let k(f) be the first derivative of q(f). Factor k(c).
-5*(c - 2)**3*(c + 2)/2
Suppose 2 = -f + 2*f. Suppose -5*j - m = -4 - 23, -f*j - 2*m = -6. Factor -20*s**2 + 2*s**4 - j*s**4 + 16*s**3 - 2*s + 5*s + 5*s.
-4*s*(s - 2)*(s - 1)**2
Let d(f) be the first derivative of f**5/80 - f**4/16 + f**3/8 - f**2/8 + 19*f + 3. Let t(k) be the first derivative of d(k). Factor t(x).
(x - 1)**3/4
Let f be (-1 - -2)/(555/1395 - 6/93). Factor -16/5*k + 2/5*k**2 + 2*k**f - 2/5*k**5 + 8/5 - 2/5*k**4.
-2*(k - 1)**3*(k + 2)**2/5
Suppose 4*u + 5 = 5*u. Suppose 4*w + 2*y = 14, 0 = -w + 3*w - y - u. Factor -w*s**2 - 24*s - 12 + 2*s**2 - s**2 + 17*s**2.
3*(s - 2)*(5*s + 2)
Let l(q) be the second derivative of 1/30*q**6 - 14*q - 3/20*q**5 + 1/4*q**4 + 0*q**2 - 1/6*q**3 + 0. Factor l(a).
a*(a - 1)**3
Let a(r) = r**2 + 4*r + 4. Let c(b) = -3*b - 38. Let j be c(-12). Let f be a(j). Find h, given that -3/4*h**3 + 3/4*h + 0 + f*h**2 = 0.
-1, 0, 1
Let z = -454 - -457. Let m(j) be the third derivative of 1/720*j**6 + 0 + 0*j - 1/144*j**4 - 1/360*j**5 + 1/36*j**z + 4*j**2. Find f such that m(f) = 0.
-1, 1
Factor 315*m**3 - 92*m**2 - 13920*m - 83*m**3 - 124*m**4 + 13904*m.
-4*m*(m - 1)**2*(31*m + 4)
Let r(f) be the third derivative of -f**5/390 - 7*f**4/156 - 2*f**3/13 - 4*f**2 + 20*f. Find p, given that r(p) = 0.
-6, -1
Let n be (-2 - 4)/(((-63)/(-312))/(-7)). Let y = n + -204. Factor -2/15*h**y + 2/15*h**2 + 2/15*h**3 + 0 - 2/15*h.
-2*h*(h - 1)**2*(h + 1)/15
Determine v, given that 2048/9 - 56*v**2 + 64/9*v**3 - 256/9*v - 2/9*v**4 = 0.
-2, 2, 16
Factor -714*k**4 - 704474 - 26*k**4 - 550750*k**2 + 36005*k**3 - 1212500*k - 106584 + 186058 + 5*k**5.
5*(k - 50)**3*(k + 1)**2
Let t(a) be the second derivative of -28*a + 0*a**2 + 8/27*a**3 - 1/45*a**5 + 0*a**4 + 0. Factor t(x).
-4*x*(x - 2)*(x + 2)/9
Let t(l) = -3*l**3 + 69*l**2 + 78*l. Let h(v) = 2*v**3 - 71*v**2 - 78*v. Let s(k) = 6*h(k) + 5*t(k). Factor s(o).
-3*o*(o + 1)*(o + 26)
Suppose 0*q + 20 = 4*q. Let n(l) = 12*l + 9. Let v be n(q). Factor -i**2 - v + i + 69.
-i*(i - 1)
Let j be (-1 + 25/20)/1. Let c = 74 + -72. Factor -1/4*i**c + 0*i + j.
-(i - 1)*(i + 1)/4
Let w(t) be the first derivative of -t**6/30 - 19*t**5/40 + 5*t**4/8 - t**3 - 11. Let p(x) be the third derivative of w(x). Find z such that p(z) = 0.
-5, 1/4
Let n = -543 + 547. Let j(h) be the second derivative of 4*h - 1/30*h**5 + 0 + 2/9*h**3 + 1/18*h**n + 0*h**2. Factor j(b).
-2*b*(b - 2)*(b + 1)/3
Let l = 2639 - 2637. Factor 1/3*x**4 - 4/3*x - 4/3*x**3 + 2*x**l + 1/3.
(x - 1)**4/3
Let l(q) be the second derivative of 0 + 8/9*q**3 - 22*q - 16/3*q**2 + 1/30*q**5 + 7/18*q**4. Let l(n) = 0. What is n?
-4, 1
Let l be (27/(-18))/(180/(-4)). Let g(c) be the second derivative of 9/5*c**2 + l*c**4 + 0 - 2/5*c**3 + c. Find n, given that g(n) = 0.
3
Factor -4/5*g - 12/5 + 1/5*g**2.
(g - 6)*(g + 2)/5
Let 4*v**5 - 7*v**2 - 56624*v**4 - 56*v + 43*v**2 + 56588*v**4 + 52*v**3 = 0. What is v?
-1, 0, 1, 2, 7
Let s(f) = -6*f**2 + 4*f. Let h(p) = p**2 - p. Let w(i) = 5*h(i) + s(i). Let a(k) = 3*k**3 - 8*k**2 + 16*k. Let q(v) = a(v) + 4*w(v). Factor q(m).
3*m*(m - 2)**2
Suppose -2*y - 299 = 3*v - 0*v, -5*y = -2*v - 212. Let i = -99 - v. Factor 5/2*a - 2*a**i + 1/2*a**3 - 1.
(a - 2)*(a - 1)**2/2
Let w be 5 + (0*(-1)/6)/(-1). Solve 2/5*k**w + 0*k**3 - 4/5*k**4 + 4/5*k**2 - 2/5*k + 0 = 0 for k.
-1, 0, 1
Solve 14/17*w**2 + 0 - 2/17*w**3 + 36/17*w = 0 for w.
-2, 0, 9
Suppose 52 = 3*b - 2*b. Factor -6*s - b - 3*s**3 + 12*s**2 - 9*s + 58.
-3*(s - 2)*(s - 1)**2
Let t(i) be the first derivative of 4*i**5/25 - i**4 + 4*i**3/5 + 2*i**2 - 16*i/5 + 317. Suppose t(f) = 0. What is f?
-1, 1, 4
Let s(i) = -4*i**3 - 76*i**2 - 328*i - 192. Let w(p) = 2*p - 2. Let y(f) = s(f) + 16*w(f). Factor y(g).
-4*(g + 1)*(g + 4)*(g + 14)
Let q = 15980/3 - 5316. Factor -104/3*r - 28/3*r**2 + q.
-4*(r + 4)*(7*r - 2)/3
Let f be 466/(-233) - ((-78)/4)/3. Let s(x) be the second derivative of -7*x + f*x**2 + 0 + 1/4*x**4 + 2*x**3. Let s(d) = 0. What is d?
-3, -1
Find o such that 18/7*o + 12/7*o**2 + 0 - 6/7*o**3 = 0.
-1, 0, 3
Let v(x) be the first derivative of 3/14*x**2 - 27/35*x**5 - x**3 + 6 + 0*x + 45/28*x**4. Factor v(r).
-3*r*(r - 1)*(3*r - 1)**2/7
Suppose -4*x = -l - 17, -x - 2*l + 2 = -0*l. Factor z**x + 7*z**3 - z**3 - 4*z**4 + 6*z**4.
3*z**3*(z + 2)
Factor -2/3*n**2 + 2*n + 8/3.
-2*(n - 4)*(n + 1)/3
Let x(w) = -5*w**4 - 31*w**3 - 24*w**2 + 26*w + 46. Let v(u) = -70*u**4 - 435*u**3 - 335*u**2 + 365*u + 645. Let g(k) = 6*v(k) - 85*x(k). Factor g(d).
5*(d - 1)*(d + 2)**3
Factor -13*c**2 + 4 + 20*c**2 + 24*c - 35*c**2.
-4*(c - 1)*(7*c + 1)
Let p(z) be the first derivative of -z**6/120 + z**5/15 + 41*z**2/2 + 14. Let a(u) be the second derivative of p(u). Factor a(l).
-l**2*(l - 4)
Let w be (-100)/(-45) - (-4)/(-18). Factor 0 + s**2 - 2 - 1 + 6*s - 4*s**w.
-3*(s - 1)**2
Let i(y) be the third derivative of -28/9*y**3 + 0 + 1/9*y**4 + 5*y**2 - 1/630*y**5 + 0