2*(k/9)/2. Factor -2 + 4*n**2 + v*n**4 - n + 0*n**2 - 6 - 12*n**3 + 13*n.
4*(n - 2)*(n - 1)**2*(n + 1)
Let z be 3/21 + (-66)/21. Let t be -6*((590/39)/(-5) - z). Factor 6/13*c**5 - 8/13*c**4 + 0 + 0*c + 4/13*c**2 - t*c**3.
2*c**2*(c - 1)**2*(3*c + 2)/13
Find w such that 57 + 2*w**5 + 119*w**2 - 140*w - 9 - 325*w**3 + 64*w**2 + 295*w**3 - 10*w**4 - 53*w**2 = 0.
-4, 1, 6
Suppose 4*b = 2*w - 0*b + 36, -8 = 2*w + 3*b. Let t be (w/(-6))/(5/6). Factor -4 + 21*d**2 - 7*d**t - 11*d**2 - d**3.
-(d - 2)**2*(d + 1)
Solve -2/7*v**2 + 28*v - 686 = 0 for v.
49
Let m(i) be the second derivative of -i**4/12 + i**3/2 + 2*i**2 - 166*i + 3. Suppose m(l) = 0. Calculate l.
-1, 4
Let n(h) be the first derivative of -2*h**5/75 - h**4/2 - 76*h**3/45 - 8*h**2/5 - 98. Let n(z) = 0. What is z?
-12, -2, -1, 0
Let a(h) = 9*h**2 + 112*h + 213. Let r(f) = -44*f**2 - 560*f - 1064. Let u(n) = 24*a(n) + 5*r(n). Find b, given that u(b) = 0.
-26, -2
Suppose 5*h = 2*h, 0 = -3*m + 3*h + 6. Let o(f) be the first derivative of -1/5*f**5 + 0*f - 1/2*f**4 - 1/3*f**3 - 4 + 0*f**m. Find z such that o(z) = 0.
-1, 0
Let c(q) be the third derivative of 1/84*q**8 - 1/15*q**5 - 2/35*q**7 + 0 + 1/10*q**6 - 3*q**2 + 0*q + 0*q**3 + 0*q**4. Factor c(n).
4*n**2*(n - 1)**3
Let m(w) be the first derivative of -w**4/8 + 23*w**3/2 - 1587*w**2/4 + 12167*w/2 + 46. Factor m(a).
-(a - 23)**3/2
Let k(d) = 9*d**2 - 10*d + 26. Let w(p) = -5*p**2 + 5*p - 14. Let o(b) = 4*k(b) + 7*w(b). Let o(y) = 0. What is y?
2, 3
Let n(s) be the second derivative of -2*s + 1/54*s**4 - 1/135*s**6 - 1/90*s**5 + 0*s**3 + 0 + 0*s**2 + 1/189*s**7. Suppose n(b) = 0. What is b?
-1, 0, 1
Let r be ((-46)/(-3))/((-16)/24). Let u = r + 27. Factor -3*l**3 - 11*l**4 - 4*l**u + l**3 + 13*l**4.
-2*l**3*(l + 1)
Let a(r) be the third derivative of -r**5/20 - r**4/3 - r**3/6 + 13*r**2. Let t(q) = -2*q**2 - 7*q - 2. Let s(m) = 3*a(m) - 4*t(m). Factor s(l).
-(l - 5)*(l + 1)
Let f = -303 + 149. Let z = 156 + f. Determine p so that 8/7*p - 2/7*p**z - 8/7 = 0.
2
Let k(l) be the third derivative of -l**5/15 - 4*l**4/3 + 40*l**3/3 + 2*l**2 - 13. Solve k(t) = 0 for t.
-10, 2
Let o(z) = 5*z**2 + 8*z - 1. Let y be o(-2). Let u be ((-2)/15)/(3/(-27)). Factor 0 - 3/5*f**y + u*f**2 - 3/5*f.
-3*f*(f - 1)**2/5
Let b(u) be the second derivative of 5*u**4/3 + 52*u**3/3 + 10*u**2 + 65*u. Factor b(n).
4*(n + 5)*(5*n + 1)
Let j be ((-4 - -3)/(-1))/((-4)/16). Let w be 350/105*j/(-10). Let -4/3*v**2 + 0*v + 4/3*v**5 - w*v**3 + 4/3*v**4 + 0 = 0. Calculate v.
-1, 0, 1
Let g(k) = 4*k**3 + 5*k**2 + 27*k + 3. Let x(j) = -17*j**3 - 17*j**2 - 109*j - 13. Let f(q) = -26*g(q) - 6*x(q). Factor f(r).
-2*r*(r + 2)*(r + 12)
Let h be 4*(155/(-20) - -9). Let n(l) be the first derivative of 2*l**2 - l**4 - 8/3*l**3 + 8*l - h. Find a such that n(a) = 0.
-2, -1, 1
Suppose -38*i + 32 = -39*i. Let v = i + 34. Factor 6/7*k + 4/7 + 2/7*k**v.
2*(k + 1)*(k + 2)/7
Suppose -2*g = d + d - 20, g + 8 = d. Let i be ((-1)/3)/((-1)/d). Find z such that -i*z**3 + 22 - 28*z**2 - 9*z**3 - 11 + 5 = 0.
-2, -1, 2/3
Let s(u) be the first derivative of -u**5/20 + 11*u**4/16 - 31*u**3/12 + 21*u**2/8 - 97. Factor s(b).
-b*(b - 7)*(b - 3)*(b - 1)/4
Let j(y) = y**3 + y**2 - y + 49. Let m be j(0). Let w = m + -47. What is f in 0 + 0*f - 3/7*f**w + 3/7*f**4 + 0*f**3 = 0?
-1, 0, 1
Let f(y) be the third derivative of -y**5/255 - y**4/204 + 12*y**3/17 - 3*y**2 - 7*y. Find z, given that f(z) = 0.
-9/2, 4
Let p(f) be the second derivative of 0*f**2 - 5/6*f**4 + 34*f - 1/10*f**5 + 0 + 0*f**3. Factor p(g).
-2*g**2*(g + 5)
Let q(r) be the third derivative of -r**7/490 + 9*r**5/70 - 81*r**3/14 - 41*r**2. Solve q(k) = 0 for k.
-3, 3
Suppose 60 = -23*s + 17*s. Let o be (12/s)/((-48)/60). Factor -24*c**3 + 0 - o*c - 12*c**2.
-3*c*(4*c + 1)**2/2
Let a(z) be the first derivative of -z**4/18 - 8*z**3/9 - 29*z**2/9 - 4*z + 223. Factor a(l).
-2*(l + 1)*(l + 2)*(l + 9)/9
Let h(a) = 5*a**2 - 7*a + 3. Let y(i) = -9*i**2 + 15*i - 1. Let p(l) = 5*h(l) + 3*y(l). Factor p(d).
-2*(d - 6)*(d + 1)
Factor -14/9*o**3 + 2/9*o**4 + 56/9*o + 0 - 8/9*o**2.
2*o*(o - 7)*(o - 2)*(o + 2)/9
Suppose 3*i + 8 = -3*n - 2*i, -2*i + 10 = -n. Let q = 10 + n. Factor 3*b**2 - 3 + 0 + q + 5 - 9*b.
3*(b - 2)*(b - 1)
Suppose 3*i = 2 + 31. Suppose 2*h - i = -5. Factor -1/4*x**5 + 1/2*x**h + 1/4*x**4 + 1/4 - 1/4*x - 1/2*x**2.
-(x - 1)**3*(x + 1)**2/4
Let x = 9 + 0. Suppose 2*o + x = 5*o. Suppose 6*q**2 - o*q + 8 + q + q**3 + 14*q = 0. What is q?
-2
Factor 1/3*d**2 - 8*d + 23/3.
(d - 23)*(d - 1)/3
Factor 30*b + 664 + 2*b**2 + 661 - 1325.
2*b*(b + 15)
Suppose 4*j - 69 + 49 = 0. Determine q so that -20*q - 15*q**3 + 5*q**j - 40*q**2 - 135 + 10*q**4 + 135 = 0.
-2, -1, 0, 2
Let a(w) be the first derivative of -2/35*w**5 - 2/21*w**3 + 0*w**2 - 1/7*w**4 + 8 + 0*w. Factor a(t).
-2*t**2*(t + 1)**2/7
Determine r, given that 5 + 17*r**2 + 24*r - 5*r - 3 = 0.
-1, -2/17
Factor 400/7*p - 4/7*p**3 + 4000/7 - 40/7*p**2.
-4*(p - 10)*(p + 10)**2/7
Suppose 3*f - 4 = p, 0*f - 2*f + 4*p - 14 = 0. Determine h, given that -57*h**2 - 315*h - 154 - 18*h**2 - 5*h**f - 91 = 0.
-7, -1
Let b(p) = -16*p + 41. Let j be b(-9). Solve j*u**2 + u + 0*u - 187*u**2 - 6 + 7*u = 0 for u.
1, 3
Let f = -427 + 427. Let x(l) be the second derivative of 0*l**2 + f - 1/12*l**4 + 1/40*l**5 - 2*l + 1/12*l**3. What is s in x(s) = 0?
0, 1
Let s(j) be the first derivative of j**4/2 - 22*j**3/3 - 26*j**2 - 226. Factor s(p).
2*p*(p - 13)*(p + 2)
Let l be 700/28 + -20 - (2 + 0). Determine n, given that 4*n**2 - 11/4*n - 7/4*n**l + 1/2 = 0.
2/7, 1
Suppose 10*i = 8*i + 6. Let m(z) = z**3 + 7*z**2 + 7*z + 9. Let l be m(-6). Let 0*o**i - 4*o**4 + 2*o**2 + 2*o**4 + 4*o + 0*o**l - 4*o**3 = 0. What is o?
-2, -1, 0, 1
Let h(l) be the first derivative of -l**4/6 - 5*l**3/3 - 4*l**2 + 7*l - 26. Let y(c) be the first derivative of h(c). Factor y(b).
-2*(b + 1)*(b + 4)
Let o be ((-18)/(-4) - 3)*(-20)/(-15). Determine g so that -6*g**4 + 0*g**3 + 8*g**2 - 8 - 29*g**5 + 31*g**5 + 6*g**o - 2*g**3 = 0.
-1, 1, 2
Let g(s) be the second derivative of -3*s**5/80 + 43*s**4/16 - 55*s**3 - 363*s**2/2 - 9*s + 7. Factor g(x).
-3*(x - 22)**2*(x + 1)/4
Let d = 32412/7 - 4629. Suppose d*a - 12/7*a**2 + 3/7 = 0. What is a?
-1/4, 1
Suppose -1008 = -4*s - 2*s. Let k = s + -1174/7. Suppose 8/7 + 0*t - k*t**2 = 0. What is t?
-2, 2
Let c(f) be the third derivative of 0*f**4 - 2/75*f**5 + 0*f**3 + 0 + 0*f - 1/420*f**8 - 24*f**2 - 8/525*f**7 - 1/30*f**6. Factor c(o).
-4*o**2*(o + 1)**2*(o + 2)/5
Let c = 33 + -39. Let l(x) = -3*x**4 - 9*x**3 + 9*x**2 - 9*x. Let k(b) = -8*b**4 - 27*b**3 + 27*b**2 - 26*b. Let p(d) = c*k(d) + 17*l(d). Factor p(g).
-3*g*(g - 1)**3
Suppose -4*r = -5*r + 17. Factor -30*i**2 - 12 - r - 15*i**4 - 30*i**3 + 26 - 15*i - 3*i**5.
-3*(i + 1)**5
Suppose 5*f + 3 = 18. Solve 162*s**2 - 164*s**2 - 1 - f + 6*s = 0.
1, 2
Let l be (28/(-21))/(2/3 + -1). Factor -10 - 8*a - 15*a**3 - 4*a**l + 23*a**3 - 4*a**2 + 16*a**2 + 2*a**4.
-2*(a - 5)*(a - 1)*(a + 1)**2
Let b(h) be the third derivative of h**7/70 - 7*h**6/120 + h**4/6 - 2*h**2 + 16. Factor b(x).
x*(x - 2)*(x - 1)*(3*x + 2)
Let o = -91 + 90. Let f(x) = -7*x**4 - 8*x**3 - 3*x**2 + x. Let z be (-6)/(-24) - (-6)/8. Let s(i) = -i**4 + i**3 + i. Let h(b) = o*f(b) + z*s(b). Factor h(m).
3*m**2*(m + 1)*(2*m + 1)
Let j(c) be the first derivative of 2/25*c**5 - 2/15*c**3 - 2 - 1/20*c**4 + 1/30*c**6 + 0*c**2 + 0*c. Let j(t) = 0. What is t?
-2, -1, 0, 1
Let s(g) be the second derivative of g**8/23520 - g**6/2520 + 5*g**4/6 - 42*g. Let k(x) be the third derivative of s(x). Factor k(m).
2*m*(m - 1)*(m + 1)/7
Let f be (-9 - 2) + 16 + 21/(-9). Determine h so that 2/3*h**2 + f - 8/3*h = 0.
2
Let d(b) be the first derivative of 5*b**6/21 - 22*b**5/5 + 200*b**4/7 - 1616*b**3/21 + 624*b**2/7 - 288*b/7 - 322. Find k, given that d(k) = 0.
2/5, 1, 2, 6
Let h(z) be the first derivative of 4*z**5/5 + 4*z**4 + 8*z**3/3 - 8*z**2 - 12*z - 3. Solve h(r) = 0 for r.
-3, -1, 1
Suppose 8*x = 15*x - 273. Factor -90*k + x*k - 4*k**3 + 3*k**3 - 12*k**2 + 15*k.
-k*(k + 6)**2
Suppose 0 = -4*h - 794 - 158. Let a = 1194/5 + h. Determine t so that a*t**2 + 8/5*t - 4/5*t**3 + 0 = 0.
-1, 0, 2
Factor 5*t**3 - 2*t**3 + 16 + 2*t**3 + 4 + t**2 - 16*t**2.
5*(t - 2)**2*(t + 1)
Let b(i) = 5*i + 2. Let a be b(0). Find r such