t n(b) = -6*b**2 + 36*b - 22. Let q(f) = -3*f**2 + 18*f - 12. Let a(c) = 6*n(c) - 11*q(c). Let a(s) = 0. What is s?
0, 6
Suppose 22*u + 2100 = -1684. Let h = u - -174. Determine n, given that -8/9*n**h + 68/9*n**3 + 0*n - 182/9*n**4 + 0 + 49/3*n**5 = 0.
0, 2/7, 2/3
Let l(s) be the second derivative of s**6/120 - s**5/20 + 5*s**4/48 - s**3/12 + 164*s + 2. Factor l(d).
d*(d - 2)*(d - 1)**2/4
Let n(h) be the second derivative of h**7/1050 + h**6/200 + h**5/150 + 3*h**2 + 6*h. Let d(x) be the first derivative of n(x). Let d(f) = 0. What is f?
-2, -1, 0
Let l(n) be the first derivative of -n**6/200 - n**5/200 - 16*n**3/3 + 7. Let q(s) be the third derivative of l(s). Factor q(k).
-3*k*(3*k + 1)/5
Let y(l) = 32*l - 736. Let p be y(23). Let i(q) be the third derivative of -1/36*q**4 - 1/60*q**6 + 0 + 10*q**2 + 0*q**3 + 7/180*q**5 + p*q. Factor i(t).
-t*(2*t - 1)*(3*t - 2)/3
Let t(q) be the second derivative of q**4/24 + q**3 + 9*q**2 + 10*q + 4. Factor t(d).
(d + 6)**2/2
Let r(j) be the first derivative of -6/5*j - 3/25*j**5 - 31 - 3/4*j**4 - 9/5*j**3 - 21/10*j**2. Determine i, given that r(i) = 0.
-2, -1
Factor 1/2*a**2 - 1/4*a**3 + 0 - 1/4*a.
-a*(a - 1)**2/4
Let f be 985 - -4*4/(-8). Determine u so that 4*u**2 + 16*u**2 - f*u**3 - 20*u**4 - 5*u**5 + 988*u**3 = 0.
-4, -1, 0, 1
Let f(n) be the second derivative of n**5/35 + 5*n**4/42 + 2*n**3/21 + 24*n. Factor f(r).
2*r*(r + 2)*(2*r + 1)/7
Let a(p) be the second derivative of -3*p**5/40 + 7*p**4/48 - p**3/24 - 14*p - 1. Factor a(s).
-s*(s - 1)*(6*s - 1)/4
Let x(p) = 7*p + 46. Let b be x(-6). Let m(z) = -z**2 - 7*z - 4. Let g be m(-6). Factor -8*y + 4*y**2 + g*y - y + b*y**3 - 4*y**4 + 3*y.
-4*y*(y - 1)**2*(y + 1)
Let y(p) be the first derivative of -3*p**5/35 - 9*p**4/14 - 8*p**3/7 + 9*p**2/7 + 27*p/7 + 4. Solve y(w) = 0.
-3, -1, 1
Suppose -q - 2*i + 11 = 0, 2*i - 6 = 2. Factor -o**4 + 6*o**q + 0*o**4 - 2*o**4.
-3*o**3*(o - 2)
Determine t, given that -3*t**2 + 8*t**2 - 3 - 2*t**4 - 4*t + 3*t**2 + 4*t**3 - 3 = 0.
-1, 1, 3
Suppose 10*l = 7*l + 15. Factor -17*t**3 + 10*t**3 - t**2 + 10*t**3 - l*t**2.
3*t**2*(t - 2)
Let m = 1 + -1. Let f be (147/(-6) - -24)/(10/(-16)). Factor m - 96/5*r**4 + f*r + 36/5*r**5 - 32/5*r**2 + 88/5*r**3.
4*r*(r - 1)**2*(3*r - 1)**2/5
Let m be (-202)/1111*((-20)/3 - -3)*2. Factor -m*b**2 + 16/3*b - 16/3.
-4*(b - 2)**2/3
Let h(c) = c**2 + 2*c + 2. Let d be h(0). Let j = 1610 - 4820/3. Factor 0 + 5/3*q**d - j*q.
5*q*(q - 2)/3
Let h be 480/(-180) + (3 - -1). Factor -4*q + 7/3*q**2 - h.
(q - 2)*(7*q + 2)/3
Solve 1/5*b**4 + 6/5*b**3 + 8/5*b + 0 - 3*b**2 = 0.
-8, 0, 1
Let b(q) be the second derivative of -q**7/21 - 13*q**6/15 - 9*q**5/8 + 19*q**4/12 + 23*q**3/12 - 3*q**2 - 571*q. Find g, given that b(g) = 0.
-12, -1, 1/2
Let a(s) = -4*s**2 + 8*s - 3. Let y be a(2). Let v be y*(3 - 238/78). Factor -2/13*g**3 + 0 + 4/13*g - v*g**2.
-2*g*(g - 1)*(g + 2)/13
Let z(j) = j**4 + j**3 - j**2 - 1. Let w(k) be the first derivative of k**6/6 + 3*k**5/5 + k**4/2 - k**3 - 3*k - 44. Let d(x) = w(x) - 3*z(x). Solve d(a) = 0.
-1, 0, 1
Let f(z) be the third derivative of z**7/180 + 41*z**6/360 + 29*z**5/90 - 5*z**4/18 - 442*z**2. Find l, given that f(l) = 0.
-10, -2, 0, 2/7
Let p = -71 + 78. Let a(j) be the third derivative of -1/1260*j**p + 0*j**3 + 0 + 1/720*j**6 + 0*j + 0*j**4 - 5*j**2 + 0*j**5. Factor a(d).
-d**3*(d - 1)/6
Let z(q) be the first derivative of -25 + 1/2*q**4 - 4/3*q**3 + 0*q + q**2. Solve z(p) = 0 for p.
0, 1
Suppose 2714 = 18*k + 968. Factor -5*d**3 - 1496*d + 8640 - 100*d - 564*d + k*d**2 + 83*d**2.
-5*(d - 12)**3
Let -22 - 16*p + 8*p + 59*p + 20*p + 2*p**3 - 26*p**2 - 25*p = 0. Calculate p.
1, 11
Let t(i) be the first derivative of 0*i - 10 + 0*i**2 + 0*i**4 + 2/3*i**3 - 1/12*i**6 - 3/10*i**5. Factor t(q).
-q**2*(q - 1)*(q + 2)**2/2
Suppose -5*o = 2*s - 21, 0 = -6*s + 2*s + 2*o + 6. Factor -8/5*g - 2/5*g**s + 8/5*g**2 + 0.
-2*g*(g - 2)**2/5
Let p(o) be the first derivative of 3*o**4/10 - 4*o**3/15 - o**2/5 - 43. Suppose p(b) = 0. What is b?
-1/3, 0, 1
Let d(k) be the third derivative of -k**7/4200 + k**5/200 - k**4/60 + k**3 - 7*k**2. Let a(n) be the first derivative of d(n). Solve a(y) = 0.
-2, 1
Let l(r) be the first derivative of r**6/240 + r**5/15 + 5*r**4/12 + 4*r**3/3 + 5*r**2/2 + r - 11. Let a(o) be the second derivative of l(o). Factor a(y).
(y + 2)**2*(y + 4)/2
What is c in 4/5 - 2/5*c**2 + 2/5*c = 0?
-1, 2
Determine s, given that 112*s + 703 + 62 + 38*s**2 - 48*s**2 + 14*s**2 + 19 = 0.
-14
Let z(q) = -3*q**5 - 21*q**4 - 96*q**3 - 156*q**2 - 93*q - 33. Let u(r) = -r**5 - r**4 - r**3 - r**2 + 2*r - 1. Let b(i) = -6*u(i) + z(i). Factor b(p).
3*(p - 9)*(p + 1)**4
Factor 23*g + 22*g - 4 - 39*g - 2*g**3.
-2*(g - 1)**2*(g + 2)
Let u(s) be the third derivative of -s**5/20 - 2*s**4 + 18*s**3 - 127*s**2. Determine m, given that u(m) = 0.
-18, 2
Factor -38/7 - 36/7*b + 2/7*b**2.
2*(b - 19)*(b + 1)/7
Factor -842*o**2 - 841*o**2 + 1683*o**2 + 20*o**3 + 2*o**5 + 22*o**4.
2*o**3*(o + 1)*(o + 10)
Suppose 0 = -2245*c + 2240*c + 10. Factor 8/5*k**c + 2/5*k - 6/5.
2*(k + 1)*(4*k - 3)/5
Let v = 1 + 1. Factor 0*c**5 + 59*c - 39*c**3 + 6 + 111*c**v + 12*c**5 - 14*c + 63*c**4 + 162*c**3.
3*(c + 1)**3*(c + 2)*(4*c + 1)
Let m(j) be the third derivative of 3/4*j**3 + 0 - 1/80*j**5 + 0*j - 2*j**2 + 1/32*j**4. Find r, given that m(r) = 0.
-2, 3
Let j be 1 + 9/(-4) - (-1296)/(-192). Let r be (j/12)/(10/(-20)). Factor -2/3*k**4 + r*k**2 + 0*k + 2/3*k**3 + 0.
-2*k**2*(k - 2)*(k + 1)/3
Let m be -2 + -8 + 290/24. Let f(b) be the second derivative of -m*b**4 + 0*b**2 - 5/6*b**3 - b**5 + 11*b + 0. Let f(z) = 0. What is z?
-1, -1/4, 0
Let m(n) = 10*n**3 + 40*n**2 + 10*n. Let j(x) = -x**3 - 2*x**2 - x. Let d(q) = 15*j(q) + m(q). What is t in d(t) = 0?
0, 1
Let x(o) = -9*o**4 - 6*o**3 + 48*o**2 - 63*o + 7. Let v(d) = 4*d**4 + 3*d**3 - 24*d**2 + 31*d - 3. Let t(f) = 14*v(f) + 6*x(f). Factor t(i).
2*i*(i - 2)**2*(i + 7)
Let x(h) be the third derivative of -1/30*h**6 + 0*h - 1/105*h**7 + 1/6*h**4 + 0*h**5 + 1/3*h**3 - 5*h**2 + 0. Let x(a) = 0. Calculate a.
-1, 1
Suppose 6*i - 11 = 13. Factor -6 - 6*k - 8*k**2 - 2*k + 10*k**2 - i*k**2.
-2*(k + 1)*(k + 3)
Let -4*k - k**2 + 8 - 7*k + 0*k**2 - 26 - 8*k = 0. Calculate k.
-18, -1
Let d(l) be the second derivative of l**7/84 - 3*l**6/40 + 11*l**5/80 - l**3/6 + 15*l + 2. Solve d(v) = 0.
-1/2, 0, 1, 2
Factor -112/11 - 36/11*x - 2/11*x**2.
-2*(x + 4)*(x + 14)/11
Let q = -1599/50 + 32. Let u(c) be the second derivative of 5*c + q*c**5 + 1/15*c**4 + 0*c**2 + 0 - 1/15*c**3 - 2/75*c**6. Find f, given that u(f) = 0.
-1, 0, 1/2, 1
Let g(v) be the third derivative of v**8/840 - 6*v**7/175 + v**6/5 + 4*v**5/3 - 3*v**2 - 16*v. Determine x, given that g(x) = 0.
-2, 0, 10
Let h = -26 - -20. Let g be (3*5/(-150))/(1/h). What is l in -6/5*l - 3/5*l**2 + 0 + g*l**3 = 0?
-1, 0, 2
Let d be -10*1/28*24/(-10). Let -4/7*o**2 - 2/7*o**3 + d*o**4 + 0*o + 0 = 0. What is o?
-2/3, 0, 1
Let f = 239/7 + -751/14. Let o = -19 - f. Find y, given that o*y**2 - 1/2*y**3 - 1/2 + 1/2*y = 0.
-1, 1
Let k be 4/3*18/(3 - -3). Solve 2*a + 2*a**k - 5*a**3 + 2 + 2 - 3*a**2 - 3*a**2 + 3*a**3 = 0.
-1, 1, 2
Let l = 54623/68285 + 1/13657. Factor 0*a + 0 + 0*a**2 - l*a**3 + 2/5*a**4 + 2/5*a**5.
2*a**3*(a - 1)*(a + 2)/5
Suppose -4*v + 22 = 5*g - 11, -3*g + 17 = v. Determine h so that 0*h + 0 + 2*h**3 + 4/3*h**v + 2/3*h**4 = 0.
-2, -1, 0
Let t(l) be the second derivative of 0*l**3 + 0*l**4 + 0 + 10*l - 1/16*l**5 + 0*l**2. Let t(a) = 0. Calculate a.
0
Let b(h) be the second derivative of h**5/45 + 7*h**4/36 + h**3/3 - 3*h**2/2 - 22*h - 2. Factor b(p).
(p + 3)**2*(4*p - 3)/9
Suppose -5*z = f + 2, -5*z - 13 + 3 = 5*f. Solve z*h**2 + 3/2*h**5 - 3*h**4 + 3/2*h**3 + 0*h + 0 = 0.
0, 1
Let u(t) be the second derivative of -9*t**5/10 - 10*t**4/3 - 4*t**3/3 + 41*t + 1. Factor u(y).
-2*y*(y + 2)*(9*y + 2)
Factor 72/5 + 2/5*y**2 + 24/5*y.
2*(y + 6)**2/5
Let a be 0 + (48/(-88))/((-4)/11). Factor -a - 95/8*b**2 - 8*b - 25/8*b**3.
-(b + 3)*(5*b + 2)**2/8
Factor -5*r**4 + 5*r**5 + 5*r**2 + r**3 - 7*r**3 - 9*r**3 + 10*r.
5*r*(r - 2)*(r - 1)*(r + 1)**2
Let y = -145 - -145. Let g(k) be the third derivative of 0 + 1/12*k**4 - 4*k**2 + 0*k + 0*k**3 - 1/60*k**6 + y*k**5. Solve g(j) = 0 for j.
-1, 0, 1
Let d be (282*(-25)/(-20475) + 