**3 + 0*m + 0*m**4 + 3*m**2. Factor t(d).
(d - 1)*(d + 2)**2/4
Let x(i) = -i**2 - 13*i - 5. Let l be x(-12). Factor -3*r**4 + 20*r**2 - 12*r + 12*r**3 - 16*r**2 - 8 + l*r**4.
4*(r - 1)*(r + 1)**2*(r + 2)
Let m(j) be the third derivative of 7*j**6/660 - 8*j**5/165 + j**4/33 + 3*j**2 + 45. Factor m(q).
2*q*(q - 2)*(7*q - 2)/11
Let m(w) be the first derivative of -11*w**6/90 - w**5/5 + w**4/9 + 6*w**2 + 16. Let n(y) be the second derivative of m(y). Factor n(g).
-4*g*(g + 1)*(11*g - 2)/3
Let d(f) = -2*f + 25. Let g be d(11). Let -7 - 3 + l**3 - 5*l + g*l**2 - l**4 + 12 = 0. Calculate l.
-2, 1
Suppose 2*p - 30 = -3*p. Let o = -13 - -16. Let 6*b - p*b**2 - b - 2 + 2*b**o + b = 0. Calculate b.
1
Let g(q) be the second derivative of q**8/36960 - q**7/13860 - q**6/1980 + q**4/12 + 33*q. Let s(y) be the third derivative of g(y). Factor s(u).
2*u*(u - 2)*(u + 1)/11
Suppose 12/5*l**2 + 32/15 - 2/15*l**3 - 22/5*l = 0. What is l?
1, 16
Let n be 1/3 - (-63)/(-14)*-2. Factor -64/3*z - 4/3*z**5 - n*z**4 - 100/3*z**2 - 16/3 - 76/3*z**3.
-4*(z + 1)**3*(z + 2)**2/3
Let n be 35/14 - (-1)/(-4)*-2. Let h(g) = -g + 14. Let t be h(7). Find d such that -n*d - 2*d + t*d + 7*d**4 + 3*d**3 + 0*d**3 - 5*d**5 - 7*d**2 = 0.
-1, 0, 2/5, 1
Let h(z) = z**2. Let d(p) = p**3 - 45*p**2 + 53*p. Let b(l) = 4*d(l) - 36*h(l). Factor b(x).
4*x*(x - 53)*(x - 1)
Suppose 0 = 4*t - 4132 - 1932. Let -t*y**3 + 0 + 4*y + 1522*y**3 + 0 - 10*y**2 + 2*y**4 - 2*y**5 = 0. What is y?
-2, 0, 1
Let l = 65 + -62. Let s(z) = z + 2. Let g be s(0). Factor -4*d**3 + 0*d**3 + 5*d**g - 2*d**2 + d**l.
-3*d**2*(d - 1)
Let d(b) be the first derivative of b**4/3 - 16*b**3/9 + 2*b**2 - 16. Determine x, given that d(x) = 0.
0, 1, 3
Suppose 1704 = -13*v - 28*v + 1786. Factor 0*b**v + 0*b + 0 + 1/3*b**5 - b**4 + 2/3*b**3.
b**3*(b - 2)*(b - 1)/3
Determine u so that 4 - 3/5*u**2 - 1/10*u**4 - 7/10*u**3 + 14/5*u = 0.
-5, -2, 2
Let g(z) be the first derivative of -z**6/240 + z**5/40 - z**3/3 - 43. Let j(m) be the third derivative of g(m). Factor j(p).
-3*p*(p - 2)/2
Let x(d) = -d**2 - 17*d - 39. Let f be x(-14). Suppose 45 = f*j + 12*j. Find p such that 4/3 + 20/3*p**j + 7*p**2 - 20/3*p - 25/3*p**4 = 0.
-1, 2/5, 1
Let b = -35954 + 35954. Factor 1/2*r**4 + b + 3*r**3 + 2*r + 9/2*r**2.
r*(r + 1)**2*(r + 4)/2
Let q(c) = -2*c**4 - 24*c**3 - 24*c**2 + 91*c + 99. Let t(u) = -2*u**3 + u + 1. Let f(z) = q(z) - 3*t(z). Let f(r) = 0. What is r?
-6, -4, -1, 2
Solve 2/5*s + 0 + 3/5*s**2 + 1/5*s**3 = 0.
-2, -1, 0
Suppose 5*g - 2 = 8. Solve 2*h + 3*h - 6*h + 4*h**g - 7*h = 0.
0, 2
Let v(k) = -2*k**5 - 14*k**4 + 40*k**3 - 20*k**2 - 44*k + 34. Let o(g) = -g**4 - g + 1. Let c(i) = 6*o(i) - v(i). Suppose c(r) = 0. What is r?
-7, -1, 1, 2
Let g(a) be the first derivative of 4*a**6/3 + 4*a**5/5 - 13*a**4 - 8*a**3/3 + 40*a**2 - 32*a + 268. Solve g(c) = 0.
-2, 1/2, 1, 2
Let b be (-4*(-3)/72)/(0 + 4). Let t(k) be the second derivative of -b*k**4 + 0 - 1/24*k**3 - 1/80*k**5 + 0*k**2 - 6*k. Solve t(f) = 0 for f.
-1, 0
Let y = 4 + 0. Let f be 1 + (-4)/y + 4. Solve -2*j**3 + j**4 + 3*j**3 + 3*j - 4*j + j**2 - 2*j**f = 0 for j.
-1, 0, 1
Let x be 92/22 + 10/(-55). Suppose r - j - 16 = -0, x*r + j = 44. Solve -13*d**3 + 9*d**3 - 2*d**4 + 4*d**2 + r*d**3 + 13*d - 37*d - 18 = 0 for d.
-1, 3
Let m = 198/17 - 741/68. Let p(x) be the first derivative of 3 - m*x**2 + 0*x - 3/2*x**3. Suppose p(n) = 0. Calculate n.
-1/3, 0
Let u = 22 - 19. Factor 0*w**3 - 2*w + w**2 + 14*w**u - 5*w**3 - 8*w**3.
w*(w - 1)*(w + 2)
Let z(b) = -2*b - 16. Let p be z(-9). Let 298*n**p - 298*n**2 + 3*n**4 = 0. Calculate n.
0
Let q(i) = -i**3 - 14*i**2 + 5*i + 73. Let d be q(-14). Suppose 4/11*o**4 - 2/11*o**5 + 0 + 0*o**d - 4/11*o**2 + 2/11*o = 0. What is o?
-1, 0, 1
Let g(c) be the first derivative of c**5/40 - 5*c**4/16 + c**3 + 3*c**2 - 34. Let i(l) be the second derivative of g(l). Factor i(d).
3*(d - 4)*(d - 1)/2
Suppose x - 4 = -x. Let z be 0/4 + (x - 0). Factor 5*r + z*r**2 - 5*r + r**2 - 3.
3*(r - 1)*(r + 1)
Let y(l) be the first derivative of 2/3*l**4 + 8/3*l - 8/15*l**5 - 2/9*l**6 + 14/3*l**2 + 32/9*l**3 - 3. Factor y(i).
-4*(i - 2)*(i + 1)**4/3
Factor 4/3*d**2 - 116/3 + 230/3*d.
2*(d + 58)*(2*d - 1)/3
Let b(r) be the first derivative of r**9/2016 + 3*r**8/1120 + 3*r**7/560 + r**6/240 - 5*r**3/3 + 1. Let d(s) be the third derivative of b(s). Factor d(u).
3*u**2*(u + 1)**3/2
Let p be (-53 + -5 + 4)/(74 + -78). Factor 24*m - 3/2*m**4 + 0 + p*m**3 - 36*m**2.
-3*m*(m - 4)**2*(m - 1)/2
Let o be 1241*(106/(-182) - 2/(-13)). Let x = 533 + o. Factor 0 - 8/7*t**2 + 0*t + x*t**3 - 2/7*t**4.
-2*t**2*(t - 2)**2/7
Let p(y) be the second derivative of y**7/420 - y**6/90 + y**5/60 - 10*y**3/3 - 2*y. Let h(g) be the second derivative of p(g). Factor h(d).
2*d*(d - 1)**2
Let s(x) be the first derivative of x**4/12 + x**3/6 - x**2 - 6*x - 10. Let j(i) be the first derivative of s(i). Suppose j(p) = 0. Calculate p.
-2, 1
Suppose -26*s**2 + 46*s**2 + 36*s - 19*s**2 - s = 0. Calculate s.
-35, 0
Let c be (-70)/(-60)*(-16)/(-14). Let g(y) be the first derivative of 1/6*y**4 + 3*y**2 + 0*y + 2 - c*y**3. Find p such that g(p) = 0.
0, 3
Let x be 0 - ((-7)/14 - 0). Let 1/4 + 1/4*y**2 + x*y = 0. What is y?
-1
Let g(j) = -5*j**2 + 4*j + 1. Let b(a) be the first derivative of a**3/3 + a - 12. Let w(z) = -12*b(z) - 3*g(z). Factor w(m).
3*(m - 5)*(m + 1)
Let h(r) be the second derivative of -r**4/24 + 5*r**3/12 - r**2 + 2*r + 56. Factor h(w).
-(w - 4)*(w - 1)/2
Factor -78*k + 29 + 2*k**2 + 19 + 128*k - 72*k.
2*(k - 8)*(k - 3)
Solve 0*s - 11532/7*s**3 - 1/7*s**5 + 0 - 186/7*s**4 - 238328/7*s**2 = 0.
-62, 0
Let g(f) be the third derivative of f**7/840 + f**6/120 + f**5/40 + 2*f**4/3 + 5*f**2. Let u(j) be the second derivative of g(j). Factor u(z).
3*(z + 1)**2
Let d(t) be the third derivative of t**5/15 - 8*t**4/3 + 128*t**3/3 + 5*t**2 - 5*t. Factor d(q).
4*(q - 8)**2
Let g = 29882 + -328698/11. Suppose 4*w - 19 - 1 = 0. Let 2/11*r + 0 + 0*r**3 + g*r**4 - 4/11*r**2 - 2/11*r**w = 0. What is r?
-1, 0, 1
Let i be 6 + (-3 + 3 - 0). Let n be 22/(-3)*(-9)/i. Suppose 12*b**2 + b**3 + b**4 - n*b**2 + b**3 = 0. Calculate b.
-1, 0
Suppose 2*d**3 + 30*d - 87*d**2 - 100*d**2 + 155*d**2 = 0. Calculate d.
0, 1, 15
Let p(s) be the first derivative of 7/4*s**3 - 3/20*s**5 + 3/2*s**2 + 21 + 3/8*s**4 + 0*s. Factor p(o).
-3*o*(o - 4)*(o + 1)**2/4
Suppose -6*h = -24*h - 10*h. Let x(c) be the third derivative of h*c**3 + 0 + 0*c - 1/42*c**4 - c**2 + 1/105*c**5. Find w, given that x(w) = 0.
0, 1
Let k = -1797 - -16175/9. Determine f so that 2/9*f**2 + 0 + 0*f + k*f**3 = 0.
-1, 0
Let y(r) be the first derivative of 37 + 1/9*r**3 + 2/15*r**5 - 1/36*r**6 + 0*r**2 + 0*r - 5/24*r**4. Suppose y(j) = 0. Calculate j.
0, 1, 2
Let c(a) = a**2 - 2*a - 22. Let w be c(-3). Let r be (-11 - -10) + (-10)/w. Factor -12/7*k - 9/7*k**2 + 0 + r*k**3.
3*k*(k - 4)*(k + 1)/7
Let g(x) be the first derivative of x**4/12 + 4*x**3/3 + 16*x**2/3 + 123. Determine r so that g(r) = 0.
-8, -4, 0
Suppose 4*u - 144 - 92 = 0. Factor 20 - u*s + 5*s**3 + 59*s - 15*s**2.
5*(s - 2)**2*(s + 1)
Factor 2/5*f**2 - 4/5*f - 6.
2*(f - 5)*(f + 3)/5
Let v(h) be the second derivative of 15/28*h**5 + 14*h + 12/7*h**2 - 18/7*h**3 + 0 + 15/14*h**4. Find l, given that v(l) = 0.
-2, 2/5
Let h(r) be the second derivative of r**2 - 1/2*r**3 - 1/30*r**6 + 22*r + 0 + 3/20*r**5 - 1/12*r**4. Find g such that h(g) = 0.
-1, 1, 2
Let w = -103957 - -103963. Let o be (2/6)/((-2)/(-4)). Determine m so that -4*m - w - o*m**2 = 0.
-3
Let x(o) be the third derivative of 2/15*o**7 + 0*o**4 + 3/10*o**6 + 0*o + 0 + 10*o**2 + 2/15*o**5 + 0*o**3. Factor x(s).
4*s**2*(s + 1)*(7*s + 2)
Factor -113*a**2 + 2592 - 52*a**3 - 112*a - 4*a**4 - 375*a + 55*a + 112*a**3 - 103*a**2.
-4*(a - 6)**3*(a + 3)
Suppose -5*m - 2*m + 1008 = 0. Find n such that -25 + 19*n - n**2 - m + 7*n = 0.
13
Let m(i) be the first derivative of -3*i**5/5 - 6*i**4 - 23*i**3 - 42*i**2 - 36*i + 33. Factor m(d).
-3*(d + 1)*(d + 2)**2*(d + 3)
Suppose 2*d - 11 = 3*j - 8*j, 4*d + 4*j = 16. Suppose -11 = -7*w + d. Factor 4/5 - 2/5*y**3 - 4/5*y**w + 2/5*y.
-2*(y - 1)*(y + 1)*(y + 2)/5
Let o(m) = 2*m**2 - 16*m + 24. Let s be o(2). Factor 2/15*g**5 + s*g**2 + 2/15*g**3 - 4/15*g**4 + 0*g + 0.
2*g**3*(g - 1)**2/15
Let k(j) = -3*j + j - 8 