**2/6 + 6*x - 147. Find m such that c(m) = 0.
-18, -1
Let h(s) be the first derivative of -s**4/24 - 2*s**3/9 + 5*s**2/3 + 8*s + 135. Factor h(x).
-(x - 4)*(x + 2)*(x + 6)/6
Factor 0 + 3/7*t**2 - 9*t.
3*t*(t - 21)/7
Let r(j) be the third derivative of -j**5/60 + 5*j**4/24 + j**3 + j**2 + 3. Factor r(y).
-(y - 6)*(y + 1)
Let i = -14 - -6. Let z = i + 8. Suppose 4/11*g + 2/11*g**2 + z = 0. Calculate g.
-2, 0
Factor 339 + 6*q - 671 + 335 - 9*q**2.
-3*(q - 1)*(3*q + 1)
Suppose d - o + 13 = 0, 3*d + 28 = -5*o - 11. Let g = d + 17. Factor 5*n**3 + 7*n**3 - n**2 + 5*n**2 + g*n**5 + 12*n**4.
4*n**2*(n + 1)**3
Let g(c) = c**2 + c. Let n be g(0). Let w(p) be the third derivative of -1/20*p**5 + 0*p + 1/210*p**7 + 0 - 8*p**2 + 1/12*p**4 + n*p**3 + 0*p**6. Factor w(d).
d*(d - 1)**2*(d + 2)
Let c(a) = 2*a + 5*a + a**2 + 0*a**2 + 3. Let q be c(-7). Factor 6*h**3 + 0*h**q - 2*h**3 - 4*h**2.
4*h**2*(h - 1)
Let l(s) be the second derivative of s**4/6 + s**3 + s - 38. Factor l(p).
2*p*(p + 3)
Let l = -146 - -146. Let v(n) be the third derivative of 0*n**3 + 0*n**5 - 1/336*n**8 + 1/630*n**7 + 0 + l*n - n**2 + 0*n**4 + 1/180*n**6. Factor v(k).
-k**3*(k - 1)*(3*k + 2)/3
Let y = 343 - 343. Let z(d) be the second derivative of -1/24*d**4 + y - 6*d + 1/12*d**3 + 1/4*d**2 - 1/40*d**5. Factor z(a).
-(a - 1)*(a + 1)**2/2
Let d = -19209/1015 + 66/203. Let o = -17 - d. Determine l so that -2/5*l**5 + 2*l**4 - 16/5*l**3 + 0 + 0*l + o*l**2 = 0.
0, 1, 2
Let l(s) be the first derivative of 3*s**5/35 - 9*s**4/14 - 9*s**3/7 + 3*s**2 - 29. Factor l(p).
3*p*(p - 7)*(p - 1)*(p + 2)/7
Suppose -o - 12 = -2*l + 10, -53 = -5*l + 2*o. Suppose -3*a + l = -6. Determine v so that -4*v**3 - 4*v**3 + v**a + 2*v**3 + 5*v**3 = 0.
-1, 0, 1
Suppose -2*z + 4 = -0. Suppose -5*d = -z*n + 16, -4*n - 2*d + 1 + 7 = 0. Factor -28*r - 36*r**2 - 17*r**3 + 80*r**4 - 84*r**4 - 8 - n*r**3.
-4*(r + 1)**3*(r + 2)
Suppose 6/7*v**2 - 2/7*v**4 - 2/7*v - 4/7 + 2/7*v**3 = 0. Calculate v.
-1, 1, 2
Let k be 768/144 - (1 + -2 + (3 - -3)). Factor -1/6*g**5 + 2/3*g**4 - 5/6*g**3 + k*g**2 + 0*g + 0.
-g**2*(g - 2)*(g - 1)**2/6
Let q(x) be the second derivative of x**10/10080 - x**9/1008 + x**8/320 - x**7/280 - 7*x**4/12 - 11*x. Let k(u) be the third derivative of q(u). Factor k(o).
3*o**2*(o - 3)*(o - 1)**2
Let n(f) be the first derivative of f**4/14 - 8*f**3/7 + 29*f**2/7 + 12*f + 334. Factor n(r).
2*(r - 7)*(r - 6)*(r + 1)/7
Let s(w) be the second derivative of -155*w**4 - 4*w**3/3 + 198*w. Factor s(k).
-4*k*(465*k + 2)
Let i(x) be the second derivative of -x**5/45 - 7*x**4/27 - 10*x**3/9 - 2*x**2 - 146*x. Factor i(y).
-4*(y + 1)*(y + 3)**2/9
Suppose -9/4 + 1/4*z**2 - 2*z = 0. What is z?
-1, 9
Determine s, given that -6*s**3 + 12*s**2 - 110*s - 112*s + s**4 + 214*s = 0.
0, 2
Let n be (5/65)/((-13)/(-182)). Factor -8/13 - n*s**4 + 32/13*s + 2/13*s**5 + 38/13*s**3 - 50/13*s**2.
2*(s - 2)**2*(s - 1)**3/13
Determine u, given that -32*u**3 + 92/3*u**2 - 2/3*u**5 + 12*u**4 + 0 - 10*u = 0.
0, 1, 15
Let m = 209 - 203. Let s(c) be the first derivative of -m - 2/3*c**3 + c + 1/2*c**2. Factor s(z).
-(z - 1)*(2*z + 1)
Let v(x) be the third derivative of x**5/180 + 5*x**4/36 + 4*x**3/3 + 102*x**2. Suppose v(y) = 0. Calculate y.
-6, -4
Let a(w) be the third derivative of -w**6/80 + 3*w**5/10 + w**4/16 - 3*w**3 - 147*w**2. Factor a(t).
-3*(t - 12)*(t - 1)*(t + 1)/2
Let u(z) = -z**2 - 9*z - 10. Let h be u(-7). Factor 27*a**2 - 3*a**4 + h*a**4 + 3*a - 6 - 6*a + 14*a**4 + 39*a**3.
3*(a + 1)**3*(5*a - 2)
Let t be -14 + 0 + (-9280)/(-638). Solve -t*o**2 + 2/11*o + 6/11 - 2/11*o**3 = 0.
-3, -1, 1
Let h(k) = -k**3 - 3*k**2 - 5*k - 3. Let i be h(-2). Factor -64*l**4 - l + 13*l**4 + 18*l**i + l + 15*l**5.
3*l**3*(l - 3)*(5*l - 2)
Suppose 6*h + 12 = 10*h. Suppose 48 - 6*v**3 - h*v**4 + v**3 - 7*v**3 + 48*v = 0. What is v?
-2, 2
Suppose 0 = -5*z + 3*u + 45, 10*u + 47 + 44 = -3*z. Suppose 2*v = -2*a - 1 + 11, 8 = -2*a + 4*v. Let 1/2*g**z + 27/2*g + 27/2 + 9/2*g**a = 0. What is g?
-3
Let l(t) = -t**3 - 8*t**2 - 7*t + 6. Let x be l(-7). Determine a so that 1037*a + 11*a**3 - 537*a - x*a**3 + 100*a**2 = 0.
-10, 0
Let v(p) be the first derivative of 4/19*p**2 - 2/57*p**3 - 6/19*p - 15. Factor v(q).
-2*(q - 3)*(q - 1)/19
Let r(k) be the first derivative of -k**4/26 + 12*k**3/13 - 41*k**2/13 - 120*k/13 + 190. Factor r(m).
-2*(m - 15)*(m - 4)*(m + 1)/13
Let s = -36 - -8. Let x be (1 + s/35)/(3/10). Factor -1/3*a**3 - 5/3*a + x + 4/3*a**2.
-(a - 2)*(a - 1)**2/3
Let q(j) = 2*j**3 - 7*j**2 - 4*j + 5. Let f be q(4). Factor 3*l**3 - f*l**3 + 2*l + 0*l**3.
-2*l*(l - 1)*(l + 1)
Suppose 5*y - 23 = g, 0*g + 3*g = -y + 11. Factor -y*l + 16*l**2 - 52 - 20 - 7*l + 4*l**3.
4*(l - 2)*(l + 3)**2
Factor -2298*r**2 - 2*r**4 - 6*r**3 + 2308*r**2 - 1 + 6*r - 4 - 3.
-2*(r - 1)**2*(r + 1)*(r + 4)
Suppose 15*q - 215 = 10*q. Let x = 43 - q. Factor 1/4*a**2 + 1/4*a**4 - 1/2*a**3 + 0*a + x.
a**2*(a - 1)**2/4
Let y = 190 + -185. Let t(x) be the third derivative of -2/105*x**6 + x**2 + 0 + 0*x**3 + 0*x - 1/21*x**4 + 1/21*x**y + 2/735*x**7. Factor t(n).
4*n*(n - 2)*(n - 1)**2/7
Suppose 2*l + 2*d - 8 = 0, 3*d + 3 = -2*l + 13. Let y be (1 - 4) + (-162)/(-45). Find m such that 0*m - 3/5*m**l + y = 0.
-1, 1
Let b(m) be the second derivative of -2*m**6/45 + 7*m**5/15 - 14*m**4/9 + 16*m**3/9 + 21*m. Suppose b(v) = 0. Calculate v.
0, 1, 2, 4
Let t(k) be the first derivative of -k**4/66 - k**3/33 + 6*k + 1. Let u(p) be the first derivative of t(p). Factor u(x).
-2*x*(x + 1)/11
Suppose -2*t + 3*p = -t - 10, -5*t - p = -2. Let x be (-5)/(-20) + (-15)/12 + t. Factor 0 + 3/7*g**5 + 3/7*g + 0*g**4 - 6/7*g**3 + x*g**2.
3*g*(g - 1)**2*(g + 1)**2/7
Let k(p) be the third derivative of -p**9/4536 + p**8/2520 + p**7/1260 - p**6/540 + 4*p**3/3 - 13*p**2. Let h(w) be the first derivative of k(w). Factor h(y).
-2*y**2*(y - 1)**2*(y + 1)/3
Let u(h) = -h + 9. Let p be u(7). Suppose p*t + 8 = 6*t. Solve 4*z**2 + z + 0*z - 3*z**2 + 0*z**t - 2 = 0.
-2, 1
Let t(u) be the second derivative of 7*u + 0 - 5/12*u**4 + 5/2*u**2 + 0*u**3. Determine v, given that t(v) = 0.
-1, 1
Let j(h) be the third derivative of h**6/1800 + h**5/300 - 2*h**3/3 - 10*h**2. Let t(c) be the first derivative of j(c). Factor t(b).
b*(b + 2)/5
Let n(z) be the first derivative of -2*z**7/105 + 4*z**5/15 - 2*z**2 + 21. Let p(y) be the second derivative of n(y). Factor p(d).
-4*d**2*(d - 2)*(d + 2)
Suppose 0*m - 3*m - 15 = 0. Let i = m + 8. Factor i*k**2 + 0*k**3 + k**3 + k**2 - 3*k**3 + 6*k.
-2*k*(k - 3)*(k + 1)
Let g(b) = 5*b**2 + b + 1. Let r be g(-1). Suppose -1 = 2*l - r. Factor -k**2 - 2 + 1 - 3*k**2 + 5*k**l.
(k - 1)*(k + 1)
Determine m so that 1/3*m**3 + 0 + 4/3*m**2 + m = 0.
-3, -1, 0
Let z = -59474/5 - -11896. Solve -z*h + 1/5*h**2 + 1 = 0 for h.
1, 5
Suppose 4 + h**4 - 2114*h**2 - 4 + 54*h + 2087*h**2 + 0*h**4 = 0. Calculate h.
-6, 0, 3
Factor -15*h - 19 - 50*h**2 - 38*h - 43 + 5*h**3 + 172 - 12*h.
5*(h - 11)*(h - 1)*(h + 2)
Let a(l) be the third derivative of l**5/690 - 4*l**4/23 + 192*l**3/23 + 9*l**2. Factor a(i).
2*(i - 24)**2/23
Let u(i) = -9*i**2 + i. Let y(t) = -24*t**2 + 105*t. Let a(h) = -3*u(h) + y(h). Suppose a(l) = 0. What is l?
-34, 0
Let l(d) = -d**4 + 11*d**3 + 9*d**2 - 15*d - 10. Let y(p) = -p**4 - p**3 - p**2 - p + 1. Let i(x) = 3*l(x) - 6*y(x). Find h such that i(h) = 0.
-12, -1, 1
Let k be (51/17)/((-12)/(-18) + 82/12). Factor 8/5*g + k*g**2 + 8/5.
2*(g + 2)**2/5
Let i = 29 + -27. Suppose d = 5*l + 4*d - 18, l - 5*d = -i. Factor 7*w**2 + 10*w**2 - 17*w**2 - 20*w**l + 5*w**5.
5*w**3*(w - 2)*(w + 2)
Suppose 0 = 4*r + 8. Let f be (-14)/(-24) + (-2)/(-12)*r. Factor 0 - f*x - 1/4*x**3 - 1/2*x**2.
-x*(x + 1)**2/4
Factor 16 + 6*b**2 - 14 + 3 + 20*b + 11 - 2*b**2.
4*(b + 1)*(b + 4)
Let w(a) be the second derivative of -3*a**5/16 + 17*a**4/32 - a**3/4 - 9*a**2/2 - 8*a. Let b(d) be the first derivative of w(d). Factor b(p).
-3*(p - 1)*(15*p - 2)/4
Factor 298*i - 530*i + 3*i**2 - 17 - 43 + 289*i.
3*(i - 1)*(i + 20)
Let a be (-5872)/(-26) + (-4)/(-26). Suppose 5*u = 3*u + a. Let -3*x**4 - 3*x**2 - 6*x**3 - u + 113 = 0. Calculate x.
-1, 0
Let b(p) be the first derivative of 3*p**4/16 - 15*p**3/4 + 57*p**2/4 - 18*p - 202. Factor b(d).
3*(d - 12)*(d - 2)*(d - 1)/4
Let f(g) be the second derivative of -6*g**2 - 13/4*g**