. Factor q(r).
3*r**2*(r - 1)/7
Let o(p) be the first derivative of p**5/18 + 13*p**4/36 - 2*p**3/3 - 39*p**2/2 - 5. Let w(m) be the second derivative of o(m). Factor w(k).
2*(k + 3)*(5*k - 2)/3
Let q = 210 - 208. Factor 2/5 - 2/5*l - 4/5*l**q.
-2*(l + 1)*(2*l - 1)/5
Suppose -l = -6*l - 5. Let z be (-4 - -2) + 17 + l. Factor 8*t**4 + 7 - z*t - 26*t**3 - 6*t**2 + 36*t**2 - 5.
2*(t - 1)**3*(4*t - 1)
Determine q, given that -51/8*q - 39/2 - 3/8*q**2 = 0.
-13, -4
Let z(h) = 130*h + 650. Let x be z(-5). Solve 0 + 3/2*r**3 + 3*r**2 + x*r = 0.
-2, 0
Factor -16/3*k - 2/3*k**4 + 8/3*k**2 + 0 + 4/3*k**3.
-2*k*(k - 2)**2*(k + 2)/3
Let x(p) be the second derivative of 133*p**5/200 - p**4/60 - 133*p**3/60 + p**2/10 + 182*p. Factor x(y).
(y - 1)*(y + 1)*(133*y - 2)/10
Let -4/7 + 6/7*i**2 - 2/7*i**4 + 2/7*i**3 - 2/7*i = 0. What is i?
-1, 1, 2
Let m(s) be the first derivative of s**6/2 - 9*s**5/5 + 3*s**4/2 - 160. Let m(n) = 0. What is n?
0, 1, 2
Let o(g) = -g**3 + 9*g**2 - 7*g - 4. Let k be o(8). Factor -2*s**3 - 6*s**2 + 104 - 104 - k*s.
-2*s*(s + 1)*(s + 2)
Suppose 2/9*d**3 - 32/9 + 0*d**2 - 8/3*d = 0. What is d?
-2, 4
Let o(r) = -8*r**3 - 13*r**2 + 13*r. Suppose 0 = 4*l - 3*l + 4. Let s(d) = d**3 + d**2 - d. Let n(x) = l*o(x) - 36*s(x). Suppose n(g) = 0. Calculate g.
0, 2
Let q(x) be the third derivative of 100/3*x**4 + 0*x - 40/3*x**3 + 49/3*x**6 + 0 - 18*x**2 - 42*x**5 + 49/6*x**7. Let q(d) = 0. What is d?
-2, 2/7
Let x = -6429 + 19292/3. What is g in -15 - 35/3*g**2 - 25*g - x*g**3 = 0?
-3, -1
Let j(h) be the first derivative of -245*h**6/6 + 133*h**5 - 150*h**4 + 60*h**3 - 586. Determine l, given that j(l) = 0.
0, 6/7, 1
Solve 18/5*u**4 - 24/5*u**3 + 27/5*u - 12/5 - 3/5*u**5 - 6/5*u**2 = 0.
-1, 1, 4
Let c(x) be the first derivative of -4*x**6/3 + 156*x**5/35 + 11*x**4/7 - 8*x**3/7 - 273. Let c(y) = 0. Calculate y.
-1/2, 0, 2/7, 3
Let v(f) be the third derivative of f**7/42 + 13*f**6/6 - 9*f**5/2 - 65*f**4/6 + 265*f**3/6 + 304*f**2. Suppose v(l) = 0. Calculate l.
-53, -1, 1
Let l = 173/266 - 20/133. Let k(j) be the first derivative of -1/18*j**3 - l*j + 6 + 1/3*j**2. Determine z so that k(z) = 0.
1, 3
Let y(a) be the third derivative of -a**5/15 + 17*a**4/6 - 32*a**3/3 - 6*a**2 + 4*a. Find t, given that y(t) = 0.
1, 16
Let r(m) be the first derivative of -m**8/1512 - 2*m**7/945 - m**6/540 + 5*m**2/2 + 2. Let f(l) be the second derivative of r(l). Find y, given that f(y) = 0.
-1, 0
Let t be 9752/(-90)*3/(-140). Let s = 2/175 + t. Factor -s*h - 2/3*h**2 + 2/3 + 7/3*h**3.
(h - 1)*(h + 1)*(7*h - 2)/3
Let y be 4/(-14) + (-2121)/(-49). Suppose 15 = -14*b + y. Determine z, given that 0*z + 2/11*z**4 - 4/11*z**3 + 0*z**b + 0 = 0.
0, 2
Let p be (0 + 1)*(9 - 9). Let -8*l**2 + 7*l**3 + 5*l**3 + p*l**2 - 4*l**5 = 0. Calculate l.
-2, 0, 1
Let 735*z + z**3 - 729 + 8*z**2 + 45*z**2 - 60*z = 0. What is z?
-27, 1
Let c(t) = t**3 + 7*t**2 + 5*t + 2. Let a be c(-4). Suppose l = a - 25. Suppose 8/7*n**4 + 8/7*n**3 + 2/7*n**l - 4/7 - 10/7*n - 4/7*n**2 = 0. Calculate n.
-2, -1, 1
Suppose -c = -3*b + 17, 0*c - 13 = -3*b + 5*c. What is o in 2*o**2 + 12*o + 0*o**2 - 4*o - b*o**3 + 5*o**3 = 0?
-2, 0, 4
Suppose -2*h - h = -309. Let u = -395 - -397. Factor -3*k**3 + 12*k**3 + 6*k**u + h*k - 106*k.
3*k*(k + 1)*(3*k - 1)
Let a(y) be the first derivative of 2*y - 14 - 1/2*y**4 + 2*y**3 - 3*y**2. Factor a(d).
-2*(d - 1)**3
Determine v, given that -2/9*v**5 - 112/9*v - 22/9*v**4 - 86/9*v**3 - 32/9 - 146/9*v**2 = 0.
-4, -1
Let q be -2 + -3 + 1666/294. What is s in -q*s**2 + 2/3 - 7/3*s + 7/3*s**3 = 0?
-1, 2/7, 1
Suppose -k = -2*k - 3, 3*k + 17 = 4*d. Suppose d*b - 12 = -2*b. Suppose 3*l**4 + 25*l + 3*l**b - 12*l - 13*l = 0. What is l?
-1, 0
Let f be (4384/(-2055))/((-8)/6). Find h such that -f*h + 0 - 2/5*h**3 + 2*h**2 = 0.
0, 1, 4
Let s(z) be the first derivative of 0*z**4 + 0*z**2 + 0*z**3 + 5 + 6*z - 3/20*z**5. Let l(d) be the first derivative of s(d). Let l(j) = 0. Calculate j.
0
Let c(u) = -9*u**2 + 276*u + 10. Let t(r) = 8*r**2 - 276*r - 8. Let o(l) = -4*c(l) - 5*t(l). Factor o(f).
-4*f*(f - 69)
Let p be (-6)/(-33) - (-1950)/165. Let i = -3 - -29/3. Determine d, given that 28/3*d + 8/3 + 4/3*d**4 + p*d**2 + i*d**3 = 0.
-2, -1
Find w such that -4*w**5 - 452*w**2 + w + 214*w**2 + 14 + 20*w**5 + 224*w**4 - 2*w**3 - 15*w**3 = 0.
-14, -1, -1/4, 1/4, 1
Let z = -40/3 + 4801/360. Let x(u) be the third derivative of 3*u**2 - z*u**6 + 0*u**3 - 1/36*u**4 + 0 + 0*u - 1/60*u**5. Solve x(m) = 0.
-2, -1, 0
Factor -2/15*t**2 - 34/5*t + 108/5.
-2*(t - 3)*(t + 54)/15
Let d = -183 + 266. Let r = -81 + d. Let 0*s + 0 + 2/11*s**r = 0. What is s?
0
Let g(r) be the first derivative of r + 1/4*r**2 - 1/6*r**3 + 16. Factor g(b).
-(b - 2)*(b + 1)/2
Suppose 0 = -132*g + 128*g + 140. Let q be (0 - 1)/(2*g/(-20)). Let -10/7*w**2 - q*w + 10/7*w**4 - 6/7*w**3 + 8/7*w**5 + 0 = 0. What is w?
-1, -1/4, 0, 1
Factor 33/7*r - 1/7*r**2 + 0.
-r*(r - 33)/7
Suppose 4*u + y - 525 = 0, 5*y - y + 408 = 3*u. Let z = u + -394/3. Let -8/3*m + 0 - 8/3*m**2 - z*m**3 = 0. Calculate m.
-2, 0
Let n(i) be the third derivative of i**5/80 - i**4/8 + 3*i**3/8 + 10*i**2 + 4*i. Factor n(c).
3*(c - 3)*(c - 1)/4
Let t = 69 + -61. Let w(k) = -k**2 - 14*k - 3. Let o(j) = -2*j**2 - 21*j - 4. Let b(p) = t*w(p) - 5*o(p). Determine u, given that b(u) = 0.
-1/2, 4
Let r = 1/317 + 1263/1585. What is i in r*i**3 + 4/5 - 6/5*i - 6/5*i**2 = 0?
-1, 1/2, 2
Let b(x) be the third derivative of -x**6/90 - x**5/45 + 2*x**4/9 + 8*x**3/9 + 151*x**2. Find y, given that b(y) = 0.
-2, -1, 2
Let p = 26/15 + -4/3. Let a(z) be the first derivative of 0*z**4 - 2/5*z**2 - 2/25*z**5 + 0*z + 2 + p*z**3. Factor a(b).
-2*b*(b - 1)**2*(b + 2)/5
Let i(g) be the second derivative of g**6/225 - 17*g**5/150 + 13*g**4/15 - 32*g**3/45 - 128*g**2/15 + 20*g. Solve i(t) = 0.
-1, 2, 8
Let a(d) = -2*d**2 - 84*d + 10. Let g(o) = 9*o**2 + 336*o - 42. Let m(u) = 21*a(u) + 5*g(u). Suppose m(b) = 0. Calculate b.
0, 28
Let s(z) be the second derivative of z**5/12 + 5*z**4/12 + 5*z**3/6 - 13*z**2/2 - 25*z. Let b(p) be the first derivative of s(p). Suppose b(h) = 0. Calculate h.
-1
Let n(l) be the first derivative of -l**3 - 912*l**2 - 277248*l + 265. Suppose n(r) = 0. Calculate r.
-304
Let g(r) be the third derivative of r**6/480 + 7*r**5/240 - 3*r**4/16 - 25*r**2. Suppose g(x) = 0. What is x?
-9, 0, 2
Determine i, given that -4*i - 10/3 + 2/3*i**4 + 8/3*i**2 + 4*i**3 = 0.
-5, -1, 1
Suppose -8 - 2 = -5*h. Let d = 40 + -34. Factor z**3 - 19*z + 19*z + z**3 - d*z**h.
2*z**2*(z - 3)
Suppose -12*h + 7*h - 2*x + 40 = 0, 2*h - 2*x - 2 = 0. Let p(r) be the second derivative of -9/20*r**5 - 3*r**2 + 0 + r**4 + 1/2*r**3 + h*r. Factor p(v).
-3*(v - 1)**2*(3*v + 2)
Factor -16/5*q**2 + 0 - 2/5*q**3 - 32/5*q.
-2*q*(q + 4)**2/5
Let n(l) be the third derivative of l**7/42 - 17*l**6/24 - 18*l**2 + 1. Let n(p) = 0. Calculate p.
0, 17
Determine h, given that 6/7*h - 6/7*h**3 + 0*h**2 + 0 = 0.
-1, 0, 1
Suppose 107*g = 43*g + 128. Let t(a) be the second derivative of -5*a + 1/20*a**5 - a**g - 1/30*a**6 - 1/6*a**3 + 1/4*a**4 + 0. Factor t(n).
-(n - 2)*(n - 1)*(n + 1)**2
Let x be (0 - (-28)/147)/(14/49). Determine c so that x*c**3 - 2/3*c**2 - 2/3*c + 2/3 = 0.
-1, 1
Suppose 143 + 351*t + 113 + 16 + 3*t**2 + 76 = 0. Calculate t.
-116, -1
Let n(k) = -k**3 - 15*k**2 + 5*k - 10. Let w(r) = -5*r**2 + 2*r - 3. Suppose 4*b - 3 - 25 = 0. Let p(g) = b*w(g) - 2*n(g). Factor p(q).
(q - 1)**2*(2*q - 1)
Let c(w) be the second derivative of 3*w**6/40 - w**5/5 + w**4/8 - 3*w**2/2 + 10*w. Let z(h) be the first derivative of c(h). Factor z(s).
3*s*(s - 1)*(3*s - 1)
Let r be (-2)/(-3)*156/8. Let x(b) = b**2 - 13*b + 18. Let q be x(r). Factor -6*s + 3*s + 11*s**2 + q*s**3 - 2*s**2 - 6*s**3.
3*s*(s + 1)*(4*s - 1)
Let x(o) = 10 - 2*o - o - 21. Let h be x(-5). Factor -3*t**h - 5*t**3 + 3*t**2 - 40*t + 43*t + 2*t**3.
-3*t*(t - 1)*(t + 1)**2
Let b(s) be the first derivative of 2*s**5/5 + 5*s**4/2 - 12*s**3 - 20*s**2 + 112*s - 759. Factor b(v).
2*(v - 2)**2*(v + 2)*(v + 7)
Let v(f) = 17*f**2 - 156*f + 10. Let l(b) = 7*b**2 - 77*b + 4. Let x(n) = -10*l(n) + 4*v(n). Factor x(w).
-2*w*(w - 73)
Find d, given that -35/3*d - 5/6*d**2 - 245/6 = 0.
-7
Factor -12/5*x**2 + 0 + 0*x - 16/5*x**3 - 4/5*x**4.
-4*x**2*(x + 1)*(x + 3)/5
Let i(v)