e 176 + u - 11*u**2 - 168 - 7*u**3 + u**5 + 3*u**4 + 5*u = 0.
-4, -1, 1, 2
Factor 8*v + 21*v**2 - 32*v**2 + 7*v**2.
-4*v*(v - 2)
Let i(t) = t**2 - 21*t + 81. Let m(p) = 2*p**2 - 41*p + 162. Let f be 6*-1 + -3 + 2 + 1. Let r(y) = f*m(y) + 10*i(y). Factor r(b).
-2*(b - 9)**2
Let y(u) be the third derivative of 0*u**3 - 1/350*u**7 + 3/200*u**6 + 0 + 0*u - 6*u**2 - 1/560*u**8 + 1/100*u**5 - 1/20*u**4. Let y(l) = 0. Calculate l.
-2, -1, 0, 1
Let n(f) be the third derivative of f**5/60 + 4*f**4 + 95*f**3/6 - f**2 + 2. Let n(k) = 0. Calculate k.
-95, -1
Let h be (3/((72/32 - 2) + -2))/(-4). Solve h*w**4 - 3/7*w**2 - 2/7*w + 1/7*w**5 + 1/7*w**3 + 0 = 0.
-2, -1, 0, 1
Let a(p) be the second derivative of 1/30*p**4 + 0 + 1/5*p**3 - p + 0*p**2. Find r such that a(r) = 0.
-3, 0
Let s(g) be the first derivative of -22 + g**3 - 30*g - 9/2*g**2. Find f such that s(f) = 0.
-2, 5
Let r(k) be the first derivative of 2058*k**5/5 + 1225*k**4/2 + 364*k**3 + 108*k**2 + 16*k - 350. Solve r(o) = 0 for o.
-1/3, -2/7
Let t(b) be the first derivative of 4*b**5/5 - 6*b**4 + 16*b**3 - 16*b**2 + 316. Solve t(l) = 0.
0, 2
Suppose 4*g - x - 126 = 0, 4*g + 3*x - 38 = 3*g. Suppose 2*b + 28 = g. What is h in -5/4*h**4 + 1/4*h**5 + 7/4*h**3 - 2*h + 1 + 1/4*h**b = 0?
-1, 1, 2
Let t(k) = -4*k**3 - 15*k**2 + 30*k - 14. Let p(g) = -23*g**3 - 89*g**2 + 179*g - 84. Let c(m) = -6*p(m) + 34*t(m). Factor c(s).
2*(s - 1)**2*(s + 14)
Let h(c) be the second derivative of -79*c**6/6 - c**5/2 + 496*c. Determine o, given that h(o) = 0.
-2/79, 0
Let d(l) = -l**3 - 6*l**2 + 7*l + 3. Let w be d(-7). Find a, given that 3*a**2 + w*a**2 + 19*a**3 - 14*a**3 - a**2 = 0.
-1, 0
Let k(f) be the first derivative of -f**3/12 + 3*f**2/8 + 27*f/2 + 457. Solve k(n) = 0 for n.
-6, 9
Let a(r) be the third derivative of 2*r**7/525 - 11*r**6/150 + 7*r**5/15 - 5*r**4/6 + 5*r**2 + 3. Factor a(y).
4*y*(y - 5)**2*(y - 1)/5
Let t(u) be the second derivative of -3*u**5/20 + 5*u**4/6 - 2*u**3/3 - 4*u**2 - 55*u - 1. Determine s so that t(s) = 0.
-2/3, 2
Suppose n = -4, 4*m - 132 = 5*n + 296. Let z be 1/(-3)*m/(-289). Factor 0*a + 0 + 2/17*a**4 + 0*a**2 - z*a**3.
2*a**3*(a - 1)/17
Let y(j) be the first derivative of j**3/2 + 27*j**2/2 + 84*j - 748. Find a, given that y(a) = 0.
-14, -4
Let t(c) be the second derivative of c**6/240 - 101*c**5/160 - 103*c**4/32 - 311*c**3/48 - 13*c**2/2 + 372*c. Find l such that t(l) = 0.
-1, 104
Suppose 2*k + 3*r + 220 = 0, -5*k - 870 = 4*r - 320. Let n = k + 231/2. Suppose 0*m + 0*m**2 + 9/2*m**5 + m**3 + n*m**4 + 0 = 0. What is m?
-1, -2/9, 0
Let z(q) be the second derivative of q**6/180 + q**5/30 - q**4/4 - 4*q**3/3 + 6*q. Let v(d) be the second derivative of z(d). Factor v(f).
2*(f - 1)*(f + 3)
Let u(p) be the first derivative of 2/27*p**3 - 14 - 4/9*p - 1/9*p**2. Factor u(z).
2*(z - 2)*(z + 1)/9
Let m(i) be the third derivative of 0 + i + 0*i**3 + 1/42*i**4 + 1/210*i**5 + 3*i**2. Factor m(d).
2*d*(d + 2)/7
Factor -16128*p - 1268*p**2 + 184*p**2 - 224*p**2 - 6912 - 27*p**3.
-3*(p + 24)**2*(9*p + 4)
Let g(k) be the first derivative of -k**3 + 27*k**2/2 + 30*k - 10. Factor g(z).
-3*(z - 10)*(z + 1)
Suppose -3*z + 21 - 27 = -2*c, -2*c - 10 = -11*z. Determine y, given that 5/2*y**z + 3*y + 1/2 = 0.
-1, -1/5
Let o(r) be the first derivative of r**3 - 624*r**2 + 129792*r + 422. Find x, given that o(x) = 0.
208
Let v = 75 - 59. Let 9*i**4 - 29*i**4 - 46*i**2 + v*i**3 - 144*i - 81 + 11*i**4 + 8*i**4 = 0. Calculate i.
-1, 9
Let i(y) be the third derivative of -y**6/30 - y**5/5 - y**4/3 + 175*y**2. Factor i(o).
-4*o*(o + 1)*(o + 2)
Let d(o) = -o**3 - o**2. Let r = 1 - 0. Suppose -6*n - 49 = -73. Let l(p) = 3*p**3 + 3*p**2. Let u(a) = n*d(a) + r*l(a). Factor u(w).
-w**2*(w + 1)
Factor -2*y**2 + 294*y - 6*y**2 + 3*y**2 - 109*y.
-5*y*(y - 37)
Factor -5/2*r**3 + 35/2*r + 0 - 15*r**2.
-5*r*(r - 1)*(r + 7)/2
Let m be 2 + (-156)/75 - 948/(-600). Let p(v) be the third derivative of 5/4*v**4 - 7*v**2 + 3/20*v**5 + m*v**3 + 0 + 0*v. Factor p(b).
3*(b + 3)*(3*b + 1)
Let p = -14619 + 58477/4. Factor -p*x**2 - 2*x - 4.
-(x + 4)**2/4
Let w(a) be the third derivative of 1/1050*a**7 - 8/15*a**3 + 2/15*a**4 + 31*a**2 + 0 + 0*a**5 - 1/150*a**6 + 0*a. Determine j so that w(j) = 0.
-2, 2
Let b(x) be the first derivative of -4*x**5/115 + 11*x**4/46 - 14*x**3/23 + 16*x**2/23 - 8*x/23 + 31. Suppose b(j) = 0. What is j?
1/2, 1, 2
Let m = 82 - 60. Solve m*v - 8*v + 4 - 9*v - v**3 - 4*v - 4*v**2 = 0.
-4, -1, 1
Let o = 2066 + -8263/4. Factor 0 - o*c**4 - c**2 + c**3 + 0*c.
-c**2*(c - 2)**2/4
Let j(s) be the third derivative of s**7/1120 + s**6/96 + s**5/20 + s**4/8 + 8*s**3/3 + 27*s**2. Let z(y) be the first derivative of j(y). Factor z(n).
3*(n + 1)*(n + 2)**2/4
Let r = -351 + 354. Factor 14/3*c**2 - 2*c**r + 0 - 4/3*c.
-2*c*(c - 2)*(3*c - 1)/3
Let u = 687/14 + -340/7. Solve -2*q**2 - u + 7/4*q + 3/4*q**3 = 0 for q.
2/3, 1
Let f(r) be the third derivative of -3*r**2 - 16/175*r**7 + 4/15*r**3 + 22/75*r**5 - 2/75*r**6 + 0 + 13/30*r**4 - 3/140*r**8 + 0*r. Let f(x) = 0. Calculate x.
-2, -1, -1/3, 1
Let c = -212 - -212. Let g(v) be the third derivative of -1/24*v**3 + 0 + 1/48*v**4 - 1/240*v**6 + 0*v - v**2 + c*v**5 + 1/840*v**7. Factor g(j).
(j - 1)**3*(j + 1)/4
Let u(k) = -2*k**5 - k**4 + k**3 - 2*k**2 + k - 1. Let h(w) = -3*w**5 - 15*w**4 + 12*w**3 + 6*w**2 - 9*w - 3. Let v(s) = h(s) - 3*u(s). Factor v(x).
3*x*(x - 2)**2*(x - 1)*(x + 1)
Let f(s) = 5*s**2 + 9*s. Let p(z) = -1 + 19*z**2 + 53*z + 7 + 11*z**2 - 7. Let i(o) = -39*f(o) + 6*p(o). Factor i(b).
-3*(b + 2)*(5*b + 1)
Let t(r) = r**3 - 3*r**2 + 1. Let b(z) = 25*z**3 - 50*z**2 - 15*z + 20. Let p(l) = b(l) - 20*t(l). Factor p(j).
5*j*(j - 1)*(j + 3)
Let r = -447/4 + 457/4. Factor 1/2*g**3 + 4*g + 2 + r*g**2.
(g + 1)*(g + 2)**2/2
Let a(f) be the third derivative of f**5/16 + 13*f**4/16 + 5*f**3/8 - 63*f**2 + f. Factor a(p).
3*(p + 5)*(5*p + 1)/4
Let z = 141 - 136. Suppose -7 = -z*u + b + 13, 5*u + b = 20. Factor 0*x - 1/2*x**u - 1/6*x**5 - 1/6*x**2 + 0 - 1/2*x**3.
-x**2*(x + 1)**3/6
Let c(s) = -19*s**3 - 105*s**2 - 21*s + 64. Let f(y) = 5*y**3 + 26*y**2 + 6*y - 16. Let a(d) = -4*c(d) - 18*f(d). What is n in a(n) = 0?
-2, 4/7
Suppose 1 = -i + 5. Suppose 4*d - 8 = 2*d. What is y in -y**4 - d*y**2 + 2*y**4 + y**2 + 2*y**i = 0?
-1, 0, 1
Let b(v) be the second derivative of -7*v**5/5 - 11*v**4 + 20*v**3/3 - 419*v - 1. Factor b(s).
-4*s*(s + 5)*(7*s - 2)
Let y(f) be the third derivative of 0*f**3 + 9*f**2 + 0 + 0*f - 2/15*f**6 - 1/3*f**5 - 2/105*f**7 - 1/3*f**4. Factor y(k).
-4*k*(k + 1)**2*(k + 2)
Let h(q) be the first derivative of -4/9*q - 18 - 3*q**3 - 2*q**2. Find b, given that h(b) = 0.
-2/9
Let s = 2/14029 + 28048/70145. Let 0 - s*x + 4/5*x**2 = 0. What is x?
0, 1/2
Let m(r) be the second derivative of -3*r**5/20 - 5*r**4/2 + 13*r**3/2 + 33*r**2 + 341*r. Let m(y) = 0. What is y?
-11, -1, 2
Suppose -227*x - 939*x - 188180 + 418*x - 5*x**2 + 232*x - 1424*x = 0. Calculate x.
-194
Factor 2/5*w**2 + 392/5 + 56/5*w.
2*(w + 14)**2/5
Let d = 5 + -5. Suppose -2*s - 2*j - 2 = -6*s, d = 2*j - 6. Factor v + v**s + 3*v - 2*v.
v*(v + 2)
Let j(n) be the first derivative of 35*n**3/3 + 325*n**2/2 + 90*n - 757. Factor j(t).
5*(t + 9)*(7*t + 2)
Suppose -30 + 60 = 6*j. Let o(w) be the second derivative of -1/2*w**3 + 3/20*w**j + 3/2*w**2 - 1/4*w**4 + 0 - 2*w. Determine i, given that o(i) = 0.
-1, 1
Suppose 3*o - 8 - 19 = 0. Suppose 4*b - 2 - 8*b + 11*b + o*b**2 = 0. What is b?
-1, 2/9
Let j = -244 + 2929/12. Let o(g) be the second derivative of 1/48*g**4 + 0 + 1/8*g**2 + g + j*g**3. Suppose o(n) = 0. What is n?
-1
Suppose -15*r + 1/8*r**2 + 450 = 0. What is r?
60
Let j(c) = c**3 + 5*c**2 - 7*c - 3. Let u be j(-6). Factor -v**3 + 10*v**3 - 2*v**5 - 3*v**5 - 4*v**u.
-5*v**3*(v - 1)*(v + 1)
Suppose 2*r - 5*u + 22 = 41, -5*r + u + 13 = 0. Let d(f) be the second derivative of 0 - 1/8*f**r + f + 0*f**3 + 1/48*f**4. Factor d(g).
(g - 1)*(g + 1)/4
Let g = 11689 - 81819/7. Factor 0*s**3 + 0 + 2/7*s**5 + g*s**2 - 4/7*s**4 - 2/7*s.
2*s*(s - 1)**3*(s + 1)/7
Let b(c) = 2*c**4 + 16*c**3 + 68*c**2 + 51*c - 3. Let z(t) = -10*t**4 - 82*t**3 - 340*t**2 - 254*t + 14. Let v(l) = 14*b(l) + 3*z(l). Factor v(a).
-2*a*(a + 1)*(a + 4)*(a + 6)
Suppose -4*n + 6*j - 9*j = -12, -j = -n + 3. Let m(h) be the first d