*3/2 - 63*y**2 - 2*y. Find w, given that n(w) = 0.
1, 2, 21
Let a(m) be the first derivative of 2*m**5/5 - 46*m**4 + 4232*m**3/3 - 152. Let a(y) = 0. What is y?
0, 46
Let o(v) = 4*v**3 - 886*v**2 + 62175*v - 1492992. Let m(x) = -x**3 + 222*x**2 - 15543*x + 373248. Let h(a) = 22*m(a) + 6*o(a). Factor h(c).
2*(c - 72)**3
Let x(k) be the second derivative of -5*k**7/42 + 13*k**6/6 + k**5/2 - 65*k**4/6 - 5*k**3/6 + 65*k**2/2 - 64*k + 2. Solve x(t) = 0 for t.
-1, 1, 13
Let d(m) be the third derivative of -2/9*m**4 + 1/90*m**5 - m**3 + 0 + 0*m - 17*m**2. Factor d(r).
2*(r - 9)*(r + 1)/3
Let w = -36661/6 + 6131. Factor -1/6*b**3 - 5/2*b**2 - w - 25/2*b.
-(b + 5)**3/6
Let c(p) be the second derivative of p**5/160 - p**4/32 - p**3/12 - 16*p + 3. Factor c(a).
a*(a - 4)*(a + 1)/8
What is f in 4/5*f**2 - 24/5*f + 36/5 = 0?
3
Let y(q) be the first derivative of -8*q**6/15 + 28*q**5/25 - 2*q**4/5 - 4*q**3/15 - 4. Factor y(i).
-4*i**2*(i - 1)**2*(4*i + 1)/5
Let c(k) be the second derivative of -k**9/90720 + k**8/40320 - k**4/4 + 11*k. Let i(f) be the third derivative of c(f). Determine h, given that i(h) = 0.
0, 1
Let a(y) be the second derivative of y**4/42 - y**3/21 - 6*y**2/7 - 5*y + 28. Factor a(h).
2*(h - 3)*(h + 2)/7
Let t be 1794/1035*(-12)/(-39). Suppose t*m**2 + 4/15 - 6/5*m = 0. Calculate m.
1/4, 2
Let p = 2/6277 + 6273/12554. Suppose -p*j + 1/4*j**2 + 0 = 0. Calculate j.
0, 2
Suppose -17 = -5*n - 2. Suppose -7 - 2 = -n*b. Factor -3*q**2 - 6*q + b*q + 2*q - 2*q.
-3*q*(q + 1)
Let o(d) be the first derivative of 27 + 2*d**3 - 2*d**2 + 1/5*d**5 + d - d**4. Suppose o(n) = 0. What is n?
1
Let t(k) be the second derivative of 2*k**7/21 + 2*k**6/15 - 6*k**5 + 76*k**4/3 - 112*k**3/3 + 85*k. Determine x, given that t(x) = 0.
-7, 0, 2
Let n = -44 + 47. Factor n*b**4 + 2*b**3 - 5*b**3 + 2 - 9*b**2 + 3*b + 0 + 4.
3*(b - 2)*(b - 1)*(b + 1)**2
Let a = 65 - 115. Let w be (-32 - 4)*5/a. Find u, given that w*u**4 + 24/5*u - 4*u**3 - 38/5*u**2 + 8/5*u**5 + 8/5 = 0.
-2, -1/4, 1
Let n(r) = -35*r**2 + 295*r + 445. Let p(l) = 2*l**2 - 6*l - 1. Let s(i) = -n(i) - 15*p(i). What is q in s(q) = 0?
-2, 43
Let z be 14/(-7) + 12/2. Suppose 0 = 2*g - 3 - 1, -z*h + 22 = 5*g. What is k in -2*k - 3*k**2 + h*k + 3*k + k**2 = 0?
0, 2
Let i(h) be the third derivative of -h**5/30 + 20*h**4/3 - 1600*h**3/3 + 346*h**2. Factor i(o).
-2*(o - 40)**2
Let r(v) be the third derivative of -v**6/1800 - v**5/300 - 7*v**3/6 - 8*v**2. Let b(h) be the first derivative of r(h). Factor b(j).
-j*(j + 2)/5
Let l(u) = -u**5 - u**3 + 4*u**2. Let m(j) = -7*j**5 + j**4 - 6*j**3 + 25*j**2. Let a(f) = 39*l(f) - 6*m(f). Factor a(k).
3*k**2*(k - 2)*(k - 1)*(k + 1)
Let b(i) be the third derivative of i**8/192 - i**7/252 - 23*i**4/24 - 5*i**2. Let q(v) be the second derivative of b(v). Factor q(x).
5*x**2*(7*x - 2)
Suppose -7*p = 3*d - 3*p - 10, -3*p = -4*d + 5. Suppose -d*z = -16 + 12. Factor 4*c**5 - z*c**2 - 2*c**5 + 2*c**4 - c**3 + 3*c**3 - 4*c**3.
2*c**2*(c - 1)*(c + 1)**2
Let l(k) = 6*k**3 + 20*k**2 - 42*k + 8. Let j(x) = -x**3 - x**2 + x + 3. Let h(g) = -4*j(g) - l(g). Solve h(m) = 0 for m.
-10, 1
Solve 0 + 9/2*k**4 + 6*k - 3/4*k**5 - 9/2*k**2 - 21/4*k**3 = 0.
-1, 0, 1, 2, 4
Let v(q) be the first derivative of 1/48*q**4 + 1 - 3*q + 1/3*q**3 + 2*q**2. Let a(t) be the first derivative of v(t). Factor a(l).
(l + 4)**2/4
Suppose -2*r + 208 = -0*r + 2*q, -2*r = q - 204. Factor 282*k**2 - 35*k**4 - 30 - r*k**4 + 275*k + 945*k**3 - 1137*k**2.
-5*(k - 6)*(3*k - 1)**3
Let f(k) be the second derivative of -k**7/70 - k**6/50 + 3*k**5/100 + k**4/20 + 124*k. Solve f(l) = 0.
-1, 0, 1
Let x(n) be the first derivative of n**4/6 - 10*n**3/27 - 4*n**2/9 + 8*n/9 - 57. Factor x(p).
2*(p - 2)*(p + 1)*(3*p - 2)/9
Let f be 3/(-5) + 299/65. Factor 4*w + w**2 - 2*w**2 - f - 4*w**2 + 4*w**2.
-(w - 2)**2
Let c(w) be the second derivative of 5*w - 4/15*w**3 + 0 - 11/15*w**4 - 4/15*w**6 - 19/25*w**5 + 0*w**2. Suppose c(r) = 0. Calculate r.
-1, -1/2, -2/5, 0
Suppose -2*f + 3*f - 3 = 0. Suppose -a = -f - 1. Factor 3*g + 5*g**2 + 0 + 2 + 0*g**2 - a*g**2.
(g + 1)*(g + 2)
Suppose -23 - 2 = -5*s. Let -60*x**4 - 22*x**3 - x**5 + 24*x**5 + 24*x**2 + 8*x + 27*x**s = 0. Calculate x.
-2/5, 0, 1
Let t(f) be the first derivative of -f**3/5 - 51*f**2/5 - 867*f/5 - 210. Factor t(q).
-3*(q + 17)**2/5
Let d(f) be the third derivative of 5*f**8/336 - f**7/42 - f**6/4 + 7*f**5/6 - 55*f**4/24 + 5*f**3/2 + 16*f**2 + 3*f. Factor d(q).
5*(q - 1)**4*(q + 3)
Let r(s) be the second derivative of -s**5/4 - 5*s**4/2 - 15*s**3/2 + 6*s. Determine f so that r(f) = 0.
-3, 0
Determine n so that 706/9*n**2 - 160/9*n + 1042/9*n**3 - 238/3*n**4 + 8/9 - 98*n**5 = 0.
-1, 2/21, 1
Factor -51/7*i**2 - 57/7 + 3/7*i**3 - 111/7*i.
3*(i - 19)*(i + 1)**2/7
Let s(x) = -5*x**5 + 0*x**2 - x**2 + x + 3*x**3 - 2*x**3 + 6*x**5. Let a(y) = -10*y**5 - 15*y**4 - 13*y**3 + 7*y**2 - y. Let q(j) = -a(j) - 4*s(j). Factor q(r).
3*r*(r + 1)**3*(2*r - 1)
Let w be ((-8)/100)/(-4 - 38/(-10)). Factor -18/5*j**2 - 48/5*j - w*j**3 - 8.
-2*(j + 2)**2*(j + 5)/5
Let i(r) be the first derivative of r**6/30 + 3*r**5/25 + 12. Factor i(n).
n**4*(n + 3)/5
Let g = 223 - 213. Let a be (-8)/(-24) - g/(-24). Factor a*d**2 + 1/4 - 3/4*d - 1/4*d**3.
-(d - 1)**3/4
Factor 2/9*g**2 + 10*g - 188/9.
2*(g - 2)*(g + 47)/9
Let h(l) be the second derivative of -2*l**7/147 + 4*l**6/105 - 2*l**4/21 + 2*l**3/21 + 2*l + 6. Determine c so that h(c) = 0.
-1, 0, 1
Let n = 18 + -18. Factor 2*v**3 - 10*v + n*v + 2 + 8*v - 2*v**2.
2*(v - 1)**2*(v + 1)
Let t(n) be the second derivative of -n**6/300 - 3*n**5/200 + n**4/12 - n + 60. Factor t(g).
-g**2*(g - 2)*(g + 5)/10
Let a(o) be the second derivative of -4*o**7/105 + o**6/15 - o**5/30 + 14*o**2 + o - 6. Let l(t) be the first derivative of a(t). Factor l(h).
-2*h**2*(2*h - 1)**2
Let d = 380/33 - 34/3. Let j(l) = -404*l - 808. Let z be j(-2). Determine x so that -d*x**2 + 10/11*x**5 + 26/11*x**4 + z + 18/11*x**3 - 4/11*x = 0.
-1, 0, 2/5
Suppose 0 = 9*p - 8*p - 4. Let y be p - (130/11)/5. Suppose 0 - 2/11*m**3 + 0*m + 2/11*m**2 + 18/11*m**5 - y*m**4 = 0. Calculate m.
-1/3, 0, 1/3, 1
Let a = -896 + 898. What is r in 0 - 1/4*r**a + 9/4*r = 0?
0, 9
Factor -1/9*s**5 + 2/9*s**2 + 11/9*s**4 - 13/9 - 25/9*s + 26/9*s**3.
-(s - 13)*(s - 1)*(s + 1)**3/9
Let s = 1945/5833 - 2/17499. Solve 14/3*y**2 - s*y**3 - 20*y + 24 = 0 for y.
2, 6
Let c be 10/(-3)*(-36)/24. Suppose -4*v = -c*v + 4. Factor 4/5*o + 0 + 4/5*o**2 - 1/5*o**3 - 1/5*o**v.
-o*(o - 2)*(o + 1)*(o + 2)/5
Let q(t) be the first derivative of -6 - 1/14*t**4 + 12/7*t - 4/21*t**3 + 5/7*t**2. What is j in q(j) = 0?
-3, -1, 2
Solve -303*u + 112*u + 111*u - 36*u**2 + 2*u**3 = 0.
-2, 0, 20
Let p(q) = 2*q**2 - 25*q + 55. Let z(n) = n - 6. Let m be z(7). Let h(u) = -u + 1. Let l(i) = m*p(i) - 5*h(i). Suppose l(x) = 0. What is x?
5
Let f(g) be the third derivative of -1/6*g**6 + 0 + 1/6*g**4 + 0*g - 1/15*g**5 - 2/35*g**7 + 0*g**3 - 36*g**2. Suppose f(p) = 0. What is p?
-1, 0, 1/3
Suppose -2*w = -3*w + 3. Factor -5*x**4 - 46*x**w + x**4 + x**2 + 49*x**3.
-x**2*(x - 1)*(4*x + 1)
Let w(b) be the third derivative of -b**8/2184 - 3*b**7/65 - 16*b**6/13 + 512*b**5/195 - b**2 + 117. Factor w(h).
-2*h**2*(h - 1)*(h + 32)**2/13
Let u(x) be the first derivative of 5*x**4/4 + 40*x**3/3 + 85*x**2/2 + 50*x + 725. Find i such that u(i) = 0.
-5, -2, -1
Factor 16/5 - 174/5*l - 22/5*l**2.
-2*(l + 8)*(11*l - 1)/5
Let y(a) = -28*a**3 - 4*a**2 - 3*a. Let d be y(-2). Factor 0*s**3 - d*s**4 + 219*s**4 + 5*s**2 + 10*s**3.
5*s**2*(s + 1)**2
Let u(g) be the second derivative of g**4/36 - 101*g**3/18 + 50*g**2/3 + 6*g - 61. Factor u(z).
(z - 100)*(z - 1)/3
Factor -4*c**3 - 8*c**4 + 5*c**4 - 8*c**3 - 6*c**3.
-3*c**3*(c + 6)
Determine c, given that 34*c**3 - 43*c**5 + 41*c**3 + 73*c**3 - 65*c**5 - 51*c**4 + 51*c**2 - 46*c**3 + 6*c = 0.
-1, -1/4, -2/9, 0, 1
Factor 2 - 3/4*y - 1/8*y**2.
-(y - 2)*(y + 8)/8
Let t be (-5 + 7 + 0)*1/2. Let h be -1 + 4 - ((-4)/t - -3). Solve 0 + 0*z + 0*z**2 + 2/3*z**h + 2/3*z**3 = 0 for z.
-1, 0
Find q, given that 21*q**2 - 7/4*q**4 - 34*q + 1/2*q**3 + 8 = 0.
-4, 2/7, 2
Suppose -3*c = -5*c. Suppose c = 4*w - 5*w + 2. Find h such that 2*h**3 + w*h**2 + 1 - 2*h + 1 + 3 - 7 = 0.
-1, 1
Let n be 63/(-28)*(-8)/24. Let i be (-7)/4 + (-2)/(-1). Facto