v(n) be the third derivative of n**8/15680 + n**7/2940 - n**6/560 - 37*n**4/24 + 2*n**2 + 10. Let m(g) be the second derivative of v(g). Factor m(b).
3*b*(b - 1)*(b + 3)/7
Let x(h) be the first derivative of h**7/420 + h**6/240 - h**5/30 - h**4/12 + 5*h**2 + 30. Let t(o) be the second derivative of x(o). Solve t(m) = 0.
-2, -1, 0, 2
Factor 96 - 24 + 42*u**2 + 2*u**3 + 27*u**2 - 116*u - 6*u**3 - 21*u**2.
-4*(u - 9)*(u - 2)*(u - 1)
Suppose 1660*q - 23415 + 18435 = 0. Find n, given that -5/4*n**2 - 3/4 + 7/4*n + 1/4*n**q = 0.
1, 3
Factor -165/2*y + 0 - 3/8*y**2.
-3*y*(y + 220)/8
Let s be (-2485)/(-14)*(-8)/(-10). Suppose -s - 32 = -3*z. Determine n, given that -z*n**2 + n**3 - 11*n**3 + 15*n**4 + 53*n**2 = 0.
-1/3, 0, 1
Suppose -5*d = -4*q - 8, 0*q - 23 = -2*d - 5*q. Find g such that -5*g**2 - 3152*g - g**3 - 24 + 3126*g - d*g**2 = 0.
-4, -3, -2
Let -8100 + 35*m**5 + 3186*m**2 - 19678*m**2 - 655*m**3 + 445*m**4 + 32040*m + 3727*m**2 = 0. What is m?
-10, -9, 2/7, 3
Let q(p) be the first derivative of 1/2*p**4 + 72 - 5/2*p**2 + 1/10*p**5 + 4*p - 1/2*p**3. Let q(n) = 0. What is n?
-4, -2, 1
Let -88/5*w + 66/5*w**3 + 0 + 4/5*w**2 - 5*w**4 + 1/5*w**5 = 0. Calculate w.
-1, 0, 2, 22
Let z(n) be the second derivative of n**7/56 - 57*n**6/20 - 2133*n**5/80 - 135*n**4/2 + 4190*n. Let z(h) = 0. What is h?
-3, 0, 120
Let b = -1/52 + 47479/156. Let m = b + -304. Suppose m*f**2 - 4/3*f + 1 = 0. What is f?
1, 3
Suppose 0 = -d + 4 - 1. Suppose -5*s + 50*h - 58*h = -20, 12 = 3*s + 4*h. Solve 2/11*p**d - 2/11*p + 0 + 2/11*p**s - 2/11*p**2 = 0.
-1, 0, 1
Let t(c) = -3354*c + 30189. Let u be t(9). Find i, given that 4/5*i**u + 4/5*i**2 + 12/5 - 4*i = 0.
-3, 1
Let f(v) be the second derivative of -v**5/4 - 1615*v**4/6 + 5*v**3/6 + 1615*v**2 - 5188*v. Factor f(a).
-5*(a - 1)*(a + 1)*(a + 646)
Let r = 80 - 77. Let n(d) = d + 1. Let l(u) = -3*u**3 - 11*u**2 - 4*u + 4. Let p(t) = r*n(t) - 3*l(t). Factor p(y).
3*(y + 1)*(y + 3)*(3*y - 1)
Factor -2*p**2 + 8*p**2 + 4*p**2 - 127*p - 2348*p - 80*p + 1275.
5*(p - 255)*(2*p - 1)
Let d = 169126/317055 - 2/21137. Let s be 6/15 + (5 - 5). Solve s + 2/15*f**2 - d*f = 0 for f.
1, 3
Let p be (-21)/6 + (-91)/(-14). Let w(l) = -l**3 + 4*l**2 - 3*l + 3. Let z be w(p). Determine c so that 1/2*c - 1/2*c**z + 1/2*c**4 - 3/2*c**2 + 1 = 0.
-1, 1, 2
Let y(m) be the second derivative of 0*m**2 + m**3 + 9*m + 1/720*m**6 + 0 + 0*m**4 - 1/60*m**5. Let p(a) be the second derivative of y(a). Factor p(b).
b*(b - 4)/2
Let f(u) be the second derivative of -u**6/6 - 59*u**5/4 + 475*u**4/6 + 620*u**3/3 - 3435*u. Find n, given that f(n) = 0.
-62, -1, 0, 4
Suppose -2*j + 5*l + 10 = 0, 2*j + j - 3*l - 24 = 0. Let z = -101 + 104. Let -3*t**2 + 5*t**4 + z*t**2 + 0*t**4 - j*t**3 = 0. Calculate t.
0, 2
Let x(i) be the second derivative of -i**5/40 - i**4/2 - 7*i**3/4 - 5*i**2/2 - 4*i + 17. Factor x(q).
-(q + 1)**2*(q + 10)/2
Suppose 4*p = 10*p - 12. Let v(b) = 3*b**2 + b + 1. Let z be v(-1). Solve 0*m**5 - m**4 - 19*m**z + 11*m**3 - 4*m**p - 4*m**4 - m**5 = 0.
-2, -1, 0
Let i be ((-260)/39)/(2/(-12)*1). Let g be 1 - (-2 + 70/i). Solve 1/4*r**4 - 1/4*r**2 + g*r - 5/4*r**3 + 0 = 0 for r.
-1, 0, 1, 5
Let i(m) be the second derivative of -m**4/78 - 184*m**3/39 + 185*m**2/13 - 676*m. Factor i(g).
-2*(g - 1)*(g + 185)/13
Let l(r) be the first derivative of 5*r**4/12 + 5*r**3/3 + 51*r - 67. Let z(g) be the first derivative of l(g). Suppose z(f) = 0. What is f?
-2, 0
Let n = -346686 + 346686. What is b in -3/5*b**4 + 1/5*b**5 + 3/5*b**3 - 1/5*b**2 + n*b + 0 = 0?
0, 1
What is v in -63*v**3 + 5 + 43*v**3 - 77 - 23*v**2 - 120*v - 2*v**4 - 30*v**2 - 21*v**2 = 0?
-3, -2
Let t(m) be the second derivative of -m + 44/3*m**3 - 15*m**2 + 1/2*m**4 - 2. Determine i, given that t(i) = 0.
-15, 1/3
Suppose 2/9*f**2 - 202/9*f + 200/9 = 0. Calculate f.
1, 100
Let b be 3 + 2 + 0 - -4. Suppose -14*y - b = -15*y. Suppose -12*v + 15*v**2 - 7 + 1 - 3 - y*v**2 + 3*v**4 + 12*v**3 = 0. What is v?
-3, -1, 1
Let z(l) be the third derivative of -l**5/360 + 19*l**4/144 + 7*l**3/6 - 34*l**2. Suppose z(d) = 0. What is d?
-2, 21
Let j(a) be the second derivative of a**5/170 - 56*a**4/51 + 644*a**3/51 - 848*a**2/17 + 9*a - 89. Factor j(v).
2*(v - 106)*(v - 4)*(v - 2)/17
Let j(z) be the first derivative of z**6/24 + 7*z**5/10 + 39*z**4/16 - 7*z**3/6 - 5*z**2 - 906. Suppose j(w) = 0. Calculate w.
-10, -4, -1, 0, 1
Let b(q) be the second derivative of -q**7/21 - 16*q**6/5 - 69*q**5/5 - 68*q**4/3 - 15*q**3 + 1042*q. What is v in b(v) = 0?
-45, -1, 0
Let g be (34/14 - 172/(-301))*1. Factor 17/2*d**2 + 1/2*d**4 - 17/2*d - 7/2*d**g + 3.
(d - 3)*(d - 2)*(d - 1)**2/2
Let c(w) = w**4 - w**3 + 8*w**2 + w + 1. Let d(v) = 12*v**4 + 24*v**3 + 15*v**2 - 132*v + 15. Let x(q) = -15*c(q) + d(q). Solve x(r) = 0.
-1, 0, 7
Let i be -1 - (-6)/(12/10). Factor 96*z - 195*z - 16*z**2 + 12*z**4 + i*z**5 + 99*z.
4*z**2*(z - 1)*(z + 2)**2
Let z(d) be the first derivative of 0*d + 7/9*d**3 + 1/15*d**5 + 159 + 7/12*d**4 - 5/2*d**2. Let z(p) = 0. Calculate p.
-5, -3, 0, 1
Let i(c) be the second derivative of c**5/80 + 109*c**4/48 - 2832*c. Factor i(v).
v**2*(v + 109)/4
Suppose 50 - 372*l + 156 - 50 + 57 - 3*l**2 + 162 = 0. Calculate l.
-125, 1
Let a(w) be the first derivative of w**5 + 255*w**4/4 + 435*w**3 - 2095*w**2/2 - 3150*w - 959. Solve a(p) = 0 for p.
-45, -7, -1, 2
Solve 95922/5 + 876/5*p + 2/5*p**2 = 0 for p.
-219
Let s(z) = z**2 + 16*z + 59. Let n be s(-10). Let o be (n + 0)/5 + 1. Find x such that -6/5*x**5 + o*x**4 + 0 + 0*x + 4/5*x**2 + 14/5*x**3 = 0.
-1, -1/3, 0, 2
Let u be (13/12 - 1)*4. Suppose -1203 - 4881 = -507*v. Factor 10*d**2 + 3*d**4 + u + 28/9*d + v*d**3.
(d + 3)*(3*d + 1)**3/9
Solve 2/15*q**3 + 138*q - 648/5 - 128/15*q**2 = 0 for q.
1, 27, 36
Suppose 30 - 113 - 108*v - 4*v**3 - 36*v**2 - 25 = 0. What is v?
-3
Suppose -2*a - 2 + 15 = 3*o, -a - 13 = -5*o. Suppose 2*v - 25 = 3*w, -2*w - 7 = o. Factor -8*p**4 + 4*p**3 + 5*p**v + 123*p - p**5 - 123*p.
4*p**3*(p - 1)**2
Let i(a) be the third derivative of -a**6/600 + 181*a**5/150 - 32761*a**4/120 - a**2 + 436*a + 1. Factor i(p).
-p*(p - 181)**2/5
Let i(l) be the second derivative of 8*l**4 + 92*l - 16/5*l**5 - 6*l**3 + 0 + 2*l**2. Find y such that i(y) = 0.
1/4, 1
Let u(a) be the third derivative of a**7/3360 - a**6/320 - a**5/16 + a**4/4 + 52*a**2. Let i(o) be the second derivative of u(o). Factor i(k).
3*(k - 5)*(k + 2)/4
Suppose 4*v - 21*f - 299 = -26, -f - 13 = -5*v. Solve v - 5*p**3 + 5*p**5 - 10/3*p**4 + 10/3*p**2 + 0*p = 0.
-1, 0, 2/3, 1
Let c(y) be the first derivative of y**5/12 + 5*y**4/3 - 15*y**3/2 - 39*y**2/2 + 61. Let f(j) be the second derivative of c(j). Factor f(i).
5*(i - 1)*(i + 9)
Factor 68*u**2 - 8*u**3 + 18*u**5 - 5*u**3 - 58*u**2 + 2*u**4 - 17*u**5.
u**2*(u - 2)*(u - 1)*(u + 5)
Let z(n) be the first derivative of n**6/120 - 7*n**5/60 + n**4/4 - 39*n**2/2 - 37. Let d(b) be the second derivative of z(b). Let d(g) = 0. What is g?
0, 1, 6
Let w(k) be the third derivative of k**8/168 + 89*k**7/210 + 917*k**6/120 - 1723*k**5/60 - 1495*k**4/24 + 529*k**3/3 + 3415*k**2. What is z in w(z) = 0?
-23, -1, 1/2, 2
Let z(i) be the third derivative of i**8/60480 + i**7/3780 - i**6/432 + i**5/12 + 13*i**2. Let t(x) be the third derivative of z(x). Factor t(h).
(h - 1)*(h + 5)/3
Let o(n) be the second derivative of -7203*n**5/40 - 4851*n**4/2 - 393*n**3 - 24*n**2 + 177*n - 6. Suppose o(p) = 0. What is p?
-8, -2/49
Let r(z) be the first derivative of z**4/10 + 72*z**3/5 + 2916*z**2/5 + 3161. Determine k so that r(k) = 0.
-54, 0
Let m be (-66)/8 - -3 - ((-6)/1)/1. Let o(f) be the first derivative of 0*f + 19 - 3/2*f**2 + 3/16*f**4 + m*f**3. Factor o(u).
3*u*(u - 1)*(u + 4)/4
Factor 2968/9 + 2960/9*n + 734/9*n**2 - 2/9*n**3.
-2*(n - 371)*(n + 2)**2/9
Suppose 7*h + 267 = 253. Let n be ((-1)/h)/(224/128). Factor 0*m**4 - 4/7*m**2 + 6/7*m**3 - n*m**5 + 0 + 0*m.
-2*m**2*(m - 1)**2*(m + 2)/7
Suppose 75*s + 500 - 5*s**3 - 87*s - 25*s**2 + 87*s - 5*s**2 = 0. Calculate s.
-5, 4
Suppose 5*o = -167 + 322. Factor -o*a - 5*a**2 + 44*a + 17*a.
-5*a*(a - 6)
Let f(w) = -w**3 - 2*w**2 - 4*w - 6. Let l = -29 - -27. Let m be f(l). Factor 15*x**2 + 2 + 2*x**4 - 20*x + 28*x + 8*x**3 + 0*x**m - 3*x**2.
2*(x + 1)**4
Let s(x) be the first derivative of x**4/66 - 4*x**3/33 - 60*x