 + z**5/280 - z**4/56 - 3*z**3 - 63. Let g(o) be the third derivative of n(o). Solve g(i) = 0 for i.
-1, 1
Let v = -201 - -206. Suppose v = 16*h + 5. What is g in 6/7*g**2 - 2/7*g - 6/7*g**3 + 2/7*g**4 + h = 0?
0, 1
Let a(s) be the first derivative of s**6/2 - 348*s**5/5 - 351*s**4/4 + 1780. Factor a(c).
3*c**3*(c - 117)*(c + 1)
Let t be 2343/213 + ((-46)/(-69) - (3 + (-16)/(-6))). Solve 105/8*w**2 - t + 69/4*w = 0 for w.
-8/5, 2/7
Let n(h) be the second derivative of -h**6/20 + 9*h**5/5 - 105*h**4/4 + 196*h**3 - 3087*h**2/4 - 699*h. Factor n(g).
-3*(g - 7)**3*(g - 3)/2
Let x = -18 - -33. Let t(j) = j**3 - 15*j**2 + 12. Let i be t(x). What is r in -11*r**2 + 7*r**2 + i*r + 3*r**2 + 12 + 4*r**2 = 0?
-2
Let t(y) be the third derivative of -y**5/180 + 11*y**4/3 + 89*y**3/2 + y**2 + 259*y + 2. Factor t(l).
-(l - 267)*(l + 3)/3
Let z(v) be the second derivative of 0*v**2 - 323/48*v**4 + 7/16*v**5 - 1/120*v**6 + 289/24*v**3 + 0 + 11*v. Find m such that z(m) = 0.
0, 1, 17
Let j(c) = -2*c**3 + 532*c**2 - 536. Let o(i) = 4*i**3 - 1065*i**2 + i + 1075. Let f(p) = 5*j(p) + 2*o(p). Factor f(z).
-2*(z - 265)*(z - 1)*(z + 1)
Let y(x) be the second derivative of -x**7/231 - 7*x**6/165 - x**5/10 + 7*x**4/66 + 4*x**3/11 - 1892*x + 1. Find w such that y(w) = 0.
-4, -3, -1, 0, 1
Let h be -1061*1*((-322)/28)/23. Let i = 532 - h. Suppose 9/2*x**2 - i*x - 3/2*x**4 + 3/2*x**3 - 3 = 0. Calculate x.
-1, 1, 2
Find d, given that 164/11*d**2 + 0*d + 30*d**3 + 2/11*d**5 + 0 + 168/11*d**4 = 0.
-82, -1, 0
Suppose -2*t + 4 = -0*t. Suppose 5 = t*h - 5. Factor 0*o**3 - h*o**3 - 14*o - 8*o**2 + 4*o - 7*o**2.
-5*o*(o + 1)*(o + 2)
Let -5*z**4 - 848*z**2 - 212960 + 1095*z**2 + 64735*z + 273*z**3 + 52*z**3 - 7342*z**2 = 0. What is z?
11, 32
Let u = -350158/3 + 116720. What is x in -u*x**2 - 1/6*x**3 + 1/6*x + 2/3 = 0?
-4, -1, 1
Let f(n) be the first derivative of -6*n**6 + 588*n**5/5 - 751*n**4 + 1676*n**3 - 1680*n**2 + 784*n + 2192. Find j, given that f(j) = 0.
2/3, 1, 7
Let h(f) = 10*f**2 - 10580*f - 110. Let x(j) = -j**2 + 1175*j + 12. Let q(m) = 6*h(m) + 55*x(m). Suppose q(v) = 0. Calculate v.
-229, 0
Let g = 337 + -304. Suppose -5*y - 112 = -g*y. Determine s so that 0*s - 1/4*s**y + 1/4*s**2 - 1/4*s**5 + 0 + 1/4*s**3 = 0.
-1, 0, 1
Let f be (-3)/2*(-2 - 0). Let o be (-6 - -4) + f - 8/(-4). Factor 44*h**3 - 6*h**2 + 41*h**3 + 46*h**o - 135*h**3 + 2.
-2*(h + 1)**2*(2*h - 1)
Let i(l) be the second derivative of l**4/84 - 89*l**3/14 + 19*l**2 + 37*l + 1. Factor i(m).
(m - 266)*(m - 1)/7
Let h = -41 - -57. Suppose 3*s + 4*o = -1, 5*s = s - o + h. Let -430*c**s + 2*c**2 + 2*c**3 + 434*c**5 - 9*c**3 - 5*c**4 = 0. Calculate c.
-1, 0, 1/4, 2
Let i(d) be the first derivative of -d**4/12 + 2863*d**3/9 - 1023880*d**2/3 - 2050624*d/3 + 2437. Let i(h) = 0. Calculate h.
-1, 1432
Suppose o - 8 = 1. Factor -4*a - 13*a**2 + o*a**2 + a.
-a*(4*a + 3)
Let u be 89/3*(-183)/427 - -13. Determine x so that u*x - 2/21*x**2 - 4/21 = 0.
1, 2
Suppose 9850 = 22*o + 28*o. Let p(z) = z**3 - 6*z**2 + 5*z + 3. Let m be p(5). Factor -8 - 4 - 9*c**2 + 191*c**3 + m*c**4 - o*c**3 + 24*c.
3*(c - 2)*(c - 1)**2*(c + 2)
Let n(f) be the second derivative of -3*f**5/50 + 37*f**4/5 - 519*f**3/5 - 1782*f**2/5 + 3316*f. Factor n(i).
-6*(i - 66)*(i - 9)*(i + 1)/5
Let x(a) = -7*a - 25 - a - 11. Let q be x(-5). Suppose -4*h**3 + 2*h**5 + 8*h**5 + 0*h**4 - q*h**4 - 2*h**4 = 0. Calculate h.
-2/5, 0, 1
Let q = 2267 - 6769/3. Let u(o) be the second derivative of 0 + 15/2*o**4 + q*o**3 - 81/10*o**5 - 10*o + 4*o**2. Solve u(p) = 0.
-2/9, 1
Let f be (-20)/24 + (-1498)/(-84). Let q(b) be the first derivative of 4/5*b**5 - 6/5*b**3 + 3/10*b**6 + f + 1/5*b**4 - 13/10*b**2 - 2/5*b. Factor q(h).
(h - 1)*(h + 1)**3*(9*h + 2)/5
Let y(b) be the third derivative of -b**6/30 - 37*b**5/15 - 6*b**4 - 4*b**2 + 10*b + 17. Let y(x) = 0. Calculate x.
-36, -1, 0
Let t(r) be the second derivative of -r**4/28 - 27*r**3/7 - 459*r**2/14 - 598*r - 2. Let t(n) = 0. Calculate n.
-51, -3
Factor 65/2 - 37/4*n - 31/4*n**2 + 5/2*n**3.
(n + 2)*(2*n - 5)*(5*n - 13)/4
Factor 50*v**5 + 106504*v**3 - 5140*v**4 + 20808*v + 5457*v**3 + 36889*v**2 + 22177*v**3 - 91304*v**2 - 50441*v**2.
2*v*(v - 51)**2*(5*v - 2)**2
Let r(g) = -g**3 - 21*g**2 - 90*g + 3. Let q be r(-6). Suppose -24 = -5*f - 3*x, -3 = -3*f + x + q. Factor -1/5*o**f + 3/5*o - 2/5*o**2 + 0.
-o*(o - 1)*(o + 3)/5
Let x(b) be the first derivative of 5*b**6/6 + 4*b**5 + 5*b**4/4 - 50*b**3/3 - 10*b**2 + 40*b - 5710. Factor x(r).
5*(r - 1)**2*(r + 2)**3
Let 12496*b**3 - 5*b**4 - 13016*b**3 + 214760*b - 3760*b**2 - 5630*b**2 - 852845 = 0. Calculate b.
-59, 7
Let k = -77 + 15. Let l = -37 - k. Factor -10 - l*f**3 + 20*f**4 - 10*f**2 - 9 - 4*f**5 + 27 + 7*f + 13*f.
-(f - 2)**3*(2*f + 1)**2
Let g(y) = -y - 3. Let d be g(-6). Suppose 2*b = 1 + d. Suppose 20 + 21*o - b*o + o + 0*o**2 + 5*o**2 = 0. Calculate o.
-2
Determine r, given that 44/7 - 166/21*r - 2/21*r**3 + 12/7*r**2 = 0.
1, 6, 11
Let a(m) = -m**5 + 2*m**4 + m**3 + 2*m**2 - m. Let d(y) = 35*y**5 + 735*y**4 - 130*y**3 - 10*y**2 + 5*y. Let z(x) = -5*a(x) - d(x). Factor z(p).
-5*p**3*(p + 25)*(6*p - 1)
Let 2/3 + 29/3*i**3 - 14/3*i**4 - 29/3*i + 4*i**2 = 0. Calculate i.
-1, 1/14, 1, 2
Let n(k) be the second derivative of 1/8*k**4 + 0 + 12*k**2 - 67*k + 2*k**3. Suppose n(c) = 0. Calculate c.
-4
Let q(p) be the third derivative of 0*p - 19/9*p**3 + 0 + 65*p**2 + 1/90*p**5 - 1/2*p**4. Determine l so that q(l) = 0.
-1, 19
Let p = -659217742/715 + 921982. Let b = -8/143 - p. Let -2/5*t**5 + 0 + b*t - 2/5*t**3 - 6/5*t**2 + 6/5*t**4 = 0. What is t?
-1, 0, 1, 2
Suppose 4*c - j - 2 = 0, -134*j + 132*j = -2*c + 4. Solve c - 2/7*l**4 + 22/7*l**3 - 20/7*l**2 + 0*l = 0 for l.
0, 1, 10
Let j = -3386 + 40649/12. Let r(g) be the first derivative of 7/9*g**3 - j*g**2 - 13 + g - 1/8*g**4. Factor r(l).
-(l - 3)*(l - 1)*(3*l - 2)/6
Let o(q) = q**3 + 2*q**2 - 19*q + 22. Let a be o(2). Let t(i) be the second derivative of 0 - i**3 + 1/4*i**4 + a*i**2 - 26*i. Let t(m) = 0. Calculate m.
0, 2
Let p(v) be the third derivative of -v**6/240 + 31*v**5/40 + v**4/48 - 31*v**3/4 + 5484*v**2. Suppose p(y) = 0. What is y?
-1, 1, 93
Suppose -4*x - 112 = -8*x. Suppose 0 = 9*f - x - 17. Factor 2*n**2 - 739*n**f - 2*n**4 - 3*n**3 + n**3 + 741*n**5.
2*n**2*(n - 1)**2*(n + 1)
Suppose 1421*r - 1760*r = 0. Let -48/7*p**2 + r - 16/7*p - 24/7*p**4 - 52/7*p**3 - 4/7*p**5 = 0. What is p?
-2, -1, 0
Let r(h) be the second derivative of 0*h**2 + 0 - 9/2*h**5 - 20/3*h**3 - 5/42*h**7 + 25/3*h**4 + 7/6*h**6 + 30*h. What is c in r(c) = 0?
0, 1, 2
Suppose -14*j + 6718*j**3 + 36*j**2 - 22*j - 6702*j**3 = 0. What is j?
-3, 0, 3/4
Let s(i) be the second derivative of i**5/50 + 2*i**4/3 + 37*i**3/15 + 18*i**2/5 + 5660*i. Let s(y) = 0. What is y?
-18, -1
Let q be (-3)/(171/99 - 2). Let h be ((-4)/5)/(q + -12). Factor 0 - h*d**2 - 2/5*d - 2/5*d**3.
-2*d*(d + 1)**2/5
Factor 3804/5*g + 4*g**2 - 3056/5.
4*(g + 191)*(5*g - 4)/5
Suppose 43*u - 982 = -982. Let r(l) be the second derivative of u + 0*l**5 - 4*l + 1/9*l**4 + 0*l**2 + 1/9*l**3 - 2/45*l**6 - 1/63*l**7. Factor r(w).
-2*w*(w - 1)*(w + 1)**3/3
Suppose -2*g - 3*o + 4 + 4 = 0, 4*o = 0. Factor 223*p**2 - 8*p + 218*p**2 - 446*p**2 + g.
-(p + 2)*(5*p - 2)
Let a(v) be the first derivative of -105 - 13/3*v**2 + 1/6*v**4 + 14/3*v + 10/9*v**3. Solve a(z) = 0 for z.
-7, 1
Let t(v) be the second derivative of v**4/48 + 11*v**3/12 - 75*v**2/8 - 180*v + 2. Factor t(z).
(z - 3)*(z + 25)/4
Let k = -232034 + 2088308/9. Let 0*l + 8/9*l**3 + k*l**5 + 0*l**2 - 10/9*l**4 + 0 = 0. What is l?
0, 1, 4
Factor -6196/9*s + 4/9*s**2 + 0.
4*s*(s - 1549)/9
Let g = 130 - 127. Let n = 41/72 - -67/72. Factor 0 - n*l**2 + 0*l**g + 1/2*l**4 + l.
l*(l - 1)**2*(l + 2)/2
Let r be (-40)/8 + 148/4. Suppose 22*u**2 - r - 17*u**2 - 1 - 2 + 30*u = 0. What is u?
-7, 1
Let f(l) be the second derivative of l**4/12 - 11*l**3/3 - 84*l**2 + l + 51. What is i in f(i) = 0?
-6, 28
Suppose 3*q + 1 = 5*o - 40, q - 2*o = -15. Let f be 5/(-20)*(q - 1). Factor -12*i + 7*i**f + 2*i**2 + 9*i**3 - i**3 - 12 + 4*i**3 + 3*i**4.
3*(i - 1)*(i + 1)*(i + 2)**2
Suppose -3*z = -3*n + 21, 15*n - 2*n = 3*z + 91. Factor -4/5*l**2 - 12/5*l + z.
-4*l*(l + 3)/5
Solve -3/5*t**3 + 33/5*t**2 + 18/5*t - 648/5 = 0 for t.
-4, 6, 9
Let i be (