at y(x) = 0.
-2/7, 2/5, 2, 3
Let k = 127 - 284. Let a = k + 160. Solve 3/2 - 3/4*t + 3/4*t**4 - 9/4*t**2 + 3/4*t**a = 0 for t.
-2, -1, 1
Suppose 2*j - 3*j = -20. Let f = j - 13. Suppose -f*n**3 + 4*n - 3*n**3 - 2*n**2 - 4*n**2 = 0. What is n?
-1, 0, 2/5
Suppose 4*s = -4*f, -6*s + 2*s + 9 = f. Factor 16*n**4 - 64*n**2 - 12*n**s + 4*n**5 + 8*n**3 - 12*n**3.
4*n**2*(n - 2)*(n + 2)*(n + 4)
Factor 936*n + 272*n**2 + 109512 + 361*n**2 - 631*n**2.
2*(n + 234)**2
Let p(z) be the third derivative of 29/210*z**7 + 12*z**2 + 0 - 131/120*z**6 + 4/3*z**3 - 71/24*z**4 + 1/56*z**8 + z + 53/20*z**5. Factor p(n).
(n - 1)**3*(n + 8)*(6*n - 1)
Let c(y) = -26*y**2 - 2. Let v(s) = 154*s**2 - 134*s - 120. Let o(z) = -6*c(z) - v(z). Factor o(r).
2*(r + 1)*(r + 66)
Let z(k) be the third derivative of 25*k**8/1512 + 26*k**7/189 + k**6/10 - 28*k**5/15 - 21*k**4/4 - 6*k**3 - 5169*k**2. Let z(y) = 0. Calculate y.
-3, -3/5, 2
Let v(z) be the first derivative of -21*z**4/5 - 478*z**3/15 + 77*z**2/5 - 12*z/5 + 2624. Solve v(p) = 0.
-6, 1/7, 1/6
Let k(a) = -7*a**2 + 541*a - 82. Let y be k(77). Let d(v) be the first derivative of -4*v + 9*v**2 + 56/3*v**3 - 26 + 128/5*v**5 - y*v**4. Solve d(i) = 0.
-1/4, 1/4, 2
Let p(r) = -3 + 7*r + 3 + 24*r**2 + 17*r**3. Let n(s) = -135*s**3 - 192*s**2 - 57*s. Let k = -1139 - -1143. Let l(y) = k*n(y) + 33*p(y). Solve l(d) = 0 for d.
-1, -1/7, 0
Let x(s) = -27*s**2 + 84*s + 748. Let i(g) = -8*g**2 + 28*g + 248. Let y(q) = -14*i(q) + 4*x(q). Factor y(r).
4*(r - 20)*(r + 6)
Let n = 4797 + -4794. Find l, given that -2*l**2 + l**4 - 1/2*l - 1/2*l**5 + 1 + l**n = 0.
-1, 1, 2
Let a(u) be the second derivative of -30*u + 1/10*u**6 + 0 - 3/4*u**5 + 0*u**2 + 3/2*u**4 + 0*u**3. Factor a(g).
3*g**2*(g - 3)*(g - 2)
Let r(v) = -v**3 - 14*v**2 + v - 2. Let f(s) = -s**3 - 1263*s**2 + 2469*s - 1237. Let g(t) = f(t) - 2*r(t). Determine a so that g(a) = 0.
1, 1233
Let d(z) = -z**3 + 30*z**2 + 64*z - 3. Let u be d(32). Let q be 20/(-2)*u/27. Let q*p**4 + 2/3*p**5 + 22/9*p - 2/3 - 4/9*p**2 - 28/9*p**3 = 0. What is p?
-3, -1, 1/3, 1
Let j(z) be the second derivative of z**7/3360 + z**6/720 - 97*z**3/6 + 79*z. Let y(m) be the second derivative of j(m). Factor y(h).
h**2*(h + 2)/4
Let y be 37/(-18) + 2 + 465/930. Factor 4/9*r**2 - y - 5/3*r.
(r - 4)*(4*r + 1)/9
Let c(w) be the first derivative of 2*w**3/9 + 37*w**2 - 224*w/3 - 1303. Let c(p) = 0. What is p?
-112, 1
Let s(p) be the second derivative of -51*p + 121/3*p**2 - 1 + 1/72*p**4 + 11/9*p**3. Factor s(o).
(o + 22)**2/6
Suppose 255/2*i**3 - 130*i + 65/2*i**4 + 235/2*i**2 - 150 + 5/2*i**5 = 0. Calculate i.
-6, -5, -2, -1, 1
Let i(o) be the first derivative of -24 + 37/2*o**2 + 1369/3*o**3 + 1/4*o. Factor i(p).
(74*p + 1)**2/4
Let b(a) be the second derivative of a**5/160 - a**4/32 + a**3/16 + 7*a**2 - 32*a + 1. Let r(i) be the first derivative of b(i). Suppose r(y) = 0. Calculate y.
1
Suppose -1/6*g**3 + g**2 + 10 + 67/6*g = 0. Calculate g.
-5, -1, 12
Let a(b) = 25*b**2 - 360*b + 1030. Let v(w) = -71*w**2 + 1081*w - 3094. Let l(r) = 14*a(r) + 5*v(r). Find o such that l(o) = 0.
3, 70
Let w(l) be the third derivative of 0*l + 1/490*l**7 - 1/7*l**3 + 23/840*l**6 + 5/168*l**4 + 163*l**2 + 31/420*l**5 + 0. What is c in w(c) = 0?
-6, -1, 1/3
Let g(x) = -13*x**2 - 180*x + 20. Let y be g(-14). Let u be (-2 + 6)*(-5 - 44/y). Find m, given that 1/2*m**u + m + 1/2 = 0.
-1
Let r(j) = -3*j - 27. Let x be r(-10). Let u be x/((2 - 3)/(-2)). Factor -19*z**3 - u*z**3 + 17 + 23 - 10*z**2 + 100*z.
-5*(z - 2)*(z + 2)*(5*z + 2)
Suppose 203*f = 198*f + 3*i - 18, -3*i = -f - 18. Let b = 106/65 + -16/13. Factor f - 4/5*r + 6/5*r**2 - b*r**3.
-2*r*(r - 2)*(r - 1)/5
Let u(c) be the first derivative of c**5/5 + 29*c**4/4 + 104*c**3/3 + 50*c**2 + 2144. Factor u(n).
n*(n + 2)**2*(n + 25)
Factor 428/3*p**2 - 1/3*p**3 + 0*p + 0.
-p**2*(p - 428)/3
Let 5/4*y**4 - 115/4*y**3 - 425*y + 250 + 405/2*y**2 = 0. What is y?
1, 2, 10
Let d(b) be the first derivative of 5*b**4/4 - 160*b**3 + 11985*b**2/2 - 22090*b + 568. Find u, given that d(u) = 0.
2, 47
Let m(y) be the third derivative of y**5/30 - 349*y**4/12 + 116*y**3 - 1676*y**2. Suppose m(b) = 0. What is b?
1, 348
Let s(q) be the first derivative of q**9/1512 + q**8/105 + q**7/84 - 7*q**6/90 - 2*q**3/3 - 15*q - 60. Let a(p) be the third derivative of s(p). Factor a(n).
2*n**2*(n - 1)*(n + 2)*(n + 7)
Let z be (-120)/1020 + 100/(-17). Let j be z*(-18)/(-27) + 4. Determine i so that 6/5*i - 8/5*i**2 + 2/5*i**3 + j = 0.
0, 1, 3
Factor 1359*d + 3/4*d**2 + 615627.
3*(d + 906)**2/4
Let t(s) be the third derivative of -s**5/300 + 581*s**4/60 - 337561*s**3/30 - s**2 + 124. Factor t(b).
-(b - 581)**2/5
Let h(a) be the third derivative of -a**7/840 - 29*a**6/480 - a**5/3 - 13*a**4/24 + 388*a**2. Factor h(w).
-w*(w + 1)*(w + 2)*(w + 26)/4
Suppose 4*v + 4*t = 12, 3*v - 13*t + 26 = -9*t. Let b be (1261/117 - 11)*(1 + v). Factor b*j**4 + 0*j + 0 + 2/9*j**3 + 0*j**2.
2*j**3*(j + 1)/9
Let v(x) be the third derivative of x**5/30 - 55*x**4/4 - 676*x**3/3 - 3*x**2 + 5*x + 136. Factor v(r).
2*(r - 169)*(r + 4)
Let u(z) be the first derivative of -z**7/126 - z**6/18 - 73*z - 2. Let k(n) be the first derivative of u(n). Factor k(p).
-p**4*(p + 5)/3
Suppose -17/5*y**2 + 1/5*y**3 - 1/5*y + 9/5 + 8/5*y**4 = 0. What is y?
-9/8, -1, 1
Let t(r) = r + 11. Let l be t(-9). Factor 27*i**2 + l - 27*i + 51*i + 5*i.
(i + 1)*(27*i + 2)
Suppose -4*w - 50 = -54*w. Let l be (-32)/(-72)*(11/8 - w). What is n in l*n**3 + 1/6*n + 0 - 1/3*n**2 = 0?
0, 1
Determine t, given that 1/2*t**3 - 72*t**2 - 26136 + 2970*t = 0.
12, 66
Suppose -26568 = -20*i + 8252. Let w = i + -1736. Factor -50/3*r**2 + 2/3*r**w + 38/3*r**3 + 32/3*r - 14/3*r**4 - 8/3.
2*(r - 2)**2*(r - 1)**3/3
Factor -686/5 + 84/5*w + 2/5*w**2.
2*(w - 7)*(w + 49)/5
Let r(n) be the first derivative of -5 + 35/2*n**2 + 0*n - 1/540*n**5 - 5/216*n**4 - 1/9*n**3. Let a(x) be the second derivative of r(x). Factor a(u).
-(u + 2)*(u + 3)/9
Determine o, given that -34/7*o - 3/7 - 11/7*o**2 = 0.
-3, -1/11
Let s(q) be the second derivative of -q**5/30 + 47*q**4/6 - 2209*q**3/3 + 103823*q**2/3 - 24*q - 24. Factor s(a).
-2*(a - 47)**3/3
Let 72*x**2 + 12*x - 76*x**2 + 686 + 266 = 0. What is x?
-14, 17
Factor -1/3*p**2 - 169/3*p + 0.
-p*(p + 169)/3
Let w be (350/(-224))/(7/(-4 + -248)). Let -21/4*d**2 - 3/4*d**3 + 15/4*d + w = 0. What is d?
-5, 3
Suppose -3*z - 36 = o, o - 3*z + 8504 - 8546 = 0. Factor 1/8*w**4 + 3/4*w**2 + 0 + 0*w - 5/8*w**o.
w**2*(w - 3)*(w - 2)/8
Let r(s) be the second derivative of -s**6/5 - 15*s**5/8 - 21*s**4/4 - 25*s**3/4 - 3*s**2 + 168*s + 2. Find t such that r(t) = 0.
-4, -1, -1/4
Let s(o) be the first derivative of -14 + 4/3*o**3 + 16*o**2 + 28*o. Let s(j) = 0. What is j?
-7, -1
Factor -2/7*v**2 + 80 - 66/7*v.
-2*(v - 7)*(v + 40)/7
Suppose -6*r + 39 = 21. Let h be (-3)/3 - (4 - (7 + r)). Let -6*f - 14*f**3 + h*f**3 - 15*f**2 + 277 - 277 = 0. Calculate f.
-1, -2/3, 0
Suppose 41*l + 6*l - 203 = -62. Let w(c) = -c + 6. Let z be w(4). Find d such that 1/4*d**l + 9/2*d**z + 54 + 27*d = 0.
-6
Factor 195*r - 1/6*r**2 - 114075/2.
-(r - 585)**2/6
Let n(u) be the first derivative of 142*u**3/15 + 3*u**2/5 + 5601. Factor n(m).
2*m*(71*m + 3)/5
Suppose 718*u - 6070 - 25678 + 1592 = 0. Factor 2/3*k**4 + 882*k**2 + 6174*k + 0 + u*k**3.
2*k*(k + 21)**3/3
Let l be 5*(-1)/(25/(-40)). Suppose -18*j = -22*j + 16. Factor l*a + 4*a**3 - 4*a**3 - 3*a**3 - j - a**2.
-(a - 1)*(a + 2)*(3*a - 2)
Let i(c) = 27*c**3 - 297*c**2 + 507*c - 129. Let m(b) = 27*b**3 - 297*b**2 + 508*b - 128. Let q(u) = 7*i(u) - 6*m(u). Factor q(l).
3*(l - 9)*(3*l - 5)*(3*l - 1)
Let y = 906 - 930. Let s be y/4 + 4/((-12)/(-33)). Determine i so that 0 - 1/3*i**2 + 0*i - i**4 - i**3 - 1/3*i**s = 0.
-1, 0
Let i(r) = -6*r - 40. Let g be i(-7). Suppose 162 + g = 4*p. Factor 91*l - 3 - 41*l + 12*l**2 - p*l.
3*(l + 1)*(4*l - 1)
Let g = 47/22 - -4/11. Let t = 18741/37474 - 2/18737. What is b in t*b**5 - b**2 - g*b - 1 + 2*b**4 + 2*b**3 = 0?
-2, -1, 1
Suppose 2*b + 5*j = -3*b - 55, -4*b - 2*j - 46 = 0. Let f = 7 - b. Solve 5*a**4 + f*a**3 - 20*a + 125 - 140 + a**3 + 10*a**2 = 0 for a.
-3, -1, 1
Let u(q) = 3*q**3 + q**2 - q - 1. Let z be u(1). Suppose 46 - 34 + 8*i + 2*i**z + 3*i - 3*i**2 = 0. Calculate i.
-1, 12
Suppose 1133*y