hat 0 + 2/3*t + 1/3*t**2 - 1/3*t**q = 0.
-1, 0, 2
Suppose -31*c - 76 + 1192 = 0. Suppose 2161*s - 2167*s = -c. Find q, given that 3/2*q**4 + 27/2*q**2 + 9*q**3 + 0 + s*q = 0.
-4, -1, 0
Suppose -14 = -f - 3*x, 2*f + 2 = f + x. Factor 3 - 15*v + 2*v**f + 21*v - 3.
2*v*(v + 3)
Let n(o) be the second derivative of 10/9*o**3 - 2*o - 36 - 37/36*o**4 - 2/3*o**2 + 1/2*o**5 - 1/10*o**6. Solve n(p) = 0 for p.
2/3, 1
Let q(h) = 2*h**3 - 1. Let s(v) = -11*v**3 - 12*v + 16. Let x(u) = -5*q(u) - s(u). Let d be x(1). Solve 0*a + 0 + 5/4*a**3 - 1/2*a**4 - 5/4*a**5 + 1/2*a**d = 0.
-1, -2/5, 0, 1
Let d(q) be the second derivative of -q**6/280 + q**4/14 + 75*q**2/2 + q + 33. Let v(u) be the first derivative of d(u). Factor v(z).
-3*z*(z - 2)*(z + 2)/7
Factor -37*z**3 + 10*z - 15*z**2 - 31*z**3 + 8*z**3 - 4*z**4 - 31*z**4.
-5*z*(z + 1)**2*(7*z - 2)
Let b(j) be the first derivative of 529*j**5/30 + 23*j**4 + 12*j**3 + j**2/2 + 27*j + 84. Let s(u) be the second derivative of b(u). Factor s(w).
2*(23*w + 6)**2
Let j = 39 + -42. Let w be 588/63 - 2/j. Factor 16*f**2 - 23*f**3 + 0*f + w*f**3 + 17*f**3 + 12*f.
4*f*(f + 1)*(f + 3)
Factor 0 + 16/9*f**2 + 14/9*f**5 - 10/9*f - 32/9*f**4 + 4/3*f**3.
2*f*(f - 1)**3*(7*f + 5)/9
Let b(x) be the second derivative of -2/25*x**5 + 136*x - 9/5*x**2 + 0 + 28/15*x**3 + 11/10*x**4. What is g in b(g) = 0?
-1, 1/4, 9
Factor 225/4 - 3/4*v**3 + 27/4*v**2 + 255/4*v.
-3*(v - 15)*(v + 1)*(v + 5)/4
Let i = -3359555/8 - -419945. Factor 1/8*r**4 - 1/8*r**3 - 3/8*r**2 + i*r - 1/4.
(r - 1)**3*(r + 2)/8
Let h(d) = 28*d + 31. Let y be (-1)/2*43/((-344)/(-16)). Let k be h(y). Factor 21/5*s**2 - 36/5 - 12/5*s - 3/5*s**k.
-3*(s - 6)*(s - 2)*(s + 1)/5
Let x(z) be the third derivative of -z**5/270 + 619*z**4/36 + 56*z**2 - 24*z. Factor x(r).
-2*r*(r - 1857)/9
Let k(z) be the first derivative of -z**3/3 - 63*z**2/2 + 340*z - 2179. Factor k(f).
-(f - 5)*(f + 68)
Let q = -566 - -578. Let 19 - 4*o**2 - 64*o - q*o**2 - 16*o**2 - 4*o**4 + 28*o**3 - 19 = 0. Calculate o.
-1, 0, 4
Factor -144/7 + 124/7*t + 2/7*t**3 - 30/7*t**2.
2*(t - 9)*(t - 4)*(t - 2)/7
Let l be 45/(-25) + (-11008)/(-560). Determine d, given that -74/7*d**3 + 110/7*d**2 + 75/7*d + 15/7*d**4 - l - 1/7*d**5 = 0.
-1, 1, 5
Let x(r) be the second derivative of r**5/10 - 4*r**4 + 7*r**3 + 46*r**2 + 88*r + 6. Find s, given that x(s) = 0.
-1, 2, 23
Let x(i) be the first derivative of -i**5/70 - i**4/21 + i**3/21 + 2*i**2/7 - 2*i - 121. Let s(t) be the first derivative of x(t). Let s(c) = 0. What is c?
-2, -1, 1
Let i(f) = -76*f**3 - 1552*f**2 - 8900*f - 96. Let w(g) = 7*g**3 + 141*g**2 + 809*g + 9. Let p(s) = -3*i(s) - 32*w(s). Suppose p(m) = 0. What is m?
-29, -7, 0
Let x(j) = 34*j**3 - 25*j**2 - 634*j + 409. Let s(i) = 8*i**3 - 6*i**2 - 152*i + 102. Let y(k) = 9*s(k) - 2*x(k). Find a such that y(a) = 0.
-5, 1, 5
Let u = -253 + 249. Let i(d) = -d**2 - 6*d - 12. Let k(l) = -5*l**2 - 25*l - 45. Let n(r) = u*k(r) + 15*i(r). Let n(q) = 0. Calculate q.
-2, 0
Let n(q) be the second derivative of -1/24*q**5 + 0*q**2 + 1/9*q**4 - 8*q - 1/9*q**3 + 1/180*q**6 + 0. Solve n(f) = 0 for f.
0, 1, 2
Let i(j) be the first derivative of -j**4 + 10*j**3/3 + 11*j**2 - 28*j - 873. Factor i(m).
-2*(m - 1)*(m + 2)*(2*m - 7)
Let p(s) be the third derivative of -1/1050*s**7 + 0*s**3 - 8*s**2 + 4 + 1/100*s**5 + 0*s**6 + 0*s - 1/60*s**4. Factor p(o).
-o*(o - 1)**2*(o + 2)/5
Suppose 4*w + 41 = l, -4*l + 11*w = 12*w - 79. What is t in 21*t**3 + 32*t - 2*t**2 - 2*t**4 - 18*t**3 + l*t**3 - 2*t**5 + 23*t**2 + 35*t**2 = 0?
-2, -1, 0, 4
Let q(y) be the first derivative of y**6/6 + 7*y**5/5 - 99*y**4/4 + 99*y**3 - 135*y**2 - 2808. Factor q(d).
d*(d - 3)**2*(d - 2)*(d + 15)
Let t = 67 + -65. What is x in -14*x**4 + 8*x - 44*x**3 - 124*x**2 + 104*x**2 - t*x**4 = 0?
-2, -1, 0, 1/4
Factor -3*o**2 - 1 - 10/3*o - 2/3*o**3.
-(o + 1)*(o + 3)*(2*o + 1)/3
Let t(j) = j**2 - 15*j + 34. Let y be t(16). Let l be 5/2 - 25/y. Find r, given that 0 + 0*r**l + 0*r + 2/3*r**3 = 0.
0
Let c(t) = 1682*t**2 + 1631*t + 371. Let w(l) = 1682*l**2 + 1632*l + 368. Let b(m) = -8*c(m) + 7*w(m). Factor b(j).
-2*(29*j + 14)**2
Suppose 108*x = 117*x - 18. Factor -2*z**3 + 8*z**3 - x*z**5 - 4*z**3.
-2*z**3*(z - 1)*(z + 1)
Let d(c) be the first derivative of -4*c**5/5 + 35*c**4 - 1036*c**3/3 + 450*c**2 - 3769. Factor d(s).
-4*s*(s - 25)*(s - 9)*(s - 1)
Let n(v) = 34*v - 5. Let z(m) = 33*m - 12. Let d(f) = 3*n(f) - 4*z(f). Let l be d(1). What is o in -1/2*o**4 + 0*o + 1/2*o**2 + 0 + 0*o**l = 0?
-1, 0, 1
Determine i so that -49/2*i**2 + 187/2*i**3 + i - 70*i**4 + 0 = 0.
0, 1/20, 2/7, 1
Let q be 100540/(-12540) - (-9 + 1). Let g = q - -305/57. Determine z so that -4/3*z**2 - g*z + 16 = 0.
-6, 2
Let s(n) be the second derivative of n**5/10 + 4*n**4/3 - 35*n**3/3 - 150*n**2 + 4873*n. Determine b so that s(b) = 0.
-10, -3, 5
Let w(c) = c**3 - 10*c**2 + 14*c + 49. Let t be w(7). Let l(d) be the first derivative of -2 + 8*d - 2/3*d**3 + t*d**2. Factor l(k).
-2*(k - 2)*(k + 2)
Let c be -1*(-1)/3*0. Suppose c*t = 5*t - 10. Suppose -2 + 5 - 7 - 6*y - 2*y**t = 0. Calculate y.
-2, -1
Let h(s) be the second derivative of s**4/84 - 25*s**2/14 + 948*s + 2. Suppose h(w) = 0. Calculate w.
-5, 5
Let q(p) = 178*p - 174. Let u be q(1). Let m be (595/570)/17 + u/38. Let -2/3*i**2 - 1/3 - m*i**3 - 5/6*i = 0. Calculate i.
-2, -1
Let o(b) be the third derivative of -2/3*b**3 + 0 + 1/15*b**4 + 0*b + 1/300*b**5 - 314*b**2. Factor o(l).
(l - 2)*(l + 10)/5
Let v = 1002992 + -1002990. Solve -1/3*w**v - 3136/3 + 112/3*w = 0.
56
Let o be ((-2)/(-9))/((-5)/(-15)). Let x be (-1)/((-4)/32 + 21/(-56)). Factor 0 + 2/3*m**x + o*m.
2*m*(m + 1)/3
Let a(q) be the third derivative of -q**7/1050 + 29*q**6/600 - 31*q**5/50 - 9*q**4/5 + 14442*q**2. Solve a(s) = 0 for s.
-1, 0, 12, 18
Let h(o) be the second derivative of -o**5/80 + 35*o**4/48 - 32*o**3/3 - 165*o**2/2 + 12515*o. Factor h(g).
-(g - 22)*(g - 15)*(g + 2)/4
Let a(k) be the first derivative of k**3/5 - 309*k**2 + 159135*k + 7971. Solve a(u) = 0 for u.
515
Let h(x) be the second derivative of 0*x**4 - 16 + 0*x**2 + 0*x**3 + x - 1/18*x**6 + 5/24*x**5 + 1/252*x**7. Suppose h(v) = 0. What is v?
0, 5
Let o(p) = -2*p**5 + 8*p**4 - 12*p**2 - 6*p + 8. Let n = 9 - 13. Let y(l) = l**4 - l**3 - l**2 - l + 1. Let b(x) = n*y(x) + o(x). Find t such that b(t) = 0.
-1, 1, 2
Let h be ((-505)/60 - -8)/(95/(-2128)). Factor -16 + h*g - 2/3*g**2.
-2*(g - 12)*(g - 2)/3
Let o(y) = -15*y**3 + 7618*y**2 + 61495*y + 123613. Let x(a) = -21*a**3 + 10665*a**2 + 86094*a + 173058. Let m(c) = -18*o(c) + 13*x(c). Factor m(g).
-3*(g - 515)*(g + 4)**2
Suppose -4*u = -5*w + 24, -2*u - 9 = -w + 3*u. Let n(g) = -2*g**2 - 47*g - 145. Let y be n(-4). Factor -30*t**2 - 23*t - 5 - y*t**3 + 3*t - 5*t**w - 9*t**3.
-5*(t + 1)**4
Suppose -62*p + 107*p - 540 = 0. Let n be 676/96 + -6 + p/(-18). Find x, given that 0*x + n*x**2 + 0 = 0.
0
Let u(g) be the first derivative of -g**4/14 - 38*g**3/21 - 76*g**2/7 + 192*g/7 + 906. Find y, given that u(y) = 0.
-12, -8, 1
Let g(r) = -15*r**3 + 35*r**2 - 15*r - 5. Let p(j) = 53*j**2 - 3*j**3 - 35 + 27 - 22*j - 22*j**3 + 2*j**3. Let o(t) = 8*g(t) - 5*p(t). Solve o(b) = 0.
0, 1, 2
Determine a so that 170*a**3 + 7*a**4 + 500*a**2 + 10227*a**5 - 882 - 10226*a**5 + 15*a**4 + 189*a = 0.
-7, -6, -3, 1
Let a(z) = -z**2 + 184*z - 5098. Let w be a(34). Factor -3/7*j**w - 192/7 - 48/7*j.
-3*(j + 8)**2/7
Find z, given that 0 + 1/2*z**2 - 205/2*z = 0.
0, 205
Let h = -187 + 192. Suppose h*m + 2*x = 6, -6 = 4*m + m - 2*x. What is r in -r + m + 12*r**2 + 121/4*r**4 - 165/4*r**3 = 0?
0, 2/11, 1
Let d = -24699 - -24701. Factor 5/4*x**3 + 15/4*x**d + 15/4*x + 5/4.
5*(x + 1)**3/4
Let 72*y - 3/5*y**2 + 1488/5 = 0. Calculate y.
-4, 124
Let j(a) = 4426*a + 243432. Let i be j(-55). Factor 64/3*k + 28/3*k**i - 256/3 + 2/3*k**3.
2*(k - 2)*(k + 8)**2/3
Let v = 168 - 166. Suppose 4*y = -v*n + 8, -3*n + 3 - 1 = y. Factor -4/5*x**y + 2/5*x**3 + 4/5 - 2/5*x.
2*(x - 2)*(x - 1)*(x + 1)/5
Suppose -376/7*a + 2/7*a**4 + 754/7*a**2 - 380/7*a**3 + 0 = 0. What is a?
0, 1, 188
Let -292/3*d - 28/3*d**2 + 4/3*d**3 - 260/3 = 0. Calculate d.
-5, -1, 13
Let n(x) be the first derivative of x**6/57 - 34*x**5/19 + 165*x**4/19 - 980*x**3/57 + 325*x**2/19 - 162*x/19 + 1001. Find o, given that n(o) = 0.
1,