l**2 + 0*l + v*l**3 - 8/7*l**4 + 0 + 2/7*l**s.
2*l**3*(l - 2)**2/7
Suppose -3/2*z**2 - 286 - 430*z = 0. What is z?
-286, -2/3
Let w(c) = 5*c**4 + 15*c**3 - 200*c**2 - 360*c - 10. Let b(f) = 3*f**3 - f**2 - 2*f - 2. Let s(m) = -5*b(m) + w(m). Factor s(u).
5*u*(u - 7)*(u + 2)*(u + 5)
Factor -162784*o**4 + 162787*o**4 - 4723*o + 22039*o + 22*o**3 + 3297*o**2 + 14196 + 158*o**3.
3*(o + 1)*(o + 7)*(o + 26)**2
Let q be -3*(-28)/42 + 124/(-66). Let v(l) be the second derivative of 0 - 1/22*l**4 + q*l**3 - 1/55*l**5 + 1/165*l**6 - 12*l + 4/11*l**2. Factor v(n).
2*(n - 2)**2*(n + 1)**2/11
Suppose 0 = -27*u + 57*u - 29*u - 2. Factor 1/4*i - 1/4*i**u + 0.
-i*(i - 1)/4
Let g(u) be the first derivative of -5*u**4/4 - 785*u**3/3 + 5*u**2/2 + 785*u + 1579. Factor g(j).
-5*(j - 1)*(j + 1)*(j + 157)
Let k(c) be the first derivative of -c**4/4 + 323*c**3/3 - 12960*c**2 - 26244*c + 458. Let k(i) = 0. Calculate i.
-1, 162
Let y(p) be the first derivative of 109 + 1/3*p**3 - 23*p**2 + 529*p. Factor y(t).
(t - 23)**2
Let w(x) be the third derivative of x**6/30 - 4*x**5/15 - 10*x**4/3 + 32*x**3 - 2*x**2 + 240*x - 2. Determine r, given that w(r) = 0.
-4, 2, 6
Let y(r) = 7*r**2 + 4080*r + 4076349. Let x(o) = -o**2 - 7*o + 2. Let s(w) = -30*x(w) - 5*y(w). Solve s(p) = 0.
-2019
Let f = 139 - 133. Factor 3*r**2 - f*r**3 + 13*r - 3*r**4 + 10*r - 17*r.
-3*r*(r - 1)*(r + 1)*(r + 2)
Let k(x) be the third derivative of -x**5/15 - 3*x**4 + 38*x**3/3 - 1174*x**2. What is u in k(u) = 0?
-19, 1
Let h(n) be the second derivative of n**4/6 + 12*n**3 - 1706*n. Factor h(y).
2*y*(y + 36)
Let c(h) be the first derivative of h**6/2 + 51*h**5 - 795*h**4/4 - 85*h**3 + 396*h**2 + 2581. Let c(b) = 0. Calculate b.
-88, -1, 0, 1, 3
Let b(f) = 3*f**4 + 85*f**3 - 2*f**2 - 2*f + 4. Let a(t) = -9*t**4 - 254*t**3 + 7*t**2 + 7*t - 14. Let i(h) = -2*a(h) - 7*b(h). Factor i(c).
-3*c**3*(c + 29)
Let o be 0/12*(-2)/(-4) + 3. Suppose 2*h + 7*u + 20 = o*u, 0 = 2*h - 2*u - 10. Factor h*p + 0*p**3 + 8/15*p**2 + 0 - 2/15*p**4.
-2*p**2*(p - 2)*(p + 2)/15
Let o(n) be the third derivative of 1/56*n**8 + 11/20*n**6 + 0 + 0*n - 1/5*n**5 - 3*n**4 - 31*n**2 + 13/70*n**7 - 9/2*n**3. Determine g so that o(g) = 0.
-3, -1, -1/2, 1
Let d be (-4)/(-7)*7/2. Let k = 131537/9 + -14615. Factor -4/9 - k*u + 2/9*u**d.
2*(u - 2)*(u + 1)/9
Let o be -3 - (1 + -10 - -3). Suppose o*a - 44 = 4*g, -a + 2*g + 12 = -6. Let -6*z**2 + 8*z**2 + a - 12*z**3 - 6*z**2 - 4*z**4 + 12*z = 0. Calculate z.
-2, -1, 1
Determine i so that -364765*i**2 - 153155*i**2 - 3937*i**4 + 3936*i**4 - 1247*i**3 + 71991296 - 71472128*i = 0.
-416, 1
Let f(b) be the third derivative of -1/3*b**3 + 1/30*b**5 + 3 + 12*b**2 + 0*b + 0*b**4. Determine j so that f(j) = 0.
-1, 1
Determine d so that -22090 - 2/5*d**3 - 22278*d - 942/5*d**2 = 0.
-235, -1
Let u(k) = -2698*k**3 + 2719*k**2 - 3*k + 6. Let c(n) = 8096*n**3 - 8158*n**2 + 11*n - 17. Let h(r) = 6*c(r) + 17*u(r). Suppose h(l) = 0. Calculate l.
0, 3/542, 1
Let h(d) = -67*d - 533. Let n be h(-8). Let z(x) be the third derivative of 0*x - 8*x**2 + 0 + 1/8*x**4 - 1/40*x**5 - 1/4*x**n. Suppose z(m) = 0. What is m?
1
Let h be ((-125532)/(-162))/22 + -17. Factor 16/3 - 14/9*x**2 - h*x.
-2*(x + 12)*(7*x - 2)/9
Suppose 238 = 22*t - 15*t. Suppose 76 = 5*a - 2*l, 4*a - t = l + 25. Let -5*w**2 - 6 + 30*w - 33 + a = 0. Calculate w.
1, 5
Let r = -3/863 - -1789/18123. Let j(f) be the third derivative of 1/21*f**4 + 0*f**3 - 17*f**2 + 0*f + 5/84*f**6 + 0 + r*f**5. Suppose j(i) = 0. What is i?
-2/5, 0
Let s(c) = 3*c**3 + 221*c**2 + 3005*c - 16. Let o be s(-18). Factor 0*i + 50/7 - 2/7*i**o.
-2*(i - 5)*(i + 5)/7
Let x(r) be the second derivative of 11*r**6/225 + 163*r**5/150 + 487*r**4/90 + 269*r**3/45 - 22*r**2/5 - 11*r. Find n, given that x(n) = 0.
-11, -3, -1, 2/11
Let a(f) be the first derivative of -f**8/6720 - 17*f**7/3360 - f**6/18 - 2*f**5/15 - f**3/3 + f - 23. Let m(w) be the third derivative of a(w). Factor m(b).
-b*(b + 1)*(b + 8)**2/4
Let f be ((-18)/2)/3 + 1 + 7. Suppose -5*z + 3*q + 12 = 0, -10 = -f*z - 2*q + 7*q. Factor 3*b - 12 - 1 + z*b**2 + 7.
3*(b - 1)*(b + 2)
Let w(t) = -t**2 - 3*t - 1. Let s(h) = -2*h**2 - 518*h - 3. Let v(i) = s(i) - 3*w(i). Factor v(c).
c*(c - 509)
Suppose -b = 4 - 6. Suppose 5*g - b*g = 30. Let -g*c**2 + 60*c - 6 - 1 + 4*c**3 - 29 - 18*c**2 = 0. What is c?
1, 3
Let z(w) be the second derivative of w**4/6 - 16*w**3/3 - 33*w**2 + 9*w + 1. Let l(c) = c**2 - 32*c - 65. Let a(s) = 6*l(s) - 5*z(s). Let a(h) = 0. Calculate h.
-5, -3
Let b(h) be the first derivative of -13*h**4/4 + 7*h**3/3 + 3*h**2 + 1634. Factor b(x).
-x*(x - 1)*(13*x + 6)
Let s(b) = b**3 - 15*b**2 - 33*b - 14. Let x be s(17). Factor -5*h**3 - 4*h**x - 5*h**3 - h**3 + 39*h**2 + 78*h + 24.
-3*(h - 4)*(h + 1)*(5*h + 2)
Suppose -3*q - 1 = -4. Let z be -1 + 3 + 1 + q/(-1). Determine w, given that 3 - 4*w**3 - 55*w + 59*w + w**2 - w**4 - 3*w**z = 0.
-3, -1, 1
Let v = -538 - -544. Let n be ((-144)/(-462))/v*7. Suppose -n*b**2 + 2/11*b + 0 + 2/11*b**3 = 0. What is b?
0, 1
Let s(k) = 3*k + 104. Let f be s(-20). Let y be ((-5)/(f - 4))/(-1). What is r in -1/8*r**2 + 0*r + y = 0?
-1, 1
Let k = 417 + -17. Let k - 3*a**3 - 296*a**2 - 157*a**3 - 11*a**4 - 12*a**4 + 80*a - a**5 = 0. What is a?
-10, -2, 1
Let y(m) be the third derivative of -m**8/151200 - m**7/12600 + m**6/300 - 29*m**5/30 + 6*m**2 - 3*m. Let h(u) be the third derivative of y(u). Factor h(t).
-2*(t - 3)*(t + 6)/15
Let q(c) be the first derivative of -c**4/78 + 4*c**2/13 - 109*c - 13. Let s(f) be the first derivative of q(f). Factor s(o).
-2*(o - 2)*(o + 2)/13
Determine p, given that 56/3 - 41/6*p**2 + 1/6*p**4 + 0*p**3 - 12*p = 0.
-4, 1, 7
Factor -243 - 134*h**2 - 126*h**2 + 244*h - 129*h**2 + 515*h**2 - 127*h**2.
-(h - 243)*(h - 1)
Factor 278*q**3 - 2*q**2 - q**2 - 279*q**3 + 72 + 13*q - 4*q**2 + 13*q.
-(q - 4)*(q + 2)*(q + 9)
Suppose 0*b = 2*b. Suppose b = -2*f + 2 + 2. Solve 10*r**4 + 2*r**5 + 0*r**2 - 12*r**3 + 26*r**3 - f*r**2 - 6*r - 10*r - 8 = 0 for r.
-2, -1, 1
Let l = -136212/11 - -136244/11. Factor l + 2/11*n**3 + 18/11*n**2 + 48/11*n.
2*(n + 1)*(n + 4)**2/11
Let 35/2*x**3 + 5/4*x**4 + 0 + 215/4*x**2 + 75/2*x = 0. Calculate x.
-10, -3, -1, 0
Let j(x) = -x - 5. Let u be j(-13). Factor 205 + 10*y - 63 + 4*y**2 - 66 - 2*y**5 - 72 - u*y**3 - 8*y**4.
-2*(y - 1)*(y + 1)**3*(y + 2)
Let k be (-585)/(-15) - 0/(-2). Let p = k - 38. Factor p - 24*q**4 + 35*q**3 - 39*q**3 + 4*q**2 - 1.
-4*q**2*(2*q + 1)*(3*q - 1)
Let h be 70/144 + ((-18)/(-324))/(1/(-8)). Let l(c) be the first derivative of 0*c**4 + 0*c + 0*c**2 - h*c**6 + 0*c**3 + 6 - 1/20*c**5. Factor l(s).
-s**4*(s + 1)/4
Let x(z) be the first derivative of -11*z**5/25 - 7*z**4/4 - 2*z**3/5 + 22*z**2/5 + 8*z/5 + 1262. Suppose x(f) = 0. What is f?
-2, -2/11, 1
Factor 196/5*m**2 + 38/5 + m**3 + 229/5*m.
(m + 1)*(m + 38)*(5*m + 1)/5
Let s = -2942 + 5919/2. Let o(x) be the first derivative of 10*x - 25/3*x**3 + 5*x**4 - s*x**2 - 5. Factor o(c).
5*(c - 2)*(c + 1)*(4*c - 1)
Let r = 1/5831 + 831/11662. Let z(v) be the second derivative of -16*v + 0 + 0*v**4 + 1/140*v**5 + 1/7*v**2 - r*v**3. Factor z(b).
(b - 1)**2*(b + 2)/7
Suppose 50 = 5*o - 25. Suppose o*x - 13*x - 2*b - 12 = 0, 0 = 5*x + b - 6. Suppose -6*f**x - 57*f + 61*f + 4*f**3 - 2*f**3 = 0. Calculate f.
0, 1, 2
Suppose 5*m = -3*s + 22, 4*s - 12 = -2*m + 4*m. Solve 447*v**4 - 152*v**2 - 100*v**m + 535*v**3 - 876*v + 28*v**4 - 495*v**5 - 243*v**2 + 836*v + 20 = 0.
-1, -2/9, 2/11, 1
Let r(s) = 15*s - 27. Let d(v) = -10 + v**2 - 5 + 23 - 7 - 4*v. Let m(p) = -d(p) - r(p). Find b such that m(b) = 0.
-13, 2
Suppose -8*x = -12*x + q + 1, -5*x - 20 = 3*q. Let b be 0/((x - -3)*11/(-22)). Suppose 5*a**3 + 1/3*a + b + 7/3*a**2 + 13/3*a**4 + 4/3*a**5 = 0. What is a?
-1, -1/4, 0
Let s(d) = 47*d**3 - 58*d**2 + 152*d - 70. Let f(a) = 4*a**3 - a - 2. Let q(x) = -11*f(x) + s(x). Determine n so that q(n) = 0.
1/3, 3, 16
Let y be (100/(-40))/(715/(-52)). Factor -48/11 + 20/11*r + y*r**2.
2*(r - 2)*(r + 12)/11
Suppose -907*x = -931*x + 96. Let w be (-3)/6 - 4/(-4). Determine b, given that 1/2 - b**2 - w*b**5 + b**3 + 1/2*b**x - 1/2*b = 0.
-1, 1
Factor -1277/9*c**2 - 67/9*c**3 - 1922/3 - 1/9*c**4 - 5177/9*c.
-(c + 2)*(c + 3)*(c + 31)**2/9
Let v(s) be the third derivative of -s**6/2160 + s**