 -8/9*p**5 + 0*p**2 + 0 + 20/9*p**4 + j*p - 8/9*p**3 = 0 for p.
0, 1/2, 2
Solve 2/9*l**5 + 0 + 0*l - 22/9*l**4 - 56/9*l**2 + 64/9*l**3 = 0.
0, 2, 7
Let u(v) = v**4 - 208*v**3 + 2285*v**2 - 884*v. Let z(l) = -2*l**4 + 2*l**3 - 2*l**2 - l. Let d(x) = 3*u(x) - 6*z(x). Factor d(r).
3*r*(r - 21)**2*(5*r - 2)
Let t be (-1 - -9) + 3/(-1). Factor 11*d**3 + 4*d**2 - t*d**2 - 10*d**3.
d**2*(d - 1)
Let p = -659 + 663. Let z(b) be the second derivative of -1/24*b**3 - 3*b + 1/8*b**2 + 1/80*b**5 + 0 - 1/48*b**p. Factor z(k).
(k - 1)**2*(k + 1)/4
Let g(h) = -4*h**2 + 20*h + 6. Let u(i) = 3*i - 1 - 22*i**2 + 21*i**2 - 2*i. Let w(p) = g(p) - 6*u(p). Solve w(j) = 0.
-6, -1
Suppose -3*w - c - 58 = 0, -2*c = w - 4*c + 10. Let v = w - -22. Factor -11*q**4 + 4*q**4 + 7*q**4 + 7*q**5 + 5*q**v - 2*q**3.
q**3*(q + 1)*(7*q - 2)
Suppose -4*s - 2*z + 4 = 0, 2*s - z - 6 = -0. Let c be 7 - s - 323/76. Let -9/4 - c*q**2 - 3*q = 0. What is q?
-3, -1
Let m(o) be the second derivative of -o**6/60 + 13*o**5/40 - 55*o**4/24 + 25*o**3/4 - 47*o + 6. Solve m(n) = 0.
0, 3, 5
Let q = 1/229 - -685/458. Let a(u) be the second derivative of q*u**2 - 2*u + 0 - 3/4*u**3 + 0*u**4 + 3/40*u**5. Factor a(n).
3*(n - 1)**2*(n + 2)/2
Let g(u) be the first derivative of -u**4 - 24 + 10*u**2 - 8*u - 4*u**3 + 4/5*u**5. Determine y, given that g(y) = 0.
-2, 1
Let o(l) = 13*l**2 + 28*l + 113. Let x(z) = -7*z**2 - 14*z - 58. Let v(d) = -6*o(d) - 11*x(d). Find n such that v(n) = 0.
-10, -4
Find j such that -159/8*j**2 + 117/8*j**3 + 33/4*j - 21/8*j**4 + 0 - 3/8*j**5 = 0.
-11, 0, 1, 2
Determine d so that 3/4*d + 3/4*d**3 - 3*d**2 + 9/2 = 0.
-1, 2, 3
Let r(o) be the second derivative of -o**4/30 + 2*o**3/5 + 11*o**2 + 144*o - 3. Factor r(l).
-2*(l - 11)*(l + 5)/5
Let k(q) be the first derivative of -q**6/6 + 2*q**5/5 + 3*q**4/4 - 8*q**3/3 + 2*q**2 + 105. Factor k(w).
-w*(w - 2)*(w - 1)**2*(w + 2)
Factor -8/5*a**2 + 18/5*a - 4/5.
-2*(a - 2)*(4*a - 1)/5
Factor 4*k + 0 - 4/3*k**4 + 25/3*k**2 + 3*k**3.
-k*(k - 4)*(k + 1)*(4*k + 3)/3
Factor -6/17*l**4 + 24/17*l**2 + 0 + 0*l - 32/17*l**3.
-2*l**2*(l + 6)*(3*l - 2)/17
Let f = -118/27 - -644/135. Find u, given that -f + 8/15*u - 2/15*u**2 = 0.
1, 3
Let d(n) be the first derivative of n**6/1080 + n**5/30 + n**4/2 + 2*n**3/3 - 24. Let b(k) be the third derivative of d(k). Let b(v) = 0. What is v?
-6
Suppose 5*w = 12 - 2. Solve 8 + 6*c**w - 9*c + 3*c**3 - 8 = 0 for c.
-3, 0, 1
Let c(b) = 3*b - 4*b - 2*b**3 + 21 + 6*b**2 - 15. Let s be c(3). Factor 3/2 - 3/4*t**s + 7/2*t**2 - 17/4*t.
-(t - 3)*(t - 1)*(3*t - 2)/4
Let d(r) be the second derivative of -r**7/210 + 21*r**6/10 - 6162*r**5/25 - 6241*r**4/15 - 255*r. Solve d(q) = 0.
-1, 0, 158
Let j be 33384/10920 + 2/(-35). Factor 64/5 - 16/5*x**j + 0*x + 4/5*x**5 + 12/5*x**4 - 64/5*x**2.
4*(x - 2)*(x - 1)*(x + 2)**3/5
Let y(g) be the first derivative of 31*g**4/18 + 22*g**3/9 - 20*g**2/3 - 8*g/9 - 293. Solve y(f) = 0 for f.
-2, -2/31, 1
Suppose 24 = 2*w + 20. Let j(m) = m**3 - 3*m**2 + 7*m - 7. Let i be j(w). Find b such that i*b**2 - 6/5*b + 0 = 0.
0, 2/5
Let f(n) be the second derivative of -n**4/12 + 7*n**3/3 - 13*n**2/2 - n - 169. Determine p, given that f(p) = 0.
1, 13
What is l in 0 - 25/2*l**4 + 50*l**2 + 10*l - 10*l**5 + 75/2*l**3 = 0?
-2, -1, -1/4, 0, 2
Let f be ((-2)/10)/(-6 - (-267)/45). Suppose 3*q**3 - q**4 - 3*q**4 + 9*q**5 - 7*q**f - 5*q**5 + 4*q**2 = 0. What is q?
-1, 0, 1
Suppose -16 = -4*n - 5*m + 17, -4*n = 2*m - 18. Let f be n/5 - -2 - (-24)/(-60). Find c, given that -3/4*c**f + 3/4*c + 3/2 = 0.
-1, 2
Suppose -98 = -9*p - 62. Let z(s) be the second derivative of 1/180*s**6 + 0*s**2 - 2*s - 1/36*s**3 + 1/120*s**5 - 1/72*s**p + 0. Factor z(i).
i*(i - 1)*(i + 1)**2/6
What is n in 10*n**4 - 40*n**2 - 6*n**3 + 2*n**5 + 4*n**3 + 2*n**3 - 32*n = 0?
-4, -2, -1, 0, 2
Suppose -i - 28 = -4*i - 5*j, -5*i = -2*j + 5. Let n be (-1 + 18/15)/i. Suppose 0*p**2 + 1/5*p**3 + 0 - n*p = 0. Calculate p.
-1, 0, 1
Factor 0 - 34/7*r**2 - 32/7*r**3 + 2/7*r**4 + 0*r.
2*r**2*(r - 17)*(r + 1)/7
Let p(z) be the first derivative of 21 - 5/12*z**3 + 0*z**2 + 5/4*z. Find u such that p(u) = 0.
-1, 1
Factor 30 + 57/2*r - 3/2*r**2.
-3*(r - 20)*(r + 1)/2
Let h(r) = 17*r**3 + r**2 + 13*r + 3. Let q(o) = -4*o**3 - 3*o - 1. Let t be 15/(-20) + 321/12. Let a(x) = t*q(x) + 6*h(x). Determine k, given that a(k) = 0.
-1, 2
Let j be -3 - 205/(-35) - 5/(-35). Let c(b) be the first derivative of 4/7*b + j + 1/7*b**2 - 2/21*b**3. Factor c(p).
-2*(p - 2)*(p + 1)/7
Let f be (3094/210 - 15)/(1*-2). Solve -f*v**2 + 0 - 4/15*v = 0 for v.
-2, 0
Let p(f) be the first derivative of -13 + 0*f - 1/18*f**4 - 1/3*f**2 - 8/27*f**3. Factor p(n).
-2*n*(n + 1)*(n + 3)/9
Let w(k) be the first derivative of -k**6/12 + 7*k**5/10 + 84. Find j, given that w(j) = 0.
0, 7
Factor 5*h**2 + 0 - 1/2*h**3 - 21/2*h.
-h*(h - 7)*(h - 3)/2
Suppose 4*z + 2*m = -277 + 287, 3*z = -3*m + 9. Factor 0*t**z + 2/3 - t + 1/3*t**3.
(t - 1)**2*(t + 2)/3
Factor -284/5*h + 10082/5 + 2/5*h**2.
2*(h - 71)**2/5
Determine s, given that -70*s**4 - 50*s + 10*s**4 + 5*s**5 + 45*s**3 + 46*s**2 - 11*s**2 + 25*s**4 = 0.
-1, 0, 1, 2, 5
Determine v, given that 40/3 + 3*v**5 + 337/3*v**3 + 68*v + 40*v**4 + 130*v**2 = 0.
-10, -1, -2/3
Factor 16/11*p - 2/11*p**2 - 30/11.
-2*(p - 5)*(p - 3)/11
Let i(v) = 4*v**2 - 6*v + 12. Let u(k) = -k**2 - k - 2. Let f(r) = 2*i(r) + 4*u(r). Suppose f(z) = 0. What is z?
2
Factor 34 - k**2 - 11*k - 7*k + 3*k.
-(k - 2)*(k + 17)
Let r(z) be the second derivative of z**5/4 + 15*z**4/2 + 314*z. What is o in r(o) = 0?
-18, 0
Suppose 5375*t**3 + t - 5374*t**3 - t**2 + 3*t**2 = 0. What is t?
-1, 0
Suppose 0 = 6*f - 15 - 3. Factor -12*w**2 - 4*w + 1 + 4*w**f + 6*w**4 + 7 - 2*w**4.
4*(w - 1)**2*(w + 1)*(w + 2)
Let t be 46/4 - (-12)/8. Suppose t = 5*k - 2. Let 16*v**2 - v**2 + 15 + 51*v + k = 0. Calculate v.
-3, -2/5
Suppose -2 = -c + 3*i, -2*c - i = -5*c + 6. Let b(k) be the second derivative of 1/12*k**4 + 9/2*k**c + k**3 + 7*k + 0. Let b(w) = 0. What is w?
-3
Suppose -5*n = -0*n - 1215. Factor 2*t**3 + 2*t**2 + 243*t - n*t.
2*t**2*(t + 1)
Let g(h) = 9*h + 414 + 4*h + h**2 - 374. Let s be g(-8). Find j such that -3/4*j**3 + 1/2*j**2 + 0 + s*j = 0.
0, 2/3
Let o(h) be the first derivative of -14/5*h**5 + 53/12*h**3 - 25/8*h**2 + 2/3*h**6 + 9/16*h**4 - 6 + 3/4*h. Suppose o(x) = 0. What is x?
-1, 1/4, 1, 3
Suppose 4*j + 12 = -312*a + 310*a, -3*a - 18 = 4*j. Factor 4*q - 4/7*q**3 - 24/7 + j*q**2.
-4*(q - 2)*(q - 1)*(q + 3)/7
Let d(k) be the second derivative of k**7/84 + 3*k**6/20 + 7*k**5/20 - k**4/12 - 5*k**3/4 - 7*k**2/4 + 60*k + 2. Factor d(v).
(v - 1)*(v + 1)**3*(v + 7)/2
Let w be (18/4)/(-3)*(-30)/9. Suppose 4 = w*o - 3*o. Factor -32/11 - 16/11*f - 2/11*f**o.
-2*(f + 4)**2/11
Suppose -21 = -5*g - 2*k, -3*g = 5*k - 0*k - 5. Let d be g/((-8)/(5 + -1)) - -4. Factor d*a**4 - 3/2*a**2 + 0 - 3/4*a**5 + 3/4*a + 0*a**3.
-3*a*(a - 1)**3*(a + 1)/4
Let u(v) be the first derivative of 2/3*v + 8/9*v**3 - 2/15*v**5 - 1/6*v**4 + 9 - 7/6*v**2 + 1/18*v**6. What is z in u(z) = 0?
-2, 1
Suppose k + k - 32 = 0. Let y = 112 - 108. Factor -k*s**3 - 32/3*s**4 + y*s - 2/3*s**2 - 2/3.
-2*(s + 1)**2*(4*s - 1)**2/3
Let x(l) be the first derivative of l**3/3 + 7*l**2/4 + 3*l/2 + 764. Let x(t) = 0. Calculate t.
-3, -1/2
Factor 6*a**2 + 195*a - 7*a**2 - 37*a + 168 - 6409.
-(a - 79)**2
Let v(m) be the third derivative of m**6/30 - 8*m**5/5 + 30*m**4 - 800*m**3/3 - m**2 - 46*m. Factor v(t).
4*(t - 10)**2*(t - 4)
Let d(g) = -2*g**3 - 14*g**2 - 12*g + 96. Let c(p) = 5*p**3 + 29*p**2 + 23*p - 192. Let v(h) = 4*c(h) + 9*d(h). Factor v(r).
2*(r - 4)**2*(r + 3)
Let w(j) be the first derivative of j**4/24 - j**3/2 + j**2/2 + 8*j/3 + 58. Determine n, given that w(n) = 0.
-1, 2, 8
Factor -11*p**4 + 1534 + 264*p**2 + 72*p**3 - 2016*p + 7*p**4 + 7*p**4 + 818.
3*(p - 2)**2*(p + 14)**2
Let h(j) be the third derivative of -j**5/60 - j**4/12 + 4*j**3/3 - 2*j**2 + 27. Find l, given that h(l) = 0.
-4, 2
Let m be 5 - (-161)/(-28) - 905/(-1200). Let f(a) be the third derivative of 0*a + 0*a**3 - 1/90*a**5 + 0 - 1/144*a**4 + 2*a**2 - m*a**6. Factor f(t).
-t*(t + 1)*(3*t + 1)/6
Let i(u) = -2*u**5 - 17*u**4 - 64*u**3 - 64*u**2 + 3. Let l(b) = -b**4 - 1. Let w(h) = 2*i(h) + 6*l(h). Let w(z) = 0. What is z?
-4, -2, 0
Let j be (-284)