p**3 - w*p**4 - 2*p**2 - 1/2*p = 0?
-1, 0
Solve -2/7*w**3 + 0 + 0*w**4 + 0*w + 2/7*w**5 + 0*w**2 = 0 for w.
-1, 0, 1
Let j = 34147 - 34144. Factor -4/7*l**5 + 0 + 0*l + 0*l**4 + 0*l**2 + 4/7*l**j.
-4*l**3*(l - 1)*(l + 1)/7
Let k(q) = -7*q**4 + 10*q**3 - 3*q**2 + 2. Let v(l) = l**4 - l**3 + 1. Suppose 14 = -w + 13. Let s(c) = w*k(c) + 2*v(c). Factor s(r).
3*r**2*(r - 1)*(3*r - 1)
Let g(w) be the first derivative of -2*w**5/35 + 13*w**4/14 - 22*w**3/21 - 13*w**2/7 + 24*w/7 + 33. Let g(f) = 0. What is f?
-1, 1, 12
Let k = 75 + -70. Suppose -6 = -k*h + 2*l, 8*l = 5*l + 6. Find t, given that 0*t - 2/7*t**4 + 0*t**h + 0 + 0*t**3 = 0.
0
Suppose -32*f - 71*f - 18*f**2 - 26 + 22*f**2 = 0. Calculate f.
-1/4, 26
Let t be 138/(-14)*370/(-30). Let v = 122 - t. Let -3/7*s**2 + 0 - 3/7*s**5 + 3/7*s**4 + 0*s + v*s**3 = 0. Calculate s.
-1, 0, 1
Let 52/3*k - 58/3*k**2 + 112/3 + 2/3*k**3 = 0. Calculate k.
-1, 2, 28
Let c be ((-917)/262)/((-28)/16). Factor 0*x + 2/9*x**4 + 1/9*x**5 + 0 - 4/9*x**3 - 8/9*x**c.
x**2*(x - 2)*(x + 2)**2/9
Suppose -14*x**3 + 1148/5*x + 2/5*x**5 + 784/5 + 62*x**2 - 14/5*x**4 = 0. Calculate x.
-4, -2, -1, 7
Let m = 20 + -15. Find o, given that -5*o**5 + 10*o**3 - m*o - 10 - 4*o**5 + 4*o**5 - 10*o**4 + 0*o**5 + 20*o**2 = 0.
-2, -1, 1
Let y(t) = t. Let f(w) = 4*w**2 + w - 4. Let p(s) = -f(s) + y(s). Factor p(v).
-4*(v - 1)*(v + 1)
Let f(n) be the first derivative of -2*n**6/3 + 36*n**5/5 - 15*n**4 - 100*n**3/3 + 117. Factor f(z).
-4*z**2*(z - 5)**2*(z + 1)
Let c(h) = -h**3 + 44*h**2 - 2*h + 94. Let r be c(44). Suppose -3/2*n**4 + 9/2 - 6*n - 3*n**2 + r*n**3 = 0. Calculate n.
-1, 1, 3
Let t(q) = -q**2 + 18*q + 2. Let r be t(10). Factor r*m + 3*m**2 - 29*m - 38*m.
3*m*(m + 5)
Let z be (3 - 637/210)/(18/(-8) + 2). Determine b so that -z*b - 4/15*b**2 + 4/15*b**3 + 2/15 - 2/15*b**5 + 2/15*b**4 = 0.
-1, 1
Let n be 106/34 - (15 - (-5566)/(-374)). Let c(j) be the third derivative of 9/20*j**5 + 0 - 1/4*j**4 + 0*j - j**2 + 0*j**n. Factor c(r).
3*r*(9*r - 2)
Let p(s) = -s + 60. Let y be p(34). Suppose -y + 2 = -6*l. Let 2/3*d**2 + 0*d + 0*d**3 - 1/3*d**l - 1/3 = 0. Calculate d.
-1, 1
Suppose -16*f + 8*f**2 - 739 - 5*f**2 + f**2 + 719 = 0. What is f?
-1, 5
Let q(m) be the third derivative of m**8/10080 - m**6/1080 + m**4/144 - m**3 + 9*m**2. Let l(o) be the first derivative of q(o). Determine b so that l(b) = 0.
-1, 1
Let p = -637/9 + 71. Let v = -8/17 - -106/153. Factor 0 + 0*w - v*w**5 - 4/9*w**4 + 0*w**2 - p*w**3.
-2*w**3*(w + 1)**2/9
Let i(g) be the first derivative of -g**6/33 + 2*g**5/55 + 18. Find f such that i(f) = 0.
0, 1
Let f(l) be the second derivative of l**9/3024 - l**8/420 + l**7/168 - l**6/180 + 17*l**3/6 + 21*l. Let g(x) be the second derivative of f(x). Factor g(w).
w**2*(w - 2)*(w - 1)**2
Let w(l) be the first derivative of 5*l**3/3 + 75*l**2/2 + 70*l - 20. Factor w(q).
5*(q + 1)*(q + 14)
Let c(x) be the second derivative of -x**10/10080 + x**9/1680 - x**7/210 + 2*x**4/3 + 2*x. Let o(j) be the third derivative of c(j). Find p such that o(p) = 0.
-1, 0, 2
Let s(o) be the third derivative of 3*o**2 + 49/240*o**6 + 0 - 21/40*o**5 + 5/16*o**4 - 1/12*o**3 + 0*o. Suppose s(t) = 0. Calculate t.
1/7, 1
Let -60*o**3 - 9*o**4 + 2*o**3 + 29*o + 24*o**3 - 3*o - 15*o**2 - o**5 + 24 + 9*o**3 = 0. Calculate o.
-4, -3, -2, -1, 1
Let d(q) be the first derivative of q**4/15 + 32*q**3/15 + 128*q**2/5 + 25*q + 25. Let c(w) be the first derivative of d(w). Factor c(x).
4*(x + 8)**2/5
Let u(g) be the first derivative of g**5 - 15*g**4/2 + 65*g**3/3 - 30*g**2 + 20*g - 56. Factor u(b).
5*(b - 2)**2*(b - 1)**2
Suppose -20*k + 8 = -16*k. Let r be 2/k*3/(-15)*-1. Let 1/5*m**4 + 2/5*m + 0*m**2 - r - 2/5*m**3 = 0. What is m?
-1, 1
Let y = -4578/5 + 36629/40. Determine g so that 0 + y*g**4 + 15/8*g**3 + 75/8*g**2 + 125/8*g = 0.
-5, 0
Determine z, given that 108/5 - 2/5*z**3 + 24/5*z**2 - 18*z = 0.
3, 6
Suppose -2*r = 3*l + 8, -3*r - 1 = l + 4. Let a be (l - -4)*(-2)/(-1). Suppose 3*x**2 - 6 + 5 - 2*x - a*x**2 = 0. Calculate x.
-1
Factor -1/9*t**2 - 130/9*t - 4225/9.
-(t + 65)**2/9
Suppose 3*k - 9 - 3 = 0. Factor -3*o**2 + 0*o**4 + 9*o**4 - 2*o**2 - k*o**4.
5*o**2*(o - 1)*(o + 1)
Suppose -3*z = 2*b - 8, -5*z - b - 18 + 29 = 0. Factor 0 + 2*k**4 + 0*k**z + 0*k + 2/3*k**5 - 8/3*k**3.
2*k**3*(k - 1)*(k + 4)/3
Let r(n) be the third derivative of 7*n**6/180 + 61*n**5/90 - 43*n**4/9 + 44*n**3/9 - 2*n**2 + 13. Let r(k) = 0. What is k?
-11, 2/7, 2
Factor 2/5*w**3 - 1350 - 18*w**2 + 270*w.
2*(w - 15)**3/5
Let m(v) be the third derivative of 1/180*v**5 - 1/630*v**7 - 17*v**2 + 0*v**3 + 0*v - 1/360*v**6 + 0 + 1/72*v**4. Factor m(s).
-s*(s - 1)*(s + 1)**2/3
What is o in 0 + 10*o - 1/3*o**2 = 0?
0, 30
Let f be -286*1/(-14) + 9/(-21). Suppose -11 = g - 6, 0 = w + 4*g + f. Factor -1/8*y**5 + 0*y + w*y**3 + 0 + 0*y**2 - 1/8*y**4.
-y**4*(y + 1)/8
Suppose 0 = -3*y, -613*n + 617*n = y + 12. Let 2/11 - 4/11*l**2 + 0*l + 2/11*l**4 + 0*l**n = 0. Calculate l.
-1, 1
Suppose 3*y = -5*z + 5 + 71, -4*y = -2*z + 46. Let t = 20 - z. Suppose 9*k**t - k**2 + 12*k + 2*k**2 - 9*k - 10*k**2 - 3*k**4 = 0. What is k?
0, 1
Let f(w) be the first derivative of 10/21*w**3 - 18/7*w - 3/7*w**2 - 1/14*w**4 + 13. Factor f(d).
-2*(d - 3)**2*(d + 1)/7
Let x(p) be the first derivative of p**3/6 + 5*p**2/2 + 25*p/2 + 592. Factor x(z).
(z + 5)**2/2
Let j be 14/21 + 7/3. Let s(i) = -i**3 + 8*i**2 - 8*i + 9. Let c be s(7). Determine h, given that 0*h**3 - h - 3 + j*h**2 + 2 + h**3 - c*h**2 = 0.
-1, 1
Let c(h) = -h**3 + 8*h**2 - 15*h + 18. Let q be c(6). Let u(b) be the second derivative of q + 7*b + 1/54*b**4 + 1/9*b**3 + 2/9*b**2. Factor u(r).
2*(r + 1)*(r + 2)/9
Let d = -12 + 8. Let v(p) = p**3 + 2*p**2 - 6. Let q(f) = -f**3 - 3*f**2 - f + 7. Let s(z) = d*v(z) - 6*q(z). Suppose s(t) = 0. What is t?
-3, 1
Let z(a) be the third derivative of a**6/240 + 47*a**5/60 + 2209*a**4/48 - 232*a**2 - 1. Factor z(v).
v*(v + 47)**2/2
Let d be 2 + (0 - 4) + 6. Factor 11*w - 6*w - 5*w**2 - 5*w + 5*w**d.
5*w**2*(w - 1)*(w + 1)
Suppose 4*v - 8*v + 1096 = -2*k, -v + 280 = k. Factor -416*b + 36*b**3 + 28 + 142 + v*b**2 - 26.
4*(b + 9)*(3*b - 2)**2
Determine a so that -21*a + 484 + 4*a**2 + 0*a - 72*a + 5*a = 0.
11
Let u = 2 - 0. Let o = 52 - 49. Let u*g**2 + 0 - o*g**4 + 0 + g**4 = 0. What is g?
-1, 0, 1
Let i(n) be the third derivative of n**7/840 + n**6/80 - 5*n**5/48 + 3*n**4/16 - 32*n**2 + 2*n. Factor i(v).
v*(v - 2)*(v - 1)*(v + 9)/4
Suppose 2/7*r**4 + 0*r**3 - 16/7 + 36/7*r - 22/7*r**2 = 0. What is r?
-4, 1, 2
Let 0 - 13/3*h**2 + 14/3*h - 1/3*h**3 = 0. Calculate h.
-14, 0, 1
Let b(w) be the third derivative of 0 + 1/8*w**5 + 40*w**2 + 0*w + 57/16*w**4 + 11/2*w**3. Let b(v) = 0. Calculate v.
-11, -2/5
Suppose -6*z + 23 = -25. Let a be -3*(-6)/z*(-5)/(-15). Factor -3/4 + 3/2*b - a*b**2.
-3*(b - 1)**2/4
Let c(x) = -x**3 + 2. Let b be c(0). Let h be 611/282 - 1/6. Determine a, given that 0*a**2 + h*a**2 - 12*a**3 + a**b = 0.
0, 1/4
Let p be 1 - 0/2 - (3 - 17). Let u(q) = -2*q**2 + 19*q - 67. Let c(l) = l**2 - 10*l + 34. Let y(t) = p*c(t) + 6*u(t). Find j, given that y(j) = 0.
6
Let s = -1497 + 7489/5. Let 16/5 - s*r**2 + 0*r = 0. What is r?
-2, 2
Factor -9*r**2 - 8*r - 6 + 4*r**2 + 6*r**2 - 3*r**2.
-2*(r + 1)*(r + 3)
Let d(b) be the first derivative of -7 - 6*b + 111/10*b**2 - 7/5*b**3. Suppose d(l) = 0. What is l?
2/7, 5
Let p(s) be the second derivative of -s**4/42 - 34*s**3/21 - 197*s. Factor p(g).
-2*g*(g + 34)/7
Suppose -2*j - m = -10, m - 4*m = 4*j - 24. Suppose -4*g - b = -10 + j, b + 11 = 2*g. Let 2*x + 1 + 0*x**2 - 2*x**2 + g*x**2 = 0. Calculate x.
-1
Let f(o) be the third derivative of -1/20*o**5 + 0*o**3 + 0*o + 0*o**4 + 13*o**2 + 0. Factor f(x).
-3*x**2
Find s, given that -16/7 - 4/7*s**2 + 20/7*s = 0.
1, 4
Let f be 20/(-3) + (9 - 4) + 3. Let l(h) be the first derivative of -5 + f*h**3 - 8*h**2 + 16*h. Factor l(n).
4*(n - 2)**2
Let n(k) = -4*k**3 - 68*k**2 - 16*k - 8. Let l(u) = 3*u**3 + 45*u**2 + 10*u + 5. Let r(t) = 8*l(t) + 5*n(t). Suppose r(q) = 0. What is q?
-5, 0
Solve 16/5*w**4 - 64/5*w**3 + 72/5 + 4/5*w**5 + 12*w - 88/5*w**2 = 0.
-6, -1, 1, 3
Factor 0 + 2/9*o**3 - 4/9*o - 2/9*o**2.
2*o*(o - 2)*(o + 1)/9
Let h = -16332 - -65331/4. Let 9/4*a**2 - 3/4*a**5 + h*a**3 + 0*a + 0 - 9/4*a**4 = 0. Calculate a.
-