11/52. Determine m so that 1/4*m**4 + p*m + 0 - 1/4*m**l - 1/4*m**3 = 0.
-1, 0, 1
Let l(j) be the third derivative of -4/3*j**3 + 0 - 1/3*j**4 + 0*j + 3*j**2 - 1/30*j**5. Determine o so that l(o) = 0.
-2
Let v(y) be the third derivative of y**6/60 + y**5/15 - y**4/4 - y**2. Let v(t) = 0. Calculate t.
-3, 0, 1
Factor -2/3 - 2*b**2 - 2*b - 2/3*b**3.
-2*(b + 1)**3/3
Let 2/11*l**4 - 2/11 + 4/11*l - 4/11*l**3 + 0*l**2 = 0. What is l?
-1, 1
Let x be ((-20)/(-375))/(1/(-10)). Let i = 6/5 + x. Factor 0*b**3 + 0 + i*b**4 + 0*b**2 + 0*b.
2*b**4/3
Let -13*n**3 - 2*n**5 + 8*n**3 + 2*n**4 + 11*n**3 - 4*n - 2*n**2 = 0. What is n?
-1, 0, 1, 2
Factor 3*g**3 - 25*g + 10*g**2 + g**3 + g**3 - 30 + 0*g**3.
5*(g - 2)*(g + 1)*(g + 3)
Factor 0*t + 0 - 1/3*t**3 - t**2.
-t**2*(t + 3)/3
Let d be -3 - (-3 - (-3 - -3)). Factor 0*f + d*f**3 - 6*f + 4*f + 2*f**3.
2*f*(f - 1)*(f + 1)
Suppose 0 = -2*y + 1 + 3. Solve 13*u**4 + 100*u**y - 12*u**2 - 16*u - 140*u**3 + 37*u**4 = 0 for u.
0, 2/5, 2
Let y = -75 - -79. Let b(i) be the second derivative of 0 + 1/12*i**y + 2*i**2 - 2/3*i**3 + 4*i. Determine v, given that b(v) = 0.
2
Solve 2/17*n**3 + 0*n**2 + 0 - 2/17*n = 0 for n.
-1, 0, 1
Suppose 1/2*s - 3/2*s**2 + 3/2 - 1/2*s**3 = 0. Calculate s.
-3, -1, 1
Let u = -1/149 - -301/447. Suppose 1/3*p**2 - 1/3*p - u = 0. Calculate p.
-1, 2
Let a be ((3 - 0) + -3)*-1. Determine c so that 1/4*c**2 - 1/4*c + 1/4*c**3 - 1/4*c**4 + a = 0.
-1, 0, 1
Find l such that -51/4 + 3/4*l**2 - 12*l = 0.
-1, 17
Factor -3*j**2 + 7*j**2 - 3*j**2.
j**2
Let v be 43/9 - ((-44)/36 + 1). Let c(o) be the first derivative of 2/15*o**3 + 0*o**2 + 0*o**4 + 0*o - 3 - 2/25*o**v. Solve c(u) = 0 for u.
-1, 0, 1
Let s(q) = 3*q. Let a be s(1). Factor -f**3 + 6 + 3*f**2 - 2*f**a - 5 + 2*f**3 - 3*f.
-(f - 1)**3
What is u in -16*u**5 + 17*u**2 - 16*u**4 - u + 41*u**3 - 8*u**3 - 16*u**3 - 1 = 0?
-1, -1/4, 1/4, 1
Let j = -368/5 - -74. Solve 6/5*m + 4/5*m**2 + j = 0.
-1, -1/2
Let o = 7 + -3. Factor 2*k**5 + o*k**4 + 0*k**5 + 4*k**5 - 4*k**5.
2*k**4*(k + 2)
Suppose 0 = f - 1 - 2. Let m = -1 + f. What is x in -2*x**4 + 0*x**2 + 0*x**4 - 3*x**m + 5*x**4 = 0?
-1, 0, 1
Suppose -a + 15 = 4*f, 0*a + a = f. Factor t**f + 2 + 0 - 1 - t**2 - t.
(t - 1)**2*(t + 1)
Let 0 + 0*s + 2/3*s**2 = 0. Calculate s.
0
Factor 1/7*u**3 - 4/7*u + 0*u**2 + 0.
u*(u - 2)*(u + 2)/7
Suppose 6 = 5*k - 6*k. Let d(i) = 20*i**3 + 52*i**2 + 40*i + 8. Let b(q) = -q**2 - q**3 + 0*q**3 + 0*q**2. Let s(z) = k*b(z) - d(z). Let s(j) = 0. Calculate j.
-2, -1, -2/7
Suppose 3*v - 18 = -3*q + q, 31 = 5*q + 4*v. Determine f, given that -18*f**4 - 2 - q*f**5 + 0 - 48*f**2 - 4 - 27*f - 42*f**3 = 0.
-2, -1
Let i(s) be the first derivative of -3*s**4/4 - 2*s**3 + 12. Factor i(t).
-3*t**2*(t + 2)
Let q(i) be the second derivative of -i**4/14 + 2*i**3/21 + 9*i. Factor q(c).
-2*c*(3*c - 2)/7
Suppose -5 = 5*c - 5*k, -k - 2 = -4*c + k. Factor 8/3*f + 2/3*f**c + 8/3.
2*(f + 2)**2/3
Let j(n) be the second derivative of 2*n**6/105 - n**4/21 + 7*n. Determine y, given that j(y) = 0.
-1, 0, 1
Let f be -18 + 8 + 2/3. Let p = -9 - f. Solve -2/3*y - p*y**2 - 1/3 = 0.
-1
Suppose 5*a + 28 = 3. Let v = a - -16. Factor 20*d**3 - 18*d**2 - v*d**3 + 3*d + 18*d**3.
3*d*(3*d - 1)**2
Let p(u) = u**2 + 124*u - 851. Let j(a) = a**2 - a - 1. Let w(q) = 6*j(q) - p(q). Factor w(l).
5*(l - 13)**2
Factor 88/5*s**3 + 41/5*s**2 + 0 + s + 16/5*s**4.
s*(s + 5)*(4*s + 1)**2/5
Let j be 3 - (0 + 0)/(-3). Determine k so that 5*k - 3*k**3 + k**2 + 0*k - j*k = 0.
-2/3, 0, 1
Let u = 663 + -660. Factor 23*v**2 + 15*v**u + 9/2*v**4 + 33/2*v + 1/2*v**5 + 9/2.
(v + 1)**3*(v + 3)**2/2
Let d be 436/30 + 4/6. Let a = d - 12. Factor 0 - 1/5*t**2 - 8/5*t**3 + 0*t - a*t**4.
-t**2*(4*t + 1)**2/5
Let 0 + 0*a - 8/11*a**2 - 8/11*a**3 - 2/11*a**4 = 0. Calculate a.
-2, 0
Let q be -3 + (3 - 1) + 3. Suppose -24 = -5*s + v, q*s - s - 16 = 3*v. Solve 0*n - 2/9*n**s + 0 + 0*n**2 + 0*n**3 = 0.
0
Let k(g) = -20*g**3 + 4*g**2 + 20*g - 4. Let s(o) = -o**3 + o. Let u(p) = 2*k(p) - 44*s(p). Find t such that u(t) = 0.
-2, -1, 1
Let u be -3 + ((-27)/(-5) - 2). Let v be (-24)/(-135) - 4/(-18). Let 0*k + 2/5*k**3 - u*k**4 - 2/5*k**5 + v*k**2 + 0 = 0. Calculate k.
-1, 0, 1
Let q(v) be the second derivative of -v**7/480 - v**6/720 + v**3/3 - 3*v. Let s(u) be the second derivative of q(u). Suppose s(l) = 0. Calculate l.
-2/7, 0
Let t be (-2 - -1)*(-10 + 6). Factor 6*i - i**4 + 0*i**3 - 3*i**3 - 2*i**t - 3*i**3 + 3.
-3*(i - 1)*(i + 1)**3
Let q(x) = -7*x**4 - 9*x**3 - 3*x**2 + 9*x + 5. Let u(y) = 4*y**4 + 5*y**3 + 2*y**2 - 5*y - 3. Let c(z) = 3*q(z) + 5*u(z). Factor c(s).
-s*(s - 1)*(s + 1)*(s + 2)
Let h(g) be the second derivative of -g**5/20 - g**4/8 + 2*g**2 - 2*g. Let b(u) be the first derivative of h(u). Factor b(j).
-3*j*(j + 1)
Let d(j) be the second derivative of j**5/180 - j**3/18 + 3*j**2/2 + 7*j. Let t(n) be the first derivative of d(n). Factor t(m).
(m - 1)*(m + 1)/3
Factor 12/5*h - 36/5 - 1/5*h**2.
-(h - 6)**2/5
Let f = 12 + -4. Suppose f = 3*g + c, 5*g - 5*c = -0*c. Suppose 2*v**g + 3*v**2 - 2*v**2 - 3*v**3 = 0. What is v?
0, 1
Let q(j) = -j**2 - 5*j - 2. Let v be 70/(-15) + (-4)/(-6). Let n be q(v). What is a in 6/7*a**3 + 10/7*a**4 + 0*a + 0 - 4/7*a**n = 0?
-1, 0, 2/5
Suppose 2 = -4*t - 18, 3*h = 4*t + 65. Factor 27*f**3 + 14*f**4 - h*f**2 - 27*f + 3 + 7*f**4 - 9.
3*(f - 1)*(f + 1)**2*(7*f + 2)
Let g be (4/(-7) - -1)*(-105)/(-15). Let a(z) be the second derivative of -1/36*z**4 + 4*z + 0 - 1/3*z**g - 3/2*z**2. Solve a(f) = 0 for f.
-3
Let h(r) be the third derivative of 3*r**6/140 - 23*r**5/210 + r**4/14 + 8*r**3/21 + 57*r**2. Factor h(w).
2*(w - 2)*(w - 1)*(9*w + 4)/7
Let y(p) be the third derivative of p**5/240 + p**4/96 - 12*p**2. Determine d so that y(d) = 0.
-1, 0
Let m be (-68)/119 + 148/14. Suppose -3*v - 5*i = -4*v - 3, 3*v + 4*i - m = 0. Suppose -1/4*z**v + 0 - 1/4*z = 0. Calculate z.
-1, 0
Let x(b) be the second derivative of -b**4/6 + 2*b**3/3 - b**2 + 2*b. Suppose x(w) = 0. Calculate w.
1
Let b(d) be the second derivative of 1/33*d**3 + 3/110*d**5 + 0 + 1/22*d**4 + 0*d**2 - 4*d + 1/165*d**6. Find x such that b(x) = 0.
-1, 0
Let g(f) be the second derivative of -f**5/10 - 5*f. Solve g(l) = 0.
0
Suppose 1 = 3*n - 2. Let x(d) = 2*d + 1. Let m be x(n). Factor -1/3*j**m - j + j**2 + 1/3.
-(j - 1)**3/3
Let a(i) be the second derivative of i**6/6 - 5*i**4/12 + 29*i. Factor a(w).
5*w**2*(w - 1)*(w + 1)
Let g(d) be the second derivative of -d**4/12 - 2*d**3/3 - 3*d**2/2 - 33*d + 1. Find q, given that g(q) = 0.
-3, -1
Let d(w) be the third derivative of -w**8/252 - 8*w**7/315 - w**6/18 - 2*w**5/45 - 10*w**2. Determine x, given that d(x) = 0.
-2, -1, 0
Find c such that 18/5*c**2 + 0 + 24/5*c + 3/5*c**3 = 0.
-4, -2, 0
Suppose -8*i = -4*i. Let r(x) be the first derivative of -2 + 0*x + i*x**2 + 4/27*x**3 - 1/18*x**4. Solve r(a) = 0 for a.
0, 2
Let n(a) = -5*a**2 - 6*a - 3. Let j(v) = 21*v**2 + 24*v + 12. Let q(h) = -2*j(h) - 9*n(h). Factor q(r).
3*(r + 1)**2
Suppose 0 = -2*j - 4*r - 4, -j + 4*r + 19 = -r. Suppose j*w = 5*y - 9 + 58, 0 = -4*w - 3*y + 9. Suppose 2*q**4 - 3 + 1 - w*q**2 + 4*q + 2 = 0. What is q?
-2, 0, 1
Let m(d) = 3*d**3 - 3*d**2 - 6. Let r(y) = -y**2 - 11*y + 6. Let w be r(-11). Let h(v) = -8*v**3 + 9*v**2 + 17. Let g(p) = w*h(p) + 17*m(p). Factor g(f).
3*f**2*(f + 1)
Let p = 203 - 1011/5. Determine b so that -8/5*b**3 + 2*b**2 - p*b + 0 + 2/5*b**4 = 0.
0, 1, 2
Let a(u) = -100*u**2 + 21*u + 4. Let o(l) = -100*l**2 + 22*l + 3. Let y(m) = 7*a(m) - 6*o(m). Determine p so that y(p) = 0.
-1/4, 2/5
Let n(k) be the third derivative of -k**5/60 + 7*k**4/48 + k**3/3 - 16*k**2. Factor n(a).
-(a - 4)*(2*a + 1)/2
Let o(x) be the second derivative of -1/60*x**6 - 3*x + 1/3*x**3 - 1/4*x**4 - 1/4*x**2 + 1/10*x**5 + 0. Find t such that o(t) = 0.
1
Let q be -4 + 96/14 - 2. Factor -2/7 - q*c + 2/7*c**2 + 6/7*c**3.
2*(c - 1)*(c + 1)*(3*c + 1)/7
Let w = -5 - -7. Suppose w*l + 8 = 6*l. What is k in k - l*k + 2*k**2 + 3*k = 0?
-1, 0
Suppose -3*b + 2 = -4. Factor 0*r - 2/11*r**3 - 2/11*r**4 + 0 + 0*r**b.
-2*r**3*(r + 1)/11
Let s(o) = 2*o**3 + 4*o**2 - 10*o + 4. Let f(q) = -q**4 + q**2. Let v(k) = -2*f(k) - s(k). Factor v(c).
2*(c - 1)**3*(c + 2)
Let h(g) = -2*g - 6. Let b(l) = -5*l**2 + 3*l - 2. Let o be b(1). Let d be h(o). Factor 0 + 3/2