3*l**3 + 0*l**3 = 0?
0, 1, 4
Determine m so that 1/3*m**5 + 64/3*m + 55/3*m**2 + 13/3*m**4 - 65/3*m**3 - 68/3 = 0.
-17, -1, 1, 2
Let g(j) = -j**3 - 10*j**2 + 11*j + 6. Let b be g(-11). Factor -12/5*d - 6/5*d**4 - b*d**2 + 0 - 24/5*d**3.
-6*d*(d + 1)**2*(d + 2)/5
Suppose 0*w + 14*w = -742. Let j be w/7 - -4 - -4. Factor j*o**3 + 3/7 - 3/7*o**2 - 3/7*o.
3*(o - 1)**2*(o + 1)/7
Let p(v) = v**3 - 2*v - 3. Let w be p(3). Suppose -2*x = 3*h - 20, 2 + w = 5*x. What is m in -2*m**4 - 4*m - 3*m**5 + 6*m**2 + 7*m - 4*m**h = 0?
-1, 0, 1
Let n(l) be the second derivative of l**4/3 + 18*l**3 - 56*l**2 + l + 3. Factor n(j).
4*(j - 1)*(j + 28)
Let n(c) be the first derivative of 12*c**5/5 - 19*c**4/2 + 8*c**3/3 + 20*c**2 - 404. Determine b, given that n(b) = 0.
-5/6, 0, 2
Suppose -31*l = -19*l - 24. Let q(t) be the first derivative of 6 - 1/6*t**3 - 1/4*t**l + 1/8*t**4 + 1/2*t. Suppose q(d) = 0. What is d?
-1, 1
Let h(x) be the first derivative of -10/3*x**3 + 1/3*x**2 + 4/3*x - 11. Factor h(f).
-2*(3*f + 1)*(5*f - 2)/3
Solve 5*m**4 + 60*m - 3*m**3 - 19*m**2 - 8*m**4 - 9*m**2 + 6*m**4 - 2*m**4 = 0 for m.
-5, 0, 2, 6
Let o(a) be the second derivative of a**4/42 + 116*a**3/21 + 3364*a**2/7 + a + 93. Factor o(m).
2*(m + 58)**2/7
Let j(h) = -h**2 - 4*h + 10. Let q be j(-5). Suppose -2*f - 24 = -4*x, q*x + 3*f = -8 + 60. Factor -10*g**2 - x*g**3 + 3 - 5*g + 9 - 2*g**2 + 13*g.
-4*(g - 1)*(g + 1)*(2*g + 3)
Let n be (-2)/(-9) - (-119)/(-9). Let q = -11 - n. Factor 0 - 1/5*d - 1/5*d**q.
-d*(d + 1)/5
Suppose -30*z + 29*z + 1 = 0. Let r(a) be the first derivative of -3/2*a**2 + 0*a + z - a**3. Factor r(s).
-3*s*(s + 1)
Let m be (-1)/(-6) - (-1136)/96. Let z(i) = 20*i - 7*i - m*i. Let q(x) = -2*x**2 + 5*x + 4. Let b(f) = -2*q(f) + 14*z(f). Factor b(g).
4*(g - 1)*(g + 2)
Let s be (-1)/1*((4 - 3) + -4). Let i = s + -1. Solve 6/11 - 2/11*k**i - 4/11*k = 0 for k.
-3, 1
Let w(f) be the third derivative of 0*f - 7/2*f**5 - 11/2*f**4 - 14*f**2 + 0 - 5/8*f**6 - 4*f**3. Solve w(b) = 0 for b.
-2, -2/5
Let n(g) be the second derivative of g**5/330 + g**4/66 + g**3/33 - 7*g**2/2 - 16*g. Let i(b) be the first derivative of n(b). Determine k, given that i(k) = 0.
-1
Let o = -2980 + 5963/2. Factor 0*d**4 + o*d**3 + 0*d - 3/2*d**5 + 0*d**2 + 0.
-3*d**3*(d - 1)*(d + 1)/2
Let -141*s - 62*s - 2*s**3 + 52*s**2 + 43*s - 2*s**3 + 144 = 0. Calculate s.
2, 9
Let s(b) be the third derivative of 0 + 4/3*b**3 + 7/6*b**4 + 1/3*b**5 + 6*b**2 + 0*b. Factor s(j).
4*(j + 1)*(5*j + 2)
Let m be (3 + (-14)/3)*464/(-1160). Factor -m*h**3 + 8/3 - 2*h**2 + 0*h.
-2*(h - 1)*(h + 2)**2/3
Determine u, given that 64*u**2 + 187*u - 73*u - 28*u**3 - 46*u - 24 = 0.
-1, 2/7, 3
Let m(x) be the third derivative of x**7/630 - x**6/180 - x**5/15 - x**4/6 - 3*x**2. Let p(w) be the second derivative of m(w). Factor p(r).
4*(r - 2)*(r + 1)
Let f = 754 + -2252/3. Let q(p) = -p**3 + p**2 + p + 1. Let k be q(-1). Factor -14/3*v + 4/3 + f*v**k.
2*(v - 1)*(5*v - 2)/3
Let k be 3311/(-12) - (-22)/33. Let x = 276 + k. Let x*j - 3/4*j**4 + 1/2*j**2 - 1/4*j**5 + 1/4 - 1/2*j**3 = 0. Calculate j.
-1, 1
Factor -39*f + 5*f**2 - 35*f + 79*f.
5*f*(f + 1)
Let d(z) be the second derivative of z**8/1680 + z**7/315 + z**6/180 + 5*z**4/4 - 24*z. Let k(v) be the third derivative of d(v). Factor k(r).
4*r*(r + 1)**2
Let f(x) = 28*x**2 - 5*x + 5. Let d(y) = -22*y**2 + 6*y - 4. Let p(o) = 5*d(o) + 4*f(o). Factor p(u).
2*u*(u + 5)
Let g(h) be the third derivative of h**8/45360 - h**6/1620 + 7*h**5/30 + 4*h**2. Let p(y) be the third derivative of g(y). Factor p(r).
4*(r - 1)*(r + 1)/9
Let o be (-12 - -18)/((1 + 1)/2). Let d(t) be the third derivative of 0*t**3 + t**2 + 0 + 0*t**4 - 1/90*t**5 + 1/315*t**7 + 0*t**o + 0*t. Solve d(i) = 0.
-1, 0, 1
Let s = -87 - -52. Let g be s/(-14) + (1 - -1) + -4. Let -1/2*b**2 + 0 - g*b = 0. What is b?
-1, 0
Let b = 53 - 52. Let m(t) = -t**3 - 2*t**2 + 2*t. Let j(p) = -p**3 + p. Let g(s) = b*m(s) - 2*j(s). Let g(o) = 0. Calculate o.
0, 2
Let g(t) be the first derivative of -t**7/42 - 5*t**6/96 - t**5/48 + 9*t**2/2 + 9. Let v(q) be the second derivative of g(q). Factor v(a).
-5*a**2*(a + 1)*(4*a + 1)/4
Find l, given that 2/5*l**2 - 4/5*l**3 - 9/5 + 12/5*l - 1/5*l**4 = 0.
-3, 1
Suppose -2*q + 7*q - 20 = 0. Suppose q*v - a = -0 - 4, 4*a - 16 = -5*v. Factor -5*o**3 - 3 + o + v - o**3 + 5*o + 3*o**4.
3*(o - 1)**3*(o + 1)
Let z = 130 + -130. Let d(u) be the second derivative of 1/6*u**4 + z + 0*u**3 - u**2 + 3*u. Suppose d(i) = 0. Calculate i.
-1, 1
Let r(x) be the first derivative of -x**7/280 + 7*x**5/40 - 3*x**4/4 + 8*x**3/3 - 33. Let t(y) be the third derivative of r(y). Find z, given that t(z) = 0.
-3, 1, 2
Suppose -5*h - 12*m + 13*m = -20, 0 = 2*h - 3*m - 8. Suppose -1 = -4*w + 11. Solve c - 2/3 - 2/3*c**h + 4/3*c**2 - c**w = 0.
-2, -1, 1/2, 1
Let r be 14/(-21)*(3 + -6 + 0). Find h such that h**3 + 0 + 0*h**r + 1/2*h**4 + 0*h = 0.
-2, 0
Let a(r) be the first derivative of 5*r**3/3 - 20*r - 201. Factor a(i).
5*(i - 2)*(i + 2)
Suppose -2*a + 0*s + 4 = -4*s, -2*s + 34 = 5*a. Let l(o) be the first derivative of 4/3*o**3 + 8*o + a + 6*o**2. What is n in l(n) = 0?
-2, -1
Let n be 6/21 - 122/(-14). Let c = -7 + n. Factor 2*r**2 + 0*r - 2*r - 3*r**c.
-r*(r + 2)
Let b be (-57)/(-6) + (6 - 15). Factor v**4 + v**3 - 5/4*v + 1/4*v**5 - b - 1/2*v**2.
(v - 1)*(v + 1)**3*(v + 2)/4
Let y(q) be the first derivative of 5*q**3 + 57*q**2/2 - 12*q + 581. Factor y(b).
3*(b + 4)*(5*b - 1)
Let a(k) = -k**3 - 38*k**2 + k + 1408. Let l be a(-37). Factor 2/5*r**l + 0 - 6/5*r.
2*r*(r - 3)/5
Let n be -5 - (57/(-3) + 11). Let -1/4*b**n - 1 - 2*b - 5/4*b**2 = 0. What is b?
-2, -1
Determine x so that 0 - 12/7*x + 6/7*x**3 + 6/7*x**2 = 0.
-2, 0, 1
Let n be (0 + 9)*(56/(-72) - -1). Let b(o) be the third derivative of 32/3*o**3 + 0 + 1/15*o**5 + 4/3*o**4 + 4*o**n + 0*o. Factor b(l).
4*(l + 4)**2
Let q(c) be the third derivative of -21/20*c**5 + 0*c + 19/8*c**4 + 0 + 9/40*c**6 + 45*c**2 - 3*c**3 - 1/70*c**7. Factor q(g).
-3*(g - 6)*(g - 1)**3
Let k(b) be the first derivative of -2*b**3/3 + 70*b**2 - 2450*b + 61. Let k(t) = 0. What is t?
35
Let w(p) be the first derivative of p**6/8 - 7*p**5/20 - 5*p**4/8 + 7*p**3/3 - p**2 - 127. Suppose w(x) = 0. Calculate x.
-2, 0, 1/3, 2
Let o(g) be the first derivative of g**6/5 + 9*g**5/10 + 13*g**4/8 + 3*g**3/2 + 3*g**2/4 - 3*g + 9. Let u(y) be the first derivative of o(y). Factor u(f).
3*(f + 1)**2*(2*f + 1)**2/2
Let j(f) be the third derivative of 18*f**2 + 1/240*f**5 + 0*f + 1/24*f**4 + 0 + 1/8*f**3. Factor j(q).
(q + 1)*(q + 3)/4
Let t be (1 - 2)*-1*(3 + 2). Let p(l) be the second derivative of -1/3*l**3 + 0*l**4 + 1/10*l**t - 1/2*l**2 + 1/30*l**6 + 11*l + 0. Factor p(f).
(f - 1)*(f + 1)**3
Let f(o) be the second derivative of 0 - 1/80*o**5 + 0*o**2 + 0*o**3 - 21*o + 1/48*o**4. Factor f(i).
-i**2*(i - 1)/4
Let c(u) be the second derivative of u**7/231 - u**5/55 + u**3/33 + 39*u. Factor c(y).
2*y*(y - 1)**2*(y + 1)**2/11
Let i(a) be the third derivative of -a**6/40 + 3*a**4/2 + 8*a**3 + 5*a**2 + 13. Factor i(s).
-3*(s - 4)*(s + 2)**2
Let c = -85 + 89. Factor 4 - 25*p - 24*p + 41*p + 8*p**3 - c*p**4.
-4*(p - 1)**3*(p + 1)
Let a(j) be the third derivative of j**5/30 + j**4/4 + 2*j**3/3 + 4*j**2. Let m be a(-4). Let 1 + 4*i**2 + m*i - 1 = 0. What is i?
-3, 0
Let f be 7 + 13/(-5) + 2*-2. Let n(y) be the first derivative of 7 + y**2 - 1/2*y**4 - f*y**5 + 2/3*y**3 + 0*y. Solve n(p) = 0.
-1, 0, 1
Suppose -m - 2*h + 14 = 0, -2*m + 5*h - 7 - 10 = 0. Factor -m*y**3 + 0*y**3 + 2*y**4 + 37*y**2 - 35*y**2.
2*y**2*(y - 1)**2
Let o be (10/(-4))/(375/(-60) + 5). Find a, given that -32/7*a**3 + 0 - 4/7*a - 22/7*a**o - 2*a**4 = 0.
-1, -2/7, 0
Let l = -701 + 707. Let a(s) be the third derivative of 0 + 0*s**3 - 1/240*s**l + 0*s - 3*s**2 + 1/48*s**4 + 0*s**5. Factor a(x).
-x*(x - 1)*(x + 1)/2
Let u(p) be the first derivative of -p**7/525 - p**6/60 - 4*p**5/75 - p**4/15 - 3*p**2 + 13. Let k(z) be the second derivative of u(z). Factor k(l).
-2*l*(l + 1)*(l + 2)**2/5
Suppose -a - 35 + 37 = 0. Let j(f) be the second derivative of 0*f**a + 1/70*f**5 + 0 + 7*f + 0*f**3 + 1/42*f**4. Suppose j(c) = 0. What is c?
-1, 0
Suppose -16 = -r - 13. Let z(s) be the first derivative of -r*s + 15/2*s**3 + 6 - 3/4*s**2. Solve z(w) = 0 for w.
-1/