 - 144. Let 4/3*z + 8/3*z**3 - 2/3 + t*z**2 = 0. What is z?
-1, 1/4
Let l(b) be the third derivative of 0*b**5 + 0*b**3 + 0*b + 0*b**6 + 0*b**4 + 1/105*b**7 + 1/336*b**8 + 0 + 6*b**2. Find c such that l(c) = 0.
-2, 0
Let f be (-32)/(-300)*-5*(-2)/4. Let n(y) be the first derivative of 0*y - 1/10*y**4 + f*y**3 - 1/5*y**2 + 3. Factor n(x).
-2*x*(x - 1)**2/5
Let d(r) be the third derivative of r**5/20 + r**4/8 - r**3 + 4*r**2. Factor d(i).
3*(i - 1)*(i + 2)
Let s(t) = -t**2 - t + 1. Let f be s(0). Let n = f - 0. Let n + 8*v + 2 + 8*v**2 - 1 = 0. Calculate v.
-1/2
Let t(f) be the third derivative of -f**8/336 + 2*f**7/105 - f**6/30 - f**5/30 + 5*f**4/24 - f**3/3 + f**2. What is h in t(h) = 0?
-1, 1, 2
Let c(v) be the second derivative of -2/15*v**6 - 1/42*v**7 + 0 - 3/10*v**5 - 1/6*v**3 - 3*v - 1/3*v**4 + 0*v**2. Solve c(d) = 0 for d.
-1, 0
Find l, given that 1/5*l**2 + 4/5 - 4/5*l = 0.
2
Let p(i) be the second derivative of -3*i**6/50 - 3*i**5/25 + 7*i**4/20 + 2*i**3/5 - 6*i**2/5 - 13*i. Let p(r) = 0. What is r?
-2, -1, 2/3, 1
Let p(w) = w**4 - w**3 + w**2 - w. Let q(m) = 5*m**4 + 3*m**3 - 5*m**2 - 15*m + 16. Let c(r) = -14*p(r) + 2*q(r). Factor c(j).
-4*(j - 2)**3*(j + 1)
Let u(j) = -j**2 + 14*j + 14. Let z(s) = -10*s**2 + 125*s + 125. Let y(h) = -55*u(h) + 6*z(h). Factor y(g).
-5*(g + 2)**2
Let n = 304/9 + -15197/450. Let k(s) be the third derivative of 0*s**3 - n*s**6 + 0*s + 0 + 1/120*s**4 + 0*s**5 - s**2. Determine t so that k(t) = 0.
-1/2, 0, 1/2
Let n = 71 + -212/3. Suppose -1/3*m**2 + n*m + 0 = 0. What is m?
0, 1
Let l(a) = a**2 + a - 3. Let i(m) = -m + 4 + 2*m**2 - m**2 - 2*m**2 + 0*m**2. Let y(c) = -3*i(c) - 4*l(c). Factor y(k).
-k*(k + 1)
Let m(b) be the first derivative of 2*b**3/3 + b**2 + 45. Solve m(d) = 0.
-1, 0
Let g(x) = 3*x**5 - 40*x**4 + 49*x**3 - 9*x**2 - 29*x - 1. Let a(u) = -2*u**5 + 20*u**4 - 24*u**3 + 4*u**2 + 14*u. Let v(z) = 9*a(z) + 4*g(z). Factor v(i).
-2*(i - 1)**4*(3*i + 2)
Let o(j) be the third derivative of -j**8/1848 - j**7/1155 + j**6/220 + j**5/330 - j**4/66 + 9*j**2. Solve o(x) = 0.
-2, -1, 0, 1
Let p = 293/10 - 55/2. Suppose -3*g + 2*k = -7*g + 4, -3*g + 2*k = -17. Let 3/5*f**2 + p*f + 2/5 - 4/5*f**g = 0. What is f?
-1, -1/4, 2
Let x be (8 + -3)*1/(-10)*-6. Let m(g) be the second derivative of 2/35*g**5 - 2*g - 1/7*g**x + 0 - 1/7*g**2 + 0*g**4. Determine f, given that m(f) = 0.
-1/2, 1
Let x(a) be the third derivative of 2/21*a**4 + 4*a**2 + 0 + 16/21*a**3 + 1/210*a**5 + 0*a. Determine f so that x(f) = 0.
-4
Let 5*l**3 + l**4 - 3/2 - 23/2*l**2 + 31/4*l - 3/4*l**5 = 0. What is l?
-3, 1/3, 1, 2
Let p = -6 + 8. What is z in -4*z**3 + 0*z**3 + 2*z**4 + 3*z**2 - 2*z**p + 4*z - 3*z**2 = 0?
-1, 0, 1, 2
Solve 3/2 - 19/4*d - 3/4*d**4 - 1/4*d**3 + 17/4*d**2 = 0.
-3, 2/3, 1
Factor 2/3*l**3 - 2*l + 0*l**2 - 4/3.
2*(l - 2)*(l + 1)**2/3
Let o = -478 - -478. Factor o - 1/3*j + 1/3*j**2.
j*(j - 1)/3
Let a(g) be the second derivative of g**5/90 - g**4/54 + 6*g. Suppose a(k) = 0. What is k?
0, 1
What is f in -6*f**3 - f**4 - 4*f + 0*f**4 + 9*f**3 = 0?
-1, 0, 2
Suppose 0 = 4*r - 12 - 4, 5*r = 2*d + 8. Let g(b) = -b + 8. Let i be g(d). Factor i*m + m**3 + m**3 - 4*m.
2*m*(m - 1)*(m + 1)
Let d(x) = -4*x**4 - 14*x**3 - 4*x**2 + 6*x + 6. Let y(t) = -8*t**4 - 29*t**3 - 8*t**2 + 13*t + 13. Let q(r) = -13*d(r) + 6*y(r). Suppose q(w) = 0. What is w?
-1, 0
Suppose 2*p = -z + 5*z + 6, -2*z + 3*p = 5. Let o be z + (-33)/(-9) - 2. Suppose 2/3 + 2*y**2 + o*y**3 + 2*y = 0. Calculate y.
-1
Let q(k) = 5*k**2 - 1. Let s be q(-1). Let d be s/(-34) - (-222)/153. Factor 1/3*a + d*a**2 + 2*a**3 + 0 + 1/3*a**5 + 4/3*a**4.
a*(a + 1)**4/3
Factor 0 + 2/5*p**2 - 6/5*p.
2*p*(p - 3)/5
Let m(g) = g + 13. Let q be m(-9). Let z(v) = -v**2 + 4*v + 3. Let n be z(q). Let 2/7*y**n + 0 + 0*y - 4/7*y**2 = 0. What is y?
0, 2
Let h(x) be the third derivative of 0 + 0*x + 1/210*x**6 + 3*x**2 + 0*x**5 + 0*x**3 + 1/735*x**7 + 0*x**4. Solve h(r) = 0.
-2, 0
Let c be 1*-1 - (0 - 5). Let a(v) = -2*v**2 + 6*v + 8. Let q(r) = -6*r**2 + 17*r + 23. Let d(h) = c*q(h) - 11*a(h). Suppose d(n) = 0. Calculate n.
-1, 2
Let g(b) = -2*b + 4. Let u = -2 + 4. Let s be g(u). Find h, given that 5/4*h**5 + 7/4*h**4 + 0*h**2 + 1/2*h**3 + s*h + 0 = 0.
-1, -2/5, 0
Let k(x) be the first derivative of 2/9*x**3 + 8/3*x - 1 + 4/3*x**2. Determine q, given that k(q) = 0.
-2
Let c = -3 - -7. Let n = c - 2. Suppose k**3 + 3*k**2 - k**4 + n - 1 - 3 + 0*k**2 - k = 0. Calculate k.
-1, 1, 2
Let b(d) be the third derivative of d**7/70 + d**6/10 + 3*d**5/10 + d**4/2 + d**3/2 + 18*d**2. Factor b(t).
3*(t + 1)**4
Suppose 12*y + 2 + 2 - 16*y**3 + 0 = 0. Calculate y.
-1/2, 1
Let f(v) be the second derivative of v**4/9 + 14*v**3/9 + 49*v**2/6 + 15*v. Factor f(x).
(2*x + 7)**2/3
Let c(v) be the third derivative of -v**5/20 + 5*v**4/12 - v**3/2 - 7*v**2. Factor c(q).
-(q - 3)*(3*q - 1)
Let t(l) be the third derivative of l**9/15120 - l**8/6720 + l**4/8 - l**2. Let j(i) be the second derivative of t(i). Suppose j(a) = 0. Calculate a.
0, 1
Suppose -7 = -2*v - p, -3*p - p = 4. Suppose 0*d**4 - d**v - 2 + 3*d**2 - 3*d + d + d**3 + d = 0. What is d?
-1, 1, 2
Factor 6*f**3 - 4*f**3 - 2*f**3 + 6*f**3 - 2*f**4 - 4*f**2.
-2*f**2*(f - 2)*(f - 1)
Let t(d) be the third derivative of -d**5/30 - d**4/3 - 4*d**3/3 + d**2. Solve t(a) = 0.
-2
Suppose 2*x - 3*x + 2*x = 0. Find p such that x*p**3 - 4/3*p**2 + 0 - 2/3*p**5 + 2/3*p + 4/3*p**4 = 0.
-1, 0, 1
Let g(k) = 6*k - 2. Let l be g(4). Factor 129*b**2 - 26*b**5 - l*b**5 + 64*b**4 - 23*b**4 - 219*b**3 - 33*b + 127*b**4 + 3.
-3*(b - 1)**3*(4*b - 1)**2
Let n be 5 + (-10)/(15/3). Factor -1/3*x + 1/3*x**n + 0 + 0*x**2.
x*(x - 1)*(x + 1)/3
Let d(c) be the third derivative of -c**9/5040 - c**8/2240 + c**7/840 + c**6/240 + c**4/3 + 9*c**2. Let q(u) be the second derivative of d(u). Factor q(j).
-3*j*(j - 1)*(j + 1)**2
Let z(h) be the first derivative of 0*h**2 + 0*h - 2/3*h**3 - 1 - 1/2*h**4. Factor z(g).
-2*g**2*(g + 1)
Let f(i) be the third derivative of i**7/105 + i**6/30 + i**5/30 + 5*i**2. Factor f(o).
2*o**2*(o + 1)**2
Let b(l) = -10*l**2 - 6*l - 14. Let g(c) = -2*c**2 - c - 3. Let k(o) = -6*b(o) + 28*g(o). Suppose k(h) = 0. What is h?
-2, 0
Let m(r) be the third derivative of r**5/60 + 3*r**4/4 + 27*r**3/2 - 4*r**2 + r. Factor m(n).
(n + 9)**2
Let a(s) be the third derivative of -s**5/5 - 11*s**4/6 - 4*s**3 - 22*s**2. Factor a(g).
-4*(g + 3)*(3*g + 2)
Let v(q) = -2*q**2 + 3*q - 10. Let u(z) = z**2 - 2*z. Let b(o) = 6*u(o) + 2*v(o). Factor b(f).
2*(f - 5)*(f + 2)
Let x be -3 + -3 + 3 - (-4 - 1). Factor 0 + 2/11*o - 10/11*o**x.
-2*o*(5*o - 1)/11
Let s(y) be the first derivative of 45*y**4/4 - 100*y**3/3 + 65*y**2/2 - 10*y + 15. Solve s(t) = 0.
2/9, 1
Let z(v) be the first derivative of 0*v**2 + 1 - 1/3*v**3 + 1/6*v**4 + 2*v. Let d(y) be the first derivative of z(y). Factor d(b).
2*b*(b - 1)
Let d(s) be the first derivative of s**5/180 + s**4/24 + s**3/9 - s**2 - 5. Let c(y) be the second derivative of d(y). Suppose c(j) = 0. What is j?
-2, -1
Suppose 6*j**2 + 7*j**2 - 6*j + 2*j**2 = 0. Calculate j.
0, 2/5
Let v(r) be the second derivative of r**7/5040 + r**6/720 + r**5/240 - r**4/3 - r. Let q(l) be the third derivative of v(l). Factor q(f).
(f + 1)**2/2
Factor -u**2 - 2/7*u + 2/7*u**3 + u**4 + 0.
u*(u - 1)*(u + 1)*(7*u + 2)/7
Suppose 3 - 9 = -3*q. Let 4*w**5 + q*w**4 - 10*w**4 + w**4 - w**4 + 4*w**3 = 0. What is w?
0, 1
Let i(o) = 6*o**2 - 2*o. Let f(v) = 2*v**2 - v. Let p(y) = 8*f(y) - 3*i(y). Factor p(c).
-2*c*(c + 1)
Factor -8*f**4 - 4*f**5 + 7*f**3 - 7*f**3.
-4*f**4*(f + 2)
Let q(u) = 1. Let l be 64/11 - (-4)/22. Let s(m) = -m**2 - 2*m - 7. Let i(o) = l*q(o) + s(o). What is n in i(n) = 0?
-1
Let h be (-24)/1*(-2 + 1). Factor -81 + h*r**3 + 19*r + 69*r + 74*r - 108*r**2.
3*(2*r - 3)**3
Let o(j) = j**2 - 2*j + 2. Let v be o(2). Let p(f) = f. Let b be p(v). Factor 11*d + 6 + 7*d + 32*d**3 - 4 + 48*d**b.
2*(d + 1)*(4*d + 1)**2
Let p(c) be the second derivative of -c**4/30 - 2*c**3/5 - c**2 - 18*c. Suppose p(g) = 0. What is g?
-5, -1
What is k in 0*k + 0 + 2/7*k**2 - 2/7*k**3 + 2/7*k**5 - 2/7*k**4 = 0?
-1, 0, 1
Let x be (5/15)/((-2)/(-12)). Let b(z) be the first derivative of 1/7*z**2 - x + 0*z + 1/21*z**6 + 0*z**5 + 0*z**3 - 1/7*z**4. Factor b(p).
2*p*(p - 1)**2*(p + 1)**2/7
L