- 1)*(2*f + 1)
Let p(a) be the second derivative of -16*a**7/63 - 8*a**6/15 - a**5/30 + a**4/3 - a**3/9 - 4*a. Determine h so that p(h) = 0.
-1, 0, 1/4
Determine x so that 0 + 3/2*x**2 - 21/2*x = 0.
0, 7
Let t(h) = -h + 2. Let c be t(-3). Suppose 0*d**4 + 1 - 2*d**3 + 3/2*d - d**2 + 1/2*d**c = 0. Calculate d.
-1, 1, 2
Factor -4*n**2 + 10*n - 14*n - 2*n**3 + 4*n.
-2*n**2*(n + 2)
Let t(r) be the third derivative of -3*r**2 + 0*r**3 + 0*r**4 + 1/168*r**8 + 0*r + 0 - 1/210*r**7 + 1/60*r**5 - 1/60*r**6. Let t(m) = 0. What is m?
-1, 0, 1/2, 1
Suppose -4*w - w - 10 = 5*n, -20 = 5*w. Factor 1 - 2*c - 2 + 0*c**2 - c**n.
-(c + 1)**2
Let c = -1456 - -1456. Solve c + 0*r + 4/7*r**2 - 10/7*r**3 + 6/7*r**4 = 0.
0, 2/3, 1
Determine d, given that 0*d**2 - 3*d - 9/4*d**4 + 21/4*d**3 + 0 = 0.
-2/3, 0, 1, 2
Let x(a) be the first derivative of -a**5/10 - 5*a**4/8 - 3*a**3/2 - 7*a**2/4 - a - 5. Factor x(h).
-(h + 1)**3*(h + 2)/2
Let m = -45 + 49. Factor -4*g**3 + 7/3*g**m + 2/3*g + g**2 + 0.
g*(g - 1)**2*(7*g + 2)/3
Solve 2/3*z**2 - 4/9*z - 2/9*z**3 + 0 = 0 for z.
0, 1, 2
Let a(o) = -o**2 - 4*o + 47. Let c be a(-9). Let -4/7 - 2/7*p**4 + c*p - 18/7*p**2 + 10/7*p**3 = 0. Calculate p.
1, 2
Factor 2*r + 0 + 2/9*r**3 + 4/3*r**2.
2*r*(r + 3)**2/9
Factor -5*f**2 + 3*f**2 + f + 3*f**2 + 0*f**2.
f*(f + 1)
Let z(l) be the third derivative of l**5/300 - l**4/40 - 7*l**2. Factor z(r).
r*(r - 3)/5
Let d(o) = 4*o**3 - 11*o**2 - 12*o - 8. Let r(t) = 3*t**3 - 10*t**2 - 12*t - 8. Let q(u) = -4*d(u) + 5*r(u). Solve q(w) = 0.
-2
Let x(h) be the second derivative of -h**4/6 + 2*h**3 - 9*h**2 + 7*h. Factor x(g).
-2*(g - 3)**2
Determine x, given that 10*x**5 + 7*x**3 + 25*x**4 + 5*x**2 + 3*x**3 - 2*x**3 + 12*x**3 = 0.
-1, -1/2, 0
Let m be (5/15)/(-7 - 210/(-27)). Factor -m*u**3 + 0*u - 1/7*u**5 - 3/7*u**4 + 0 - 1/7*u**2.
-u**2*(u + 1)**3/7
Factor 56 + 6*m**3 - 4*m**2 - 52 - 14*m**3 + 2*m**5 + 6*m.
2*(m - 2)*(m - 1)*(m + 1)**3
Suppose -g - 6 = -2*g - m, -5*g = m - 14. Factor -4*u**3 + g*u**2 - u**3 + 2*u**4 + 3*u**3 - 2*u**3.
2*u**2*(u - 1)**2
Let u(p) be the third derivative of -p**7/420 + p**6/90 + p**5/15 - 2*p**4/3 - p**3/3 + p**2. Let g(v) be the first derivative of u(v). Factor g(x).
-2*(x - 2)**2*(x + 2)
Let k(l) be the third derivative of -l**8/30240 + l**6/1080 - l**5/270 - l**4/24 + 2*l**2. Let r(d) be the second derivative of k(d). Find j such that r(j) = 0.
-2, 1
Suppose -7*h + 6 = -4*h. Let d(i) be the second derivative of 0*i**3 + 0*i**4 + 0 + 0*i**5 - i + 0*i**h - 1/105*i**6. Factor d(x).
-2*x**4/7
Let c(m) = -3*m - 1. Let i be c(-2). Suppose -a - 2*a = -2*w - 2, 2*a - 5*w - i = 0. Factor 0*k - 4/7*k**2 - 2/7*k**3 + a.
-2*k**2*(k + 2)/7
Let o(v) be the first derivative of 4*v**5/5 + 7*v**4 + 20*v**3 + 18*v**2 - 8. Factor o(x).
4*x*(x + 1)*(x + 3)**2
Let i be 87/42 + (-6 - (-54)/12). Factor -2/7 + i*h - 2/7*h**2.
-2*(h - 1)**2/7
Let r(y) be the first derivative of y**4/7 + 8*y**3/7 + 24*y**2/7 + 32*y/7 - 3. Solve r(l) = 0.
-2
Factor -1/3*p**3 - 1/3 + 1/3*p + 1/3*p**2.
-(p - 1)**2*(p + 1)/3
Let y(u) = -3*u**3 + u**2 + u + 1. Let b(k) = -k**3 + 8*k**2 - 1. Let m be b(8). Let p(o) = o**3 - o**2 - o - 1. Let d(h) = m*y(h) - p(h). Factor d(x).
2*x**3
Let p be 16/9 + 16/72. Let -7*f**2 + 4 - 4*f**4 + 5*f**2 - p*f + 14*f**3 + 0 - 10*f**2 = 0. Calculate f.
-1/2, 1, 2
Find x such that -8/11*x**3 + 18/11 - 4/11*x**2 + 24/11*x + 2/11*x**4 = 0.
-1, 3
Let v(w) be the first derivative of w**3/15 - 22*w**2/5 + 484*w/5 - 9. Factor v(g).
(g - 22)**2/5
Find d, given that 0 - 40/9*d**2 - 2*d**5 + 4/9*d**3 + 16/9*d + 14/3*d**4 = 0.
-1, 0, 2/3, 2
Let 38 + 5*o**2 - 11 - 2*o**2 + 8*o + 10*o = 0. What is o?
-3
Factor 0 - 5*w - 234*w**2 + 5*w**3 + 236*w**2 - 2 + 0*w**3.
(w - 1)*(w + 1)*(5*w + 2)
Let p be (-117)/15 + 6 + 2. Let c(a) be the second derivative of 0 - p*a**3 + 4*a - 1/30*a**4 - 2/5*a**2. Determine l, given that c(l) = 0.
-2, -1
Suppose l + 0*z + z = 1, -10 = 5*z. Determine m so that 3*m**4 - 2*m**3 + 0*m**l - 4*m**3 + 3*m**2 + 0*m**4 = 0.
0, 1
Let s be ((-3)/(-21))/((-2)/(-10)). Let m = 32/35 - s. Solve 0*k**3 + 0*k + 0 + 0*k**2 + m*k**4 = 0 for k.
0
Suppose m + 2 + 2 = 0. Let q be (m/7)/(3/(-6)). Suppose 0*d - q*d**4 + 10/7*d**3 + 0 + 2/7*d**5 - 4/7*d**2 = 0. Calculate d.
0, 1, 2
Let d(q) = -q**4 + 4*q**3 - q**2 - 2. Let l(i) = i**2 + 0 + 2*i**4 + 3 - i**4 - 5*i**3. Let p(z) = -3*d(z) - 2*l(z). Factor p(u).
u**2*(u - 1)**2
Let v be (4 + -8)*(-4)/20. Factor 0*u**3 - 2/5*u - v*u**2 + 4/5*u**4 + 2/5*u**5 + 0.
2*u*(u - 1)*(u + 1)**3/5
Let y(t) be the second derivative of t**6/15 - 3*t**5/5 + 3*t**4/2 + 31*t. Factor y(v).
2*v**2*(v - 3)**2
Let y(b) be the third derivative of 3*b**8/64 + 43*b**7/280 - 21*b**6/160 - 47*b**5/80 + b**3/2 + 19*b**2 - 2*b. What is i in y(i) = 0?
-2, -1, -1/3, 2/7, 1
Let i(z) = -3*z + 3. Let r be i(1). Let d(a) be the third derivative of 1/270*a**5 + 0 + r*a**4 + 2*a**2 + 0*a + 0*a**3. Factor d(u).
2*u**2/9
Let k(s) = -21*s + 6. Let x be k(6). Let r be -2 + 0 + x/(-52). Suppose r*a**2 + 2/13*a - 4/13 - 2/13*a**3 = 0. What is a?
-1, 1, 2
Let g = -14 + 22. Let r = g + -6. Factor -4*c**4 - 2*c**3 + 4*c**4 + 2*c + 2*c**4 - 2*c**r.
2*c*(c - 1)**2*(c + 1)
Let n(y) be the first derivative of -y**3/2 + 9*y**2/4 - 3*y - 8. Find h such that n(h) = 0.
1, 2
Let r be -1 + 3 + (0/5 - 0). Let 3/4*u**r + 1/4 + 1/4*u**3 + 3/4*u = 0. What is u?
-1
Let j = 67/228 - -3/76. Factor 0*k + 0*k**2 + 0 + 1/3*k**3 + 0*k**4 - j*k**5.
-k**3*(k - 1)*(k + 1)/3
Let a(i) be the second derivative of -i**5/5 + 2*i**3/3 - 15*i. Factor a(v).
-4*v*(v - 1)*(v + 1)
Let z(p) be the first derivative of 4*p**5/5 - 8*p**3/3 + 4*p + 1. Factor z(w).
4*(w - 1)**2*(w + 1)**2
Let i(r) be the third derivative of -1/15*r**5 + 0 + 0*r + 4/3*r**4 - 32/3*r**3 + 7*r**2. Factor i(c).
-4*(c - 4)**2
Suppose 7/3*k**4 + 4*k - 8/3 + 11*k**3 + 46/3*k**2 = 0. What is k?
-2, -1, 2/7
Suppose -22 = 14*x - 50. Factor 7/3*y**x + 4/3 + 16/3*y.
(y + 2)*(7*y + 2)/3
Let b be -2 - -1 - (-1)/1. Suppose b*v = -3*v. Determine o, given that 0 + 4/5*o**3 + 0*o**2 - 18/5*o**4 + 14/5*o**5 + v*o = 0.
0, 2/7, 1
Suppose 19*n + 0 = 38. Suppose -82/15*h**4 + 0 - 2*h**5 - 4/15*h - 26/5*h**3 - n*h**2 = 0. What is h?
-1, -2/5, -1/3, 0
Let v(q) = -q**3 - 57*q**2 + 40*q + 9. Let b(t) = 28*t**2 - 20*t - 4. Let k(z) = -9*b(z) - 4*v(z). Solve k(s) = 0 for s.
0, 1, 5
Let y = -1 - -3. Suppose y*z - z**2 - 1 - z - 3*z = 0. Calculate z.
-1
What is o in 0 + 1/2*o**2 - 1/4*o**3 - 1/4*o = 0?
0, 1
Suppose 2 = -2*l + 8. Factor -4*g + l + 8*g + 2*g**2 - 1.
2*(g + 1)**2
Let z be -2 + (-2 - 2) + 3. Let u be (-2)/z*3/4. Factor 1/2 + v + u*v**2.
(v + 1)**2/2
Let t be ((-9)/(-6))/((-3)/(-4)). Let z(r) be the third derivative of -1/60*r**4 + 0 + 1/300*r**5 + 0*r + 1/30*r**3 + 4*r**t. Suppose z(n) = 0. Calculate n.
1
Let o(g) = -5*g**4 - 4*g**3 + 2*g**2 + 4*g + 3. Let j(i) = -14*i**4 - 11*i**3 + 6*i**2 + 11*i + 8. Let z(y) = -4*j(y) + 11*o(y). Factor z(k).
(k - 1)**2*(k + 1)**2
Let x be (54/(-63))/((-8)/238). Let u = x + -25. Suppose -o**3 + u*o**4 + o - 1/2 + 0*o**2 = 0. Calculate o.
-1, 1
Let p(w) be the third derivative of -w**6/120 - w**5/60 + 13*w**2. Factor p(s).
-s**2*(s + 1)
Let w(h) be the second derivative of h**4/60 - h**2/10 - 6*h. Determine l, given that w(l) = 0.
-1, 1
Suppose 2*s + 44 = 2*v, -4*v - 2*s = -5*s - 90. Suppose 0 = 7*g - 2*g - 10. Factor 24 - g*u**4 + 2*u**2 + 2*u - v - 2*u**3.
-2*u*(u - 1)*(u + 1)**2
Let x = 11 - 9. Solve 2*v**x - 16 - 4*v + 16 = 0.
0, 2
Let v(z) be the second derivative of z**6/75 + z**5/50 - z**4/30 - z**3/15 - 3*z. Let v(b) = 0. Calculate b.
-1, 0, 1
Suppose 0 = -2*z + 44 + 14. Let d = 43 - z. Determine a, given that a**2 + a**2 - 2*a + d - 14 = 0.
0, 1
Suppose 7*d + 14 - 28 = 0. Find v, given that -d*v**3 - 14/5*v - 18/5*v**2 - 2/5*v**4 - 4/5 = 0.
-2, -1
Let j(h) be the third derivative of 0 - 7/40*h**6 + 1/20*h**5 + 3/14*h**7 - h**2 - 9/112*h**8 + 0*h**4 + 0*h**3 + 0*h. Determine q, given that j(q) = 0.
0, 1/3, 1
Let w(x) be the second derivative of -1/10*x**5 + 0*x**4 + 2*x + 0*x**3 + 0 + 0*x**2. Solve w(s) = 0.
0
Let d(q) be the second derivative of -3*q**6/25 - q**5/20 + q**4/3 + q**3/6 - q**2/5 + 44*q. Determine g so that d(g) = 0.
-1, -1/2, 2/9, 1
Let u(i) be the third derivative of -i**6/840 - i**5/84 - i**4/2