ate b.
-1, 0, 1/2
Let v(j) be the third derivative of 0 - 13/12*j**6 - 1/8*j**8 + 0*j**3 + 0*j - 14/15*j**5 - 1/3*j**4 - 62/105*j**7 + 2*j**2. Find g, given that v(g) = 0.
-1, -2/3, -2/7, 0
Let h(t) = -2*t + 6. Let k be h(5). Let y be 4*(9/k + 3). Determine i so that 4/3*i - 2*i**2 - 4/3*i**y + 2*i**4 + 0 = 0.
-1, 0, 2/3, 1
Let v(w) be the first derivative of -w**4/2 - 4*w**3 - 12*w**2 - 16*w + 3. Factor v(x).
-2*(x + 2)**3
Let k(t) = t - 6. Let j be k(6). Let r(d) be the third derivative of 0 - d**2 - 1/150*d**5 - 1/15*d**3 - 1/30*d**4 + j*d. Factor r(b).
-2*(b + 1)**2/5
Let b = 104 + -102. Factor -1/3*p**b - 1/3*p**3 + 1/3*p**4 + 1/3*p + 0.
p*(p - 1)**2*(p + 1)/3
Let t(d) = 3*d**4 + 5*d**3 + 3*d**2 - d. Let w(m) = 16*m**4 + 26*m**3 + 15*m**2 - 6*m. Let i(x) = 11*t(x) - 2*w(x). Let i(r) = 0. Calculate r.
-1, 0
Let p(i) = -i**3 - i**2 - 2*i + 4. Let b be p(-3). Let h be 48/b*10/4. Determine u so that 32/7*u**3 - h*u + 4/7 + 48/7*u**2 = 0.
-2, 1/4
Let g(c) be the first derivative of -5*c**4/4 - 20*c**3/3 - 25*c**2/2 - 10*c + 33. Suppose g(j) = 0. Calculate j.
-2, -1
Let r(o) be the third derivative of -1/50*o**5 - 1/100*o**6 + 3/40*o**4 - 1/560*o**8 + 0 + 2*o**2 + 3/350*o**7 + 0*o - 1/10*o**3. Suppose r(n) = 0. What is n?
-1, 1
Let z = 66 + -62. Suppose 0*d + 2/5*d**3 + 4/5*d**z + 0*d**2 + 2/5*d**5 + 0 = 0. Calculate d.
-1, 0
Let p(r) be the third derivative of r**8/448 - 3*r**7/280 + 3*r**6/160 - r**5/80 - 16*r**2. Solve p(f) = 0 for f.
0, 1
Let z(r) = 6*r + 7. Let i(n) = 3*n + 3. Let h(s) = 5*i(s) - 2*z(s). Let v be h(1). What is y in -2*y + 4*y**3 + 2*y**v - 2*y - 4 + 2 = 0?
-1, 1
Let p(o) = -3*o**5 - 3*o**4 - 5*o. Let f(t) = t. Let q(z) = -5*f(z) - p(z). Factor q(w).
3*w**4*(w + 1)
Suppose 1/10*j**3 - 1/10*j + 1/10*j**2 - 1/10*j**4 + 0 = 0. Calculate j.
-1, 0, 1
Let q be 231/(-847) - (-130)/154. Factor -q + 2/7*o + 2/7*o**2.
2*(o - 1)*(o + 2)/7
Let 0 + 8/7*f - 2/7*f**3 - 6/7*f**4 + 24/7*f**2 = 0. Calculate f.
-2, -1/3, 0, 2
Factor -5*u**2 - 1/2*u**5 - 5/2*u**4 - 5/2*u - 1/2 - 5*u**3.
-(u + 1)**5/2
Let x = -597 - -600. What is g in x*g**2 - 4 - 1/2*g**4 + 2*g - 1/2*g**3 = 0?
-2, 1, 2
Suppose -25 = -5*f + 25. Solve 2*q**3 + 10*q**2 - 4*q**3 - 2*q**3 + 4*q - f*q**4 = 0.
-1, -2/5, 0, 1
Let f be (-11 - -19)/(1 + 1). Let q(j) be the first derivative of 0*j**3 + 3/7*j**2 + 2 - 4/7*j - 1/14*j**f. Factor q(t).
-2*(t - 1)**2*(t + 2)/7
Factor 18/11*n**4 + 32/11 + 112/11*n**2 - 64/11*n**3 - 2/11*n**5 - 96/11*n.
-2*(n - 2)**4*(n - 1)/11
Factor -20 + 20 - 7*k**2 + 3*k**4 + 4*k**2.
3*k**2*(k - 1)*(k + 1)
Let b(w) be the third derivative of w**8/448 - 3*w**7/280 + w**6/80 + w**5/40 - 3*w**4/32 + w**3/8 - 3*w**2. Factor b(y).
3*(y - 1)**4*(y + 1)/4
Let s(t) = 3*t**3 - 7*t**2 + 9*t - 3. Let l(w) = -6 + 10*w + 4*w**3 + 3 + 2 - 2 - 8*w**2. Let g(q) = -2*l(q) + 3*s(q). Suppose g(z) = 0. What is z?
1, 3
Let q(g) be the first derivative of -1/5*g**3 + 7 - 3/10*g**2 + 0*g. Factor q(r).
-3*r*(r + 1)/5
Let m(q) be the third derivative of q**5/30 + 13*q**2. Factor m(h).
2*h**2
Factor 3/2*c + 0 - 9/4*c**3 + 9/4*c**2 - 21/4*c**4 - 9/4*c**5.
-3*c*(c + 1)**3*(3*c - 2)/4
Let k(u) be the second derivative of -u**5/90 + u**4/18 - u**3/9 - 2*u**2 - 3*u. Let z(o) be the first derivative of k(o). Find n, given that z(n) = 0.
1
Suppose 12*i = -9 + 9. Determine d, given that -1/3 + 1/3*d**2 + i*d = 0.
-1, 1
Let l be (-2)/(-14) + 1 + 636/(-630). Find n, given that -l + 2/15*n**2 - 2/15*n + 2/15*n**3 = 0.
-1, 1
Let n = 3 - 0. Let j(w) be the first derivative of 5/12*w**n - 3/4*w**2 + 2 + 1/4*w. Factor j(u).
(u - 1)*(5*u - 1)/4
Let b be (-621)/(-504) - (1 - 20/32). Determine w so that 2/7*w**5 - 6/7*w**4 + 12/7*w**2 - 4/7*w**3 - b + 2/7*w = 0.
-1, 1, 3
Let m(s) be the first derivative of -2*s**5/5 + 2*s**4 + 4*s**3 - 4*s**2 - 10*s - 17. Factor m(y).
-2*(y - 5)*(y - 1)*(y + 1)**2
Let u(m) = -2*m**2 - 4*m + 2. Let h(w) = -w**2 - 11*w + 5 - 5*w**2 + w**2. Let i(p) = 4*h(p) - 11*u(p). Let i(f) = 0. What is f?
-1, 1
Suppose -g = 3*z - 7, 5*g - 4 = 4*z - 7. Let h(m) be the second derivative of 0 - 1/2*m**z + 1/12*m**3 - 2*m - 3/40*m**5 + 1/6*m**4. Factor h(t).
-(t - 1)**2*(3*t + 2)/2
Let k(w) be the third derivative of -7/60*w**6 + 2*w**2 + 0 + 1/6*w**5 + 0*w**3 + 0*w + 1/6*w**4. Determine a, given that k(a) = 0.
-2/7, 0, 1
Let o(z) be the second derivative of z**4/12 - z**3/2 + 4*z. Let l(p) = p**2 - p. Let t(d) = -6*l(d) + 3*o(d). Find j such that t(j) = 0.
-1, 0
Suppose -t = -5*h + 12 - 4, -t = -h. Find w, given that -3*w**2 + 2*w**2 + 5*w**2 - 3*w**t = 0.
0
Let y be (-2 - -8) + -2 + (-286)/91. Determine j so that 0 + y*j + 9/7*j**2 = 0.
-2/3, 0
Let u(v) be the second derivative of -1/21*v**3 + 0 + 1/70*v**5 + 1/42*v**4 - 1/7*v**2 + 4*v. Let u(m) = 0. Calculate m.
-1, 1
Factor -3*c**4 - 231 + 3*c**3 + 231.
-3*c**3*(c - 1)
Suppose -3*w = w - 2*u - 10, 2*u + 13 = 5*w. Let 2/3*g**2 + 0 - 2/3*g - 2/3*g**4 + 2/3*g**w = 0. What is g?
-1, 0, 1
Find p such that 2/9*p**3 + 2/9*p**2 - 2/9 - 2/9*p = 0.
-1, 1
Let d be ((-20)/14)/2 + 5/5. Find h such that -8/7*h**3 + 6/7*h + d + 0*h**2 = 0.
-1/2, 1
Let q(x) be the first derivative of -3*x**5/10 + 3*x**4/2 - 2*x**3 - 6. Factor q(w).
-3*w**2*(w - 2)**2/2
Let p(g) be the third derivative of -g**6/540 - g**5/270 + g**4/108 + g**3/27 - 4*g**2. Determine l so that p(l) = 0.
-1, 1
Let d(m) be the second derivative of 3*m**5/20 + m**4/2 - m**3/2 - 3*m**2 - 7*m. Suppose d(b) = 0. What is b?
-2, -1, 1
Let l be (-5)/(-2) - 1/2. Factor -2/5*r**l - 2/5*r + 0.
-2*r*(r + 1)/5
Let 7*c**2 + c**2 + 0*c**2 + 4 - 4*c**2 - 8*c = 0. What is c?
1
Let l(c) be the first derivative of -3*c**4/22 - 10*c**3/33 - c**2/11 + 2*c/11 + 4. Factor l(u).
-2*(u + 1)**2*(3*u - 1)/11
Let v(l) be the first derivative of 0*l - 1/3*l**3 + 5 + 0*l**2. Let v(y) = 0. What is y?
0
Let t(x) be the third derivative of 2*x**7/21 + 2*x**6/5 + 3*x**5/5 + x**4/3 - 2*x**2. Solve t(d) = 0.
-1, -2/5, 0
Suppose -x + u = -0*x - 6, 3*u = -4*x + 52. Let b(o) = -o + 13. Let t be b(x). Factor -t*q + 2*q + 2 + 5*q**2 - 6*q.
(q - 1)*(5*q - 2)
Let f = -35/2 - -18. Find y such that 0*y - 1/2*y**2 + f = 0.
-1, 1
Let j(i) be the second derivative of i**4/48 - i**3/24 - i**2/4 - 19*i. Find x such that j(x) = 0.
-1, 2
Let k = -18 + 32. Suppose 2*z = 5*h - k, -h = -5*z + 7 - 19. Factor -3*u + 2*u**2 + 2*u**3 - 2 + 0*u**h + u.
2*(u - 1)*(u + 1)**2
Let n(j) be the second derivative of j**6/6 - 5*j**4/6 + 5*j**2/2 + j. Factor n(q).
5*(q - 1)**2*(q + 1)**2
Let s(p) = -18*p + 18. Let d(w) = -w**3 + w. Let a(l) = 3*d(l) - s(l). Factor a(f).
-3*(f - 2)*(f - 1)*(f + 3)
Let y(a) = 9*a**2 + 10*a + 17. Let t(r) = 6*r**2 + 7*r + 11. Let j(l) = 8*t(l) - 5*y(l). Solve j(z) = 0 for z.
-1
Let w(h) = 40*h + 84. Let v be w(-2). Let -7/4*i + 1/4*i**5 + 2*i**2 - 1/2*i**3 + 1/2 - 1/2*i**v = 0. What is i?
-2, 1
Let r(i) be the first derivative of -i**4/12 + i**2/2 + 2*i/3 + 9. Factor r(m).
-(m - 2)*(m + 1)**2/3
Suppose 4*a - 2*a**2 - 3*a + 2*a**3 + 0*a**2 - a**3 = 0. What is a?
0, 1
Let s = -91 - -93. Let d be ((-4)/(-2))/((-2)/(-3)). Factor 0*x + 1/3*x**d - 1/3*x**4 - 1/3*x**5 + 0 + 1/3*x**s.
-x**2*(x - 1)*(x + 1)**2/3
Let t = 2 + -4. Let g(y) = y**2 - y - 1. Let n(l) = l**5 - 3*l**4 + 3*l**3 - 2*l**2 + l + 1. Let i(d) = t*g(d) - 2*n(d). Determine m so that i(m) = 0.
0, 1
Let y be 90/21 + (-2)/7. Let j(q) be the second derivative of -3/80*q**5 - q + 1/16*q**y + 0*q**2 - 1/24*q**3 + 0 + 1/120*q**6. Factor j(g).
g*(g - 1)**3/4
Suppose -5*u = -0*u - 45. Suppose -4*c + u = -3. Factor 1/2*j**2 - 1/2*j**c - 1/2 + 1/2*j.
-(j - 1)**2*(j + 1)/2
Let q = 32 + -29. Let n(p) be the third derivative of 0*p**q + 0*p + 0*p**4 - 1/210*p**6 + 1/735*p**7 + p**2 + 1/210*p**5 + 0. What is a in n(a) = 0?
0, 1
Let q(h) be the first derivative of h**6/20 - h**5/15 - h**4/4 + 2*h**3/3 - 5*h**2/2 - 6. Let a(l) be the second derivative of q(l). Solve a(r) = 0.
-1, 2/3, 1
Let r be (-14)/(-3)*(-30)/(-20). Let j be ((2*-3)/(-3))/r. Factor j*c**2 + 2/7*c**3 + 0 + 0*c.
2*c**2*(c + 1)/7
Suppose 4*g + 4 = -2*t + 8, 20 = 5*t + 5*g. Factor 4*a**2 - 5*a**3 + 3*a**3 - 4*a - 4*a**4 + t*a**3.
-4*a*(a - 1)**2*(a + 1)
Factor -14/5*l**2 + 0*l - 6/5*l**3 + 8/5.
-2*(l + 1)*(l + 2)*(3*l - 2)/5
Factor -3/2*p + 0 + 3*p**3 - 3/2*p**5 + 0*p**4 + 0*p**2.
-3*p*(p - 1)**2*(p + 1)**2/