tive of h(x). Factor i(d).
-2*(d + 1)**2/3
Let b be 1*2/30 - 24/(-180). Factor b*a**2 - 1/5 + 0*a.
(a - 1)*(a + 1)/5
Let m be (-165)/(-55) + (-10)/4. Determine w, given that 0*w**2 + 1/2*w**3 - 1/4*w**4 + 1/4 - m*w = 0.
-1, 1
Suppose 5*h = -41 + 11. Let p be (4 - 2)/((-15)/h). Let 28/5*j - p - 49/5*j**2 = 0. Calculate j.
2/7
Suppose 6 = 2*h, -3*o + 5*h + 51 = -6. Let v be ((-2)/(-36))/(3/o). Determine u, given that 0*u + 2/9*u**3 + 0 + v*u**2 = 0.
-2, 0
Let c(h) be the second derivative of -h**4/72 + h**2/12 - 27*h. Let c(l) = 0. What is l?
-1, 1
Let b(s) = -5*s**2 + 32*s - 9. Let y be b(6). Find f, given that -10/3*f - 4/3 + 2/3*f**y - 2*f**2 + 2/3*f**4 = 0.
-1, 2
Let b(m) = 6*m**4 + 2*m**3 + 4*m. Suppose -5 = 4*d + 2*w - 3*w, 3*w = 4*d + 7. Let r(y) = -y**4 - y**3 + y**2 + y. Let s(k) = d*b(k) + 4*r(k). Factor s(a).
-2*a**2*(a + 1)*(5*a - 2)
Solve -2/9*y**3 + 8/9*y**4 + 0 - 8/9*y**2 + 2/9*y = 0 for y.
-1, 0, 1/4, 1
Let u = 23 - 7. Let p be 12/u - (-3)/(-6). Let 0 + 1/4*n - p*n**2 = 0. What is n?
0, 1
Suppose -r - 3*o - 4 - 7 = 0, 5*r - 5 = -3*o. Let t be (-18)/(-8) - 2/8. Factor 0*q**4 + 0*q**4 - 3*q**4 + r*q**3 - 2*q**t + q**4.
-2*q**2*(q - 1)**2
Let w(l) be the second derivative of l**4/18 - 4*l**3/9 + 10*l. Solve w(d) = 0.
0, 4
Let t(q) be the first derivative of -q**6/9 + 2*q**5 - 25*q**4/2 + 250*q**3/9 - 12. Factor t(r).
-2*r**2*(r - 5)**3/3
Let i be 0*(3/(-21) - 48/(-140)). Factor -2/7*t**3 + 6/7*t**2 + i*t - 8/7.
-2*(t - 2)**2*(t + 1)/7
Let l(d) = d**3 + 3*d**2 - 6*d - 5. Let b be l(-4). Let p = 5 - b. Let -x + 5*x - 3*x**3 - p*x - x**2 = 0. Calculate x.
-1, 0, 2/3
Let k(l) = 13*l**4 - 5*l**3 - 6*l**2 + 5*l - 2. Let c(d) = 6*d**4 - 3*d**3 - 3*d**2 + 3*d - 1. Suppose -5 = 2*u - u. Let r(f) = u*c(f) + 2*k(f). Factor r(w).
-(w - 1)**2*(w + 1)*(4*w - 1)
Let g(z) be the second derivative of -1/10*z**6 + 2*z - 1/36*z**4 + 0*z**3 + 0*z**2 + 0 + 2/63*z**7 + 1/10*z**5. Factor g(a).
a**2*(a - 1)**2*(4*a - 1)/3
Let m = -1 + 5. Determine v, given that v**4 - 3*v - 8*v**3 + m*v - 3*v - 1 + 10*v**3 = 0.
-1, 1
Let m(u) = u**3 + 5*u**2 - 8*u - 9. Suppose g = -1 - 5. Let b be m(g). Factor 3*a**5 - 2*a**5 + a**b - 2*a**5.
-a**3*(a - 1)*(a + 1)
Let j(v) be the second derivative of 0 + 2/105*v**7 - 6*v - 1/10*v**6 + 0*v**2 + 3/25*v**5 + 1/15*v**4 + 0*v**3. Factor j(m).
m**2*(m - 2)**2*(4*m + 1)/5
Let u = -25 + 19. Let k be (u/(-5))/(3/10). Find h, given that -16/7*h**2 + 0 - 2/7*h**k + 10/7*h**3 + 8/7*h = 0.
0, 1, 2
Let b be 84/3003 + (-6)/(-39). Factor 8/11*f + 0 - b*f**3 + 0*f**2.
-2*f*(f - 2)*(f + 2)/11
Let f = -1/28 - -9/28. Let -2/7*j**2 + 0 - f*j = 0. What is j?
-1, 0
Let v(p) = -75 + p**2 + 75 - p. Let l(t) = 2*t + 8. Let o(u) = 1. Let b(g) = l(g) - 8*o(g). Let m(n) = b(n) + 2*v(n). Let m(x) = 0. Calculate x.
0
Let w(q) be the first derivative of 0*q + 1/9*q**3 + 1/2*q**2 - 2. Suppose w(s) = 0. What is s?
-3, 0
Let d(l) be the third derivative of 1/33*l**3 + 1/660*l**6 + 1/44*l**4 + 0*l + 0 - l**2 + 1/110*l**5. Factor d(c).
2*(c + 1)**3/11
Factor -3*a**2 - a**3 + 15*a - 8*a**2 - 4*a**3 + 21*a**2.
-5*a*(a - 3)*(a + 1)
Let a(h) = h - 5. Let c be a(6). Let s be (-11 + c)*(-12)/30. What is r in -s*r - 2 - 2*r**2 - r**2 + r**2 = 0?
-1
Let c(k) be the first derivative of 2*k**5/45 + k**4/18 - 2*k**3/27 - k**2/9 - 1. Factor c(z).
2*z*(z - 1)*(z + 1)**2/9
Let n(p) be the second derivative of -1/3*p**4 + 0*p**2 + 0*p**3 - p - 1/30*p**6 + 1/5*p**5 + 0. Factor n(m).
-m**2*(m - 2)**2
Let q(u) be the first derivative of 0*u**2 - 7 + 0*u + 2*u**5 + 2*u**4 - 2/3*u**3. Factor q(z).
2*z**2*(z + 1)*(5*z - 1)
Let z be (-2)/(-6) + 13/(-40). Let m(j) be the second derivative of 0*j**2 - 1/80*j**5 + 0*j**4 + z*j**6 + 0*j**3 + 2*j + 0. Factor m(i).
i**3*(i - 1)/4
Let u(p) be the third derivative of p**5/30 + p**4/3 + 4*p**3/3 - 26*p**2. Factor u(g).
2*(g + 2)**2
Let w(o) be the first derivative of o**6/10 - 3*o**5/10 + o**3 - 3*o**2/2 + 4*o + 5. Let f(b) be the first derivative of w(b). Determine j so that f(j) = 0.
-1, 1
Let c = -7 - 2. Let k = -6 - c. Factor m**2 + 3*m**2 - k*m**2.
m**2
Let q(k) be the first derivative of 0*k**2 + 0*k - 1/8*k**4 - 3 + 1/3*k**3. Factor q(i).
-i**2*(i - 2)/2
Let u(q) = q**3 - q + 2. Let f be u(0). Factor 4/5*w**3 - 1/5*w**f + 0 + 0*w - 3/5*w**4.
-w**2*(w - 1)*(3*w - 1)/5
Suppose -44 = -4*c - 16. Suppose x = s - c, -3*s + x = 4 - 15. Factor 0 + 1/2*d**s - 1/4*d**3 + 0*d.
-d**2*(d - 2)/4
Let p(r) be the second derivative of -3*r + 2/3*r**4 - 2/3*r**3 - 1/4*r**5 + 0*r**2 + 1/30*r**6 + 0. Let p(q) = 0. What is q?
0, 1, 2
Let u be 7/(-28) - (-31)/28. Factor 2/7*l**4 - u*l**3 + 0 + 6/7*l**2 - 2/7*l.
2*l*(l - 1)**3/7
Suppose 4*f - 5*f = g - 5, 14 = 4*g + f. Find z, given that 0 - 1/4*z**5 - 1/4*z - 3/2*z**g - z**4 - z**2 = 0.
-1, 0
Find r such that 2592 - 648*r - 3/2*r**3 + 54*r**2 = 0.
12
Determine v so that -32*v**3 + 2*v - 42*v**3 + 3*v**2 + 75*v**3 = 0.
-2, -1, 0
Let y(r) be the third derivative of -6*r**2 + 0 + r**4 - 9/10*r**5 + 0*r - 4/9*r**3. Determine c so that y(c) = 0.
2/9
Let d(i) = 3*i**2 - i - 1. Let l be ((-11)/(-22))/(1/(-2)). Let n be d(l). Determine t so that -2/5*t + t**2 + 0 + 3/5*t**n = 0.
-2, 0, 1/3
Let d(v) = 6*v**2 + 7*v. Let f be d(5). Let n = -731/4 + f. Factor n*k**2 + 21/4*k**4 + 9*k**3 + 0 - 3/2*k.
3*k*(k + 1)**2*(7*k - 2)/4
Let x(q) be the second derivative of -1/32*q**4 - 1/24*q**3 - 1/2*q**2 - 1/120*q**5 + 0 + q. Let d(t) be the first derivative of x(t). Factor d(y).
-(y + 1)*(2*y + 1)/4
Factor 4/9*j**4 + 0*j + 0*j**2 - 2/9*j**5 + 2/3*j**3 + 0.
-2*j**3*(j - 3)*(j + 1)/9
Let m(q) = q**3 - 6*q**2 - 2*q + 9. Let i be m(6). Let l be 8/6*i/(-2). Find a such that 2*a - 2*a**3 + 2 + a**l - 3*a**2 + 0*a**3 = 0.
-1, 1
Suppose -3*p + 40 = 2*p. Factor -2*v**3 + p - v**2 - 8 + 8*v**4.
v**2*(2*v - 1)*(4*v + 1)
Let k(n) be the third derivative of -3*n**7/280 + 13*n**6/480 - n**5/120 - n**4/24 + n**3/2 - 6*n**2. Let c(w) be the first derivative of k(w). Factor c(x).
-(3*x - 2)**2*(4*x + 1)/4
Let w(y) be the first derivative of -y**7/56 + 3*y**6/40 - 9*y**5/80 + y**4/16 + 5*y - 3. Let v(x) be the first derivative of w(x). Factor v(c).
-3*c**2*(c - 1)**3/4
Let l be 1 + 2/(-5)*(-80)/32. Solve 0*c + 0 - 1/4*c**l - 1/4*c**3 = 0 for c.
-1, 0
Let 0 - 3/5*d**2 + 3/5*d = 0. Calculate d.
0, 1
Let y(v) = -v**2 + 6*v - 5. Let o be y(4). Determine r, given that -7*r - 4*r**2 - o*r**4 - 2 + 4*r**4 + 7*r**3 + 5*r**4 = 0.
-1, -2/3, -1/2, 1
Let a be (-15)/15 + 2/2. Let q be 2*(1 + -2) - -4. Factor -12*p**q - 6*p**2 - 16 + 6*p**2 - 24*p - 2*p**3 + a*p**3.
-2*(p + 2)**3
Let y(m) be the first derivative of -m**7/490 + m**5/70 - m**3/14 + m**2 + 3. Let a(o) be the second derivative of y(o). Find n, given that a(n) = 0.
-1, 1
Suppose -2*c + 8 = 2*p, -2*c - 1 = -2*p + 3*c. Factor 5*g**p - g**3 - 2*g**5 - 2*g**3.
-2*g**3*(g - 1)*(g + 1)
Factor -3/5*x + 3/5*x**3 - 3/5 + 3/5*x**2.
3*(x - 1)*(x + 1)**2/5
Suppose -2*m - 2*f = -8, 4*m + 3*f = 4*f + 6. Factor 0*c - 2*c + 5*c + 2*c**m + c.
2*c*(c + 2)
Factor 2*o**2 + 1 + 1/2*o**3 + 5/2*o.
(o + 1)**2*(o + 2)/2
Let i be ((-2)/36)/(8/(-12)). Let c(a) be the second derivative of 2/3*a**3 + 2*a**2 + i*a**4 + 0 + 2*a. Factor c(d).
(d + 2)**2
Let n be (4505/1500)/1 - 3. Let j(f) be the third derivative of 3*f**2 + 1/50*f**5 + 0 - n*f**6 - 1/20*f**4 + 1/15*f**3 + 0*f. Determine o, given that j(o) = 0.
1
Let b be 4/8*50/(-1). Let f be (-40)/b - 4/(-10). Factor 12*h + 41/2*h**2 + f + 21/2*h**3.
(h + 1)*(3*h + 2)*(7*h + 2)/2
Let r = 1024/1539 - -2/1539. Determine d so that -2*d**2 + 0 - 2*d**3 - 2/3*d**4 - r*d = 0.
-1, 0
Let v(m) be the second derivative of -m**4/84 + m**2/14 - 9*m. Solve v(l) = 0 for l.
-1, 1
Let k(n) be the first derivative of -2*n**3 + 1/2*n**4 + 3*n**2 + 4 - 2*n. Let k(s) = 0. What is s?
1
Let o(c) be the first derivative of -2*c**3/21 + 18*c**2/7 - 162*c/7 + 56. Find g, given that o(g) = 0.
9
Let a be (-39 - -33) + (-44)/(-6). Factor -2/3*j**5 + 4/3*j**3 - 2/3 - 2/3*j**4 + a*j**2 - 2/3*j.
-2*(j - 1)**2*(j + 1)**3/3
Let p(z) be the third derivative of -z**7/945 + z**6/180 - z**5/90 + z**4/108 + 8*z**2. Determine c so that p(c) = 0.
0, 1
Let y(o) be the first derivative of o**5/90 + o**4/18 + o**3/9 - o**2 + 2. Let h(b) be the second derivative of y(b). Factor h(w).
2*(w + 1)**2/3
Let g = 2917