tive of 0*c - c**2 + 1/16*c**4 + p - 1/60*c**5 - 1/12*c**3. Factor w(q).
-(q - 1)*(2*q - 1)/2
Let k(w) = -w**3 - 7*w**2 + 7*w - 6. Let o be k(-8). Factor 0*u**o + 0*u - 1/2*u**3 + 0.
-u**3/2
Let i(j) be the second derivative of -7*j**5/15 + j**4 + 80*j**3/9 - 8*j**2 + 28*j. Factor i(m).
-4*(m - 3)*(m + 2)*(7*m - 2)/3
Let y(a) be the first derivative of -2*a**5/65 + a**4/26 + 2*a**3/13 - 5*a**2/13 + 4*a/13 + 8. Suppose y(p) = 0. What is p?
-2, 1
Let z(j) be the first derivative of 1/2*j**4 + 3 + 4*j - j**3 - 2*j**2 + 1/5*j**5. Factor z(p).
(p - 1)**2*(p + 2)**2
Let t = 8 - 8. What is g in 1/5*g**2 + t + 1/5*g**3 + 0*g = 0?
-1, 0
Let d be (-2)/1 - (-25)/(-5). Let m = d - -9. Factor -5 - u**m + 2 + 3 + u.
-u*(u - 1)
Let i(x) = 1 - 1 + x**2 + 1. Let g(m) = 7*m**2 + 3. Let v(k) = g(k) - 5*i(k). Factor v(b).
2*(b - 1)*(b + 1)
Let q be 9/(36/(-16)) - (-16)/3. Factor 2/3 + 2/3*c**2 + q*c.
2*(c + 1)**2/3
Suppose 5*r + 3*k - 15 = 4, 4*r + 4*k - 20 = 0. Let c(j) be the first derivative of 4 + 0*j + 0*j**r - 2*j**3 + 3/4*j**4. Factor c(g).
3*g**2*(g - 2)
Let o(t) be the first derivative of -t**8/280 - t**7/84 - t**6/90 + 2*t**3/3 - 2. Let g(w) be the third derivative of o(w). Let g(h) = 0. What is h?
-1, -2/3, 0
What is h in -2/9*h**3 - 2/3*h + 2/3*h**2 + 2/9 = 0?
1
Factor 8/7*v - 2/7*v**2 - 6/7.
-2*(v - 3)*(v - 1)/7
Let i = -11/7 + 47/21. Let u = 4 - 2. Suppose -2*m - i*m**u - 4/3 = 0. Calculate m.
-2, -1
Find l, given that 4*l - 13/3*l**2 + 2*l**3 - 1/3*l**4 - 4/3 = 0.
1, 2
Determine f, given that 1/4*f**2 - 3/4*f + 1/2 = 0.
1, 2
Let v(m) be the third derivative of -m**5/150 + m**4/24 - m**3/15 - 11*m**2. Determine a, given that v(a) = 0.
1/2, 2
Let 6*a**3 + 10*a**3 + a**2 + 3*a**5 + 5*a**2 - 25*a**3 = 0. What is a?
-2, 0, 1
Let f be 2/8 - (-22)/264. Suppose -h - 5*k + 12 = 0, 6 = -3*h + 8*h - 2*k. Factor f - 1/6*p - 1/6*p**h.
-(p - 1)*(p + 2)/6
Let s(u) be the third derivative of -u**9/3024 - u**8/1680 + u**7/840 + u**6/360 - u**3/3 + 3*u**2. Let j(g) be the first derivative of s(g). Factor j(m).
-m**2*(m - 1)*(m + 1)**2
Suppose 14 = 2*o + 4*u - 2*u, -3 = -5*o + 3*u. Factor -16*m**3 + 2*m**2 - 4 + 2*m**2 + 20*m**o - 4*m.
4*(m - 1)*(m + 1)**2
Factor -x - 1/2*x**2 + 3/2.
-(x - 1)*(x + 3)/2
Let z(r) be the third derivative of r**6/120 - 2*r**5/15 + 5*r**4/6 - 8*r**3/3 + 7*r**2. Factor z(k).
(k - 4)*(k - 2)**2
Let o(h) be the first derivative of -6*h**5/5 + 15*h**4/4 - 3*h**3 - 3*h**2/2 + 3*h - 13. Find g, given that o(g) = 0.
-1/2, 1
Let w(v) be the first derivative of 2*v**5/35 - v**4/28 - v**3/7 + v**2/14 + v/7 - 23. Solve w(b) = 0.
-1, -1/2, 1
Let h be -1 - -1*4 - -2. Suppose 35 = h*g - 2*a + 10, 0 = -g + a + 8. Solve -3*w - 2*w**3 + g*w = 0 for w.
0
Let s be (-15)/(-84) - 9/(-36). Factor s*h**2 - 6/7 + 3/7*h.
3*(h - 1)*(h + 2)/7
Let x be (7 - 6) + (1 - 0). Factor 5*t**3 + 10 - 2*t**x - 10.
t**2*(5*t - 2)
Let i = -9 + 11. Let z = 3 + i. Factor 2/3*q**2 + 0 - 10/3*q**4 + 2/3*q - 4/3*q**z - 2*q**3.
-2*q*(q + 1)**3*(2*q - 1)/3
Let m(u) be the first derivative of u**5/40 + u**4/32 - 10. Solve m(x) = 0.
-1, 0
Let b(q) = -6*q**2 + 1. Let g(c) = c**2. Let k(p) = -b(p) - 5*g(p). Let h(w) = -10*w**2 + 12*w - 10. Let d(i) = -h(i) - 8*k(i). Find a, given that d(a) = 0.
3
Let r(y) be the second derivative of y**5/25 + 6*y**4/5 + 72*y**3/5 + 432*y**2/5 - 6*y. Let r(g) = 0. Calculate g.
-6
Let s(h) be the second derivative of -h**7/2940 - h**6/1260 + h**5/420 + h**4/84 + h**3/3 - 2*h. Let d(u) be the second derivative of s(u). Factor d(a).
-2*(a - 1)*(a + 1)**2/7
Let n(z) be the third derivative of -z**9/1512 + z**8/1120 + z**7/1680 + z**3/2 + 2*z**2. Let l(j) be the first derivative of n(j). Factor l(v).
-v**3*(v - 1)*(4*v + 1)/2
Suppose 0 = 6*j - 2*j - 20. Suppose -j*a + 4*d = 8, 12 = -2*a + 4*d + 4. Factor -3*y**2 - 4 + 6*y + a + y**2.
-2*(y - 2)*(y - 1)
Factor -7*f**3 + 2*f - 4*f - 2 + 20*f**2 + 0*f**2 - 9*f**3.
-2*(f - 1)*(2*f - 1)*(4*f + 1)
Let l = 126 + -121. Let 0 + 2/7*m**2 - 2/7*m**3 + 2/7*m**l + 0*m - 2/7*m**4 = 0. Calculate m.
-1, 0, 1
Factor 3/5*k**2 - 24/5*k - 3/5*k**4 + 12/5 - 3/5*k**5 + 3*k**3.
-3*(k - 1)**3*(k + 2)**2/5
Let w(r) be the second derivative of -r**6/1800 - r**3/2 + 2*r. Let d(g) be the second derivative of w(g). Factor d(l).
-l**2/5
Suppose 0 = -2*j, q - 3*j - 2 = -7*j. Suppose -q*y + 1 + 3 = 0. Find i, given that -i**2 - 3*i + 2*i**3 - 5*i**3 + y*i**3 - 1 - 2*i**2 = 0.
-1
Let d(s) be the third derivative of -s**7/8820 + s**5/420 - 5*s**4/24 + 5*s**2. Let o(m) be the second derivative of d(m). Factor o(x).
-2*(x - 1)*(x + 1)/7
Let p(i) = -i**3 - i. Let b(d) = -2*d**3 - 6*d**2 + 2*d - 2. Let y be -4*2/(-4)*2. Let s(q) = y*p(q) - b(q). Find a, given that s(a) = 0.
1
Let l = 10833/196 - 221/4. Let k = 46/147 + l. Factor 0 - k*t**3 + 0*t + 1/3*t**2.
-t**2*(t - 1)/3
Let w(b) be the first derivative of b**8/4200 + b**7/525 + b**6/150 + b**5/75 + b**4/60 - 4*b**3/3 - 1. Let h(p) be the third derivative of w(p). Factor h(d).
2*(d + 1)**4/5
Suppose -2*w = 3*u - 12, -2*w + 0*w = -3*u. Let x be (u - (-5)/(-2))*0. Factor x + 0*l - 2/3*l**3 - 2/3*l**2.
-2*l**2*(l + 1)/3
Let a = 18 - 6. Let x = a + -8. Factor -3 + 1 + 3*m**4 - 5*m**x + 4*m**2.
-2*(m - 1)**2*(m + 1)**2
Let x(b) be the third derivative of b**5/150 - b**4/15 + b**3/5 - 5*b**2. Solve x(m) = 0 for m.
1, 3
Suppose 17 = 4*v - 3, v + 5 = -2*g. Let z(m) = -m**2 - 6*m - 1. Let o be z(g). Find r such that 4 - 14*r**3 + 2 + 14*r - 2 - o*r**2 = 0.
-1, -2/7, 1
Let y = -5/222 - -7/37. Let -1/6 + 1/6*d**2 - 1/6*d + y*d**3 = 0. What is d?
-1, 1
Let m(d) be the third derivative of 1/24*d**4 + 0*d**5 + 0*d**3 - 1/120*d**6 + 0*d + 0 - 2*d**2. Factor m(z).
-z*(z - 1)*(z + 1)
Let l(a) be the third derivative of -2*a**7/15 - a**6/6 + 2*a**5/15 - 7*a**2. Suppose l(h) = 0. Calculate h.
-1, 0, 2/7
Let r be 6/(-4)*(11 - 13). Factor 6*k**2 - 2 + 2 - r - 3*k**4.
-3*(k - 1)**2*(k + 1)**2
Let y(d) be the second derivative of d**4/12 + 4*d**3/3 - 3*d**2 - 2*d. Let b be y(-9). Factor -v**3 + 3*v**b + 3*v**4 + v**4 - 6*v**5.
-2*v**3*(v - 1)*(3*v + 1)
Let p(i) = 10*i - 3. Let g be p(-3). Let b = g - -36. What is k in 0 + 0*k**b - 1/5*k**4 + 0*k + 1/5*k**2 = 0?
-1, 0, 1
Let 11*y + 5*y**2 + 0*y**2 - 30 - 16*y = 0. What is y?
-2, 3
Let i(l) = -3*l**2 + 36*l + 39. Let x(g) = -g**2 + 9*g + 10. Let r = 4 + -8. Let y(k) = r*i(k) + 15*x(k). Find d, given that y(d) = 0.
-2, -1
Let p be (5/6)/((-10)/(-4)). Find o such that 0 + p*o**2 - 2/3*o = 0.
0, 2
Let u be (11 - 5)*1/1155*2. Let x(d) be the third derivative of 1/264*d**8 + 1/165*d**5 + 3*d**2 - u*d**7 + 0*d**4 + 1/220*d**6 + 0*d**3 + 0 + 0*d. Factor x(o).
2*o**2*(o - 1)**2*(7*o + 2)/11
Let g(s) = 9*s**2 - 11*s + 14. Let m(h) = h**2 + h + 1. Let y(r) = -g(r) + 4*m(r). Factor y(j).
-5*(j - 2)*(j - 1)
Let k be (-3)/(2 + (-7)/2). Let o(d) be the first derivative of 1/3*d**3 - d**k + 2 + d. Find j, given that o(j) = 0.
1
Suppose 22 = 3*l + 13. Determine a so that -2/11*a**l + 0 - 2/11*a**2 + 4/11*a = 0.
-2, 0, 1
Let l(m) be the first derivative of 7*m**5/30 + 3*m**4/8 + m**3/9 - 7. Let l(j) = 0. Calculate j.
-1, -2/7, 0
Let z(n) be the first derivative of n**9/7056 + n**8/1960 + n**7/1960 - 2*n**3/3 - 2. Let t(s) be the third derivative of z(s). Let t(b) = 0. What is b?
-1, 0
Factor -1/4*n**4 - 9/4*n**2 - 5/4*n**3 - 7/4*n - 1/2.
-(n + 1)**3*(n + 2)/4
Let b(r) be the third derivative of r**6/40 - r**5/20 - 5*r**4/8 - 3*r**3/2 - 2*r**2. Solve b(c) = 0.
-1, 3
Factor 2/9 - 4/9*x + 2/9*x**2.
2*(x - 1)**2/9
Let a(p) be the third derivative of -1/60*p**4 - 3*p**2 - 2/525*p**7 + 0*p**6 + 1/840*p**8 + 0*p**3 + 1/75*p**5 + 0 + 0*p. Find h, given that a(h) = 0.
-1, 0, 1
Let g be 33 - (3 - 2 - 3). Let -g - 27*a + 8 - 28*a**2 - a**3 + 19*a**2 = 0. Calculate a.
-3
Factor 0 - 5/6*g - 5/6*g**2.
-5*g*(g + 1)/6
Let a = 109/444 + -6/37. Let o(t) be the second derivative of 0*t**3 + 3*t + 1/30*t**6 + 0 - 1/10*t**5 + a*t**4 + 0*t**2. Find k such that o(k) = 0.
0, 1
Let k(u) = u**3 - 7*u**2 + 7*u. Let y be k(6). Let w = -3 + y. Factor p**4 + p**w - p**3 + 2*p**3 + p**2.
p**2*(p + 1)**2
Let n(u) = u**2 + u - 1. Let s(t) = -4*t**2 - 4*t + 3. Let y(p) = -6*n(p) - 2*s(p). What is z in y(z) = 0?
-1, 0
Let b(n) = -n**3 - 7*n**2 - n - 3. Let f(d) = 6*d**2 + 2. Let x(c) = 4*b(c) + 6*f(c). Factor x(k).
-