en that p(s) = 0.
0
Let r(b) be the third derivative of b**5/240 - b**4/32 - b**3/6 - 13*b**2 - 2*b. Solve r(z) = 0.
-1, 4
Let s = -12 - -18. Let c(y) = y**2 - 7*y + 7. Let b be c(6). Let -s*h + b - 3*h**2 - 5 + 1 = 0. What is h?
-1
Let h be (-110 - -3) + (0 - 1). Let a = -536/5 - h. Suppose 2/5*i**2 + 0*i + 0 + 2/5*i**4 - a*i**3 = 0. Calculate i.
0, 1
Suppose -8*n + 4*n = 0. Let k(w) be the third derivative of 1/180*w**5 - 1/36*w**4 + 0 + w**2 + n*w + 1/18*w**3. Factor k(p).
(p - 1)**2/3
Let z(h) be the first derivative of h**2 - 1/80*h**5 - 3 + 0*h - 1/4*h**3 - 3/32*h**4. Let a(c) be the second derivative of z(c). What is y in a(y) = 0?
-2, -1
Suppose 2*u + u - 9 = 0. Let a(p) be the first derivative of -p**2 + 0*p + 4/5*p**5 - 2 + 1/3*p**6 + 0*p**4 - 4/3*p**u. Factor a(n).
2*n*(n - 1)*(n + 1)**3
Let p(u) be the third derivative of 1/9*u**3 - u**2 + 0*u**4 + 0 - 1/90*u**5 + 0*u. What is n in p(n) = 0?
-1, 1
Determine u, given that 5/2*u**5 - 11/2*u**4 - 1/2*u**2 + 7/2*u**3 + 0*u + 0 = 0.
0, 1/5, 1
Let f(u) = -u**2 - 2*u - 10. Let d = 6 - 0. Let p(z) = -z**2 - 3*z - 11. Let b(v) = d*p(v) - 7*f(v). Solve b(o) = 0 for o.
2
Let f(u) be the second derivative of 49*u**6/40 + 63*u**5/10 + 15*u**4/2 + 4*u**3 - u**2 + 4*u. Let h(w) be the first derivative of f(w). Solve h(d) = 0.
-2, -2/7
Let l = -84 - -86. Suppose -4/3*f**l + 20/3*f**3 + 0*f + 0 - 25/3*f**4 = 0. What is f?
0, 2/5
Let q = -4 - -6. Determine s so that 0 - 2*s - 6*s**2 + 0 + 5*s**q = 0.
-2, 0
Let o(p) = -p + 11. Let g be o(10). Let c(y) = -4*y**3 + 4*y**2 + 2*y. Let i(f) = -f**4 + f**2 + f. Let z(q) = g*c(q) - 2*i(q). Determine j so that z(j) = 0.
0, 1
Let g be (-4 + 6 - 3)*0. Let o = g + 0. Factor -1/3*v**2 + 0*v + o.
-v**2/3
Let n(f) = -f**3 - 2*f**2 + 2*f - 1. Let m be n(-3). Factor -4*r + r + 0*r**2 + 2 + m*r**2 - r.
2*(r - 1)**2
Suppose -2*h + 39 = 33. Let -9/4*w**h - 9/4*w**2 + 0 - 3/4*w**4 - 3/4*w = 0. What is w?
-1, 0
Let g be (-115)/(-15) - (-2)/6. Suppose 0*c + 2*c - g = 0. Let -2/3*f**c + 2/3*f**2 + 0*f**3 + 0*f + 0 = 0. What is f?
-1, 0, 1
Let a(j) be the second derivative of j**6/5 - 9*j**5/20 + j**3/2 - 22*j. Factor a(l).
3*l*(l - 1)**2*(2*l + 1)
Let m(t) be the first derivative of -t**6/10 + 8*t**5/25 - t**4/20 - 8*t**3/15 + 2*t**2/5 - 7. Suppose m(z) = 0. What is z?
-1, 0, 2/3, 1, 2
Let k(x) = -x + 7. Let b be k(4). Factor -4*j**2 + 4*j**2 - j**b + j**5.
j**3*(j - 1)*(j + 1)
Let d be 3/(-9) - 1/(-3). Let c(p) be the third derivative of 2*p**2 + 0*p + 1/24*p**6 + 1/3*p**3 + d - 1/30*p**5 - 5/24*p**4. Determine n so that c(n) = 0.
-1, 2/5, 1
Let w(z) be the second derivative of 0*z**4 + z - 1/27*z**3 + 1/90*z**5 + 0*z**2 + 0. Find b, given that w(b) = 0.
-1, 0, 1
Let s(l) be the third derivative of -l**5/80 + 3*l**4/16 - 9*l**3/8 - 11*l**2. Determine b, given that s(b) = 0.
3
Let c(s) = -26*s**2 + 9*s + 18. Let z(y) = -y - 1. Let n(f) = -c(f) - 4*z(f). Let r(m) = 4*m + 5 - 9*m**2 + m - 3*m. Let q(p) = 6*n(p) + 17*r(p). Factor q(i).
(i + 1)*(3*i + 1)
Let x = 104/3 - 34. Let s = 8 + -22/3. Factor s*l - x*l**2 + 0.
-2*l*(l - 1)/3
Let v(t) = -3*t**2 - 10*t + 27. Let o(g) = -2*g**2 - 6*g + 18. Let r(j) = -7*o(j) + 5*v(j). Factor r(m).
-(m - 1)*(m + 9)
Let x be (-17)/(-7) + 228/(-532). Suppose 1/3*o + 1/2*o**4 - 1/6*o**5 - 1/2*o**x + 0 - 1/6*o**3 = 0. What is o?
-1, 0, 1, 2
Let x be (-3)/2*16/(-12). Suppose -x*m = m. Solve 0 + 0*u**4 + m*u**3 - 2/9*u**5 + 0*u + 0*u**2 = 0.
0
Let d(u) be the first derivative of 0*u**2 - 1/5*u**4 - 2/25*u**5 + 0*u - 3 - 2/15*u**3. Find m, given that d(m) = 0.
-1, 0
Let y(t) = -5*t**2 + 10*t + 14. Let a(w) = -4*w**2 + 10*w + 14. Let n(x) = -6*a(x) + 5*y(x). Let b be n(-8). Solve 2/3*z**b + 4/3*z + 0 = 0.
-2, 0
Let d be 62/(-8)*(-7 + 6). Let l = -151/20 + d. Let 0 + l*k**2 + 1/5*k = 0. What is k?
-1, 0
Let n = 0 - 2. Let u(c) = c**2. Let j be u(n). Find l, given that -19*l**3 + 2*l**4 + 0*l**4 - l**j - l**5 - l**2 + 20*l**3 = 0.
-1, 0, 1
Let g(x) = x - 3. Let j be g(7). Factor -p**3 + 4*p - p**2 - 4*p + j*p**3.
p**2*(3*p - 1)
Let a(y) = 5*y**4 - 8*y**3 + 7*y**2 + 4. Let r(d) = 14*d**4 - 23*d**3 + 20*d**2 + 11. Let h(p) = -11*a(p) + 4*r(p). Factor h(g).
g**2*(g - 3)*(g - 1)
Let m(t) be the first derivative of 16*t + 28/3*t**3 - 20*t**2 - 3/2*t**4 - 1. Factor m(u).
-2*(u - 2)**2*(3*u - 2)
Let d = -11006/15 - -734. Suppose 0*t - d*t**4 + 2/15*t**3 + 0 + 4/15*t**2 - 2/15*t**5 = 0. Calculate t.
-2, -1, 0, 1
Let n(x) be the third derivative of -x**10/907200 + x**5/30 + 3*x**2. Let j(a) be the third derivative of n(a). Suppose j(t) = 0. Calculate t.
0
Let x = -124 - -126. Factor 2/5*k**3 - 2/5*k**5 + 0*k**x + 0 + 0*k**4 + 0*k.
-2*k**3*(k - 1)*(k + 1)/5
Let c(h) = -h**3 + 7*h**2 + 8*h + 4. Let b be c(8). Let 3*o - 3*o + 2*o**2 + 0*o - 1 - o**b = 0. Calculate o.
-1, 1
Let c(a) be the third derivative of 1/1008*a**8 + 0*a**3 + 0*a + 1/315*a**7 + 0*a**5 + 0*a**4 + 0 + a**2 + 0*a**6. Suppose c(k) = 0. What is k?
-2, 0
Let z be 1*7 - (-9)/(-3). Suppose z*h - 2*h = 4. Find p, given that 8/5 - 8/5*p + 2/5*p**h = 0.
2
Let x(c) = 31*c**3 + 29*c**2 + 31*c. Let g(b) = -6*b**3 - 6*b**2 - 6*b. Let p(w) = -11*g(w) - 2*x(w). What is j in p(j) = 0?
-1, 0
Let i(t) be the first derivative of 0*t**2 - 6/5*t**5 - 9/8*t**4 - 6 - 1/3*t**3 + 0*t - 5/12*t**6. Factor i(c).
-c**2*(c + 1)**2*(5*c + 2)/2
Let p(d) = 3*d**2 - d - 2. Suppose -3*g - 3*n = -5*n + 35, -5*n - 6 = g. Let x(y) = 8*y**2 - 2*y - 6. Let t(c) = g*p(c) + 4*x(c). Factor t(m).
-(m - 2)*(m - 1)
Let o(r) be the first derivative of -8 - 1/3*r**3 - r**2 + 0*r. Determine p so that o(p) = 0.
-2, 0
Let r(h) be the first derivative of -h**4/16 + h**3/6 + 7*h**2/8 + h + 14. Find x such that r(x) = 0.
-1, 4
Factor 977*f**2 + 230*f + 280*f + 246*f**2 + 702*f**2 + 45 + 2420*f**3.
5*(4*f + 1)*(11*f + 3)**2
Let i(b) be the first derivative of -b**3/3 + b**2/2 + 2*b - 3. Determine k, given that i(k) = 0.
-1, 2
Let t be (0*11/44)/2. Factor 0 + 2/11*a**3 + 0*a + t*a**2.
2*a**3/11
Suppose -9*i**2 + 48*i**5 - 20*i**4 - 11*i**2 + 0*i**2 - 43*i**5 + 5*i + 30*i**3 = 0. What is i?
0, 1
Let r be (-50)/40*6/(-5). Suppose 3*v**4 + 0*v**3 + 0 + r*v - 3*v**2 - 3/2*v**5 = 0. Calculate v.
-1, 0, 1
Let w(x) = -2*x**2 + 4*x + 4. Let p(h) = -4*h**2 + 9*h + 8. Let c(f) = -f**2 + 11*f - 15. Let i be c(10). Let a(k) = i*w(k) + 2*p(k). Factor a(b).
2*(b - 2)*(b + 1)
Let n = -10 + 10. Let v(r) be the third derivative of -r**2 + 0 + 1/210*r**5 + 0*r**4 + 0*r**3 + n*r. Suppose v(d) = 0. What is d?
0
Suppose -2*h = -h. Let c(i) = i**2 - i + 2. Let b be c(h). Let -3/4*f**b - 1/4*f**3 + 0 - 1/2*f = 0. What is f?
-2, -1, 0
Let i(r) be the second derivative of r**4/9 - 5*r**3/18 - r**2 - r - 4. Solve i(p) = 0 for p.
-3/4, 2
Let k(u) be the third derivative of -u**5/30 - u**4/6 + 6*u**2. Factor k(y).
-2*y*(y + 2)
Let t(s) = 4*s**2 - 2 - 1 + 1. Let l(x) = 9*x**2 - x - 5. Let k(q) = 2*l(q) - 5*t(q). Factor k(g).
-2*g*(g + 1)
Let n = -158/7 + 12647/560. Let r(j) be the second derivative of 0*j**2 + 0*j**4 - 1/168*j**7 - n*j**5 + 0 + 1/60*j**6 + 0*j**3 - 2*j. Solve r(z) = 0.
0, 1
Find p, given that -24 - 3*p**2 + 2*p**2 + 36*p + 3*p**3 - 17*p**2 = 0.
2
Factor 4/7*t**4 + 0*t + 4/7*t**2 + 8/7*t**3 + 0.
4*t**2*(t + 1)**2/7
Suppose 27*k**2 - 30*k + 3/2*k**4 - 21/2*k**3 + 12 = 0. Calculate k.
1, 2
Let d(o) = -o + 12. Let a(s) = -s + 16. Let h be a(7). Let c be d(h). Find q, given that -3/4*q**4 - q**5 + 5/4*q**c + 0 - 1/4*q + 3/4*q**2 = 0.
-1, 0, 1/4, 1
Let j(w) be the first derivative of -w**4/6 + 2*w**3/9 - 40. Factor j(f).
-2*f**2*(f - 1)/3
Let t(q) be the second derivative of q**5/10 - 5*q**4/6 + 13*q**3/6 - 11*q**2/2 + q. Let r(b) = b + 1. Let o(n) = 3*r(n) + t(n). Let o(h) = 0. What is h?
1, 2
Suppose -u - 3 = 3*g, 0 = -u - 0*u - 3. Factor -33/4*k**4 - 3/4*k**2 + 27/4*k**3 - 3/4*k + 3*k**5 + g.
3*k*(k - 1)**3*(4*k + 1)/4
Let q(c) be the third derivative of c**5/100 + c**4/10 + 2*c**3/5 - 31*c**2. Find h such that q(h) = 0.
-2
Let w(x) = x**3 + x**2 + x + 1. Let c(j) = -13*j**3 - 11*j**2 - 4*j - 6. Let v(p) = c(p) + 6*w(p). Factor v(y).
-y*(y + 1)*(7*y - 2)
Suppose 3*u + 4*c - 27 = c, -2*u + 18 = 3*c. Suppose 0 = -6*w + w + 10. Determine x so that -u*x**2 + 40*x**3 + x**2 - 50*x**4 + 0*x**w = 0.
0, 2/5
Let n(y) be the third derivative of y**6/60 - 2*y**5/35 + 