0. Factor w(c).
2*c*(c + 2)**2/7
Let i = 142 - 136. Find d such that i + 2/3*d**2 - 4*d = 0.
3
Let u(c) be the first derivative of -15*c**4/4 - 5*c**3/3 + 5*c**2 + 14. Factor u(w).
-5*w*(w + 1)*(3*w - 2)
Suppose -77*w + 82*w - 10 = 0. Let r(b) be the first derivative of -2/15*b**5 + 0*b - 2/9*b**3 + 1/3*b**4 + 3 + 0*b**w. Suppose r(u) = 0. What is u?
0, 1
Let q(o) = o + 4. Let a be q(3). Suppose b + a*b - 16 = 0. Let -2/5*x - 2/5*x**3 + 0 - 4/5*x**b = 0. Calculate x.
-1, 0
Let i = 21 + -21. Let m(h) be the second derivative of -1/24*h**3 + i + 1/40*h**5 - 1/8*h**2 - 1/120*h**6 + 3*h + 1/24*h**4 - 1/168*h**7. Solve m(a) = 0.
-1, 1
Let a(v) = v**3 - 10*v**2 - v + 13. Let m be a(10). Let -4/5*r**2 + 2/5*r**m + 0 + 2/5*r = 0. Calculate r.
0, 1
Let a(t) be the second derivative of -t**5/10 - 5*t**4/6 - t**3 + 9*t**2 - 10*t. Factor a(k).
-2*(k - 1)*(k + 3)**2
Let j(g) be the first derivative of 10/3*g**2 - 1/15*g**5 - 8/3*g - 2*g**3 + 1 + 7/12*g**4. Factor j(z).
-(z - 2)**3*(z - 1)/3
Let h(p) be the second derivative of -p**6/40 - p**5/20 + p**4/8 + p**3/2 + 5*p**2/8 + 2*p + 3. Determine x so that h(x) = 0.
-1, 5/3
Let v(w) be the second derivative of w**6/165 + w**5/22 + w**4/11 - 4*w**3/33 - 8*w**2/11 + 11*w. Factor v(x).
2*(x - 1)*(x + 2)**3/11
Let f(m) be the first derivative of -m**7/210 - m**6/120 + m**5/60 + m**4/24 + 2*m**2 + 7. Let i(j) be the second derivative of f(j). Factor i(t).
-t*(t - 1)*(t + 1)**2
Let o = -3/5 - -1. Let 3/5*k**2 - 1/5*k**4 + 0*k**3 + o*k + 0 = 0. Calculate k.
-1, 0, 2
Suppose -4*m - 4*w + 28 = -2*w, -2*w + 3 = -m. Suppose -4*q + 9*q - m = 5*b, 3*b - q + 1 = 0. Find g, given that -6/5*g**2 + 2/5*g + b = 0.
0, 1/3
Let z(d) be the third derivative of -3*d**2 + 0*d + 0 + 1/40*d**5 + 3/32*d**4 - 1/40*d**6 - 1/4*d**3 + 0*d**7 + 1/448*d**8. Find n such that z(n) = 0.
-2, -1, 1
Let m(k) be the second derivative of -k + 1/21*k**7 + 0*k**3 + 0 - 1/6*k**6 + 1/5*k**5 - 1/12*k**4 + 0*k**2. Factor m(l).
l**2*(l - 1)**2*(2*l - 1)
Factor 48/11*o - 32/11 + 2/11*o**3 - 18/11*o**2.
2*(o - 4)**2*(o - 1)/11
Let p(x) be the second derivative of x**6/30 - x**5/5 + 5*x**4/12 - x**3/3 + 7*x. Factor p(w).
w*(w - 2)*(w - 1)**2
Suppose -2*h + 2*d + 8 = -2, 4*d + 14 = h. Let y(m) be the third derivative of 1/120*m**5 + 0*m + 1/12*m**3 - 1/24*m**4 + 0 - m**h. Factor y(p).
(p - 1)**2/2
Suppose -v = 6 - 10. What is p in -3*p**5 + 3*p - 7*p**v - 12*p**4 + 13*p**4 + 6*p**2 = 0?
-1, 0, 1
Let r(a) be the second derivative of 8*a + 0 + 1/30*a**4 + 0*a**3 + 0*a**2. Solve r(f) = 0.
0
Let w(x) be the third derivative of -x**5/100 + x**4/40 + 6*x**2. Factor w(v).
-3*v*(v - 1)/5
Let u(m) be the first derivative of 0*m - 4/5*m**5 - 1/6*m**6 - 2 - 4/3*m**3 - 1/2*m**2 - 3/2*m**4. Suppose u(f) = 0. What is f?
-1, 0
Let w(a) be the first derivative of -a**3/3 - a**2/2 + 1. Let n(q) = -307 + 307 - 6*q - 6*q**2. Let h(m) = n(m) - 4*w(m). Solve h(r) = 0.
-1, 0
Let j(p) be the second derivative of p**5/10 - p**4/12 - 2*p**3/3 + 3*p**2/2 + 11*p. Factor j(l).
(l - 1)**2*(2*l + 3)
Let t(m) be the second derivative of -m**9/8064 + m**8/2240 - m**7/2240 + m**3/6 + 6*m. Let s(z) be the second derivative of t(z). Suppose s(g) = 0. What is g?
0, 1
Let x(y) = -6*y**3 - 8*y**2 - 2*y. Let h(t) = -t**4 + 24*t**3 + 33*t**2 + 8*t. Let w(u) = 2*h(u) + 9*x(u). Let w(b) = 0. Calculate b.
-1, 0
Let j(s) = s + 10. Let m(d) = -5*d - 51. Let b(a) = 11*j(a) + 2*m(a). Let f be b(-5). What is u in -1/3*u**f + 0 + 0*u**2 + 1/3*u = 0?
-1, 0, 1
Let i(c) be the third derivative of -2*c**2 + 19/120*c**6 + 0*c + 0 - 11/42*c**7 - 1/3*c**4 - 2/3*c**3 + 23/60*c**5 + 25/336*c**8. Solve i(h) = 0 for h.
-2/5, 1
Suppose -3*i**2 + 18*i - 15 - 5 + 3 - 10 = 0. Calculate i.
3
Let 32/11 + 2/11*y**2 - 16/11*y = 0. What is y?
4
Let s = 24/25 + 6/25. Solve -1/5*f**2 + s*f - 9/5 = 0 for f.
3
Let y = -432 + 4329/10. Let b = y - 2/5. Determine h, given that 0 - 1/4*h**2 - b*h = 0.
-2, 0
Find z, given that -6 - 6 - 2*z**2 + 8*z + 4*z**2 + 2*z**2 = 0.
-3, 1
Let l(t) be the first derivative of -3 + 0*t**3 + 0*t**2 + 0*t - 3/20*t**5 - 3/16*t**4. Let l(p) = 0. Calculate p.
-1, 0
Factor 417/4*p**2 + 49/4*p**4 + 5 - 41*p - 161/2*p**3.
(p - 5)*(p - 1)*(7*p - 2)**2/4
Let j(g) = 9*g**4 - 13*g**3 - 5*g**2. Let w(y) = -8*y**4 + 12*y**3 + 4*y**2. Let o(r) = -4*j(r) - 5*w(r). Factor o(f).
4*f**3*(f - 2)
Suppose 5 = -5*k, -4*k - 36 = -3*q - k. Suppose 10 = h + 2*s, 5*h + 4*s - 15 - q = 0. Find x such that 0 + 1/3*x + 1/6*x**h - 1/6*x**3 = 0.
-1, 0, 2
Let s(l) = l - 4. Let v be s(4). Factor -2*f**2 + 5*f - f**3 + v*f**4 - 5*f + f**4.
f**2*(f - 2)*(f + 1)
Factor 3*f**2 - 3*f**2 - 10*f + f + 3*f**2.
3*f*(f - 3)
Let i(u) = 2*u + 2. Let w be i(-4). Let a be (-1)/w - 4/(-12). Find o such that -3*o**2 - 2*o**3 - 2*o - a - 1/2*o**4 = 0.
-1
Let q(v) be the third derivative of v**6/30 - 2*v**5/15 - v**4/6 + 4*v**3/3 + 3*v**2. Factor q(z).
4*(z - 2)*(z - 1)*(z + 1)
Let a(c) be the third derivative of c**7/3360 + c**6/720 + c**5/480 - c**3 + 3*c**2. Let k(b) be the first derivative of a(b). Solve k(d) = 0.
-1, 0
Let m(f) = 8*f**2 - 4*f. Let o(g) be the third derivative of g**6/120 + 17*g**5/60 - g**4/3 + 3*g**2. Let u(y) = 5*m(y) - 2*o(y). Factor u(b).
-2*b*(b - 2)*(b - 1)
Let w = 1 - 9. Let z = w + 13. What is y in -2*y**4 - 8*y**5 + 2*y**2 + 5*y**3 + 0*y**z + 3*y**3 = 0?
-1, -1/4, 0, 1
Let u(a) be the third derivative of -a**7/735 - a**6/105 + a**5/210 + a**4/21 + 8*a**2. Factor u(k).
-2*k*(k - 1)*(k + 1)*(k + 4)/7
Let v(h) be the third derivative of h**6/180 + h**5/45 - h**4/12 + 7*h**2. Factor v(x).
2*x*(x - 1)*(x + 3)/3
Let z(x) be the third derivative of x**9/12096 - x**8/6720 - x**7/3360 + x**6/1440 - 2*x**3/3 - 5*x**2. Let l(r) be the first derivative of z(r). Factor l(y).
y**2*(y - 1)**2*(y + 1)/4
Let y(f) be the third derivative of -f**5/12 + 5*f**4/24 + 5*f**3 - 2*f**2 - 27. Factor y(w).
-5*(w - 3)*(w + 2)
Let o = -4979679/55 + 90537. Let n = 42/11 + o. What is j in -2/5*j**3 - 4/5 + 2*j + 2/5*j**4 - n*j**2 = 0?
-2, 1
Let l(t) be the second derivative of t**5/80 - t**3/24 + t. Solve l(a) = 0 for a.
-1, 0, 1
Let g(x) be the second derivative of -x**6/60 - x**5/40 - 2*x. Factor g(f).
-f**3*(f + 1)/2
Let c(d) be the third derivative of -d**8/6720 + d**6/720 + d**4/12 - 2*d**2. Let a(x) be the second derivative of c(x). Factor a(i).
-i*(i - 1)*(i + 1)
Let x be 3*(-1)/(-72) - 0. Let w(v) be the third derivative of x*v**4 - 1/60*v**5 + 0 + 0*v + v**2 + 0*v**3. Determine p, given that w(p) = 0.
0, 1
Let z(m) be the third derivative of 3*m**2 + 1/540*m**6 + 0*m**4 + 0*m**3 - 1/135*m**5 + 0 + 0*m. What is x in z(x) = 0?
0, 2
Let b(n) be the second derivative of n**4/12 - 2*n**3/3 + 3*n**2/2 + 2*n - 3. Suppose b(r) = 0. What is r?
1, 3
Let a be (36/(-54))/((-2)/9). Solve 5/2*x**4 + 0 - 2*x**5 + 3/2*x**a + 1/2*x - 5/2*x**2 = 0 for x.
-1, 0, 1/4, 1
Let h(a) be the first derivative of -a**5/15 + a**4/12 + a**3/9 - a**2/6 - 31. Suppose h(o) = 0. What is o?
-1, 0, 1
Let n(j) = 5*j**2 + 20*j - 20. Let a(o) = -5*o**2 - 19*o + 20. Let q(l) = 5*a(l) + 4*n(l). Determine h, given that q(h) = 0.
-4, 1
Let r(o) be the first derivative of o**3/6 - 5*o**2/2 - 11*o/2 + 6. Factor r(u).
(u - 11)*(u + 1)/2
Let f(o) = -o**2 + 9*o + 4. Let p be f(8). Find j such that p*j**3 + 132*j + 10*j**3 + 53*j**3 - 210*j**2 - 24 = 0.
2/5, 2
Let r = -9/14 + 73/70. Factor r*k**3 + 0 - 4/5*k**2 + 2/5*k.
2*k*(k - 1)**2/5
Determine s, given that 2/11*s**2 - 2/11*s**3 + 2/11*s + 0 - 2/11*s**4 = 0.
-1, 0, 1
Let m = 154 + -154. Factor m - 2/5*v**2 + 2/5*v.
-2*v*(v - 1)/5
Let v(k) be the first derivative of -k**3 + 6*k**2 - 12*k - 10. Factor v(l).
-3*(l - 2)**2
Suppose 5*j - 12 = j. Suppose -j + 4 + 50*v**2 - 51*v**2 = 0. Calculate v.
-1, 1
Let q(l) = -l + 5. Let f = 1 + -1. Let s be q(f). Factor w**s + w**3 - w**3 - w**4.
w**4*(w - 1)
Let o = 7 + -10. Let i be -3 + 5 + -2 - o. Find q, given that -3*q**3 + i*q**5 - 27*q**2 + 27*q**2 = 0.
-1, 0, 1
Let v(l) = -4*l**2 - l + 9. Let g(x) = 3*x**2 - 8. Let i = 14 + -3. Let n = i - 7. Let p(b) = n*v(b) + 5*g(b). Factor p(a).
-(a + 2)**2
Find b, given that -5*b**3 - 3*b**4 + 4*b**2 - b - 2*b + 5*b**4 + 2*b = 0.
0, 1/2, 1
Let k(c) be the third derivative of c**7/420 - c**5/60 + c**3/12 - 3*c**2. Factor k(r).
(r - 1)**2*(r + 1)**2/2
Le