1, 0, 1
Let t(p) be the first derivative of -9 + 3/10*p**2 - 2/5*p - 1/15*p**3. Factor t(n).
-(n - 2)*(n - 1)/5
Let u be (-2)/2*0 - -3. Solve -6*h**u + 0*h - 1/2 + 13/2*h**2 = 0 for h.
-1/4, 1/3, 1
Factor -16/7*b - 2/7 - 32/7*b**2.
-2*(4*b + 1)**2/7
Suppose 2*n - 16 = -4*x, -x - 14 = -3*n - n. Factor -1/3*w**3 + 1/3*w**5 + 0 + 1/3*w**n + 0*w - 1/3*w**2.
w**2*(w - 1)*(w + 1)**2/3
Let s be 4 + (3 + -3)/(-1). Suppose -s*g + 2 = q - 3*g, 3*g = -q. Let -3/2*d**4 + 6*d**2 - 3/4*d**5 + 21/4*d + 3/2 + 3/2*d**q = 0. What is d?
-1, 2
Factor 24/5*g**2 + 1/5*g**4 - 8/5*g**3 + 16/5 - 32/5*g.
(g - 2)**4/5
Let m(u) be the first derivative of u**6/9 + 4*u**5/15 - 4*u**3/9 - u**2/3 + 7. Factor m(r).
2*r*(r - 1)*(r + 1)**3/3
Let m(x) = -x**3 + 2*x - 1. Let n(l) = -l**3 + l**2 + 3*l - 3. Let r(i) = 2*m(i) - n(i). Factor r(g).
-(g - 1)*(g + 1)**2
Let k = -1 + 1. Suppose -6 = -j + q - 2, 3*q = k. Factor 0*d**4 - 2*d**5 - j*d**2 + 5*d + 4*d**4 - 3*d.
-2*d*(d - 1)**3*(d + 1)
Let b = -10 + 14. Let f(w) be the first derivative of 14/5*w**5 - 4/5*w**2 + 8/5*w - 26/5*w**3 + 1 + 2/5*w**b. Suppose f(z) = 0. Calculate z.
-1, -2/5, 2/7, 1
Let i(p) be the third derivative of p**6/210 - p**4/14 + 4*p**3/21 - 19*p**2. Determine t, given that i(t) = 0.
-2, 1
Let l = -164999/120 + 1375. Let r(z) be the third derivative of 0*z + 1/25*z**5 + l*z**6 + z**2 + 3/40*z**4 + 1/15*z**3 + 0. Let r(k) = 0. Calculate k.
-1, -2/5
Let k(g) = 5*g**4 + 2*g**3 + 8*g**2 + 12*g + 4. Let c(v) = -v**3 - v**2 + 4*v - 3*v + 1 + v**4 + 0*v**4. Let i(z) = -12*c(z) + 3*k(z). Factor i(d).
3*d*(d + 2)**3
Let z(s) be the third derivative of -s**7/1050 + s**6/600 + s**5/100 - s**4/120 - s**3/15 + 3*s**2. Factor z(w).
-(w - 2)*(w - 1)*(w + 1)**2/5
Let l(r) be the third derivative of -r**6/60 - r**5/6 - 2*r**4/3 - 4*r**3/3 + 8*r**2. Solve l(z) = 0 for z.
-2, -1
Suppose 17 = -2*o + o. Let c = -8 - o. Let 6*f**3 - 2 + 2 + 4*f**5 - f**2 - c*f**4 = 0. What is f?
0, 1/4, 1
Let g = -1 + 5. Let v be (1/(g/2))/1. Factor -y**2 - 1/4*y**3 - 5/4*y - v.
-(y + 1)**2*(y + 2)/4
Let o = 358 + -356. Factor -10/7*t - 4/7 - 8/7*t**o - 2/7*t**3.
-2*(t + 1)**2*(t + 2)/7
Let i(r) = r**2 + 7*r - 18. Let c be i(-9). Let k(o) be the first derivative of 0*o**2 + 2 + c*o - 1/3*o**3 - 1/4*o**4. Factor k(h).
-h**2*(h + 1)
Let m(s) be the third derivative of -s**6/150 - s**5/15 - 7*s**4/30 - 2*s**3/5 - 17*s**2. Factor m(y).
-4*(y + 1)**2*(y + 3)/5
Solve -152*v**3 + 32 + 96*v - 6*v**4 - 39*v**4 - 96*v**2 + 3*v**4 = 0 for v.
-2, -2/7, 2/3
Let r = 34174/653 - 1/1959. Let a = 53 - r. Solve 2/3*w**5 - 2/3*w**3 + a*w**2 + 0*w + 0 - 2/3*w**4 = 0.
-1, 0, 1
Let p = 8/7 + -9/14. Determine k so that p - 11/4*k - 7/4*k**3 + 4*k**2 = 0.
2/7, 1
Let t(k) = 3*k - 7. Let u be t(4). Let j = 9 - u. Factor 4/7*f**j + 0 - 2/7*f**5 - 2/7*f**3 + 0*f**2 + 0*f.
-2*f**3*(f - 1)**2/7
Let n be 4 + ((-4)/14 - (-15)/(-21)). Factor 0 - h**n + 1/3*h**5 + 1/3*h**4 - 1/3*h**2 + 2/3*h.
h*(h - 1)**2*(h + 1)*(h + 2)/3
Let b(x) be the third derivative of -x**8/840 + 4*x**7/525 - x**6/50 + 2*x**5/75 - x**4/60 - 2*x**2. What is j in b(j) = 0?
0, 1
Suppose -5*k + 75 = -4*w + 209, 2*k + 3*w + 49 = 0. Let q be k/(-42) - 6/21. Determine r so that q*r + 0*r**4 + 1/3*r**5 + 0*r**2 - 2/3*r**3 + 0 = 0.
-1, 0, 1
Let i = 8 + -8. Suppose 5 = w - i*w. Let -7 + 3*p**2 + 2 + w = 0. What is p?
0
Let d(t) = 3*t**4 + 9*t**2 + 6*t - 6. Let q = -16 - -10. Let f(v) = v**3 - v**2 - v + 1. Let k(w) = q*f(w) - d(w). Determine j, given that k(j) = 0.
-1, 0
Let n be (-18 - -24) + ((-74)/16 - 1). Solve 1/8*p**2 - 1/4*p - n = 0 for p.
-1, 3
Let z(g) be the second derivative of -7*g**6/150 - 9*g**5/100 + 11*g**4/20 - 11*g**3/30 - 3*g**2/5 + 6*g. Find i such that z(i) = 0.
-3, -2/7, 1
Let i(q) be the first derivative of -q**8/840 - q**7/168 - q**6/90 - q**5/120 - q**3 + 1. Let b(r) be the third derivative of i(r). Solve b(u) = 0 for u.
-1, -1/2, 0
Let x = -48 + 48. Determine d so that d**4 + x + 1/3*d**3 - 1/3*d - d**2 = 0.
-1, -1/3, 0, 1
Let t = -15 - -18. Let g(m) be the second derivative of -1/10*m**2 - 1/60*m**4 + t*m + 0 - 1/15*m**3. Determine y so that g(y) = 0.
-1
Let v be 81/36 - (-3)/(-12). Let p(x) be the first derivative of 1/2*x**v + 1/2*x - 4 + 1/6*x**3. Factor p(c).
(c + 1)**2/2
Factor -12*h + 3*h**2 + 0*h**2 + 4 + 8.
3*(h - 2)**2
Let n(q) be the third derivative of -1/24*q**4 + 1/105*q**7 - 1/30*q**5 + 0*q + 1/120*q**6 - 2*q**2 + 0*q**3 + 0. Factor n(p).
p*(p - 1)*(p + 1)*(2*p + 1)
Factor 4*q**4 + 40*q - 103 - 9*q**3 + 96*q**2 - 31*q**3 + 3.
4*(q - 5)**2*(q - 1)*(q + 1)
Let a(n) = 7*n**2 + 7*n - 14. Let b(h) = -64*h**2 - 64*h + 128. Let f(p) = 28*a(p) + 3*b(p). Factor f(g).
4*(g - 1)*(g + 2)
Let m(v) be the first derivative of -v**5/20 + v**4/4 - v**3/2 + v**2/2 - v + 2. Let k(a) be the first derivative of m(a). Solve k(s) = 0 for s.
1
Let v(b) = 11*b**2 - 35*b + 19. Let c(g) = 17*g**2 - 53*g + 28. Let q(x) = 5*c(x) - 8*v(x). Let q(l) = 0. Calculate l.
1, 4
Let d(l) = -1 - l + 2*l + 3 - 3*l**3. Let x(g) be the second derivative of 7*g**5/20 - g**3/3 - 5*g**2/2 + g. Let t(i) = 10*d(i) + 4*x(i). Factor t(j).
-2*j*(j - 1)*(j + 1)
Let t(h) be the second derivative of -2*h - 1/12*h**4 + 0 - 1/6*h**3 + 1/2*h**2 + 1/20*h**5. Factor t(c).
(c - 1)**2*(c + 1)
Let t(k) = k**2 - 6*k + 14. Let a be t(6). Find m, given that -15*m**4 + 8*m**2 - a*m**3 - 8*m**5 - 34*m**3 + 8*m**3 + 49*m**4 = 0.
0, 1/4, 2
Let z(a) be the third derivative of -2*a**2 + 0 + 0*a**3 - 1/120*a**6 - 1/105*a**7 + 0*a + 1/336*a**8 + 0*a**4 + 1/30*a**5. Find w such that z(w) = 0.
-1, 0, 1, 2
Let q(s) = -2*s**3 + 23*s**2 - 24*s + 5. Let d(z) = z**3 - 12*z**2 + 12*z - 2. Let h(o) = 11*d(o) + 6*q(o). What is m in h(m) = 0?
2
Let z be (7/(-147))/((-4)/14). Find a such that 1/2*a + z + 1/2*a**2 + 1/6*a**3 = 0.
-1
Let k(p) be the second derivative of 2*p - 1/90*p**6 - 1/9*p**3 + 0*p**5 + 0*p**2 + 1/12*p**4 + 0. Factor k(s).
-s*(s - 1)**2*(s + 2)/3
Let h(a) be the first derivative of -a**6/12 - a**5/10 + a**4/8 + a**3/6 - 2. Factor h(b).
-b**2*(b - 1)*(b + 1)**2/2
Suppose z - 6 = -3*h, 0 = z - 4*h + h - 18. Let v = -12 + z. Factor -6/7*t**3 - 6/7*t**4 - 2/7*t**2 + v - 2/7*t**5 + 0*t.
-2*t**2*(t + 1)**3/7
Let d = -21 - -64/3. Let a(v) be the second derivative of 1/30*v**5 + 0 + 2*v - 1/3*v**2 - 1/6*v**4 + d*v**3. Factor a(n).
2*(n - 1)**3/3
Let a = 459 - 161. Let p = 902/3 - a. What is m in 8/3*m**3 + 2/3*m**4 + 4*m**2 + p*m + 2/3 = 0?
-1
Let b(p) = -p**2 + 20 + 2*p**2 - 11 + 6*p. Let u(a) = -2*a**2 - 12*a - 18. Let g(o) = -10*b(o) - 6*u(o). Find x, given that g(x) = 0.
-3
Let q be 19/(-50) - 2/(-5). Let w(r) be the second derivative of 0 - 1/30*r**4 - r + 1/75*r**6 - 1/15*r**3 + 0*r**2 + q*r**5. Factor w(d).
2*d*(d - 1)*(d + 1)**2/5
Let g(d) be the first derivative of d**4/12 + 2*d**3/9 + d**2/6 + 5. Factor g(c).
c*(c + 1)**2/3
Suppose 8 = 4*r + 2*k, 4*k + 4 = 3*r - 2. Factor -4*x + x**r + x**2 + 35 - 35.
2*x*(x - 2)
Let s(x) be the second derivative of 5/24*x**4 + 0*x**3 - 1/42*x**7 + 1/8*x**6 - 1/4*x**5 + x + 0 - 1/8*x**2. Factor s(v).
-(v - 1)**4*(4*v + 1)/4
Suppose 4*z - 56 = -48. Let r(d) be the third derivative of 0*d**3 + 0 + 1/40*d**6 + 1/8*d**4 + 0*d + 2*d**z - 1/10*d**5. Find k, given that r(k) = 0.
0, 1
Suppose -g = g - y - 3, 2*g = -2*y + 6. Determine l, given that 6*l**2 + 4*l**4 + 4*l**3 - 4*l**5 - 12*l**g + 2*l**2 = 0.
-1, 0, 1
Suppose -22 = -3*h - 4*c, -c = 4*h - 14 - 11. Let q be ((-4)/(-3))/(4/h). Let 0 + 1/2*p**q - 1/4*p + 0*p**3 + 1/4*p**5 - 1/2*p**4 = 0. Calculate p.
-1, 0, 1
Let l(s) = -4*s**4 - 10*s**3 + 4*s + 4. Let k(o) = -5*o**4 - 11*o**3 + 4*o + 5. Let c(v) = 6*k(v) - 7*l(v). Determine i so that c(i) = 0.
-1, 1
Let a = 56 + -54. What is z in 2/9*z**4 + 0*z**a - 2/9*z**3 + 0 + 0*z = 0?
0, 1
Let x be (-12)/(-8)*(-4)/(-2). Solve -6/5 + 3/5*a**5 + 12/5*a**4 + 12/5*a**3 - x*a - 6/5*a**2 = 0 for a.
-2, -1, 1
Let v(k) = -k - 1. Let o(l) be the third derivative of -l**5/20 + l**3/6 + 4*l**2. Let u(b) = -3*o(b) - 3*v(b). Factor u(n).
3*n*(3*n + 1)
Let m(u) = u**3 - 5*u**2 + 5*u. Let g be m(4). Let a(s) = 4*s**2 - 20*s + 40. Let p(x) = -4*x**2 + 21*x - 39. Let n(b) = g*p(b) + 3*a(b). Factor n(f).
-4*(f - 3)**2
Suppose -g + 4*r + 15 = 0, r - 4 = -3*g + 2. Let n = 1 + g. Factor -9*o**n + 21*o + 0*o**2 - 15*o + 3*o**2 - 12*