- d**6/50 - d**5/50 - 2*d. Factor g(q).
-q**3*(q + 1)*(q + 2)/5
Let s = 22 + -41. Let i = -16 - s. Determine x, given that -1/2*x**4 - 1/2 + x**2 + 1/2*x**5 + 1/2*x - x**i = 0.
-1, 1
Suppose -6 = 4*q + x, 0 = x + 2. Let v be (-1)/(6/(-5) - q). Factor k**4 - k**2 + 0*k**4 + k - 3*k**3 + 2*k**v + 0*k**2.
k*(k - 1)*(k + 1)**2*(2*k - 1)
Factor 0 + 3/5*g**4 - 6/5*g**3 + 6/5*g - 3/5*g**2.
3*g*(g - 2)*(g - 1)*(g + 1)/5
Suppose 3*o - 5*v - 2 = 0, -3*o + 28 - 10 = 3*v. Factor -2/9*p**o + 0 - 4/9*p + 2/9*p**5 + 10/9*p**2 - 2/3*p**3.
2*p*(p - 1)**3*(p + 2)/9
Let i be (-4)/(-14) - (-111)/(-21). Let o = i - -8. Suppose 5*l**3 + 0*l**o - 4*l**3 = 0. Calculate l.
0
Let t(b) be the first derivative of 0*b + 3 + b**2 - 1/3*b**3. Factor t(z).
-z*(z - 2)
Let v(h) be the third derivative of h**6/40 - h**5/20 - h**4/4 - 4*h**2. What is t in v(t) = 0?
-1, 0, 2
Let q(a) = -2*a + 18. Let c be q(9). Let l(x) be the second derivative of 1/21*x**7 + c + 2/15*x**6 + x - 1/3*x**4 + 0*x**5 - 1/3*x**3 + 0*x**2. Factor l(z).
2*z*(z - 1)*(z + 1)**3
Let c(n) = -3*n**2 + 3*n. Let l(v) = 2*v**2 - 2*v. Suppose 0 = 7*o - 2*o + 25. Let f(d) = o*l(d) - 3*c(d). Solve f(h) = 0 for h.
0, 1
Suppose -9*f = 6*f - 90. Let s(h) be the second derivative of 3/50*h**5 + h + 1/75*h**f + 1/15*h**3 + 0*h**2 + 1/10*h**4 + 0. Factor s(c).
2*c*(c + 1)**3/5
Let f(u) = 54*u**4 + 102*u**3 + 69*u**2 + 3*u + 9. Let v(t) = -27*t**4 - 50*t**3 - 34*t**2 - t - 5. Let a(o) = -5*f(o) - 9*v(o). Factor a(q).
-3*q*(q + 1)**2*(9*q + 2)
Find v such that 80/3*v**2 + 4*v**3 + 52*v + 24 = 0.
-3, -2/3
Let g(m) be the first derivative of 2*m**5/15 + m**4/2 + 4*m**3/9 + 9. Factor g(t).
2*t**2*(t + 1)*(t + 2)/3
Let z be (-45)/(-9) + (-1 - -1). Suppose -z*b - 9 = -3*l - 2*b, 4 = 4*b. Solve m + 0 - 3/2*m**3 + 1/2*m**2 + 1/2*m**5 - 1/2*m**l = 0 for m.
-1, 0, 1, 2
Let k(c) be the third derivative of -c**9/5040 + c**8/560 - c**7/210 - c**4/8 + 2*c**2. Let j(s) be the second derivative of k(s). Find d such that j(d) = 0.
0, 2
Suppose -5*x + 10 = -0*x. Factor b**2 - 2 + b - x*b - 2*b - 2*b**2.
-(b + 1)*(b + 2)
Let c(o) = 3*o**2 + 2*o + 1. Let t be c(-1). Let g be (-2)/(-2) - 2/(-6). Factor 2/3*r + 0 + 2/3*r**t - g*r**3.
-2*r*(r - 1)*(2*r + 1)/3
Let c(w) be the third derivative of w**5/80 - w**4/32 - 8*w**2. Determine y, given that c(y) = 0.
0, 1
Let p(a) be the second derivative of a**6/30 - 3*a**5/20 + 6*a. Let p(i) = 0. What is i?
0, 3
Let i = 463 - 3232/7. Find o, given that 0*o**2 + i*o**4 - 6/7*o**3 + 0*o + 0 = 0.
0, 2/3
Suppose 2*b = 41 - 29. Let k(g) be the second derivative of -3/50*g**5 + 0*g**2 + 0 + 1/10*g**4 - 1/15*g**3 - g + 1/75*g**b. Find z such that k(z) = 0.
0, 1
Suppose 2*n = -8, 0 = 2*r + 4*n + 69 - 25. Let f be (8/r)/((-10)/35). Factor j**3 - j + 2*j**2 - f*j**3 + 0*j.
-j*(j - 1)**2
Let f(t) be the first derivative of -t**6/3 - 6*t**5/5 + t**4/2 + 14*t**3/3 - 8*t + 16. Let f(l) = 0. What is l?
-2, -1, 1
Factor 3*g - g**5 - 4*g**5 + 5*g**2 - 6*g**4 + g**2 + 2*g**5.
-3*g*(g - 1)*(g + 1)**3
Let t(i) be the third derivative of -i**7/12600 - i**6/1800 + i**4/8 - i**2. Let u(b) be the second derivative of t(b). Find h such that u(h) = 0.
-2, 0
Suppose 0 = -y + 3 + 1. Let a be y/(-22) - 56/(-66). Let b + 1/3 - b**4 - 2/3*b**3 + a*b**2 - 1/3*b**5 = 0. What is b?
-1, 1
Let h(x) be the second derivative of -6*x + 1/18*x**3 - 1/3*x**2 + 1/36*x**4 + 0. Find q such that h(q) = 0.
-2, 1
Let w(a) be the second derivative of -a**4/42 + 4*a**3/21 - 3*a**2/7 - 24*a. Find g, given that w(g) = 0.
1, 3
Let y be (-8)/(-28) - 12/(-7). Determine j, given that -j - 7*j**2 + j**2 + 10*j - j**2 - y = 0.
2/7, 1
Let i be -4 + ((-152)/(-60))/(3/5). Determine d, given that i*d**2 + 0 - 2/9*d**3 - 2/9*d**4 + 2/9*d**5 + 0*d = 0.
-1, 0, 1
Factor 77 + 62 + s**3 - 130 + 15*s + 7*s**2.
(s + 1)*(s + 3)**2
Determine u so that 0*u + 2/3*u**2 - 2/3 = 0.
-1, 1
Let q(g) be the first derivative of 2*g**5/5 + 5*g**4/2 + 6*g**3 + 7*g**2 + 4*g - 36. Factor q(i).
2*(i + 1)**3*(i + 2)
Let k(y) be the second derivative of 1/5*y**4 + 0 + 1/150*y**6 - 3/50*y**5 + 0*y**2 + 3*y - 4/15*y**3. Solve k(w) = 0 for w.
0, 2
Let -2*p**4 + 10648*p - 6442 - 22840 - 2359*p**2 + 907*p**2 + 88*p**3 = 0. What is p?
11
Determine p, given that -7/5*p**3 + p**4 - 4/5 - 1/5*p**5 + 8/5*p - 1/5*p**2 = 0.
-1, 1, 2
Let r(n) be the first derivative of -n**5/2 + 4*n**4/3 - n**3/3 - 2*n**2 - 4*n + 5. Let g(o) be the first derivative of r(o). Factor g(b).
-2*(b - 1)**2*(5*b + 2)
Let m(a) = a - a - 2*a + 1 + a. Let o = -3 + 4. Let r(i) = -3*i**2 - 14*i + 2. Let q(y) = o*r(y) - 6*m(y). Suppose q(x) = 0. What is x?
-2, -2/3
Let y be -2 + 4 + 2 + -3. Let l be y/(5/(-2) + 3). Solve -2*f**l - f + 3*f + 0*f**2 = 0.
0, 1
Let x = -2 + 2. Suppose x - 1 = -g. What is u in -u + 0*u - u - u**2 - g = 0?
-1
Factor 6*d**4 + 9*d**4 - 11*d**3 + 2*d**3 + 3*d**2 - 9*d**2.
3*d**2*(d - 1)*(5*d + 2)
Solve -5*c**4 - 22 + 22 + c**2 + c**3 + 3*c**5 + 0*c**3 = 0 for c.
-1/3, 0, 1
Let a be (-1)/4 - (-1)/4. Let k = -103 - -413/4. Find x such that 1/4*x**2 + a - 1/4*x - 1/4*x**4 + k*x**3 = 0.
-1, 0, 1
Let m(v) be the second derivative of -5*v**4/48 - v**3/3 + v**2/2 + 6*v. Suppose m(s) = 0. What is s?
-2, 2/5
Let t(w) = 6*w - 1. Let d be t(1). Find u, given that d*u - 3*u - 3*u - 3*u - 10*u**2 = 0.
-2/5, 0
Let r be 2*(-9)/12*-2. Let q(b) = b**5 + b**2 - 1. Let o(c) = -c**3 - 5*c**3 - 3*c**3 - 9*c**4 - 3. Let n(a) = r*q(a) - o(a). Suppose n(f) = 0. Calculate f.
-1, 0
Let m = 24/79 - -38/395. Solve m*r**4 + 0*r**3 - 1/5*r + 0 + 1/5*r**5 - 2/5*r**2 = 0.
-1, 0, 1
Suppose 0 = -3*l + 1 + 8. Determine n, given that 0*n**l - 3*n**3 - 3*n**3 + n + 5*n**3 = 0.
-1, 0, 1
Let u(c) = c**2 - 10*c + 11. Let r be u(9). Let j be ((12 - 2)/r)/1. Find f, given that 3*f**2 + 0*f**3 - 2*f**3 - 3*f**4 + j*f**3 - 3*f = 0.
-1, 0, 1
Let d(b) be the second derivative of 0 - 1/6*b**2 - 1/90*b**6 + 1/18*b**3 + 1/126*b**7 - 1/30*b**5 + 1/18*b**4 + b. Factor d(f).
(f - 1)**3*(f + 1)**2/3
Let l(b) = -b**3 + 4*b**2 + 14*b - 9. Let k be l(6). Determine o, given that -2/3*o**2 - 2/9*o - 2/9*o**4 + 0 - 2/3*o**k = 0.
-1, 0
Let z(k) = -k**3 - 6*k**2 - 7*k - 5. Let y be z(-5). Suppose 2*q + 6 = y*q. Determine i so that 0 + 0*i**q - 1/4*i + 1/4*i**3 = 0.
-1, 0, 1
Factor 7*z + 4*z**2 - z + 4 - 2*z**2.
2*(z + 1)*(z + 2)
Let u(h) be the second derivative of h**8/2240 - h**7/140 + 3*h**6/80 + h**4/2 - 4*h. Let q(k) be the third derivative of u(k). Factor q(t).
3*t*(t - 3)**2
Let s(z) be the second derivative of 8/9*z**3 - 4/3*z**2 + 0 - 6*z + 1/30*z**5 - 5/18*z**4. Determine r so that s(r) = 0.
1, 2
Let i(j) be the second derivative of -1/189*j**7 + 0*j**3 + 0 + 0*j**4 + 8*j + 0*j**2 + 1/90*j**5 + 0*j**6. Find w such that i(w) = 0.
-1, 0, 1
Let d = 129/266 - -2/133. Let y(a) be the first derivative of d*a**4 + 3 - 4*a**3 - 16*a + 12*a**2. Factor y(k).
2*(k - 2)**3
Let t = -2 - -6. Find g, given that -t*g**2 + 4*g**2 + 3*g**5 + 2*g - 6*g**3 + g = 0.
-1, 0, 1
Suppose 2*a - 1 = 7. Suppose b + 7 = -7*m + 3*m, -2*b - 2*m = -4. Factor -2*h**3 + 2*h**4 + a*h**5 + 3*h**5 - 5*h**b - 2*h**2.
2*h**2*(h - 1)*(h + 1)**2
Let c(y) be the first derivative of -4 + 0*y - 3/2*y**2 - 3/4*y**4 - 2*y**3. Factor c(a).
-3*a*(a + 1)**2
Let -27/5*z**2 + 489/5*z**3 - 48/5 - 45*z**4 + 27/5*z**5 - 216/5*z = 0. What is z?
-1/3, 1, 4
Let m(n) be the second derivative of n**5/60 - 5*n**4/72 + n**3/9 - n**2/12 - 3*n. Find k, given that m(k) = 0.
1/2, 1
Factor 65 + 24*k**4 + 4*k**5 + 48*k**3 - 65 + 11*k**2 + 21*k**2.
4*k**2*(k + 2)**3
Let m be -4*2/(-8)*5. Suppose -9*f**3 - 4*f**2 + 10*f**3 + m*f**2 = 0. Calculate f.
-1, 0
Let t(j) = 7*j**3 - j**2 - 2*j. Let k(q) = -q**3. Let a(d) = 30*k(d) + 5*t(d). Factor a(m).
5*m*(m - 2)*(m + 1)
Suppose 0 = -n + 4*a + 4 - 3, -2*n - 3*a + 13 = 0. What is m in -12*m**2 - 4 - 36*m**4 + 10*m**5 - 6*m - 18*m**4 + 8*m**n + 52*m**3 + 6 = 0?
-1/3, 1/3, 1
Let 144/5 - 56/5*f**3 + 4/5*f**4 + 244/5*f**2 - 336/5*f = 0. Calculate f.
1, 6
Suppose 2*g - 2 + 0 = 4*i, 2 = -2*i + 2*g. Find c such that -2/3*c**3 + 0*c**2 + 4/3*c**4 + i + 0*c - 2/3*c**5 = 0.
0, 1
Let s(x) be the second derivative of x**4/3 - 10*x**3/3 + x + 32. Factor s(p).
4*p*(p - 5)
Let r(k) be the third derivative of -1/105*k**7 + 3*k**2 - 1/20*k**6 + 0*k - 1/12*k**4 - 1/10*k**5 + 0 + 0*k**3. Determin