.
0, 1
Let s be (12/(-2))/3 + 7. Suppose -2*g + 6 = 3*v, s*v - 10 = 4*g - 0*g. Suppose 4/3*t**v + 2*t**3 + 0 + 2/3*t**4 + 0*t = 0. What is t?
-2, -1, 0
Let r(g) be the third derivative of -1/60*g**5 - 11*g**2 + 1/2*g**3 + 0*g + 0 - 1/12*g**4. What is v in r(v) = 0?
-3, 1
Solve -3*a + 7/2 - 1/2*a**2 = 0.
-7, 1
Let s = -2 + 4. Let t(x) be the third derivative of -1/60*x**5 + 0*x - 1/8*x**4 - 2*x**s - 1/3*x**3 + 0. Factor t(v).
-(v + 1)*(v + 2)
Suppose 4*t + 0*t = 0. Let l(f) be the third derivative of -2*f**2 + 0*f + 2/15*f**4 + 1/50*f**6 - 1/525*f**7 - 2/25*f**5 + 0 + t*f**3. Factor l(u).
-2*u*(u - 2)**3/5
Let d be (1/12)/((-8)/128*-6). Factor -2/9*m**4 + 0*m**2 - 4/9*m**3 + d + 4/9*m.
-2*(m - 1)*(m + 1)**3/9
Let x = 23/210 - -2/35. Let a(c) be the second derivative of -1/15*c**5 - 2/9*c**3 - x*c**4 - c + 0 - 1/90*c**6 - 1/6*c**2. Factor a(h).
-(h + 1)**4/3
Let u = 48 + -140/3. Factor -10/3*x**2 + 8/3*x - 2/3 + u*x**3.
2*(x - 1)**2*(2*x - 1)/3
Let u be (-1)/((1 - -1)/(-46)). Let o be u/9 - (10 - 11). Factor 8/9 - o*d - 10/9*d**3 + 34/9*d**2.
-2*(d - 2)*(d - 1)*(5*d - 2)/9
Let h be 3 + 9/(-3) + 3. Factor 4*p**5 - 2*p**5 - h*p**5.
-p**5
Let f(o) = 18*o**2 + 26*o + 8. Let u(v) = 2*v**2 + 3*v + 1. Let d(t) = 6*f(t) - 52*u(t). Suppose d(a) = 0. Calculate a.
-1, 1
Let p(d) be the third derivative of d**7/105 + d**6/60 - 5*d**2. What is k in p(k) = 0?
-1, 0
Let n = 50 + -338/7. Find t, given that -n*t**2 - 2/7 - 8/7*t - 2/7*t**4 - 8/7*t**3 = 0.
-1
Determine s so that -4*s**4 + 14*s**2 + 34*s + 2*s - 20*s**3 - 26*s**2 = 0.
-3, 0, 1
Factor 1/3*t - 1/3 - 1/3*t**3 + 1/3*t**2.
-(t - 1)**2*(t + 1)/3
Suppose 0 = 5*k - 11 + 1. Factor -u**3 + u + 1 - 1 - u**4 + u**k.
-u*(u - 1)*(u + 1)**2
What is o in -4/5*o**3 + 0 + 6/5*o**4 - 2/5*o**5 + 0*o**2 + 0*o = 0?
0, 1, 2
Let m = -3 - -6. Suppose -2*w + 20 = m*w. Find t such that -7*t**3 + 1/3*t - 13/3*t**2 + 2/3 - 3*t**w = 0.
-1, -2/3, 1/3
Determine s, given that 4/5*s**3 - 1/5 - 6/5*s**2 + 4/5*s - 1/5*s**4 = 0.
1
Let t(i) be the third derivative of 0*i**4 + 1/60*i**5 + 0 + 0*i**3 - 3*i**2 + 0*i. Let t(p) = 0. Calculate p.
0
Let d(k) = 15*k**3 + 55*k**2 + 47*k + 25. Let f(j) = 8*j**3 + 28*j**2 + 24*j + 12. Let z(n) = 4*d(n) - 9*f(n). Solve z(a) = 0 for a.
-1, -2/3
Let b be ((-6)/9)/(-6*(8 + 2)). Let u(y) be the second derivative of -1/18*y**3 + 0 + 1/60*y**5 + 0*y**2 - 2*y + b*y**6 - 1/36*y**4. Factor u(k).
k*(k - 1)*(k + 1)**2/3
Let y be (12/6)/(4/6). Factor -9*a**3 - 21*a + 26*a**2 + 2*a**4 - 3*a - y*a**3 + 8 + 0*a**3.
2*(a - 2)**2*(a - 1)**2
Let z(y) = -5*y**3 - 5*y**2 - 3*y - 3. Let c(q) = 21*q**3 + 19*q**2 + 11*q + 13. Let g(f) = 2*c(f) + 9*z(f). Factor g(b).
-(b + 1)**2*(3*b + 1)
Factor 0 + 0*b - 2/15*b**2.
-2*b**2/15
Let k = -393 + 395. Solve 4/5*a**k + 2/5*a**3 + 0*a + 0 = 0 for a.
-2, 0
Find d such that 2/3*d**5 + 1/3*d**2 + 4/3*d**3 + 5/3*d**4 + 0 + 0*d = 0.
-1, -1/2, 0
Let y = 2626/7 - 375. Suppose -1/7*c**2 - 1/7*c**5 + 0 + y*c**3 + 0*c + 1/7*c**4 = 0. What is c?
-1, 0, 1
Let x(f) be the first derivative of 1/12*f**3 + 0*f**2 - 1/4*f + 1. Suppose x(q) = 0. Calculate q.
-1, 1
Suppose 11*l - 46 - 9 = 0. Factor -1/2*v**l + v**2 + v**3 - 1/2*v**4 - 1/2*v - 1/2.
-(v - 1)**2*(v + 1)**3/2
Let j = 33 - 29. Let k(x) be the second derivative of -1/6*x**j + 3/40*x**5 + 1/12*x**3 - 3*x + 0 + 0*x**2. Factor k(z).
z*(z - 1)*(3*z - 1)/2
Let z = 1487/318 - 1/106. What is a in 4/3 - 10/3*a**4 + z*a**3 + 2*a**2 - 14/3*a = 0?
-1, 2/5, 1
Let q(b) be the third derivative of 3/4*b**6 + 5/56*b**7 + 2*b**3 + 9*b**2 + 0*b + 23/10*b**5 + 3*b**4 + 0. Find g such that q(g) = 0.
-2, -2/5
Suppose 4*i**2 + 17*i + 17*i - 34*i + 20*i = 0. What is i?
-5, 0
Let i(z) be the first derivative of 2 - 1/18*z**4 + 1/540*z**6 + 0*z + 1/3*z**3 + 0*z**2 + 1/180*z**5. Let v(o) be the third derivative of i(o). Factor v(c).
2*(c - 1)*(c + 2)/3
Let b(p) be the third derivative of 25*p**7/252 - 5*p**6/48 - 7*p**5/36 + p**4/12 + 2*p**3/9 + 5*p**2. Suppose b(j) = 0. What is j?
-2/5, 2/5, 1
Let x(i) be the second derivative of i**8/336 + i**7/210 + i**2/2 + 4*i. Let l(u) be the first derivative of x(u). Factor l(o).
o**4*(o + 1)
What is d in -7 + 0 - 4*d + 4*d**2 - 1 + 0*d = 0?
-1, 2
Let x(w) be the third derivative of w**9/60480 - w**8/12096 + w**7/7560 - w**5/60 - 2*w**2. Let s(g) be the third derivative of x(g). Find i such that s(i) = 0.
0, 2/3, 1
Let n(t) be the second derivative of 0 + 1/40*t**5 + 1/2*t**2 + 1/6*t**4 + 5/12*t**3 + 3*t. Factor n(m).
(m + 1)**2*(m + 2)/2
Suppose -5*a + 8 = -12. Let -2 - m**a + 2*m**2 - 3 + 4 = 0. What is m?
-1, 1
Let y(d) be the first derivative of -13/2*d**2 + 3 + 5/3*d**3 + 3*d. Let p(v) = -2*v**2 + 6*v - 1. Let r(t) = 7*p(t) + 3*y(t). Factor r(a).
(a + 1)*(a + 2)
Let o(v) be the third derivative of v**2 + 0*v + 0*v**3 + 1/504*v**8 + 0*v**5 + 1/315*v**7 + 0*v**6 + 0*v**4 + 0. Solve o(k) = 0 for k.
-1, 0
Let o be ((-4)/5)/(14/(-35)). Suppose 6*d = 4 + 2. What is k in -d + 1/2*k + 3/2*k**o = 0?
-1, 2/3
Suppose 2*i - 5*i = 2*y - 46, -3*i = -4*y - 16. Let d be 1 - 7/(112/i). Factor 0*a**3 + 0 - 1/2*a**4 - 1/4*a + 1/2*a**2 + d*a**5.
a*(a - 1)**3*(a + 1)/4
Let d(a) = -3*a**4 - 14*a**3 - 52*a**2 - 20*a + 7. Let p(l) = -l**4 - 5*l**3 - 17*l**2 - 7*l + 2. Let b(x) = 2*d(x) - 7*p(x). Factor b(m).
m*(m + 1)*(m + 3)**2
Let r be (-50)/(-3 - -1) + -1. Suppose -d = -5*d + r. Suppose 0*m**2 - 3*m**5 + 2*m**2 + 4*m - m - 8*m**2 + d*m**4 = 0. Calculate m.
-1, 0, 1
Suppose 2*r - 1 - 5 = 0. Let m(f) be the second derivative of -1/36*f**4 + 0 + 1/9*f**r - f - 1/6*f**2. Let m(x) = 0. What is x?
1
Let r(j) be the first derivative of -1/8*j**4 + 1/3*j**3 - j - 1 + 1/4*j**2. Factor r(n).
-(n - 2)*(n - 1)*(n + 1)/2
Let i(w) be the third derivative of -1/315*w**7 + 0 + 1/1008*w**8 - 1/72*w**4 + 0*w**3 + 1/90*w**5 - 7*w**2 + 0*w + 0*w**6. Let i(f) = 0. Calculate f.
-1, 0, 1
Let w be (-26)/(-6) + (-1)/3. Suppose -2*z + 5*z**2 - w*z**3 - 7*z**5 - 2*z**4 + z**3 + 12*z**3 - 3*z**4 = 0. What is z?
-1, 0, 2/7, 1
Suppose -9*s = -7*s. Let z(d) be the second derivative of 0*d**2 + 4*d + 0 + s*d**5 - 1/30*d**4 + 0*d**3 + 1/75*d**6. Factor z(g).
2*g**2*(g - 1)*(g + 1)/5
Let l(o) be the first derivative of o**3/3 + o**2 + o - 3. Find h such that l(h) = 0.
-1
Determine l so that -16*l**3 + 64*l**2 + 6*l**3 - 24 + 68*l - 18*l**3 = 0.
-1, 2/7, 3
Suppose 0 = 2*i + 5*c + 16, -2*i + 5*c = -21 - 3. Factor -2/9*w**3 + 0*w**i + 2/3*w + 4/9.
-2*(w - 2)*(w + 1)**2/9
Factor 1/2*j**2 - 1/2*j**3 - 1/2 + 1/2*j.
-(j - 1)**2*(j + 1)/2
Suppose p = 5*n - 0 - 70, -5*n = p + 50. Let w be p/(-35) + 4/14. Find i such that 16/7*i - 8/7 + 2*i**3 + 38/7*i**w = 0.
-2, -1, 2/7
Let b(r) be the third derivative of -r**7/105 + r**5/15 - r**3/3 - 6*r**2. Let b(g) = 0. Calculate g.
-1, 1
Suppose 2*d - 2*b = 6 + 4, 11 = -2*d - 5*b. Factor -24/5*u**3 + 4/5*u + 0 - 14/5*u**4 - 6/5*u**d.
-2*u*(u + 1)**2*(7*u - 2)/5
Let j = 5 + -7. Let z = 2 - j. Factor 2 - 47*v**4 - 736*v**3 - 33*v + 687*v**z + 312*v**2 - 25*v + 2.
2*(4*v - 1)**3*(5*v - 2)
Factor -5*f**4 - f**4 + 0*f**5 + 2*f**4 + 2*f**5 + 2*f**3.
2*f**3*(f - 1)**2
Let s(u) be the third derivative of -u**7/1050 - u**6/600 + u**5/50 + u**4/30 - 4*u**3/15 - 36*u**2. What is z in s(z) = 0?
-2, 1, 2
Let y(s) be the third derivative of -s**8/2688 + s**7/336 + s**6/192 - 5*s**5/96 - 5*s**4/24 - s**3/3 + 22*s**2. What is l in y(l) = 0?
-1, 4
Suppose a + 3*a**4 - 3*a**2 - 3*a - 2*a**4 = 0. What is a?
-1, 0, 2
Let h be 3 - (-100)/(-32) - (-17)/8. Let 3/2*t - 1/2*t**h - 1 = 0. What is t?
1, 2
Factor 38*l**2 - 30*l**2 - l**3 + 5*l**3.
4*l**2*(l + 2)
Let k(b) be the first derivative of -6*b**5/5 + b**4/2 + 10*b**3/3 - b**2 - 4*b - 1. Solve k(d) = 0 for d.
-1, -2/3, 1
Let t(n) be the third derivative of 2*n**7/105 + n**6/6 + n**5/15 - 7*n**4/2 - 12*n**3 - 21*n**2. Find m such that t(m) = 0.
-3, -1, 2
Let b = -107 + 107. Let x(w) be the second derivative of b*w**3 + 1/168*w**7 + 1/48*w**4 - 1/80*w**5 + 2*w + 0*w**2 + 0 - 1/120*w**6. Factor x(q).
q**2*(q - 1)**2*(q + 1)/4
Let j(m) be the second derivative of m**7/14 + m**6/5 - 3*m**5/20 - m**4/2 + 9*m. Factor j(p).
3*p**2*(p - 1)*(p + 1)*(p + 2)
Let f(i) be the third derivative of -i**5/30 - i**4/48 + 6*i**2. Factor f(d).
-d*(4*d + 1)/2
Let h(q) be the first derivative of -q**6/3 + 7*q**5/10 + q**4/4 -