
Let s(d) be the first derivative of -1/15*d**5 - 2 + 1/12*d**4 + 0*d - 1/6*d**2 + 1/9*d**3. Solve s(m) = 0.
-1, 0, 1
Suppose 0 = 5*l + 6 - 76. Factor 21*z + 15*z**3 + 35*z + l*z**4 - 16 - 61*z**3 + 12*z**2.
2*(z - 2)**2*(z + 1)*(7*z - 2)
Let w(s) be the third derivative of -s**6/180 + s**4/12 + s**3/6 - 2*s**2. Let c(i) be the first derivative of w(i). Suppose c(u) = 0. What is u?
-1, 1
Suppose 3*y = -j + 11, -3*j = -6*y + 3*y - 9. Factor 0 - 9/5*x - 12/5*x**y + 2/5*x**3 + 4/5*x**4 - 1/5*x**5.
-x*(x - 3)**2*(x + 1)**2/5
Let x(f) be the third derivative of f**9/362880 - f**8/40320 + f**7/10080 - f**6/4320 + f**5/20 + f**2. Let n(b) be the third derivative of x(b). Factor n(o).
(o - 1)**3/6
Let z(d) be the second derivative of -d**5/80 + d**4/24 - d**3/24 - 3*d. Solve z(l) = 0.
0, 1
Factor 9*t + 0*t**2 - 7*t + t**3 - 3*t**2.
t*(t - 2)*(t - 1)
Let c(p) be the third derivative of -p**6/480 - p**5/240 + p**4/96 + p**3/24 - 17*p**2. Find t, given that c(t) = 0.
-1, 1
Suppose -2 = -2*g + 3*f, 7*g - 3*g = f + 14. Factor 0 + 0*z + 2/11*z**3 + 0*z**2 - 2/11*z**g.
-2*z**3*(z - 1)/11
Factor -4*b**3 + 16*b**4 - 22*b**2 - 20*b + 6*b**2 + 24*b.
4*b*(b - 1)*(b + 1)*(4*b - 1)
Factor -2/5*y**3 + 2/5*y + 0*y**2 + 0.
-2*y*(y - 1)*(y + 1)/5
Factor -6*a**3 + 3/2*a**4 + 15/2*a**2 - 3*a + 0.
3*a*(a - 2)*(a - 1)**2/2
Let f be (52 - 54)*(-1 - 1/(-3)). Determine d, given that -f*d**2 + 0 + 0*d - 2/3*d**3 = 0.
-2, 0
Let m(o) = -o**3 + o**2 + o + 2. Let s be m(2). Let a(r) = r**3 - 9*r**2 - 6*r - 35. Let k be a(10). Factor s*q**4 + 0*q**3 + 0*q + 1/2*q**k + 0*q**2 + 0.
q**5/2
Let b(o) be the first derivative of 2*o + 2*o**4 + 2/5*o**5 + 4*o**3 + 4*o**2 + 1. Determine c so that b(c) = 0.
-1
Let g(f) be the first derivative of 2*f**3/9 - 20*f**2/3 + 200*f/3 - 14. Factor g(n).
2*(n - 10)**2/3
Let y be (-4)/(-8) + 1 - (-9)/(-6). Solve 2/3*i**3 - 2/3*i + 0*i**2 + y = 0 for i.
-1, 0, 1
Let a be ((-1)/3)/((-1)/3). Suppose 0*k = -f - 5*k + a, -2*f + 2 = -k. Factor i**4 + f + i + i**3 + i**5 + 3*i**2 - 5*i**2 - 3*i**3.
(i - 1)**2*(i + 1)**3
Factor 0 - 1/3*z**3 - z**2 + 0*z.
-z**2*(z + 3)/3
Let u(g) be the second derivative of -g**4/30 - g**3/15 + 2*g**2/5 - 12*g. Factor u(d).
-2*(d - 1)*(d + 2)/5
Let p(i) be the second derivative of -i**6/60 + i**4/12 + i**2/2 + i. Let j(v) be the first derivative of p(v). Suppose j(r) = 0. What is r?
-1, 0, 1
Let v(f) be the third derivative of -f**9/70560 + f**8/17640 + f**7/4410 - 7*f**5/60 + 6*f**2. Let n(g) be the third derivative of v(g). Factor n(h).
-2*h*(h - 2)*(3*h + 2)/7
Let t(v) be the second derivative of 1/70*v**5 + 4*v - 1/21*v**4 + 0*v**2 + 4/105*v**6 + 0*v**3 + 0 - 1/49*v**7. Suppose t(z) = 0. Calculate z.
-2/3, 0, 1
Let q(z) be the second derivative of z**5/180 + z**4/54 - z**3/54 - z**2/9 + 15*z. Let q(d) = 0. What is d?
-2, -1, 1
Let i be 2/(-3) - 22/(-6). Suppose f + 1 - i = 0. Solve -f*q**4 + 4*q**4 - 6*q**2 + 4*q**2 = 0 for q.
-1, 0, 1
Let c be (-1 - 21/(-4))*10. Let z = c + -42. Factor 0 - 1/3*m**3 + 0*m**2 + 0*m - 1/6*m**4 + z*m**5.
m**3*(m - 1)*(3*m + 2)/6
Suppose 3*f - 7 + 1 = -3*r, -r = 4. Suppose 6 + f = 4*a. Find t such that 4*t - 2*t - a*t + t**2 = 0.
0, 1
Suppose 3*x - 52 = -37. Let -2/5*m**x + 2/5*m**2 - 2/5*m**4 + 0 + 6/5*m**3 - 4/5*m = 0. Calculate m.
-2, -1, 0, 1
Let c(l) = l - 1. Let s be c(6). Let m(n) = -3*n**3 - 4*n**2 - 3*n. Let d(x) = x**3 + 2*x**2 + x. Let j(y) = s*d(y) + 2*m(y). Factor j(u).
-u*(u - 1)**2
Let q(u) be the first derivative of u**6/21 + 2*u**5/35 - u**4/7 - 4. Suppose q(r) = 0. What is r?
-2, 0, 1
Let l(z) be the third derivative of 0*z + 7/600*z**6 + 4/525*z**7 + 5*z**2 + 0 + 0*z**4 + 1/560*z**8 + 0*z**3 + 1/150*z**5. Find a, given that l(a) = 0.
-1, -2/3, 0
Let y(d) be the first derivative of d**3/21 - d**2/2 + 6*d/7 + 19. Suppose y(t) = 0. What is t?
1, 6
Let t(v) = 5*v**3 - 45*v**2 + 71*v + 32. Let o(n) = 5*n**3 - 44*n**2 + 70*n + 32. Let m(a) = 7*o(a) - 6*t(a). Let m(k) = 0. What is k?
-2/5, 4
Factor -16/15*j - 2/15*j**2 - 32/15.
-2*(j + 4)**2/15
Let x = 5 + -1. Let j = x + -2. Factor 0 - 1/3*f**3 + 1/3*f - 1/3*f**j + 1/3*f**4.
f*(f - 1)**2*(f + 1)/3
Factor 2/7*l**2 - 2/7*l**4 - 2/7*l**3 + 2/7*l + 0.
-2*l*(l - 1)*(l + 1)**2/7
Let a be 0*-1*5/(-10). Let h(m) be the first derivative of -2 + 3/20*m**5 - 1/8*m**4 + a*m**3 + 0*m + 5/6*m**6 + 0*m**2. Factor h(o).
o**3*(4*o - 1)*(5*o + 2)/4
Let l(k) be the second derivative of k**6/420 + k**5/70 + k**4/28 + k**3/21 + 3*k**2/2 + 3*k. Let g(b) be the first derivative of l(b). Factor g(u).
2*(u + 1)**3/7
Let i(y) = -45*y**3 + 480*y**2 - 3815*y + 10215. Let g(d) = 11*d**3 - 120*d**2 + 954*d - 2554. Let f(x) = 25*g(x) + 6*i(x). Factor f(s).
5*(s - 8)**3
Factor 0 - 2/15*d**2 + 2/5*d.
-2*d*(d - 3)/15
Suppose l = 5*l - 16. Let r be (2/4)/(1/l). Factor -2*j**r + 3*j**3 - 5*j**3 + 4*j**3.
2*j**2*(j - 1)
Let a = -6 + 8. Suppose 0 = -2*x + x + a. Let -5*k**3 + 2*k**5 + 3*k**4 + 3*k**3 + k**x + 0*k**3 - 4*k**4 = 0. Calculate k.
-1, 0, 1/2, 1
Let b(y) be the third derivative of -y**2 + 1/360*y**6 + 0*y**7 + 0*y**3 + 0*y**4 + 0 + 0*y - 1/1008*y**8 + 0*y**5. Solve b(s) = 0 for s.
-1, 0, 1
Let u = 124 + -84. Let z be 3 - (-52)/u*-2. Determine t, given that 1/5*t**2 + 1/5*t - z = 0.
-2, 1
Let b(g) be the third derivative of 2*g**7/105 + g**6/10 - g**5/5 - 7*g**4/6 + 4*g**3 - 15*g**2. Let b(o) = 0. Calculate o.
-3, -2, 1
Determine b so that 0*b**2 + 4*b**3 + 0 - 4*b**2 + 0 = 0.
0, 1
Let z = 154 + -152. Let k(u) be the third derivative of -1/42*u**7 + 0*u**4 - u**z + 0 + 0*u + 0*u**5 + 0*u**3 - 1/60*u**6. Suppose k(q) = 0. Calculate q.
-2/5, 0
Let t(m) be the second derivative of m**5/60 + m**4/8 + 3*m**2/2 + 3*m. Let u(l) be the first derivative of t(l). Factor u(z).
z*(z + 3)
Find j such that -2*j**3 + 0 + 46/3*j**2 + 16/3*j = 0.
-1/3, 0, 8
Let a = 10858/143 - 588/143. Let s = 72 - a. Factor 0 + 4/11*c - s*c**2.
-2*c*(c - 2)/11
Let b(q) be the first derivative of -q**4/6 - 5*q**3/9 - 2*q**2/3 - q/3 + 12. Factor b(z).
-(z + 1)**2*(2*z + 1)/3
Suppose -96*v**5 - 8*v**4 + v**3 + 92*v**5 - v**3 + 8*v**2 + 4*v**3 = 0. What is v?
-2, -1, 0, 1
Let f be 6*(3 + 0) + 1. Suppose -3*o + 0*o - f = -5*a, 1 = -a + 3*o. Factor -z**5 - 2*z**a - z**4 + 4*z**5 + 2*z**4.
z**4*(z + 1)
Let r be 3 + 0 + -2 - -2. Let i(k) = -k**3 + 9*k**2 + 10*k + 2. Let c be i(10). Factor h**4 - 2*h**5 + h**5 - r*h**3 + h**2 + c*h**4 + 0*h**3.
-h**2*(h - 1)**3
Suppose -2 = -2*a + a. Let f be ((-2)/(-20))/(2/28). Factor 2/5 + f*g + g**a.
(g + 1)*(5*g + 2)/5
Let l(y) be the third derivative of -y**8/336 - y**7/315 + y**6/60 + y**5/45 - y**4/24 - y**3/9 - 7*y**2. What is q in l(q) = 0?
-1, -2/3, 1
Let y(o) = -o**2 + 5*o + 8. Let m be y(6). Determine s so that -m*s**2 - 6*s**3 - 3*s + 2*s + s - 6*s**4 - 2*s**5 = 0.
-1, 0
Let b(j) = 2*j + 3. Let k be b(-2). Let f be (2 + 0)*(-2)/k. Solve -a - f*a**2 - 3*a**2 + 4*a**2 + 2*a**2 = 0 for a.
-1, 0
Let j(r) be the second derivative of -9*r**5/40 - 7*r**4/16 + 3*r**2/8 + 18*r. Determine m, given that j(m) = 0.
-1, -1/2, 1/3
Let d(c) be the first derivative of -3*c**5/5 + 9*c**4 - 46*c**3 + 90*c**2 - 75*c - 6. Suppose d(t) = 0. Calculate t.
1, 5
Let s(c) be the second derivative of c**4/96 - c**3/48 - 3*c. Factor s(f).
f*(f - 1)/8
Let q = 6 - 9. Let a = q - -9. Factor a*u**3 - 6*u**2 + 0*u**4 - 2*u**4 + 0*u**4 + 6*u - 4*u.
-2*u*(u - 1)**3
Factor -10*z + 4*z**2 - 10*z + 2 - 2*z**2 + 16*z.
2*(z - 1)**2
Let m be (-8)/(-52) + (20/(-26))/5. Solve -2/7*g - 2/7*g**4 + m + 2/7*g**3 + 2/7*g**2 = 0.
-1, 0, 1
Let i(s) be the first derivative of 1 - 4/25*s**5 + 1/15*s**6 - 1/5*s**2 + 0*s + 0*s**4 + 4/15*s**3. What is m in i(m) = 0?
-1, 0, 1
Let s(j) be the third derivative of 0*j - 1/3*j**3 - 4/15*j**5 + 7/120*j**6 + j**2 + 11/24*j**4 + 0. Factor s(x).
(x - 1)**2*(7*x - 2)
Suppose 607*a - 618*a = 0. Let a*o - 1/3*o**4 - 1/3*o**5 + 0*o**3 + 0 + 0*o**2 = 0. Calculate o.
-1, 0
Solve -4*k**2 + 8/5*k - 28/5*k**3 + 0 = 0 for k.
-1, 0, 2/7
Let z be 2/(-3) + (-32)/(-48). Let w(r) be the third derivative of z*r**4 + 0*r**5 + 0*r**3 - 1/105*r**7 + 0 - r**2 - 1/30*r**6 + 0*r. Factor w(u).
-2*u**3*(u + 2)
Let a(l) be the second derivative of -l**6/60 + l**4/8 - l**3/6 - 8*l. Factor a(c).
-c*(c - 1)**2*(c + 2)/2
Let m be 2/(-3) + (-16)/(-6). Solve -2*z - 4*z**2 + 0*z**m - 3*z**2 + 