+ 0*c**3 + 0 + 1/150*c**5 + 0*c**4 + 0*c. Suppose y(i) = 0. Calculate i.
0
Solve 14/9*i + 2/3 + 10/9*i**2 + 2/9*i**3 = 0 for i.
-3, -1
Let u(x) = 3*x**3 + 2*x**2 + 2*x + 1. Let i be u(-1). Let v = 4 + i. What is g in 0*g**2 + 5*g**2 - 2*g - 3*g**v = 0?
0, 1
Let l(t) = -t - 8. Let d be l(-10). Suppose 4*v**3 + 2*v**5 - 4*v**d - 4*v**3 + 4*v**4 + 0*v**4 - 2*v = 0. What is v?
-1, 0, 1
Let v(w) be the first derivative of -4/55*w**5 + 0*w**3 - 1/33*w**6 + 0*w**2 + 0*w - 7 - 1/22*w**4. Factor v(d).
-2*d**3*(d + 1)**2/11
Let q = -173/3 - -58. Determine g, given that 1/3*g**4 + 1/3*g - 1/3*g**3 - q*g**2 + 0 = 0.
-1, 0, 1
Suppose -4 = -5*t + 4*c, 3*c = -5*t - 0*t - 3. Factor k**3 + 0 - 3*k**4 - 7/4*k**5 + t*k + 0*k**2.
-k**3*(k + 2)*(7*k - 2)/4
Let s = 51 - 49. Let h(a) be the third derivative of 1/60*a**5 - 1/210*a**7 - 1/40*a**6 + 0*a + 0*a**3 + 1/12*a**4 + 0 + 1/336*a**8 - 3*a**s. Factor h(c).
c*(c - 2)*(c - 1)*(c + 1)**2
Suppose -5*p = 4*z - 8 - 77, 3*z - 61 = -p. Suppose a - 5*d - z = -3*a, -3*a - 3*d = -15. Factor 0*j + 2/5*j**3 + 0 + 2/5*j**2 - 2/5*j**4 - 2/5*j**a.
-2*j**2*(j - 1)*(j + 1)**2/5
Suppose a - i + 2 = 0, 0 = -5*i + 10. Suppose 0 - 1/5*d**4 + a*d - 4/5*d**2 - 4/5*d**3 = 0. Calculate d.
-2, 0
Let o(r) be the first derivative of -r**4/18 - 2*r**3/9 - r**2/3 - 2*r/9 + 2. Factor o(l).
-2*(l + 1)**3/9
Determine q so that 0 + 3/2*q**5 + 6*q**4 + 9/2*q**3 - 6*q**2 - 6*q = 0.
-2, -1, 0, 1
Let 44*x + 41*x - 40*x**4 + 5 + 10 + 150*x**2 + 60*x**3 = 0. What is x?
-1/2, 3
Let p(j) be the first derivative of -3/2*j**4 + 1 + 0*j + 3/2*j**2 - j**3. Factor p(g).
-3*g*(g + 1)*(2*g - 1)
Let a(p) be the first derivative of -p**4/36 - p - 3. Let v(r) be the first derivative of a(r). Determine i, given that v(i) = 0.
0
Let n(q) be the second derivative of -q**7/8820 - q**6/630 - q**5/140 + 2*q**4/3 + 2*q. Let f(b) be the third derivative of n(b). Let f(t) = 0. Calculate t.
-3, -1
Let h(c) be the third derivative of c**7/945 - c**6/540 - c**5/270 + c**4/108 - 27*c**2. Suppose h(u) = 0. What is u?
-1, 0, 1
Let v(t) be the third derivative of 0 + 0*t**3 - 7/20*t**5 + 2*t**2 + 0*t - 1/4*t**4. Factor v(d).
-3*d*(7*d + 2)
Let k be (52/(-10))/(1/(-50)). Let b be -3 - (k/(-36) - -2). Let -2/9 - 8/3*x**2 - 2/3*x**4 - b*x**3 - 4/3*x = 0. Calculate x.
-1, -1/3
Let m(a) be the first derivative of -a**4/12 + a**3/10 + a**2/5 + 2*a - 1. Let v(h) be the first derivative of m(h). Factor v(x).
-(x - 1)*(5*x + 2)/5
Suppose 3*t - h - 3*h - 29 = 0, -11 = -2*t + h. Let s(m) be the third derivative of 0*m - 1/12*m**t - 1/240*m**5 + 0 - m**2 + 1/32*m**4. Factor s(z).
-(z - 2)*(z - 1)/4
Let o = 52 + -935/18. Let m(k) be the first derivative of -2/27*k**3 - o*k**4 + 2/9*k + 1/9*k**2 - 2. Find s, given that m(s) = 0.
-1, 1
Suppose y = 6*y + 135. Let f = y + 27. What is v in -1/3*v + 1/3*v**3 + 0*v**2 + f = 0?
-1, 0, 1
Let t = 1036/45 - 114/5. Let d(a) be the first derivative of -3 + 1/3*a**2 + 0*a - t*a**3. Let d(g) = 0. What is g?
0, 1
Let g(z) be the second derivative of -2*z + 0 + 1/40*z**5 + 0*z**2 - 1/12*z**3 + 1/15*z**6 - 1/6*z**4. Factor g(r).
r*(r - 1)*(r + 1)*(4*r + 1)/2
Let g(y) be the first derivative of y**6/120 + y**5/15 + y**4/8 - 4*y**2 - 7. Let n(p) be the second derivative of g(p). Factor n(t).
t*(t + 1)*(t + 3)
Let p = -16 - -16. Let -q + 39 + 2*q**4 - q - 4*q**2 + 4*q**3 - 37 - 2*q**5 + p*q**3 = 0. What is q?
-1, 1
Let y(t) = 11*t**3 + 2*t**2 - 3*t + 3. Let f = 4 - 6. Let a(w) = 24*w**3 + 3*w**2 - w**2 - 14*w**3 - 2*w + 2. Let h(d) = f*y(d) + 3*a(d). Solve h(m) = 0.
-1/4, 0
Let a = -243 - -731/3. Factor 2/3*c**2 + 0 - a*c + 2/3*c**3 - 2/3*c**4.
-2*c*(c - 1)**2*(c + 1)/3
Let z(x) be the third derivative of 0 + 1/12*x**4 + 0*x + 1/3*x**3 - 1/60*x**6 - 1/30*x**5 + 6*x**2. Determine k, given that z(k) = 0.
-1, 1
Let z(x) be the first derivative of -x**7/756 - 2*x**6/405 - x**5/540 + x**4/54 + 8*x**3/3 + 5. Let n(h) be the third derivative of z(h). Factor n(o).
-2*(o + 1)**2*(5*o - 2)/9
Let q(h) be the first derivative of h**5/10 - h**4/3 - h**3/3 + 2*h**2 - h + 2. Let w(a) be the first derivative of q(a). Factor w(f).
2*(f - 2)*(f - 1)*(f + 1)
Let d(r) be the second derivative of -r**5/10 + r**4/6 - r - 47. Find o such that d(o) = 0.
0, 1
Let p(m) be the third derivative of 0*m**7 - 1/1344*m**8 + 2*m**2 - 1/32*m**4 + 1/12*m**3 + 1/120*m**6 + 0 + 0*m - 1/120*m**5. Factor p(q).
-(q - 1)**3*(q + 1)*(q + 2)/4
Let r(w) be the third derivative of w**6/40 + w**5/10 - w**4/8 - w**3 - 2*w**2. Let r(l) = 0. Calculate l.
-2, -1, 1
Let q(f) be the third derivative of -f**7/210 - f**6/120 + f**5/60 + f**4/24 + 10*f**2. Factor q(k).
-k*(k - 1)*(k + 1)**2
Factor 0 - 3/2*a - 3/4*a**2.
-3*a*(a + 2)/4
Let a be (4/12)/(2/30). Suppose -a*c = -4*c. Find s such that 0 + c*s - 2/5*s**2 + 1/5*s**3 + 1/5*s**4 = 0.
-2, 0, 1
Let p(d) be the first derivative of d**5/60 - d**4/36 - 2*d - 2. Let i(f) be the first derivative of p(f). Solve i(j) = 0 for j.
0, 1
Let b(w) be the third derivative of w**7/630 + w**6/360 - w**5/60 - 5*w**4/72 - w**3/9 + 16*w**2. Factor b(a).
(a - 2)*(a + 1)**3/3
Let j = 71 - 71. Suppose j - 4/13*d**2 - 2/13*d**5 + 2/13*d + 4/13*d**4 + 0*d**3 = 0. What is d?
-1, 0, 1
Let s(f) be the second derivative of f**7/10080 - f**6/1440 + f**5/480 - f**4/12 - f. Let z(q) be the third derivative of s(q). Factor z(t).
(t - 1)**2/4
Find a, given that -3*a**2 - 2*a**4 + 0*a**2 + a**2 + 4*a**2 = 0.
-1, 0, 1
Let z be ((-29)/(-10) - 3)/(6/(-4)). Let k(c) be the second derivative of 1/12*c**4 + 0*c**2 + 0 - c - z*c**3. Solve k(w) = 0 for w.
0, 2/5
Suppose 1 = -4*x - 3*w, -3*x - 2 - 1 = 3*w. Let k(s) be the second derivative of s**x + 0 - 1/10*s**5 + 1/3*s**3 + 2*s - 1/6*s**4. Solve k(c) = 0.
-1, 1
Let x(y) be the third derivative of -y**7/360 - y**6/360 - y**4/6 + 3*y**2. Let h(c) be the second derivative of x(c). Solve h(r) = 0.
-2/7, 0
Let l = 7 + -5. Factor 4*z**l + 7*z**3 + z**3 + 0*z**3.
4*z**2*(2*z + 1)
Let l = -11/5 + 12/5. Let f be 0/(20/4 + -4). Factor 0*q - l*q**5 + 0*q**2 + f*q**3 + 1/5*q**4 + 0.
-q**4*(q - 1)/5
Let g be (-6)/9*1 + 112. Let z = -110 + g. Let -3*v**3 + v**2 - z + 8/3*v = 0. Calculate v.
-1, 2/3
Let x(u) = 2*u**3 - 2*u**2 - 2*u. Let z = 11 - 7. Suppose -2*o = 2*r, -z*o + r - 6 = o. Let d(n) = -n**2. Let v(p) = o*x(p) + 2*d(p). Factor v(i).
-2*i*(i - 1)*(i + 1)
Let u(v) be the second derivative of -v**5/30 + v**3/3 - 7*v**2/2 + v. Let y(z) be the first derivative of u(z). Let y(k) = 0. What is k?
-1, 1
Suppose 0 = -z - 2*z + 12. Let g(j) be the third derivative of -1/15*j**3 + 0 + 0*j**z + 0*j + j**2 + 1/150*j**5. Factor g(f).
2*(f - 1)*(f + 1)/5
Suppose 0 = 5*z - 7*r + 2*r - 60, 0 = z - 3*r - 6. Let -o**2 - 10*o**2 - 4*o + z*o**2 = 0. Calculate o.
0, 1
Let l = 706 + -291. Let p = -2066/5 + l. Factor 6/5*b**2 - 9/5*b**4 + 3/5 + p*b - 6/5*b**3 - 3/5*b**5.
-3*(b - 1)*(b + 1)**4/5
Let y(w) be the second derivative of w**4/48 + 12*w. Solve y(j) = 0.
0
Factor 3/2*d**3 - 33/4*d**2 + 39/4*d - 3.
3*(d - 4)*(d - 1)*(2*d - 1)/4
Factor -4*s + 0 + 4/5*s**2.
4*s*(s - 5)/5
Let z(o) = 4*o**3 + 12*o**2 + 15*o + 1. Let t(m) = m - 1. Let k(u) = 3*t(u) - z(u). Factor k(s).
-4*(s + 1)**3
Let v(g) be the third derivative of 0 + 0*g + 1/3*g**3 - 3*g**2 - 1/18*g**4 + 1/270*g**5. Let v(b) = 0. What is b?
3
Let a(l) = -l**2 - 2*l - 2. Let k be a(-3). Let i be -15*k/((-45)/(-6)). Solve 6*d + i*d**5 + 6*d**4 - 6*d - 4*d**3 = 0 for d.
-1, 0, 2/5
Let q(f) be the first derivative of -2*f**5/45 + 2*f**3/27 + 5. Factor q(z).
-2*z**2*(z - 1)*(z + 1)/9
Let y be (-32)/(-7) - (-4)/(-1). Factor 2/7*p - y*p**2 + 2/7*p**3 + 0.
2*p*(p - 1)**2/7
Let x = -31 + 31. Let n(u) be the third derivative of 1/48*u**4 + 0*u**3 + 1/240*u**5 - 3*u**2 + x*u + 0. Let n(i) = 0. What is i?
-2, 0
Factor 5/2*d**3 + 0 - 9/4*d**2 + 1/2*d - 3/4*d**4.
-d*(d - 2)*(d - 1)*(3*d - 1)/4
Let g(o) be the third derivative of 0*o**3 + 0*o**4 - 1/180*o**5 + 0 + 0*o + 2/315*o**7 - 1/120*o**6 + 4*o**2. Determine s so that g(s) = 0.
-1/4, 0, 1
Let y(m) be the first derivative of 2*m**3/21 - 3*m**2/7 + 18. Factor y(i).
2*i*(i - 3)/7
Find q such that 0 - 4/3*q + 4/3*q**2 = 0.
0, 1
Suppose -117*l - 88*l**2 - 12 - 28*l**4 + 43*l - 72*l**3 + 22*l - 4*l**5 = 0. Calculate l.
-3, -1
Let v be -5 + 6 - 478/480. Let g(f) be the third derivative 