tor q(t).
3*t**2*(t - 2)*(4*t - 1)**2/2
Let r(k) = -k**2 - 8*k - 7. Let a be r(-6). Let l(g) be the third derivative of 0 + 2*g**2 + 1/420*g**6 - 2/105*g**a - 2/21*g**3 + 0*g + 5/84*g**4. Factor l(c).
2*(c - 2)*(c - 1)**2/7
What is n in 0 + 0*n**4 + 0*n + n**2 + 1/2*n**5 - 3/2*n**3 = 0?
-2, 0, 1
Factor 6*j**3 + 3/4*j**5 - 9/2*j**4 + 24 - 36*j + 12*j**2.
3*(j - 2)**4*(j + 2)/4
Let b be (-42)/(-36)*1*(-4)/(-7). Let -b*m**3 + 0*m + 0 + 0*m**2 = 0. Calculate m.
0
Suppose 3*y - 22 = -139. Let b be y/(-60) + 3/(-12). Factor -b*k**2 + 2/5*k**3 - 2/5*k + 2/5.
2*(k - 1)**2*(k + 1)/5
Let c(l) be the third derivative of -l**7/945 - l**6/540 + l**5/90 + 5*l**4/108 + 2*l**3/27 - l**2. Factor c(b).
-2*(b - 2)*(b + 1)**3/9
Let a(o) be the first derivative of -o**5/5 - 3*o**4/2 - o**3/3 + 12*o**2 - 16*o - 29. Factor a(b).
-(b - 1)**2*(b + 4)**2
Let o(d) be the third derivative of -d**5/15 + 3*d**4/4 - 4*d**3/3 + 11*d**2. Suppose o(t) = 0. What is t?
1/2, 4
Let h(i) = -i**3 + i**2 + 2. Let j(t) = t. Let m be j(0). Let x be h(m). Factor -3*d + d + x*d**3 + d**2 - 2*d**4 + 0*d**3 + d**2.
-2*d*(d - 1)**2*(d + 1)
Let y(w) be the first derivative of 50*w**6/3 + 60*w**5 + 46*w**4 - 16*w**3 - 16*w**2 + 13. Solve y(n) = 0.
-2, -1, -2/5, 0, 2/5
Let p(a) = 2*a**2 - 2*a - 2. Let t be p(2). Let r(z) be the first derivative of 4/21*z**3 + 0*z + t - 1/14*z**4 - 1/7*z**2. Factor r(v).
-2*v*(v - 1)**2/7
Let p(b) = -b**2 + 9*b - 7. Let y be p(7). Find z such that 8*z - y*z - z**3 - z**2 - z**2 + 2*z**3 = 0.
0, 1
Let z(s) be the third derivative of s**7/70 + 7*s**6/40 + 3*s**5/4 + 13*s**4/8 + 2*s**3 + s**2. Solve z(o) = 0 for o.
-4, -1
Let f = 3 - -3. Suppose 5*v - f - 4 = 0. Factor 4/5*b**3 + 2/5*b**4 + 0*b**v - 4/5*b - 2/5.
2*(b - 1)*(b + 1)**3/5
Let a(w) = 13*w**2 - 37*w + 29. Let g(l) = -6*l**2 + 18*l - 14. Let j(s) = 2*a(s) + 5*g(s). Suppose j(z) = 0. What is z?
1, 3
Let n be 84/8*2/3. Let d(u) be the third derivative of 0*u + 2*u**2 + 0*u**5 + 0*u**3 - 1/480*u**6 - 1/840*u**n + 0 + 0*u**4. Factor d(v).
-v**3*(v + 1)/4
Suppose 3*k = 6*k - v - 12, 3*k - 4*v - 21 = 0. Let f = 5 - k. Factor -2*w**f - w**3 - w**2 + 4*w**2.
-w**2*(w - 1)
Let w(h) be the third derivative of h**5/15 + h**4 + 6*h**3 + 8*h**2. Determine x, given that w(x) = 0.
-3
Let w(h) be the second derivative of -h**6/6 + 5*h**4/12 + 25*h. Factor w(b).
-5*b**2*(b - 1)*(b + 1)
Suppose -3*r = r. Suppose r = -0*x - 2*x + 8. Factor -8*w**2 + 1/2*w**5 - 3*w**x + 9/2*w + 7*w**3 - 1.
(w - 2)*(w - 1)**4/2
Let l(t) = t**3 + 10*t**2 + 9*t + 5. Let d be l(-9). Let a(z) = -25*z**2 + 23*z - 8. Let x(k) = -13*k**2 + 11*k - 4. Let b(h) = d*x(h) - 3*a(h). Factor b(o).
2*(o - 1)*(5*o - 2)
Let o(v) = v**3 + 3*v**2 + v. Let y be o(-2). Let d(b) = 7*b - y + 14*b**2 - 7*b**2 - 3. Let k(p) = 4*p**2 + 4*p - 3. Let j(m) = -3*d(m) + 5*k(m). Factor j(g).
-g*(g + 1)
Let w(y) be the second derivative of -y**6/120 - y**5/30 - y**4/24 + y**2 + 2*y. Let s(b) be the first derivative of w(b). Factor s(c).
-c*(c + 1)**2
Suppose -10 = -2*w - 3*y, -16 = -4*w - 3*y - y. Let f(d) be the second derivative of 0 - 1/27*d**3 - 2/9*d**2 - w*d + 1/54*d**4. Solve f(g) = 0 for g.
-1, 2
Suppose -4*o - 73 + 9 = 0. Let p = o - -50/3. Factor -2/3*z**4 + 0*z**3 + 0 + p*z**2 + 0*z.
-2*z**2*(z - 1)*(z + 1)/3
Let a(v) = -16*v**2 + v. Let c be a(1). Let l = 18 + c. Determine s, given that 0 - 1/2*s**l - 1/4*s**4 - 1/4*s**2 + 0*s = 0.
-1, 0
Suppose 60*s**5 + 272/5*s**2 + 72/5 + 348/5*s - 88*s**4 - 552/5*s**3 = 0. Calculate s.
-3/5, -1/3, 1, 2
Let q(a) be the third derivative of -a**6/120 - a**5/12 - 7*a**4/24 - a**3/2 - 16*a**2. Find w such that q(w) = 0.
-3, -1
Let i = -149 - -151. Suppose 0 + 1/2*c**i + 0*c - 1/2*c**3 - 7/8*c**4 - 1/4*c**5 = 0. What is c?
-2, 0, 1/2
Suppose 3*z - 6 - 3 = 0. Factor 2*s - 2*s + 8*s - z*s**3 + s + 6.
-3*(s - 2)*(s + 1)**2
Let c(m) be the third derivative of -m**5/24 + 5*m**4/12 - 5*m**3/3 - 27*m**2. Suppose c(l) = 0. What is l?
2
Let c(t) be the first derivative of -t**5/5 - 10. Factor c(n).
-n**4
Let u(h) be the second derivative of 3*h**7/70 + 7*h**6/50 - 9*h**5/50 - 3*h**4/5 + 4*h**3/5 + 6*h. Determine y so that u(y) = 0.
-2, 0, 2/3, 1
Let i(z) be the second derivative of -z**4/60 + z**3/30 + z**2/5 + 3*z. Find v such that i(v) = 0.
-1, 2
Suppose 25 = -2*n + 35. Let g(t) be the second derivative of -4/9*t**2 - 4*t + 0*t**3 + 1/18*t**4 + 0 - 1/90*t**n. Find i such that g(i) = 0.
-1, 2
Let r = -2 + 4. Factor 3*i**3 - 3*i**2 + 0*i**r + 3 - 4*i + i.
3*(i - 1)**2*(i + 1)
Factor 0 - 2/13*g**2 + 0*g - 2/13*g**3.
-2*g**2*(g + 1)/13
Let q(i) be the second derivative of -i**4/12 - i**3/3 - i**2/2 + 4*i. Factor q(w).
-(w + 1)**2
Suppose -20*d - 34 = -37*d. Factor 0*o**d + 0 + 0*o - 3/2*o**3.
-3*o**3/2
Let o(l) = -2*l**3 + 4 - 3 - 7*l**5 - 2*l + 2*l**2 - 3. Let h(a) = -14*a**5 - a**4 - 5*a**3 + 5*a**2 - 5*a - 5. Let x(p) = -2*h(p) + 5*o(p). Factor x(w).
-w**4*(7*w - 2)
Suppose 10 = -u - 5*x + 3*x, 4*x + 20 = -u. Suppose u*p - 3*p + 6 = 0. Factor 2*y**3 - p*y + 4 - 5 - 1 + 2*y**2.
2*(y - 1)*(y + 1)**2
Let t(x) = 3*x**3 + 21*x**2 + 44*x + 36. Let g(f) = 6*f**3 + 42*f**2 + 87*f + 72. Let r(a) = 4*g(a) - 9*t(a). Factor r(j).
-3*(j + 2)**2*(j + 3)
Suppose 0 = 4*k - k - 18. Factor 43*v + 12*v**2 - 34*v - 24*v + 9*v**3 - k.
3*(v - 1)*(v + 2)*(3*v + 1)
Let f(q) = q**3 - 10*q**2 + 10*q - 7. Let k be f(9). Suppose -s**k + 3*s**2 - 2*s**3 + s**5 - s**4 + s**3 - s**2 = 0. What is s?
-1, 0, 1
What is i in 1/3 + 1/6*i - 1/6*i**2 = 0?
-1, 2
Let w(b) = -9*b**5 - 7*b**4 - 5*b**3 + 7*b**2 - 7*b - 7. Let o(s) = -5*s**5 - 4*s**4 - 3*s**3 + 4*s**2 - 4*s - 4. Let a(g) = 7*o(g) - 4*w(g). Solve a(h) = 0.
-1, 0, 1
Let r(x) = -x**2 + 10*x - 9. Let a be r(9). Solve 1/4*u**2 - 1/4*u**4 + a + 1/4*u - 1/4*u**3 = 0 for u.
-1, 0, 1
Factor 5*y**2 + 6 - 18*y**2 + 9*y**3 + 7*y**2 - 9*y + 3*y**2 - 3*y**4.
-3*(y - 2)*(y - 1)**2*(y + 1)
Let i(b) be the second derivative of 9*b - 1/20*b**4 + 2/5*b**2 - 2/15*b**3 + 0. Factor i(a).
-(a + 2)*(3*a - 2)/5
Let x be 7/((-28)/(-176)) - -4. Let v be (1 + (-39)/x)*4. Factor v*o - 1/2 - 1/4*o**2.
-(o - 2)*(o - 1)/4
Let f(u) = u**3 - u**2 + u - 2. Let a be f(0). Let s be 9/a + 4 + 1. Solve 0 - s*y - 3/4*y**2 + 0*y**3 + 1/4*y**4 = 0 for y.
-1, 0, 2
Let n(h) be the third derivative of -h**8/2856 - h**7/1785 + h**6/1020 + h**5/510 + 5*h**2. Factor n(g).
-2*g**2*(g - 1)*(g + 1)**2/17
Let g(f) be the first derivative of -f**5/20 + f**4/6 - f**3/6 + 2*f + 1. Let d(y) be the first derivative of g(y). Solve d(p) = 0 for p.
0, 1
Let h(i) be the second derivative of i**6/15 + i**5/5 - i**4/8 - 7*i**3/12 - i**2/2 - 6*i. Find s, given that h(s) = 0.
-2, -1/2, 1
Factor -7 - 1 + 9*l + 2*l - 3*l - 2*l**2.
-2*(l - 2)**2
Let -o - 7/8*o**2 - 1/8 = 0. What is o?
-1, -1/7
Let v(g) be the second derivative of 4/21*g**3 - g + 2/21*g**4 + 0 + 1/70*g**5 + 0*g**2. Solve v(b) = 0.
-2, 0
Suppose -2*k - 3 = -9. Find j such that 2*j + 2*j**5 - k*j**3 + 0*j - j**3 = 0.
-1, 0, 1
Let z be (2/5)/(1/5) + 0. Suppose 0 + 2/3*s**3 - 2/3*s**5 - 2/3*s**z + 2/3*s**4 + 0*s = 0. Calculate s.
-1, 0, 1
Let g(i) be the first derivative of -i**6/10 + 27*i**5/25 - 81*i**4/20 + 27*i**3/5 - 7. Factor g(d).
-3*d**2*(d - 3)**3/5
Let h(u) = 6*u**2 + 11*u - 12. Let a(r) = -2*r**2 - 4*r + 4. Let p(d) = -17*a(d) - 6*h(d). Factor p(b).
-2*(b - 2)*(b + 1)
Suppose -5*c = -g - 0*g - 11, -5*g = -20. Find w such that 3/5*w**c - 4/5*w - 1/5*w**4 + 0*w**2 + 0 = 0.
-1, 0, 2
Factor 1/2*b**4 - 2*b + 2*b**3 - 2 + 3/2*b**2.
(b - 1)*(b + 1)*(b + 2)**2/2
Let b(l) = -336*l**4 + 273*l**3 + 63*l**2 + 33*l - 33. Let q(c) = -21*c**4 + 17*c**3 + 4*c**2 + 2*c - 2. Let h(z) = 2*b(z) - 33*q(z). Solve h(g) = 0 for g.
-2/7, 0, 1
Suppose 2/9*c**3 + 0*c**4 + 0*c + 0*c**2 + 0 - 2/9*c**5 = 0. Calculate c.
-1, 0, 1
Let 4/5*d + 3/5 + 1/5*d**2 = 0. Calculate d.
-3, -1
Let l(h) be the first derivative of 0*h + 2/3*h**3 - 5 + h**2. Factor l(z).
2*z*(z + 1)
Factor -9 - 24*r + 2*r**2 + 1 - 20*r**2.
-2*(3*r + 2)**2
Suppose -a = -0*a. What is b in -2/5*b + 2/5*b**2 + a = 0?
0, 1
Let y(u) be the third derivative of -u**8/168 + 8*u**7/105 + 7*u**6/60 - 43*u**5/15 - 13*u**4 - 24*u**3 - 44*u**2. Suppose y(j) = 0. Calculate j.
-2, -1, 6
Let v(s) be the second derivative of s**10/30240 + s**9/7560 - s**7/1260 - s**6/720 - s**4/4 + 2*s.