
0, 1, 2
Suppose 3*a - 17 - 1 = 0. Let t be 1/3 - (-28)/a. Factor 0 + 0*j - 2/7*j**t + 0*j**4 + 0*j**2 + 2/7*j**3.
-2*j**3*(j - 1)*(j + 1)/7
Suppose 0 + 0*j**3 + 0*j - 2/3*j**2 + 2/3*j**4 = 0. Calculate j.
-1, 0, 1
Let k(f) be the third derivative of -f**5/630 - 2*f**4/63 - 16*f**3/63 - 4*f**2. Factor k(o).
-2*(o + 4)**2/21
Let y(g) be the second derivative of -3*g**5/20 + 11*g**4/36 - g**3/9 - 6*g. Factor y(k).
-k*(k - 1)*(9*k - 2)/3
Let w(o) be the second derivative of o**5/80 - o**4/24 + 9*o. Determine t so that w(t) = 0.
0, 2
Find n, given that -50/9 + 20/9*n - 2/9*n**2 = 0.
5
Let a(t) be the second derivative of t**4/12 + t**3/6 - 2*t. Let i be a(-2). Determine l, given that 2*l**4 - 2*l + 6*l**i - 6*l**3 - 2*l**2 + 2*l**2 = 0.
0, 1
Suppose -5*d - 1 + 26 = 0. Factor 2*z + d*z**4 + 5*z**2 - 7*z**4 + 2*z + z**2.
-2*z*(z - 2)*(z + 1)**2
Let y(d) be the first derivative of 3136*d**6/27 + 8288*d**5/45 + 1094*d**4/9 + 1154*d**3/27 + 76*d**2/9 + 8*d/9 + 6. Determine w so that y(w) = 0.
-2/7, -1/4
Let w(k) = k**3 - 3*k**2 - 3*k - 1. Let j be w(4). Let t be 8/j - 3/(-9). What is q in 3*q**t - 7*q**3 - q**2 - q**5 - 3*q**4 + q**3 = 0?
-1, 0
Let s(z) be the third derivative of 0 + 3*z**2 - 1/20*z**5 + 0*z + 3/40*z**4 + 1/5*z**3. Factor s(w).
-3*(w - 1)*(5*w + 2)/5
Let y be -1 - -5 - 839/210. Let p(s) be the third derivative of 0*s + 0*s**4 + 0 - y*s**7 + 1/60*s**6 - 1/60*s**5 - s**2 + 0*s**3. Factor p(k).
-k**2*(k - 1)**2
Suppose -5*b = 2*c - 2 + 6, 0 = 2*c - 4*b - 32. Suppose z = -z + c. Factor -1/2*p**5 - 5*p**3 + 1/2 + 5/2*p**z + 5*p**2 - 5/2*p.
-(p - 1)**5/2
Let r = -10 - -7. Let i be (-1)/r - (-2)/30. Let i*h**2 + 2/5*h**3 + 0 + 0*h = 0. Calculate h.
-1, 0
Let c(a) = -a**3 + 2*a**2 + 5*a + 3. Let r = -13 - -7. Let f(h) = 2*h**3 - 5*h**2 - 11*h - 7. Let l(v) = r*f(v) - 14*c(v). Let l(w) = 0. Calculate w.
-2, 0, 1
Let t be (-3 + (-1)/(-1))/(-6). What is w in -2/3*w**2 - 1/3*w - t*w**3 + 0 = 0?
-1, 0
Let k(a) = a**2 - 3*a + 6. Let q be k(5). Let u = q + -14. Factor 1/6 + 0*g - 1/6*g**u.
-(g - 1)*(g + 1)/6
Let h(r) = r**3 + 4*r**2 + 3*r - 5*r**3 - 8*r**2. Let w(z) = z**3 + z**2 - z. Let q(l) = -h(l) - 3*w(l). Factor q(f).
f**2*(f + 1)
Let y(u) = -2*u**4 + 4*u**3 + 4*u**2 - 4*u. Let x(i) = 5*i**4 - 13*i**3 - 13*i**2 + 11*i. Let d(r) = 4*x(r) + 11*y(r). Factor d(p).
-2*p**2*(p + 2)**2
Let o(m) be the first derivative of 1/6*m**6 - 1 - 2/3*m**3 + 1/2*m**2 - 1/2*m**4 + m + 1/5*m**5. Solve o(d) = 0 for d.
-1, 1
Let v(w) be the third derivative of 1/75*w**5 + 0*w + 1/840*w**8 + 0*w**4 - 1/100*w**6 + 2*w**2 + 0*w**3 + 0 + 0*w**7. Solve v(x) = 0 for x.
-2, 0, 1
Let d be (43 - 1)*(-28)/(-630). Let h = 11/5 - d. Let -h*i**2 - 1/6 + 1/2*i = 0. Calculate i.
1/2, 1
Let m = 3 + 0. Find n such that 3*n**2 - n**3 + m*n**4 + n**3 - 6*n**2 = 0.
-1, 0, 1
Determine t so that -3*t**5 - 3*t**5 + 4*t**4 - 4*t**3 + 2*t**5 + 4*t**4 = 0.
0, 1
What is w in 0 + 6/13*w + 2/13*w**2 = 0?
-3, 0
Let i(d) be the first derivative of -d**4/20 + 3*d**2/10 - 2*d/5 + 7. Determine v, given that i(v) = 0.
-2, 1
What is b in 2/3*b**2 + 0 + 1/3*b**5 - 2/3*b**4 - 1/3*b + 0*b**3 = 0?
-1, 0, 1
Let k be 2 - ((-35)/7 + 5 + -1). Factor 4/7*l**4 - 1/7 - 5/7*l**k - 3/7*l**2 + 5/7*l.
(l - 1)**2*(l + 1)*(4*l - 1)/7
Let v be (-4)/(-14) + 504/(-49). Let i = v + 10. Factor i*x - 2/5*x**2 + 2/5*x**3 + 0.
2*x**2*(x - 1)/5
Let r(y) = -y**5 - y**4 - 4*y**3 - 2*y**2. Let w(m) = -3*m**5 - 3*m**4 - 9*m**3 - 5*m**2. Let z(q) = -5*r(q) + 2*w(q). Suppose z(b) = 0. What is b?
-2, 0, 1
Let t(f) be the second derivative of f**9/52920 - f**8/5880 + f**7/1764 - f**6/1260 + 5*f**4/12 - 4*f. Let h(k) be the third derivative of t(k). Factor h(c).
2*c*(c - 2)*(c - 1)**2/7
Let b(l) be the third derivative of l**8/1120 + l**7/180 - 17*l**6/1080 + l**5/60 - l**4/24 - 3*l**2. Let m(q) be the second derivative of b(q). Factor m(t).
2*(t + 3)*(3*t - 1)**2/3
Let g(m) = m**2 - 11*m - 2. Let x be g(10). Let d be x/(-14) - 4/14. Factor -4/7*n**4 + 0*n**3 - 2/7*n**5 + 0 + 2/7*n + d*n**2.
-2*n*(n - 1)*(n + 1)**3/7
Let t(g) = -g**3 + 9*g**2 - 9*g + 11. Let h be t(8). Factor -2*p**2 - 2*p**3 + 6*p**2 - p**2 + h*p**2.
-2*p**2*(p - 3)
Factor 0 - 16/19*z**2 + 36/19*z**3 + 0*z + 10/19*z**4.
2*z**2*(z + 4)*(5*z - 2)/19
Factor 2*g**2 + 4*g**4 - 6*g**4 + 2*g**3 - 2*g**3 - 2*g**3 + 2*g.
-2*g*(g - 1)*(g + 1)**2
Let g(x) be the second derivative of 2*x - 1/7*x**2 - 2/21*x**3 - 1/42*x**4 + 0. Let g(d) = 0. Calculate d.
-1
Let a(k) be the second derivative of k**5/20 - k**4/12 - 2*k. Let u(c) = -2*c**3 + 2*c**2. Let b(o) = 12*a(o) + 5*u(o). Factor b(r).
2*r**2*(r - 1)
Let t = 102/5 - 20. Factor 2/5*i**3 - 2/5*i + 2/5 - t*i**2.
2*(i - 1)**2*(i + 1)/5
Let h(f) be the third derivative of 0*f**3 + 2/315*f**7 - 1/45*f**5 + 0*f**6 + 1/36*f**4 + 0 + 0*f + 6*f**2 - 1/504*f**8. Factor h(a).
-2*a*(a - 1)**3*(a + 1)/3
Let i(y) be the first derivative of 2*y**5/35 + 3*y**4/14 + 2*y**3/21 - 3*y**2/7 - 4*y/7 + 45. Factor i(q).
2*(q - 1)*(q + 1)**2*(q + 2)/7
Let q(l) = 4*l**4 + 12*l**3 + 4*l**2 + 4. Let t = -4 - -8. Let i(d) = 4*d**4 + 12*d**3 + 3*d**2 + 3. Let k(z) = t*i(z) - 3*q(z). What is b in k(b) = 0?
-3, 0
Let 2/7*b**2 - 2/7*b + 2/7*b**3 - 2/7 = 0. What is b?
-1, 1
Factor -5/4*x**3 + 5/4*x**4 - 5/4*x**2 + 5/4*x + 0.
5*x*(x - 1)**2*(x + 1)/4
Suppose p = -5*y + 5, -5*p + 0*p - 23 = y. Let n = y - 0. Find a such that -a**4 + 5*a**5 + a**n + a**3 + a**5 - 7*a**5 = 0.
-1, 0, 1
Let p(n) be the first derivative of 0*n**3 - 1/8*n**2 - 2*n + 1/48*n**4 + 2. Let k(o) be the first derivative of p(o). Let k(h) = 0. Calculate h.
-1, 1
Let 4*x - 1 + 5 - 4 + x**2 = 0. Calculate x.
-4, 0
Factor 2 + 4*w**2 + 68*w - 38 - 36*w.
4*(w - 1)*(w + 9)
Factor 4/5*h**5 + 0 + 8/5*h**4 + 0*h**2 + 0*h + 4/5*h**3.
4*h**3*(h + 1)**2/5
Let k = 41734417108/1001 + -41692728. Let i = 14/143 - k. Factor -i*a**2 - 2/7*a**4 - 8/7 + 12/7*a**3 + 24/7*a.
-2*(a - 2)**2*(a - 1)**2/7
Let o(q) be the second derivative of q**6/10 - 3*q**5/20 - q**4/2 + 12*q. Factor o(n).
3*n**2*(n - 2)*(n + 1)
Suppose 0*j = -5*j + 2*n + 25, -5*n = 4*j - 20. Find i, given that 21*i**4 - 2*i**j - 17*i**2 + 11*i**5 + 0*i**3 - 3 - 15*i - i**2 + 6*i**3 = 0.
-1, -1/3, 1
Suppose 4 = 3*b + 1, 5*p - 17 = -2*b. Suppose 4/3 - 2*v - 14/3*v**p - 8*v**2 = 0. Calculate v.
-1, 2/7
Let k(v) be the third derivative of -v**8/1008 + v**7/630 + v**6/180 - 4*v**2. Factor k(i).
-i**3*(i - 2)*(i + 1)/3
Let c(r) be the third derivative of -r**5/8 - 5*r**4/24 + 5*r**3/12 + 11*r**2. Factor c(s).
-5*(s + 1)*(3*s - 1)/2
Let n(h) be the first derivative of -2 + 1/4*h**2 - 1/8*h**4 - 1/6*h**3 + 1/2*h. Find s such that n(s) = 0.
-1, 1
Let z be 14/35 + 26/10. Let -2*s**z - 12*s**3 + 4*s - 5*s**2 + 10*s**5 - s**2 + 6*s**4 = 0. What is s?
-1, 0, 2/5, 1
Let r = 10 + -14. Let m = r + 4. Factor 2/3*v**3 + 0*v - 2/3*v**2 + m.
2*v**2*(v - 1)/3
Let b = 13 - 8. Let a(c) = 6*c**2 + 4*c. Let y(q) = -11*q**2 - 7*q. Suppose 4*o - 3*s + 1 = 22, -18 = -o + 5*s. Let j(u) = b*a(u) + o*y(u). Factor j(n).
-n*(3*n + 1)
Factor 2/5*b**2 - 6/5*b + 4/5.
2*(b - 2)*(b - 1)/5
Let s(c) be the third derivative of -c**9/630 - 3*c**8/560 - c**7/140 - c**6/240 + c**4/12 + 3*c**2. Let f(d) be the second derivative of s(d). Factor f(y).
-3*y*(2*y + 1)**3
Let f(h) = -6*h**3 - 5*h**2 - 5*h - 5. Let b(p) = -p**3 - p**2 - p - 1. Let y(w) = -10*b(w) + 2*f(w). Suppose y(x) = 0. Calculate x.
0
Let p = 76 - 71. Let f(t) be the first derivative of 1/4*t + 1/20*t**p - 1/24*t**6 - 1/8*t**2 - 1/6*t**3 + 1/8*t**4 - 2. Factor f(i).
-(i - 1)**3*(i + 1)**2/4
Suppose 0 = -3*h + 14 + 4. Factor 5*y**2 - 5*y**2 + 2*y + y**2 + 5*y**3 + h*y**2.
y*(y + 1)*(5*y + 2)
Let d(q) be the first derivative of q**6/18 - 2*q**5/5 + 11*q**4/12 - 2*q**3/9 - 2*q**2 + 8*q/3 + 17. Factor d(f).
(f - 2)**3*(f - 1)*(f + 1)/3
Let 5/2*d**5 + 15/2*d**4 + 5*d**3 + 0*d + 0*d**2 + 0 = 0. Calculate d.
-2, -1, 0
Factor 2/15*d**2 + 40/3 + 8/3*d.
2*(d + 10)**2/15
Suppose -5*b + 3*g = -b - 20, -3*g - 8 = 2*b. Factor t**2 + 5*t + 0*t**2 + t**3 - 2 - 5*t**b + 0*t**2.
(t - 2)*(t - 1)**2
Suppose -30 = 4*w - 9*w. Let y(b) = -b**3 - b**2 - 5*b + 1. Let k be -1*(2 + -5)/(-3). Let m(h) = -h. Let d(g) = k*y(g) + w*m(g). Solve d(u) = 0 for u.
-1, 1
Let s(j) be the third derivative of -j**8/560 + j**7/140 - j**5/20 + j**4/8 - j**3/3 - j**2. L