/9, 0, 1
Suppose 4*i - a - 12 - 5 = 0, 0 = 5*a + 5. Suppose -2*q + 22 = -q - 5*n, -i*n - 14 = q. Factor -1 - 147/4*f**3 + 35/4*f**q + 4*f.
-(3*f + 1)*(7*f - 2)**2/4
Let f(p) be the first derivative of -p**4/12 + 2*p**3/9 + p**2/6 - 2*p/3 - 11. What is s in f(s) = 0?
-1, 1, 2
Let n(i) = -i**3 - 3*i**2 + 11*i + 35. Let d be n(-3). Find s, given that 1/6*s**d + 0*s + 0 = 0.
0
Let y(d) be the third derivative of -d**6/60 + d**5/15 + d**4/12 - 2*d**3/3 + 2*d**2. Factor y(r).
-2*(r - 2)*(r - 1)*(r + 1)
Let r(v) be the first derivative of -4 + v**2 + 1/3*v**3 + v. Factor r(c).
(c + 1)**2
Let f(c) = -c**3 + 16*c**2 + 18*c - 17. Let z = -23 - -40. Let p be f(z). Solve 0 + 2/3*o**4 + 0*o**3 - 2/3*o**2 + p*o = 0 for o.
-1, 0, 1
Solve 1/5*b + 0 + 2/5*b**2 + 1/5*b**3 = 0.
-1, 0
Let b(p) be the second derivative of -p**7/84 - p**6/24 - p**5/40 - 36*p. Let b(d) = 0. Calculate d.
-2, -1/2, 0
Let u = -10 + 13. Let n(j) be the third derivative of 0*j + 0 - 1/3*j**3 - 1/60*j**5 + 1/8*j**4 - u*j**2. Suppose n(h) = 0. What is h?
1, 2
Let h(q) be the second derivative of -q**7/21 - q**6/15 + q**5/5 + q**4/3 - q**3/3 - q**2 + 6*q. Factor h(m).
-2*(m - 1)**2*(m + 1)**3
Let g(z) be the first derivative of 1 - 1/2*z**2 + 0*z**3 - 1/240*z**5 + 0*z + 0*z**4. Let w(k) be the second derivative of g(k). Factor w(l).
-l**2/4
Let f(j) = j**4 - 2*j**3 - j**2. Let p(r) = -9*r**4 - 12*r**3 - 6*r**2 + 20*r + 15. Let o(n) = -4*f(n) - p(n). Factor o(h).
5*(h - 1)*(h + 1)**2*(h + 3)
Let o(u) be the first derivative of 2*u**3/9 + 2*u**2/3 + 2*u/3 - 3. Determine r, given that o(r) = 0.
-1
Let t(q) be the second derivative of -9*q**5/10 - 19*q**4/3 - 44*q**3/3 - 8*q**2 + q. Factor t(m).
-2*(m + 2)**2*(9*m + 2)
Let g(x) be the first derivative of 18/5*x + 1/10*x**4 - 10 + 3*x**2 + 14/15*x**3. Factor g(i).
2*(i + 1)*(i + 3)**2/5
Let q(h) be the second derivative of 3*h**5/80 - 55*h**4/48 + 87*h**3/8 - 81*h**2/8 + 27*h. Factor q(r).
(r - 9)**2*(3*r - 1)/4
Let m(p) be the third derivative of 4*p**2 + 0*p - 1/420*p**6 - 1/210*p**5 + 0*p**4 + 0*p**3 + 0. Factor m(q).
-2*q**2*(q + 1)/7
Let f(l) = 5*l**4 - 20*l**3 - 25*l**2 - 5. Let t(w) = -7*w**4 + 30*w**3 + 37*w**2 + 8. Let u(x) = 8*f(x) + 5*t(x). Factor u(d).
5*d**2*(d - 3)*(d + 1)
Let s(i) = -i**2 + 15*i - 4. Let l(g) = -g**2 - 1. Let o(j) = 4*l(j) - s(j). Suppose o(h) = 0. Calculate h.
-5, 0
Let s be (12/(-12))/(1/(-2)*1). Let x(n) be the third derivative of 0*n + 1/60*n**6 + 0 + 0*n**3 + 0*n**4 + n**s + 1/15*n**5. Let x(q) = 0. What is q?
-2, 0
Let k(i) be the second derivative of -i**6/600 + i**5/300 + i**4/60 + 3*i**2/2 - 8*i. Let n(a) be the first derivative of k(a). Suppose n(p) = 0. Calculate p.
-1, 0, 2
Find s such that 4/3*s - 1/3 + 1/3*s**2 - 4/3*s**3 = 0.
-1, 1/4, 1
Suppose -13*b + 4*g = -16*b - 11, 0 = 4*b - 3*g - 27. Find t such that -7/3*t**2 - 1/3 + 5/3*t + t**b = 0.
1/3, 1
Let y(f) = -2*f + 3. Let s be y(2). Let t = 3 + s. Factor 8*p**2 + 0*p**t + 0*p**2 + 4 + 10*p + 2*p**3.
2*(p + 1)**2*(p + 2)
Suppose -8*y**3 + 20*y**4 - 10*y**3 + y**2 - 6*y**5 + 3*y**2 = 0. Calculate y.
0, 1/3, 1, 2
Factor -2*u**4 + 3*u**4 - u**5 + 2*u**3 - u**2 - u**3.
-u**2*(u - 1)**2*(u + 1)
Let l be (-1 + 7)*(-4)/(-6). Suppose 0*q + 6 = -l*y - 5*q, -4*y = 4*q + 4. Solve z**2 + z + 2*z + y - z = 0 for z.
-1
Let n(l) be the second derivative of -l**5/60 + 5*l**4/36 - 4*l**3/9 + 2*l**2/3 - 15*l. Determine b, given that n(b) = 0.
1, 2
Let x = -12 - -20. Let l be 16/6*6/x. Let 2*j + l + 34*j**2 - 5*j**3 - 36*j**2 + 3*j = 0. What is j?
-1, -2/5, 1
Let g = -1/67 + 137/201. Let v(k) = k**3 - 3*k**2 - 3*k. Let r be v(4). Suppose 8/3*y**2 + 2*y**5 - 8/3*y**r + 0 - 4/3*y**3 - g*y = 0. Calculate y.
-1, 0, 1/3, 1
Let s(i) be the first derivative of -i**6/12 + i**5/20 + i**4/8 - i**3/12 - 4. Suppose s(a) = 0. What is a?
-1, 0, 1/2, 1
Suppose 2 = -q - 0*y - 2*y, 2*q + 22 = 5*y. Let p be 1/(-5) + q/(-15). Let k - 6/5*k**2 - p = 0. Calculate k.
1/3, 1/2
Let y(o) = 3*o**3 - 9*o + 3. Let i(c) = c**2 - c - 1. Let p(r) = 9*i(r) - y(r). Determine z so that p(z) = 0.
-1, 2
Let n(u) be the first derivative of 1/6*u**3 + 1 + 1/40*u**5 - u + 1/8*u**4 + 0*u**2. Let l(f) be the first derivative of n(f). Factor l(b).
b*(b + 1)*(b + 2)/2
Solve 5/3*x - 3*x**3 - 2*x**2 + 2/3*x**4 + 0 = 0.
-1, 0, 1/2, 5
Let y(u) be the third derivative of u**6/240 - u**5/60 + u**4/48 + 2*u**2 - 2. Suppose y(o) = 0. Calculate o.
0, 1
Let i = 355 - 353. Factor 3/5*k**i + 2/5*k + 1/5*k**3 + 0.
k*(k + 1)*(k + 2)/5
Let a(v) be the third derivative of -v**6/72 - v**5/18 - 7*v**2. Determine u so that a(u) = 0.
-2, 0
Let l(c) be the third derivative of c**8/126 - c**7/63 - c**6/60 + c**5/18 - c**4/36 + 3*c**2. Let l(t) = 0. What is t?
-1, 0, 1/4, 1
Let q be -2*(-9)/(-12)*2 - -3. Factor 2/3 - 1/3*l**3 + q*l**2 + l.
-(l - 2)*(l + 1)**2/3
Let d(z) be the first derivative of -z**4/6 + 4*z**3/9 - z**2/3 + 5. Solve d(h) = 0 for h.
0, 1
Suppose 2*c - 10 = -10. Let f be 2/6 - 15/(-9). Suppose c + 7/2*q**f - q = 0. What is q?
0, 2/7
Let q(b) = 3*b**3 - 8*b + 13*b + 7*b**2 + 2*b**4 + 2*b**3. Let g(p) = -p**4 - p**3 - p**2 - p + 1. Let l(r) = -2*g(r) - 2*q(r). Factor l(n).
-2*(n + 1)**4
Find v, given that -4/3*v + 2/3*v**4 + 4/3*v**3 + 0 - 2/3*v**2 = 0.
-2, -1, 0, 1
Factor 32/9*f - 2/3*f**2 - 10/9.
-2*(f - 5)*(3*f - 1)/9
Let b(o) be the third derivative of o**5/270 + o**4/54 - 3*o**2. Factor b(u).
2*u*(u + 2)/9
Suppose 3*c + 0*a = 3*a - 12, 4*a = 16. Find o, given that -o**4 + o**2 + c*o**4 + 0*o**4 = 0.
-1, 0, 1
Let u = 6 + -3. Let j(r) be the first derivative of 5*r**2 - 2*r**2 - 3*r**u + 3*r - r**4 - 1 + 2*r**2. Suppose j(i) = 0. What is i?
-3, -1/4, 1
Let i = -15 + 23. Let g = 11 - i. Factor -2*t**2 + t + 3*t**3 - 7*t**2 + g*t**2 + 2*t.
3*t*(t - 1)**2
Find z such that -12*z**2 - z**3 + 16 + 6*z**3 - 2*z**3 + z**3 = 0.
-1, 2
Suppose -19*g + 18*g = -2. Let d be g/9 - 48/(-27). Suppose -5/4*c**3 - c + 0 + 2*c**d + 1/4*c**4 = 0. Calculate c.
0, 1, 2
Factor 4*p + 12 + 1/3*p**2.
(p + 6)**2/3
Suppose 4/3*t**5 - 4/3 - 4/3*t**4 + 8/3*t**2 + 4/3*t - 8/3*t**3 = 0. What is t?
-1, 1
Let u(b) be the second derivative of -6*b + 1/12*b**4 + 0*b**3 + 0 - 2*b**2. Find r such that u(r) = 0.
-2, 2
Let m(b) = b**2 - 12*b - 10. Let z be m(13). Let r**3 + r**z + 6*r**2 - 3*r**4 + r**3 = 0. Calculate r.
-1, 0, 2
Let q be (-42)/(-12)*24/105. Solve -2/5*d + 0 + q*d**2 = 0.
0, 1/2
Let o(g) be the third derivative of 1/45*g**5 - 1/180*g**6 + 0 - 1/36*g**4 + 0*g**3 + 0*g + 5*g**2. Let o(c) = 0. Calculate c.
0, 1
Let r(h) be the third derivative of -h**5/90 - h**4/3 - 4*h**3 - 12*h**2. Factor r(p).
-2*(p + 6)**2/3
Let q(j) = 3*j**2 + 8*j. Let s(f) = 15*f**2 + 41*f. Let v(t) = -11*q(t) + 2*s(t). Factor v(z).
-3*z*(z + 2)
Let s = -6384583/55657 - 10/7951. Let v = s - -115. Let 2/7*j - 2/7*j**3 - 2/7*j**2 + 0 + v*j**4 = 0. Calculate j.
-1, 0, 1
Let n = 550/3 + -182. Determine m so that n*m**2 - 2/3*m**3 + 2*m + 0 = 0.
-1, 0, 3
Let k(m) = m + 17. Let o be k(-14). Let i(a) be the second derivative of -1/30*a**4 - 1/15*a**o + 2/5*a**2 + 2*a + 0. Suppose i(h) = 0. What is h?
-2, 1
Let y(o) be the second derivative of o**4/21 - 4*o**3/7 + 18*o**2/7 + 9*o - 1. Solve y(x) = 0 for x.
3
Let f be ((-4)/5)/((-66)/55). Determine r so that -f*r**3 + 2/3*r - 2/3*r**2 + 2/3 = 0.
-1, 1
Let a(f) = -f**4 + 3*f**3 + f**2. Let k(u) = 2*u**3. Let c be 16/12*(-9)/6. Let i(w) = c*a(w) + 3*k(w). Factor i(x).
2*x**2*(x - 1)*(x + 1)
Let n = -1/19 + 43/95. Factor 0 - n*i**3 + 6/5*i**2 - 4/5*i.
-2*i*(i - 2)*(i - 1)/5
Let s be (5 - 3)/((-11)/((-165)/50)). Solve s*k**3 - 12/5*k**2 + 3*k - 6/5 = 0.
1, 2
Let d(j) be the second derivative of -j**6/20 - 9*j**5/20 - 13*j**4/8 - 3*j**3 - 3*j**2 + 3*j. Solve d(w) = 0.
-2, -1
Suppose 0 = -k + 3 - 0. Let u be (3 + (0 - k))*1. Solve u*i**2 + 0*i**3 + 0 + 2/7*i**4 + 0*i + 2/7*i**5 = 0 for i.
-1, 0
Let n(d) = 6*d - 5. Let a be n(5). Suppose 0 = 5*p + 3*i - a, 2 = 2*p - 3*i + 13. Solve -p + h**2 + 2 - 1 = 0.
-1, 1
Let c = -239/3 - -81. Solve -2/3*y + c - 2/3*y**2 = 0 for y.
-2, 1
Let a = 429/27920 + -1/349. Let n(s) be the second derivative of 0 + 1/16*s**4 + 0*s**2 - a*s**5 - 1/12*s**3 - s. What is x in n(x) = 0?
0, 1, 2
Let l(j) be the second derivative of -1/2*j**2 - 1/30*j**6 + 0 - 1/5*j**5 - 2/3*j**3 - 4*j - 1/2*j**4. Let l(g) =