/7, 1
Let b(t) = 13*t**2 - t. Let p be b(1). Suppose 0 = 2*m - 4*l + p, -4*m + 0*m + 28 = 5*l. Factor 0*v**3 + 0 + 0*v + 2/3*v**m - 2/3*v**4.
-2*v**2*(v - 1)*(v + 1)/3
Let y(r) be the first derivative of 2*r**6/3 - 8*r**5/25 - r**4 + 8*r**3/15 - 9. What is j in y(j) = 0?
-1, 0, 2/5, 1
Let m(y) = -3*y**3 + y**2 + 7*y - 5. Let k(t) = -4 - t**3 + 0*t + 4*t + 1 + 0*t. Let l(d) = -5*k(d) + 3*m(d). Factor l(w).
-w*(w - 1)*(4*w + 1)
Suppose -3*h = -15, 0 = -5*i + h - 323 + 1173. Let s = i + -1879/11. Factor -6/11*l + s - 2/11*l**3 + 6/11*l**2.
-2*(l - 1)**3/11
Let z = -29/7 + 123/28. Factor -1/2 + 1/4*g**2 - z*g.
(g - 2)*(g + 1)/4
Suppose -z - 3*z + 3*q = -24, -4*z - 8 = 5*q. Find f such that -8 + f - z*f - 2*f**2 + 4 + 8*f = 0.
1, 2
Determine q so that 1/6*q - 1/6*q**2 + 1/3 = 0.
-1, 2
Let f(j) be the first derivative of 0*j**2 - 1/3*j**3 + j + 3. What is p in f(p) = 0?
-1, 1
Let t(j) be the second derivative of j**9/37800 - j**4/4 - 2*j. Let y(p) be the third derivative of t(p). Factor y(l).
2*l**4/5
Let f(r) be the first derivative of -r**5/60 - r**4/12 - r**2/2 + 3. Let h(s) be the second derivative of f(s). Find z such that h(z) = 0.
-2, 0
Suppose -5*o = -o - 32. Factor g**4 - 1 + 1 - o + 24*g + 12*g**3 - 3*g**4 - 26*g**2.
-2*(g - 2)**2*(g - 1)**2
Let s be (-4)/(-5)*-2 - 2*-1. Suppose 2/5*p + s*p**3 - 4/5*p**2 + 0 = 0. Calculate p.
0, 1
Suppose 0 = 10*o - 15*o. Let w(n) be the second derivative of 2/15*n**6 + o*n**5 + 0 + 0*n**3 - 1/21*n**7 + 0*n**2 + 0*n**4 - 3*n. Factor w(z).
-2*z**4*(z - 2)
Suppose h = -h. Let k(b) be the first derivative of 1 + b**2 + h*b + 4/3*b**3 + 1/2*b**4. Factor k(q).
2*q*(q + 1)**2
Suppose b - 3*k = -4, -9 + 1 = -4*k. Let g be (-2 - 8/(-6))*-3. Solve -3*p**g + p + p**2 + 2*p**b + p**2 = 0.
-1, 0
Let u = 20/39 + -14/39. Factor 2/13*a**2 - 2/13*a**3 + 2/13*a - u.
-2*(a - 1)**2*(a + 1)/13
Let h be 3/((-18)/(-4)) + 5 + -5. Let v be ((-3)/(-3))/(6/4). Suppose -2/3*c - h*c**2 + 2/3*c**3 + v = 0. Calculate c.
-1, 1
Suppose -6 - 2 = -4*p. Let 4*i + 4*i**3 - 6*i**3 + 3*i**p - i**3 + 2*i = 0. Calculate i.
-1, 0, 2
Let k(c) be the second derivative of 0 + 3*c + 0*c**3 + 1/24*c**4 + 0*c**2. Factor k(i).
i**2/2
Let z be 2 + 0 + (-20)/12. Let -z*l + 0 - 5/6*l**2 = 0. Calculate l.
-2/5, 0
Let n(v) = -9*v**2 + v**2 + v**2. Suppose 0 = -k - 0*k - 2*x - 15, -k - x - 10 = 0. Let a(u) = -8*u**2. Let o(l) = k*a(l) + 6*n(l). Find s, given that o(s) = 0.
0
Let n(u) be the second derivative of 1/2*u**3 - 1/540*u**6 + 0*u**2 - 1/4*u**4 + 1/30*u**5 + 0 - 2*u. Let r(y) be the second derivative of n(y). Factor r(j).
-2*(j - 3)**2/3
Let s(n) be the second derivative of 1/60*n**4 + 0 - n - 1/10*n**2 + 0*n**3. Factor s(b).
(b - 1)*(b + 1)/5
Let d(k) = 3*k**5 - 3*k**4 - 3*k**3 - 7*k**2 - 5*k - 5. Let t(f) = 2*f**5 - 2*f**4 - 2*f**3 - 6*f**2 - 4*f - 4. Let n(r) = 4*d(r) - 5*t(r). Factor n(a).
2*a**2*(a - 1)**2*(a + 1)
Let f(i) = i**4 - i**3 - i. Let c(r) = 3*r**4 - 3*r**3 - 6*r. Let x(v) = -c(v) + 6*f(v). Factor x(d).
3*d**3*(d - 1)
Determine p so that -2/3 + 19/3*p + 25*p**2 = 0.
-1/3, 2/25
Factor -1/3*g**2 + 0*g - 4/3*g**3 - g**4 + 0.
-g**2*(g + 1)*(3*g + 1)/3
Let h(f) be the third derivative of -f**9/18144 + f**7/5040 - 2*f**3/3 + 2*f**2. Let a(g) be the first derivative of h(g). Find t, given that a(t) = 0.
-1, 0, 1
Let s(w) be the third derivative of w**5/330 - 5*w**4/132 + 2*w**3/11 - 39*w**2. Suppose s(g) = 0. Calculate g.
2, 3
Suppose -52*z + 9*z = -129. Determine y, given that -1/7*y**2 + 1/7*y**5 + 0*y + 0 + 1/7*y**4 - 1/7*y**z = 0.
-1, 0, 1
Factor 12*p**2 - p + 47 - 2*p**3 - 31 - 23*p.
-2*(p - 2)**3
Let r(i) = -i**3 - i**2 + i - 1. Let c(t) = 4*t**4 + 17*t**3 + 9*t**2 - 17*t - 3. Let g(s) = -c(s) - 5*r(s). Factor g(m).
-4*(m - 1)*(m + 1)**2*(m + 2)
Let l(i) = 4*i. Let m(f) = -f**3 + 8*f**2 + 9*f + 1. Let b be m(9). Let z be l(b). What is h in 2/3*h**3 + 2/9*h**5 + 0 + 0*h - 2/3*h**z - 2/9*h**2 = 0?
0, 1
Let w(z) = -z**3 - 6*z**2 - 5*z + 5. Let s be w(-5). What is t in s*t**3 - t**3 - 2*t**4 - 2*t**3 + 0*t**4 = 0?
0, 1
Let v(p) be the second derivative of -3*p**5/20 + p**4/2 + p**3/2 - 3*p**2 - 24*p. Factor v(f).
-3*(f - 2)*(f - 1)*(f + 1)
Factor -8/11*d**4 + 12/11*d**3 + 2/11*d - 8/11*d**2 + 0 + 2/11*d**5.
2*d*(d - 1)**4/11
Factor -5 + 4*d**2 - 2 + 7 - 4*d**3.
-4*d**2*(d - 1)
Let c be (4/14)/(4/7). Factor -a + 0 + c*a**2.
a*(a - 2)/2
Let a(k) be the third derivative of -k**7/735 + k**6/210 - k**4/42 + k**3/21 + 21*k**2. Suppose a(f) = 0. Calculate f.
-1, 1
Suppose 300 = 11*d + 278. Factor 1/3*r**d - 1 - 2/3*r.
(r - 3)*(r + 1)/3
Let b(h) be the first derivative of 7*h**3/12 + 13*h**2/4 - 2*h - 7. Solve b(v) = 0.
-4, 2/7
Let s(g) = g**3 - 1. Let l(o) = -4*o**3 - 2*o**2 - o + 7. Let n(q) = l(q) + 5*s(q). Factor n(z).
(z - 2)*(z - 1)*(z + 1)
Suppose 1 = 2*x + 3. Let a be -2*(-1)/(x + 2). Factor -t**2 - t**2 + 2 - a*t**2 + 6*t**2 - 4*t.
2*(t - 1)**2
Let z(b) be the second derivative of 3/20*b**5 + 3*b + 0*b**3 + 0*b**4 - 1/10*b**6 + 0*b**2 + 0. Factor z(t).
-3*t**3*(t - 1)
Let l be ((-3)/(-18))/(20/15). Let b(x) be the first derivative of 0*x**2 + 0*x - l*x**4 + 2 - 1/6*x**3. Solve b(t) = 0.
-1, 0
Let j(w) be the second derivative of w**7/105 - w**6/75 - w**5/50 + w**4/30 + w + 4. Factor j(y).
2*y**2*(y - 1)**2*(y + 1)/5
Let r(d) = -d**3 - d**2. Let h(o) = -6*o**3 - 6*o**2. Let u(l) = -2*h(l) + 10*r(l). Factor u(b).
2*b**2*(b + 1)
Factor 0 + 1/8*j + 1/4*j**2.
j*(2*j + 1)/8
Suppose 21*l - 4*l = 0. Let t(o) be the first derivative of 1/2*o**4 + 0*o**2 + 3 + l*o**3 + 0*o. Factor t(f).
2*f**3
Let l(r) be the first derivative of -4/3*r**3 - 2 - 5/12*r**4 - 1/20*r**5 - 2*r**2 + 3*r. Let a(y) be the first derivative of l(y). Find m such that a(m) = 0.
-2, -1
Let p(i) be the second derivative of i**6/60 - i**4/24 + 3*i. Factor p(s).
s**2*(s - 1)*(s + 1)/2
Let q(n) be the second derivative of -3*n**5/140 + n**4/28 - 5*n. Let q(x) = 0. Calculate x.
0, 1
Let p(g) = -g - 1. Let o be p(-3). Factor 0*s - 3*s**o + 0 + 3/2*s**3.
3*s**2*(s - 2)/2
Factor 8*y**2 + 6*y**3 + 21*y**3 + 36*y**4 + 15*y**5 - 2*y**2.
3*y**2*(y + 1)**2*(5*y + 2)
Let d(o) = -40*o**3 - 48*o**2 - 12*o + 4. Let u(x) = -119*x**3 - 144*x**2 - 37*x + 11. Let l(q) = 11*d(q) - 4*u(q). Factor l(z).
4*z*(3*z + 2)**2
Let h(w) be the first derivative of -w**6/15 - w**5/10 + w**4/6 + w**3/3 + w + 4. Let f(z) be the first derivative of h(z). Factor f(t).
-2*t*(t - 1)*(t + 1)**2
Let m = 0 + 1/3. Factor m*s**2 + 0*s - 1/3.
(s - 1)*(s + 1)/3
Let t = 12 - 4. Let b = t - 5. Suppose -8/3*r**2 + 2/3 - 6*r**4 + 22/3*r**b + 5/3*r**5 - r = 0. Calculate r.
-2/5, 1
Let c(t) = -9*t**3 - 3*t**2 - t - 7. Let u(i) = 8*i**3 + 2*i**2 + 6. Let g(h) = 4*c(h) + 5*u(h). Factor g(a).
2*(a - 1)*(a + 1)*(2*a - 1)
Factor -204 - 18 + 90*s - 453 - 3*s**2.
-3*(s - 15)**2
Suppose 1/3*i + 2*i**4 + 2/3 - 8/3*i**2 - 1/3*i**3 = 0. Calculate i.
-1, -1/2, 2/3, 1
Let o(d) be the third derivative of -d**8/1008 + d**6/360 - 58*d**2. Factor o(z).
-z**3*(z - 1)*(z + 1)/3
Let u(r) = r**3 + 5*r**2 - 4*r - 2. Let d be u(-6). Let w = 1 - d. Find m such that -19*m**4 + w*m**3 + 3*m - m + 7*m**5 - 4*m + 0*m - m**2 = 0.
-2/7, 0, 1
Let o = 515 + -6691/13. What is h in -2/13*h**4 + 0*h**3 + 0*h - 2/13 + o*h**2 = 0?
-1, 1
Let d(i) = 32*i**4 - 28*i**3 + 4*i**2 - 4*i - 4. Let z(y) = -65*y**4 + 55*y**3 - 8*y**2 + 7*y + 7. Let h(n) = -7*d(n) - 4*z(n). Suppose h(v) = 0. What is v?
0, 1/3
Factor -9*m**2 - 5*m**2 - 5*m - m**3 + 8*m**2.
-m*(m + 1)*(m + 5)
Let m be 63/6*2/28. Factor -1/4*d**2 + 1/4*d**4 + 0 + 1/2*d - m*d**3 + 1/4*d**5.
d*(d - 1)**2*(d + 1)*(d + 2)/4
Let w = -1107/11 + 10774/77. Let i = w - 39. Factor 0*z + 2/7*z**2 - i.
2*(z - 1)*(z + 1)/7
Let p(c) be the second derivative of 1/130*c**5 + 0*c**2 + 1/39*c**3 + 0 + 1/39*c**4 - 8*c. What is v in p(v) = 0?
-1, 0
Find p such that 9*p**4 - 5*p**3 + 27*p**5 - 19*p**4 + 8*p**3 - 8*p**4 = 0.
0, 1/3
Let x = -7 - 1. Let a = -8 - x. Factor a*c + 0 - 1/4*c**3 - 1/4*c**2.
-c**2*(c + 1)/4
Factor -4/7*m**4 + 12/7*m**2 + 4/7*m**3 + 8/7 - 20/7*m.
-4*(m - 1)**3*(m + 2)/7
Let o(x) = 3*x - 57. Let g be o(20). Suppose 1/4*s**2 + 1/4*s - 1/4*s**g - 1/4 = 0. Calculate s.
-1, 1
Let t(q) be the second derivative of 3*q**5/130 + 5*q**4/78 - 16*q**3/39 - 12*q**2/13 - 39*q. Let t(b) = 0. Calculate b.
-3, -2/3, 2
Let r