d*(d + 1)*(4*d - 1)
Let t(k) = k**3 + 9*k**2 + 7*k - 6. Let x be t(-8). Let y be 4/10*(-10)/(-2). Let -3*p**3 + p**y + 5*p**3 + x - 3*p**2 - 2*p = 0. What is p?
-1, 1
Suppose -5*h + 1 = -9. Let 4*f**3 + 2*f - 3*f**4 + 4*f**4 + f**2 - 3*f**2 + 7*f**h = 0. What is f?
-2, -1, 0
Let t(z) be the second derivative of 3*z**6/20 + 3*z**5/16 - z**4/12 - z**3/6 - 7*z. Factor t(b).
b*(2*b - 1)*(3*b + 2)**2/4
Let a(l) be the first derivative of l**3/27 + l**2/18 - 2*l/9 - 7. Factor a(k).
(k - 1)*(k + 2)/9
Suppose 5*y + 3 = 6*y. Suppose 1 = -y*o + 10. Factor -2/7*x - 2/7*x**5 + 0 - 12/7*x**o + 8/7*x**4 + 8/7*x**2.
-2*x*(x - 1)**4/7
Let n = 111/10 + -717/70. What is j in -2/7*j**3 + 2/7*j - 6/7 + n*j**2 = 0?
-1, 1, 3
Factor 4/7*f**2 - 12/7 - 8/7*f.
4*(f - 3)*(f + 1)/7
Suppose -2*z - 4 = -5*u, -7*z = -8*z + 5*u - 7. Solve 0 + 0*h - 2/15*h**2 - 2/15*h**z = 0 for h.
-1, 0
Let g = 96 - 94. Let w(q) be the third derivative of 1/108*q**4 + 1/135*q**5 + 0*q**6 + 0*q - 1/1512*q**8 - 2*q**g + 0 - 2/945*q**7 + 0*q**3. Factor w(f).
-2*f*(f - 1)*(f + 1)**3/9
Suppose 0 = -4*d - 6 + 14. Determine j so that -1/5*j**d - 1/5*j + 1/5 + 1/5*j**3 = 0.
-1, 1
Let n = 277/2 - 827/6. Find j such that 2/3*j**2 - 4/3 + n*j = 0.
-2, 1
Let c(w) be the third derivative of 27*w**6/80 - 3*w**5/10 + w**4/12 - 2*w**2. Factor c(g).
g*(9*g - 2)**2/2
Factor 4*u**4 + 4/3 + 28/3*u**3 + 2/3*u**5 + 6*u + 32/3*u**2.
2*(u + 1)**4*(u + 2)/3
Let q(d) = -d**3 - 7*d**2 + 8*d + 3. Let c be q(-8). Let -3*x**5 + 3*x**2 - 6*x**3 - 3*x**4 + c + 21*x**3 + 9 - 24*x = 0. What is x?
-2, 1
Let o be (-12)/(-3) + (-25)/(100/8). Find s, given that 2/11*s + 2/11*s**o - 2/11*s**3 - 2/11 = 0.
-1, 1
Let b(u) be the third derivative of 0*u**4 + 2*u**2 - 1/50*u**5 + 0*u - 1/300*u**6 + 0 + 0*u**3. Factor b(k).
-2*k**2*(k + 3)/5
Factor 0*m + 1/8 - 1/8*m**2.
-(m - 1)*(m + 1)/8
Let g(y) be the second derivative of y**5/120 - y**4/24 - 5*y**2/2 - 7*y. Let h(c) be the first derivative of g(c). Factor h(a).
a*(a - 2)/2
Let u(h) be the first derivative of -h**3/2 + 3*h/2 + 11. What is m in u(m) = 0?
-1, 1
Let p(c) be the second derivative of -c**6/160 + c**5/30 - 7*c**4/96 + c**3/12 - c**2/2 - 8*c. Let y(m) be the first derivative of p(m). Factor y(v).
-(v - 1)**2*(3*v - 2)/4
Let d(g) be the third derivative of -1/36*g**4 + 1/315*g**7 - 1/45*g**5 + 0 - 1/504*g**8 + 0*g + 1/90*g**6 - 3*g**2 + 1/9*g**3. Solve d(b) = 0.
-1, 1
Let h(x) be the third derivative of 0*x**3 - 3*x**2 + 1/210*x**7 - 1/120*x**6 + 0*x + 0 + 1/24*x**4 - 1/60*x**5. Factor h(d).
d*(d - 1)**2*(d + 1)
Let t(d) be the second derivative of -11*d**4/42 + 13*d**3/21 - 2*d**2/7 - d. Factor t(f).
-2*(f - 1)*(11*f - 2)/7
Factor 18/5 + 6*n + 14/5*n**2 + 2/5*n**3.
2*(n + 1)*(n + 3)**2/5
Let h be (0 + -1)/((-1)/9). Let a be 12/h*(-9)/(-42). Factor 0 + 0*u**4 + 4/7*u**3 - 2/7*u**5 - a*u + 0*u**2.
-2*u*(u - 1)**2*(u + 1)**2/7
Let b(x) = 8*x**4 - 2*x**3 + 3*x**2. Let r(t) = -t**4 - t**3 - t**2. Let f(g) = b(g) + 3*r(g). Factor f(u).
5*u**3*(u - 1)
Factor 0 + 26/11*n**3 - 24/11*n**2 - 12/11*n**4 + 8/11*n + 2/11*n**5.
2*n*(n - 2)**2*(n - 1)**2/11
Let a(b) be the first derivative of b**3/12 - 5*b**2/8 + b - 12. Factor a(y).
(y - 4)*(y - 1)/4
Let b(r) be the third derivative of -r**5/20 - r**4/2 - 3*r**3/2 + 28*r**2. Factor b(x).
-3*(x + 1)*(x + 3)
Let 16/7*y + 2/7*y**2 + 32/7 = 0. Calculate y.
-4
Let y(b) be the second derivative of b**8/3360 + b**7/1260 - b**6/180 - b**4/12 + 3*b. Let i(r) be the third derivative of y(r). Factor i(h).
2*h*(h - 1)*(h + 2)
Let s(d) be the second derivative of d**3/6 - 3*d**2/2 - 2*d. Let p be s(3). Factor 2/7*q**5 + 0*q**2 + 0*q**3 + p*q + 2/7*q**4 + 0.
2*q**4*(q + 1)/7
Suppose -v - 3*v = -3*i - 13, 9 = -3*i. Let f(u) be the first derivative of -2/3*u**3 + 3/4*u**4 - v + 0*u + 0*u**2. Suppose f(b) = 0. Calculate b.
0, 2/3
Let l(n) be the first derivative of -n**4/8 + n**3/6 + n**2/4 - n/2 - 49. Factor l(u).
-(u - 1)**2*(u + 1)/2
Let r(l) be the second derivative of -l**4/8 - 3*l**3/2 - 27*l**2/4 + 19*l. Factor r(m).
-3*(m + 3)**2/2
Let q(z) be the third derivative of -z**7/105 + 3*z**2. Factor q(f).
-2*f**4
Suppose w - 1 = 0, r = -3*w - 2*w + 5. Let q(c) be the second derivative of 2/9*c**3 + 3*c + 0 + 7/60*c**5 - 4/9*c**4 + r*c**2. Factor q(t).
t*(t - 2)*(7*t - 2)/3
Let r(t) be the second derivative of t**4/42 - 2*t**3/21 - 3*t**2/7 - 12*t. Factor r(c).
2*(c - 3)*(c + 1)/7
Let h be 15/6*(-8)/(-5). Let l(n) = 2*n - 5. Let x be l(h). Factor 5*v**2 + v**2 + 4*v**x - v**3 + v**4 - 4*v**2.
v**2*(v + 1)*(v + 2)
Let l(n) = -3*n**2 + 5*n + 3. Let f(q) be the second derivative of -5*q**4/12 + 4*q**3/3 + 5*q**2/2 + q. Let u(y) = -5*f(y) + 8*l(y). Factor u(k).
(k - 1)*(k + 1)
Let g(o) be the first derivative of 1/12*o**6 + 1/6*o**3 + 0*o + 0*o**2 + 2 + 3/10*o**5 + 3/8*o**4. Find y such that g(y) = 0.
-1, 0
Let m(z) be the third derivative of -1/672*z**8 + 0*z - 1/420*z**7 + 0 + 0*z**5 + 0*z**4 + 0*z**3 + 0*z**6 + 2*z**2. Factor m(u).
-u**4*(u + 1)/2
Let i(p) be the first derivative of -p**8/840 - p**7/105 - p**6/60 + p**5/15 + p**4/3 - 2*p**3/3 - 1. Let h(x) be the third derivative of i(x). Factor h(d).
-2*(d - 1)*(d + 1)*(d + 2)**2
Let t be (-42)/(-12)*18/21. Let r(w) be the third derivative of 1/36*w**4 + 0*w + 0 - 1/180*w**5 - 1/18*w**t + w**2. Suppose r(v) = 0. Calculate v.
1
Let q(d) be the first derivative of -2*d**5/15 - 5*d**4/6 - 14*d**3/9 - d**2 + 13. Factor q(o).
-2*o*(o + 1)**2*(o + 3)/3
Let o be -2*(-1 + 1 - 1). Suppose -1 = 4*n + q, q + o = -5*n - q. Factor 1/2*d**4 + n + 0*d + 1/2*d**2 + d**3.
d**2*(d + 1)**2/2
Let u = -31 + 125/4. Factor -u*r**3 + 1/4*r**2 + 0 + 0*r.
-r**2*(r - 1)/4
Let b(v) = -v**3 + 11*v**2 + 12*v + 3. Let a be b(12). Factor t**4 - 2*t**a + 6 - 6.
t**3*(t - 2)
Let o(t) be the second derivative of t**5/10 - t**3 + 2*t**2 - 7*t. Solve o(d) = 0.
-2, 1
Let f(w) be the third derivative of -w**8/336 - 2*w**7/105 - w**6/120 + 7*w**5/30 + 5*w**4/6 + 4*w**3/3 - 6*w**2 + 4. Factor f(u).
-(u - 2)*(u + 1)**2*(u + 2)**2
Let g(f) = 5*f**4 - 15*f**3 - 24*f**2 - 4*f + 8. Let a(r) = -2*r**4 + 5*r**3 + 8*r**2 + r - 3. Let n(z) = 8*a(z) + 3*g(z). Factor n(s).
-s*(s + 1)*(s + 2)**2
Let p(a) be the third derivative of -a**9/15120 - a**4/8 - 4*a**2. Let n(u) be the second derivative of p(u). Factor n(q).
-q**4
Solve -8*o**5 + 13*o**5 - 3*o**5 - o**5 = 0 for o.
0
Suppose 4 = 3*i - i. Let v(b) be the second derivative of 2*b + 0*b**i + 0*b**3 + 0 - 1/2*b**5 - 1/3*b**4. Factor v(w).
-2*w**2*(5*w + 2)
Let y(u) = 3*u - 5. Let a be y(11). Let j be 7 - 11 - a/(-6). What is w in -j*w**3 + 0 + 2/3*w**2 + 0*w = 0?
0, 1
Let m(g) be the first derivative of 3*g**5/10 - g**3/2 + 18. Factor m(o).
3*o**2*(o - 1)*(o + 1)/2
Suppose 40*i = 51*i - 22. Factor 2*p - 4/3*p**i - 2/3.
-2*(p - 1)*(2*p - 1)/3
Let p = -26 - -29. Let f(l) be the third derivative of 0*l - 2*l**2 + 0 - 1/18*l**p + 1/36*l**5 + 1/36*l**4 - 1/60*l**6. Let f(z) = 0. Calculate z.
-1/2, 1/3, 1
Let u(a) = 4*a**4 - 9*a**3 + 6*a**2 + 5*a - 3. Let k(h) = h**4 - h**3 - h**2 - h + 1. Let r(x) = -3*k(x) - u(x). Suppose r(q) = 0. What is q?
-2/7, 0, 1
Let b be 5 + 7/49*-31. Factor -6/7*j - b - 2/7*j**2.
-2*(j + 1)*(j + 2)/7
Factor 3*k**3 + 14*k**2 + 9*k + 0*k**2 - 26*k**2.
3*k*(k - 3)*(k - 1)
Let i(t) be the third derivative of -2*t**5/15 - 13*t**4/12 - t**3 + 8*t**2. Let i(j) = 0. What is j?
-3, -1/4
Let v(g) be the first derivative of -18*g**5/5 - 21*g**4 - 26*g**3/3 + 84*g**2 - 72*g + 27. Factor v(m).
-2*(m + 3)**2*(3*m - 2)**2
Let b be -3 - -1 - (-28 - -24). Factor -4/5 + 2/5*j**b + 2/5*j.
2*(j - 1)*(j + 2)/5
Suppose 21*l + 15 = 26*l. Let h(t) be the second derivative of 0*t**l + 0*t**2 + 0 + 3*t + 1/12*t**4. Factor h(i).
i**2
Let u(i) = i**2 - 4*i + 2. Let v be u(4). Suppose 0 = t - 2 - v. Factor 4*p**2 - p**5 + t*p**3 + 2*p**3 - 4*p**3 - 5*p**5 - 8*p**4.
-2*p**2*(p + 1)**2*(3*p - 2)
Let b be ((-3)/4)/((-3)/(-225)). Let q = -56 - b. Factor 0 - 1/4*h + q*h**3 - 1/4*h**4 + 1/4*h**2.
-h*(h - 1)**2*(h + 1)/4
Let w(m) = m**2 - 2*m - 1. Let q(o) be the first derivative of -4*o**3/3 + 4*o**2 + 5*o + 1. Suppose 0*n + 8 = 4*n. Let t(r) = n*q(r) + 9*w(r). Factor t(j).
(j - 1)**2
Let g = -54 - -54. Let o(d) be the third derivative of 0*d**3 + 0*d + g + 0*d**6 + 0*d**4 - 1/630*d**7 + 1/180*d**5 + 2*d**2. L