+ 6*h(p). Let i be q(-9). Factor 2 + i*r + 2 + 3*r**2 - 3*r.
(r + 2)*(3*r + 2)
Let n be (-2)/(-2)*(-1 + (5 - 4)). Let 0*o + 1/2*o**5 + n + 1/2*o**4 + 0*o**3 + 0*o**2 = 0. What is o?
-1, 0
Let j(a) be the third derivative of 3*a**2 + 1/12*a**4 - 2/15*a**3 + 0 + 0*a - 1/50*a**5. Factor j(q).
-2*(q - 1)*(3*q - 2)/5
Let c be (0 + 0)/(-1) - -6. Let p = c - 4. Let 0*x**2 - x**p + 4*x - 5*x = 0. Calculate x.
-1, 0
Let f(o) be the third derivative of o**7/42 + o**6/12 + o**5/12 + 18*o**2. Factor f(j).
5*j**2*(j + 1)**2
Let x(t) be the third derivative of 2*t**7/105 - t**5/5 - t**4/3 - 4*t**2. Factor x(v).
4*v*(v - 2)*(v + 1)**2
Let 8/3*y + 4/3 + 4/3*y**2 = 0. What is y?
-1
Let y = 4 + -14. Let b be (-46)/y + (-3)/5. Suppose -b*h + 3*h**2 - h**4 - 2 + 2*h + 0*h**4 + h + h**3 = 0. What is h?
-1, 1, 2
Let v = -236 - -2126/9. Factor v*c - 2/9*c**4 + 2/9*c**5 - 2/9 - 4/9*c**3 + 4/9*c**2.
2*(c - 1)**3*(c + 1)**2/9
Let j = 5 + -5. Let d(v) be the second derivative of v + j + 0*v**2 + 1/24*v**3 - 1/48*v**4. Factor d(g).
-g*(g - 1)/4
Let u(j) be the first derivative of -2*j**3/21 - 4*j**2/7 - 8*j/7 - 1. Factor u(s).
-2*(s + 2)**2/7
Let b be -4 + 4 + 8/20. Suppose 8/5*v + 8/5*v**2 + b*v**5 - 6/5*v**3 - 4/5*v**4 + 0 = 0. Calculate v.
-1, 0, 2
Let x be 22/330*((-14)/(-6) - -1). Suppose x*m**2 + 2/3*m + 4/9 = 0. What is m?
-2, -1
Let f(l) be the second derivative of 0*l**2 - 1/16*l**4 + 0*l**5 + 0*l**3 + 0 + l + 1/40*l**6. Determine s so that f(s) = 0.
-1, 0, 1
Let m(r) = r**3 - 8*r**2 + 5*r + 4. Let f be m(7). Let g = 13 + f. Determine i so that -1/2 + 7/4*i - 7/4*i**g + 1/2*i**2 = 0.
-1, 2/7, 1
Suppose 4*d = -2*d. What is s in 1/5*s**5 + 0 + 2/5*s**4 + 0*s + d*s**2 + 1/5*s**3 = 0?
-1, 0
Suppose -16 = -4*t - 0. Let w(r) be the first derivative of 2 + r**t - 2*r + 2/5*r**5 + 0*r**3 - 2*r**2. Suppose w(z) = 0. Calculate z.
-1, 1
Let f(c) be the first derivative of c**6/24 - c**5/10 - c**4/16 + c**3/6 + 18. Factor f(w).
w**2*(w - 2)*(w - 1)*(w + 1)/4
Let 2*c**2 - 8/3*c + 2/3 = 0. What is c?
1/3, 1
Let r(q) be the third derivative of 0*q**5 + 1/105*q**7 + 0*q**4 + 0*q + 0*q**3 + 0 + q**2 + 1/60*q**6. Factor r(a).
2*a**3*(a + 1)
Let t(p) be the second derivative of -7/24*p**4 + 0*p**2 + 1/6*p**3 - 1/20*p**5 - p + 0 + 7/60*p**6. Factor t(s).
s*(s - 1)*(s + 1)*(7*s - 2)/2
Let b = -363 + 367. Find w such that 0*w + 0 - 10/3*w**b + 0*w**2 + 1/3*w**3 + 25/3*w**5 = 0.
0, 1/5
Suppose -4*q + 8*q = 0. Let u(n) be the first derivative of -1/3*n**2 - 2/3*n**3 - 1 + q*n - 2/15*n**5 - 1/2*n**4. What is j in u(j) = 0?
-1, 0
Factor -1/7*b**2 + 0 - 1/7*b**4 + 0*b + 2/7*b**3.
-b**2*(b - 1)**2/7
Let x(h) be the second derivative of h**7/168 + h**6/120 - 3*h**5/40 + h**4/24 + 5*h**3/24 - 3*h**2/8 + 7*h. Let x(r) = 0. Calculate r.
-3, -1, 1
Suppose 5*c = -24 - 6. Let y be (-11)/c + 3/18. Factor h**2 - 1 + 2*h + 0*h**2 + 0*h**2 + y.
(h + 1)**2
Factor 24/5*w**3 + 3/5*w**4 + 0*w - 81/5 + 54/5*w**2.
3*(w - 1)*(w + 3)**3/5
Let j(k) be the first derivative of k**4 + 20*k**3 + 150*k**2 + 500*k + 19. Find d such that j(d) = 0.
-5
Let u be 1 - 0 - (-4)/(-7). What is p in -6/7 + 9/7*p**2 - u*p**4 + 3/7*p - 3/7*p**3 = 0?
-2, -1, 1
Let q(j) be the first derivative of -j**4/6 - 2*j**3/15 - 2*j + 2. Let i(r) be the first derivative of q(r). What is z in i(z) = 0?
-2/5, 0
Factor -16/7 - 4/7*m**3 - 20/7*m**2 - 32/7*m.
-4*(m + 1)*(m + 2)**2/7
Let r(w) be the first derivative of w**3/3 - w**2 - w + 1. Let n be r(3). Suppose 0*d**2 + 2*d**n - 1 - d**2 = 0. Calculate d.
-1, 1
Factor 1/4*s**2 - 1/2 - 1/4*s.
(s - 2)*(s + 1)/4
Let w = 4/3 - 7/6. Let o(k) be the second derivative of 0*k**3 + 0*k**2 - 1/2*k**5 - 7/15*k**6 - w*k**4 + 0 - 1/7*k**7 + 2*k. Factor o(p).
-2*p**2*(p + 1)**2*(3*p + 1)
Let l(w) = 31*w + 2. Let m be l(1). What is x in -21*x**2 + 0*x**5 + 3*x**5 + 3*x - 6*x**3 - 6*x**4 + m*x**2 - 6 = 0?
-1, 1, 2
Factor -2/7*x**3 + 2/7*x + 0*x**2 + 0.
-2*x*(x - 1)*(x + 1)/7
Suppose 5*l = -39 + 174. Let 27*w**2 + 2*w**3 - l*w**2 - 2*w = 0. Calculate w.
-1, 0, 1
Factor 4/9 + 14/3*n**2 + 10/9*n**4 + 22/9*n + 34/9*n**3.
2*(n + 1)**3*(5*n + 2)/9
Let l(d) = -d**3 - d**2 - d + 1. Let a(p) = -4*p**4 + 2*p**3 - 6*p**2 - 14*p + 10. Let n(h) = a(h) - 6*l(h). Factor n(y).
-4*(y - 1)**3*(y + 1)
Let b(m) be the third derivative of -m**8/1920 + m**7/315 - 11*m**6/1440 + m**5/120 - m**4/12 - 3*m**2. Let f(t) be the second derivative of b(t). Factor f(k).
-(k - 1)**2*(7*k - 2)/2
Find s, given that 8*s**3 - 103*s**2 + 103*s**2 - 5*s**4 + s**4 - 4*s**5 = 0.
-2, 0, 1
Let b(g) = -2*g**5 + 10*g**4 + 12*g**3 - 16*g**2 - 4*g. Let s(o) = 3*o**5 - 10*o**4 - 11*o**3 + 15*o**2 + 3*o. Let q(a) = 5*b(a) + 6*s(a). Solve q(f) = 0.
-1, 0, 1/4, 1
Let q(b) be the first derivative of b**6/27 + 4*b**5/45 + b**4/18 - 34. Factor q(c).
2*c**3*(c + 1)**2/9
Let o(f) be the second derivative of f**5/35 + 13*f**4/42 + 22*f**3/21 + 8*f**2/7 - 18*f - 3. Find b such that o(b) = 0.
-4, -2, -1/2
Let y(k) be the second derivative of -k**10/136080 + k**4/6 - 2*k. Let o(i) be the third derivative of y(i). Factor o(t).
-2*t**5/9
Factor 16/3*r**2 - 4*r**3 + 2/3*r**4 - 6 + 4*r.
2*(r - 3)**2*(r - 1)*(r + 1)/3
Suppose -14*x**2 + 7*x**2 - 4*x**4 - 9*x**3 + 9*x + 4*x**2 + 7*x**4 = 0. What is x?
-1, 0, 1, 3
Let x(w) be the second derivative of w**5/90 - w**4/12 + 2*w**3/9 + w**2/2 - 2*w. Let r(p) be the first derivative of x(p). Solve r(o) = 0 for o.
1, 2
Let v(y) be the third derivative of y**7/1680 + y**6/240 - y**4/12 + y**3/3 - 8*y**2. Let s(h) be the first derivative of v(h). Find x such that s(x) = 0.
-2, 1
Let s = -1054 - -5273/5. Determine j so that 6/5 - s*j**2 - 3/5*j = 0.
-2, 1
Let c(v) = -2*v**2 - 1. Let r(z) = 3*z**2 + 1. Let m(x) = -4*c(x) - 3*r(x). Factor m(g).
-(g - 1)*(g + 1)
Let r(c) be the second derivative of c**5/5 - c**4/3 - 2*c**3/3 + 2*c**2 + 4*c - 6. Determine s so that r(s) = 0.
-1, 1
Let t = 7 + -11. Let c be 0 + 1 + (-3 - t). Factor 6*z**2 - 2*z**2 + 2*z - 3*z**c + 1.
(z + 1)**2
Suppose -13*i - x = -11*i, -4*x = 3*i. Solve -4/5*w**3 + 0 - 14/5*w**4 + i*w**2 + 0*w = 0 for w.
-2/7, 0
Let r(x) be the third derivative of x**5/60 + 5*x**4/12 + 25*x**3/6 + 7*x**2. Suppose r(a) = 0. Calculate a.
-5
Suppose 0 = -8*g + 6*g + 4. Factor 4*p + 6 - g - 4*p**3 - 8*p**2 - 4*p**3 + 0 + 4*p**4 + 4*p**5.
4*(p - 1)**2*(p + 1)**3
Let c(p) be the third derivative of 3*p**8/280 - 29*p**7/525 + 2*p**6/25 - 2*p**5/75 + 55*p**2. Determine k so that c(k) = 0.
0, 2/9, 1, 2
Let h(i) = -11*i - 3. Let s be h(-2). Suppose -3 = 4*d - s. Factor -1 + 2 - v**d + 4*v**3 - 2*v - 2*v**3.
-(v - 1)**3*(v + 1)
Let x = 17 + -15. Suppose 0*n**x - 12 - 3*n**2 + 21*n - 9*n = 0. What is n?
2
Suppose -23*u + 8 = -21*u. Suppose u*p - 2*r + 2 = 0, 12 = -2*p + 4*r - 4. Let 0*c + 0 - 1/4*c**4 + 0*c**3 + 1/4*c**p = 0. Calculate c.
-1, 0, 1
Let a be 66/15 - (5 - 1). Let c be -4*((-11)/10 + 0 + 1). Determine f so that -4/5*f**3 + 4/5*f**2 + c*f**5 - 2/5 + a*f - 2/5*f**4 = 0.
-1, 1
Suppose -g - 4*g = -55. Suppose -g = -3*a + j, 5 + 9 = 2*a + j. Let -2*b**a + 0*b**3 + b**3 + 3*b**5 + 2*b**4 = 0. What is b?
-1, 0
Let b(q) be the second derivative of q**6/30 + q**5/5 + q**4/2 + 2*q**3/3 + q**2/2 + 13*q. Factor b(f).
(f + 1)**4
Let p(l) = -4*l**3 - 4*l - 4. Let x(y) = -4*y**3 + y**2 - 3*y - 3. Let o(m) = 3*p(m) - 4*x(m). Factor o(t).
4*t**2*(t - 1)
Factor -128*s + s**2 + 131*s - 7*s**2 + 3*s**3.
3*s*(s - 1)**2
Let y(n) = -8*n**2 - 36*n - 8. Let v(g) = -g**2 - 5*g - 1. Let o = -8 + 5. Let t(z) = o*y(z) + 20*v(z). Factor t(r).
4*(r + 1)**2
Find w such that 0*w + 2*w**2 + w + 3*w**2 - 4*w**2 = 0.
-1, 0
Let a(y) be the third derivative of 0*y**3 + 0 + 0*y - 1/10*y**5 - 1/12*y**4 + 4*y**2. Factor a(b).
-2*b*(3*b + 1)
Let v(o) be the first derivative of -2*o**5/45 + 5*o**4/18 - 14*o**3/27 + o**2/3 - 3. Suppose v(q) = 0. What is q?
0, 1, 3
Let d = 5/24 + -1/12. Let q(v) be the first derivative of 1/6*v**3 - 1/10*v**5 + 0*v - 1/4*v**2 - 2 + d*v**4. Factor q(p).
-p*(p - 1)**2*(p + 1)/2
Let m(a) be the second derivative of a**6/70 - 2*a**5/35 + a**4/84 + 4*a**3/21 - 2*a**2/7 + 43*a. Determine i so that m(i) = 0.
-1, 2/3, 1, 2
Suppose a + 36 = 4*a. Let i = -7 + a. Factor 0*o - 1/2*o**3 + 0 + 7/4*o**i + 5/4*o**4 + 0*o**2.
o**3*(o + 1)*(7*o - 2)/4
Let u(t) be the second derivative of -t**7/21 + 2*t**6/3 