-1, 1
Let n be ((-2)/(-6))/((-15)/90). Let x be -4 - n - -2 - -5. Suppose 0 - 1/4*t**x - 1/2*t**4 + 1/2*t**2 + 0*t**3 + 1/4*t = 0. Calculate t.
-1, 0, 1
Let n(m) = m**4 - m**3 - m. Let p(s) = -16*s**4 - 44*s**3 + 15*s**2 + 31*s + 10. Let g(i) = -4*n(i) + p(i). Suppose g(d) = 0. What is d?
-2, -1/2, 1
Suppose -4 = -3*w - 3*b + 2*b, 0 = 2*w - 3*b - 21. Let n(s) be the first derivative of 0*s**2 + 0*s - 2 + 1/18*s**4 - 2/27*s**w. Factor n(r).
2*r**2*(r - 1)/9
Let a(r) be the third derivative of 1/280*r**7 + 0 + 1/160*r**6 + 0*r + 0*r**3 - 6*r**2 + 0*r**4 + 0*r**5. Determine j, given that a(j) = 0.
-1, 0
Suppose 0 = 2*o + 2*o. Let s(d) be the first derivative of 0*d + 0*d**2 + 1/6*d**3 + o*d**4 - 1 - 1/10*d**5. Factor s(t).
-t**2*(t - 1)*(t + 1)/2
Let s = 3 + 2. Suppose 0*m + 2*m**3 - m**s + 0*m - m = 0. What is m?
-1, 0, 1
Suppose 75*z - 45*z - 90 = 0. Factor 1/4 + 3/8*g - 1/8*g**4 - 3/8*g**z - 1/8*g**2.
-(g - 1)*(g + 1)**2*(g + 2)/8
Let c = -115 - -115. Let o(r) be the third derivative of c + 1/525*r**7 + 1/1680*r**8 - 1/150*r**5 + 0*r**6 - 1/120*r**4 + 3*r**2 + 0*r**3 + 0*r. Factor o(s).
s*(s - 1)*(s + 1)**3/5
Factor -2/11*x**3 + 6/11*x + 4/11 + 0*x**2.
-2*(x - 2)*(x + 1)**2/11
Let l = 15 - 12. Solve -2/7 + 4/7*p**2 - 4/7*p**l - 2/7*p**4 + 2/7*p**5 + 2/7*p = 0.
-1, 1
Let a(g) be the third derivative of -1/300*g**5 - 1/900*g**6 - 2*g**2 + 0*g**4 + 0*g + 2/3*g**3 + 0. Let f(x) be the first derivative of a(x). Factor f(t).
-2*t*(t + 1)/5
Let c be 2 - (-1 + 0 - 2). Let k(n) be the third derivative of 0*n + 0 + 1/150*n**c + 0*n**3 + 1/60*n**4 - 2*n**2. Factor k(p).
2*p*(p + 1)/5
Let t = -1/44 - -97/396. Factor -t*p**4 + 4/9*p**3 - 8/9*p + 2/3*p**2 - 8/9.
-2*(p - 2)**2*(p + 1)**2/9
Let h be ((-18)/27)/(1/3). Let z be -4 - -1 - (-5 - h). Factor 0*y**2 + 21/4*y**5 + 0*y - y**3 + z + 2*y**4.
y**3*(3*y + 2)*(7*y - 2)/4
Let t(b) = -b**2 + 11*b + 28. Let l be t(13). Factor 0 + 7/3*o**l - 4/3*o**3 + 2/3*o.
-o*(o - 2)*(4*o + 1)/3
Let r = 27/112 + 19/16. What is k in -6/7*k**3 + 0 - r*k**2 - 4/7*k = 0?
-1, -2/3, 0
Suppose 6*x - 3*x - 15 = 0. Let -2*t**2 + 4 + 6*t + 0*t**2 - 3 - x = 0. Calculate t.
1, 2
Suppose -o + 4*o = 18. Let r(k) = 4*k**3 - 3*k**2 + 5. Let d(p) = p**3 - p**2 + p + 1. Let h(v) = o*d(v) - 2*r(v). Factor h(n).
-2*(n - 1)**2*(n + 2)
Factor 24/7*m**3 + 48/7 + 3/7*m**4 + 72/7*m**2 + 96/7*m.
3*(m + 2)**4/7
Let w(g) be the first derivative of -33/2*g**2 - 5 - 6*g - 21/4*g**4 - 16*g**3. Factor w(m).
-3*(m + 1)**2*(7*m + 2)
Let p(z) = z**2 + 5*z + 6. Let x be p(-1). Factor -j**x + 0 + j**3 + 1/3*j - 1/3*j**4.
-j*(j - 1)**3/3
Let p be 0 - (-3 - (2 + (-5 - -2))). Suppose 0 + 2/3*q + 0*q**p - 2/3*q**3 = 0. Calculate q.
-1, 0, 1
Suppose -c**3 + c**5 - c**4 - 1076 + c**2 + 1076 = 0. What is c?
-1, 0, 1
Let q(m) be the first derivative of 3*m**4/4 - 19*m**3/7 - 9*m**2/7 + 40. Solve q(v) = 0 for v.
-2/7, 0, 3
Let f(k) = -2*k**2 + 2*k - 3. Let y(l) = -3*l**2 + 5*l - 3*l - 5 + 3*l - 2*l. Let x(o) = -10*f(o) + 6*y(o). Factor x(i).
2*i*(i - 1)
Let q(k) = -3*k**2 - 6*k - 6. Let g(i) = 1. Let s(z) = -2. Let a(w) = -7*g(w) - 4*s(w). Let r(t) = -6*a(t) - q(t). Factor r(c).
3*c*(c + 2)
Let i(l) be the third derivative of l**5/100 + l**4/30 - 15*l**2. Solve i(o) = 0 for o.
-4/3, 0
Let i(g) be the third derivative of g**5/10 + 11*g**4/24 - 29*g**3/6 - 5*g**2. Let y(l) = 11 - 2*l**2 + 4 - 5 - 4*l. Let c(a) = -6*i(a) - 17*y(a). Factor c(s).
-2*(s - 2)*(s + 1)
Solve -15*p**5 + 10*p + 1 - 35*p**2 + 5 + 35*p**4 + 5*p**3 - 6 = 0 for p.
-1, 0, 1/3, 1, 2
Let q(k) be the first derivative of -k**5/20 - k**4/8 + k**2/4 + k/4 + 7. Find a such that q(a) = 0.
-1, 1
Let g be (1 + -2)*(6 - 4). Let f be g/(-6) - 0/(-6). Factor f*c + 0 + 1/3*c**2.
c*(c + 1)/3
Let o = -645 + 3229/5. Find x, given that -o*x**5 + 4/5 + 4/5*x**4 + 8/5*x**3 - 8/5*x**2 - 4/5*x = 0.
-1, 1
Solve -2592/5*o + 3/5*o**4 + 3888/5 + 648/5*o**2 - 72/5*o**3 = 0 for o.
6
Suppose 10 = -0*s + 2*s. Suppose 4*c = -s*q + 28, -c = 2*q - 3*q + 2. Factor -4 - 3*a + 0*a**2 - 3*a - c*a**2.
-2*(a + 1)*(a + 2)
Let w(p) be the second derivative of p**7/42 - p**5/20 - 4*p. What is q in w(q) = 0?
-1, 0, 1
Suppose 0*y + 6 = 3*y. Let m be (-10)/(-6) + (-4)/(-12). Factor m*z - 2*z**3 - z**2 + z**y.
-2*z*(z - 1)*(z + 1)
Let l be (-2)/((-8)/(-6)) - (0 + -2). Find t such that 3/4 - 1/4*t**2 + l*t = 0.
-1, 3
Let p(g) be the second derivative of -g**4/24 - g**3/3 - 3*g**2/4 + 6*g. Let p(x) = 0. What is x?
-3, -1
Let f(h) be the first derivative of 2*h**5/3 + h**4/4 - 2*h**3/3 + 2*h**2 + 1. Let t(k) be the second derivative of f(k). Factor t(v).
2*(4*v - 1)*(5*v + 2)
Find j, given that 80/7*j + 12/7*j**2 + 2/7*j**4 - 16/7*j**3 + 50/7 = 0.
-1, 5
Let v(y) be the third derivative of -y**7/210 - y**6/160 + 3*y**5/80 - y**4/48 - 4*y**2. Suppose v(o) = 0. Calculate o.
-2, 0, 1/4, 1
Solve 9 + 15*x + 0*x + x**3 + 0*x + 7*x**2 + 0*x**3 = 0 for x.
-3, -1
What is v in 1/3*v**2 + 0 - 4/3*v = 0?
0, 4
Let j = 12 + -5. Determine h so that -4*h**3 + 7*h**3 - j*h**2 + 4*h**2 = 0.
0, 1
Suppose 11*d - 8*d + 12 = f, 9 = -3*d. Suppose -2/13*p**2 + 0*p + 0 + 2/13*p**f = 0. What is p?
0, 1
Let p(a) be the third derivative of a**8/672 + a**7/420 - a**6/80 - a**5/24 - a**4/24 + 2*a**2. Factor p(x).
x*(x - 2)*(x + 1)**3/2
Suppose -1 = 3*x - 4*q + 12, -4*x = -q. Let n be (x - -4)*(-16)/(-90). Factor -8/9*l + n + 2/9*l**2.
2*(l - 2)**2/9
Let o(d) = -4*d + 8 + 8*d**2 - 2*d + 22*d. Let b(i) = -i**2 - 2*i - 1. Let p(l) = -51*b(l) - 6*o(l). What is x in p(x) = 0?
-1
Let f(v) = -v**3 + 5*v**2 + 6*v + 6. Let r be f(6). Let q = 9 - r. Suppose -10/9*o**2 - 16/9*o - 8/9 - 2/9*o**q = 0. What is o?
-2, -1
Suppose -6*s = -2*s - 12. Suppose 2*b**2 + 2*b**4 + 5*b**3 + b**s - 6*b + 0*b**2 - 4 = 0. Calculate b.
-2, -1, 1
Let b(z) be the second derivative of 23/20*z**5 + 3*z + 0 - 8/21*z**7 - 7/12*z**4 - 7/6*z**3 + 4/15*z**6 - 1/2*z**2. Suppose b(q) = 0. What is q?
-1, -1/4, 1
Let t = -1352 - -162241/120. Let h(b) be the third derivative of t*b**5 - 3*b**2 + 0*b + 1/16*b**4 + 0 + 1/6*b**3. Factor h(k).
(k + 1)*(k + 2)/2
Suppose 0 = 5*f - 10*f + 10. Let i(q) be the second derivative of -1/48*q**4 + 0*q**3 + 0*q**2 - f*q + 0. Factor i(d).
-d**2/4
Let j(b) = b**3 - 2*b**2 + 5*b - 4. Let s(k) = k**3 - 2*k**2 + 6*k - 5. Let r(h) = -5*j(h) + 4*s(h). Factor r(o).
-o*(o - 1)**2
Determine p so that -12*p**3 + 15*p**2 + 2*p**3 - 4*p**4 - 11*p**4 + 7*p + 3*p = 0.
-1, -2/3, 0, 1
Determine k so that 18/7*k**2 - 2/7 + 22/7*k**3 + 2/7*k + 8/7*k**4 = 0.
-1, 1/4
Let c(f) = -f**2 + 5*f - 4. Let j be c(3). Let y(s) be the third derivative of 0*s - s**j + 0 + 0*s**3 + 1/150*s**5 - 1/300*s**6 + 0*s**4. Factor y(n).
-2*n**2*(n - 1)/5
Let i(y) be the third derivative of y**6/600 + y**5/75 + y**4/40 + 2*y**2. Solve i(g) = 0.
-3, -1, 0
Let n(u) be the first derivative of u**6/900 - u**4/180 - 5*u**2/2 + 5. Let w(f) be the second derivative of n(f). Suppose w(q) = 0. What is q?
-1, 0, 1
Let f(z) be the second derivative of -z**4/48 + z**2/8 - 49*z. Factor f(b).
-(b - 1)*(b + 1)/4
Suppose -7*i + 15 = -2*i. Suppose 5*y = -2*h + 20, 0 = 4*y - i*h + 3 - 19. Factor 1/4*d**3 - 1/4*d**y + 0*d + 0 + 0*d**2.
-d**3*(d - 1)/4
Suppose 0*u = 3*u - 5*r + 4, 5*u + 4*r - 18 = 0. Let -k**3 - 6 - 2*k**2 - 3*k**2 - k**u - 2 - 12*k = 0. Calculate k.
-2
Suppose -s + 9 = 2*s. Let 4*g**5 + 5 - 6 + 2*g**2 + 0 - g**4 + 4*g - 8*g**s + 0 = 0. What is g?
-1, 1/4, 1
Let b be (40/8 - 5)/((-3)/(-3)). Factor -24/7*i**2 + b + 10/7*i**3 + 8/7*i.
2*i*(i - 2)*(5*i - 2)/7
Let j(k) be the first derivative of 4*k**5/5 - k**4 - 4*k**3 + 2*k**2 + 8*k - 1. Factor j(p).
4*(p - 2)*(p - 1)*(p + 1)**2
Let d = 335/4 - 83. Let 0*j - d*j**4 + j**3 + 0 - 1/4*j**2 = 0. Calculate j.
0, 1/3, 1
Factor 12/5*y**3 + 27/5 - 36/5*y - 6/5*y**2 + 3/5*y**4.
3*(y - 1)**2*(y + 3)**2/5
Let v be (9/(-6))/(2/(-4)). Factor -29*x + 2*x**2 - 9 - v*x**2 + 23*x.
-(x + 3)**2
Factor 0 - 4/19*c**2 - 2/19*c - 2/19*c**3.
-2*c*(c + 1)**2/19
Let z(m) be the first derivative of -m**9/3024 + m**8/840 + m**7/840 - m**6/180 + m**3/3 - 4. Let f(s) be the third derivative of z(s). Factor f(u).
-u**2*(u - 2)*(u - 1)*(u + 1)
Let b(y) be the second derivative of 2*y**7/21 - 2*y**6/15 - 3*y**5/5 + 5*y**4/3 - 4*y**3/3 - 23*y. Factor b(o).
4*o*(o - 1)**3*(o + 2)
Factor 0*i - 4/3*i**2 + 4/3.
-4*