or 1/4*s**3 + 0 - 1/4*s**2 + 1/4*s**q - 1/4*s.
s*(s - 1)*(s + 1)**2/4
Factor -1/3*v**4 + 0*v + 0 + 0*v**2 + v**3.
-v**3*(v - 3)/3
Let c be (1 - -1)/((-8)/80). Let b = c - -22. Suppose 2/11*h**b + 0 - 4/11*h + 2/11*h**3 = 0. Calculate h.
-2, 0, 1
Suppose 1/6*c**2 + 8/3 + 4/3*c = 0. Calculate c.
-4
Let z = 52 + -48. Let j be (4 + 0 - 0)/1. Factor s**z - s**4 + s**j - s**5.
-s**4*(s - 1)
Let v(y) be the third derivative of y**8/560 + 4*y**7/525 + y**6/100 - y**4/120 + 21*y**2. Factor v(r).
r*(r + 1)**3*(3*r - 1)/5
Factor 15*k**4 + 0*k**2 + 3*k**2 - 18*k**4 + 9*k**4 + 9*k**3.
3*k**2*(k + 1)*(2*k + 1)
Let g(w) be the second derivative of w**6/30 - 3*w**5/20 + w**4/6 + 6*w. What is z in g(z) = 0?
0, 1, 2
Let t(g) be the first derivative of g**8/840 - g**7/140 + g**6/60 - g**5/60 + g**3/3 + 6. Let l(w) be the third derivative of t(w). Factor l(r).
2*r*(r - 1)**3
Let w be ((-3 - -4)/(-7))/((-8)/16). Factor -w*g + 0*g**2 + 0 + 2/7*g**3.
2*g*(g - 1)*(g + 1)/7
Suppose 2*o - 4*n + n = 9, 5*n + 15 = 0. Solve 0 + o*c - 3/4*c**3 - 7/4*c**5 + 3*c**4 - 1/2*c**2 = 0 for c.
-2/7, 0, 1
Let b(y) be the first derivative of -121*y**6/180 + 11*y**5/15 - y**4/3 - 5*y**3/3 + 2. Let r(k) be the third derivative of b(k). What is u in r(u) = 0?
2/11
Suppose -3*p - 8 + 2 = 0. Let t(b) = -b**2 - 2*b - 3. Let h(x) = -5 + 3 + 1. Let o(w) = p*t(w) + 4*h(w). What is n in o(n) = 0?
-1
Let k = -19/3 - -145/21. Determine w so that 0 + 2*w**3 + k*w + 18/7*w**2 = 0.
-1, -2/7, 0
Let g(c) = c + 7. Suppose 13 = -2*m + 35. Let d be g(m). Factor -d*r**3 + 0 + 46/3*r**4 - 4/3*r + 26/3*r**2 - 14/3*r**5.
-2*r*(r - 1)**3*(7*r - 2)/3
Suppose -31*c**2 + 21/2*c**3 + 22*c - 4 = 0. Calculate c.
2/7, 2/3, 2
Suppose 0 = -52*y + 48*y + 8. Let h(u) be the second derivative of -1/6*u**4 + 0*u**3 - 1/5*u**5 - 1/15*u**6 + 0 - 4*u + 0*u**y. Factor h(p).
-2*p**2*(p + 1)**2
Let n(q) = -2*q**4 + q**2 + 3*q + 1. Let y(g) = -2*g**4 + 2*g**2 + 2*g. Let r(w) = -2*n(w) + 3*y(w). Factor r(p).
-2*(p - 1)**2*(p + 1)**2
Factor -1/4*y**3 - 5/4*y**2 - 1 - 2*y.
-(y + 1)*(y + 2)**2/4
Suppose 2*i**4 + 2/3*i + 0 - 2/3*i**3 - 2*i**2 = 0. What is i?
-1, 0, 1/3, 1
Let o(z) = -4*z**3 - 15*z**2 - 5*z. Let j(f) = 4*f**3 + 16*f**2 + 4*f. Let q(l) = 3*j(l) + 4*o(l). Factor q(y).
-4*y*(y + 1)*(y + 2)
Suppose -142 = 4*n - g, 9*n + 2*g = 4*n - 184. Let l = -143/4 - n. Determine d, given that l - 1/4*d**2 - 1/4*d + 1/4*d**3 = 0.
-1, 1
Let c(h) = -h**3 - 11*h**2 + 13*h + 15. Let n be c(-12). Factor 4/13*z + 2/13*z**n - 6/13*z**2 + 0.
2*z*(z - 2)*(z - 1)/13
Let -27*q**2 + 6*q - 9 + 56*q**2 - 30*q**2 = 0. Calculate q.
3
Let w(q) = -q. Let s(y) = y**2 - 15*y - 3. Let g(n) = -s(n) + 6*w(n). Let b be g(9). Let 1/2*r**4 - r**2 + 1/2*r**5 - r**b + 1/2 + 1/2*r = 0. What is r?
-1, 1
Let w(x) be the first derivative of -4*x**5/35 + x**4/7 + 16*x**3/21 - 8*x**2/7 + 5. Find b such that w(b) = 0.
-2, 0, 1, 2
Factor -19*g**2 + 33*g - 36 + 11*g**2 + 11*g**2.
3*(g - 1)*(g + 12)
Let j(m) be the second derivative of m + 7/15*m**6 + 1/2*m**4 + 0 + 0*m**2 + 6/5*m**5 - 2/3*m**3. Let j(l) = 0. What is l?
-1, 0, 2/7
Let l = 116 - 3131/27. Let y(z) be the third derivative of l*z**3 + 0*z + 1/270*z**5 - 1/54*z**4 + 0 + z**2. Suppose y(d) = 0. Calculate d.
1
Find o such that 2*o**3 - 5*o + 6 + o + 2*o - 6*o**2 = 0.
-1, 1, 3
Let 0*p**3 - 2/9 + 0*p + 4/9*p**2 - 2/9*p**4 = 0. Calculate p.
-1, 1
Let u(c) be the third derivative of c**8/448 + c**7/70 + c**6/40 - c**5/40 - 5*c**4/32 - c**3/4 - 2*c**2. Factor u(x).
3*(x - 1)*(x + 1)**3*(x + 2)/4
Factor 12*p**3 - 15*p**2 - 27*p**2 + 20*p**4 + 11*p**2 - 17*p**2 + 16*p.
4*p*(p - 1)*(p + 2)*(5*p - 2)
Factor 0*h**4 - 2*h**5 + h**4 + h**4.
-2*h**4*(h - 1)
Let p(v) = 2*v - 7. Let f be p(6). Let i = -5 + f. Factor i - 4/3*t - 2/3*t**2 + 2/3*t**3.
2*t*(t - 2)*(t + 1)/3
Let h(d) be the first derivative of -2*d**3/33 + d**2/11 + 8. Solve h(o) = 0.
0, 1
Let n(g) be the second derivative of g**8/10080 - g**7/1890 + g**6/1080 - g**4/4 + 2*g. Let j(c) be the third derivative of n(c). Factor j(r).
2*r*(r - 1)**2/3
Let j = -303/4 - -76. Let d(w) be the first derivative of j*w + 0*w**2 + 2 - 1/12*w**3. Factor d(a).
-(a - 1)*(a + 1)/4
Let a = 22324/3 + -7375. Let l = 67 - a. What is q in l*q**2 - 2*q + 4/3 = 0?
1, 2
Let z = -12 + 9. Let a be z/15 + (-8)/(-15). Let 2/3 - 1/3*d**2 + a*d = 0. What is d?
-1, 2
Let l(t) be the third derivative of -t**7/420 + t**6/60 - t**5/24 + t**4/24 + 4*t**2. Factor l(s).
-s*(s - 2)*(s - 1)**2/2
Let p be ((-117)/(-30) + -4)*-4. Solve 0 + 4/5*a - p*a**3 + 2/5*a**2 = 0.
-1, 0, 2
Solve 0*w**2 - 357 - 5*w**2 + 5*w**3 + 357 = 0 for w.
0, 1
Factor -2*y**2 + 2*y**2 - 21 - 27 - 24*y - 3*y**2.
-3*(y + 4)**2
Let h = -113/5 - -23. Suppose 0*p - 2/5*p**3 + 0 + 2/5*p**2 - h*p**4 + 2/5*p**5 = 0. What is p?
-1, 0, 1
Let f(a) be the first derivative of -a**4/24 + 5*a**3/18 + a**2/12 - 5*a/6 + 14. Let f(h) = 0. What is h?
-1, 1, 5
Let q be 19 - (-1)/(-2)*2. Suppose 5*c - 2 = q. Solve -5/2*r**2 + 5/2*r**c - r**3 + r + 0 = 0 for r.
-1, 0, 2/5, 1
Let j(a) be the second derivative of -a**7/42 + a**6/30 + a**5/10 - a**4/6 - a**3/6 + a**2/2 + 19*a. Factor j(w).
-(w - 1)**3*(w + 1)**2
Let a be ((-5)/(-27))/(12/9). Let l = 47/180 + a. Solve 2/5*c + 0 - l*c**2 = 0 for c.
0, 1
Let h(m) = 6*m**3 + m**2 - 5*m + 7. Let v(o) = -o**3 + o - 1. Let d(b) = -2*h(b) - 14*v(b). Let d(t) = 0. Calculate t.
-1, 0, 2
Let z be 1 + 1 + -3 - 2. Let w = -1 - z. Suppose 7 - 7 + 4*j - w*j**2 = 0. What is j?
0, 2
Factor 10/7*o**2 + 2/3*o + 2/21 + 6/7*o**3.
2*(o + 1)*(3*o + 1)**2/21
Suppose a + 5*j - 12 = 0, 0*a + 4*j - 18 = -5*a. Determine z so that -z**2 + z**4 + z**a - z**3 + z**2 - z**3 = 0.
0, 1
Find t, given that 21/2*t**3 + 6 + 69/2*t**2 + 30*t = 0.
-2, -1, -2/7
Let p(f) = 9*f**2 + 24*f + 12. Let d(k) = -9*k**2 - 24*k - 12. Let x(g) = 5*d(g) + 6*p(g). What is z in x(z) = 0?
-2, -2/3
Let a be 1*((-63)/16 - -4). Let k(h) be the third derivative of 0*h + 1/12*h**3 + 0 - 1/240*h**6 + 1/40*h**5 - a*h**4 + 2*h**2. Let k(t) = 0. Calculate t.
1
Find r such that 0 + 20/3*r**3 - 8/3*r**5 + 0*r - 4/3*r**4 - 8/3*r**2 = 0.
-2, 0, 1/2, 1
Suppose f + 8 = -f, -5*z + 4*f + 31 = 0. Let h(c) be the second derivative of 0*c**2 + 1/24*c**4 + 0 + c + 1/12*c**z. Solve h(d) = 0.
-1, 0
Let y(j) be the second derivative of j**5/10 - j**4/3 + j**3/3 + 6*j. Factor y(k).
2*k*(k - 1)**2
Let n = -4 + 8. Determine l, given that 0*l + 0 + 1/2*l**n + 1/2*l**2 + l**3 = 0.
-1, 0
Suppose 3*a - 13 + 1 = 0. Let t be (-8)/(-5) - a/(-10). Factor -l**5 - 2*l**4 + 3*l**t - 4*l**2 + 3*l**4 + l**3.
-l**2*(l - 1)**2*(l + 1)
Suppose 6 = 36*j - 102. Determine z, given that -16/7*z**j - 44/7*z**2 - 2/7*z**4 - 18/7 - 48/7*z = 0.
-3, -1
Solve -2*t**4 + t**3 + 8*t**3 + t**4 + 3*t + 9*t**2 + 4*t**4 = 0.
-1, 0
Let i(p) = -p**3 + 10*p**2 + 11*p. Let o = -1 + 1. Let t(g) = o*g + g - 3*g - 2*g**2. Let b(q) = -2*i(q) - 11*t(q). Factor b(j).
2*j**2*(j + 1)
Let q = -175/4 - -44. Factor 1/4*p - 1/4*p**2 - q*p**3 + 1/4*p**4 + 0.
p*(p - 1)**2*(p + 1)/4
Let n(o) = -9*o**3 + 3*o**2 - 3*o + 3. Let i(y) = -y**3 + 11*y**2 - 2*y**2 - y - 9*y**2 + 1. Let t be ((-2)/6)/(2/6). Let p(v) = t*n(v) + 6*i(v). Factor p(k).
3*(k - 1)**2*(k + 1)
Let q(f) be the third derivative of -f**5/12 + 5*f**4/24 + 20*f**2. Suppose q(z) = 0. What is z?
0, 1
Let p(f) be the second derivative of 2*f**7/35 + 7*f**6/30 + f**5/3 + f**4/6 - 3*f**2/2 - 6*f. Let o(v) be the first derivative of p(v). Solve o(a) = 0 for a.
-1, -1/3, 0
Factor 1/2*i**2 + 1/2 + i.
(i + 1)**2/2
Let b(k) = 4*k - 6*k**2 + 7*k**2 - 3*k**2. Let o(f) = f. Let r(x) = b(x) - 4*o(x). Suppose r(i) = 0. What is i?
0
Let n be 0/(-2) + (-6 - 45/(-6)). Find i such that -1 + n*i + i**2 = 0.
-2, 1/2
Let n(x) = 9 - 4 + 8 - x. Let q be n(9). Let -5*a**3 - 6*a**q + 4 - 5*a**3 + 2*a**2 + 9*a + a = 0. Calculate a.
-1, -2/3, 1
Factor -5/4*y**5 - 2560*y - 155/4*y**4 - 440*y**3 - 2080*y**2 + 5120.
-5*(y - 1)*(y + 8)**4/4
Let g(w) = w**2 - 2*w + 1. Let q(c) = 4 + 2*c**2 - 2 - c + 0*c**2. Let n(p) = 5*g(p) - 4*q(p). Factor n(j).
-3*(j + 1)**2
Let q(t) = -31*t**3 + 35*t**2 - 55*t + 12. Let k be 1 + -2 + (-15 - -3). Let l(m) = 15*m**3 - 18*m**2 + 27*m - 6. Let i(y) = k*l(y) - 6*q(y). Factor i(w).
-3*(w - 1)**2*(3*w - 2)
Suppose -4*m**2 - 3 + 19/2*m - 5/2*m**3 = 0. Calculate m.
-3, 2/5, 1
