tive of z**7/175 - 11*z**6/300 + z**5/10 - 3*z**4/20 + 2*z**3/15 + 8*z**2. Let i(t) = 0. What is t?
2/3, 1
Let n(x) be the first derivative of 2*x**5/35 + x**4/14 - 2*x**3/21 - x**2/7 - 6. What is t in n(t) = 0?
-1, 0, 1
Let w(j) be the first derivative of -2/9*j**2 + 0*j - 2/45*j**5 - 1/6*j**4 + 10/27*j**3 + 1/27*j**6 + 4. Factor w(p).
2*p*(p - 1)**3*(p + 2)/9
Let -5/2 - 5/6*t**2 - 5/6*t**3 + 25/6*t = 0. Calculate t.
-3, 1
Let u = -7 - -11. Suppose 4*t - 2*t = u. Determine m, given that 2/5*m**t + 4/5*m + 0 = 0.
-2, 0
Let r(y) be the third derivative of 2*y**2 + 0*y + 1/315*y**7 + 0 + 0*y**3 - 1/60*y**6 - 1/36*y**4 + 1/30*y**5. Factor r(m).
2*m*(m - 1)**3/3
Let g be (2/5)/(2/30). Let r be (g/18)/((-3)/(-6)). Solve 4/3 - 2/3*x**3 - 2*x**2 + 2/3*x + r*x**4 = 0.
-1, 1, 2
Let c(s) be the third derivative of -1/120*s**6 + 0*s + 0*s**3 + 1/90*s**5 + 0 + 1/630*s**7 + 3*s**2 + 0*s**4. Determine f, given that c(f) = 0.
0, 1, 2
Suppose 80/3*f - 32/3 + 20/3*f**4 - 68/3*f**3 + 8*f**2 = 0. What is f?
-1, 2/5, 2
Let x(w) be the first derivative of 4*w**3/3 + 4*w**2 + 4*w - 7. Find l such that x(l) = 0.
-1
Let x(n) be the second derivative of 1/12*n**3 + 1/48*n**4 + 4*n - 3/8*n**2 + 0. Let x(o) = 0. What is o?
-3, 1
Let u(n) be the second derivative of -1/60*n**5 + 1/6*n**3 + 2*n + 0 + 3/2*n**2 + 0*n**4. Let a(j) be the first derivative of u(j). Factor a(r).
-(r - 1)*(r + 1)
Suppose 4*y - 2*i = 7 + 1, 5*i - 16 = y. Let 0 - 1/4*a**2 + 1/2*a**3 - 1/2*a + 1/4*a**y = 0. What is a?
-2, -1, 0, 1
Let -15*k**5 + 25*k**5 - 13*k**5 + 3*k**3 + 3*k**2 - 3*k**4 = 0. Calculate k.
-1, 0, 1
Let x(u) be the first derivative of -4/7*u**2 - 2/35*u**5 - 1 - 8/7*u + 2/7*u**3 + 1/7*u**4. Factor x(v).
-2*(v - 2)**2*(v + 1)**2/7
Let b(o) be the third derivative of -o**5/150 - o**4/15 - o**3/5 - 4*o**2. Solve b(l) = 0 for l.
-3, -1
Suppose -5*w = -5 - 5. Let b(a) be the second derivative of 0*a**w + 0 - 2*a - 1/18*a**3 - 1/60*a**5 - 1/18*a**4. Factor b(x).
-x*(x + 1)**2/3
Let w(s) be the first derivative of 2/3*s**3 - 2*s**2 + 0*s + 2. Suppose w(d) = 0. Calculate d.
0, 2
Factor 13*s**5 + 3 + 6*s**2 + 33*s**3 + 48*s**4 - 3 + 8*s**5.
3*s**2*(s + 1)**2*(7*s + 2)
Let m(p) be the first derivative of p**4/10 + 2*p**3/5 + 3*p**2/5 + 2*p/5 + 4. Factor m(d).
2*(d + 1)**3/5
Factor 1/3*m - 1/3*m**4 - 1/3*m**3 + 0 + 1/3*m**2.
-m*(m - 1)*(m + 1)**2/3
Factor 3/7*k**2 - 6/7*k - 9/7.
3*(k - 3)*(k + 1)/7
Let d(m) be the first derivative of -m**7/525 - m**6/100 - m**5/50 - m**4/60 + m**2 - 2. Let k(w) be the second derivative of d(w). Find p such that k(p) = 0.
-1, 0
Let f(i) be the second derivative of i**3/6 + i**2 + 2*i. Let l be f(2). Let -m**2 + 0*m**2 - m**l + 9*m**3 - 9*m - 2 - m**2 + 5*m**4 = 0. Calculate m.
-2, -1, -1/4, 1
Let s(q) be the first derivative of -3 + 1/6*q**2 + 1/12*q**4 + 0*q + 2/9*q**3. Factor s(p).
p*(p + 1)**2/3
Factor 0 - 2/11*l**5 + 0*l**4 + 4/11*l**3 + 0*l**2 - 2/11*l.
-2*l*(l - 1)**2*(l + 1)**2/11
Let v(y) be the third derivative of 1/40*y**5 - 2*y**2 + 0*y + 0 + 1/6*y**3 + 1/240*y**6 - 5/48*y**4 - 1/420*y**7. What is b in v(b) = 0?
-2, 1
Factor 0 + 1/4*q**2 - 1/4*q**3 + 1/2*q.
-q*(q - 2)*(q + 1)/4
What is s in -16*s + 18*s**4 - 4*s**4 + 52*s**3 - 2 + 40*s**2 + 2 = 0?
-2, 0, 2/7
Factor -8*y**3 + 4*y + 18*y**3 + 4*y**2 - 9*y**3.
y*(y + 2)**2
Let t = 3 - 1. What is o in 5*o**3 - 8 - 2*o + 7*o**t + 7*o**3 + 30*o - 39*o**2 = 0?
2/3, 1
Suppose -2*l = -3*x, -3*l - x = x. Suppose s**3 + 0*s**4 - s + 0*s + 3*s**2 - 3*s**4 + l*s**3 = 0. Calculate s.
-1, 0, 1/3, 1
What is g in -70*g**2 - 78*g**2 - 4 + 149*g**2 = 0?
-2, 2
Let m(c) = -c**3 - 6*c**2 + 4*c - 19. Let l be m(-7). Factor -4/3 + 2/3*f**l - 2/3*f.
2*(f - 2)*(f + 1)/3
Let a be ((-6)/5)/((-6)/15). Let v = -9 + 11. Suppose a*c**3 - c**v + 3*c**5 + 2*c**2 - 2*c**5 + 3*c**4 = 0. What is c?
-1, 0
Let b(o) = 9*o**4 - 32*o**3 + 110*o**2 - 83*o + 16. Let v(p) = p**4 + p**3 + p**2 + p. Let q(j) = -3*b(j) + 15*v(j). Solve q(a) = 0 for a.
1/4, 1, 4
Let s = -13 + 18. Let z(q) be the second derivative of -q + 1/24*q**4 + 1/24*q**3 + 1/80*q**s + 0*q**2 + 0. Factor z(r).
r*(r + 1)**2/4
Factor -3/2*g**2 + 1/2*g**3 - 1/2 + 3/2*g.
(g - 1)**3/2
Factor 0 + 4/9*j**3 - 8/9*j + 4/9*j**2.
4*j*(j - 1)*(j + 2)/9
Let z(r) be the first derivative of -r**5/30 + r**4/12 - r**2 + 3. Let j(o) be the second derivative of z(o). Determine q, given that j(q) = 0.
0, 1
Let x(b) be the third derivative of b**7/420 - b**5/40 - b**4/24 - 21*b**2. Find v such that x(v) = 0.
-1, 0, 2
Suppose 0 = f + 1 - 3. What is n in 1/6*n - 1/3*n**f - 1/3*n**3 + 1/6 + 1/6*n**4 + 1/6*n**5 = 0?
-1, 1
Let w = 4/61 - -37/366. Let o(n) be the first derivative of -w*n**2 - 2 - 1/9*n**3 + 2/3*n. Factor o(j).
-(j - 1)*(j + 2)/3
Let m(u) be the third derivative of -1/33*u**4 + 0*u + 2*u**2 + 1/330*u**5 + 4/33*u**3 + 0. Let m(h) = 0. Calculate h.
2
Let v = 2 - 1. Let r = v + 2. Let 0*l**3 + 0*l**4 + 2*l**r + l**4 + l**2 = 0. What is l?
-1, 0
Suppose 2*a - 4*y + 19 = 3, 4*a + y = 13. Factor 1 + 5*c**2 + 7*c**a - 2*c - 11*c**2.
(c - 1)**2
Let b(g) be the second derivative of -2*g**6/45 + g**5/15 + g**4/9 - 2*g**3/9 + 10*g. What is a in b(a) = 0?
-1, 0, 1
Let w(d) be the second derivative of 6*d**7/7 + 8*d**6/3 + 4*d**5/5 - 6*d**4 - 26*d**3/3 - 4*d**2 - 8*d. Let w(r) = 0. What is r?
-1, -2/9, 1
Let i(d) be the first derivative of 2*d**6/3 - 8*d**5/5 - 3*d**4 + 32*d**3/3 - 8*d**2 + 15. Let i(w) = 0. What is w?
-2, 0, 1, 2
Let z(g) = g**4 - g**2 - 4*g + 4. Let i(f) = 4*f**4 - f**3 - 3*f**2 - 16*f + 16. Let k(c) = -2*i(c) + 9*z(c). Factor k(w).
(w - 1)**2*(w + 2)**2
Let j(x) be the first derivative of -x**4/12 + 3*x - 2. Let m(w) be the first derivative of j(w). Factor m(s).
-s**2
Let r(z) be the first derivative of z**3/21 - z**2/7 + z/7 - 9. Let r(a) = 0. What is a?
1
Let a(z) be the second derivative of z**7/168 - z**6/24 + 9*z**5/80 - 7*z**4/48 + z**3/12 - 25*z. Factor a(x).
x*(x - 2)*(x - 1)**3/4
Let i(q) be the third derivative of q**5/20 + q**4/8 - q**3 - 5*q**2. Factor i(g).
3*(g - 1)*(g + 2)
Let q be (-2)/6 - (-1183)/(-9). Let g = 132 + q. Factor -g*a**2 - 8/9 - 8/9*a.
-2*(a + 2)**2/9
Let 157/4*r**2 - 99/2*r**3 + 81/4*r**4 + 1 - 11*r = 0. Calculate r.
2/9, 1
Factor -4/7*a + 8/7*a**2 - 8/7 + 4/7*a**3.
4*(a - 1)*(a + 1)*(a + 2)/7
Let t = 5 - 2. Find d, given that -2*d**4 + 4*d**3 - 2*d**t + 2*d**5 + 6*d**4 = 0.
-1, 0
Let i = 1 + -7. Let c be -3 - -1 - (i - -2). Factor 2*g**3 + 2*g + g**4 - 3*g**4 + 4*g**3 - 6*g**c.
-2*g*(g - 1)**3
Suppose q + 4 = 2*p, -3*q + q - 3*p = -13. Let u = 7 + -5. Factor 2*v**u - 3*v**2 - 4 + q + 3*v**2.
2*(v - 1)*(v + 1)
Suppose 0 + 2/9*s**4 - 2/9*s**3 + 0*s + 0*s**2 = 0. What is s?
0, 1
Let i be 16/2 + 4/(-4). Let m = i - 2. Factor -13*o - m - o**2 + 4 + 14*o + 3.
-(o - 2)*(o + 1)
Determine s so that -3 - 3/2*s**5 + 21/2*s + 3*s**4 + 3*s**3 - 12*s**2 = 0.
-2, 1
Let k(h) be the second derivative of -h**6/30 - h**5/5 - h**4/4 + 2*h**3/3 + 2*h**2 + 26*h. Factor k(a).
-(a - 1)*(a + 1)*(a + 2)**2
Let p(y) be the first derivative of 2*y**6/3 - 3*y**4 - 8*y**3/3 - 17. Factor p(h).
4*h**2*(h - 2)*(h + 1)**2
Determine l so that -25/9*l**5 - 155/9*l**4 + 56/9*l - 20/9 - 139/9*l**3 + 67/9*l**2 = 0.
-5, -1, 2/5
Let m = 42/19 - 149/76. Factor -m*t**4 - 1/2*t**3 - 1/4 + 1/4*t**5 + 1/2*t**2 + 1/4*t.
(t - 1)**3*(t + 1)**2/4
Let n(a) = -2*a**3 - 10*a**2 + 5*a + 13. Let q(k) = -k**3 - k**2 - k - 1. Let p(h) = -2*n(h) + 6*q(h). Suppose p(d) = 0. What is d?
-1, 4
Let l(w) be the third derivative of -w**8/1176 - w**7/735 + w**6/420 + w**5/210 - 2*w**2. Suppose l(r) = 0. What is r?
-1, 0, 1
Let u(l) be the first derivative of -14/3*l**3 + 2*l**2 + 1/3*l**6 - 2*l**5 + 0*l + 7 + 9/2*l**4. Suppose u(d) = 0. What is d?
0, 1, 2
Let o(g) be the first derivative of -2/35*g**5 + 0*g + 0*g**2 + 0*g**3 + 0*g**4 - 1. Solve o(b) = 0 for b.
0
Let g be 0/1 - 28/(-1). Suppose 5*n = -4*t + 13 + 27, 4*t - g = -2*n. Suppose -4*l**4 + 4/3*l**3 - 2/3 + l - 7/3*l**t + 14/3*l**2 = 0. What is l?
-1, 2/7, 1
Let q(y) be the second derivative of -6*y**6/5 + 3*y**5/5 + 8*y**4/3 - 8*y**3/3 - 27*y. Find r, given that q(r) = 0.
-1, 0, 2/3
Suppose 5*g - 4*r - 23 = -2*r, 5*r = 5. Factor -36*l**g + 20*l**3 - 2*l**2 - 3 - 13 - 60*l**4 + 62*l**2.
-4*(l + 1)**3*(3*l - 2)**2
Suppose -5*o + 24 = -4*p, 5 = 3*o + p 