/480 + z**4/192 + z**3/24 - 8*z**2 - 1. Suppose x(m) = 0. What is m?
-1, 2
Let n = -48 - -51. Factor -1/7*z**2 + 0*z - 1/7*z**n + 0.
-z**2*(z + 1)/7
Let c(h) be the first derivative of h**7/140 + 7*h**6/180 + h**5/12 + h**4/12 + 5*h**3/3 + 1. Let x(n) be the third derivative of c(n). What is m in x(m) = 0?
-1, -1/3
Let s(c) = -13*c**2 + 7*c - 7. Let g(o) = 9*o**2 - 5*o + 5. Let v(k) = -7*g(k) - 5*s(k). Factor v(r).
2*r**2
Let m(g) be the first derivative of g**7/28 - 3*g**5/40 + 4*g + 1. Let y(j) be the first derivative of m(j). Let y(s) = 0. What is s?
-1, 0, 1
Determine j so that 3/8*j**3 - 3/8*j + 1/8*j**2 - 1/4 + 1/8*j**4 = 0.
-2, -1, 1
Let o be 3 - 99/15 - (-8 + 4). What is r in 2/5 + o*r**2 + 4/5*r = 0?
-1
Suppose 36 = 4*o + 5*j, 0 = 3*o - 4*j + 7 - 3. Factor -32/3 + 4/3*f**5 - 16*f + 44/3*f**3 + 8/3*f**2 + 8*f**o.
4*(f - 1)*(f + 1)*(f + 2)**3/3
Let w be 6*(45/10 - 4). Suppose -3/5*u**w + 3/5*u**2 + 3/5*u - 3/5*u**4 + 0 = 0. Calculate u.
-1, 0, 1
Suppose -9 = -3*r - 0. Determine s, given that 2 - 4*s**r + 2*s**3 + 6*s + 4*s**3 + 6*s**2 = 0.
-1
Suppose -j + u = 3*u - 18, 4*j - u = 45. Let f(r) be the first derivative of -57/4*r**4 + j*r + 4 + 21/5*r**5 - 1/2*r**6 + 25*r**3 - 24*r**2. Factor f(h).
-3*(h - 2)**2*(h - 1)**3
Let o be (-2)/6*-8 + 7 + -9. Factor 2*y**4 + 0*y + 2/3*y**2 + 0 - 2*y**3 - o*y**5.
-2*y**2*(y - 1)**3/3
Factor 10/19*z**2 - 10/19 + 2/19*z**3 - 2/19*z.
2*(z - 1)*(z + 1)*(z + 5)/19
Let c(y) = 12*y + 5. Let j be c(4). Factor i + j - i**2 - 53.
-i*(i - 1)
Suppose 3*d - 3*g = 3, 2*d + 0*g + g - 14 = 0. Factor 1 - y**3 + 0*y**2 + 1 + 3*y**2 + y - d*y**2.
-(y - 1)*(y + 1)*(y + 2)
Let b(r) be the second derivative of 0 - r**2 + 0*r**3 + r - 1/40*r**5 + 1/8*r**4. Factor b(v).
-(v - 2)**2*(v + 1)/2
Suppose 0*a - 2 = -a. Let z be a - 4/(1 - 3). Let 6*q**3 + 12*q + 10*q**2 - q**z - 4 - 23*q**2 + 0*q**3 = 0. What is q?
1, 2
Let q = -17 + 19. Let u(s) = s**2 + s - 1. Let d(a) = 157*a**2 - 77*a + 13. Let t(x) = q*d(x) + 10*u(x). Factor t(r).
4*(9*r - 2)**2
Let o(i) be the second derivative of i**7/147 - 4*i**6/105 + 2*i**5/35 + i**4/21 - 5*i**3/21 + 2*i**2/7 - 21*i. Solve o(u) = 0.
-1, 1, 2
Let g = -9 + 12. Suppose -n**3 - 3*n**5 - 5*n**3 - 4*n**g - 12*n**4 + n**3 = 0. What is n?
-3, -1, 0
Let o(n) be the third derivative of -n**5/100 - 3*n**4/40 + n**2. Factor o(b).
-3*b*(b + 3)/5
Let o = 1575/2 - 786. Solve 3/2*c**4 + 0*c + 0 - o*c**3 - 3/2*c**2 + 3/2*c**5 = 0.
-1, 0, 1
Let r(i) = 72*i**3 + 16*i**2 - 44*i - 72. Let y(m) = 13*m**3 + 3*m**2 - 8*m - 13. Let z(d) = 5*r(d) - 28*y(d). Factor z(u).
-4*(u - 1)*(u + 1)**2
Let h(y) be the first derivative of 6*y**4 + 4*y**3/3 + 32. Solve h(l) = 0 for l.
-1/6, 0
Let u = -997 + 997. Solve -2/3*l**4 + 0 - 2/3*l**3 + u*l + 2/3*l**2 + 2/3*l**5 = 0 for l.
-1, 0, 1
Let p(t) be the first derivative of 0*t + 1/4*t**3 + 9/8*t**2 - 4. Determine c, given that p(c) = 0.
-3, 0
Let b(n) = -n - 4. Let p be b(-3). Let v = p + 4. Factor 0*w + v*w + w - 4 - w**2.
-(w - 2)**2
Let -6 + 2 - 3*r + 3*r**3 + 7 - 3*r**2 = 0. Calculate r.
-1, 1
Let k be 60/14 - (-4)/(-14). Let b be 80/(-32)*(63/(-15) + 3). Find z, given that 0*z - 4/11*z**2 + 0*z**b + 2/11*z**k + 2/11 = 0.
-1, 1
Let s(b) = -12*b**2 - 4*b. Let z(j) = -12*j**2 - 4*j. Let x(t) = -5*s(t) + 6*z(t). Determine p so that x(p) = 0.
-1/3, 0
Let u(q) be the second derivative of -q**7/147 + q**6/35 - q**5/35 - q**4/21 + q**3/7 - q**2/7 + 6*q. Factor u(l).
-2*(l - 1)**4*(l + 1)/7
Let z be -1*-1*3/3. Factor -3 + 2*d + 4*d**2 - z - 4*d**3 + 2*d**3.
-2*(d - 2)*(d - 1)*(d + 1)
Let j = 1/35 - -33/70. Suppose -3/2*z + 2*z**2 - j = 0. What is z?
-1/4, 1
What is n in 2*n**2 + n**2 + 5*n**2 - 9*n - 5*n**2 = 0?
0, 3
Let c(y) be the third derivative of -1/360*y**5 + 0*y + 0*y**3 + 1/144*y**4 + 0 - 9*y**2. Find f such that c(f) = 0.
0, 1
Let t(u) = 3*u + 7. Let k be t(-9). Let m = 23 + k. Factor -154/9*h**m - 8/9*h + 0 + 64/9*h**2 + 98/9*h**4.
2*h*(h - 1)*(7*h - 2)**2/9
Suppose -3*a + 6 = -2*q, -11*q = -15*q. Find c, given that 1/3*c**a - 2/3*c + 0 = 0.
0, 2
Let h(j) = -j**2 + 1 - 2 - 3 + 1 - 6*j. Let z be h(-5). Find l, given that 0*l**2 + z*l - l**3 + 3*l**3 + 3*l**2 + l**2 = 0.
-1, 0
Let p(w) be the first derivative of -3 + 0*w + 0*w**3 + 3/2*w**2 + 1/60*w**6 + 0*w**4 + 1/30*w**5. Let f(k) be the second derivative of p(k). Factor f(o).
2*o**2*(o + 1)
Let p(x) = -4*x**2. Let f be p(1). Let o(h) = -h - 49 + 20 + 25 - 5*h**2. Let k(l) = 6*l**2 + l + 5. Let j(z) = f*k(z) - 5*o(z). Solve j(d) = 0 for d.
-1, 0
Let w(x) = -6*x**2 + 6*x - 17. Let h(q) = q**2 - q + 3. Suppose 4*j = -m - 18, 144 = -5*m + 3*j - 38. Let l(k) = m*h(k) - 6*w(k). Find f, given that l(f) = 0.
0, 1
Factor -15/4*c**2 + 0 + 7/4*c**3 + 9/4*c - 1/4*c**4.
-c*(c - 3)**2*(c - 1)/4
Suppose 3*k + 0*k = 6. Let o be (-8)/36*(-5 + k). Factor -o*x**4 + 4/3*x**3 + 0*x - 2/3*x**2 + 0.
-2*x**2*(x - 1)**2/3
Solve -2/9*v + 2/9*v**3 - 4/9*v**2 + 4/9 = 0 for v.
-1, 1, 2
Suppose -2*k + 18 = 5*t, 4*t = 2*k - 0*k. Determine z so that 2*z**4 - 2*z**3 + 0*z + 0*z + 2*z**t - 2*z**3 = 0.
0, 1
Let d(f) be the third derivative of -f**9/20160 + f**8/2240 - f**6/60 - 3*f**5/20 + 8*f**2. Let u(j) be the third derivative of d(j). What is z in u(z) = 0?
-1, 2
Determine s so that 4/5*s + 0 + 2/5*s**2 = 0.
-2, 0
Let u(n) be the second derivative of 3*n + 0*n**3 - 1/300*n**5 + 0 - 1/120*n**4 - 2*n**2. Let q(s) be the first derivative of u(s). Factor q(w).
-w*(w + 1)/5
Let q(n) be the third derivative of n**7/210 + n**6/120 - n**5/20 - n**4/24 + n**3/3 - 14*n**2. Suppose q(y) = 0. Calculate y.
-2, -1, 1
Let u(g) be the third derivative of -g**10/75600 - g**9/7560 - g**8/3360 + g**5/20 - 4*g**2. Let t(p) be the third derivative of u(p). What is d in t(d) = 0?
-3, -1, 0
Let a(g) be the third derivative of g**8/315 - g**7/70 + g**6/45 - g**5/90 + g**3/6 - 7*g**2. Let n(i) be the first derivative of a(i). Factor n(j).
4*j*(j - 1)**2*(4*j - 1)/3
Factor 0 - 35/4*f**4 - 5/4*f**2 + 0*f - 15/4*f**5 - 25/4*f**3.
-5*f**2*(f + 1)**2*(3*f + 1)/4
Let c(z) = z**3 - 11*z**2 + 3*z - 28. Let w be c(11). Factor 0 + 0*r**2 - 1/3*r**3 + 0*r**4 + 1/6*r + 1/6*r**w.
r*(r - 1)**2*(r + 1)**2/6
Let p(y) be the third derivative of -y**6/30 - 3*y**5/20 - y**4/24 + 3*y**3/2 - 7*y**2. Let w(s) = -s**2 - s + 1. Let i(m) = p(m) - 5*w(m). Factor i(l).
-4*(l - 1)*(l + 1)**2
Let s(d) be the third derivative of 0*d + 1/300*d**6 + 0*d**3 - 3*d**2 + 1/60*d**4 + 1/75*d**5 + 0. Suppose s(p) = 0. What is p?
-1, 0
Let y(n) be the second derivative of -n + 4/15*n**3 + 1/12*n**4 + 0 - 2/5*n**2. Factor y(d).
(d + 2)*(5*d - 2)/5
Let h be 13216/44 - (-4)/(-22). Let j = h + -300. Factor j - 4/11*r + 2/11*r**2.
2*(r - 1)**2/11
Let c(o) = 4*o**3 - 4*o**2 + 5*o - 2. Let d be c(1). Factor -d*h**2 - 2/3*h + 0.
-h*(9*h + 2)/3
Let n be ((-7)/(-5))/(-7) - (-1)/5. What is b in n*b + 2/15*b**3 - 2/15*b**5 - 2/15*b**4 + 2/15*b**2 + 0 = 0?
-1, 0, 1
Suppose 10*l - 11*l - 2*l**3 + 3*l**3 = 0. Calculate l.
-1, 0, 1
Let b(c) be the second derivative of c**4/8 - 3*c**3/4 + 3*c**2/2 + 5*c. Suppose b(y) = 0. Calculate y.
1, 2
Let k = 5 + -3. Let j(q) be the first derivative of 9/2*q**4 + 4*q**3 + 1/2*q**6 + 12/5*q**5 + k + 3/2*q**2 + 0*q. Factor j(m).
3*m*(m + 1)**4
Let v(l) = l**3 + 4*l**2 - 6*l + 1. Let c be v(-5). Solve -c*o**2 + 4*o + 2*o**2 + 2*o**2 = 0 for o.
0, 2
Let z(d) be the first derivative of -3 + 3/4*d**4 + 3*d - 3/2*d**2 - d**3. Factor z(q).
3*(q - 1)**2*(q + 1)
Let d(c) be the third derivative of -1/3*c**4 + 0 - 1/180*c**6 + 1/15*c**5 + 5*c**2 + 8/9*c**3 + 0*c. Factor d(q).
-2*(q - 2)**3/3
Let o(w) be the third derivative of -w**5/20 + 7*w**4/4 - 13*w**3/2 - 40*w**2. Determine n so that o(n) = 0.
1, 13
Let v(d) be the first derivative of 4*d**3/3 + 4*d**2 - 12*d - 2. Suppose v(q) = 0. Calculate q.
-3, 1
Let g(w) be the third derivative of 4*w**2 + 0*w + 0*w**4 + 0*w**3 + 1/40*w**5 + 0 - 1/56*w**7 + 3/160*w**6. Find u such that g(u) = 0.
-2/5, 0, 1
Let v(c) be the second derivative of 0 - 2*c**2 - 4*c + 5/3*c**3 + 1/10*c**5 - 2/3*c**4. Factor v(h).
2*(h - 2)*(h - 1)**2
Let j(w) be the third derivative of w**5/90 + w**4/108 + 6*w**2. Factor j(r).
2*r*(3*r + 1)/9
Let n(o) be the third derivative of o**6/600 + o**5/300 - o**4/120 - o**3/30 - 7*o**2. Factor n(h).
(h - 1)*(h + 1)**2/5
Let z(q) = 