-2*d - 2*b. Let o be ((-24)/(-18))/(4/6). Factor -3*s**o + 0*s**3 + s**d - 2*s**3.
-2*s**2*(s + 1)
Let g(b) be the second derivative of -b**7/210 - 2*b**6/75 - 3*b**5/50 - b**4/15 - b**3/30 - 27*b. Determine w so that g(w) = 0.
-1, 0
Let s(k) be the third derivative of -k**6/90 + k**5/120 - k**3/3 + 2*k**2. Let o(r) be the first derivative of s(r). Factor o(p).
-p*(4*p - 1)
Suppose 3*s + 0 = 18. Let y(t) be the second derivative of 1/6*t**2 + 1/30*t**5 + t + 0 + 0*t**4 - 1/90*t**s - 1/9*t**3. Let y(k) = 0. Calculate k.
-1, 1
Let v(t) = t - 4. Let y be v(6). Let i be (-2)/(-8)*8/5. What is z in -i*z + 0 - 1/5*z**y = 0?
-2, 0
Let d(c) be the second derivative of -3*c**2 - 3/2*c**3 + 0 + 4*c - 1/4*c**4. Find o such that d(o) = 0.
-2, -1
Let p(a) = -5*a**3 - 48*a**2 - 5*a - 1. Let v(b) = -b**3 - 8*b**2 - b. Let k(n) = 6*p(n) - 39*v(n). Let k(f) = 0. What is f?
-2, -1, 1/3
Factor -32/5*k**4 + 0 + 0*k + 4/5*k**3 + 4*k**5 + 8/5*k**2.
4*k**2*(k - 1)**2*(5*k + 2)/5
Suppose 0*t = -5*t, -5*t = -5*s. Suppose 3*j - 6*j = s. Factor -2*z**3 + j + 8/3*z + 0*z**2 + 2/3*z**4.
2*z*(z - 2)**2*(z + 1)/3
Let p(d) = -d**2 - 10*d + 4. Let f be -20*-3*(-1)/6. Let h be p(f). Let 0*y - 2/7*y**5 - 2/7*y**h + 2/7*y**2 + 0 + 2/7*y**3 = 0. What is y?
-1, 0, 1
Determine y so that 2/3*y**5 + 20*y**3 + 6*y**4 + 92/3*y**2 + 22*y + 6 = 0.
-3, -1
Let x = 8 - 8. Let k(h) be the third derivative of 0*h + 3*h**2 + 0*h**3 + 1/120*h**4 + 1/600*h**6 - 1/150*h**5 + x. Find a, given that k(a) = 0.
0, 1
Let w(u) be the second derivative of -u**5/20 + 5*u**4/12 - 7*u**3/6 + 3*u**2/2 - 13*u + 2. Factor w(l).
-(l - 3)*(l - 1)**2
Let a(o) be the second derivative of 0*o**2 + 0 + 0*o**3 + 2*o - 1/2*o**4 + 21/20*o**5. Find v, given that a(v) = 0.
0, 2/7
Let z = -6 + 8. Solve 4*p**2 - 2*p**2 - p**4 - p**3 + p - p**z = 0 for p.
-1, 0, 1
Let n = 7538/3 + -2545. Let h = -32 - n. Factor m - h*m**4 - 1/3*m**2 + 2/3 - m**3.
-(m - 1)*(m + 1)**2*(m + 2)/3
Let d(b) be the first derivative of b**3/18 + b**2/4 - 1. What is g in d(g) = 0?
-3, 0
Let c be (4 + -2 + -1)*2. Suppose 0*k - k + c = 0. Find u such that -2*u + 4*u**2 + 0*u**2 + k*u**2 - 4*u**2 = 0.
0, 1
Suppose 5*z - 4*z - 2 = 0. Suppose 0 = z*w - 3*w. Let w*c**2 + 2/7*c**3 + 2/7*c**4 + 0*c + 0 = 0. What is c?
-1, 0
Let d(v) = 3*v**4 - v**4 - 5*v**5 - 2 + 3*v**4 + 2*v**2. Let c(y) = 6*y**5 - 6*y**4 - 3*y**2 + 3. Let f(g) = -2*c(g) - 3*d(g). Factor f(p).
3*p**4*(p - 1)
Let k(l) be the second derivative of l**7/315 - 2*l**6/225 + l**4/45 - l**3/45 + 10*l. Find n, given that k(n) = 0.
-1, 0, 1
Suppose 0*g - 3*g = -9. Let f(u) be the second derivative of -3/4*u**4 - 11/6*u**g + 0 + 2*u - u**2. What is d in f(d) = 0?
-1, -2/9
Let c(v) be the first derivative of v**7/84 + v**6/36 + v**5/120 - v**4/72 - 10*v + 11. Let b(h) be the first derivative of c(h). Let b(f) = 0. What is f?
-1, 0, 1/3
Let s be (-7)/2*16/(-28). Factor -2*a**2 - 2*a + 4*a**s - 3*a**2.
-a*(a + 2)
Suppose 3*s + 3*c = 7*s - 11, c = s - 2. Find i such that 11*i**3 - 2*i - 3*i**5 - s*i**3 - i = 0.
-1, 0, 1
Determine d so that -2/5 - 2/5*d**4 + 0*d**3 + 0*d + 4/5*d**2 = 0.
-1, 1
Let h(b) be the third derivative of b**7/1050 - b**6/150 + b**5/60 - b**4/60 - 9*b**2. Let h(v) = 0. Calculate v.
0, 1, 2
Let m(r) be the second derivative of r**6/240 - 3*r**5/40 + 9*r**4/16 + r**3/3 + 2*r. Let x(c) be the second derivative of m(c). Determine d so that x(d) = 0.
3
Let u(o) be the second derivative of o**5/4 - 5*o**4/4 + 5*o**3/3 - 4*o. Factor u(f).
5*f*(f - 2)*(f - 1)
Let v(y) = y**3 - 7*y**2 - 3*y + 18. Let c(m) = -8*m**2 - 4*m + 18. Let s(w) = 6*c(w) - 4*v(w). Factor s(u).
-4*(u - 1)*(u + 3)**2
Let l(y) be the second derivative of 11*y**5/20 + y**4/6 - 11*y**3/6 - y**2 - 12*y + 2. Factor l(q).
(q - 1)*(q + 1)*(11*q + 2)
Determine n, given that -147/8*n**3 - 3/2*n - 21/2*n**2 + 0 = 0.
-2/7, 0
Let n be 4/(-14) + 141/(-21). Let t(y) = 5*y**2 + 2*y + 11. Let i(f) = 2*f**2 + f + 5. Let h(z) = n*i(z) + 3*t(z). Let h(b) = 0. What is b?
-1, 2
Let g be 5 + (-53)/(-14) + (-4)/14. Solve -11/2*a**2 - a - 21/2*a**3 - g*a**4 + 0 - 5/2*a**5 = 0.
-1, -2/5, 0
Let j be (-2)/8 - 27/(-60). Let p(u) be the first derivative of j*u**5 + 0*u**2 + 0*u + 0*u**4 - 1 - 1/3*u**3. Find k, given that p(k) = 0.
-1, 0, 1
Let h = -87 + 87. Solve 0*y**3 - 2/5*y**2 + 0*y + h + 2/5*y**4 = 0.
-1, 0, 1
Let o be 12/84*(3 - 1). Let j be 0/1*(-3 - -2). Factor -o*t**3 + j + 0*t - 2/7*t**2.
-2*t**2*(t + 1)/7
Let k(h) be the third derivative of h**8/84 - 2*h**7/35 + h**6/10 - h**5/15 - 18*h**2. Factor k(m).
4*m**2*(m - 1)**3
Suppose -2*z = 9 + 3. Let k be 52/20 - z/15. Suppose -1/4*a**k + 0 - 1/4*a + 1/2*a**2 = 0. Calculate a.
0, 1
Let l(s) be the second derivative of s**8/112 - s**7/70 - s**6/40 + s**5/20 - s**2/2 - 7*s. Let h(p) be the first derivative of l(p). Factor h(m).
3*m**2*(m - 1)**2*(m + 1)
Suppose -9 + 0 = -g. Suppose 5*l - 19 = -3*q, q - l - g = -0. Factor -2*b**2 + 12*b + q*b**2 + 4*b**3 + 10*b - 20*b.
2*b*(b + 1)*(2*b + 1)
Suppose 54 = 10*i + 24. Factor 2*b**2 + 0 + 14/3*b**4 - 4/3*b + 8*b**i.
2*b*(b + 1)**2*(7*b - 2)/3
Let r = -6 + 11. Suppose 3 = -r*d - 2. Let o(a) = -14*a**4 + 12*a**2 + 12*a + 12. Let m(s) = s**4 - s**2 - s - 1. Let p(f) = d*o(f) - 12*m(f). Factor p(c).
2*c**4
Let d be 1/(-16) + 1 + -1. Let g = 27/80 - d. Solve 0*a + 0 - 4/5*a**3 - g*a**5 + 0*a**2 + 6/5*a**4 = 0 for a.
0, 1, 2
Let s(h) = h**3 - 8*h**2 - 10*h + 12. Let v be s(9). Suppose -v*j + j = -6. Determine p, given that -2/3*p**2 + 0*p**j + 0*p + 1/3*p**4 + 1/3 = 0.
-1, 1
Let y(n) be the third derivative of -1/210*n**7 - 2*n**2 + 0*n**4 - 1/60*n**5 + 1/60*n**6 + 0*n**3 + 0*n + 0. Suppose y(r) = 0. Calculate r.
0, 1
Let b(n) be the second derivative of n**5/20 + n**4/4 - 2*n**2 - 4*n. Factor b(r).
(r - 1)*(r + 2)**2
Suppose -5*i + 2*r = 6, r - 3 = 2*i - 7*i. Factor 0*o**2 - 1/5*o - 1/5*o**5 + 2/5*o**3 + 0*o**4 + i.
-o*(o - 1)**2*(o + 1)**2/5
Let h be 2/21*3*7. Suppose -c = 2*t, h*t = 7*t - 4*c. Find o such that t*o**2 + 1/2*o - 1/2*o**3 + 0 = 0.
-1, 0, 1
Let b(g) = 27*g**5 + 39*g**4 + 12*g**3 - 15*g**2. Let x(u) = -7*u**5 - 10*u**4 - 3*u**3 + 4*u**2. Let t(q) = 4*b(q) + 15*x(q). Let t(f) = 0. Calculate f.
-1, 0
Let k(w) be the second derivative of -w**3/6 - 2*w**2 - w. Let g be k(-4). Factor 2/9 + g*b**3 - 4/9*b**2 + 2/9*b**4 + 0*b.
2*(b - 1)**2*(b + 1)**2/9
Solve 5*s + 1851*s**2 - 3 + 4*s**4 - 1872*s**2 - 3*s**3 - 22*s = 0 for s.
-1, -1/4, 3
Let d = 273 - 811/3. Solve -2*n - d*n**2 + 2/3 = 0 for n.
-1, 1/4
Let p be (-12)/(-14)*(2 + 9/6). Determine m so that 2/9*m**4 + 0*m**2 + 0*m + 2/9*m**p + 0 = 0.
-1, 0
Let i be (1/1)/((-1)/2). Let z = 5 + i. Let 0*a**2 - 3*a**3 - a**2 + 4*a**z = 0. Calculate a.
0, 1
Let u(i) be the second derivative of 7*i**6/30 - 23*i**5/20 + 5*i**4/3 - 2*i**3/3 - 29*i. What is z in u(z) = 0?
0, 2/7, 1, 2
Let v(z) be the third derivative of z**6/1020 + 2*z**5/255 - 3*z**2. Factor v(o).
2*o**2*(o + 4)/17
Let h(d) be the first derivative of d**6/2340 + d**5/195 + d**4/39 + d**3 - 1. Let w(s) be the third derivative of h(s). Find g such that w(g) = 0.
-2
Let d(y) be the first derivative of 5*y**6/6 - 2*y**5 - 35*y**4/4 - 20*y**3/3 + 6. Factor d(v).
5*v**2*(v - 4)*(v + 1)**2
Suppose 0 = -4*m + 2 + 10. Suppose -5 + 4*q**2 - m*q**2 + q + 5 = 0. What is q?
-1, 0
Suppose 10*g + 3*u - 17 = 8*g, 0 = 2*u - 6. Let 3*w**2 + 0 - 1/2*w - g*w**3 = 0. What is w?
0, 1/4, 1/2
Suppose -3*i = 2*i + 30. Let s = -6 - i. Factor 2*m**3 - 4/3*m**4 + 1/3*m - 4/3*m**2 + s + 1/3*m**5.
m*(m - 1)**4/3
Let u be (-812)/(-84) - (-9)/(-1). Factor 2/3*l**2 - 1/3*l + 1/3*l**3 - u.
(l - 1)*(l + 1)*(l + 2)/3
Let c(o) be the second derivative of 2*o - 1/24*o**4 + 0*o**2 + 0*o**5 + 1/360*o**6 - 1/6*o**3 + 0. Let g(s) be the second derivative of c(s). Factor g(y).
(y - 1)*(y + 1)
Let k(t) = 8*t**4 - 2*t**3 - 2*t**2 + 2*t - 3. Let r(x) = -x**4 - x**2 + 1. Let y(z) = -k(z) - 3*r(z). Factor y(g).
-g*(g - 1)*(g + 1)*(5*g - 2)
Let c = -14 - -15. Factor 0 + 10*g**3 - 2*g - 5*g**4 - c + g + 6*g - 10*g**2 + g**5.
(g - 1)**5
Factor 0 - 5/3*s**3 - 4/3*s**4 - 1/3*s**5 + 0*s - 2/3*s**2.
-s**2*(s + 1)**2*(s + 2)/3
Suppose -3*m - 7 = -2*p, -3*m = p + m - 20. Let n = p + -6. Factor -6*y**4 - 3*y**4 + n*y**2 + y**5 - y + 3*y**4 + 4*y**4.
y*(y - 1)**3*(y + 1)
Let d(v) = v**2 - 9*v + 