*3/7
Suppose 9/4*p + 21/2*p**2 - 3/4*p**5 - 15/4*p**4 - 27/4 - 3/2*p**3 = 0. What is p?
-3, -1, 1
Let o(l) be the second derivative of -l**8/1344 - l**7/840 - 3*l**2/2 - 4*l. Let x(s) be the first derivative of o(s). Suppose x(q) = 0. What is q?
-1, 0
Let r(z) be the first derivative of 3*z**5/20 + 9*z**4/32 + z**3/8 + 3. Suppose r(j) = 0. What is j?
-1, -1/2, 0
Let z(b) be the third derivative of 0*b**3 - 3*b**2 - 1/300*b**6 + 0*b**4 + 0 + 0*b + 1/150*b**5. Factor z(p).
-2*p**2*(p - 1)/5
Let h = -869724/11 - -79130. Let f = h - 64. Factor 14/11*d**4 + 30/11*d**2 - f*d - 4/11 - 38/11*d**3.
2*(d - 1)**3*(7*d + 2)/11
Suppose u = -4*u - 15. Let b be (-4 - -4)/(5 + u). Find x such that 2/7*x**4 - 2/7*x**2 + 0*x**3 + b + 0*x = 0.
-1, 0, 1
Let n be 2 + 0 + 4/2. What is w in 7*w**2 - n*w**2 + 4*w - w**2 = 0?
-2, 0
Let 14/15 + 2/15*y**2 + 16/15*y = 0. Calculate y.
-7, -1
Let k(f) be the first derivative of 3*f**5/5 + 3*f**4/2 + f**3 + 5. Factor k(j).
3*j**2*(j + 1)**2
Let u(c) be the third derivative of 0*c**4 - 3*c**2 + 0*c**5 + 0*c**3 + 2/105*c**7 + 0*c - 1/15*c**6 + 0. Factor u(m).
4*m**3*(m - 2)
Suppose 0 + 4*g**2 + 5/3*g**3 + 4/3*g = 0. What is g?
-2, -2/5, 0
Let v(k) be the third derivative of k**8/112 - 3*k**7/70 + k**6/20 + k**5/10 - 3*k**4/8 + k**3/2 - 70*k**2. Factor v(r).
3*(r - 1)**4*(r + 1)
Let j = -9 + 11. Let s be (-40)/30 + j*1. Suppose 8/3*r**3 - 2/3 - 4*r**2 - s*r**4 + 8/3*r = 0. Calculate r.
1
Let t(g) = -g + 1. Let a(m) = 9*m**3 + 15*m**2 + 15*m - 7. Let o(l) = 3*a(l) + 24*t(l). Factor o(j).
3*(j + 1)*(3*j + 1)**2
Let g(d) = d - d + 0*d - 2 + d. Let y be g(2). Factor -1/4*z**2 + y + 0*z.
-z**2/4
Let o = -33 + 37. Factor -1/4*x**5 - 5/4*x**o - 5/2*x**3 - 5/2*x**2 - 1/4 - 5/4*x.
-(x + 1)**5/4
Suppose 0*d**2 - d**2 - 5*d**2 + 2*d + 4*d**2 = 0. Calculate d.
0, 1
Let a be ((-1)/5*-3)/((-236)/(-1180)). Factor -4/3*y**a - 10/3*y**2 - 2/3 - 8/3*y.
-2*(y + 1)**2*(2*y + 1)/3
Suppose 3*c - 11 + 299 = 0. Let i be 2/8*c/(-84). Suppose -2/7*q**3 - i*q**5 + 0 - 4/7*q**4 + 0*q**2 + 0*q = 0. What is q?
-1, 0
Let h = -2 - 3. Let a = h - -8. Solve -2/5 + 2/5*u**2 + 2/5*u**a - 2/5*u = 0.
-1, 1
Let r = -289/30 - -65/6. Solve 2/5 + 6/5*d**2 - r*d - 2/5*d**3 = 0.
1
Factor 14/5*p - 16/5*p**2 + 4/5*p**4 - 4/5 - 2/5*p**5 + 4/5*p**3.
-2*(p - 1)**4*(p + 2)/5
Let s be (-23)/(-4) - (-33)/(-44). Let d be (6 - s) + 1 + 0. Let -4/5 - 8/5*u + u**3 + 7/5*u**d = 0. What is u?
-2, -2/5, 1
Let b be 80/280 + (-24)/(-14). Factor 27/7 + 3/7*w**b - 18/7*w.
3*(w - 3)**2/7
Let s(q) = -q**2 + 4. Suppose 4*i - 5*z - 2 = -5, -3*i + 2*z = 4. Let c(r) = -r**2 + 4. Let y(w) = i*s(w) + 3*c(w). Solve y(v) = 0 for v.
-2, 2
Suppose -2*s + 3*t = -11, 0 = 3*s + 3*t + 2*t + 12. Let o(v) be the first derivative of -1/6*v**3 - 1/2*v**2 - 1/2*v - s. Find x, given that o(x) = 0.
-1
Let d(k) be the third derivative of k**8/336 - 2*k**7/105 + k**6/20 - k**5/15 + k**4/24 - 3*k**2. What is j in d(j) = 0?
0, 1
Factor 3*z**5 + 12*z**3 - 9*z**4 + z**5 - 3*z**4 - 4*z**2.
4*z**2*(z - 1)**3
Let c(g) = -g**3 - 8*g**2 + 8*g - 6. Let r(j) = j**2 - 11*j - 9. Let b be r(11). Let s be c(b). Factor 2/3*f**s - 4/3*f**2 + 0 + 2/3*f.
2*f*(f - 1)**2/3
Let o(v) be the second derivative of -1/3*v**2 - 1/15*v**5 + 0 + 2*v + 0*v**4 + 1/45*v**6 + 2/9*v**3. Factor o(t).
2*(t - 1)**3*(t + 1)/3
Find v, given that -5 + 0*v + 5*v - 15*v**2 + 11*v - v + 5*v**3 = 0.
1
Let o(d) = -d + 1. Let j(g) = -g**2 + 3*g - 4. Let u(r) = j(r) + 6*o(r). Let x be u(-3). Factor 0*y - 8/3*y**4 + 10/9*y**5 + x*y**3 + 0 - 4/9*y**2.
2*y**2*(y - 1)**2*(5*y - 2)/9
Determine t so that 5/4*t**3 + 1/4*t**5 + t**4 + 1/2*t**2 + 0 + 0*t = 0.
-2, -1, 0
Let r(s) be the second derivative of -s**4/4 + 7*s. Factor r(z).
-3*z**2
Let y(x) be the third derivative of -1/6*x**3 - 5/48*x**4 + 2*x**2 + 0 - 1/30*x**5 - 1/240*x**6 + 0*x. Suppose y(n) = 0. What is n?
-2, -1
Suppose 2*y - 10 = 4*z + 8, -30 = 4*z + 2*y. Let c be z*(1 - (-10)/(-6)). Suppose 0*o**4 - 2*o**3 + o**c - 3*o**2 + 4*o**2 = 0. Calculate o.
0, 1
Let i(z) be the third derivative of -z**6/24 + z**5/6 + 35*z**4/24 + 10*z**3/3 - z**2. Determine x so that i(x) = 0.
-1, 4
Suppose s = -0*s - 3*j + 9, 2*j - 46 = -4*s. Suppose -p = -g + p - 6, -4*g - p + s = 0. Find x such that -2/7*x**g + 2/7*x + 0 = 0.
0, 1
Let z(f) be the first derivative of f**4 - 2*f**2 - 11. Factor z(t).
4*t*(t - 1)*(t + 1)
Suppose 3*l - 5*g = 5 + 6, 2*l - 8 = 4*g. Let p be (l - (-2 + 2)) + -2. Factor 1/4*w**3 - 1/2*w**4 + 0*w**2 + 1/4*w**5 + p + 0*w.
w**3*(w - 1)**2/4
Let t = -2/45 - -32/45. Solve 2/3*p**2 + 0*p - 2/3*p**4 + 2/3*p**3 + 0 - t*p**5 = 0 for p.
-1, 0, 1
Let k(l) be the third derivative of -l**8/336 + l**7/210 + l**6/40 - l**5/60 - l**4/12 - 25*l**2. Determine m so that k(m) = 0.
-1, 0, 1, 2
Let t(d) be the third derivative of 0*d - 1/1260*d**7 - 1/720*d**6 + 0*d**4 + 1/360*d**5 + 1/2016*d**8 + 0*d**3 - d**2 + 0. Factor t(f).
f**2*(f - 1)**2*(f + 1)/6
Let l(s) = 2*s**5 + 2*s**4 + 6*s**3 - 14*s**2 + 4*s + 12. Let o(n) = -n**4 + n**3 - 1. Let q(v) = -l(v) - 12*o(v). Factor q(p).
-2*p*(p - 2)*(p - 1)**3
Let s(f) be the first derivative of -1/3*f**3 + 2 + 0*f**2 + f. Factor s(j).
-(j - 1)*(j + 1)
What is s in -4/5*s + 0 + 2/5*s**3 - 2/5*s**2 = 0?
-1, 0, 2
Let d(g) be the first derivative of -7*g**4/22 + 32*g**3/33 - 4*g**2/11 - 42. Let d(m) = 0. What is m?
0, 2/7, 2
Suppose 8*l - 5*l - 36 = 0. Factor 0*k**4 - 2*k**4 - k**4 - 9*k**3 + 3*k**2 - l*k**2 - 3*k.
-3*k*(k + 1)**3
Let v(q) = 21*q**4 - 106*q**3 - 45*q**2 + 70*q - 6. Let i(t) = -20*t**4 + 105*t**3 + 45*t**2 - 70*t + 5. Let m(r) = 6*i(r) + 5*v(r). Factor m(y).
-5*y*(y - 7)*(y + 1)*(3*y - 2)
Let s be (3 - 2)*(-4)/(-2). Suppose 2*i = 2*n + 4*i + 4, 4*n = 5*i + 28. Factor s + 2*q + 0*q**2 + n*q + 2*q**2.
2*(q + 1)**2
Let i be 44/8 + 2/(-4). Let -i*q**2 - 2*q**2 - 1 + q**2 + 7*q**2 = 0. What is q?
-1, 1
Let t(v) be the third derivative of v**7/1365 + v**6/780 - v**5/390 - v**4/156 + v**2. Determine y so that t(y) = 0.
-1, 0, 1
Let b = 159 - 475/3. Factor -2 - 4/3*g + b*g**2.
2*(g - 3)*(g + 1)/3
Let z be 2/14 + 27/7. Let o = -2 + z. Factor 0 - 4/5*l + 2/5*l**o.
2*l*(l - 2)/5
Suppose 61*m - 63*m + 4 = 0. Factor -1/3*x**4 + 0 + 0*x + 0*x**m - 1/3*x**5 + 2/3*x**3.
-x**3*(x - 1)*(x + 2)/3
Let i(b) be the second derivative of b**7/7560 - b**5/1080 + 2*b**3/3 - 3*b. Let c(h) be the second derivative of i(h). Factor c(z).
z*(z - 1)*(z + 1)/9
Let p = -25/8 - -307/88. Solve -p*f - 2/11*f**3 - 6/11*f**2 + 0 = 0.
-2, -1, 0
Let w(p) be the first derivative of -3 + p**6 - p**2 - 16/5*p**5 + 0*p**3 + 3*p**4 + 0*p. Suppose w(y) = 0. What is y?
-1/3, 0, 1
Solve 180*p**4 + 16*p**2 + 2*p**3 - 26*p**3 - 88*p**3 = 0 for p.
0, 2/9, 2/5
Let f(z) be the first derivative of 0*z + 4/3*z**3 + z**2 + 1/2*z**4 - 6. Factor f(a).
2*a*(a + 1)**2
Suppose 0 = -2*t + 6*t. Let i(j) be the first derivative of 1/4*j**2 - 2/5*j**5 + 1/2*j**3 + 0*j**4 + t*j + 1. What is m in i(m) = 0?
-1/2, 0, 1
What is m in 9*m**5 + 5 - 20*m**3 + 14*m - 4*m**4 - 1 + 0*m**5 - 3*m**5 = 0?
-1, -1/3, 1, 2
Let u(o) be the first derivative of -1/15*o**3 + 4 + 0*o**2 + 1/5*o. Suppose u(c) = 0. Calculate c.
-1, 1
Find b such that -b**4 + 0*b**2 + 0*b + 0 - 1/2*b**3 - 1/2*b**5 = 0.
-1, 0
Let s(x) be the second derivative of -4*x + 1/4*x**2 + 0 - 1/6*x**3 + 1/24*x**4. Factor s(g).
(g - 1)**2/2
Let f = 65/7 + -318/35. Factor 2/5*b**3 + 0 - f*b**2 - 1/5*b**4 + 0*b.
-b**2*(b - 1)**2/5
Let f(v) be the third derivative of -v**6/420 + v**5/35 - v**4/7 + 8*v**3/21 - 30*v**2. Factor f(s).
-2*(s - 2)**3/7
Let f(a) = -8*a**4 + 11*a**3 - 6*a - 2. Let t(o) = -9*o**4 + 12*o**3 - 6*o - 3. Let q(d) = 6*f(d) - 5*t(d). Factor q(k).
-3*(k - 1)**3*(k + 1)
Let n = 90 - 323. Let q = n - -1169/5. Factor 0 + 0*f**3 - 2/5*f**5 + 2/5*f - 4/5*f**4 + q*f**2.
-2*f*(f - 1)*(f + 1)**3/5
Suppose -1/5*a + 1/5*a**3 + 2/5*a**2 - 2/5 = 0. What is a?
-2, -1, 1
Let j(p) be the third derivative of 1/4*p**4 - 1/30*p**5 + 0*p - 2/3*p**3 + 0 - p**2. Solve j(z) = 0 for z.
1, 2
Let y(r) = -4*r + 15. Let u be y(3). Factor 4*h**4 + 7/2*h**u + h**2 + 3/2*h**5 + 0*h + 0.
h**2*(h + 1)**2*(3*h + 2)/2
Let f(x) = 126*x**4 + 352*x**3 + 214*x**2 + 50*x + 6. Let g(c) = 125*c**4 + 352*c**3 + 213*c**2 + 50*c + 7. Let q(l) = -3*f(l) + 2*g(l). Factor q(y).
-2*(y + 2)*(4*y + 1)**3
Suppose