1
Let x = 8 + -5. Let o be (3/(-2)*-7)/x. Factor j + 9/2*j**3 + 1/2*j**5 + o*j**2 + 5/2*j**4 + 0.
j*(j + 1)**3*(j + 2)/2
Factor -16/23*a + 2/23*a**2 - 18/23.
2*(a - 9)*(a + 1)/23
Let v(b) be the first derivative of -b**6/3 - 4*b**5/5 - b**4/2 - 7. Find o such that v(o) = 0.
-1, 0
Determine k so that 2*k**3 + k**3 + 4*k**2 - 7*k**2 = 0.
0, 1
Let h be 3 - (1 + -2 + -94). Suppose -10*p = -5*p - 25. Find a, given that h*a**p + 3 - 64*a - 11 - 146*a**2 + 14*a**3 + 154*a**4 - 48*a**3 = 0.
-1, -2/7, 1
Factor 2/19*d**4 + 0 + 6/19*d**3 + 0*d + 4/19*d**2.
2*d**2*(d + 1)*(d + 2)/19
Let o(t) be the first derivative of -8*t**2 + 10/3*t**3 + 8*t - 4 - 1/2*t**4. Find a such that o(a) = 0.
1, 2
Factor -269*s**4 + 132*s**4 + 134*s**4 + 3*s**3.
-3*s**3*(s - 1)
Determine q so that 6*q - 5*q - 2*q**2 + q**2 = 0.
0, 1
Let k = -5/4 + 33/20. Factor -2/5 + k*m**2 + 0*m.
2*(m - 1)*(m + 1)/5
Let o = 11 + -9. Let a be 1*-3*((-220)/105 + 2). Solve -2/7*q**3 - 2/7 + a*q**o + 2/7*q = 0 for q.
-1, 1
Let p be 2/(-4)*3 + 11/2. Factor -2*f**3 - 2*f**2 - 2/3*f**p + 0 - 2/3*f.
-2*f*(f + 1)**3/3
Let l(w) = -w**3 + 4*w**2 + 4*w + 7. Suppose 3*t = 6, 2*m = -0*m + 5*t. Let q be l(m). Factor -1/3 + 1/3*b**3 - 1/3*b + 1/3*b**q.
(b - 1)*(b + 1)**2/3
Let d(t) be the first derivative of -t**7/1260 - t**6/540 + t**3/3 + 1. Let m(q) be the third derivative of d(q). Solve m(v) = 0.
-1, 0
Let f = 271/18 + -89/6. Let -f*x**2 + 2/9*x + 4/9 = 0. Calculate x.
-1, 2
Let w be (-28)/(-35)*5/2. Let n(y) be the second derivative of 0*y**3 - 1/12*y**4 + 1/30*y**6 + 0*y**w - 2*y + 0 + 0*y**5. Factor n(m).
m**2*(m - 1)*(m + 1)
Suppose -4*b + 5*n + 17 = 0, 0 = -3*b - 2*b - 3*n + 12. Let 2*q**2 - q**5 + 6*q**4 - 2*q**5 + 6*q**b + 5*q**5 = 0. What is q?
-1, 0
Let j be (-22)/14 - -2 - 63/147. Suppose 2/3*c**3 + j + 1/3*c**4 + 0*c + 1/3*c**2 = 0. What is c?
-1, 0
Let t(z) be the second derivative of -z**7/56 - z**6/20 - 3*z**5/80 - 11*z. Factor t(c).
-3*c**3*(c + 1)**2/4
Let l(b) be the second derivative of -1/70*b**5 + 4*b + 3/7*b**2 + 0 - 1/3*b**3 + 5/42*b**4. Factor l(i).
-2*(i - 3)*(i - 1)**2/7
Let h = 84 + -2939/35. Let n(r) be the third derivative of -1/147*r**7 + 4/21*r**3 - 1/7*r**4 - 2*r**2 + 1/210*r**5 + h*r**6 + 0*r + 0. Solve n(x) = 0.
-1, 2/5, 1, 2
Let v(l) be the third derivative of -l**7/70 + l**6/20 - l**4/4 + l**3/2 + 30*l**2. Factor v(b).
-3*(b - 1)**3*(b + 1)
Let u(d) be the third derivative of d**7/420 - d**5/60 - d**3 - 8*d**2. Let m(h) be the first derivative of u(h). Determine c, given that m(c) = 0.
-1, 0, 1
Let b(n) be the first derivative of n - 1/3*n**3 + 4 + 1/4*n**4 - 1/2*n**2. Factor b(w).
(w - 1)**2*(w + 1)
Let v = -5 + 7. Let w be ((-1)/2)/(0 - v). Factor 0 - 1/2*n - w*n**2.
-n*(n + 2)/4
Let z = -6 + 9. Suppose -8*c = -z*c. Factor 4/11*q + 2/11*q**2 + c.
2*q*(q + 2)/11
Let a(x) be the first derivative of -5/8*x**4 + 0*x - 3 - 1/12*x**6 - 2/5*x**5 + 0*x**2 - 1/3*x**3. Factor a(c).
-c**2*(c + 1)**2*(c + 2)/2
Factor 24/7 + 3/7*w**2 - 18/7*w.
3*(w - 4)*(w - 2)/7
Let y = 3 + -3. Let t be y/(-1) - -2 - -3. Factor -2*k**3 - 4*k**3 + t*k**3.
-k**3
Let a(k) be the second derivative of 0*k**2 - 2/21*k**3 - 5*k - 1/70*k**5 + 1/14*k**4 + 0. Suppose a(s) = 0. What is s?
0, 1, 2
Let k = -40229/54 - -745. Let i(p) be the second derivative of k*p**4 + 0*p**2 + 2*p + 0 + 0*p**3. Factor i(d).
2*d**2/9
Suppose 3*g + 24 = 3*q, 2*q + 3*q - 34 = 3*g. Let b(z) be the third derivative of 0*z - 2*z**2 + 1/150*z**q + 0*z**3 + 0 - 1/30*z**4. Solve b(p) = 0 for p.
0, 2
Suppose -y + 12 = -3*w, -2*y - w = 3*y + 4. Let o(u) be the second derivative of 0*u**2 - u + y - 1/12*u**4 - 1/6*u**3. Determine b, given that o(b) = 0.
-1, 0
Suppose -8*d = -3*d - 5, n - d = 0. Let c(s) = -4*s**3 + 2*s**2 + 2*s - 4. Let v(z) = -z**3 - 1. Let u(i) = n*c(i) - 2*v(i). Factor u(a).
-2*(a - 1)**2*(a + 1)
Let r be ((-9)/(-6))/((-2)/(-40)). Let d be (18/15)/(9/r). Solve u**d + 4/3*u**3 - 1/3*u**2 + 0 - 2/3*u = 0 for u.
-1, 0, 2/3
Factor 1/4*n**3 + 3/4*n**2 + 0 + 1/4*n**5 - 3/4*n**4 - 1/2*n.
n*(n - 2)*(n - 1)**2*(n + 1)/4
Let v(u) be the second derivative of -83521*u**6/45 + 19652*u**5/15 - 1156*u**4/3 + 544*u**3/9 - 16*u**2/3 - 13*u. Factor v(z).
-2*(17*z - 2)**4/3
Let k be ((-6)/8)/((-3)/8). Factor -k + 6 - 3 - 3 + 2*i**2.
2*(i - 1)*(i + 1)
Let n(q) be the second derivative of -1/15*q**3 + 1/50*q**5 + 0 + 0*q**2 + 2*q - 1/75*q**6 + 1/30*q**4. Suppose n(w) = 0. What is w?
-1, 0, 1
Factor -4/9 - 16/3*s**2 + 26/9*s + 2*s**3.
2*(s - 2)*(3*s - 1)**2/9
Let c = 5/91 + 9545/182. Let q = 537/10 - c. Find x, given that -2/5*x**5 - 2/5*x**2 + 0*x - q*x**3 - 6/5*x**4 + 0 = 0.
-1, 0
Let z(p) be the third derivative of -p**5/390 - 2*p**4/39 - 16*p**3/39 + 17*p**2. Let z(q) = 0. What is q?
-4
Let p(b) be the first derivative of -1/3*b**3 - 1/2*b**2 - 1/3*b - 1/12*b**4 - 1. Solve p(q) = 0.
-1
Let u(h) be the first derivative of -h**8/80 + 3*h**7/70 - h**6/40 - h**5/20 - h**3/3 + 3. Let x(r) be the third derivative of u(r). Factor x(w).
-3*w*(w - 1)**2*(7*w + 2)
Factor 0*q**2 + q - 2/3 - 1/3*q**3.
-(q - 1)**2*(q + 2)/3
Let u = 14 + -18. Let m(i) = -i - 2. Let g be m(u). Find n such that 4/3 - 4/3*n + 1/3*n**g = 0.
2
Let w(k) be the first derivative of -2*k**3/21 - 2*k**2/7 - 2*k/7 - 5. Factor w(a).
-2*(a + 1)**2/7
Let h(l) be the third derivative of -l**6/60 + l**4/4 + 2*l**3/3 - 6*l**2. Factor h(w).
-2*(w - 2)*(w + 1)**2
Let a(t) be the first derivative of -t**5/15 - t**4/12 + t**3/9 + t**2/6 + 2. What is m in a(m) = 0?
-1, 0, 1
Let n(z) be the second derivative of 3/25*z**5 + 0 - 1/50*z**6 + 2/5*z**3 - 3/10*z**2 - 3/10*z**4 + z. Find q such that n(q) = 0.
1
Suppose 20*t - 12*t**2 - 54*t**3 + 9*t**2 - 5*t**2 + 24 + 50*t**3 = 0. Calculate t.
-3, -1, 2
Let j be 3/2*18/54. Find y, given that 1/4*y**3 + 3/4*y**2 - 1/4*y - j - 1/4*y**4 = 0.
-1, 1, 2
Let m = 156 + -1354/9. Let -m*a**2 - 40/9*a - 8/9 = 0. What is a?
-2/5
Suppose -5*s - 73 = 4*p, 3*p - 75 = 8*p + 3*s. Let g be (-13)/(-6) - p/(-72). Suppose -1/4*m**g + 0 - 1/4*m = 0. What is m?
-1, 0
Let l be ((-1)/6)/(4/(-30)). Let g be 17/5 - (-18)/(-45). What is j in -1/2 - l*j**3 - 9/4*j - g*j**2 = 0?
-1, -2/5
Let g(i) be the second derivative of 0*i**2 + 2/3*i**3 + 0 - 1/10*i**5 + 3*i - 1/6*i**4. Determine a, given that g(a) = 0.
-2, 0, 1
Let p(o) be the first derivative of o**3/9 + 2*o**2/3 + 4*o/3 - 1. Factor p(b).
(b + 2)**2/3
Let r(x) be the second derivative of -4/3*x**3 + 0 - 1/7*x**7 + 4/15*x**6 - 2/3*x**4 + 7/10*x**5 + 0*x**2 - 2*x. Let r(d) = 0. Calculate d.
-1, -2/3, 0, 1, 2
Let d(f) = -5*f**2 - 6*f - 1 + 2 - 2 + 8*f. Let o(l) = l**2 - l. Suppose 0 = -2*z + 2 + 6. Let w(y) = z*o(y) + d(y). Solve w(c) = 0.
-1
Let v = -158/3 + 264/5. Let g(n) be the first derivative of -v*n**3 + 1/5*n**2 - 2 + 0*n. Solve g(s) = 0 for s.
0, 1
Let h(v) be the first derivative of -v**7/147 + v**5/35 - v**3/21 - 2*v + 2. Let u(q) be the first derivative of h(q). Factor u(d).
-2*d*(d - 1)**2*(d + 1)**2/7
Let o(a) be the second derivative of 0*a**2 + 1/40*a**5 + 0 + 1/12*a**3 - 2*a - 1/12*a**4. Solve o(f) = 0 for f.
0, 1
Factor -87 - 2*h**3 + 3*h**3 - 2*h**2 + 89 - h.
(h - 2)*(h - 1)*(h + 1)
Let r(y) = -3. Let b(d) = d**2 - d - 4. Let i(g) = 3*b(g) - 4*r(g). Factor i(w).
3*w*(w - 1)
Let m(c) be the first derivative of c**8/6720 + c**7/840 + c**6/240 + c**5/120 + c**4/96 + c**3/3 + 3. Let w(v) be the third derivative of m(v). Solve w(y) = 0.
-1
Let l be (-6 - -4 - (2 - 4))/1. Find r, given that l*r + 2/5 - 2/5*r**2 = 0.
-1, 1
Let x(o) be the first derivative of o**4/6 - 10*o**3/9 + 7*o**2/3 - 2*o - 1. Factor x(l).
2*(l - 3)*(l - 1)**2/3
Let c be (-2)/21 + 1/7. Let x(y) be the first derivative of 0*y**3 - 1/14*y**4 - 2 + 0*y**2 + 0*y - c*y**6 - 4/35*y**5. Factor x(z).
-2*z**3*(z + 1)**2/7
Let h = 0 - 1. Let s = 3 - h. Solve f**2 + 1 - s*f - 3 - 3*f**2 = 0.
-1
Solve 33/7*a**2 + 0 + 54/7*a**3 + 6/7*a + 27/7*a**4 = 0 for a.
-1, -2/3, -1/3, 0
Let q(c) be the third derivative of -c**8/2016 + c**7/84 - c**6/10 + 13*c**5/45 + c**4/3 - 4*c**3 + 24*c**2. Suppose q(s) = 0. Calculate s.
-1, 2, 6
Let n(v) be the first derivative of -v**4/34 + 10*v**3/51 - 3*v**2/17 - 18*v/17 - 4. Factor n(d).
-2*(d - 3)**2*(d + 1)/17
Let g be 98/(-21) - 0 - -5. Solve g*t**4 - 2/3*t**3 + 1/3*t**2 + 0*t + 0 = 0.
0, 1
Let v(j) = -11*j**2 -