2*q**2 - 5*q - 3. Let t(a) = a**5 + a**4 + 5*a**3 - 3*a**2 + 4*a + 2. Let r(f) = 2*b(f) + 3*t(f). Solve r(y) = 0 for y.
-2, 0, 1
Solve -1/2*x**2 + 0 - 1/2*x**5 + 1/2*x**4 + 1/2*x**3 + 0*x = 0.
-1, 0, 1
Let b(x) be the first derivative of -49*x**5/5 - 35*x**4/2 + 52*x**3/3 - 4*x**2 + 2. Factor b(w).
-w*(w + 2)*(7*w - 2)**2
Determine b, given that -1/4*b + 7/8*b**2 + 0 = 0.
0, 2/7
Suppose 3*k = 6*k. Let z be (-8 - -4)*2/(-4). Let 0*m + k + 10/9*m**5 + 0*m**z - 14/9*m**4 + 4/9*m**3 = 0. Calculate m.
0, 2/5, 1
Factor -12 - 6*t + 5*t**2 - 9*t**2 + 26*t - 4*t**3.
-4*(t - 1)**2*(t + 3)
Factor 10*k + 28*k**3 + 26*k - 4*k**4 - 81*k**2 + 21*k**2.
-4*k*(k - 3)**2*(k - 1)
Let o = 385/3 - 127. Find t such that -o*t + 2*t**2 - 2/3 = 0.
-1/3, 1
Let 0 + 0*w**4 - 6/5*w**2 + 0*w - 9/5*w**3 + 3/5*w**5 = 0. What is w?
-1, 0, 2
Let t(h) be the third derivative of -h**7/252 + h**5/24 + 5*h**4/72 + 14*h**2. Factor t(z).
-5*z*(z - 2)*(z + 1)**2/6
Let r be (2 - 45/6)*-4. Factor -r + 9 + 10 + 6*j**2 - 3*j**4.
-3*(j - 1)**2*(j + 1)**2
Let j = 10 + -6. Let s be (4 - 14/3)*-1. Factor -1/3*v**j + 0*v**2 + 2/3*v + 1/3 - s*v**3.
-(v - 1)*(v + 1)**3/3
Suppose 8*i - 5*i + 503 = -d, 0 = i - 5*d + 157. Let m = 505/3 + i. Determine h so that 0 + m*h - 2/3*h**2 = 0.
0, 2
Let h(u) be the second derivative of -u**6/90 + u**5/15 - u**4/6 + 2*u**3/9 - u**2/6 - 6*u. Solve h(q) = 0 for q.
1
Let j(n) = 3*n**2 - 2. Let h be j(1). Let k(b) be the first derivative of 0*b - 1/4*b**4 + h + 1/2*b**2 + 0*b**3. Factor k(q).
-q*(q - 1)*(q + 1)
Let b(j) = -1. Let d(h) = 5*h**3 - 15*h**2 + 17. Let y(w) = -3*b(w) + d(w). Factor y(i).
5*(i - 2)**2*(i + 1)
Suppose -151 = 4*d + 33. Let u = d - -48. Suppose -2/3*x + 2/3*x**u + 0 = 0. What is x?
0, 1
Let x(q) = 8*q**2 + 11*q - 5. Let l(j) = -j**2 - 1. Let p(h) = 14*l(h) + 2*x(h). Factor p(f).
2*(f - 1)*(f + 12)
Suppose r + 4*r = 0. Let h(m) be the first derivative of 1/4*m**4 + 0*m**2 - 1/3*m**3 - 1 + r*m - 1/6*m**6 + 1/5*m**5. Factor h(z).
-z**2*(z - 1)**2*(z + 1)
Suppose 0 = 3*m - 22 + 16. Factor -6*g**2 + 2*g**4 + 4 + 6*g**3 - m*g - 6*g**3 + 2*g**3.
2*(g - 1)**2*(g + 1)*(g + 2)
Suppose -30*r = -94 + 34. Factor -2/7*p**r + 0 + 0*p.
-2*p**2/7
Let m(o) be the second derivative of 0*o**2 - 1/35*o**5 - 1/7*o**4 + 0 - 4/21*o**3 - o. Factor m(c).
-4*c*(c + 1)*(c + 2)/7
Suppose 13*m**2 - 8*m + 14*m**2 - 23*m**2 + 4 = 0. Calculate m.
1
Let s(p) be the second derivative of p**8/560 + p**7/140 + p**6/120 - 5*p**3/6 + p. Let q(i) be the second derivative of s(i). Factor q(a).
3*a**2*(a + 1)**2
Let b = 3 + 6. Let h = b - 5. Factor -1/4*w + 1/4 - 1/2*w**2 + 1/4*w**h - 1/4*w**5 + 1/2*w**3.
-(w - 1)**3*(w + 1)**2/4
Let a(d) be the second derivative of 7*d - 1/6*d**3 + 0 + 1/12*d**4 + 0*d**2. Find x such that a(x) = 0.
0, 1
Suppose 3*h - 18 = -h + x, -2 = h + 3*x. Suppose -h*n + 5*d = -9, d - 2 = -3*n - 0*n. Factor -n - 3/4*a**2 - 27/4*a**3 + 5*a.
-(a + 1)*(3*a - 2)*(9*a - 2)/4
Let a(j) be the second derivative of -3*j**5/140 + j**4/28 + 2*j**3/7 - 6*j**2/7 - 4*j. Factor a(g).
-3*(g - 2)*(g - 1)*(g + 2)/7
Suppose 37/6*g + 5/2*g**3 - 1/6*g**4 - 2 - 13/2*g**2 = 0. What is g?
1, 12
Let u be ((-5)/(-6))/((-2)/(-6)*2). Let k(a) be the second derivative of -u*a**3 - 4*a - 7/8*a**4 + 0 + 3/2*a**2. Find d such that k(d) = 0.
-1, 2/7
Let y be (5 + -4 + 2)/1. Let k(z) be the second derivative of -4*z**y + 0 + z - 3/2*z**4 - 4*z**2. Solve k(a) = 0 for a.
-2/3
Suppose 5*h - 5 = 3*o - 3, -2*h = -4*o + 16. Let q be ((-28)/35)/(o/(-5)). Factor -q*b**2 + 4/9 - 2/9*b.
-2*(b + 1)*(3*b - 2)/9
Let c(m) be the third derivative of -6*m**2 + 0*m**3 - 1/20*m**5 - 1/120*m**6 + 0*m + 0*m**4 + 0. Factor c(g).
-g**2*(g + 3)
Factor -4/7*a + 0 + 2/7*a**2.
2*a*(a - 2)/7
Let j(u) be the first derivative of -u**4/18 + u**2/3 - 7*u - 4. Let m(h) be the first derivative of j(h). Factor m(k).
-2*(k - 1)*(k + 1)/3
Let p be 2/((-236)/(5 - 1)). Let a = p + 63/118. Solve -1/2 - 3/2*i**2 + a*i**3 + 3/2*i = 0 for i.
1
Let h = 29/7 - 11/7. Let 54/7 - 54/7*d - 2/7*d**3 + h*d**2 = 0. What is d?
3
Let i(w) be the second derivative of -w**6/540 + w**4/36 - w**3/6 + 2*w. Let g(y) be the second derivative of i(y). Factor g(k).
-2*(k - 1)*(k + 1)/3
Let o be ((-1180)/(-24) - -3)*-3. Let k = -143 - o. What is q in -3 - 21/2*q - k*q**2 - 15/2*q**3 - 3/2*q**4 = 0?
-2, -1
Determine r so that -44*r**2 - 4*r**3 + 0*r**3 + 40*r**2 = 0.
-1, 0
Let x(h) be the second derivative of -3*h**5/40 - h**4/24 + 5*h**3/36 - h**2/12 - 3*h. Determine u so that x(u) = 0.
-1, 1/3
Let f(l) be the third derivative of 0 + 0*l - 10*l**2 + 0*l**3 + 1/20*l**5 - 1/4*l**4. Factor f(b).
3*b*(b - 2)
Find y such that 2/7*y**2 - 8/7*y - 10/7 = 0.
-1, 5
Suppose -4*c - 41 + 137 = 0. Determine h, given that h**4 + c*h - h**3 - 24*h = 0.
0, 1
Let f(b) = b + 3. Let l be f(-5). Let v be (-2)/(-8) + l/8. Factor -1/5*x**4 - 2/5*x + 1/5*x**2 + v + 2/5*x**3.
-x*(x - 2)*(x - 1)*(x + 1)/5
Let w(r) = 2*r + 27. Let b be w(-11). Suppose -d + b*d = 0. Factor d - 1/3*u**2 + 0*u.
-u**2/3
Suppose -4*h + 21 = 5. Let u(q) = 3*q**2 - q - 2. Let c(d) = -2*d**2 + 2. Let x(w) = h*u(w) + 3*c(w). Factor x(g).
2*(g - 1)*(3*g + 1)
Let z(p) be the third derivative of p**7/420 - p**6/120 + p**5/120 - 5*p**2. Factor z(k).
k**2*(k - 1)**2/2
Let p(z) be the first derivative of -z**5/5 - z**4 - 5*z**3/3 - z**2 + 36. Factor p(i).
-i*(i + 1)**2*(i + 2)
Let q(y) = y**3 + 10*y**2 - 13*y - 17. Let w be q(-11). Factor -4/3*v**4 + 16/3*v**2 + 4/3*v**3 + 14/3*v - 2/3*v**w + 4/3.
-2*(v - 2)*(v + 1)**4/3
Factor -n**3 - 6 + n**4 + 4 + 2.
n**3*(n - 1)
Suppose v - 1 = 4, 2*j + 5*v - 75 = 0. Let s be (4/j)/(2/5). Let -2/5*u**2 - 4/5*u - s = 0. What is u?
-1
Let k(b) be the second derivative of b**5/10 - b**4/6 - b**3/3 + b**2 - 17*b. Factor k(s).
2*(s - 1)**2*(s + 1)
Let d(b) be the first derivative of -2*b**6/9 + 2*b**5/15 + b**4/3 - 2*b**3/9 - 4. Let d(j) = 0. Calculate j.
-1, 0, 1/2, 1
Let v(f) be the second derivative of 0 + 0*f**3 + 1/12*f**4 - f - 1/2*f**2. Factor v(d).
(d - 1)*(d + 1)
Let d(n) = -n. Let x(k) = 3*k + 8. Let a(j) = -2*d(j) - 2*x(j). Let m be a(-4). Factor 0 + m*f + 0*f**2 + 1/2*f**3.
f**3/2
Factor 32 - 16 + 0*s + 0*s - 8*s + s**2.
(s - 4)**2
Let i be (-10)/(-4) - (-1)/(-2). Let a be -3 - -22*(-3)/(-6). Let a*x + x - 6*x**2 - 3*x + 2*x**3 - i = 0. What is x?
1
Suppose 14*j**3 - 48 - 59*j**2 + 22*j**2 - 120*j - 38*j**2 - 3*j**5 + 15*j**4 + j**3 = 0. Calculate j.
-1, 4
Let h be (3/(-10))/((-6)/5). Let o = 3/4 - h. Determine l, given that o*l**3 + 1/2*l + 0 - l**2 = 0.
0, 1
Suppose -21 = -5*r + l, 3*r + 4*l - 8 = -0*l. Let w = -5 - -16. Let -c**2 - w*c + c - 2*c**3 + r + 9*c**2 = 0. Calculate c.
1, 2
Let y be (-3)/7 - (-1611)/966. Let w = y - -6/23. Determine b, given that -3/2*b**2 + 3/2*b**4 - 3/2*b**5 + w*b**3 + 0 + 0*b = 0.
-1, 0, 1
Let 10*k**3 - 40 + 79*k + 5*k**3 + 21*k - 70*k**2 = 0. What is k?
2/3, 2
Let j(l) be the second derivative of -l**8/1344 - l**7/840 + l**6/480 + l**5/240 + 3*l**2/2 - l. Let i(y) be the first derivative of j(y). Factor i(r).
-r**2*(r - 1)*(r + 1)**2/4
Find y such that 0 + 4/15*y**2 + 2/15*y - 2/5*y**3 = 0.
-1/3, 0, 1
Suppose 0 + 0*o + 1/4*o**3 - 1/8*o**4 + 3/8*o**2 = 0. Calculate o.
-1, 0, 3
Let v(z) be the third derivative of -z**7/420 + z**5/40 + z**4/24 + 37*z**2. Factor v(p).
-p*(p - 2)*(p + 1)**2/2
Suppose 4*f + h = 17, -5*f + 2 + 18 = h. Let s(i) be the third derivative of -1/54*i**4 + 0 + 0*i**f - 1/270*i**5 + 2*i**2 + 0*i. Suppose s(a) = 0. What is a?
-2, 0
Let j(a) be the second derivative of -1/18*a**4 + 1/15*a**5 + 0*a**3 - 1/45*a**6 + 0 + 0*a**2 + 3*a. Solve j(w) = 0.
0, 1
Let w(x) be the third derivative of -x**7/560 + x**6/80 - x**5/40 - x**3/6 + 3*x**2. Let o(b) be the first derivative of w(b). Factor o(q).
-3*q*(q - 2)*(q - 1)/2
Determine m so that 1/2*m**3 - 1/2*m + 0*m**2 + 0 = 0.
-1, 0, 1
Factor 8/7*m - 12/7*m**2 + 8/7*m**3 - 2/7 - 2/7*m**4.
-2*(m - 1)**4/7
Let u(q) be the first derivative of q**3 + 9/2*q**2 - 6*q + 3/5*q**5 - 9/4*q**4 + 6. Suppose u(m) = 0. Calculate m.
-1, 1, 2
Factor -4*p + 2*p**2 - 3*p**2 + 0*p**2 - 4.
-(p + 2)**2
Let h(m) = -m**2 - 13*m - 28. Let v be h(-10). Suppose 2/13*l**3 + 8/13*l**v + 4/13 + 10/13*l = 0. What is l?
-2, -1
Let a(u) be the third derivative of -u**6/180 + u**5/5 - 8*u**4/3 + 128*u**3/9