ind d such that -1/2*d**2 - z + 3/2*d = 0.
1, 2
Solve 3*f**2 - 23*f**3 + 19*f**3 - 7*f**2 + 8*f = 0.
-2, 0, 1
What is d in -40/3*d**2 + 224/9*d + 26/9*d**3 - 2/9*d**4 - 128/9 = 0?
1, 4
Let k(m) be the first derivative of 4 + 1/12*m**4 + 4/9*m**3 + 5/6*m**2 + 2/3*m. Solve k(s) = 0 for s.
-2, -1
Suppose 2*o - 4*w = 0, -w = -2*o + o + 4. Find r such that -12*r**2 - 2*r**4 - 2 + 4*r**3 + 0 - 12*r**3 - o*r = 0.
-1
Factor -2/9*c**3 - 2/9*c**2 + 0 + 2/9*c + 2/9*c**4.
2*c*(c - 1)**2*(c + 1)/9
Let f(i) be the second derivative of 1/3*i**4 + 0 + 1/21*i**7 - 1/5*i**5 + 1/3*i**3 - 1/15*i**6 - i**2 + 2*i. Let f(g) = 0. Calculate g.
-1, 1
Let p(j) = -j**3 + 8*j**2. Let b be p(8). Determine u so that b - 1/2*u - 1/2*u**3 + u**2 = 0.
0, 1
Let b = 81/8 - 119/8. Let o = b - -5. Let 1 + q + o*q**2 = 0. What is q?
-2
Let r(q) be the third derivative of 0 + 1/60*q**5 + 1/48*q**6 + 0*q**4 + 0*q**3 + 3*q**2 + 0*q. Factor r(o).
o**2*(5*o + 2)/2
Let v(m) be the third derivative of -m**7/1680 + m**6/360 - m**5/240 + m**3/2 + 3*m**2. Let s(b) be the first derivative of v(b). Let s(k) = 0. What is k?
0, 1
Let i(x) be the second derivative of -x**5/50 - 3*x**4/5 - 36*x**3/5 - 216*x**2/5 - 31*x. Find j such that i(j) = 0.
-6
Let m be (-26)/(-9) - 8/(-72). Suppose 2*d - 5*f + 0*f = 19, 0 = 5*d + 4*f + 2. Suppose 1/3*c**m - 1/3*c + 0 + 0*c**d = 0. Calculate c.
-1, 0, 1
Let r(l) be the third derivative of -l**2 + 0*l**4 + 0*l + 0 + 0*l**5 + 0*l**3 - 1/168*l**7 + 1/448*l**8 + 1/240*l**6. Factor r(c).
c**3*(c - 1)*(3*c - 2)/4
Let p(z) = 3 + 0 - 6*z**3 - 3*z**4 - 6 + 3*z**2. Let u(x) = -x**5 - x**4 + x**2 - x - 1. Let v(d) = p(d) - 3*u(d). Find n, given that v(n) = 0.
-1, 0, 1
Let x = -4 - -6. Suppose 4*f + 5*l - 33 = 0, -5*f = -3*f + l - 9. Determine r so that r + 4*r - 3*r + f*r**x = 0.
-1, 0
Let r be 8/(-12) - (-17)/3. Let i be 4/15*r/2. Find m such that 0 + i*m - 1/3*m**2 = 0.
0, 2
Let p(g) be the first derivative of 0*g**3 + g**2 + 0*g - 2 + 0*g**5 - g**4 + 1/3*g**6. Determine y so that p(y) = 0.
-1, 0, 1
Factor -382*l**3 - 3*l**4 + 382*l**3.
-3*l**4
Let s(r) = 9*r - 4. Let k be s(9). Let q = k - 382/5. Suppose -3/5 + q*t**3 + 3/5*t**2 - 3/5*t = 0. Calculate t.
-1, 1
Suppose d = 5*d - 8. Suppose 2/5*o**4 - 6/5*o**d + 0 + 4/5*o + 0*o**3 = 0. Calculate o.
-2, 0, 1
Suppose -18 = -9*r + 3*r. Factor 0*s**r + 0*s + 8/9*s**5 + 0 + 0*s**2 - 2/9*s**4.
2*s**4*(4*s - 1)/9
Let k(d) be the third derivative of -1/6*d**3 + 1/120*d**5 + 0 + 1/720*d**6 + 0*d + 1/48*d**4 + 3*d**2. Let t(y) be the first derivative of k(y). Factor t(i).
(i + 1)**2/2
Factor -9*s**2 - s**2 + 12*s**3 - 14*s**3.
-2*s**2*(s + 5)
Let n = 962/717 + -2/239. Let t be ((-60)/9)/((-2)/4). Suppose -n*p**2 + 0 - 10/3*p**3 + 0*p + t*p**5 + 34/3*p**4 = 0. What is p?
-1, -1/4, 0, 2/5
Find j, given that 2/5*j + 0 - 1/5*j**2 = 0.
0, 2
Let n(q) be the third derivative of q**5/60 - q**4/24 - 5*q**2. Factor n(j).
j*(j - 1)
Let t(d) be the first derivative of 1/3*d**3 - 2*d + 0*d**2 - 1/12*d**4 + 1. Let h(a) be the first derivative of t(a). Find c such that h(c) = 0.
0, 2
Let v be 4/(-10) - 408/(-270). Factor -v*n - 2/3*n**2 - 4/9.
-2*(n + 1)*(3*n + 2)/9
Factor 9 + 1/4*m**2 + 3*m.
(m + 6)**2/4
Let f(l) = -6 - 5 + 8*l - 97*l**2 + 115*l**2 - 15*l**3. Let q(z) = 14*z**3 - 18*z**2 - 8*z + 12. Let s(x) = 4*f(x) + 3*q(x). Factor s(r).
-2*(r - 1)*(3*r - 2)*(3*r + 2)
Suppose 64 = 2*m - 122. Let k = m + -66. Factor 39*f**2 + 12 - 119*f**3 + 23*f + 29*f**3 + k*f**4 + 37*f.
3*(f - 2)**2*(3*f + 1)**2
Let j be (6/(-8))/(81/(-18)). Let p(v) be the first derivative of 4/3*v**3 + 0*v + j*v**6 + 3 + 3/2*v**4 + 4/5*v**5 + 1/2*v**2. Find y, given that p(y) = 0.
-1, 0
Let b(r) = r**2 + 2*r - 5. Let s be b(-4). Factor s*a**2 - 2 + 0*a**2 + 4*a + 0 - 5*a**2.
-2*(a - 1)**2
Suppose -1/2*t + 1/4 + 1/4*t**2 = 0. What is t?
1
Let l = 44 + -44. Let g(c) be the second derivative of -2*c + l + 1/6*c**4 + 2/3*c**3 + c**2. Find x such that g(x) = 0.
-1
Let x be ((-20)/135)/((-10)/60). Factor -4/3*m - 1/9*m**3 + 2/3*m**2 + x.
-(m - 2)**3/9
Let z(j) be the third derivative of j**6/840 - j**5/420 - j**4/84 + 7*j**2. Factor z(p).
p*(p - 2)*(p + 1)/7
Let b = -3 + 8. Let m(p) = -4*p + 3*p**5 - 5 - p**4 - p - 2*p**4. Let w(o) = -4*o**5 + 4*o**4 + 6*o + 6. Let f(h) = b*w(h) + 6*m(h). Factor f(k).
-2*k**4*(k - 1)
Factor 32/9 + 50*q**4 + 752/9*q**2 + 256/9*q + 320/3*q**3.
2*(3*q + 2)**2*(5*q + 2)**2/9
Suppose -h + 6*h = 0. Suppose 3*l = -h + 6. Factor 3*v**l + v**2 - 5*v**2 - 1 + 0 + 2*v.
-(v - 1)**2
Let t(i) be the first derivative of 0*i**4 + 2/5*i**5 + 0*i**2 - 6 + 0*i**3 + 0*i + 1/3*i**6. Factor t(g).
2*g**4*(g + 1)
Let 1 + 5*y**2 + y**3 - 3 + 6 + 8*y + 0*y**2 = 0. Calculate y.
-2, -1
Let r be (-1)/1 + 5 + -1. Factor 2*i**4 - i**r + 0*i**3 + 0*i**4 + 0*i**5 - i**5.
-i**3*(i - 1)**2
Let g(i) be the first derivative of -i**6/6 + 3*i**5/5 - 3*i**4/4 + i**3/3 - 2. Let g(v) = 0. Calculate v.
0, 1
Factor -3/5*h**3 - 3/5*h + 0 + 6/5*h**2.
-3*h*(h - 1)**2/5
Let g(l) be the second derivative of 2*l**7/21 - 14*l**6/15 + 19*l**5/5 - 25*l**4/3 + 32*l**3/3 - 8*l**2 - 22*l. Factor g(f).
4*(f - 2)**2*(f - 1)**3
Factor -9*c**4 + 4*c**3 + 3*c**5 - 7*c + 3 - 1 - 2*c**4 + 3*c**4 + 6*c**2.
(c - 1)**3*(c + 1)*(3*c - 2)
Let v be 24/96 + (-7)/(-4). Let -2/5*u**3 + 0 - 2/5*u**4 + 2/5*u**v + 2/5*u = 0. Calculate u.
-1, 0, 1
Let z(p) = 4*p**3 + 4*p**2. Let d(n) = n**3 + n**2. Let b(x) = 3*d(x) - z(x). Factor b(i).
-i**2*(i + 1)
Let p(s) = s**2 + 1. Let t(a) = 3*a**2 - 40*a + 78. Let z(w) = 2*p(w) + t(w). Suppose z(f) = 0. Calculate f.
4
Factor 3/4*x - 3/4*x**2 - 3/4*x**3 + 3/4.
-3*(x - 1)*(x + 1)**2/4
Let o(a) = 3*a**3 - 12*a**2 + 9*a. Let j(x) = -3*x**3 + 13*x**2 - 9*x - 1. Let z(v) = 3*j(v) + 4*o(v). Factor z(u).
3*(u - 1)**3
Let h(d) be the third derivative of -1/24*d**4 + 0 + 0*d + 2/3*d**3 + 1/60*d**5 - 2*d**2 - 1/360*d**6. Let o(u) be the first derivative of h(u). Factor o(x).
-(x - 1)**2
Let w be 2/(-2)*(-1 - 1). Let k(c) be the first derivative of -4/3*c**w - 2 + 5/9*c**3 + 4/3*c - 1/12*c**4. Factor k(p).
-(p - 2)**2*(p - 1)/3
Factor 2/13*g**5 + 12/13*g**3 + 2/13*g + 8/13*g**2 + 8/13*g**4 + 0.
2*g*(g + 1)**4/13
Let t(l) = -2*l**4 + 4*l**3 - 8*l**2 - 2. Let a(q) = -3*q**4 + 5*q**3 - 9*q**2 - 3. Let x(g) = 4*a(g) - 5*t(g). Find r, given that x(r) = 0.
-1, 1
Let g be 119/21 - 1*-5. Factor -2/3*t**2 + 16/3*t - g.
-2*(t - 4)**2/3
Suppose 0 = -7*w + 39 - 4. Factor 0*j**3 - 1/2*j**4 + 1/2*j**2 + 1/4*j - 1/4*j**w + 0.
-j*(j - 1)*(j + 1)**3/4
Suppose -48 = -k + 3*k. Let x = -22 - k. What is l in 6/5*l + 4/5 - 6/5*l**3 - 4/5*l**x = 0?
-1, -2/3, 1
Let s(h) be the third derivative of -h**5/420 - h**4/42 - 2*h**3/21 + 6*h**2. Factor s(z).
-(z + 2)**2/7
Suppose 2*k + 5 = d + k, 0 = -d + 4*k + 8. Suppose 4*f + 8 = d*i, 2*i = -0*i + 8. Factor o**3 - f*o**3 + 2*o**2 + o**5 - o**2 - o**4.
o**2*(o - 1)**2*(o + 1)
Let b = 827/15 + -55. Let h(j) be the second derivative of 3*j + b*j**3 + 0*j**2 + 1/30*j**4 - 1/50*j**5 + 0. Determine f so that h(f) = 0.
-1, 0, 2
Suppose z = -2*z - 5*y - 4, y + 6 = 2*z. Let o = 32/7 + -274/63. Solve 2/9*x**z - 2/9*x - o + 2/9*x**3 = 0 for x.
-1, 1
Let b(q) be the first derivative of 0*q**3 + 0*q**2 + 0*q + 3 + 0*q**4 + 1/2*q**6 + 3/5*q**5. Determine w, given that b(w) = 0.
-1, 0
Let j(a) be the third derivative of -1/80*a**5 + 3*a**2 - 1/32*a**4 - 1/480*a**6 + 0*a - 1/24*a**3 + 0. Factor j(q).
-(q + 1)**3/4
Let g = -2919/5 + 584. Factor 2/5*w**3 - 1/5*w**4 - 1/5*w - 1/5 + 2/5*w**2 - g*w**5.
-(w - 1)**2*(w + 1)**3/5
Let s(m) be the third derivative of -3*m**6/200 + m**5/25 + m**4/8 - m**3/5 + m**2. Factor s(c).
-3*(c - 2)*(c + 1)*(3*c - 1)/5
Let x(r) be the third derivative of 49*r**5/20 - 7*r**4/2 + 2*r**3 + 3*r**2 + 9*r. Let x(j) = 0. What is j?
2/7
Let h(z) = 11*z**3 + 24*z**2 + 66*z + 40. Let m(r) = -10*r**3 - 25*r**2 - 65*r - 40. Let o(j) = 5*h(j) + 6*m(j). Find x such that o(x) = 0.
-2
Factor 2/11*u**5 - 2/11*u + 0*u**3 + 0 - 4/11*u**4 + 4/11*u**2.
2*u*(u - 1)**3*(u + 1)/11
Let q = 35 + -30. Let b(c) be the third derivative of 2/27*c**3 + 2*c**2 - 1/270*c**q - 1/108*c**4 + 0 + 0*c. Determine f, given that b(f) = 0.
-2, 1
Let -7/9*z - 1/3*z**2 + 2/3 = 0. What is z?
-3, 2/3
Let s(c) be the third derivative of -c**9/37800 + c**7/3150 - c**5/300 + c**4/6 + c**2. Let r(j