.
-2*(i - 1)**2*(5*i + 2)**2/9
Solve 48*o**5 - 75*o**4 + 3*o - o + 75*o**3 - 21*o**2 - 29*o**4 = 0 for o.
0, 1/4, 2/3, 1
Let z(j) = -5*j. Let v be z(3). Let w be 1/5*(-25)/v. Determine y so that 1/3*y**4 + 1/3*y**5 + 0 - w*y**2 - 1/3*y**3 + 0*y = 0.
-1, 0, 1
Suppose 0 = -5*d - n + 2, 0 = -3*d + 4*n - 8. Factor -1/4*l - 3/4*l**3 - 1/4*l**4 + d - 3/4*l**2.
-l*(l + 1)**3/4
Let 1/3*t + 0 - 1/6*t**2 = 0. Calculate t.
0, 2
Let h be 2/(-6)*6/(-5). Let d be 5*1*(-1 + 2). Determine s, given that -16/5 + h*s**d - 16/5*s**4 - 76/5*s**2 + 10*s**3 + 56/5*s = 0.
1, 2
Let r be (64/240)/(16/5 - 2). Factor 0*n**4 + r*n + 0*n**2 - 4/9*n**3 + 2/9*n**5 + 0.
2*n*(n - 1)**2*(n + 1)**2/9
Determine k, given that 3/2*k**2 + 0*k**3 + 0 + 0*k - 3/2*k**4 = 0.
-1, 0, 1
Let c = 124 + -368/3. Let k be (196/(-6))/(-8 + 6). Solve 28/3*s - c - k*s**2 = 0.
2/7
Factor -1/4 - 5/2*r - 27/4*r**4 - 9*r**2 - 27/2*r**3.
-(r + 1)*(3*r + 1)**3/4
Let h be -4 + ((-4 - -8)/1 - 0). Let o(t) be the second derivative of -2*t + 0 + h*t**2 + 1/30*t**4 + 1/15*t**3. Determine u, given that o(u) = 0.
-1, 0
Suppose 0 = -4*g - 20, -2*r - 3*g = -5*r + 30. Find l, given that l**2 - l + l**2 - 2*l**4 - 2*l**5 + 3*l**r + 0*l = 0.
-1, 0, 1
Let s(f) = -f**2 - 8*f - 2. Let n be s(-7). Solve -3*d + n*d**2 + 3*d**3 - d + 2*d = 0.
-2, 0, 1/3
Let z(t) = -t - 3. Let l be 45/(-12) + 2/(-8). Let x be z(l). Let -1 + 1 + f**4 + f**5 + x - 2*f**3 + f - 2*f**2 = 0. What is f?
-1, 1
Suppose 2*b - 6 = 2. Suppose -7*q = -3*q - b, 9 = 2*d + 5*q. Find z, given that 2*z**2 + 5 - d*z**4 - 5 = 0.
-1, 0, 1
Let b(k) be the second derivative of k**7/168 + k**6/120 - k**5/80 - k**4/48 - 4*k. What is a in b(a) = 0?
-1, 0, 1
Let p(d) = d**2 + 8*d + 8. Let c be p(-7). Let b = 3 - c. Factor 5/4*x**4 + 5/4*x + 1/4*x**5 + 5/2*x**3 + 5/2*x**b + 1/4.
(x + 1)**5/4
Let u(h) be the third derivative of 5*h**8/336 - 7*h**6/24 + h**5/2 + 43*h**2. Find b such that u(b) = 0.
-3, 0, 1, 2
Let c(z) be the second derivative of -z**4/30 + z**3/15 - 13*z. Determine y, given that c(y) = 0.
0, 1
Suppose -2*t - 15 = -5*z, z - 5*z + 5 = -3*t. Find u such that 0 - 1/5*u + 2/5*u**3 - 1/5*u**t + 0*u**2 + 0*u**4 = 0.
-1, 0, 1
Let k be (-1)/15 + 2/5. Let k*c**2 + 0 + 1/3*c = 0. Calculate c.
-1, 0
Suppose q + 3*w = 3 + 3, 4*w - 8 = -q. Let -1 + 3*u**2 - u**3 - u**2 - 1 + q*u**3 + u = 0. What is u?
-1, 1, 2
Let t(m) be the second derivative of -m**6/160 - m**5/16 - 3*m**4/32 + 9*m**3/8 - 4*m**2 + 6*m. Let i(w) be the first derivative of t(w). Factor i(l).
-3*(l - 1)*(l + 3)**2/4
Suppose 3*n = -0*n - n. Solve -2/5*u**3 + n - 2/5*u - 4/5*u**2 = 0.
-1, 0
Let z be (-40)/(-12) - 0 - 1/3. Factor 0*b**z + 0 - 2/3*b**4 + 2/3*b**2 + 1/3*b**5 - 1/3*b.
b*(b - 1)**3*(b + 1)/3
Let g be (-3)/6 + 73/2. Let f be (-3)/4*(-12)/g. Suppose 1/2*d**3 + 1/4*d**2 + 0*d + 0 + f*d**4 = 0. Calculate d.
-1, 0
Suppose -2*w + 7*w - 8 = h, 0 = 2*w + h - 6. Factor -q**w + 2*q**2 + 2*q**2 - 2*q**2 - q**4.
-q**2*(q - 1)*(q + 1)
Let o(q) be the third derivative of q**7/168 - q**6/96 - q**5/48 + 5*q**4/96 - 11*q**2. Suppose o(b) = 0. Calculate b.
-1, 0, 1
Let f(l) be the third derivative of 0*l - 1/60*l**5 - 1/3*l**3 + 0 - 3*l**2 + 1/24*l**4. Let c(x) = -3*x**2 + 2*x - 5. Let b(p) = 2*c(p) - 5*f(p). Factor b(w).
-w*(w + 1)
Let t = -862 - -862. Factor t + 2/19*l**5 + 0*l + 2/19*l**4 - 2/19*l**2 - 2/19*l**3.
2*l**2*(l - 1)*(l + 1)**2/19
Let v(n) = n**2 + n - 2. Let l be v(1). Let q(y) be the second derivative of -1/30*y**5 - 1/6*y**4 + 0*y**3 + 4/3*y**2 - 3*y + l. Factor q(s).
-2*(s - 1)*(s + 2)**2/3
Let v(g) be the second derivative of g**4/9 + 28*g**3/9 + 98*g**2/3 + 19*g. Factor v(f).
4*(f + 7)**2/3
Let h(j) be the second derivative of -1/10*j**2 - 5*j + 0 + 1/15*j**3 - 1/60*j**4. Solve h(w) = 0.
1
Let g(i) be the third derivative of i**6/600 + i**5/300 - i**4/120 - i**3/30 + 2*i**2. Factor g(x).
(x - 1)*(x + 1)**2/5
Suppose 0 = -4*h - 2*h. Let q(p) be the second derivative of 3*p + 1/2*p**4 + 0 + 1/15*p**6 + h*p**2 - 1/3*p**3 - 3/10*p**5. Factor q(x).
2*x*(x - 1)**3
Let j(a) be the second derivative of -1/20*a**4 - 1/100*a**5 + 2/5*a**2 + 0*a**3 + 4*a + 0. Factor j(t).
-(t - 1)*(t + 2)**2/5
Suppose 4*s - 10 = -s. Let i(x) = -x**3 - 8*x**2 - 8*x - 5. Let d be i(-7). Factor -t + 5*t**s - t - 3*t**d.
2*t*(t - 1)
Let d(l) be the second derivative of l**7/1260 + l**6/180 + l**4/6 + l. Let p(w) be the third derivative of d(w). Factor p(g).
2*g*(g + 2)
Let p(o) be the second derivative of o**4/3 - 32*o**3/3 + 128*o**2 - 7*o. What is f in p(f) = 0?
8
Let w = -10 - -14. Let t(y) = 12*y**3 - 9*y**2 - 3*y - 15. Let m(l) = -3*l**3 + 2*l**2 + l + 4. Let o(j) = w*t(j) + 15*m(j). What is u in o(u) = 0?
0, 1
Let y(j) be the third derivative of 2*j**6/75 + j**5/75 + 6*j**2. What is o in y(o) = 0?
-1/4, 0
Let t = -5 - 0. Let a = -2 - t. What is m in 3*m**2 + 21 - 21 - a*m = 0?
0, 1
Let f(q) be the second derivative of -q**6/360 + q**5/60 - q**4/24 + q**3/6 + q. Let u(m) be the second derivative of f(m). Factor u(w).
-(w - 1)**2
Find h, given that 64/5 + 1900/3*h**4 - 1952/15*h + 1504/3*h**2 - 880*h**3 - 250/3*h**5 = 0.
2/5, 6
Let p(b) = -5*b - b**3 - 3*b**3 + b**3 + 2*b**3 + 3. Let z(c) = 2*c**3 + c**2 + 9*c - 5. Let o(t) = 5*p(t) + 3*z(t). Let o(u) = 0. Calculate u.
-2, -1, 0
Let m = 3 + 0. Factor 12*r**4 - 15*r**3 + 19 - 19 + m*r**2.
3*r**2*(r - 1)*(4*r - 1)
Factor -2*z**2 - 7*z**2 - 5*z**2 - 980 + 140*z + 9*z**2.
-5*(z - 14)**2
Let s be (-10)/(-6)*8/120. Let y(x) be the first derivative of 0*x + 0*x**2 - s*x**3 - 1 + 0*x**4 + 1/15*x**5. Factor y(i).
i**2*(i - 1)*(i + 1)/3
Let i(f) be the third derivative of -f**8/14400 - f**7/2800 - f**6/1800 + f**5/60 - f**2. Let d(b) be the third derivative of i(b). Solve d(y) = 0 for y.
-1, -2/7
Let n(v) be the second derivative of -2*v**6/15 + 2*v**5/5 - v**4/3 + v. Factor n(m).
-4*m**2*(m - 1)**2
Let z(i) be the first derivative of -i**6/2 - 6*i**5/5 + 3*i**4/4 + 2*i**3 - 5. Solve z(b) = 0 for b.
-2, -1, 0, 1
Factor 10/3*u**3 + 0*u - 8/3 - 10*u**4 + 10*u**2 - 6*u**5.
-2*(u + 1)**3*(3*u - 2)**2/3
Factor 0 - 1/2*s**3 + 5/6*s**2 + 1/6*s**5 - 1/3*s - 1/6*s**4.
s*(s - 1)**3*(s + 2)/6
Let z(d) = 6*d**3 - 3*d**2 + 3*d + 3. Let u(o) = o**3 + o**2 + o + 1. Let m(t) = 3*u(t) - z(t). What is f in m(f) = 0?
0, 2
Suppose 2*j - 3*p - 4 = 12, -j + p = -7. Solve 2 - j*l + 0*l**2 - l**2 + 4*l = 0.
-2, 1
Factor 0*z**2 + 0 + 0*z - 1/4*z**5 + 0*z**3 + 1/4*z**4.
-z**4*(z - 1)/4
Suppose -3*h = 2*h + 3*j - 7, -3*h = j - 5. Let g(f) be the second derivative of -1/2*f**h + 0 + f + 1/3*f**3 - 1/12*f**4. Factor g(q).
-(q - 1)**2
Let h(t) be the second derivative of -t**9/3024 + t**7/840 + t**3/2 + 3*t. Let r(j) be the second derivative of h(j). Determine u so that r(u) = 0.
-1, 0, 1
Factor -2/17*j**5 + 8/17*j**2 - 16/17*j**3 + 10/17*j**4 + 0*j + 0.
-2*j**2*(j - 2)**2*(j - 1)/17
Let v(x) be the second derivative of 3*x**5/40 + x**4/8 - 9*x. Determine p so that v(p) = 0.
-1, 0
Let d(j) be the first derivative of j**5/40 + j**4/32 - j**3/8 - 5*j**2/16 - j/4 + 5. Factor d(g).
(g - 2)*(g + 1)**3/8
Let z be ((-8)/(-60))/(1/6). Factor -2/5*w**5 + 2/5*w**4 - z*w**2 + 2/5 - 2/5*w + 4/5*w**3.
-2*(w - 1)**3*(w + 1)**2/5
Let p(v) be the second derivative of 0 + 1/60*v**6 + 0*v**4 + 0*v**3 - v**2 + 2*v + 1/30*v**5. Let y(g) be the first derivative of p(g). Factor y(m).
2*m**2*(m + 1)
Suppose -5*i - 4 - 7 = 3*b, b + i = -1. Let m = b + -1. Let 2*l**2 - l**4 + l**3 - m*l**2 + l**2 - l**5 = 0. Calculate l.
-1, 0, 1
Let a(i) be the third derivative of -10*i**7/21 + 8*i**6/3 - 8*i**5/5 - 32*i**4/3 - 32*i**3/3 - 4*i**2. Factor a(p).
-4*(p - 2)**2*(5*p + 2)**2
Let b(g) = g**5 - 7*g**4 + 4*g + 4. Let p(t) = -3*t**5 + 20*t**4 + t**3 - 11*t - 11. Let c(s) = 11*b(s) + 4*p(s). Factor c(y).
-y**3*(y - 4)*(y + 1)
Suppose -7*c = -11*c. Let v(i) be the second derivative of i + 1/5*i**5 + i**3 + 3/4*i**4 + c + 1/2*i**2. Factor v(g).
(g + 1)**2*(4*g + 1)
Let d be 1 + -5 - (-1)/1. Let w = d + 3. Factor 2/7*u**5 - 2/7*u**3 + w*u + 2/7*u**2 + 0 - 2/7*u**4.
2*u**2*(u - 1)**2*(u + 1)/7
Suppose 5*t + 3*o = 3, 0 = 5*t + 5*o + 2 + 3. Determine d, given that 0*d - 2 + 2*d**t - d + 2*d**2 - d + 0*d**2 = 0.
-1, 1
Let l be (8 + -9)*-1*59. Let -57 + l - 4*s**3 - 4*s**4 + 2*s**4 + 4*s = 0. What is s?
-1, 1
Suppose w + 0 = 4. Suppose -d 