 5*k - 28 - 2. Solve 1/3 + 1/3*l**4 + 0*l**3 + 0*l - 2/3*l**p = 0 for l.
-1, 1
Factor 2/7*g**2 + 0 + 0*g.
2*g**2/7
Let g(b) be the third derivative of b**5/30 - b**3/3 - 5*b**2. Factor g(l).
2*(l - 1)*(l + 1)
Let a(v) = v**2 - v - 2. Let h be a(3). Let f(n) be the first derivative of -5/12*n**3 + 0*n + 3 - 7/16*n**h + 1/4*n**2. What is x in f(x) = 0?
-1, 0, 2/7
Suppose -3*f + 0*g + g = -73, -3*f + 4*g + 76 = 0. Let j = -71/3 + f. Factor j*a**3 - 2/3*a**2 + 1/3*a + 0.
a*(a - 1)**2/3
Let g(c) be the third derivative of 1/60*c**5 + 0 + 0*c**4 + 1/210*c**7 + 8*c**2 + 0*c - 1/60*c**6 + 0*c**3. Factor g(j).
j**2*(j - 1)**2
Let g(y) be the third derivative of y**7/385 + y**6/220 - y**5/110 - y**4/44 + 18*y**2. Find t, given that g(t) = 0.
-1, 0, 1
Let n be 2/(-3) - (-14)/(-6). Let s be 21/21 - n/(-4). Determine j, given that -s*j**3 + 1/4 + 3/4*j**2 - 3/4*j = 0.
1
Let p = 23/30 - 1/10. Factor p*g**2 + 0 + 2/3*g.
2*g*(g + 1)/3
Suppose 6*z - 3*z - 12 = 0. Factor v**4 - v**2 - 2*v**3 + 0*v**4 - 2*v**z.
-v**2*(v + 1)**2
What is a in 64/3 + 4/3*a**2 - 32/3*a = 0?
4
Find w, given that -3*w**3 - 48 + 30 + 7*w + 14*w = 0.
-3, 1, 2
Determine u so that -2*u**2 + u**3 - u + 1/2*u**4 + 3/2 = 0.
-3, -1, 1
Let j = -622 + 1867/3. Factor j + c**2 - 1/3*c**3 - c.
-(c - 1)**3/3
Let 1/3*c**2 + 0 - 2/3*c = 0. What is c?
0, 2
Let b(h) = -10*h**3 - 14*h**2 + 4*h + 8. Let i(q) = 9*q**3 + 13*q**2 - 4*q - 8. Let m(g) = -5*b(g) - 6*i(g). Factor m(l).
-4*(l - 1)*(l + 1)*(l + 2)
Let p be -3 + (-2)/(-18) + 3. Let h(z) be the second derivative of 1/15*z**5 + 0*z**3 + 0 - 1/90*z**6 + 0*z**2 - z - p*z**4. Factor h(v).
-v**2*(v - 2)**2/3
Factor -24*s**3 + 43*s**3 + 18 - 22*s**3 + 21*s.
-3*(s - 3)*(s + 1)*(s + 2)
Determine y so that -28/3*y**3 - 8/3*y**2 + 0*y - 5/3*y**5 - 22/3*y**4 + 0 = 0.
-2, -2/5, 0
Let q(b) = -9*b**4 + 11*b**3 - 4*b + 9. Let y(z) = 5*z**4 - 6*z**3 + 2*z - 5. Let u(a) = -4*q(a) - 7*y(a). Factor u(h).
(h - 1)**3*(h + 1)
Let n = 8 - 1. Let d = n + -2. Factor -4*m**2 + 2*m**5 - 3*m**2 + d*m**2 - 2*m**3 + 2*m**4.
2*m**2*(m - 1)*(m + 1)**2
Let j(k) be the first derivative of 0*k**2 + 0*k + 2 + k**4 - 6/5*k**5 + 4/9*k**6 - 2/9*k**3. What is i in j(i) = 0?
0, 1/4, 1
Let d(l) = l + 16. Let h be d(-14). Let x be h/(-6) - (1 - 2). Suppose -2/3*p**3 + 4/3*p**2 - 4/3 + x*p = 0. Calculate p.
-1, 1, 2
Let d(b) be the third derivative of b**5/180 - b**4/18 + b**3/6 - 3*b**2. Factor d(a).
(a - 3)*(a - 1)/3
Let d(q) be the third derivative of 0*q + 0*q**4 - q**2 + 0 + 1/180*q**5 + 0*q**3 + 1/720*q**6. Determine g, given that d(g) = 0.
-2, 0
Let c = -38 + 14. Let p be (c/(-16))/(42/8). Determine q so that -2/7*q**2 + 0 - p*q = 0.
-1, 0
Let o(c) = c**3 - 7*c**2 + 7*c + 3. Let k be o(6). Factor 32*g - 32*g - 6*g**2 + k*g**3 - 3*g**5 + 0*g**5.
-3*g**2*(g - 1)**2*(g + 2)
Let q be -15 + 12 + 1 + 4. Let i(u) be the first derivative of 2 - 1/16*u**4 + 1/8*u**q + 1/6*u**3 - 1/2*u. Suppose i(w) = 0. What is w?
-1, 1, 2
Let r(t) = -12*t - 57. Let q be r(-5). Solve 4/9*b - 14/9*b**2 + 10/9*b**q + 0 = 0 for b.
0, 2/5, 1
Let y(s) = -2*s**2 + 2*s. Suppose 6*n = 6 + 78. Let j(q) = 6*q**2 - 4*q + 3*q - 5*q. Let z(f) = n*y(f) + 5*j(f). Solve z(m) = 0 for m.
0, 1
Let f(z) = -30*z**3 - 31*z**2. Let l(y) = 6*y**3 + 6*y**2. Let b be (-55)/(-25) - (-1)/(-5). Let h(n) = b*f(n) + 11*l(n). Solve h(x) = 0.
-2/3, 0
Let t(k) be the first derivative of -2 + 0 - k**3 - 3*k - 1 + k**2 + 2*k**2. Factor t(n).
-3*(n - 1)**2
Let k be (-90)/12*(-2)/20. Suppose 0*c - 3 = -c. Determine r, given that 3/2*r**c - 3/2*r + 6*r**4 - 27/4*r**2 + k = 0.
-1, -1/2, 1/4, 1
Suppose -3*g + 4 = -11. Suppose 0*z - g = -b + 5*z, 3*z + 15 = 3*b. Factor -1/4*a**2 + 1/4*a**4 + 1/4*a**b - 1/4*a**3 + 0 + 0*a.
a**2*(a - 1)*(a + 1)**2/4
Let b(l) be the third derivative of -l**6/40 - 3*l**5/20 - l**4/4 - 4*l**2. Factor b(o).
-3*o*(o + 1)*(o + 2)
Suppose -m + 2 = 3*c + 3*m, -3*c + 6 = 3*m. Let n be 2 + (1 - c/2). Let 2/7*p - 2/7*p**2 + n = 0. Calculate p.
0, 1
Let y(k) be the second derivative of k**4/6 - 8*k**3/3 + 7*k**2 - 26*k. Solve y(c) = 0.
1, 7
Let s(b) = b**2 + 7*b - 4. Let g be 6/(-2) + 8 + 0. Let v(a) = -4*a**2 - 20*a + 12. Let u(n) = g*v(n) + 14*s(n). Factor u(j).
-2*(j + 1)*(3*j - 2)
Suppose 4*o - 2*y + 8 = 6*o, 5*y + 8 = 2*o. Let c(k) = 5*k**2 - k. Let b be c(1). Let -2*q**4 + 2*q - 2*q + o*q**b - 2*q**2 = 0. What is q?
-1, 0, 1
Let v(q) be the first derivative of 1/25*q**5 + 1/10*q**2 + 1/30*q**6 + 1/5*q + 1 - 2/15*q**3 - 1/10*q**4. Solve v(l) = 0.
-1, 1
Let n = 4 - 5. Let t be ((2 - 0) + -2)/n. Suppose -4*p + 3 + t*p - 1 - 2*p**2 + 4*p**3 = 0. Calculate p.
-1, 1/2, 1
Let l(a) be the first derivative of 3 + 1/10*a**2 + 1/15*a**3 + 0*a. Let l(b) = 0. Calculate b.
-1, 0
Let p(z) be the third derivative of z**6/360 + z**5/180 - z**4/72 - z**3/18 + 16*z**2. Factor p(v).
(v - 1)*(v + 1)**2/3
Let g(v) be the second derivative of 9*v**4/4 + 3*v**3 + 3*v**2/2 + 10*v. Factor g(d).
3*(3*d + 1)**2
Let m(n) = -2*n**5 + 17*n**3 + 11*n**2 + n. Let a(x) = -x**5 + 8*x**3 + 6*x**2 + x. Let v(q) = 5*a(q) - 2*m(q). Factor v(w).
-w*(w - 3)*(w + 1)**3
Factor 3*l**2 - 7/3*l**3 + 4*l - 4/3.
-(l - 2)*(l + 1)*(7*l - 2)/3
Find z such that -25*z**3 - 7*z - z + 29*z**3 + 4*z**2 = 0.
-2, 0, 1
Let g(v) be the first derivative of v**6/60 - v**5/15 + v**4/12 + v**2/2 - 2. Let b(a) be the second derivative of g(a). Factor b(k).
2*k*(k - 1)**2
Let t be 7 - (4 + (-3 - -3)). Let r(b) be the first derivative of -1/12*b**t - 1/20*b**5 + 1/8*b**4 + 0*b + 0*b**2 - 1. Find l, given that r(l) = 0.
0, 1
Let o(s) be the third derivative of s**6/60 - s**5/50 - s**4/30 - 6*s**2. Determine m so that o(m) = 0.
-2/5, 0, 1
Solve 3/4*m**2 + 3/2*m**5 + 3/2*m**3 - 1/2*m + 0 - 13/4*m**4 = 0 for m.
-1/2, 0, 2/3, 1
Solve 16*o - 16*o**3 + 14*o**2 + 4 - 5*o**2 - 16*o**4 + 3*o**2 = 0.
-1, -1/2, 1
Let m(y) be the first derivative of 0*y**3 + 7 + 1/25*y**5 - 1/20*y**4 + 0*y**2 + 0*y. What is i in m(i) = 0?
0, 1
Let s(x) = 7*x**4 - x**3 + 10*x**2 - 9*x - 7. Let h(v) = 8*v**4 - 2*v**3 + 12*v**2 - 10*v - 8. Let d(w) = 5*h(w) - 6*s(w). Suppose d(y) = 0. What is y?
-1, 1
Suppose 0 = -2*o - 5*c + 45, -3*o + 15 = -0*o - 3*c. Suppose 48 - 17*i - o*i + 3*i + 3*i**2 = 0. What is i?
4
Let k(l) = l**2 - 4*l - 1. Let z be k(4). Let w be (-5)/(-2) + z/2. Determine h, given that -4*h**2 - 2*h**2 + w + 4*h**2 = 0.
-1, 1
Let o = 5 - 0. Suppose -3*m + 8*m + o*s - 25 = 0, -17 = -m - 5*s. Factor 6*c**2 + 0*c**4 + 0*c**2 - 4*c**m - 2*c**4.
-2*c**2*(c - 1)*(c + 1)
Let m be (-2)/1 + 3750 + -2. Let i = 26344/7 - m. What is o in 72/7*o - i*o**3 + 16/7 + 50/7*o**5 - 60/7*o**4 + 44/7*o**2 = 0?
-1, -2/5, 1, 2
Let f(t) be the first derivative of 0*t - 3/2*t**4 - 2*t**2 + 3 + 10/3*t**3. Solve f(q) = 0.
0, 2/3, 1
Let y(l) be the third derivative of 1/60*l**5 + 1/300*l**6 + l**2 + 0*l + 1/60*l**4 + 0 + 0*l**3. Factor y(k).
k*(k + 2)*(2*k + 1)/5
Let v be 0*(10/4)/(-5). Let w(f) be the second derivative of 0*f**4 + 1/24*f**3 - 1/80*f**5 + v*f**2 - f + 0. Let w(x) = 0. What is x?
-1, 0, 1
Let s be 10/36*18/120. Let y(c) be the third derivative of 3/112*c**8 - s*c**6 + 0*c**4 - 2/3*c**3 + 1/4*c**5 + 0*c - c**2 + 0 - 1/14*c**7. Factor y(b).
(b - 1)**3*(3*b + 2)**2
Factor 3/2*s**2 - 1/2*s**4 + 0*s**3 + s + 0.
-s*(s - 2)*(s + 1)**2/2
Suppose 0 = -4*q + 40. Let b be (-3)/(-4) - 5/q. Factor 0 - 1/2*p**3 + b*p**4 + 1/2*p - 1/4*p**2.
p*(p - 2)*(p - 1)*(p + 1)/4
Let x(d) be the first derivative of -2*d**3/21 - 3. Factor x(y).
-2*y**2/7
Suppose -3*h + 3*g + 9 = 0, -2*h - 3*g + 2 = 1. Factor 1/2*j + 7/4*j**3 - 9/4*j**h + 0.
j*(j - 1)*(7*j - 2)/4
Let i(c) be the third derivative of c**7/420 - c**6/144 - 11*c**5/360 - c**4/48 - 3*c**2 - 15. What is a in i(a) = 0?
-1, -1/3, 0, 3
Let m(y) = y**2 + 2*y + 5. Let p(f) = -2*f**2 - 2*f - 6. Let q(d) = -3*m(d) - 2*p(d). Determine g so that q(g) = 0.
-1, 3
Factor -9/4*l**2 + 3/4*l**4 + 3/2 - 3/4*l + 3/4*l**3.
3*(l - 1)**2*(l + 1)*(l + 2)/4
Let j be 27/12 - 2/8. Let x be 4*j/(-4) - -14. Factor 6 - 3 + 9 - x*w - 45*w**2.
-3*(3*w + 2)*(5*w - 2)
Suppose 0 = r - 2*r. Let y(i) be the second derivative of i + 0*i**3 - 1/10*i**5 + 0*i**4 + r*i**2 + 0 + 1/15*i**6. Find j such that y(j) = 0.
0, 1
Let n(w) be the first derivative of 8*w**6/9 + 8*w**5/5 + 3*w**4/4 + w**3/9 + 10. What is g in n(g) = 0?