- u**5/390 + u**4/156 + u**3/39 - 10*u**2. Solve x(m) = 0 for m.
-1, 1
Let j(w) = -w**2 - 7*w - 4. Suppose 0 = 3*k + 10 + 8. Let s be j(k). Solve -5*a**2 - s*a + 0*a**3 + a**2 - 2*a**3 = 0.
-1, 0
Let q = -20675 + 1860769/90. Let v(o) be the second derivative of 1/27*o**3 - 5/18*o**4 - o + q*o**5 + 0 + 2/9*o**2 - 7/135*o**6. Suppose v(s) = 0. What is s?
-2/7, 1
Let d(y) = -y**3 + 12*y**2 + 15*y - 14. Let n be d(13). Factor -3*j**2 + 0 + 4*j**4 - 12*j + 7*j**2 + n*j**3 - 8.
4*(j - 1)*(j + 1)**2*(j + 2)
Let f(r) be the first derivative of r**6/2 + 9*r**5/5 + 3*r**4/2 + 8. Determine q so that f(q) = 0.
-2, -1, 0
Let n(b) be the first derivative of 2/3*b**4 + 2/3*b**2 + 0*b - 2/15*b**5 - 2 - 10/9*b**3. Solve n(l) = 0 for l.
0, 1, 2
Suppose -3*p**3 - 89*p**4 + 4*p**5 + 86*p**4 - p**5 + 3*p**2 = 0. Calculate p.
-1, 0, 1
Let i(d) = -d + 1. Let u(o) = -o**3 + 5*o**2 - o + 2. Let n(j) = 4*i(j) + u(j). Let f be n(4). Factor -a - 2*a**f + 2*a**2 - 2 + a**2.
(a - 2)*(a + 1)
Let k = -7 + 9. Let c be (-4 + 1 + 4)*k. Factor -2/3 - 4/3*i**3 - 1/3*i**5 - 2/3*i**c + 5/3*i + 4/3*i**4.
-(i - 2)*(i - 1)**3*(i + 1)/3
Let l be -2 + 3 - (-3)/3. Let y(i) = -i**3 - 3*i**2 + 2. Let u be y(-3). Let -3*n**4 - 3*n**3 + 7*n**u + 0*n**4 - n**l = 0. Calculate n.
-2, 0, 1
Let w(k) be the third derivative of k**7/16380 - k**6/1560 + k**5/390 - 5*k**4/24 - 3*k**2. Let g(f) be the second derivative of w(f). Factor g(b).
2*(b - 2)*(b - 1)/13
Factor 2/3*q**5 + 0*q + 0 - 10/3*q**4 - 2*q**2 + 14/3*q**3.
2*q**2*(q - 3)*(q - 1)**2/3
Let p(z) = -z**3 - 8*z**2 + 2*z + 16. Let v be p(-8). Determine k, given that 2/3*k**5 + v + 0*k**3 - 2/3*k**4 + 0*k + 0*k**2 = 0.
0, 1
Let q(t) be the second derivative of t**5/20 + 7*t**4/12 - 17*t**3/6 + 9*t**2/2 + 2*t - 3. Solve q(o) = 0.
-9, 1
Let i(r) be the first derivative of -4*r**3 + 10*r**2 + 8*r + 8. Factor i(u).
-4*(u - 2)*(3*u + 1)
Suppose u = 4*a - 32, 4*a - u - 52 = -5*u. Let o be 2/a - 38/(-72). Factor 0*v - 3/4*v**4 - 1/4*v**2 - o*v**3 + 0 - 1/4*v**5.
-v**2*(v + 1)**3/4
Let j(g) be the second derivative of 3*g**7/280 + g**6/12 + 9*g**5/40 + g**4/4 - 2*g**3/3 + 5*g. Let b(a) be the second derivative of j(a). Factor b(u).
3*(u + 1)*(u + 2)*(3*u + 1)
Let p(f) = -f**3 - 6*f**2 + 4*f + 4. Let q be p(-5). Let x = q - -124/3. Factor 0 - x*v**3 + 1/3*v**2 + 0*v.
-v**2*(v - 1)/3
Let y(a) be the first derivative of 4 + 2*a**2 - 2*a**3 - 2/3*a. Solve y(s) = 0 for s.
1/3
What is w in 4/7*w**2 + 0 - 4/7*w = 0?
0, 1
Let l = 18 + -14. Factor 2/5*f - 4/5*f**2 + 2/5*f**5 + 2/5 - 4/5*f**3 + 2/5*f**l.
2*(f - 1)**2*(f + 1)**3/5
Let g = -9 - -11. Suppose 0 = -s + 3 + 1, -4*s = -g*o - 12. Factor -o*k - 4/5 - 8/5*k**2 - 2/5*k**3.
-2*(k + 1)**2*(k + 2)/5
Suppose -4*v + k + 2 = -1, -2*v = -k - 1. Let r(m) be the first derivative of 0*m + v + 0*m**2 - 2/3*m**3. Factor r(i).
-2*i**2
Let a = 31/30 - 8/15. Factor -a + k - 1/2*k**2.
-(k - 1)**2/2
Let u(g) = -10*g - 60. Let x be u(-6). Factor 0*v + 1/6*v**2 - 1/6*v**5 + x + 1/6*v**3 - 1/6*v**4.
-v**2*(v - 1)*(v + 1)**2/6
Let k(b) be the third derivative of -b**6/1080 - b**5/90 - b**4/18 + 4*b**3/3 - 5*b**2. Let f(a) be the first derivative of k(a). Let f(w) = 0. Calculate w.
-2
Factor 8/11*x + 8/11*x**2 + 2/11*x**3 + 0.
2*x*(x + 2)**2/11
Let w = -17/45 - -3/5. Factor -2/9*d - 8/9*d**4 + 0 - 8/9*d**2 - w*d**5 - 4/3*d**3.
-2*d*(d + 1)**4/9
Let i(g) be the second derivative of g**7/42 - g**6/10 + g**5/10 + g**4/6 - g**3/2 + g**2/2 + 4*g. Factor i(q).
(q - 1)**4*(q + 1)
Factor -2/17*o**3 - 30/17*o + 14/17*o**2 + 18/17.
-2*(o - 3)**2*(o - 1)/17
Factor -1/3*g**2 + g - 2/3.
-(g - 2)*(g - 1)/3
Let c(g) = -g - 4 - 3*g + g**3 + 2*g + 0 - 5*g**2. Let f(o) = -2*o**3 + 11*o**2 + 4*o + 9. Let a(q) = -9*c(q) - 4*f(q). Factor a(s).
-s*(s - 2)*(s + 1)
Let b = -33 + 35. Factor -6/5 + 9/5*w**4 + 21/5*w**3 + 9/5*w**b - 9/5*w.
3*(w + 1)**3*(3*w - 2)/5
Factor -3*a**2 - 11 - 4 + 15 + 2*a + a**3.
a*(a - 2)*(a - 1)
Let n(g) be the second derivative of -g**5/4 - 5*g**4/6 + 20*g**3/3 - g - 20. Solve n(i) = 0.
-4, 0, 2
Find j, given that -2/3*j**2 + 0 + 0*j - 1/3*j**3 = 0.
-2, 0
Let m(s) be the first derivative of 4 + 1/30*s**3 + 0*s**2 - 3*s - 1/100*s**5 + 0*s**4. Let d(j) be the first derivative of m(j). Let d(p) = 0. Calculate p.
-1, 0, 1
Let p be (-31)/(-9) - (2 + 7 - 6). Let g = 62/225 + -4/75. Find y such that -2/9*y**4 + 0 - g*y**3 + p*y**2 + 0*y = 0.
-2, 0, 1
Factor 2/7*s**2 - 8/7 + 32/21*s.
2*(s + 6)*(3*s - 2)/21
Factor 4/3 + 16/3*z**2 + 2/3*z**5 - 4/3*z**3 - 14/3*z - 4/3*z**4.
2*(z - 1)**4*(z + 2)/3
Suppose 3*f = z + 5, 7*z - 6 = 3*z - f. Let p(i) = 2*i**3 - 7*i + 5. Let w(g) = g - 1. Let a be (-132)/(-28) - (-2)/7. Let x(d) = a*w(d) + z*p(d). Factor x(h).
2*h*(h - 1)*(h + 1)
Suppose 2*j = j + 7. Suppose 3*w = j*w. Factor 0 - 1/4*l**4 + 0*l**3 + 1/4*l**2 + w*l.
-l**2*(l - 1)*(l + 1)/4
Let u(h) = h**3 - h**2 - h. Let f(l) = 338*l**3 + 446*l**2 + 194*l + 27. Let w(o) = f(o) + 5*u(o). Suppose w(y) = 0. Calculate y.
-3/7
Let y(z) be the third derivative of -z**6/540 - z**5/60 - z**4/18 + 4*z**3/3 - z**2. Let k(s) be the first derivative of y(s). Determine a so that k(a) = 0.
-2, -1
Let z be -3 - (1 - 2) - -2. Let c(g) be the third derivative of 1/120*g**6 - 1/12*g**3 - 1/24*g**4 + 0*g + z + 1/120*g**5 + 2*g**2. Solve c(q) = 0 for q.
-1, -1/2, 1
Let l(x) be the third derivative of x**5/12 - 5*x**4/6 + 10*x**3/3 - 15*x**2. Let l(k) = 0. Calculate k.
2
Let j be 0/((-4)/1*-1). Factor -1/3*o**2 + 1/3*o**4 + 0*o - 1/3*o**3 + 1/3*o**5 + j.
o**2*(o - 1)*(o + 1)**2/3
Let j(b) be the third derivative of 0*b**3 + 0*b + 0 + 1/270*b**5 - 1/36*b**4 + 7*b**2. Factor j(o).
2*o*(o - 3)/9
Let f be 9/360*1/2. Let g(k) be the third derivative of 0*k + 0*k**3 + 1/96*k**4 - k**2 + 1/840*k**7 + f*k**5 + 1/160*k**6 + 0. Let g(h) = 0. What is h?
-1, 0
Factor 1/3*z**4 + 0*z + 0 + 1/3*z**5 - 1/3*z**3 - 1/3*z**2.
z**2*(z - 1)*(z + 1)**2/3
Determine n so that 0 + 6/5*n**3 - 2/5*n + 4/5*n**2 = 0.
-1, 0, 1/3
Let z(g) = -4*g**3 + 12*g**2 - 3*g + 5. Let h(n) = -2*n**3 + 6*n**2 - 2*n + 2. Let m(w) = -5*h(w) + 2*z(w). Let m(d) = 0. Calculate d.
0, 1, 2
Let u be -1 + -2*7/(-10). Let l = -1160 + 1162. Factor u + 2/5*y**l + 4/5*y.
2*(y + 1)**2/5
Let w(g) be the third derivative of -g**7/315 + g**6/180 + g**5/45 + 30*g**2. Factor w(b).
-2*b**2*(b - 2)*(b + 1)/3
Let -3*v**3 + 2/3*v**2 + 0*v + 7/3*v**4 + 0 = 0. What is v?
0, 2/7, 1
Factor 38*q - 16 - 26*q**2 - 74*q**2 + 42*q + 0*q**2.
-4*(5*q - 2)**2
Let s(x) be the first derivative of -x**2 + 1/6*x**4 - 1/3*x**3 + 2*x + 1/10*x**5 + 1. Let i(v) be the first derivative of s(v). Find d, given that i(d) = 0.
-1, 1
Let i = -153 - -155. Let c(z) be the second derivative of 0*z**2 + i*z + 0 - 1/2*z**3 + 1/12*z**4. Factor c(r).
r*(r - 3)
Let i(m) be the third derivative of m**7/150 + 23*m**6/600 + m**5/50 - m**2. Factor i(l).
l**2*(l + 3)*(7*l + 2)/5
Let k = -27 + 83/3. Solve k*q**4 - 2/3*q + 2/3*q**3 - 2/3*q**2 + 0 = 0.
-1, 0, 1
Let v(h) be the first derivative of 3/2*h**4 - 1 - 15/2*h**2 + 3/2*h**6 + 3*h + 6*h**3 - 21/5*h**5. Solve v(a) = 0.
-1, 1/3, 1
Let h(c) be the second derivative of c**6/720 - c**5/120 + c**4/48 + c**3/6 - 3*c. Let f(s) be the second derivative of h(s). Let f(i) = 0. Calculate i.
1
Let b(o) be the second derivative of -o**7/280 + o**6/30 - o**5/8 + o**4/4 - 5*o**3/6 + 5*o. Let a(m) be the second derivative of b(m). Factor a(l).
-3*(l - 2)*(l - 1)**2
Let u(w) = w**3 + w**2 - 7*w + 5. Let g be u(2). Let s(v) be the second derivative of 0 + 0*v**2 - 3*v - 1/50*v**5 - 1/30*v**4 + 0*v**g. Factor s(k).
-2*k**2*(k + 1)/5
Factor 3*u - 2 + 8 + 3*u**2 - 3 - 3*u**3 - 6*u**2.
-3*(u - 1)*(u + 1)**2
Suppose 0 = 11*q - 36 + 3. Factor 14/5*s**4 + 6/5*s**2 - 24/5*s**q + 0 + 4/5*s.
2*s*(s - 1)**2*(7*s + 2)/5
Let o(w) be the third derivative of -5*w**7/2268 - w**6/162 - w**5/135 - w**4/12 - w**2. Let t(f) be the second derivative of o(f). Find j, given that t(j) = 0.
-2/5
Let p(a) be the second derivative of -a**4/42 + 2*a**3/21 + 3*a**2/7 - 26*a - 2. Let p(j) = 0. Calculate j.
-1, 3
What is i in 0 + 0*i + 3/8*i**2 = 0?
0
Let w be (-126)/(-28)*(-4)/(-6). Factor 1/3*h**w + 1/3 - 1/3*h**2 - 1/3*h.
(h - 1)**2*(h + 1)/3
Let 3*o**3 + o**2 + 3*o**2 - 6*o**2 - 7*o**2 + 12 = 0. Calculate o.
-1, 2
Let a(m) = -6*m**4 - m**3 - 2*m**2 + m -