r 0 + 2/7*i**b - 4/7*i**2 + 2/7*i.
2*i*(i - 1)**2/7
Let t(b) be the second derivative of -b**6/1800 + b**4/120 + b**3/3 - b. Let i(u) be the second derivative of t(u). Solve i(n) = 0 for n.
-1, 1
Let v(u) be the first derivative of u**2 - 18*u - 14. Let t be v(10). Determine b so that -2*b**3 - 8/5*b**4 + 6/5*b**t + 2*b + 2/5 = 0.
-1, -1/4, 1
Let p be (-8)/3*12/(-16). Factor 9*c**2 + 58*c**5 - 9*c**3 - 36*c**4 + 2*c**5 - 3*c**p.
3*c**2*(2*c - 1)**2*(5*c + 2)
Factor 5*i - 9*i**2 + 18*i**2 - 4*i**2.
5*i*(i + 1)
Suppose -9 - 7 = -2*c - 4*p, 3*c + 4*p - 18 = 0. Suppose -c*x = -6*x + 12. Factor -1/4*q**2 + 0 - 3/4*q**x - 3/4*q**4 + 0*q - 1/4*q**5.
-q**2*(q + 1)**3/4
Factor -21*o**3 - 120*o**2 + 25*o**3 + 943*o + 257*o - 4000.
4*(o - 10)**3
Let f be (-21)/(-6) - (-1)/(-2). Suppose 4 = 5*g - 1, -f*g + 7 = 2*j. Factor 0*v**j + 0 + 0*v + 1/2*v**5 - v**4 + 1/2*v**3.
v**3*(v - 1)**2/2
Let f = -23 + 25. Solve 6*i - 4*i - 4*i**2 - 3*i**f + 5*i**2 = 0 for i.
0, 1
Let g(m) be the third derivative of -m**5/30 + m**4/6 - m**3/3 - 21*m**2. Suppose g(c) = 0. Calculate c.
1
Let a = 97 - 94. Determine i so that -1/4*i**a - 1/4*i**2 + 1/4 + 1/4*i = 0.
-1, 1
Let p(f) be the third derivative of 0*f**3 + 2*f**2 - 1/90*f**5 - 1/36*f**4 + 0*f + 0. Determine x, given that p(x) = 0.
-1, 0
Let k(a) be the third derivative of 0*a - 1/36*a**4 + 0 + 1/18*a**3 + 1/180*a**6 - 1/630*a**7 + 0*a**5 - 3*a**2. Factor k(b).
-(b - 1)**3*(b + 1)/3
Let r(z) = z**3 + 2*z**2 + 4*z + 3. Let v be r(-1). Solve 2/11*p**2 + v + 2/11*p = 0 for p.
-1, 0
Factor -1/5*s**2 - 1/5 - 2/5*s.
-(s + 1)**2/5
Let b(c) be the first derivative of -c**6/240 + c**5/120 + c**4/48 - c**3/12 - c**2/2 + 1. Let y(i) be the second derivative of b(i). Factor y(r).
-(r - 1)**2*(r + 1)/2
Let j(x) = -4*x**3 - 4*x**2 + 12*x - 8. Let v(h) = -h**2. Let u(o) = j(o) - 4*v(o). Factor u(l).
-4*(l - 1)**2*(l + 2)
Let h(d) be the second derivative of d**5/8 + 35*d**4/24 + 55*d**3/12 + 25*d**2/4 + 18*d. Find v such that h(v) = 0.
-5, -1
Let g be (-4)/12*(-2)/50. Let h(b) be the second derivative of 0 + 0*b**3 - 1/30*b**4 + 0*b**5 + g*b**6 + 0*b**2 + b. Factor h(y).
2*y**2*(y - 1)*(y + 1)/5
Let n = 68/5 - 13. Suppose 4*m = -2*v + 8, 5*m - 6*v + 16 = -2*v. Determine j, given that -3/5*j + m + n*j**3 + 3/5*j**2 - 3/5*j**4 = 0.
-1, 0, 1
Suppose 0*x - x + 3 = 0. Let z = -1 + x. Let 8/9 + 98/9*s**z - 56/9*s = 0. What is s?
2/7
Let j = -234/5 + 47. Let z(g) be the second derivative of -2/25*g**5 - 1/75*g**6 + 2*g - j*g**2 + 0 - 1/5*g**4 - 4/15*g**3. Factor z(w).
-2*(w + 1)**4/5
Factor 0 + 0*u + 1/3*u**2 + 1/3*u**4 + 2/3*u**3.
u**2*(u + 1)**2/3
Suppose 4*f - 31 = -2*a - 1, 0 = 2*a - 2*f. Factor d**5 - 4*d**4 - d**5 - 2*d**a + 2*d + 4*d**2.
-2*d*(d - 1)*(d + 1)**3
Suppose -60 - 40 - 8*y + 116 + y**2 = 0. Calculate y.
4
Let i(q) be the second derivative of -1/20*q**5 + 0*q**3 + 3*q - 1/12*q**4 + 1/30*q**6 + 0 + 0*q**2 + 1/42*q**7. Factor i(m).
m**2*(m - 1)*(m + 1)**2
Solve 0*h + 6/5*h**3 + 0*h**2 + 2/5*h**5 + 8/5*h**4 + 0 = 0 for h.
-3, -1, 0
Let r(i) = -5*i**3 + 9*i**2. Let f(w) = 4*w**3 - 8*w**2. Let c(s) = -7*f(s) - 6*r(s). Factor c(p).
2*p**2*(p + 1)
Suppose 3*u = -2*u + 2*p + 3, 3*u - 8 = -5*p. Let j be (1 - u) + 6/9. Let 4/3*k**2 - 2/3*k**3 - j*k + 0 = 0. What is k?
0, 1
Suppose 1 = 3*b - 4*n + 3*n, 3*n = -3*b + 21. Let h(d) be the second derivative of -d + 1/90*d**5 + 0 + 0*d**b + 0*d**3 + 0*d**4. Factor h(p).
2*p**3/9
Let p(v) = 4*v**2 - 7*v + 3. Let g(q) be the first derivative of -q**3 + 5*q**2/2 - 2*q + 3. Let j(a) = -7*g(a) - 5*p(a). Solve j(s) = 0 for s.
-1, 1
Let d = 42 + -38. Let t(j) be the second derivative of 0 + 2/27*j**3 - 1/54*j**d - 1/9*j**2 - 3*j. Find k such that t(k) = 0.
1
Let u = 4/121 + 472/363. Factor -2*z**3 - 16/3*z**2 - 2*z + u.
-2*(z + 1)*(z + 2)*(3*z - 1)/3
Let g(c) be the second derivative of 0*c**2 - 1/63*c**7 + 0*c**4 + c + 0 + 1/15*c**6 + 0*c**3 - 1/15*c**5. Factor g(m).
-2*m**3*(m - 2)*(m - 1)/3
Suppose -14*y = -10*y - 16. Factor 2/9*u - 2/9*u**5 + 4/9*u**y + 0*u**3 - 4/9*u**2 + 0.
-2*u*(u - 1)**3*(u + 1)/9
Let p(z) = -z**2 - 5*z - 4. Let s be p(-4). Factor -3*c**3 + 7 - 7 + s*c**4 - 2*c**2 + 5*c**4.
c**2*(c - 1)*(5*c + 2)
Let r = 8 - 22/3. Let b(p) = -2*p**2 - 9*p + 5. Let f be b(-5). Factor -2/3*x**4 + 0 + f*x + r*x**2 + 0*x**3.
-2*x**2*(x - 1)*(x + 1)/3
Let w(a) be the third derivative of 49*a**6/360 + 77*a**5/180 + 4*a**4/9 + 2*a**3/9 - 6*a**2. Determine m so that w(m) = 0.
-1, -2/7
Let l = -852/5 - -171. Let a be 6/(-16) + (-3064)/(-320) + -8. Factor 3/5*c**5 + 0*c**3 + 0 - l*c + 6/5*c**2 - a*c**4.
3*c*(c - 1)**3*(c + 1)/5
Let a(b) be the third derivative of 0*b**3 - 1/96*b**4 + 7*b**2 + 0*b + 1/120*b**5 + 0. Factor a(u).
u*(2*u - 1)/4
Let a(x) be the second derivative of x**7/63 + 2*x**6/45 - x**4/9 - x**3/9 - 6*x. Factor a(f).
2*f*(f - 1)*(f + 1)**3/3
Let m(o) be the third derivative of -o**6/360 + o**5/120 + o**4/12 + 2*o**3/3 - 3*o**2. Let j(w) be the first derivative of m(w). Solve j(q) = 0.
-1, 2
Let z(q) = -7 + 1 + 0*q + 3*q**2 - 2*q + 2. Let u(i) = -3*i**2 + 3*i + 3. Let m(j) = -4*u(j) - 3*z(j). Determine a so that m(a) = 0.
0, 2
Let d = -7 + 9. Factor h**3 + h**2 + h**3 - 5*h**3 + d*h**2.
-3*h**2*(h - 1)
Let f(w) be the second derivative of -5*w**7/49 - 3*w**6/10 + 3*w**5/14 + 25*w**4/28 - 6*w**2/7 + 12*w. Determine i, given that f(i) = 0.
-2, -1, -1/2, 2/5, 1
Let t(h) = 2*h**2 - 17*h + 18. Let l(f) = 2*f**2 - 18*f + 18. Let w(p) = -5*l(p) + 6*t(p). Factor w(a).
2*(a - 3)**2
Suppose -w - 11 = -3*j, 5*w + 0*j - 15 = j. Let -f**w + f**4 - 5*f**5 + 4*f**5 = 0. Calculate f.
0
Factor 0*l + 0 + 10/9*l**3 + 2/9*l**2 + 8/9*l**4.
2*l**2*(l + 1)*(4*l + 1)/9
Let x(s) be the first derivative of 8/5*s - 8/5*s**2 - 1 + 2/3*s**3 - 1/10*s**4. Factor x(f).
-2*(f - 2)**2*(f - 1)/5
Let n be 10 + -6 - 90/25. Let 6/5*b + 6/5*b**5 - 2/5*b**4 + 4/5*b**2 - n - 12/5*b**3 = 0. What is b?
-1, 1/3, 1
Let t(b) = -48*b + 483. Let u be t(10). Factor 1/4*d**u + 0*d + 1/4*d**2 + 0.
d**2*(d + 1)/4
Let m(k) be the third derivative of 0*k + 1/1848*k**8 - 6*k**2 - 1/1155*k**7 - 1/660*k**6 + 0*k**3 + 1/330*k**5 + 0 + 0*k**4. Let m(z) = 0. Calculate z.
-1, 0, 1
Let r = -235 + 1179/5. Let o = 17/15 - r. Factor -o - 1/3*h**2 - 2/3*h.
-(h + 1)**2/3
Let c be (-2 + 4/3)*-3. Suppose -u**2 + u**4 - 2 + c = 0. What is u?
-1, 0, 1
Let o be (-9)/(-12) + (-39)/100. Let i(h) be the first derivative of 3/2*h**4 - o*h**5 - 4/5*h - 1 + 2*h**2 - 37/15*h**3. Solve i(v) = 0 for v.
2/3, 1
Let i be 2/(-14) - 4/(-28). Suppose 5*b + q = -5, 25 = 2*b + b - 5*q. Solve -5*r**4 - 2 - 3*r + 7*r**2 + i + 3*r**3 + b*r**4 = 0 for r.
-1, -2/5, 1
Let l(q) be the second derivative of 0 + 2/15*q**6 - q**2 - 1/5*q**5 - 1/6*q**4 - 4*q - 1/42*q**7 + 5/6*q**3. Suppose l(p) = 0. What is p?
-1, 1, 2
Let p(f) be the second derivative of f**6/420 - f**5/70 + f**4/28 - f**3/21 - f**2/2 - 3*f. Let n(h) be the first derivative of p(h). Factor n(y).
2*(y - 1)**3/7
Let v(b) be the first derivative of -b**4/16 + b**2/8 - 3. Solve v(y) = 0.
-1, 0, 1
Factor -927 - n**2 + 927.
-n**2
Let r(u) be the first derivative of u**6/120 - u**5/60 - u**2/2 + 1. Let l(p) be the second derivative of r(p). Solve l(w) = 0.
0, 1
Let k(o) = o**3 - o**2 + o + 1. Let f(b) = -39*b**4 + 0 + 2 + 38*b**4 + 2*b + 3*b**3. Let i(u) = -f(u) + 2*k(u). What is h in i(h) = 0?
-1, 0, 2
Let t(u) be the second derivative of 7*u**4/16 + 37*u**3/8 + 15*u**2/4 - 4*u. Factor t(i).
3*(i + 5)*(7*i + 2)/4
Let -6/5*t**3 - 2/5*t**5 + 0*t - 6/5*t**4 + 0 - 2/5*t**2 = 0. Calculate t.
-1, 0
Let o(a) be the first derivative of -6*a - 4*a + 2*a + a**4 - 6*a**2 - 10. Suppose o(q) = 0. What is q?
-1, 2
Let y be (-4)/(-21)*(-1)/(-2)*3. Let g = -3487/7 + 499. Determine m so that -y - 4/7*m**2 + g*m = 0.
1/2, 1
Let p = -5 + 7. Let w = -180 - -371/2. Let -7/2*r**3 + 8*r**p + 1 - w*r = 0. Calculate r.
2/7, 1
Factor -2/5*n**3 + 2/5*n + 2/5*n**4 - 2/5*n**2 + 0.
2*n*(n - 1)**2*(n + 1)/5
Suppose c + y = 6*y + 15, 3*c - 12 = 4*y. Factor -9/4*u**5 - u**3 + 0 - 3*u**4 + c*u**2 + 0*u.
-u**3*(3*u + 2)**2/4
Suppose -32*z - 7*z = 6*z. Suppose 0 = 3*i - 4*i. Factor z*o - 2/9*o**2 + i.
-2*o**2/9
Factor -3 - 4*n + 22*n**2 - 1 - 7*n**2 - 16*n**2.
-(n + 2)**2
Let u(d) be the second derivative of d**4/18 - 2*d**3/3 + 6*d. Factor u(b).
2*b*(b