 1/4*d**w.
-d*(d + 1)**2/4
Let a(x) be the first derivative of x**3/8 + 18. Factor a(b).
3*b**2/8
Let x = -19 + 27. Let q(s) be the third derivative of 0 + 0*s**4 + 0*s - 1/336*s**x + 0*s**6 + 0*s**3 + 0*s**7 + 2*s**2 + 0*s**5. Factor q(p).
-p**5
Let q be ((-54)/7 - -8)/(1/2). Solve 2/7*s**2 + 0 + 0*s - q*s**4 - 2/7*s**3 = 0.
-1, 0, 1/2
Let z(l) be the second derivative of -2*l + 1/18*l**4 + 0 + 2/9*l**3 + 1/3*l**2. Factor z(c).
2*(c + 1)**2/3
Let l(c) be the first derivative of -c**4/12 + c**2/2 - 2*c + 2. Let s(n) be the first derivative of l(n). Solve s(i) = 0 for i.
-1, 1
Let -16*q**2 - 60*q**4 + 77*q**5 - 28*q**5 - 35*q**5 + 72*q**3 = 0. Calculate q.
0, 2/7, 2
Let f(y) be the first derivative of 0*y**3 + 0*y**2 + 5/18*y**6 + 0*y + 7/15*y**5 - 6 + 1/6*y**4. Factor f(d).
d**3*(d + 1)*(5*d + 2)/3
Let f = 28 - 24. Let m(n) be the first derivative of -3*n**2 + 15/8*n**f + 1 - 3*n**3 + 12*n - 3/10*n**5. Factor m(c).
-3*(c - 2)**3*(c + 1)/2
Let j(f) = -4*f**2 - 2*f. Let i = 29 + -23. Let h be -1*(-10)/(-4)*-2. Let z(t) = 3*t**2 + t. Let u(n) = h*j(n) + i*z(n). Factor u(m).
-2*m*(m + 2)
Let y(j) be the first derivative of -9*j**4 + 25*j**3 - 3*j**2/2 - 6*j + 12. Factor y(z).
-3*(z - 2)*(3*z - 1)*(4*z + 1)
Let f(p) be the third derivative of -p**9/120960 - p**8/40320 + p**7/10080 + p**6/1440 + p**5/20 + p**2. Let k(t) be the third derivative of f(t). Factor k(g).
-(g - 1)*(g + 1)**2/2
Let m(q) be the first derivative of -4/5*q**5 + 0*q**3 + 0*q**2 + 1/2*q**4 + 0*q + 1/3*q**6 - 2. Suppose m(o) = 0. What is o?
0, 1
Let p(a) be the first derivative of 0*a**2 + 1/25*a**5 - 1/10*a**4 - 2 + 1/15*a**3 + 0*a. Factor p(m).
m**2*(m - 1)**2/5
Suppose -b = -5*b + 432. Let s be 852/b - (-6)/2. Factor -56/9*o + 8/9 + s*o**2.
2*(7*o - 2)**2/9
Let d be 3/(0 + -1 + 2). Let k(h) be the second derivative of 0*h**2 - 2/3*h**3 + 1/5*h**5 + 0 - 5/6*h**4 + d*h + 1/3*h**6. Factor k(n).
2*n*(n - 1)*(n + 1)*(5*n + 2)
Suppose -6 = -7*t + 4*t. Factor f + f**t - 5*f + 0*f + 3*f**2 - f**3.
-f*(f - 2)**2
Suppose 4*g - 4*j - 6 = -2*j, -4*j = 3*g - 21. Factor -3*z**2 + 7*z - g + 9 + 2*z - 12.
-3*(z - 2)*(z - 1)
Let j(u) be the second derivative of -u**4/6 - 8*u**3/33 + 3*u**2/11 + 9*u. Solve j(m) = 0 for m.
-1, 3/11
Let p be 8/36 - 22/(-360). Let w(r) be the second derivative of 0*r**2 - p*r**5 - 1/6*r**7 - 41/90*r**6 + 0 + 1/9*r**3 + 5/36*r**4 - 2*r. Solve w(b) = 0.
-1, -2/7, 0, 1/3
Let n(c) be the first derivative of -c**4 - 4*c**3/3 + 10*c**2 - 12*c - 3. Factor n(b).
-4*(b - 1)**2*(b + 3)
Let y be (-2)/(32/38 + 2). Let m = -1/27 - y. Determine r, given that -4/3*r**4 + 2/3*r**5 + m*r**3 + 0*r + 0 + 0*r**2 = 0.
0, 1
Suppose -4*v = -4*p + 100, -3*v - 47 = 5*p + 4. Let t be ((-2)/v)/((-17)/(-34)). Find s, given that 0 + t*s**2 + 2/11*s = 0.
-1, 0
Let n(b) = -2*b + 8. Let f be n(7). Let g be f/(-2 - 1) + 0. Factor -2/3*u + 0 + u**3 + 1/3*u**g.
u*(u + 1)*(3*u - 2)/3
Factor 32/7 + 2/7*z**2 + 16/7*z.
2*(z + 4)**2/7
Let q be -7*(2 - (-15 + -2)). Let r = -663/5 - q. Let 4/5*z**2 + 6/5*z - 6/5*z**4 - 2/5*z**5 + r - 4/5*z**3 = 0. What is z?
-1, 1
Let y(u) be the first derivative of -4/5*u + 2 - 1/5*u**2 + 2/15*u**3. Factor y(o).
2*(o - 2)*(o + 1)/5
Suppose 63*f = 61*f + 8. Factor -a**f - 1/3*a**5 + 0 - a**3 - 1/3*a**2 + 0*a.
-a**2*(a + 1)**3/3
Factor 6/7*k**2 - 12/7*k**3 + 0 + 0*k + 6/7*k**4.
6*k**2*(k - 1)**2/7
Let c be 6 + -2 + 2 + -1. Suppose 5*k + 5*h + 9 = -6, -23 = k + c*h. Factor -2*j**k - 2/5*j - 8/5*j**3 + 0.
-2*j*(j + 1)*(4*j + 1)/5
Let i = 15 - -5. Let s be 1*28/i + -1. Factor -4/5*c - 2/5*c**2 - s.
-2*(c + 1)**2/5
Let l = -1 + 11. Let p be 2*1*(-2 + 3). Factor 2 + 2*i**p + 0 + 2*i**4 + l*i**2 - 8*i**3 - 8*i.
2*(i - 1)**4
Suppose 0 = -v + 5*n + 5, -4*v + 7*n - 2*n = -35. Let m be ((-35)/v)/(2/(-4)). Solve -12*k + 3*k + 4 + 5*k**2 - m*k + 25*k**3 = 0 for k.
-1, 2/5
Let d(f) be the third derivative of -f**6/120 + f**5/15 - 5*f**4/24 + f**3/3 + 2*f**2. Factor d(w).
-(w - 2)*(w - 1)**2
Let r(i) be the second derivative of -i**5/30 + i**4/18 + 5*i**3/9 + i**2 - i. Factor r(m).
-2*(m - 3)*(m + 1)**2/3
Let k = 31 - 10. Find s such that 21*s - 121*s**2 + k*s - 4 - 5*s + 7*s = 0.
2/11
Let h(y) be the third derivative of -y**6/960 + y**5/480 + y**4/96 - 11*y**2. Find b such that h(b) = 0.
-1, 0, 2
Let u(b) be the first derivative of -b**4/2 - 4*b**3/3 - b**2 + 17. Determine z, given that u(z) = 0.
-1, 0
Factor -32/3*v - 8 - 14/3*v**2 - 2/3*v**3.
-2*(v + 2)**2*(v + 3)/3
Let a(m) be the first derivative of m**4/2 + 2*m**3 + 2*m**2 + 32. Solve a(w) = 0 for w.
-2, -1, 0
Suppose 0*z = z + 1. Let w be (z/12)/((-3)/8). What is u in -w*u**3 - 16/9 - 4/3*u**2 - 8/3*u = 0?
-2
Let h = -1 - -6. Factor 0*o**4 - 2/7*o + 0 - 2/7*o**h + 4/7*o**3 + 0*o**2.
-2*o*(o - 1)**2*(o + 1)**2/7
Let i = -40 + 24. Let z = i + 18. Factor -3/2*t + 1 + 0*t**z + 1/2*t**3.
(t - 1)**2*(t + 2)/2
Suppose -v + 6*v = 40. Suppose -q + v = 3*z + 2, 2*z - 4 = 0. Determine k, given that -3*k**2 + 2*k**2 - 2*k**3 + q*k**2 - k**4 = 0.
-1, 0
Let u be 23/(115/(-10))*1/(-4). Factor u + 1/4*h - 1/4*h**2.
-(h - 2)*(h + 1)/4
Suppose w + 0 = 4. Let p(r) be the third derivative of 0*r**w + 0*r + 0*r**3 - r**2 + 1/40*r**5 + 0 + 1/140*r**7 + 1/40*r**6. Factor p(g).
3*g**2*(g + 1)**2/2
Let q(k) be the third derivative of -k**7/70 - k**6/40 - 49*k**2. Find m such that q(m) = 0.
-1, 0
Let j(z) be the second derivative of z**7/70 + z**6/25 - 9*z**5/100 - z**4/5 + 2*z**3/5 - 3*z. Factor j(m).
3*m*(m - 1)**2*(m + 2)**2/5
Let t(j) = -5*j - 98. Let h be t(-20). What is l in -1/9 + 0*l + 1/9*l**h = 0?
-1, 1
Factor -33*u + 7*u**3 - u**3 + 33*u + 3*u**4 - 3*u**5.
-3*u**3*(u - 2)*(u + 1)
Suppose 10*i**2 + 149*i + 4*i**4 - 2*i**3 - 14*i**4 + 6*i**5 - 153*i = 0. What is i?
-1, 0, 2/3, 1
Let h = -1117/252 + -5/36. Let m = h - -135/28. Factor -1/4*p**2 + 0 + m*p.
-p*(p - 1)/4
Let k(r) = -r**4 - r**3 - r**2 + r. Let o(m) = -3*m**5 + 3*m**4 - 12*m**3 - 12*m**2 + 15*m - 3. Let y(u) = 6*k(u) - o(u). Factor y(n).
3*(n - 1)**4*(n + 1)
Let f be (-5)/11*-7 - (32 - 29). Find d such that -6/11*d**3 + 0*d + f*d**2 + 0 = 0.
0, 1/3
Let a = 209/4 - 52. Suppose 0*b - a*b**2 + 1/4 = 0. What is b?
-1, 1
Let d(g) = -9*g**3 - 81*g**2 + 96*g - 69. Let w(v) = 2*v**3 + 20*v**2 - 24*v + 17. Let j(p) = 5*d(p) + 21*w(p). Determine c so that j(c) = 0.
1, 2
Solve c - 2*c**2 + c + 2*c + 6*c**2 = 0.
-1, 0
Factor 8*a**2 + 6 - 2 + 4 + 20*a.
4*(a + 2)*(2*a + 1)
Let f = 14 + -11. Suppose -2*p = 4*h - 20, -3*p + 0*h + 3*h + f = 0. Factor 1/5*x**2 - 1/5*x**5 + 0 - 1/5*x**p + 0*x + 1/5*x**3.
-x**2*(x - 1)*(x + 1)**2/5
Let 2*t**2 - 250*t + 247*t - 5*t**2 = 0. What is t?
-1, 0
Factor -6/17*i + 0 + 2/17*i**2.
2*i*(i - 3)/17
Let z = -13 - -13. Determine p, given that z*p + 3/2*p**3 + 6*p**4 + 7/2*p**5 - p**2 + 0 = 0.
-1, 0, 2/7
Suppose l + 12 = 5*l. Let -3/5*b**4 + 3/5*b + 3/5*b**5 - 3/5 + 6/5*b**2 - 6/5*b**l = 0. Calculate b.
-1, 1
Let i(x) be the third derivative of -x**7/210 + x**6/120 + 5*x**2. Find f, given that i(f) = 0.
0, 1
Let v(x) = -2*x**5 + x**3 - 3*x**2 - 5*x. Let p(l) = -l**5 + l**4 + l**3 - 3*l**2 - 4*l. Let d(i) = -3*p(i) + 2*v(i). Factor d(q).
-q*(q - 1)*(q + 1)**2*(q + 2)
Let u be 1 + (-5)/10*2. Let y be (-4)/13*(u - 1). Determine l, given that -6/13*l + y + 0*l**2 + 2/13*l**3 = 0.
-2, 1
Let s(v) be the second derivative of 0*v**2 + 0 + 3/70*v**5 + v + 1/21*v**3 + 1/105*v**6 + 1/14*v**4. Solve s(a) = 0.
-1, 0
Let h(c) be the third derivative of 13*c**5/20 + 7*c**4/8 - 7*c**3 + 5*c**2. Let b(t) = -11*t**2 - 6*t + 12. Let w(a) = 18*b(a) + 5*h(a). Factor w(j).
-3*(j - 1)*(j + 2)
Suppose 2*b = b + 15*b. Let a(o) be the third derivative of 3*o**2 + 1/6*o**3 + 0*o + b - 1/60*o**5 + 0*o**4. Solve a(v) = 0 for v.
-1, 1
Let k(q) be the second derivative of -q**4/36 - 2*q**3/9 - 2*q**2/3 - 11*q + 1. Let k(x) = 0. What is x?
-2
Let q(x) be the third derivative of x**5/630 - x**4/84 + 18*x**2. Determine p so that q(p) = 0.
0, 3
Suppose -o - 200 = -5*h, -2*h + 7*h = -2*o + 215. Let l = 124/3 - h. Find g such that 0*g + 0 - 1/3*g**5 + 1/3*g**4 + l*g**3 - 1/3*g**2 = 0.
-1, 0, 1
Suppose 30 = -4*z - 5*r - 3, -r = 5*z + 15. Let a be ((-3)/(-27)*z)/(-1). Factor -2/9 - 2/9*i**3 + a*i + 2/9*i**2.
-2*(i - 1)**2*(i + 1)/9
Let p(f) be the first derivative of 7*f**4/66 + 5*f**3/33 - 2*f**2/11 - 3*