+ 175*g + 11. Let r(b) = 5*o(b) + 8*s(b). Factor r(j).
3*(10*j + 1)**3
Suppose -5*w + 25 = 0, -52 = -6*b + 3*b - 2*w. Let m = b + -11. Suppose 0 + 0*a - 1/3*a**m - 1/3*a**2 = 0. Calculate a.
-1, 0
Let c = 5/11 - 23/99. Factor -c*h**3 + 2/9*h**2 + 0 + 4/9*h.
-2*h*(h - 2)*(h + 1)/9
Let u(w) be the third derivative of 1/6*w**3 - 1/30*w**5 + 1/336*w**8 + 0 + 1/210*w**7 + 1/24*w**4 - 1/60*w**6 + 0*w + 3*w**2. Suppose u(h) = 0. Calculate h.
-1, 1
Solve -2/3*q**3 + 1/2*q**2 + 2/3*q - 2/3 + 1/6*q**4 = 0.
-1, 1, 2
Factor 0 - 5/6*g**2 - 5/2*g.
-5*g*(g + 3)/6
Let l(a) be the first derivative of 0*a**2 - 3/2*a**4 + 0*a + 2 - 2/3*a**3. Factor l(y).
-2*y**2*(3*y + 1)
Let q(p) be the second derivative of -p**4/3 - 4*p**3 - 18*p**2 + 3*p. Factor q(o).
-4*(o + 3)**2
Let n(m) = -m + 1. Let g be n(-2). Factor 7*h**3 + h**4 - 4*h**4 - 6*h**g + h**2 + 2*h**4 - h.
-h*(h - 1)**2*(h + 1)
Suppose 3*o + 20 = -16. Let v = o + 20. Factor -2*q**2 - 6*q**3 - v*q**4 + 6*q**4 + 2*q**3.
-2*q**2*(q + 1)**2
Let k(l) be the second derivative of 1/10*l**6 + 0*l**3 - 1/42*l**7 + 2*l**2 - 3*l + 1/20*l**5 - 7/12*l**4 + 0. Factor k(h).
-(h - 2)**2*(h - 1)*(h + 1)**2
Let o(q) be the second derivative of -q**4/66 + 4*q**2/11 - 5*q. Factor o(d).
-2*(d - 2)*(d + 2)/11
Let c(h) be the third derivative of 2/15*h**3 + 1/300*h**6 + 0*h + 3*h**2 - 1/20*h**4 + 0 + 0*h**5. Factor c(m).
2*(m - 1)**2*(m + 2)/5
Let q = 93 + -90. Factor 0*b - b**2 + 0 + 1/2*b**q.
b**2*(b - 2)/2
Determine f so that 0 - 2/3*f - 1/3*f**2 + f**4 + 4/3*f**3 = 0.
-1, 0, 2/3
Let m(k) = k**2 - 2*k + 2. Let z be m(2). Let -54*b**z - 9*b**4 + 57*b**4 - 3*b - 6 + 21*b**5 + 12*b**2 + 12*b**3 - 30*b = 0. Calculate b.
-1, -2/7, 1
Let h(c) be the third derivative of c**7/70 + c**6/20 - 3*c**5/20 - c**4 - 2*c**3 - 4*c**2. Find s such that h(s) = 0.
-2, -1, 2
Factor 24/5 + 3/5*a**2 + 27/5*a.
3*(a + 1)*(a + 8)/5
Determine p so that 39*p**4 - 4/3 - 41/3*p**3 - 113/3*p**2 + 27*p**5 - 40/3*p = 0.
-1, -2/9, 1
Let n = -4 + 6. Let p(f) = -4*f**2 + 2. Let o(q) = 5*q**2 - 3. Let y = -1 - -4. Let h(z) = n*o(z) + y*p(z). Determine k so that h(k) = 0.
0
Find f, given that -3*f**2 + 18953*f - 18953*f - 3*f**5 + 3*f**3 + 3*f**4 = 0.
-1, 0, 1
Let a(b) be the first derivative of 9*b**4/10 - 14*b**3/5 + 16*b**2/5 - 8*b/5 - 23. Solve a(g) = 0 for g.
2/3, 1
Let k = 770 - 768. Determine r, given that 10/7*r - 2/7 - 8/7*r**k = 0.
1/4, 1
Let k = -723 + 726. Factor -4/3*z + 2/3*z**4 - 2/3*z**2 + 0 + 4/3*z**k.
2*z*(z - 1)*(z + 1)*(z + 2)/3
Let s be 2/3*(3 + 18/12). Factor 0 + 0*u - 2/5*u**5 + 2/5*u**4 - 2/5*u**2 + 2/5*u**s.
-2*u**2*(u - 1)**2*(u + 1)/5
Solve -6*o**3 + 6 - 2*o**5 + 6*o**4 + 2*o**2 - 2 - 4 = 0 for o.
0, 1
Let z(a) be the second derivative of 2*a**7/7 + a**6/2 - 57*a**5/20 + 7*a**4/4 + 3*a**3/2 + 18*a. Solve z(u) = 0 for u.
-3, -1/4, 0, 1
Suppose u = -v - 0*u + 1, 2*v = 3*u + 7. Let 0*f + f**v - 2*f + 6*f + f**2 = 0. Calculate f.
-2, 0
Let r(d) be the second derivative of -1/6*d**4 + 3*d + 0*d**3 + d**2 + 0. Factor r(m).
-2*(m - 1)*(m + 1)
Suppose 12 = 2*z - 5*z. Let j(f) = f**2 + 5*f + 4. Let g(x) = x**2 + 6*x + 5. Let l be (5/2)/(-1)*-2. Let n(i) = l*j(i) + z*g(i). Factor n(k).
k*(k + 1)
Let m = -189 + 191. Suppose -98*y**4 + 88/5*y + 16/5 - 574/5*y**3 - 12/5*y**m = 0. What is y?
-1, -2/7, 2/5
Let q(z) = 6*z**5 + 26*z**4 + 46*z**3 + 35*z**2 + 10*z + 1. Let n(s) = -s**5 - s**4 - s**3 - 1. Let h(r) = n(r) + q(r). Find g such that h(g) = 0.
-2, -1, 0
Let x(i) be the first derivative of -4*i**3/3 + 6. Factor x(j).
-4*j**2
Solve h**5 + 40*h**2 + 4*h**5 + 10 - 4*h**4 - 6*h**4 + 206*h**3 - 35*h - 216*h**3 = 0.
-2, 1
Let a be (1 - (-16)/(-12))*0. Suppose 0*k + a*k**3 + 0 + 0*k**2 - k**4 - 7/2*k**5 = 0. Calculate k.
-2/7, 0
Let x(u) be the first derivative of 3*u**4/2 - 10*u**3 - 21*u**2/2 + 21*u - 8. Let t(w) = -w**3 + 6*w**2 + 4*w - 4. Let y(p) = -21*t(p) - 4*x(p). Factor y(c).
-3*c**2*(c + 2)
Let n(k) = -9*k**2 - 7*k + 2. Let u be (-2)/(9/6 + -1). Let w(o) = 5*o**2 + 4*o - 1. Let r(z) = u*n(z) - 7*w(z). Let r(c) = 0. Calculate c.
-1, 1
Let d(i) be the second derivative of i**7/5040 + i**6/720 + i**4/2 - 5*i. Let a(x) be the third derivative of d(x). Factor a(p).
p*(p + 2)/2
Let j(s) = -s. Let y(q) = -2*q - 1. Let i(b) = -10*j(b) + 6*y(b). Let r be i(-4). Find z, given that -2*z**3 + z**2 + 5*z**r - 4*z + 0*z = 0.
0, 1, 2
Factor 4/3*h**2 - 8/3 - 4/3*h.
4*(h - 2)*(h + 1)/3
Let h(s) be the first derivative of -s**6/60 - s**5/75 + 2*s**2 + 6. Let w(y) be the second derivative of h(y). Factor w(n).
-2*n**2*(5*n + 2)/5
Let q(s) be the second derivative of s**8/20160 - s**7/7560 + s**4/4 + 3*s. Let r(b) be the third derivative of q(b). Suppose r(v) = 0. Calculate v.
0, 1
Let c = -532 - -532. Factor c + 2/5*y**2 - 2/5*y.
2*y*(y - 1)/5
Let o(p) be the second derivative of -p**7/7 - 7*p**6/10 - 27*p**5/20 - 5*p**4/4 - p**3/2 - 2*p. Find v such that o(v) = 0.
-1, -1/2, 0
Solve 0 + 27*f - 2 + 3*f - 15*f - 13*f**2 = 0 for f.
2/13, 1
Let -21*l**4 + 5*l**5 - 37*l**3 - 40*l**2 - 9*l**4 + 97*l**3 = 0. Calculate l.
0, 2
Solve -o + 1 + 3 + 6*o - 4*o**4 + 3*o - 8*o**3 = 0 for o.
-1, 1
Find k, given that 3/5*k - 1/5*k**3 + 0*k**2 + 2/5 = 0.
-1, 2
Let 1/4*u + 0 + 1/4*u**2 = 0. What is u?
-1, 0
Let t(d) = d - 7. Let x be t(4). Let l(o) = 27*o + 51. Let i(y) = y**2 - 28*y - 52. Let n(v) = x*i(v) - 4*l(v). Factor n(g).
-3*(g + 4)**2
Let r = -1261/5 + 253. Factor -2*g - 2/5*g**4 + r + 2/5*g**3 + 6/5*g**2.
-2*(g - 1)**3*(g + 2)/5
Suppose 4*z - 5*h = 13, -4*z = -2*z - 3*h - 7. Let d be 2/(-6)*4*-3. Solve 3 - d*r**3 + 5*r**3 + 3*r + 9*r + 5*r**3 + 15*r**z = 0 for r.
-1, -1/2
Let t(w) be the third derivative of -w**5/100 + w**4/60 + w**3/30 - 20*w**2. Solve t(n) = 0.
-1/3, 1
Let p be 558/12*6/9. Let u = p - 61/2. Factor 1/2 - 1/2*y**3 - u*y**2 + 1/2*y.
-(y - 1)*(y + 1)**2/2
Let j(y) be the first derivative of 2*y**6/21 - y**4/7 + 16. Suppose j(a) = 0. Calculate a.
-1, 0, 1
Let h(b) = -5*b + b**3 + 6*b**2 + 2*b - 4 - 4*b**2. Let u(l) = 2*l**2 + 6*l + l**3 - 7*l**2 + 7 - 2*l**3. Let w(n) = 7*h(n) + 4*u(n). Factor w(f).
3*f*(f - 1)**2
Let g be -3*(30/(-9) - -3). Let b be g/5 + 3 - 3. Factor 0 + 0*k - b*k**2.
-k**2/5
Let r(j) = 0*j**2 + 2*j + 0 + 1 - j**2. Let p(t) = -1. Let y(f) = 2*p(f) + r(f). Suppose y(z) = 0. Calculate z.
1
Suppose 3*m + 2*q - 9 = 0, 5*m + q = 2*q + 28. Suppose u = -r - u + 7, 22 = 4*r + m*u. Determine j, given that 0 - 6/5*j**4 - 32/5*j**2 + 26/5*j**r + 8/5*j = 0.
0, 1/3, 2
Let b(i) be the first derivative of -i - 1/15*i**6 - 2 - 2/3*i**3 - 5/6*i**4 + 0*i**2 - 2/5*i**5. Let o(d) be the first derivative of b(d). Factor o(w).
-2*w*(w + 1)**2*(w + 2)
Let a be 84/80 - 5/20. Factor 36/5*j - a - 81/5*j**2.
-(9*j - 2)**2/5
Let h(l) be the third derivative of l**6/120 - l**5/40 - l**4/4 - 5*l**3/6 - 4*l**2. Let c(g) be the first derivative of h(g). Factor c(u).
3*(u - 2)*(u + 1)
Let j(p) be the third derivative of -p**8/336 + p**7/70 - p**6/120 - p**5/20 + p**4/12 + 10*p**2. Determine q, given that j(q) = 0.
-1, 0, 1, 2
Let o(c) = c**3 - 6*c**2 + 2*c - 10. Let k be o(6). Factor 2/5 + 2/5*p**k + 4/5*p.
2*(p + 1)**2/5
Suppose -136*d + 142*d**2 + 154*d**2 - 10 + 30 - 79*d**2 + 49*d**3 = 0. Calculate d.
-5, 2/7
Let q(n) be the third derivative of -n**8/50400 - n**7/12600 - n**5/30 - 2*n**2. Let j(i) be the third derivative of q(i). Factor j(l).
-2*l*(l + 1)/5
Let g(m) be the first derivative of -2*m**3/39 + 2*m**2/13 + 25. Solve g(u) = 0.
0, 2
Let q = -13 - -18. Let k(n) be the third derivative of 0 + 0*n - 1/3*n**3 - 1/3*n**4 - 7/120*n**q + 2*n**2. Determine i so that k(i) = 0.
-2, -2/7
Let o be 1/(-1) + 10 + -7. Let y(x) be the first derivative of -2/27*x**3 + 2 + 1/18*x**4 + 2/45*x**5 - 1/27*x**6 + 0*x + 0*x**o. Find q such that y(q) = 0.
-1, 0, 1
Let k(p) be the first derivative of 2*p**5/25 + 2*p**4/5 + 2*p**3/5 + 12. Find j, given that k(j) = 0.
-3, -1, 0
Let u = 21 + -24. Let s(a) = -a**2 - a + 1. Let n(t) = -t**2 + 12*t. Let v(l) = u*n(l) - 12*s(l). Factor v(x).
3*(x - 2)*(5*x + 2)
Let q be (-4)/2 - (15/9 - 5). Solve -2/3*z**5 + 0 - 2/3*z**4 + 0*z**2 + q*z**3 + 0*z = 0.
-2, 0, 1
Let -1/5*z**3 + 0 - 2/5*z**2 - 1/5*z = 0. Calculate z.
-1, 0
Let s = 9 + -8. Let f(h) = 2*h**2 - 3*h**2 - s + h + 0. Let b(m) = 5*m**2 - 5*m + 2. Let r(t) = -b(t) - 2*f(t). Factor