= c**2 + 2*c - 1. Let m(w) = w**4 - 10*w**3 + 34*w**2 - 22*w + 7. Let b(i) = -5*d(i) + m(i). Factor b(z).
(z - 6)*(z - 2)*(z - 1)**2
Let m(k) = k**3 + 2*k**2 + k. Let b(r) = 4*r**3 - 15*r**2 + 123*r - 100. Let h(d) = 2*b(d) - 6*m(d). Factor h(a).
2*(a - 10)**2*(a - 1)
Let s(w) be the second derivative of w**4/3 + 12*w**3 - w - 20. Factor s(h).
4*h*(h + 18)
Let d(p) = 3*p**3 - p**2 - 19*p. Let h(s) = s**2 - 2*s. Let k(j) = -d(j) + 5*h(j). Factor k(c).
-3*c*(c - 3)*(c + 1)
Suppose -3*n = 4*o - 8, -5 - 1 = -2*n - 2*o. Determine h, given that -h**2 - 7*h - n*h**2 - h + 7*h**2 = 0.
0, 4
Let m(u) be the third derivative of u**6/40 + u**5 - u**4/2 - 40*u**3 - 75*u**2. Factor m(p).
3*(p - 2)*(p + 2)*(p + 20)
Let f(n) = -9*n. Let k be f(-1). Let s = -4 + k. Factor 14 - 3*v**2 - s + 3.
-3*(v - 2)*(v + 2)
Factor 7/2*h**3 - 1/2*h**4 - 3*h**2 + 0*h + 0.
-h**2*(h - 6)*(h - 1)/2
Find o, given that 5/4*o**4 + 0*o**2 + 5*o**3 - 20*o - 20 = 0.
-2, 2
Let l = -134041/5 - -26809. Suppose l + 16/5*v - 4/5*v**2 - 16/5*v**3 = 0. Calculate v.
-1, -1/4, 1
Let h = -356 - -1782/5. Let b(l) be the first derivative of -h*l**2 + 2/15*l**3 + 5 + 2/5*l. Factor b(o).
2*(o - 1)**2/5
Let l(w) be the second derivative of w**4/20 - w**3 + 15*w**2/2 + 5*w - 2. Suppose l(q) = 0. What is q?
5
Let p = -2 - -6. Let t = -117 - -120. Determine i, given that 0*i**3 - i**t + 3*i**p - 4*i**4 + i**5 + i**2 = 0.
-1, 0, 1
Let q be ((-6)/(-21)*2)/((-264)/(-924)). Solve -1/3*w**q + 0 - 2/3*w = 0 for w.
-2, 0
Let d(a) be the first derivative of a**7/1470 + a**6/315 - a**5/210 - a**4/21 - 19*a**3/3 + 9. Let b(v) be the third derivative of d(v). Factor b(i).
4*(i - 1)*(i + 1)*(i + 2)/7
Let c = 12586/1755 - -10/351. Factor -3/5*g**4 - 24/5*g - 18/5*g**3 + 0 - c*g**2.
-3*g*(g + 2)**3/5
Let s(b) be the third derivative of -b**8/168 - 2*b**7/105 - b**6/60 - b**2 + 146. Factor s(a).
-2*a**3*(a + 1)**2
Factor -1/5*v + 3/5 - 3/5*v**2 + 1/5*v**3.
(v - 3)*(v - 1)*(v + 1)/5
Suppose 12*m - 26 = -m. Let b(r) be the first derivative of -3/4*r**4 + 4 + 2*r**3 + 0*r - 3/2*r**m. Determine g so that b(g) = 0.
0, 1
Let -2/3*n**2 - 44/3*n - 14 = 0. Calculate n.
-21, -1
Suppose -66/13*l + 20/13*l**3 - 2/13*l**5 + 16/13*l**2 + 36/13 - 4/13*l**4 = 0. What is l?
-3, 1, 2
Let r(i) be the first derivative of -5*i**3/3 - 5*i**2/2 + 115. Factor r(f).
-5*f*(f + 1)
Let i(x) = -6*x**4 - 149*x**3 - 1001*x**2 + 163*x + 1021. Let s(a) = 4*a**4 + 99*a**3 + 667*a**2 - 109*a - 681. Let d(r) = -5*i(r) - 7*s(r). Solve d(m) = 0.
-13, -1, 1
Suppose -2*u + 6*u - 24 = 0. Let n be (9/(-15))/(4/(-20)). Let 5*z**2 - 7*z + 4*z + n*z**3 - 3*z**4 + 4*z**2 - u = 0. Calculate z.
-1, 1, 2
Let b = 37468/93695 + 2/18739. Suppose -2*p**2 - 37/10*p**3 + 0 - b*p - 3*p**4 - 9/10*p**5 = 0. What is p?
-1, -2/3, 0
Suppose -1148*l + 1147*l = 0. Factor -8/17*y - 2/17*y**3 - 8/17*y**2 + l.
-2*y*(y + 2)**2/17
Let a(z) be the second derivative of z**5/20 - z**4 + 8*z**3 + 29*z**2/2 - 11*z. Let f(n) be the first derivative of a(n). Let f(r) = 0. Calculate r.
4
Let u be ((-32)/5)/2*(-155)/62. Let n be 2/u*56/35. Let -n*g**4 + 0*g + 0*g**3 + 2/5*g**2 + 0 = 0. Calculate g.
-1, 0, 1
Suppose -2*r - 10 = -5*g, 23 - 8 = -3*r. Suppose -j - 2*c + 6*c = -2, g = -5*j + 2*c + 10. Find p, given that 3/2 + 1/2*p - 2*p**j = 0.
-3/4, 1
Let i(m) be the first derivative of 5*m**4/12 + 5*m**3/6 - 7*m - 5. Let q(v) be the first derivative of i(v). Suppose q(o) = 0. Calculate o.
-1, 0
Let m(c) = -5*c**3 + 7*c**2 - 12. Suppose 0 = -5*y + u + u, 5*y + 5 = u. Let g(r) = 66*r**3 - 90*r**2 + 156. Let q(i) = y*g(i) - 27*m(i). Factor q(f).
3*(f - 2)**2*(f + 1)
Let u = 28 - 20. Suppose -2 = 3*h - u. Factor a**4 + a**5 + h*a**5 - 4*a**4.
3*a**4*(a - 1)
Suppose -17*j**3 - 28*j - 664 + 680 + 8*j**2 + 21*j**3 = 0. Calculate j.
-4, 1
Let w = 54 - 47. What is b in 1 + 0*b + b + w*b**3 - b**2 - 18*b**3 + 10*b**3 = 0?
-1, 1
Let u be (-5)/(-2) - 3/6. Let o(l) = l + 31. Let j be o(-28). Factor -2*w**5 + 6*w - 4*w - 10*w**u + 4*w + 2*w**4 - 2*w + 6*w**j.
-2*w*(w - 1)**3*(w + 2)
Let j = -90 - -98. Suppose 16*t - 18*t = -j. Solve -10/13*f**5 + 0*f**3 - 4/13*f**t + 0*f + 0 + 0*f**2 = 0.
-2/5, 0
Suppose -5*d + 4*d = -3*z + 7, -5*d + 22 = 4*z. Let y be (-238)/(-102)*z/5. Factor 1/5*o**5 + 2/5*o + 9/5*o**3 - o**4 - y*o**2 + 0.
o*(o - 2)*(o - 1)**3/5
Let i(g) be the first derivative of g**4/2 - 26*g**3/3 - 14*g**2 - 223. Factor i(d).
2*d*(d - 14)*(d + 1)
Find o, given that 88*o - 204 + 62*o + 3*o**2 - 39*o + 52 - 82 = 0.
-39, 2
Let m(o) = -o**2 - 37*o - 68. Let p be m(-2). Factor -1/2*h**2 + 2*h - 1/2*h**3 + p.
-(h - 2)*(h + 1)*(h + 2)/2
Let u(o) be the third derivative of -o**5/140 - 71*o**4/7 - 40328*o**3/7 - 730*o**2. Factor u(s).
-3*(s + 284)**2/7
Let o(h) be the third derivative of 5*h**8/504 - h**7/35 + h**6/60 + h**5/90 - h**2 + 38*h. Factor o(w).
2*w**2*(w - 1)**2*(5*w + 1)/3
Let i = -29 + 34. Let h(t) be the third derivative of 0*t**6 + 0*t + 1/630*t**7 + 1/2016*t**8 - 1/180*t**5 + i*t**2 + 0*t**3 - 1/144*t**4 + 0. Factor h(c).
c*(c - 1)*(c + 1)**3/6
Suppose -6537 + 6409 = -10*f - 22*f. Factor 0 + 7/3*g**f - g**3 + 0*g**2 + 0*g.
g**3*(7*g - 3)/3
Let n be 48/(-36) - (-13)/3. Solve -n*s**2 + 2 - 9*s + 9*s**3 - 2*s**4 + 8*s**4 + 0*s**2 - 5 = 0.
-1, -1/2, 1
Let u(l) be the third derivative of 3*l**7/14 + 5*l**6/4 + 37*l**5/12 + 25*l**4/6 + 10*l**3/3 - 257*l**2. Factor u(h).
5*(h + 1)**2*(3*h + 2)**2
Let o(q) be the first derivative of 4*q**3/3 - 6*q**2 + 159. Factor o(d).
4*d*(d - 3)
Factor -117*m**2 - 169 + 3*m**3 + 2826 + 223 + 945*m + 1089.
3*(m - 21)**2*(m + 3)
Let h(y) = y**2 + 12*y - 24. Let k be h(-14). Let l(z) be the first derivative of -1/4*z**3 + 5 + z - 1/40*z**5 - 1/4*z**2 + 5/32*z**k. Factor l(i).
-(i - 2)**3*(i + 1)/8
Let m be (-32)/(-44)*9/36 - 2/(-11). Solve 0 + m*p - 2/11*p**3 + 2/11*p**2 = 0.
-1, 0, 2
Let p(i) be the third derivative of -1/273*i**7 + 0 - 8/195*i**5 + 0*i - 43*i**2 - 17/780*i**6 - 1/39*i**4 + 0*i**3. Let p(u) = 0. Calculate u.
-2, -1, -2/5, 0
Let g(d) be the third derivative of d**6/120 + d**5/15 + d**4/6 + 50*d**2 + 2. Suppose g(x) = 0. Calculate x.
-2, 0
Let c be -6 - (5 + -11)*(-11)/(-10). Factor 1/5*l**2 + c + 4/5*l.
(l + 1)*(l + 3)/5
Let m(t) = 4*t + 13. Let s be m(-3). Let f be 1 + ((-2)/34)/(s/11). What is p in -6/17*p**3 + 0 - f*p**2 - 2/17*p**4 - 2/17*p = 0?
-1, 0
Let n(j) be the second derivative of j**6/40 + j**5/10 + 13*j**2/2 - 28*j. Let g(p) be the first derivative of n(p). Let g(q) = 0. What is q?
-2, 0
Let k(o) be the third derivative of -o**7/420 - o**6/20 - 3*o**5/8 - 25*o**4/24 + 52*o**2. Determine c, given that k(c) = 0.
-5, -2, 0
Factor 2*m + 8/7 - 4*m**2 + 6/7*m**3.
2*(m - 4)*(m - 1)*(3*m + 1)/7
Let i = 331/444 - -1/222. Let c be (4 - (-145)/(-30)) + 5/((-120)/(-128)). Let i*y**4 + 9*y**2 + 6*y + 0 + c*y**3 = 0. Calculate y.
-2, 0
Let -16/5*i**3 + 36/5*i**4 + 0 + 26/5*i**5 - 36/5*i**2 - 2*i = 0. What is i?
-1, -5/13, 0, 1
Let o(n) = n**3 + 49*n**2 + 179*n - 2. Let a be o(-4). Factor -8/3*y + 16/3 + 1/3*y**a.
(y - 4)**2/3
Let y(a) be the third derivative of 0*a - 1/42*a**7 + 0 + 1/6*a**5 - 5/6*a**3 + 5/336*a**8 + 5/24*a**4 - 1/12*a**6 + 37*a**2. Factor y(l).
5*(l - 1)**3*(l + 1)**2
Let k(u) = -u**3 + 2*u**2 + u - 1. Let r(c) = -10*c**3 - 28*c**2 - 42*c + 282. Let m(q) = -6*k(q) + r(q). Factor m(d).
-4*(d - 2)*(d + 6)**2
Let g(a) be the second derivative of 0*a**3 - 1/84*a**7 + 0 - 16*a + 0*a**6 + 0*a**2 + 1/40*a**5 + 0*a**4. Determine i so that g(i) = 0.
-1, 0, 1
Let a = 1761 + -1759. Factor 2/5*q**a + 8/5*q + 8/5.
2*(q + 2)**2/5
Let j(a) be the first derivative of 1/2*a**3 - 38 + 3/2*a**2 + 0*a. Factor j(c).
3*c*(c + 2)/2
Suppose -3*h - 3*j + 3 = 0, 3*h + 2*j - 1 = -3*j. Let r be 351/h + 36/6. Find c, given that -495/2*c**2 - 6 + r*c**3 + 72*c = 0.
2/11, 1
Let k(b) be the second derivative of 1/3*b**4 - 1/42*b**7 + 1/15*b**6 + 7/20*b**5 + 0 + 0*b**3 - 6*b + 0*b**2. Factor k(u).
-u**2*(u - 4)*(u + 1)**2
Let i(h) = 132*h - 658. Let s be i(5). Suppose 6/5*p**4 + 0*p + 0 + 6/5*p**3 + 2/5*p**s + 2/5*p**5 = 0. Calculate p.
-1, 0
Let p(a) = 4*a**2 - 16*a + 22. Let j(t) = -1. Let g(k) = k - 3. Let w be g(2). Let h(c) = w*p(c) - 6*j(c). Factor h(i).
-4*(i - 2)**2
Let v(h) be the third derivative of h**6/72 + h**5/4 + 11*h**3/3 - 19*h**2. Let p(o) be th