**5/12 - 8*m**2 - 5*m. Let g(q) be the first derivative of x(q). Factor g(z).
5*z**2*(z + 1)**2
Let b(g) = 5*g**2 - 155*g + 120. Let i(n) = -n**2 + 22*n - 17. Let r(t) = 2*b(t) + 15*i(t). Solve r(u) = 0 for u.
1, 3
Let k(o) = -6*o**3 - 58*o**2 - 80*o - 20. Let v(m) = -m**3 + m**2 - 1. Let a(j) = -k(j) - 4*v(j). Solve a(f) = 0.
-3, -2, -2/5
Factor -2/5*w**3 + 0 - 6/5*w + 8/5*w**2.
-2*w*(w - 3)*(w - 1)/5
Find s, given that 264110*s - 2*s**4 - 10282*s**2 - 4712*s**2 - 262126 + 298*s**3 - 82730 - 125740 = 0.
2, 49
Let t = 4028 - 4025. Factor 25*w**2 + 125/6*w**t + 4/3 + 10*w.
(5*w + 2)**3/6
Suppose 6*d + 3192 - 3240 = 0. Let c(z) be the third derivative of 0*z**3 + 0*z - d*z**2 + 1/15*z**5 + 1/3*z**4 + 0. Factor c(v).
4*v*(v + 2)
Suppose 0 = -2*t - 8, 3*u - 3*t = 2*t + 26. Factor 0 + 30*c + 9 + 3*c**u - 10*c - 8*c.
3*(c + 1)*(c + 3)
Let q be (-5)/(-28 - 156/(-12)). Factor 1/3*j**2 - 2/3*j + q.
(j - 1)**2/3
Let k(m) be the third derivative of m**5/20 - 9*m**4/8 + 7*m**3 + 89*m**2 - 1. Factor k(s).
3*(s - 7)*(s - 2)
Let a(v) = v**3 - 2*v**2 + 2*v - 2. Let x = 34 + -32. Let i be a(x). Find j, given that -82*j**i - j + 86*j**2 - 2*j**3 + 13*j**3 + 6*j**4 = 0.
-1, 0, 1/6
Let p(u) = -6*u**2 + 49*u + 137. Let h(v) = 9*v**2 - 73*v - 206. Let x(c) = -5*h(c) - 8*p(c). Factor x(b).
3*(b - 11)*(b + 2)
Find i such that -64114*i + 11363 - 894*i**3 + 36637 - 15*i**4 - 17640*i**2 - 48686*i = 0.
-20, 2/5
Let d(p) = p**3 + 4*p**2 - 5*p + 4. Let g be d(-5). Factor 2*n**2 - 7*n**2 - g*n**3 - 5*n**2 + 2*n**2.
-4*n**2*(n + 2)
Let t(g) be the third derivative of -g**5/390 + g**4/52 + 20*g**2. Factor t(s).
-2*s*(s - 3)/13
Let b(h) be the third derivative of -h**7/4620 - h**6/1980 - 3*h**3 - 14*h**2. Let f(a) be the first derivative of b(a). Factor f(r).
-2*r**2*(r + 1)/11
Let x(l) = -31*l + 1612. Let j be x(52). Factor 0*o**2 + 0*o + j + 1/3*o**3.
o**3/3
Let v(i) be the third derivative of -i**6/60 + 41*i**5/30 + 44*i**4/3 + 60*i**3 + 8*i**2 + i. Factor v(l).
-2*(l - 45)*(l + 2)**2
Let u(a) = -a**5 + a**4 - a**3 + a - 1. Let w(y) = 4*y**5 - 5*y**4 + 2*y**3 + 2*y**2 - 3*y + 3. Let j(v) = 15*u(v) + 5*w(v). Factor j(r).
5*r**2*(r - 2)*(r - 1)*(r + 1)
Factor 3/2*o**2 + 228 + 63*o.
3*(o + 4)*(o + 38)/2
Let f be 36/(-288) - -839*1/(-8). Let l = f + 219/2. Suppose 3/2*w**2 - 6 - l*w = 0. What is w?
-1, 4
Let 10*h**3 + 2/3*h**5 - 40/3*h + 0 + 16/3*h**4 - 8/3*h**2 = 0. Calculate h.
-5, -2, 0, 1
Let i(t) be the second derivative of t**7/12600 + t**6/1800 + t**5/600 - 5*t**4/3 - 19*t. Let d(j) be the third derivative of i(j). Let d(n) = 0. What is n?
-1
Factor 1/8*j**2 - 3/4 - 5/8*j.
(j - 6)*(j + 1)/8
Find s, given that 8*s**4 - 2*s**3 - 7*s**4 + 5*s**2 - 2*s**3 - 2*s + 0*s = 0.
0, 1, 2
Let s be ((4/(-3))/1)/((-10)/(-15)) - -4. Factor 1/3*p**s - 2/3 + 1/3*p.
(p - 1)*(p + 2)/3
Factor -13/2*k - 13*k**2 + 3 - 7/2*k**3.
-(k + 1)*(k + 3)*(7*k - 2)/2
Let j(g) = g**3 + 6*g**2 - 9. Let r be j(-5). Suppose -2*i - 3*i + 20 = 5*k, 4*k - r = 3*i. Factor 2/9*d**k - 2/9*d**2 + 0 + 0*d**3 + 0*d.
2*d**2*(d - 1)*(d + 1)/9
Let z(n) = -87*n**2 + 492*n - 747. Let s(l) = 22*l**2 - 124*l + 187. Let y(k) = 21*s(k) + 5*z(k). Suppose y(m) = 0. Calculate m.
8/3
Suppose -128/7 - 2/7*a**4 - 4*a**3 + 32*a - 66/7*a**2 = 0. Calculate a.
-8, 1
Let g = -17 - -21. Solve -4*z**g - z**4 - 40*z**3 + 1940*z**2 - 2020*z**2 = 0 for z.
-4, 0
Let u(v) be the second derivative of -1/35*v**5 + 8/21*v**3 + 0 + 0*v**2 + 24*v + 2/21*v**4 - 1/105*v**6. Factor u(p).
-2*p*(p - 2)*(p + 2)**2/7
Let x be (-28)/(-7) + 140/75*-2. Factor -x*m**2 + 2/15*m**3 + 4/15 - 2/15*m.
2*(m - 2)*(m - 1)*(m + 1)/15
Find u, given that 17/4*u**3 - 2*u + 1/2*u**4 + 37/4*u**2 - 12 = 0.
-4, -3/2, 1
Suppose 0 = -3*z + 3*n + 311 + 124, 0 = 3*z + 2*n - 435. Factor 4*h**5 + 4*h**4 - 4*h**2 + z*h**3 + 0 + 0 - 149*h**3.
4*h**2*(h - 1)*(h + 1)**2
Suppose -4*t + 3*i + 64 = -47, 0 = -t - 5*i - 1. Let h be (-14)/21*(-81)/t. What is l in 27/8 + 3/8*l**2 + h*l = 0?
-3
Find p, given that -2*p**4 + 36*p**3 - 90*p**2 + 81*p - 27 + p**5 + 10*p**3 - 9*p**4 = 0.
1, 3
Let o be ((-4)/790)/(12/(-120)). Let w = o - -63/316. Factor -1/4*h**2 + w*h + 0 - h**5 - 11/4*h**4 - 9/4*h**3.
-h*(h + 1)**3*(4*h - 1)/4
Suppose u = -3*u. Suppose 7*f + 0 - 14 = u. Determine b, given that 1/4*b**3 + 0 + 0*b**f - 1/4*b = 0.
-1, 0, 1
Let z(j) = j**2 - 5*j + 6. Let a be z(4). Determine h so that -h**a - 1 - 2 + 18*h - 21*h + 1 = 0.
-2, -1
Let d(x) be the second derivative of x**7/5040 + x**6/144 + 5*x**5/48 - 19*x**4/12 - 9*x. Let c(b) be the third derivative of d(b). Factor c(m).
(m + 5)**2/2
Let -2/5*m + 2/5*m**4 + 2/5*m**3 + 0 - 2/5*m**2 = 0. What is m?
-1, 0, 1
Let h(w) = -w**2 + w + 1. Suppose 124 + 20 = 4*j. Let n = j + -35. Let l(i) = -4*i**3 + 18*i**2 - 30*i + 18. Let v(c) = n*l(c) - 2*h(c). Solve v(z) = 0.
1, 2
Let r be 282/54 - (2 + 96/(-54)). Let s(p) be the third derivative of -1/180*p**r + 0*p + 0 - 1/18*p**3 - p**2 + 1/36*p**4. What is c in s(c) = 0?
1
Let m be (-64)/(-2)*((-1387)/114 - -12) + 6. Let z(s) = s - 2. Let d be z(4). Factor 1/3*t**d + t + m.
(t + 1)*(t + 2)/3
Let g be 272/(-168)*234/4. Let a = g - -95. What is v in a*v**2 + 6/7*v + 4/7 = 0?
-2, -1
Let d(p) = 6*p**2 + 9*p - 15. Let h be d(2). Let t be 82/28 - (6 + h/(-6)). Suppose 2/7*z**4 + t*z**2 + 0 - 8/7*z**3 - 4/7*z = 0. What is z?
0, 1, 2
Suppose -4*p + 5*h + 13 = 50, -3*p - 2*h + 24 = 0. What is d in 1/3*d**p + 4/3*d + 0 = 0?
-4, 0
Let k(c) be the third derivative of c**7/315 + c**6/24 - c**5/15 - c**4/2 - 21*c**2. Let w(f) be the second derivative of k(f). Factor w(r).
2*(r + 4)*(4*r - 1)
Let z(c) be the second derivative of c**8/336 - c**7/84 + c**6/72 + c**3/3 + 19*c. Let s(b) be the second derivative of z(b). Factor s(y).
5*y**2*(y - 1)**2
Let k be 2/(3/(-42) - 9/21). Let m be 5/k*((-2)/(-10))/(-1). Find d such that -1/8*d**2 - m*d + 0 = 0.
-2, 0
Let o(z) be the first derivative of 0*z + 8/3*z**3 - 2*z**2 + 4 - z**4. Find u such that o(u) = 0.
0, 1
Suppose -4*i - 3 = -15, -2*r - 5*i = -71. Suppose -r = h - 8*h. Let 3/5*s**h + 0 + 0*s + 0*s**2 + 3/5*s**3 = 0. Calculate s.
-1, 0
Factor -84/5 + 132/5*x**2 - 4*x**3 + 68/5*x.
-4*(x - 7)*(x + 1)*(5*x - 3)/5
Let a(t) be the first derivative of -t**4/22 + 4*t**3/33 + 8*t**2/11 - 125. Factor a(m).
-2*m*(m - 4)*(m + 2)/11
Suppose x = -14 + 16. Factor -3*t + 3*t**2 + 0*t**2 - 3*t**4 + 24 - 23 - t**2 + x*t**3 + t**5.
(t - 1)**4*(t + 1)
Let g(t) be the third derivative of 363*t**5/50 + 44*t**4/5 + 64*t**3/15 - 158*t**2. What is j in g(j) = 0?
-8/33
Suppose 1/3*o**3 + 4*o**2 - 1/3*o - 4 = 0. Calculate o.
-12, -1, 1
Let j(a) = -4*a**2 + 41*a + 80. Let o(b) = b**2 + b - 7. Let t(u) = j(u) + 5*o(u). Determine g so that t(g) = 0.
-45, -1
Let y = 3843 + -49957/13. Factor 2/13*w**3 - y*w**2 - 2/13*w + 2/13*w**4 + 0.
2*w*(w - 1)*(w + 1)**2/13
Let h(u) be the second derivative of 2/15*u**4 + 2/3*u**3 + 4/5*u**2 - 3*u + 0. Factor h(z).
4*(z + 2)*(2*z + 1)/5
Let s be (1 - 10/6)/((-35)/210). Let m(r) be the second derivative of 0*r**2 + 0 + 1/54*r**s + 1/90*r**5 - 4/45*r**6 + 0*r**3 - r. Find h such that m(h) = 0.
-1/4, 0, 1/3
Let m = 42 - 39. Factor -4*j**2 - 65*j**5 + 36*j**5 - 2*j**m + 31*j**5 - 4*j**3.
2*j**2*(j - 2)*(j + 1)**2
Let d(z) = -z**2 + 5*z - 3. Let w be d(2). Suppose -12*c**2 - 3*c**2 - 35*c + 4*c**2 - 35 + 10 - c**w = 0. Calculate c.
-5, -1
Factor 22/5*j**3 + 6*j - 48/5*j**2 - 4/5.
2*(j - 1)**2*(11*j - 2)/5
Let f = -171 - -175. Let y(j) be the third derivative of 0 - 1/300*j**5 + 8*j**2 + 0*j + 1/30*j**f + 0*j**3. Factor y(d).
-d*(d - 4)/5
Find v, given that 3*v - 3 + 3 - 2 - 6*v**2 - 3*v**3 + 8 = 0.
-2, -1, 1
Factor -135*a - 350*a + 2254 - 1774 + 5*a**2.
5*(a - 96)*(a - 1)
Let w(l) be the first derivative of -16*l**5/25 - 34*l**4/5 - 51*l**3/5 + 103*l**2/10 - 14*l/5 - 415. Suppose w(x) = 0. Calculate x.
-7, -2, 1/4
Suppose -14/3*m**2 + 4*m + 2/3*m**3 + 0 = 0. Calculate m.
0, 1, 6
Let q(a) be the first derivative of -a**6/36 + 2*a**5/15 - a**4/4 + 2*a**3/9 - a**2/12 - 62. Find l such that q(l) = 0.
0, 1
Suppose -5 + 13 = 4*y. Suppose y + 0 = q. Factor -63*h**2 - 48 - 9*h**q - 27*h - 69*h - 24*h**3 - 3*h**4.
-3*(h + 2)**4
Let q(n) be the third derivative of 1/540*n**6 + 0 + 4/27*n**3 + 2*n**2 + 0*n + 1/135*n**5 - 7/108*n**4. Factor q(j).
2*(j - 1)**2*(j + 4)/9
Let