ctor -4/3 - 1/3*n**2 + 5/3*n.
-(n - 4)*(n - 1)/3
Let k(t) be the first derivative of t**6 - 2*t**5/5 - 6*t**4 + 8*t**3/3 - 149. Let k(h) = 0. Calculate h.
-2, 0, 1/3, 2
Solve 34/21*a + 10/3*a**2 + 4/21 = 0 for a.
-2/7, -1/5
Suppose -2*v = 4*g + 20, -4*v - 14*g + 2 = -13*g. Determine b so that -1/2*b**4 - 2*b - 1/2 - v*b**3 - 3*b**2 = 0.
-1
Factor -9*d**2 - 107 - 12*d**2 - 168 + 867*d + 48 - 19.
-3*(d - 41)*(7*d - 2)
Let w(v) be the third derivative of -v**5/510 - v**4/51 - 4*v**3/51 - 45*v**2 + 1. Factor w(z).
-2*(z + 2)**2/17
Let s be (-5 - -1) + (-3 + 5 - -37). Determine h so that 16 + 4*h**5 + s*h - 24*h**4 + 8*h**2 - 28*h - 43*h + 32*h**3 = 0.
-1, 1, 4
Let k(l) = 43*l**3 + l**2 - 21*l**3 - 4*l + 4 - 20*l**3. Let s(r) = -3*r**3 - 3*r**2 + 9*r - 9. Let g(w) = 9*k(w) + 4*s(w). Let g(q) = 0. Calculate q.
0, 1/2
Let z(u) = -4*u**4 - u**3 + 8*u**2 + 5*u + 5. Let p(o) = -4*o**4 - 2*o**3 + 8*o**2 + 6*o + 6. Let d(j) = -5*p(j) + 6*z(j). Factor d(x).
-4*x**2*(x - 2)*(x + 1)
Let p(d) = -26*d - 672. Let a be p(-26). Let s(m) be the first derivative of -2/55*m**5 - 1/11*m**4 + a + 0*m**3 + 2/11*m + 2/11*m**2. Factor s(h).
-2*(h - 1)*(h + 1)**3/11
Suppose -5*n + 83 = -4*j, 10 = -j + 2*n - 7. Let l = j - -83/3. Factor 0*h + l - 2/3*h**2.
-2*(h - 1)*(h + 1)/3
Let g(c) = c**2 + 2*c - 2 + 3 + 0 - 2. Let h be g(1). Factor 0*y**h - 2*y**3 - 4*y - 2*y + 4*y - 4*y**2.
-2*y*(y + 1)**2
Let g(z) = -111*z**3 + 207*z**2 + 84*z - 24. Let b(y) = -110*y**3 + 202*y**2 + 84*y - 26. Let x(d) = 6*b(d) - 5*g(d). Factor x(j).
-3*(j - 2)*(5*j + 3)*(7*j - 2)
Let a(y) be the third derivative of y**7/42 + y**6/12 - 5*y**4/12 - 5*y**3/6 - 84*y**2. Factor a(n).
5*(n - 1)*(n + 1)**3
Let j(t) be the first derivative of 14 - 3/8*t**2 - 1/8*t**3 + 3/32*t**4 + 0*t. Factor j(s).
3*s*(s - 2)*(s + 1)/8
Let z = 20642/11 - 1876. Factor 0 - 2/11*t - 2/11*t**4 - z*t**3 - 6/11*t**2.
-2*t*(t + 1)**3/11
Let v(n) be the third derivative of 3*n**8/112 + n**7/140 - n**6/4 - 3*n**5/8 + n**4/4 + n**3 + 15*n**2. Determine k so that v(k) = 0.
-1, -2/3, 1/2, 2
Suppose 58 = 14*d + 2. Let v(j) be the first derivative of 1/16*j**4 + 27/4*j + 27/8*j**2 - d + 3/4*j**3. Determine m, given that v(m) = 0.
-3
Let n(b) be the second derivative of -9*b + 0 + 14/3*b**3 - 49*b**2 - 1/6*b**4. Let n(p) = 0. Calculate p.
7
Let i be ((-9)/33)/((-111)/74). Let 2/11*p**3 + i*p**4 - 2/11*p**2 + 0 - 2/11*p = 0. Calculate p.
-1, 0, 1
Let a(s) = s + 7. Let h be a(-7). Suppose h = -c - 1 + 6. What is d in -32*d**4 - 6*d**5 + 4*d**3 - 5*d**c + 4 + 22*d - 3*d**5 + 28*d**2 - 12*d**3 = 0?
-1, -2/7, 1
Let l(d) be the second derivative of -d**6/3240 + d**5/108 - 25*d**4/216 + 5*d**3/2 + 4*d. Let w(i) be the second derivative of l(i). Let w(u) = 0. What is u?
5
Let y(r) = -r**2 + 6*r + 10. Let l be y(6). Suppose 31*n = 26*n + l. What is w in -23 + 3*w**n + 24 - 13 = 0?
-2, 2
Let a be 190/525 + (-3)/126*4. Let 46/15*c**3 + 26/15*c - 14/15*c**4 - a - 18/5*c**2 = 0. Calculate c.
2/7, 1
Let s(l) = 13*l**3 + 192*l**2 + 515*l + 351. Let w(u) = -32*u**3 - 480*u**2 - 1288*u - 876. Let k(v) = -12*s(v) - 5*w(v). What is q in k(q) = 0?
-21, -2, -1
Let a(u) be the first derivative of -20*u**3 + 1054*u**2 - 280*u - 351. Factor a(c).
-4*(c - 35)*(15*c - 2)
Let t be (188/235)/(34/20). Suppose 0 + 6/17*c**3 - t*c**5 + 4/17*c - 14/17*c**2 + 16/17*c**4 = 0. What is c?
-1, 0, 1/2, 2
Let t(u) be the second derivative of u**7/12600 + 11*u**6/3600 - u**5/50 + 19*u**4/12 - 14*u. Let m(i) be the third derivative of t(i). Factor m(w).
(w - 1)*(w + 12)/5
Let o(s) be the third derivative of -1/70*s**5 + 2/21*s**3 - 13*s**2 + 0*s + 0 - 1/84*s**4. Let o(l) = 0. Calculate l.
-1, 2/3
Let k(s) be the first derivative of 4*s**3/21 - 38*s**2/7 + 138. Solve k(h) = 0.
0, 19
Let g(r) be the second derivative of -r**3 + 0 + 13*r + 1/2*r**4 - 1/10*r**5 + r**2. Factor g(d).
-2*(d - 1)**3
Let n(i) = 16*i + 80. Let l be n(-5). Factor 0*u + l + 3/2*u**2.
3*u**2/2
Let w(i) = 7*i - 1. Let c(l) = 8*l - 2. Let f(g) = 6*c(g) - 7*w(g). Let r be f(-8). Factor m**2 + 0*m + 0*m**2 + m**2 + m + m**r.
m*(m + 1)**2
Let a be 12/30*(-4)/(-288). Let u(w) be the third derivative of -a*w**6 + 1/9*w**3 + 1/30*w**5 - 1/12*w**4 + 0 + 3*w**2 + 0*w. Factor u(s).
-2*(s - 1)**3/3
Let m(g) be the first derivative of -2*g**5/15 + g**4/2 + 2*g**3/9 - g**2 - 587. Factor m(l).
-2*l*(l - 3)*(l - 1)*(l + 1)/3
Let d(t) = -28*t**2 + 8*t + 84. Let n(q) = 2*q**2 + q + 1. Let s(x) = d(x) + 12*n(x). Solve s(c) = 0.
-3, 8
Let s = -11 - -10. Let x be (1 + s)/(-3 + 5). Find f, given that 2*f**2 + x + 4*f + 4 - 10*f = 0.
1, 2
Let y(b) be the first derivative of b**5/80 + b**4/16 + b**3/12 + b - 5. Let v(x) be the first derivative of y(x). Let v(q) = 0. Calculate q.
-2, -1, 0
Factor 92*z**3 - 22*z**3 - 21*z**3 + 10*z - 2*z**2 - 30*z**3 + 2*z**4 - 29*z**3.
2*z*(z - 5)*(z - 1)*(z + 1)
Let y = 2 - -3. Suppose -q + y = 1. Factor -3*m - 32*m**2 + 35*m**2 - 6*m**q + 3*m**3 + 3*m**4.
-3*m*(m - 1)**2*(m + 1)
Let o(z) = z - 1. Let d(a) = 3*a**2 - 9*a + 6. Let h be d(3). Let k(y) = 3*y**2 + 12*y + 33. Let q(g) = h*o(g) + k(g). Factor q(n).
3*(n + 3)**2
Let -2/5*x**2 - 1/5*x**3 + 4/5*x + 8/5 = 0. Calculate x.
-2, 2
Let n(j) be the third derivative of -j**8/560 - j**7/175 - j**6/200 + 159*j**2. Let n(u) = 0. Calculate u.
-1, 0
Factor 0*o + 0 + 3/2*o**3 + 3/2*o**2.
3*o**2*(o + 1)/2
Let a = 26195 + -235747/9. Solve 0 - a*p**2 + 10/9*p - 2/9*p**3 = 0 for p.
-5, 0, 1
Let w = -42 - -39. Let k(t) = 105*t**3 - 105*t + 40. Let c(x) = 8*x**3 - 8*x + 3. Let z(a) = w*k(a) + 40*c(a). Suppose z(y) = 0. What is y?
-1, 0, 1
Factor 4/7*l + 1/7*l**3 + 5/7*l**2 + 0.
l*(l + 1)*(l + 4)/7
Let d(x) = -3*x**2 - 109*x + 116. Let i(q) = -20*q**2 - 650*q + 695. Let j(c) = 25*d(c) - 4*i(c). Factor j(b).
5*(b - 24)*(b - 1)
Factor 48/7 + 1/7*z**3 - 3/7*z**2 - 46/7*z.
(z - 8)*(z - 1)*(z + 6)/7
Let z be ((-2)/(-9))/((-276)/(-156)). Let b = 8/23 - z. Factor 2/9*r**3 - 2/9*r**4 + b*r**2 + 0*r - 2/9*r**5 + 0.
-2*r**2*(r - 1)*(r + 1)**2/9
Let n = -1620 - -1624. Let h(g) be the first derivative of 0*g**3 + 4/45*g**5 - 1/18*g**n + 11 + 0*g + 0*g**2 - 1/27*g**6. Factor h(y).
-2*y**3*(y - 1)**2/9
Let y(a) = a - 10. Let q be y(14). Suppose -q*x + 9 = -3. Factor 2*v**4 + v**5 + 13*v**x - 14*v**3 - 2*v**5.
-v**3*(v - 1)**2
Let a(f) = -38*f + 1408. Let l be a(37). Factor 2/5*x**l + 8/5*x + 6/5.
2*(x + 1)*(x + 3)/5
Let y(n) be the third derivative of -5*n**8/336 + 7*n**6/24 - n**5/6 - 5*n**4/2 + 20*n**3/3 - 3*n**2 - 34. Let y(h) = 0. What is h?
-2, 1, 2
Let p(f) be the second derivative of 7/60*f**4 + 0 + 14*f + 1/30*f**3 - 3/5*f**2. Factor p(j).
(j + 1)*(7*j - 6)/5
Let r be ((-44 - -43) + -2 + 6)/(2 - 1). Let 13/6*y**2 + 5/6 + 2/3*y**r + 7/3*y = 0. Calculate y.
-5/4, -1
Let p(m) = -11*m**3 + 11*m**2 + 2*m + 5. Let h(o) = -17*o**3 + 17*o**2 + 2*o + 8. Let w(n) = 5*h(n) - 8*p(n). Suppose w(q) = 0. What is q?
-1, 0, 2
Let a(y) be the first derivative of -1 - 12*y + 21/4*y**4 + 9*y**3 - 18*y**2. Solve a(b) = 0 for b.
-2, -2/7, 1
Let f = 65 - 46. Let v = f - 15. Factor -3*d**4 - v*d**4 + 5*d**4.
-2*d**4
Suppose 0 = 162*t - 165*t + 75. Let l = t - 25. Factor 1/2*h**5 - h**4 + l*h - 1/2*h**3 + 0 + h**2.
h**2*(h - 2)*(h - 1)*(h + 1)/2
Let a(f) = 12*f**5 - 36*f**4 + 18*f**3 + 9*f**2 + 3. Let h(n) = n**4 - n**3 - n**2 - 1. Let b(w) = -a(w) - 3*h(w). Determine o so that b(o) = 0.
-1/4, 0, 1, 2
Factor -2*b**3 - 20*b**3 - 60*b**2 + 36*b**3 + 175*b - 9*b**3.
5*b*(b - 7)*(b - 5)
Let 32 + 168 + 4*o**2 + 538*o - 742*o = 0. What is o?
1, 50
Let m = 11845/4 + -2961. Suppose -1/4*s**2 + 0 + 1/2*s - m*s**3 = 0. Calculate s.
-2, 0, 1
Let z(c) = -10*c**4 + 6*c**3 + 24*c**2 + 8*c - 4. Let k(b) = -10*b**4 + 6*b**3 + 24*b**2 + 8*b - 6. Let g(y) = 4*k(y) - 6*z(y). Factor g(u).
4*u*(u - 2)*(u + 1)*(5*u + 2)
Let y be 2320/(-1450)*(-10)/44. Find m, given that 0 - 2*m**2 + y*m = 0.
0, 2/11
Let d be 8/(-21)*1715/(-210)*6/7. Find a, given that 16/9*a**2 - 4/9*a - d - 4/9*a**3 = 0.
-1, 2, 3
Let m(t) be the third derivative of -3*t**7/140 + t**6/20 + 11*t**5/40 - t**4 + t**3 + 4*t**2 + 2. Solve m(v) = 0 for v.
-2, 1/3, 1, 2
Let d(b) be the second derivative of -2*b**6/15 + 61*b**5/25 - 84*b**4/5 + 736*b**3/15 - 128*b**2/5 - 182*b. Factor d(z).
-4*(z - 4)**3*(5*z - 1)/5
Let j(y) be the second derivati