*t - 40. Let g(d) = -d**2 - 193*d - 202. Let i(a) = 2*g(a) - 11*o(a). Let s be i(17). Let 2/9*j + 0 - 2/9*j**s = 0. Calculate j.
0, 1
Let w be (1 - 0)*(8 - (5 + 0)). Factor -49*x**4 + 4*x**4 + 54*x - 172*x**2 - 4*x - 349*x**w + 7*x**2 + 89*x**3.
-5*x*(x + 1)*(x + 5)*(9*x - 2)
Let x(b) = -3*b**2 + 390*b - 619. Let z(j) = j**2 - 136*j + 207. Let v(m) = -6*x(m) - 17*z(m). Find r, given that v(r) = 0.
13, 15
Let s(l) be the third derivative of l**8/112 + l**7/70 - 29*l**6/40 + 79*l**5/20 - 10*l**4 + 14*l**3 - 1357*l**2. Solve s(o) = 0.
-7, 1, 2
Factor 2/11*x**2 + 112/11*x + 0.
2*x*(x + 56)/11
Let j be (-36234)/(-1830) + (-54)/3 + 1. Let t = -25/3 + 179/15. Factor 4/5*c - t*c**3 - j*c**2 + 0.
-2*c*(c + 1)*(9*c - 2)/5
Let c(m) be the second derivative of 5*m**4/12 - 4385*m**3/3 - 99*m - 12. Factor c(h).
5*h*(h - 1754)
Let l(o) = -o**3 + 14*o**2 - 17*o + 55. Let j be l(13). Let -115*q - 109*q - 2*q**2 + 228*q + 2*q**4 - 4*q**j = 0. Calculate q.
-1, 0, 1, 2
Find w such that 3*w**2 + 0 + 7/4*w**3 - 45/4*w - 1/2*w**4 = 0.
-5/2, 0, 3
Let f(q) = -q - 4. Let c(b) = -b + 148. Let l(v) = -c(v) - 6*f(v). Let m be l(18). Solve -15/2*d**3 + 15/4*d**4 + 15/2*d**m - 3/4*d**5 - 15/4*d + 3/4 = 0.
1
Solve 3/4*b**2 - 3/4*b - 9/2 = 0 for b.
-2, 3
Suppose -116/3*q + 11/3*q**3 - 32 - 8/3*q**2 - 1/3*q**4 = 0. Calculate q.
-2, -1, 6, 8
Suppose -10*y - 9*y + 190 = 0. Factor 9*w - 5*w**4 - 14*w**2 + 20*w**3 - w**2 - 19*w - y*w + 20.
-5*(w - 2)**2*(w - 1)*(w + 1)
Let q = -905 - -908. Factor 31*o**2 + 28 + 71*o**2 - 6*o**3 + 138*o - 4*o**q + 2*o**3.
-2*(o - 14)*(o + 1)*(4*o + 1)
Let y be 1 + -3 + 216/4. Let p = 54 - y. Factor 10*n - 43*n**p - n**4 - 2 - 1 + 6*n**3 + 31*n**2.
-(n - 3)*(n - 1)**3
Let w(s) = 6*s**2 + 48*s - 87. Let l(g) = -11*g**2 - 94*g + 177. Let k(n) = 3*l(n) + 5*w(n). Factor k(t).
-3*(t - 2)*(t + 16)
Solve -38*n**4 + 38*n**2 - 25 - 15 + 24*n**3 - 39*n**4 - 24*n + 79*n**4 = 0.
-10, -2, -1, 1
Let m = -2329039/27600 - -1941/23. Let p(d) be the third derivative of m*d**6 - 11*d**2 + 0 - 1/60*d**4 - 1/50*d**5 + 0*d**3 + 0*d. Let p(o) = 0. What is o?
-2/7, 0, 2
Let s(h) = -h. Let q(j) be the second derivative of -15*j - 5/3*j**4 - 3/10*j**5 + 0*j**2 - 4/3*j**3 + 0. Let p(w) = q(w) - 2*s(w). Factor p(y).
-2*y*(y + 3)*(3*y + 1)
Let m = 8060 - 8058. Let x(f) be the first derivative of -2*f - 2/3*f**3 + m - 2*f**2. Determine r, given that x(r) = 0.
-1
Suppose 3*j - 4*a - 35 = 0, 3*j + 20*a = 19*a + 10. Let b(d) be the second derivative of -1/60*d**j - 1/18*d**4 + 0*d**3 + 0 - 17*d + 0*d**2. Factor b(k).
-k**2*(k + 2)/3
Determine o, given that 152/11*o - 48/11 + 12*o**4 - 84/11*o**2 - 18/11*o**5 - 134/11*o**3 = 0.
-1, 2/3, 1, 6
Let w(l) = -16*l**2 - 28*l + 8. Let q(h) be the first derivative of -17*h**3/3 - 29*h**2/2 + 10*h + 33. Let y(n) = 2*q(n) - 3*w(n). Factor y(k).
2*(k + 2)*(7*k - 1)
Let r = -523163/5 - -104633. Suppose -8/5*i**2 + 12/5 + r*i + 2/5*i**3 = 0. Calculate i.
-1, 2, 3
Factor 463*b**2 - 918*b**2 - 28*b - 629 + 149 + 459*b**2.
4*(b - 15)*(b + 8)
Suppose -5*m - 4*p = -10*m + 10, -2*m - 5*p = -4. Solve -12*l + l + 9*l + 47*l - 10 - 35*l**m = 0.
2/7, 1
Let f = -1653/880 - -401/176. Factor f*i**2 - 6/5*i - 4.
2*(i - 5)*(i + 2)/5
Let v = -8101872/355 - -22822. Let h = 16/71 - v. Factor -98/5 - h*l**2 - 28/5*l.
-2*(l + 7)**2/5
Let o be (-248)/(-310)*10/(-84) + 9018/11340. Let v = 11 - 7. Let 1/5*p - 1/2*p**5 - o*p**2 + 7/10*p**v + 3/10*p**3 + 0 = 0. What is p?
-1, 0, 2/5, 1
Let z = 1611261/4 + -404889. Let m = 2075 + z. Factor -5/4 + m*j**2 - 1/4*j + 1/4*j**3.
(j - 1)*(j + 1)*(j + 5)/4
Let b be (669/(-2676))/(7/(-2)). Let m(z) be the first derivative of 2/35*z**5 - 8/21*z**3 + 11 + 4/7*z**2 - b*z**4 + 0*z. Let m(c) = 0. Calculate c.
-2, 0, 1, 2
Let f = 234 + -232. Find y, given that -y**3 + 85 - 3*y**f - 81 + 0*y**2 = 0.
-2, 1
Let v(t) be the second derivative of -t**4/48 + 7*t**3/8 - 5*t**2/2 - 1181*t. Solve v(l) = 0.
1, 20
Find b, given that 74*b - 86*b - 32667*b**2 + 32735*b**2 = 0.
0, 3/17
Suppose -133*h**4 - 210*h**2 - 325*h**3 + 36*h**4 - 9*h**5 + 4*h**5 - 23*h**4 = 0. What is h?
-21, -2, -1, 0
Let s(n) be the third derivative of -14*n**2 + 1/60*n**6 + 1/84*n**8 + 0*n**5 + 0*n + 0*n**4 + 3 + 0*n**3 - 1/35*n**7. Determine w so that s(w) = 0.
0, 1/2, 1
Let m(y) be the first derivative of -3/2*y**2 - 1/8*y**3 - 45/8*y + 37. Factor m(u).
-3*(u + 3)*(u + 5)/8
Let g(z) be the first derivative of -z**4/20 + 92*z**3/3 - 53357*z**2/10 + 104882*z/5 - 958. Factor g(t).
-(t - 229)**2*(t - 2)/5
Factor 8*m + 17*m**2 + 13/4*m**4 + 1/4*m**5 + 0 + 12*m**3.
m*(m + 1)*(m + 2)**2*(m + 8)/4
Let v be 3/((-1210)/88 + 15). Find x, given that 0 + 16/5*x**2 + v*x**3 + 0*x + 2/5*x**4 = 0.
-4, -2, 0
Let r(q) be the second derivative of -q**6/75 + q**5/5 - 7*q**4/30 - 6*q**3/5 - 151*q. Suppose r(n) = 0. Calculate n.
-1, 0, 2, 9
Let n(y) be the third derivative of y**6/720 - 7*y**5/360 + y**4/72 + 10*y**3/9 - 159*y**2 - 1. Factor n(k).
(k - 5)*(k - 4)*(k + 2)/6
Let f = 93 - 90. Factor -16*z - 6*z**f - 15*z**2 + 6*z**3 + z**3.
z*(z - 16)*(z + 1)
Let h(d) be the second derivative of -27/20*d**5 - d**4 + 6*d**3 + 3/5*d**6 + 0*d**2 - 4*d + 17 - 1/14*d**7. Let h(u) = 0. What is u?
-1, 0, 2, 3
Let i be ((-9)/(-6))/(273/(-250198)). Let y = 1375 + i. What is w in -y*w**2 + 8/7*w - 6/7 = 0?
1, 3
Determine q so that -q + 3/10*q**2 + 3/10 = 0.
1/3, 3
Let b(f) = -28*f**3 + 2932*f**2 - 22*f - 2952. Let i(q) = 8*q**3 - 978*q**2 + 7*q + 984. Let w(a) = 3*b(a) + 10*i(a). What is t in w(t) = 0?
-246, -1, 1
Let w = -1/52603 - -631243/368221. Determine v so that w*v - 2/7*v**2 + 0 = 0.
0, 6
Let q(b) be the first derivative of -3*b**5/5 - 21*b**4/4 - 4*b**3 + 18*b**2 - 4934. Solve q(h) = 0.
-6, -2, 0, 1
Let p(y) be the second derivative of -5*y**4/12 - 65*y**3/6 - 55*y**2 - y - 289. Factor p(h).
-5*(h + 2)*(h + 11)
Let a(n) = n**2 - 70*n - 24. Let q(d) = -15*d. Let b(f) = a(f) - 4*q(f). Factor b(w).
(w - 12)*(w + 2)
Let o be 42/8 + -5 + 23/4. Let t be 2*o/(-6) + 300/33. Factor 2/11*p**3 - t*p**2 - 4394/11 + 1014/11*p.
2*(p - 13)**3/11
Determine a so that -1/8*a**3 + 87/4*a + 0 + 55/8*a**2 = 0.
-3, 0, 58
Let u be -8 + 27/(15147/4004). Let a = u - -1198/561. Find m such that -16/11*m - 2/11*m**2 - a = 0.
-7, -1
Let i(r) be the first derivative of r**4/14 - 314*r**3/21 + 5920*r**2/7 + 38400*r/7 + 2607. Factor i(d).
2*(d - 80)**2*(d + 3)/7
Suppose 2*r - 9 = -3. Let p(v) = 11 + 31*v**3 + 7*v**3 + 6*v**4 - 12*v**r + v**2. Let o(q) = q**4 + 5*q**3 + 2. Let y(l) = 22*o(l) - 4*p(l). Factor y(d).
-2*d**2*(d - 2)*(d - 1)
Let c(m) be the third derivative of m**8/7 - 44*m**7/35 + 169*m**6/40 - 133*m**5/20 + 5*m**4 - 2*m**3 - 661*m**2. Find a, given that c(a) = 0.
1/4, 1, 2
Let h(p) be the first derivative of -5*p**4/4 - 950*p**3/3 - 22080*p**2 + 92160*p - 3766. Factor h(j).
-5*(j - 2)*(j + 96)**2
Let l(r) = -4*r**2 + 908*r + 6. Let k be l(227). Factor k*x**4 + 0*x**2 + 3/2*x**5 + 0 + 6*x**3 + 0*x.
3*x**3*(x + 2)**2/2
Let s(b) be the first derivative of -9*b**4/4 + 7*b**3 + 72*b**2 - 336*b - 2056. Factor s(a).
-3*(a - 4)*(a + 4)*(3*a - 7)
Let z(s) = 2*s**4 - s**3 + 9*s**2 + 3*s - 3. Let a(u) = 5*u**4 - 3*u**3 + 26*u**2 + 8*u - 8. Let m(y) = -3*a(y) + 8*z(y). Factor m(r).
r**2*(r - 2)*(r + 3)
Let w be (-128)/((-15)/(2 + 1)). Let y be (-4356)/(-2057) + (8/(-68) - 0) + 0. Let 32/5*s - 2/5*s**y - w = 0. Calculate s.
8
Suppose 2772 = -18*r - 0*r. Let t be (r/35 - -5)*(-15)/(-3). Solve 0 - 8/11*b**2 - 2/11*b**t + 10/11*b = 0.
-5, 0, 1
Let b(s) = -3*s**2 - 3*s + 6. Let o(f) = -3*f**2 - 2*f + 7. Let i(n) = -7*b(n) + 6*o(n). Factor i(p).
3*p*(p + 3)
Let w(a) be the first derivative of -a**4 - 124*a**3/3 - 60*a**2 + 1754. Suppose w(g) = 0. What is g?
-30, -1, 0
Determine f, given that -92*f + 112*f + 5*f**2 - 116 + 11 + 0*f**2 = 0.
-7, 3
Factor -3/2*t**2 + 1131/2*t + 567.
-3*(t - 378)*(t + 1)/2
Let p(w) = 41*w**2 + 206*w - 55. Let q(s) = -23*s**2 - 104*s + 28. Let v(a) = -6*p(a) - 10*q(a). Determine n so that v(n) = 0.
-25/2, 1/4
Let v(o) be the first derivative of o**6/280 + 3*o**5/70 + 3*o**4/56 - 5*o**3/7 - o**2 + 15*o - 186. Let j(t) be the second derivative of v(t). Factor j(q).
3*(q - 1)*(q + 2)*(q + 5)/7
Let u(t) be the third derivative of t**6/40 + 141*t**5/20 + 139*t**4/4 + 1337*t**2. Factor u(y).
3*y*(y + 2)*(y