olve -3/2*m**4 - 125 - 47/2*m**y - 255/2*m**2 - 525/2*m = 0.
-5, -2/3
What is v in 235445 - 1108*v + 343*v**2 - 1062*v - 338*v**2 = 0?
217
Let s(j) be the third derivative of j**8/84 + 18*j**7/35 + 5*j**6/6 - 9*j**5/5 - 13*j**4/3 - 1546*j**2. Suppose s(b) = 0. Calculate b.
-26, -1, 0, 1
Let p(c) be the first derivative of -c**5/24 - 7*c**4/48 - c**3/6 + c**2 + 29*c + 10. Let o(b) be the second derivative of p(b). Factor o(v).
-(v + 1)*(5*v + 2)/2
Let k = -6054 + 6056. Factor -7/6*t**3 + 0 - 3*t**k + 1/2*t**4 - 4/3*t.
t*(t - 4)*(t + 1)*(3*t + 2)/6
Let m = 164 + -161. Factor 10 - l**2 - 10*l**3 - 9*l**2 - 5*l + 15*l**m + 0*l.
5*(l - 2)*(l - 1)*(l + 1)
Let m be 22 - (-64)/(-3) - 13 - -13. Factor -4/9*s**4 + 8/9*s + 8/9*s**2 + 0 + 2/9*s**5 - m*s**3.
2*s*(s - 2)**2*(s + 1)**2/9
Determine z so that -941*z**3 + 245*z**4 - 1440*z - 222*z**3 - 157*z**3 - 10*z**3 + 2400*z**2 = 0.
0, 12/7, 2
Solve -177/5*a**2 + 3/5*a**3 + 72 - 186/5*a = 0 for a.
-2, 1, 60
Let j(w) = w**3 + 16*w**2 - 50*w - 33. Let x be j(-20). Let i = -633 - x. Factor 0*a + 0*a**2 + 1/2*a**4 + i + 1/2*a**3.
a**3*(a + 1)/2
Let p(a) be the first derivative of 2*a**3/39 + 118*a**2/13 - 2184. Find k, given that p(k) = 0.
-118, 0
Let t(c) be the second derivative of 1 - 3/20*c**5 + 0*c**2 - 1/45*c**6 + 2/9*c**3 + 9*c - 1/12*c**4. Determine u, given that t(u) = 0.
-4, -1, 0, 1/2
Let b = 6 + -1. Let x be 6/(-27) - (-732)/378. Let 6/7*j + 0 + 0*j**4 + 6/7*j**b - x*j**3 + 0*j**2 = 0. Calculate j.
-1, 0, 1
Let a = 231/634 - -478001/48818. Let d = a + -107/11. Find h, given that 0 - 3/7*h + d*h**2 = 0.
0, 1
Let i(g) be the second derivative of 92*g - 4/39*g**3 - 1/78*g**4 + 0 + 0*g**2. Suppose i(l) = 0. What is l?
-4, 0
Let y(z) be the first derivative of 1/8*z**4 + 29 - 4*z - z**3 - 15/4*z**2. Solve y(v) = 0.
-1, 8
Let f(r) = -73 + 55 + 0*r**2 + r**2 + 50*r - 12*r**2. Let c(g) = -10*g**2 + 50*g - 16. Let k(n) = -3*c(n) + 2*f(n). Factor k(q).
2*(q - 6)*(4*q - 1)
Let h(w) = -w**4 + 13*w**3 + 84*w**2 + 60*w - 168. Let b(t) = -2*t**4 + 26*t**3 + 169*t**2 + 121*t - 334. Let x(n) = 3*b(n) - 5*h(n). Let x(l) = 0. What is l?
-3, 1, 18
Suppose -733 + 701 = -8*a. Suppose -5 = -4*z - s, z = -a*s + 11 + 9. Factor 4/5*i**3 - 1/5*i + z + 3/5*i**2.
i*(i + 1)*(4*i - 1)/5
Let h be 214/(-6)*((-36)/8 + 4). Let u = h - 523/30. Factor 12/5*t**2 + 8/5*t + 8/5*t**3 + u + 2/5*t**4.
2*(t + 1)**4/5
Let s be (-4 + 4)/(1*6 + (-508 - -503)). Find r, given that 8/17*r**2 + 0*r + s - 2/17*r**3 = 0.
0, 4
Suppose 5*o - 126 = -3*l, 112 = -4*l - 96*o + 101*o. Let d = 161/2 - 79. Factor -1/2*f**l + d*f + 0.
-f*(f - 3)/2
Factor -166*r + 5*r**3 + 3080 + 33383*r**2 - 2764*r - 16669*r**2 - 16869*r**2.
5*(r - 44)*(r - 1)*(r + 14)
Let h(l) be the first derivative of -223 - 2/3*l**3 + 2*l + 0*l**2. Factor h(w).
-2*(w - 1)*(w + 1)
Suppose -r - 2*r - 4*f = -2, 3*f + 2 = -4*r. Let j be r + ((-8)/14)/(6/(-42)). Find c, given that -45 - 21*c**2 - 30*c + 41*c**j - 25*c**2 = 0.
-3
Let k(q) be the first derivative of -q**8/168 + 3*q**7/35 - q**6/4 - 5*q**5/6 - 7*q**2/2 + 8*q - 195. Let y(z) be the second derivative of k(z). Factor y(x).
-2*x**2*(x - 5)**2*(x + 1)
Let p = 5539 + -5539. Let d(u) be the first derivative of 0*u + u**3 + p*u**2 + 1/2*u**6 - 3/5*u**5 - 3/4*u**4 + 11. Factor d(z).
3*z**2*(z - 1)**2*(z + 1)
Let g(l) be the second derivative of -98/3*l**4 - 7/5*l**5 + 0*l**2 + 3*l - 1/60*l**6 + 0*l**3 + 4. Factor g(f).
-f**2*(f + 28)**2/2
Let c(y) = 72 + y**3 - 73 + 2*y**3 - 6*y**3 - y. Let d(x) = -3*x**4 - 15*x**3 + 24*x**2 - 3*x - 3. Let z(n) = 3*c(n) - d(n). Factor z(s).
3*s**2*(s - 2)*(s + 4)
Suppose -4*u - 24 = 1631*d - 1634*d, 0 = u + 2*d - 16. Factor 30/7*c + 3*c**2 + u + 3/7*c**3.
3*c*(c + 2)*(c + 5)/7
Let p(k) be the third derivative of -2*k**7/245 + 7*k**6/30 + 148*k**5/105 + 38*k**4/21 - 58*k**2. Let p(o) = 0. What is o?
-2, -2/3, 0, 19
Let z = -24927/8 - -24931/8. Factor z*h - 5/6*h**2 + 1/6*h**3 + 3/2.
(h - 3)**2*(h + 1)/6
Let q(a) be the third derivative of 0 - 1/6*a**4 + 0*a + 0*a**3 + 93*a**2 - 1/90*a**5. Factor q(t).
-2*t*(t + 6)/3
Let a(r) be the second derivative of r**4/102 - 22*r**3/17 + 128*r**2/17 + 3080*r. Let a(z) = 0. Calculate z.
2, 64
Let c = 2352 - 2350. Suppose -1/7*o**c + 4/7*o + 3 = 0. Calculate o.
-3, 7
Let s(q) be the third derivative of 0*q + 1/330*q**5 + 0 + 1/3*q**3 - 83*q**2 - 1/11*q**4. Solve s(z) = 0.
1, 11
Let r(w) be the second derivative of w**7/84 - 3*w**6/20 - 7*w**5/8 - 5*w**4/8 + 17*w**3/6 + 6*w**2 + 5700*w. Suppose r(f) = 0. Calculate f.
-2, -1, 1, 12
Let o = -1/109783 - -219571/548915. Factor -24/5*x + 0 - o*x**2.
-2*x*(x + 12)/5
Suppose -w + 71 = 5*v, 5*w - 490 = -0*w + 2*v. Find c such that -7*c - 2*c**2 - 6*c**2 - w + 0*c**2 + 6*c**2 - 25*c = 0.
-12, -4
Factor -140*r**2 - 105*r**2 + 4 + 251*r**2 + 1147*r**2 + 1407*r**2 - 2564*r.
4*(r - 1)*(640*r - 1)
Let p(v) = 15*v**4 + 55*v**3 + 27*v**2 - 27*v - 8. Let q(k) = 15*k**4 + 57*k**3 + 26*k**2 - 27*k - 6. Let n(s) = 5*p(s) - 6*q(s). What is j in n(j) = 0?
-4, -1, 1/5, 1/3
Suppose 0 = -2*m + 6*y - 5*y + 8, 4*m - 5*y = 4. Suppose 0*d = -m*d. Find g such that -2/11*g**3 + 0*g + d - 4/11*g**2 = 0.
-2, 0
Let t be (6 - (-165)/(-22))*(-4)/3. Suppose 23*q + t = 24*q. Factor 18/5*d - 3*d**q - 3/5.
-3*(d - 1)*(5*d - 1)/5
What is d in 19*d**3 + 4*d**4 + 48*d + 5101*d**2 - 67*d**3 - 5105*d**2 = 0?
-1, 0, 1, 12
Let v(i) be the second derivative of 3*i**5/40 + 47*i**4/8 - 12*i**3 + 149*i - 1. Find l, given that v(l) = 0.
-48, 0, 1
Let a be (-6)/((-98)/34 + 3). Let f = 62 + a. Factor -5*u**3 + 11*u**3 + 3*u**5 - f*u**4 + 6*u**3 - 4*u**2.
u**2*(u - 2)*(u - 1)*(3*u - 2)
Let j(d) be the second derivative of 1/30*d**4 + 3/5*d**3 + 7*d + 8 + 14/5*d**2. Determine q, given that j(q) = 0.
-7, -2
Suppose 5*v - 6394 = 3*z, 10*z = 2*v + 5*z - 2550. Let k = 1285 - v. Let -14/9*q**k + 0*q - 8*q**3 + 0 + 20/3*q**4 + 16/9*q**2 = 0. What is q?
0, 2/7, 2
Let m(b) = -b**2 + 5*b - 2. Let t be m(4). What is u in 0 - 2*u**2 + 2*u**2 + 20*u - 16 - 4*u**t = 0?
1, 4
Let f(h) be the second derivative of -h**4/3 - 48*h**3 - 414*h**2 + 587*h + 2. Factor f(x).
-4*(x + 3)*(x + 69)
Let y(i) = 4*i**2 + 182*i - 171. Let o(n) = 10*n**2 + 544*n - 514. Let p(l) = -3*o(l) + 8*y(l). Factor p(t).
2*(t - 87)*(t - 1)
Let j = 361 + -359. Suppose -j*d = -3*l - 15 - 2, -2*l - 6 = 0. Factor 0 - 8/5*f**2 - 4/5*f - f**3 - 1/5*f**d.
-f*(f + 1)*(f + 2)**2/5
Let i(t) be the second derivative of t**5/5 + t**4 - 35*t - 10. Factor i(h).
4*h**2*(h + 3)
Let b(f) be the first derivative of 20 - 16*f + 1/10*f**5 - f**2 + 1/6*f**4 - 1/3*f**3. Let j(q) be the first derivative of b(q). What is k in j(k) = 0?
-1, 1
Let l(y) be the third derivative of 0*y + 23/24*y**4 + 13/60*y**5 + 4/3*y**3 - 1/60*y**6 - 60*y**2 + 0. Factor l(j).
-(j - 8)*(j + 1)*(2*j + 1)
Let -571787/2 - 1/8*m**4 - 21663/8*m**2 - 253/8*m**3 - 654455/8*m = 0. What is m?
-83, -4
Let t = -273973/2 + 137000. Solve -15/2*q**2 + t + 3/2*q**3 + 9/2*q = 0.
-1, 3
Suppose -2*l - 8 = -4*k, -3*k - k + 8 = -3*l. Suppose 45*o**4 + 123*o + 144 + 525*o - 127*o**3 + 548*o**k + 5*o**4 - 147*o**3 - 136*o**3 = 0. What is o?
-2/5, 3, 6
Suppose 2*r = -2*m + 24, 31*r - 36 = 29*r - 5*m. Factor -55*n**2 - r - 63*n - 77*n**2 - 36*n**4 + 123*n + 116*n**3.
-4*(n - 1)**3*(9*n - 2)
Let m(g) = 131*g - 231. Let w be m(3). Let q be (1482/w - 9)*(0 - -30). Factor -8/9 + 0*c**2 + q*c**4 - 4/3*c**5 + 20/9*c - 40/9*c**3.
-4*(c - 1)**4*(3*c + 2)/9
Let l(v) be the third derivative of 64*v**7/315 - 4*v**6/5 + 11*v**5/30 - v**4/18 - 3559*v**2. Factor l(s).
2*s*(s - 2)*(8*s - 1)**2/3
Factor 1943/2*i - 1/4*i**2 - 3775249/4.
-(i - 1943)**2/4
Let p(s) be the first derivative of -7*s**6/51 + 404*s**5/17 - 17777*s**4/17 - 127016*s**3/51 - 16279*s**2/17 + 21316*s/17 - 10096. Suppose p(t) = 0. What is t?
-1, 2/7, 73
Let c(z) be the first derivative of -12*z**2 + 90 - 1/3*z**3 + 25*z. Determine y so that c(y) = 0.
-25, 1
Let w(s) be the second derivative of -1/2*s**5 + 1/42*s**7 - 142*s + 0 + 0*s**3 + 4/3*s**4 - 7/30*s**6 + 0*s**2. Let w(i) = 0. What is i?
-2, 0, 1, 8
Suppose -16*y = -15*y - 2. Let w(d) = 13*d**2 - 4*d. Let h(u) = 4 - 9 + 5 - u + u**2. Let z(n) = y*h(n) - w(n). Factor z(a).
-a*(11*a - 2)
Suppose 4*o = -i, -2*i + 5 = 4*o + 1. Suppose 0*l - 13 = l + i*h, 2*h = 2*l - 14. Find f, 