915*j**2 - 62*j**3 = 0?
-1/3, 21
Let x = 2473/126 - 137/7. Let m(q) be the first derivative of 4/9*q**3 - 64/9*q + 0*q**2 + x*q**4 + 12. Solve m(z) = 0 for z.
-4, 2
Let u be 56/120*(-1360)/(-476). Determine l, given that 0*l - 1/6*l**4 - 3/2*l**3 + 0 - u*l**2 = 0.
-8, -1, 0
Factor 214*y**3 - 602*y**3 + 431*y**2 - 704*y - 24*y**2 + 111*y**2 + 20*y**4 + 1394*y**2.
4*y*(y - 11)*(y - 8)*(5*y - 2)
Let p(c) be the third derivative of c**8/420 - 8*c**7/105 + c**6/6 + 4*c**3 + 179*c**2. Let x(u) be the first derivative of p(u). Factor x(a).
4*a**2*(a - 15)*(a - 1)
Suppose 68 = 30*q + 4*q. Suppose -m + 3*m + 3*v + 9 = 0, -m = q*v + 6. Factor -8/7*b + 2/7*b**3 + m + 2/7*b**4 - 8/7*b**2.
2*b*(b - 2)*(b + 1)*(b + 2)/7
Let j = 1950/31 - 11545/186. Let y(a) be the third derivative of 5/36*a**4 + 0*a - j*a**3 + 0 - 8*a**2 + 1/36*a**5. Factor y(v).
5*(v - 1)*(v + 3)/3
Let p(q) = -q - 2. Let v(m) = 14*m - 50*m - 10 - 4*m**3 - 20*m**2 + 16*m. Let r(x) = 12*p(x) - 4*v(x). Factor r(w).
4*(w + 4)*(2*w + 1)**2
Suppose 0 = l - 0*l + w - 591, 5*w = -4*l + 2367. Let k = l + -3527/6. Factor 1/3 + 1/6*u - k*u**2.
-(u - 2)*(u + 1)/6
Factor -495*w**2 - 312 - 500*w**2 - 100*w - 570*w**2 + 1633*w**2.
4*(w - 3)*(17*w + 26)
What is z in 20/7*z**4 + 54/7*z**3 + 0*z - 2/7*z**5 + 0 - 72/7*z**2 = 0?
-3, 0, 1, 12
Determine f, given that -1170/11*f - 1728/11 - 2/11*f**3 - 204/11*f**2 = 0.
-96, -3
Let c = 3845 - 3839. Let d(l) be the second derivative of 5/4*l**4 + 0 - 10*l + c*l**2 + 6*l**3. Factor d(a).
3*(a + 2)*(5*a + 2)
Let o(m) be the third derivative of 0 + 22/15*m**3 + 0*m + 1/75*m**5 - 2/5*m**4 - 63*m**2. Factor o(l).
4*(l - 11)*(l - 1)/5
Suppose 321*f = 640*f - 328*f + 45. Determine q, given that 14/3*q**4 + 130/3*q + 2/3*q**f - 4/3*q**3 - 92/3*q**2 - 50/3 = 0.
-5, 1
Determine x so that -135/2 - 1/2*x**2 + 12*x = 0.
9, 15
Let u(f) = -164*f**2 + 380*f + 1872. Let t(c) = -31*c**2 + 76*c + 374. Let y(p) = -16*t(p) + 3*u(p). Factor y(m).
4*(m - 23)*(m + 4)
Let h(g) be the third derivative of 0 + 1/105*g**5 - g + 5/21*g**4 - 77*g**2 + 50/21*g**3. Find x, given that h(x) = 0.
-5
Let s = 13712693/8636980 - -117/14276. Let q = s + 1/242. Let 12/5*m + q + 4/5*m**2 = 0. What is m?
-2, -1
Let z = -509 - -531. Suppose 38 = z*o - 6. Let 1 - 1/2*g**o + 1/2*g = 0. What is g?
-1, 2
Let j(l) be the third derivative of -27*l**7/140 - 39*l**6/80 + 61*l**5/60 + 17*l**4/12 + 2*l**3/3 - 306*l**2. Determine d so that j(d) = 0.
-2, -2/9, 1
Suppose -102*u - 509/5 - 1/5*u**2 = 0. What is u?
-509, -1
Let c(s) be the first derivative of 47 + 1/21*s**3 - 3/7*s**2 + 0*s. Find x such that c(x) = 0.
0, 6
Suppose -37 = -3*i - 4*x, 2*x + 8 = 4*x. Factor -2 + 7 + 8*d**2 - 5 - i*d**2.
d**2
Suppose 3*i - 10*i = -14. Factor -7*k**i - 48 - 84*k + 39*k**3 - 30*k**3 - 5*k**2.
3*(k - 4)*(k + 2)*(3*k + 2)
Suppose -2*q = 5*j - 69, 5*q = 258*j - 255*j + 33. Suppose 18*u**2 + 240*u - q*u**3 + 3/4*u**4 + 300 = 0. What is u?
-2, 10
Factor 11*i**2 + 10*i + 131*i + 5*i**3 + 48*i + 8350 - 8440 + 77*i**2.
(i + 3)*(i + 15)*(5*i - 2)
Factor -158*m - 1582*m**2 + 240 + 1578*m**2 + 202*m.
-4*(m - 15)*(m + 4)
Let f be (-1)/((-1)/2*1). Suppose 0 = -f*m - 0*m - 10, -40 = -g + 3*m. Factor -g*y**5 + 11*y**5 + 13*y**5.
-y**5
Let l = 6698 - 6698. Factor 8/3*q + 8/3*q**2 + l + 2/3*q**3.
2*q*(q + 2)**2/3
Let v(j) be the third derivative of j**7/504 - j**6/36 - j**4/12 + j**3/6 + 45*j**2. Let q(z) be the second derivative of v(z). Suppose q(r) = 0. Calculate r.
0, 4
Let f(n) = -146*n + 3509. Let r be f(24). Let s(c) be the first derivative of 0*c + 6/5*c**r + 2/3*c**3 + 5/2*c**4 - c**2 + 4. Factor s(w).
2*w*(w + 1)**2*(3*w - 1)
Suppose -173 = 5*r - 303. Determine h so that -28*h**2 + 75*h + r*h**2 - 18*h**3 + 18 - 3*h**3 + 38*h**2 = 0.
-1, -2/7, 3
Suppose 2452*f - 5077 = 326 + 1953. Let -7/4*o**f - 1/4*o**4 + 5/2*o**2 + 4*o + 0 = 0. Calculate o.
-8, -1, 0, 2
Let 17*a + 5/3*a**3 - 31/3*a**2 - 3 = 0. Calculate a.
1/5, 3
Let u(o) be the third derivative of -o**7/42 + 11*o**6/12 - 7*o**5/4 - 1214*o**2. Let u(y) = 0. Calculate y.
0, 1, 21
Let g(k) be the second derivative of 23/24*k**4 + 11/6*k**3 + k**2 + 3*k - 8 - 7/16*k**5. Suppose g(q) = 0. Calculate q.
-2/5, -2/7, 2
Let w(b) be the second derivative of 29/8*b**3 - 8*b - 1/96*b**4 - 7569/16*b**2 + 3. Factor w(y).
-(y - 87)**2/8
Let f(l) be the first derivative of -2*l**3/9 - 54*l**2 - 3040*l/3 - 11854. Factor f(b).
-2*(b + 10)*(b + 152)/3
Factor 221/2*i**2 + 1/2*i**4 + 14*i**3 + 0 + 169*i.
i*(i + 2)*(i + 13)**2/2
Let n be 24/88 - ((-196)/(-154) + -9). What is u in 0*u**3 - n*u**2 - 32/3*u + 2/3*u**4 + 0 = 0?
-2, 0, 4
Let w(y) = 41*y - 531. Let r be w(13). Let d(j) be the first derivative of 1/30*j**5 + 11 + 13/24*j**4 + 10/3*j**3 + 28/3*j**r + 32/3*j. Solve d(i) = 0.
-4, -1
Suppose -943*y - 1761 = -1530*y. Factor -3/7*f**4 + 48/7*f**y + 42*f - 33*f**2 + 0.
-3*f*(f - 7)**2*(f - 2)/7
Let b(o) be the second derivative of -3 + 21*o + 1/3*o**4 - 8*o**2 - 2*o**3. Factor b(k).
4*(k - 4)*(k + 1)
Let u(n) = n**3 + 11*n**2 + 18*n + 5. Let t be u(-9). Suppose t*q = -0*q + 15. Solve m**3 + 2*m + q*m**4 + 6*m**3 + 6*m**2 - m**3 - m**4 = 0 for m.
-1, 0
Let n(f) be the third derivative of 0 + 47*f**2 + 23/60*f**4 + 0*f - 8/5*f**3 + 1/150*f**5. Solve n(m) = 0 for m.
-24, 1
Let r(z) = 17*z**3 + 25*z**2 + 192*z + 156. Let x(f) = -13*f**3 - 26*f**2 - 191*f - 157. Let l(d) = -3*r(d) - 4*x(d). Solve l(q) = 0 for q.
-20, -8, -1
Suppose 0*j + 7 = 4*j + g, 0 = 4*j - 4*g - 32. Factor 20*z**j - 97*z + 12*z - 216 + 4*z**4 - 95*z - 10*z**2 - 2*z**2.
4*(z - 3)*(z + 2)*(z + 3)**2
Let s(j) be the third derivative of 0*j**3 - 80*j**2 + 0 - 1/180*j**5 + 23/72*j**4 + 0*j. Factor s(k).
-k*(k - 23)/3
Let v be (-2)/(-12)*(-11 + 19) + 1/(-2). Let w(o) be the first derivative of 5*o**3 + 0*o - 5*o**2 - 3*o**5 + v*o**6 + 5/4*o**4 + 34. Factor w(q).
5*q*(q - 2)*(q - 1)**2*(q + 1)
Suppose -12 = -3*y - 3*l, -5 + 15 = y - 2*l. Suppose 0 = -4*h + 3*w, -16 = 2*h - 4*w - y. Factor -3 - 3*r + 11*r**2 + 0*r**3 + h*r**3 + 8*r.
(r + 1)*(r + 3)*(3*r - 1)
Let y(g) be the third derivative of g**5/120 - 41*g**4/6 - 2423*g**2 - 2*g - 2. Find d, given that y(d) = 0.
0, 328
Let w(a) = -6*a**2 - 37*a. Let p(o) = -o**3 - 20*o**2 + 25*o + 78. Let j be p(-21). Let k be w(j). Find b, given that -3/2*b**2 - 15/2*b - k = 0.
-4, -1
Solve -885124 + 8*z**2 + 564276 + 9224*z + 794070 + 1134882 + 1050714 = 0 for z.
-1153/2
Suppose 1478*t = 1483*t - 25. Factor 7*c**2 - 2 + 4 - 3*c**2 - t*c - c**3.
-(c - 2)*(c - 1)**2
Let b = 634 - 631. Factor -42*h**2 - h**4 - 48*h**3 - 8*h**3 + 40*h + 72*h**b - 13.
-(h - 13)*(h - 1)**3
Let c(o) be the third derivative of o**9/120960 - o**8/40320 - o**7/5040 + 239*o**5/60 + 111*o**2. Let q(s) be the third derivative of c(s). Factor q(n).
n*(n - 2)*(n + 1)/2
Let n(j) be the second derivative of -j**5/30 + 17*j**4/3 - 197*j**3/9 - 100*j**2 - 4119*j. Factor n(l).
-2*(l - 100)*(l - 3)*(l + 1)/3
Let w(p) be the first derivative of p**5/4 + 5*p**4/12 - 10*p**3/3 - 10*p**2 + 59*p - 64. Let m(q) be the first derivative of w(q). Factor m(n).
5*(n - 2)*(n + 1)*(n + 2)
Let m = 69 + -70. Let x be 4/m - (-9 + -2). What is b in -x*b + 3*b**2 - 14*b**3 + 4*b + 20*b**3 - 6*b**2 = 0?
-1/2, 0, 1
Suppose 0 = -3334*c + 3333*c + 9. Let x be 81/(-36)*(-12)/c. Factor 0*u**2 + 9/2*u**x + 0 + 3/2*u**4 - 6*u.
3*u*(u - 1)*(u + 2)**2/2
Let v(b) = b**3 - 24*b**2 - 46*b - 17. Let p be v(26). Factor -274*h**2 + p*h**2 - 10*h + 140*h**2.
5*h*(h - 2)
Let m be ((12/150)/(16/20))/((-9)/(-12)). Let z(d) be the first derivative of 338/5*d + 1 - 26/5*d**2 + m*d**3. Factor z(b).
2*(b - 13)**2/5
Suppose 3*d - 40 = 3*h + 2, -d + 16 = h. Suppose 5*x - d = 0, 3 - 24 = -3*y - 5*x. Factor 18*g**y - 10*g + 8*g - 3*g**3 + 2*g.
-3*g**2*(g - 6)
Let h(k) be the second derivative of -4/45*k**3 - 2/15*k**4 + 0*k**2 - 70*k + 7/150*k**5 + 0. Determine g so that h(g) = 0.
-2/7, 0, 2
Let k(y) be the first derivative of 4*y**3/3 + 52*y**2 + 192*y + 1295. Find p, given that k(p) = 0.
-24, -2
Let x(y) = y**2 + 7*y + 114. Let p be x(-9). Let z = p + -654/5. Factor -4/5*q**2 + 0 - 2/5*q**3 + z*q.
-2*q*(q - 1)*(q + 3)/5
Let z(l) be the second derivative of 10 - 1/112*l**7 + 3/8*l**4 - 1/4*l**3 + 3/40*l**6 - 39/160*l**5 - 6*l + 0*l**2. Suppose z(t) = 0. Calculate t.
0, 1, 2
Let i be