is j in -6*j**3 + 9*j**3 - 6*j - 5*j + 6 + 15*j + 11*j + 12*j**2 = 0?
-2, -1
Let 80*f - 300 - 5692*f**2 - 5691*f**2 + 11378*f**2 = 0. Calculate f.
6, 10
Let y = 26242 - 1049677/40. Let q(o) be the second derivative of -3/8*o**4 + 0 - 20*o + 1/80*o**6 + 12*o**2 + 2*o**3 - y*o**5. Factor q(v).
3*(v - 4)**2*(v + 2)**2/8
Let z be ((-658)/1034)/(4/(-22)). Let u(v) be the third derivative of 0 + 0*v + v**2 + 98*v**3 - z*v**4 + 1/20*v**5. Solve u(p) = 0 for p.
14
Let i(f) be the third derivative of 7/12*f**4 + 0*f + 0 - 49/13*f**3 + 2/1365*f**7 + 27/130*f**5 - 9/260*f**6 - 19*f**2. Let i(o) = 0. Calculate o.
-3/2, 1, 7
Let r(x) be the second derivative of x**6/30 + x**5/4 - 19*x**4/3 + 56*x**3/3 + 96*x**2 + 1236*x. Factor r(j).
(j - 4)**2*(j + 1)*(j + 12)
Let s(x) be the second derivative of -x**3/6 + 13*x**2/2 - 8*x. Let v be s(4). Factor -8*d - v + 8*d**3 - 4*d**2 + 2*d**4 + 9 + 2*d**4.
4*d*(d - 1)*(d + 1)*(d + 2)
Let z(l) be the first derivative of 1/6*l**3 - 3*l**2 + 102 - 14*l. What is s in z(s) = 0?
-2, 14
Let p(g) = 11*g - 7. Let m be p(5). Suppose -m = 4*x - 48. Factor 0*s**3 - 2/3*s**2 + 2/3*s**4 + 0*s + x.
2*s**2*(s - 1)*(s + 1)/3
Suppose 3*u + 5 - 11 = 0. Suppose 1178*h**u + 1156*h**2 - 3*h**5 + 12*h - 6*h**4 - 2310*h**2 + 9*h**3 = 0. Calculate h.
-2, -1, 0, 2
Factor 277/2*h - 138 - 1/2*h**2.
-(h - 276)*(h - 1)/2
Let x(f) be the second derivative of f**7/28 + 3*f**6/20 - 51*f**5/40 + 9*f**4/8 + 4*f**3 - 9*f**2 - 8510*f. Solve x(d) = 0.
-6, -1, 1, 2
Let s(t) be the second derivative of t**7/14 - 27*t**5/20 - t**4 + 6*t**3 - 124*t + 5. Find h, given that s(h) = 0.
-2, 0, 1, 3
Let f(b) be the first derivative of 234 + 37/4*b**2 + 6*b + 1/3*b**3 - 3/8*b**4. Find a, given that f(a) = 0.
-3, -1/3, 4
Suppose 0 = 4*h - 4*b - 436, 3*h + 24*b - 324 = 28*b. Let j be (-2)/(-5) - h/(-70). Factor 0 - 2/7*s + 4/7*s**j.
2*s*(2*s - 1)/7
Suppose 0*l**2 + 746*l - 199*l + 0*l**2 - 3*l**2 + 407*l = 0. What is l?
0, 318
Suppose -5*s - 4 = -29. Let j be (7/s)/(-7) + 78/15. Factor f**2 - 7*f + j*f**4 + 42*f - 15*f**3 + 30 - 16*f**2.
5*(f - 3)*(f - 2)*(f + 1)**2
Let w = -38/1223 - -7832/15899. Factor w*n**2 - 2/13 + 0*n + 4/13*n**3.
2*(n + 1)**2*(2*n - 1)/13
Let a(s) = -s**2. Let w(c) = c**2 - 34*c + 36. Let z be 1*2 - (-7)/7. Let t(v) = z*a(v) + w(v). Find i, given that t(i) = 0.
-18, 1
Let v = 51150 + -459778/9. Solve 152*m - v*m**2 - 2/9*m**4 - 722/9 - 8*m**3 = 0 for m.
-19, 1
Suppose 2*m + 5*f = 1427, -2*m = 4*f - 2*f - 1442. Suppose 5*d - m = -716. Find x, given that -5/3*x**d + 0*x + 5/3 = 0.
-1, 1
Solve 7*w**2 - 99*w**3 + 24*w**4 - 77*w**3 - 6*w**2 + 5*w**2 + 34*w**4 = 0 for w.
0, 1/29, 3
Let w(j) be the first derivative of -29 + 8/5*j**3 - 2/5*j**2 - 24/5*j + 1/5*j**4. Find y, given that w(y) = 0.
-6, -1, 1
Suppose 0 = 2*d - 8, 0 = 51*m - 55*m - 5*d + 36. Suppose -3*j + 39 = -0*j. Factor -8*r + j*r + 10*r + r + 12 + m*r**2.
4*(r + 1)*(r + 3)
Let z(a) = -a**3 + 5*a**2 - 5*a + 3. Let k be z(3). Let r be (28/(-21))/4 - (-38)/k. What is j in 6*j - r*j**3 + 3/4*j**4 - 12 + 45/4*j**2 = 0?
-1, 1, 4
Let d = -601 - -601. Let f(u) be the third derivative of 0*u + 1/16*u**4 + 11*u**2 + 1/6*u**3 + 1/120*u**5 + d. Factor f(i).
(i + 1)*(i + 2)/2
Let a(q) = 2*q**3 + 4*q**2 - 3. Let f(s) = 20*s**3 + 88*s**2 - 120*s - 441. Let k(y) = -3*a(y) + f(y). Factor k(p).
2*(p + 2)*(p + 6)*(7*p - 18)
Factor 352/9 + 2/9*m**2 + 6*m.
2*(m + 11)*(m + 16)/9
Let x be 126/27 + -5 + 5/(-3). Let z(k) = -4*k**2 + k. Let f(b) = 11*b**2 + 58*b + 153. Let n(a) = x*z(a) - f(a). Solve n(h) = 0 for h.
-17, -3
Let y(v) = -111*v**2 - 1799*v - 1807. Let g(b) = -39*b**2 - 600*b - 603. Let k(w) = -17*g(w) + 6*y(w). Find h such that k(h) = 0.
-197, -1
Factor -2/15*m**5 + 278/15*m**3 + 136/15*m**4 + 28/3*m**2 + 0 + 0*m.
-2*m**2*(m - 70)*(m + 1)**2/15
Let l = -845 - -844. Let r be 11 + -15 - (-3 + -3 + l). Let 3/2*d**r + 24 + 27/2*d**2 + 36*d = 0. Calculate d.
-4, -1
Let f be (-576)/(-80) + (-1 - 6). Let l(u) be the first derivative of -u**2 + 0*u**4 - u**3 + 4 + f*u**5 + 0*u. Factor l(b).
b*(b - 2)*(b + 1)**2
Let r(l) = 55*l - 6543. Let d be r(119). Let o(j) be the first derivative of 28 - 2*j**d - 1/18*j**3 - 24*j. Factor o(b).
-(b + 12)**2/6
Let v(l) = l**3 - 11*l**2 + 350*l - 2604. Let h be v(8). Determine w so that -18/7*w**3 + 0 + 8/7*w - 4/7*w**h + 0*w**2 + 6/7*w**5 = 0.
-1, 0, 2/3, 2
Let h(r) be the second derivative of r**5/120 - 11*r**4/72 - r**3/36 + 11*r**2/12 + 3014*r. Suppose h(z) = 0. What is z?
-1, 1, 11
Let w = 1587/4 - 791/2. Let m(c) be the second derivative of 15/2*c**2 - w*c**4 + 0 - 11*c + 5/6*c**3 - 1/4*c**5. Factor m(x).
-5*(x - 1)*(x + 1)*(x + 3)
Let h = 419165 + -419163. What is u in -18/7 - 3/7*u**h + 3*u = 0?
1, 6
Suppose -7*t**3 - 4103823*t + 3*t**5 + 4103823*t - 3*t**4 + t**3 = 0. Calculate t.
-1, 0, 2
Let z(i) be the first derivative of i**3/12 - 11*i**2 + 123*i + 5884. Factor z(s).
(s - 82)*(s - 6)/4
Factor -55/6*d + 1/6*d**2 + 119.
(d - 34)*(d - 21)/6
Let a(l) = l**4 + 9*l**3 - 3*l**2 - 25*l - 22. Let x(z) = -z**3 + 2*z + z**2 - 5 + 5*z + 6 - 6*z. Let k(q) = 5*a(q) + 20*x(q). Find u, given that k(u) = 0.
-3, -1, 2
Let y(s) be the second derivative of -s**5/150 + s**4/5 - 4*s**3/3 + 20*s**2 + 2*s - 42. Let n(u) be the first derivative of y(u). Solve n(a) = 0.
2, 10
Let m be 2/(7 + 13/((-78)/36)). Solve -240*x + 4*x**3 - 4*x**m - 7*x**2 + 317 + 835 - 3*x**2 - 2*x**2 = 0 for x.
-8, 6
Let l(c) be the second derivative of -c**5/60 - 169*c**4/6 - 57122*c**3/3 - 19307236*c**2/3 - 350*c. Suppose l(i) = 0. What is i?
-338
Solve -5*k**3 - 115*k**2 - 313*k + 40*k**2 - 80*k**2 - 247*k - 540 = 0.
-27, -2
Solve -724*f + 1876*f - 3*f**3 + 1218*f**2 + 11124 + 6237*f = 0.
-3, 412
Let k(s) be the third derivative of 1/12*s**5 - 1/24*s**6 + 0 + s**2 + 7*s + 0*s**3 + 5/24*s**4 - 1/42*s**7. Factor k(y).
-5*y*(y - 1)*(y + 1)**2
Suppose 0 = 3*r - 9, -3*y + 8*y - 2*r = 569. Let -y*s**3 - 84*s**3 + 16*s**4 - 532*s**2 - 388*s - 72 + 11*s**3 + 12*s**4 = 0. What is s?
-1, -2/7, 9
Let l(n) = -41*n + 23*n + 82*n - 26 + 90. Let t be l(-1). Suppose 0 + t*a + 1/10*a**2 = 0. Calculate a.
0
What is b in 1/2*b**4 - 413/2*b**2 - 102*b**3 + 102*b + 206 = 0?
-2, -1, 1, 206
Let 2/7*t**4 - 12/7*t**3 - 2/7*t**2 + 0 + 60/7*t = 0. What is t?
-2, 0, 3, 5
Let t(d) be the second derivative of -1/6*d**4 + 4/13*d**2 - 4/39*d**3 - 1/26*d**5 + 2 + 64*d. Find k, given that t(k) = 0.
-2, -1, 2/5
Let a(d) = -d**3 - 12*d**2 - 3*d - 23. Let p be a(-14). Let y = 1235/3 - p. Determine j so that -1/3 - y*j**3 + 1/3*j**2 + 1/6*j**5 + 0*j**4 + 1/2*j = 0.
-2, -1, 1
Let u(o) be the second derivative of -5/12*o**4 + 45/2*o**2 - 1/4*o**5 - 49 - 2*o + 15/2*o**3. Suppose u(z) = 0. What is z?
-3, -1, 3
Let q be 35/7*3/45*12. Let l be 0/((3/q)/(1/8)). Factor -1/2*k**3 + 1/8*k**2 - 5/8*k**4 + l*k + 0.
-k**2*(k + 1)*(5*k - 1)/8
Let m be ((-1728)/(-135))/32*((-3 - 2) + (-24)/(-4)). Factor 4/5 - m*z**3 + 3/5*z**2 - 1/5*z**4 + 8/5*z.
-(z - 2)*(z + 1)**2*(z + 2)/5
Let s = -72/13093 - -1846473/65465. Determine z, given that -6/5*z**2 - 69/5 + s*z = 0.
1/2, 23
Suppose r + 16*r = -884. Let j be (r - -50) + (-13)/(-4). Find m, given that 0 - 1/4*m**5 + 0*m - m**4 - 1/2*m**2 - j*m**3 = 0.
-2, -1, 0
Let g(l) = l**2 - 3*l - 15. Let c be g(-3). Suppose -c*t = -q - 9306, 2*t - 6492 + 288 = q. Factor 5*h**5 - 8*h**4 + 3106*h**3 - t*h**3 - h**5.
4*h**3*(h - 1)**2
Let v(r) be the third derivative of -1/450*r**5 + 0 - 174*r**2 + 1/9*r**3 + 0*r - 1/45*r**4. Factor v(s).
-2*(s - 1)*(s + 5)/15
Let u be -32*(159/9 + (69 - 87)). Factor -u + 10*v + 2/3*v**2.
2*(v - 1)*(v + 16)/3
Determine l so that -215/4*l - 18 + 3/4*l**2 = 0.
-1/3, 72
Solve -13020*n - 12814*n - 430*n**2 + 24589*n - 5*n**3 = 0 for n.
-83, -3, 0
Suppose -10*s + 1365 = -385. Let n be (-2)/(-8) - (s/28 - 6). Factor 2/13*w**4 + n*w + 0 - 2/13*w**3 + 0*w**2.
2*w**3*(w - 1)/13
Let h = -367/6 - -89917/1470. Let k(q) be the third derivative of -h*q**7 + 0 + 21*q**2 - 1/84*q**4 - 1/70*q**5 - 1/140*q**6 + 0*q + 0*q**3. Factor k(d).
-2*d*(d + 1)**3/7
Let f(o) be the first derivative of 7/22*o**4 - 126 + 0*o + 20/33*o**3 + 3/11*o**2. Let f(l) = 0. Calculate l.
-1, -3/7, 0
Let c(g) be the first derivative of g**4/24 - 197*g**3/6 + 29205*g**2/4 - 87025*g/6 - 1706. Let c(x) = 0. What is x?
1, 295
Let f(w) be