- h - 37, -l*h - 16 = -2*n. Factor -20*j + 5*j**5 + 5 + 10*j**2 + 5*j + 0*j - 15*j**4 + n*j**3.
5*(j - 1)**4*(j + 1)
Let a(m) be the second derivative of -7/12*m**3 + 29*m + 0*m**2 + 1/24*m**4 - 1. Factor a(s).
s*(s - 7)/2
Let n = -810 - -2280. Let l = n - 1465. Factor 1/3*o**l + 3*o**4 + 0*o + 9*o**3 + 0 + 9*o**2.
o**2*(o + 3)**3/3
Let d(r) be the second derivative of r**6/15 + 4*r**5/5 - r**4/2 - 26*r**3/3 - 16*r**2 + 246*r + 14. Determine z, given that d(z) = 0.
-8, -1, 2
Let p(u) = -7*u**2 - 169*u - 21. Let j be p(-24). Let n = 2887/28 - 409/4. Find a such that -2/7*a**j - 2/7*a**2 - n + 10/7*a = 0.
-3, 1
Suppose -8*f + 982 = -402. Let n = f + -671/4. What is j in 9 + 12*j + n*j**2 + 3/4*j**3 = 0?
-3, -2
Suppose -2*n - 12 = z + n, 0 = 5*z - 3*n - 12. Let o be (-117)/(-663) - (-33)/102. Suppose 0*f + 1/2*f**4 - f**2 + o + z*f**3 = 0. Calculate f.
-1, 1
Let u(j) be the third derivative of -1/1050*j**7 + 1/60*j**5 + 1/40*j**4 - 1 + 0*j - 2/15*j**3 + 22*j**2 - 1/200*j**6. Factor u(c).
-(c - 1)**2*(c + 1)*(c + 4)/5
Suppose -113/2 + 115/4*j - 1/4*j**2 = 0. Calculate j.
2, 113
Find g, given that 130 - 2*g**4 + 0*g**2 + 120 - 142 - 54*g**3 + 3*g**4 + 160*g - 3*g**2 = 0.
-1, 2, 54
Let a(m) = -m**3 + 8*m**2 - 8*m + 10. Let c be (-136)/136*(-6 + 0 + -1). Let h be a(c). Factor 0*i - 1/4*i**2 + 1/4*i**h - 1/4*i**5 + 0 + 1/4*i**4.
-i**2*(i - 1)**2*(i + 1)/4
Let i(r) = -49*r - 7. Let b be i(0). Let u be (294/(-6))/b + -4. Determine q so that -60/7*q**2 - 4/7*q**u - 300/7*q - 500/7 = 0.
-5
Suppose 3 + 5 = -2*w, -p = 5*w + 12. Factor 18*j - 27 - 404*j**4 - p*j**3 + 24*j**2 + 407*j**4 - 10*j**3.
3*(j - 3)**2*(j - 1)*(j + 1)
Let i(n) = n**3 - 72*n**2 - 71*n - 143. Let k be i(73). Let h(j) be the first derivative of -3/4*j**2 - 1/2*j**3 + k*j - 5. Let h(v) = 0. What is v?
-2, 1
Suppose -5*f + 2*w = -27, -3*f - 30*w = -33*w - 18. Suppose -28*p - 209 + 321 = 0. Let 6/7*l**2 - 6/7 + 12/7*l**3 - 9/7*l - 3/7*l**f + 0*l**p = 0. Calculate l.
-1, 1, 2
Let j(a) = -a**2 + 16*a - 9. Let v be j(-14). Let r = v - -431. Solve 0 - 32/15*c**r - 8/5*c - 2/15*c**4 - 14/15*c**3 = 0.
-3, -2, 0
Let p(o) be the first derivative of 4*o**5/5 + 42*o**4 + 464*o**3 - 3956*o**2 + 6348*o - 425. Factor p(x).
4*(x - 3)*(x - 1)*(x + 23)**2
Let i(h) be the second derivative of 10 + 0*h**5 - 2/15*h**3 + 1/10*h**4 - 1/75*h**6 + 0*h**2 - 2*h. What is n in i(n) = 0?
-2, 0, 1
Let k be 93/(-30)*-822 - 1/5. Let g be 476/k - 6/(-14). Let -14/13*t**4 + 0 + g*t**2 + 0*t + 10/13*t**5 - 16/13*t**3 = 0. Calculate t.
-1, 0, 2/5, 2
Let k(m) be the third derivative of m**6/90 + 46*m**5/15 + 770*m**4/3 - 19600*m**3/9 + 5*m**2 + 2*m + 305. Factor k(g).
4*(g - 2)*(g + 70)**2/3
Let m = -380 - -383. Factor -7*l**3 + 53*l**2 + 11*l**m + 204*l + 100 + 55*l**2.
4*(l + 1)**2*(l + 25)
What is h in -205/6*h - 125/3 + 1/6*h**3 + 23/3*h**2 = 0?
-50, -1, 5
What is y in -55*y + 4*y**3 + 28*y - y**4 - 20*y**2 + 52*y**3 - 2*y**3 + 22*y**2 - 27*y**5 - 1 = 0?
-1, -1/27, 1
Let k(w) be the second derivative of -w**9/60480 + w**8/4480 - w**7/1120 + 67*w**4/12 - 115*w. Let j(l) be the third derivative of k(l). Factor j(s).
-s**2*(s - 3)**2/4
Suppose -5 = -v - f, 0 = 4*v - 1287*f + 1289*f - 18. Let c(r) be the second derivative of 1/72*r**v + 0 + 8*r + 1/18*r**3 + 1/12*r**2. Factor c(q).
(q + 1)**2/6
Let y(t) be the second derivative of -2*t**6/5 - 15*t**5/2 - 57*t**4/16 + 225*t**3/4 - 81*t**2 - 13273*t. Determine h, given that y(h) = 0.
-12, -2, 3/4
Let j be 10*(748/1320 - 2/5). Suppose 5*f + 11 = 3*q, 3*q - 4*f - 5 = -5*f. Let j*n**q + 320/3 + 80/3*n = 0. Calculate n.
-8
Let r be ((-10)/(-4) - 1)*(-120)/(-36). Let i be -5*r/((-100)/12). Factor 0*u**4 + 4*u**4 - i*u**4.
u**4
Let v(w) be the third derivative of -w**8/336 + 2*w**7/105 - w**6/60 - w**5/15 + w**4/8 + w**2 + 2451. Solve v(x) = 0.
-1, 0, 1, 3
Let w(q) be the first derivative of -2*q**3/11 + 393*q**2/11 - 780*q/11 - 4659. Let w(y) = 0. What is y?
1, 130
Let y be (4/(-1 + 0))/(16/(-136)). Let 7*o**4 - 10*o**4 - 3*o**3 - y + 34 + 12*o**2 + 12*o = 0. Calculate o.
-2, -1, 0, 2
Let z = -7/18426 + 82931/36852. Factor -9/2 - 1/4*p**2 + z*p.
-(p - 6)*(p - 3)/4
Let j(q) be the first derivative of 82 - 1/10*q**4 - 8/5*q**3 - 48/5*q**2 - 128/5*q. Solve j(f) = 0 for f.
-4
Let t = 310 - 310. Let r = t - -5. Let 8/13*n**2 + 0 + 46/13*n**4 - 10/13*n**r + 16/13*n - 60/13*n**3 = 0. What is n?
-2/5, 0, 1, 2
Let z(c) be the third derivative of -86*c**2 - 1/120*c**4 + 0*c - 1/600*c**5 + 0 + 2/15*c**3. Determine j, given that z(j) = 0.
-4, 2
Let i(y) = -y**3 + 2*y**2 - y - 1. Let d be -15 + 6 + 8 + 2. Let k(s) = -6*s**3 + 4*s**2 + 16*s - 9. Let n(a) = d*k(a) - 3*i(a). Solve n(h) = 0.
-3, 1/3, 2
Let j be 7/(1785/(-3026)) + 12. Let i(o) be the second derivative of 28/45*o**6 + 3/7*o**2 + j*o**5 - 83/126*o**4 - 2*o - 2/21*o**3 + 0. Factor i(z).
2*(2*z + 1)**2*(7*z - 3)**2/21
Let l(f) be the first derivative of 2535*f**6/2 - 3783*f**5/5 - 1745*f**4/2 - 108*f**3 - 4*f**2 - 1399. Determine i so that l(i) = 0.
-2/5, -2/39, 0, 1
Let d = -472 - -561. Factor 1 - 6*i**2 - 13 - 2*i**2 + 69*i - d*i.
-4*(i + 1)*(2*i + 3)
Let q(x) be the third derivative of 3 + 0*x**3 - 5/72*x**4 - 1/1080*x**6 - 2/135*x**5 + 0*x - 28*x**2. Factor q(b).
-b*(b + 3)*(b + 5)/9
Let m = 177 - 175. Factor 320 + m*v**5 + 725*v**2 - 65*v**4 - 295*v - v**5 + 2*v**5 + 95*v**3 + 2*v**5 + 1175*v.
5*(v - 8)**2*(v + 1)**3
Let q(k) be the second derivative of k**6/225 + 17*k**5/150 - 133*k**4/90 + 127*k**3/45 + 92*k**2/5 - 5311*k. Determine w, given that q(w) = 0.
-23, -1, 3, 4
Let j = 998 - 2992/3. Let h(t) be the second derivative of 17*t + 0 - 1/5*t**5 - 1/3*t**4 + 2*t**2 + j*t**3. What is l in h(l) = 0?
-1, 1
Let x = -469451/3 - -156489. Find g, given that 4/3*g**3 - 1 + x*g - 17/3*g**2 = 0.
1/4, 1, 3
Let o(v) = 5*v**2 + 21*v + 22. Let a be o(-1). Let b be 138/24 - (-10)/((-12)/a). Solve 12 + b*g**2 + 6*g = 0 for g.
-4
Let w(x) be the first derivative of 3*x**4/20 + 22*x**3/15 - 47*x**2/10 - 18*x/5 - 1116. Determine q, given that w(q) = 0.
-9, -1/3, 2
Let u be (-7)/(-28) + (3/42 - (-7205)/1540). Let -1/2*q**u - 1 - 2*q**3 + 2*q**4 + 5/2*q - q**2 = 0. What is q?
-1, 1, 2
Let o = 44 - 128. Let d be ((-24)/o)/((-2)/(-14)). Factor -20*x - x**3 + 8 + 5*x**2 + 8*x + x**d.
-(x - 2)**3
Let k(n) be the first derivative of -2/21*n**3 - 2/7*n**2 + 1/14*n**4 - 47 + 0*n. Suppose k(f) = 0. Calculate f.
-1, 0, 2
Let x(j) be the third derivative of -213*j**5/80 - j**4/16 + 5*j**2 - 402*j. Solve x(k) = 0.
-2/213, 0
Let y = -4/653 - -10063/43751. Let a = 1041/737 + y. Factor -a*q**2 + 12/11*q - 2/11.
-2*(3*q - 1)**2/11
Let y = -32 + 40. Suppose 5*n = h + y, 3*n - 48 = -5*h + 6*n. Suppose b**2 + 9 - b**3 - 13 - 8 - 4*b + h*b = 0. Calculate b.
-3, 2
Let d(m) = m**4 - 45*m**3 - 64*m**2 + 365*m + 900. Let x(f) = -f**4 + f**3 - f. Let o(g) = d(g) + 5*x(g). Factor o(w).
-4*(w - 3)*(w + 3)*(w + 5)**2
Determine u, given that -388*u**2 - 1916*u**2 - 16*u**3 + 908 - 1534*u**2 - 2720*u + 194*u**2 = 0.
-227, -1, 1/4
Let u = 99 - 96. Solve u*q**3 + 17*q**2 + 15*q**2 + 11*q**2 - 49*q**2 = 0.
0, 2
Factor o**2 - 21 + 41*o + 28*o - 23*o + 226.
(o + 5)*(o + 41)
Let u = 7 + -5. Suppose -13*a + 3*a = -20. Factor 10 + u*i**a + 2*i**3 + 15 - 25.
2*i**2*(i + 1)
Let f(l) be the second derivative of -2*l**6/15 - 6*l**5/5 + 7*l**4/3 + 32*l**3 + 72*l**2 - 647*l. Solve f(i) = 0 for i.
-6, -2, -1, 3
Let j = -391 - -394. Let d be (j/(-5))/(-3)*5/5. Suppose -d*i**5 - 1/5*i + 2/5*i**3 - 4/5*i**2 + 2/5 + 2/5*i**4 = 0. What is i?
-1, 1, 2
Let a(c) be the third derivative of -c**7/42 + 109*c**6/12 - 217*c**5/12 - 1652*c**2 + 3. Determine t, given that a(t) = 0.
0, 1, 217
Let x(r) be the second derivative of -r**7/63 - 13*r**6/45 - 31*r**5/15 - 64*r**4/9 - 32*r**3/3 - 7493*r. Solve x(n) = 0 for n.
-4, -3, -2, 0
Let l(u) = -7*u - 47. Let b be l(-14). Let s = -23 + b. Factor 22 - 13 + s*z + 0*z**2 + 4*z**2 + 15.
4*(z + 1)*(z + 6)
Let d(j) be the third derivative of 5/24*j**5 + 0 + 1/168*j**7 + 3*j**2 + 35/96*j**4 - 1/1344*j**8 + 3/8*j**3 + 1/16*j**6 + 0*j. Let d(g) = 0. Calculate g.
-1, 9
Let 1185/4*c - 3/4*c**4 + 225 + 3/4*c**3 + 291/4*c**2 = 0. Calculate c.
-5, -1, 12
Let o(z) = 105*z**4 + 1030*z**3 - 1035*z**2 - 6615*z - 3780. Let i(u) = -5*u**4 - 49*u**3 + 49*u**2 + 315*u + 180. 