Let n be ((-10 + 1)/27*0)/2. Let f(h) be the third derivative of -1/42*h**7 + 0*h**4 + 1/12*h**5 + 10*h**2 + n + 0*h**3 + 0*h**6 + 0*h. Solve f(w) = 0 for w.
-1, 0, 1
Let b(a) be the first derivative of 2*a**3/3 + 366*a**2 + 66978*a + 552. Factor b(v).
2*(v + 183)**2
Let k(s) be the second derivative of -2*s**4/15 - 11*s**3/15 - s - 140. Factor k(o).
-2*o*(4*o + 11)/5
Suppose 21*o - 16*o = -25. Let l be 48/240 + 1/o. Solve l - 1/6*v**2 + 0*v = 0 for v.
0
Let z(f) be the second derivative of 0*f**2 + 0 - 2*f**3 + 3/5*f**5 - 101*f + 1/3*f**4 - 2/15*f**6. Factor z(x).
-4*x*(x - 3)*(x - 1)*(x + 1)
Let n(x) = x**3 + 7*x**2 + 9*x - 1. Let g be n(-4). Factor -35*i**3 + 2*i - 22*i**2 - g*i**2 + 32*i**3 + i + 33.
-3*(i - 1)*(i + 1)*(i + 11)
Let z(i) be the third derivative of i**7/420 + i**6/240 - 13*i**5/30 - 10*i**4/3 + 3*i**2 - 1382*i. Factor z(f).
f*(f - 8)*(f + 4)*(f + 5)/2
Let b = -393 - -399. Suppose 2*m - 5*p - 2 = 2, 0 = -3*m - 2*p + b. Factor -m*l**3 + 0*l + 0 + 2/3*l**4 + 4/3*l**2.
2*l**2*(l - 2)*(l - 1)/3
Let m be 2*9/21 - (-41)/((-34440)/636). Let d(b) be the second derivative of 6/5*b**2 + 2 - 1/75*b**6 - 32*b - 1/6*b**4 + 1/3*b**3 - m*b**5. Solve d(c) = 0.
-3, -2, -1, 1
Let f(q) = -7*q**2 - 589*q - 85843. Let d(i) = 54*i**2 + 4711*i + 686746. Let k(g) = 6*d(g) + 46*f(g). Factor k(t).
2*(t + 293)**2
Let u(z) be the second derivative of z**9/7560 + z**8/1400 - z**6/225 + 50*z**3/3 + 106*z - 2. Let j(l) be the second derivative of u(l). Factor j(w).
2*w**2*(w - 1)*(w + 2)**2/5
Let o(f) be the third derivative of -f**6/240 - 13*f**5/30 - 49*f**4/16 - 65*f**2 - f - 2. Let o(b) = 0. Calculate b.
-49, -3, 0
Let u = 148116 + -444346/3. Factor -8/3*b - 2 - u*b**2.
-2*(b + 1)*(b + 3)/3
Determine z so that 18*z**2 + 10*z + 4*z**4 - 6*z**4 - 4*z**2 + 40*z**3 + 1 - 13 - 50*z**3 = 0.
-6, -1, 1
Suppose 4*z - 3*z = 2*w - 211, -4*w + 421 = -3*z. Factor -24*l**3 - 52*l + 4*l**4 + 36*l**2 - 70*l + w*l.
4*l*(l - 4)*(l - 1)**2
Let v(o) be the second derivative of -2*o**6/45 + 127*o**5/30 - 273*o**4/16 + 1039*o**3/72 - 61*o**2/12 - 385*o. Suppose v(r) = 0. What is r?
1/4, 2, 61
Factor 22 + 2/3*m - 2/3*m**3 - 22*m**2.
-2*(m - 1)*(m + 1)*(m + 33)/3
Let b(z) = -z**3 - 8*z**2 - 7*z + 3. Let m be b(-7). Suppose 0 = -4*f - 2*s + 16, s = m*f - f. Factor 4*r**2 - r**3 - r**3 - 6*r**4 + f*r + 2*r**4.
-2*r*(r - 1)*(r + 1)*(2*r + 1)
Let j(u) be the third derivative of 7*u**5/120 + 577*u**4/16 + 247*u**3/6 - 72*u**2 - 8*u. Find k, given that j(k) = 0.
-247, -2/7
Let v(j) be the third derivative of 1/12*j**5 + 0*j - 35/24*j**4 + 0 - 25*j**3 + 171*j**2. Determine r so that v(r) = 0.
-3, 10
Let n(i) be the second derivative of -2*i**7/21 + 18*i**6/5 - 237*i**5/5 + 845*i**4/3 - 700*i**3 + 2019*i. Solve n(o) = 0 for o.
0, 3, 5, 14
Factor 775/4*q + 125/2 + 77/4*q**3 + 405/4*q**2 + 5/4*q**4.
(q + 5)**3*(5*q + 2)/4
Suppose 0 = -4*q + 3*o + 32, o = q - 5 - 4. Suppose q*w - 39 = 51. Factor 2 - 21*g + 6*g - 5*g**2 + w.
-5*(g - 1)*(g + 4)
Let y = 82 - 87. Let u be (147/(-63))/(y/6). Let 32/5 + 2/5*k**3 - u*k**2 + 16/5*k = 0. Calculate k.
-1, 4
What is z in 2/5*z**4 - 54/5*z**2 - 68/5*z + 8/5*z**3 + 112/5 = 0?
-7, -2, 1, 4
Solve -37*o**3 + 0*o + 0*o**2 + 0 - 1/6*o**5 + 77/6*o**4 = 0 for o.
0, 3, 74
Let 50*t**4 + 135*t**4 - 70*t + 170*t**3 + 20*t**2 + 15*t**5 - 90*t**4 - 50*t = 0. What is t?
-3, -2, 0, 2/3
Factor 0 + 1/5*b**4 - 6/5*b**3 + 0*b + 0*b**2.
b**3*(b - 6)/5
Let n(p) be the first derivative of -p**6/21 + 292*p**5/35 - 4220*p**4/7 + 482528*p**3/21 - 3407888*p**2/7 + 38046272*p/7 - 8138. Solve n(l) = 0.
22, 34
Suppose 0 = -316*b + 324*b + 72. Let t be (b/12)/((-9)/24). Find d, given that 39/5*d**t + 18*d**3 - 9*d + 6/5 = 0.
-1, 1/6, 2/5
Let g(j) = -2*j**3 - j - 1. Let c(k) = 2118*k - 24 - 78*k**2 - 3*k**3 - 1980*k + 3. Let z(f) = -c(f) - 9*g(f). Factor z(o).
3*(o - 1)*(o + 5)*(7*o - 2)
Let r be (21/6 - 5)*-2. Factor b**4 + 1995*b**3 - 2003*b**r - 5*b**4 - 4*b**2.
-4*b**2*(b + 1)**2
Let x = 998 + -1012. Let h(n) = 2*n**3 + 22*n**2 - 84*n + 2. Let v be h(x). Determine f, given that 0 - v*f**2 - 5/2*f**4 - 2*f + 13/2*f**3 = 0.
-2/5, 0, 1, 2
Let i(h) be the first derivative of 4*h**5/5 - 164*h**3/3 - 144*h**2 + 448*h - 4054. Solve i(g) = 0 for g.
-4, 1, 7
Let z be 9/(72/(-7))*132/(-693). Factor 1/3*c + 1/6*c**2 + z.
(c + 1)**2/6
Suppose 2*a + 2*c = -0*a + 262, -3*a - c + 383 = 0. Let v be -7 + (-9)/(a/(-119)). Factor -v - 9/4*p**2 - 15/4*p + 3/4*p**3 + 3/4*p**4.
3*(p - 2)*(p + 1)**3/4
Let x(w) = w**4 - 2*w**3 + 2*w**2 + 1. Let h(p) = 5*p**4 - 200*p**3 + 205*p**2 + 10. Let v(f) = h(f) - 10*x(f). What is t in v(t) = 0?
-37, 0, 1
Factor -287*g - 1/2*g**2 - 82369/2.
-(g + 287)**2/2
Let j(d) be the second derivative of -3*d**4/10 - 4*d**3/3 - 4*d**2/5 + 1684*d. Factor j(a).
-2*(a + 2)*(9*a + 2)/5
Let o be (-303)/180 + 14/8. Let v(c) be the third derivative of -9*c**2 + 0*c**4 + 0 - 7/60*c**6 + 0*c**3 - o*c**5 + 0*c. Suppose v(j) = 0. What is j?
-2/7, 0
Let v(k) be the third derivative of -k**8/336 + 2*k**7/105 + 47*k**6/120 + 59*k**5/30 + 29*k**4/6 + 20*k**3/3 + 47*k**2 - 12*k + 1. Solve v(o) = 0.
-2, -1, 10
Let z(v) = 34*v**2 - 769*v - 792. Let h(x) = 6*x**2 - 154*x - 158. Let a(c) = 11*h(c) - 2*z(c). What is y in a(y) = 0?
-77, -1
Let l(w) be the first derivative of -w**6/720 - 3*w**5/40 + 19*w**4/48 - 11*w**3 + 24. Let m(p) be the third derivative of l(p). Factor m(j).
-(j - 1)*(j + 19)/2
Solve 20*m - 2/5*m**2 - 282/5 = 0.
3, 47
Let k(b) = -b**2 - 100*b - 91. Suppose 180*r - 12 = 184*r. Let w(p) = 2*p**2 + 100*p + 92. Let z(h) = r*k(h) - 4*w(h). Factor z(t).
-5*(t + 1)*(t + 19)
Let b = -286 - -288. Suppose 0*w - w = b*l + 2, -10 = 5*l. Suppose 0*u**3 + 4/5 + 4/5*u**4 - 8/5*u**w + 0*u = 0. Calculate u.
-1, 1
Let o(s) be the first derivative of s**3/21 - 304*s**2/7 + 92416*s/7 - 1856. Factor o(c).
(c - 304)**2/7
Let k = -23391 - -23395. Let 0*x + 0 - 2/13*x**k - 72/13*x**2 - 24/13*x**3 = 0. What is x?
-6, 0
Let g be (39/5)/((-6)/(-20)). Let j = g + -26. Factor 84*s + j*s - 3 - 100*s**3 + 16*s**3 - 123*s**2 - 9.
-3*(s + 2)*(4*s - 1)*(7*s - 2)
Let n be 620/279 + ((-70)/63)/5. Factor 14/3*j**n - 2/3*j**3 + 0 - 8*j.
-2*j*(j - 4)*(j - 3)/3
Let g = 913025 + -913022. Determine y so that 0*y + 2/3*y**g + 2/3*y**2 + 0 = 0.
-1, 0
Let b(a) = 38 - 30*a + 37 - 13. Let d be b(2). Find n, given that 1/2*n - 1/4 + 3/4*n**d = 0.
-1, 1/3
Let i(x) be the first derivative of x**5/90 + x**4/4 + 8*x**3/9 - 71*x**2/2 + 50. Let u(c) be the second derivative of i(c). Factor u(j).
2*(j + 1)*(j + 8)/3
Let s be -15*8/240*(-10)/(-15)*-9. Find z, given that 12/7 - 12/7*z**4 - 9/7*z**2 - 48/7*z + 39/7*z**s = 0.
-1, 1/4, 2
Factor -55*c + 59*c + c**4 + 390*c**2 - 520 - 135*c**3 + 2*c**3.
(c - 130)*(c - 2)**2*(c + 1)
Solve -32/3 - 6*t**3 - 2/3*t**4 - 56/3*t**2 - 24*t = 0 for t.
-4, -2, -1
Let t = 22510 - 22505. Let a(i) be the second derivative of -8/3*i**4 + 0 + 8/3*i**3 + 36*i + i**t - 2/15*i**6 + 0*i**2. Let a(r) = 0. Calculate r.
0, 1, 2
Let n(b) be the first derivative of -b**7/210 + b**6/30 + b**5/30 - b**4/2 - 65*b**3/3 + 126. Let d(t) be the third derivative of n(t). Solve d(j) = 0 for j.
-1, 1, 3
Suppose 85*m - 394 + 193 = 18*m. Find q such that 0*q**2 + 2/9*q**m - 12 - 6*q = 0.
-3, 6
Let f(j) be the first derivative of -11/2*j + 1/8*j**4 + 23/4*j**2 + 6 - 13/6*j**3. Factor f(l).
(l - 11)*(l - 1)**2/2
Suppose 194*g = 217*g. Suppose 3*j = d + 49, g*j + 44 = 3*j + 4*d. Factor 16/3*t + j*t**2 + 4/9.
4*(6*t + 1)**2/9
Let f(y) be the second derivative of 7*y**4/78 - 380*y**3/39 + 108*y**2/13 + 6*y - 52. Factor f(u).
2*(u - 54)*(7*u - 2)/13
Let q(n) be the third derivative of -n**6/120 + n**3/3 + 193*n**2. Let d(z) = 186*z**2 + 76*z - 20. Let v(f) = 2*d(f) + 20*q(f). Solve v(p) = 0.
-2/5, 0, 19
Let z(v) be the third derivative of -1/120*v**5 + 0*v + 4/3*v**3 + 168*v**2 + 0 - 1/8*v**4. Determine i, given that z(i) = 0.
-8, 2
Let b(x) = -19*x**3 - 231*x**2 - 461*x - 207. Let g(k) = -20*k**3 - 230*k**2 - 460*k - 205. Let o(c) = 15*b(c) - 14*g(c). Factor o(m).
-5*(m + 1)**2*(m + 47)
Suppose -4*b + j + 28 = -49, 4*j + 20 = 0. Suppose b*d = -d. Factor -1/4*t**2 + d + 1/4*t.
-t*(t - 1)/4
Let x(q) be the first derivative of -q**8/11760 - 13*q**7/5880 + q**6/180 - 44*q**3/3 - 143. Let v(i) be the third derivative of x(i