y**3 - 1/840*y**6 - 11/210*y**5 + 0*y + 36*y**2 + 0 + 47/168*y**4. Factor b(s).
-(s - 1)**2*(s + 24)/7
Let d(v) be the second derivative of 27*v**6/20 - 9*v**5/10 - 77*v**4/24 + 3*v**3 - v**2 + 731*v. What is q in d(q) = 0?
-1, 2/9, 1
Let h = 651 + -630. Suppose -64 = -h*u + 5*u. What is w in -2/3*w**2 + 2/3*w**3 + 0 + 2/9*w - 2/9*w**u = 0?
0, 1
Suppose -5*c = 4*x + 1756 + 765, -4*c = -5*x + 2025. Let g be 2/(-10) + 3 + c/(-25). Suppose 12*v - 5*v + 0*v + g*v + 5*v**2 = 0. What is v?
-6, 0
Let u(h) = -6*h**3 - 2*h**2 + 1. Let y be u(1). Let n be (14/y)/((-4)/10). Factor 12*q**3 - 4*q**2 + 3*q - 11 - 3*q**4 + 23 - n*q**2 - 15*q.
-3*(q - 2)**2*(q - 1)*(q + 1)
Let i(t) be the second derivative of t**6/90 + 124*t**5/3 + 192200*t**4/3 + 476656000*t**3/9 + 73881680000*t**2/3 + 1489*t. Solve i(z) = 0.
-620
Let l(j) be the second derivative of -j**10/70560 - j**9/35280 - 43*j**4/12 + j**3/3 + 45*j - 2. Let i(h) be the third derivative of l(h). Factor i(p).
-3*p**4*(p + 1)/7
Let g(t) be the second derivative of 4*t**7/63 - 149*t**6/15 + 2216*t**5/5 - 22516*t**4/9 + 3840*t**3 + 3888*t**2 + 723*t. What is i in g(i) = 0?
-1/4, 2, 54
Let r(t) be the third derivative of t**7/5040 + t**6/180 + 7*t**5/240 + 10*t**4/3 - 114*t**2. Let f(g) be the second derivative of r(g). Factor f(j).
(j + 1)*(j + 7)/2
Suppose -171*u + 2*m - 22 = -173*u, u = 2*m - 10. Factor -72/5*s**2 - 24/5*s - 78/5*s**3 - 6/5*s**5 - 36/5*s**u + 0.
-6*s*(s + 1)**2*(s + 2)**2/5
Let n(p) be the first derivative of 5*p**6/6 + 7*p**5 - 15*p**4/4 - 115*p**3/3 - 35*p**2 - 2348. Factor n(k).
5*k*(k - 2)*(k + 1)**2*(k + 7)
Let u be ((-10)/(-4))/(-8 + ((-575)/69 - -18)). Factor u*x + 1/2*x**2 + 0.
x*(x + 3)/2
Let p(n) = n**3 + 19*n**2 - 21*n - 14. Let q be p(-20). Factor -4*b + 24*b**4 - q*b**2 - 4*b**4 - 18*b**4.
2*b*(b - 2)*(b + 1)**2
Suppose -15*z + 18 + 33 = 21. What is q in 5/3 - 1/3*q**3 + 23/6*q**z - 31/6*q = 0?
1/2, 1, 10
Let -1/4*l**3 - 5/2*l**2 + 1/4*l + 5/2 = 0. Calculate l.
-10, -1, 1
Let z(b) be the second derivative of -b**4/6 + 23*b**3 - 198*b**2 + 9*b. Determine r, given that z(r) = 0.
3, 66
Let r(z) be the first derivative of -z**3/9 + 13*z**2 + 79*z/3 - 395. Determine l so that r(l) = 0.
-1, 79
Let y(m) = -127*m + 1536. Let q be y(12). Let j(n) be the second derivative of -1/2*n**2 + 1/2*n**3 + 0 - q*n + 1/20*n**5 - 1/4*n**4. What is c in j(c) = 0?
1
Let r(a) be the first derivative of a**6/24 - 7*a**5/5 + 153*a**4/16 - 21*a**3/2 + 8043. Suppose r(l) = 0. Calculate l.
0, 1, 6, 21
Let b(j) = 19*j**3 - 98*j + 99. Let t be b(1). Let y(v) be the second derivative of -t*v + 0 + 1/42*v**4 + 0*v**3 - 1/7*v**2. Determine o, given that y(o) = 0.
-1, 1
Let z be ((-124)/434)/(32/(-49)). Let m(s) be the first derivative of -3/20*s**5 + 1/2*s + 2 + z*s**4 - 3/8*s**2 - 1/4*s**3. Factor m(f).
-(f - 1)**3*(3*f + 2)/4
Let v(b) = -b**3 + 2*b**2 + 3*b. Let r(j) = -j**3 - j**2. Let x be (-3)/12 - (-290)/40. Suppose x*s + 20 = 6. Let f(i) = s*r(i) - v(i). Factor f(p).
3*p*(p - 1)*(p + 1)
Let l(n) = n**3 + n + 2. Suppose 9*s - 33 + 87 = 0. Let c(a) = -3*a**3 + a**2 - 3*a - 5. Let k(r) = s*c(r) - 15*l(r). Let k(i) = 0. Calculate i.
0, 1
Let c(j) be the third derivative of 5*j**8/336 + 3*j**7/14 - 49*j**6/24 - 457*j**5/12 + 10*j**4 + 1120*j**3/3 - 5*j**2 - 111*j. Suppose c(o) = 0. Calculate o.
-8, -1, 1, 7
Let u(l) be the first derivative of -1/9*l**2 + 4/9*l**3 - 2/15*l**5 - 30 + 1/9*l**4 - 1/27*l**6 - 2/3*l. Determine y so that u(y) = 0.
-3, -1, 1
Suppose 2*z - 3*t = -209, -10*z = -6*z - 5*t + 415. Let x be 8/80 + 10/z. Find v such that x*v**2 + 2/15*v**3 - 2/5*v + 4/15 = 0.
-2, 1
Let f(i) = 12*i**3 + 24*i**2 - 186*i - 30. Let m(j) = -3*j**3 - 6*j**2 + 45*j + 8. Let z(h) = 5*f(h) + 21*m(h). Factor z(t).
-3*(t - 2)*(t + 1)*(t + 3)
Suppose 10*d = -8*d - 5*d. Suppose -p = 3*u - 6*u + 13, d = 5*p + 2*u - 20. Factor -2/5*c**p + 0 - 4/5*c.
-2*c*(c + 2)/5
Let t(u) be the third derivative of -3/4*u**3 - 1/120*u**5 + 0 - u - 5/24*u**4 + 63*u**2. Find w, given that t(w) = 0.
-9, -1
Suppose -25*a + 14*a = -22. Factor -8*w + a*w**2 + 3*w**2 - 7*w + 178 - 198.
5*(w - 4)*(w + 1)
Let c(s) be the second derivative of -s**4/15 - 26*s**3 + 392*s**2/5 + 142*s + 3. Factor c(i).
-4*(i - 1)*(i + 196)/5
Let a(t) = -t**3 - 8*t**2 - 5*t + 44. Let u(c) = -c**3 - 5*c**2 + 2*c + 4. Let m be u(-5). Let o be a(m). Factor 2/13*v**o + 0*v - 8/13.
2*(v - 2)*(v + 2)/13
Let c(i) be the second derivative of 0 + 1/3*i**4 - 1/40*i**5 + 3/2*i**2 + 30*i - 13/12*i**3. Solve c(t) = 0 for t.
1, 6
Let f(r) be the second derivative of -5*r**3/6 - 237*r**2/2 - 3*r - 103. Let o be f(-48). Factor -2*l**o - 26/3*l + 14/3 - 46/3*l**2.
-2*(l + 1)*(l + 7)*(3*l - 1)/3
Let 52*w - 2/9*w**3 + 230/9*w**2 + 0 = 0. Calculate w.
-2, 0, 117
Let -49 + 87 - 22*j**2 - 20 - 22 + 26*j = 0. Calculate j.
2/11, 1
Suppose x = 3*h + 139, 3*h + 96 + 46 = 4*x. Let a = h + 48. Factor 2*z**2 - 4*z**2 - 3*z**a + 5*z + 10*z.
-5*z*(z - 3)
Suppose 36/13*v**4 + 904/13*v**2 - 2/13*v**5 + 20 + 380/13*v**3 + 822/13*v = 0. Calculate v.
-5, -1, 26
Let d(z) be the second derivative of z**7/14 - z**6 - 18*z**5/5 - z**4/2 + 23*z**3/2 + 18*z**2 + 2807*z. Let d(l) = 0. Calculate l.
-1, 1, 12
Factor -126*x + 3/2*x**2 + 246.
3*(x - 82)*(x - 2)/2
Let h(w) be the first derivative of -3*w**4/4 + 1109*w**3 + 3*w**2/2 - 3327*w + 423. Solve h(u) = 0.
-1, 1, 1109
Let z(r) be the third derivative of 4*r - 1/630*r**7 - 1352/9*r**3 - 971/60*r**5 + 0 - 689/9*r**4 - 53/180*r**6 + 24*r**2. Factor z(t).
-(t + 1)**2*(t + 52)**2/3
Let o(h) be the first derivative of 2/11*h**3 + 14/55*h**5 - 79 - 2/11*h**2 + 6/11*h**4 + 0*h. What is g in o(g) = 0?
-1, 0, 2/7
Let r = -53 + 50. Let y(o) = -5*o**3 + o**2 - 3*o + 3. Let l(i) = 5*i**3 - i**2 + 2*i - 2. Let b(w) = r*l(w) - 2*y(w). Factor b(d).
-d**2*(5*d - 1)
Let c(l) be the first derivative of l**6/90 + 7*l**5/180 - l**4/36 + 17*l**2/2 + l - 62. Let i(a) be the second derivative of c(a). Factor i(y).
y*(y + 2)*(4*y - 1)/3
Let j(t) be the second derivative of -t**4/18 + 5944*t**3/9 - 8832784*t**2/3 + 27*t - 177. Solve j(o) = 0.
2972
Let d(w) be the first derivative of w**3/3 + 7*w**2 - 11*w - 10. Let o be d(-15). Find j such that 7*j**3 + 8*j**o + 7*j**2 - j**4 - 11*j**4 + j**4 - 3*j = 0.
-1, 0, 1/3, 3
Let k be (559/(-344))/((-1)/16). Let v(y) be the first derivative of -2/3*y**3 + 16*y - k + 2*y**2. Let v(i) = 0. Calculate i.
-2, 4
Suppose 4144*o - 366*o**4 + 2208 + 440*o**4 - 162*o**4 + 180*o**3 - 4*o**5 + 2200*o**2 = 0. What is o?
-23, -2, -1, 6
Solve -1/9*i**2 - 70/9*i + 0 = 0 for i.
-70, 0
Let m = 319102 - 319099. Determine v so that 1/3*v**2 - 1/9*v**m + 5/9 + v = 0.
-1, 5
Suppose -1 + 0 = -p + 4*q, 5*q = p + 1. Let k(y) be the second derivative of -1/8*y**4 - p*y + 0*y**2 + 1/60*y**6 - 1/6*y**3 + 0*y**5 + 0. Factor k(c).
c*(c - 2)*(c + 1)**2/2
Let g be (1/1 + 1)*(-4701 + 4702). Determine s, given that 19773/2 + 1/6*s**3 + 39/2*s**g + 1521/2*s = 0.
-39
Let w(x) be the third derivative of -x**5/12 - 875*x**4/2 - 918750*x**3 - 12*x**2 + 10*x - 2. Find g, given that w(g) = 0.
-1050
Factor -90 - 31 - 35 - 3687*f - 3616*f - 2*f**2 + 7361*f.
-2*(f - 26)*(f - 3)
Let l(g) be the second derivative of -3*g**6/10 - 2073*g**5/20 - 478861*g**4/48 - 79465*g**3/12 - 13225*g**2/8 + 3*g - 343. Factor l(x).
-(x + 115)**2*(6*x + 1)**2/4
Let c(w) = -10*w**3 + 78*w - 3*w**4 + 84*w**3 + 7*w - 131*w**2. Let z(n) = 4*n**4 - 112*n**3 + 196*n**2 - 128*n. Let x(d) = -8*c(d) - 5*z(d). Factor x(p).
4*p*(p - 5)*(p - 2)*(p - 1)
Let s be 1*(-23)/((-1518)/36). Let q = -58/187 + s. Solve 4/17*i**3 - q*i + 0 + 2/17*i**2 - 2/17*i**4 = 0.
-1, 0, 1, 2
Let t = 743/1141 + -13/163. Factor -4/7*l**3 - 12/7*l**2 - 12/7*l - t.
-4*(l + 1)**3/7
Let j(w) = -5*w**3 + 5*w**2 + 111*w - 189. Let l(t) = 11*t**3 - 14*t**2 - 228*t + 378. Let b(c) = -5*j(c) - 2*l(c). Factor b(f).
3*(f - 3)**2*(f + 7)
Let j(r) = -12*r**3 - 7*r**2 + 75*r - 20. Let g(q) = 12*q**3 + 6*q**2 - 75*q + 21. Let v be 0 + 0 - 88/44. Let i(u) = v*g(u) - 3*j(u). Factor i(z).
3*(z - 2)*(z + 3)*(4*z - 1)
Let j be 117/(-183) + 34/51. Let a = 22/61 - j. Let 0 - 1/3*n - 2/3*n**2 - a*n**3 = 0. What is n?
-1, 0
Let n(x) be the first derivative of -3*x**5/5 + 108*x**4 - 5463*x**3 + 30030*x**2 - 44100*x - 4490. Factor n(k).
-3*(k - 70)**2*(k - 3)*(