r n(j).
-4*(j - 2)*(j + 1)**3*(j + 17)
Factor -16*y + 15*y**2 + 42*y - 16*y - 5*y**4.
-5*y*(y - 2)*(y + 1)**2
Let k(r) be the third derivative of -1/24*r**6 + 0 + 5/24*r**4 + 0*r - 5/3*r**3 + 1/6*r**5 + 10*r**2. Factor k(n).
-5*(n - 2)*(n - 1)*(n + 1)
Suppose -7*w = 2*w. Let z be (-3 + 40/15)*(-1 + w). Suppose 0 - z*q - 1/3*q**2 = 0. Calculate q.
-1, 0
Let g(v) be the third derivative of v**7/7560 + v**6/1080 - 5*v**4/24 + 2*v**2. Let j(m) be the second derivative of g(m). Factor j(r).
r*(r + 2)/3
Let s(j) = j**3 - 8*j**2 + 3*j - 20. Let m be s(8). Factor -4*f**3 - f**4 + 14*f**3 - 5*f**2 + 0*f**m - 20*f**2.
-f**2*(f - 5)**2
Suppose -8*l - 3 = -5*i - 4*l, -i - 4*l + 15 = 0. Factor 0*y + 1/3*y**i - 5/3*y**2 + 0.
y**2*(y - 5)/3
Let o(t) be the first derivative of -t**4 + 164*t**3/3 - 323. Determine h, given that o(h) = 0.
0, 41
Let f(w) be the first derivative of -3*w**4/4 + 85*w**3 + 1011. Factor f(q).
-3*q**2*(q - 85)
What is f in -8*f**2 - 28*f**3 + 2440 - 2440 = 0?
-2/7, 0
Let v(j) = -6*j**2 - 158*j + 110. Let w be v(-27). Factor 0*p**w + 0*p + 1/4*p**5 + 0 + 3/4*p**4 + 1/2*p**3.
p**3*(p + 1)*(p + 2)/4
Let 11*r + 2*r**3 - 6 + 6 + 14 + 14 - 49*r + 8*r**2 = 0. Calculate r.
-7, 1, 2
Let r(b) be the first derivative of 8*b**2 - 80/3*b**3 + 0*b + 23 - 88/5*b**5 + 33*b**4 + 10/3*b**6. Find g, given that r(g) = 0.
0, 2/5, 1, 2
Let x be 5/(30/6) + (-4)/2. Let k be (-26)/39 + 2 + x. Factor -k*i**3 + 4/3*i + 4/3 - 1/3*i**2.
-(i - 2)*(i + 1)*(i + 2)/3
Let i be (-200)/250*(5/(-7))/((-6)/(-7)). Determine y, given that -i - 2/9*y**2 + 8/9*y = 0.
1, 3
Suppose -6 + 0 = -2*o. Suppose -2*u = 2*u - 12, -o*w + 21 = -3*u. Determine m so that 4*m**2 - w*m**2 - 24*m + 8 + 16*m**2 = 0.
2/5, 2
Let g(d) be the third derivative of 0*d - 4/3*d**4 - 1/15*d**5 + 0 + 2/21*d**7 - 37*d**2 + 1/84*d**8 - 8/3*d**3 + 7/30*d**6. Solve g(y) = 0 for y.
-2, -1, 1
Let h(x) be the third derivative of 8*x**2 + 0*x - 1/3*x**4 + 1/12*x**5 - 1/120*x**6 + 0 + 2/3*x**3. Determine d, given that h(d) = 0.
1, 2
Let w(a) be the second derivative of a**6/120 + a**5/10 + 2*a**3 + 12*a. Let x(l) be the second derivative of w(l). Suppose x(p) = 0. Calculate p.
-4, 0
Let s = 1125 + -1125. Solve 0*p**4 - 1/2*p**5 - 1/2*p + p**3 + s + 0*p**2 = 0 for p.
-1, 0, 1
Let c(o) be the third derivative of -o**5/60 + o**4/2 - 9*o**3/2 + 5*o**2 - o. Factor c(y).
-(y - 9)*(y - 3)
Suppose 2*b + 2 = 0, 3*v - 10 = -b - 2. Suppose -128 + 2*x**v + 96*x + 7*x**2 + 0*x**3 - 31*x**2 = 0. What is x?
4
Let s(d) be the second derivative of -d**5/4 + 5*d**4/2 - 10*d**3 + 20*d**2 + 32*d + 2. Factor s(j).
-5*(j - 2)**3
Let w(b) = -b**2 + 5*b + 30. Let i be w(9). Let u be (12/(-15))/(1/(5/i)). Factor -4/3*n**4 + 0*n**2 + 0 - 2/3*n**3 - u*n**5 + 0*n.
-2*n**3*(n + 1)**2/3
Suppose -4*w + 7 = 5*z, -3 = 2*z + 4*w - 1. Factor 8*p**2 - 57 + 6*p - 16*p - 2*p**z + 61.
-2*(p - 2)*(p - 1)**2
Let r = -119941/9 + 13327. Find m, given that -r*m - 14/9*m**2 + 0 = 0.
-1/7, 0
Solve 412 + 307*v + 2*v**3 + 54*v**2 - 804 + 29*v = 0 for v.
-14, 1
Let o(p) = 3*p**4 + 3*p**3 + 3*p**2 + 3*p - 6. Let u(y) = -4*y**4 - 5*y**3 - 3*y**2 - 2*y + 7. Let h(f) = -7*o(f) - 6*u(f). Factor h(l).
3*l*(l - 1)*(l + 1)*(l + 3)
Let t be (-12)/3 + 134/2. Let b be 48/(-14)*t/(-18). Let l + 0*l + b*l**2 + 14*l**3 - l - 2*l = 0. Calculate l.
-1, 0, 1/7
Factor -125*d - 3*d**2 + 5791 + 0*d**2 - 457*d - 1072 - 32946.
-3*(d + 97)**2
Let g(d) be the third derivative of -d**8/80640 + d**7/5040 - d**6/960 + 8*d**5/15 + 30*d**2. Let i(t) be the third derivative of g(t). Factor i(a).
-(a - 3)*(a - 1)/4
Let z(x) = 2*x**3 + 93*x**2 + 49*x + 138. Let t be z(-46). Factor -2/3*j**2 - 2/3*j + t.
-2*j*(j + 1)/3
Suppose -2*r + 6*r - 41 = -5*f, 0 = -4*f + 20. Solve 88*k**r + 3*k - 24*k + 5 + 27*k**2 + 1 - 85*k**4 - 15*k**3 = 0.
1, 2
Let r(u) = -14*u + 4. Let z be r(0). Let v(q) be the first derivative of -6 + 13/18*q**z + 10/9*q**3 + 7/9*q**2 + 2/9*q + 8/45*q**5. Factor v(b).
2*(b + 1)**3*(4*b + 1)/9
Suppose 19 = 3*w - t, -t = 2*w - 10 - 1. Let r(g) be the third derivative of -1/240*g**w + 0*g**3 - 1/420*g**7 + 0*g + 0*g**4 + 0 - g**2 + 0*g**5. Factor r(i).
-i**3*(i + 1)/2
Let u(f) be the first derivative of 3/2*f**4 + 3*f**3 + 12*f - 3 - 3/5*f**5 - 12*f**2. Factor u(t).
-3*(t - 2)*(t - 1)**2*(t + 2)
Let f(v) be the third derivative of 7*v**7/240 - 7*v**6/60 + v**5/5 + v**4/8 + 6*v**2. Let c(a) be the second derivative of f(a). Let c(h) = 0. What is h?
4/7
Let u = 182 - 158. Determine p so that -u*p**2 - 4*p**2 + 8*p - 20*p**4 - 61*p**3 + 5*p**3 = 0.
-2, -1, 0, 1/5
Suppose -8*n + 7 + 9 = 0. Solve 10*p**2 - 8*p**2 - 3*p**n + p + 2 = 0.
-1, 2
Let k(w) be the first derivative of 1/2*w + 1/8*w**2 - 1/6*w**3 - 1/16*w**4 + 1. Suppose k(x) = 0. Calculate x.
-2, -1, 1
Let u(x) be the second derivative of -15*x**4/4 + 50*x**3/3 - 10*x**2 - 16*x - 2. Find j such that u(j) = 0.
2/9, 2
Solve -48*h + 50 + 3 + 268*h**3 + 11 - 264*h**3 = 0.
-4, 2
Let k(g) be the second derivative of -4*g**7/105 - g**6/25 + 9*g**5/50 - g**4/15 - 137*g + 2. Solve k(w) = 0.
-2, 0, 1/4, 1
Let n(b) be the second derivative of -5/8*b**4 + 1/4*b**3 + 3/4*b**2 + b + 9/40*b**5 + 5. Factor n(x).
3*(x - 1)**2*(3*x + 1)/2
Let l(f) = -39*f**5 - 45*f**4 - 54*f**3 - 24*f. Let h(t) = 8*t**5 + 9*t**4 + 11*t**3 + 5*t. Let p(k) = 24*h(k) + 5*l(k). Find z such that p(z) = 0.
-2, -1, 0
Find q such that -158*q + 2*q**2 - 3*q**2 + 10315 - 16556 = 0.
-79
Let y(m) be the first derivative of 2*m**3/9 - 4*m**2 + 40*m/3 + 46. Let y(r) = 0. What is r?
2, 10
Let n = -33 - -35. Factor -36*w**3 - 2*w + 27*w**n - 5*w + w + 8*w**4 + 4*w**4.
3*w*(w - 2)*(2*w - 1)**2
Let r(i) = -10*i**2 - 50*i + 14. Let z(t) = -7*t**2 - 49*t + 15. Let p(v) = 5*r(v) - 6*z(v). Factor p(o).
-4*(o - 5)*(2*o - 1)
Let z(n) be the first derivative of n**7/56 + 3*n**6/40 - 9*n**5/40 - n**4/2 + 17*n + 45. Let m(c) be the first derivative of z(c). Solve m(i) = 0.
-4, -1, 0, 2
Suppose l = 6*l - 45. Suppose 4*d = 3*t + 5, -4*d = -0*d + t - l. Determine r, given that -54 - 40*r - 14*r - 2*r**3 - 7*r**2 - 11*r**d = 0.
-3
Let s(p) be the third derivative of -1/30*p**5 + 0*p - 1/3*p**3 + 1/6*p**4 - 10*p**2 + 0. What is t in s(t) = 0?
1
Suppose 7*l + 156 = 19*l. What is p in 0 + 58*p + 3*p**4 - 4*p**5 + l*p**3 - p**2 - 2 - 67*p = 0?
-1, -1/4, 1, 2
Let p(l) be the third derivative of -1/30*l**5 - 9*l**2 + 0*l + 0 + 2*l**3 - 1/12*l**4. Let f(o) = 2*o**2 + o - 13. Let r(s) = 4*f(s) + 5*p(s). Solve r(z) = 0.
-4, 1
Let m(k) be the third derivative of k**7/280 + k**6/30 + k**5/10 - 7*k**3/6 - 13*k**2. Let f(d) be the first derivative of m(d). Let f(t) = 0. Calculate t.
-2, 0
Let k = -1032 + 1035. Factor 1/3*j**5 - 2/3*j**2 + 0 - 1/3*j**k + 2/3*j**4 + 0*j.
j**2*(j - 1)*(j + 1)*(j + 2)/3
Let v(t) be the second derivative of -t**5/5 + 16*t**4 - 350*t**3 - 2500*t**2 - 13*t - 4. Factor v(l).
-4*(l - 25)**2*(l + 2)
Let y(j) be the first derivative of 0*j**5 + 0*j**3 - 13 - 1/4*j**4 + 1/6*j**6 + 0*j + 0*j**2. Factor y(c).
c**3*(c - 1)*(c + 1)
Determine d, given that -20/9*d**3 + 0 - 18*d - 1/9*d**4 - 13*d**2 = 0.
-9, -2, 0
Let x(y) be the second derivative of 3*y**5/20 + 5*y**4 - 50*y. Factor x(z).
3*z**2*(z + 20)
Let d(q) = 5*q**4 - 10*q**3 - 33*q**2 - 52*q - 22. Let k(n) = -n**4 + 2*n + 1. Let m(j) = -d(j) - 6*k(j). Factor m(s).
(s + 1)**2*(s + 4)**2
Let t be (-3144)/168 - 2/7. Let o(l) = -l**3 - 18*l**2 + 21*l + 40. Let f be o(t). Factor 2/5*d + 4/5 - 2/5*d**f.
-2*(d - 2)*(d + 1)/5
Let j(i) be the first derivative of -5*i**4/12 + 35*i**3/3 - 245*i**2/2 - 22*i - 16. Let a(l) be the first derivative of j(l). Suppose a(n) = 0. Calculate n.
7
Let o be ((-1)/5)/(-1) - 822/5. Let y = o + 165. Factor 12/5*i - 16/5*i**2 + y*i**3 + 0.
4*i*(i - 3)*(i - 1)/5
Suppose -4 - 17 + 28*q**2 - 12 + 76*q + 9 = 0. What is q?
-3, 2/7
Factor -118*l**4 - 24*l**2 - 2*l**3 + 41*l**4 + 44*l**4 + 35*l**4.
2*l**2*(l - 4)*(l + 3)
Let w = 2208 - 6623/3. Let r(g) be the first derivative of 1/2*g**2 + 15 + 1/16*g**4 + w*g**3 + 0*g. Solve r(p) = 0 for p.
-2, 0
Let o be 121 + -118 + 1*(-2)/(-1). Let f(d) be the second derivative of 1/5*d**4 + 1/2*d**3 + 0 + 3/100*d**o + 3/5*d**2 + 8*d. Factor f(c).
3*(c + 1)**2*(c + 2)/5
What is l in 8*l**3 + 749*l - 749*l + 4*l**2 = 0?
-1/2, 0
Let o be 4/(-14) - 161/(-49). Factor -36*l**3 - 39