169*f**2. Factor m(s).
s*(s + 3)
Let c be (17 - 1)/(126/210). Solve 40/3*r - c - 5/3*r**2 = 0 for r.
4
Let a(u) be the first derivative of u**8/504 + 4*u**7/315 + u**6/45 + 3*u**2/2 + 4. Let v(k) be the second derivative of a(k). Factor v(p).
2*p**3*(p + 2)**2/3
Let 176*x**4 - 203*x**2 - 78*x**2 + 6*x**5 - 34*x**5 + 537*x**2 - 48*x - 356*x**3 = 0. Calculate x.
0, 2/7, 1, 2, 3
Let x = 89 - 160. Let h = -68 - x. Determine g so that -2/3*g**5 + 0 + 8/3*g**2 + 0*g**h + 0*g - 2*g**4 = 0.
-2, 0, 1
Let p be (-4)/20 + (-318)/(-15) - 3. Factor -p + 2*h**2 - 12*h - 1 + 5.
2*(h - 7)*(h + 1)
Suppose -28 = -5*f + c, -3 = 5*f - 2*c - 34. Let v(a) be the second derivative of -3/20*a**f + 0 + 3/2*a**2 + 5*a - 3/2*a**3 + 3/4*a**4. Factor v(t).
-3*(t - 1)**3
Let o(s) be the first derivative of -12*s**3 - 111*s**2/2 - 9*s + 397. Let o(w) = 0. What is w?
-3, -1/12
Let f(v) be the first derivative of v**5 + 9*v**4/2 + 4*v**3/3 - 9*v**2 - 2*v - 37. Let d(y) = -y**3 - y**2 + y. Let z(h) = -14*d(h) - 2*f(h). Solve z(s) = 0.
-2, -1, -1/5, 1
Let y(c) be the first derivative of -c**6/2 + 15*c**4/2 - 27*c**2/2 - 416. Let y(v) = 0. What is v?
-3, -1, 0, 1, 3
Let n = 33 + -31. Factor 0*z**2 + 9 + 2*z**n + 6*z - z**2.
(z + 3)**2
Find i such that -1/6*i**2 + 3/2 + 0*i = 0.
-3, 3
Let v(z) = -9*z**3 + z**2 - z. Let w(q) = q**3 + q**2 + q. Suppose 6 = -5*b + 2*b. Let f(o) = b*v(o) - 2*w(o). Let f(p) = 0. Calculate p.
0, 1/4
Let z(c) be the third derivative of 7/180*c**6 - 13*c**2 - 1/18*c**3 + 1/126*c**7 + 0*c + 1/15*c**5 + 1/36*c**4 + 0. Let z(h) = 0. Calculate h.
-1, 1/5
Suppose -60*y + 55*y = -15. Let q be y/((-3)/(-4))*(-39)/(-52). Let 3/4 - 3/4*t - 33/4*t**3 - q*t**4 - 27/4*t**2 = 0. What is t?
-1, 1/4
Factor -1/3*s**2 + 5/6*s + 1/2.
-(s - 3)*(2*s + 1)/6
Suppose -6*x = -11 - 1. Factor 64*g**x + 10*g**3 + 2*g**3 - 76*g**2 - 4*g**4 + 4*g.
-4*g*(g - 1)**3
Let z(y) = -10*y**2 - 200*y + 205. Let m(f) = -15*f**2 - 300*f + 307. Let h(j) = -5*m(j) + 8*z(j). Find w such that h(w) = 0.
-21, 1
Determine k, given that 2*k**4 + 4*k**4 - 726*k**3 + 551*k**3 - k**4 - 780*k - 760*k**2 = 0.
-2, 0, 39
Let k(y) be the third derivative of -y**8/1344 + y**7/560 + y**6/120 + y**5/30 - 21*y**2. Let b(r) be the third derivative of k(r). Let b(n) = 0. Calculate n.
-2/5, 1
Solve 376/19*a - 2/19*a**2 + 378/19 = 0 for a.
-1, 189
Let s(d) be the first derivative of -d**6/6 - 4*d**5/5 - 3*d**4/4 + 4*d**3/3 + 2*d**2 + 2. Factor s(k).
-k*(k - 1)*(k + 1)*(k + 2)**2
Let i(t) be the third derivative of -t**6/720 + 5*t**5/72 - 2*t**2 - 14. Factor i(f).
-f**2*(f - 25)/6
Let v(i) = i**4 + 7*i**3 - 7*i**2 - 3*i + 8. Let o(n) = -4*n**4 - 7*n**2 - 2*n + 3*n**4 + 2*n**4 + 8*n**3 + 9. Let m(l) = 2*o(l) - 3*v(l). Factor m(q).
-(q - 1)**2*(q + 1)*(q + 6)
Find m such that -1/2*m**3 - 27/2*m - 27/2 - 9/2*m**2 = 0.
-3
Suppose 5*y - 204 - 416 = 0. Suppose 4*z - 32 - y = 0. Solve -39 + 3*s**2 + 9*s**3 + z - 3*s**3 = 0.
-1/2, 0
Let -15 + 22*o**2 - 2*o**4 + 16*o**3 + 2*o**3 + 0*o**2 - 18*o - 5 = 0. What is o?
-1, 1, 10
Factor -3*h**4 + 18*h**3 + 47537*h**2 - 18*h + 1 - 1 - 47534*h**2.
-3*h*(h - 6)*(h - 1)*(h + 1)
Suppose 438 = -6*s - 900. Let h = -667/3 - s. Factor -10/9*d**2 + 0 + h*d**3 + 4/9*d.
2*d*(d - 1)*(3*d - 2)/9
Let n(o) = o**2 + o - 2. Let a be n(3). Let q be 12/(-30) - (-34)/a. Factor -d**4 + q*d**5 + 3*d**4 + 4*d**4.
3*d**4*(d + 2)
Let u(x) be the first derivative of -10*x**2 + 8*x + 5*x**4 - 12/5*x**5 - 10 + 4/3*x**3. What is h in u(h) = 0?
-1, 2/3, 1
Factor 8*h**3 - 3516*h**5 + 16*h**3 + 3514*h**5 - 32*h**2.
-2*h**2*(h - 2)**2*(h + 4)
Let j(o) = -o**3 + 4*o**2 + 9*o + 4. Let i(y) = -y + 5. Let c be i(2). Let z(q) = 2*q**3 - 3*q**2 - 8*q - 3. Let a(w) = c*j(w) + 4*z(w). Factor a(v).
5*v*(v - 1)*(v + 1)
Let j = 5048 - 10093/2. Factor -2*b**2 - 1/2*b + j*b**3 + 1.
(b - 1)**2*(3*b + 2)/2
Let r(v) = 9*v - 2. Let n be r(1). Suppose -2*p + 11 = n. Determine l so that -5*l**p + 4*l + l**2 - 2*l**3 - 4*l - 2*l = 0.
-1, 0
Let h = 38 - -4. Let j = -42 + h. Let j*n - 3/7*n**3 + 0 - 3/7*n**2 = 0. Calculate n.
-1, 0
Let h be ((-19)/95)/((-2)/50). Suppose 19 - 2 = -2*b + h*y, -3*y = -15. Factor 2*c**2 + c**3 - 18*c**4 + 44*c**b - 27*c**4.
-c**2*(c - 2)*(c + 1)
Let z = -282 - -288. Let a be (-12)/z - (-2 + 0). Let 4/3*d**5 + a*d**3 + 0 - 4/3*d - 8/3*d**4 + 8/3*d**2 = 0. What is d?
-1, 0, 1
Factor -30/7*z + 0 - 2/7*z**4 + 26/7*z**2 + 6/7*z**3.
-2*z*(z - 5)*(z - 1)*(z + 3)/7
Let a(u) = u**2 - 5*u + 8. Suppose 7 = 2*p - 3. Let t be a(p). Let -22*d**2 + 13*d**2 + t*d**2 + d**4 = 0. What is d?
-1, 0, 1
Let h(z) be the second derivative of -1/5*z**2 - 1/10*z**4 - 1/50*z**5 - 1/5*z**3 + 25*z + 0. Solve h(v) = 0.
-1
Let u = 34 - 32. Suppose -r = u*r - 12. Suppose 14 - 1 + 4*i - r*i**3 - 2*i**4 - 1 - 10 = 0. What is i?
-1, 1
Let o(s) be the first derivative of 3*s + 0*s**2 - 48 - 1/9*s**3. Solve o(h) = 0.
-3, 3
Let z(w) = w**2 - 17*w - 2. Let t be z(16). Let n = t + 20. Find v such that 2/5*v**n + 0*v - 2/5 = 0.
-1, 1
Suppose -33*t + 35*t + 7 = 5*w, -32 = -5*t - 4*w. Let d(j) be the first derivative of 3 + 1/6*j**2 + 0*j - 1/9*j**3 - 1/6*j**t. Factor d(k).
-k*(k + 1)*(2*k - 1)/3
Let p = 37 + -32. What is s in -7*s**3 + s**3 + s**4 + 4*s**2 + 4*s**5 - p*s**4 + 2*s**3 = 0?
-1, 0, 1
Let j(d) be the first derivative of 25*d**4/4 + 5*d**3/3 - 25*d**2/2 - 5*d + 423. Determine l, given that j(l) = 0.
-1, -1/5, 1
Let t(g) = 90*g**2 + 90*g + 2. Let p(i) = -i**3 + 450*i**2 + 451*i + 11. Let y(b) = 2*p(b) - 11*t(b). Solve y(m) = 0 for m.
-44, -1, 0
Suppose -a = j - 1, -2*j + 0*a - 1 = 5*a. Suppose m + f = 7, j*f - f + 5 = 5*m. Find z such that 1/2 + 25/2*z**m - 5*z = 0.
1/5
Let a = 8096 + -8056. Factor 15/2*x**2 + a*x - 30.
5*(x + 6)*(3*x - 2)/2
Let d(r) be the first derivative of -5*r**3/3 + 25*r**2/2 + 37. Factor d(n).
-5*n*(n - 5)
Let s be (-6)/(-36)*-21*3/(-14). Let d(r) be the first derivative of 1/4*r**3 - 4 - s*r**2 - 9/4*r. Factor d(h).
3*(h - 3)*(h + 1)/4
Factor -15 - 13 + 15*f - 5*f**2 - 15 - 15*f**3 + 53 - 5*f**4.
-5*(f - 1)*(f + 1)**2*(f + 2)
Let m(o) be the first derivative of -o**3/24 + 11*o**2/16 + 3*o/2 + 123. Factor m(v).
-(v - 12)*(v + 1)/8
Let b be 4/((-36)/(-21)) + (-26)/(-39). Let h(q) be the third derivative of 0*q + 0 + 1/12*q**b - q**2 + 1/120*q**5 - 1/24*q**4. Let h(j) = 0. What is j?
1
Let k(l) be the first derivative of -l**4/14 + 10*l**3/21 - l**2 + 6*l/7 - 271. Solve k(j) = 0 for j.
1, 3
Let g(z) be the second derivative of -3*z**5/20 - 315*z**4/4 - 33075*z**3/2 - 3472875*z**2/2 - 3*z + 81. Find m such that g(m) = 0.
-105
Suppose -14*z = -19*z + 20. Suppose -17*d + z = -15*d. Factor -14/5*s - 4/5 - d*s**2.
-2*(s + 1)*(5*s + 2)/5
Let k(x) be the first derivative of 15/2*x**2 + 0*x**3 + 30 - 10*x - 5/4*x**4. Factor k(s).
-5*(s - 1)**2*(s + 2)
Let b(n) = -10*n**4 + 16*n**3 - 12*n**2 + n - 1. Let k(m) = -21*m**4 + 31*m**3 - 23*m**2 + 2*m - 3. Let j = 123 + -116. Let v(t) = j*b(t) - 3*k(t). Factor v(l).
-(l - 1)**3*(7*l + 2)
Let f = -208 + 213. Let g(x) be the third derivative of 0*x - 1/15*x**f + 1/15*x**6 - 4/3*x**4 - 2*x**2 + 8/3*x**3 + 0. Suppose g(c) = 0. Calculate c.
-2, 1/2, 2
Suppose 5*d + 19 - 19 = 0. Let o(n) be the third derivative of 0 + 0*n - 5*n**2 - 1/300*n**5 - 1/40*n**4 + d*n**3. Let o(l) = 0. Calculate l.
-3, 0
Let a(q) be the second derivative of 0*q**4 - 2/5*q**5 + 2/21*q**7 + 0*q**2 + 0*q**6 + 2/3*q**3 - 10*q + 0. What is o in a(o) = 0?
-1, 0, 1
Factor -10*l**3 - 12*l**3 + 20*l**3 - 1 + 23 + 8*l**2 + 26 + 58*l.
-2*(l - 8)*(l + 1)*(l + 3)
Let k(v) be the first derivative of -1/20*v**4 + 2 + 5*v - 1/10*v**3 + 3/5*v**2. Let u(j) be the first derivative of k(j). Factor u(m).
-3*(m - 1)*(m + 2)/5
Let t(r) be the second derivative of 10/11*r**4 + 9*r + 0 + 23/33*r**3 + 2/11*r**2. Factor t(b).
2*(4*b + 1)*(15*b + 2)/11
Let s(k) be the first derivative of -3*k**5/4 + 65*k**4/12 - 10*k**3/3 - 15*k + 36. Let h(b) be the first derivative of s(b). Factor h(m).
-5*m*(m - 4)*(3*m - 1)
Let g(q) be the third derivative of -q**10/3360 + q**9/2520 + q**8/2240 - q**4/3 + 33*q**2. Let m(t) be the second derivative of g(t). Solve m(l) = 0 for l.
-1/3, 0, 1
Factor -n + 10 + 8140*n**2 - 8136*n**2 - 15*n - 58.
4*(n - 6)*(n + 2)
Let q(g) = -9*g**2 - g - 1. Let k(f) = 265*f**2 + 1660*f - 132815. Let u(j) = -k(j) - 30*q(j)