*2 + 84717*p**2 - 444*p**4 + 133672 - 37698 + 1621*p**3 - 16672*p**3 - 209748*p = 0. What is p?
-77, 2
Let v(t) = t**3 - 4*t**2 + 3*t + 9. Let s(w) = w**2. Let i be 130/(-182) + (-4)/14. Let x(c) = i*v(c) + s(c). Factor x(r).
-(r - 3)**2*(r + 1)
Let c be ((-96)/(-112))/(72/56). Solve 32/3*m**3 + 28/3*m**2 + 6*m**4 + 4/3*m**5 + c + 4*m = 0 for m.
-1, -1/2
Let b(m) = -631*m**3 - m. Let z be b(-1). Factor -632 + 3*k**3 - 6*k**2 + z + 3*k.
3*k*(k - 1)**2
Factor -8/9*d + 20/9*d**2 - 8/9*d**4 - 16/9 + 2/9*d**3 + 2/9*d**5.
2*(d - 2)**3*(d + 1)**2/9
Let m = 2286/3367 - -17/481. What is o in -o**2 + 4/7 - 2/7*o**3 + m*o = 0?
-4, -1/2, 1
Let c = -8063 - -8067. Factor 2/3*h**2 + 2/3*h - c.
2*(h - 2)*(h + 3)/3
Let j = 4/199 - -183/796. Let p(i) be the first derivative of -9 - 1/2*i**2 - 1/10*i**5 + 1/2*i + 0*i**3 + j*i**4. Let p(d) = 0. Calculate d.
-1, 1
Let j(g) = -g**3 + g**2 + 5*g - 1. Let y(q) = 2*q**2 - 10*q + 11. Let k be y(4). Let p(u) = -u - 1. Let o(x) = k*p(x) - 3*j(x). Find b, given that o(b) = 0.
-2, 0, 3
Let i be (2 + 444/(-234))/((-4)/6). Let j = 17/26 + i. Factor j + 3*z + 5/2*z**2.
(z + 1)*(5*z + 1)/2
Let t be 148/4440*(-1)/(-6). Let o(q) be the second derivative of 9*q + 0*q**2 + 0 + 1/54*q**4 - t*q**5 + 0*q**3 - 1/270*q**6. What is z in o(z) = 0?
-2, 0, 1
Suppose -9*n = -11 - 52. Let f be 5/n - (-2)/7. Let l(k) = -35*k**3 - 25*k**2 + 40*k + 30. Let c(u) = -u - 1. Let y(z) = f*l(z) + 30*c(z). Solve y(g) = 0.
-1, 0, 2/7
Let h(d) = 6*d**4 - 12*d**3 - 12*d**2 + 12*d + 8. Let n(w) = 14*w**4 - 26*w**3 - 24*w**2 + 26*w + 15. Let u(v) = -10*h(v) + 4*n(v). Solve u(s) = 0 for s.
-1, 1, 5
Suppose -10 + 6 = -2*j - y, -y = -4*j + 14. Factor -8/9 - 4/9*r**j + 8/9*r - 2/9*r**4 + 2/3*r**2.
-2*(r - 1)**2*(r + 2)**2/9
Let s be 1/1 + 30 - -3. Factor 34 - s + p - p**3.
-p*(p - 1)*(p + 1)
Let t(n) = -n**3 - 5*n + 1. Let j(l) = 6*l**3 - 8*l**2 + 30*l + 45. Let k(r) = j(r) + 5*t(r). Factor k(c).
(c - 5)**2*(c + 2)
Let i(u) be the second derivative of -u**7/2520 - 7*u**6/180 - 49*u**5/30 + 37*u**4/12 + 41*u. Let n(q) be the third derivative of i(q). Solve n(v) = 0 for v.
-14
Suppose 4*i = 8*g + 40, -2*g - 10 = 2*i - 12. Let d(v) be the first derivative of -1/10*v**i + 0*v**2 + 0*v**3 + 2/25*v**5 - 9 + 0*v. What is q in d(q) = 0?
0, 1
Let i(d) be the first derivative of -d**6/300 - d**5/150 + d**4/30 + 3*d**2 - 5. Let a(x) be the second derivative of i(x). Factor a(u).
-2*u*(u - 1)*(u + 2)/5
Let c(g) be the second derivative of g**6/105 + g**5/35 - g**4/6 - 20*g**3/21 - 12*g**2/7 - 53*g. Factor c(m).
2*(m - 3)*(m + 1)*(m + 2)**2/7
Suppose 161*m - 286*m + 153*m = 0. Factor 2/3*f**2 - 14/3*f + m.
2*f*(f - 7)/3
Let c(b) be the first derivative of b**4/16 + 8*b**3/3 - 67*b**2/8 + 17*b/2 - 21. Let c(d) = 0. Calculate d.
-34, 1
Let m be (-28)/8*6/21*-2. Suppose 2330*l**2 + 48 - 2326*l**2 + m*l - 54*l = 0. Calculate l.
1, 12
Suppose 0 = 16*h - 278 - 26. Factor -5*v**3 - 36*v + 51*v**2 - h*v**3 + 7*v + 3*v**4 - v.
3*v*(v - 5)*(v - 2)*(v - 1)
Let g(s) = s + 15. Let x be g(-12). Factor -18*q**2 + 6*q**2 - 13*q**x + 16*q**3 + 12*q.
3*q*(q - 2)**2
Suppose -1/3*g**5 + 0 - 23/3*g**3 + 0*g - 3*g**4 - 5*g**2 = 0. Calculate g.
-5, -3, -1, 0
Let w(u) be the second derivative of u**5/12 - 10*u**3/3 + 11*u**2/2 - 14*u. Let b(j) be the first derivative of w(j). Factor b(h).
5*(h - 2)*(h + 2)
Let i(p) be the first derivative of 4*p**6/15 - 86*p**5/25 + 129*p**4/10 - 26*p**3/3 - 5*p**2 - 86. Suppose i(t) = 0. What is t?
-1/4, 0, 1, 5
Let d be 1/(0 - 4/(-12)). Factor y**d + 5*y**3 - 2*y**5 + 3*y**4 + y + y**4 + 3*y**5 + 4*y**2.
y*(y + 1)**4
Let w(i) = -i**3 - 2*i**2 + 262*i + 122. Let v be w(-17). Find m, given that 2/3*m + 0 + 2/3*m**v + 4/3*m**2 = 0.
-1, 0
Suppose -11*j + 0 = -77. Let n(p) be the third derivative of 0*p**3 + 0*p**6 - 1/504*p**8 + 0 + 1/36*p**4 + 3*p**2 - 1/45*p**5 + 0*p + 2/315*p**j. Factor n(o).
-2*o*(o - 1)**3*(o + 1)/3
Factor -28/9*x**2 + 2/9*x**4 - 2/3 + 2/9*x**5 - 4/3*x**3 - 22/9*x.
2*(x - 3)*(x + 1)**4/9
Let k(c) be the third derivative of -c**8/4480 + 3*c**7/1120 - 3*c**6/320 + 29*c**3/6 + 9*c**2. Let n(u) be the first derivative of k(u). What is f in n(f) = 0?
0, 3
Suppose -342*m + 93 + 468 = -123. Factor -3/5*w + 0 - 3/5*w**m + 3/5*w**3 + 3/5*w**4.
3*w*(w - 1)*(w + 1)**2/5
Factor 9/11*m - 9/11*m**3 + 1/11*m**4 + 10/11 - m**2.
(m - 10)*(m - 1)*(m + 1)**2/11
Let i be (2/(20/30))/((-3)/(-81)). Factor i*v - 375/4*v**4 + 135/2*v**2 - 75*v**3 + 81/4.
-3*(v - 1)*(5*v + 3)**3/4
Let c(d) be the first derivative of -d**6/39 - 2*d**5/65 + 3*d**4/26 + 2*d**3/39 - 2*d**2/13 - 639. Solve c(l) = 0.
-2, -1, 0, 1
Let 16 + 68/3*r - 2/9*r**4 + 58/9*r**2 - 4/9*r**3 = 0. What is r?
-4, -3, -1, 6
Suppose 0 = -59*z + 20*z. Let a(t) be the third derivative of 0 - 1/1155*t**7 + 1/330*t**5 + z*t**3 + 0*t**4 + 0*t**6 + 5*t**2 + 0*t. Factor a(i).
-2*i**2*(i - 1)*(i + 1)/11
Let r(i) = 5*i**2 + 2. Let b(x) = -x + 12*x**2 + 2*x + 17*x**2 + 13 + 0*x**2. Let o(p) = 6*b(p) - 39*r(p). Let o(y) = 0. What is y?
0, 2/7
Let b = 3097 - 6185/2. Factor -b - 3/2*x**2 - 6*x.
-3*(x + 1)*(x + 3)/2
Let v(s) = -s - 1. Let u(c) = -2*c - 5. Let h(f) = 3*u(f) - 15*v(f). Let o be h(0). Let 0*p - 7/2*p**4 + 0 - p**3 - 5/2*p**5 + o*p**2 = 0. What is p?
-1, -2/5, 0
Let s(b) be the second derivative of -b**8/3360 + b**7/420 + b**6/360 - b**5/20 + 23*b**4/12 - 4*b. Let c(m) be the third derivative of s(m). Factor c(g).
-2*(g - 3)*(g - 1)*(g + 1)
Let r = 275 + -270. Let w(h) be the second derivative of 1/4*h**r + 3*h - 1/3*h**4 + 0 - 1/15*h**6 + 1/6*h**3 + 0*h**2. Factor w(v).
-v*(v - 1)**2*(2*v - 1)
Let w = -353 + 360. Let q(p) be the third derivative of -w*p**2 + 1/96*p**4 + 1/240*p**5 + 0*p - 1/840*p**7 + 0*p**3 - 1/480*p**6 + 0. Factor q(g).
-g*(g - 1)*(g + 1)**2/4
Let x(l) be the third derivative of 0 + 22*l**2 + 0*l - 1/4*l**4 + 1/20*l**5 + 0*l**3. Factor x(z).
3*z*(z - 2)
Let l(k) be the first derivative of 3*k**5/5 + 3*k**4/4 - 3*k**3 - 3*k**2/2 + 6*k - 162. Let l(t) = 0. Calculate t.
-2, -1, 1
Let i(q) = -q**3 + 15*q**2 - 17*q + 32. Let h be i(14). Let k be (-8)/(h*(-4)/(-8)). Solve -8/5 - k*t - 2/5*t**2 = 0.
-2
Suppose 14*v + 4*v - 36 = 0. Suppose 12 = -v*c + 2, y - 2*c = 12. Factor 0 - 2/3*n**y - 7/3*n**3 + 0*n.
-n**2*(7*n + 2)/3
Let j(v) = 11*v**3 - 46*v**2 + 35*v + 12. Let p(d) = -d**3 - d**2 - d. Let q(x) = j(x) - p(x). Suppose q(f) = 0. Calculate f.
-1/4, 2
Let c(a) be the second derivative of a**4/18 + 38*a**3/9 + 361*a**2/3 + 12*a + 3. Factor c(t).
2*(t + 19)**2/3
Let y be (24/9)/(26/39). Let f(r) = -r**3 - 4*r**2 + 2. Let z be f(-4). What is g in z - y*g**3 - 3 + 1 - 16*g + 16*g**2 = 0?
0, 2
Let k(s) = -23*s**2 + 25*s - 8. Let b(g) = 47*g**2 - 55*g + 8*g - 2*g + 17. Let f(u) = -3*u - 1. Let c be f(-1). Let p(x) = c*b(x) + 5*k(x). Factor p(d).
-3*(d - 1)*(7*d - 2)
Solve 1/2*f**2 + 10 - 21/2*f = 0.
1, 20
Let a(c) = 20*c**5 - 116*c**4 - 20*c**3 + 84*c**2 + 32. Let x(z) = 3*z**5 - 18*z**4 - 3*z**3 + 13*z**2 + 5. Let l(m) = 5*a(m) - 32*x(m). Factor l(s).
4*s**2*(s - 1)**2*(s + 1)
Let b(n) be the third derivative of -1/420*n**6 + 1/84*n**4 + 6*n**2 + 0 + 0*n**3 + 0*n**5 + 0*n. Find s, given that b(s) = 0.
-1, 0, 1
Let u be 10*(-48)/560 - (-2 + 1). Factor -u*n + 0 + 5/7*n**2.
n*(5*n - 1)/7
Let l(i) = -4*i**2 - 2*i + 24. Let s(o) = -2*o**2 - 2*o + 12. Let b(f) = 4*l(f) - 9*s(f). Determine y so that b(y) = 0.
-6, 1
Let b(q) be the second derivative of 13*q**6/45 + 38*q**5/15 + 8*q**4 + 80*q**3/9 - 16*q**2/3 - 76*q. Find y such that b(y) = 0.
-2, 2/13
Let r be (580/(-80))/((-2)/8). Factor r*d - 4*d**5 + 2*d**4 + 2*d**5 - 29*d.
-2*d**4*(d - 1)
Let w be 3/(-2)*(-14)/3. Let y = w + -5. Determine u, given that 0*u**4 - 7*u**3 + y*u**4 + 3*u**3 + 0*u**3 = 0.
0, 2
Let d = 17 - 14. What is m in -m**3 + 3*m**d - 21*m**2 + 3*m**2 = 0?
0, 9
Let j(z) be the first derivative of -z**7/210 + z**6/60 + z**5/60 - z**4/12 - 5*z**2 - 6. Let m(b) be the second derivative of j(b). Factor m(y).
-y*(y - 2)*(y - 1)*(y + 1)
Let c(b) be the first derivative of -b**7/7560 + b**5/360 - b**4/108 - 11*b**3/3 + 27. Let t(m) be the third derivative of c(m). Factor t(n).
-(n - 1)**2*(n + 2)/9
Let m(f) be the third derivative of -f**6/150 + 2*f**5/75 - f**4/30 - 41*f**2. Factor m(j).
-4*j*(j - 1)**2/5
Let c be (-80)/(-28) - ((-90)/(-