et -11*p + 12*p**5 - 27*p**3 + 17*p - 15*p**4 + 9*p**5 + 15*p**2 = 0. Calculate p.
-1, -2/7, 0, 1
Let a = -70 - -72. Suppose -2*l - j = l + 2, 0 = -j - 2. Factor -w**5 + 0*w**3 + l*w**3 - w**4 + w**3 + w**2 + 0*w**a.
-w**2*(w - 1)*(w + 1)**2
Factor -4/3*m + 2/15*m**2 - 26/5.
2*(m - 13)*(m + 3)/15
Let z(d) be the first derivative of -2*d**6/3 - 16*d**5/5 - 6*d**4 - 16*d**3/3 - 2*d**2 + 164. Suppose z(u) = 0. What is u?
-1, 0
Let i(s) = 3*s**2 - 26*s + 63. Let w(o) = 3*o**2 - 27*o + 63. Let u(g) = -3*i(g) + 4*w(g). Let u(v) = 0. Calculate v.
3, 7
Let h(x) be the first derivative of x**4/8 + x**3/2 - x**2 - 6*x - 80. Solve h(b) = 0 for b.
-3, -2, 2
Let n = 1/2454 + 19625/17178. Factor 6*r**3 - n*r - 16/7*r**2 + 0.
2*r*(3*r - 2)*(7*r + 2)/7
Suppose -m + 5*m + 8 = -4*a, 2*a + 8 = -3*m. Factor -r**4 + a*r**2 + 3*r + r**2 - 5*r.
-r*(r - 1)**2*(r + 2)
Let t be 3/(-2) + 22024/12208. Let o = -2/109 + t. Let -4/7*n**3 + o*n**4 + 0*n**2 - 2/7 + 4/7*n = 0. What is n?
-1, 1
Let p(o) be the second derivative of -2/3*o**4 + 0 + 0*o**3 + 2*o**2 + 0*o**5 + 2/15*o**6 + 12*o. Suppose p(t) = 0. What is t?
-1, 1
Let b(w) be the third derivative of -w**8/1680 + 3*w**7/350 - 4*w**6/75 + 14*w**5/75 - 2*w**4/5 + 8*w**3/15 - 2*w**2 - 5. Solve b(p) = 0 for p.
1, 2
Let v(n) = n**2 - 4*n - 92. Let w be v(12). Factor 0 - 2*p - 1/2*p**3 - w*p**2 + 3/2*p**4.
p*(p - 2)*(p + 1)*(3*p + 2)/2
Let v = 2249 - 2246. Let y(r) be the third derivative of 2/15*r**5 + 0*r + 0*r**v - 1/3*r**4 + 0 - 4*r**2 - 1/60*r**6. Let y(o) = 0. Calculate o.
0, 2
Let h(p) be the first derivative of 1/6*p**2 + 25 - 1/12*p**4 - 1/15*p**5 - 2/3*p + 1/3*p**3. Factor h(r).
-(r - 1)**2*(r + 1)*(r + 2)/3
Factor -27/2*w**3 - 25/4 + 5/4*w**4 - 45/2*w + 41*w**2.
(w - 5)**2*(w - 1)*(5*w + 1)/4
Let l = 77 - 55. Let s be -2*1*(-6)/l. Suppose -10/11*j + 4/11 - s*j**2 = 0. Calculate j.
-2, 1/3
Let r(u) be the third derivative of 0 + 0*u + 5/48*u**4 + 3/16*u**6 - 1/21*u**7 - 1/4*u**5 - 25*u**2 + 0*u**3. Factor r(m).
-5*m*(m - 1)**2*(4*m - 1)/2
Factor 11*a - 7*a + 9*a + 9*a**2 + a + 8*a - a**3.
-a*(a - 11)*(a + 2)
Let i(f) be the third derivative of -2*f**2 + 0*f + 0*f**5 + 1/24*f**3 + 1/48*f**4 - 1/240*f**6 - 1/840*f**7 + 0. Determine s, given that i(s) = 0.
-1, 1
Let b(t) be the first derivative of 3*t**4/16 - 3*t**3/4 - 15*t**2/4 - 81. Factor b(n).
3*n*(n - 5)*(n + 2)/4
Let z(i) be the second derivative of 25/12*i**4 + 19/20*i**5 + 2*i**2 + 0 + 10*i + 1/42*i**7 + 8/3*i**3 + 7/30*i**6. Factor z(n).
(n + 1)**3*(n + 2)**2
Let k(s) be the second derivative of s**5/120 - s**4/72 - 2*s**3/9 + s**2 - 9*s + 4. Let k(j) = 0. What is j?
-3, 2
Let g(p) = 5*p**2 - 1 - 1 - 4 - 7*p**2. Let m(o) = -2*o**2 + o - 5. Let r(n) = -3*g(n) + 4*m(n). Factor r(k).
-2*(k - 1)**2
Suppose 0 - 22/7*v**2 - 2/7*v**4 - 12/7*v**3 - 12/7*v = 0. What is v?
-3, -2, -1, 0
Let f be -12 + 132/(6 + 5). Determine t so that 1/3*t + 1/3*t**4 - 1/3*t**2 + f - 1/3*t**3 = 0.
-1, 0, 1
Let x(a) be the third derivative of 3*a**7/70 + 67*a**6/40 + 383*a**5/20 + 77*a**4/8 - 121*a**3 + 11*a**2 - 2*a. What is f in x(f) = 0?
-11, -1, 2/3
Factor -1/10*r**3 + 0 - 18/5*r + 6/5*r**2.
-r*(r - 6)**2/10
Let j(q) be the second derivative of q**2 + 7*q + 0*q**3 + 0 - 1/6*q**4. Factor j(y).
-2*(y - 1)*(y + 1)
Let q = -11 + -5. Let r = 19 + q. Factor r*v**2 + 6*v - 2*v**3 + 16*v**3 + 4 - 27*v**2.
2*(v - 1)**2*(7*v + 2)
Let x(h) be the first derivative of 0*h + 2/3*h**3 + 16 - 2/3*h**2 - 1/6*h**4. Factor x(n).
-2*n*(n - 2)*(n - 1)/3
Let f be (420/9)/(-14)*(-21)/35. Determine a, given that 24/7*a + 0 - 2/7*a**f = 0.
0, 12
Let r(o) be the second derivative of -o**7/42 + 14*o**6/15 - 131*o**5/10 + 77*o**4 - 363*o**3/2 - 17*o + 2. Factor r(i).
-i*(i - 11)**2*(i - 3)**2
Factor 0*v**2 + 1/4*v + 1/4*v**5 + 0 - 1/2*v**3 + 0*v**4.
v*(v - 1)**2*(v + 1)**2/4
Let a(v) be the third derivative of -v**5/240 - 3*v**4/16 - 4*v**3/3 + 59*v**2. Suppose a(w) = 0. What is w?
-16, -2
Let k be ((-10)/(-65) - 2/13)/1. Let h(c) be the third derivative of k*c + 0 + 1/24*c**5 + 5/3*c**3 - 5/12*c**4 + 6*c**2. Factor h(r).
5*(r - 2)**2/2
Let o be (-4)/(-8) + (-27)/(-2). Suppose 16*h**3 + h + o*h**4 - 7*h - 2*h - 2*h**4 - 20*h**2 = 0. Calculate h.
-2, -1/3, 0, 1
Let j be (-1 - (-4239)/3900) + (-1)/13. Let f(q) be the third derivative of -j*q**6 + 1/350*q**7 + 1/100*q**5 + 0*q**4 - 2*q**2 + 0 + 0*q**3 + 0*q. Factor f(d).
3*d**2*(d - 1)**2/5
Let o = 251556/628865 - 2/125773. Let y be 9/(-10)*4/(-6). Factor -o*r - 1/5*r**2 + y.
-(r - 1)*(r + 3)/5
Let n(r) = -r**3 - 6*r**2 - 13*r + 6. Let m(b) = -2*b**2 - 4*b + 2. Let v = 19 + -15. Let t(g) = v*n(g) - 14*m(g). Factor t(x).
-4*(x - 1)**2*(x + 1)
Let w(o) be the third derivative of o**5/270 + 11*o**4/108 - 318*o**2. Find a, given that w(a) = 0.
-11, 0
Let f(j) be the second derivative of 2/3*j**3 - 4/3*j**4 + 0*j**2 - 19*j + 7/30*j**6 + 1/4*j**5 + 0. Determine d so that f(d) = 0.
-2, 0, 2/7, 1
Let a = 25 - 26. Let s(i) = -i**2 - i. Let v(q) = -10*q**2 + 2*q. Let m(j) = a*v(j) + 6*s(j). Factor m(u).
4*u*(u - 2)
Let s = 4496 - 13486/3. Factor s*p**2 - 10/3*p + 8/3.
2*(p - 4)*(p - 1)/3
Factor 9/2 + 15/2*r - 3/2*r**3 + 3/2*r**2.
-3*(r - 3)*(r + 1)**2/2
Let l = -18988 - -18991. Solve -8/13*c**l + 22/13*c**2 + 0 - 2/13*c**4 - 12/13*c = 0.
-6, 0, 1
Let k = -160 - -160. Let a(o) be the third derivative of 0*o + 1/4*o**4 + 3/4*o**3 + 1/40*o**5 - 2*o**2 + k. Let a(j) = 0. What is j?
-3, -1
Let c(k) be the third derivative of 1/1365*k**7 + 0*k**3 + 0*k - 3*k**2 + 0*k**4 + 0*k**5 + 0 + 0*k**6. Factor c(f).
2*f**4/13
Let h(p) be the first derivative of 0*p**2 + 1/3*p**3 - 5 + 0*p + 0*p**5 + 0*p**4 + 1/840*p**6. Let r(f) be the third derivative of h(f). Factor r(c).
3*c**2/7
Let l(z) be the second derivative of 1/5*z**3 + 3/10*z**4 - 1/5*z**2 - 9*z + 1/10*z**5 + 0. Factor l(g).
2*(g + 1)**2*(5*g - 1)/5
Let s(z) = -11*z**3 + 29*z**2 - 80*z + 55. Let k(l) = -10*l**3 + 30*l**2 - 80*l + 54. Let y(c) = 7*k(c) - 6*s(c). Factor y(i).
-4*(i - 6)*(i - 2)*(i - 1)
Let f(u) be the first derivative of -2*u**3/21 + 76*u**2/7 - 2888*u/7 + 167. Suppose f(m) = 0. What is m?
38
Let q be (-5)/1*9126/(-30). Factor 3*r**3 + 46*r**2 + q*r - 16*r**2 + 6591 + 87*r**2.
3*(r + 13)**3
Let n(a) be the third derivative of a**5/210 - 25*a**3/21 - 267*a**2 + a. Suppose n(d) = 0. What is d?
-5, 5
Let x(p) be the second derivative of p**4/3 + 2*p**3/3 - 6*p + 6. Let x(w) = 0. What is w?
-1, 0
Let b(v) be the first derivative of 2/13*v + 8 + 14/39*v**3 - 16/39*v**6 + 23/26*v**4 - 16/65*v**5 - 7/13*v**2. Let b(z) = 0. Calculate z.
-1, 1/4, 1
Let y(l) be the first derivative of -l**5/4 + 5*l**4/3 + 9*l + 20. Let w(c) be the first derivative of y(c). Let w(u) = 0. What is u?
0, 4
Let z = -7388 - -36941/5. Factor 1/5*i + 1/5*i**2 - z - 1/5*i**3.
-(i - 1)**2*(i + 1)/5
Suppose 5/3*t**2 + 5/3 + 10/3*t = 0. What is t?
-1
Suppose -8*r - 7 - 17 = 0. Let j be (r/(-27))/(3/9). Factor 0 - 4/3*v**2 + j*v**3 + 4/3*v.
v*(v - 2)**2/3
Factor -8/3*h**3 - 26*h**2 - 52/3*h + 6.
-2*(h + 1)*(h + 9)*(4*h - 1)/3
Factor 14/9*t**3 + 0*t + 0 + 32/9*t**2 - 1/9*t**4.
-t**2*(t - 16)*(t + 2)/9
Let g(l) = -l**2 + l + 1. Let y(b) = -b**2 + 13*b + 15. Let o be y(14). Let m(d) = 6*d**2 + 9*d + 4. Let h(r) = o*m(r) + g(r). Determine s, given that h(s) = 0.
-1
Let m be (2 - 3)/(3/(-48)). Let d be -3*m/(-6) - 3. Factor -d*j + 4*j**2 + j + 0*j.
4*j*(j - 1)
Factor -17*i - 7 + 24*i - 8*i**2 + 59*i - 9.
-2*(i - 8)*(4*i - 1)
Let z(b) be the third derivative of -14*b**2 + 1/70*b**5 + 0*b**3 - 1/56*b**4 + 0*b + 0. Let z(u) = 0. Calculate u.
0, 1/2
Let a be (-1)/3 + 105/2565*19. Let m = -1 - -3. Solve -4/9*g**3 + 2/9*g**4 + 2/9*g + 2/9*g**5 + 2/9 - a*g**m = 0 for g.
-1, 1
Suppose 88 = -4*y + 96. Let l(p) be the first derivative of y*p**3 + 2 + 1/2*p**4 + 2*p + 3*p**2. Factor l(n).
2*(n + 1)**3
Let c be ((-672)/98 + 6)*28/(-27). Factor 0 - c*w + 2/9*w**2.
2*w*(w - 4)/9
Factor 0*o**3 + 8/11*o**2 - 2/11*o**4 + 0 + 0*o.
-2*o**2*(o - 2)*(o + 2)/11
Let m(y) = 2*y - 2*y**2 + y - 8 + y**2 + 5*y. Let b be m(7). Let k(n) = -3*n**2 - 4*n - 6. Let o(s) = s + 1. Let a(p) = b*k(p) - 6*o(p). Solve a(w) = 0 for w.
0, 2/3
Let s(m) be the first derivative of 0*m - 3/25*m**5 + 1/5*m**3 + 3/10*m**2 - 3/20*m**4 + 15. Factor s(c).
-3*c*(c - 1)*(c + 1)**2/5
Let x(n) = -n**2 - 