tor -1/2*u**v - 18 - 6*u.
-(u + 6)**2/2
Let q(k) be the third derivative of -k**9/3780 + k**7/210 - k**6/90 + 17*k**4/24 - 8*k**2. Let j(z) be the second derivative of q(z). Factor j(f).
-4*f*(f - 1)**2*(f + 2)
Let w(r) be the first derivative of 1/6*r**3 + 13 - 1/24*r**4 - 1/3*r + 1/12*r**2 - 1/30*r**5. Determine z, given that w(z) = 0.
-2, -1, 1
Suppose -4*d + 10 = 2*x, 3*d - 2*d = -2*x + 7. Let m(s) be the first derivative of -2/3*s**x - 4*s**2 - 8*s + 5. Suppose m(j) = 0. What is j?
-2
Let n(f) be the first derivative of -16*f**5/15 + 35*f**4/6 - 8*f**3/9 - 35*f**2/3 + 8*f - 133. Determine d so that n(d) = 0.
-1, 3/8, 1, 4
What is b in 638167*b**3 + 12*b**4 - 16*b**2 - 638167*b**3 + 4*b**5 = 0?
-2, 0, 1
Let m(n) = 32*n**2 + 13*n + 5. Let g(a) = 33*a**2 + 16*a + 6. Let o(p) = -5*g(p) + 6*m(p). Factor o(d).
d*(27*d - 2)
What is y in -68*y**4 - 48*y**3 + 33*y + 13 + 56*y**4 + 15*y**5 + 6*y**2 - 7 = 0?
-1, -1/5, 1, 2
Let y = -388 - -392. Let c(w) be the second derivative of -1/8*w**y + 0 - 1/56*w**7 + 1/40*w**6 - 6*w + 3/8*w**2 + 3/40*w**5 - 1/8*w**3. Factor c(f).
-3*(f - 1)**3*(f + 1)**2/4
Let p = -547/4 - -150. Let 1 - p*i**2 + 27/4*i**4 - 2*i + 15/2*i**3 = 0. What is i?
-2, -1/3, 2/9, 1
Let y(h) be the second derivative of -5*h + 0 + 1/10*h**6 - h**3 - 3/4*h**4 + 0*h**5 + 0*h**2. Factor y(u).
3*u*(u - 2)*(u + 1)**2
Let w(v) be the third derivative of 9*v**5/100 - v**4/20 + 4*v**2 - 24*v. Let w(x) = 0. Calculate x.
0, 2/9
Determine y, given that 89*y - 36 - 139*y + 125*y + 3*y**4 - 3*y**3 - 39*y**2 = 0.
-4, 1, 3
Let i be (-68)/(-85) + 3/(-4). Let d(a) be the third derivative of -2*a**2 + i*a**5 + 0 - 1/2*a**3 + 0*a + 0*a**4. Let d(q) = 0. Calculate q.
-1, 1
Let z(l) be the first derivative of l**5/210 - l**4/21 + 4*l**3/21 + 15*l**2/2 + 4. Let r(u) be the second derivative of z(u). Let r(j) = 0. Calculate j.
2
Let h(s) be the third derivative of 4*s**7/525 - 9*s**6/50 + 3*s**5/5 + 184*s**4/15 - 128*s**3/5 - 55*s**2 - 2*s. Find y, given that h(y) = 0.
-3, 1/2, 8
Let s(d) be the third derivative of -6*d**2 + 1/60*d**6 - 1/12*d**4 + 0*d**3 + 0 + 0*d**5 + 0*d. Factor s(g).
2*g*(g - 1)*(g + 1)
Suppose -5 = 4*a + 5*s, -a = 5*s - 85 + 90. Factor 18/13*b**2 - 24/13*b**3 + 10/13*b**4 - 4/13*b + a.
2*b*(b - 1)**2*(5*b - 2)/13
Let m = -5 + 6. Let c = 3 - m. Solve -r + r**2 - 3*r + 5*r + 0*r**c = 0 for r.
-1, 0
Let q(y) be the first derivative of y**3/6 + 41*y**2/4 + 39*y + 760. Factor q(l).
(l + 2)*(l + 39)/2
Find b, given that 15*b**3 - 18*b**2 + 20*b**5 - 22*b**2 - 10*b**5 + 35*b**4 - 20*b = 0.
-2, -1/2, 0, 1
Let w(b) be the first derivative of -b**6/180 + b**4/12 - 3*b**3 - 6. Let p(g) be the third derivative of w(g). Suppose p(x) = 0. Calculate x.
-1, 1
Let m(o) be the second derivative of o + 46/3*o**3 + 0 + 12*o**2 + 7/3*o**4. What is g in m(g) = 0?
-3, -2/7
Let h(o) = o**4 + o**2. Let j(z) = 247*z**2 + 625*z**4 - 6*z + 13*z**2 + 4*z - 825*z**3 - 18*z. Let d(c) = 20*h(c) - j(c). Factor d(u).
-5*u*(u - 1)*(11*u - 2)**2
Let y(m) = 2*m**3 - 2*m - 1. Let b(f) = -252*f**4 - 3534*f**3 - 12556*f**2 - 570*f + 779. Let p(h) = -b(h) + 5*y(h). What is u in p(u) = 0?
-7, -2/7, 2/9
Let p(l) be the third derivative of l**8/2184 + l**7/455 - 2*l**5/195 + 380*l**2. Factor p(y).
2*y**2*(y - 1)*(y + 2)**2/13
Let t(v) = -v + 10. Let k be 3/(((-12)/32)/(-1)). Let i be t(k). Factor -3*x**2 + 4*x**2 + 4 + x**i + 6*x + 0*x**2.
2*(x + 1)*(x + 2)
What is m in -72/17*m - 648/17 - 2/17*m**2 = 0?
-18
Let w(p) be the second derivative of 5*p**4/48 + p**3/3 + 3*p**2/8 - 278*p - 1. Factor w(i).
(i + 1)*(5*i + 3)/4
Suppose 0 = 4*o + 10*o - 14. Let s be 8/10*(1 + o/(-2)). Factor 0 + 4/5*j**3 + 0*j**2 - s*j - 2/5*j**5 + 0*j**4.
-2*j*(j - 1)**2*(j + 1)**2/5
Let b(k) be the third derivative of 0 - 5/8*k**4 + 0*k**3 - 1/12*k**5 + 13*k**2 + 0*k. Let b(f) = 0. Calculate f.
-3, 0
Let p(o) = -1. Let q(a) = a**2 - 6*a + 13. Let x(u) = 4*p(u) + q(u). Let s be x(6). Factor 11*k**4 + 27*k**2 + 6*k + s*k**4 - 5*k**4 + 36*k**3.
3*k*(k + 1)**2*(5*k + 2)
Let x(o) be the first derivative of -36 + 0*o - o**4 + 2*o**2 + 4/5*o**5 - 4/3*o**3. Factor x(d).
4*d*(d - 1)**2*(d + 1)
Let i = -4 - -8. Suppose -10*j + i = -26. Suppose -8/5*s**j - 2/5*s**2 + 0 - 8/5*s**4 + 0*s = 0. What is s?
-1/2, 0
Let b(l) be the first derivative of l**7/70 + l**2/2 + 5*l - 9. Let a(z) be the second derivative of b(z). Solve a(r) = 0 for r.
0
Let x(v) be the second derivative of -v**6 + 3*v**5/20 + 3*v**4 - v**3/2 - 3*v**2 - v - 11. Suppose x(i) = 0. Calculate i.
-1, -2/5, 1/2, 1
Let r(o) be the third derivative of o**5/600 - 3*o**4/80 - o**3/6 - 52*o**2. Solve r(k) = 0.
-1, 10
Let t(g) be the first derivative of -g**4/2 + 10*g**3/3 - 7*g**2 + 6*g + 9. Factor t(l).
-2*(l - 3)*(l - 1)**2
Let g = 140695/44 + -3196. Let t = 3/22 + g. Suppose 1/2*y**4 + t*y - 1/2 - 2*y**2 - 1/4*y**5 + 1/2*y**3 = 0. What is y?
-2, 1
Let j = -76 + 77. Let v be -6 - (j + (-320)/45). Factor v*d**2 + 2/3*d + 1.
(d + 3)**2/9
Let s(d) be the third derivative of 5*d**8/336 - d**7/42 - d**6/4 - 102*d**2 - d. Suppose s(z) = 0. What is z?
-2, 0, 3
Let i(y) be the third derivative of 0*y**3 - 1/112*y**8 - 1/10*y**7 + 0 - 3/5*y**5 - 12*y**2 + 0*y + 0*y**4 - 2/5*y**6. Factor i(m).
-3*m**2*(m + 2)**2*(m + 3)
Let d = -287 - -293. Let c(s) be the third derivative of 7*s**2 - 1/120*s**d + 0 + 1/30*s**5 + 0*s**3 - 1/24*s**4 + 0*s. Factor c(z).
-z*(z - 1)**2
Solve -200 - 22/5*d**4 + 46*d**2 - 2/5*d**5 + 80*d - 38/5*d**3 = 0.
-5, 2
Let x(h) be the third derivative of h**8/3024 - h**7/126 + 37*h**6/540 - 11*h**5/45 + h**4/3 + 5*h**2 - 30*h. Suppose x(s) = 0. Calculate s.
0, 1, 2, 6
Let -52/3*y**2 + 0 - 50/3*y - 2/3*y**3 = 0. Calculate y.
-25, -1, 0
Factor 20*c**2 + 121*c + 10 + 101*c - 166 + 26*c.
4*(c + 13)*(5*c - 3)
Let u = 27481/15 - 1832. Let l(d) be the first derivative of u*d**3 + 0*d**2 - 1/50*d**5 - 6 + 0*d**4 - 1/10*d. Factor l(n).
-(n - 1)**2*(n + 1)**2/10
Let s(h) = 6*h**3 + 12*h**2 - 37*h + 19. Let d(w) = -3*w**3 - 6*w**2 + 18*w - 9. Let n = 9 - 12. Let v(y) = n*s(y) - 5*d(y). Solve v(b) = 0 for b.
-4, 1
Let l(k) be the second derivative of k**4/66 - 19*k**3/33 - 20*k**2/11 + 301*k. Factor l(w).
2*(w - 20)*(w + 1)/11
Let h(c) be the first derivative of -2*c**3/3 - 80*c**2 + 125. Factor h(g).
-2*g*(g + 80)
Suppose -6*w - 164 = -8*w. Factor 15*x**2 - 110*x**3 + w*x**3 - 12*x - 55*x**2.
-4*x*(x + 1)*(7*x + 3)
Let g = 121 - 116. Suppose g*j + j = -10*j. Find i, given that 4/7*i**2 - 2/7*i**4 + 0*i**3 + j*i - 2/7 = 0.
-1, 1
Find l, given that 17*l**3 - 3*l**2 + 14*l**3 - 33*l**3 - 5*l**2 - 6*l = 0.
-3, -1, 0
Let a(p) be the second derivative of 5*p**4/48 + 35*p**3/24 - 5*p**2 + 7*p. Factor a(l).
5*(l - 1)*(l + 8)/4
Let p(t) be the second derivative of 1/120*t**6 - 1/6*t**3 + 0*t**4 + 12*t + 0 + 0*t**2 + 3/80*t**5. Factor p(q).
q*(q - 1)*(q + 2)**2/4
Let o(n) be the third derivative of -n**6/40 + 7*n**5/5 + n**4/8 - 14*n**3 + n**2 - 19. Let o(c) = 0. Calculate c.
-1, 1, 28
Let a(j) be the second derivative of -j**5/20 + 47*j**4/4 - 840*j**3 + 2450*j**2 + 2*j + 329. Find w, given that a(w) = 0.
1, 70
Factor 0 + 5 + 36*q + 3 + 21*q**3 - 4 - 61*q**2.
(q - 2)*(q - 1)*(21*q + 2)
Let t(x) be the third derivative of -x**7/630 - x**6/45 - 13*x**4/24 + 25*x**2. Let q(s) be the second derivative of t(s). Suppose q(b) = 0. What is b?
-4, 0
Let k = 17 - 15. Factor 3*v**2 - 3*v**k - 4*v**3 - 3*v**2 - v**2.
-4*v**2*(v + 1)
Let k(f) = -2*f**3 + 6*f**2 + 2*f - 3. Let v be k(3). Factor o**3 - 15*o**5 + 6*o**4 + 2*o**v + 18*o**5.
3*o**3*(o + 1)**2
Let o(j) = j + 25. Let k be o(0). Suppose 0 = -2*r + t + 7, 7*t + k = 5*r + 2*t. Factor 2 + 36*f**2 + 1 + 12*f**r + 0 - 24*f.
3*(4*f - 1)**2
Let f(g) be the first derivative of 1/12*g**4 - 4/9*g**3 + 2/3*g**2 + 0*g - 5. Factor f(q).
q*(q - 2)**2/3
Let w(q) be the first derivative of 0*q + q**3 + 1/15*q**5 + 0*q**2 + 1/6*q**4 + 1/90*q**6 - 4. Let t(a) be the third derivative of w(a). Factor t(p).
4*(p + 1)**2
Let y(d) be the first derivative of d**3 + 1 + 2*d - 3/20*d**5 + 1/4*d**4 + 0*d**2. Let j(c) be the first derivative of y(c). Factor j(n).
-3*n*(n - 2)*(n + 1)
Let x(w) = -w**2. Let n(o) = 8*o**2 - 8*o**2 + 3 + 9*o**2 + 8*o - 2*o**2. Let a(g) = n(g) + 2*x(g). Factor a(r).
(r + 1)*(5*r + 3)
Let r(q) be the first derivative o