w.
(w - 1)*(w + 1)
Find p such that 2*p - 4*p**2 - 1/3 + 8/3*p**3 = 0.
1/2
Find n such that -3920*n - 2254*n**3 - 251*n**2 - 29*n**2 + 2249*n**3 = 0.
-28, 0
Let p(c) be the third derivative of 0 - 1/140*c**5 + 13*c**2 + 1/14*c**3 - 1/280*c**6 + 1/56*c**4 + 0*c. Suppose p(f) = 0. Calculate f.
-1, 1
Let y be (-2 - -1) + 3/1. Let g(l) be the first derivative of 6*l + 2/3*l**3 + 2 - 4*l**y. Factor g(n).
2*(n - 3)*(n - 1)
Let k = 2163 - 8651/4. Factor -k*i**4 + 1/2*i + 0 - 5/4*i**2 + i**3.
-i*(i - 2)*(i - 1)**2/4
Suppose -3*i + 67 = -5*i - w, 0 = -w + 1. Let m = 34 + i. Factor -1/3*v + m + 1/3*v**2.
v*(v - 1)/3
Let h(i) = 46*i**3 + 65*i**2 - 17*i + 17. Let m(b) = 16*b**3 + 22*b**2 - 6*b + 6. Let z(w) = -6*h(w) + 17*m(w). Suppose z(r) = 0. Calculate r.
-4, 0
Let v(n) = 3*n**2 - 2*n**2 + 0*n**2. Let s(z) = 21*z**2 - 6*z - 9. Let t(a) = s(a) - 18*v(a). Factor t(c).
3*(c - 3)*(c + 1)
Let v(z) = -z**2 - 10*z - 19. Let f be v(-6). Find k, given that -96*k + 2*k**4 - 72*k**2 + 32*k**3 + 384 - f*k**4 - 2*k**3 = 0.
-2, 4
Let c = -3 + 6. Factor -r**2 + 3*r**4 - 2 + 11 - 9 - 4*r**c + 2*r.
r*(r - 1)**2*(3*r + 2)
Factor -993*y**2 + 20*y**3 + y**3 - 20*y + 56*y + 861*y**2.
3*y*(y - 6)*(7*y - 2)
Let o = 1550/9 - 172. Let v = 792 + -789. Factor 2/9*k + 0 + 2/9*k**4 - 2/9*k**2 - o*k**v.
2*k*(k - 1)**2*(k + 1)/9
Let i(h) be the first derivative of 3*h**5/20 - 9*h**4/16 - 15*h**3/4 + 57*h**2/8 + 45*h/2 - 260. Determine b so that i(b) = 0.
-3, -1, 2, 5
Let p(c) be the second derivative of 1/12*c**3 + 1/4*c**2 + 13*c + 1/96*c**4 + 0. Determine r, given that p(r) = 0.
-2
Find y, given that 0*y**2 + 0*y + 0 + 2/9*y**5 - 10/9*y**3 - 8/9*y**4 = 0.
-1, 0, 5
Let m(j) be the first derivative of -j**6/30 + j**5/3 - 2*j**4/3 - 31*j**2/2 + 39. Let k(o) be the second derivative of m(o). Factor k(f).
-4*f*(f - 4)*(f - 1)
Let a = 23845/12 + -1986. Let u(r) be the third derivative of -1/6*r**5 + 2*r**3 + 0*r - r**2 + 0 - a*r**4. Suppose u(l) = 0. What is l?
-3, 2/5
Suppose -2*m = 0, -3*r - 5*m + 12 = -m. Suppose -f + 3*f - 12 = t, f - r*t = 20. Factor 3*y**2 + 3/2 - 1/2*y**f + 0*y**3 - 4*y.
-(y - 1)**3*(y + 3)/2
Let o = 19 + -18. Let y = o - -1. Find j, given that -2*j**3 + 7*j + 8*j**y + 5*j**3 - 1 + 3 + 0*j**3 = 0.
-1, -2/3
Suppose 4*l - 9 - 3 = 0. Suppose 7*f - l*f - 12 = 0. Factor 3*v**4 + 6*v - v**4 - 4*v**f - 4*v + 10*v**3 + 6*v**2.
2*v*(v + 1)**3
Let y be 0/(-3) - (0 - 16/20). Find i such that 0*i**3 + 0 - y*i**4 + 0*i**2 + 0*i = 0.
0
Let v(q) be the first derivative of 1/5*q**3 + 6/5*q + 6 - 9/10*q**2. Factor v(l).
3*(l - 2)*(l - 1)/5
Let a = -7616 + 7618. Solve -3/4*h - 1/4*h**a - 1/2 = 0.
-2, -1
Let h(x) be the first derivative of -2*x**5/65 + 27*x**4/26 - 226*x**3/39 + 57*x**2/13 + 396*x/13 - 841. Suppose h(s) = 0. Calculate s.
-1, 3, 22
Factor 620*u + 28*u**2 + 500 + 149*u**2 + 30*u**3 + 68*u**2.
5*(u + 2)**2*(6*u + 25)
Let h(m) be the first derivative of -2*m**2 + 0*m - 19 - 1/3*m**3. Factor h(g).
-g*(g + 4)
Let i(z) be the first derivative of -324*z**5/5 + 198*z**4 - 304*z**3/3 + 16*z**2 - 11. Suppose i(l) = 0. Calculate l.
0, 2/9, 2
Let d(b) be the first derivative of -b**5/5 + 10*b**4 + 42*b**3 + 64*b**2 + 43*b - 251. What is a in d(a) = 0?
-1, 43
Suppose 9*j = 5*j + 12. Let 32*s**3 + 0*s**2 - 6*s - 29*s**j - s**2 + 4*s**2 = 0. Calculate s.
-2, 0, 1
Let v = 282 + -280. Let x(a) be the third derivative of 2/3*a**3 - 2/15*a**6 + 0*a + 1/2*a**4 - 2*a**v + 0 + 0*a**5. Suppose x(d) = 0. Calculate d.
-1/2, 1
Let d(q) be the third derivative of q**6/30 + 2*q**5/15 - 8*q**4/3 - 64*q**3/3 + 24*q**2. Factor d(n).
4*(n - 4)*(n + 2)*(n + 4)
Let k(t) be the second derivative of t**6/1260 - t**4/21 + 11*t**3/3 - 25*t. Let h(j) be the second derivative of k(j). What is g in h(g) = 0?
-2, 2
Let z(o) be the first derivative of -4/15*o**6 - 2 - 1/2*o**3 - 1/4*o**2 + o + 3/5*o**5 - 1/24*o**4. Let l(p) be the first derivative of z(p). Factor l(r).
-(r - 1)**2*(4*r + 1)**2/2
Let p(x) be the first derivative of x**3/24 + 17*x**2/16 + 2*x - 87. Find u, given that p(u) = 0.
-16, -1
Let h = -13 - -14. Let u be (h + -5)*21/(-14). Suppose 3 + 2*v**2 - u*v + 5*v**2 - 4*v**2 = 0. Calculate v.
1
Let a(t) be the first derivative of -t**5/210 + 4*t**4/21 - 64*t**3/21 - 14*t**2 - 38. Let x(r) be the second derivative of a(r). Factor x(q).
-2*(q - 8)**2/7
Suppose -2*y = -4*p - 18, 0 = -2*p - 3*p + 5*y - 30. Let k = 7 + p. Determine z so that -2*z**3 - 3*z**4 - 3*z**2 + 3*z - 3*z - k*z**3 = 0.
-1, 0
Let j(h) be the third derivative of 8*h**7/735 + 31*h**6/420 + 6*h**5/35 + 11*h**4/84 - 2*h**3/21 + h**2 - 173*h. Let j(d) = 0. Calculate d.
-2, -1, 1/8
Let z(u) = 23*u**3 + 36*u**2 + 14*u + 1. Let a be (-6)/(-9)*78/(-4). Let o(f) = -11*f**3 - 18*f**2 - 7*f. Let c(p) = a*o(p) - 6*z(p). Factor c(y).
(y + 1)*(y + 3)*(5*y - 2)
Let v(c) = -c**5 - c**4 - c - 1. Let b(s) = 5*s**2 + 6 + s**5 + 8*s**4 + 7*s**2 - 13*s**3 + 0*s**2 - 4 - 2*s. Let a(d) = -b(d) - 2*v(d). What is z in a(z) = 0?
0, 1, 2
Suppose -2*x + 3*c = 2 + 4, 0 = 2*x + c - 10. Find m, given that -17*m**2 + 3*m**2 - 54*m - 4*m**2 + 9 - 2*m**x - 63 = 0.
-3
Let x = -1141/44 + 420/11. Let y = x - 47/4. Factor y*z**2 - 1/2*z - 1.
(z - 2)*(z + 1)/2
Let -4*q**3 + 3*q**4 - 13*q**2 + 126*q - 4 - 132*q + 4 = 0. Calculate q.
-1, -2/3, 0, 3
Let h(v) = 5*v**2 + 6*v - 23. Let d(t) = 27*t**2 + 31*t - 116. Let f(a) = 2*d(a) - 11*h(a). Factor f(l).
-(l - 3)*(l + 7)
Let j(l) = -11*l**2 + 203*l + 207. Let g(u) = 5*u**2 - 101*u - 103. Let o(f) = -14*g(f) - 6*j(f). Determine t, given that o(t) = 0.
-1, 50
Let g(c) = -1391*c + 2. Let b be g(0). Let 5 + 7/2*y**3 - 9/2*y**b - 7/2*y - 1/2*y**4 = 0. What is y?
-1, 1, 2, 5
Let u = -457/180 - -148/45. Factor -5/4*c**2 + u*c + 1/4*c**3 + 0 + 1/4*c**4.
c*(c - 1)**2*(c + 3)/4
Let k(s) be the third derivative of -s**8/84 + 4*s**7/21 - 4*s**6/5 + 22*s**5/15 - 7*s**4/6 - 323*s**2. Factor k(c).
-4*c*(c - 7)*(c - 1)**3
Suppose 0 = -h + 4*l + l + 59, 4*h = -5*l + 236. Suppose -2*w = -3*z - 6*w + h, -3*z - 3*w + 63 = 0. Solve j**2 - 10*j**4 + z*j**4 - 16*j**4 = 0 for j.
-1, 0, 1
Suppose 2*q + 5*x = -24, -76*q + 77*q + 15 = -3*x. Factor -7/5*d**2 + 1/5*d**q - 1 + 11/5*d.
(d - 5)*(d - 1)**2/5
Suppose -1 + 55 = 2*j. Let o = j - 25. Factor 4/5*h - h**3 + 6/5*h**o - 8/5 + 1/5*h**4.
(h - 2)**3*(h + 1)/5
Let m be 6/4*(-4)/(-3). Factor 4 - 2*c**m - 1 + 4*c + 3*c**2.
(c + 1)*(c + 3)
Let d(k) be the third derivative of k**5/15 - 17*k**4/5 + 16*k**3/3 + 15*k**2 + k. Determine l so that d(l) = 0.
2/5, 20
Let g(m) be the first derivative of 16854*m**3/17 + 636*m**2/17 + 8*m/17 + 119. Find s, given that g(s) = 0.
-2/159
Let l = 265 - 265. Let t(w) be the second derivative of 1/4*w**4 + l*w**2 + 0*w**3 + 2*w + 0. Let t(a) = 0. What is a?
0
Let p(k) = k**2 + 2*k + 2. Let n be p(-3). Suppose -21*r**3 + 15*r**3 + n*r**2 + 4*r**2 + 2*r**4 - r**4 = 0. Calculate r.
0, 3
Let n(k) = -3*k**3 - 22*k**2 + 30*k - 5. Let t(a) = 2*a**3 + 10*a**2 - 15*a + 3. Let z(f) = -3*n(f) - 5*t(f). Factor z(v).
-v*(v - 15)*(v - 1)
Let z(p) be the first derivative of 28 - 1/5*p**2 + 0*p + 1/15*p**3 - 1/25*p**5 + 1/10*p**4. Solve z(a) = 0 for a.
-1, 0, 1, 2
Let r(y) be the third derivative of y**7/105 - y**5/5 + 2*y**4/3 - y**3 - 140*y**2. Factor r(t).
2*(t - 1)**3*(t + 3)
Let n(g) = 38*g**2 + 83*g - 53. Let x(s) = -13*s**2 - 28*s + 18. Let l(f) = -3*n(f) - 8*x(f). Factor l(m).
-5*(m + 3)*(2*m - 1)
Let q be (3 - 4) + -3 + 7. Let a be 0/((-143)/65 - 1/(-5)). Solve 0 + a*x**2 + 1/4*x**q - 1/4*x = 0 for x.
-1, 0, 1
Factor -12*o**2 + 0 - 3*o - 21/4*o**3.
-3*o*(o + 2)*(7*o + 2)/4
Let x = 605 - -649. Factor 1252*u**4 - x*u**4 - u + u**3 - 6*u**3 - 4*u**2.
-u*(u + 1)**2*(2*u + 1)
Let d(f) = f**2 - 8*f + 3. Let y be d(8). Suppose 4*c - 3*b - y = 13, 0 = c + 3*b - 4. Factor -2/3*g**c + 2/3*g**2 - 2/3*g**5 + 0*g + 0 + 2/3*g**3.
-2*g**2*(g - 1)*(g + 1)**2/3
Determine f, given that -5*f**2 - 29*f - 20 - 11*f + 10*f - 25 = 0.
-3
Let u(m) be the third derivative of 2401*m**5/15 - 98*m**4 + 24*m**3 - 677*m**2. What is i in u(i) = 0?
6/49
Let s be (2/12*-8)/((-4)/(-78)). Let v = s + 79/3. Solve 0 - 4/3*c**3 + v*c + c**2 = 0.
-1/4, 0, 1
Let b = -16845/7 - -2407. Factor b*j**2 - 20/7*j + 16/7.
4*(j - 4)*(j - 1)/7
Let q be 5/(-40) + 490/80. Let s(o) be the second derivative of 0 + 2/21*o**4 + 