+ 10*h**3 - 12*h + 2*h**4 + 48*h - 21*h**2 - 27*h**2 - 3*h**4 = 0. Calculate h.
0, 3, 4
Let x(r) be the second derivative of -r**5/3 + 5*r**4/4 + 25*r**3/3 - 20*r**2/3 - r - 35. Factor x(p).
-5*(p - 4)*(p + 2)*(4*p - 1)/3
Let z be (-9)/(-12) + (14 - (6 - -8)). Determine o so that 3/4*o**3 + 0*o + 0 + 3/4*o**4 - z*o**5 - 3/4*o**2 = 0.
-1, 0, 1
Let y(b) = b**2 + 5*b - 32. Let w be y(-9). Suppose 0 = -2*o - g + 4, -o = w*o + g - 10. Let 2/9*t**o - 2/9*t - 4/9 = 0. Calculate t.
-1, 2
Let n be ((-6)/27)/1 - (-137)/9. Let f be 3/n - (-2)/(-10). Factor f + 3/4*s**2 - 3/4*s.
3*s*(s - 1)/4
Suppose 0 = -104*s + 106*s + 448. Let q be (-4 - 988/s) + 4/(-32). Factor 6/7*x**2 + 6/7*x**3 + 2/7*x**4 + q*x + 0.
2*x*(x + 1)**3/7
Let g(o) = -o**3 + 14*o - 2. Let x(s) = 3*s**3 - 2*s**2 - 43*s + 7. Let q(r) = 7*g(r) + 2*x(r). Factor q(z).
-z*(z - 2)*(z + 6)
Let l(m) be the second derivative of 35/12*m**4 - 5/6*m**3 + 13/6*m**6 + 0*m**2 + 0 - 10/21*m**7 - 15/4*m**5 + 7*m. Find j such that l(j) = 0.
0, 1/4, 1
Let k(c) = 7*c**3 + 62*c**2 + 52*c + 9. Let a(q) = 34*q**3 + 308*q**2 + 260*q + 42. Let u(d) = -3*a(d) + 14*k(d). Suppose u(h) = 0. Calculate h.
-13, -1, 0
Suppose -3*a**4 - 3*a**4 - 256*a + 10*a**5 - 54*a**3 - 50*a**2 + 244*a = 0. Calculate a.
-1, -2/5, 0, 3
Let l(m) = m**2 + 27*m + 50. Let n(d) = -3*d**2 - 81*d - 150. Let u(t) = 7*l(t) + 2*n(t). Determine r so that u(r) = 0.
-25, -2
Let y(v) be the third derivative of v**6/200 + 2*v**5/5 + 77*v**4/40 + 19*v**3/5 + 8*v**2 + 4. Determine i so that y(i) = 0.
-38, -1
Let z = -1046 - -1050. Let h(c) be the second derivative of 2*c + 0 - 3/5*c**2 + 1/3*c**3 - 1/30*c**z - 1/50*c**5. Suppose h(k) = 0. What is k?
-3, 1
Factor 0 + 1/2*r**4 + 5/2*r**3 + 0*r - 25*r**2.
r**2*(r - 5)*(r + 10)/2
Let z(s) = 190*s**2 - 6560*s - 537906. Let m(h) = 41*h**2 - 1312*h - 107581. Let g(o) = -14*m(o) + 3*z(o). Factor g(l).
-4*(l + 164)**2
Let v(f) be the third derivative of -f**7/35 - 7*f**6/40 - 3*f**5/20 + 62*f**2. Factor v(o).
-3*o**2*(o + 3)*(2*o + 1)
Let d(m) be the second derivative of m**7/1470 + m**6/315 - m**5/210 - m**4/21 - m**3/6 - 6*m. Let u(k) be the second derivative of d(k). Factor u(o).
4*(o - 1)*(o + 1)*(o + 2)/7
Determine p so that 3*p - 1/4*p**2 + 13/4 = 0.
-1, 13
Let p be 6*2/7 - (-4)/14. Solve -7*n**2 - 5*n + 7*n**p - 4 + 1 + 2*n**2 = 0.
-1/2, 3
Let b = 33/92 - 5/46. Let m(y) be the second derivative of 0 + 6*y - b*y**4 - 3/2*y**2 + y**3. Factor m(k).
-3*(k - 1)**2
Factor 7/2*x + x**2 - 7/2*x**3 - 1.
-(x - 1)*(x + 1)*(7*x - 2)/2
Let v(g) = -2*g**2 + 47*g + 75. Let w be v(25). Determine y so that w + 4/9*y**5 + 0*y + 0*y**4 + 8/9*y**2 - 4/3*y**3 = 0.
-2, 0, 1
Let p(m) = -17*m**4 - 68*m**3 + 56*m**2 + 35*m + 3. Let b(s) = -16*s**4 - 68*s**3 + 56*s**2 + 36*s + 4. Let a(w) = 3*b(w) - 4*p(w). Factor a(l).
4*l*(l - 1)*(l + 4)*(5*l + 2)
Let b(q) be the second derivative of -q**5/50 - 23*q**4/30 - 43*q**3/15 - 21*q**2/5 + 2*q + 26. Let b(r) = 0. Calculate r.
-21, -1
Let r be (-3)/(3/4) + 0. Let z(f) = 3*f**4 + 4*f**3 - 2*f - 1. Let a(q) = 12 + 4*q**4 + 6*q**4 - 6*q - 15 + 13*q**3. Let m(j) = r*a(j) + 14*z(j). Factor m(x).
2*(x - 1)*(x + 1)**3
Let t(p) = 12*p**3 + 24*p**2 + 19*p - 7. Let c(z) = 168*z**3 - 8*z**2 + 1 + 1 - 6*z - 172*z**3. Let v(k) = -7*c(k) - 2*t(k). Factor v(f).
4*f*(f + 1)**2
Suppose -13/4*b**2 + 0 + 1/2*b**3 - 7/4*b = 0. Calculate b.
-1/2, 0, 7
Find v, given that -3/2*v**2 + 1/3*v + 0 + 5/3*v**3 = 0.
0, 2/5, 1/2
Suppose -5*v - 19*q + 15 = -23*q, 5*q - 25 = 0. Let l(d) = -19*d + 135. Let y be l(v). Factor 0*g + 3/4*g**y + 0 - 3/8*g**3.
-3*g**2*(g - 2)/8
Let u(f) be the first derivative of f**5/5 + 5*f**4/3 + 14*f**3/3 + 6*f**2 + 46*f + 1. Let r(b) be the first derivative of u(b). Factor r(h).
4*(h + 1)**2*(h + 3)
Let x = -89 + 99. Let z be 37/x + (-10)/20. Factor -2/5*w**3 + 8/5 + 2*w**2 - z*w.
-2*(w - 2)**2*(w - 1)/5
Let w(x) be the second derivative of 10*x**2 + 0 + 0*x**3 - 5/12*x**4 - 47*x. Solve w(u) = 0.
-2, 2
Suppose 8*n + 2*n = 150. Let a(f) = f**2 - 15*f + 2. Let p be a(n). Solve -1/6*v**3 + 0*v + 0 - 1/6*v**p = 0.
-1, 0
Let y(i) be the third derivative of -i**5/20 - 3*i**4/4 - 4*i**3 - i**2. Factor y(w).
-3*(w + 2)*(w + 4)
Suppose -2*g - 14 = -5*g - l, -4*g - 3*l + 12 = 0. Suppose g*r + 11 - 29 = 0. Factor 0*m - 3/5*m**2 + 4/5 + 1/5*m**r.
(m - 2)**2*(m + 1)/5
Let c be 625/(-7500)*(2 - (2 + 3)). Factor -1/4*n**2 + 1 + c*n**3 - n.
(n - 2)*(n - 1)*(n + 2)/4
Determine v, given that 29/2*v**2 - 26*v**3 + 7/2*v + 153/2*v**5 - 1/4 - 273/4*v**4 = 0.
-1/3, 1/17, 1/2, 1
Suppose -2*l - 20 = -3*o, 3*o - 5*o + 12 = -2*l. Let -3/2*m**5 - 2*m**4 + 0 + 0*m + 13/2*m**3 - 3*m**l = 0. Calculate m.
-3, 0, 2/3, 1
Let m = 7 + 2. Suppose -3*f - 15 = -8*f. Factor -m*v**3 - 6*v**5 + 9*v**4 + 0*v**f + 3*v**2 + 3*v**5 + 0*v**3.
-3*v**2*(v - 1)**3
Let x(r) be the first derivative of 2*r**3/33 + 28*r**2/11 + 104*r/11 + 297. Factor x(q).
2*(q + 2)*(q + 26)/11
Factor 488/9*k - 2/9*k**2 - 29768/9.
-2*(k - 122)**2/9
Let t(k) be the second derivative of -k**5/45 + k**4/3 - 40*k**3/27 + 8*k**2/3 + 6*k. Factor t(r).
-4*(r - 6)*(r - 2)*(r - 1)/9
Let j(s) be the third derivative of -s**6/1080 + s**5/30 - s**4/2 - 16*s**3/3 + 11*s**2. Let p(x) be the first derivative of j(x). Factor p(h).
-(h - 6)**2/3
Let a(q) be the third derivative of -q**10/7560 - q**9/1890 + q**7/315 + q**6/180 - 3*q**4/4 - 12*q**2. Let g(f) be the second derivative of a(f). Factor g(b).
-4*b*(b - 1)*(b + 1)**3
Suppose -44 = -98*c + 446. Let o(w) be the second derivative of -1/50*w**c + 1/15*w**3 - 1/30*w**4 + 1/5*w**2 + 0 + 13*w. What is b in o(b) = 0?
-1, 1
Let h(m) be the third derivative of -1/160*m**6 - m**2 + 0 + 0*m + 0*m**3 + 1/32*m**4 + 1/560*m**7 - 1/160*m**5. Find r, given that h(r) = 0.
-1, 0, 1, 2
Let i(u) be the first derivative of u**3/21 + 6*u**2/7 + 36*u/7 - 84. Factor i(r).
(r + 6)**2/7
Determine j so that 3/7*j**2 - 69/7*j + 18 = 0.
2, 21
Let u(i) = 2*i**3 - 30 - 38 + 69. Let y(a) = -2*a**3 + 6*a**2 - 12*a - 18. Let g(z) = -2*u(z) - y(z). Factor g(o).
-2*(o - 2)*(o + 1)*(o + 4)
Let w(z) = z - 1. Let g(h) = 4*h**3 - 32*h**2 + 32*h - 10. Let l(c) = 4*g(c) - 12*w(c). Solve l(i) = 0 for i.
1/2, 7
Factor 300*p**3 - 2*p**4 - 11*p**2 + 14*p**2 + 15*p**2 - 10*p - 306*p**3.
-2*p*(p - 1)**2*(p + 5)
Let i = -6 + 8. Suppose i*a + a = 12. Factor -6*w - w**4 - w**a + 6*w + 2*w**3.
-2*w**3*(w - 1)
Let o(s) be the first derivative of 0*s - 16/15*s**5 - 4 - 11/3*s**4 - 1/9*s**6 - 16/3*s**3 - 3*s**2. Solve o(v) = 0.
-3, -1, 0
Let h(v) be the second derivative of v**7/231 - v**6/55 - v**5/110 + 7*v**4/66 - 4*v**2/11 - v. Let h(x) = 0. Calculate x.
-1, 1, 2
Factor 0 - 18/5*y + 4/5*y**3 + 71/5*y**2.
y*(y + 18)*(4*y - 1)/5
Let h(u) be the second derivative of 0 + 1/105*u**7 + 0*u**4 + 1/30*u**6 + 0*u**3 + 0*u**5 + 5*u - u**2. Let b(k) be the first derivative of h(k). Factor b(q).
2*q**3*(q + 2)
Let d(v) be the second derivative of 11*v**5/10 - 3*v**4/2 - 8*v**3 - 4*v**2 + 487*v. Factor d(l).
2*(l - 2)*(l + 1)*(11*l + 2)
Let f be (-65)/(-26)*(-8)/((-640)/6). Let c(v) be the first derivative of -f*v**4 - 12*v - 9/4*v**3 - 9*v**2 - 1. Factor c(l).
-3*(l + 1)*(l + 4)**2/4
Let g(h) = 2*h**4 + 3*h**2 - 4*h - 3. Let c(w) = -5*w**4 + w**3 - 6*w**2 + 7*w + 5. Let v(k) = -3*c(k) - 7*g(k). Factor v(x).
(x - 3)*(x - 2)*(x + 1)**2
Let i(m) = -2*m**2 + 48*m - 74. Let n(b) = b + 1. Let h(q) = 2*i(q) + 28*n(q). Determine c, given that h(c) = 0.
1, 30
Suppose -4*s = -2*s. Let m(w) be the third derivative of 1/270*w**5 - 1/1512*w**8 + 0*w**3 + 0*w + 1/540*w**6 + 0*w**4 + s - 3*w**2 - 1/945*w**7. Factor m(x).
-2*x**2*(x - 1)*(x + 1)**2/9
Let g be 2/(-20)*((-2022)/294 + 7). Let v = g + 283/245. Factor -4*l**2 - v*l + 0.
-4*l*(7*l + 2)/7
Let b(f) = f**2 - f + 5. Let g be b(0). Suppose n - 45 = -4*n + g*c, 2*c - 7 = -3*n. Factor 11*o**2 - o**2 + 12*o**5 - 5*o - 10*o**4 - 7*o**n.
5*o*(o - 1)**3*(o + 1)
Let b(v) be the third derivative of v**6/1020 - 7*v**5/510 - 20*v**4/51 + 192*v**3/17 - 13*v**2 - 4*v. Determine o so that b(o) = 0.
-9, 8
Suppose 20*g = -43 + 83. Let k(n) be the second derivative of 0*n**2 + g*n**3 + 0 + 1/3*n**4 - 2*n. Factor k(b).
4*b*(b + 3)
Let g(y) = -y - 14. Let n be g(-6). Let a = n + 11. Suppose 12*p**a - 3*p**4 - 3*p**2 - 4*p**3 - 3*p + p = 0. Calculate p