irst derivative of s(o). Factor g(i).
-2*i*(i - 1)/7
Let u(g) = 7*g**3 - 21*g**2 + 20*g + 58. Let h(z) = -8*z**3 + 20*z**2 - 20*z - 60. Let w(l) = -5*h(l) - 6*u(l). Find y, given that w(y) = 0.
-1, 2, 12
Let p be ((-2)/14 - -1)*98/21. Let u be 6/(-9) + p/18*3. Factor -1/4*r**4 + u + 1/4*r**2 - 1/4*r**5 + 1/4*r**3 + 0*r.
-r**2*(r - 1)*(r + 1)**2/4
Let b(q) be the third derivative of -1/120*q**6 - 1/10*q**5 - 1/6*q**4 + 1/672*q**8 - 3*q**2 + 1/140*q**7 + 0*q**3 + 0 + 0*q. Determine l, given that b(l) = 0.
-2, -1, 0, 2
Let j = 57 - 57. Suppose j = -6*a + 11*a. Factor -x - 9/2*x**3 + a + 7/2*x**2 - 1/2*x**5 + 5/2*x**4.
-x*(x - 2)*(x - 1)**3/2
Suppose -m - 4 = 2. Let h be (-7)/7 - m/2. Factor 2/5*o + 4/5 - 2/5*o**h.
-2*(o - 2)*(o + 1)/5
Let z(v) = -2*v + 39. Let c be z(-8). Factor -41*n - 26*n + c + 137 + 3*n**2 + 19*n.
3*(n - 8)**2
Let n(t) be the first derivative of -3*t**5 - 3/2*t**6 + 8*t**4 - 4*t**3 + 0*t + 0*t**2 + 17. Factor n(p).
-p**2*(p + 3)*(3*p - 2)**2
Let c(y) = -y**2 + y. Let m be c(3). Let g = 0 - m. Suppose -1 - 2 + 2*z**3 - 3 - g*z**2 + 6*z + 4 = 0. Calculate z.
1
Let n(r) be the second derivative of 5*r**7/42 + 7*r**6/3 + 73*r**5/4 + 215*r**4/3 + 440*r**3/3 + 160*r**2 + 140*r. Factor n(g).
5*(g + 1)**2*(g + 4)**3
Solve 40/3 + 38/3*i - 2/3*i**3 - 4/3*i**2 = 0 for i.
-5, -1, 4
Let y(z) = -z**4 - z**2 + z - 1. Let m(q) = -4*q**4 - 2*q**3 - 20*q**2 + 32*q - 18. Let j(b) = m(b) - 6*y(b). Factor j(f).
2*(f - 2)*(f - 1)**2*(f + 3)
Solve -60143*d**3 - 3*d**2 + 6*d**2 - d**4 + 60145*d**3 = 0 for d.
-1, 0, 3
Suppose 14*q = -64 + 92. Let c(w) be the third derivative of 23/60*w**5 + 0*w - 7/120*w**6 + 0 - 5/6*w**4 - 7*w**q + 2/3*w**3. Factor c(m).
-(m - 2)*(m - 1)*(7*m - 2)
Let f(g) be the second derivative of -g**5/60 + g**4/3 - 8*g**3/3 - g**2 + 10*g. Let j(o) be the first derivative of f(o). Let j(z) = 0. Calculate z.
4
Let c(u) = -5*u**3 + 9*u**2 + 26*u - 3. Let p(o) = 6*o**3 - 10*o**2 - 28*o + 4. Let n(x) = 4*c(x) + 3*p(x). Suppose n(m) = 0. Calculate m.
-2, 0, 5
Let k(x) be the third derivative of 0*x + 0 - 2/9*x**3 + 1/36*x**4 + 11*x**2 + 1/180*x**5 - 1/720*x**6. Factor k(h).
-(h - 2)**2*(h + 2)/6
Let a(p) be the third derivative of p**7/525 - p**6/75 + p**5/75 + p**4/15 - p**3/5 - 8*p**2 - 8*p. Factor a(o).
2*(o - 3)*(o - 1)**2*(o + 1)/5
Factor -1/3*p**2 - 1 + 4/3*p.
-(p - 3)*(p - 1)/3
Let w(r) = 23*r**2 - 13*r + 6. Let c(s) = 20*s**2 - 13*s + 6. Let z(a) = -6*c(a) + 5*w(a). Factor z(m).
-(m - 2)*(5*m - 3)
Let o(w) be the second derivative of -2*w**5/5 + w**4/2 + 2*w**3 - 5*w**2 + 40*w. Let o(a) = 0. Calculate a.
-5/4, 1
Let q(y) be the second derivative of y**7/147 - 7*y**6/15 + 52*y**5/7 + 1012*y**4/21 + 208*y**3/21 - 2704*y**2/7 - 1031*y. Solve q(f) = 0 for f.
-2, 1, 26
Let j(u) be the third derivative of 375*u**8/112 - 85*u**7/14 - 29*u**6/24 + 21*u**5/4 - 10*u**3/3 + 285*u**2 - 2*u. What is b in j(b) = 0?
-1/3, 2/5, 1
Let s(n) = 4*n**3 - 6*n**2 + 2*n - 3. Let x(o) = 81 + 6*o - o**3 - 89 + 12*o**3 - 17*o**2. Let y(b) = -8*s(b) + 3*x(b). Factor y(z).
z*(z - 2)*(z - 1)
Let j(n) be the first derivative of n**5/300 - n**4/120 - n**3/15 + 13*n**2/2 - 16. Let c(m) be the second derivative of j(m). Suppose c(y) = 0. What is y?
-1, 2
Let m = 168 - 165. Let d(l) be the third derivative of 2*l**2 + 1/60*l**5 + 0*l**m + 0 + 0*l - 1/48*l**4. Factor d(i).
i*(2*i - 1)/2
Let k(b) be the second derivative of 0 - 11*b + 0*b**2 + 0*b**3 - 5/12*b**4. Factor k(a).
-5*a**2
Suppose -2*n + 363 = -2*w + 75, -3*w + 2*n - 427 = 0. Let v = -693/5 - w. Let 0 - v*p + 2/5*p**3 + 0*p**2 = 0. What is p?
-1, 0, 1
Let a(z) be the first derivative of 2*z**3/33 + 35*z**2/11 + 68*z/11 - 20. Factor a(r).
2*(r + 1)*(r + 34)/11
Let a(c) be the first derivative of -c**4/22 + 4*c**3/11 - 9*c**2/11 + 86. Factor a(r).
-2*r*(r - 3)**2/11
Let z(c) = c + 10. Let a be z(-8). Suppose -5*f - 2*w + 9 = 0, 20 = 2*f - 2*w + 8. Factor 1/2 - 1/2*q**a - 1/2*q**f + 1/2*q.
-(q - 1)*(q + 1)**2/2
Let c = 823705/998754 - 3/17522. Let s = c - 3/19. What is o in -1/3*o**2 + 0*o - s*o**3 + 0 + o**4 = 0?
-1/3, 0, 1
Factor 2241162 - 29106*p - 2/11*p**3 + 126*p**2.
-2*(p - 231)**3/11
Let c(f) = -3*f**4 + 3*f**3 + 2*f - 2. Let v(g) = 4*g**4 - 4*g**3 - 3*g + 3. Let b be -6*4/(-8)*1. Let h(m) = b*c(m) + 2*v(m). Solve h(u) = 0 for u.
0, 1
Let t(o) be the first derivative of -6 + 0*o + 0*o**4 + 0*o**3 - 7/2*o**2 - 1/30*o**5 + 1/60*o**6. Let h(n) be the second derivative of t(n). Factor h(v).
2*v**2*(v - 1)
Let k(t) = 2*t**2 + t - 1. Let p be k(1). Suppose -3*x = 2*x + p*o - 24, -3*o = -6. Factor -3/5*g**x - 3/5*g**5 + 0 + 9/5*g**3 + 3*g**2 + 6/5*g.
-3*g*(g - 2)*(g + 1)**3/5
Let s(c) be the first derivative of -15309*c**4/32 - 1107*c**3/4 - 183*c**2/4 - 3*c + 57. Factor s(l).
-3*(7*l + 2)*(27*l + 2)**2/8
Let m(r) be the third derivative of 0 + 0*r + 0*r**3 - 1/525*r**7 - 1/30*r**4 + 23*r**2 + 2/75*r**5 + 1/1680*r**8 - 1/200*r**6. Factor m(c).
c*(c - 2)*(c - 1)**2*(c + 2)/5
Let g(j) be the second derivative of j**6/10 + 3*j**5/10 - 2*j**4 - 9*j**3 - 27*j**2/2 - j + 15. Find h such that g(h) = 0.
-3, -1, 3
Factor -240*r**2 + 342*r - 43*r**3 + r**3 - 5*r**3 - 33 - 3*r**3 - 75.
-2*(r + 6)*(5*r - 3)**2
Let p(q) = -2*q**3 - 23*q**2 + 69*q - 12. Let m be p(-14). Let 0*b + 0 + 2/11*b**3 - 8/11*b**m = 0. Calculate b.
0, 4
Let m(z) be the second derivative of 4/7*z**2 + 1/35*z**5 + 10/21*z**3 + 4/21*z**4 + 0 + 10*z. Factor m(g).
4*(g + 1)**2*(g + 2)/7
Factor -12*h**3 + 14*h + 4*h**4 - h - 4*h**2 - h + 0*h.
4*h*(h - 3)*(h - 1)*(h + 1)
Suppose -2*f - 4*k + 26 - 10 = 0, -7*f - k + 4 = 0. Find v, given that -12/7*v**3 + 0*v + 6/7*v**2 + f + 6/7*v**4 = 0.
0, 1
Let b be (4 - (-18)/(-4))/(4/32). Let o be (-1 - (-2)/8)/(b/16). Find v such that 2/11*v**o - 6/11*v**2 + 0 + 0*v = 0.
0, 3
Let g be (-5)/510*-17*(-6)/(-2). Let g*h**2 - 7/6*h**3 + 1/2*h**4 + 1/2*h - 1/3 = 0. What is h?
-2/3, 1
Let s(x) = x**2 - 17*x + 70. Let p be s(6). Let v(h) be the second derivative of 7*h + 14/3*h**3 - 7/5*h**5 + 0 - 49/30*h**6 + 15/4*h**p + 2*h**2. Factor v(n).
-(n - 1)*(n + 1)*(7*n + 2)**2
Let u(a) = -3*a**2 - 2*a - 5. Let c be u(3). Let y = 40 + c. Factor y*q + 2/5 + 8/5*q**2.
2*(q + 1)*(4*q + 1)/5
Suppose 3*z + 6 = 6*z. Suppose 3*d + 5*l = 22, 0 = -z*d + 3*d - 2*l. Factor -1 + d*x**2 - 5*x**4 - 1 + 3*x**4.
-2*(x - 1)**2*(x + 1)**2
Let k = 149/63 + -20/9. Let w(f) be the first derivative of -2/7*f**2 + 0*f + k*f**4 + 2/21*f**3 - 2/35*f**5 - 3. Suppose w(j) = 0. What is j?
-1, 0, 1, 2
Let 198/5*m + 2/5*m**3 + 162/5 + 38/5*m**2 = 0. What is m?
-9, -1
Let k(d) = -2*d**2 + d + 2. Let j(q) = -46*q**2 + 58*q - 20. Let m(r) = -2*j(r) + 44*k(r). Factor m(n).
4*(n - 16)*(n - 2)
Let l = 1/134 + 257/1474. Let r(p) be the first derivative of l*p**5 + 5/11*p**2 + 1/33*p**6 + 5 + 5/11*p**4 + 20/33*p**3 + 2/11*p. Factor r(i).
2*(i + 1)**5/11
Factor 3/2*g**3 + 1/2*g**4 + g**2 + 0 + 0*g.
g**2*(g + 1)*(g + 2)/2
Let s(d) be the first derivative of -1/22*d**4 - 8/11*d + 1 + 0*d**2 + 2/11*d**3. Let s(u) = 0. Calculate u.
-1, 2
Let t(c) be the first derivative of c**6/30 - c**5/15 - 5*c**4/6 - 2*c**3 + 13*c**2/2 + 10. Let j(b) be the second derivative of t(b). Solve j(a) = 0 for a.
-1, 3
Let 3/7*g**2 + 0 + 120/7*g = 0. What is g?
-40, 0
Let k = 18 + -1. Determine x so that 36*x**2 - 23*x**2 + 12*x - k*x**2 = 0.
0, 3
Let m be 1 - 5 - 66/10. Let g = 57/5 + m. Factor 4/5*u - 4/5*u**3 - 3/5*u**2 - 1/5*u**4 + g.
-(u - 1)*(u + 1)*(u + 2)**2/5
Let b(p) = p**2 - p. Let v(t) = 6*t**2 + 19*t. Let j(z) = -b(z) + v(z). Factor j(l).
5*l*(l + 4)
Let r(u) = -18*u**2 - 9*u + 48. Let x(s) = 10*s**2 + 4*s - 24. Let c(t) = -6*r(t) - 13*x(t). Factor c(f).
-2*(f + 1)*(11*f - 12)
Let h be 3*(4 + 581/(-147)). Let -2/7 - h*k + 1/7*k**3 + 2/7*k**2 = 0. Calculate k.
-2, -1, 1
Suppose -2 - 8 = -5*z. Let r(b) be the first derivative of -12/5*b**2 + 9/5*b - z + b**3. Solve r(c) = 0 for c.
3/5, 1
Factor 80*q**2 + 166954*q**3 + 1024 - 456*q - 166958*q**3 - 56*q.
-4*(q - 8)**2*(q - 4)
Let t = -11912/85 + 2464/17. Let -t + 15*z**3 - 18*z**2 - 108/5*z = 0. Calculate z.
-2/5, 2
Let b(d) be the second derivative of 0*d**2 + 0 + 1/40*d**5 + 0*d**4 + 6*d - 1/12*d**3. Factor b(a).
a*(a - 1)*(a + 1)/2
Let v(b) be the first derivative of -b**5/30 + b**4/3 - b**3 - b**2/2 + 11. Let n(h) be the