.
-2*(7*s - 2)*(9*s + 2)**2
Let t(w) be the third derivative of -1/12*w**5 - 10/3*w**3 + 0 + 5/6*w**4 + 0*w - 6*w**2. Factor t(f).
-5*(f - 2)**2
Let g(c) be the second derivative of 15*c**7/14 + 8*c**6/3 - 13*c**5/4 - 20*c**4/3 + 10*c**3/3 - 56*c + 3. Solve g(z) = 0.
-2, -1, 0, 2/9, 1
Let v(s) be the first derivative of s**6/4 - 7*s**5/5 + 11*s**4/4 - 2*s**3 - s**2/4 + s - 19. Determine t so that v(t) = 0.
-1/3, 1, 2
Let i(a) = 4*a**4 - 16*a**3 - 10*a**2 + 44*a - 22. Let o(g) = -8*g**4 + 34*g**3 + 19*g**2 - 88*g + 43. Let k(x) = -5*i(x) - 2*o(x). Factor k(n).
-4*(n - 3)*(n - 1)**2*(n + 2)
Let t(g) = -5*g**3 - 5*g**2 + 7. Let q(p) be the second derivative of -3*p**5/20 - p**4/4 + 2*p**2 - 20*p. Let a(u) = -7*q(u) + 4*t(u). Factor a(n).
n**2*(n + 1)
Let f(q) be the third derivative of 8*q**2 + 0 + 0*q + 0*q**6 + 1/12*q**4 - 1/15*q**5 + 2/105*q**7 - 1/168*q**8 + 0*q**3. Factor f(s).
-2*s*(s - 1)**3*(s + 1)
Let i(n) = -16*n**2 + 22*n - 8. Let a(s) = 24*s - 38*s + 32 - 73*s + 63*s**2. Suppose -17*l - 45 = -12*l. Let h(v) = l*i(v) - 2*a(v). Factor h(w).
2*(3*w - 2)**2
Let t be (3 + -15)/(-2 + 1) + -3. Factor -25 - t*z + 2*z**2 + 13*z + 19.
2*(z - 1)*(z + 3)
Let r be 3 - (0/2)/1. Suppose 8 = 4*c + 2*s, -4*c - 5*s + 11 - 3 = 0. Find f, given that -2/11*f**r + 0 + 2/11*f**c + 0*f = 0.
0, 1
Determine r so that -30/7*r - 69/7*r**2 + 0 + 15/7*r**3 = 0.
-2/5, 0, 5
Let p(f) be the third derivative of 0 + 1/30*f**5 + 0*f + 1/3*f**3 - 1/6*f**4 + 8*f**2. Find y such that p(y) = 0.
1
Let y(s) be the third derivative of -1/168*s**8 - 7*s**2 + 0*s**3 - 1/45*s**5 + 0 + 0*s + 1/180*s**6 + 4/315*s**7 + 0*s**4. Determine c, given that y(c) = 0.
-2/3, 0, 1
Let o = -56 + 86. Factor -24*t**2 + t**3 + 3*t**3 - 2*t**2 + 196*t - o*t**2.
4*t*(t - 7)**2
Let i be 3 + (-15)/(-25) - (-14)/35. Let f(n) be the first derivative of -11/20*n**i + 7 - 2/5*n**3 - 3/25*n**5 + 8/5*n + 6/5*n**2. Find l, given that f(l) = 0.
-2, -2/3, 1
Suppose 2*a - 4*m - 8 = 0, -5*a + 270*m = 273*m - 7. Determine y so that -1/5*y - 6/5 + 1/5*y**a = 0.
-2, 3
Let k = 26 + -24. Let q be (-1)/(1/(-2)) - (-1 - 0). Factor -1/2 + 3/2*i - 3/2*i**k + 1/2*i**q.
(i - 1)**3/2
Suppose 0 = -12*h - 9*h. Factor -15*q**2 + 0 + h*q - 3/5*q**4 - 6*q**3.
-3*q**2*(q + 5)**2/5
Let c(g) = 4*g**2 + 4*g + 9. Let h(z) = 2*z**2 + 2*z + 4. Suppose 4*y - 16 = -2*p + 8, 4*y = 4*p. Let x(f) = p*c(f) - 9*h(f). Find l, given that x(l) = 0.
-1, 0
Let x(z) be the second derivative of -1/35*z**5 - 1/14*z**4 + 1/105*z**6 + 4/21*z**3 + 0 + 4/7*z**2 - 4*z. Solve x(g) = 0.
-1, 2
Let y(q) be the first derivative of q**5/5 + 13*q**4/4 - 14*q**3/3 - 25. Factor y(c).
c**2*(c - 1)*(c + 14)
Let y(a) be the third derivative of -1/15*a**5 - 2/3*a**3 + 0*a - 1/3*a**4 - a**2 + 0. Factor y(q).
-4*(q + 1)**2
Let x(b) be the first derivative of b**4/16 - b**3/2 + 5*b**2/8 - 50. Factor x(m).
m*(m - 5)*(m - 1)/4
Factor 5/3*h - 8/3 - 1/6*h**2.
-(h - 8)*(h - 2)/6
Let y(r) be the third derivative of -r**7/280 + 11*r**6/160 - r**5/4 - r**4 + 661*r**2. Factor y(n).
-3*n*(n - 8)*(n - 4)*(n + 1)/4
Factor -502/9*l - 1/9*l**2 - 63001/9.
-(l + 251)**2/9
Factor 3/4*d**4 + 0*d**3 - 1/4*d**5 + 0 - d**2 + 0*d.
-d**2*(d - 2)**2*(d + 1)/4
Let o(v) = -1176*v + 1176*v - v**4. Let z(m) = 4*m**5 - 4*m**4 + 24*m**3 + 16*m**2 + 4*m. Let g(h) = -20*o(h) + z(h). Factor g(t).
4*t*(t + 1)**4
Let u = -1094 - -3283/3. Factor 0 - 1/6*l**5 + u*l**3 + 1/6*l**4 + 0*l**2 + 0*l.
-l**3*(l - 2)*(l + 1)/6
Find j such that 4/7*j**2 + 0 - 1/7*j**4 - 1/7*j**3 + 4/7*j = 0.
-2, -1, 0, 2
Let n(s) be the first derivative of s**4/7 - 16*s**3/7 - 32. Factor n(v).
4*v**2*(v - 12)/7
Let h(r) be the third derivative of -8*r**7/105 - 947*r**6/30 - 4977*r**5 - 1953433*r**4/6 + 986078*r**3/3 + 2*r**2 + 11. Find b, given that h(b) = 0.
-79, 1/4
Solve 8*n**2 - 59*n**3 - 2*n**5 + 7*n**5 + 55*n**3 - 8*n**4 - n**5 = 0 for n.
-1, 0, 1, 2
Let i(y) = 15*y**2 + 19250*y + 2646855. Let o(b) = -2*b**2 - 2750*b - 378122. Let c(h) = 3*i(h) + 20*o(h). Solve c(a) = 0 for a.
-275
What is m in 0*m**2 - 32/9 + 2/9*m**4 + 32/9*m - 8/9*m**3 = 0?
-2, 2
Suppose -4/3*i - 1 - 1/3*i**2 = 0. Calculate i.
-3, -1
Let d(c) be the third derivative of 0*c**4 - 1/14*c**7 - 2*c**2 + 0 - 17*c + 0*c**3 + 1/8*c**6 + 5/336*c**8 - 1/12*c**5. Factor d(i).
5*i**2*(i - 1)**3
Let m(f) be the first derivative of -2*f**5/45 - f**4/9 + 2*f**3/9 - 54. Determine q so that m(q) = 0.
-3, 0, 1
Let r(j) = -9*j**2 + 729*j + 53138. Let a(n) = -5*n**2 + 368*n + 26569. Let i(g) = 11*a(g) - 6*r(g). Factor i(f).
-(f + 163)**2
Let n = -33 - -36. Let r be ((-18)/42)/n - 50/(-56). Let -9/2*h + r*h**2 + 27/4 = 0. What is h?
3
Suppose 5*c + 5*o - 20 = 0, 2*c - o = -6*o + 20. Suppose 3*p = -4*i + 9, c*p - 2*i = -2*p + 6. Factor -1/5*v - 2/5*v**2 + 0 - 1/5*v**p.
-v*(v + 1)**2/5
Factor 0*z**2 + 3/2 - 9/4*z + 3/4*z**3.
3*(z - 1)**2*(z + 2)/4
Factor -10/23*j - 8/23 - 2/23*j**2.
-2*(j + 1)*(j + 4)/23
Factor 4/7*m + 2/7*m**4 + 10/7*m**2 + 0 + 8/7*m**3.
2*m*(m + 1)**2*(m + 2)/7
Factor 12*p + 1/3*p**3 + 0 + 4*p**2.
p*(p + 6)**2/3
Let n(r) be the first derivative of -r**3/3 - 3*r**2 - 9*r - 78. Factor n(o).
-(o + 3)**2
Let b = 7148 + -7146. Factor 0 - 1/4*o + 1/4*o**b.
o*(o - 1)/4
Let c(u) be the second derivative of -u**4/8 - 33*u**3 - 3267*u**2 - 9*u - 22. Factor c(m).
-3*(m + 66)**2/2
Let l(h) = 2*h**4 + 82*h**3 + 876*h**2 - 968*h - 4. Let a(j) = 2*j**4 + 83*j**3 + 877*j**2 - 968*j - 3. Let s(n) = -4*a(n) + 3*l(n). Let s(u) = 0. What is u?
-22, 0, 1
Let d(s) = -5. Let l(o) = -11. Let u(g) = 13*d(g) - 6*l(g). Let b(x) = 4*x**3 - 16*x**2 - 4*x + 24. Let y(a) = b(a) - 8*u(a). Factor y(n).
4*(n - 4)*(n - 1)*(n + 1)
Find a such that -4/7*a + 16/7 - 2/7*a**2 = 0.
-4, 2
Let i(t) be the second derivative of t**5/60 - 11*t**4/36 + 20*t**3/9 - 8*t**2 - 51*t. Factor i(l).
(l - 4)**2*(l - 3)/3
Suppose f = -5*x - 20, 4*x - 10*f + 45 = -5*f. Let h be (5 + x)*(-1 - -2)/(-1). Let -1/6*d + h*d**4 + 0 + 0*d**2 - 1/6*d**5 + 1/3*d**3 = 0. Calculate d.
-1, 0, 1
Suppose 4*y = 17 - 5. Suppose -y*x - 12 = -2*g - g, 4*g = 3*x + 15. Factor 4*o**3 + o**g - 5*o + 8*o**4 - 3*o**4 - o**4 - 1 - 3*o**2.
(o - 1)*(o + 1)**2*(4*o + 1)
Let w(g) = -g**2 + 10. Let n be w(0). Factor -45*o**4 + 5*o**3 - 29*o**3 + n*o**2 - 2 + 20*o - 36*o**3 - 3.
-5*(o + 1)**2*(3*o - 1)**2
Let j(d) be the third derivative of -d**8/1176 + d**7/245 - d**6/140 + d**5/210 + 9*d**2 - 9. Find n, given that j(n) = 0.
0, 1
Factor 45/2*w - 27 - 9/2*w**2 + 1/6*w**4 - 1/2*w**3.
(w - 3)**3*(w + 6)/6
Let z(y) = 18*y - 13. Let r be z(7). Solve 58*q**3 - r*q**3 + 0*q**2 + 0*q**2 - 10*q**2 + 55*q**5 + 10*q**4 = 0 for q.
-1, -2/11, 0, 1
Let b be -5 - (0 + 104/(-20)). What is s in 0 + 0*s + s**4 + 3/5*s**5 - b*s**2 + 1/5*s**3 = 0?
-1, 0, 1/3
Let s = -176 + 181. Suppose -3*m + s*b = b - 25, 3*b = -12. Factor -3/2*q**2 + 5/2*q**m - 6*q - 2.
(q - 2)*(q + 1)*(5*q + 2)/2
Suppose 0 = 2*v - 4, r + 2*r + v - 8 = 0. Let y(j) = -j**2 - 8*j + 12. Let w be y(-9). Factor -8*d + w*d**3 - r*d**2 + 2*d - d**2.
3*d*(d - 2)*(d + 1)
Let v = -7/120 + 557/1320. Suppose v + 2/11*r**2 + 6/11*r = 0. What is r?
-2, -1
Let k be 3 - 4546*(-6)/(-108). Let i = k + 250. Factor -2/3*o**2 - i*o + 0.
-2*o*(3*o + 2)/9
Factor 0 - 2/5*a + 2/5*a**4 + 2/5*a**3 - 2/5*a**2.
2*a*(a - 1)*(a + 1)**2/5
Let l(r) = 5*r**3 - 37*r**2 + 137*r - 103. Let m(n) = -16*n**3 + 110*n**2 - 409*n + 308. Let f(v) = 7*l(v) + 2*m(v). Suppose f(d) = 0. What is d?
1, 5, 7
Let f(j) be the second derivative of 30*j**3 + 0 - 12*j**2 + 147/20*j**5 + 15*j - 63/2*j**4. Find d, given that f(d) = 0.
2/7, 2
Let r(t) = -2*t**3 - t**2 + 10*t - 5. Let b(c) = 6*c**3 + 4*c**2 - 32*c + 16. Let a(v) = -5*b(v) - 16*r(v). Factor a(i).
2*i**2*(i - 2)
Let w(g) = -g**5 + g**4 + g**3 - g + 1. Let m(u) = -4*u**5 + 14*u**4 - 14*u**3 - 4*u**2 + 16*u - 6. Let h(b) = 2*m(b) - 4*w(b). Factor h(p).
-4*(p - 4)*(p - 1)**3*(p + 1)
Let v be 21/14*8/3. Suppose u + 4 = 0, -2*y + 30 = v*u - 9*u. Factor 5*j**2 + 3*j**3 - y*j**2 - 5*j**5 + 2*j**3.
-5*j**3*(j - 1)*(j + 1)
Factor 5/11*b**3 - 4/11*b + 6/11*b**2 + 1/11*b**4 - 8/11.
(b - 1)*(b + 2)**3/11
Let g(v) = -2*v**3 + 2*v**2 + v. Suppose -3*a + 0*a - 3 = -3*i, 5 = -3*i - a. Let b be g(i). Suppose 4*l - b*l - 7*l + 3*l**2 = 0. Calculate l.
0, 2
Suppose 0 = -24*n + 2 + 118. Let x(y) be the first