d derivative of -125*s**7/28 - 115*s**6/4 - 297*s**5/4 - 189*s**4/2 - 54*s**3 - 48*s. Factor d(b).
-3*b*(b + 1)*(5*b + 6)**3/2
Suppose -122*f + 115*f = -21. Factor 0 + 2/5*v**f + 0*v + 0*v**2 + 2/5*v**4.
2*v**3*(v + 1)/5
Let d be 1 + 10/(-40)*(3 + -1). What is t in -1/2*t**3 - d*t**2 + 1/2*t + 1/2 = 0?
-1, 1
Let d = -793/36 - -89/4. Factor 2/3*x - d*x**2 - 4/9.
-2*(x - 2)*(x - 1)/9
Suppose -3*b = -4*p - 6*b + 17, 4*p - 2 = 2*b. What is n in -1/7*n**3 + 0 - 2/7*n**p - 1/7*n = 0?
-1, 0
Let b(j) = -j**5 - 1. Let r(z) = -8*z**5 - 2*z**4 - z**3 + 2*z**2 - 9. Let d(o) = 18*b(o) - 2*r(o). Find l such that d(l) = 0.
-1, 0, 1, 2
Factor -3*v**2 + 3 - 6 - 3*v + 3.
-3*v*(v + 1)
Factor -93*d**2 - 5*d**3 + 199*d**2 - 61*d**2.
-5*d**2*(d - 9)
Let t(f) be the second derivative of -f**6/180 - f**5/10 - 3*f**4/4 - f**3 - 6*f. Let y(w) be the second derivative of t(w). Suppose y(g) = 0. What is g?
-3
Suppose 0*o = -5*o + 25. Let m(n) be the second derivative of 0*n**3 + 9/10*n**o + 7/15*n**6 + 0 + 1/3*n**4 + 0*n**2 - 3*n. Solve m(k) = 0 for k.
-1, -2/7, 0
Let p be 6/(-3) + 21/3. Factor 10*j - 7*j - p*j - 2*j**2.
-2*j*(j + 1)
Let j be (-3)/(-12) - ((-33)/12)/1. Find s, given that -6/7 + 15/7*s**5 - 27/7*s - 30/7*s**2 + 36/7*s**4 + 12/7*s**j = 0.
-1, -2/5, 1
Determine v, given that -14*v**5 + 0*v - 8*v + 36*v**2 - 21*v**3 - 36*v**4 + v**3 + 42*v**5 = 0.
-1, 0, 2/7, 1
Let p(a) be the first derivative of 7/6*a**6 + 2/3*a**3 + 0*a + 16/5*a**5 - 3 + 11/4*a**4 + 0*a**2. Factor p(j).
j**2*(j + 1)**2*(7*j + 2)
Suppose -3*t - 18 = -3*x, 4*x - 27 = 5*t - 0. Factor 1/4*l**2 + 0*l + 0*l**x + 0 - 1/4*l**4.
-l**2*(l - 1)*(l + 1)/4
Let o(m) = -26*m - 10. Let d be o(-7). Let x = -335/2 + d. Determine i, given that i + x*i**2 + 0 + 7/2*i**3 = 0.
-1, -2/7, 0
Let q(h) be the second derivative of 2*h**4/15 + 53*h**3/15 + 13*h**2/5 + 16*h + 2. Suppose q(g) = 0. Calculate g.
-13, -1/4
Let k = -7 + 12. Factor -k*n + 2 + 4*n**2 + 2*n**3 - 6*n**3 + 3*n**3.
-(n - 2)*(n - 1)**2
Let m = 36 + -23. Factor -5*k - 5 + 3 + m*k - 2*k**2 - 6.
-2*(k - 2)**2
Factor 4/5*h**2 + 64/5 - 32/5*h.
4*(h - 4)**2/5
Let l be 0 - (0/(-3) + (-4)/12). Let -1/3*a**2 + 2/3 + l*a = 0. What is a?
-1, 2
Factor 4/9 - 2/9*o**2 + 2/9*o.
-2*(o - 2)*(o + 1)/9
Let n(a) be the first derivative of -a**4/3 - 4*a**3 - 16*a**2 - 64*a/3 + 2. Determine z so that n(z) = 0.
-4, -1
Factor 0*o**2 + 0 + 0*o - 1/2*o**3 + 2/3*o**4 - 1/6*o**5.
-o**3*(o - 3)*(o - 1)/6
Suppose -540*g + 539*g + 3 = 0. Let -23/4*x**2 + 21/4*x**4 + 1/4*x**g + 1/2 - 1/4*x = 0. Calculate x.
-1, -1/3, 2/7, 1
Let s(d) = d**2 - d - 2. Let b(z) = 3*z + 18 - 22 + 9 - 2*z**2. Let h(m) = -3*b(m) - 7*s(m). Find u, given that h(u) = 0.
-1
Let b(f) be the second derivative of -f**6/15 + f**5/10 + f**4/2 - f**3/3 - 2*f**2 + 19*f. Find z, given that b(z) = 0.
-1, 1, 2
Factor 16/3*h**4 + 49/3*h + 8/3*h**3 - 103/3*h**2 - 2.
(h - 2)*(h + 3)*(4*h - 1)**2/3
Let j(n) = -n**4 - 3*n**3 + 2*n**2 + 6*n - 2. Let o(l) = -l**4 - 3*l**3 + 3*l**2 + 7*l - 3. Let d(r) = -3*j(r) + 2*o(r). Solve d(s) = 0.
-2, 0, 1
Let o = 35/6 - 16/3. Suppose o*u**3 + 1/2*u**5 + 0 + 0*u**2 + u**4 + 0*u = 0. What is u?
-1, 0
Let t(d) = 3 + d**2 - 4 + d - 3*d. Let w be t(-1). Let 2*u**2 + u**w - u**2 = 0. What is u?
0
Let r(k) be the third derivative of -k**5/120 + k**4/48 + 7*k**2. Solve r(n) = 0 for n.
0, 1
Let k(o) be the second derivative of 3*o**5/100 + o**4/20 - o**3/5 - 3*o. Factor k(q).
3*q*(q - 1)*(q + 2)/5
Suppose -2*r - r - 6 = 0, 18 = 2*d - 3*r. What is c in -d*c**2 - 4 + 2*c**3 + 9*c + c + 0*c**2 - 2*c**2 = 0?
1, 2
Let s be (-225)/63 - (-4)/7. Let m be 3/(-18)*s*0. Factor 2/7*z**2 + m*z - 2/7.
2*(z - 1)*(z + 1)/7
Let a(h) be the second derivative of h**5/10 - h**4/2 + h**3 - h**2 + 5*h. Find l, given that a(l) = 0.
1
Let w(h) be the third derivative of 0*h + 1/72*h**4 + 0*h**3 + 1/180*h**5 - 2*h**2 + 0 - 1/360*h**6 - 1/630*h**7. Solve w(d) = 0.
-1, 0, 1
Factor -16*d**3 - 8*d**2 + 13*d**3 - 33*d - 79*d**2 - 639*d - 588.
-3*(d + 1)*(d + 14)**2
Let r be (-4)/(-2 + 1 - 0). Let q(o) = o - 1. Let i be q(r). What is h in 7*h**3 + h - 2*h**3 - 2*h**2 - h**3 - i*h**3 = 0?
0, 1
Let z(s) = -s**2 - 10*s + 2. Let g be z(-10). Suppose 0 = 2*v - v - g. Suppose -4/5*k**3 + 2/5*k**5 + 0 + 2/5*k + 0*k**v + 0*k**4 = 0. What is k?
-1, 0, 1
Let u(t) = -t**3 - 29*t**2 - 29*t - 26. Let g be u(-28). Let z(l) be the first derivative of 3/4*l**2 + 0*l + g - 2*l**3. Determine y so that z(y) = 0.
0, 1/4
Let j be (-11)/(55/(-10)) - -1. Let u(x) be the third derivative of 0*x + 0 + 0*x**j + 1/180*x**6 + 0*x**5 + 2*x**2 - 1/36*x**4. Factor u(a).
2*a*(a - 1)*(a + 1)/3
Let z(a) = -3*a**2 - 8*a - 5. Suppose 0 = -5*r + r + 8. Let v(u) = 39*u**2 + 105*u + 66. Let b(y) = r*v(y) + 27*z(y). Factor b(w).
-3*(w + 1)**2
Let j(c) = 9*c**4 - 9*c**3 - 35*c**2 + c + 10. Let y(l) = 3*l**4 - 3*l**3 - 12*l**2 + 3. Let q(w) = 3*j(w) - 8*y(w). Let q(x) = 0. Calculate x.
-1, 1, 2
Let q(i) = i**3 - 2*i**2 + i - 2. Let l be q(2). Let y = -49 - -53. Determine v, given that 0*v**3 + 3/4*v**y + 1/2*v**5 + l + 0*v - 1/4*v**2 = 0.
-1, 0, 1/2
Suppose -3*m + 6*m = -3*g + 27, m - 5*g = -15. Factor 3*y**5 + 0*y**5 - 2*y**4 - 2*y**m + y**5.
2*y**4*(y - 1)
Let o = 1/2528 + 50503/144096. Let c = 6/19 + o. Factor 0 + c*d - 2/3*d**2.
-2*d*(d - 1)/3
Let q(i) be the third derivative of 3*i**2 + 0*i + 1/12*i**4 + 0 + 1/3*i**3 + 1/120*i**5. Factor q(y).
(y + 2)**2/2
Let h(k) be the third derivative of k**6/30 - 2*k**5/5 + 5*k**4/6 - k**2 + 16. Factor h(u).
4*u*(u - 5)*(u - 1)
Suppose -2/5*c**4 + 2/5*c**3 - 1/5*c - 1/5*c**5 - 2/5 + 4/5*c**2 = 0. What is c?
-2, -1, 1
Let v(q) = -q - 11. Let f be 230/(-18) - 10/45. Let k be v(f). Factor 0*l**3 - 3/2*l**5 + 0*l**k + 0 + 0*l - 3/2*l**4.
-3*l**4*(l + 1)/2
Let b be 2/9 + (-14)/63. Let c(k) be the first derivative of 0*k + b*k**2 + 2 + 2/5*k**4 + 6/25*k**5 + 2/15*k**3. Factor c(d).
2*d**2*(d + 1)*(3*d + 1)/5
Let d be 0*(0 - 4/(-12)). Factor d + 1/2*i + 1/2*i**2.
i*(i + 1)/2
Let r = 13/22 + -1/11. Suppose -r*y**3 + 0*y**2 - 1 + 3/2*y = 0. Calculate y.
-2, 1
Let y = -2/443 + 1782/2215. Factor -2/5*r**2 - 2/5 + y*r.
-2*(r - 1)**2/5
Determine p, given that 2/11 + 2/11*p**2 + 4/11*p = 0.
-1
Let g = 2/13 - -16/65. Let 8/5*h - 8/5 - g*h**2 = 0. Calculate h.
2
Let g(o) be the first derivative of -5 + 2*o - 2*o**2 + 2/3*o**3. Solve g(v) = 0.
1
Let s be 6*1/2 + 1. Suppose 3*f + 22 = 4*a - 2*f, -2*a + 4*f = -14. Factor 5*l**3 - a*l**3 + 2*l**3 + 2*l**s.
2*l**3*(l + 2)
Let w(j) = 3*j + 3. Let r be w(3). Let o = r + -12. Solve o - 1/3*m + m**2 - m**4 + 1/3*m**3 = 0.
-1, 0, 1/3, 1
Let q be ((-3)/(-18))/(-3 + 5). Let a(f) be the third derivative of -1/30*f**5 - 1/60*f**6 + 0*f**3 + q*f**4 + 0 + 0*f + 1/105*f**7 - f**2. Factor a(u).
2*u*(u - 1)**2*(u + 1)
Let u(d) = d**2 - 8*d - 13. Let n be u(9). Let g = -1 - n. Factor -2 + 0*p + g*p + 0*p**2 + 8 - 3*p**2.
-3*(p - 2)*(p + 1)
Let y(t) be the third derivative of -t**6/24 - t**5/20 + 5*t**4/24 - t**3/2 - 2*t**2. Let p(r) = r**3 - r + 1. Let h(u) = 3*p(u) + y(u). Factor h(c).
-c*(c + 2)*(2*c - 1)
Let f(t) be the first derivative of -t**4/2 + 22*t**3/9 + 4*t**2/3 - 15. Factor f(i).
-2*i*(i - 4)*(3*i + 1)/3
Let m(b) be the third derivative of 0 + 0*b**3 + 1/6*b**4 + 1/30*b**5 + 0*b - 3*b**2. Find t such that m(t) = 0.
-2, 0
Let t(n) = 3*n**3 + n**2 - 3*n. Let b be t(0). Factor -2/3*o**5 - 2*o**4 + b*o + 0 - 2*o**3 - 2/3*o**2.
-2*o**2*(o + 1)**3/3
Let j(a) be the third derivative of -a**8/1176 - a**7/735 + a**6/140 + a**5/42 + a**4/42 + a**2. Factor j(l).
-2*l*(l - 2)*(l + 1)**3/7
Let y(c) be the second derivative of c**6/40 - 3*c**5/20 + 3*c**4/8 - c**3/2 - 7*c**2/2 + 6*c. Let m(l) be the first derivative of y(l). Factor m(q).
3*(q - 1)**3
Let p(c) be the third derivative of c**6/60 - c**5/5 + c**4/4 + 10*c**3/3 - 29*c**2. Factor p(n).
2*(n - 5)*(n - 2)*(n + 1)
Let q(m) be the second derivative of -1/2*m**3 + 0 + 0*m**2 - 1/4*m**4 + m. Let q(b) = 0. Calculate b.
-1, 0
Let a(o) be the first derivative of 2*o**5/25 - o**4/20 - o**3/3 - o**2/5 - 32. Factor a(v).
v*(v - 2)*(v + 1)*(2*v + 1)/5
Let u(x) be the second derivative of -x**7/1260 - x**6/120 - x**5/30 + 5*x**4/12 - 3*x. Let g(v) be the third derivative of u(v). Factor g(r).
-2*(r + 1)*(r + 2)
Suppose 5*j = -4*d + 4, 3*j + 2*d = 5 - 1. Le