x**5 + x**4 + 5*x**3 + 7*x**2 - x + 1. Suppose 5*n = 8 + 2. Let a(z) = -z**5 + 4*z**3 + 6*z**2 - z. Let g(y) = n*j(y) - 3*a(y). Factor g(d).
(d - 1)**2*(d + 1)**2*(d + 2)
Suppose 0 = 2*l - 9*l + 21. What is w in -1 - 3 + 32*w**2 + 24*w + 8 - 36*w**4 - 24*w**l = 0?
-1, -1/3, 1
Determine p so that -71/6*p**2 - 1/6*p**3 - 1225/6 - 1295/6*p = 0.
-35, -1
Suppose -935 = -0*d + 11*d. Let p = d + 87. What is x in 0*x + 0 - 10/3*x**p - 15*x**4 + 55/3*x**3 = 0?
0, 2/9, 1
Suppose -4*o = -g - 8, o + 3*g + g = 19. Suppose 0 = -o*u + 3*h - 6, u - 3*h + 9 = -u. What is s in -14*s**3 - 2*s - u*s - 2*s - 4 + 24*s**2 + s = 0?
-2/7, 1
Suppose -17 = -4*k - 1. Suppose 2*b + 8*d - 12*d = 26, k*b - 4*d - 32 = 0. Factor 1/2*u**5 + 1/2*u**b + 0*u + 0*u**2 - u**4 + 0.
u**3*(u - 1)**2/2
Let -376 + 45*v**2 + 301*v**3 + 376 + 744*v**4 + 62*v**3 + 48*v**5 = 0. What is v?
-15, -1/4, 0
Factor 3/5*l + 0 - 1/10*l**2.
-l*(l - 6)/10
Let d(n) be the second derivative of -5*n**4/12 - 80*n**3/3 - 150*n**2 + 144*n. Find u, given that d(u) = 0.
-30, -2
Let y(g) be the second derivative of -3*g**5/140 - 39*g**4/14 - 1014*g**3/7 - 26364*g**2/7 + 53*g. Factor y(l).
-3*(l + 26)**3/7
Let i(h) = -h**3 + h**2 + 2*h - 1. Let m be 4/(-14) - (80/(-28))/(-4). Let g(z) = -2*z**4 + 7*z**3 - 9*z**2 - 2*z + 13. Let f(d) = m*g(d) + 3*i(d). Factor f(o).
2*(o - 2)**3*(o + 1)
Let n(p) be the first derivative of -9*p**4/8 - 5*p**3 - 27*p**2/4 - 3*p + 116. Factor n(v).
-3*(v + 1)*(v + 2)*(3*v + 1)/2
Let p be (-24)/(-14)*42/12. Solve -198*q**5 + 0 - p*q**4 + 0 + 196*q**5 - 2*q**2 - 6*q**3 = 0 for q.
-1, 0
Let b(l) = l**3 + 2*l**2 + 2. Let x(g) = -8*g**3 - 3536*g**2 - 1037232*g - 101648744. Let y(z) = 4*b(z) + x(z). Suppose y(w) = 0. Calculate w.
-294
Factor 14/5*i**2 + 4/5*i**3 + 8/5*i + 0 - 2/5*i**4.
-2*i*(i - 4)*(i + 1)**2/5
Factor -504*t**2 - 283 - 240*t - 324*t**3 + 116 + 135.
-4*(3*t + 2)**2*(9*t + 2)
Factor 2/7*d**3 - 78/7*d + 0*d**2 - 20.
2*(d - 7)*(d + 2)*(d + 5)/7
Let f = 51 - 83. Let y = f - -32. Factor -4/11*z**4 - 2/11*z**5 + 0*z + 0 + 0*z**2 + y*z**3.
-2*z**4*(z + 2)/11
Let k(n) be the second derivative of -n**7/420 - n**6/80 - n**5/40 - n**4/48 - 5*n**2 - 16*n. Let d(p) be the first derivative of k(p). Factor d(w).
-w*(w + 1)**3/2
Let j(m) = -11*m**3 + 216*m**2 + 5. Let z(q) = -6*q**3 + 108*q**2 + 3. Let u(a) = 3*j(a) - 5*z(a). Suppose u(n) = 0. What is n?
0, 36
Suppose 0 = 5*t + 5*z - 5, -t + 0*t = -z + 5. Let l(v) = v. Let j(u) = u**2. Let o(m) = t*l(m) - 2*j(m). Determine c, given that o(c) = 0.
-1, 0
Suppose 5*l = 2*l + 2*o + 40, 0 = l + 5*o - 2. Let y be (20/l)/(10/12). Determine m so that -y*m + 3*m + 0*m + 2 + m**2 + 2*m = 0.
-2, -1
Let v(h) = 2*h**3 - 13*h**2 - 23*h - 8. Let n(y) = 2*y**2 + 3*y - 1. Let d be n(-3). Let r be v(d). Determine q so that r + 1/2*q**2 - 1/2*q = 0.
0, 1
Let t(h) be the first derivative of h**4/4 - 3*h**3 + 27*h**2/2 - 22*h - 23. Let f(g) be the first derivative of t(g). Let f(n) = 0. What is n?
3
Let w(o) be the second derivative of 9*o**5/20 + o**4/2 - 3*o**3/2 - 3*o**2 - 37*o. What is d in w(d) = 0?
-1, -2/3, 1
Let s be -1 - -7 - (1 - -1). Let f be 4 + 3*4/(-6). Suppose c**3 - 7*c**3 - 2*c**4 + 2*c**5 + 3*c**2 - s*c + 7*c**f = 0. What is c?
-2, 0, 1
Let p = -116 + 119. Suppose -3*l = 0, -5*u + 10*u - 15 = -p*l. Suppose 0*b**2 + 0 + 2/5*b - 2/5*b**u = 0. Calculate b.
-1, 0, 1
Let t(q) be the second derivative of q**5/18 + 101*q**4/27 + 2080*q**3/27 + 800*q**2/9 + 120*q. Factor t(s).
2*(s + 20)**2*(5*s + 2)/9
Let j(f) be the third derivative of -f**7/2520 - f**6/180 - f**5/30 + 13*f**4/24 - 21*f**2. Let t(c) be the second derivative of j(c). Factor t(q).
-(q + 2)**2
Suppose -210*v**2 + 75*v**3 + 435*v - 220 - 48*v**3 - 32*v**3 = 0. What is v?
-44, 1
Let o(x) be the third derivative of 0*x**3 + 0*x**6 + 0*x + 0*x**4 - 1/112*x**8 + 34*x**2 + 0 + 0*x**5 - 1/70*x**7. Determine b so that o(b) = 0.
-1, 0
Let y(k) be the first derivative of -3*k**5/5 - 45*k**4/8 - 31*k**3/2 - 9*k**2 - 551. What is r in y(r) = 0?
-4, -3, -1/2, 0
Let d = -1159/53130 - -4/161. Let g(b) be the third derivative of 1/66*b**4 - d*b**5 + 0*b - b**2 - 1/33*b**3 + 0. Let g(v) = 0. What is v?
1
Let j(f) be the second derivative of -f**6/1020 + f**5/170 - f**2 - 5*f. Let z(u) be the first derivative of j(u). Factor z(r).
-2*r**2*(r - 3)/17
Let j(b) be the second derivative of b**4/3 - 76*b**3/3 - 78*b**2 - 9*b - 6. Factor j(f).
4*(f - 39)*(f + 1)
Let d(a) be the second derivative of -5/9*a**3 + 2/9*a**4 - 1/30*a**5 + 2/3*a**2 + 0 + 5*a. Factor d(m).
-2*(m - 2)*(m - 1)**2/3
Let h(o) be the first derivative of 25 - 5/3*o**3 + 5*o + 0*o**2. Solve h(x) = 0.
-1, 1
Let c be 6265/36 + ((-2)/(-9))/1. Let y = -173 + c. Find k such that -k**3 + 0*k + 0 + y*k**4 - 1/4*k**2 = 0.
-1/5, 0, 1
Let w(h) = 3*h**3 - 66*h**2 + 291*h + 861. Let m(k) = -3*k**3 + 66*k**2 - 292*k - 860. Let v(g) = 3*m(g) + 4*w(g). Factor v(q).
3*(q - 12)**2*(q + 2)
Let z(i) be the second derivative of 0*i**3 + 8*i - 1/35*i**5 + 0*i**2 + 0 + 1/105*i**6 + 0*i**4. Factor z(k).
2*k**3*(k - 2)/7
Solve 3/7*t**3 - 4/7*t - 2/7*t**4 - 1/7*t**5 + 0 + 4/7*t**2 = 0.
-2, 0, 1
Let o be (-132)/(-28) - (-2)/7. Suppose -o*a = 9 - 24. Factor 0 + 3/2*d**4 + 0*d**2 + 0*d - 1/2*d**5 - d**a.
-d**3*(d - 2)*(d - 1)/2
Let g(a) be the third derivative of -2*a**5/15 + 17*a**4/12 - 4*a**3/3 - a**2 + 78. What is c in g(c) = 0?
1/4, 4
Let m(n) be the second derivative of -n**10/75600 + n**9/7560 - n**8/2100 + n**7/1575 - n**4/3 - 22*n. Let i(z) be the third derivative of m(z). Factor i(w).
-2*w**2*(w - 2)**2*(w - 1)/5
Let v(a) be the first derivative of a**3/12 - 15*a**2/8 + 13*a/2 - 76. Determine t so that v(t) = 0.
2, 13
Let x(f) = -f**3 - 3*f**2 + 4*f + 2. Let j be x(-4). Suppose 4*y + 10*n = 30*n - 32, -n = -3*y + 4. Let y*h - 1/2*h**j + 0 = 0. What is h?
0, 4
Let y(g) be the third derivative of -7*g**6/30 + 4*g**5/15 + 13*g**4/6 - 20*g**3/3 - 4*g**2 + 6*g. Factor y(f).
-4*(f - 1)**2*(7*f + 10)
Let u(d) be the second derivative of d**7/14 - 3*d**6/10 - 9*d**5/10 + 7*d**4 - 12*d**3 + 906*d. Factor u(h).
3*h*(h - 2)**3*(h + 3)
Suppose -4/3*k**4 - 484/3 - 352*k - 664/3*k**2 - 32*k**3 = 0. Calculate k.
-11, -1
Suppose 4*l**3 - 308*l + 616*l - 200 - 288*l + 32*l**2 = 0. Calculate l.
-5, 2
Let -160*a**2 + 285 - 440*a**3 - 2*a**4 + 51*a**2 - 3*a**4 - 171*a**2 + 150*a**3 + 290*a = 0. Calculate a.
-57, -1, 1
Let j = 36289/9 + -4031. Solve -2/9*i**3 - 2/3 - 2/9*i**2 + j*i = 0 for i.
-3, 1
Let v(p) be the first derivative of 4/3*p + 8/9*p**3 + 1/6*p**4 - 7 + 5/3*p**2. Find g, given that v(g) = 0.
-2, -1
Let z be (1 + -2)*-28 + 0. Suppose -4*n + 12 = 2*n. Let 24*m + 0*m**3 - 36 + 36*m - z*m**n + 4*m**3 = 0. What is m?
1, 3
Determine t, given that -10/3 - 37/3*t**3 - 23*t**2 - 47/3*t - 5/3*t**4 = 0.
-5, -1, -2/5
Let q be (191 + -191)/(-1*1). Factor 2*r + q + 1/4*r**2.
r*(r + 8)/4
Let y = -11 + 14. Let b be (y/(-2))/(-1)*640/105. Suppose -8/7 - 22*f**2 + 14*f**3 + b*f = 0. Calculate f.
2/7, 1
Let y = 5 + -10. Let p(o) = -18*o**3 + 73*o**2 - 30*o - 25. Let d(l) = -12*l**3 + 49*l**2 - 20*l - 17. Let c(r) = y*p(r) + 7*d(r). Factor c(f).
2*(f - 3)*(f - 1)*(3*f + 1)
Let b(f) be the third derivative of f**7/840 + f**6/30 + f**5/16 - 155*f**2. Factor b(u).
u**2*(u + 1)*(u + 15)/4
Let y(p) = -4*p**3 - p**2 - p. Let m be y(-1). What is b in 16*b**3 - 3 + 16*b - 120*b**2 + 2 - 4*b**m - 3 + 96*b**2 = 0?
1
Let f(q) be the first derivative of 9/16*q**4 + 39/20*q**5 + 3/2*q**2 + 0*q - 3*q**3 - 3/4*q**6 - 44. Find t, given that f(t) = 0.
-1, 0, 1/2, 2/3, 2
Let d be (999/(-14))/(-9) - (-3 + 41/14). Factor -d*g + 28 + 4/7*g**2.
4*(g - 7)**2/7
Let l(z) be the first derivative of -1/21*z**3 - 1/2*z**2 - 6/7*z + 28. Factor l(u).
-(u + 1)*(u + 6)/7
Suppose 96/5*s**2 + 0 + 28/5*s**3 - 64/5*s = 0. What is s?
-4, 0, 4/7
Let u(v) = -v**3 + 13*v**2 - 13*v + 14. Suppose 12 = 14*o - 13*o. Let r be u(o). Solve -6*j + 5*j**r - 2*j**3 - 7*j**2 + 6*j = 0.
-1, 0
Suppose -4*w = -4*i, 0 = w - 1 + 5. Let m(q) = -q**4 + q - 1. Let j(h) = -21*h**4 + 65*h**3 - 45*h**2 - 9*h + 14. Let k(z) = i*m(z) - j(z). Factor k(o).
5*(o - 1)**3*(5*o + 2)
Let c(s) = s**5 - 2*s**4 - 2*s. Let v(i) = -7*i**5 + 11*i**4 - 2*i**3 + 13*i. Let w(z) = 39*c(z) + 6*v(z). Factor w(d).
-3*d**3*(d + 2)**2
Let v(a) = -9*a**2 - 6*a + 1