*(3*b - 2)/5
Let o(h) = h**3 - h**2 - 9*h + 13. Let a be o(3). Let r = 12/47 + 340/141. Suppose 0 + 7/2*j**2 + 3/2*j + 2/3*j**a + r*j**3 = 0. Calculate j.
-3/2, -1, 0
Let 15*h + 2*h - 3*h**3 - 449*h**2 + 443*h**2 + 7*h = 0. What is h?
-4, 0, 2
Suppose -z - z = -2*p - 8, 0 = -p. Let -4*v**3 - 18*v**2 - 20 + 6*v**z + 12 + 23*v + v = 0. What is v?
-2, 2/3, 1
Let u = 35633/4 + -8908. What is n in 3/8*n**2 - 1/8*n**4 + 5/8*n - 1/8*n**3 + u = 0?
-1, 2
Let x(t) be the third derivative of -t**5/180 - 19*t**4/72 + 2*t**2 + 91*t. Find o, given that x(o) = 0.
-19, 0
Let m(g) = -6*g**5 + 6*g**4 - 6*g**3 - 3*g. Let z(n) = -11*n**5 + 13*n**4 - 13*n**3 + n**2 - 5*n. Let h(f) = -5*m(f) + 3*z(f). Factor h(l).
-3*l**2*(l - 1)**3
Let h(z) = z**3 - 6*z**2 - 7*z + 13. Let u be h(7). Suppose x = u*x. Determine j, given that -6/5*j**4 + 27/5*j**5 + x*j + 6/5*j**2 + 0 - 27/5*j**3 = 0.
-1, 0, 2/9, 1
Let f(c) = -c**3 + c - 1. Let h(t) = 6*t**3 - t**3 + 5*t**2 + 9*t - 9*t**3 - 15 - t**3. Let a(k) = 6*f(k) - h(k). Find w, given that a(w) = 0.
-3, 1
Let w(a) = a**2 + 1. Let u(m) be the second derivative of 3*m**5/20 - m**3/2 + 3*m**2 - 17*m. Let l(z) = -u(z) + 3*w(z). Factor l(p).
-3*(p - 1)**2*(p + 1)
Let g = -6416 + 6418. Find j such that 3/8*j**3 + 0*j + 3/2 - 9/8*j**g = 0.
-1, 2
Let p(g) = -4*g**2 - 6*g + 44 + 3*g**2 - 51. Let c be p(-3). Determine t, given that -11*t**2 - 3*t - 17*t**3 + 2*t**4 + t**4 + 20*t**3 + 6 + c*t**2 = 0.
-2, -1, 1
Let o(i) be the third derivative of -i**7/525 + 11*i**5/50 + 5*i**4/3 + 28*i**3/5 - 55*i**2 - 7. What is r in o(r) = 0?
-3, -2, 7
Let y(u) be the third derivative of u**7/70 + 3*u**6/20 + 7*u**5/20 - 3*u**4/4 - 4*u**3 + 10*u**2 + 3*u. Let y(r) = 0. What is r?
-4, -2, -1, 1
Let s be (4 + -7)*(-25)/3. Suppose -y - s + 27 = 0. Determine u so that 259 - 5*u**2 + 3*u**3 + y*u**3 - 254 - 5*u = 0.
-1, 1
Let x(f) be the second derivative of f**5/15 + 7*f**4/9 + 16*f**3/9 - 32*f**2/3 + 23*f. Let x(h) = 0. What is h?
-4, 1
Suppose 934 = -n + 937. Factor 50*v**n - 2/5 - 30*v**2 + 6*v.
2*(5*v - 1)**3/5
Let h(s) = s**3 + 77*s**2 + 2183*s + 19687. Let j(t) = -t**3 - 78*t**2 - 2184*t - 19686. Let w(y) = -3*h(y) - 4*j(y). Determine m so that w(m) = 0.
-27
Let w be -2 + (-2 - -1) + 13. Let n = 12 - w. What is y in 0 - 1/4*y - y**4 - 3/2*y**3 - y**n - 1/4*y**5 = 0?
-1, 0
Let c = -1/3595 + 43147/25165. Factor -4/7*h**2 + 16/7 + c*h.
-4*(h - 4)*(h + 1)/7
Let y(s) = -s**3 + 27*s**2 - 47*s + 25. Let i(q) = q**2 + 1. Let b(u) = -2*i(u) + y(u). Find a such that b(a) = 0.
1, 23
Let l be ((-3)/36)/((-300)/224 + 2). Let x = 1022/111 - l. What is c in -4/3*c - 12*c**3 + 0 - x*c**4 - 8/3*c**5 - 20/3*c**2 = 0?
-1, -1/2, 0
Let m = 1322 - 11897/9. Let h(v) be the first derivative of -m*v**3 - 1 + 1/6*v**2 + 2/3*v. Factor h(q).
-(q - 2)*(q + 1)/3
Suppose 3*x = 6 + 3. Let d be (-9)/21*1 - (-192)/56. Find j such that -j**2 - 3 - x*j - d*j - 6 = 0.
-3
Let n(z) be the second derivative of -z**7/560 + z**6/60 + z**5/16 - 5*z**3/6 + z**2/2 - 53*z. Let a(j) be the second derivative of n(j). Factor a(m).
-3*m*(m - 5)*(m + 1)/2
Let a(i) = 7*i**2 + 2*i + 1. Let b be a(-1). Suppose 3*r - b*r**3 + 7*r - 6*r + 3*r**5 - r = 0. What is r?
-1, 0, 1
Let s(u) be the third derivative of -5/3*u**3 + 0 + 5/24*u**4 + 0*u - 16*u**2 + 1/12*u**5. Determine y, given that s(y) = 0.
-2, 1
Let x(d) = d**5 - 61*d**4 - 6*d**3 - 6*d**2 - 12. Let s(g) = 10*g**5 - 670*g**4 - 65*g**3 - 65*g**2 - 130. Let z(v) = 6*s(v) - 65*x(v). What is r in z(r) = 0?
-11, 0
Let f be (-13)/(-3) - 12/36. Suppose f = 9*m - 14. Determine o so that 0 + 2/7*o**4 + 2/7*o**m + 0*o + 4/7*o**3 = 0.
-1, 0
Let a(f) be the first derivative of -f**5/15 + 7*f**4/3 - 98*f**3/3 + 17*f**2/2 - 13. Let p(d) be the second derivative of a(d). Factor p(l).
-4*(l - 7)**2
Let b(j) be the third derivative of j**5/60 - 7*j**4/24 + j**3 - 13*j**2. Solve b(z) = 0.
1, 6
Let d(x) be the second derivative of x**5/150 - x**3/15 + 7*x**2/2 - 12*x. Let f(s) be the first derivative of d(s). Find t such that f(t) = 0.
-1, 1
Let y(m) be the second derivative of 2/7*m**7 - m**3 - 17*m - 2*m**4 + 3/2*m**2 - 3/10*m**5 + 0 + 7/10*m**6. Factor y(c).
3*(c - 1)*(c + 1)**3*(4*c - 1)
Suppose -276*h**2 - 6*h**5 - 176/3*h**4 + 688/3*h**3 - 52/3 + 386/3*h = 0. What is h?
-13, 2/9, 1
Suppose 4*c - 35 = -5*b - 9, -14 = -3*b - 2*c. What is z in -2/9*z - 2/9*z**3 + 0 + 4/9*z**b = 0?
0, 1
Let h = -11 + 19. Let v be -4 - (2 - h) - -1*1. Factor 8/9*w - 2/9*w**4 - 4/3*w**2 - 2/9 + 8/9*w**v.
-2*(w - 1)**4/9
Let y = 19 - 33. Let x be (-35)/10*10/y. Let -3/2*c + 9/2 - 1/2*c**3 - x*c**2 = 0. Calculate c.
-3, 1
Let x(w) be the second derivative of -w**5/20 + w**4/4 + 5*w**3/3 - 8*w + 2. Factor x(n).
-n*(n - 5)*(n + 2)
Factor 4/7*q**2 - 2/7*q**3 + 0 - 2/7*q.
-2*q*(q - 1)**2/7
Find u such that -9/5*u + 0 + 3/5*u**2 - 3/5*u**4 + 9/5*u**3 = 0.
-1, 0, 1, 3
Factor 14/9*g**3 + 0 + 56/9*g - 106/9*g**2.
2*g*(g - 7)*(7*g - 4)/9
Let k(g) be the second derivative of -g**4/18 + 158*g**3/9 - 6241*g**2/3 - 54*g + 1. Factor k(u).
-2*(u - 79)**2/3
Let w be 0*((-2)/10)/(90/(-150)). Factor w + 2*p**3 + 0*p + 1/2*p**4 + 2*p**2.
p**2*(p + 2)**2/2
Factor -112/3*l + 1568 + 2/9*l**2.
2*(l - 84)**2/9
Let -4*u**3 + 72 + 104*u**2 - 34*u**4 - 1505*u + 1341*u + 26*u**4 = 0. Calculate u.
-9/2, 1, 2
Suppose -2*a + l + 7 = 0, 5 + 4 = 3*a - 2*l. Let k be 0 + a - 42/18. What is x in -k - 4*x + 8/3*x**2 + 4*x**3 = 0?
-1, -2/3, 1
Let v = 17767 - 17765. Solve 0 - 9/2*n**4 + 9/2*n**v + 15/4*n - 3*n**3 - 3/4*n**5 = 0.
-5, -1, 0, 1
Let x = 943 + -938. Let f(v) be the second derivative of 0*v**2 - 2*v - 9/20*v**4 + 0 + 1/5*v**3 + 21/100*v**x. Factor f(h).
3*h*(h - 1)*(7*h - 2)/5
Let f(j) be the third derivative of j**8/112 + j**7/35 - j**6/5 + 2*j**2 + 91. Find s such that f(s) = 0.
-4, 0, 2
Let b(f) be the first derivative of -f**6/2 + 12*f**4 + 38*f**3 + 99*f**2/2 + 30*f - 32. Factor b(v).
-3*(v - 5)*(v + 1)**3*(v + 2)
Let k(g) be the second derivative of -g**7/840 + g**5/40 - g**4/12 + 5*g**3/2 + 3*g. Let m(n) be the second derivative of k(n). Factor m(w).
-(w - 1)**2*(w + 2)
Let x(d) be the first derivative of -8 + 8/17*d**2 + 32/17*d + 2/51*d**3. Factor x(g).
2*(g + 4)**2/17
Let y = 84 + -71. Suppose -17*r = -y*r - 12. Factor 2/5*q**4 + 0*q + 0 - 2/5*q**r + 0*q**2.
2*q**3*(q - 1)/5
Let b(f) = -17*f**3 + 150*f**2 - 411*f + 270. Let o(q) = -48*q**3 + 450*q**2 - 1234*q + 810. Let l(z) = 11*b(z) - 4*o(z). Factor l(w).
5*(w - 27)*(w - 2)*(w - 1)
Let t(u) be the third derivative of -u**8/60480 - u**7/7560 - u**6/2160 - 7*u**5/60 - 4*u**2. Let w(j) be the third derivative of t(j). Factor w(d).
-(d + 1)**2/3
Solve 4*b**4 + 4*b**4 - 7*b**4 = 0 for b.
0
Let b(t) be the third derivative of 14*t**2 - 1/5*t**3 - 1/15*t**4 + 0 - 1/150*t**5 + 0*t. Find s, given that b(s) = 0.
-3, -1
Let f = -4 + 11. Factor 4*i + 23*i**2 + f*i**3 + 5*i**3 - 3*i**2 + 4*i.
4*i*(i + 1)*(3*i + 2)
Suppose 1 - 2 = -r. Let i(j) = -21*j**2 + 11*j**2 + 4 + 5*j**2 + 9*j**2 + 12*j. Let c(l) = l. Let z(v) = r*i(v) - 4*c(v). Factor z(b).
4*(b + 1)**2
Let h be (2 - -4*8/(-12))*-3. Let 28*r**2 - 4*r**3 - 19*r**2 - 17*r**h + 6*r + 6*r**3 = 0. What is r?
0, 1, 3
Let v(k) be the first derivative of 5*k - k**2 + 1/3*k**3 - 4. Let o(j) = 2*j**2 - 3*j + 6. Let x(t) = -4*o(t) + 5*v(t). Factor x(a).
-(a - 1)*(3*a + 1)
Let g(w) be the second derivative of w**6/270 + 2*w**5/15 + 11*w**4/18 + w**3/2 + 3*w**2/2 - 41*w. Let y(o) be the second derivative of g(o). Solve y(u) = 0.
-11, -1
Suppose -g + 5*x = 0, 69*g = 66*g + 2*x. Factor g - 2/5*z**2 + 0*z.
-2*z**2/5
Let 2 - 7*r**5 + 9*r**3 + 12*r**2 - 2 - 20*r**4 + 8*r**4 + 2*r**3 - 4*r = 0. What is r?
-2, -1, 0, 2/7, 1
Factor -18/11*x**3 - 30/11*x**2 + 0 + 0*x.
-6*x**2*(3*x + 5)/11
Let a = 61 + -46. Let k be 6/a*35/21. Find m, given that -m**2 - 1/3*m + k = 0.
-1, 2/3
Let b(z) be the second derivative of 1/21*z**4 + 6*z - 4/7*z**2 + 0 + 2/21*z**3. Factor b(f).
4*(f - 1)*(f + 2)/7
Let n be (-48)/28*7/(-38). What is k in -2/19 - n*k**2 - 2/19*k**3 - 6/19*k = 0?
-1
Suppose 27/2*k + 3/2*k**2 + 30 = 0. Calculate k.
-5, -4
Let x(t) = -2*t**4 + 17*t**3 - 13*t**2 - 17*t + 22. Let d(f) = f**4 - 8*f**3 + 6*f**2 + 8*f - 11. Let i(a) = -7*d(a) - 4*x(a). Determine s, given that i(s) = 0.
-1, 1, 11
Let j(o) be the third derivative of