t is d?
-1, 0, 1/4, 1, 2
Let w be (15/(-18))/(35/(-28)). Let s(n) be the first derivative of w*n**3 + 1/2*n**4 - n**2 - 2*n - 8. Factor s(z).
2*(z - 1)*(z + 1)**2
Suppose -4*y - 20 = -4*p, -2*y = 5*p + 8*y - 40. Let x(m) be the first derivative of 0*m**3 - 1/2*m**4 + 13 + 5/6*m**p - 3/5*m**5 + 0*m + 0*m**2. Factor x(v).
v**3*(v - 1)*(5*v + 2)
Suppose -j + 2 = -2, -u - j = 8. Let w be 6*8/u*-1. Find g such that 2*g**5 + 4*g**2 + 0*g**5 + 2*g**5 - w*g**3 - 4*g**4 = 0.
-1, 0, 1
Let l be 4/12 - 8/(-3). Factor -2*k**3 + k**5 + k**5 + 2*k**4 - l*k**2 + 0*k**2 + k**2.
2*k**2*(k - 1)*(k + 1)**2
Factor -568*o + 259*o - 2*o**2 + 60 + 283*o + 4*o**2.
2*(o - 10)*(o - 3)
Let q(r) be the first derivative of 5*r**3/12 - 25*r**2/8 + 5*r + 25. Let q(a) = 0. Calculate a.
1, 4
Let f be -2*(-3 + (-10)/(-4)). Let b be 3/3 - (-2 + f). What is z in -16*z + 12*z**2 - 3*z**2 + 8 + z**2 - b*z**3 = 0?
1, 2
Let x(t) be the third derivative of t**6/30 + 11*t**5/15 + 4*t**4 - 24*t**3 + 51*t**2. Suppose x(q) = 0. Calculate q.
-6, 1
Let v(m) be the second derivative of -m**6/8 + 9*m**5/10 + 39*m**4/16 - 7*m**3/4 - 9*m**2 + 61*m. Determine j, given that v(j) = 0.
-1, 4/5, 6
Suppose -11*w = -9*w + 3*b - 16, -3*w = 3*b - 18. Let l(u) be the first derivative of -3/4*u**4 - 3*u**3 - 3*u - 9/2*u**w - 2. Factor l(k).
-3*(k + 1)**3
Let y(j) = j**3 - 24*j**2 - 40*j + 432. Let l(v) = v**3 - 48*v**2 - 82*v + 864. Let z(d) = -2*l(d) + 5*y(d). Factor z(f).
3*(f - 6)**2*(f + 4)
Let n = 150 - 151. Let h be (1 + 3)/n + 104/26. Suppose h - 6/5*p - 3*p**4 - 3/5*p**5 - 27/5*p**3 - 21/5*p**2 = 0. Calculate p.
-2, -1, 0
Suppose 5*y + 135 = 5*n, -n = -5*y + n - 120. Let h = 24 + y. Suppose -c**3 - 1/4*c**4 - 5/4*c**h + 0 - 1/2*c = 0. What is c?
-2, -1, 0
Let m(z) = -20*z + 40. Let n be m(15). Let v be n/44 - -5 - 4/(-2). Solve 8/11*u + 24/11*u**2 + 2/11*u**5 + v*u**4 + 26/11*u**3 + 0 = 0.
-2, -1, 0
Let k = 16 + -20. Let f be 6 + k - (-1 + -1). Find x, given that x**f + 4*x**2 - x**2 - 4*x**2 = 0.
-1, 0, 1
Let s(d) be the first derivative of -14 + 1/2*d**3 + 0*d**2 + 3/16*d**4 + 0*d. Determine t so that s(t) = 0.
-2, 0
Determine a so that -253 - 250 + a + 501 - a**3 + 2*a**2 = 0.
-1, 1, 2
Let r(w) be the second derivative of 0 - 1/240*w**6 + 1/32*w**4 - 1/160*w**5 - 2*w - 1/8*w**2 + 1/48*w**3. Factor r(f).
-(f - 1)**2*(f + 1)*(f + 2)/8
Let i = -19 + 34. Suppose -2*f + 5 = 1. Find z such that -13*z**f - 2*z**3 - 2*z**4 - z + i*z**2 + 3*z = 0.
-1, 0, 1
Let q be 1/(-1)*(1 - 1)*1. Factor 48 + q*d**4 + 2*d**4 - 6*d**2 + 2*d - 44 - 2*d**3 + 0*d.
2*(d - 2)*(d - 1)*(d + 1)**2
Let c(q) = -7*q**3 - 46*q**2 - 115*q - 70. Let n(z) = -190*z**3 - 1240*z**2 - 3105*z - 1890. Let t(v) = -55*c(v) + 2*n(v). Determine m, given that t(m) = 0.
-7, -2, -1
Factor -16/5*g + 2/5*g**3 - 4/5*g**2 + 0.
2*g*(g - 4)*(g + 2)/5
What is j in -2*j**5 + 46*j**4 + 92*j**4 - 6*j**5 - 200*j**3 - 4*j**3 + 42*j**3 + 32*j**2 = 0?
0, 1/4, 1, 16
What is x in 2/3*x**5 - 14/3*x**3 + 0*x**4 - 16/3 + 4/3*x**2 + 8*x = 0?
-2, 1, 2
Let a(v) = v**3 - v**2 + v - 1. Let i(y) = -5*y**2 - 3*y - 1. Let q be (-4 - 0)*(-4 + (-9)/(-3)). Let k(j) = q*i(j) - 4*a(j). Let k(s) = 0. Calculate s.
-2, 0
Let m be (3 + 6 + -11)/(2/(-32)). Suppose -11*j = -m - 12. Solve 0*x - 28/5*x**j + 0*x**2 - 49/5*x**5 + 0 - 4/5*x**3 = 0.
-2/7, 0
Factor -13/2*m**2 + 1/2*m**3 + 55/2*m - 75/2.
(m - 5)**2*(m - 3)/2
Let z(m) be the first derivative of -m**6/20 - 9*m**5/40 - 3*m**4/8 - m**3/4 - 4*m + 5. Let o(x) be the first derivative of z(x). Factor o(l).
-3*l*(l + 1)**3/2
Let o(m) = m**2 + 4*m - 3. Suppose u = -6 + 1. Let i be o(u). Solve t + t**5 + 7*t**i + 2*t**4 - 2*t**5 - 9*t**2 = 0.
-1, 0, 1
Let f = -6/121 + 272/605. Let 0 - 4/5*r + f*r**2 = 0. What is r?
0, 2
Let q(l) be the first derivative of 0*l - 6*l**3 + 1/2*l**2 + 6 - 1/15*l**5 + l**4. Let x(o) be the second derivative of q(o). Factor x(k).
-4*(k - 3)**2
Let g(k) be the third derivative of k**8/168 + 2*k**7/105 - k**6/60 - k**5/15 + 65*k**2. Suppose g(c) = 0. What is c?
-2, -1, 0, 1
Let w(g) = g**3 - 72*g**2 + 73*g - 140. Let a be w(71). Let 0*c + 1/5 - 1/5*c**a = 0. Calculate c.
-1, 1
Solve y**3 - 1/3*y**4 + 1/3*y**2 + 0 - y = 0.
-1, 0, 1, 3
Let q(y) = 53*y**3 - 29*y**2 - 40*y + 16. Suppose -2*v + 6 = 18. Let d(x) = 26*x**3 - 14*x**2 - 20*x + 8. Let u(i) = v*q(i) + 13*d(i). Solve u(p) = 0 for p.
-1, 2/5, 1
Let f(i) be the second derivative of -i**5 + 3*i**4 - 2*i**3 - 2*i**2 - 222*i + 2. Factor f(q).
-4*(q - 1)**2*(5*q + 1)
Let l be (13 - (-90)/(-9)) + (-846)/370. Let w = l - -18/37. Determine n, given that 8/5 + w*n - 2/5*n**2 = 0.
-1, 4
Let c(l) be the second derivative of 1/4*l**2 + 3*l + 0 + 1/48*l**4 + 1/8*l**3. What is b in c(b) = 0?
-2, -1
Let b(v) be the first derivative of -3/4*v**3 - 3/16*v**4 - 24 - 3/4*v - 9/8*v**2. Let b(c) = 0. What is c?
-1
Let j = -334/11 + -607/55. Let i = j + 42. What is p in -9/5*p + i*p**2 + 6/5 = 0?
1, 2
Let h = -66347/4 + 16587. Factor 0 - h*d**2 - 1/12*d**3 + 0*d.
-d**2*(d + 3)/12
Let q(c) be the first derivative of c**6/18 + c**5/3 - c**4/12 - 5*c**3/9 + 20. Factor q(l).
l**2*(l - 1)*(l + 1)*(l + 5)/3
Let j = -50956/33 - -1544. Let n = j - -41/66. Solve n*t**3 + 1/2 + 3/2*t + 3/2*t**2 = 0.
-1
Let i = 516 + 87. Let d be i/117 + (-8 - -3). Determine v so that -d - 4/13*v**2 + 6/13*v = 0.
1/2, 1
Let f(b) = -b**3 - 35*b**2 - 282*b + 318. Let r(n) = -3*n**3 - 105*n**2 - 847*n + 955. Let j(u) = -17*f(u) + 6*r(u). Factor j(a).
-(a - 1)*(a + 18)**2
Suppose -4*m - 2*z = -m - 3, -3*z - 24 = -5*m. Solve 6*q**2 - 4*q**m + 32*q - 48 - 3*q**2 + q**2 = 0 for q.
-3, 2
Let z(p) = -6*p**2 + 14*p - 8. Let q(c) = 7*c**2 - 15*c + 8. Suppose -5*m - 3*k - 17 = 0, -2*k + 0*k - 2 = m. Let s(r) = m*q(r) - 5*z(r). Factor s(u).
2*(u - 4)*(u - 1)
Suppose -16*g + 104 = 10*g. Let a(f) be the second derivative of 2/27*f**3 + 1/54*f**g - 3*f + 0 - 1/3*f**2. Factor a(n).
2*(n - 1)*(n + 3)/9
Suppose -5*i**4 + 78*i**2 + 102*i**2 + 1360*i + 0*i**3 + 2240 - 16*i**3 - 9*i**3 = 0. What is i?
-4, 7
Let u(d) = 21*d**2 + 16*d + 64. Let w(n) = 17*n**2 + 16*n + 64. Let o(i) = 4*u(i) - 5*w(i). Factor o(g).
-(g + 8)**2
Let g(v) be the second derivative of v**7/2100 - v**6/60 + 21*v**5/100 - 49*v**4/60 + 13*v**3/3 - 34*v. Let l(k) be the second derivative of g(k). Factor l(f).
2*(f - 7)**2*(f - 1)/5
Let g be 7/4 - 21/28. Let x be g/10 + (-30)/(-75). Factor -h + x*h**2 + 1/2.
(h - 1)**2/2
Let g be (-13 + (-912)/(-80))/(3/(-5)). Determine i, given that -4*i + g + 4/3*i**2 = 0.
1, 2
Let x(n) be the third derivative of -15/8*n**4 + 5/3*n**3 + n**5 - 4*n**2 - 5/24*n**6 + 0 + 0*n. Factor x(i).
-5*(i - 1)**2*(5*i - 2)
Let j(s) = s**2 + 11*s + 30. Let p be j(-7). Let h be ((-3)/(-5) + 1)/2. Let -h - 2/5*r + 2/5*r**p = 0. Calculate r.
-1, 2
Factor 76 - 44*q + 3*q**2 + 14 + 2*q - 9*q.
3*(q - 15)*(q - 2)
Let n(l) be the second derivative of -l**4/84 + 9*l**2/14 - 80*l - 1. Factor n(q).
-(q - 3)*(q + 3)/7
Let h(r) be the second derivative of -24*r + 5/3*r**3 + 0 + 5/4*r**4 + 0*r**2. Solve h(i) = 0 for i.
-2/3, 0
Determine b, given that -16/7 + 16/7*b - 4/7*b**2 = 0.
2
Let t(z) = -z**3 + 3*z**2 - z - 7. Let w be t(3). Let c = -4 - w. Suppose 3*h**4 - c*h**4 - 28*h**3 + 25*h**3 = 0. What is h?
-1, 0
Let h(n) = -4*n**4 + 28*n**3 + 40*n**2 - 32*n - 34. Let o(u) = u**4 - 2*u**3 - 2*u + 1. Let v(j) = -h(j) + o(j). Let v(x) = 0. Calculate x.
-1, 1, 7
Let w(c) be the third derivative of c**7/210 - c**5/30 - 3*c**3/2 - 11*c**2. Let b(z) be the first derivative of w(z). Solve b(h) = 0.
-1, 0, 1
Let c(d) = -d**3 - 22*d**2 + 20*d + 40. Let x be c(-23). Factor 25*s - x*s**2 + 130*s**2 - 18 + 8*s.
3*(s + 2)*(7*s - 3)
Let q = 109 + -89. Let b be ((-2)/(-4))/(6/q) - 1. Factor -b*x**2 - 4/3 + 2*x.
-2*(x - 2)*(x - 1)/3
Suppose 0 = g - 3*x - 42, 4*g + x = 5*x + 168. Let o be (g/(-18) + 2)/(2/(-24)). Factor 0*n**3 + 4/5*n**o - 4/5*n**2 - 2/5*n + 0 + 2/5*n**5.
2*n*(n - 1)*(n + 1)**3/5
Let b(c) be the third derivative of 0*c - 205/24*c**4 - 14*c**2 - 2/3*c**6 - 22/3*c**5 + 0 - 25/6*c**3. Factor b(p).
-5*(p + 5)*(4*p + 1)**2
Let g = -2 + 7. Let r(t) be the third derivative of 0*t + 0*t**4 + 0 + 0*t**3 + 2*t**2 + 1/240*t**g. Factor r(p).
p**2/4
Suppose z - w = -151 + 149, -w + 2 = 2*z. Factor 2/3*g**3 + 2/3*g**2 - 4/3*g + z.
2*g*(g - 1)*(g + 2)/3
Let b(j)