ven that n(b) = 0.
-5, -1, 0, 1, 2
Let 3/4*j - 1/4*j**3 + 0*j**2 - 1/2 = 0. What is j?
-2, 1
Let g(b) be the second derivative of 11*b - 1/2*b**5 + 0 - 19*b**3 - 16/3*b**4 - 18*b**2. Factor g(i).
-2*(i + 3)**2*(5*i + 2)
Suppose m - 19 = -16. Let q be -2 + 0 - (-6)/m. Factor -4/5*a**2 + q*a + 0 - 1/5*a**4 - 4/5*a**3.
-a**2*(a + 2)**2/5
Let m(y) = 5*y**5 + 420*y**4 + 22050*y**3 + 6*y**2. Let n(q) = 4*q**5 + 420*q**4 + 22050*q**3 + 4*q**2. Let c(j) = 4*m(j) - 6*n(j). Find w, given that c(w) = 0.
-105, 0
Let k = -28039/40 - -701. Let b(i) be the third derivative of 2*i**2 - 1/4*i**4 + 0*i + k*i**5 + 0 + 3/4*i**3. Factor b(f).
3*(f - 3)*(f - 1)/2
Let v(s) = -60*s**5 - 172*s**4 + 617*s**3 - 16*s**2 - 35*s - 10. Let x(l) = l**4 + l**3 + l**2 - l - 2. Let q(c) = v(c) - 5*x(c). What is t in q(t) = 0?
-5, -1/5, 0, 1/4, 2
Let s(d) = -d**5 + d**4 - 5*d**3 + 5*d**2 + 5*d. Let c(z) = z**5 - z**4 + 7*z**3 - 7*z**2 - 7*z. Let f(y) = -5*c(y) - 7*s(y). Let f(v) = 0. What is v?
0, 1
Let k = 9085 + -45419/5. Factor 1/5*d**2 + 0 - k*d.
d*(d - 6)/5
Let o(u) be the first derivative of u**6/480 - u**5/40 + u**4/8 + 17*u**3/3 - 42. Let z(d) be the third derivative of o(d). Let z(s) = 0. What is s?
2
Suppose -18 = -611*o + 609*o. Let j(m) be the third derivative of 0*m - 1/1155*m**7 - o*m**2 + 1/330*m**5 + 0 + 1/132*m**4 + 0*m**3 - 1/660*m**6. Factor j(h).
-2*h*(h - 1)*(h + 1)**2/11
Let l be -3 + (-2)/(66/(-111)). Let p = l + 3/22. Find h such that 1/2*h - 1/2*h**2 + p*h**4 - 1/2*h**3 + 0 = 0.
-1, 0, 1
Let t(m) = m**3 - 4*m**2 - 4*m - 3. Let c be t(-4). Let k be (c/(-50) + -2)/((-1)/(-6)). Factor -6/5 - 3/5*r**2 + k*r.
-3*(r - 2)*(r - 1)/5
Let z(t) be the third derivative of -t**8/28 - 22*t**7/105 - 11*t**6/30 - t**5/15 + t**4/3 - 739*t**2. Determine q so that z(q) = 0.
-2, -1, 0, 1/3
Let q be (10 - 3)/(-7) + 9. Let x(o) be the first derivative of 0*o - 2/21*o**3 - 18/35*o**5 + 3/7*o**4 - q + 0*o**2. Factor x(r).
-2*r**2*(3*r - 1)**2/7
Factor 0 + 1/2*u**2 + u.
u*(u + 2)/2
Factor -4/3*i - 2/3*i**2 + 2/3*i**3 + 0.
2*i*(i - 2)*(i + 1)/3
Let 0 + 0*o + 3/2*o**3 + 18*o**2 - 3/2*o**4 = 0. Calculate o.
-3, 0, 4
Let g(t) = -6*t. Let v(x) = -x + 1. Let s(y) = -g(y) + 5*v(y). Let j be s(0). Find f such that -13*f**3 + 3*f**4 + 10*f**2 + 4*f**3 - j*f - f**2 + 2*f = 0.
0, 1
Let g(y) be the first derivative of -y**5/5 - 3*y**4/2 - 4*y**3 - 4*y**2 + 271. Suppose g(k) = 0. What is k?
-2, 0
Let h(n) be the second derivative of 9*n**8/3920 + 2*n**7/245 - n**6/210 + 16*n**3/3 + n. Let f(x) be the second derivative of h(x). Factor f(k).
3*k**2*(k + 2)*(9*k - 2)/7
Let r be (-1173)/(-782) - (10/8 - 2/8). Solve 4 + 2*c - r*c**3 - c**2 = 0.
-2, 2
Let c(v) be the first derivative of -v**6/24 - 11*v**5/20 - 35*v**4/16 - 25*v**3/12 + 172. Let c(m) = 0. What is m?
-5, -1, 0
Let k = -75 - -82. Let y be k + 1 + (-3)/1. Factor 0*g + 2/5*g**3 + 4/5*g**y + 0*g**2 + 6/5*g**4 + 0.
2*g**3*(g + 1)*(2*g + 1)/5
Let n(z) = -5*z**5 + 6*z**4 - 4*z**2 + 5*z. Let b(w) = 6*w**5 - 6*w**4 + 3*w**2 - 6*w. Let o(h) = -2*b(h) - 3*n(h). What is k in o(k) = 0?
-1, 0, 1
Let u = -1/2 + 5/8. Let j(f) be the first derivative of 0*f + u*f**2 + 1 - 1/12*f**3. Factor j(r).
-r*(r - 1)/4
Find w, given that -3/4*w**2 + 9/4 + 3/2*w = 0.
-1, 3
Let a(z) be the third derivative of -z**10/10080 - z**9/1680 - 3*z**8/2240 - z**7/840 + z**4/4 - 7*z**2. Let p(f) be the second derivative of a(f). Factor p(w).
-3*w**2*(w + 1)**3
Let a(s) be the first derivative of -2*s**5/25 + s**4 - 10*s**3/3 - 271. Let a(p) = 0. Calculate p.
0, 5
Suppose 16*h**3 + 22/5*h**4 + 56/5*h**2 - 32/5*h + 0 = 0. Calculate h.
-2, 0, 4/11
Suppose -u + 9 = -5*t + 40, -4*u + 51 = 5*t. Factor -t*r - 3*r - 85*r**2 + 15 + 80*r**2.
-5*(r - 1)*(r + 3)
Let d be (-10 + (4 - 2))/(-2). Let j(p) = -d + 3*p**2 + 3 - 2*p - 4*p. Let m(q) = q - 1. Let n(f) = 2*j(f) + 2*m(f). Factor n(a).
2*(a - 2)*(3*a + 1)
Factor -13*a**3 + 26*a**4 + 24*a**4 - 4*a**5 + 35*a**4 - 167*a**3 - 648*a**2 - 21*a**4.
-4*a**2*(a - 9)**2*(a + 2)
What is g in 1050*g**2 + 87/2*g**4 + 3/2*g**5 - 1500*g + 405*g**3 + 0 = 0?
-10, 0, 1
Suppose -r = 5*u - 34, 2345*r = 2347*r + 4*u - 32. Factor 7/3*y**2 + 7/3*y**3 + 2/3*y**r + 0 + 2/3*y.
y*(y + 1)*(y + 2)*(2*y + 1)/3
Suppose 0 + 4*i**2 + 0 - 1298*i**4 + 1294*i**4 = 0. Calculate i.
-1, 0, 1
Solve 13 + 51/2*l - 1/2*l**3 + 12*l**2 = 0.
-1, 26
Let p be 0/(12/9*(-9)/6). Let q be (1 - p)*(0/3)/(-3). Factor q - 3/2*k + 3/4*k**2 + 3/4*k**3.
3*k*(k - 1)*(k + 2)/4
Let d(z) be the first derivative of -1/6*z**4 + 0*z - 2/45*z**5 - 4/27*z**3 + 18 + 0*z**2. Suppose d(n) = 0. Calculate n.
-2, -1, 0
Let z(j) be the third derivative of -7*j**2 - 2/21*j**3 + 0*j + 0*j**4 + 1/420*j**5 + 0. Factor z(o).
(o - 2)*(o + 2)/7
Let x(a) be the third derivative of -a**7/315 + 176*a**6/45 - 30976*a**5/15 + 5451776*a**4/9 - 959512576*a**3/9 + 45*a**2. What is h in x(h) = 0?
176
Suppose 0 = 5*l - 0*l - 45. Let u be (-1)/(l/(-2)) - (-4)/(-18). Find v such that 1/2*v**3 + 1/2*v**5 + v**4 + 0*v + u*v**2 + 0 = 0.
-1, 0
Let g be (-108)/18*(-2)/3. Let -2*v**3 - 5*v**g + 2*v + 6*v**2 + 0*v**4 - 2 + v**4 = 0. What is v?
-1, 1/2, 1
Let z be (2/2)/(1/2). Let k(f) = -f**2 + 12*f - 33. Let q be k(6). Factor 2*c**q - z*c - 2 + 2.
2*c*(c - 1)*(c + 1)
Let z(r) = -2*r**3 - 37*r**2 + 10*r + 56. Let x(u) = -u**3 - 19*u**2 + 4*u + 28. Let c(b) = 11*x(b) - 6*z(b). Determine m, given that c(m) = 0.
-14, -1, 2
Let o(x) be the second derivative of 10/3*x**3 + 27*x - 5/12*x**4 + 2 - 10*x**2. Factor o(r).
-5*(r - 2)**2
Let i(m) = -m**3 + m**2 + 1. Let p(v) = 18*v**3 + 4*v**2 - 6*v - 12. Let k be 13 + -16 + 2 + (-2 - -4). Let d(r) = k*p(r) + 12*i(r). Solve d(x) = 0.
-3, 0, 1/3
Factor 0*x + 2/11*x**4 + 0 - 10/11*x**3 - 12/11*x**2.
2*x**2*(x - 6)*(x + 1)/11
Let s(n) = -5*n**3 - 5*n**2 - 5*n - 1. Let b(a) = 12*a**3 + 11*a**2 + 11*a + 2. Let c(f) = -4*b(f) - 10*s(f). Let c(k) = 0. Calculate k.
-1
Let b = 87 - 82. Solve -h**2 + h**2 + 8*h**2 + 4*h**2 + 4*h**b + 4*h**4 - 20*h**3 = 0 for h.
-3, 0, 1
Let g(n) = 3*n**4 - 42*n**3 - 51*n**2 - 10*n - 4. Let w(f) = -2*f**4 - f + 1. Let z(i) = g(i) + 4*w(i). Factor z(d).
-d*(d + 1)*(d + 7)*(5*d + 2)
Let s(q) be the first derivative of 2*q**3/15 - 26*q**2/5 + 10*q + 184. Find w, given that s(w) = 0.
1, 25
Let r(x) be the first derivative of 9*x**5/10 + 7*x**4/6 - 2*x**3/3 - 4*x - 6. Let y(k) be the first derivative of r(k). Factor y(w).
2*w*(w + 1)*(9*w - 2)
Let z(a) be the third derivative of a**9/15120 + a**8/3360 - a**7/2520 - a**6/360 + a**4/8 + 11*a**2. Let f(r) be the second derivative of z(r). Factor f(g).
g*(g - 1)*(g + 1)*(g + 2)
Suppose -3*g = -7 - 2. Suppose 2*v - 5*r = -9 - g, 4*r - 24 = -2*v. Solve 8*m**v + 4*m - 15/2*m**2 - 4*m**3 - 1/2 = 0 for m.
-1, 1/4, 1
Let a = 38/27 + 587/216. Let -3*w - 5/2*w**4 + 25/8*w**2 + 1/2 + a*w**3 = 0. Calculate w.
-1, 1/4, 2/5, 2
Let n be (8/(-7))/(4/(-14)). Suppose -n*d + 16 = 4. Find b such that 0 + 2/3*b - 4/3*b**2 + 2/3*b**d = 0.
0, 1
Factor 22/3*z - 4 + 2/3*z**3 - 4*z**2.
2*(z - 3)*(z - 2)*(z - 1)/3
Let h = -15451/9 + 1717. Let b = -4/159 + 118/477. Let -h - 4/9*a - b*a**2 = 0. Calculate a.
-1
Let z(f) = -f**2 - 12*f + 17. Let y be z(-13). Let m(x) be the first derivative of 0*x**5 + 1 + 0*x**2 + 1/30*x**6 + 0*x - 1/20*x**y + 0*x**3. Factor m(q).
q**3*(q - 1)*(q + 1)/5
Let x(t) = -2*t + 74. Let s be x(31). Suppose 22*q = s*q. What is y in -1/4 + 1/4*y**4 + 1/2*y**3 + q*y**2 - 1/2*y = 0?
-1, 1
Let u(x) = -3*x**5 + 30*x**4 + 27*x**3 - 39*x**2 + 11. Let t(g) = g**5 - g**3 + 3*g**2 - 1. Let q(n) = -22*t(n) - 2*u(n). Find j such that q(j) = 0.
-3, -1, 0, 1/4
Let n(p) = 10*p**3 - 76*p**2 + 8*p + 58. Let m(a) = a**3 - 2*a**2 + 2*a - 1. Let j(v) = -6*m(v) + n(v). Factor j(g).
4*(g - 16)*(g - 1)*(g + 1)
Let q(f) be the third derivative of -11*f**5/270 + 7*f**4/54 - f**3/9 + 171*f**2. Suppose q(h) = 0. Calculate h.
3/11, 1
Let z be (-28)/(-6) + 1/3. Suppose -z*k + 5 = -10. Solve 0*b - 3*b**2 - 6*b + 4*b**k - b**3 = 0 for b.
-1, 0, 2
Let k(s) be the first derivative of 5/4*s**4 + 13/6*s**2 - 4/15*s**5 - 7/3*s**3 - s - 15. Find n such that k(n) = 0.
3/4, 1
Let z = -12 - -20. Suppose 2*g - 3*n + 6 = 0, 4*n = -5*g + z - 0. Let g*j**4 - j**4 - j**3 - 2*j**3 + j**3 = 0. What is j?
-2, 0
Let a(t) be the second derivative of -t**6/30 + t**5/4 + t**