e (-6)/(2 - 13/n). Solve 1/3*j**2 + 1 + u*j = 0 for j.
-3, -1
Let h(m) be the third derivative of -m**7/13860 - m**6/1980 - m**5/660 + m**4/3 + 4*m**2. Let q(y) be the second derivative of h(y). Factor q(g).
-2*(g + 1)**2/11
Find m, given that -26/15*m**2 - 2/15*m**3 + 0*m + 0 = 0.
-13, 0
Suppose 20 = -5*f + 4*n, 0 = -f - n - 4*n + 25. Let r = 3662/10131 - -2/921. Suppose -r*o**2 - 2/11*o**3 + f*o + 0 = 0. What is o?
-2, 0
What is j in -4*j**2 + 1/6*j**3 - 200/3 + 30*j = 0?
4, 10
Let y be (-4 - -4)/(-17 + 10 - -2). What is m in 0 + 1/7*m**5 + 1/7*m**4 + 0*m**2 + 0*m**3 + y*m = 0?
-1, 0
Let y(f) be the third derivative of f**6/80 + f**5/40 - 2*f**2 - 9. What is d in y(d) = 0?
-1, 0
Let n = 5 - 2. Let m(t) = t**2 + 8*t + 14. Let r be m(-6). Factor r*q**2 + 3*q**n - 6*q + 7*q - 2*q.
q*(q + 1)*(3*q - 1)
Let c = 8 - -1. Suppose -c = -2*f - f. Let -f*q**5 - 2*q**5 + 4*q + 8 - 34*q**2 - 53*q**3 - 31*q**4 + 3*q**4 = 0. Calculate q.
-2, -1, 2/5
Let r(n) be the second derivative of 14*n + 1/6*n**4 + 5/3*n**3 - 1/10*n**5 + 0 + 3*n**2. Factor r(y).
-2*(y - 3)*(y + 1)**2
Let z(h) = -h**2 + h. Let s(k) = 5*k**2 - 4*k. Suppose 3*o + 21 = p, p + 5*o - o + 14 = 0. Let w(n) = p*z(n) + s(n). Factor w(f).
-f*(f - 2)
Let m = 31997 - 31997. Solve -3/4 + m*f + 3/4*f**2 = 0.
-1, 1
Suppose 0 - 40/3*s**2 + 2/3*s**3 + 24*s = 0. Calculate s.
0, 2, 18
Let r(a) be the first derivative of -a**6/420 + a**5/56 - a**4/28 + 4*a**3/3 - 14. Let g(v) be the third derivative of r(v). Factor g(m).
-3*(m - 2)*(2*m - 1)/7
Let b = -43596/11 + 3964. Factor -b + 6/11*u + 2/11*u**2.
2*(u - 1)*(u + 4)/11
Let m(y) be the second derivative of -y**5/10 - 24*y**4 - 1679*y**3 + 10658*y**2 - 2*y - 102. Factor m(t).
-2*(t - 2)*(t + 73)**2
Let a(m) = -m**2 - 144*m + 747. Let w be a(5). Let -36/5*s + 12/5 - 21/5*s**w = 0. What is s?
-2, 2/7
Let h(i) be the second derivative of -i**7/2520 + i**6/720 - 7*i**4/6 + 18*i. Let t(v) be the third derivative of h(v). Find o, given that t(o) = 0.
0, 1
Let x(q) = 2*q**2 - q - 1. Let f(u) = -102*u + 33 + 3*u**2 + 186*u + 6*u**2. Let p(v) = -f(v) - 3*x(v). Solve p(d) = 0 for d.
-5, -2/5
Let a(v) = -3*v**4 - 5*v**3 - 23*v**2 + 8*v + 29. Let q(s) = -5*s**4 - 8*s**3 - 35*s**2 + 12*s + 44. Let f(l) = -8*a(l) + 5*q(l). Factor f(u).
-(u - 2)**2*(u + 1)*(u + 3)
Let g = -1846 + 1846. Suppose 0 + 0*p + 8/17*p**5 - 2/17*p**3 + 0*p**4 + g*p**2 = 0. Calculate p.
-1/2, 0, 1/2
Let h = 19417/30 - 647. Let j(g) be the second derivative of -5/9*g**3 + 0 - 1/9*g**6 - 6*g - 2*g**2 + 23/18*g**4 - h*g**5. Find m, given that j(m) = 0.
-3, -2/5, 1
Let j(g) = -4*g - 3. Let m be j(1). Let n = -5 - m. Solve 0 + 0*p**3 + 3/2*p**5 + 3*p**4 - 3*p**n - 3/2*p = 0 for p.
-1, 0, 1
Let v be (-10)/(-20) + 42/4. Let t = -11 + v. Factor 0*x - 2*x + 6*x**2 + t*x**3 + 5*x + 3*x**3.
3*x*(x + 1)**2
Let d(t) be the third derivative of -t**5/210 + t**4/21 - 4*t**3/21 - 31*t**2. Factor d(z).
-2*(z - 2)**2/7
Let n be 7/3 + (-2)/(-3). Suppose n*u - 9 = o + 4, -4*u = -2*o - 16. Suppose -4*s - 16*s**3 + 20*s**5 + 13*s**o + 10*s**2 - 18*s**4 - 5*s**2 = 0. Calculate s.
-1, 0, 2/5, 1/2, 1
Let y(q) be the second derivative of -2/21*q**7 + 0*q**4 + 7*q + 0*q**3 + 0*q**2 + 2/15*q**6 + 2/5*q**5 + 0. Solve y(j) = 0.
-1, 0, 2
Let m(h) = 15*h - 469*h**2 + 469*h**2 - 7*h**3 + 8. Let s(p) = -6*p**3 + 14*p + 8. Let k(y) = -2*m(y) + 3*s(y). Factor k(u).
-4*(u - 2)*(u + 1)**2
Factor 2*i**2 - 8/3*i + 0.
2*i*(3*i - 4)/3
Let f(g) be the first derivative of -g**6/27 - 6*g**5/5 - 3*g**4/2 + 146*g**3 - 864*g**2 + 1944*g + 225. Find w, given that f(w) = 0.
-18, 3
Suppose -307*l + 117*l = -157*l. Find k, given that 1/3*k**5 + 0*k - 2*k**4 + l - 8/3*k**2 + 4*k**3 = 0.
0, 2
Suppose -5*f = -3*d - 86, -3*d = f - 8 - 2. Determine s so that 2 + 11 + f*s - 1 - 8*s**2 + 12*s**2 = 0.
-3, -1
Factor 32*l + 4/3*l**3 - 80/3 - 12*l**2.
4*(l - 5)*(l - 2)**2/3
Solve 0*u**4 + 0 + 0*u**2 + 3/5*u**5 - 3*u**3 + 12/5*u = 0.
-2, -1, 0, 1, 2
Suppose 2*n + 91 = -5*n. Let a = 16 + n. Determine y, given that 8*y + 16/5 + 14/5*y**a - 52/5*y**2 = 0.
-2/7, 2
Determine j, given that 1/2*j**2 + j**3 + 0 - 1/2*j**4 - j = 0.
-1, 0, 1, 2
Let s(t) be the third derivative of t**10/15120 - t**9/22680 - t**8/5040 + 5*t**4/12 + 12*t**2. Let z(w) be the second derivative of s(w). Factor z(d).
2*d**3*(d - 1)*(3*d + 2)/3
Factor 0*u + 18/7*u**2 + 0 + 2/7*u**4 - 12/7*u**3.
2*u**2*(u - 3)**2/7
Factor 0 - 5/4*y**3 + 5*y**2 - 5*y.
-5*y*(y - 2)**2/4
Let o(x) be the second derivative of x**8/43680 + x**7/16380 - 25*x**4/12 - 12*x. Let c(i) be the third derivative of o(i). Let c(h) = 0. Calculate h.
-1, 0
Let t(n) be the third derivative of -32*n**7/105 + 58*n**6/15 + 31*n**5/5 + 95*n**4/24 + 4*n**3/3 - 28*n**2. Let t(j) = 0. Calculate j.
-1/4, 8
Let -11/4*j**3 + j**5 + 6*j**4 - 57/4*j**2 + 13*j - 3 = 0. Calculate j.
-6, -2, 1/2, 1
Let n = 32 - 30. Let v be (-8)/20*(-1 - (n + -1)). What is o in 4/5*o**2 - 2/5*o**4 - 2/5*o - 2/5 - 2/5*o**5 + v*o**3 = 0?
-1, 1
Let d(j) = -3*j**2 + 4*j. Let s(x) = 16*x**2 - 20*x. Let g(t) = -22*d(t) - 4*s(t). Factor g(b).
2*b*(b - 4)
Determine k so that -14/9*k**2 + 0 - 2/9*k**5 + 0*k - 2*k**4 - 10/3*k**3 = 0.
-7, -1, 0
Let x(u) = 13*u**3 - 151*u**2 + 44*u + 77. Let l(q) = -4*q**3 + 50*q**2 - 14*q - 26. Let k(p) = -17*l(p) - 6*x(p). Find o, given that k(o) = 0.
-2/5, 1, 5
Suppose 7*j + 8*j - 5*j = 0. Let x(w) be the second derivative of 1/18*w**3 - 1/18*w**4 + j*w**2 + 1/60*w**5 + 0 + w. Factor x(g).
g*(g - 1)**2/3
Let i(c) be the first derivative of 2*c**3/39 + 59*c**2/13 - 120*c/13 - 106. Solve i(v) = 0.
-60, 1
Suppose 0 = 2*a + 4*k - 158, 0 = -0*a - a - 3*k + 78. Let c = a - 79. Factor -1/2 - 3/4*q - 1/4*q**c.
-(q + 1)*(q + 2)/4
Let n(b) be the second derivative of b**6/90 + b**5/20 - 7*b**4/6 + 50*b**3/9 - 12*b**2 - 74*b. Factor n(a).
(a - 2)**3*(a + 9)/3
Let i(f) = 5*f**3 - 30*f**2 - 65*f + 6. Let l(w) = -4*w**3 + 30*w**2 + 66*w - 4. Let z(j) = 4*i(j) + 6*l(j). Determine x so that z(x) = 0.
-2, 0, 17
Let f(l) be the first derivative of -25*l**4/4 + 1010*l**3/3 - 1375*l**2/2 + 390*l + 468. Factor f(o).
-5*(o - 39)*(o - 1)*(5*o - 2)
Suppose -4*h**3 - 3*h**2 + 3 - h**2 + 9*h - 5*h + 1 = 0. Calculate h.
-1, 1
Suppose -c + 0*q = 3*q - 13, -20 = -2*c - 3*q. Let l be c/12 + 14/(-42). Find a, given that -a + 3/2*a**2 - a**3 + 1/4*a**4 + l = 0.
1
Let z = 642 + -639. Let f(t) be the third derivative of 0*t + 5/48*t**4 - 1/12*t**z - 1/30*t**5 + 6*t**2 + 0. Factor f(j).
-(j - 1)*(4*j - 1)/2
Let j(s) = s**4 - 2*s**3 - 9*s**2 + 20*s - 14. Let t(b) = b**2 + 1. Let o(d) = -3*j(d) - 6*t(d). What is v in o(v) = 0?
-3, 1, 2
Let j(f) be the second derivative of 1/56*f**6 - 1/14*f**4 + 2*f + 0 - 2/3*f**3 + 1/70*f**5 + 0*f**2. Let w(k) be the second derivative of j(k). Factor w(c).
3*(3*c + 2)*(5*c - 2)/7
Let y(b) = b**4 - 2*b + 1. Let i(c) = 3*c**4 - c**3 + 4*c**2 - 4*c + 4. Let l(w) = i(w) - 4*y(w). Factor l(r).
-r*(r - 2)*(r + 1)*(r + 2)
Suppose 0 = -5*m + 5*j + 15, -2*j - j = 3. Let q be (24/20*m)/((-11)/(-5)). What is s in 18/11 + 2/11*s**2 - q*s = 0?
3
Let r(k) be the second derivative of -k**5/90 + 5*k**4/27 - 17*k**3/27 + 8*k**2/9 - 24*k - 5. Find s such that r(s) = 0.
1, 8
Let f(v) = 3*v**3 - 2*v**2 - 3*v + 4. Let w(d) = -d**3 + d**2 - 1. Let p be 94/(-30) + 2/15. Let m(o) = p*f(o) - 6*w(o). Factor m(u).
-3*(u - 1)**2*(u + 2)
Let c be (-24)/4 + 209/22. Factor c*s**2 + 0 + 5/2*s**3 + s.
s*(s + 1)*(5*s + 2)/2
Let u(d) be the second derivative of -d**5/4 + 5*d**4/4 + 5*d**3 - 20*d**2 + 112*d. Factor u(t).
-5*(t - 4)*(t - 1)*(t + 2)
Let x(h) = 3*h**2 - h + 1. Let o be x(1). Let z(w) = 2*w - 4. Let c be z(o). Let a - 5*a**3 - 2*a**4 + a**2 + a**4 - 8*a**c - 4*a = 0. What is a?
-3, -1, 0
Let r be (-8)/(-30) - 24/240. Let p(b) be the second derivative of -1/8*b**4 + 0 - 1/8*b**2 - 1/120*b**6 - 1/20*b**5 - r*b**3 - 10*b. Factor p(x).
-(x + 1)**4/4
Let a(k) be the third derivative of k**5/12 + 265*k**4/4 + 42135*k**3/2 + k**2 - 3. Solve a(s) = 0 for s.
-159
Let c(b) be the third derivative of 0 + 29*b**2 - 7/24*b**4 - 49/120*b**5 - 1/12*b**3 + 0*b. Let c(i) = 0. What is i?
-1/7
Let y(n) = -n**3 - 9*n**2 - 8*n + 10. Let s be y(-8). Let j be 0 + 7 + (-10)/s. Factor -21*o - 7*o**2 - 4 + j + 4 + 16*o**2.
3*(o - 2)*(3*o - 1)
Suppose -5*l + 17 = -u, -l - 3*u = -8*u -