(m).
(m - 7)*(m - 1)*(m + 1)
Suppose -1 = 2*l - l, -10 = 3*d - 2*l. Let n = 22/5 + d. Factor 6/5*r**3 + 0 - n*r**2 + 0*r.
2*r**2*(3*r - 1)/5
Let j be -6 - (-2 + -8) - 2. Let q be 0*1/(3/6*j). Factor q - 1/3*d**2 - d.
-d*(d + 3)/3
Let g(v) = -5*v**4 - 40*v**3 + 25*v**2 + 15*v + 15. Let q(o) = 2*o**3 + o - 1. Let d(u) = g(u) + 15*q(u). Suppose d(h) = 0. Calculate h.
-3, -1, 0, 2
Let c be (-14)/(-10) - 6/(-10). What is a in 5*a - 2*a**3 + 7*a**3 + 3*a**c + 2*a**2 - 15*a**2 = 0?
0, 1
Determine h, given that 1/2 + h - h**2 - 2*h**3 + h**5 + 1/2*h**4 = 0.
-1, -1/2, 1
Let h(z) = -2*z**3 + 57*z**2 - 512*z. Let j(k) = -2*k**3 + 58*k**2 - 512*k. Let i(l) = 6*h(l) - 7*j(l). Let i(o) = 0. What is o?
0, 16
Suppose 58*d = 68*d - 20. Let g(u) be the second derivative of 0*u**3 - d*u - 1/21*u**7 + 1/10*u**5 + 0*u**2 + 1/15*u**6 + 0 - 1/6*u**4. Factor g(f).
-2*f**2*(f - 1)**2*(f + 1)
Let j be ((-10)/(-80) + 5 + -5)*3*4. Factor -3/4*c**3 + 1/4*c**4 - 15/4*c**2 - j - 17/4*c.
(c - 6)*(c + 1)**3/4
Let v(o) = -2*o**3 - 29*o**2 + 82*o - 49. Let a be v(-17). Factor -35/3*j**a - 10 - 115/3*j.
-5*(j + 3)*(7*j + 2)/3
Let g be (-10)/48 + 5/(-30) - 45/(-56). Factor 6/7 + g*y**2 - 9/7*y.
3*(y - 2)*(y - 1)/7
Let r be 3*2/36 + 17 + -17. Let d(k) be the second derivative of 1/30*k**6 + 0*k**2 + 2*k + r*k**4 + 3/20*k**5 + 0 + 0*k**3. Factor d(w).
w**2*(w + 1)*(w + 2)
Let h(r) be the first derivative of -26 - 8/39*r**3 + 7/13*r**2 - 7/13*r**4 + 7/39*r**6 + 4/13*r + 4/65*r**5. Determine v, given that h(v) = 0.
-1, -2/7, 1
Let y = -2814 - -2816. Let i(r) be the first derivative of -1/6*r**4 - 11 + 4/3*r**y + 8/3*r - 2/9*r**3. Let i(c) = 0. What is c?
-2, -1, 2
Let d(h) = -h**2 + h. Let a(i) = 9*i**2 - 258*i + 5292. Let k(n) = -a(n) - 6*d(n). Suppose k(r) = 0. Calculate r.
42
Let s = -12212/975 + 163/13. Let v(x) be the second derivative of 0*x**5 + 0 + 12*x + 0*x**3 - 1/30*x**4 + s*x**6 + 0*x**2. Factor v(d).
2*d**2*(d - 1)*(d + 1)/5
Let l(m) = 4*m**3 + 3*m - 3. Suppose -17 = d + 2*i, d - 6*i + 4*i + 13 = 0. Let p(g) = -g**3 + 1. Let o(w) = d*p(w) - 3*l(w). Let o(a) = 0. What is a?
-1, 2
Let j(t) = -3*t**3 + t. Let c(w) = -3*w**3. Let h = -8 - -6. Let k(q) = h*c(q) + 3*j(q). Factor k(x).
-3*x*(x - 1)*(x + 1)
Suppose 0 = -2*w + 3*h - 19 - 16, 0 = -5*w - 5*h - 25. Let l be (-24)/(-9) + w/15. Solve z**l + 1 + 1 - 3*z**2 = 0 for z.
-1, 1
Let u(y) = -y**3 - 20*y**2 - 15*y + 42. Let l be u(-18). Let z be l/108*(-6)/7. Factor z*j - 8/3 + 2/3*j**2 - 2/3*j**3.
-2*(j - 2)*(j - 1)*(j + 2)/3
Let u be (-117)/(-3 + -6) + -11. Factor 3/2*i**u + 0 + 3*i.
3*i*(i + 2)/2
Let a(u) be the third derivative of -12*u**2 + 0*u + 0 + 1/6*u**3 + 1/72*u**4 - 1/60*u**5 - 1/360*u**6. Factor a(b).
-(b - 1)*(b + 1)*(b + 3)/3
Suppose 3*h - 5*y - 14 = 0, -y = 5*h - 3*y - 36. Suppose h*d = 9*d - 2. Factor -12*r**2 - r**3 - 20*r + 4*r**d - 4*r**3 - 12*r**2.
-5*r*(r + 2)**2
What is a in -18 - 8*a**4 + 46*a + 22*a + 2*a**4 - 3*a**4 - 35*a + 63*a**2 + 3*a**3 = 0?
-2, -1, 1/3, 3
Let u be (-1)/4*-6*2. Let v be 3/7*((-735)/18)/(-35). Factor 0 - 1/2*t**2 + v*t**4 - t**u + t.
t*(t - 2)*(t - 1)*(t + 1)/2
Let l be (2 - 2)/((-68 + -10)/13). Let o(f) be the second derivative of 3/2*f**2 - 3*f**3 + l - 3*f + 9/4*f**4 - 3/5*f**5. What is a in o(a) = 0?
1/4, 1
Let y be (20/(-30))/(2/(-15)). Let n(w) be the first derivative of w + 0*w + w**3 + y - w. Solve n(t) = 0.
0
Let -34/3*a**3 - 14*a**2 - 2*a**4 + 8/3 - 2*a = 0. Calculate a.
-4, -1, 1/3
Suppose -5 = 7*n - 33. Factor -5*i**3 + 5*i**n + i - 5*i**2 + 5*i - i.
5*i*(i - 1)**2*(i + 1)
Let v(t) be the third derivative of -t**5/60 + t**4/3 - 2*t**3 + 12*t**2 - 4*t. Let v(g) = 0. What is g?
2, 6
Let d = -136294 - -7495927/55. Let g = d + 23/5. Factor 2/11 + g*b**2 - 4/11*b.
2*(b - 1)**2/11
Let i be ((-1)/4)/((-7)/84). Suppose -2*f + 10 + 10 = 3*n, -i*n + 41 = 5*f. Determine o so that o**2 - f + 3 - 4*o**2 - 9*o - 2 = 0.
-2, -1
Suppose 0 + 2*q**2 - 1/2*q**4 - 2/3*q + 1/3*q**5 - 7/6*q**3 = 0. Calculate q.
-2, 0, 1/2, 1, 2
Let p(w) = -17*w**4 + 26*w**3 + 41*w**2 - 32*w + 9. Let v(t) = 4*t**4 - 6*t**3 - 10*t**2 + 8*t - 2. Let c(f) = 4*p(f) + 18*v(f). Factor c(b).
4*b*(b - 2)*(b - 1)*(b + 2)
Suppose m + 2*h - 14 = 0, h = 2*m - 2*h. Let a(v) = -2*v**4 + 6*v**3 - 6*v. Let i(y) = y**3 - y. Let r(z) = m*i(z) - a(z). Factor r(f).
2*f**4
Let q(w) = -w**2 + 48*w - 67. Let g(v) = 3*v**2 - 168*v + 234. Let r(f) = -5*g(f) - 18*q(f). Factor r(n).
3*(n - 6)*(n - 2)
Let q(b) = 3*b**3 + 21*b**2 + 42*b - 3. Let a(z) = 3*z**3 + 20*z**2 + 44*z - 4. Let f(g) = -3*a(g) + 4*q(g). Find i, given that f(i) = 0.
-6, -2, 0
Let l(z) = -17*z + 18. Let p be l(14). Let d = 670/3 + p. Factor -2/3*o**3 - 8/3*o**2 - d*o - 4/3.
-2*(o + 1)**2*(o + 2)/3
Let d(s) = -22*s**4 + 30*s**3 + 52*s**2 + 7*s + 14. Let w(f) = 7*f**4 - 10*f**3 - 17*f**2 - 2*f - 4. Let k(r) = -2*d(r) - 7*w(r). Find l, given that k(l) = 0.
-1, 0, 3
Let w(g) be the second derivative of -g**5/80 + g**4/8 + 21*g**3/8 + 27*g**2/2 + 423*g. Find r such that w(r) = 0.
-3, 12
Suppose 0*k = -3*z + 2*k + 76, 3*z + 4*k = 100. Let p = z + -28. Find i, given that 7/2*i**2 - 1/2*i**5 + p - 9/2*i**3 + 5/2*i**4 - i = 0.
0, 1, 2
Suppose 2*i = -x - 3, -2*i = -0*x - x + 1. Let y be x/((-3)/(-9))*-1. Factor 4*o**3 + 3 - 3*o**4 - 6*o + 2*o**y + 0*o**4.
-3*(o - 1)**3*(o + 1)
Suppose x + 0 = 3. Suppose -2*r - x = -3*r. Suppose 0 - 1 - 7*k - 3*k**2 + 4*k - k**r = 0. Calculate k.
-1
Find d, given that 0*d**3 + 0*d**2 + 0*d + 28/3*d**4 + 0 - 2/3*d**5 = 0.
0, 14
Let g(t) be the second derivative of 5*t**4/36 - 77*t**3/18 + 5*t**2 - 15*t + 2. Solve g(z) = 0 for z.
2/5, 15
Suppose -2*q - 83 = -3*q. Factor 92*r - 111*r + 4*r**3 + q*r - 48 - 28*r**2.
4*(r - 3)*(r - 2)**2
Let r(n) = 6*n**3 + n**2 - 2*n - 2. Let d be r(-1). Let m(v) = -v**4 - v**3. Let q(w) = 20*w**3 + 45*w**2 + 35*w + 10. Let t(a) = d*m(a) + q(a). Solve t(x) = 0.
-2, -1
Let k(q) be the third derivative of q**5/600 - 19*q**4/120 - 13*q**3/20 + 87*q**2 + 1. Factor k(m).
(m - 39)*(m + 1)/10
Let i(y) be the second derivative of y**4/3 + 20*y**3 - 62*y**2 - 133*y. Find s such that i(s) = 0.
-31, 1
Solve 2 - 1/4*t**5 - 3*t + 7/4*t**3 + 0*t**4 - 1/2*t**2 = 0 for t.
-2, 1, 2
Factor 3 - t**4 + 0 - 2*t**2 + 0 + 4*t**3 - 4*t.
-(t - 3)*(t - 1)**2*(t + 1)
Factor 3/5*t**3 - 207/5*t + 21 + 99/5*t**2.
3*(t - 1)**2*(t + 35)/5
Suppose -623 - 7 = -9*k. Let d = k + -139/2. Suppose 0 + d*w - 1/4*w**2 = 0. What is w?
0, 2
Let z(r) = -7*r**2 - 33*r - 53. Let b(a) = 8*a**2 + 32*a + 52. Let x(d) = 3*b(d) + 4*z(d). Find y such that x(y) = 0.
-7, -2
Let b(l) be the first derivative of -2*l**5/5 + 21*l**4/2 - 80*l**3 + 100*l**2 - 196. Factor b(o).
-2*o*(o - 10)**2*(o - 1)
Let c(i) be the second derivative of -4*i**6/105 + 33*i**5/70 - 12*i**4/7 + 16*i**3/21 + 54*i. Determine p, given that c(p) = 0.
0, 1/4, 4
Let b(i) be the first derivative of 14*i**6 + 4*i**5/5 - 100*i**4 + 128*i**2 - 64*i + 47. Determine r so that b(r) = 0.
-2, -1, 2/7, 2/3, 2
Factor -67 + 32*d + 67 + 2*d**3 + 16*d**2.
2*d*(d + 4)**2
Let p(i) be the second derivative of 0 + 5/63*i**3 + 1/42*i**4 - 1/315*i**6 + 7*i + 2/21*i**2 - 1/210*i**5. Suppose p(m) = 0. Calculate m.
-1, 2
Let x = 13/423 - -172942/2115. Let p = x + -81. Factor 2/5*j**2 - p + 2/5*j.
2*(j - 1)*(j + 2)/5
Let r(a) be the first derivative of 8*a**3/9 - 10*a**2/3 - 82. Suppose r(d) = 0. Calculate d.
0, 5/2
Suppose 4*m + 5*u - 5 + 18 = 0, 2*m - 2*u = 16. Let s(y) be the first derivative of 3/2*y**2 - 2 - 1/4*y**4 + 0*y**m - 2*y. Solve s(l) = 0 for l.
-2, 1
Let c be (1950/3640)/(9/7). Let b(h) be the second derivative of 0*h**2 + 5/2*h**3 + 0 - 11*h + c*h**4. Let b(i) = 0. Calculate i.
-3, 0
Let i(z) = z**3 + 17. Let t be i(0). Let f = t + -9. Let p**5 - 12*p**4 + 8*p**2 + 4 + 3*p**5 - f*p + 6*p + 8*p**3 - 10*p = 0. Calculate p.
-1, 1
Let -5*o**2 + 7*o + 5*o**4 + 2*o**5 - 12*o + 3*o + 0*o = 0. What is o?
-2, -1, -1/2, 0, 1
Let z(a) = -a**2 - 4*a. Let o(i) = -5*i**2 - 56*i - 39. Let h(l) = -5*o(l) + 20*z(l). Factor h(k).
5*(k + 1)*(k + 39)
Let k(s) be the second derivative of s**4/6 - 19*s**3/3 - 20*s**2 - 8*s + 5. Determine z, given that k(z) = 0.
-1, 20
Let n(l) = l**3 - 5*l**2 + 1. Let z be n(5). Let p(j) be the first derivative of 2/5*j**2 - z - 3/5*j - 1/15*j**3. Factor p(h).
-(h - 3)*(h - 1)/5
Let y(a) be