 h be t(1). Determine c, given that -5*c**2 + 4*c**3 + 16 - 11 - 5*c + c**h = 0.
-1, 1
Factor 74/3*y + 1369/3 + 1/3*y**2.
(y + 37)**2/3
Factor 0 + 7/5*k - 1/5*k**2.
-k*(k - 7)/5
Let o(t) = t**4 + t**3 + t**2 + t + 1. Let p = -93 - -89. Let b(c) = -49*c**5 + 24*c**4 - 8*c**3 - 4*c**2 - 4*c - 4. Let g(j) = p*o(j) - b(j). Solve g(w) = 0.
0, 2/7
Let y(l) = -l**3 + 5*l**2 - 5*l + 4. Let p be y(3). Let o = p - 4. Factor -3*k**2 + 6 + o*k**2 - 4*k - 2*k**2.
-2*(k - 1)*(k + 3)
Let w(i) be the third derivative of -1/12*i**4 + 0*i**3 + 0 + 7/120*i**6 + 0*i + 17*i**2 - 1/12*i**5. Factor w(v).
v*(v - 1)*(7*v + 2)
Let z = -65 + 85. Factor 9*h**3 + 8*h + 3*h**3 + z*h**2 - 56 + 56.
4*h*(h + 1)*(3*h + 2)
Let m(o) = -5*o**4 + 4*o**3 + 121*o**2 - 126*o - 726. Let j(l) = l**3 - l**2 + l + 1. Let a(z) = 6*j(z) + m(z). Factor a(b).
-5*(b - 4)**2*(b + 3)**2
Find d such that 3/7*d**3 - 3/7*d - 12/7 + 12/7*d**2 = 0.
-4, -1, 1
Let z be ((-24)/(-7) - 3) + 35484/14. Factor -80*d**2 + z*d + 3996 - 14981 + 5*d**3 - 115*d**2.
5*(d - 13)**3
Let k(i) be the first derivative of i**4/4 + 17*i**3/3 + 63*i**2/2 - 81*i - 194. Factor k(c).
(c - 1)*(c + 9)**2
Let w(d) be the first derivative of 5/6*d**6 + 0*d + 5/3*d**3 + 0*d**2 - d**5 + 7 - 5/4*d**4. Factor w(r).
5*r**2*(r - 1)**2*(r + 1)
Let t(o) be the third derivative of o**6/360 + o**5/30 - 25*o**4/72 + o**3 - 305*o**2. Determine l, given that t(l) = 0.
-9, 1, 2
Suppose -3*d + 12 = 0, 5*x = 4*d - 1 - 15. Suppose 4*v = -x + 8. Find f such that 4 + 6*f - 9*f**v + 4*f**2 + 5*f**2 - 2*f**3 = 0.
-1, 2
Let k(m) = 4*m - 8. Let r be k(14). Factor 2*x - 27*x**3 - 9*x - 3*x - 6 + r*x**2 - 5*x.
-3*(x - 1)**2*(9*x + 2)
Let c(t) = 8*t + 53. Let m be c(-6). Let z be -3 - ((-60)/m)/2. Factor -16/11*f**z - 12/11*f**2 + 0*f - 6/11*f**4 + 2/11.
-2*(f + 1)**3*(3*f - 1)/11
Let m(i) = -14*i**3 + 48*i**2 - 30*i + 2. Let r(w) = -70*w**3 + 241*w**2 - 149*w + 11. Let j(z) = 22*m(z) - 4*r(z). Determine l so that j(l) = 0.
0, 1, 16/7
Let p = -14/5879 + 418977/658448. Let z = p - 1/16. What is t in 0 + 2/7*t**2 - z*t = 0?
0, 2
Let z(y) be the first derivative of -1/8*y**2 + 1/12*y**3 - 1/2*y - 2. Suppose z(x) = 0. What is x?
-1, 2
Let g(w) be the third derivative of w**7/210 + w**6/120 - w**5/20 - w**4/24 + w**3/3 - 2*w**2 - 220. Determine k so that g(k) = 0.
-2, -1, 1
Let a(m) = 3*m**2 - 6*m - 2*m**2 - 3*m**2 + 2. Let h be 2/((-28)/(-6)) - (-6105)/(-231). Let u(c) = 9*c**2 + 25*c - 8. Let n(r) = h*a(r) - 6*u(r). Factor n(x).
-2*(x - 2)*(x - 1)
Let i(r) be the third derivative of r**8/420 + r**7/70 + r**6/45 + 7*r**3/3 + 12*r**2. Let l(k) be the first derivative of i(k). Factor l(p).
4*p**2*(p + 1)*(p + 2)
Let q(n) be the third derivative of -n**6/180 + n**5/3 - 25*n**4/3 + n**3 + 17*n**2. Let f(p) be the first derivative of q(p). What is s in f(s) = 0?
10
Let k(q) = 18 + q**2 - q - 1 - 4. Let o(w) = 6. Let j(b) = b**3 - 12*b**2 + 12*b - 13. Let n be j(11). Let m(l) = n*k(l) + 5*o(l). Find r, given that m(r) = 0.
-1, 2
Let s(k) = 5*k**2 + k**3 + k**3 - 5*k**2. Let d be s(1). Suppose 4*w - w + d*w**2 - 3*w - 2 = 0. What is w?
-1, 1
Let h be (-213)/(-42) - 15/(-35) - 3/2. Factor -24/5*n**3 + 4*n**2 + 12/5*n**h - 2/5*n**5 - 6/5*n + 0.
-2*n*(n - 3)*(n - 1)**3/5
Let m = 9707 - 9704. Find f, given that -21/5*f**2 + 48/5 + 24/5*f + 3/5*f**m = 0.
-1, 4
Suppose 55*z - 67 - 229 = -93*z. Solve 24/11*l + 54/11*l**z - 8/11 = 0 for l.
-2/3, 2/9
Let q be 129/774 - (-4)/3. Suppose -3/2*g**3 + 3*g**2 + q*g - 3 = 0. Calculate g.
-1, 1, 2
Let f(z) = 15*z**3 - 15*z**2 - 5*z + 15. Let n(k) = 7*k**3 - 8*k**2 - 3*k + 8. Let p = 12 - 17. Let i(h) = p*n(h) + 2*f(h). What is m in i(m) = 0?
-1, 1, 2
Let n(o) be the third derivative of 1/840*o**7 - 5/96*o**4 + 1/480*o**6 - 14*o**2 - 1/80*o**5 - 1/12*o**3 + 0*o + 0. Factor n(u).
(u - 2)*(u + 1)**3/4
Let r(u) be the first derivative of 10 + 10/21*u**3 - 2/35*u**5 + 2/7*u**2 + 0*u + 3/14*u**4 - 1/21*u**6. Factor r(o).
-2*o*(o - 2)*(o + 1)**3/7
Let l(h) be the third derivative of 5/6*h**3 + 0 + 1/20*h**5 - 3/8*h**4 + 1/120*h**6 + 0*h + 20*h**2. Factor l(p).
(p - 1)**2*(p + 5)
Factor 1000*c**3 + 219261*c + 5*c**4 - 11669525 + 11553*c**2 + 2280739*c + 42919525 + 63447*c**2.
5*(c + 50)**4
Let v be 3952/728 + (2 - (-34)/(-14)). Factor -1/3*f**2 - 1/3*f**3 + 1/6 + 1/6*f**4 + 1/6*f + 1/6*f**v.
(f - 1)**2*(f + 1)**3/6
Let x(i) = 12*i**4 - i**3 - 5*i**2 - 9*i - 7. Let a(m) = 2*m**4 - m**3 - m**2 - m - 1. Let f(p) = 5*a(p) - x(p). Determine h so that f(h) = 0.
-1, 1
What is g in -2/9*g**3 + 2/9*g - 4/9 + 4/9*g**2 = 0?
-1, 1, 2
Let l(w) = -4*w**4 + 17*w**3 - 8*w**2 - 83*w + 96. Let n(v) = -20*v**4 + 86*v**3 - 40*v**2 - 414*v + 480. Let d(h) = 14*l(h) - 3*n(h). Factor d(z).
4*(z - 3)*(z - 2)**2*(z + 2)
Let n(v) be the first derivative of 0*v**4 + 0*v**2 + 0*v + 1/30*v**5 + 1/90*v**6 + 2*v**3 - 8. Let m(b) be the third derivative of n(b). Solve m(r) = 0 for r.
-1, 0
Let r be (10 - 52/5) + 217/540. Let j(m) be the third derivative of m**2 - r*m**6 + 0*m + 1/27*m**3 - 1/270*m**5 + 0 + 1/108*m**4. Factor j(w).
-2*(w - 1)*(w + 1)**2/9
Let s be 370/(-90) - 20/(-4). Let n(o) be the first derivative of s*o**3 + 0*o - 4/15*o**5 - 3 - 1/3*o**4 + 0*o**2. Solve n(u) = 0 for u.
-2, 0, 1
Let g(b) be the first derivative of -b**6/2 - 24*b**5/5 - 57*b**4/4 - 12*b**3 + 210. Solve g(k) = 0.
-4, -3, -1, 0
Let o(r) be the second derivative of -r**6/10 - 81*r**5/10 - 243*r**4 - 2916*r**3 - 30*r. Find f such that o(f) = 0.
-18, 0
What is a in 24/5*a + 22/5 - 24/5*a**3 - 4*a**2 - 2/5*a**4 = 0?
-11, -1, 1
Suppose -4*r = g - 2229, 3*g - 1677 = -3*r + 4*g. Factor -2*u**5 + 2*u**3 + r*u - 558*u.
-2*u**3*(u - 1)*(u + 1)
Let a(n) = 2*n**2 - 4*n - 6. Let y(x) = -x**2 + 2*x + 3. Suppose i = 5*i + 56. Let l = -5 - i. Let d(r) = l*y(r) + 4*a(r). Suppose d(c) = 0. Calculate c.
-1, 3
Let l(g) be the second derivative of g**8/16800 + g**7/2100 - g**5/75 - 4*g**4/3 - 5*g. Let a(o) be the third derivative of l(o). What is y in a(y) = 0?
-2, 1
Let s(b) be the second derivative of b**4/48 - 38*b**3/3 + 2888*b**2 + 74*b - 4. Factor s(i).
(i - 152)**2/4
Let g = -465/7 - -470/7. Factor -g*w**2 + 0*w + 1/7*w**3 + 0.
w**2*(w - 5)/7
Let v(k) = 5*k + 0 + 6 - 35*k**2 + 29*k**2. Suppose -u = 4*u + 40. Let m(g) = -9*g**2 + 8*g + 9. Let l(f) = u*v(f) + 5*m(f). Determine y so that l(y) = 0.
-1, 1
Let l(x) be the third derivative of x**6/72 + x**5/8 - 5*x**4/6 + 7*x**3/3 + 25*x**2. Let w(b) be the first derivative of l(b). Determine n so that w(n) = 0.
-4, 1
Solve 8/3*n - 5/2 - 1/6*n**2 = 0.
1, 15
Factor -6*r**3 + 3*r**4 + 69 - 31*r**5 - 69 + 5*r**4 + 29*r**5.
-2*r**3*(r - 3)*(r - 1)
Suppose 79 + 142 = 99*i + 23. Determine x so that 1/2*x - 1/6 + 2/3*x**i = 0.
-1, 1/4
Let h(k) be the second derivative of -k**6/360 + k**5/90 - k**4/72 + 17*k**2/2 - 24*k. Let j(c) be the first derivative of h(c). Find z, given that j(z) = 0.
0, 1
Let q be (-2 + 3/2)*60. Let o be (2/(-4))/(3/q). Factor -4 + 2*r**3 + 4 - 3*r + 2*r**4 - 1 + r**4 - 2*r**2 + r**o.
(r - 1)*(r + 1)**4
Let n = 6 + -4. Factor 12*f**2 + f + 2*f**3 - 25*f**n - 9*f + 15*f**2 - 8.
2*(f - 2)*(f + 1)*(f + 2)
Determine u so that 3/2*u**4 + 39/2*u**3 + 177/2*u + 141/2*u**2 + 36 = 0.
-8, -3, -1
Let m be 2/5 + (-2193)/(-430) + -4. Let w(v) be the third derivative of -1/40*v**6 + 9*v**2 - 3/20*v**5 + 0 + 1/8*v**4 + 0*v + m*v**3. Let w(h) = 0. What is h?
-3, -1, 1
Factor 24/17*w - 72/17 - 2/17*w**2.
-2*(w - 6)**2/17
Let k(l) = -12*l**4 - 74*l**3 - 60*l**2 + 14*l + 4. Let t(r) = 25*r**4 + 147*r**3 + 122*r**2 - 27*r - 9. Let c(n) = -9*k(n) - 4*t(n). Factor c(w).
2*w*(w + 1)*(w + 9)*(4*w - 1)
Let g(r) be the first derivative of -r**5/35 - 2*r**4/21 - 2*r**3/21 - 13*r - 11. Let p(t) be the first derivative of g(t). Factor p(y).
-4*y*(y + 1)**2/7
Suppose 0 = -15*v + 13*v + 6. Let i be v - (6/(-14) - 3/(-7)). Factor 2*k + 1/2 + 2*k**i + 3*k**2 + 1/2*k**4.
(k + 1)**4/2
Let m(o) = -o**3 + 50*o**2 + 333*o - 16. Let s be m(-6). Solve 2*g + 0 + 1/5*g**5 + 9/5*g**s - 11/5*g**3 - 9/5*g**4 = 0 for g.
-1, 0, 1, 10
Suppose -2*l - 6 = -22. Factor -2*k**2 + 7*k - l*k - 3*k.
-2*k*(k + 2)
Let p = 23 + -22. Suppose -3*m**2 + m**2 + 2*m + p + 5*m**2 - 2*m**2 = 0. Calculate m.
-1
Let g be -1*2/4 + 200/80. Suppose 7*k + 7*k + 25*k**g - 3*k - k = 0. What is k?
-2/5, 0
Let u