f -o**7/420 - o**6/30 + o**5/120 + o**4/6 - 2*o**2 + 75. Determine y so that h(y) = 0.
-8, -1, 0, 1
Factor 2/9*x**3 + 28/9*x + 2*x**2 + 0.
2*x*(x + 2)*(x + 7)/9
Let y be (-10)/(-35) - (-104)/28. Let v(z) = -10*z**2 - 9*z - 4. Let w(j) = 10*j**2 + 10*j + 4. Let x(r) = y*v(r) + 5*w(r). Solve x(c) = 0.
-1, -2/5
Suppose 14 = 10*h - 11*h. Let o(x) = 4*x**2 - 4*x - 8. Let y(g) = -g**2 + g + 2. Let r(m) = h*y(m) - 4*o(m). Factor r(i).
-2*(i - 2)*(i + 1)
Suppose -2*h - 2*h = -3*q + 3, 0 = 2*h. Suppose -3*v + 3 = -3. Factor q - v*t**2 - 4*t**2 + 6*t**2 - t**2.
-(t - 1)*(t + 1)
Let h(z) = 9*z**2 - 6*z + 9. Let o(a) = a**2 + 1. Suppose -11*f + 7*f + 4 = 0. Let d(n) = f*h(n) - 6*o(n). Let d(r) = 0. Calculate r.
1
Let k(w) be the third derivative of w**8/504 - 2*w**7/315 + w**5/45 - w**4/36 - 5*w**2 - 2. Factor k(t).
2*t*(t - 1)**3*(t + 1)/3
Factor -413 - 800*x - 249 + 484*x**2 - 96*x**3 - 141 + 4*x**4 - 697 + 116*x**2.
4*(x - 15)*(x - 5)**2*(x + 1)
Let i(w) = w**5 - w**4 + w**2 + w + 1. Let x(d) = 8*d**5 - 11*d**4 + 6*d**3 + 3*d**2 + 8*d + 7. Let m(l) = 35*i(l) - 5*x(l). Solve m(p) = 0 for p.
0, 1
Let g be 4/(-3)*((-5)/(-10) + -2). Factor 91*v**2 - 93*v**2 + 4*v + 0*v - g*v**3.
-2*v*(v - 1)*(v + 2)
Let j(q) be the first derivative of -q**4 + 2*q**2 + 21. Find n, given that j(n) = 0.
-1, 0, 1
Suppose 2*k - 6*k - 36 = 0. Let j be (-3)/k - (-10)/6. Find g, given that -2*g - 4 + 0*g - 2*g**j - 2*g - 2*g = 0.
-2, -1
Suppose -16/5 + 4/5*m**3 + 28/5*m**5 - 32/5*m + 92/5*m**2 - 76/5*m**4 = 0. What is m?
-1, -2/7, 1, 2
Solve -6 + 3*w**5 - 24*w + 6 - 6*w**3 - 36*w**2 - 52*w**4 + 61*w**4 = 0.
-2, -1, 0, 2
Let v = 483 - 8204/17. Let b = -29/153 + v. Factor -2/3*k**4 - 4/9*k**3 + 2/3*k + 4/9*k**2 - 2/9*k**5 + b.
-2*(k - 1)*(k + 1)**4/9
Let r(a) be the second derivative of 7*a + 0 + 3/8*a**2 + 1/12*a**3 - 1/48*a**4. Solve r(x) = 0 for x.
-1, 3
Let d be ((-459)/45 - -11)/4. Let i(h) be the second derivative of 0 + d*h**5 + 2/3*h**3 + 0*h**2 + 2/3*h**4 - 8*h. Factor i(a).
4*a*(a + 1)**2
Suppose 5*q = -r + 21, 8*q - 4*q - 5*r = 11. Solve 0 - 1/4*h**q + 1/4*h**3 + 1/4*h**2 - 1/4*h = 0 for h.
-1, 0, 1
Let u(a) be the second derivative of -a**5/12 - 5*a**4/6 - 5*a**3/2 + 13*a**2 - 7*a. Let s(m) be the first derivative of u(m). Factor s(b).
-5*(b + 1)*(b + 3)
Suppose -35 = -l + 7. Let s = l + -40. Factor 0*h + 0 + 1/3*h**4 + 1/3*h**3 + 0*h**s.
h**3*(h + 1)/3
Let c(r) = -r - 4. Let q(f) = 3. Let a(j) = -2*c(j) - 3*q(j). Let u be a(2). Factor -2*n**5 + 6*n**u - 2*n - 2*n**4 + 3*n - 2*n**4 + 3*n**5 - 4*n**2.
n*(n - 1)**4
Let i(j) be the first derivative of 5*j**4/4 - 35*j**3/3 - 100*j**2 - 220*j - 52. Let i(n) = 0. Calculate n.
-2, 11
Let u be (9/(-18))/((-1)/54). Suppose 5*v + 12 = u. Factor -4/7*p**v + 0 - 2/7*p - 9/7*p**2.
-p*(p + 2)*(4*p + 1)/7
Let o(a) be the first derivative of -a**4/32 + 15*a**3 - 2700*a**2 + 216000*a - 306. Determine k, given that o(k) = 0.
120
Let p(a) be the third derivative of 1/16*a**5 + 0 + 0*a + 0*a**3 - 3/16*a**4 - 1/160*a**6 - a**2. Suppose p(b) = 0. Calculate b.
0, 2, 3
Let -110*l + 5/2*l**2 + 1210 = 0. Calculate l.
22
Let x(c) be the first derivative of c**5/12 + 5*c**4/2 + 30*c**3 + 15*c**2 + 1. Let m(n) be the second derivative of x(n). Factor m(f).
5*(f + 6)**2
Let m = -132 + 132. Suppose m*i = -3*x - 2*i + 2, -1 = -i. Let -1/2*g + x - 2*g**4 + 4*g**5 + 5/2*g**2 - 3*g**3 = 0. Calculate g.
-1, 0, 1/2
Let x(v) = v**2 + 6*v + 7. Let m be x(-6). Factor 5*u**2 - 1 + 5 + m*u - 6 - 4*u**3.
-(u - 2)*(u + 1)*(4*u - 1)
Let y(z) be the first derivative of z**4/16 - 11*z**3/6 - z**2/8 + 11*z/2 - 301. Suppose y(g) = 0. Calculate g.
-1, 1, 22
Let 1/8*s**5 - 15/8*s - 3/4*s**4 + 3/4*s**3 + 2*s**2 - 9/4 = 0. Calculate s.
-1, 2, 3
Let i(b) = -16*b**2 + 77*b - 403. Let r(c) = -20*c**2 + 76*c - 404. Let f(g) = 4*i(g) - 3*r(g). Factor f(o).
-4*(o - 10)**2
Suppose 6*m - 5*m - w = -11, 10 = -5*m - 4*w. Let x = m - -9. Solve -8/5*u + 0 - 8/5*u**2 - 2/5*u**x = 0.
-2, 0
Let b = 324 - 212. Suppose -14*z + 27 = -5*z. Find l such that -180*l + 57*l**z - b*l**3 - 32*l**3 - 288*l**3 - 450*l**2 - 24 = 0.
-2/5
Factor -2*v**4 + 32*v**4 - 32*v**4 - 8*v**3 + 10*v**2.
-2*v**2*(v - 1)*(v + 5)
Let i(d) be the third derivative of d**7/1575 - d**6/150 + 4*d**5/225 - 373*d**2. Factor i(w).
2*w**2*(w - 4)*(w - 2)/15
Let n(h) be the first derivative of -3*h**5/5 + 21*h**4/2 - 36*h**3 - 324*h**2 + 2592*h + 451. Determine l, given that n(l) = 0.
-4, 6
Let u be (-1 - (0/(-6))/5)*0/15. Suppose 2*i = -2*i + 16. Factor 0*o + u + 0*o**i - 3/4*o**5 + 0*o**2 + 3/4*o**3.
-3*o**3*(o - 1)*(o + 1)/4
Let g(c) be the first derivative of -2*c**3/3 - 5*c**2 + 117. Solve g(s) = 0 for s.
-5, 0
Let r(m) = 3 - 6*m + 8*m - 9 + 7*m. Suppose -3*i = -2*q + 3 + 2, -q = 2. Let n(h) = -h**2 + h - 1. Let u(c) = i*n(c) - r(c). Factor u(a).
3*(a - 3)*(a - 1)
Let f(m) be the first derivative of m**5/4 + 105*m**4/16 + 65*m**3/4 + 95*m**2/8 - 6. Factor f(z).
5*z*(z + 1)**2*(z + 19)/4
Let y = -378 + 384. Let k(n) be the first derivative of 2 + 13/2*n**2 - 5/3*n**3 + y*n. Factor k(s).
-(s - 3)*(5*s + 2)
Let j(o) be the first derivative of -o**3/36 - 3*o**2/8 - 5*o/3 + 497. Solve j(l) = 0 for l.
-5, -4
Let s be (-471)/(-18) + 2 - (-4)/(-24). Factor 19*o**2 + s*o - 9*o**2 - 6*o**2.
4*o*(o + 7)
Suppose -92*s - 141*s = -61*s - 344. Suppose 3/2 + 11/2*m - s*m**2 = 0. What is m?
-1/4, 3
Factor -5*q**2 - 12 + 5*q**2 - 10*q**2 - 12*q + 7*q**2.
-3*(q + 2)**2
Suppose 8 + 4 = 4*v. Factor v*g + 6*g**2 - 5*g**2 - 5*g + 3*g.
g*(g + 1)
Let n = 1397 - 1391. Let j(d) be the first derivative of 2/3*d - 1/6*d**2 + n - 1/9*d**3. Factor j(p).
-(p - 1)*(p + 2)/3
Let z be -2 + (-5)/10 + 4. Let r(p) be the first derivative of 6 + z*p**2 + 3/4*p - 3/4*p**4 - 1/4*p**3. Solve r(q) = 0 for q.
-1, -1/4, 1
Let 2/7*y**2 - 6/7*y - 8 = 0. Calculate y.
-4, 7
Let b(c) be the second derivative of 3*c**5/100 - 11*c**4/10 + 41*c**3/10 - 6*c**2 + 77*c. Factor b(h).
3*(h - 20)*(h - 1)**2/5
Determine b, given that -9*b + 33*b - 6*b - 22*b**2 + 129 - 125 = 0.
-2/11, 1
Let m be 6/(9 - ((-468)/(-24) + -12)). Factor 0*x - 18/7*x**3 + 6/7*x**5 - 12/7*x**2 + 0 + 0*x**m.
6*x**2*(x - 2)*(x + 1)**2/7
Suppose l - 3 = 5. Factor 27*t**4 - 6*t - 6*t**4 + 5 + 24*t**3 + 6*t**2 + 6*t**5 - l.
3*(t + 1)**4*(2*t - 1)
Determine j so that -5*j**5 - 10*j**4 + 5*j**3 + 35*j**2 - 25*j**2 - 10*j**3 + 10*j**5 = 0.
-1, 0, 1, 2
Let v(b) be the second derivative of b**6/60 + b**5/5 - 16*b**2 - 24*b. Let z(w) be the first derivative of v(w). Factor z(g).
2*g**2*(g + 6)
Let m = 1994 - 9962/5. Let -27/5 + 1/5*t**4 + 0*t - m*t**3 + 18/5*t**2 = 0. Calculate t.
-1, 3
Factor -42/5 - 3/5*q**3 + 27/5*q + 18/5*q**2.
-3*(q - 7)*(q - 1)*(q + 2)/5
Let y(n) = 6*n**2 + 4*n - 10. Let g be y(6). Let x be g/3 + (-2)/3. Factor x + 3*k**4 - 6*k + 6*k**3 - 79 - 2*k + 2*k.
3*(k - 1)*(k + 1)**3
Let q be 339/(-5) + 1 + 6/(-5). Let z = 205/3 + q. Factor z*b**3 + b + b**2 + 1/3.
(b + 1)**3/3
Factor -70 - 920*b + 80 - 296*b**3 - 4*b**4 + 298 - 122*b**2 + 1034*b**2.
-4*(b - 1)**3*(b + 77)
Let g(r) = 36*r**3 + 57*r**2 - 48*r + 15. Let b(o) = 5*o**3 + 8*o**2 - 7*o + 2. Let p(q) = 15*b(q) - 2*g(q). Let p(t) = 0. Calculate t.
-3, 0, 1
Let n(f) be the first derivative of -2*f**3/3 - 6*f**2 + 32*f + 327. Suppose n(y) = 0. What is y?
-8, 2
Suppose 2*x - 134 + 128 = 0. Let l(m) be the second derivative of 1/42*m**4 + 0*m**x - 5*m + 0 + 0*m**2. Suppose l(p) = 0. What is p?
0
Let f be 10/(-5)*(0 + -1 + 0). Solve 6*k**2 + 2*k**2 - 7*k + 2*k - 3*k**f - 10 = 0 for k.
-1, 2
Let l(m) be the first derivative of -m**4/12 + 16*m**3/3 - 128*m**2 + 4096*m/3 + 37. Factor l(f).
-(f - 16)**3/3
Let p(v) be the first derivative of -4/11*v**3 + 6/11*v**4 - 1/11*v**6 + 5 + 0*v**5 - 9/11*v**2 + 12/11*v. What is c in p(c) = 0?
-2, -1, 1
What is v in 2/3*v**2 - 1/3*v**3 + v + 0 = 0?
-1, 0, 3
Let o(s) be the first derivative of 2*s**6/15 + 3*s**5/5 + 2*s**4/3 + 21*s - 6. Let u(t) be the first derivative of o(t). Factor u(g).
4*g**2*(g + 1)*(g + 2)
Let m = -611 + 7949/13. Determine a so that 2/13*a**5 + 0 + 0*a**3 - m*a**4 + 8/13*a**2 + 0*a = 0.
-1, 0, 2
Let o(w) = -5*w**4 - 2*w + w**4 - 38 - 11*w**2 - 19*w**3 + 35. Let j(q) = q**4 - q**3 - 1. Let i(r) = 12*j(r) - 4*o(r). Solve i(p) = 0 for p.
-1, -2/7, 0
Find z such that 53*z + 26*z + 1 - 5*