n) = k(n) - 4*q(n). Solve w(z) = 0 for z.
-1, 5
Let k be (-26)/5 - -14*(-11)/(-22). Solve -9/5*g**3 - 21/5*g**2 + k*g + 3*g**4 + 6/5 = 0.
-1, -2/5, 1
Let c(j) be the third derivative of -j**6/660 + j**5/30 + 7*j**4/22 + 394*j**2. Determine w so that c(w) = 0.
-3, 0, 14
Let z(j) = -16*j**5 - 150*j**4 + 37*j**3 - 9*j**2 - 9*j + 9. Let g(f) = -f**5 + f**4 - f**3 - f**2 - f + 1. Let v(x) = 36*g(x) - 4*z(x). Factor v(o).
4*o**3*(o + 23)*(7*o - 2)
Let c = -410 + 596. Factor 2*k**3 - 5*k - k - c + 190.
2*(k - 1)**2*(k + 2)
Suppose 0 + 10/3*w**2 - 5/2*w - 5/6*w**3 = 0. What is w?
0, 1, 3
Let a be 18/(-5)*(-4 + 9) + -1. Let z = a + 22. Factor -d**2 + 1 - 1/2*d + 1/2*d**z.
(d - 2)*(d - 1)*(d + 1)/2
Let w(p) be the first derivative of 4*p**5/5 + 8*p**4 + 88*p**3/3 + 48*p**2 + 36*p - 53. Factor w(x).
4*(x + 1)**2*(x + 3)**2
Let i(m) be the first derivative of -m**4/32 - m**3/8 + 9*m**2/16 - 19*m - 12. Let u(t) be the first derivative of i(t). Factor u(y).
-3*(y - 1)*(y + 3)/8
Let x be ((-6)/4)/((-15)/10). Let s(q) be the first derivative of 1/4*q**3 - 3/4*q**2 - 9/4*q + x. Factor s(m).
3*(m - 3)*(m + 1)/4
Let -6*h - 15*h**2 + 0*h**2 - 5*h**3 - 12*h**2 + 17*h**2 + h = 0. Calculate h.
-1, 0
Let q(d) be the third derivative of -1/20*d**5 + 0*d - 12*d**2 - 1/4*d**4 + 0 + 3/2*d**3. Solve q(i) = 0 for i.
-3, 1
Let k = 9356/10539 - -4/3513. Let h be (4/6)/((-2)/(-9)). Factor -k*n + 2/9*n**h + 0*n**2 + 0.
2*n*(n - 2)*(n + 2)/9
Suppose -17*z + 16*z - j + 6 = 0, -z - 3*j + 6 = 0. Let b be z*(-6)/441*(-7)/2. Determine h so that -b*h**2 + 2/7 + 0*h = 0.
-1, 1
Suppose -26*v - 71 = -383. Suppose -2*h + 49 = 3. Factor -v*a**3 + 2*a**5 - 3*a**4 + h*a**3 - 6*a**5 - 10*a**3.
-a**3*(a + 1)*(4*a - 1)
Let f = 408 + -7748/19. Determine d so that 8/19 + 40/19*d + 42/19*d**2 - f*d**3 - 14/19*d**4 = 0.
-1, -2/7, 2
Let k be (-6)/1 + 2 + -1 + 9. Suppose 20 = 4*f + 2*t, -k*f - 8 = -0*f - 5*t. Factor 0*z**3 + 3/2*z**5 - f*z**4 + 0 + 3*z**2 - 3/2*z.
3*z*(z - 1)**3*(z + 1)/2
Let n(h) be the second derivative of h**4/54 + 23*h**3/27 + 15*h + 3. Let n(y) = 0. What is y?
-23, 0
Factor 13 - v**3 - 13*v**2 - 29*v + 63*v - 33*v.
-(v - 1)*(v + 1)*(v + 13)
Let l(v) = -v**3 - v. Let n(c) = -2*c**4 - 14*c**3 + 8*c**2 - 4*c. Let z(a) = 12*l(a) - n(a). Factor z(m).
2*m*(m - 2)*(m + 1)*(m + 2)
Let w = -225 - -225. Let p(r) be the first derivative of w*r - 5 + 0*r**3 + 1/12*r**4 - 1/6*r**2. Solve p(z) = 0 for z.
-1, 0, 1
Let q = 6 - -14. Let b be (28/q - 1)/(7/5). Suppose b*d**2 + 0*d + 2/7*d**5 + 6/7*d**3 + 6/7*d**4 + 0 = 0. Calculate d.
-1, 0
Let f(h) be the second derivative of h**6/15 + 7*h**5/20 + h**4/2 - h**3/6 - h**2 + 47*h + 1. Factor f(r).
(r + 1)**2*(r + 2)*(2*r - 1)
Determine m so that 4/7*m**2 + 960/7 + 964/7*m = 0.
-240, -1
Let 530 + 224 + v**2 - 263 - 60*v - 36 + 445 = 0. What is v?
30
Let p(c) be the third derivative of -42*c**2 + 1/2*c**4 + 0 + 0*c + 1/30*c**5 + 5/3*c**3. Let p(m) = 0. Calculate m.
-5, -1
Suppose 2*a = -3*a, 3*o + 4*a - 36 = 0. Let j = o + -8. Factor -4*g**2 + g**4 + g**5 - 5*g**4 + 3*g**3 - 4*g + 8*g**j.
g*(g - 1)*(g + 1)*(g + 2)**2
Let q(n) be the second derivative of 5*n**7/42 + 11*n**6/15 + 33*n**5/20 + 5*n**4/3 + 2*n**3/3 + 24*n + 2. Solve q(s) = 0.
-2, -1, -2/5, 0
Let c be (-1)/(-2) + ((-406)/(-35) - 12). Let f(g) be the third derivative of 1/40*g**6 + 7*g**2 + 0 + 1/8*g**4 + 0*g**3 + c*g**5 + 0*g. Solve f(t) = 0.
-1, 0
Let o(p) = 10*p + 100. Let c be o(-10). Let y(r) be the first derivative of 4 - 2/7*r + 2/21*r**3 + c*r**2. Suppose y(u) = 0. Calculate u.
-1, 1
Let o = -511/2 - -256. Let p(r) be the first derivative of -9/4*r**4 - 6 + 0*r + 0*r**2 + 2*r**3 + o*r**6 + 0*r**5. Factor p(d).
3*d**2*(d - 1)**2*(d + 2)
Solve -4/3 + 10/3*w**2 - w**3 + 3*w = 0.
-1, 1/3, 4
Let y(b) be the third derivative of 0*b**3 + 1/210*b**5 + 0 - 1/420*b**6 + 0*b + 0*b**4 + 1/1176*b**8 - 1/735*b**7 + 22*b**2. Suppose y(f) = 0. What is f?
-1, 0, 1
Let j(g) be the second derivative of 5*g**4/12 - 25*g**3/6 + 15*g**2 + 33*g. Factor j(f).
5*(f - 3)*(f - 2)
Let v(o) = 13*o**3 - o**2 - 4*o + 1. Let a(z) be the second derivative of 3*z**5/20 - z**3/6 + 13*z. Let q(c) = -9*a(c) + 2*v(c). Let q(h) = 0. What is h?
-2, -1, 1
Let l(r) = -r**3 + r**2 + r - 1. Let x be l(-1). Factor -2*b**3 - 58*b + 58*b + x*b**4 - 2*b**4.
-2*b**3*(b + 1)
Let u(n) be the first derivative of -n**3/3 - 4*n**2 - 16*n - 184. What is q in u(q) = 0?
-4
Let q(h) = -33*h**4 + 228*h**3 + 18*h**2 + 6*h. Let d(v) = -4*v**4 - v**3 + v**2 - v. Let b(x) = -6*d(x) - q(x). Suppose b(s) = 0. What is s?
-2/19, 0, 4
Let h(r) be the second derivative of r**6/1620 - r**5/540 + 5*r**3/6 - 45*r. Let l(u) be the second derivative of h(u). Find x, given that l(x) = 0.
0, 1
Let o(c) = -9*c**2 - 91*c - 20. Let y(u) = 18*u**2 + 179*u + 38. Let r(q) = 11*o(q) + 6*y(q). Factor r(l).
(l + 8)*(9*l + 1)
Let v(x) = -269*x + 34. Let k(f) = f**2 - 4. Let j(w) = 5*k(w) - v(w). Let j(i) = 0. Calculate i.
-54, 1/5
Let t be (141 - 4)*(9/(-6) + 1). Let q = 69 + t. Find p, given that -1/2*p**2 + q*p - 1/2*p**3 + 1/2 = 0.
-1, 1
Factor -7496192/5 + 681472/5*h - 23232/5*h**2 - 2/5*h**4 + 352/5*h**3.
-2*(h - 44)**4/5
Let a(p) be the first derivative of p**5/25 + p**4/5 + 4*p**3/15 + 7. What is v in a(v) = 0?
-2, 0
Let g(y) be the third derivative of y**6/40 - 11*y**5/20 + 4*y**4 - 14*y**3 + 10*y**2. Factor g(f).
3*(f - 7)*(f - 2)**2
Solve -7/4*c**3 + 1/2*c**4 + 7/4*c - 3/4 + 1/4*c**2 = 0 for c.
-1, 1/2, 1, 3
Factor 40/3 + 8*a + 2/3*a**2.
2*(a + 2)*(a + 10)/3
Suppose 2*o + 4 - 30 = 0. Factor 7*n**2 - 3*n**2 - o*n + 3*n + 9*n - 3*n**3.
-n*(n - 1)*(3*n - 1)
Let n(f) be the first derivative of -f**5/5 + f**4/4 - f**2/2 + f + 32. Let z(q) = 4*q**4 - q - 3. Let k(p) = -6*n(p) - 2*z(p). Find h, given that k(h) = 0.
-2, 0, 1
Let f(u) be the third derivative of u**5/195 - 7*u**4/52 + 40*u**3/39 - 284*u**2. Factor f(s).
2*(s - 8)*(2*s - 5)/13
Let g be ((-696)/140)/(32/(-10)). Let p = -9/8 + g. Let -3/7*z + p*z**4 + 9/7*z**2 + 0 - 9/7*z**3 = 0. Calculate z.
0, 1
Let z(c) be the third derivative of 2662/21*c**3 + 1/210*c**6 + 0 + 11/35*c**5 + 121/14*c**4 + 0*c - 41*c**2. What is u in z(u) = 0?
-11
Let w(k) = 98*k + 688. Let n be w(-7). Factor h**n + 2/3 - 5/3*h.
(h - 1)*(3*h - 2)/3
Let s(t) be the second derivative of 2*t + 5/8*t**3 + 9/8*t**2 + 0 + 1/16*t**4 - 3/80*t**5. Find v, given that s(v) = 0.
-1, 3
Let d = -5 + 42. Let b be d/13 + 6/39. Solve -l**b + 3*l**3 + 18*l + 7*l**2 + 5*l**2 = 0.
-3, 0
Let u = 311 - 80. Factor -24*i + u*i**2 - 14 + 2 + 48*i.
3*(7*i + 2)*(11*i - 2)
Let v(c) be the third derivative of -c**6/420 + c**5/70 + 3*c**4/28 - 9*c**3/7 + 13*c**2. Solve v(t) = 0.
-3, 3
Let v(d) = 3*d**5 - 2*d**4 - 3*d**3 - 3*d**2 + 5*d. Let s(i) = 8*i**5 - 6*i**4 - 8*i**3 - 8*i**2 + 14*i. Let c(a) = -5*s(a) + 14*v(a). Factor c(x).
2*x**2*(x - 1)*(x + 1)**2
Let z = 1067/604 + -78/151. Let 0 + z*m**4 - 15/4*m + 15/4*m**3 - 5/4*m**2 = 0. What is m?
-3, -1, 0, 1
Let b(k) be the third derivative of k**7/420 - 7*k**6/80 + 19*k**5/40 - 55*k**4/48 + 3*k**3/2 + 381*k**2. Suppose b(y) = 0. What is y?
1, 18
Factor 0 + 0*h + 1/10*h**2.
h**2/10
Let m be (-2)/(-4)*-10*4/(-10). Factor -p + p**2 + 12*p**4 - 8*p**4 - m*p**4 - 3*p**4 + p**3.
-p*(p - 1)**2*(p + 1)
Let k(q) = -274 - 52*q**2 + 142 - 700 + 416*q. Let m(d) = -8*d**2 + 64*d - 128. Let u(f) = 5*k(f) - 32*m(f). What is y in u(y) = 0?
4
Let d(t) be the second derivative of 0 - 36*t**2 + 46*t**3 - 21*t + 9/5*t**5 + 52/3*t**4. Factor d(y).
4*(y + 3)**2*(9*y - 2)
Let p(m) = -28*m**2 + 767*m - 23814. Let r(g) = -10*g**2 + 256*g - 7938. Let l(a) = -4*p(a) + 11*r(a). What is d in l(d) = 0?
63
Suppose -83 = -98*a + 113. Let u(i) be the first derivative of -5 - i**5 - 5/3*i**3 + 10*i - 15/2*i**a + 15/4*i**4. Factor u(r).
-5*(r - 2)*(r - 1)**2*(r + 1)
Let k(g) be the third derivative of g**7/14 + 7*g**6/24 + 5*g**5/12 + 5*g**4/24 + 114*g**2. Solve k(c) = 0 for c.
-1, -1/3, 0
Suppose 21/2*y**3 - 15/2*y**4 + 0*y + 0 - 9/2*y**2 + 3/2*y**5 = 0. What is y?
0, 1, 3
Let j(g) be the second derivative of 1/2*g**4 + g**2 + 9/10*g**5 + 18*g + 2 - 5/3*g**3. Let j(r) = 0. Calculate r.
-1, 1/3
Suppose 3/4*t**2 + 1/4*t**4 + 1/4*t + 3/4*t**3 + 0 = 0. Calculate t.
-1, 0
Factor -106722/17*k**2 - 54/17 + 913066/17*k**3 + 4158/17*k.
2*(77*k - 3)**3