f n(f). Solve g(z) = 0.
0, 1/4, 1
Let h = 790 - 47399/60. Let f(z) be the second derivative of h*z**5 + 0 + 0*z**2 - 10*z - 1/9*z**3 + 1/36*z**4. Factor f(n).
n*(n - 1)*(n + 2)/3
Suppose 4*f + 6 = 14. Let b(k) = -4*k**2 - 5*k + 3. Let x(l) = -3*l**2 - 6*l + 3. Let y(j) = f*x(j) - 3*b(j). Factor y(a).
3*(a + 1)*(2*a - 1)
Suppose 215*b = 229*b - 63 - 7. Let 1/4*d - 1/4*d**4 - 1/2*d**3 + 1/4*d**b - 1/4 + 1/2*d**2 = 0. What is d?
-1, 1
Factor 7/2*h**3 + 0 + 0*h + h**2 - 2*h**5 + 2*h**4.
-h**2*(h - 2)*(2*h + 1)**2/2
Let t(l) = -2*l**3 - l**2 - l. Let k(m) = -20*m**4 - 66*m**3 - 62*m**2 + 30*m + 16. Let c(f) = -k(f) - 6*t(f). Suppose c(j) = 0. Calculate j.
-2, -2/5, 1/2
Let -16/3 - 4*v**2 - 2/3*v**3 - 8*v = 0. Calculate v.
-2
Let a(g) be the third derivative of -g**7/70 + 567*g**6/40 - 107163*g**5/20 + 6751269*g**4/8 + 4*g**2 + 14. Solve a(z) = 0 for z.
0, 189
Let a(i) = -13*i**2 + 29*i - 61. Let b = -64 + 60. Let g(w) = -7*w**2 + 14*w - 31. Let s(d) = b*a(d) + 7*g(d). Factor s(f).
3*(f - 3)**2
Let p(j) = 9*j - 100. Let q be p(20). Let l = q - 77. Find c, given that 0 - 2/7*c + 0*c**2 + 2/7*c**l = 0.
-1, 0, 1
Let j(p) = 30*p + p**4 - 29*p + p**3 + 5*p**2 - 6*p**2. Let z(d) = 4*d**4 + 5*d**3 - 3*d**2 + 5*d - 1. Let h(i) = 15*j(i) - 3*z(i). Factor h(k).
3*(k - 1)**2*(k + 1)**2
Let r(c) be the second derivative of -5/12*c**3 - 25*c - 1/16*c**4 - 3/8*c**2 + 0. Find i, given that r(i) = 0.
-3, -1/3
Let q = 30574 + -30568. Factor 27/4*k - q - 3/4*k**2.
-3*(k - 8)*(k - 1)/4
Let s(a) be the third derivative of 0*a**4 + 0*a**3 - 1/80*a**6 - 5*a**2 + 0*a - 3/40*a**5 + 0. Find h such that s(h) = 0.
-3, 0
Let j = -1/359 + 362/1077. Let b(h) be the first derivative of -4/3*h + 2/9*h**3 - 4 - j*h**2. Let b(m) = 0. What is m?
-1, 2
Suppose 3*u + 79 = 82. Let j(d) = -3*d + 6. Let g be j(u). Let 2/3*b**4 + 2/3 + 3*b**3 + 14/3*b**2 + g*b = 0. What is b?
-2, -1, -1/2
Let j be ((-246)/(-861) - (-86)/(-7))/(-7). Let -j + 2/7*d**2 + 10/7*d = 0. What is d?
-6, 1
Factor -36*n - 170*n**2 - 324 + 88*n**2 + 81*n**2.
-(n + 18)**2
Let r(i) = i**2 + 34*i + 97. Let u(c) = 8*c**2 + 304*c + 872. Let k(y) = -28*r(y) + 3*u(y). Factor k(t).
-4*(t + 5)**2
Let y(t) = 2*t**2 + t. Let d(m) = 48*m**2 - 2*m. Let r(i) = -d(i) + 4*y(i). Factor r(u).
-2*u*(20*u - 3)
Let x be (-176)/132 - 16/(-3). Let t(y) be the third derivative of 0*y**3 + 0*y**x + 0 - 1/60*y**6 - 1/42*y**7 + 0*y**5 - 3*y**2 + 0*y + 1/48*y**8. Factor t(z).
z**3*(z - 1)*(7*z + 2)
Let f(z) be the second derivative of -z**6/120 + z**5/20 - z**4/8 + z**3/6 - z**2/8 - 100*z. Factor f(c).
-(c - 1)**4/4
Let r(j) be the third derivative of j**6/6 + 11*j**5/3 + 205*j**4/24 + 25*j**3/3 + 19*j**2. Solve r(d) = 0.
-10, -1/2
Let w(u) = u - 4. Let z be w(7). Let g(f) be the first derivative of -13*f**z + 8 + 9*f**3 + f**2 - f**2 - 2*f**2. Suppose g(b) = 0. What is b?
-1/3, 0
Let p be ((-4)/(-8) - -1)*-2. Let c be 0 - (p + 5)/(-2). Find q such that 3/2*q**2 + 1/2*q - c = 0.
-1, 2/3
Let g = 1/52 - 1/2756. Let t = g - -46/371. Factor -3/7*u**2 + 0*u + 0 - t*u**3.
-u**2*(u + 3)/7
Let 2*p - 54*p - 48*p**2 + 0*p**3 + 4*p**3 = 0. Calculate p.
-1, 0, 13
Factor 20*w**2 + 10*w - 5*w**3 + 31 - 12 + 11 + 45*w.
-5*(w - 6)*(w + 1)**2
Let s(u) = 14*u**2 + 2890*u + 151468. Let r(l) = -2*l**2 - 413*l - 21638. Let z(f) = -44*r(f) - 6*s(f). Factor z(p).
4*(p + 104)**2
Let g = -28350 - -28354. Suppose 8/7*u**g - 4/7 - 4/7*u**2 + 10/7*u - 2/7*u**5 - 8/7*u**3 = 0. What is u?
-1, 1, 2
Suppose 7*t - 12 = t. Solve -35*d + 65*d**2 - 50 + 65*d**2 - 135*d**t = 0.
-5, -2
Let o(a) = a**2 - 15*a + 4. Let y be o(14). Let c = y + 13. Determine v so that 2*v**2 - c*v**4 + 2*v**4 - 2 + v**2 + v**3 - v = 0.
-1, 1, 2
Let g(b) = 429*b**2 - 279*b + 48. Suppose 2*j = -4*j + 12. Let t(u) = -107*u**2 + 70*u - 12. Let i(h) = j*g(h) + 9*t(h). Factor i(w).
-3*(5*w - 2)*(7*w - 2)
Let a(g) = -g**2 - 45*g - 147. Let i(j) = 12*j**2 + 496*j + 1616. Let h(f) = 32*a(f) + 3*i(f). Find r, given that h(r) = 0.
-6
Let r(c) be the first derivative of -c**6/9 + 4*c**5/15 + 5*c**4/6 - 20*c**3/9 - 4*c**2/3 + 16*c/3 - 445. Determine k, given that r(k) = 0.
-2, -1, 1, 2
Let s(z) = 9*z**4 + 14*z**3 + 89*z**2 - 264*z + 144. Let p(w) = -w**4 + w**3 + w**2. Let x(h) = -40*p(h) - 5*s(h). Determine m so that x(m) = 0.
-12, 1
Suppose -14*a = -10*a - 36. Let t(s) be the second derivative of 2*s**3 + 0 - 2*s + 1/6*s**4 + a*s**2. Factor t(g).
2*(g + 3)**2
Let o be (-4)/(-12)*2/70. Let b(h) be the third derivative of 0*h - o*h**5 + 1/420*h**6 - 1/84*h**4 + 0 + h**2 + 2/21*h**3. Factor b(g).
2*(g - 2)*(g - 1)*(g + 1)/7
Let z(w) = w**3 - 18*w**2 + 79*w + 14. Let d be z(10). Let r(f) be the first derivative of 2/3*f**3 + 1/4*f + 1 - 1/4*f**d - 5/8*f**2. Factor r(l).
-(l - 1)*(2*l - 1)**2/4
Let w(b) be the third derivative of -b**7/1575 + b**6/45 - 2*b**5/9 + 49*b**2. Solve w(p) = 0 for p.
0, 10
What is u in 1014/5 + 2/15*u**5 + 1732/3*u**2 + 598*u + 172*u**3 - 10*u**4 = 0?
-1, 39
Let p = -21 - -21. Let w(g) be the second derivative of 0*g**3 + 0 - g**2 + p*g**5 - g - 1/15*g**6 + 1/3*g**4. Solve w(s) = 0 for s.
-1, 1
Let u(h) = -2*h**3 + 27*h**3 - 28 - 65*h - 12. Let z(a) = -2*a**3 + 5*a + 3. Let w(l) = 3*u(l) + 40*z(l). Determine b so that w(b) = 0.
-1, 0, 1
Let s(d) = -10*d**2 - 972*d - 51984. Let w(k) = -9*k**2 - 962*k - 51984. Let f(b) = 5*s(b) - 6*w(b). Factor f(j).
4*(j + 114)**2
Suppose -25 = -7*w + 2*w. Suppose -w = 5*j - 6*j. Factor -j*s**2 - 6*s - 10*s**2 + 4*s - 8*s - 5*s**3.
-5*s*(s + 1)*(s + 2)
Let z(b) be the third derivative of b**7/70 + b**6/8 + 3*b**5/20 - 9*b**4/8 - 568*b**2. Factor z(n).
3*n*(n - 1)*(n + 3)**2
Let j = 7583 - 37912/5. Factor j*l**2 - 13/5*l - 2.
(l - 5)*(3*l + 2)/5
Let i(a) = a**3 - a + 2. Let j be -1 + 3 + 1 + 9 + -11. Let n be i(j). Let 0 - 2/3*v - 2/3*v**n = 0. Calculate v.
-1, 0
Suppose 143 = 2*t - 183. Let i = -160 + t. Find v, given that -1/4*v**i + 0 + 0*v + 1/4*v**2 = 0.
0, 1
Let 40/3*c - 1/6*c**2 - 800/3 = 0. What is c?
40
Let d(j) = 3*j - j**5 - 79*j**4 - j**3 + 41*j**4 - 2*j**2 + 37*j**4 - j**3 + 3. Let b(a) = -a**5 - a**2 + a + 1. Let u(m) = -3*b(m) + d(m). Factor u(v).
v**2*(v - 1)*(v + 1)*(2*v - 1)
Let y = -9/7 - -85/28. Let m(n) be the second derivative of 3/20*n**5 + 27/2*n**2 + 15/2*n**3 + 7*n + y*n**4 + 0. Let m(g) = 0. What is g?
-3, -1
Let r(q) be the second derivative of q**6/120 + q**5/16 - 7*q**4/16 + 23*q**3/24 - q**2 - 108*q + 2. Determine l so that r(l) = 0.
-8, 1
Let j(f) be the second derivative of 0 - 44/3*f**3 + 9*f - 37/10*f**5 + 7/15*f**6 + 8*f**2 + 11*f**4. Factor j(m).
2*(m - 2)**2*(m - 1)*(7*m - 2)
Let w(r) = -10*r**4 - 65*r**3 - 30*r**2 + 115*r - 10. Let u(a) = 5*a**4 + 33*a**3 + 16*a**2 - 58*a + 4. Let z(h) = 5*u(h) + 2*w(h). Solve z(v) = 0.
-6, -2, 0, 1
Find r such that 4*r**2 + 42/11*r**3 + 4/11*r**4 - 48/11 - 40/11*r - 2/11*r**5 = 0.
-2, -1, 1, 6
Let z(i) be the third derivative of -i**7/70 + i**6/24 + i**5/10 - i**4/3 + 6*i**2 + 3*i. Find u such that z(u) = 0.
-4/3, 0, 1, 2
Let p(x) be the second derivative of -3*x**5/20 + 4*x**4/3 - 5*x**3/2 - 9*x**2 - 41*x. Factor p(b).
-(b - 3)**2*(3*b + 2)
Let h(c) be the third derivative of c**5/12 + 5*c**4/3 + 40*c**3/3 + 197*c**2. Factor h(j).
5*(j + 4)**2
Factor -1/10*q**2 - 4/5 - 3/5*q.
-(q + 2)*(q + 4)/10
Let z(l) be the third derivative of -l**7/315 - 2*l**6/45 - l**5/5 - 4*l**4/9 - 5*l**3/9 + 304*l**2. What is o in z(o) = 0?
-5, -1
Let n(v) be the second derivative of -v**6/105 - 19*v**5/70 - 5*v**4/6 - 17*v**3/21 - 547*v. Factor n(o).
-2*o*(o + 1)**2*(o + 17)/7
Factor 4/3*l**2 - 1/3*l**5 - 3*l**3 + 2*l**4 + 0 + 0*l.
-l**2*(l - 4)*(l - 1)**2/3
Factor 3*n**5 - 9*n**2 + 0*n**4 - 21*n**3 - 6*n**5 - 15*n**4.
-3*n**2*(n + 1)**2*(n + 3)
Let d(h) = -3*h + 5. Let k(p) = 4*p - 4. Let j(t) = 3*d(t) + 2*k(t). Let y be j(7). Determine n so that y + 0*n - 2*n**3 + 3/2*n**4 + 1/2*n**2 = 0.
0, 1/3, 1
Let q(r) = r**5 + r**4 - r**2 + r. Let v(b) = b**5 + b**4 + b**3 - b**2 + 2*b. Let p(c) = 6*q(c) - 3*v(c). Suppose p(w) = 0. What is w?
-1, 0, 1
Determine b, given that b + 5*b**3 + 7*b**3 - 15*b**3 + b**4 - b = 0.
0, 3
Let q = 495 - 3453/7. Factor -4/7*r**4 - q*r**2 + 4/7*r + 0 + 12/7*r**3.
-4*r*(r - 1)**3/7
Factor 138*f**2 + 1135671*f + 3*f**3 - 1135671*f.
3*f**2*(f + 46)
Let r be (-2)/(-1) + 3 - (2 + 3). L