f in u(f) = 0?
-2, 2
Let n(t) = -8*t**3 - 40*t**2 + 456*t - 782. Let z(m) = -20*m**3 - 100*m**2 + 1140*m - 1956. Let u(j) = 12*n(j) - 5*z(j). Find h, given that u(h) = 0.
-11, 3
Let x(u) be the second derivative of -7*u**4/48 - 17*u**3/24 - 3*u**2/4 - 29*u + 2. Factor x(w).
-(w + 2)*(7*w + 3)/4
Let w(o) be the first derivative of 5*o**6/6 + 16*o**5 + 80*o**4 + 530*o**3/3 + 395*o**2/2 + 110*o + 23. Factor w(u).
5*(u + 1)**3*(u + 2)*(u + 11)
Let o(d) be the second derivative of -d**4/12 - 85*d**3/24 - 21*d**2/8 - 248*d. Solve o(c) = 0.
-21, -1/4
Let d(y) = 2*y - 14. Let l = 19 - 11. Let q be d(l). Solve 2*x + 0*x**3 - 2*x**4 - 7*x**q + 2*x**3 + 5*x**3 = 0 for x.
0, 1/2, 1, 2
Let h(v) be the first derivative of -v**6/12 + 7*v**5/20 + v**4/8 - 4*v**3/3 + 9*v/4 - 101. Let h(p) = 0. What is p?
-1, 1, 3/2, 3
Let v(n) be the second derivative of -1/40*n**5 - 5/12*n**3 - 10*n + 1/2*n**2 + 0 + 1/6*n**4. Factor v(r).
-(r - 2)*(r - 1)**2/2
Let m be -4*(6/(-18) - 8/(-48)). Solve -m*r + 0*r**2 + 0 + 2/3*r**3 = 0 for r.
-1, 0, 1
Factor 0 - 44/7*u**2 - 96/7*u + 2/7*u**3.
2*u*(u - 24)*(u + 2)/7
Let x(d) = 12*d**4 + 111*d**3 + 276*d**2 + 321*d + 159. Let a(l) = -3*l**4 - 28*l**3 - 69*l**2 - 80*l - 40. Let h(i) = -15*a(i) - 4*x(i). Factor h(c).
-3*(c + 1)*(c + 2)**2*(c + 3)
Let y(s) be the first derivative of s**8/2240 - 3*s**7/2240 + s**6/960 - s**3 - 24. Let p(g) be the third derivative of y(g). Suppose p(o) = 0. Calculate o.
0, 1/2, 1
Let j(w) = 6*w**4 - 4*w**3 + 19*w**2 - 20*w - 41. Let d(p) = 5*p**4 - 3*p**3 + 18*p**2 - 20*p - 42. Let m(z) = -7*d(z) + 6*j(z). Suppose m(q) = 0. Calculate q.
-2, 3, 4
Let u(m) be the first derivative of -m**6/21 + 6*m**5/35 + 8*m**4/7 + 8*m**3/7 + 323. Solve u(o) = 0 for o.
-2, -1, 0, 6
Let h(z) be the first derivative of 15 - 2/9*z - 8/3*z**3 - 4/3*z**2. Factor h(o).
-2*(6*o + 1)**2/9
Let b(q) be the third derivative of -q**5/60 - 35*q**4/12 - 1225*q**3/6 + 7*q**2. Factor b(o).
-(o + 35)**2
Let u be (-15 + 15)*((-12)/8 - -2). Factor 0 + 2/9*d**5 + 0*d + 4/9*d**4 + 2/9*d**3 + u*d**2.
2*d**3*(d + 1)**2/9
Factor -2/3*o + 2/9*o**2 + 0.
2*o*(o - 3)/9
Let p = -5 + 9. Let u be 2 + (-4 - (-8)/p). Find t such that -2*t**4 - 6*t**3 + 0 + 20*t**3 + u - 30*t**2 + 18*t = 0.
0, 1, 3
Let 200*k**2 - 41*k**2 - 143*k**3 - k + 147*k**4 - 4*k - 157*k**3 - k = 0. Calculate k.
0, 2/49, 1
Suppose 0 = -21*r + 4*r + 102. What is s in 8*s - r + 0*s + 4*s - 3*s**3 - 3*s = 0?
-2, 1
Let u(c) be the first derivative of -1/30*c**4 + 0*c - 25 + 0*c**2 - 8/45*c**3. Factor u(d).
-2*d**2*(d + 4)/15
Let q(a) be the second derivative of a**7/240 + a**6/48 + 3*a**5/80 - 4*a**4/3 + a. Let z(c) be the third derivative of q(c). Find x, given that z(x) = 0.
-1, -3/7
Let r(m) = -2*m**2 + 32*m - 10. Let y(w) = 9*w**2 - 132*w + 39. Let j(l) = 21*r(l) + 5*y(l). What is c in j(c) = 0?
-5, 1
Let z be (-2 + 9/6)/((-1)/8). Suppose -5*l = 2*x - 0*x - 35, -3*l - z*x = -35. Find d, given that 0*d - 2/11*d**3 - 2/11*d**4 + 0*d**2 + 0 + 4/11*d**l = 0.
-1/2, 0, 1
Let x be (47/4)/(3985/3188). Let -4/5*j**3 - x*j**2 - 132/5*j + 36/5 = 0. Calculate j.
-6, 1/4
Let r(k) = 8*k**3 + 19*k**2 - 168*k + 132. Let j(o) = 17*o**3 + 36*o**2 - 337*o + 263. Let p(c) = -3*j(c) + 7*r(c). Factor p(x).
5*(x - 3)*(x - 1)*(x + 9)
Let y(c) be the second derivative of -c**9/1890 - c**8/336 - 2*c**7/315 - c**6/180 + 7*c**4/12 - 13*c. Let x(l) be the third derivative of y(l). Factor x(g).
-4*g*(g + 1)**2*(2*g + 1)
Let c(k) be the first derivative of -5/6*k**6 + 5*k**4 + 6 + 0*k**5 - 10*k + 10/3*k**3 - 15/2*k**2. Suppose c(h) = 0. What is h?
-1, 1, 2
Let o be (0/1)/(-2 - -1). Suppose o*u = -5*u + 10. Determine i, given that 3*i**4 + 0*i**2 - 3*i**2 + 3*i**3 - 3*i**u + 0*i**2 = 0.
-2, 0, 1
Factor 7*y - 476*y**2 + 948*y**2 - 30 - 3*y**3 + 14*y - 460*y**2.
-3*(y - 5)*(y - 1)*(y + 2)
Let j = 55 - 59. Let w(c) = c**2 + c - 1. Let y(h) = -25*h**3 + 11*h**2 + 6*h + 4. Let a(z) = j*w(z) - y(z). Factor a(q).
5*q*(q - 1)*(5*q + 2)
Let s(l) be the first derivative of -1 - 3/14*l**4 + 4/7*l**5 - 1/7*l**6 - 8/7*l**3 + 4/7*l**2 + 0*l. Find x such that s(x) = 0.
-1, 0, 1/3, 2
Solve -2/3*k**3 + 2/3*k + 1/3*k**2 + 0 - 1/3*k**4 = 0 for k.
-2, -1, 0, 1
Let h(i) be the first derivative of -39 + 6/25*i**5 - 1/10*i**6 + 0*i**3 + 0*i + 0*i**2 - 3/20*i**4. Suppose h(r) = 0. What is r?
0, 1
Let q(a) = -a**3 + 12*a**2 + 7*a - 29. Let k be q(11). Let x = 171 - k. Suppose 2/7 + 4/7*r + 2/7*r**x = 0. What is r?
-1
Let j(g) be the third derivative of -g**6/280 - 17*g**5/140 - 11*g**4/14 - 2*g**3 + 655*g**2. Let j(y) = 0. What is y?
-14, -2, -1
Let w(d) be the third derivative of 16/525*d**7 - 11/75*d**6 + 16*d**2 - 3/10*d**4 + 0 + 0*d + 8/25*d**5 + 0*d**3 - 1/420*d**8. Solve w(j) = 0.
0, 1, 3
Let l(d) = -7*d**4 + 19*d**3 + 137*d**2 + 291*d + 208. Let m(q) = -6*q**4 + 18*q**3 + 136*q**2 + 292*q + 208. Let i(r) = -4*l(r) + 5*m(r). Factor i(x).
-2*(x - 13)*(x + 2)**3
Suppose 3*r + 106 = 4*u - 5*u, -2*r - 64 = 4*u. Let n be r/(-20) - (-1)/5. Let -2*h**5 - 9*h**4 + 22*h**2 - 9*h**3 - 25*h**n - h**5 = 0. What is h?
-1, 0
Determine n so that 0*n + 2/15*n**5 + 0 + 6/5*n**2 + 14/15*n**4 + 2*n**3 = 0.
-3, -1, 0
Let s(y) be the first derivative of 0*y**3 - 5 + 0*y + 1/24*y**4 + 1/2*y**2 - 1/120*y**5. Let i(j) be the second derivative of s(j). Factor i(f).
-f*(f - 2)/2
Let f be ((-2)/84)/(-12 + 11). Let i(b) be the third derivative of 4/105*b**6 + 0 + f*b**4 + 0*b**3 + 0*b + 6*b**2 + 11/210*b**5 + 1/105*b**7. Factor i(h).
2*h*(h + 1)**2*(7*h + 2)/7
Suppose -7*v + 3*v + 16 = 0. Suppose 5*g + 31 = 41. Let 3/5*o**g - 6/5*o - 9/5*o**v + 12/5*o**3 + 0 = 0. What is o?
-2/3, 0, 1
Let k be -2 + -4 + (-518)/(-24). Let w = -43/3 + k. Solve 5/4 + w*q**4 + 15/2*q**2 + 5*q**3 + 5*q = 0 for q.
-1
Let s(l) be the second derivative of -1/60*l**5 + 5*l - 1/180*l**6 + 0*l**2 - 2/3*l**3 + 0*l**4 + 0. Let k(b) be the second derivative of s(b). Factor k(d).
-2*d*(d + 1)
Suppose -12*d - 4*c + 8 = -8*d, 3*c + 6 = 0. Let u(g) be the first derivative of -3*g - 1 + 3/2*g**d + 27/4*g**2 - 6*g**3. Factor u(p).
3*(p - 2)*(2*p - 1)**2/2
Let f(d) = d**3 + 40*d**2 - 236*d - 492. Let m be f(-45). Let 1/10*v**m - 3/5 + 1/10*v + 2/5*v**2 = 0. Calculate v.
-3, -2, 1
Let v(h) = -h**3 - 10*h**2 + 10*h - 6. Let o be v(-11). Find r, given that -24*r**3 - 26*r**3 - 20*r**2 - 7*r + 0*r + o*r = 0.
-1/5, 0
Let k = 433 - 430. Let i(x) be the second derivative of 1/14*x**4 + 2/7*x**2 + 5/21*x**k + 5*x + 0. Factor i(s).
2*(s + 1)*(3*s + 2)/7
Let d(p) be the second derivative of 0*p**3 + 0*p**2 - 1/24*p**4 + 1/120*p**6 - 55*p - 1/80*p**5 + 0. Determine l so that d(l) = 0.
-1, 0, 2
Let x = -1985 + 29777/15. Factor 2/15*u + 0 - x*u**2.
-2*u*(u - 1)/15
Let o(k) = 3*k**2 - 49*k + 34. Let q(j) = 16*j**2 - 246*j + 164. Let d(w) = 11*o(w) - 2*q(w). Find c such that d(c) = 0.
1, 46
Let q(n) be the second derivative of -21*n + 0*n**5 + 0*n**2 - 2/105*n**6 + 1/7*n**4 + 0 + 4/21*n**3. Let q(x) = 0. Calculate x.
-1, 0, 2
Let x be 22/9 + (11 - 13). Let t = -961 + 2885/3. Determine n so that 2/9*n - x + t*n**2 = 0.
-1, 2/3
Let c(v) be the third derivative of -13/210*v**7 + 1/120*v**6 - 3/4*v**4 + 0*v**3 - 1/112*v**8 - 10*v**2 + 11/20*v**5 + 0*v + 0. Let c(l) = 0. Calculate l.
-3, 0, 2/3, 1
Let q(d) = 7*d**2 + 10*d + 5. Let k(l) = -3*l**2 - l + 1. Let t(s) = 2*k(s) + q(s). Find r such that t(r) = 0.
-7, -1
Let c(t) = 330*t + 1984. Let j be c(-6). What is s in 0*s + 2/5*s**2 + 0 + 2/5*s**j - 4/5*s**3 = 0?
0, 1
Suppose 2*a + 2*f - 2 = 0, -3*a + 0*a + 3*f + 21 = 0. Find y, given that -10*y - 16*y**3 - 5*y**a + 15*y**2 + 16*y**3 = 0.
-2, 0, 1
Let q(s) be the first derivative of s**5/30 - s**3/3 + 2*s**2/3 - 6*s + 9. Let k(z) be the first derivative of q(z). Factor k(a).
2*(a - 1)**2*(a + 2)/3
Let a(i) = -2*i**2 - 28*i - 19. Let v be a(-13). Let m be (-4)/(-28)*2 - 2/v. Find g such that 3/8*g**3 + m + 3/8*g**2 - 3/8*g**4 - 3/8*g = 0.
-1, 0, 1
Let t(h) be the second derivative of -h**10/75600 + h**8/4200 + h**4/4 + 13*h. Let f(r) be the third derivative of t(r). Factor f(u).
-2*u**3*(u - 2)*(u + 2)/5
Suppose -20 = 5*v, -i - 3*v = -4*i + 18. Let a(d) be the third derivative of 0*d**3 + 1/20*d**5 + 0*d + i*d**2 - 1/4*d**4 + 0. Factor a(m).
3*m*(m - 2)
Let v be 14/3 - (-1)/3. Factor -2*l**4 - 3*l**4 - 13*l**v + 8*