- -49. Determine z so that h - 5*z**2 - 40 = 0.
0
Let f(g) be the third derivative of 0*g + 0 + 1/16*g**4 - 1/6*g**3 - 1/120*g**5 + 6*g**2. Factor f(q).
-(q - 2)*(q - 1)/2
Let m be (-1228)/(-20)*(-10)/6. Let u = m - -103. Factor u - 1/3*k**2 + 1/3*k.
-(k - 2)*(k + 1)/3
Let n(l) = l**3 - 2*l**2 - 8*l - 3. Let v be n(-5). Let x be 4 + (v/42 - 0). Suppose 1/7*f**2 - x*f + 6/7 = 0. Calculate f.
2, 3
Let v = -15 - -24. Let z(t) = t + 6. Let h be z(v). Factor 0 + 4 - h*m**3 + 36*m**3 + 29*m**2 - 24*m.
(m + 2)*(3*m - 1)*(7*m - 2)
Suppose -5*q - 7 = -32, 0 = n + 5*q - 25. Find j, given that 2/5*j**5 + 4/5*j - 2/5*j**4 - 6/5*j**3 + 2/5*j**2 + n = 0.
-1, 0, 1, 2
Let t(z) = -4*z**3 - 12*z**2 - 8*z + 20. Let y(c) = c**2 + c - 1. Suppose -17 = 5*x - 3*d, x - 2 = d - 7. Let f(s) = x*t(s) - 20*y(s). Factor f(u).
4*u*(u - 3)*(u + 1)
Let h = 156 + -152. Let f be (h - (1 + 3))/1. Factor 2/7*n**4 + 0*n + f*n**3 + 2/7 - 4/7*n**2.
2*(n - 1)**2*(n + 1)**2/7
Let m be -1*(-3)/(12/(-16)). Let q(r) = -r**3 - 4*r**2 - r. Let f be q(m). Solve u**4 - 2*u**2 - 4*u**3 + 4*u**3 + u**f = 0 for u.
-1, 0, 1
Factor 29/4*v + 15/2*v**2 + 1/4*v**3 + 0.
v*(v + 1)*(v + 29)/4
Let d(t) be the first derivative of -3*t**3 - 3*t**2 + 63*t - 101. Factor d(n).
-3*(n + 3)*(3*n - 7)
Let r(l) be the first derivative of 14/3*l**3 - 3*l**2 + 0*l - 5/2*l**4 + 18 + 2/5*l**5. Factor r(j).
2*j*(j - 3)*(j - 1)**2
Suppose x + 5*z - 4 = 0, -4*z + 11 = 4*x - 5. Let f(c) be the first derivative of -1/3*c - 5/9*c**3 - 7 + 3/4*c**2 + 1/8*c**x. What is u in f(u) = 0?
1/3, 1, 2
Let y(p) be the first derivative of p**4/4 - 3*p**3 + 10*p**2 - 12*p + 209. Let y(k) = 0. What is k?
1, 2, 6
Let l(t) be the second derivative of t**7/6720 + t**6/5760 + t**4/6 - 4*t. Let u(x) be the third derivative of l(x). Solve u(v) = 0.
-1/3, 0
Let c(l) = 129*l**3 + 768*l**2 - 168*l - 27. Let v(o) = -10*o**3 - 59*o**2 + 13*o + 2. Let n(q) = 2*c(q) + 27*v(q). Factor n(w).
-3*w*(w + 5)*(4*w - 1)
Let s(n) be the second derivative of n**7/336 + 7*n**6/80 - 49*n**5/160 - 23*n**4/32 - n + 98. Find q such that s(q) = 0.
-23, -1, 0, 3
Suppose 7*z - 3*z = 24. Factor 3*p**2 - 3*p**3 + p**3 + 2*p + z*p - 16 + p**2.
-2*(p - 2)**2*(p + 2)
Let l(k) be the first derivative of 0*k - 2/5*k**5 - 2/3*k**3 - k**4 - 35 + 0*k**2. Solve l(f) = 0.
-1, 0
Let r(j) = -6*j - 8. Let h be r(12). Let m = 80 + h. Factor 6/7*d**3 - 10/7*d**2 + m + 4/7*d + 2/7*d**4 - 2/7*d**5.
-2*d*(d - 1)**3*(d + 2)/7
Let p(q) be the first derivative of q**5/15 + 7*q**4/12 + 13*q**3/9 - q**2/2 - 6*q - 368. Find o, given that p(o) = 0.
-3, -2, 1
Let j = -118296/13 + 9100. Factor j*o - 4/13*o**3 + 0 + 2/13*o**4 - 2/13*o**2.
2*o*(o - 2)*(o - 1)*(o + 1)/13
Let v(u) = 33*u**2 + 141*u - 22. Let k(m) = -m**2 + 3*m - 1. Let t(l) = 2*k(l) - v(l). Let t(w) = 0. Calculate w.
-4, 1/7
What is f in 2/23*f**5 + 2/23*f**4 + 4/23*f - 2/23*f**2 + 0 - 6/23*f**3 = 0?
-2, -1, 0, 1
Let u = 11378 - 147808/13. Let t = -690/91 + u. Determine z, given that 4/7*z**3 - 2/7*z**5 - 2/7*z**4 + t*z**2 - 2/7 - 2/7*z = 0.
-1, 1
Let q be 1/(19/3 + (6 - 7 - 5)). Factor 0*g**q + 0 - 1/7*g + 2/7*g**4 + 1/7*g**5 - 2/7*g**2.
g*(g - 1)*(g + 1)**3/7
Factor -251 + 711 - 105*q - 309 + 5*q**2 - 261.
5*(q - 22)*(q + 1)
Let z = 72 + -65. Let y be ((-6)/(-15))/((7/5)/z). Determine x, given that 3/7 + 6/7*x - 3*x**y + 12/7*x**3 = 0.
-1/4, 1
Let s(g) be the first derivative of g**5/480 - g**3/48 + 4*g**2 - 14. Let p(x) be the second derivative of s(x). What is q in p(q) = 0?
-1, 1
Let h(s) be the second derivative of s**5/5 + 11*s**4/12 + 5*s**3/6 - s**2 - 103*s. Let h(d) = 0. Calculate d.
-2, -1, 1/4
Let s(b) = 9*b**2 - 64*b - 10. Let r(i) = -44*i**2 + 320*i + 49. Let a(z) = -6*r(z) - 33*s(z). Factor a(c).
-3*(c - 6)*(11*c + 2)
Let l(d) be the second derivative of -d**5/240 + d**4/24 + 4*d**2 - 10*d. Let u(r) be the first derivative of l(r). Suppose u(j) = 0. What is j?
0, 4
Let c(h) be the third derivative of h**5/135 + 7*h**4/54 - 4*h**3/3 + 36*h**2. Suppose c(w) = 0. Calculate w.
-9, 2
Let p(f) = 9*f**2 + 16*f + 17. Let n(j) = -4*j**2 - 8*j - 8. Let v(i) = -2*i - 2. Let q be v(-2). Let z(b) = q*p(b) + 5*n(b). Suppose z(a) = 0. Calculate a.
-3, -1
Suppose -4/17*t**4 + 8/17*t - 2/17*t**5 + 6/17*t**3 + 16/17*t**2 + 0 = 0. What is t?
-2, -1, 0, 2
Let b(t) = t**3 - 20*t**2 + 21*t - 36. Let h be b(19). Determine r, given that 14*r - 8*r - 12*r - r**h - 9 = 0.
-3
Let z(p) be the third derivative of -p**5/45 + 7*p**4/18 + 16*p**3/9 + 28*p**2 - 2. Solve z(g) = 0 for g.
-1, 8
Let g be (48/(-56))/(16/(-14)). Factor -3/2*r**3 - 9/4*r**2 + 0*r + g*r**4 + 0.
3*r**2*(r - 3)*(r + 1)/4
Suppose -11*n = -17*n - 12. Let c be 24/(-9) - (-2 + n). Suppose 4/3*h**3 - c*h**2 + 4/3 - 4/3*h = 0. Calculate h.
-1, 1
Let t = 0 - 22. Let b be (-48)/t - 4/22. Factor -6*x**3 + 3*x + 4*x + 2*x**b - 3*x + 0*x.
-2*x*(x - 1)*(3*x + 2)
Let i(b) be the first derivative of 1/40*b**5 + 0*b**4 - 9*b + 1/120*b**6 - 2 - 1/8*b**2 - 1/12*b**3. Let f(c) be the first derivative of i(c). Factor f(o).
(o - 1)*(o + 1)**3/4
Solve 160 + 28/5*j**4 + 2088/5*j**2 + 688*j - 524/5*j**3 = 0.
-1, -2/7, 10
Suppose -2*b + 777*o - 780*o = 6, -5*o = 20. Factor 9/2*j + 8*j**2 + 1 + 7*j**b + 3*j**4 + 1/2*j**5.
(j + 1)**4*(j + 2)/2
Let a be 6/4*8/16*12. Let t(j) be the first derivative of 0*j + a + 1/18*j**3 + 0*j**2. Factor t(p).
p**2/6
Let a(s) be the second derivative of 5*s**4/12 + 35*s**3/6 - 152*s. Factor a(n).
5*n*(n + 7)
Let j be -3 + (-2)/4*-2. Let t(a) = -7*a**3 + 10*a**2 + 16*a - 1. Let u(s) = s**3 + 1. Let w(c) = j*t(c) - 18*u(c). Factor w(d).
-4*(d + 1)*(d + 2)**2
Let r(d) = -6*d**2 + 9*d + 6. Let i(k) = k**2 - 2*k. Let h(m) = -18*i(m) - r(m). Let h(j) = 0. Calculate j.
1/4, 2
Let d(p) be the second derivative of p**5/18 + 11*p**4/18 - 164*p**3/27 + 20*p**2/3 - 6*p - 19. Factor d(a).
2*(a - 3)*(a + 10)*(5*a - 2)/9
Determine d, given that -2 - 178*d + 176*d - 5 + 2*d**2 + 3 = 0.
-1, 2
Let v be 2 - 15 - 2479/(-185). Find f such that 4*f + 0 + v*f**2 = 0.
-10, 0
Let j(p) be the third derivative of -p**5/180 - 35*p**4/36 - 1225*p**3/18 - 36*p**2 + 3*p. Suppose j(a) = 0. Calculate a.
-35
Let z(n) be the third derivative of -7*n**6/220 - 23*n**5/330 - n**4/66 + 53*n**2 - n. Factor z(f).
-2*f*(f + 1)*(21*f + 2)/11
Let y(r) = 9*r + 47. Let h be y(-5). Let o be (28/(-5))/(-4) + (h - 3). Factor 0*t**2 + 1/5*t**5 - o*t**4 + 0*t + 0 + 0*t**3.
t**4*(t - 2)/5
Let x(k) be the second derivative of 0 - 18*k + 0*k**2 + 0*k**3 + 5/12*k**4 - 1/4*k**5. Solve x(w) = 0.
0, 1
Suppose -68 = 3091*q - 3125*q. Factor 3*y**2 + 2*y**3 + 1/2*y**4 + 1/2 + q*y.
(y + 1)**4/2
Suppose 4*v - 6 = 150*j - 153*j, -5*v = -2*j - 19. Determine w, given that 3/2*w**4 + 0 + 0*w + v*w**3 + 0*w**2 = 0.
-2, 0
Suppose -6*c + 0 = -24. Suppose 0 = f + 2*f - 15, -c*f = -5*i - 5. Determine x so that -38*x + 17 + 8*x - 92 - i*x**2 = 0.
-5
Suppose 34*k**3 - 4*k**4 - 4 - 321/4*k**2 + 34*k = 0. Calculate k.
1/4, 4
Let h be 6/20*(3 + 16/(-6)). Factor -h*x**2 - 1/10*x + 1/5.
-(x - 1)*(x + 2)/10
Let m(r) = r**2 - 32*r + 34. Let c be m(31). Let l(n) be the first derivative of 0*n - 9 + 1/4*n**c + 3/2*n**2. Factor l(f).
3*f*(f + 4)/4
Factor -9*u**2 - u**2 + 8*u**2 - u + 35*u.
-2*u*(u - 17)
Let g(v) be the second derivative of -v**8/7840 - v**7/1764 - v**6/1260 - 2*v**4/3 + 5*v. Let w(s) be the third derivative of g(s). Factor w(y).
-2*y*(y + 1)*(3*y + 2)/7
Let w = 56 - 278/5. Let h be (2/6)/(0 - 25/(-10)). Determine c so that -2/15*c**4 + 4/15 - 2/3*c + w*c**2 + h*c**3 = 0.
-2, 1
Let m be 11 + 0 + 378/(-54). Let k(i) be the second derivative of -2/3*i**3 - 1/3*i**m + 0 + 2*i + 4*i**2. Factor k(z).
-4*(z - 1)*(z + 2)
Let l = -744 - -746. Let p(i) be the first derivative of -4/15*i**3 + 6 + 1/10*i**4 - 1/5*i**l + 4/5*i. Solve p(u) = 0 for u.
-1, 1, 2
Suppose -5 = -o - 3*v, o - 38*v = -34*v + 5. Factor 0 + 2/11*m**2 + 6/11*m**3 + 2/11*m**o + 6/11*m**4 + 0*m.
2*m**2*(m + 1)**3/11
Let b(v) be the second derivative of -v**6/200 + v**5/50 + 3*v**4/40 + 7*v**2 - 18*v. Let w(h) be the first derivative of b(h). Factor w(f).
-3*f*(f - 3)*(f + 1)/5
Let u(a) = a**3 - 3*a**2 + 2. Let o be u(3). Suppose 3*p + 2*p - p + 0*p**o - 4*p**2 = 0. What is p?
0, 1
Let d(c) be the first derivative of 2*c**3/3 + 29*c**2 + 108*c - 30. Factor d(k).
2*(k + 2)*(