5 - u**4 - 4*u**3 + 2*u**2 + 8*u + 80. Suppose l(w) = 0. Calculate w.
-1, 1, 2
Let q(p) be the second derivative of -p**5/130 + 7*p**3/39 - 6*p**2/13 - 13*p - 4. Determine u so that q(u) = 0.
-3, 1, 2
Let w(i) be the second derivative of 1/36*i**4 + 1/9*i**3 - 6*i - 1/20*i**5 - 1/90*i**6 + 1/126*i**7 + 0*i**2 + 0. Factor w(s).
s*(s - 2)*(s - 1)*(s + 1)**2/3
Let n(x) be the third derivative of -x**5/300 + 4*x**4/15 - 301*x**2. Factor n(w).
-w*(w - 32)/5
Let s(l) be the second derivative of 0 + 4/15*l**3 + 0*l**2 - 1/15*l**4 + 8*l. Solve s(n) = 0.
0, 2
Let g(k) be the second derivative of -16/3*k**3 - 1/3*k**4 + k**5 + 2/15*k**6 + 0 - 23*k - 2/21*k**7 - 8*k**2. Factor g(x).
-4*(x - 2)**2*(x + 1)**3
Let z(i) = -i**2 - i + 2. Let c(b) = 2*b**2 - 4*b + 1. Let k(t) = 3*t**2 - 5*t + 1. Let q(n) = -4*c(n) + 3*k(n). Let v(p) = 6*q(p) + 3*z(p). Factor v(x).
3*x*(x + 1)
Let h(a) = -5*a**2 - 4*a. Let m(x) = -14*x**2 - 11*x. Let k(b) = -11*h(b) + 4*m(b). Let n(v) = 2*v**2 - 4*v. Let l(r) = -6*k(r) - n(r). Factor l(t).
4*t*(t + 1)
Suppose -2*w = -4*u + 10, 5*u = -28*w + 27*w + 9. Find k such that 4*k + 16/11 + 10/11*k**u = 0.
-4, -2/5
Let b = 21 - 19. Suppose w + l - b = 0, -4 = -5*w - 0*w - 2*l. Factor w*a**2 + 0 - 40/7*a**4 + 6*a**5 + 8/7*a**3 + 0*a.
2*a**3*(3*a - 2)*(7*a - 2)/7
Let i be (-4 - -20)/((-136)/(-8) - 14). Find a, given that -14/3*a - i + 2/3*a**2 = 0.
-1, 8
Let n = -6 + 75. Factor -32*j + 13*j**2 - n + 5 - 17*j**2 + 0*j.
-4*(j + 4)**2
Let i = 4 - 4. Let g be i*(-1)/3 + 6. Determine d so that -3*d**3 - g*d**3 + 8*d**5 + 0*d**4 - 6*d**4 + 7*d**3 = 0.
-1/4, 0, 1
Let -721*y**3 - 714*y**4 + 296 - 355*y**3 - 1334*y**2 - 829*y**3 + 10*y**5 + 144*y - y**3 = 0. What is y?
-1, 2/5, 74
Let r(a) be the second derivative of 1/6*a**4 + 0*a**2 - 2*a + 2/3*a**3 + 0. Factor r(h).
2*h*(h + 2)
Let j be ((-1)/(50/(-36)))/((-246)/(-615)). Factor 0 + 0*x - 3/5*x**3 - 1/5*x**5 + x**4 - j*x**2.
-x**2*(x - 3)**2*(x + 1)/5
Let a(k) = k**2 + 15*k - 10. Let m(x) = 5*x**2 + 90*x - 60. Let r = -47 + 41. Let h(i) = r*m(i) + 35*a(i). Suppose h(p) = 0. What is p?
1, 2
Let u = -265 + 170. Let a be (2 + u/50)/(10/25). Factor 0*h + 1/4*h**3 - 1/4*h**4 - a*h**5 + 1/4*h**2 + 0.
-h**2*(h - 1)*(h + 1)**2/4
Let g(s) = 57*s**2 - 54*s + 2. Let q(v) = v**3 + v**2 + v + 2. Let j(p) = 2*g(p) - 2*q(p). Factor j(d).
-2*d*(d - 55)*(d - 1)
Let g(m) be the third derivative of -m**8/224 - m**7/168 + 23*m**6/480 + m**5/12 + m**4/24 + 22*m**2. Let g(c) = 0. What is c?
-2, -1/2, -1/3, 0, 2
Let w(h) be the second derivative of h**5/10 - 4*h**3 + 16*h**2 + 189*h. Determine z, given that w(z) = 0.
-4, 2
Let j = -576 + 379. Let i = j - -197. Factor 0*w + i + 2/3*w**2.
2*w**2/3
Let h(t) = t - 8. Let w be h(10). Let l = w - -1. Suppose l*f - f**2 - 2 + 3*f + 3*f - 6*f = 0. Calculate f.
1, 2
Let y(h) = -h**2 + 5*h - 3. Let t be y(4). Let x be (t/4)/(4/48). Factor -2*u - u**x - 4*u**2 - u**3 + 4*u**3 + 4.
2*(u - 2)*(u - 1)*(u + 1)
Let w(h) be the first derivative of h**3 + 2*h - 8 + 7/2*h**2 - h**5 - 7/4*h**4. Factor w(v).
-(v - 1)*(v + 1)**2*(5*v + 2)
Let b(m) be the second derivative of m**7/14 - m**6/2 + 103*m. Find g, given that b(g) = 0.
0, 5
Let c(a) be the third derivative of a**5/15 + 8*a**4/3 + 128*a**3/3 - 29*a**2 - 2. Determine g so that c(g) = 0.
-8
Solve 21/2*c**4 - 90 - 444*c - 975/2*c**2 - 123*c**3 = 0 for c.
-2, -1, -2/7, 15
Let s be (-3248)/261*(-108)/63. Let p = 28/3 + 4/3. Determine y, given that -4/3 - s*y**2 + p*y = 0.
1/4
Let d(p) = -p**3 - p**2 - 8*p - 8. Let k(g) = -g - 1. Let s(v) = -5*d(v) + 40*k(v). Let s(q) = 0. Calculate q.
-1, 0
Let t(g) = 3927*g**3 + 3147*g**2 - 768*g + 66. Let o(h) = 54*h**2 + 96*h**2 + 302*h**3 - 59*h - 27 + 92*h**2 + 32. Let f(v) = 27*o(v) - 2*t(v). Factor f(u).
3*(u + 1)*(10*u - 1)**2
Let m = 485636/208131 - -1/69377. Suppose -4/9 - m*o**2 + 25/9*o**4 - 20/9*o**3 + 20/9*o = 0. What is o?
-1, 2/5, 1
Let s = 52437 - 471925/9. Factor 4/3*p**3 + 0*p + 0 + s*p**2.
4*p**2*(3*p + 2)/9
Let y(u) = -2*u - 20. Suppose 0 = v + 5, -4*q - q - v - 60 = 0. Let m be y(q). Factor -5/2*a**3 - m*a + 2 - 13/2*a**2.
-(a + 1)*(a + 2)*(5*a - 2)/2
Let p(g) be the second derivative of -g**4/9 + 82*g**3/9 + 28*g**2 - g - 63. What is i in p(i) = 0?
-1, 42
Let n(p) be the second derivative of p**4/16 - 3*p**3/4 - 6*p**2 - 188*p. Factor n(q).
3*(q - 8)*(q + 2)/4
Suppose 38*j = 36*j + 6. Factor 2*r + 5 + 4*r**j + 2*r + 0*r - r**4 - 6 - 6*r**2.
-(r - 1)**4
Let p be 5/2*((-16)/(-10))/2. Factor 1802*r**3 + 5*r**4 + 1280 + 570*r**p + 1280*r - 90*r**2 - 1722*r**3.
5*(r + 4)**4
Let b(q) = -25*q - 1872. Let n be b(-75). Suppose -50/7*z**5 + 40/7*z**4 - 16/7 + 104/7*z - 220/7*z**2 + 142/7*z**n = 0. Calculate z.
-2, 2/5, 1
Let k = -16 - -109. Suppose -n = -j + 21, -4*j + 5*n = 4 - k. Determine y, given that 4*y**2 - 4*y + 16 - j = 0.
0, 1
Let g be 8/(-30)*((-81)/(-36) + -3). Find c, given that g*c**3 - 4/5 - c**2 + 8/5*c = 0.
1, 2
Let d be 3/(8 + (-4 - 3)). Let a(z) be the first derivative of -1 + 1/8*z**4 - 1/6*z**d - 1/4*z**2 + 1/2*z. Factor a(h).
(h - 1)**2*(h + 1)/2
Let p(i) = 3*i**3 + 2*i**2 - 18*i + 29. Let a be p(-7). Let g = -2308/3 - a. Factor -g*r**3 - 4*r - 2*r**4 - 8*r**2 - 2/3.
-2*(r + 1)**3*(3*r + 1)/3
Suppose -4*f - 2*f = -30. Let r(o) = 13*o + 6*o**2 - 8 + 17 - f. Let z(u) = -30*u**2 - 64*u - 20. Let v(w) = 14*r(w) + 3*z(w). Determine n so that v(n) = 0.
-1, -2/3
Let h(p) be the third derivative of 37*p**2 + 0*p + 3/70*p**5 + 0 + 3/14*p**4 + 1/280*p**6 + 4/7*p**3. Factor h(u).
3*(u + 2)**3/7
Let k(v) be the third derivative of -3*v**2 + 0*v + 125/6*v**3 - 25/12*v**4 + 1/12*v**5 + 0. Factor k(t).
5*(t - 5)**2
Let l(n) = -3*n**3 + n**3 - 14*n + n**2 + 15*n + n**4 + 1 + n**3. Let a(i) = 2*i**4 - i**2 + i + 1. Let d(g) = 5*a(g) - 5*l(g). Factor d(x).
5*x**2*(x - 1)*(x + 2)
Suppose 2*v - 3 = z - 2, 3*v - 2*z - 2 = 0. Let d(a) be the second derivative of -1/16*a**4 + v*a**2 - 1/12*a**3 + a + 0. Factor d(w).
-w*(3*w + 2)/4
Let b be 12 + 120/(-10) - (-2)/9. Factor 4/9*u + 2/3 - b*u**2.
-2*(u - 3)*(u + 1)/9
Let i = 39009/5 - 7801. Find r such that -8/5*r**3 + 2/5*r**4 - i*r + 0 + 2*r**2 = 0.
0, 1, 2
Let w = -19/655 - -2003/1310. Factor -w*k**2 - 21*k - 39/2.
-3*(k + 1)*(k + 13)/2
Suppose 3/4*d**2 - 18 - 15/2*d = 0. Calculate d.
-2, 12
Let p(q) be the first derivative of 27*q**5/5 - 303*q**4/4 + 256*q**3 - 294*q**2 + 96*q - 253. Determine m so that p(m) = 0.
2/9, 1, 2, 8
Suppose 5*h = 3*l + 5, -3*l = 4 - 19. Let c be (-6)/(-24) - 1/h. Factor c - 1/2*m**4 - 5/2*m**2 + m + 2*m**3.
-m*(m - 2)*(m - 1)**2/2
Let q(d) be the second derivative of d**6/60 - 7*d**5/10 + 55*d**4/8 + 75*d**3/2 + 2*d. Let q(z) = 0. What is z?
-2, 0, 15
Suppose x + 3*x = 8. Let j be (-1)/(-4) - 15/(-24)*6. Factor -3*z + j + 0 - 3*z + x*z**2.
2*(z - 2)*(z - 1)
Let d(h) = -13*h**4 - 11*h**3 + 5*h**2 - 3*h - 3. Let u(r) = -12*r**4 - 10*r**3 + 4*r**2 - 2*r - 2. Let z = -74 - -76. Let l(k) = z*d(k) - 3*u(k). Factor l(x).
2*x**2*(x + 1)*(5*x - 1)
Let b be (8/12)/((-2)/(-6)). Let i = 217 - 213. Factor 5 - i*f**b + 6*f**2 - 3 - 5*f + f.
2*(f - 1)**2
Let n(d) = -d**2 + 9*d + 12. Let t = 7 + 3. Let m be n(t). Find p such that -10*p + 0*p**3 - 12*p**3 + m*p**3 - 10*p**3 - 2*p**5 - 2 - 10*p**4 - 20*p**2 = 0.
-1
Let k(n) be the second derivative of -n**6/36 + n**5/3 - 35*n**4/24 + 5*n**3/2 - 79*n. Factor k(w).
-5*w*(w - 3)**2*(w - 2)/6
Factor 0 + 24/11*z + 2/11*z**3 - 26/11*z**2.
2*z*(z - 12)*(z - 1)/11
Let w(x) = -x**2 + 12*x - 5. Let r be w(10). Suppose r*p - 2 = 14*p. Factor 3*f**p + f**3 - 6 + 4*f**2 + 2*f**3 + 2.
(f + 1)*(f + 2)*(3*f - 2)
Let n(r) = 2*r**2 + 3*r. Let u be n(0). Let z(g) be the third derivative of 1/2*g**4 + u - 3/20*g**5 + 0*g - 1/2*g**3 - 7*g**2. Factor z(i).
-3*(i - 1)*(3*i - 1)
Let n = 14234 + -42697/3. Factor 2/3*t**3 + 0*t - n*t**4 + 0 + t**5 + 0*t**2.
t**3*(t - 1)*(3*t - 2)/3
Suppose -d = -0*l + 5*l - 429, -4*d + 3*l + 1693 = 0. Solve -12*n - 424 + d - 15*n**2 + 27*n**3 = 0.
-4/9, 0, 1
Let y = -2093 + 4189/2. Find a, given that 0 + 3/2*a**3 - 3/2*a + 3/2*a**4 - y*a**2 = 0.
-1, 0, 1
Let y = 22 + -7. Suppose -3*b - y = -0*b - 5*t, -t = 5*b - 3. Suppose 6/11*o**2 + 2/11*o**4 + 6/11*o**3 + 2/11*o + b = 0. What is o?
-1, 0
Let q(v) be the second derivative of -v**5/150 + v**4/30 - v**3/15 + 21*v**2/2 +