/(w - -1) + 32/10. Find i such that -x - 8/5*i - 2/5*i**2 = 0.
-3, -1
Let a(p) be the third derivative of p**6/96 + 29*p**5/48 - 5*p**4 + 707*p**2. Factor a(r).
5*r*(r - 3)*(r + 32)/4
Let d(x) = 5*x**2 + 17*x + 22. Let p(j) = 10*j**2 + 18*j + 23. Let f(b) = 3*d(b) - 2*p(b). Factor f(m).
-5*(m - 4)*(m + 1)
Factor -125/3 - 5/3*w**2 + 130/3*w.
-5*(w - 25)*(w - 1)/3
Suppose 2*s = -2*k + 4*k + 16, -k - 5 = 0. Let w(f) be the third derivative of -1/36*f**4 + 1/45*f**5 + 1/180*f**6 - 2/9*f**s - f**2 + 0*f + 0. Factor w(r).
2*(r - 1)*(r + 1)*(r + 2)/3
Factor -6*h**2 + 0 + 0*h - 2/5*h**3.
-2*h**2*(h + 15)/5
Let f(w) = w + 2. Let b be f(0). Factor -1/2*i**b + 4*i - 8.
-(i - 4)**2/2
Let t(l) be the second derivative of l**5/5 - 7*l**4/3 - 34*l**3/3 - 18*l**2 + 152*l. Factor t(c).
4*(c - 9)*(c + 1)**2
Let b = 260/399 - -2/133. Let t(r) be the first derivative of r + 1/12*r**6 - b*r**3 - 6 + 1/4*r**2 - 1/4*r**4 + 1/5*r**5. Determine i, given that t(i) = 0.
-2, -1, 1
Let q(r) be the third derivative of 5*r**8/336 - 2*r**7/21 - r**6/12 + r**5 + 15*r**4/8 + 2*r**2 + 2*r. Factor q(t).
5*t*(t - 3)**2*(t + 1)**2
Let d(y) be the first derivative of y**4 + 568*y**3/3 + 10082*y**2 - 366. Factor d(k).
4*k*(k + 71)**2
Let f(x) be the third derivative of 0*x**4 + 0*x + 5/168*x**8 - 25*x**2 + 1/84*x**7 + 0 + 0*x**3 - 1/24*x**5 - 1/12*x**6. Solve f(w) = 0 for w.
-1, -1/4, 0, 1
Let o(u) be the third derivative of u**5/12 - 575*u**4/12 + 66125*u**3/6 - 7*u**2 + 41*u. Determine x so that o(x) = 0.
115
Let a(o) be the third derivative of o**6/360 - 7*o**5/90 + 11*o**4/18 - 20*o**3/9 + 9*o**2 - 1. Factor a(n).
(n - 10)*(n - 2)**2/3
Let c = -49427 - -49429. Suppose 9*f**3 - 9/2 + 3/2*f**c + 3*f**4 - 33/4*f - 3/4*f**5 = 0. What is f?
-1, 1, 6
Suppose -11*q - 1743 = -1765. Let f(s) be the first derivative of 15 - 9/4*s**q - 1/2*s**3 - 3*s. Factor f(o).
-3*(o + 1)*(o + 2)/2
Let f be (-6)/(-30) - (84/(-10))/3. Let x(c) be the second derivative of 0 + 2*c - 1/20*c**5 + 1/12*c**4 - 1/2*c**2 + 1/6*c**f. Factor x(h).
-(h - 1)**2*(h + 1)
Let i(s) = -4*s**3 + 14*s**2 + 26*s - 60. Let y(v) = 4*v**3 - 13*v**2 - 25*v + 62. Let g(o) = 7*i(o) + 6*y(o). Factor g(r).
-4*(r - 6)*(r - 1)*(r + 2)
Let z be (1 + 3)/((-6)/3). Let s(y) = -7*y. Let t be s(z). Suppose 0 + 16*l - t*l + 1 + l**2 = 0. What is l?
-1
Let d(z) = z**2 - 128*z + 3844. Let n be d(48). Factor 1/7*p**n + 0 - 2/7*p**3 + 1/7*p**2 + 0*p.
p**2*(p - 1)**2/7
Determine r so that 1/7*r**2 + 20/7*r + 19/7 = 0.
-19, -1
Solve 5*a**2 - 183 + 9428 + 222*a - 65*a + 273*a = 0.
-43
Let t(h) be the first derivative of 5*h**6/2 - 7*h**5 - 30*h**4 + 20*h**3 + 40*h**2 + 224. Find q, given that t(q) = 0.
-2, -2/3, 0, 1, 4
Let -216/5 - 66/5*u**4 - 62/5*u**3 - 2*u**5 + 306/5*u**2 + 432/5*u = 0. Calculate u.
-3, 2/5, 2
Suppose 2*p + 6 = p + 2*m, -4*p - 5*m = -28. Let c(q) be the second derivative of q + q**p + 0*q**4 + 1/20*q**5 - 1/2*q**3 + 0. Factor c(g).
(g - 1)**2*(g + 2)
Let q(y) be the first derivative of -44*y**3/3 - 70*y**2 - 24*y - 75. Determine o, given that q(o) = 0.
-3, -2/11
Let m be (-13273)/143 - 6/33. Let p = -93 - m. What is z in 0 + 0*z**3 + 0*z - 1/2*z**5 - 1/2*z**4 + p*z**2 = 0?
-1, 0
Let f(m) be the third derivative of m**6/540 - m**5/45 + 11*m**4/108 - 2*m**3/9 + 112*m**2. Factor f(y).
2*(y - 3)*(y - 2)*(y - 1)/9
Let w = -7 + 9. Let u(k) = 2 - 6*k**w - 4 - 5*k - k + 10*k**2. Let v(g) = -16*g**2 + 23*g + 9. Let d(t) = -9*u(t) - 2*v(t). Let d(c) = 0. Calculate c.
0, 2
Let h(m) be the second derivative of 1/12*m**2 - 1/18*m**3 + 0 + 1/72*m**4 - 5*m. Factor h(w).
(w - 1)**2/6
Let a = 389 + -383. Let j(n) be the first derivative of 0*n**3 + 1/2*n**a - 3/5*n**5 + 1 + 0*n**4 + 0*n**2 + 0*n. Solve j(v) = 0.
0, 1
Suppose x - 46 = -19. Let k be x/60 + 5/(-25). Factor k*b**2 + 0 + 0*b.
b**2/4
Let x be (-118)/60 - (-9 + 7). Let l(h) be the second derivative of -2*h**4 + 0 + 2/5*h**5 + 16/3*h**3 - 8*h**2 - h - x*h**6. Find p, given that l(p) = 0.
2
Let o(p) = 5*p**3 - 5*p**2 - 18*p + 20. Let m be 1/(2/(-5) + (-3)/30). Let a(z) = -10*z**3 + 10*z**2 + 35*z - 40. Let u(v) = m*a(v) - 5*o(v). Factor u(q).
-5*(q - 2)*(q - 1)*(q + 2)
Let d(o) = -o**2 - 1. Let g(q) = 14*q**2 + 448*q + 12554. Let i(p) = 10*d(p) + g(p). What is u in i(u) = 0?
-56
Let l(b) be the second derivative of b**6/30 - b**5/15 - b**4/6 + 2*b**3/3 + 7*b**2 - 7*b. Let u(r) be the first derivative of l(r). Factor u(i).
4*(i - 1)**2*(i + 1)
Factor -3*c + 0 + 27/2*c**2 + 15/2*c**4 - 18*c**3.
3*c*(c - 1)**2*(5*c - 2)/2
Let i(s) be the first derivative of s**6/6 + 6*s**5/5 + s**4 - 2*s**3 - 5*s**2/2 - 171. Let i(l) = 0. What is l?
-5, -1, 0, 1
Factor -158*v - 64 - 5*v**2 + 126*v + v**2.
-4*(v + 4)**2
Let y(w) = -11*w + 16. Let r be y(-5). Let q = r - 69. Suppose 0*z**q - 2/17*z + 0 + 2/17*z**3 = 0. Calculate z.
-1, 0, 1
Let a(z) be the second derivative of -4*z**2 + 0 + 1/3*z**4 + 2/15*z**6 + 2*z**3 + 6*z - 3/5*z**5. Determine m, given that a(m) = 0.
-1, 1, 2
Let i be (1 + (-2)/(-4))*150/45. Factor 1 - 5*j - 6 - 8*j**2 + 3*j**2 - i*j.
-5*(j + 1)**2
Let m(f) be the third derivative of -f**6/150 - 2*f**5/15 - 23*f**4/30 - 28*f**3/15 + 241*f**2. Factor m(c).
-4*(c + 1)*(c + 2)*(c + 7)/5
Let g be ((-12)/(-5))/((-16)/40). Let r be 0 - g/(-21) - (-26)/42. Factor -r*m - 1/3*m**2 + 2/3.
-(m - 1)*(m + 2)/3
Factor 0*k + k**2 + 1/4*k**5 + 0 - 1/4*k**3 - k**4.
k**2*(k - 4)*(k - 1)*(k + 1)/4
Factor 133*q - 1 - 2*q**2 - 151*q - 15.
-2*(q + 1)*(q + 8)
Let l be ((-22)/(-55))/(2/20). Let 4*c**4 - 2*c**3 - 48*c**2 - 7*c**4 + 0*c**l - 22*c**3 = 0. Calculate c.
-4, 0
Let m(i) be the third derivative of -i**5/60 + 3*i**4/8 - 4*i**2. Let w be m(9). Factor 2*h**3 - h**4 - h**3 + w*h**3 + h**2 - h**5.
-h**2*(h - 1)*(h + 1)**2
Let o(l) = -4*l + 31. Let u be o(7). Suppose -16*q + 39*q + 40*q**2 + 90 - 9*q + 91*q + 5*q**u = 0. Calculate q.
-3, -2
Let j = -73 + 75. Let o(f) be the third derivative of 1/9*f**4 + 2/15*f**5 + 0 + 0*f + 2*f**j + 0*f**3 - 7/180*f**6. Solve o(n) = 0.
-2/7, 0, 2
Let y(c) be the second derivative of -5*c**4/96 + 253*c**3/48 + 51*c**2/8 + 2*c + 6. Find h, given that y(h) = 0.
-2/5, 51
Let m(k) be the second derivative of k**4/66 + k**3/3 - 12*k**2/11 + 169*k. Factor m(g).
2*(g - 1)*(g + 12)/11
Let g be 7 - 6*22/24. Solve -g*n - 1/2*n**2 - 1 = 0 for n.
-2, -1
Let r(p) = -p**3 + 4*p**2 - 2*p - 2. Let c be r(2). What is s in -2*s**2 - c*s**3 + 7*s**2 + 4 + 3*s**3 + 8*s = 0?
-2, -1
Solve 4/11 + 18/11*y + 12/11*y**4 + 32/11*y**2 + 28/11*y**3 + 2/11*y**5 = 0 for y.
-2, -1
Let d(u) be the first derivative of 4*u**5/25 - u**4/5 - 4*u**3/5 + 2*u**2 - 8*u/5 + 5. Let d(l) = 0. Calculate l.
-2, 1
Let q = 54793 - 54791. Factor -c**q - 1/3*c**3 + 4/3 + 0*c.
-(c - 1)*(c + 2)**2/3
Solve -152 - 4*x**3 - 216 + 3812*x**2 + 352*x - 3888*x**2 = 0 for x.
-23, 2
Determine j so that 0*j - 22/15*j**3 + 2/15*j**5 + 0 - 8/15*j**4 - 4/5*j**2 = 0.
-1, 0, 6
Let z be -3 - (-5)/1 - (-24 + 1628/66). Factor -2*x - 1/6*x**3 + z + x**2.
-(x - 2)**3/6
Let k(y) = -6*y**4 - 19*y**3 + 40*y**2 + 19*y - 45. Let g(a) = a**4 + 4*a**3 - 8*a**2 - 4*a + 9. Let j(c) = -22*g(c) - 4*k(c). Factor j(w).
2*(w - 3)**2*(w - 1)*(w + 1)
Factor -76*x + 36*x**2 + 20*x**2 + 13*x**2 - 51*x**2 + 16.
2*(x - 4)*(9*x - 2)
Let o(a) be the first derivative of 3*a**4/4 - 18*a**2 - 48*a - 81. Suppose o(f) = 0. What is f?
-2, 4
Let j(w) be the first derivative of -w**5/15 - 11*w**4/3 - 242*w**3/3 - 3*w**2 + 11. Let y(r) be the second derivative of j(r). Factor y(i).
-4*(i + 11)**2
Suppose 8 = -4*t + 16. What is n in 39 + 10 + n**t + 77*n - 91*n = 0?
7
Let q(g) be the first derivative of -g**3/4 + 3*g**2 + 79. Factor q(l).
-3*l*(l - 8)/4
Suppose 6*j + 9 = 21. Determine v so that 1/2*v**j + 0 - 1/2*v = 0.
0, 1
Let d = -149997691/9267006 + -6/90853. Let m = 16/51 - d. Factor 0 + m*n**2 - 63/2*n**3 - 15/2*n**5 - 3*n + 51/2*n**4.
-3*n*(n - 1)**3*(5*n - 2)/2
Suppose -3*d - 3 = -179*n + 176*n, -3 = -n + 3*d. Factor 5/2*r**3 + 1/2*r**5 + n + r**2 + 0*r + 2*r**4.
r**2*(r + 1)**2*(r + 2)/2
Let l be 1*((-30)/(-100))/((-3)/(-4)). What is y in -1/5*y**4 - l*y**3 - 1/5*y**2 + 0 + 0*y = 0?
-1, 0
Let u(x) = -37*x**2 - 30*x + 7. Let f(i) be the first derivative of 19*i**3/3 + 15*i**2/2 - 4*i + 9. Let q(c) = -13*f(c) - 6*u(c). Solve q(j) = 0 for j.
-1, 2/5
Suppose -2/15*