r. Factor -4*b**r + 2*b**4 - 6*b**3 - 5*b**4 + b**2.
-3*b**2*(b + 1)**2
Suppose -97*r + 100*r = 6, 5*r = 2*h + 2. Solve h*w - 3/5 - 6/5*w**5 - 1/5*w**4 + 34/5*w**3 - 44/5*w**2 = 0 for w.
-3, 1/3, 1/2, 1
Let d be (-1)/(-2)*18 - (-9328)/(-1060). Factor -d*f + 0 - 1/5*f**2.
-f*(f + 1)/5
Suppose 28 = 3*p - 5*w, 28 = 4*p - 2*w - 0*w. Let t be 10/p + (-3)/(-9). Determine y so that 0 - t*y - 9 + 9 + 2*y**3 = 0.
-1, 0, 1
Let s(h) be the second derivative of 0*h**3 + 0*h**4 - 1/21*h**7 - 1/15*h**6 + 1/5*h**5 + 0 + 0*h**2 - 9*h. Factor s(i).
-2*i**3*(i - 1)*(i + 2)
Suppose z + 17 = 4*w, -2*w + w + 3 = z. Let q(s) = -s**3 - s**2 + s. Let y(i) = 12*i**2 + 12*i - 32. Let n(u) = w*q(u) + y(u). What is d in n(d) = 0?
-2, 2
Let u(d) be the third derivative of 1 - 5/8*d**4 - 1/16*d**6 + 0*d + 0*d**3 - 27/40*d**5 - d**2. Factor u(n).
-3*n*(n + 5)*(5*n + 2)/2
Let o(j) = -24*j**3 - 4*j**2 + 113*j. Let y(m) = 13*m**3 + 3*m**2 - 56*m. Let u(f) = -4*o(f) - 7*y(f). Solve u(q) = 0 for q.
-3, 0, 4
Factor 233077*f + 18385461 + 3*f**3 + 399*f**2 - 148*f**2 + 1396*f**2 + 41890*f + 26434*f.
3*(f + 183)**3
Let i(p) be the second derivative of -p**4/28 - 11*p**3/7 - 9*p**2/2 - 186*p. Suppose i(k) = 0. Calculate k.
-21, -1
Suppose -p + 5 + 0 = 0, -p + 8 = h. Factor 1213 - h*s**3 - 1213.
-3*s**3
What is a in -5/9*a - 2/9 + 4/9*a**4 + 1/9*a**5 - 2/9*a**2 + 4/9*a**3 = 0?
-2, -1, 1
Let z(n) = -5 - n**2 + 2*n**2 + 4 + n + 3. Let p be z(0). Suppose -3*l - 9*l + 3 + 3*l**4 - 10*l**2 + 6*l**3 + 9 + l**p = 0. Calculate l.
-2, 1
Let s(y) be the second derivative of -4/11*y**2 + 4/33*y**3 - 1/165*y**6 + 0 - 1/55*y**5 + 12*y + 1/22*y**4. Find z, given that s(z) = 0.
-2, 1
Suppose -18 = -25*n + 57. Let a(d) be the third derivative of 1/150*d**6 + 2/15*d**n + 0*d + 0 + 7*d**2 - 1/75*d**5 - 1/30*d**4. Factor a(u).
4*(u - 1)**2*(u + 1)/5
Let q(p) be the first derivative of 0*p + 2/3*p**3 + 0*p**2 + 1/9*p**6 + 2/15*p**5 + 17 - 5/6*p**4. Factor q(a).
2*a**2*(a - 1)**2*(a + 3)/3
Let y(a) = a**2 + 2*a - 12. Let s be y(-5). Let w = 1673/2 + -836. Factor 0 + 0*u - 1/4*u**2 + w*u**s.
u**2*(2*u - 1)/4
Let q(s) be the first derivative of s**5/80 + s**4/16 + s**3/8 - s**2 + 4. Let l(j) be the second derivative of q(j). Factor l(t).
3*(t + 1)**2/4
Let v(r) be the second derivative of r**6/10 + 6*r**5/5 + 4*r**4 + 71*r. Factor v(d).
3*d**2*(d + 4)**2
Let s = 689 + -41339/60. Let d(n) be the second derivative of -1/72*n**4 + 0*n**3 + 4*n + 0 - s*n**5 + 0*n**2 - 1/180*n**6. Let d(q) = 0. Calculate q.
-1, 0
Let t(l) = -l**2 + 9*l. Let k be t(8). Let u**2 - 3*u**2 + k*u**4 - 5*u**4 - 7*u**2 - 6*u**3 = 0. What is u?
-1, 0, 3
Suppose 3*h - 123 = -117. Determine p so that -6 + 4*p**4 - 34*p**h + 22*p**2 - 72*p + 16*p**3 + 6 = 0.
-3, 0, 2
Factor 12/7*t**2 + 3/7*t**3 - 9/7*t - 54/7.
3*(t - 2)*(t + 3)**2/7
Suppose i + 18*i**3 + 36 + 11*i - 14*i**3 + 0*i**2 - 20*i**2 = 0. What is i?
-1, 3
Let m be ((-20)/(-8))/((-3)/(-12)). Let t = m + -5. Factor 4*l + 2*l**2 + t*l**2 + 16*l**4 + l**2 - 28*l**3.
4*l*(l - 1)**2*(4*l + 1)
Let a(x) = 17*x**3 - 2*x**2 + 3*x - 2. Let v be a(1). Let t be ((-3)/v*6 - -1)*-4. Solve 0*i + 0 + 3/2*i**3 - 3/2*i**4 + t*i**5 - 1/2*i**2 = 0.
0, 1
Let a(q) = -7*q**2 + 42*q - 43. Let g(k) = 8*k**2 - 42*k + 44. Let s(l) = -5*a(l) - 4*g(l). Factor s(p).
3*(p - 13)*(p - 1)
Let y(t) be the third derivative of -8*t**2 - 13/12*t**5 + 0*t + 0 - 5*t**4 - 15/2*t**3 - 1/12*t**6. Find n, given that y(n) = 0.
-3, -1/2
Let a(k) = 1. Let z(u) = 2*u**2 - 84*u + 879. Let o(d) = 3*a(d) + z(d). Factor o(m).
2*(m - 21)**2
Let k(l) be the first derivative of l**5/140 - l**4/56 - l**3/7 + 5*l**2/2 - 6. Let m(t) be the second derivative of k(t). Factor m(w).
3*(w - 2)*(w + 1)/7
Let t(p) be the first derivative of -3*p**5/35 - 39*p**4/28 - 22*p**3/7 - 582. Solve t(y) = 0 for y.
-11, -2, 0
Factor -45/4*r**2 + 5/4*r**3 - 15 + 25*r.
5*(r - 6)*(r - 2)*(r - 1)/4
Let h(v) be the second derivative of 0 - 16/3*v**2 - 21*v - 2/3*v**4 - 1/15*v**5 - 8/3*v**3. Determine f so that h(f) = 0.
-2
Let n(x) be the third derivative of x**5/20 - 7*x**4/8 - 44*x**2. Find u, given that n(u) = 0.
0, 7
Let i(s) be the first derivative of -5*s**3/3 + 85*s**2 - 1445*s - 139. Factor i(o).
-5*(o - 17)**2
Let f be (-5)/15 + (-7)/(-3). Solve 2*s - s**f + 8 - 2*s - 4 = 0.
-2, 2
Let j(x) be the first derivative of -x**6/24 - x**5/2 - 5*x**4/2 - 20*x**3/3 - 13*x**2 - 32. Let g(b) be the second derivative of j(b). Solve g(u) = 0 for u.
-2
Let c(k) be the second derivative of -k**6/210 + k**5/7 - 17*k**4/21 + 32*k**3/21 - 54*k + 4. Find f, given that c(f) = 0.
0, 2, 16
Let h(d) be the first derivative of -4/5*d + 7/10*d**4 - 20 - 32/15*d**3 + 11/5*d**2. Factor h(p).
2*(p - 1)**2*(7*p - 2)/5
Suppose 2*b - 3*s + 58 = 38, 26 = -3*b + 4*s. Factor 14/3*l**3 - 4/3*l + 0 - 10/3*l**b.
2*l*(l - 1)*(7*l + 2)/3
Let q(m) be the second derivative of m**4/132 + 4*m**3/33 + 7*m**2/22 - 71*m. Let q(h) = 0. Calculate h.
-7, -1
Let t(u) be the second derivative of 5*u**7/42 - u**6/6 - 3*u**5/2 + 35*u**4/6 - 55*u**3/6 + 15*u**2/2 - 2*u - 35. Determine j, given that t(j) = 0.
-3, 1
Let b = 1006 - 982. Let x(s) be the first derivative of -6*s**3 - b*s - 3/4*s**4 - 18*s**2 - 4. What is u in x(u) = 0?
-2
Let m(s) be the third derivative of s**6/300 + s**5/50 - s**4/60 - s**3/5 - 83*s**2. Factor m(o).
2*(o - 1)*(o + 1)*(o + 3)/5
Let x(q) be the first derivative of -q**4/4 + 4*q**3/3 + 19*q**2/2 + 14*q - 278. Factor x(h).
-(h - 7)*(h + 1)*(h + 2)
Let v be 100/(-450)*(-3)/20. Let q(x) be the third derivative of 1/300*x**5 + 4*x**2 + 0 + v*x**3 + 0*x + 1/60*x**4. Find g, given that q(g) = 0.
-1
Factor -9/5*r + 0 - 1/5*r**2.
-r*(r + 9)/5
Let f = -2911/4 + 728. Let y(w) be the first derivative of 0*w**2 - f*w + 1/12*w**3 + 9. What is b in y(b) = 0?
-1, 1
Let u(y) be the first derivative of -y**3/3 + 60*y**2 - 3600*y + 120. Determine v so that u(v) = 0.
60
Suppose -109*h = -107*h + 58. Let b be (-37 + 41)*2/(-1 - h). Suppose -2/7*s - 12/7*s**3 - 8/7*s**2 - b*s**5 + 0 - 8/7*s**4 = 0. What is s?
-1, 0
Suppose -1/5*q**2 + 1/5*q + 1/5 - 1/5*q**3 = 0. What is q?
-1, 1
Suppose -2875*n = -3003*n + 384. Factor 0 + 0*r - 2/17*r**5 + 14/17*r**n + 12/17*r**4 + 0*r**2.
-2*r**3*(r - 7)*(r + 1)/17
Let h(z) be the second derivative of -z**5/100 - z**4/10 - 11*z**3/30 - 3*z**2/5 - 23*z - 4. Suppose h(g) = 0. Calculate g.
-3, -2, -1
Suppose -25*b = -14*b - 33. Solve 5*z**3 + 3*z**b + 94*z**4 + 4*z**2 - 90*z**4 = 0.
-1, 0
Let g(n) be the third derivative of n**7/504 + n**6/36 + n**5/6 - 3*n**4/8 - 20*n**2. Let v(p) be the second derivative of g(p). Find y such that v(y) = 0.
-2
Suppose -4*a = j - 20 - 3, a - 11 = 5*j. Factor -14*u - 2 + 4*u**2 + a*u + 2.
4*u*(u - 2)
Suppose -116 = -51*u + 190. Let l(c) be the first derivative of -3/4*c**4 - u*c + 0*c**3 - 7 + 9/2*c**2. Factor l(r).
-3*(r - 1)**2*(r + 2)
Let p be (-5)/(-1) + 1/1. Suppose -j - p = j, j + 9 = 3*r. Factor -n**2 + 3*n**2 - 5*n + r + n.
2*(n - 1)**2
Let x be (-1 - -3) + (-4 - (-36)/(-15)). Let j = -19/5 - x. Suppose -3/5*c**2 + j*c**3 + 0 + 0*c = 0. What is c?
0, 1
Let d = -1325/44 + 127/4. Solve 16/11*x - d*x**3 - 8/11 + 6/11*x**2 = 0 for x.
-1, 2/3
Let r(k) be the third derivative of 0*k**4 + 23*k**2 + 9/2*k**3 - 1/20*k**5 + 0 + 0*k. Factor r(z).
-3*(z - 3)*(z + 3)
Find a, given that -96/19*a**4 + 30/19*a + 4/19 + 42/19*a**2 - 80/19*a**3 = 0.
-1, -1/4, 2/3
Factor -6*s + 2/17*s**3 - 180/17 - 8/17*s**2.
2*(s - 10)*(s + 3)**2/17
Let a(f) be the second derivative of f**5/15 - 7*f**4/9 + 28*f**3/9 - 16*f**2/3 + 5*f + 7. Factor a(t).
4*(t - 4)*(t - 2)*(t - 1)/3
Let z be 53*((-10)/2 - 4/(-1)). Let k = z + 55. Let -2/9 + 8/3*b - 8*b**k = 0. What is b?
1/6
Let m = 10 + 20. Let l = -29 + m. Let p(u) = u**2 + u. Let x(i) = -25*i**2 - 15. Let b(r) = l*x(r) + 20*p(r). Factor b(z).
-5*(z - 3)*(z - 1)
Suppose -8*l = -132 - 36. Factor 6*d - 2*d**2 + 2*d + 3*d - l*d.
-2*d*(d + 5)
Let k = 24 + -21. Let s = -15 + 17. Determine r, given that r**3 - 2*r + 6*r - r**3 + 6*r**2 + s*r**k = 0.
-2, -1, 0
Let v be (-5600)/(-952) - (-2)/17. Let d(a) be the third derivative of 0*a + 0*a**3 + 0 - 1/6*a**4 + 1/30*a**6 - 1/15*a**5 + 2/105*a**7 + v*a**2. Factor d(x).
4*x*(x - 1)*(x + 1)**2
Suppose 2*i + 0 = 4. Factor -83*u**i + u + 2*u + 82*u**2.
-u*(u - 3)
Let d(i)