*q**2 + 4/5*q - b = 0.
-1, 1/3
Factor 22/9*g + 16/9*g**2 + 2/3 - 8/9*g**3.
-2*(g - 3)*(2*g + 1)**2/9
Suppose 0*a - a = -3, 0 = -x + 3*a - 6. Let j(z) be the first derivative of -32/3*z + 8/3*z**2 - 2/9*z**x - 5. Factor j(q).
-2*(q - 4)**2/3
Let f(c) be the first derivative of c**4/8 + c**3/6 - 17*c**2/4 + 15*c/2 - 159. Factor f(a).
(a - 3)*(a - 1)*(a + 5)/2
Let v be (-52)/(-6)*24/16. Suppose 4*n + 5*g + v = 34, -2*g = -2. Let 43*l**3 - 21*l**4 - 23*l**3 + 26*l - 4 + 38*l**3 + l**n - 60*l**2 = 0. What is l?
2/5, 1/2, 1
Let t(m) = m**2 + 2*m - 1. Let h be t(3). Solve 3*n + 25*n**2 - h*n**2 - 8*n**2 = 0 for n.
-1, 0
Let q(r) be the second derivative of -r**6/10 - 21*r**5/10 - 35*r**4/4 - 11*r**3 + 864*r. Factor q(t).
-3*t*(t + 1)*(t + 2)*(t + 11)
Let g(f) = 10*f**2 + 5*f - 35. Let q(y) = 5*y**2 + 2*y - 18. Suppose 2 = 2*b - 2. Let p(u) = b*g(u) - 5*q(u). Determine r, given that p(r) = 0.
-2, 2
Let n(o) be the second derivative of o**7/1890 - 2*o**6/135 + o**3/3 + 51*o - 1. Let u(d) be the second derivative of n(d). Find b, given that u(b) = 0.
0, 12
Suppose -4*w + 2 = -4*y + 6, -2*y + 17 = -5*w. Let b be 4 + (25/w)/(-5). Find g such that 2 - 3 + 1 - 5*g**2 - 5*g**b - 15*g**4 - 15*g**3 = 0.
-1, 0
Let l(o) be the first derivative of o**5/5 - 3*o**4/2 + 4*o**3 - 5*o**2 + 3*o + 89. Suppose l(m) = 0. What is m?
1, 3
Let l = 757 + -755. Factor 0*h + 0 - 1/3*h**3 - 2/3*h**l.
-h**2*(h + 2)/3
Let j(i) be the first derivative of 2*i**3/39 + 14*i**2/13 + 30. Factor j(z).
2*z*(z + 14)/13
Let f(a) be the first derivative of 0*a**3 + 0*a**2 - 1/6*a**4 + 7*a - 4. Let g(m) be the first derivative of f(m). Let g(i) = 0. Calculate i.
0
Let k(b) be the third derivative of 5/12*b**4 + 1/6*b**6 + 1/168*b**8 + 1/3*b**5 + 0 + 0*b + 1/21*b**7 + 1/3*b**3 + 5*b**2. Factor k(y).
2*(y + 1)**5
Suppose 9 = 2*s + 1. Let d be (-2)/(-1) + (s - 4). Let -4*x**3 + 8*x**2 - 7*x**d + 0 + x**2 + 10*x + 4 = 0. What is x?
-1, -1/2, 2
Let x = -134 + 151. Factor 4*z**3 - 89*z + 44*z**2 + x*z + 24*z.
4*z*(z - 1)*(z + 12)
Let w(k) be the second derivative of 135*k**7/28 - 75*k**6/4 + 109*k**5/8 + 55*k**4/8 + 5*k**3/6 + 2*k - 8. Solve w(u) = 0 for u.
-1/9, 0, 1, 2
Let p = 517099/97 + -5331. Let s = 833/485 - p. Factor -4/5 - 12/5*c + 7/5*c**3 + s*c**2.
(c - 1)*(c + 2)*(7*c + 2)/5
Suppose 131 = -12*r + 155. Factor -1/4*a**r - 1 - 5/4*a.
-(a + 1)*(a + 4)/4
Factor -2*t**2 + 22*t - 30 - 37 - 9 + 16.
-2*(t - 6)*(t - 5)
Let m(q) be the first derivative of -q**4/36 + q**3/9 + 10*q + 13. Let t(x) be the first derivative of m(x). Let t(y) = 0. What is y?
0, 2
Let c = 63/61 + 419/244. Solve -1/4*r**4 + 1/4*r**5 - c*r + 7/2*r**2 + 3/4 - 3/2*r**3 = 0.
-3, 1
Let v be (-32)/(-2) + (-18)/6. Suppose -4*w = 5*d + v, 0 = 4*w + 2*d - 1 - 1. Factor 2*f**2 - w + 3 - 8*f + 6 + 2.
2*(f - 2)**2
Let w(f) be the third derivative of f**8/2016 + f**7/1260 - f**6/720 - f**5/360 + 70*f**2. Let w(c) = 0. What is c?
-1, 0, 1
Let -4*k**2 - 10/11*k**4 + 0 + 48/11*k - 54/11*k**3 = 0. Calculate k.
-4, -2, 0, 3/5
Let t(l) = 8 + 5*l - 10 + 2*l**3 - l**3 - 5*l**2. Let g be t(4). Factor -6*w + w**g - 1 + 6*w.
(w - 1)*(w + 1)
Suppose 3*r - 5*a = -0*a + 22, -5*r = 2*a + 15. Let k be 4*r/(-2) - 60/40. Let -1/4 + k*i**2 - 1/4*i**4 + 0*i + 0*i**3 = 0. Calculate i.
-1, 1
Let a(u) be the first derivative of -u**6/9 + 16*u**5/15 + 35*u**4/6 - 20*u**3/9 - 124*u**2/3 - 176*u/3 + 342. Find v such that a(v) = 0.
-2, -1, 2, 11
Let z(v) be the first derivative of v**6/42 + v**5/5 + 3*v**4/7 - 16*v**3/21 - 32*v**2/7 - 48*v/7 + 102. Factor z(p).
(p - 2)*(p + 2)**3*(p + 3)/7
Let d(b) be the second derivative of -65*b**4/12 + 10*b**3 + 5*b**2/2 - 178*b - 2. What is y in d(y) = 0?
-1/13, 1
Let x(o) = -25*o**3 - 30*o**2 - 5*o + 4. Let j(c) = -2*c**3 + c. Let l(s) = 20*j(s) - 5*x(s). Factor l(t).
5*(t + 1)**2*(17*t - 4)
Let p(h) = h**3 - 11*h**2 + 5*h - 14. Let a be p(11). Suppose 4*w - 45 = -5*x, 4*w + 2*x - x - a = 0. Let 6*v**2 - v**2 + v**4 + 4*v**4 + w*v**3 = 0. What is v?
-1, 0
Let a = 3783 - 11285/3. Determine u so that -32/3*u + a + 1/3*u**4 - 4*u**2 + 4/3*u**3 = 0.
-4, 2
Let s(u) be the third derivative of u**6/1980 + u**5/660 - u**4/22 + 13*u**3/6 + 22*u**2. Let b(m) be the first derivative of s(m). Factor b(l).
2*(l - 2)*(l + 3)/11
Let k(o) = -5*o + 1. Let h be k(29). Let m be (-3*(-8)/(-36))/(28/h). Let 0 - m*b**3 - 22/7*b**4 + 22/7*b**2 + 4*b**5 - 4/7*b = 0. What is b?
-1, 0, 2/7, 1/2, 1
Let f = 276 - 481. Let x = f + 205. Factor 2/17*w**3 + 0 + x*w - 2/17*w**2.
2*w**2*(w - 1)/17
Let n(f) be the third derivative of -f**8/672 + f**7/21 - 97*f**6/240 + 97*f**5/60 - 43*f**4/12 + 14*f**3/3 - 83*f**2. Let n(m) = 0. What is m?
1, 2, 14
Let l(j) be the first derivative of j**6/6 + j**5/5 + 9. Determine y, given that l(y) = 0.
-1, 0
Let b(i) be the first derivative of 3*i**5/25 + 15*i**4/4 + 168*i**3/5 + 216*i**2/5 + 130. Factor b(w).
3*w*(w + 1)*(w + 12)**2/5
Let f(w) = -2*w**4 - 5*w**3 + 18*w**2 + 39*w + 14. Let x(u) = -15*u**4 - 36*u**3 + 126*u**2 + 273*u + 99. Let b(h) = 27*f(h) - 4*x(h). Factor b(d).
3*(d - 2)*(d + 1)**2*(2*d + 3)
Suppose 3*m = 36 - 24. Suppose -m*v = -2*p - 18, v = 2*v - p - 7. Solve -o**4 - 1 - 3/2*o**3 + v*o**2 + 3/2*o = 0 for o.
-2, -1, 1/2, 1
Let n(w) be the first derivative of 3*w**3 + 2 - 27/16*w**4 + 33/8*w**2 + 3/2*w. Factor n(u).
-3*(u - 2)*(3*u + 1)**2/4
Let f be (44/6 - 7)*111 - (6 - 1). Factor 128/3*z - 40/3*z**3 + 4/3*z**4 - 512/3 + f*z**2.
4*(z - 4)**3*(z + 2)/3
Let i be (3/((-45)/(-30)))/(21/2). Let m(w) be the second derivative of i*w**3 - 2/35*w**5 + 0 - 5*w + 1/7*w**2 - 1/42*w**4. Solve m(y) = 0 for y.
-1, -1/4, 1
Let a = 468 - 466. Let x(k) be the second derivative of -7*k + 0 - 1/36*k**4 + 2/9*k**3 - 2/3*k**a. Determine r so that x(r) = 0.
2
Let h(n) be the first derivative of 10*n**5/3 + 490*n**4/3 - 1214*n**3/3 + 980*n**2/3 - 328*n/3 - 232. Solve h(c) = 0.
-41, 2/5, 1
Let f = -56641/7 + 8095. Suppose -76/7*k**2 - f + 116/7*k - 16/7*k**3 = 0. Calculate k.
-6, 1/4, 1
Let a(y) = 6*y**2 - 10*y + 4. Let p(j) = j + 23. Let b be p(-7). Let g(w) = -w**2 + 2*w - 1. Let u(r) = b*g(r) + 3*a(r). What is s in u(s) = 0?
-2, 1
Let t(i) be the second derivative of i**6/15 - 3*i**5 + 9*i**4/2 + 58*i**3/3 - 541*i. Suppose t(k) = 0. Calculate k.
-1, 0, 2, 29
Factor 0 - 8/3*v**2 + 4/3*v**5 - 4/3*v + 0*v**3 + 8/3*v**4.
4*v*(v - 1)*(v + 1)**3/3
Factor 142 - 96*z**2 + 35*z**2 - 201 - 116*z - 3*z - z**3.
-(z + 1)**2*(z + 59)
Let w(f) be the second derivative of -1/10*f**5 + 2*f**2 + 5*f - 1/80*f**6 - 1/2*f**3 + 0 - 5/16*f**4. Let o(y) be the first derivative of w(y). Factor o(k).
-3*(k + 1)**2*(k + 2)/2
Let c be ((-2164)/(-720) - 5) + 2. Let o(v) be the third derivative of -1/18*v**3 + 0 + 6*v**2 - c*v**5 + 0*v - 1/36*v**4. Factor o(u).
-(u + 1)**2/3
Let r = 3283/69 + -1033/23. Determine g so that 16/3*g**4 - r + 44/3*g - 4/3*g**3 - 16*g**2 = 0.
-2, 1/4, 1
Let 2/19*t**4 + 2882/19*t**2 + 2592/19 + 148/19*t**3 + 5328/19*t = 0. Calculate t.
-36, -1
Let 12*i - 3*i**5 + 18*i**4 + 27*i**3 - 6*i**4 - 6*i**4 - 33*i**2 - 9*i**4 = 0. Calculate i.
-4, 0, 1
Let l(o) be the third derivative of o**5/60 - o**4/24 - 5*o**3 - 56*o**2. Factor l(r).
(r - 6)*(r + 5)
Let l(i) = -2*i + 4. Let h be l(3). Let v(u) = -2*u**2 - 8*u - 9. Let s(t) = t**2 - t + 1. Let d(g) = h*s(g) - 2*v(g). Factor d(w).
2*(w + 1)*(w + 8)
Let f(z) be the first derivative of -18 - 1/3*z**3 + 6*z - 1/2*z**2. Factor f(k).
-(k - 2)*(k + 3)
Let v(m) be the second derivative of -m**7/21420 + m**6/3060 + 25*m**4/12 + 10*m. Let c(l) be the third derivative of v(l). Solve c(w) = 0 for w.
0, 2
Let q be (9/2)/3*31/93. Let r(x) be the second derivative of -2*x + 0*x**4 - q*x**3 + x**2 + 0 + 1/20*x**5. Factor r(w).
(w - 1)**2*(w + 2)
Factor -27/2*m**4 - 675*m**3 - 666*m**2 - 221*m - 49/2.
-(m + 49)*(3*m + 1)**3/2
Let s = 22 + -373. Let b be (5/6 - 0)*s/(-195). Solve 3/2*p**3 - b*p - 3/2 + 3/2*p**2 = 0.
-1, 1
Let y(p) be the second derivative of -p**6/1440 + p**5/80 + 8*p**3/3 + 16*p. Let n(z) be the second derivative of y(z). Factor n(i).
-i*(i - 6)/4
Let o(s) be the first derivative of s**7/2100 + s**6/450 - s**5/75 - 2*s**4/15 - s**3/3 + 20. Let t(i) be the third derivative of o(i). Let t(w) = 0. What is w?
-2, 2
Factor 15*q - q**4 + 10*q**3 - 5*q**4 - 18*q**2 - 4 + 4*q**4 - q