e the second derivative of -q**4/42 + 96*q**3/7 - 20736*q**2/7 - 11*q - 3. Suppose w(k) = 0. Calculate k.
144
Suppose -93/2*w - 63/4 + 3/2*w**3 - 117/4*w**2 = 0. Calculate w.
-1, -1/2, 21
Suppose -w - 2*s = -6*s, s = 4*w - 30. Suppose 6*f - w*f = 6, -4*g = 3*f + 1. Solve 0 - 2/7*x**g + 2/7*x = 0.
0, 1
Let l(z) = 2*z. Let g be l(1). Factor -a**3 + 0*a**3 - g*a + 2*a**2 - 2 + 3*a**3.
2*(a - 1)*(a + 1)**2
Let v(h) be the third derivative of h**5/20 + h**4/4 - 12*h**3 - 3*h**2 - 30. Find x such that v(x) = 0.
-6, 4
Let p(m) be the first derivative of 9*m**4/4 + 2*m**3 + 2*m**2/3 + 17*m - 27. Let j(d) be the first derivative of p(d). Factor j(i).
(9*i + 2)**2/3
Let k(z) be the second derivative of 1/2*z**6 + 0 + 5/42*z**7 + 3/4*z**5 + 0*z**3 + 5/12*z**4 + 0*z**2 + 11*z. Factor k(t).
5*t**2*(t + 1)**3
Let g = -4908019589/580 - -8462105. Let u = -3/290 + g. Find c, given that 3/4 + 3/4*c**3 + u*c**2 + 9/4*c = 0.
-1
Factor 15*o**2 - 3*o**3 + 8*o**3 + 6*o**3 - 6*o**3.
5*o**2*(o + 3)
Let f(s) = 5*s**2 - 242. Let a(l) = -90*l**2 + 4355. Let m(b) = -3*a(b) - 55*f(b). Solve m(j) = 0.
-7, 7
Suppose 2*j + 2*j = 3*z, -2*z - 2*j = 0. Suppose 2*n - 33 - 5 = z. Suppose 0 - m**2 + 4 - 4*m - 4*m**3 + n*m**3 - 8*m = 0. Calculate m.
-1, 2/5, 2/3
Let s(z) be the second derivative of 8/15*z**6 - 2/21*z**7 - 16/3*z**4 + 0*z**2 + 0 + 32/3*z**3 - 43*z + 0*z**5. Factor s(o).
-4*o*(o - 2)**3*(o + 2)
Let x be 44 + (0/5)/(-4). Let g be (-3 + 128/x)/(2/(-8)). Find m, given that 2/11*m**5 - 6/11*m**4 + 2/11 + g*m**2 + 4/11*m**3 - 6/11*m = 0.
-1, 1
Let v = -831 - -835. Factor 2/9*l**5 + 0 + 2/3*l**3 - 2/9*l**2 + 0*l - 2/3*l**v.
2*l**2*(l - 1)**3/9
Let a(r) be the first derivative of r**4 + 16*r**3/3 - 2*r**2 - 16*r + 77. Factor a(v).
4*(v - 1)*(v + 1)*(v + 4)
Let j be (-13)/(-1) + 1 + -3. Factor -j*d + 14*d - 20*d**2 + 5*d.
-4*d*(5*d - 2)
Determine z, given that -3*z**5 - 19*z**3 + 50*z**2 - 4*z**4 - 5*z**3 - 32*z**2 - 7*z**4 - 7*z**4 + 27*z = 0.
-3, -1, 0, 1
Let h be -1 + (93/2 - -1). Let b = -45 + h. Find t, given that b*t**4 + 0 - 3*t + 3*t**3 - 3/2*t**2 = 0.
-2, -1, 0, 1
Let m(w) = -w**5 + 5*w**4 - w**3 - 9*w**2 + 2*w. Let d(a) = a**5 - 6*a**4 + 2*a**3 + 10*a**2 - 2*a. Let n(l) = 4*d(l) + 5*m(l). Factor n(k).
-k*(k - 1)**3*(k + 2)
Suppose 0 = 5*i + 20, -4*b - 4*i - 25 + 17 = 0. Let q(d) be the first derivative of 3/7*d**2 + 2/21*d**3 + 4/7*d + b. Find t, given that q(t) = 0.
-2, -1
Suppose 1 - 1 = t. Let s**5 + 0*s**5 + t*s**2 - s**4 - 8*s + s**2 + 10*s - 3*s**3 = 0. What is s?
-1, 0, 1, 2
Factor -1/7*y**3 - 1/7*y**2 - 8/7 + 10/7*y.
-(y - 2)*(y - 1)*(y + 4)/7
Let z(s) be the third derivative of s**7/1785 - 13*s**6/1020 + 41*s**5/510 - 47*s**4/204 + 6*s**3/17 - 273*s**2. Solve z(c) = 0 for c.
1, 2, 9
Let u be 14/(-462)*(-11)/3. Let t(p) be the first derivative of -2/3*p**2 - u*p**3 - p + 9. Find y, given that t(y) = 0.
-3, -1
Let d(b) be the third derivative of 1/120*b**6 - 1/6*b**3 + 2*b**2 + 0*b + 0 + 1/4*b**4 - 3/40*b**5. Let n(r) be the first derivative of d(r). Factor n(h).
3*(h - 2)*(h - 1)
Factor -64/3*s - 16/3*s**3 - 32/3 - 16*s**2 - 2/3*s**4.
-2*(s + 2)**4/3
Let q(l) be the third derivative of 1/3*l**4 + 1/20*l**5 - 1/210*l**7 + 15*l**2 + 0 - 1/60*l**6 + 0*l + 2/3*l**3. Let q(c) = 0. Calculate c.
-2, -1, 2
Suppose -l + 6*l - 20 = 0, -q - 3*l + 17 = 0. Let c be 2/(-10) - q/(-5). Suppose -2*p - 18/5*p**3 - c + 32/5*p**2 = 0. Calculate p.
-2/9, 1
Let o(q) = -2*q**3 + 3*q**2 + 8*q - 8. Let g be o(4). Let w = g + 131. Solve -w*t**2 - 9 - 125/3*t**3 - 45*t = 0 for t.
-3/5
Find f, given that 160/11*f**3 + 48/11*f**2 + 50/11*f**4 + 32/11 - 128/11*f = 0.
-2, 2/5
Let p be 5 + (-35)/5 - (-4 - 0). Let w(n) be the first derivative of -2*n - 9/2*n**4 + n**p - 9 + 6*n**3. Factor w(a).
-2*(a - 1)*(3*a - 1)*(3*a + 1)
Suppose -5*q + 61 = 11. Suppose -q = f - 14. Determine j, given that 4*j + 3*j - j + f + 2*j**2 = 0.
-2, -1
Let f(w) be the third derivative of 0*w - 3/80*w**5 - 6*w**2 + 0 + 0*w**4 + 1/2*w**3 - 1/160*w**6. Factor f(h).
-3*(h - 1)*(h + 2)**2/4
Suppose -103*w**2 + 36*w - 152*w**3 + 20 + 50*w + 120*w**4 - 25*w**2 - 426*w**3 = 0. What is w?
-1/3, -1/4, 2/5, 5
Let c(g) = g**2 - 1. Let d be (-36)/(-45)*30/(-4). Let h(p) = 2*p**2 - p - 1. Let r(y) = d*h(y) + 15*c(y). Let r(q) = 0. What is q?
-3, 1
Let u be 1/3 - (-11)/3. Factor 4*z**4 + 3*z**2 + 0*z**2 + z**3 - 5*z**4 - 2*z**u + z**5 - 2*z.
z*(z - 2)*(z - 1)**2*(z + 1)
Let v = -6763 + 6765. Determine w, given that -1/3*w - 4/3*w**3 + 5/3*w**v + 0 = 0.
0, 1/4, 1
Let j(i) be the first derivative of -7/20*i**4 + 1/15*i**3 + 0*i + 8/15*i**6 + 0*i**2 - 1 + 8/25*i**5. Factor j(p).
p**2*(p + 1)*(4*p - 1)**2/5
What is t in -5*t**3 + 2*t**3 + t**5 - 45805*t**2 + 45803*t**2 = 0?
-1, 0, 2
Solve 42/17 + 2/17*r**3 + 6/17*r**2 - 50/17*r = 0.
-7, 1, 3
Suppose -5*b - 3 - 7 = -5*t, 0 = 3*b + 5*t - 26. Let v(k) = -k**3 - 22*k**2 - 22*k - 21. Let z be v(-21). Factor z + 4/11*u - 2/11*u**b.
-2*u*(u - 2)/11
Let v(p) be the second derivative of p**7/15120 - p**6/1440 + p**5/360 - 4*p**4/3 - 3*p**2/2 - 3*p. Let n(b) be the third derivative of v(b). Factor n(y).
(y - 2)*(y - 1)/6
Let g(w) be the third derivative of -1/7*w**4 + 0 - 1/140*w**5 + 9/14*w**3 + 0*w + 7*w**2. Factor g(n).
-3*(n - 1)*(n + 9)/7
Let v(n) = n**3 + 9*n**2 + 3*n - 17. Let j be v(-8). Suppose j*p - 16 = 19*p. Factor -30*a - a**2 - 20 - 25 - p*a**2.
-5*(a + 3)**2
Suppose 148 = 4*x - 0*x. Factor -x*u**3 - 19*u**3 - 30*u**2 - 15*u**5 - 14*u**3 - 4 + 9 - 55*u**4 + 5*u.
-5*(u + 1)**4*(3*u - 1)
Let p(b) be the third derivative of -b**6/120 - 3*b**5/10 - b**4/24 - 17*b**3/6 - 8*b**2. Let a be p(-18). Factor 1/2*r**2 + a + 3/2*r.
(r + 1)*(r + 2)/2
Let j(q) be the third derivative of q**7/945 + q**6/270 - q**5/270 - q**4/54 - 57*q**2. Let j(h) = 0. What is h?
-2, -1, 0, 1
Let n(p) be the third derivative of 0*p**3 + 0 + 3*p - 1/360*p**6 + 1/60*p**5 - 1/36*p**4 - 3*p**2. Factor n(u).
-u*(u - 2)*(u - 1)/3
Let r be (-22)/(-649) - 3754/(-649). Factor -r*q**4 + 6/11 + 24/11*q**2 + 48/11*q**3 - 28/11*q.
-2*(2*q - 1)**3*(4*q + 3)/11
Let w(j) be the first derivative of -2*j**3/3 - 2*j**2 + 30*j + 79. Determine c so that w(c) = 0.
-5, 3
Let g(z) = -77*z - 305. Let s be g(-4). Let k(u) be the second derivative of 0 + 6/5*u**2 - 2/5*u**s + 1/20*u**4 + 12*u. Determine r so that k(r) = 0.
2
Let w = 2/183 - -40/61. Find j, given that -4*j - 1/3*j**4 - 3 + w*j**2 + 4/3*j**3 = 0.
-1, 3
Let q(r) be the third derivative of r**7/630 + r**6/40 - 11*r**5/60 + 35*r**4/72 - 2*r**3/3 + 186*r**2. Solve q(h) = 0 for h.
-12, 1
Let y = 20 + -2. Factor 16 + 23*b**3 + 2*b**4 - 40*b + 36*b**2 - 55*b**3 + y*b**3.
2*(b - 2)**3*(b - 1)
Let a(f) be the first derivative of f**6/21 - 11*f**4/14 - 12*f**3/7 - 8*f**2/7 + 62. Find p, given that a(p) = 0.
-2, -1, 0, 4
Let t(d) be the first derivative of d**4 + 176*d**3/3 + 170*d**2 + 168*d + 259. Suppose t(r) = 0. What is r?
-42, -1
Let u = -1145 + 10315/9. Factor -2/9*z**3 - u*z + 8/9*z**2 + 4/9.
-2*(z - 2)*(z - 1)**2/9
Suppose 15/2*d**3 + 71/2*d**2 + 1/2*d**4 + 36 + 129/2*d = 0. Calculate d.
-8, -3, -1
Let n = -22 - -24. Let k(b) be the second derivative of 1/9*b**3 + 0 - 7*b + 0*b**n - 1/18*b**4. Suppose k(f) = 0. Calculate f.
0, 1
Let -28/3*u**2 + 0 + 0*u - 4*u**3 + 1/3*u**4 = 0. Calculate u.
-2, 0, 14
Let j = 3 + 0. Suppose -j*l = 9, -3*l = -5*f + 284 - 30. Factor -43*z**4 + 18*z - 76*z**4 - 67*z**3 + 4*z + 23*z**2 - 4 - 6*z - f*z**5.
-(z + 1)**3*(7*z - 2)**2
Let h be (3 - (2 + -1)) + -2. Suppose h = 2*p + 3*o - 6, -2*o = 4*p - 3*o - 12. Factor -8*d**4 + 4*d**5 - p*d**2 - 2*d**2 + 5*d**2 + 4*d**3.
4*d**3*(d - 1)**2
Let i be 1*2/(4/18). Let k = i + -7. Factor 3*c - 2*c**k + 3*c**2 - 3*c**2 - c**2.
-3*c*(c - 1)
Let z = 6651 + -6651. Factor z + 5/2*v - 5/2*v**2.
-5*v*(v - 1)/2
Suppose -5*o + 0*i + 4*i + 177 = 0, -4*o + 126 = 2*i. Suppose 4*r + 17 = o. What is g in 0*g + 2/7*g**5 + 6/7*g**3 - 2/7*g**2 + 0 - 6/7*g**r = 0?
0, 1
Let h(c) be the third derivative of c**6/30 - 4*c**5/15 + 2*c**4/3 - 73*c**2 - 1. Let h(s) = 0. Calculate s.
0, 2
Suppose -5*y + 8 + 2 = 0. Let m(d) be the second derivative of -1/20*d**5 + 1/6*d**4 + 0*d**2 + 0 - 1/6*d**3 - y*d. Determine a, given that m(a) = 0.
0, 1
Let s = 90172/29007 - -8/3223. Determine d, given that 4/9*d**2 + 0 - s*d = 0.
0, 7
