/7*w**u - 2/7*w - 4/7 = 0.
-1, 2
Let i(k) = -13*k**4 + 139*k**3 - 681*k**2 - 3071*k - 2246. Let p(w) = 2*w**4 - w**3 - w**2 - w - 1. Let o(d) = -i(d) - 4*p(d). Find f, given that o(f) = 0.
-2, -1, 15
Let i(l) = -l**3 + 2*l**2 - 1. Let m(j) = -15*j**3 + 55*j**2 + 10*j - 20. Let p(u) = 20*i(u) - m(u). Factor p(h).
-5*h*(h + 1)*(h + 2)
Suppose 14*f - 19*f + 10 = 0. Factor -14*h**2 - 4 - 15*h**f + 30*h**2.
(h - 2)*(h + 2)
Let y be ((-6)/4)/(1/(-2)). Let b be 3*(-2)/y*-2. Solve 0*w**4 - 6*w**3 + 4*w**3 - 2*w**4 + 0*w**b = 0 for w.
-1, 0
Let p be (-2)/(-9) + (52788/(-378))/(-53). Solve 8/7*z**3 + p + 16/7*z - 44/7*z**2 = 0 for z.
-1/2, 1, 5
Let v(m) be the third derivative of 1/6*m**5 + 0*m**4 + 0 + 0*m + 13*m**2 - 3/8*m**6 + 0*m**3 + 2/7*m**7 - 25/336*m**8. Factor v(q).
-5*q**2*(q - 1)**2*(5*q - 2)
Let s(t) be the third derivative of 49*t**6/30 - 280*t**5/3 + 394*t**4/3 - 224*t**3/3 - 40*t**2. Factor s(g).
4*(g - 28)*(7*g - 2)**2
Let w(y) be the third derivative of -y**2 + 0 + 7/24*y**4 - 1/30*y**5 - 1/120*y**6 + 0*y - 2/3*y**3. Factor w(s).
-(s - 1)**2*(s + 4)
Let j(a) be the third derivative of 0*a + 0*a**4 + 5/6*a**3 - 1/12*a**5 - a**2 + 0. Factor j(k).
-5*(k - 1)*(k + 1)
Let p be 141/3 + 0/(-2). Let j = 142/3 - p. Solve 0 - j*s + 1/3*s**2 = 0.
0, 1
Let g(d) be the second derivative of -1/4*d**5 + 0*d**2 - 1/18*d**3 + 1/10*d**6 + 0 + 7/36*d**4 - 2*d. Factor g(t).
t*(t - 1)*(3*t - 1)**2/3
Let x(m) be the third derivative of m**5/210 + m**4/2 - 43*m**3/21 + 82*m**2. Factor x(z).
2*(z - 1)*(z + 43)/7
Let z(y) be the second derivative of 3*y**5/50 - 23*y**4/15 + 32*y**3/3 + 128*y**2/5 - y - 14. Determine q so that z(q) = 0.
-2/3, 8
Let y(r) be the second derivative of -r**6/15 + 2*r**5/25 + r**4/30 - r + 45. Factor y(k).
-2*k**2*(k - 1)*(5*k + 1)/5
Let c(j) be the first derivative of -5*j**6/6 + 3*j**5 + 5*j**4 - 308. Factor c(y).
-5*y**3*(y - 4)*(y + 1)
Let y(k) be the first derivative of 1/5*k**5 + 6 + 0*k**3 + 1/30*k**6 + 1/3*k**4 + 0*k - 6*k**2. Let g(q) be the second derivative of y(q). Factor g(c).
4*c*(c + 1)*(c + 2)
Let p(r) = 9*r**4 + 90*r**3 + 1158*r**2 + 6144*r + 12294. Let x(j) = -j**3 - 39*j**2 - 3 + 1 + 40*j**2 + 3 + j**4. Let n(d) = p(d) - 6*x(d). Factor n(u).
3*(u + 8)**4
Let t(l) be the second derivative of l**5/50 - l**4/60 - 2*l**3/15 + 3*l**2/10 - l + 1. Find g such that t(g) = 0.
-3/2, 1
Suppose 360 = -5*j + 13*j. Let -32*s**3 - 211*s + j*s**2 - 3*s**4 + 18*s**4 + 82*s**3 + 221*s = 0. Calculate s.
-2, -1, -1/3, 0
Let o(c) = 7*c**3 + c**2 - 5*c. Let d(b) = 3*b**3 - 2*b. Let h be 3 + -2 + 0 + -2 + 3. Let n(z) = h*o(z) - 5*d(z). Let n(k) = 0. What is k?
0, 2
Factor -40 - 38*r - 44*r - 25*r - 60*r**2 + 32*r - 8*r**3 - 33*r.
-4*(r + 2)*(r + 5)*(2*r + 1)
Let g(y) be the first derivative of -y**9/1512 + y**8/280 - 7*y**3 - 16. Let z(l) be the third derivative of g(l). Let z(k) = 0. What is k?
0, 3
Let w(g) be the first derivative of 1/5*g**2 + 0*g - 2/5*g**4 - 2/5*g**3 + 10. Find j, given that w(j) = 0.
-1, 0, 1/4
What is z in 52/9*z - 112/9 + 2/9*z**2 = 0?
-28, 2
Factor 1/4 + 1/2*x + 1/4*x**2.
(x + 1)**2/4
Let l(t) = t**2 - 18*t + 8. Let f be l(17). Let m(x) = x + 13. Let r be m(f). What is a in 2/7*a**5 - 2/7*a**2 + 6/7*a**3 - 6/7*a**r + 0 + 0*a = 0?
0, 1
Let p(b) = -b**2 + 7*b - 7. Let o be p(2). Let q(s) be the first derivative of -1/8*s**4 + 3 - 1/2*s**2 + 0*s - 1/2*s**o. Factor q(r).
-r*(r + 1)*(r + 2)/2
Let i(r) be the third derivative of -r**6/30 - 22*r**5/15 - 121*r**4/6 + 51*r**2. Factor i(n).
-4*n*(n + 11)**2
Let d(l) = 7*l**2 - 2*l - 5. Let j(g) = 15*g**2 - 4*g - 11. Let y(p) = 7*p - 15. Let b be y(4). Let h(u) = b*d(u) - 6*j(u). Factor h(x).
(x - 1)**2
Let p = 73 + -49. Let u be p/9 + -3 + 14/6. Factor 0 + 2/7*a**u - 2/7*a**3 + 0*a.
-2*a**2*(a - 1)/7
Let d(v) be the first derivative of v**7/280 + v**6/60 - v**5/10 - v**4 - 2*v**3/3 + v + 4. Let f(l) be the third derivative of d(l). Factor f(p).
3*(p - 2)*(p + 2)**2
Suppose 5*q - 5*a - 3830 = 0, -2*q + 1520 = -0*q - 5*a. Determine m, given that -4*m**5 - 20*m**4 - 12*m**2 + q*m - 770*m - 28*m**3 = 0.
-3, -1, 0
Let v be (0/(9 + 18))/1. Suppose 0*i - 1/2*i**5 + 7/2*i**3 + 3*i**2 + 0*i**4 + v = 0. Calculate i.
-2, -1, 0, 3
Let j(s) be the third derivative of s**8/168 - s**7/105 - s**6/30 - 45*s**2. What is b in j(b) = 0?
-1, 0, 2
Let y(n) be the second derivative of -6/35*n**5 + 32/7*n**4 + 48/7*n**2 - 17/35*n**6 + 16*n - 64/7*n**3 + 0 + 5/49*n**7. Determine z so that y(z) = 0.
-2, 2/5, 1, 2
Let g(c) be the first derivative of -9*c**2 - 12*c**4 - 14*c**3 - 27/5*c**5 - 11 - 3*c - c**6. Factor g(x).
-3*(x + 1)**4*(2*x + 1)
Let r(c) = c**4 + c**3 + c. Let k(u) = -15*u**5 + 11*u**4 - 9*u**3 - 5*u. Let l(p) = 3*k(p) + 15*r(p). Factor l(h).
-3*h**3*(3*h - 2)*(5*h - 2)
Factor -2099 + 155*a + 0*a + 8174 + 115*a + 3*a**2.
3*(a + 45)**2
Let i be ((-14)/84)/((-1358)/(-273) + -5). Determine a so that 11/2*a**3 - i*a**4 + 0 + 0*a + a**2 = 0.
-2/13, 0, 1
Let k be 16/18*2475/132. Factor -2/3*q**2 - k + 20/3*q.
-2*(q - 5)**2/3
Let g(z) be the third derivative of 1/2*z**4 + 6*z**2 + 3/2*z**3 + 1/20*z**5 + 0 + 0*z. Factor g(v).
3*(v + 1)*(v + 3)
Let l(o) be the third derivative of -o**4/4 + 37*o**3/3 - 33*o**2. Let s be l(12). Solve 1/5*i**s + 0 - 1/5*i = 0 for i.
0, 1
Let s = 66 + -46. Factor 105*t**2 + s*t**3 + 13*t**2 - 80*t - 10*t**2 - 48.
4*(t - 1)*(t + 6)*(5*t + 2)
Let h(f) be the third derivative of -f**6/210 + f**5/84 + f**4/84 - 2*f**3/3 - 12*f**2. Let o(w) be the first derivative of h(w). Factor o(r).
-2*(r - 1)*(6*r + 1)/7
Let w be -1 + 2 - (20 + -19). Let p(c) be the second derivative of w + 9/4*c**2 - 5*c + 1/24*c**4 - 1/2*c**3. Determine j, given that p(j) = 0.
3
Let r = -173/3 - -57. Let d = r - -1. Suppose d - 1/6*g**2 + 1/6*g = 0. Calculate g.
-1, 2
Let a(c) be the first derivative of -24 + 18/7*c + 2/21*c**3 + 6/7*c**2. Determine b, given that a(b) = 0.
-3
Let w(i) be the second derivative of -2*i**7/21 + 38*i**6/15 - 99*i**5/5 + 27*i**4 + 3*i. Determine n, given that w(n) = 0.
0, 1, 9
Let f = -1448 - -10144/7. Find m, given that -10/7*m**3 + f*m**4 + 0 + 4/7*m**2 + 0*m - 2/7*m**5 = 0.
0, 1, 2
Let f be 1 - 16/12*-3. Let j = -8 - -13. Determine w, given that -j*w**2 + 5*w**2 - w**2 + w**3 + w**4 - w**f = 0.
-1, 0, 1
Let s = 4231/35675 - -2/1427. Let t = s + 7/25. Factor -1/5*x - t*x**2 + 0 - 1/5*x**3.
-x*(x + 1)**2/5
Let y(a) be the second derivative of -a**6/120 + a**5/5 + 3*a**4/8 - 2*a**3/3 - 17*a**2/8 - 39*a + 1. Factor y(m).
-(m - 17)*(m - 1)*(m + 1)**2/4
Let c(a) = 9*a**3 - 506*a**2 + 17340*a - 196518. Let o(j) = -110*j**3 + 6070*j**2 - 208080*j + 2358215. Let l(g) = 25*c(g) + 2*o(g). Factor l(h).
5*(h - 34)**3
Suppose 0 = 31*a - 26*a - 15. Let x(j) be the first derivative of j**2 + 1/2*j**4 + 4/3*j**3 + a + 0*j. Suppose x(i) = 0. What is i?
-1, 0
Suppose 0 = -12*k - 9*k + 105. Let y = 3 - 3. Factor y + 4/9*d + 10/9*d**2 + 2/3*d**3 - 2/9*d**k - 2/9*d**4.
-2*d*(d - 2)*(d + 1)**3/9
Let l(c) be the first derivative of -c**5/5 - 5*c**4/4 + c**3/3 + 5*c**2/2 + 240. Let l(p) = 0. What is p?
-5, -1, 0, 1
Solve 915*w + 281*w**3 + 1712*w**2 + 391*w**3 - 8*w**5 + 25*w**3 + 36*w**4 + 957*w - 133*w**3 + 576 = 0.
-3, -2, -1/2, 12
Let n(w) be the third derivative of -1/30*w**5 + 1/3*w**3 - 12*w**2 + 0 + 0*w - 1/8*w**4. Find y, given that n(y) = 0.
-2, 1/2
Suppose 3*f - 48 = -9*f. Suppose f*n - 12 = -2*u, 10 = 3*u + 4*n - 2*n. Factor -10/3*y - 2 - 4/3*y**u.
-2*(y + 1)*(2*y + 3)/3
Let g(y) = -y**3 - 5*y**2 + 4. Let n be g(-5). Let h = 61 - 54. Let -h*d**2 - d**2 + 3*d**n + 5*d**2 = 0. Calculate d.
-1, 0, 1
Let h be (2/3*3)/(8/68). Suppose h*a = -31 + 82. Find f, given that -2/7*f + 4/7*f**4 - 4/7*f**2 + 2/7*f**5 + 0 + 0*f**a = 0.
-1, 0, 1
Suppose 49 = -2*k - 3*a + 2*a, -51 = 3*k - 3*a. Let m = 23 - k. Let -6*v**2 + 25*v**3 + 250*v**4 - 9*v**2 - m*v - 255*v**4 = 0. Calculate v.
-1, 0, 3
Let g = 11 + -7. Suppose j = 3*z - 12 - 23, -28 = -2*z - g*j. Factor -25*m**3 + 10*m**3 + 11*m**3 + z*m + 8.
-4*(m - 2)*(m + 1)**2
Suppose 0*f - 5*f = -25. Suppose -5*h + 2*n = 4*n - 2, 0 = -4*h - 5*n + f. Factor 2*p**5 - 7/2*p**4 + h*p - p**3 + 0*p**2 + 0.
p**3*(p - 2)*(4*p + 1)/2
Let w be (-12)/(-14) - (-32)/28. Let c = 0 + 4. Suppose -4 + 14*x**4 + 3 + 1 + 4*x - c*x**3 - 14*x**w = 0. Calculate x.
-