nd derivative of t**5/10 + 8*t**4/3 - t**3/3 - 16*t**2 + 529*t - 1. Factor j(k).
2*(k - 1)*(k + 1)*(k + 16)
Let q(o) be the third derivative of -o**8/112 - 3*o**7/35 - o**6/5 + o**5/10 + 9*o**4/8 + 2*o**3 + 4*o**2 - 28. Factor q(u).
-3*(u - 1)*(u + 1)**3*(u + 4)
Let d = -3221 - -3223. Factor 3/5*j**d - 3/5*j**3 - 3/5 + 3/5*j.
-3*(j - 1)**2*(j + 1)/5
Solve 0 - 1/9*p**3 + 2/9*p + 1/9*p**2 = 0 for p.
-1, 0, 2
Let s(l) be the first derivative of 0*l**5 + 0*l**3 + 2 + 0*l**2 - 4*l - 1/105*l**7 + 0*l**4 + 1/75*l**6. Let h(d) be the first derivative of s(d). Factor h(n).
-2*n**4*(n - 1)/5
Let t = -359 + 361. Let u(h) be the second derivative of 0 + 0*h**3 - h**t - 5*h + 1/6*h**4. Factor u(j).
2*(j - 1)*(j + 1)
Let c(q) be the second derivative of -q**5/4 + 85*q**4/12 - 105*q**3/2 - 405*q**2/2 + 2*q. Let c(y) = 0. Calculate y.
-1, 9
Suppose -o**2 + 1/4*o**3 + 0 + 3/4*o = 0. Calculate o.
0, 1, 3
Let r = 34147/22762 - 2/11381. Factor -3*t**3 + 3/2*t**4 + r*t**2 + 0*t + 0.
3*t**2*(t - 1)**2/2
Let o(c) = c**5 - c**3 - c**2 + 3*c + 1. Let w(p) = -5*p**5 + 33*p**4 - 61*p**3 - 103*p**2 + 276*p - 146. Let v(b) = 2*o(b) + w(b). What is z in v(z) = 0?
-2, 1, 3, 8
Let k(x) be the first derivative of -x**7/1120 - x**6/480 + x**5/80 + 4*x**3 - 4. Let t(j) be the third derivative of k(j). Solve t(h) = 0 for h.
-2, 0, 1
Let w(y) be the first derivative of 2/9*y**3 + 10/3*y**2 - 16 + 50/3*y. Let w(m) = 0. Calculate m.
-5
Let y(w) = -14*w + 130. Let p be y(9). Let q(t) be the first derivative of -2 - 1/15*t**5 + 1/3*t**2 + 1/3*t + 0*t**3 - 1/6*t**p. Solve q(j) = 0 for j.
-1, 1
Solve -2317*w**3 + 5*w**2 + 2312*w**3 + 0*w**2 = 0 for w.
0, 1
Let f(k) be the third derivative of -2/3*k**3 + 1/3*k**4 - 1/15*k**6 + 0*k + 4/15*k**5 - 2/35*k**7 - 13*k**2 + 0. Find l, given that f(l) = 0.
-1, 1/3, 1
Let g = 1611 - 1609. Let q(a) be the third derivative of -7*a**g + 1/32*a**4 - 1/480*a**6 + 0*a + 0*a**5 + 0 - 1/12*a**3. Solve q(v) = 0 for v.
-2, 1
Let t(p) be the first derivative of -p**6/27 - 4*p**5/15 - 5*p**4/18 - 71. Factor t(u).
-2*u**3*(u + 1)*(u + 5)/9
Factor 12/7 - 39/7*h + 45/7*h**2 + 3/7*h**4 - 3*h**3.
3*(h - 4)*(h - 1)**3/7
Factor 1/4*i + 3/4*i**3 + 0 + 3/4*i**2 + 1/4*i**4.
i*(i + 1)**3/4
Let t = -100 - -94. Let u(g) = 9*g**4 - g**3 - g**2 + g - 8. Let b(m) = -8*m**4 + m**2 + 7. Let p(f) = t*b(f) - 5*u(f). Determine x so that p(x) = 0.
-1, -2/3, 1
Let n(w) be the second derivative of 0*w**2 + 0 + 0*w**3 - 1/15*w**5 - 5*w - 2/135*w**6 + 0*w**4. Factor n(v).
-4*v**3*(v + 3)/9
Factor -22*h**3 + 40*h**3 + 24*h + 76*h**2 - 22*h**3 + 56*h.
-4*h*(h - 20)*(h + 1)
Let h be 208/2548*(-1 - -29). Let -h*p**2 + 0*p + 0 + 36/7*p**3 + 2*p**5 + 66/7*p**4 = 0. Calculate p.
-4, -1, 0, 2/7
Let z(l) be the first derivative of -2/7*l**2 - 8/7*l + 6 + 4/21*l**3. Factor z(s).
4*(s - 2)*(s + 1)/7
Let z(f) = -70*f - 1538. Let t be z(-22). Solve -2/3*l**5 - 8/9*l**4 + 4*l**t + 16/9*l**3 + 22/9*l + 4/9 = 0 for l.
-1, -1/3, 2
Let p = 197 + -4723/24. Let j(b) be the second derivative of -5/3*b**3 + 5*b**2 + p*b**4 + 0 - 3*b. Determine w so that j(w) = 0.
2
Let h(w) be the third derivative of -5*w**8/672 - 13*w**7/42 - 151*w**6/48 - 181*w**5/12 - 485*w**4/12 - 190*w**3/3 - 195*w**2. Let h(d) = 0. What is d?
-19, -2, -1
Let w(h) be the third derivative of -h**6/660 + 7*h**5/330 - 2*h**4/33 - 16*h**3/33 + 21*h**2 - h. Let w(g) = 0. What is g?
-1, 4
Let y(r) be the second derivative of 1/12*r**4 + 1/6*r**3 + 0*r**2 + 0 - 7*r. Let n(m) = 3*m**4 + 6*m**3 - 3*m**2 - 6*m. Let q(t) = n(t) + 6*y(t). Factor q(a).
3*a**2*(a + 1)**2
Let t(v) be the first derivative of v**8/280 - 9*v**7/280 + v**6/30 + 2*v**3/3 - 9. Let h(i) be the third derivative of t(i). Factor h(n).
3*n**2*(n - 4)*(2*n - 1)
Suppose 0 = -4*l + 20, -5 = -2*z - 3*l + 2*l. Let t be z/((-6)/7*35/(-10)). Factor t - 3/4*m**2 + 0*m**3 + 3/4*m**4 + 0*m.
3*m**2*(m - 1)*(m + 1)/4
Let w(i) be the first derivative of 30 - 14*i - 2/21*i**3 + 2*i**2. Factor w(p).
-2*(p - 7)**2/7
Let d(j) = -j**2 + 5*j + 6. Let o be d(6). Suppose o*h = -2*h - 4*u + 14, h = -3*u + 9. Find l such that -l**2 - 12 + h*l**2 + 2*l**2 - 8*l = 0.
-1, 3
Let j(p) be the third derivative of p**8/20160 + p**7/2520 + 7*p**5/30 + 3*p**2. Let n(l) be the third derivative of j(l). Factor n(h).
h*(h + 2)
Let a = -83 - -97. Let x be (-4)/a*56/(-32). Find z such that 0 + 0*z + 1/2*z**4 + z**3 + x*z**2 = 0.
-1, 0
Solve -1/4*f**2 + 97/2*f + 0 = 0 for f.
0, 194
Suppose 5*i = -9 + 34. Let b be 4/(21 - i) - (-15)/4. Solve 3*z**b + 0 + 0*z - 15/7*z**5 + 0*z**2 - 6/7*z**3 = 0.
0, 2/5, 1
Suppose -2*z - 200 = 5*i, 0 = -5*i + 3*i + 5*z - 109. Let j be (4/2)/(-4)*36/i. Factor -3/7 + 9/7*x**4 - 6/7*x**3 - j*x**5 - 6/7*x**2 + 9/7*x.
-3*(x - 1)**4*(x + 1)/7
Suppose -5*q + 0*q + 5*s = 0, -4*q + 5*s = 0. Let j(i) be the first derivative of -1/6*i**4 + q*i - 5 - 10/63*i**3 + 2/21*i**2. Factor j(c).
-2*c*(c + 1)*(7*c - 2)/21
Let x be (3 + -2)/(((-6)/(-18))/1). Let w(l) be the first derivative of 1/3*l**6 - 3 + 11/10*l**5 + 9/8*l**4 + 1/6*l**x + 0*l - 1/4*l**2. Solve w(s) = 0.
-1, 0, 1/4
Let f = 1188790481/4198695 + 2/279913. Let u = f - 283. What is n in -6/5 - u*n**2 - 4/5*n = 0?
-3
Suppose 2*q**5 - 34 + 9*q**4 + 20 + 0*q**4 + 26*q - 28*q**3 + 4*q**2 + q**4 = 0. Calculate q.
-7, -1, 1
Find s, given that -34/7*s - 8*s**3 + 86/7*s**2 + 4/7 = 0.
1/4, 2/7, 1
Let p = -335/987 - -7/47. Let s = p + 6/7. Factor 4/3 - 2/3*g**2 - s*g.
-2*(g - 1)*(g + 2)/3
Let l(x) = x**3 + 3*x**2 - 2*x - 1. Let m be l(-3). Suppose -10 = -5*k + m. Suppose -3*u**3 - u**k - u**2 + 3*u**3 = 0. Calculate u.
-1, 0
Let m(b) = -4*b**2 + 10*b - 22. Let c(t) = -3*t**2 + 11*t - 22. Let r(k) = 3*c(k) - 2*m(k). Determine o, given that r(o) = 0.
2, 11
Let l(p) be the third derivative of p**7/840 - p**6/480 - 4*p**2 - 13*p. Factor l(x).
x**3*(x - 1)/4
Let b(p) be the third derivative of -p**6/30 - 4*p**5/15 + 5*p**4/6 - 70*p**2. Determine m, given that b(m) = 0.
-5, 0, 1
Let v be 406/49 - (-4)/(-14). Let f be 4/v - 9/(-2). Suppose -4 - 2*p + 7*p**5 + 35*p**f + 8*p - 13*p**2 - 40*p**4 + 57*p**2 - 48*p**3 = 0. What is p?
-1, -1/3, 2/7, 1
Let 102 - 201/2*l**2 - 3/2*l**4 + 54*l - 54*l**3 = 0. What is l?
-34, -2, -1, 1
Let c = 5359/9 + -595. Let y(m) be the second derivative of 0 - 12*m + 2/9*m**4 + c*m**3 + 0*m**2 + 1/30*m**5. Let y(j) = 0. Calculate j.
-2, 0
Suppose 0 = -5*h - 2 + 52. Factor 21*y**2 + h*y**3 + 2*y**4 - 26*y**2 - 10*y + 3*y**4.
5*y*(y - 1)*(y + 1)*(y + 2)
Let t be 11000/770 - (-1 + 15). Factor t + 0*o - 2/7*o**2.
-2*(o - 1)*(o + 1)/7
Let y = -4605 - -4607. Let 0*v + 1/6*v**3 + 2/3*v**y + 0 = 0. Calculate v.
-4, 0
Let c be (-60)/(-14) - (1 + 30/(-42)). Factor -17*b**2 + 21*b - 26*b - 15*b**3 - 5*b**c + 2*b**2.
-5*b*(b + 1)**3
Find f, given that 94*f**3 - 62*f**4 + 1039*f**5 - 1035*f**5 - 30*f**3 + 22*f**4 = 0.
0, 2, 8
Let w be 20/312*-2 - 3/9. Let v = -11/52 - w. Factor 1/4*r**2 - v*r**4 + 0 + 1/4*r**3 - 1/4*r.
-r*(r - 1)**2*(r + 1)/4
Let p(u) be the first derivative of -27 + 4/5*u**5 - 16/15*u**3 - 8/5*u**4 + 0*u + 0*u**2. Factor p(i).
4*i**2*(i - 2)*(5*i + 2)/5
Let f = 335 - 233. Let l be f/27 - 4/(-18). Suppose 0*y**2 - 15 + 16*y**3 + 15 + 4*y**2 + 7*y**l = 0. What is y?
-2, -2/7, 0
Solve -22/7*j**2 - 2/7*j**4 - 24/7*j**3 + 0 + 0*j = 0.
-11, -1, 0
Let t be 10*1*(6 + -5 + 1). Let f**3 - f + t - 20 = 0. Calculate f.
-1, 0, 1
Let l(k) be the first derivative of -8*k**2 - 112/3*k**3 - 221/3*k**4 - 14*k - 1 - 169/5*k**5. Let m(u) be the first derivative of l(u). Factor m(z).
-4*(z + 1)*(13*z + 2)**2
Let z(q) be the second derivative of 2/7*q**3 + 0 + 1/28*q**4 + 6/7*q**2 - 2*q. Find m such that z(m) = 0.
-2
Let n = -1149 + 3449/3. Factor 0 + 2/9*r + n*r**3 + 2/9*r**4 + 2/3*r**2.
2*r*(r + 1)**3/9
Let -17/5*l**4 - 3/5*l**5 - 22/5*l**3 + 0*l + 0 - 8/5*l**2 = 0. What is l?
-4, -1, -2/3, 0
Let q(o) be the second derivative of -o**6/120 + 131*o**5/160 - 22*o**4 - 363*o**3/16 + 181*o. Factor q(p).
-p*(p - 33)**2*(2*p + 1)/8
Factor 171*g - 36*g**3 + 531 + 352*g**2 - 339 + 773*g.
-4*(g - 12)*(g + 2)*(9*g + 2)
Let p = 5112 - 5110. Factor 0*n + 4/3*n**4 + 0 + 4*n**3 + 8/3*n**p.
4*n**2*(n + 1)*(n + 2)/3
Let a = 8/7383 + -984568/155043. Let d = a + 46/7. Suppose -2/9*u - 2/9*u**2 + 2/9*u**3 + d = 0. Calculate u.
-1, 1
Factor 5*x**2 + 50/3 + 85/3*