he third derivative of z**8/1344 - 31*z**7/840 + 7*z**6/12 - 49*z**5/20 - 93*z**2 - 5*z + 4. Factor v(s).
s**2*(s - 14)**2*(s - 3)/4
Let c = 827 + -827. Let l(x) be the third derivative of -1/240*x**6 + 1/24*x**5 + 0 + 0*x**4 + c*x**3 - 18*x**2 + 0*x. Factor l(k).
-k**2*(k - 5)/2
Let p = 1406/927 - -4/103. Let s(l) be the first derivative of -32/15*l**5 - 1/3*l**2 + p*l**3 + 0*l + 26 - 4/3*l**4. Determine q, given that s(q) = 0.
-1, 0, 1/4
Let z(c) be the third derivative of c**7/70 - 27*c**6/40 + 63*c**5/5 - 235*c**4/2 + 600*c**3 - 327*c**2 + 2. Factor z(q).
3*(q - 10)**2*(q - 4)*(q - 3)
Let q(z) be the first derivative of -1/4*z**3 + 9/4*z - 23 + 3/4*z**2. What is w in q(w) = 0?
-1, 3
Factor -32/11*l**2 + 3440/11*l - 92450/11.
-2*(4*l - 215)**2/11
Let n(v) be the first derivative of -12*v**3 + 28/5*v**5 - 48 - 10*v**2 + 5*v**4 + 8*v. Let n(r) = 0. What is r?
-1, 2/7, 1
Suppose -201*g - 199*g - 205*g - 5*g**2 + 2 + 23 + 585*g = 0. Calculate g.
-5, 1
Let s(n) be the third derivative of -1/112*n**8 + 3/2*n**4 + 0*n**3 + 66*n**2 + 0 + 1/35*n**7 + 7/40*n**6 + 0*n - n**5. Find c, given that s(c) = 0.
-3, 0, 1, 2
Let k = -12928/177 + 4329/59. Suppose -10 = -3*y - 2*y. Factor k + 1/6*c - 1/6*c**y.
-(c - 2)*(c + 1)/6
Let w(d) be the first derivative of 2/3*d**6 - 22*d**2 + 0*d + 16*d**3 - 48/5*d**5 + 10*d**4 - 124. Suppose w(s) = 0. What is s?
-1, 0, 1, 11
Let t(p) = -2*p**3 - 38*p**2 - 33*p + 14. Let m be t(-18). Let z be (-1)/(-3)*((-215)/m - 5). Factor 0*b**2 + 0*b + z*b**3 + 0.
b**3/8
Let u(x) be the second derivative of -11/72*x**4 - 218*x + 0 + 8/9*x**3 - 7/3*x**2 + 1/120*x**5. Determine o, given that u(o) = 0.
2, 7
Let d(x) be the second derivative of 27/2*x**4 + 25/14*x**7 - 36*x**2 - 12*x**6 - 2 - 10*x - 573/20*x**5 + 38*x**3. Solve d(h) = 0 for h.
-1, 2/5, 6
Let s(f) be the third derivative of 1/45*f**6 + 7/54*f**4 + 0*f - 1/945*f**7 + 0*f**3 + 55*f**2 + 0 + 1/10*f**5. Solve s(d) = 0 for d.
-1, 0, 14
Suppose 4*y + 106 = -14. Let n = y + 33. Factor 5*p**2 + n*p**3 + p**4 - p**3 + 4*p**2 + 4*p**3 + 4*p.
p*(p + 1)**2*(p + 4)
Let h be 99/189 - -3*9/(-63). Let p(q) be the second derivative of -h*q**4 + 0 - 51*q + 4/7*q**2 + 1/70*q**5 - 1/21*q**3. Suppose p(n) = 0. Calculate n.
-1, 1, 4
Let b(u) be the first derivative of -u**4/102 - 14*u**3/51 - 13*u**2/17 + 26*u + 102. Let q(h) be the first derivative of b(h). Factor q(z).
-2*(z + 1)*(z + 13)/17
Let o = 316728 - 316724. Find f, given that -7/6*f**3 + 4/3*f**o - f**2 + 5/6*f**5 + 0*f + 0 = 0.
-2, -3/5, 0, 1
Factor 8/5*i**3 - 2 + 46/5*i**2 + 28/5*i.
2*(i + 1)*(i + 5)*(4*i - 1)/5
Find z, given that 5/2*z**5 - 5*z**4 + 0 + 0*z + 0*z**2 + 5/2*z**3 = 0.
0, 1
Suppose -5*r + 177 = 4*y, 1 = 5*r - 24. Factor y*v**2 + 48*v - 36 + 21*v**3 + 64*v**2 - 3*v**2 - 6*v**3.
3*(v + 1)*(v + 6)*(5*v - 2)
Factor -40/17*q**2 - 2/17*q**3 + 8 - 94/17*q.
-2*(q - 1)*(q + 4)*(q + 17)/17
Let f be 1445/(-340) + 1078/56 + -13. Factor 12 - 1/2*m**f + 5*m.
-(m - 12)*(m + 2)/2
Let g(z) be the second derivative of -16*z**7/21 - 76*z**6/15 - 457*z**5/40 - 19*z**4/2 - 3*z**3 + 7*z + 2. Solve g(v) = 0 for v.
-2, -3/8, 0
Suppose 4*y + 3*g - 85 = -75, 0 = 3*g + 6. Let t(a) be the third derivative of -a**2 + 0 + 0*a + 1/60*a**5 - 1/12*a**y + 1/6*a**3. Factor t(l).
(l - 1)**2
Let b(j) be the first derivative of 6*j + 45/14*j**2 + 1/7*j**3 - 73. Factor b(d).
3*(d + 1)*(d + 14)/7
Let o(d) be the first derivative of d**8/336 + d**7/56 - d**6/18 - 4*d**3/3 - 2*d + 119. Let g(w) be the third derivative of o(w). Let g(a) = 0. Calculate a.
-4, 0, 1
Let s(i) be the second derivative of i**5/60 + i**4 + 101*i**3/18 + 11*i**2 + 119*i. Let s(l) = 0. What is l?
-33, -2, -1
Suppose 4*r + 23 = 7, 4*d - 3*r = -184. Let o = 52 + d. Factor 8 + 23*u - 2*u**2 - u**3 - u**o - 15*u.
-2*(u - 2)*(u + 1)*(u + 2)
Let n = 1145 + -1722. Let l = -577 - n. Determine m so that -14/23*m**4 + l + 0*m**2 - 8/23*m**5 + 4/23*m**3 + 0*m = 0.
-2, 0, 1/4
Let k = 410 - 406. Let h(f) = -7*f**3 - f**2 + 26*f + 20. Let o(z) = -6*z**3 + 27*z + 21. Let i(j) = k*o(j) - 3*h(j). Solve i(y) = 0 for y.
-2, -1, 4
Let n(p) be the second derivative of -p**6/165 + 7*p**5/22 - 13*p**4/2 + 187*p**3/3 - 242*p**2 - 174*p. Solve n(c) = 0 for c.
2, 11
Suppose 148/3*a - 2/3*a**3 + 176 - 62/3*a**2 = 0. Calculate a.
-33, -2, 4
Let t be (1/(-6))/(((-17)/(-68))/(4/(-40))). Let c(q) be the third derivative of 0*q + t*q**5 - 1/3*q**4 + 2/3*q**3 + 3*q**2 + 0. Factor c(l).
4*(l - 1)**2
Let w(j) = 140*j**2 + 17140*j - 7344495. Let u(b) = 195*b**2 + 25710*b - 11016742. Let f(s) = -5*u(s) + 7*w(s). Solve f(v) = 0.
857
Let b(o) be the first derivative of -29 - 11/10*o**4 + 0*o - 6/25*o**5 + 4/5*o**2 - 16/15*o**3. Find s, given that b(s) = 0.
-2, 0, 1/3
Suppose -82*q - s - 6 = -83*q, 12 = -4*q - 5*s. Let y(d) be the third derivative of 1/4*d**3 + 0*d - 1/40*d**5 - 4*d**q + 0 + 0*d**4. Factor y(w).
-3*(w - 1)*(w + 1)/2
Let w = 1349 + -2466. Let l = -2189/2 - w. Determine v, given that 3*v + l + 1/10*v**2 = 0.
-15
Find c, given that 1457*c + 3*c**2 - 2203*c - 3324*c - c**2 = 0.
0, 2035
Let s(a) = 17*a**2 - 75*a - 386. Let f(k) = -240*k**2 + 1050*k + 5405. Let d(l) = -6*f(l) - 85*s(l). Factor d(t).
-5*(t - 19)*(t + 4)
Let o(j) = -j**2. Suppose 7*v = 11*v - 20. Let t be (-8)/6 + 35/15. Let b(p) = 11*p**2 - 26*p + 8. Let w(x) = t*b(x) + v*o(x). Find s such that w(s) = 0.
1/3, 4
Let j(m) = -10*m**2 + 227*m - 12532. Let h(y) = 3*y**2 - y - 4. Let s(d) = -3*h(d) - j(d). Factor s(b).
(b - 112)**2
Solve -704/7*g + 2/7*g**2 - 1416/7 = 0.
-2, 354
Suppose -2*c - 2920 = 5*s, 2*s + 3*c = s - 597. Let l = -582 - s. Factor -2/5*u + 3/5*u**2 + u**3 + l.
u*(u + 1)*(5*u - 2)/5
Let c(l) = -5*l**2 + 18*l - 84. Let b(r) = 11*r**2 - 35*r + 167. Let m(w) = -4*b(w) - 9*c(w). Let g be m(17). Find o such that 6*o**2 - 15/4*o**3 + 0 + g*o = 0.
-2/5, 0, 2
Let y be -7 + (6 - 10/5 - (-396)/72). Let 1210 - 110*w + y*w**2 = 0. What is w?
22
Let x(m) be the first derivative of -2*m**3/57 + 136*m**2/19 + 274*m/19 + 707. Factor x(t).
-2*(t - 137)*(t + 1)/19
Let i(m) = -56*m**4 - 224*m**3 - 164*m**2 + 8*m - 8. Let g(z) = -z**5 - z**4 + 2*z**3 + z**2 - 2*z + 2. Let x(w) = 4*g(w) + i(w). Determine n so that x(n) = 0.
-10, -4, -1, 0
Factor 190*x**2 + 10*x**3 - 3*x**3 + 5139 - 2080*x - 1062 - 12*x**3 + 2963.
-5*(x - 22)*(x - 8)**2
Let z(a) = -2*a**3 + 83*a**2 + 142*a - 555. Let u be z(43). Factor -1/2*v**5 - 5/2*v**2 + v + 1/2*v**u + 3/2*v**3 + 0.
-v*(v - 1)**3*(v + 2)/2
Let q(v) = -v**3 - 8*v**2 - 4*v - 29. Let s be q(-8). Suppose 5*a - 23 = 77. Let -75*x**4 - 97*x**3 - a*x**3 - 48*x**2 - 3*x**s = 0. Calculate x.
-4/5, 0
Let i be 595/175 - 247/95. Let x = -9 + 12. Factor -8/5 - i*k**2 + 14/5*k - 2/5*k**x.
-2*(k - 1)**2*(k + 4)/5
Let m = 49 + -48. Let x(f) = 2*f. Let b be x(m). Factor 7*y**2 + 5*y**2 - 16*y**b + 4.
-4*(y - 1)*(y + 1)
Let b be 20/(-140)*(-455)/20. Find a such that b - 3*a - 1/4*a**2 = 0.
-13, 1
Let h(p) be the first derivative of p**3 + 1812*p**2 + 1094448*p - 2316. Factor h(b).
3*(b + 604)**2
Factor -103*r**4 + 0*r**3 - 15*r**5 - 6*r**5 + 5*r**5 + r**3 + 118*r**4.
-r**3*(r - 1)*(16*r + 1)
Suppose 5*b + 3*j + 99 - 97 = 0, 4*b + 4*j + 8 = 0. Solve -14/17*i**3 + 0 - 30/17*i**b - 2/17*i**4 - 18/17*i = 0.
-3, -1, 0
Let t(o) be the second derivative of -4/7*o**4 - 2/105*o**6 + 0 - 20/21*o**3 - 6/35*o**5 - 6/7*o**2 - 51*o. Suppose t(h) = 0. Calculate h.
-3, -1
Let w(g) be the second derivative of -1/18*g**3 + 1/180*g**5 - 7/2*g**2 + 0*g**4 - 19*g + 0. Let y(f) be the first derivative of w(f). Factor y(n).
(n - 1)*(n + 1)/3
Let q(g) = -3*g**2 + 60*g - 27. Let a(h) = h**2 - h + 1. Suppose 0 = 45*w - 44*w - 15. Let r(y) = w*a(y) + q(y). Factor r(b).
3*(b + 4)*(4*b - 1)
Let v be 120/12*7/14. Suppose -v*l = -5*t - 30, 8*l - 10*l = 5*t + 16. Factor -4 + 2/3*u**l + 2/3*u.
2*(u - 2)*(u + 3)/3
Let s(i) be the second derivative of -i**6/45 + 2*i**5/15 + i**4/18 - 4*i**3/9 + 1207*i. Solve s(c) = 0 for c.
-1, 0, 1, 4
Let u be (2 - (-320)/(-32)) + -2 + (-76)/(-7). Determine v so that 18/7 + u*v**4 + 96/7*v**2 + 3/7*v**5 - 54/7*v**3 - 69/7*v = 0.
-6, 1
Suppose 3*l = n - 4 - 3, 0 = -n + 5*l + 13. Let r be (-4)/(-8)*n*(-4)/2. Find j, given that -5*j**r + 2 + 0 + 3 + 0*j**2 = 0.
-1, 1
Let k be 18/(-4)*(-44)/66. Factor -28*f**k - 51*f**2 - 44*f**2 - 64