 + 26. Factor -8/9 + 2/9*a + 1/9*a**w.
(a - 2)*(a + 4)/9
Let w(u) be the second derivative of 31*u**5/130 + 125*u**4/78 + 4*u**3/39 + 5142*u. Let w(x) = 0. Calculate x.
-4, -1/31, 0
Let y(i) be the third derivative of -2/21*i**3 - 1/84*i**4 - 2*i**2 - 2*i + 1/210*i**5 + 0. Factor y(r).
2*(r - 2)*(r + 1)/7
Suppose 3 = 38651*s - 38677*s + 3. Suppose s - 4/5*q**4 - 16/15*q**2 + 0*q + 2/15*q**5 + 8/5*q**3 = 0. Calculate q.
0, 2
Let f(a) = 56*a - 165. Let g be f(3). Let z(c) be the third derivative of 1/180*c**6 + 0 + 14*c**2 + 0*c**g + 0*c + 0*c**4 + 0*c**5 - 1/945*c**7. Factor z(s).
-2*s**3*(s - 3)/9
Let f(i) be the second derivative of i**4/9 + 146*i**3/3 - 440*i**2/3 - 846*i. Suppose f(v) = 0. Calculate v.
-220, 1
Let a(r) be the first derivative of 3*r**4/28 - 73*r**3/7 + 318*r**2/7 - 60*r + 213. Let a(y) = 0. What is y?
1, 2, 70
Suppose 4*i = 6*x - 5*x - 25, 0 = -2*x + 2*i + 80. Let t = -33 + x. Let -8*o**2 - 9 + t*o**2 - 3*o**2 = 0. What is o?
-3, 3
Determine k so that 308/5 - 2/15*k**2 + 302/15*k = 0.
-3, 154
Solve -447458/5 - 2/5*o**2 + 1892/5*o = 0.
473
Let x(n) = -n**3 + 6*n**2 - 6*n - 6. Let b be x(4). Suppose 3*q = r + 7, 0*q + b*q = r + 4. Factor -2 + 1 + 0 + q + 6*v + 4*v**2.
2*(v + 1)*(2*v + 1)
Determine d so that 18/7*d**2 + 60/7 - 18/7*d**3 + 2/7*d**4 + 14*d = 0.
-1, 5, 6
Let i(q) be the first derivative of 2000/9*q + 20/9*q**3 - 1/18*q**4 - 46 - 100/3*q**2. Solve i(l) = 0.
10
Let j be -76*((-210)/(-40) - 10). Let h = j - 359. What is m in -3/2*m + 1/12*m**h + 27/4 = 0?
9
Suppose -6 = -5*m + 14. Suppose -m*f = -2*x + 3*x - 19, 0 = -2*x + 3*f - 6. Factor -18 + 6*t**4 - 15*t**2 + 42*t + 3*t**2 - 4*t**3 - 8*t**2 - 8*t**x + 2*t**5.
2*(t - 1)**3*(t + 3)**2
Let d(j) be the second derivative of 0*j**2 - 5*j**3 + 13 + 1/6*j**4 - j. Factor d(s).
2*s*(s - 15)
Let j(u) be the second derivative of -u**5/30 - 49*u**4/18 + 101*u**3/9 - 17*u**2 - 1202*u. Determine x, given that j(x) = 0.
-51, 1
Let v(k) = -k + 195. Let s be v(15). Suppose -3*l = -21*l + s. Let -l*j + 11/2*j**2 - 9/2*j**5 + 2 + 41/2*j**3 - 3/2*j**4 = 0. What is j?
-2, -1, 1/3, 2
Let v(x) be the first derivative of 4*x**3/5 - 7173*x**2/10 - 1794*x/5 + 1116. Factor v(o).
3*(o - 598)*(4*o + 1)/5
Let y = 7818 + -7791. Let 1/3*z**2 + 6*z + y = 0. Calculate z.
-9
Let o(d) be the first derivative of -d**5/10 + 13*d**4/12 + 7*d**3/6 - 172*d - 302. Let u(b) be the first derivative of o(b). Factor u(t).
-t*(t - 7)*(2*t + 1)
Let f(n) be the first derivative of -1/15*n**5 + 11/12*n**4 + 0*n - 8/3*n**3 - 6*n**2 + 148. Factor f(g).
-g*(g - 6)**2*(g + 1)/3
Suppose -619*n = -580*n - 156. Let 6/11*k**5 - 42/11*k**3 + 108/11*k + 0 - 90/11*k**2 + 18/11*k**n = 0. Calculate k.
-3, 0, 1, 2
Let o = -4444/171 - -63586/2223. Find x, given that 2/13*x**4 - 12/13 + o*x + 6/13*x**3 - 30/13*x**2 = 0.
-6, 1
Let d(h) be the first derivative of 3*h**5/25 - 3*h**4/2 - 39*h**3/5 - 6*h**2/5 + 156*h/5 + 2052. Suppose d(n) = 0. Calculate n.
-2, 1, 13
Let y(s) be the first derivative of 5*s**4/4 - 5*s**3 - 1485*s**2/2 - 8505*s - 12928. Factor y(g).
5*(g - 21)*(g + 9)**2
Let p be 3/18 + 4964/(-408) + 15. Factor -q**2 + 0*q + 0 - 9/4*q**4 - p*q**3.
-q**2*(3*q + 2)**2/4
Suppose 1093 = 43*g - 2605. Suppose 0 = -83*h + g*h - 6. Find i, given that -8/5 + 14/5*i + 17/5*i**h - i**3 = 0.
-1, 2/5, 4
Let s be -22*377/(-3828) - 4/(-6)*2. Let h(d) be the first derivative of 5*d - s*d**2 - 1/4*d**3 + 15. What is y in h(y) = 0?
-10, 2/3
Let y(l) be the third derivative of -2/315*l**7 - 67/180*l**5 + 29/360*l**6 + 64*l**2 - 1/2*l**3 + 0*l + 17/24*l**4 - 2. Find f, given that y(f) = 0.
1/4, 1, 3
Let d(x) be the first derivative of -6561*x**4 + 8316*x**3 + 640*x**2 + 16*x - 604. What is i in d(i) = 0?
-2/81, 1
Suppose 7 = -4*k + 5*k. Suppose 7*n - 35 = k. Factor -3 + 6*p**2 - 17*p**2 + n*p + 8*p**2.
-3*(p - 1)**2
Let f(x) be the second derivative of 0*x**2 - 53*x - 1/273*x**7 - 5/78*x**4 + 1/195*x**6 + 2/39*x**3 + 0 + 3/130*x**5. Factor f(q).
-2*q*(q - 1)**3*(q + 2)/13
Find p such that -3*p**2 - 9462528 + 674*p - 10457*p - 873*p = 0.
-1776
Let t(g) be the first derivative of g**5/10 - 3*g**4/4 + g**3/2 + 2*g**2 - 10*g - 11. Let z(j) be the first derivative of t(j). Suppose z(h) = 0. What is h?
-1/2, 1, 4
Let d(s) be the third derivative of -4*s**7/735 + 31*s**6/84 + 493*s**5/70 + 842*s**4/21 + 752*s**3/21 + 7976*s**2. Suppose d(z) = 0. Calculate z.
-4, -1/4, 47
Let t be (-15)/3 + 1 + (110 - 2). Suppose 0 = -11*x - t + 148. Find u, given that -36/7*u**3 - 78/7*u**2 - 72/7*u - 24/7 - 6/7*u**x = 0.
-2, -1
Let u(b) be the second derivative of -b**6/40 - 37*b**5/80 - 5*b**4/2 - 3*b**3/2 + b + 124. Solve u(o) = 0 for o.
-6, -1/3, 0
Let a(l) be the third derivative of -l**6/780 - l**5/26 + 7*l**4/26 + 136*l**3/39 - 1006*l**2. What is t in a(t) = 0?
-17, -2, 4
Let a(i) = 129*i**3 + 2 + i**2 - 120*i**3 - 7*i**4 - 16*i + 11. Let v(m) = -m**4 + m**3 - m**2 + 1. Let l(d) = 2*a(d) - 10*v(d). Factor l(n).
-4*(n - 2)*(n - 1)**2*(n + 2)
Let n(y) be the third derivative of -y**5/240 - 119*y**4/48 - 79*y**3/8 - 25*y**2. Let n(d) = 0. Calculate d.
-237, -1
Let m(d) be the second derivative of 2*d**2 + 1 - 144*d + 1/54*d**4 - 19/27*d**3. Let m(n) = 0. Calculate n.
1, 18
Let y(j) be the third derivative of j**5/20 - 3*j**4 + 23*j**3/2 + 2*j**2 - 16. Factor y(m).
3*(m - 23)*(m - 1)
Let h(i) be the first derivative of i**4/30 - 2*i**3/5 - 27*i - 45. Let u(v) be the first derivative of h(v). Find s such that u(s) = 0.
0, 6
Let w(d) = d**2 + 32*d + 251. Suppose 6*v - 100 = -4*v. Let l(m) = -1. Let x(k) = v*l(k) - 2*w(k). Find h, given that x(h) = 0.
-16
Let h = 1458 - 5829/4. Factor 27/4*v + 0 - h*v**2.
-3*v*(v - 9)/4
Let g(j) be the third derivative of 7*j**6/360 + 43*j**5/90 - 67*j**4/72 - 13*j**3/9 - 376*j**2 + 2. Factor g(h).
(h - 1)*(h + 13)*(7*h + 2)/3
Let 59 + 49*q**3 - 77*q**3 - 60*q**2 + q**4 - 75*q**3 + 58*q + 45*q**3 = 0. What is q?
-1, 1, 59
Let o(h) = h**3 + 3*h**2 - h. Let f(n) = -2*n**3 + 342*n**2 - 7058*n. Let k(c) = -f(c) + 2*o(c). Factor k(p).
4*p*(p - 42)**2
What is l in 4/7*l**2 - 180/7 - 16/7*l**4 - 1/7*l**5 + 37*l - 66/7*l**3 = 0?
-9, -5, -4, 1
Let h(g) = -4230*g**2 - 4435*g - 30. Let t(z) = 470*z**2 + 493*z + 3. Let d(o) = -4*h(o) - 35*t(o). Factor d(r).
5*(r + 1)*(94*r + 3)
Let d be (-7)/14*-10 - (2 - -1). What is p in 0*p**2 - 5 - p**2 + 18*p + 5*p**d + 1 - 18*p**3 = 0?
-1, 2/9, 1
Suppose -11*a + 5721 + 516 = 0. Let w = a + -1696/3. Find b such that -w*b**2 - 40/3 - 10*b = 0.
-4, -2
Suppose -1211 = 4*o + 5*i, -5*o + 7*o - 4*i + 612 = 0. Let x = 304 + o. Solve 3/8*b**2 + x*b - 3/8*b**4 + 0 + 0*b**3 = 0 for b.
-1, 0, 1
Suppose -67*p**2 + 9550*p - 67*p**2 - 49*p**2 + 188*p**2 + 4560125 = 0. Calculate p.
-955
Let m be ((-15 + 15)/(-11))/(-7). Factor m - 1/3*w**3 + 2*w**2 - 4/3*w - 1/2*w**4 + 1/6*w**5.
w*(w - 2)**2*(w - 1)*(w + 2)/6
Let y(k) be the second derivative of -k**6/6 - k**5/20 + 4*k**4/15 - 2*k**3/15 + 1300*k. Find l, given that y(l) = 0.
-1, 0, 2/5
Let l(v) = -v**3 - 2*v**2 - v - 1. Let m(r) = -3*r**3 - 4*r**2 - 2*r - 2. Let i = 212 + -217. Let j(x) = i*m(x) + 10*l(x). What is o in j(o) = 0?
0
Suppose 71*p + 37*p = 137*p. Let f(b) = 2*b - 5. Let u be f(4). Suppose -2*o**2 + 0 + p*o - 1/2*o**u = 0. What is o?
-4, 0
Let o = 3715/33111 - 4/3679. Let h(i) be the first derivative of -o*i**4 + 2/45*i**5 - 2/9*i + 0*i**3 + 2/9*i**2 + 25. Factor h(q).
2*(q - 1)**3*(q + 1)/9
Suppose -63*h - 62 + 1385 = 0. Factor 147*o - o**2 - 464 - 7105 + 6*o + h*o.
-(o - 87)**2
Let p(n) be the first derivative of -n**5/15 - 53*n**4/12 - 101*n**3/9 + 53*n**2/6 + 34*n + 153. What is z in p(z) = 0?
-51, -2, -1, 1
Let n(w) be the second derivative of 5*w**7/42 - 2*w**6/3 - 23*w**5/4 + 5*w**4/6 + 190*w**3/3 + 140*w**2 + 276*w. Find v, given that n(v) = 0.
-2, -1, 2, 7
Let q(n) be the first derivative of 3*n**5/35 + 45*n**4/28 + 61*n**3/7 - 45*n**2/14 - 150*n - 6346. Let q(z) = 0. Calculate z.
-7, -5, 2
Let w(t) = 80*t**2 - 12120*t + 2661256. Let a(h) = 11*h**2 - 1732*h + 380180. Let r(i) = 44*a(i) - 6*w(i). Factor r(z).
4*(z - 436)**2
Let g(y) be the first derivative of y**2 - 20*y + 1. Let l be g(14). Determine a so that 87*a**3 - 6*a**2 + 26*a**2 - 91*a**3 + 4*a - 12*a**4 - l = 0.
-1, 2/3, 1
Let r(s) = 2*s**4 + 2*s**3 - 7*s**2 - 2*s + 5. Let a(b) = b