c(z) be the second derivative of 9*z**5/5 + 88*z**4/3 - 238*z**3/3 + 44*z**2 - z + 68. Determine m, given that c(m) = 0.
-11, 2/9, 1
Let s = 78 + -64. Suppose 9*v = s*v - 10. What is f in f**v + 15 - 2*f + 35*f + 20*f**2 + 3*f**3 = 0?
-5, -1
Let v(o) be the first derivative of 11/4*o**2 - 47 - 13/24*o**4 + 1/10*o**5 - 1/18*o**3 + 3*o. Solve v(q) = 0.
-1, -2/3, 3
Let m(k) be the second derivative of -306*k**7/7 + 134*k**6/5 + 91*k**5 - 205*k**4/3 + 8*k**3/3 + 8*k**2 - 533*k. What is q in m(q) = 0?
-1, -2/17, 2/9, 1/3, 1
Let c(f) = 7*f**2 - 267*f - 272. Let j(s) = -s**2 + s + 1. Let m(t) = c(t) + 2*j(t). Factor m(u).
5*(u - 54)*(u + 1)
Let w(n) be the third derivative of n**6/150 - 17*n**5/75 + 44*n**4/15 - 96*n**3/5 + 7*n**2 + n + 123. Let w(u) = 0. Calculate u.
4, 9
Let r(w) be the second derivative of -1/126*w**4 - 14*w - 2 - 8/21*w**2 - 2/21*w**3. Let r(j) = 0. What is j?
-4, -2
Let q(w) be the third derivative of w**6/1080 - 223*w**5/540 + 443*w**4/216 - 221*w**3/54 - 24*w**2 + 17. Determine i, given that q(i) = 0.
1, 221
Let i(p) be the third derivative of -p**8/840 + 2*p**7/105 - p**6/10 + 9*p**4/4 + 35*p**3/2 - 20*p**2. Let b(n) be the first derivative of i(n). Factor b(j).
-2*(j - 3)**3*(j + 1)
Factor -17/5*j + 1/5*j**2 + 6.
(j - 15)*(j - 2)/5
Let p(s) be the second derivative of -s**7/336 + s**6/120 + 3*s**5/16 - 23*s**4/24 + 91*s**3/48 - 15*s**2/8 + 4343*s. Factor p(a).
-(a - 5)*(a - 1)**3*(a + 6)/8
Suppose -380*k + 1 - 1 + 2 = 2. Find d, given that 12/5*d**3 + k*d + 0*d**2 + 0 - 3/5*d**4 = 0.
0, 4
Let n(w) = -3*w**2 + 64*w + 10*w**2 - 86*w - 13. Let p(h) = -48*h**2 + 153*h + 93. Let l(d) = 27*n(d) + 4*p(d). Factor l(r).
-3*(r - 7)*(r + 1)
Let z(c) be the second derivative of -4/3*c**3 - 45*c + 0 + 3/5*c**5 + 0*c**2 + 23/6*c**4. Factor z(g).
2*g*(g + 4)*(6*g - 1)
Factor -232/5 - 2/5*u**2 - 66/5*u.
-2*(u + 4)*(u + 29)/5
Let n(b) be the first derivative of 0*b**4 - 1/30*b**5 - 7 + 1/3*b**3 + 19*b + 2/3*b**2. Let a(s) be the first derivative of n(s). What is f in a(f) = 0?
-1, 2
Let r(h) be the second derivative of 86*h + 48*h**2 + 1/6*h**4 + 16/3*h**3 - 1. Factor r(j).
2*(j + 4)*(j + 12)
Find k, given that -2*k**3 + 656*k**2 - 1305*k**2 + 16*k + 653*k**2 - 2 + 2 = 0.
-2, 0, 4
Let t be 7 + (-212)/216 + -2*4 - -2. Let z(h) be the second derivative of 1/3*h**2 + 0 - 33*h - 1/108*h**4 - t*h**3. Factor z(f).
-(f - 2)*(f + 3)/9
Let p(v) be the second derivative of v**8/560 - v**7/280 - v**6/60 - v**3/6 + 5*v**2/2 - 29*v. Let l(s) be the second derivative of p(s). Factor l(b).
3*b**2*(b - 2)*(b + 1)
Find w such that 24*w**2 - 10*w**3 - 5*w**3 + 16*w**3 + 10*w**2 = 0.
-34, 0
Let d be (-2)/9 - (-374)/(-18). Let l be d/(-9) - 12/9. Find z, given that -1 - z**4 + 14*z**2 + z + l - z**3 - 13*z**2 = 0.
-1, 0, 1
Let -8*o + 27*o + 20 + 8*o**3 - 2*o**2 - 27*o**3 + 12*o**3 + 6*o**3 = 0. Calculate o.
-5, -1, 4
Let h(b) = b**3 + 9*b**2 - 4*b + 4. Let j be h(-9). Suppose -v - 2*v - 35 = -4*x, 5*v + j = 3*x. What is u in -u**4 - 2*u**3 + 45*u**x + 5*u**4 - 47*u**5 = 0?
0, 1
Suppose -346 + 1864 = -33*w. Let i = w + 146/3. Factor 4*u**2 + 0*u**3 + 0 - 4/3*u**4 + i*u.
-4*u*(u - 2)*(u + 1)**2/3
Let n(a) = 24*a**2 - 316*a + 307. Let l(q) = 29*q**2 - 317*q + 306. Let x(v) = 5*l(v) - 6*n(v). Factor x(u).
(u - 1)*(u + 312)
Suppose -101 = 8*b + 99. Let z be -1*(5/b - 24/5). Factor -8*m**4 + 3*m**z - 9*m**4 - m**2 + 18*m**4 - 3*m**3.
m**2*(m - 1)*(m + 1)*(3*m + 1)
Let h(z) be the third derivative of z**7/840 + 139*z**6/480 - 115*z**5/48 - 137*z**4/32 + 429*z**3/4 - 47*z**2 - 13*z. Let h(w) = 0. Calculate w.
-143, -2, 3
Let o(k) be the second derivative of -k**6/1260 + 13*k**5/630 - 5*k**4/36 - 7*k**3/9 - 22*k**2 + k + 14. Let w(m) be the first derivative of o(m). Factor w(z).
-2*(z - 7)**2*(z + 1)/21
Let w(j) be the first derivative of -j**5/30 - 5*j**4/6 - 25*j**3/3 - 43*j**2 + 148. Let s(z) be the second derivative of w(z). Let s(c) = 0. Calculate c.
-5
Let o(c) = -15*c**2 - 39*c + 300. Let x(n) = 560*n**2 + 1445*n - 11100. Let r(u) = 75*o(u) + 2*x(u). Factor r(i).
-5*(i - 5)*(i + 12)
Let f(j) be the third derivative of j**6/60 - 33*j**5/20 + 2*j**4 + 49*j**3/6 - 18*j**2 + 19*j. Factor f(m).
(m - 49)*(m - 1)*(2*m + 1)
Suppose 190*p = 189*p + 34. Factor 3507 + 20*v**2 + 174*v - 3427 + p*v.
4*(v + 10)*(5*v + 2)
Let y(o) be the third derivative of o**8/210 + o**7/42 + o**6/90 - o**5/15 - 59*o**3/3 - 2*o**2 - 6*o. Let u(p) be the first derivative of y(p). Factor u(s).
4*s*(s + 1)*(s + 2)*(2*s - 1)
Let 78/5 - 1/5*t**3 + 76/5*t**2 + 31*t = 0. What is t?
-1, 78
Let l(w) be the third derivative of -w**6/40 + 11*w**5/120 + w**4/2 - 11*w**3/3 + 4*w**2 - 170. Factor l(n).
-(n - 2)*(n + 2)*(6*n - 11)/2
Suppose 5*a - 395 = -x, 0 = -2*a - 3*a - 4*x + 380. Suppose 18*z**3 + 63*z - 68*z**2 - 54*z**3 - 15*z + a = 0. What is z?
-2, -1, 10/9
Let z(n) be the first derivative of -4*n**3/3 + 90*n**2 - 800*n - 161. Suppose z(p) = 0. What is p?
5, 40
Let y(q) be the third derivative of -q**8/1176 - 29*q**7/147 + 73*q**6/210 - 1651*q**2. Factor y(n).
-2*n**3*(n - 1)*(n + 146)/7
Let b be (-11)/2 + 744/48. Let k(f) be the first derivative of 2/15*f**3 + b*f + 6 - 2*f**2. Factor k(a).
2*(a - 5)**2/5
Let i(k) = 11*k**2 + 786*k + 755. Let l(u) = 16*u**2 + 1179*u + 1135. Let t(d) = 7*i(d) - 5*l(d). Factor t(w).
-3*(w + 1)*(w + 130)
Find x such that 31*x - 2*x**2 - 26*x - 53*x - 59 - 229 = 0.
-12
Let h(n) be the third derivative of n**8/1680 + 11*n**7/1050 + 13*n**6/200 + 3*n**5/20 - 988*n**2 - 2. Factor h(l).
l**2*(l + 3)**2*(l + 5)/5
Let k = 15 + -27. Let n be (-4)/k + 52/6. Determine l, given that -n*l + 29 - 15*l**2 - 3*l**3 - 2 + 0*l**3 = 0.
-3, 1
Let o be 28/168*18/1. Let m(f) be the first derivative of -9 - 12/11*f + o*f**2 - 18/11*f**3. Factor m(j).
-6*(j - 1)*(9*j - 2)/11
Let h(l) be the third derivative of -l**5/120 + 19*l**4/48 - 17*l**3/6 - 4*l**2 - 48*l. Solve h(d) = 0 for d.
2, 17
Suppose 4*x + x = 10. Solve -3*h**3 + 62 + 61 + 12*h**x + 197 + 176*h - h**4 - 4*h**3 = 0.
-4, 5
Let u = -7627/30 + 33359/60. Determine h so that 172*h + 4913/4*h**5 + 16 - u*h**3 + 475*h**2 - 3179/2*h**4 = 0.
-4/17, 1
Suppose 18 - 70 = -26*j. Suppose -2*l = 2*q - 14, 4*q - 6*q + 20 = 4*l. Let -14/19*y**l - 16/19 - 60/19*y**j - 72/19*y = 0. Calculate y.
-2, -2/7
Let p(h) be the second derivative of h**5/40 + 9*h**4 + 972*h**3 - 6*h + 746. Solve p(t) = 0.
-108, 0
Let h(y) = 15*y**3 + 65*y**2 - 1714*y + 6027. Let n(q) = -8*q**3 - 32*q**2 + 856*q - 3012. Let s(w) = 4*h(w) + 7*n(w). Factor s(v).
4*(v - 6)**2*(v + 21)
Let r = -50/23 - -242/69. Let m(g) be the third derivative of 0 + 0*g + 1/30*g**5 - r*g**3 + 1/120*g**6 - 1/6*g**4 + 25*g**2. Factor m(n).
(n - 2)*(n + 2)**2
Let x be (-60)/80*336/(-126). Solve 5/2*s**3 - 10*s + 27/2*s**x - 6 = 0.
-6, -2/5, 1
Let v be ((-242)/22 - -6) + 489/96. Let d(r) be the third derivative of 0 + v*r**4 + 14*r**2 + 1/240*r**5 - 5/12*r**3 + 0*r. Factor d(w).
(w - 1)*(w + 10)/4
Let x(q) be the second derivative of 125*q - 1/210*q**7 - 7/150*q**6 + 0*q**2 + 0*q**4 + 0*q**5 + 0*q**3 + 0. Factor x(f).
-f**4*(f + 7)/5
Suppose 8154713*p + 222 + 3*p**3 + 6076339*p - 138 + 13068*p**2 - 84 = 0. What is p?
-2178, 0
Let p(i) = -i**2 - i. Let r(o) = -2*o**2 - 5*o - 38. Let n(k) = -3*p(k) + r(k). Let l be n(-6). Factor -3 - l*y**2 - 6*y + 4 - 4*y**3 - 1.
-2*y*(y + 1)*(2*y + 3)
Let t = 69946 - 139767/2. Factor 585/2*m**2 - 297/2*m + t*m**4 - 475/2*m**3 + 27.
(m - 2)*(5*m - 3)**3/2
Let m(k) be the first derivative of -k**6/2 + 291*k**5/5 - 3741*k**4/2 + 6910*k**3 - 20163*k**2/2 + 6627*k - 190. Factor m(o).
-3*(o - 47)**2*(o - 1)**3
Let y(l) be the first derivative of l**3/3 - 85*l**2 + 501*l - 8501. Solve y(g) = 0.
3, 167
Let b(s) be the first derivative of -s**4/2 - 56*s**3/3 - 27*s**2 - 510. Factor b(w).
-2*w*(w + 1)*(w + 27)
Let t be 21/4 + 4/(-16). Let x = 1096 + -1094. What is i in -t*i**2 + 8*i - i**2 + 10*i**x = 0?
-2, 0
Let c(x) = -10*x + 3. Let q be c(0). Factor -9*t**3 - 6*t**3 + t**2 + 8*t + 3*t**q + 4*t**5 + 3*t**2 - 4*t**4.
4*t*(t - 2)*(t - 1)*(t + 1)**2
Let y(p) be the third derivative of p**8/168 + 16*p**7/105 + 21*p**6/20 - p**2 + 782*p. Suppose y(w) = 0. What is w?
-9, -7, 0
Determine f so that -8*f**2 + 291*f**3 - 413*f + 504*f**4 - 1283*f**3 + 547206 - 547702 + 1409*f 