*2. Suppose w(m) = 0. What is m?
-517
Let f = -227393/9 - -25266. Let w(h) be the third derivative of -1/120*h**6 - f*h**3 - 1/90*h**5 + 12*h**2 + 0*h + 7/72*h**4 + 0. Find k, given that w(k) = 0.
-2, 1/3, 1
Let p(f) be the second derivative of -f**5/150 + 2*f**4/15 + 3*f**3/5 + 175*f**2/2 - 243*f. Let w(u) be the first derivative of p(u). Factor w(m).
-2*(m - 9)*(m + 1)/5
Let g(f) be the third derivative of -4 + 0*f - 85/24*f**4 - 4/3*f**5 + 0*f**3 - 5/336*f**8 + 15*f**2 + 3/4*f**6 + 8/21*f**7. Suppose g(o) = 0. What is o?
-1, 0, 1, 17
Let x(g) = g**2 - 2*g - 1. Let z(y) = 5*y**2 - 8*y - 5. Suppose -14*p + 12 = -17*p. Let c(n) = p*x(n) + z(n). Solve c(w) = 0 for w.
-1, 1
Let y(j) = 2*j**3 + 762*j**2 + 6507*j - 7361. Let a(v) = v**3 + 191*v**2 + 1626*v - 1838. Let w(k) = -9*a(k) + 2*y(k). Factor w(n).
-5*(n - 1)*(n + 14)*(n + 26)
Solve 42/5*j**4 + 0*j + 102/5*j**2 + 0 + 3/5*j**5 - 147/5*j**3 = 0 for j.
-17, 0, 1, 2
Let a(s) = 10*s**2 + 911*s + 206113. Let j(b) = -37*b**2 - 3643*b - 824453. Let c(z) = -11*a(z) - 3*j(z). Suppose c(k) = 0. What is k?
-454
Let f(d) be the third derivative of 1/420*d**6 - 1/12*d**4 - 57*d**2 + 0*d**5 - 2/7*d**3 + 0*d + 0. Solve f(g) = 0 for g.
-2, -1, 3
Let b = 1/11417 - -11414/34251. Factor 3 - m**4 + 2*m**3 + 10/3*m**2 - b*m**5 - 7*m.
-(m - 1)**3*(m + 3)**2/3
Let k(n) be the second derivative of -n**5/70 + 81*n**4/7 - 26244*n**3/7 + 4251528*n**2/7 + 679*n. Factor k(d).
-2*(d - 162)**3/7
Let t(z) = -53*z**3 - 6613*z**2 + 16080*z - 5356. Let v(d) = 18*d**3 + 2205*d**2 - 5361*d + 1785. Let h(f) = 3*t(f) + 8*v(f). Factor h(w).
-3*(w - 2)*(w + 149)*(5*w - 2)
Let v(j) be the first derivative of j**6/2 - 24*j**5/5 + 15*j**4/2 + 60*j**3 - 513*j**2/2 + 324*j - 2052. Determine b so that v(b) = 0.
-3, 1, 3, 4
Let p(z) be the first derivative of z**5/25 + z**4/10 - 64*z**3/15 - 29*z**2 - 45*z - 802. Determine d, given that p(d) = 0.
-5, -1, 9
Let l(f) be the third derivative of -27*f**5/5 + 163*f**4/12 - f**3/3 + 15*f**2 + 196*f. Let l(r) = 0. Calculate r.
1/162, 1
Let u(x) be the first derivative of -25/2*x**3 + 0*x - 9*x**6 + 0*x**2 + 105/8*x**4 + 39 + 36/5*x**5. Factor u(v).
-3*v**2*(v + 1)*(6*v - 5)**2/2
Let y(f) be the first derivative of f**4/2 + 86*f**3/3 + 56*f**2 - 20384*f + 1375. Suppose y(g) = 0. Calculate g.
-28, 13
Let -586796 - 675780 - d**2 - 879*d - 1067*d + 315847 = 0. Calculate d.
-973
Let s be (1133/12)/((-14)/(-56)) - 0. Let z = s - 374. Factor 4/3*q**2 - 1 + z*q.
(q + 3)*(4*q - 1)/3
Let r(b) be the second derivative of 0 - b**2 + 70*b - 1/3*b**4 - 5/6*b**3 - 1/20*b**5. Factor r(m).
-(m + 1)**2*(m + 2)
Let b(o) be the third derivative of o**6/210 - 3*o**5/35 + o**4/3 + 16*o**3/7 - 8*o**2 + 9*o. Determine s so that b(s) = 0.
-1, 4, 6
Suppose -11425 + 11493 = 34*m. Find f, given that -32/11 - 20/11*f - 2/11*f**m = 0.
-8, -2
Let f(z) = 45*z**4 - 361*z**3 + 552*z**2 + 75*z. Let s(w) = -3*w**4 + w**3 + w. Let b(y) = f(y) + 5*s(y). Determine o so that b(o) = 0.
-2/15, 0, 2, 10
Determine l, given that 392/3 - 84*l - 1/3*l**3 + 10*l**2 = 0.
2, 14
Let l be 0*((-6)/(-16))/(38/((-4408)/87)). Find c, given that -8/5*c + l + 1/5*c**2 = 0.
0, 8
Suppose -374*i - 3211*i + 13684 = -164*i. Factor 4/5 + q - 1/5*q**i - 3/5*q**2 - q**3.
-(q - 1)*(q + 1)**2*(q + 4)/5
Let a(i) be the second derivative of -1/3*i**4 + 0*i**6 + 0*i**3 + 3/10*i**5 + 17*i - 1/21*i**7 + 0 + 0*i**2. Factor a(s).
-2*s**2*(s - 1)**2*(s + 2)
Let j = 12089 + -60444/5. Let a(r) be the first derivative of -1/5*r**2 + 0*r + 1/20*r**4 + 1/30*r**6 + 2 + 3/25*r**5 - j*r**3. Factor a(z).
z*(z - 1)*(z + 1)**2*(z + 2)/5
Let f = 4775/6 + -47749/60. Let y(n) be the second derivative of -1/4*n**2 - 1/180*n**6 - 10*n + f*n**5 - 1/18*n**3 + 1/18*n**4 + 0. Factor y(s).
-(s - 3)*(s - 1)*(s + 1)**2/6
Let l be -5*(-2)/35*123/82*455/390. Solve l*v**2 + 0 + 0*v + 1/6*v**5 + 7/6*v**3 + 5/6*v**4 = 0.
-3, -1, 0
Let k(l) be the first derivative of 2/15*l**3 - 3/10*l**2 - 26 + 1/5*l. Solve k(c) = 0 for c.
1/2, 1
Let d(p) be the first derivative of -p**3/12 - 41*p**2/8 - 39*p/2 - 772. Let d(r) = 0. Calculate r.
-39, -2
Let b(s) = s**3 + 10*s**2 + 25*s + 14. Let k be b(-6). Solve -k*p - 10*p**2 - 8*p + 2*p**3 + 14*p + 10 = 0.
-1, 1, 5
Solve 92*z**3 - 382*z**2 - 215*z + 68*z**2 - 263*z**2 + 31*z**2 - 42 - 465*z = 0 for z.
-1, -3/46, 7
Factor -532900 - t**4 - 220460*t - 14959*t**2 - 302*t**3 + 2790*t**2 - 12092*t**2.
-(t + 5)**2*(t + 146)**2
Factor -33/2*u**2 - 128 - 144*u - 1/2*u**3.
-(u + 1)*(u + 16)**2/2
Let q(u) = 292*u**4 - 32*u**3 + 4*u**2 + 88*u + 32. Let t(a) = -91*a**4 + 11*a**3 - a**2 - 29*a - 10. Let g(o) = -5*q(o) - 16*t(o). Find k, given that g(k) = 0.
-3, -2, 0, 1
Let m be (-404)/630 - (-90)/315. Let q = m - -109/180. Suppose -1/4*f + 0 + q*f**2 = 0. What is f?
0, 1
Let f = -357 - -359. Let s(w) be the second derivative of 0 + 0*w**3 + 1/30*w**6 + 0*w**f - 1/6*w**4 - 1/20*w**5 + 15*w. Find k such that s(k) = 0.
-1, 0, 2
Let f be 9/(((-4)/8)/((-1)/6)). Suppose 2*c - 3 - 13 = -4*o, 0 = -f*o + 3*c + 12. Suppose 12/7*h**3 - 9/7*h**2 + 12/7 - 3/7*h**o - 12/7*h = 0. What is h?
-1, 1, 2
Let x(m) = -4*m**2 - 4*m + 8. Let q(p) = -4*p**2 - 4*p + 8. Let r = -13 - 2. Let h = r + 10. Let t(g) = h*q(g) + 6*x(g). Factor t(k).
-4*(k - 1)*(k + 2)
Let c(z) be the second derivative of z**6/180 + 11*z**5/120 + z**4/4 - 1089*z - 2. Let c(o) = 0. What is o?
-9, -2, 0
Factor -471 + 313/2*a**2 + 1259/4*a - 1/4*a**3.
-(a - 628)*(a - 1)*(a + 3)/4
Let 222/5*l**2 + 33/5*l**3 + 92*l + 312/5 - 1/5*l**4 = 0. Calculate l.
-2, 39
Let b = -4046 + 12139/3. Let i(y) be the second derivative of 2*y**2 + 0 + 1/5*y**5 - b*y**4 - 2/3*y**3 + 13*y. Let i(a) = 0. Calculate a.
-1, 1
Factor -1/2*y**2 + 65*y - 129/2.
-(y - 129)*(y - 1)/2
Factor -1367*j**2 + 10002*j + 8336667 - 1393*j**2 + 2763*j**2.
3*(j + 1667)**2
Let x(i) be the first derivative of i**5/20 + 7*i**4 + 55*i**3/2 + 4*i**2 + 8*i - 317. Let g(y) be the second derivative of x(y). Factor g(d).
3*(d + 1)*(d + 55)
Let q(o) = -33*o - 557. Let a be q(-17). Let k be 3 + (42/a)/(-7). Determine x, given that k*x + 5/2*x**3 - 3/4*x**4 - 3*x**2 - 1/4 = 0.
1/3, 1
Let u(m) be the first derivative of -7*m**4/4 - 38*m**3 - 184*m**2 - 96*m + 1226. Solve u(a) = 0.
-12, -4, -2/7
Let z be (9/15)/((-15)/(-50)). Solve 12 - 2*l**z - 54*l + 125*l - 69*l = 0.
-2, 3
Let u = 1264 + -1270. Let c be 15 - 15 - 2 - (u - 0). Factor -c*t - 12 - 1/3*t**2.
-(t + 6)**2/3
Let t(n) be the first derivative of n**6/135 + 2*n**5/5 + 23*n**4/18 + 34*n**3/27 + 124*n + 216. Let h(s) be the first derivative of t(s). Factor h(m).
2*m*(m + 1)**2*(m + 34)/9
Let b(v) = 8*v - 26. Let u be b(4). Let 5435*t**2 + 2 + u*t - 5442*t**2 - t = 0. Calculate t.
-2/7, 1
Let a(j) be the first derivative of -j**5/110 + 3*j**4/11 - 32*j**3/11 + 128*j**2/11 + 255*j + 243. Let z(g) be the first derivative of a(g). Factor z(h).
-2*(h - 8)**2*(h - 2)/11
Let z(m) = 38*m**2 + 1078*m + 2166. Let n(t) = -32*t**2 - 1079*t - 2165. Let h(x) = -6*n(x) - 5*z(x). Find w, given that h(w) = 0.
-540, -2
Let k(u) be the second derivative of u**6/300 + 13*u**5/50 + 81*u**4/20 + 73*u**3/3 + 205*u**2/4 - 4690*u. Factor k(a).
(a + 1)*(a + 5)**2*(a + 41)/10
Let j(l) be the second derivative of l**7/189 + 2*l**6/135 - l**5/10 - l**4/27 + 8*l**3/27 + l - 602. Solve j(a) = 0.
-4, -1, 0, 1, 2
Let c be (-12586)/11687*(-10)/14. Determine i, given that -8/13*i**3 + 0 + 2/13*i**4 - 4/13*i + c*i**2 = 0.
0, 1, 2
Factor 4*j**3 + 82 - 221 + 47 - 48*j**2 - 60*j + 90 + 106.
4*(j - 13)*(j - 1)*(j + 2)
Suppose 435 = -9*f + 435. Let a(n) be the third derivative of 5/2*n**4 + 4/3*n**3 - n**2 + 7/40*n**6 + 61/30*n**5 + 0*n - 7/30*n**7 + f. Factor a(w).
-(w - 2)*(w + 1)*(7*w + 2)**2
Factor -917*k**4 + 288*k**2 + 233*k**4 + 40*k + 236*k**4 + 186*k**3 + 233*k**4 + 241*k**4.
2*k*(k + 2)*(k + 5)*(13*k + 2)
Let a(c) be the second derivative of c**4/24 - 49*c**3/6 + 801*c**2/4 + c + 2407. Factor a(n).
(n - 89)*(n - 9)/2
Let g(p) be the first derivative of 7*p**3/15 + 223*p**2/10 + 186*p/5 - 5599. Factor g(f).
(f + 31)*(7*f + 6)/5
Factor -6*w**2 - 32*w + 1031*w**3 - 24 + 1019*w**3 - 2048*w**3.
2*(w - 6)*(w + 1)*(w + 2)
Let d = -2/508383 - -176917298/3558681. Find x, given that 3264/7*x**4 - 3531/7*x**3 + 762/7*x**2 + 24/7 + d*x - 867/7*x**5 = 0.
-2/17, 1, 2