 the third derivative of 0*g**4 + 1/40*g**5 + 0*g**3 + 1/360*g**6 - 17*g**2 + 0*g + 0. Suppose y(l) = 0. Calculate l.
-9/2, 0
Let f(w) be the third derivative of w**7/2520 - w**6/360 - w**5/40 + 37*w**4/4 - 147*w**2. Let m(i) be the second derivative of f(i). Let m(p) = 0. Calculate p.
-1, 3
Let q(i) = -i**2 + 8*i + 13. Let p be q(9). Factor 2*m + 68*m**2 + 2*m + p*m**3 - 147*m**2 + 71*m**2.
4*m*(m - 1)**2
Let d(l) be the first derivative of -1/4*l**4 - 1/2*l**2 + 0*l + 92 - 2/3*l**3. Let d(g) = 0. What is g?
-1, 0
Let v(g) = 3*g**2 - g. Let x be v(1). Suppose x*y - y + 4*b + 20 = 0, -4*b = 20. Factor f**2 + 0*f**3 + y - 3/4*f**4 + 1/4*f**5 + 0*f.
f**2*(f - 2)**2*(f + 1)/4
Let v(x) be the first derivative of -5*x**4/12 + 5*x**3/2 + 25*x**2 - 36*x + 45. Let y(i) be the first derivative of v(i). Find z, given that y(z) = 0.
-2, 5
Let y(k) be the first derivative of -19/4*k**2 - 7*k + 38 - 5/6*k**3. What is c in y(c) = 0?
-14/5, -1
Suppose 140*s = 137 + 143. Factor 363 + 1/3*r**s + 22*r.
(r + 33)**2/3
Suppose 0 = -s - 2*u - 5, 5*u + 32 = 3*s + s. Suppose 0 = -s*r + 6 - 0. Factor -50 + 49*w**2 - 120*w - 114*w**r - 2*w**4 - 24*w**3 - 27*w**2.
-2*(w + 1)**2*(w + 5)**2
Let h be 255/(-34)*2/(-5). Factor 21*w + 39 + 6 - h*w**2 + 87.
-3*(w - 11)*(w + 4)
Let k(d) be the third derivative of 2/5*d**3 - 1/350*d**7 - 1 - 3/100*d**5 + 1/8*d**4 + 0*d - 1/40*d**6 + 9*d**2. Find p such that k(p) = 0.
-4, -1, 1
Let g(k) = 4*k**2 - 65*k + 64. Let r(f) = -4*f**2 + 66*f - 64. Suppose 13*w - 6 = 11*w. Let n(o) = w*r(o) + 2*g(o). Find x such that n(x) = 0.
1, 16
Factor 1974*i**2 + 616*i**3 + 339*i**4 - 201405*i + 3*i**5 + 202716*i + 327 + 710*i**3.
3*(i + 1)**4*(i + 109)
Let m be (-10291)/410 - 2/5. Let x = m + 365/14. Determine y, given that -4/7*y + 1/7*y**2 + x = 0.
2
Let z(r) be the first derivative of 2*r**6/3 + 12*r**5 + 58*r**4 + 112*r**3 + 80*r**2 - 4462. Let z(t) = 0. Calculate t.
-10, -2, -1, 0
Let s(m) be the first derivative of 160/9*m**2 + 104/27*m**3 - 45 - 10/3*m**4 + 128/9*m + 2/5*m**5. Factor s(t).
2*(t - 4)**2*(3*t + 2)**2/9
Let u(a) be the second derivative of -a**5/30 + a**4/4 - 2*a**3/3 - 105*a**2/2 + 147*a. Let p(c) be the first derivative of u(c). Suppose p(w) = 0. Calculate w.
1, 2
Suppose -5*b - 3*n = -189, -b + 4*n = n - 27. Let c = b + -33. Let -9 - 3*r**c - 3 + 3*r**5 + 12 = 0. Calculate r.
-1, 0, 1
Let u(f) = 23*f**2 + 1727*f + 153. Let y be u(-75). Let a(b) be the second derivative of -1/60*b**4 + 2/5*b**2 + 0 + 0*b**y + 20*b. Solve a(c) = 0.
-2, 2
Let k(o) be the first derivative of 79 + 0*o - 10/3*o**3 + 0*o**2 + 5/4*o**4 + o**5. Factor k(u).
5*u**2*(u - 1)*(u + 2)
Suppose -28 = -2*b - 4. Let t be (-5 + 3)*((-5)/(-2) + (-4)/1). Factor -8*h + 2*h**2 - 11*h + 3*h**4 - 2*h - h**5 - b*h**2 + 6*h**t - 9.
-(h - 3)**2*(h + 1)**3
Suppose 4*c + 219 = 3*c - 5*i, 2*i + 462 = -2*c. Let d be (6/9)/((-52)/c). Find y such that -2/7*y**2 + 2/7*y**d + 0 + 0*y = 0.
0, 1
Let c be (-7)/7*(-12)/((-84)/(-35)). Let y(z) be the first derivative of 0*z**4 - 1/6*z**3 + 0*z + 1/10*z**c + 2 + 0*z**2. Find q such that y(q) = 0.
-1, 0, 1
Find q such that 5/12*q - 1/12*q**2 + 0 = 0.
0, 5
Suppose -8*f + 2 = -7*f. Let -22*n - 121 - 6*n**2 - 3*n**f + 11*n**2 - 3*n**2 = 0. What is n?
-11
Let l(h) be the first derivative of 9/32*h**4 + h**3 + 90 + 3/4*h + 21/16*h**2. Solve l(r) = 0.
-1, -2/3
Let f(i) be the second derivative of i**4/6 - 82*i**3/3 - 623*i**2 + 2682*i. Factor f(j).
2*(j - 89)*(j + 7)
Factor -969*h**2 - 366657*h**3 + 136*h**4 - 1076*h - 408 + 185*h**2 + 366681*h**3 - 4*h**5.
-4*(h - 34)*(h - 3)*(h + 1)**3
Factor -128/5*y**2 + 0 + 168*y - 2/5*y**3.
-2*y*(y - 6)*(y + 70)/5
Suppose -87*m + 95*m - 120 = 0. Determine x so that -7 - m*x - 27 + 10*x**2 + 24 = 0.
-1/2, 2
Let x(o) = 7*o**3 - o**2 + 10*o - 3. Let d(i) = 4*i**3 - 2*i**2 + 6*i - 2. Let f(s) = 3*d(s) - 2*x(s). Let f(l) = 0. What is l?
-1, 0
Let y(i) be the first derivative of i**8/7560 + i**7/3780 - i**6/540 - i**5/540 + i**4/54 - 25*i**3 - 80. Let t(b) be the third derivative of y(b). Factor t(n).
2*(n - 1)**2*(n + 1)*(n + 2)/9
Let y(j) be the second derivative of 2/33*j**3 + 1/66*j**4 + 0 + 1/11*j**2 + 62*j. Let y(a) = 0. Calculate a.
-1
Factor -1413/5*h - 1/5*h**3 + 2106/5 + 48*h**2.
-(h - 234)*(h - 3)**2/5
Let p(g) be the third derivative of 0*g + 0*g**4 + 0*g**6 + 0 - 1/840*g**7 + 0*g**5 + 80*g**2 + 0*g**3. Factor p(u).
-u**4/4
Suppose -850*u + 338 = -1362. Factor -68/15*p + 578/15 + 2/15*p**u.
2*(p - 17)**2/15
Let x(a) be the third derivative of a**8/672 - a**7/60 - a**6/6 - 11*a**5/30 + 1626*a**2. Determine w, given that x(w) = 0.
-2, 0, 11
Let s = 367 - -81. Suppose 200*g + s = 204*g. Factor -8*h + g*h**4 - 156*h**3 + 0 + 64*h**2 - 49/2*h**5.
-h*(h - 2)**2*(7*h - 2)**2/2
Suppose 2*t = -0*t + 22. Let j be (-2)/3 - t/(-3). Determine d, given that -48*d**4 + 20*d**5 - 11*d**j - 33*d**3 + 16*d + 48*d**2 + 8*d**5 = 0.
-1, -2/7, 0, 1, 2
Let m(r) = r**4 - r**3 + 2*r**2 + r - 1. Let p(i) = -9*i**4 + 175*i**3 - 355*i**2 - 175*i + 344. Let f(g) = -10*m(g) - p(g). Solve f(h) = 0 for h.
-167, -1, 1, 2
Let r(s) be the third derivative of s**8/2184 - 54*s**7/455 - 33*s**6/52 - 2*s**5/195 + 55*s**4/13 + 6752*s**2. Find j, given that r(j) = 0.
-2, 0, 1, 165
Let u(w) be the first derivative of -14/15*w**3 + 0*w - 1/2*w**4 + 112 - 2/25*w**5 - 3/5*w**2. Suppose u(v) = 0. What is v?
-3, -1, 0
Let d(g) be the third derivative of -g**7/420 - 29*g**6/80 + 31*g**5/40 + 443*g**4/48 + 22*g**3 - 1863*g**2 + 2. Factor d(c).
-(c - 3)*(c + 1)**2*(c + 88)/2
Let y(k) = -k**3 + 5*k**2 + 23*k + 11. Let p be y(8). Suppose -3202*q + 8*q**2 + 3192*q - p*q**2 = 0. What is q?
0, 2
Let y(z) be the third derivative of -z**6/330 + 691*z**5/330 - 14878*z**4/33 - 29929*z**3/33 + 2323*z**2. Factor y(g).
-2*(g - 173)**2*(2*g + 1)/11
Let x(y) be the first derivative of 3721*y**6/480 - 61*y**5/80 + y**4/32 - 17*y**3/3 - 2*y**2 + 32. Let z(w) be the third derivative of x(w). Solve z(k) = 0.
1/61
Let i be 0/((-3 + -11)/7)*(-6 + 7). Let s(w) be the third derivative of 12*w**2 - 1/270*w**5 + 0*w + 0 + i*w**3 + 1/108*w**4. Find d such that s(d) = 0.
0, 1
Let h(k) be the second derivative of -k**6/180 - 7*k**5/90 + 18*k**2 + 9*k + 4. Let m(j) be the first derivative of h(j). Factor m(l).
-2*l**2*(l + 7)/3
What is a in 1042/7*a + 432/7*a**3 - 2/7*a**5 - 4*a**4 - 1108/7*a**2 - 48 = 0?
-24, 1, 7
Let f be -2*(55/(-10) + 4). Determine c, given that -4*c**2 - 186*c - f*c**2 + 6*c**4 - 4*c**2 + 126 - 2*c**5 + 60*c**3 + 7*c**2 = 0.
-3, 1, 7
Suppose -216 - 359*w - 200*w**2 - 224*w**2 + 411*w**2 = 0. What is w?
-27, -8/13
Suppose -68 - 1/6*a**2 + 59/6*a = 0. What is a?
8, 51
Suppose -513*s + 1462 - 215 = 211*s - 201. Factor -6 - 3/2*d**s - 16*d + 5/2*d**3.
(d - 3)*(d + 2)*(5*d + 2)/2
Let m be (-13)/(-3) - (-2)/(-6). Let g be -6 + 9 - 6/(-2). Solve -z**3 - m + z**2 + 3 + g*z - 5*z + 0*z = 0 for z.
-1, 1
Let u(i) = 8*i**2 + 934*i - 111342. Let h(w) = -7*w**2 - 935*w + 111347. Let t(v) = 10*h(v) + 9*u(v). Factor t(o).
2*(o - 236)**2
Let z be (45 + 15759/(-351))*21. Let 0 - z*s**5 - 6/13*s + 46/13*s**4 + 2*s**2 + 106/13*s**3 = 0. What is s?
-1, -1/2, 0, 1/7, 3
Let -12*j**5 - 308*j**3 - 92*j**4 - 272*j**2 - 69*j + 60*j**3 + 4*j - 31*j = 0. What is j?
-3, -2, -2/3, 0
Let w be -23 - (-2967)/86 - (-38)/(-4). Factor -48/7*k**w + 6*k + 6/7*k**3 + 0.
6*k*(k - 7)*(k - 1)/7
Let t be ((-584)/(-12) + 2)*(-12)/(-8). What is y in -3*y**4 - 12*y**3 + 48*y + 62 - 90 + t = 0?
-2, 2
Factor z**4 + z - z - 4876*z**2 + 178*z**3 + 4697*z**2.
z**2*(z - 1)*(z + 179)
Determine m, given that -462*m**2 - 178960936 + 498036*m + 1/7*m**3 = 0.
1078
Let c(g) be the first derivative of g**4/4 - 5*g**3/3 - 53*g**2/2 + 262*g - 166. Let v(i) = i**3 - 5*i**2 - 52*i + 260. Let l(y) = 4*c(y) - 5*v(y). Factor l(h).
-(h - 6)**2*(h + 7)
Let z(j) be the first derivative of j**4/14 - 110*j**3/21 - 591. Factor z(u).
2*u**2*(u - 55)/7
Let 0 - 366796*x**3 - 1/2*x**5 + 0*x + 734449/4*x**2 - 3427/4*x**4 = 0. Calculate x.
-857, 0, 1/2
Let u(g) = -26*g + 4. Let k be u(1). Let q = 25 + k. Factor -9*n**3 - q*n + 24*n**2 - 6 - 6*n**3 + 0 + 0*n.
-3*(n - 1)**2*(5*n + 2)
Let n = 475997 + -3331976/7. Find k, given that -9/7*k + n*k**2 + 0 = 0.
0, 3
Let f(t) = 47*t**2 - 1286*t + 81932. Let r(n) = 148*n**2 - 3859*n