 be the first derivative of -2*w**5/65 - 3*w**4/26 + 2*w**3/3 + 51*w**2/13 + 72*w/13 - 4805. Let r(v) = 0. Calculate v.
-3, -1, 4
Suppose 3*x + 2*x - 605 = 5*z, -2*z = -x + 126. Let y = x - 810/7. Factor y*r**2 + 0 + 2/7*r**4 + 0*r - 4/7*r**3.
2*r**2*(r - 1)**2/7
Solve 879/5*s**2 - 1/5*s**3 + 192721/5 - 193599/5*s = 0.
1, 439
Let k(s) be the first derivative of -s**3/7 - 141*s**2/14 - 198*s - 6558. Let k(z) = 0. What is z?
-33, -14
Let h(c) be the third derivative of -8*c**2 + 0*c**3 + 11/600*c**6 + 1/1680*c**8 - 1/50*c**5 + 0 - 1/175*c**7 - c + 0*c**4. Suppose h(y) = 0. What is y?
0, 1, 2, 3
Let f(q) = 57*q**4 - 429*q**3 - 420*q**2 + 834*q - 6. Let u(s) = 161*s**4 - 1286*s**3 - 1259*s**2 + 2503*s - 17. Let r(k) = 17*f(k) - 6*u(k). Factor r(n).
3*n*(n - 1)*(n + 2)*(n + 140)
Suppose d - 14 = 3*d. Let l(x) = -2*x - 5*x**3 + 190 - 90 - 107. Let w(f) = -4*f**3 - 2*f - 6. Let t(u) = d*w(u) + 6*l(u). Determine q, given that t(q) = 0.
-1, 0, 1
Let a(x) be the third derivative of -x**5/48 + 155*x**4/24 - 205*x**3/8 - 767*x**2. Factor a(l).
-5*(l - 123)*(l - 1)/4
Suppose p = 3*n + 23, p + 4*p - n - 59 = 0. Suppose -3*a - 26 = -3*h + a, h + a = p. Factor -25 + 6*j**2 - 4*j**2 - 3*j**2 + h*j.
-(j - 5)**2
Let q(l) = l + 7. Let o be q(-3). Let j be o - 1/(10/(-4) - -3). Factor -9*i**2 + 2*i**2 - 5*i**2 + 4*i**3 + 4*i**j.
4*i**2*(i - 2)
Let q(z) be the first derivative of -3*z**5/35 - 27*z**4/4 - 62*z**3/7 - 348. Determine o so that q(o) = 0.
-62, -1, 0
Let n(q) be the first derivative of q**6/3 + 2*q**5 + 3*q**4/2 - 10*q**3/3 - 4*q**2 + 2769. What is z in n(z) = 0?
-4, -1, 0, 1
Let f(o) be the third derivative of o**6/160 - 29*o**5/40 + 195*o**4/8 + 225*o**3 - o**2 - 203*o. Suppose f(m) = 0. What is m?
-2, 30
Suppose -5*w + 15 = -2*h, 0*w = 3*h + 5*w - 40. Let s = -323 - -325. Factor -23*a**4 - 5*a**5 + s*a + 27*a**4 + 3*a**h - 4*a**2.
-2*a*(a - 1)**3*(a + 1)
Let i = 42 - 30. Let v be (-1)/(-2) + 570/i + -2. Solve -35*q**2 - v*q + 71*q - 2*q**3 + 12*q**3 - 35*q + 35*q**4 = 0 for q.
-1, -2/7, 0, 1
Suppose 3*i = -t + 100, i + 5*t + 1 = 25. Suppose -4*c + 18 = -i. Find w such that 0*w**2 + c + 3 - 8 - 2*w**2 = 0.
-2, 2
Let h(l) be the second derivative of l**7/70 - 46*l**6/25 + 3309*l**5/50 - 207*l**4 + 405*l**3/2 + 5748*l - 1. Factor h(p).
3*p*(p - 45)**2*(p - 1)**2/5
Suppose -2 = -47*g - 4 + 2. Let q(c) be the second derivative of 0 + 5/72*c**4 - 22*c + 1/18*c**3 + g*c**2 + 1/30*c**5 + 1/180*c**6. Let q(o) = 0. Calculate o.
-2, -1, 0
Let x(y) be the third derivative of -1200*y**4 - 1/105*y**7 - 8*y**2 - 1536*y**3 - 292/5*y**5 + 0*y - 217/180*y**6 - 3. Determine h, given that x(h) = 0.
-24, -1/3
Let u(k) be the second derivative of 7*k + 1/80*k**5 + 5/72*k**3 - 7/144*k**4 + 0 - 1/24*k**2. Determine p, given that u(p) = 0.
1/3, 1
Let v(m) be the first derivative of m**3/9 + 103*m**2/2 - 310*m/3 + 2287. Suppose v(t) = 0. What is t?
-310, 1
Suppose -7*x = -165 + 39. Determine i, given that 84*i**3 - 2352*i**2 + x*i**4 - 9*i**4 - 10*i**4 + 21952*i = 0.
0, 28
Let s be 1302/465 + (-4)/(-20)*(-1 + 2). Let x(z) be the third derivative of 0*z + 9*z**2 - 9/8*z**s + 0 - 3/16*z**4 - 1/80*z**5. Factor x(d).
-3*(d + 3)**2/4
Let v(t) = -18*t**3 - 2*t**2 + 1. Let h(o) = 123*o**3 + 2092*o**2 + 1375*o - 696. Let k(n) = -h(n) - 6*v(n). Factor k(l).
-5*(l + 1)*(l + 138)*(3*l - 1)
Let w(j) be the first derivative of 5*j**4/12 + 25*j**3/6 + 10*j**2 - 159*j - 223. Let i(q) be the first derivative of w(q). Factor i(o).
5*(o + 1)*(o + 4)
Let k(d) be the third derivative of 41*d**2 + 7/18*d**4 + 0*d - 2/45*d**5 + 0 - 2/3*d**3. Determine x so that k(x) = 0.
1/2, 3
Let u be (-10)/70 - (29/(-7) + -2). Let p be u + 1*68/(-12). Let 0*c + p*c**4 - 1/3*c**2 + 4/3*c**3 + 0 - 4/3*c**5 = 0. Calculate c.
-1, 0, 1/4, 1
Let x(s) be the second derivative of -s**4/9 + 656*s**3/3 + 1970*s**2/3 - 647*s + 7. Determine h, given that x(h) = 0.
-1, 985
Let x(q) = 9*q**3 - 9*q**2 - 14*q. Let f(t) = -90*t + 55*t - 90*t + 80*t**3 - 80*t**2. Let d = -59 - -94. Let w(y) = d*x(y) - 4*f(y). What is c in w(c) = 0?
-1, 0, 2
Let j(f) = -f**3 - 40*f**2 + 29*f - 164. Let h be j(-41). Determine m so that -4*m**3 - h*m**2 - 36*m + 179*m**2 + 173*m**2 = 0.
0, 3
Let y(h) be the first derivative of 3*h**5/5 + 15*h**4 - 3*h**3 - 93*h**2 - 120*h - 1333. Factor y(i).
3*(i - 2)*(i + 1)**2*(i + 20)
Let b(d) be the first derivative of 11/3*d**3 - 1/4*d**4 + 0*d + 13*d**2 + 76. Let b(o) = 0. Calculate o.
-2, 0, 13
Factor 54*z**3 + 25*z**2 + 16*z**3 - 603*z + 167*z**2 - 67*z**3.
3*z*(z - 3)*(z + 67)
Let s be -6 + 40/7 + (-32)/(-14). Suppose 0 = s*v - 6 - 18. Suppose -6*h - 7*h**2 + 11 - 8*h**2 + 13 + v*h**2 = 0. Calculate h.
-4, 2
Let y(m) be the first derivative of 5*m**3/3 - 1965*m**2 + 772245*m + 6771. Suppose y(f) = 0. Calculate f.
393
Let k = -230016 + 2531744/11. Factor 2/11*r**2 + 112/11*r + k.
2*(r + 28)**2/11
Let r = 118647/4 - 29492. Let p = r + -166. Solve -9/4*a**2 + 25/4 + 1/4*a**3 + p*a = 0 for a.
-1, 5
Suppose 2*s + 5*o - 6 = 0, -3*o - 20 = -2*s - o. Let q = -4113 + 4113. Suppose -s*k**2 + q*k - 8*k - k - 3*k + 4*k**3 = 0. Calculate k.
-1, 0, 3
Let c = 108126 - 108124. Solve -20/3*q + 2/9*q**4 + 38/9*q**c + 20/9*q**3 + 0 = 0 for q.
-6, -5, 0, 1
Suppose 0 = -v - 25 + 23. Let p(b) = 2*b**4 + b**3 - b**2 + b - 1. Let y(f) = -4*f**4 - f**3 + 5*f**2 - f - 1. Let n(l) = v*p(l) - 2*y(l). Factor n(r).
4*(r - 1)**2*(r + 1)**2
Let a(z) be the first derivative of -1936*z**3 + 0*z + 261/5*z**5 + 204 + 1386*z**4 + 1/2*z**6 + 0*z**2. Let a(p) = 0. What is p?
-44, 0, 1
Let f be (-69 + 57)*10/4. Let y be 0 + 6/f + 92/160. Determine m, given that -y*m**3 + 3/8*m**2 + 0 - 1/8*m + 1/8*m**4 = 0.
0, 1
Let c(t) be the second derivative of 3*t**7/56 - t**6/5 - 3*t**5/5 + 283*t. Factor c(d).
3*d**3*(d - 4)*(3*d + 4)/4
Let x be (-7)/560*-242 + -3. Let f(n) be the third derivative of -x*n**6 + 0*n + 0 + 1/8*n**4 + 1/20*n**5 - 1/2*n**3 - 16*n**2. Solve f(l) = 0 for l.
-1, 1
Suppose -187*w + 12 = -181*w. Factor -14*n**w - 150 + 7*n**2 + 147*n + 10*n**2.
3*(n - 1)*(n + 50)
Suppose 4*i + 7 = 23. Suppose -5*o + 4 = -i*r - 1, -3*o + 2*r = -5. Factor -11*a**2 - 14*a**2 - 15*a + o*a.
-5*a*(5*a + 2)
Solve 22*q - 163*q + 20*q**3 + q**3 - 149 + 60*q**2 - 24*q**3 - 55 = 0.
-1, 4, 17
Let v(p) be the first derivative of -p**4/2 - 10*p**3/3 - 3*p**2 + 18*p - 10979. Factor v(s).
-2*(s - 1)*(s + 3)**2
Factor -52337648 - 22353616 + 22*y**3 - 2444*y**2 - 184*y**2 - 25*y**3 - 767376*y.
-3*(y + 292)**3
Determine n, given that -2/7*n**4 - 390*n**2 - 6084/7*n + 152/7*n**3 + 0 = 0.
-2, 0, 39
Let k(t) = -2*t**2 + 43*t + 25. Let f be k(22). Let l be -2*(-2 - (f - 3)). Find x such that 0 - 4/13*x**l - 2/13*x + 2/13*x**5 + 0*x**3 + 4/13*x**2 = 0.
-1, 0, 1
Let d(q) be the first derivative of -q**7/280 + q**6/20 - q**5/8 - 268*q**3/3 + 56. Let s(a) be the third derivative of d(a). Factor s(j).
-3*j*(j - 5)*(j - 1)
Let b(u) = -70*u**4 - 121*u**3 - 162*u**2 + 13*u. Let n(f) = 11*f**4 + 20*f**3 + 27*f**2 - 2*f. Let h(c) = 2*b(c) + 13*n(c). Factor h(y).
3*y**2*(y + 3)**2
Factor 996/5*m + 2008/5 - 4/5*m**2.
-4*(m - 251)*(m + 2)/5
Let s(f) be the second derivative of 0 - 40/9*f**3 + 800/3*f**2 + 1/36*f**4 + 117*f. Let s(m) = 0. What is m?
40
Let t(y) be the third derivative of -1/480*y**5 + 13/64*y**4 + 57 + 0*y**3 + 0*y - y**2 - 13/320*y**6 + 1/1680*y**7. Suppose t(b) = 0. Calculate b.
-1, 0, 1, 39
Let k(p) be the third derivative of p**9/15120 - p**8/1680 - 27*p**4/8 - 39*p**2 - 3. Let r(h) be the second derivative of k(h). Suppose r(n) = 0. Calculate n.
0, 4
Let s(w) be the first derivative of -w**5/60 - w**4/16 + 77*w**3/18 + 3692. Factor s(k).
-k**2*(k - 11)*(k + 14)/12
Let s(f) = f**3 + 3*f**2 - 15*f + 18. Let m be s(5). Let -3*v + 281*v**2 - 134*v**2 - m*v**2 - 6*v**3 + 5*v = 0. Calculate v.
-1/3, 0, 1
Suppose 1653 = 11*x - 8*x. Suppose x + 121 = 6*t. Factor o + 27*o**4 + 6*o**3 + t*o**2 - 7*o - 139*o**2.
3*o*(o - 1)*(o + 1)*(9*o + 2)
Let z(j) = 8*j**2 - 270*j - 959. Let q be z(37). Determine b so that -19/3*b - 1/3*b**q - 4 - 8/3*b**2 = 0.
-4, -3, -1
Let g = 2921 + -2917. Let k(f) be the first derivative of 0*f + 45/4*f**g - 3 - 10*f**2 + 80/3*f**3. Let k(r) = 0. What is r?
-2, 0, 2/9
Let m(d) = 12*d**2 + 2*d - 10. Let l(v) = -11*v**2 - v + 10. Suppose 2*y - 39 