*3 + 7*b + 3. Let v be n(-3). Let j = v - 61. Determine l, given that 981*l**2 - 6 - 978*l**j + 81 + 20*l + 10*l = 0.
-5
Let x(n) be the first derivative of 141*n**2 - 17*n**4 + 50 - 304/3*n**3 + 20*n**5 + 13/3*n**6 - 36*n. Find b, given that x(b) = 0.
-3, 2/13, 1
Let b(r) be the second derivative of -r**4/48 - 13*r**3/12 + 57*r**2 - 8*r - 104. Factor b(z).
-(z - 12)*(z + 38)/4
Let z = 41 - 41. Let q = z + 3. Suppose 9*l**q - 5*l**2 + 2*l**3 + 12*l**4 - l**2 + 10*l**3 = 0. Calculate l.
-2, 0, 1/4
Let z = 10 - 22/3. Let x(f) be the second derivative of 0 - 21*f + 2/15*f**6 - 2/5*f**5 - 7/3*f**4 + 0*f**2 - z*f**3. Factor x(h).
4*h*(h - 4)*(h + 1)**2
Factor 380*i**2 - 1147*i**2 + 1088*i + 383*i**2 + 380*i**2 - 73984.
-4*(i - 136)**2
Let n(k) be the second derivative of -k**7/1050 - 13*k**6/900 - 2*k**5/75 - 73*k**4/12 + 66*k. Let w(j) be the third derivative of n(j). Factor w(a).
-4*(a + 4)*(3*a + 1)/5
Let t(u) be the second derivative of 0*u**2 - 11/8*u**3 + 38*u + 0 - 1/16*u**4. Suppose t(i) = 0. Calculate i.
-11, 0
Let f be (-90)/(-18) + (1 - 5). Let n**2 - 5 - 4 - 15*n - 6*n**2 - f = 0. What is n?
-2, -1
Let o(x) be the first derivative of 3*x**4/4 + 72*x**3 + 411*x**2/2 - 630*x + 657. Determine i, given that o(i) = 0.
-70, -3, 1
Let c(n) = -453*n**3 - 8*n**2 + 3*n - 1. Let p be c(1). Let u be 255/p*4/(-10). Factor 0*w**3 + u*w**4 + 0 + 0*w - 2/9*w**2.
2*w**2*(w - 1)*(w + 1)/9
Let m(u) be the first derivative of 1/24*u**6 + 1/8*u**2 - 1/8*u**4 + 1/4*u - 95 - 1/6*u**3 + 1/20*u**5. Factor m(y).
(y - 1)**2*(y + 1)**3/4
Let a be (-3)/(-1)*1 + 10 + -8. Suppose -a*d = 21 - 46. Factor -23*l**2 - 10*l**2 - 20*l**3 + 8*l**2 - d*l**4 - 10*l.
-5*l*(l + 1)**2*(l + 2)
Let u(b) be the first derivative of -b**5/30 - b**4/2 - 2*b**3/3 + 20*b**2/3 + 8429. Find y such that u(y) = 0.
-10, -4, 0, 2
What is f in -5043*f**2 + 1344*f**3 + 35*f**4 + 121*f**4 + 33856 - 12*f**4 - 9305*f**2 + 18308*f = 0?
-16, -1, 23/6
Let p = -104565/13 - -8051. Let q = p - 477/65. Determine g, given that 7/5*g**3 - 4/5 - 8/5*g - q*g**2 + g**4 + 1/5*g**5 = 0.
-2, -1, 1
Let f(v) be the third derivative of 1/480*v**6 - 2*v**2 + 1/80*v**5 - 1/96*v**4 + 101*v + 0 - 1/8*v**3. Factor f(a).
(a - 1)*(a + 1)*(a + 3)/4
Determine m, given that -1/3*m**4 + 29/3*m**3 + 352/3 + 160/3*m - 54*m**2 = 0.
-1, 4, 22
Let r(k) be the second derivative of -k**6/420 - k**5/70 + k**4/21 + 101*k**2/2 - 3*k - 61. Let g(a) be the first derivative of r(a). Factor g(i).
-2*i*(i - 1)*(i + 4)/7
Let p be 35/(-140) + 13*(-1)/(-4). What is j in -26*j - 25*j + 3*j**3 - 36*j**2 - 5*j**p - 111*j = 0?
-9, 0
Let s(l) be the third derivative of l**8/168 - 3*l**7/35 - 33*l**6/10 - 171*l**5/5 - 729*l**4/4 - 567*l**3 + 9140*l**2. Factor s(o).
2*(o - 21)*(o + 3)**4
Suppose -7 = 6*s - 31. Let y(v) be the first derivative of -9/2*v**2 + 3/4*v**s - 6*v - 4 + 0*v**3. Find i such that y(i) = 0.
-1, 2
Let t be (5/(-1165))/((96/(-711))/(-8)). Let a = -1/233 - t. Suppose j**2 + 5/4*j + a*j**3 + 1/2 = 0. Calculate j.
-2, -1
Let n(g) be the first derivative of -110 - 7/2*g**3 - 3/10*g**5 + 9/4*g**2 + 15/8*g**4 + 0*g. Factor n(z).
-3*z*(z - 3)*(z - 1)**2/2
What is r in -448 + 2350*r - 4698*r + 2*r**2 + 2568*r = 0?
-112, 2
Let t be ((-18544)/(-440) + (-102)/187)/(44/10 - 0). Factor 54/11*y**4 + 46/11*y**2 + 4/11*y - t*y**3 + 0.
2*y*(y - 1)**2*(27*y + 2)/11
Suppose -28/3*a**3 + 1/3*a**4 - 101/3*a**2 + 55/6*a + 100/3 + 1/6*a**5 = 0. Calculate a.
-5, -1, 1, 8
Let l(c) be the second derivative of -c**6/15 - 313*c**5/10 - 5460*c**4 - 1157312*c**3/3 - 1124864*c**2 + 329*c. Let l(z) = 0. What is z?
-104, -1
Let s(d) be the second derivative of 10*d**3 + 1/4*d**5 + 0 - 5/2*d**4 - 55*d - 20*d**2. Factor s(o).
5*(o - 2)**3
Let p be (-5184)/(-2268) - 20/(-28). Factor 520/9*t**p - 16 - 916/9*t**2 + 208/3*t - 100/9*t**4.
-4*(t - 2)**2*(5*t - 3)**2/9
Solve 148165888*f**2 - 4*f**5 - 15856955528 + 3368*f**4 - 3104317884*f + 2164601286*f - 6688155374*f - 1061752*f**3 = 0 for f.
-2, 211
Factor -555*k + 20 - 20*k**2 + 575*k + 5*k**2 + 25*k**3 - 46*k**2 - 4*k**2.
5*(k - 2)*(k - 1)*(5*k + 2)
Suppose 4*v - 22 = -5*i, -7*v = -4*v + i - 11. Solve -25*t**3 + 17*t**3 + 100*t + 1244*t + 0*t**3 - 40*t**v + 1568 + 2*t**4 + 176*t**2 = 0 for t.
-2, 14
Suppose 0*v - 5*v + 25 = 0. Let r(p) = 161 + 90 - 6*p**2 - 259. Let w(h) = h**2 + 1. Let o(a) = v*r(a) + 35*w(a). Factor o(q).
5*(q - 1)*(q + 1)
Let u be (-24 - (22 - 47)) + (-39)/91. Factor -24/7*z + 20/7 + u*z**2.
4*(z - 5)*(z - 1)/7
Let g = 363 + -361. Determine r so that 18 + 11*r**g + 2*r**3 - 18 + 11*r**2 + 20*r = 0.
-10, -1, 0
Let w(u) be the third derivative of -u**8/3024 - u**7/21 - 13*u**6/54 + u**5/6 + 29*u**4/24 + 42*u**2 - u + 9. Find a such that w(a) = 0.
-87, -3, -1, 0, 1
Let j(f) be the third derivative of -7*f**6/1800 + f**5/150 + 13*f**3/2 + f**2 - 6*f. Let x(a) be the first derivative of j(a). Suppose x(n) = 0. What is n?
0, 4/7
Let f(x) be the first derivative of 4448*x**5/5 - 564*x**4 - 1930*x**3/3 - 132*x**2 + 2*x + 3401. Solve f(j) = 0.
-1/4, 1/139, 1
What is o in -1860*o + 18*o**2 + 1686 + 45*o**3 - 545 + o**4 + 659 - 4*o**4 = 0?
-6, 1, 10
Let k be (-14872)/(-884) - -26 - 42. Factor 6/17 - k*w + 10/17*w**2 - 2/17*w**3.
-2*(w - 3)*(w - 1)**2/17
Let p(c) be the first derivative of -5 - 25/12*c**4 - 65/6*c**3 + 1/4*c**5 - 35/2*c**2 - 14*c. Let w(g) be the first derivative of p(g). Factor w(d).
5*(d - 7)*(d + 1)**2
Let d = -781 - -811. Let f be (5 - 4)*d/15. Factor -12*y**f + 3/2 + 21/2*y.
-3*(y - 1)*(8*y + 1)/2
Suppose -14 - 106 = -q + 4*b, 5*q + 5*b = 725. Let l be 5/(-40) + q/96. Let l*n**4 + 0 + 8/3*n**3 + 0*n - 4/3*n**5 + 0*n**2 = 0. Calculate n.
-1, 0, 2
Factor 136*c + 26*c - 15*c**2 + 54*c - c**3 - 165 - 2*c**3 - 33*c.
-3*(c - 5)*(c - 1)*(c + 11)
Let y = -45528 - -45530. Determine v so that -v - 3/2 + v**3 - 1/2*v**4 + y*v**2 = 0.
-1, 1, 3
Let n(h) = 4*h**2 + 4*h - 2. Let w(p) = 23*p**2 - 508*p - 1078. Let b(z) = 5*n(z) - w(z). Let b(q) = 0. Calculate q.
-2, 178
Let y(h) be the third derivative of 0*h - 1/12*h**5 - 5 + 1/120*h**6 + 0*h**4 + 0*h**3 + 11*h**2. Factor y(b).
b**2*(b - 5)
Let h(t) = t**3 - 14*t**2 + 16*t - 37. Let v be h(13). Let x = 65 + -62. Factor -32*c**v + 33*c**2 + 6*c - x + 3.
c*(c + 6)
Let j(o) = -2*o - 32. Let k be j(-18). Let q be 25/9 + 7*k/126. Factor 5 - 5*g**2 - g**q + g**3 + 5*g - 5*g**3.
-5*(g - 1)*(g + 1)**2
Let g be (6/30)/(0 - (-1)/(-38)) - -8. Factor 236/5*o - g*o**2 - 6962/5.
-2*(o - 59)**2/5
Let r(b) be the third derivative of b**8/10080 + 13*b**7/1260 - 5*b**4/24 + 5*b**3/6 + 4*b**2 - 23*b. Let m(o) be the second derivative of r(o). Factor m(s).
2*s**2*(s + 39)/3
Let q = 81 + 14. Let i = q + -92. Factor -a**2 + 24*a**4 - a**3 - 5*a**2 + 2*a**2 - 5*a**i - 14*a**5.
-2*a**2*(a - 1)**2*(7*a + 2)
Suppose 4 = -4*t + 2*h, 0 = 33*t - 38*t - h + 16. Let z(p) be the first derivative of 4 + 0*p + 1/22*p**4 + 0*p**t + 2/33*p**3. Factor z(q).
2*q**2*(q + 1)/11
Let a(t) = 2*t**3 + 10*t**2 - 17*t - 96. Let u be a(-4). Suppose -2/11*b**2 - 42/11 + u*b = 0. Calculate b.
1, 21
Suppose 31*d - 49 = 75. Suppose 2*y + 19 = 5*h, -h - 47 = d*y - 42. Factor -12/11*l**h + 4/11*l - 2/11*l**2 + 0.
-2*l*(2*l - 1)*(3*l + 2)/11
Let j(y) = 7*y**2 - 222*y + 206. Let o(l) = 5*l**2 - 216*l + 205. Let s(d) = -2*j(d) + 3*o(d). Factor s(c).
(c - 203)*(c - 1)
Suppose -1848/17 - 928/17*o - 2/17*o**2 = 0. Calculate o.
-462, -2
Let f = 188240/77 - 26882/11. Solve f*r - 4/7 + 0*r**2 - 2/7*r**3 = 0 for r.
-2, 1
Let c(k) = -k**2 + 13*k - 20. Suppose 0 = 3*w - 2*n - 27, w - 7 = -w + 5*n. Let u be c(w). Find m, given that -3*m - 3*m - 4 + 6 + m**u + 5*m**2 - 2*m**3 = 0.
1
Let b be (8/(-3))/(30140/(-18495)). Factor 2/11*p**3 - 2/11*p**4 + 2*p + 8/11 + b*p**2.
-2*(p - 4)*(p + 1)**3/11
Let b(t) = -14*t + 104. Let r be b(7). Let j be (-1)/(((-24)/r)/12). Factor -10*n**5 + 0*n - 8/5*n**2 - 48/5*n**j - 18*n**4 + 0.
-2*n**2*(n + 1)*(5*n + 2)**2/5
Let h(t) = -113*t + 4068. Let a be h(36). Let j(f) be the first derivative of 0*f**2 + a*f - 7 - 1/30*f**3 - 1/40*f**4. Determine m so that j(m) = 0.
-1, 0
Let k = 151 + -149. Factor -49*q**4 + 46*q**4 + k*q**2 - 5*q**5 + q**2 + 2*q**5 + 3*q**3.
-3*q**2*(q - 1)*(q + 1)**2
Let v(n) be the first derivative of -94*n**3/9 - 7*n**2 + 3588. Solve v(p) = 0 for p.
-21/47, 0
Su