132. Let g(a) = -36*a**2 + 332*a - 664. Let b(t) = -3*g(t) + 16*u(t). Factor b(q).
-4*(q - 6)*(q - 5)
Let z(f) be the first derivative of -1/18*f**4 + 7/9*f**2 + 71 + 8/27*f**3 - 20/9*f. Factor z(o).
-2*(o - 5)*(o - 1)*(o + 2)/9
Let b(p) be the first derivative of -p**5 - 1255*p**4/4 + 1270*p**3/3 + 1260*p**2 + 1787. Factor b(i).
-5*i*(i - 2)*(i + 1)*(i + 252)
Let n(u) be the second derivative of 11/30*u**6 + 3*u + 0*u**3 + 0*u**2 + 1/42*u**7 + 25/12*u**4 + 7/4*u**5 - 7. Determine s so that n(s) = 0.
-5, -1, 0
Let p(k) be the third derivative of -7*k**4/12 + 110*k**3 + 56*k**2 + k. Let y be p(47). Factor 1/2*l**y - 1/2*l**3 + 5*l + 4.
-(l - 4)*(l + 1)*(l + 2)/2
Let z(r) be the first derivative of -r**6/30 + 6*r**5/25 - 2*r**4/5 - 599. Suppose z(l) = 0. Calculate l.
0, 2, 4
Let q = 1696/5 + -339. Let p = 2/99 + 89/495. Factor 0 - p*l + q*l**4 - 3/5*l**3 + 3/5*l**2.
l*(l - 1)**3/5
Factor 585/4 + 139/8*d + 1/8*d**2.
(d + 9)*(d + 130)/8
Suppose 5*l**5 - 1129*l**3 + 2220*l**2 + 20*l**4 - 575*l**4 + 1312*l + 549*l**3 + 928*l = 0. Calculate l.
-2, -1, 0, 2, 112
Let q(t) be the third derivative of t**8/784 + t**7/245 - 83*t**6/280 - 3*t**5/5 + 63*t**4/2 + 2520*t**2. Determine l, given that q(l) = 0.
-7, 0, 6
Suppose 0 = -45*z + 42*z + 15. Suppose 0 = -z*h - 4*y + 19, -3*h - 3*y = h - 15. Let -2/7*d + 0 - 8/7*d**4 - 2/7*d**5 - 12/7*d**h - 8/7*d**2 = 0. What is d?
-1, 0
Let p be (2565/(-630))/((-4)/8). Solve -18 + 3/7*r**2 + p*r = 0 for r.
-21, 2
Let p(x) be the first derivative of 337091322*x**4/7 - 1760268*x**3/7 + 3447*x**2/7 - 3*x/7 - 7022. Factor p(y).
3*(766*y - 1)**3/7
Suppose 13*x - 9*x = 8. Determine j, given that -11*j**2 - 8*j**x + 2*j**3 + 21*j**2 = 0.
-1, 0
Let k = -292123/40 - -36596/5. Suppose 1449/8*x - 1323/8 - k*x**2 + 3/8*x**3 = 0. What is x?
1, 21
Suppose -l + 0*l - 2*b = -17, -3*b = -4*l + 35. Let m = l - 37/4. Factor m*r**3 - 9/4*r**2 + 0 + 1/2*r.
r*(r - 1)*(7*r - 2)/4
Let s be (-4970)/(-3905) + 118/(-110). Let 4/5*n**2 - n + 0 + s*n**3 = 0. What is n?
-5, 0, 1
Let i(o) be the first derivative of 0*o**2 - 9 + 4/27*o**3 + 1/18*o**4 + 0*o. Factor i(b).
2*b**2*(b + 2)/9
Suppose 27 = -12*i + 27. Suppose 6909*b - 6903*b - 12 = i. What is c in -4/3*c**b - 2/3*c**3 + 4/3 + 2/3*c = 0?
-2, -1, 1
Let a(f) = -2*f**3 - f - 2. Let k(i) = -22*i**2 - 30*i - 10. Let p(v) = -21*v**2 - 28*v - 9. Let h(z) = -5*k(z) + 6*p(z). Let s(t) = 2*a(t) + h(t). Factor s(j).
-4*(j + 1)**2*(j + 2)
Suppose 227 + 136 = 11*a. Suppose -a*r = -9*r - 48. Find j such that -8/9*j**r - 10/9*j**4 - 8/9*j + 0 + 26/9*j**3 = 0.
-2/5, 0, 1, 2
Let q(v) = 15 - 4*v - 8 + 31 - 6. Let z be q(-6). Suppose 24*t**4 + t**2 - 65*t**5 + 5*t**2 + z*t**5 - 21*t**3 = 0. Calculate t.
0, 2/3, 1
Let h(i) be the third derivative of 0*i - i**3 - 3/8*i**4 - 307*i**2 - 1/20*i**5 + 0. Suppose h(j) = 0. What is j?
-2, -1
Let j(o) be the second derivative of o**6/2880 + o**5/192 - o**4/8 + 70*o**3/3 + 100*o. Let n(u) be the second derivative of j(u). Factor n(v).
(v - 3)*(v + 8)/8
Let h be -7 + (25 - (-5 - -23)). Let w(k) be the first derivative of -15/2*k**2 + 15/4*k**4 - k**5 + 5/3*k**3 - 7 + h*k. Factor w(y).
-5*y*(y - 3)*(y - 1)*(y + 1)
Let b(s) be the third derivative of 58*s**2 + 0*s**4 + 0*s - 1/90*s**6 + 2/315*s**7 + 0 - 2/45*s**5 + 0*s**3. Factor b(c).
4*c**2*(c - 2)*(c + 1)/3
Let m(q) be the first derivative of -q**5 - 65*q**4/2 - 445*q**3/3 - 40*q**2 + 660*q + 3032. Determine a, given that m(a) = 0.
-22, -3, -2, 1
Let k = 7746 + -7743. Let j(y) be the second derivative of -23*y + 0 + 3/2*y**k - 9/4*y**4 + 3/10*y**5 + 6*y**2. Suppose j(z) = 0. What is z?
-1/2, 1, 4
Solve -252/5 + 3*w + 3/5*w**2 = 0 for w.
-12, 7
Let y(t) = -1153*t + 8094. Let j be y(7). Let l(a) be the first derivative of 0*a**2 + 1/26*a**4 + j - 2/39*a**3 + 0*a. Find u, given that l(u) = 0.
0, 1
Let a(u) be the second derivative of u**6/80 - 39*u**5/40 + 45*u**4/2 + 100*u**3 - 159*u**2/2 - 33*u. Let l(c) be the first derivative of a(c). Factor l(t).
3*(t - 20)**2*(t + 1)/2
Let w be (-1)/40 + (-1)/(-8). Let k be (0 + 0 - 1) + 4. Solve 0*d + 0 - 1/5*d**2 - w*d**k = 0 for d.
-2, 0
Let j = -499 + 511. Factor -618*h**2 + 1235*h**2 - 618*h**2 - 36 - j*h.
-(h + 6)**2
Let i(n) = 62*n**3 - 51*n**2 - 197*n - 9. Let u(p) = -7*p**3 + p + 1. Let t(l) = -5*i(l) - 45*u(l). Determine s, given that t(s) = 0.
-47, -4, 0
Let c(h) = -8*h**3 - 178*h**2 - 649*h - 614. Let y(g) = -17*g**3 - 357*g**2 - 1301*g - 1226. Let i(q) = 7*c(q) - 3*y(q). Let i(v) = 0. Calculate v.
-31, -2
Suppose 3*s = 15*v - 11*v - 315, v = 2*s + 75. Suppose -138*m + 72*m + v*m + 3*m**2 = 0. What is m?
-5, 0
Let a be ((-50609)/325)/(-17) + -9. Let o(n) be the first derivative of -2/5*n**4 - 1 + 0*n**3 + 0*n**2 - a*n**5 + 0*n. What is u in o(u) = 0?
-2, 0
Suppose 17*s + 57 = -45. Let p(a) = -24*a + 5 - 2*a**2 + a**2 + 15. Let i(u) = -2*u**2 - 24*u + 20. Let m(f) = s*p(f) + 5*i(f). Factor m(z).
-4*(z - 5)*(z - 1)
Suppose -5*h + p - 2*p = 30, 0 = 2*h - 2*p. Let q(t) = t**2 + 3*t - 7. Let r be q(h). Suppose 2*k**2 - 9 - 6*k**r + 6 + 7*k**2 + 0 = 0. Calculate k.
-1/2, 1
Let z be 4/42*(97 + -37). Solve -2/7*c + 2/7*c**2 - z = 0.
-4, 5
Factor -2*s**2 + 0*s**3 + 3*s**3 + 3477*s**4 - 3478*s**4.
-s**2*(s - 2)*(s - 1)
Let o(m) be the second derivative of -1/20*m**5 + 1/6*m**3 + 0 - 1/12*m**4 + 1/30*m**6 + 79*m + 0*m**2. Factor o(r).
r*(r - 1)**2*(r + 1)
Let i(k) be the first derivative of k**6/60 - 3*k**5/2 + 29*k**4/4 - 43*k**3/3 - 56*k**2 + k + 15. Let z(a) be the second derivative of i(a). Factor z(b).
2*(b - 43)*(b - 1)**2
Let j(z) = -26*z**2 + 8302*z + 4301461. Let u(h) = 120*h**2 - 41508*h - 21507310. Let n(t) = -14*j(t) - 3*u(t). Determine i so that n(i) = 0.
-1037
Let b(r) = -7*r + 247. Let c be b(35). Let x(j) be the second derivative of 4/3*j**3 - 5/3*j**4 - 2/15*j**6 + 7*j + 0*j**c + 0 + 4/5*j**5. Factor x(u).
-4*u*(u - 2)*(u - 1)**2
Let g be (118 - 123) + (-48)/(-10 + 4). Solve g*y + 9 + 1/4*y**2 = 0.
-6
Let w(j) be the third derivative of 0*j - 95*j**2 - 15/4*j**4 - 20/3*j**3 + 0 - 7/12*j**5 + 1/8*j**6. Find g, given that w(g) = 0.
-1, -2/3, 4
Let r(g) = 14*g**3 - 8*g**2 - 18*g + 4. Let h(u) = -9*u**3 + 5*u**2 + 12*u - 3. Suppose 3*b + 4 = 19. Let n(z) = b*r(z) + 8*h(z). Factor n(q).
-2*(q - 1)**2*(q + 2)
Let u be -6 + (3 + -4 - -2) + 19. Let d be (u - 26)/24 + (-10)/(-12). Factor 4/3*p - 1 - d*p**2.
-(p - 3)*(p - 1)/3
Suppose -345 = 52*r - 449. Let v = -3 + 3. What is p in -8/7*p + v - 4/7*p**r = 0?
-2, 0
Suppose 3 - 3 = -a. Suppose 0 = -3*c + 4*l - 1, a = -5*c - 5*l - 18 + 63. What is w in -10*w - 6*w - 7*w**2 - c*w**2 + 8*w**2 = 0?
-4, 0
Let j(l) be the third derivative of -l**7/42 - 3*l**6/8 - 5*l**5/6 + 15*l**4/2 + 140*l**3/3 - 235*l**2 - 2*l. Factor j(w).
-5*(w - 2)*(w + 2)**2*(w + 7)
Let m(a) be the first derivative of -1/5*a**5 - 13*a + a**4 + 0*a**3 - 8*a**2 - 3. Let i(q) be the first derivative of m(q). Suppose i(p) = 0. What is p?
-1, 2
Factor -2/11*i**2 + 326/11 - 324/11*i.
-2*(i - 1)*(i + 163)/11
Suppose 2*g = 2*z - 18, 0 = -5*z - 26*g + 24*g - 4. Factor 74/7*t + 2*t**z + 20/7.
2*(t + 5)*(7*t + 2)/7
Solve 2/11*n**4 - 294/11*n**2 - 488/11*n - 248/11 - 52/11*n**3 = 0 for n.
-2, -1, 31
Let z(n) = -n**3 - 11*n**2 + 3*n + 35. Let j(u) = -u**2 - 4*u - 11. Let b be j(-4). Let v be z(b). Suppose -8/7*a - 4/7*a**v + 0 = 0. Calculate a.
-2, 0
Let y(u) be the second derivative of 1/80*u**5 + 9/8*u**3 + 27/8*u**2 - 34*u + 0 + 3/16*u**4. Factor y(x).
(x + 3)**3/4
Suppose 104 = 34*n - 134. Let m(q) = -3*q + 23. Let w be m(n). Find j, given that -3/4*j**w + 15/4*j - 9/2 = 0.
2, 3
Let o(p) be the first derivative of -p**6/6 + 8*p**5/5 + 7*p**4 - 80*p**3/3 + 12131. Factor o(z).
-z**2*(z - 10)*(z - 2)*(z + 4)
Let y(v) be the second derivative of 0 - 1/120*v**5 + 13/36*v**3 - 1/180*v**6 + 1/2*v**2 + 68*v + 7/72*v**4. Factor y(c).
-(c - 3)*(c + 1)**2*(c + 2)/6
Factor 0*b**2 + 466 + 5880*b - 2*b**2 + 351 - 817.
-2*b*(b - 2940)
Let w(l) be the first derivative of -1/22*l**4 - 79 + 4/33*l**3 + 3/11*l**2 + 0*l. Determine o, given that w(o) = 0.
-1, 0, 3
Let u = -1320/47 + 3345/94. Suppose 3/2*o**2 + 6 - u*o = 0. Calculate o.
1, 4
Suppose 98 = -105*c + 206 + 102. Let a(w) be the second derivative of 4/45*w**3 - 1/150*w**5 + 0 + 0*w**4 + 0*w**c - 39*w. Factor a(m).
-2*m*(m - 2)