= -1807 - 1209. Factor 0*b + 2/7*b**2 + 0 + 8/7*b**l + b**3 + 3/7*b**5.
b**2*(b + 1)**2*(3*b + 2)/7
Let d(y) be the first derivative of -y**4 + 76*y**3/3 - 180*y**2 + 288*y + 1218. Find c such that d(c) = 0.
1, 6, 12
Let v(n) be the second derivative of n**4/48 - 57*n**3/8 + 85*n**2/4 - 2906*n. Determine f so that v(f) = 0.
1, 170
Let m(k) be the second derivative of 5/12*k**4 - 5*k - 5*k**3 + 1/4*k**5 + 0*k**2 - 17. Let m(b) = 0. What is b?
-3, 0, 2
Let t(x) = 75*x - 45*x - 49*x - 27 - x**2 + 4 - 7. Let j(p) = -3*p**2 - 59*p - 90. Let a(g) = -6*j(g) + 17*t(g). Suppose a(f) = 0. What is f?
-30, -1
Suppose -44633*m + 366 = -44511*m. Factor 9/2 + 15/2*w**2 + 13*w - w**m.
-(w - 9)*(w + 1)*(2*w + 1)/2
Let h(s) be the second derivative of -9*s**5/4 + 805*s**4/4 - 1595*s**3/6 + 265*s**2/2 + 523*s - 6. Let h(d) = 0. Calculate d.
1/3, 53
Determine d, given that -2*d**2 - 176*d - 204 - 41*d + d - 41 - 179 = 0.
-106, -2
Let m(r) be the third derivative of -r**5/18 + 1523*r**4/36 + 610*r**3/9 - 1242*r**2 - 2. Let m(o) = 0. Calculate o.
-2/5, 305
Suppose 3*t - 8 = -2*n, 3*n - 7 = -13. Factor -7*s - t*s**5 + 66*s**4 - 4*s**2 - 31*s**4 + 5*s + 6*s**5 - 31*s**4.
2*s*(s - 1)*(s + 1)**3
Let m(a) be the second derivative of -a**6/90 - 57*a**5/20 - 2805*a. Find v, given that m(v) = 0.
-171, 0
Let f(o) be the first derivative of -1/2*o**4 + 28/3*o**3 - 65*o**2 + 200*o - 300. Factor f(j).
-2*(j - 5)**2*(j - 4)
Factor -2/5*u**2 - 528/5*u + 538.
-2*(u - 5)*(u + 269)/5
Let j = 3562 + -53428/15. Let n(b) be the third derivative of -j*b**5 + 0 + 1/4*b**4 + 16*b**2 + 0*b**3 + 0*b. Factor n(a).
-2*a*(4*a - 3)
Let f(z) = 2*z**5 - 26*z**4 - 112*z**3 - 220*z**2 - 173*z - 37. Let h(x) = -2*x**4 + x + 3. Let m(n) = f(n) - 5*h(n). Let m(a) = 0. Calculate a.
-2, -1, 13
Suppose -29*q = 85*q - 8*q. Let m(u) be the second derivative of 0*u**3 - 17*u + 0 + 1/12*u**4 + q*u**2. Determine o so that m(o) = 0.
0
Let w(s) = 3*s**2 - 16*s - 3. Let f be 2 - 63/(-15) - (-2)/(-10). Let v be w(f). Factor 9*b - 4*b + 2*b - b - v - b**2.
-(b - 3)**2
Let t = 241771 - 241767. Find c, given that 0 - 1/3*c**5 + c**3 - 2/3*c**t + 4/3*c**2 - 4/3*c = 0.
-2, 0, 1
Let x(g) be the second derivative of -g**7/42 - 7*g**6/10 - 9*g**5/2 + 81*g**4/2 + 729*g**3/2 - 6561*g**2/2 - 2*g - 305. Factor x(t).
-(t - 3)**2*(t + 9)**3
Let r be (-23294)/7356*(-8)/6. Let 1/9*a**2 + 361/9 - r*a = 0. What is a?
19
Let v be (((-675)/1500)/(42/(-16)))/(3 - 19/7). Factor 315*n + v*n**3 - 2646/5 - 132/5*n**2.
3*(n - 21)**2*(n - 2)/5
Factor 5*p**3 + 0*p**3 - 4*p**3 - 73*p**2 + 13*p**2 - 203*p**2.
p**2*(p - 263)
Suppose -2/3*k**2 + 120*k + 0 = 0. What is k?
0, 180
Let s(q) be the second derivative of 0 - 121/5*q**4 - 1331/50*q**5 - 44/5*q**3 + 37*q - 8/5*q**2. Suppose s(x) = 0. Calculate x.
-2/11
Find c such that 65*c + 9*c**2 - 357*c - 20*c**2 + 9*c**2 + 592 = 0.
-148, 2
Let p(d) be the second derivative of -15/8*d**2 + 9/16*d**3 + 1/32*d**4 + 1 - 9*d. Determine i, given that p(i) = 0.
-10, 1
Factor 14/15*d**3 + 48/5 + 22/5*d**2 - 524/15*d.
2*(d - 4)*(d + 9)*(7*d - 2)/15
Let a(v) be the second derivative of v**5/15 - v**4/6 - 4*v**3 + 36*v**2 + v + 21. Let u(m) be the first derivative of a(m). Factor u(i).
4*(i - 3)*(i + 2)
Suppose 4*a + 3*o - 13 = 0, 2*o - 2 = -a - 0*a. Suppose -a*j = -i - 0 - 8, -5*i + 2 = j. Let 30*t - 15*t**2 + 12*t**j - 31*t = 0. Calculate t.
-1/3, 0
Let d(v) = -v**3 + 20*v**2 + 42*v + 46. Let u be d(22). Let i = 4019/14042 + -1/2006. Find c such that 4/7*c**u + i*c**3 - 4/7 - 2/7*c = 0.
-2, -1, 1
Let p(d) = 4*d**4 - 175*d**3 + 39*d**2 - 5*d. Let c(g) = -2*g**4 + 88*g**3 - 15*g**2 + 3*g. Let q(r) = -5*c(r) - 3*p(r). Factor q(k).
-k**2*(k - 42)*(2*k - 1)
Suppose 10*a - 164 = 7*a - 38*a. Let t(m) be the third derivative of 0*m**3 + 1/90*m**6 + 0*m + 0 + 0*m**5 - 1/18*m**a + 30*m**2. Factor t(h).
4*h*(h - 1)*(h + 1)/3
Find k, given that 0*k**4 - 20/3 - 2/3*k**5 + 22*k - 76/3*k**2 + 32/3*k**3 = 0.
-5, 1, 2
Let w(b) be the first derivative of 12/35*b**5 + 0*b + 208 - 1/14*b**6 - 18/7*b**2 - 4/7*b**3 + 39/28*b**4. Suppose w(h) = 0. Calculate h.
-2, -1, 0, 1, 6
Suppose -n = -2*s - 17, 5*n + 2*s - 35 = -10. Suppose 0 = -3*p - 2*p - 25, 0 = -5*c + 2*p + 120. Factor n*o**2 - 12*o + 125 - c*o - 2*o**2 - 16*o.
5*(o - 5)**2
Let z(l) = -6*l**2 - 469*l + 952. Let k(n) = 2*n**2 + n. Let g(h) = k(h) + z(h). Suppose g(b) = 0. What is b?
-119, 2
Let r(f) be the third derivative of 74*f**2 + 1/336*f**8 + 7/120*f**6 + 0 + 0*f**3 - 1/20*f**5 - 1/42*f**7 + 0*f**4 + 0*f. Solve r(p) = 0 for p.
0, 1, 3
Factor 2592/7*z - 279936/7 - 6/7*z**2.
-6*(z - 216)**2/7
Let r(w) be the second derivative of -w**8/3360 - 13*w**7/1260 + w**6/12 + 4*w**4/3 - 92*w. Let b(t) be the third derivative of r(t). Factor b(p).
-2*p*(p - 2)*(p + 15)
Let m be (-546)/(-65)*(-15)/(-2). Let b = -61 + m. Factor -570*a**2 + a**3 + 578*a**b - 8*a - 3*a**3.
-2*a*(a - 2)**2
Let c(z) be the second derivative of -4/3*z**3 - 40*z**2 - 1 - 1/60*z**4 + 29*z. Determine r so that c(r) = 0.
-20
Let u = -432178/7 + 61740. Factor u*l**2 - 8/7 + 2/7*l**3 - 8/7*l.
2*(l - 2)*(l + 1)*(l + 2)/7
Let h(c) be the first derivative of c**3/4 - 93*c**2/4 + 2451*c/4 + 6292. Factor h(g).
3*(g - 43)*(g - 19)/4
Suppose 2*z + 5*d = d - 88, d - 88 = 2*z. Let k = -42 - z. Factor 7*c**2 + 8*c**2 - 17*c**k.
-2*c**2
Let o = 200590 + -200588. Let 1/4*i**5 + 0 + 2*i**o + 3/2*i**4 + 0*i + 3*i**3 = 0. What is i?
-2, 0
Let w(z) = 62*z**2 - 31*z + 27. Let u be w(-5). Let p = u + -1729. Solve -4/3*a**2 + 2/9*a**p - 16/9 + 8/3*a = 0.
2
Let m(l) be the first derivative of -25 + 15*l + 15/4*l**4 + 65/3*l**3 + 65/2*l**2. Factor m(f).
5*(f + 1)*(f + 3)*(3*f + 1)
Let p(o) be the third derivative of o**6/60 + 71*o**5/30 + 35*o**4/6 + 4198*o**2. Factor p(z).
2*z*(z + 1)*(z + 70)
Let -2*y**4 - 3*y**3 - 1/3*y**5 + 0 + 4*y + 4/3*y**2 = 0. Calculate y.
-3, -2, 0, 1
Let z = 1/3155 + 3113/132510. Let f(w) be the third derivative of 0*w + 1/420*w**6 + 1/21*w**4 + 0*w**3 + z*w**5 - 13*w**2 + 0. Find c, given that f(c) = 0.
-4, -1, 0
Let x(f) be the third derivative of -f**5/60 + f**4/3 + 275*f**3/2 - 2*f**2 + 2685*f + 2. Factor x(a).
-(a - 33)*(a + 25)
Factor -2/11*a**3 - 24/11 - 14/11*a**2 - 32/11*a.
-2*(a + 2)**2*(a + 3)/11
Find l, given that 5/2*l**3 + 1440 + 600*l + 70*l**2 = 0.
-12, -4
Let x(g) = -6*g**2 + 60*g - 126. Suppose 0 = 7*k + 22*k - 145. Let z(n) = 4*n**2 - 40*n + 84. Let s(r) = k*x(r) + 7*z(r). Factor s(j).
-2*(j - 7)*(j - 3)
Let a(f) be the first derivative of -7*f**5/15 - 163*f**4/12 - 293*f**3/3 + 763*f**2/6 + 286*f/3 - 12805. Find j, given that a(j) = 0.
-13, -11, -2/7, 1
Let p(r) = 5*r**3 + 2*r - 1. Let v be p(1). Let l be (10 - 15)*v/(-10) - 3. Find m such that l*m**2 + 0*m + 0 + 2/3*m**3 + 2/3*m**5 + 4/3*m**4 = 0.
-1, 0
Let x = -33 - -36. Let t(r) = -1 - 9*r + r + 4*r + x*r - r**2. Let z(p) = -3*p**2 - 12*p - 15. Let u(f) = -6*t(f) + z(f). Determine g so that u(g) = 0.
-1, 3
Let i be (-13 - -7) + 35 + -5. Factor 3*f**3 - i*f**2 + 1 + 14*f + 4*f + 33*f - 31.
3*(f - 5)*(f - 2)*(f - 1)
Let r be 13/5 - 2/(-5). Let b = -30261 + 30261. Factor -2/7*t**r + b - 4/7*t**2 + 0*t.
-2*t**2*(t + 2)/7
Suppose -191*q = -186*q - 350. Suppose -59*w = -q*w. What is c in 2/9*c + w + 2/9*c**3 + 4/9*c**2 = 0?
-1, 0
Let m(p) be the second derivative of 0 - 1/10*p**5 - 98*p + 13*p**3 + 1/3*p**4 + 72*p**2. Factor m(v).
-2*(v - 8)*(v + 3)**2
Let x(v) = -8*v**2 + 1292*v. Let u(f) = -11*f**2 + 1289*f. Let t(d) = -4*u(d) + 5*x(d). Factor t(z).
4*z*(z + 326)
Solve -292/3*v**3 - 2/9*v**4 + 129064/3*v - 94154/9*v**2 - 390728/9 = 0 for v.
-221, 2
Let v = 34 + -27. Let j be -2 - ((-33)/18 - v/42). Let 4/3*s**3 - 4/3*s + 2/3*s**4 - 2/3*s**2 + j = 0. Calculate s.
-2, -1, 0, 1
Let x be (((-189)/(-14))/9)/(1/(-18)). Let z be 10/(-20)*(x/(-21) - 3). Factor -8/7*a**2 + 0 - z*a.
-2*a*(4*a + 3)/7
Let q(p) be the first derivative of 0*p**3 + 1/120*p**6 + 16*p + 15 - 1/24*p**4 + 0*p**2 + 1/80*p**5. Let b(t) be the first derivative of q(t). Factor b(l).
l**2*(l - 1)*(l + 2)/4
Let z(j) be the first derivative of -8*j + 1/9*j**2 + 1/18*j**4 - 2 - 4/27*j**3. Let b(g) be the first derivative of z(g). Solve b(q) = 0.
1/3, 1
Let a = -872 + 870. Let z(y) = -y**3 + y**2 - y. Let i be (-8)/(-5) - 4/(-10). Let p(w) = w**3 + w**2 - w. Let m(j) = a*