r 4*d + 13*d + 13*d - 23*d - d**2 - 49*d.
-d*(d + 42)
Let y(x) = x**2 + 2*x + 12. Let c = 150 - 147. Let k(m) = -3*m**2 - 3*m - 12. Let f(r) = c*y(r) + 2*k(r). Solve f(w) = 0 for w.
-2, 2
Let a = 27 + 701. Let d = 728 - a. Factor -4/7*i**4 + d + 2/7*i + 0*i**3 + 4/7*i**2 - 2/7*i**5.
-2*i*(i - 1)*(i + 1)**3/7
Let m(v) be the first derivative of -17 - 48*v**2 - 6*v**4 - 3/5*v**5 + 33*v + 30*v**3. Let m(c) = 0. Calculate c.
-11, 1
Let y(a) be the third derivative of -a**6/1620 - a**5/108 - a**4/18 + 23*a**3/3 - 2*a**2 + 42. Let n(z) be the first derivative of y(z). Factor n(r).
-2*(r + 2)*(r + 3)/9
Factor -47628*g - 1/4*g**3 - 4000752 - 189*g**2.
-(g + 252)**3/4
Let z(n) be the second derivative of n**5/570 + n**4/76 - 13*n**2 + 52*n. Let v(k) be the first derivative of z(k). Factor v(y).
2*y*(y + 3)/19
Let o(q) be the third derivative of 25/2*q**3 + 0 - 1/24*q**6 + 55*q**2 + 0*q + 17/12*q**5 - 155/24*q**4. Solve o(a) = 0.
1, 15
Factor 124*a + 55 - 232 + 127*a**2 - 126*a**2 - 75.
(a - 2)*(a + 126)
Let n = 7/744 + 111965/744. Let f = -150 + n. Factor 1/2*t**4 + 0*t**2 + 0 + 0*t - f*t**3.
t**3*(t - 1)/2
Factor u**5 - 16*u**3 - 8*u**3 - 16*u**4 + 39*u**3 + 17 - 17.
u**3*(u - 15)*(u - 1)
Let p = 169889 - 169886. Factor 2/3 - 6*x**2 - 2*x - 10/3*x**p.
-2*(x + 1)**2*(5*x - 1)/3
Let o(w) be the third derivative of -w**6/540 - 77*w**5/270 + 157*w**4/108 - 79*w**3/27 - 353*w**2. Determine p so that o(p) = 0.
-79, 1
Let d(x) = -x**3 - 4*x**2 + 35*x + 111. Let a(b) = -4*b**3 - 15*b**2 + 142*b + 442. Let h(v) = 6*a(v) - 22*d(v). Factor h(y).
-2*(y - 7)*(y + 3)*(y + 5)
Let i be (-3)/(2 - 5) - (-5 + 0). Let t be 2/(-10)*((-3 - i) + 8). Factor t - 1/5*d**2 + 0*d.
-(d - 1)*(d + 1)/5
Let j(c) = 3*c + 2. Suppose 4*z = 10*z. Let t be j(z). Suppose 8*g**3 - t*g**3 - 9*g**3 - 3*g - 6*g**2 = 0. Calculate g.
-1, 0
Let f be (-29726)/(-7515) + 18/405. Determine d so that 4/3*d + f - 7/3*d**2 + 1/3*d**3 = 0.
-1, 2, 6
Let i = -282976 - -282978. Let 3 + 1/4*h**i + 7/4*h = 0. Calculate h.
-4, -3
Let l = 1281169/1270 - 405/254. Let n = 1008 - l. Suppose n*s**2 - 12/5 + 8/5*s = 0. What is s?
-3, 1
Let h = -852215925901/6376394 - -22319874/167. Let z = h - 1/2246. Factor 2/17*a**2 - z*a + 0.
2*a*(a - 2)/17
Factor -215/3*x + 0 + 1/3*x**2.
x*(x - 215)/3
Let m(q) be the second derivative of -3/5*q**2 + 0 + 2/15*q**3 - 65*q + 1/30*q**4. Factor m(u).
2*(u - 1)*(u + 3)/5
Let g be ((-31968)/8991)/(3/(27/(-6))). Determine h so that -1/3*h**3 - 7/3*h**2 + g - 8/3*h = 0.
-4, 1
Factor 2/3*x**2 - 130/3*x + 128/3.
2*(x - 64)*(x - 1)/3
Let w(c) = -4*c - 2. Let t(v) = v**3 + 2*v**2 + 7. Let m be t(-3). Let z be w(m). Suppose -z + 7 - 2*n**3 - 6 + 3*n**3 - 7*n**2 + 11*n = 0. What is n?
1, 5
Suppose 2 - 4 = 2*y. Let x be (4/4 + 2 - 6)/y. Factor 10*q**x + 32*q**2 + 3*q - 50*q**4 + 10*q - 5*q.
-2*q*(q - 1)*(5*q + 2)**2
Let w be (-350)/36 + (-37)/(1110/(-300)). Let u(n) be the first derivative of -18 + 0*n + 1/3*n**2 - w*n**3 + 1/24*n**4. Factor u(c).
c*(c - 4)*(c - 1)/6
Suppose -y - 37 + 47 = 5*h, y + 3*h = 22. Factor -y + 8/5*v**3 + 168*v - 162/5*v**2.
2*(v - 10)**2*(4*v - 1)/5
Let p(u) be the third derivative of u**8/168 - u**7/9 + 13*u**6/20 - 137*u**5/90 + 2*u**4/3 + 28*u**3/9 + 4*u**2 - 217. Solve p(s) = 0.
-1/3, 1, 2, 7
Let c be 4 + -10 + (3 - -8). Determine u, given that -10*u**2 + 20*u**3 - 26 + 71 + c*u**4 - 135*u + 75*u = 0.
-3, 1
Let d = -17749/195 - -3581/39. Let 0 + d*s**2 + 64/5*s = 0. Calculate s.
-16, 0
Let a(w) be the first derivative of 1/27*w**6 - 31/18*w**4 + 2/9*w**5 - 136 + 0*w + 86/27*w**3 - 2*w**2. Suppose a(v) = 0. What is v?
-9, 0, 1, 2
Let u(m) be the third derivative of -m**5/100 - 643*m**4/120 - 107*m**3/15 - 249*m**2 + 6. Factor u(r).
-(r + 214)*(3*r + 1)/5
Let y(r) = -1. Let h(x) = 3*x - 14. Let q(p) = -h(p) + 6*y(p). Let s be q(2). Suppose s*z**2 + 4*z - 6*z + z + 3*z - 4 = 0. What is z?
-2, 1
Let h be 1305/725*600/140. Factor -h*v + 24/7 - 15/7*v**2.
-3*(v + 4)*(5*v - 2)/7
Let g(f) be the second derivative of -f**4/2 + 177*f**3/2 - 132*f**2 + 167*f. Factor g(x).
-3*(x - 88)*(2*x - 1)
Let i(m) be the second derivative of -m**5/150 + 7*m**4/90 - 7*m**3/45 - m**2 + 211*m - 1. What is u in i(u) = 0?
-1, 3, 5
Let b be 9/33*(-6 - -28) + 2. Find g such that -56/5 + 4/5*g**5 + 16/5*g**2 - 92/5*g + b*g**4 + 88/5*g**3 = 0.
-7, -2, -1, 1
Let c(b) be the second derivative of -b**4/54 - 17*b**3/27 + 28*b**2/3 - 1145*b. Factor c(i).
-2*(i - 4)*(i + 21)/9
Let k(h) be the first derivative of h**4/2 + 4*h**3/3 - 3*h**2 - 4*h + 56. Let c(f) = f. Let x(j) = -4*c(j) - k(j). What is q in x(q) = 0?
-2, -1, 1
Let o be 27 + -29 + 10/2 - 0. Let n be (-7)/(-14) + 10/(-56)*2. What is w in 2/7*w + n*w**o + 0 + 3/7*w**2 = 0?
-2, -1, 0
What is p in 282/7*p**4 - 15/7*p**5 - 492/7*p - 24 + 1506/7*p**2 - 159*p**3 = 0?
-1/5, 1, 2, 14
Find g such that 5*g**4 - 2*g**4 - 48*g**3 + 71*g - 3*g**2 + 89591*g**5 + 73*g - 9*g**2 - 89588*g**5 = 0.
-4, -2, 0, 2, 3
Let l(w) be the first derivative of -4/9*w**3 + 0*w**4 + 2/15*w**5 - 44 + 2/3*w + 0*w**2. Factor l(g).
2*(g - 1)**2*(g + 1)**2/3
Let t be (-8 + 1)*-6 - 6. Let m(c) = -c**3 + 35*c**2 + 37*c - 36. Let z be m(t). Let z*w + 3/2 - 3/2*w**2 = 0. Calculate w.
-1, 1
Let u be 8/(-80) + (-42)/(-20). Factor -b**3 + 1 - 26 - 20*b**2 + 21*b**u + 14*b + 1.
-(b - 3)*(b - 2)*(b + 4)
Let a(d) = -3*d**3 - 7*d**2 - 9*d - 10. Let m be a(-2). Solve -6*w**4 - 600*w**2 - 43443*w - 64557*w + 2*w**m - 360*w**3 - 3463*w**2 - 6737*w**2 = 0.
-30, 0
Let s be 144/(-3*2/(-6)). Let m be 4/(-14) - ((-30)/(-42) - 4). Suppose 28*h**m + 156*h - 14 + 5*h**3 - 34 - 6*h**3 - s*h**2 = 0. Calculate h.
2/3, 4
Suppose 70*l - 6*l = 1920. Let c be (-2)/l + (155/(-15) - -11). Solve 0 - 1/5*t**2 + c*t = 0.
0, 3
Suppose 5*l - 2*b + 163 = 2*l, 5*l + 263 = -b. Let a = -45 - l. Factor -a*t**4 - t**3 - 2*t**4 + 11*t**4.
t**3*(t - 1)
Let -28/5*g**5 + 484/5*g**2 + 204/5*g**4 - 476/5*g**3 + 32/5 - 216/5*g = 0. Calculate g.
2/7, 1, 4
Factor -2/3*a**3 - 200/3 + 34*a**2 - 32*a.
-2*(a - 50)*(a - 2)*(a + 1)/3
Let k(z) = 2*z**2 + 4. Let r be k(-2). Factor -r*j + 67*j**2 - 11 - 2*j - 69*j**2 - 1.
-2*(j + 1)*(j + 6)
Let l(b) be the first derivative of -5/4*b**4 + 0*b**2 + 0*b + 61 - 3/2*b**5 + 0*b**3 - 5/12*b**6. Suppose l(a) = 0. What is a?
-2, -1, 0
Let r(x) be the third derivative of 7*x**7/30 - 21*x**6/40 - x**5/4 + 23*x**4/24 + x**3 - 993*x**2. Factor r(p).
(p - 1)**2*(7*p + 2)*(7*p + 3)
Let v(k) be the second derivative of -k**6/30 - 9*k**5/80 + 17*k**4/24 + 27*k**3/8 + 9*k**2/4 + k - 2151. Solve v(h) = 0.
-3, -2, -1/4, 3
Let t be (-3 + -2 + (-748)/(-165))*(-2106)/273. Solve t*x**4 + 36/5*x**2 - 39/5*x**3 - 3/5*x**5 - 12/5*x + 0 = 0 for x.
0, 1, 2
Let r(c) be the third derivative of -c**6/1080 - 5*c**5/36 - 625*c**4/72 - 11*c**3/3 - 161*c**2. Let z(o) be the first derivative of r(o). Factor z(p).
-(p + 25)**2/3
Let k(c) be the second derivative of -3*c + 0*c**2 + 1 - 5/12*c**4 + 5/3*c**3. Factor k(u).
-5*u*(u - 2)
Let l(g) be the first derivative of -72/11*g + 18/55*g**5 + 24/11*g**2 - 27/22*g**4 + 46/33*g**3 - 48 - 1/33*g**6. Suppose l(u) = 0. Calculate u.
-1, 2, 3
Let d = -327/44 - -90/11. Let h = 1/351309 - -1053923/1405236. Let -3/2*r**2 - 1/4*r**5 + 1/2*r**3 + d*r**4 - 1/4*r + h = 0. Calculate r.
-1, 1, 3
Suppose -326/11*r - 424/11 + 2/11*r**3 + 100/11*r**2 = 0. Calculate r.
-53, -1, 4
Let p = 69499 + -764481/11. Determine v so that 8/11*v**3 + p*v + 12/11*v**2 + 2/11*v**4 + 2/11 = 0.
-1
Let j(n) = -n**2 + 15*n - 6. Let p be j(10). Let r(m) = -13 - 62*m + 13 - p*m**2. Let y(o) = 5*o**2 + 7*o. Let z(k) = -6*r(k) - 52*y(k). Factor z(q).
4*q*(q + 2)
Let l = 39122/7539 + -50/1077. Factor -l - 40/7*j - 4/7*j**2.
-4*(j + 1)*(j + 9)/7
Let v(f) = f**3 - 11*f**2 + 22*f + 19. Let g be v(8). Factor g*z**5 + 9*z + 36*z**3 + 18*z**4 + 1219 + 30*z**2 - 1219.
3*z*(z + 1)**3*(z + 3)
Let w(c) be the third derivative of 1/504*c**8 + 1/12*c**6 - c + 13/90*c**5 + 1/45*c**7 + 0 + 0*c**3 - 2*c**2 + 1/9*c**4. Determine j, given that w(j) = 0.
-4, -1, 0
Suppose 84/11 + 238/11*d**2 + 54/11*d**3 - 4/11*d**5 - 290/11*d - 82/11*d**4 = 0. What is d?
-21, -2, 1/2, 1
Suppose 2*u = u - 5*c + 15, 5*u = -5*c + 75. Factor -6*j - u*j**2 - 10*j**3 + 43*j - 27*j.
-5*j*(j + 2)*(2*j - 1)
Let n = -269 + 271. Find k, given that 2*k**2 