hat 11*l**3 - 12*l**2 - 21/2*l**5 + 1 - 1/2*l + f*l**4 = 0.
-1, -2/7, 1/3, 1
Let v(i) = 5*i - 2. Suppose 20 = 4*y, 0 = k + 4*k + 5*y - 30. Let w be v(k). Find m, given that -7*m**2 + 3*m**w + 6*m**2 + 0*m**2 - 2*m**2 = 0.
0, 1
Let a(d) = 100*d**2 - 55*d - 285. Let q(c) = 9*c**2 - 5*c - 26. Let t(g) = -4*a(g) + 45*q(g). Factor t(w).
5*(w - 3)*(w + 2)
Let c be 10/(-30) - (-38)/6. Suppose 4*h = -2*h + c. Suppose -3/2*m**3 + 7/2*m**2 - 5/2*m**4 + 3/2*m - h = 0. Calculate m.
-1, 2/5, 1
Let -1/7 + 17/7*l**2 - 1/7*l - 15/7*l**3 = 0. What is l?
-1/5, 1/3, 1
Let o(b) be the second derivative of 5*b**4/12 - 5*b**2/2 + 23*b. Factor o(y).
5*(y - 1)*(y + 1)
Let j(p) be the second derivative of 14*p**6/135 + 23*p**5/45 + 2*p**4/9 - 83*p. Determine h, given that j(h) = 0.
-3, -2/7, 0
Let r(b) be the first derivative of 3*b**4/4 - 43*b**3 + 1449*b**2/2 - 1323*b + 43. Determine t, given that r(t) = 0.
1, 21
Let t be -12*(-2 + 7/4). What is d in t*d**3 + d**4 - 3*d**4 + 7*d**4 - 3*d**2 - 2*d**4 - 3*d = 0?
-1, 0, 1
Let s be 17 + 8/(-2 - 0). Suppose -s - 14*g - 3*g**2 + 1 + 2*g = 0. What is g?
-2
Let z(f) = f + 40. Let a be z(-7). Let r be 63/a + (3 - 2). Find i, given that -r - 2/11*i**2 + 16/11*i = 0.
4
Let f**4 + 3 - 2 - 64*f**5 + 2*f**3 + 63*f**5 - 1 = 0. What is f?
-1, 0, 2
Let s(x) be the second derivative of 0*x**2 - 13*x - 1/105*x**6 + 0*x**3 + 1/42*x**4 + 0*x**5 + 0. Factor s(z).
-2*z**2*(z - 1)*(z + 1)/7
Suppose -368 = -5*o + 3*n - 386, -4*n + 24 = 0. Determine j so that 0 + 2/5*j**5 + 0*j + o*j**2 + 0*j**3 - 2/5*j**4 = 0.
0, 1
Let j(i) be the third derivative of -i**6/80 + 81*i**5/40 - 159*i**4/16 + 79*i**3/4 - 4*i**2 - 67*i. Determine n, given that j(n) = 0.
1, 79
Let a(s) = -s - 8. Let p be a(-18). Suppose 5*v**3 - 13*v + 10*v + p - 12*v = 0. What is v?
-2, 1
Let m(a) be the first derivative of -a**6/15 - 3*a**5/10 - a**4/6 - 33*a**2/2 + 43. Let h(p) be the second derivative of m(p). What is k in h(k) = 0?
-2, -1/4, 0
Let s(y) be the second derivative of -3*y**5/20 - 3*y**4/2 + 2*y - 484. Factor s(o).
-3*o**2*(o + 6)
Let k(u) be the second derivative of -u**5/5 + 2*u**4 - 16*u**3/3 + u. Factor k(f).
-4*f*(f - 4)*(f - 2)
Let a(j) = -575*j**2 - 15335*j - 1078065. Let i(r) = -53*r**2 - 1394*r - 98006. Let s(o) = 6*a(o) - 65*i(o). Factor s(d).
-5*(d + 140)**2
Let x(u) = u**2 + u - 7. Let c be x(-4). Let a(v) be the second derivative of 0 - 1/39*v**3 - 1/39*v**4 - 2*v + 0*v**2 - 1/130*v**c. Let a(f) = 0. What is f?
-1, 0
Let x be (8/30)/((-4)/(-2)). Let m = -198 + 2972/15. Factor 0 + m*z**3 + 2/15*z**2 - 2/15*z - x*z**4.
-2*z*(z - 1)**2*(z + 1)/15
Let x(b) be the first derivative of b**5/20 + 7*b**4/16 + 17*b**3/12 + 17*b**2/8 + 3*b/2 - 210. Find l, given that x(l) = 0.
-3, -2, -1
Let s = 7134 + -21398/3. What is v in -s - 8/3*v - 5/3*v**2 - 1/3*v**3 = 0?
-2, -1
Let d = 520 + -520. Suppose 2*l = -3*l + 15. Find p, given that l*p**4 - 12*p**3 - 12*p - 3 - 6*p**4 - 18*p**2 + d*p**4 = 0.
-1
Factor -32*g - 256/3 - 4*g**2 - 1/6*g**3.
-(g + 8)**3/6
Factor -40/11*z + 4/11*z**3 + 24/11 - 18/11*z**2.
2*(z - 6)*(z + 2)*(2*z - 1)/11
Let s = -507 + 510. Let a(b) be the first derivative of -4*b + s + b**3 + 1/4*b**4 + 0*b**2. Let a(d) = 0. Calculate d.
-2, 1
Let n = 9117 - 72935/8. Determine f, given that n*f**2 + 2 + f = 0.
-4
Suppose 0 = -4*c + 3*c + 2. Let o be -6 - -11 - 1*c. Factor -3*f**o + 2*f + 17*f**4 - 31*f**4 + f**2 + 13*f**4 + f**5.
f*(f - 2)*(f - 1)*(f + 1)**2
Suppose 0 = -4*x + 1 + 19. Suppose -4*z - 5*v = 8, v - 7 = -5*z - v. Factor 7*r - 5*r**z - 4*r**3 + 4*r**x + r**3 - 3*r.
4*r*(r - 1)**2*(r + 1)**2
Let j(x) = -x**2 - 4*x + 146. Let m be j(-14). Let u(z) be the third derivative of 0*z**5 + 0 - m*z**2 + 0*z**3 - 1/200*z**6 + 0*z + 1/40*z**4. Factor u(l).
-3*l*(l - 1)*(l + 1)/5
Let r be (-6)/(-5)*20/(-8)*2. Let f be 52/(-14) + 2 + (-12)/r. Suppose f*s**2 - 2/7 + 0*s = 0. What is s?
-1, 1
Factor -1/7*n**4 - 12/7*n**3 - 4*n - 30/7*n**2 - 9/7.
-(n + 1)**3*(n + 9)/7
Factor -27 + 4*a**3 + 45*a - 1/4*a**4 - 87/4*a**2.
-(a - 6)**2*(a - 3)*(a - 1)/4
Let j be 1*(72/10)/3. Suppose -4*o + 6 = 3*u, 46*o - 10 = -5*u + 48*o. Factor -12/5*a + 3/5*a**u + j.
3*(a - 2)**2/5
Let t(b) be the third derivative of b**8/504 - 2*b**7/35 + 4*b**6/9 + b**5/5 - 9*b**4/4 - 99*b**2 - 2. Solve t(i) = 0 for i.
-1, 0, 1, 9
Suppose -8*m = 5*u - 20 + 44, 0 = 2*u + 4*m + 12. Let z be (2/(-24))/((-10)/16). Factor -4/15*t**2 + u + z*t + 2/15*t**3.
2*t*(t - 1)**2/15
Let h(u) be the second derivative of 1/3*u**4 + 4/3*u**3 - 2/5*u**6 - 4/5*u**5 - 5*u + 0 + 0*u**2. Factor h(r).
-4*r*(r + 1)**2*(3*r - 2)
Let r(p) be the third derivative of -p**8/784 - 51*p**7/49 - 2601*p**6/7 - 530604*p**5/7 - 67652010*p**4/7 - 5520404016*p**3/7 + 121*p**2. Factor r(w).
-3*(w + 102)**5/7
Let y(k) be the second derivative of 3*k**5/4 + 9*k**4/4 + 2*k**3 + 5*k. Factor y(i).
3*i*(i + 1)*(5*i + 4)
Let y(m) be the third derivative of -128*m**5/15 + 8*m**4 - 3*m**3 + 289*m**2. Factor y(f).
-2*(16*f - 3)**2
Let r(o) be the second derivative of -o**4/108 + 119*o**3/54 + 2*o - 317. Factor r(c).
-c*(c - 119)/9
Suppose 5*d = 3*s + 6*d - 809, 0 = 5*s - 2*d - 1363. Let g = s - 1894/7. Find h, given that -g*h + 5/7*h**2 - 2/7 = 0.
-2/5, 1
Let o(w) = 21*w**2 - 40*w - 116. Let v(x) = 4*x**2 - 8*x - 22. Let n(m) = -4*o(m) + 22*v(m). Factor n(a).
4*(a - 5)*(a + 1)
Let g(y) = -3*y - 10. Let c be g(-4). Factor 5*t**2 - 6*t + 3 + 0*t**2 - c*t**2.
3*(t - 1)**2
Let u(o) be the first derivative of 5 + 4/11*o**2 - 2/33*o**3 + 8/11*o - 1/22*o**4. Let u(d) = 0. What is d?
-2, -1, 2
Let f(p) be the first derivative of -p**4/5 - 4*p**3/15 + 2*p**2 - 12*p/5 - 72. Factor f(y).
-4*(y - 1)**2*(y + 3)/5
Let f = 143/1800 - 1/100. Let j(q) be the second derivative of 0 - 1/9*q**3 + f*q**4 - 1/60*q**5 + 12*q + 1/12*q**2. Suppose j(p) = 0. What is p?
1/2, 1
Let m(t) = 8*t - 4. Let f be m(6). Solve -34*d**4 - d**3 + 5*d**3 - 10*d**2 - d + f*d**4 - 3*d = 0 for d.
-1, -2/5, 0, 1
Let l(z) be the first derivative of -4*z**3/21 + 6*z**2/7 + 72*z/7 - 732. Find a, given that l(a) = 0.
-3, 6
Suppose -5*z - 9 = -29. Let r be ((-15)/10)/((-2)/z). Find w such that -5*w**r - 3*w**4 - 3*w**4 + 8*w**3 + 3*w**4 = 0.
0, 1
Factor 48/7 + 20/7*q - 6/7*q**2 - 2/7*q**3.
-2*(q - 3)*(q + 2)*(q + 4)/7
Find w such that 0*w - 46/7*w**4 + 0 + 52/7*w**3 - 2/7*w**5 + 96/7*w**2 = 0.
-24, -1, 0, 2
Let v(x) be the first derivative of x**5/10 + x**4/2 + 5*x**3/6 + x**2/2 - 18. Let v(b) = 0. What is b?
-2, -1, 0
Suppose 3*w + 2 = -7*o + 3*o, 5*o - 4*w + 18 = 0. Let m be (-2 - (o - -2))*-1. Solve -4*p + p**4 + 8*p**3 - 1 - m*p**4 + 2*p**2 - 85*p**5 + 81*p**5 = 0.
-1, -1/4, 1
Let u(t) be the second derivative of t**7/63 - t**6/9 + 4*t**5/15 - 2*t**4/9 + 7*t - 1. Factor u(y).
2*y**2*(y - 2)**2*(y - 1)/3
Find b such that 3/5 - b + 6/5*b**3 - 1/5*b**4 - 1/5*b**5 - 2/5*b**2 = 0.
-3, -1, 1
Suppose -2*z - 20 = 3*z, -151 = -3*w + z. Factor -w*r**2 - 45*r**3 - 5*r**5 + 21*r**4 + 2*r**5 + 76*r**2.
-3*r**2*(r - 3)**2*(r - 1)
Let o = 9/13 - 95/156. Let b(r) be the second derivative of 3*r + 0 + 0*r**2 + o*r**3 - 1/48*r**4. Determine k so that b(k) = 0.
0, 2
Let s(f) be the first derivative of -9/2*f**2 - 39 + 2*f**3 + 0*f + 3/4*f**4. Factor s(c).
3*c*(c - 1)*(c + 3)
Let j(a) be the second derivative of 3*a**5/100 - a**4/4 - 4*a**3/5 + 18*a**2/5 - 2*a + 50. Factor j(i).
3*(i - 6)*(i - 1)*(i + 2)/5
Let u(l) = l**2 - 7*l + 4. Let d(j) = -j**2 + 14*j - 9. Let r(c) = -4*d(c) - 9*u(c). Let o(v) = -6*v**2 + 7*v. Let m(i) = -6*o(i) + 7*r(i). Factor m(g).
g*(g + 7)
Factor -17 + 23 - 3*d**3 + 19 - 57*d + 11 + 24*d**2.
-3*(d - 4)*(d - 3)*(d - 1)
Let w(s) be the first derivative of -2*s**3/51 - 50*s**2/17 - 1250*s/17 + 100. Factor w(o).
-2*(o + 25)**2/17
Factor -147 + 18*d + 3 - 166*d - 4*d**2.
-4*(d + 1)*(d + 36)
Let c(g) be the first derivative of g**5/15 - 11*g**2/2 + 10. Let r(p) be the second derivative of c(p). Factor r(w).
4*w**2
Let k = 4713 + -4711. Factor -3/2*b**k + 1/2*b**4 + b + 0 + 0*b**3.
b*(b - 1)**2*(b + 2)/2
Let y(h) be the first derivative of -h**4/10 + 38*h**3 - 20448*h**2/5 + 40328*h/5 + 153. Factor y(v).
-2*(v - 142)**2*(v - 1)/5
Let w be ((-114)/(-10))/((-27)/(-135)). Find n, given that 10 - 140*n + w + 31 + 47*n**2 + 3*n**2 = 0.
7/5
Let q be 6/(-32)*72/(-108). Let k(y) be the t