) = 0.
-1, 0
Let n(q) be the second derivative of 0*q**6 + 0*q**3 - 1/84*q**7 + 0 + 3/40*q**5 - q - 1/12*q**4 + 0*q**2. Factor n(g).
-g**2*(g - 1)**2*(g + 2)/2
Let u(l) = -23*l**3 + 48*l**2 - 11*l - 6. Let p(q) = -162*q**3 + 336*q**2 - 78*q - 42. Let k(t) = 4*p(t) - 27*u(t). Let k(d) = 0. What is d?
-2/9, 1
Suppose -15*i = 1 - 31. Let 20*x - 4*x**2 + x**2 + 8 + 4*x**3 + 19*x**i = 0. What is x?
-2, -1
Let x(b) be the second derivative of 0 - 3/2*b**2 - 5/3*b**3 + b**4 - 4*b - 2/21*b**7 - 3/10*b**6 + 7/10*b**5. Solve x(l) = 0.
-3, -1, -1/4, 1
Suppose -i - 3 = 4*c, -6*i = -2*i - 4*c - 28. Let u(v) be the first derivative of 1 + 1/11*v**2 + 2/11*v**3 + 0*v + 3/22*v**4 + 2/55*v**i. Factor u(j).
2*j*(j + 1)**3/11
Let s(q) be the second derivative of q**7/21 - 9*q**5/5 - 2*q**4/3 + 19*q**3 - 36*q**2 + 35*q - 4. Let s(d) = 0. What is d?
-3, 1, 4
Let y(h) = -6*h**2 - 381*h + 6834. Let c(q) = q**2 + 76*q - 1367. Let s(a) = 11*c(a) + 2*y(a). Factor s(w).
-(w - 37)**2
Let c(x) = -3*x**3 - 17*x**2 - 9*x**2 + 2 + 23*x**2. Let n(f) = 7*f**3 + 7*f**2 - 5. Let a(h) = 10*c(h) + 4*n(h). Let a(r) = 0. What is r?
-1, 0
Suppose 3*b = -4*g - 9 + 250, 5*g + 4*b = 301. Let n = 61 - g. Find j such that -4/3*j**3 + n*j + 10/3*j**4 + 0*j**2 + 0 = 0.
0, 2/5
Suppose 0*c - 5*z = -4*c + 30, 16 = 4*c + 2*z. Let y be ((-6)/c)/(4/(-5)). Suppose -3/2*v**2 + 0*v + 0 + y*v**3 = 0. What is v?
0, 1
Let t(v) be the second derivative of -v**7/28 - 21*v**6/20 - 261*v**5/20 - 355*v**4/4 - 1425*v**3/4 - 3375*v**2/4 + 139*v + 1. Solve t(k) = 0.
-5, -3
Suppose 0 = d + 5, -2*a = 4*d + 27 - 11. Determine o, given that 3*o + 2*o - a*o**2 - o**2 + o = 0.
0, 2
Suppose 0 = -6*z + 19*z - 26. Let s(p) be the third derivative of 1/210*p**7 + 1/60*p**6 - 1/6*p**3 + 0*p**5 + 0 - 2*p**z - 1/12*p**4 + 0*p. Factor s(v).
(v - 1)*(v + 1)**3
Let b(p) = p**3 - 7*p**2 + p - 10. Let m be b(8). Factor 4*o**5 + 62*o**4 + 18*o**3 - 24*o**2 + 9*o - m*o**4 - 7*o**5.
-3*o*(o - 1)**3*(o + 3)
Let h(n) be the third derivative of n**10/30240 + 5*n**9/12096 + n**8/504 + n**7/252 - n**5/12 - 3*n**2. Let y(u) be the third derivative of h(u). Factor y(l).
5*l*(l + 1)*(l + 2)**2
Determine k so that 0*k**2 + 0 - 1/3*k**4 + 0*k - 2/3*k**3 = 0.
-2, 0
Let x(k) be the second derivative of k**5/190 - 2*k**4/57 + k**3/19 - 2*k. Factor x(r).
2*r*(r - 3)*(r - 1)/19
Let x be (-4 - -3)/(6/1998). Let q = x + 2003/6. What is d in -2/3*d**2 + q*d - 1/6 = 0?
1/4, 1
Suppose -r + 3*t = -80, 3*r + 4*t = 290 + 2. Factor 28*q**4 - 21*q + 2*q + 8 + 108*q**2 - 2*q - r*q**3 - 31*q.
4*(q - 1)**3*(7*q - 2)
Let r be (-91 - -6) + -5 + -1. Let f be ((-3)/(-5))/(4 - r/(-28)). Factor 3/5 + f*n + 1/5*n**2.
(n + 1)*(n + 3)/5
Let 2/5*x**5 - 14/5*x**4 - 32/5*x + 24/5 + 6*x**3 - 2*x**2 = 0. Calculate x.
-1, 1, 2, 3
Suppose 1263*y - 1269*y + 30 = 0. Let p(v) be the third derivative of -1/6*v**4 - 1/15*v**y + 0 + 4/3*v**3 + 9*v**2 + 0*v. Solve p(c) = 0 for c.
-2, 1
Let t(g) = g**4 + 1. Let c(s) = -16*s**4 + 10*s**3 - 12*s**2 - 14. Let m(z) = 2*c(z) + 28*t(z). Let m(q) = 0. Calculate q.
0, 2, 3
Let r(j) be the second derivative of j**6/6 - 5*j**5/2 + 15*j**4 - 140*j**3/3 + 80*j**2 - 10*j - 4. Determine p, given that r(p) = 0.
2, 4
Let a(o) = o**2 - 85*o - 86. Let s(f) = -8*f**2 + 764*f + 772. Let x(c) = 28*a(c) + 3*s(c). Suppose x(w) = 0. What is w?
-1, 23
Let j = -87/5467 - -192579/470162. Let i = 3/86 + j. Determine t, given that 12/7*t**2 + 3/7*t**5 + i*t + 18/7*t**3 + 12/7*t**4 + 0 = 0.
-1, 0
Let s(a) be the second derivative of 3*a**2 + 0 - 1/24*a**4 - 1/3*a**3 + 5*a + 1/30*a**5 + 1/120*a**6. Let h(c) be the first derivative of s(c). Factor h(y).
(y - 1)*(y + 1)*(y + 2)
Let u(o) be the third derivative of 0*o**4 - 15*o**2 - 1/60*o**5 + 0*o + 0*o**3 + 0 - 1/720*o**6. Determine q so that u(q) = 0.
-6, 0
Let q be 6/27 + (192/54)/(-16). Let v = -49/9 - -53/9. Solve 0*a**3 + 0*a + 2/3*a**4 - 2/9*a**2 + v*a**5 + q = 0.
-1, 0, 1/2
Factor 60*a**3 - 336*a**2 - 240 + 1020*a - 3*a**4 - 109*a**2 - 307 - 128 + 43*a**2.
-3*(a - 9)*(a - 5)**2*(a - 1)
Let f(l) = -2*l**4 + 109*l**3 + 144*l**2 - 1085*l + 490. Let i(h) = -2*h**4 - h**3 - h**2. Let a(u) = f(u) - 6*i(u). Solve a(y) = 0 for y.
-7, 1/2, 2
Factor -12*k - 12*k - 20*k + 2*k**2 + 48*k.
2*k*(k + 2)
Let n(l) be the second derivative of l**7/1155 + l**6/660 - l**5/165 + 3*l**2/2 - 15*l. Let k(f) be the first derivative of n(f). Factor k(w).
2*w**2*(w - 1)*(w + 2)/11
Let v be 2 - 104/64 - (-33)/(-216). Factor 0*x + 0 + 2/3*x**3 + 0*x**2 + 8/9*x**4 + v*x**5.
2*x**3*(x + 1)*(x + 3)/9
Let d(z) be the second derivative of -8*z**6/11 + 13*z**5/55 + 13*z**4/22 - 2*z**3/33 - 230*z. Let d(h) = 0. Calculate h.
-1/2, 0, 1/20, 2/3
Let d(t) = -3*t**3 + 6*t**2 - t - 2. Suppose 11 = -2*y + 19. Suppose -2*s = -y*s + 6. Let o(g) = -3*g**3 + 5*g**2 - 2. Let u(r) = s*d(r) - 4*o(r). Factor u(x).
(x - 1)*(x + 1)*(3*x - 2)
Let u be (-400)/24 - (-2 + -9) - (-7)/1. Factor 1/3*k**3 + 0*k**2 + 0 - u*k.
k*(k - 2)*(k + 2)/3
Let s be 22/20 - (-2)/(-4). Let g(l) = 14*l - 154. Let w be g(11). Find b such that -3/5*b**2 - 9/5*b**3 + w - s*b**5 - 9/5*b**4 + 0*b = 0.
-1, 0
Let l be (-27)/63 - (8 + (-1208)/140). Suppose -l*b + 4/5*b**4 - 6/5*b**3 - 1/5*b**5 + 0 + 4/5*b**2 = 0. What is b?
0, 1
Let z(x) = 19*x - 35. Let u be z(5). Let n be (-6)/u*3*-2. Solve -3/5*c**2 + 0 + 3/5*c**3 - n*c**5 + 0*c + 3/5*c**4 = 0.
-1, 0, 1
Let w(d) = -d**3 - 7*d**2 - 3*d - 16. Let z be w(-7). What is b in z*b - b**4 - 2*b**3 + 4*b - 5*b**3 - 15*b**2 + 14*b**3 = 0?
0, 1, 3
Let n(b) be the second derivative of b**4/78 + b**3/3 + 174*b - 1. Let n(i) = 0. Calculate i.
-13, 0
Let f(g) = -8*g + 3. Let j be f(-12). Let o = j + -96. Factor 18/5*w**o + 14/5*w**2 + 0 - 4/5*w.
2*w*(w + 1)*(9*w - 2)/5
Factor -2*n + 8*n**4 - 2*n**5 + 21*n**3 + 2*n + n**3 - 12*n**3.
-2*n**3*(n - 5)*(n + 1)
Let n(w) be the first derivative of -24/5*w - 34 - 1/5*w**3 + 9/5*w**2. Suppose n(g) = 0. What is g?
2, 4
Let q(g) = 7 - 4 + 3*g - 2*g + 2. Let m be q(-5). Factor 2*k**2 + m*k**2 + 0*k**2 + 4*k.
2*k*(k + 2)
Let x(l) be the third derivative of -l**4/24 - l**3/2 + 4*l**2. Let w be x(-5). Solve -p + 3*p**2 - 3*p - 4*p**3 + 3*p**w + 2*p**3 = 0 for p.
0, 1, 2
Let a(n) = -11*n**5 - n**4 + 6*n**3 + 6. Let h = 14 + -13. Let y(r) = -r**5 - r**4 + r**3 + 1. Let j(k) = h*a(k) - 6*y(k). Let j(v) = 0. What is v?
0, 1
Let w(l) be the second derivative of 1/78*l**4 - 2/13*l**2 - 1/39*l**3 + 0 - 5*l. Suppose w(s) = 0. Calculate s.
-1, 2
Let m(j) be the first derivative of 2*j**5/45 - 14*j**4/9 + 196*j**3/9 - 1372*j**2/9 + 4802*j/9 - 266. Factor m(i).
2*(i - 7)**4/9
Let r(m) = -5*m**2 - 13. Let v(q) = -18 + 0 - 3*q**2 - q - 9 - 8*q**2. Let g(h) = 13*r(h) - 6*v(h). Factor g(u).
(u - 1)*(u + 7)
Let z = 60 + -75. Let p(x) = x**3 + 16*x**2 + 14*x - 15. Let d be p(z). Factor 0 + d*q**3 + 1/4*q**4 - 1/4*q**2 + 0*q.
q**2*(q - 1)*(q + 1)/4
Let n(z) be the third derivative of -8*z**7/105 - 37*z**6/30 - 13*z**5/3 - 7*z**4/3 + 5*z**2 + 19. Factor n(y).
-4*y*(y + 2)*(y + 7)*(4*y + 1)
Let f = 11 - 25/3. Let -1/3*i**5 - f*i - 1/3*i**4 + 5/3*i**3 + 1/3*i**2 + 4/3 = 0. Calculate i.
-2, 1
Factor 176/5*v**2 + 14/5*v**4 - 72/5*v**3 + 96/5 - 1/5*v**5 - 208/5*v.
-(v - 6)*(v - 2)**4/5
Suppose -2*v + 3 = -5. Suppose -302*a**3 - 15*a**2 + 47*a**2 - 16*a + 330*a**3 - 20*a**v = 0. Calculate a.
-1, 0, 2/5, 2
Let w be 30/12*12/10. Factor -16*n**2 + 28*n**4 + 4 + 27*n**3 - 64*n**4 + 14*n**3 + 3*n**w - 6*n + 10*n**5.
2*(n - 1)**4*(5*n + 2)
Let i(o) = o**3 + o**2 - o. Let k(z) = 6*z**3 - 8*z**2 - 84*z. Let v(d) = 4*i(d) - k(d). Determine u so that v(u) = 0.
-4, 0, 10
Let 30/17*s**3 + 80/17 + 116/17*s**2 + 168/17*s + 2/17*s**4 = 0. Calculate s.
-10, -2, -1
Determine y so that 221*y + 71*y + 5*y**4 + 100*y**3 - y**4 + 364*y**2 + 44*y - 12*y**2 = 0.
-21, -2, 0
Let g(s) = -5*s**3 + 14*s**2 + 84*s - 160. Let n(o) = 70*o**3 - 195*o**2 - 1175*o + 2240. Let b(v) = -55*g(v) - 4*n(v). Factor b(k).
-5*(k - 4)*(k - 2)*(k + 4)
Suppose 4*r = 12*r - 312. Factor 12*p**3 - r*p + 15*p + 48 + 5*p - 3*p**4 - 29*p.
-3*(p - 2)**3*(p + 2)
Let f be 1/(6/15 + 5/(-75)). Let u = 0 - -5. Determine x so that -37*x**2 + f - 16*x**3 + u*x - 19*x**3 + 5*x**2 - 1 = 0.
-1, -1/5, 2/7
Let m(v) = -2*v**5 + 6*v**3 + 2*v**2 - 6*v**4 + 4*v - 1 - 3 + 0. Let c(u) = -u**4 + u**3 + u - 